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Query: /api/nf_fields/?degree=i12&r2=i5&_offset=0
Show schema
  1. label: 12.2.167630295667.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -3, 4, -1, -6, 15, -19, 15, -6, -1, 4, -3, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 167630295667, 'disc_rad': 2684791, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [23040, 23040, 23040], 'galois_label': '12T293', 'galt': 293, 'grd': 1638.5331855046452, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.167630295667.1', 'local_algs': ['29.2.1.0a1.1', '29.3.1.0a1.1', '29.3.1.0a1.1', '29.2.2.2a1.2', '43.1.2.1a1.2', '43.10.1.0a1.1', 'm2153.1.1.0', 'm2153.1.1.0', 'm2153.1.1.0', 'm2153.1.1.0', 'm2153.2.1.1', 'm2153.2.1.1', 'm2153.1.4.0'], 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [29, 43, 2153], 'rd': 8.61713127762, 'regulator': {'__RealLiteral__': 0, 'data': '3.5044254879', 'prec': 40}, 'subfield_mults': [1], 'subfields': ['-1.1.2.-1.-1.0.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  2. label: 12.2.168661105243.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 0, 1, -3, 4, -3, 1, -4, 12, -16, 12, -5, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 168661105243, 'disc_rad': 3361591, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [23040, 23040, 23040], 'galois_label': '12T293', 'galt': 293, 'grd': 1833.46420744993, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.168661105243.1', 'local_algs': ['67.1.2.1a1.2', '67.2.1.0a1.1', '67.2.1.0a1.1', '67.6.1.0a1.1', '131.1.2.1a1.2', '131.1.2.1a1.2', '131.4.1.0a1.1', '131.4.1.0a1.1', 'm383.2.2.2', 'm383.1.8.0'], 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [67, 131, 383], 'rd': 8.62153466041, 'regulator': {'__RealLiteral__': 0, 'data': '3.51670744388', 'prec': 44}, 'subfield_mults': [1], 'subfields': ['-1.3.-4.2.1.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  3. label: 12.2.173809422763.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -1, -3, 4, 0, -2, 0, 4, -2, -2, 3, -2, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 173809422763, 'disc_rad': 110081, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [1536, 1536, 1536], 'galois_label': '12T250', 'galt': 250, 'grd': 331.7845686586403, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.173809422763.1', 'local_algs': ['31.4.1.0a1.1', '31.2.2.2a1.2', '31.2.2.2a1.2', '53.2.2.2a1.2', '53.8.1.0a1.1', '67.1.1.0a1.1', '67.1.1.0a1.1', '67.2.1.0a1.1', '67.1.2.1a1.2', '67.2.1.0a1.1', '67.4.1.0a1.1'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [31, 53, 67], 'rd': 8.64316445422, 'regulator': {'__RealLiteral__': 0, 'data': '3.58278358615', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['-1.1.0.1', '-1.3.-3.4.-1.-2.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  4. label: 12.2.175113024319.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 5, -12, 19, -24, 23, -16, 5, 4, -9, 8, -4, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 175113024319, 'disc_rad': 161713, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [1536, 1536, 1536], 'galois_label': '12T250', 'galt': 250, 'grd': 402.1355492865559, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '12.2.175113024319.1', 'local_algs': ['23.2.1.0a1.1', '23.2.1.0a1.1', '23.4.2.4a1.2', '79.1.1.0a1.1', '79.1.1.0a1.1', '79.2.1.0a1.1', '79.2.1.0a1.1', '79.1.2.1a1.2', '79.4.1.0a1.1', '89.1.2.1a1.2', '89.1.2.1a1.2', '89.4.1.0a1.1', '89.4.1.0a1.1'], 'minimal_sibling': [1, -5, 11, -12, 6, 0, 0, -3, 4, -2, 2, -2, 1], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [23, 79, 89], 'rd': 8.64854807832, 'regulator': {'__RealLiteral__': 0, 'data': '3.59783369219', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['1.0.-1.1', '-1.-1.3.3.-3.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  5. label: 12.2.175122415616.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 6, -17, 30, -37, 30, -12, -6, 17, -16, 10, -4, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 175122415616, 'disc_rad': 13774, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [6912, 2304, 2304], 'galois_label': '12T260', 'galt': 260, 'grd': 234.72537144501445, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.175122415616.1', 'local_algs': ['2.6.2.18a1.17', '71.1.1.0a1.1', '71.1.1.0a1.1', '71.1.1.0a1.1', '71.1.1.0a1.1', '71.2.1.0a1.1', '71.1.2.1a1.1', '71.4.1.0a1.1', '97.1.1.0a1.1', '97.1.1.0a1.1', '97.2.1.0a1.1', '97.2.1.0a1.1', '97.2.1.0a1.1', '97.2.2.2a1.2'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [2, 71, 97], 'rd': 8.64858672911, 'regulator': {'__RealLiteral__': 0, 'data': '3.6007962841', 'prec': 40}, 'subfield_mults': [1, 1], 'subfields': ['-2.0.1', '-1.0.0.-2.3.-2.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  6. label: 12.2.177788874752.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -6, 13, -14, 8, -8, 11, -4, 3, -4, 0, 0, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 177788874752, 'disc_rad': 2914, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [2304, 768, 768], 'galois_label': '12T227', 'galt': 227, 'grd': 107.96295661012624, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '12.2.177788874752.1', 'local_algs': ['2.6.2.12a9.1', '31.1.1.0a1.1', '31.1.1.0a1.1', '31.2.1.0a1.1', '31.4.2.4a1.2', '47.1.1.0a1.1', '47.1.1.0a1.1', '47.2.1.0a1.1', '47.1.2.1a1.2', '47.2.1.0a1.1', '47.4.1.0a1.1'], 'minimal_sibling': [1, 0, -3, 0, 3, 0, -1, 0, 1, 0, -1, 0, 1], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [2, 31, 47], 'rd': 8.65948468434, 'regulator': {'__RealLiteral__': 0, 'data': '3.63511170932', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['-1.1.0.1', '-1.0.1.0.0.0.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  7. label: 12.2.204800642687.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -3, 5, -3, -4, 12, -15, 12, -4, -3, 5, -3, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 204800642687, 'disc_rad': 2170349, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [23040, 23040, 23040], 'galois_label': '12T293', 'galt': 293, 'grd': 1473.2104398218198, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.204800642687.1', 'local_algs': ['23.2.1.0a1.1', '23.1.2.1a1.2', '23.4.1.0a1.1', '23.4.1.0a1.1', '197.1.2.1a1.2', '197.1.2.1a1.2', '197.4.1.0a1.1', '197.4.1.0a1.1', 'm479.2.1.1', 'm479.2.1.1', 'm479.1.8.0'], 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [23, 197, 479], 'rd': 8.76215523154, 'regulator': {'__RealLiteral__': 0, 'data': '3.96195936431', 'prec': 44}, 'subfield_mults': [1], 'subfields': ['1.3.0.-2.-2.0.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  8. label: 12.2.205567038859.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 2, -4, 4, -8, 4, -5, 4, 1, 0, 2, -1, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 205567038859, 'disc_rad': 19201, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [1024, 768, 768], 'galois_label': '12T222', 'galt': 222, 'grd': 191.65122394707694, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.205567038859.1', 'local_algs': ['7.4.3.8a1.3', '13.2.1.0a1.1', '13.2.1.0a1.1', '13.2.1.0a1.1', '13.2.1.0a1.1', '13.2.2.2a1.2', 'm211.1.2.0', 'm211.1.2.0', 'm211.1.2.0', 'm211.1.2.0', 'm211.1.2.0', 'm211.2.1.1'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [7, 13, 211], 'rd': 8.7648830029, 'regulator': {'__RealLiteral__': 0, 'data': '3.97256263188', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['1.-2.-1.1', '1.-2.2.-3.2.-2.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  9. label: 12.2.206487484375.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 3, -8, 13, -17, 16, -13, 8, -3, 1, 2, -1, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 206487484375, 'disc_rad': 161555, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [2304, 2304, 2304], 'galois_label': '12T260', 'galt': 260, 'grd': 401.9390501058587, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.206487484375.1', 'local_algs': ['5.2.2.2a1.2', '5.4.2.4a1.2', '79.1.1.0a1.1', '79.1.1.0a1.1', '79.1.2.1a1.2', '79.2.1.0a1.1', '79.2.1.0a1.1', '79.4.1.0a1.1', 'm409.1.1.0', 'm409.1.1.0', 'm409.2.2.2', 'm409.1.6.0'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [5, 79, 409], 'rd': 8.76814677513, 'regulator': {'__RealLiteral__': 0, 'data': '3.98211224603', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['-1.-1.1', '-1.3.-2.0.2.-2.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  10. label: 12.2.208976546875.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 5, -12, 19, -22, 18, -9, 1, 4, -5, 4, -2, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 208976546875, 'disc_rad': 79705, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [2304, 2304, 2304], 'galois_label': '12T260', 'galt': 260, 'grd': 282.32073958531635, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.208976546875.1', 'local_algs': ['5.3.2.3a1.2', '5.3.2.3a1.2', '19.1.2.1a1.2', '19.2.1.0a1.1', '19.4.1.0a1.1', '19.4.1.0a1.1', 'm839.1.1.0', 'm839.1.1.0', 'm839.2.1.1', 'm839.2.1.1', 'm839.1.6.0'], 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [5, 19, 839], 'rd': 8.7769063085, 'regulator': {'__RealLiteral__': 0, 'data': '4.01927343849', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['-1.-1.1', '-1.1.2.1.-1.-2.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  11. label: 12.2.225117671875.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 0, 0, -2, -2, 0, 3, 3, -1, -1, -1, 0, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 225117671875, 'disc_rad': 72037655, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [518400, 518400, 518400], 'galois_label': '12T299', 'galt': 299, 'grd': 8487.499926362298, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.225117671875.1', 'local_algs': ['5.6.2.6a1.2', '179.1.1.0a1.1', '179.1.1.0a1.1', '179.2.1.0a1.1', '179.1.2.1a1.1', '179.2.1.0a1.1', '179.4.1.0a1.1', 'm80489.1.1.0', 'm80489.1.1.0', 'm80489.1.2.0', 'm80489.2.1.1', 'm80489.1.6.0'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [5, 179, 80489], 'rd': 8.83149306815, 'regulator': {'__RealLiteral__': 0, 'data': '4.20942666663', 'prec': 44}, 'subfield_mults': [1], 'subfields': ['-1.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  12. label: 12.2.233544944483.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 1, -1, 1, 3, -7, 6, 3, -9, 5, 2, -3, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 233544944483, 'disc_rad': 19194949, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [41472, 41472, 41472], 'galois_label': '12T294', 'galt': 294, 'grd': 4381.204058247002, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.233544944483.1', 'local_algs': ['23.1.2.1a1.1', '23.4.1.0a1.1', '23.3.2.3a1.2', '101.1.1.0a1.1', '101.1.1.0a1.1', '101.1.2.1a1.2', '101.2.1.0a1.1', '101.2.1.0a1.1', '101.4.1.0a1.1', 'm8263.1.1.0', 'm8263.1.1.0', 'm8263.1.1.0', 'm8263.1.1.0', 'm8263.1.1.0', 'm8263.1.2.0', 'm8263.2.1.1', 'm8263.1.3.0'], 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [23, 101, 8263], 'rd': 8.8585819242, 'regulator': {'__RealLiteral__': 0, 'data': '4.29199444222', 'prec': 44}, 'subfield_mults': [1], 'subfields': ['1.0.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  13. label: 12.2.238362687139.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -3, 4, -2, -3, 7, -8, 3, 1, -4, 4, -2, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 238362687139, 'disc_rad': 19590917, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [41472, 41472, 41472], 'galois_label': '12T294', 'galt': 294, 'grd': 4426.162785076934, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.238362687139.1', 'local_algs': ['23.2.1.0a1.1', '23.2.1.0a1.1', '23.1.2.1a1.1', '23.3.2.3a1.2', 'm317.1.1.0', 'm317.1.1.0', 'm317.1.1.0', 'm317.1.1.0', 'm317.2.1.1', 'm317.1.3.0', 'm317.1.3.0', 'm2687.1.1.0', 'm2687.1.1.0', 'm2687.1.2.0', 'm2687.2.1.1', 'm2687.1.6.0'], 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [23, 317, 2687], 'rd': 8.87366827443, 'regulator': {'__RealLiteral__': 0, 'data': '4.36197960563', 'prec': 44}, 'subfield_mults': [1], 'subfields': ['1.0.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  14. label: 12.2.239557046875.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -1, 0, 1, 1, 0, -2, 2, 0, -1, -1, 0, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 239557046875, 'disc_rad': 76658255, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [518400, 518400, 518400], 'galois_label': '12T299', 'galt': 299, 'grd': 8755.470004517176, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.239557046875.1', 'local_algs': ['5.6.2.6a1.2', '19.2.1.0a1.1', '19.1.2.1a1.1', '19.4.1.0a1.1', '19.4.1.0a1.1', 'm806929.1.1.0', 'm806929.1.2.0', 'm806929.2.1.1', 'm806929.1.3.0', 'm806929.1.4.0'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [5, 19, 806929], 'rd': 8.87736505338, 'regulator': {'__RealLiteral__': 0, 'data': '4.3666138828', 'prec': 40}, 'subfield_mults': [1], 'subfields': ['-1.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  15. label: 12.2.247087671875.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -1, 0, -3, 0, 1, 3, 1, 0, -3, 0, -1, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 247087671875, 'disc_rad': 5995, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [144, 144, 144], 'galois_label': '12T125', 'galt': 125, 'grd': 77.42738533619743, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.247087671875.1', 'local_algs': ['5.6.2.6a1.2', '11.2.1.0a1.1', '11.2.1.0a1.1', '11.1.2.1a1.2', '11.2.1.0a1.1', '11.2.2.2a1.2', '109.1.1.0a1.1', '109.1.1.0a1.1', '109.2.1.0a1.1', '109.2.1.0a1.1', '109.2.1.0a1.1', '109.1.2.1a1.1', '109.1.2.1a1.1'], 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [5, 11, 109], 'rd': 8.9002920261, 'regulator': {'__RealLiteral__': 0, 'data': '4.50528335209', 'prec': 44}, 'subfield_mults': [1, 1, 1], 'subfields': ['-1.-1.1', '-1.2.0.-1.1', '1.3.1.-2.-3.0.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  16. label: 12.2.255609008128.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 4, -11, 22, -28, 18, -2, -8, 7, -4, 3, -2, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 255609008128, 'disc_rad': 10258, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [2304, 768, 768], 'galois_label': '12T227', 'galt': 227, 'grd': 202.56357026869367, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '12.2.255609008128.1', 'local_algs': ['2.6.2.12a9.1', '23.1.1.0a1.1', '23.1.1.0a1.1', '23.2.1.0a1.1', '23.2.2.2a1.2', '23.2.2.2a1.2', 'm223.1.1.0', 'm223.1.1.0', 'm223.1.1.0', 'm223.1.1.0', 'm223.1.1.0', 'm223.1.1.0', 'm223.1.2.0', 'm223.1.2.0', 'm223.2.1.1'], 'minimal_sibling': [1, 0, -4, 0, 4, 0, 1, 0, 2, 0, 3, 0, 1], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [2, 23, 223], 'rd': 8.92547517214, 'regulator': {'__RealLiteral__': 0, 'data': '4.5370381911', 'prec': 40}, 'subfield_mults': [1, 1], 'subfields': ['1.0.-1.1', '-1.0.0.0.1.0.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  17. label: 12.2.257978421875.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -5, 12, -19, 20, -16, 10, -5, 0, 2, 0, -2, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 257978421875, 'disc_rad': 6785, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [384, 384, 384], 'galois_label': '12T193', 'galt': 193, 'grd': 82.37111144084436, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '12.2.257978421875.1', 'local_algs': ['5.2.2.2a1.2', '5.4.2.4a1.2', '23.4.1.0a1.1', '23.4.2.4a1.2', '59.1.1.0a1.1', '59.1.1.0a1.1', '59.1.1.0a1.1', '59.1.1.0a1.1', '59.2.1.0a1.1', '59.2.1.0a1.1', '59.2.1.0a1.1', '59.1.2.1a1.2'], 'minimal_sibling': [1, 1, 0, 1, -2, -5, 3, 5, -2, -1, 0, -1, 1], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [5, 23, 59], 'rd': 8.93234074331, 'regulator': {'__RealLiteral__': 0, 'data': '4.57996864178', 'prec': 44}, 'subfield_mults': [1, 1, 1], 'subfields': ['-1.-1.1', '1.0.-1.1', '-1.0.3.4.-1.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  18. label: 12.2.266846228071.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -1, 2, -3, 3, -4, 3, -4, 3, -3, 2, -1, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 266846228071, 'disc_rad': 2876149, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [23040, 23040], 'galois_label': '12T293', 'galt': 293, 'grd': 1695.9212835506253, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.266846228071.1', 'local_algs': ['31.1.2.1a1.2', '31.10.1.0a1.1', 'm92779.1.2.0', 'm92779.2.1.1', 'm92779.2.1.1', 'm92779.1.3.0', 'm92779.1.3.0'], 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 5, 'ramps': [31, 92779], 'rd': 8.95753311463, 'regulator': {'__RealLiteral__': 0, 'data': '4.68688998752', 'prec': 44}, 'subfield_mults': [1], 'subfields': ['1.-2.-1.3.-2.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  19. label: 12.2.273636802651.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, -3, 1, -5, 9, -6, 15, -6, 12, -4, 5, -1, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 273636802651, 'disc_rad': 3416659, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [15552, 15552], 'galois_label': '12T289', 'galt': 289, 'grd': 1848.420677226913, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.273636802651.1', 'local_algs': ['m283.1.1.0', 'm283.1.1.0', 'm283.1.1.0', 'm283.1.1.0', 'm283.1.2.0', 'm283.2.1.1', 'm283.2.2.2', 'm12073.1.1.0', 'm12073.1.1.0', 'm12073.1.2.0', 'm12073.1.2.0', 'm12073.2.1.1', 'm12073.1.4.0'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 5, 'ramps': [283, 12073], 'rd': 8.97631068037, 'regulator': {'__RealLiteral__': 0, 'data': '4.7852559363', 'prec': 40}, 'subfield_mults': [1], 'subfields': ['-1.-1.0.0.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  20. label: 12.2.279198105664.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 0, 3, 0, 1, 0, -7, 0, 9, 0, -5, 0, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 279198105664, 'disc_rad': 514, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [2688, 768], 'galois_label': '12T227', 'galt': 227, 'grd': 53.92238017965345, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '12.2.279198105664.1', 'local_algs': ['2.3.2.6a2.1', '2.6.1.0a1.1', 'm257.1.2.0', 'm257.1.2.0', 'm257.2.2.2', 'm257.2.2.2'], 'minimal_sibling': [1, 0, 4, -8, -1, 20, -29, 14, 10, -20, 15, -6, 1], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 5, 'ramps': [2, 257], 'rd': 8.99137350807, 'regulator': {'__RealLiteral__': 0, 'data': '4.94368204571', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['3.-4.-1.1', '1.-1.-1.1.-1.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  21. label: 12.2.288323843827.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 0, 4, 1, -7, 1, 10, -7, -6, 8, 0, -3, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 288323843827, 'disc_rad': 3600043, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [15552, 15552], 'galois_label': '12T289', 'galt': 289, 'grd': 1897.3779275621396, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.288323843827.1', 'local_algs': ['m283.1.1.0', 'm283.1.1.0', 'm283.1.2.0', 'm283.1.2.0', 'm283.2.1.1', 'm283.2.1.1', 'm283.2.1.1', 'm12721.1.1.0', 'm12721.1.1.0', 'm12721.1.1.0', 'm12721.1.1.0', 'm12721.1.2.0', 'm12721.1.2.0', 'm12721.1.2.0', 'm12721.2.1.1'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 5, 'ramps': [283, 12721], 'rd': 9.01550475138, 'regulator': {'__RealLiteral__': 0, 'data': '4.93877212902', 'prec': 44}, 'subfield_mults': [1], 'subfields': ['-1.-1.0.0.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  22. label: 12.2.293890894259.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, 1, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 293890894259, 'disc_rad': 293890894259, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [239500800, 239500800], 'galois_label': '12T301', 'galt': 301, 'grd': 542117.0484858413, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.293890894259.1', 'local_algs': ['103.1.2.1a1.2', '103.2.1.0a1.1', '103.8.1.0a1.1', 'm2853309653.2.1.1', 'm2853309653.1.3.0', 'm2853309653.1.7.0'], 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 5, 'ramps': [103, 2853309653], 'rd': 9.02988412951, 'regulator': {'__RealLiteral__': 0, 'data': '4.93923668618', 'prec': 44}, 'subfield_mults': [], 'subfields': [], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  23. label: 12.2.299095170283.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, 0, -2, -2, 2, -2, -4, 6, -2, -1, 4, -2, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 299095170283, 'disc_rad': 27937, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [1024, 768, 768], 'galois_label': '12T222', 'galt': 222, 'grd': 231.1743031850907, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.299095170283.1', 'local_algs': ['7.2.3.4a1.2', '7.2.3.4a1.2', '13.2.1.0a1.1', '13.2.1.0a1.1', '13.2.2.2a1.2', '13.4.1.0a1.1', 'm307.1.1.0', 'm307.1.1.0', 'm307.1.2.0', 'm307.1.2.0', 'm307.2.1.1', 'm307.1.4.0'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [7, 13, 307], 'rd': 9.04310242902, 'regulator': {'__RealLiteral__': 0, 'data': '4.96264024524', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['1.-2.-1.1', '1.-2.2.-3.2.-2.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  24. label: 12.2.307980921875.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 2, -3, 2, 5, -12, 13, -12, 12, -7, 3, -2, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 307980921875, 'disc_rad': 814495, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [5184, 5184, 5184, 5184], 'galois_label': '12T274', 'galt': 274, 'grd': 902.4937672914976, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.307980921875.1', 'local_algs': ['5.2.2.2a1.2', '5.4.2.4a1.2', '11.1.2.1a1.2', '11.2.2.2a1.2', '11.6.1.0a1.1', '59.1.1.0a1.1', '59.1.1.0a1.1', '59.1.1.0a1.1', '59.1.1.0a1.1', '59.1.1.0a1.1', '59.1.2.1a1.1', '59.2.1.0a1.1', '59.3.1.0a1.1', 'm251.1.1.0', 'm251.1.1.0', 'm251.1.1.0', 'm251.1.1.0', 'm251.1.1.0', 'm251.1.1.0', 'm251.1.1.0', 'm251.2.1.1', 'm251.1.3.0'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 4, 'r2': 5, 'ramps': [5, 11, 59, 251], 'rd': 9.06519153456, 'regulator': {'__RealLiteral__': 0, 'data': '5.1470744096', 'prec': 40}, 'subfield_mults': [1, 1], 'subfields': ['-1.-1.1', '-1.2.0.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  25. label: 12.2.314972378176.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 0, -1, 0, 3, 0, 1, 0, -3, 0, -1, 0, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 314972378176, 'disc_rad': 4526, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [768, 384, 384], 'galois_label': '12T186', 'galt': 186, 'grd': 95.14199913813037, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.314972378176.1', 'local_algs': ['2.6.1.0a1.1', '2.3.2.6a1.2', '31.1.2.1a1.1', '31.1.2.1a1.1', '31.4.1.0a1.1', '31.2.2.2a1.2', '73.1.2.1a1.1', '73.2.1.0a1.1', '73.2.1.0a1.1', '73.2.1.0a1.1', '73.2.1.0a1.1', '73.1.2.1a1.1'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [2, 31, 73], 'rd': 9.08216468198, 'regulator': {'__RealLiteral__': 0, 'data': '5.32083463663', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['-1.1.0.1', '-1.-1.3.-5.5.-3.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  26. label: 12.2.327779546875.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 1, 1, -1, 1, 0, 0, 1, 1, -3, 2, -2, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 327779546875, 'disc_rad': 866855, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [5184, 5184, 5184], 'galois_label': '12T274', 'galt': 274, 'grd': 931.0504819825829, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.327779546875.1', 'local_algs': ['5.6.2.6a1.2', '11.2.1.0a1.1', '11.2.1.0a1.1', '11.2.1.0a1.1', '11.3.2.3a1.1', 'm15761.1.1.0', 'm15761.1.1.0', 'm15761.1.1.0', 'm15761.1.1.0', 'm15761.1.1.0', 'm15761.1.1.0', 'm15761.1.1.0', 'm15761.1.1.0', 'm15761.1.2.0', 'm15761.2.1.1'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [5, 11, 15761], 'rd': 9.11237997258, 'regulator': {'__RealLiteral__': 0, 'data': '5.41339781061', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['-1.-1.1', '-1.2.0.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  27. label: 12.2.336393921875.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -1, -1, -1, 3, -1, -1, -1, 3, -1, -1, -1, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 336393921875, 'disc_rad': 76945, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [2304, 2304, 2304], 'galois_label': '12T260', 'galt': 260, 'grd': 277.3896176860266, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.336393921875.1', 'local_algs': ['5.6.2.6a1.2', '11.2.1.0a1.1', '11.1.2.1a1.1', '11.2.1.0a1.1', '11.2.1.0a1.1', '11.4.1.0a1.1', 'm1399.1.1.0', 'm1399.1.1.0', 'm1399.2.1.1', 'm1399.2.1.1', 'm1399.1.6.0'], 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [5, 11, 1399], 'rd': 9.13210041657, 'regulator': {'__RealLiteral__': 0, 'data': '5.43541349035', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['-1.-1.1', '-1.-3.1.4.-2.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  28. label: 12.2.341962230519.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -7, 21, -39, 52, -56, 52, -43, 31, -20, 10, -4, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 341962230519, 'disc_rad': 273, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [192, 256, 288], 'galois_label': '12T141', 'galt': 141, 'grd': 43.39271609609281, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.341962230519.1', 'local_algs': ['3.3.2.3a1.1', '3.6.1.0a1.1', '7.4.3.8a1.3', '13.2.1.0a1.1', '13.2.1.0a1.1', '13.1.4.3a1.4', '13.4.1.0a1.1'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [3, 7, 13], 'rd': 9.14460277171, 'regulator': {'__RealLiteral__': 0, 'data': '5.44076103214', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['1.-2.-1.1', '1.-2.2.-3.2.-2.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  29. label: 12.2.349257427087.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, -2, 5, -9, 14, -18, 18, -12, 9, -10, 8, -4, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 349257427087, 'disc_rad': 29083, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [768, 768], 'galois_label': '12T227', 'galt': 227, 'grd': 170.53738593047566, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '12.2.349257427087.1', 'local_algs': ['127.1.1.0a1.1', '127.1.1.0a1.1', '127.1.2.1a1.2', '127.2.1.0a1.1', '127.2.1.0a1.1', '127.4.1.0a1.1', 'm229.1.1.0', 'm229.1.1.0', 'm229.1.2.0', 'm229.2.4.4'], 'minimal_sibling': [1, -6, 11, 0, -29, 50, -42, 17, 2, -7, 6, -3, 1], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 5, 'ramps': [127, 229], 'rd': 9.16070302373, 'regulator': {'__RealLiteral__': 0, 'data': '5.49728358002', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['-1.-4.0.1', '1.0.-1.-1.-1.0.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  30. label: 12.2.353996898304.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -4, 4, 0, -2, 2, -4, 4, 0, 0, 1, -2, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 353996898304, 'disc_rad': 55118, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [15552, 5184, 5184, 5184], 'galois_label': '12T274', 'galt': 274, 'grd': 469.54446008871196, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.353996898304.1', 'local_algs': ['2.6.2.18a1.17', '7.2.1.0a1.1', '7.4.1.0a1.1', '7.3.2.3a1.1', '31.1.1.0a1.1', '31.1.1.0a1.1', '31.2.1.0a1.1', '31.1.2.1a1.1', '31.2.1.0a1.1', '31.4.1.0a1.1', '127.1.1.0a1.1', '127.1.1.0a1.1', '127.1.1.0a1.1', '127.1.1.0a1.1', '127.1.1.0a1.1', '127.1.2.1a1.1', '127.2.1.0a1.1', '127.3.1.0a1.1'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 4, 'r2': 5, 'ramps': [2, 7, 31, 127], 'rd': 9.170998478582437, 'regulator': {'__RealLiteral__': 0, 'data': '5.5369431385384855', 'prec': 60}, 'subfield_mults': [1, 1], 'subfields': ['-2.0.1', '1.-2.1.-2.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  31. label: 12.2.362031460339.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -1, -1, 1, -2, 2, 1, -1, 0, 0, 0, 0, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 362031460339, 'disc_rad': 362031460339, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [239500800], 'galois_label': '12T301', 'galt': 301, 'grd': 601690.5021179909, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.362031460339.1', 'local_algs': ['m362031460339.1.1.0', 'm362031460339.1.1.0', 'm362031460339.1.2.0', 'm362031460339.2.1.1', 'm362031460339.1.6.0'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 1, 'r2': 5, 'ramps': [362031460339], 'rd': 9.18816656011, 'regulator': {'__RealLiteral__': 0, 'data': '5.64279808125', 'prec': 44}, 'subfield_mults': [], 'subfields': [], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  32. label: 12.2.373065296875.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 1, 3, -6, -5, 11, 3, -12, 0, 8, -2, -2, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 373065296875, 'disc_rad': 5605, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [144, 144, 144], 'galois_label': '12T125', 'galt': 125, 'grd': 74.86654793697917, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.373065296875.1', 'local_algs': ['5.3.2.3a1.2', '5.3.2.3a1.2', '19.1.1.0a1.1', '19.1.1.0a1.1', '19.1.2.1a1.1', '19.2.1.0a1.1', '19.2.1.0a1.1', '19.2.2.2a1.2', '59.2.1.0a1.1', '59.3.1.0a1.1', '59.3.1.0a1.1', '59.2.2.2a1.2'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [5, 19, 59], 'rd': 9.21118286768, 'regulator': {'__RealLiteral__': 0, 'data': '5.72023263089', 'prec': 44}, 'subfield_mults': [1, 1, 1], 'subfields': ['-1.-1.1', '-1.-1.2.-2.1', '-1.-1.2.-3.3.-2.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  33. label: 12.2.396228830787.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -1, -3, 1, 3, 0, -1, -3, 0, 4, -1, -2, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 396228830787, 'disc_rad': 15801, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [384, 384, 384], 'galois_label': '12T186', 'galt': 186, 'grd': 125.70202862324857, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.396228830787.1', 'local_algs': ['3.3.2.3a1.1', '3.6.1.0a1.1', '23.4.1.0a1.1', '23.4.2.4a1.2', 'm229.1.4.0', 'm229.1.4.0', 'm229.2.2.2'], 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [3, 23, 229], 'rd': 9.25753805701, 'regulator': {'__RealLiteral__': 0, 'data': '6.09548763154', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['1.0.-1.1', '-1.-7.6.5.-3.-2.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  34. label: 12.2.398786546875.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 1, -1, 4, -4, -1, 7, -7, 4, -3, 4, -3, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 398786546875, 'disc_rad': 5795, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [144, 144, 144], 'galois_label': '12T125', 'galt': 125, 'grd': 76.12489737267302, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.398786546875.1', 'local_algs': ['5.3.2.3a1.2', '5.3.2.3a1.2', '19.1.2.1a1.1', '19.1.2.1a1.1', '19.1.2.1a1.1', '19.3.1.0a1.1', '19.3.1.0a1.1', '61.2.1.0a1.1', '61.2.1.0a1.1', '61.2.1.0a1.1', '61.2.1.0a1.1', '61.2.2.2a1.2'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [5, 19, 61], 'rd': 9.26250328277, 'regulator': {'__RealLiteral__': 0, 'data': '5.94217649784', 'prec': 44}, 'subfield_mults': [1, 1, 1], 'subfields': ['-1.-1.1', '-1.-1.2.-2.1', '1.-3.-2.5.-1.-2.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  35. label: 12.2.417344000000.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, 0, 1, -6, 5, 0, 4, -4, 1, -2, 2, -2, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 417344000000, 'disc_rad': 65210, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [15552, 5184, 5184], 'galois_label': '12T274', 'galt': 274, 'grd': 510.7249749131131, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.417344000000.1', 'local_algs': ['2.6.2.12a5.2', '5.6.2.6a1.2', 'm6521.1.1.0', 'm6521.1.1.0', 'm6521.1.1.0', 'm6521.1.1.0', 'm6521.1.2.0', 'm6521.1.2.0', 'm6521.1.2.0', 'm6521.2.1.1'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [2, 5, 6521], 'rd': 9.297678278879234, 'regulator': {'__RealLiteral__': 0, 'data': '6.215565115061368', 'prec': 57}, 'subfield_mults': [1, 1], 'subfields': ['-1.-1.1', '-1.0.-1.0.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  36. label: 12.2.419159399791.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, 0, -2, 2, 1, -1, 1, -1, -2, 3, 0, -2, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 419159399791, 'disc_rad': 341, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [24, 24], 'galois_label': '12T22', 'galt': 22, 'grd': 18.466185312619388, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '12.2.419159399791.1', 'local_algs': ['11.4.1.0a1.1', '11.4.2.4a1.2', '31.2.1.0a1.1', '31.1.2.1a1.2', '31.2.2.2a1.2', '31.2.2.2a1.2'], 'minimal_sibling': [1, -1, 0, 2, -1, -1, 1], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 5, 'ramps': [11, 31], 'rd': 9.30104189993, 'regulator': {'__RealLiteral__': 0, 'data': '6.24841548478', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['-1.1.0.1', '-1.2.-7.6.0.-2.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  37. label: 12.2.438976000000.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -1, 2, 0, -3, 6, -9, 6, -3, 0, 2, -1, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 438976000000, 'disc_rad': 190, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [576, 144, 144], 'galois_label': '12T125', 'galt': 125, 'grd': 38.98717737923585, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.438976000000.1', 'local_algs': ['2.4.1.0a1.1', '2.4.2.12a1.7', '5.3.2.3a1.2', '5.3.2.3a1.2', '19.1.2.1a1.1', '19.3.1.0a1.1', '19.3.1.0a1.1', '19.2.2.2a1.2'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [2, 5, 19], 'rd': 9.33691484757, 'regulator': {'__RealLiteral__': 0, 'data': '6.34204903952', 'prec': 44}, 'subfield_mults': [1, 1, 1], 'subfields': ['-1.-1.1', '-1.-1.2.-2.1', '-1.1.4.-5.2.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  38. label: 12.2.447330484375.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 4, -9, 9, 2, -4, -2, -3, 8, -3, 1, -2, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 447330484375, 'disc_rad': 155, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [12, 12], 'galois_label': '12T13', 'galt': 13, 'grd': 12.449899597988733, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.447330484375.1', 'local_algs': ['5.6.2.6a1.2', '31.2.1.0a1.1', '31.1.2.1a1.2', '31.2.2.2a1.2', '31.2.2.2a1.2'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 5, 'ramps': [5, 31], 'rd': 9.35159538434, 'regulator': {'__RealLiteral__': 0, 'data': '6.55949888698', 'prec': 44}, 'subfield_mults': [1, 1, 1, 1], 'subfields': ['-1.-1.1', '-1.1.0.1', '-1.-3.0.-1.1', '-1.-1.1.-4.3.0.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  39. label: 12.2.451992187175.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -1, 4, 1, -1, 12, -9, 12, -1, 1, 4, -1, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 451992187175, 'disc_rad': 6095, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [768, 1152, 768], 'galois_label': '12T223', 'galt': 223, 'grd': 170.96956786104076, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.451992187175.1', 'local_algs': ['5.2.2.2a1.1', '5.4.1.0a1.1', '5.4.1.0a1.1', '23.1.2.1a1.1', '23.1.2.1a1.1', '23.4.1.0a1.1', '23.1.4.3a1.1', '53.2.1.0a1.1', '53.2.1.0a1.1', '53.2.2.2a1.2', '53.4.1.0a1.1'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [5, 23, 53], 'rd': 9.35967805722, 'regulator': {'__RealLiteral__': 0, 'data': '6.4136566416', 'prec': 40}, 'subfield_mults': [1, 1], 'subfields': ['1.0.-1.1', '-1.-2.0.3.0.-2.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  40. label: 12.2.458342033107.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 1, -2, -1, 8, -10, 4, 3, -6, 3, 2, -3, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 458342033107, 'disc_rad': 301, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [128, 96], 'galois_label': '12T104', 'galt': 104, 'grd': 23.99567223510292, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.458342033107.1', 'local_algs': ['7.4.3.8a1.3', '43.2.1.0a1.1', '43.1.2.1a1.1', '43.2.1.0a1.1', '43.2.1.0a1.1', '43.1.2.1a1.2', '43.1.2.1a1.1'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 5, 'ramps': [7, 43], 'rd': 9.37056564065, 'regulator': {'__RealLiteral__': 0, 'data': '6.54549766683', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['1.-2.-1.1', '-1.3.2.-2.-1.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  41. label: 12.2.458342033107.2
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -4, 6, -4, 1, -3, 5, -3, 1, -4, 6, -4, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 458342033107, 'disc_rad': 301, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [128, 96], 'galois_label': '12T104', 'galt': 104, 'grd': 23.99567223510292, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 2, 'label': '12.2.458342033107.2', 'local_algs': ['7.4.3.8a1.3', '43.1.1.0a1.1', '43.1.1.0a1.1', '43.2.1.0a1.1', '43.1.2.1a1.1', '43.2.1.0a1.1', '43.2.2.2a1.2'], 'minimal_sibling': [-1, 1, -2, -1, 8, -10, 4, 3, -6, 3, 2, -3, 1], 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 5, 'ramps': [7, 43], 'rd': 9.37056564065, 'regulator': {'__RealLiteral__': 0, 'data': '6.54549766683', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['1.-2.-1.1', '-1.3.2.-2.-1.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  42. label: 12.2.530569362483.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 1, 5, -11, 10, -6, 4, -7, 6, -3, 1, -1, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 530569362483, 'disc_rad': 14433, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [1944, 2592, 1944], 'galois_label': '12T258', 'galt': 258, 'grd': 192.64295262991146, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.530569362483.1', 'local_algs': ['3.4.1.0a1.1', '3.4.2.4a1.2', '17.1.1.0a1.1', '17.2.1.0a1.1', '17.1.3.2a1.1', '17.6.1.0a1.1', 'm283.1.1.0', 'm283.1.1.0', 'm283.1.1.0', 'm283.1.3.0', 'm283.2.3.3'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [3, 17, 283], 'rd': 9.48553536042, 'regulator': {'__RealLiteral__': 0, 'data': '7.20273603042', 'prec': 44}, 'subfield_mults': [1], 'subfields': ['-1.-1.0.0.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  43. label: 12.2.533806460928.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 1, 0, -2, 8, -17, 27, -32, 31, -23, 13, -5, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 533806460928, 'disc_rad': 78, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [72, 24, 24], 'galois_label': '12T28', 'galt': 28, 'grd': 17.663521732655695, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.533806460928.1', 'local_algs': ['2.4.1.0a1.1', '2.4.2.12a1.1', '3.6.1.0a1.1', '3.3.2.3a1.1', '13.2.2.2a1.2', '13.2.2.2a1.2', '13.2.2.2a1.2'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [2, 3, 13], 'rd': 9.49034467201, 'regulator': {'__RealLiteral__': 0, 'data': '7.11195238102', 'prec': 44}, 'subfield_mults': [1, 1, 1, 1], 'subfields': ['-3.-1.1', '-2.-1.0.1', '1.-1.-1.-1.1', '-1.-1.-2.1.2.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  44. label: 12.2.562523516779.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -1, -2, 6, -5, -3, 11, -6, -5, 7, -1, -2, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 562523516779, 'disc_rad': 683053, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [27648, 20736], 'galois_label': '12T292', 'galt': 292, 'grd': 1143.0806547161178, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.562523516779.1', 'local_algs': ['7.1.3.2a1.1', '7.3.3.6a1.3', 'm97579.1.1.0', 'm97579.1.1.0', 'm97579.1.1.0', 'm97579.1.1.0', 'm97579.1.2.0', 'm97579.2.1.1', 'm97579.1.4.0'], 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 5, 'ramps': [7, 97579], 'rd': 9.53187613796, 'regulator': {'__RealLiteral__': 0, 'data': '7.7037339724', 'prec': 40}, 'subfield_mults': [1], 'subfields': ['1.-2.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  45. label: 12.2.566636000000.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -3, -1, 7, 1, -8, -5, 4, 7, -1, -4, 0, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 566636000000, 'disc_rad': 4130, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [512, 384, 384, 384], 'galois_label': '12T193', 'galt': 193, 'grd': 72.13510890035327, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '12.2.566636000000.1', 'local_algs': ['2.4.3.8a1.2', '5.2.2.2a1.2', '5.4.2.4a1.2', '7.2.1.0a1.1', '7.2.1.0a1.1', '7.4.2.4a1.2', '59.1.2.1a1.2', '59.2.1.0a1.1', '59.4.1.0a1.1', '59.4.1.0a1.1'], 'minimal_sibling': [1, -5, 10, -10, 9, -16, 23, -16, 9, -10, 10, -5, 1], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 4, 'r2': 5, 'ramps': [2, 5, 7, 59], 'rd': 9.53766388736, 'regulator': {'__RealLiteral__': 0, 'data': '7.30104222822', 'prec': 44}, 'subfield_mults': [1, 1, 1], 'subfields': ['-1.-1.1', '-2.2.0.1', '1.-1.-2.5.-2.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  46. label: 12.2.620200350784.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 0, -1, 0, 1, 0, 5, 0, 5, 0, 3, 0, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 620200350784, 'disc_rad': 574, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [2688, 1024, 768], 'galois_label': '12T222', 'galt': 222, 'grd': 78.8121389064205, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.620200350784.1', 'local_algs': ['2.3.2.6a2.1', '2.6.1.0a1.1', '7.4.3.8a1.3', '41.1.1.0a1.1', '41.1.1.0a1.1', '41.2.1.0a1.1', '41.1.2.1a1.2', '41.1.2.1a1.2', '41.4.1.0a1.1'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [2, 7, 41], 'rd': 9.609725905426268, 'regulator': {'__RealLiteral__': 0, 'data': '8.168059297232562', 'prec': 57}, 'subfield_mults': [1, 1], 'subfields': ['1.-2.-1.1', '-1.1.1.-5.5.-3.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  47. label: 12.2.644204000000.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 4, -2, -3, -7, 8, -1, 4, -3, -1, 3, -3, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 644204000000, 'disc_rad': 110, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [16, 12, 12], 'galois_label': '12T13', 'galt': 13, 'grd': 11.772481280020624, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.644204000000.1', 'local_algs': ['2.4.3.8a1.2', '5.6.2.6a1.2', '11.2.1.0a1.1', '11.1.2.1a1.2', '11.2.2.2a1.2', '11.2.2.2a1.2'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [2, 5, 11], 'rd': 9.64018314536, 'regulator': {'__RealLiteral__': 0, 'data': '8.09867909721', 'prec': 44}, 'subfield_mults': [1, 1, 1, 1], 'subfields': ['-1.-1.1', '1.1.-1.1', '-1.2.0.-1.1', '-1.1.4.5.2.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  48. label: 12.2.644204000000.2
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -3, 2, 4, -7, 2, 3, 2, -7, 4, 2, -3, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 644204000000, 'disc_rad': 110, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [144, 72, 120], 'galois_label': '12T81', 'galt': 81, 'grd': 32.98695556602207, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 2, 'label': '12.2.644204000000.2', 'local_algs': ['2.4.1.0a1.1', '2.4.2.8a1.1', '5.6.2.6a1.2', '11.2.1.0a1.1', '11.2.1.0a1.1', '11.2.1.0a1.1', '11.1.6.5a1.2'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [2, 5, 11], 'rd': 9.64018314536, 'regulator': {'__RealLiteral__': 0, 'data': '8.15346214121', 'prec': 44}, 'subfield_mults': [1, 1, 1], 'subfields': ['-1.-1.1', '-1.2.0.-1.1', '1.-4.2.-4.2.-2.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  49. label: 12.2.659081523200.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 4, 0, 2, -1, 2, 11, -2, 6, -2, 5, -2, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 659081523200, 'disc_rad': 230, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [288, 96, 96], 'galois_label': '12T100', 'galt': 100, 'grd': 30.331501776206203, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.659081523200.1', 'local_algs': ['2.6.2.12a9.1', '5.4.1.0a1.1', '5.4.1.0a1.1', '5.2.2.2a1.1', '23.1.1.0a1.1', '23.1.1.0a1.1', '23.1.2.1a1.1', '23.2.2.2a1.2', '23.2.2.2a1.2'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [2, 5, 23], 'rd': 9.65854249046, 'regulator': {'__RealLiteral__': 0, 'data': '7.95702343355', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['1.0.-1.1', '-1.0.0.0.1.0.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  50. label: 12.2.688034764151.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -3, 9, -15, 21, -20, 17, -11, 7, -6, 1, -1, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 688034764151, 'disc_rad': 20377, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [1024, 768, 768], 'galois_label': '12T222', 'galt': 222, 'grd': 197.43302335565085, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.688034764151.1', 'local_algs': ['7.4.3.8a1.3', '41.2.1.0a1.1', '41.2.1.0a1.1', '41.2.2.2a1.2', '41.4.1.0a1.1', '71.1.1.0a1.1', '71.1.1.0a1.1', '71.2.1.0a1.1', '71.1.2.1a1.2', '71.2.1.0a1.1', '71.4.1.0a1.1'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [7, 41, 71], 'rd': 9.693207995244952, 'regulator': {'__RealLiteral__': 0, 'data': '8.554535079034393', 'prec': 57}, 'subfield_mults': [1, 1], 'subfields': ['1.-2.-1.1', '-1.1.1.-5.5.-3.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  51. label: 12.2.713607421387.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, 5, 9, 4, -9, -13, -1, 10, 6, -2, -4, 0, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 713607421387, 'disc_rad': 866509, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [27648, 20736], 'galois_label': '12T292', 'galt': 292, 'grd': 1287.4673146347911, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.713607421387.1', 'local_algs': ['7.1.3.2a1.1', '7.3.3.6a1.3', 'm123787.1.1.0', 'm123787.1.1.0', 'm123787.1.1.0', 'm123787.1.1.0', 'm123787.1.1.0', 'm123787.1.1.0', 'm123787.1.1.0', 'm123787.2.1.1', 'm123787.1.3.0'], 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 5, 'ramps': [7, 123787], 'rd': 9.72273121475, 'regulator': {'__RealLiteral__': 0, 'data': '8.88769174833', 'prec': 44}, 'subfield_mults': [1], 'subfields': ['1.-2.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  52. label: 12.2.738751981811.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 3, -4, -1, 8, -8, -2, 9, -6, -1, 4, -3, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 738751981811, 'disc_rad': 38789, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [7776, 7776], 'galois_label': '12T281', 'galt': 281, 'grd': 196.94923203709124, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.738751981811.1', 'local_algs': ['79.2.1.0a1.1', '79.2.1.0a1.1', '79.2.1.0a1.1', '79.2.1.0a1.1', '79.2.2.2a1.2', 'm491.2.1.1', 'm491.1.3.0', 'm491.1.3.0', 'm491.2.2.2'], 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 5, 'ramps': [79, 491], 'rd': 9.75082932818, 'regulator': {'__RealLiteral__': 0, 'data': '8.70585947161', 'prec': 44}, 'subfield_mults': [1], 'subfields': ['-1.3.-1.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  53. label: 12.2.740225059083.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -1, -3, -7, -5, 0, 6, 5, 2, -4, -2, -1, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 740225059083, 'disc_rad': 21597, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [384, 384, 384], 'galois_label': '12T186', 'galt': 186, 'grd': 146.9591780053223, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.740225059083.1', 'local_algs': ['3.3.1.0a1.1', '3.3.1.0a1.1', '3.3.2.3a1.2', '23.4.1.0a1.1', '23.4.2.4a1.2', 'm313.2.1.1', 'm313.2.1.1', 'm313.1.4.0', 'm313.1.4.0'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [3, 23, 313], 'rd': 9.752448118477346, 'regulator': {'__RealLiteral__': 0, 'data': '9.227667082224851', 'prec': 57}, 'subfield_mults': [1, 1], 'subfields': ['1.0.-1.1', '-7.1.9.-1.-3.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  54. label: 12.2.742534191307.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 5, -8, 2, 10, -8, -10, 21, -10, -6, 10, -5, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 742534191307, 'disc_rad': 51223, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [7776, 7776], 'galois_label': '12T281', 'galt': 281, 'grd': 226.3249875731798, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.742534191307.1', 'local_algs': ['181.2.1.0a1.1', '181.2.1.0a1.1', '181.4.1.0a1.1', '181.2.2.2a1.1', 'm283.2.1.1', 'm283.1.3.0', 'm283.1.3.0', 'm283.2.2.2'], 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 5, 'ramps': [181, 283], 'rd': 9.75497973121, 'regulator': {'__RealLiteral__': 0, 'data': '8.70536666', 'prec': 34}, 'subfield_mults': [1], 'subfields': ['-1.-1.0.0.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  55. label: 12.2.780912359375.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, -1, 2, 0, -1, -4, 5, -3, 6, -5, 2, -2, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 780912359375, 'disc_rad': 297845, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [2304, 2304, 2304], 'galois_label': '12T260', 'galt': 260, 'grd': 545.7517750772781, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.780912359375.1', 'local_algs': ['5.6.2.6a1.2', '71.1.1.0a1.1', '71.1.1.0a1.1', '71.2.1.0a1.1', '71.2.1.0a1.1', '71.2.1.0a1.1', '71.1.2.1a1.1', '71.2.1.0a1.1', 'm839.1.1.0', 'm839.1.1.0', 'm839.2.1.1', 'm839.2.1.1', 'm839.1.3.0', 'm839.1.3.0'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [5, 71, 839], 'rd': 9.79603191501, 'regulator': {'__RealLiteral__': 0, 'data': '8.68760154462', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['-1.-1.1', '-1.1.2.1.-1.-2.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  56. label: 12.2.782479234375.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, -1, 4, 4, -10, -1, 13, -7, -5, 7, -1, -2, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 782479234375, 'disc_rad': 6355, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [144, 144, 144], 'galois_label': '12T125', 'galt': 125, 'grd': 79.71825386948713, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.782479234375.1', 'local_algs': ['5.2.2.2a1.2', '5.2.2.2a1.2', '5.2.2.2a1.2', '31.1.2.1a1.2', '31.2.2.2a1.2', '31.6.1.0a1.1', '41.1.1.0a1.1', '41.1.1.0a1.1', '41.1.1.0a1.1', '41.1.1.0a1.1', '41.2.1.0a1.1', '41.1.2.1a1.2', '41.2.1.0a1.1', '41.1.2.1a1.2'], 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [5, 31, 41], 'rd': 9.797668361987727, 'regulator': {'__RealLiteral__': 0, 'data': '8.622084220138495', 'prec': 57}, 'subfield_mults': [1, 1, 1], 'subfields': ['-1.-1.1', '-1.-3.0.-1.1', '1.0.-5.-2.0.0.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  57. label: 12.2.803640236800.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -4, 4, -3, 1, 2, 3, -2, -1, -1, -1, -1, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 803640236800, 'disc_rad': 24790, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [2048, 1536, 1536, 1536], 'galois_label': '12T250', 'galt': 250, 'grd': 176.72985833439097, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.803640236800.1', 'local_algs': ['2.4.3.8a1.2', '5.2.2.2a1.2', '5.8.1.0a1.1', '37.1.2.1a1.1', '37.1.2.1a1.1', '37.1.2.1a1.1', '37.2.1.0a1.1', '37.1.2.1a1.1', '37.2.1.0a1.1', '67.1.1.0a1.1', '67.1.1.0a1.1', '67.2.1.0a1.1', '67.2.1.0a1.1', '67.1.2.1a1.2', '67.4.1.0a1.1'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 4, 'r2': 5, 'ramps': [2, 5, 37, 67], 'rd': 9.81947961182, 'regulator': {'__RealLiteral__': 0, 'data': '8.96333728062', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['1.-3.-1.1', '1.-1.0.-1.0.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  58. label: 12.2.838790656103.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -3, 5, -7, 6, -3, -2, 4, -4, 2, 1, -2, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 838790656103, 'disc_rad': 437, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [24, 24], 'galois_label': '12T22', 'galt': 22, 'grd': 20.904544960366874, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '12.2.838790656103.1', 'local_algs': ['19.4.1.0a1.1', '19.4.2.4a1.2', '23.2.1.0a1.1', '23.1.2.1a1.2', '23.2.2.2a1.2', '23.2.2.2a1.2'], 'minimal_sibling': [1, -2, 2, -2, 2, -1, 1], 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 5, 'ramps': [19, 23], 'rd': 9.85457272032, 'regulator': {'__RealLiteral__': 0, 'data': '9.60375711012', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['1.0.-1.1', '-1.-10.0.-2.3.-2.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  59. label: 12.2.868902484375.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -4, 9, -12, 9, -4, 1, -4, 9, -12, 9, -4, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 868902484375, 'disc_rad': 331405, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [2304, 2304, 2304], 'galois_label': '12T260', 'galt': 260, 'grd': 575.6778613078673, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.868902484375.1', 'local_algs': ['5.3.2.3a1.2', '5.3.2.3a1.2', '79.1.1.0a1.1', '79.1.1.0a1.1', '79.1.1.0a1.1', '79.1.1.0a1.1', '79.2.1.0a1.1', '79.1.2.1a1.2', '79.2.1.0a1.1', '79.2.1.0a1.1', 'm839.1.1.0', 'm839.1.1.0', 'm839.2.1.1', 'm839.2.1.1', 'm839.1.3.0', 'm839.1.3.0'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [5, 79, 839], 'rd': 9.88357934796, 'regulator': {'__RealLiteral__': 0, 'data': '9.72826881496', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['-1.-1.1', '-1.1.2.1.-1.-2.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  60. label: 12.2.884706715067.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -3, 4, -5, 2, -4, 7, -5, 4, -2, 2, -1, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 884706715067, 'disc_rad': 24983, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [1024, 768, 768], 'galois_label': '12T222', 'galt': 222, 'grd': 218.61097808482216, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.884706715067.1', 'local_algs': ['7.2.3.4a1.2', '7.2.3.4a1.2', '43.1.1.0a1.1', '43.1.1.0a1.1', '43.1.1.0a1.1', '43.1.1.0a1.1', '43.1.1.0a1.1', '43.1.1.0a1.1', '43.2.1.0a1.1', '43.2.2.2a1.2', '83.1.1.0a1.1', '83.1.1.0a1.1', '83.1.2.1a1.1', '83.4.1.0a1.1', '83.4.1.0a1.1'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [7, 43, 83], 'rd': 9.89843670384, 'regulator': {'__RealLiteral__': 0, 'data': '9.52200865587', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['1.-2.-1.1', '-1.3.2.-2.-1.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  61. label: 12.2.984184121123.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, 3, 0, 0, 6, -3, -1, 8, -4, 1, 3, -2, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 984184121123, 'disc_rad': 203, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [320, 288], 'galois_label': '12T141', 'galt': 141, 'grd': 63.24800991823296, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.984184121123.1', 'local_algs': ['7.2.3.4a1.2', '7.1.6.5a1.6', '29.2.1.0a1.1', '29.2.1.0a1.1', '29.1.4.3a1.2', '29.4.1.0a1.1'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 5, 'ramps': [7, 29], 'rd': 9.98672358391, 'regulator': {'__RealLiteral__': 0, 'data': '10.8120129246', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['1.-2.-1.1', '-1.3.-4.3.1.-2.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  62. label: 12.2.1008394404608.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -3, 4, 0, -11, 24, -29, 24, -11, 0, 4, -3, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 1008394404608, 'disc_rad': 166, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [48, 24], 'galois_label': '12T22', 'galt': 22, 'grd': 18.2208671582886, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '12.2.1008394404608.1', 'local_algs': ['2.4.1.0a1.1', '2.4.2.8a1.1', '83.1.1.0a1.1', '83.1.1.0a1.1', '83.1.2.1a1.1', '83.2.2.2a1.2', '83.2.2.2a1.2'], 'minimal_sibling': [1, -1, 0, 2, 0, -1, 1], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 5, 'ramps': [2, 83], 'rd': 10.0069685665, 'regulator': {'__RealLiteral__': 0, 'data': '10.1993004837', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['-2.1.-1.1', '-1.0.2.0.2.0.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  63. label: 12.2.1040220487744.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 2, 2, -7, 5, 8, -16, 11, -6, 3, 2, -3, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 1040220487744, 'disc_rad': 11086, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [20736, 10368, 13824], 'galois_label': '12T283', 'galt': 283, 'grd': 371.45420183662577, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.1040220487744.1', 'local_algs': ['2.3.2.6a1.2', '2.6.1.0a1.1', '23.4.1.0a1.1', '23.4.2.4a1.2', 'm241.1.1.0', 'm241.1.2.0', 'm241.3.1.2', 'm241.1.6.0'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [2, 23, 241], 'rd': 10.0329146319, 'regulator': {'__RealLiteral__': 0, 'data': '11.9765407066', 'prec': 44}, 'subfield_mults': [1], 'subfields': ['1.0.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  64. label: 12.2.1055385022464.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 6, -17, 30, -34, 12, 30, -64, 66, -44, 20, -6, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 1055385022464, 'disc_rad': 186, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [288, 96, 96], 'galois_label': '12T100', 'galt': 100, 'grd': 27.27636339397171, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.1055385022464.1', 'local_algs': ['2.6.2.12a9.1', '3.4.1.0a1.1', '3.4.1.0a1.1', '3.2.2.2a1.1', '31.1.2.1a1.2', '31.2.1.0a1.1', '31.2.2.2a1.2', '31.2.2.2a1.2'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [2, 3, 31], 'rd': 10.0450224232, 'regulator': {'__RealLiteral__': 0, 'data': '11.1504023923', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['-1.1.0.1', '-1.0.1.0.0.0.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  65. label: 12.2.1105886734375.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -4, 6, -2, -6, 14, -17, 14, -6, -2, 6, -4, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 1105886734375, 'disc_rad': 234205, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [2304, 2304, 2304], 'galois_label': '12T260', 'galt': 260, 'grd': 483.9473111817029, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.1105886734375.1', 'local_algs': ['5.1.2.1a1.1', '5.1.2.1a1.1', '5.4.2.4a1.2', '31.1.2.1a1.1', '31.2.1.0a1.1', '31.2.1.0a1.1', '31.2.1.0a1.1', '31.4.1.0a1.1', 'm1511.1.1.0', 'm1511.1.1.0', 'm1511.1.2.0', 'm1511.1.2.0', 'm1511.1.2.0', 'm1511.2.1.1', 'm1511.2.1.1'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [5, 31, 1511], 'rd': 10.08422562507214, 'regulator': {'__RealLiteral__': 0, 'data': '13.15135974710485', 'prec': 57}, 'subfield_mults': [1, 1], 'subfields': ['-1.-1.1', '-1.2.2.-4.0.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  66. label: 12.2.1173531982847.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, -4, 6, 8, -3, -17, -1, 13, 8, -5, -4, 0, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 1173531982847, 'disc_rad': 9821, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [768, 1152, 768], 'galois_label': '12T223', 'galt': 223, 'grd': 217.02502480233522, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.1173531982847.1', 'local_algs': ['7.2.1.0a1.1', '7.2.1.0a1.1', '7.4.1.0a1.1', '7.2.2.2a1.2', '23.4.1.0a1.1', '23.2.2.2a1.2', '23.1.4.3a1.1', '61.2.1.0a1.1', '61.1.2.1a1.1', '61.1.2.1a1.1', '61.2.1.0a1.1', '61.4.1.0a1.1'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [7, 23, 61], 'rd': 10.1342413791, 'regulator': {'__RealLiteral__': 0, 'data': '11.435150368', 'prec': 40}, 'subfield_mults': [1, 1], 'subfields': ['1.0.-1.1', '-1.0.1.-3.4.-3.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  67. label: 12.2.1188025263792.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -1, -7, 10, 10, -19, -2, 12, -1, -1, -2, 0, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 1188025263792, 'disc_rad': 1374, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [384, 192, 192], 'galois_label': '12T140', 'galt': 140, 'grd': 52.421369688324624, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '12.2.1188025263792.1', 'local_algs': ['2.2.2.4a1.1', '2.8.1.0a1.1', '3.3.2.3a1.1', '3.6.1.0a1.1', 'm229.1.2.0', 'm229.1.2.0', 'm229.2.4.4'], 'minimal_sibling': [-2, 4, 7, -9, -16, 14, 10, -11, -2, 4, 0, -2, 1], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [2, 3, 229], 'rd': 10.1446127416, 'regulator': {'__RealLiteral__': 0, 'data': '13.0090636733', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['-1.-4.0.1', '1.0.-1.-1.-1.0.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  68. label: 12.2.1269624859375.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -3, 5, -6, 3, 1, -3, 1, 3, -6, 5, -3, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 1269624859375, 'disc_rad': 250945, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [2304, 2304, 2304], 'galois_label': '12T260', 'galt': 260, 'grd': 500.9441086588403, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.1269624859375.1', 'local_algs': ['5.6.2.6a1.2', '31.1.1.0a1.1', '31.1.1.0a1.1', '31.1.1.0a1.1', '31.1.1.0a1.1', '31.2.1.0a1.1', '31.1.2.1a1.1', '31.4.1.0a1.1', 'm1619.1.1.0', 'm1619.1.1.0', 'm1619.2.1.1', 'm1619.2.1.1', 'm1619.1.3.0', 'm1619.1.3.0'], 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [5, 31, 1619], 'rd': 10.200926493593379, 'regulator': {'__RealLiteral__': 0, 'data': '11.490317164600082', 'prec': 60}, 'subfield_mults': [1, 1], 'subfields': ['-1.-1.1', '1.-3.-1.5.-2.-2.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  69. label: 12.2.1291799785472.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 8, -24, 32, -8, -50, 108, -124, 97, -54, 22, -6, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 1291799785472, 'disc_rad': 322, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [288, 96, 96], 'galois_label': '12T100', 'galt': 100, 'grd': 35.888716889852724, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.1291799785472.1', 'local_algs': ['2.3.2.6a3.1', '2.3.2.6a3.1', '7.4.1.0a1.1', '7.4.1.0a1.1', '7.2.2.2a1.1', '23.1.2.1a1.2', '23.2.1.0a1.1', '23.2.2.2a1.2', '23.2.2.2a1.2'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [2, 7, 23], 'rd': 10.215656169035022, 'regulator': {'__RealLiteral__': 0, 'data': '12.864501882713615', 'prec': 60}, 'subfield_mults': [1, 1], 'subfields': ['1.0.-1.1', '-1.0.0.0.1.0.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  70. label: 12.2.1297480511488.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -2, 3, -8, -5, -12, -11, -16, 1, -4, 5, 0, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 1297480511488, 'disc_rad': 434, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [288, 96, 96], 'galois_label': '12T110', 'galt': 110, 'grd': 41.66533331199932, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '12.2.1297480511488.1', 'local_algs': ['2.3.2.6a3.1', '2.3.2.6a3.1', '7.3.1.0a1.1', '7.3.1.0a1.1', '7.3.2.3a1.2', '31.1.1.0a1.1', '31.1.1.0a1.1', '31.2.1.0a1.1', '31.4.2.4a1.2'], 'minimal_sibling': [1, -2, 7, -5, 6, -2, 3, -1, 1], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [2, 7, 31], 'rd': 10.2193922811, 'regulator': {'__RealLiteral__': 0, 'data': '12.6508432833', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['-1.1.0.1', '-1.0.1.0.0.0.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  71. label: 12.2.1297573185143.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -2, -2, 8, -4, -12, 21, -12, -4, 8, -2, -2, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 1297573185143, 'disc_rad': 10327, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [192, 192], 'galois_label': '12T148', 'galt': 148, 'grd': 101.62184804460112, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '12.2.1297573185143.1', 'local_algs': ['23.1.1.0a1.1', '23.1.1.0a1.1', '23.1.2.1a1.1', '23.2.2.2a1.2', '23.2.2.2a1.2', 'm449.1.2.0', 'm449.1.2.0', 'm449.1.2.0', 'm449.1.2.0', 'm449.2.1.1', 'm449.2.1.1'], 'minimal_sibling': [1, 1, -2, -4, 1, 5, 1, -5, 1, 4, -2, -1, 1], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 5, 'ramps': [23, 449], 'rd': 10.2194531065, 'regulator': {'__RealLiteral__': 0, 'data': '12.4021804922', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['1.0.-1.1', '-8.12.-6.1.2.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  72. label: 12.2.1297573185143.2
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, 0, 0, -4, 0, -8, -3, -8, 0, -4, 0, 0, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 1297573185143, 'disc_rad': 10327, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [192, 192], 'galois_label': '12T148', 'galt': 148, 'grd': 101.62184804460112, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 2, 'label': '12.2.1297573185143.2', 'local_algs': ['23.1.2.1a1.2', '23.2.1.0a1.1', '23.2.2.2a1.2', '23.2.2.2a1.2', 'm449.1.1.0', 'm449.1.1.0', 'm449.1.1.0', 'm449.1.1.0', 'm449.1.2.0', 'm449.1.2.0', 'm449.2.2.2'], 'minimal_sibling': [1, 1, -2, -4, 1, 5, 1, -5, 1, 4, -2, -1, 1], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 5, 'ramps': [23, 449], 'rd': 10.2194531065, 'regulator': {'__RealLiteral__': 0, 'data': '14.5178310466', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['1.0.-1.1', '-5.-7.3.7.-1.-3.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  73. label: 12.2.1379382496000.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, 4, -2, -9, 3, 8, 3, -8, -7, 11, -1, -3, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 1379382496000, 'disc_rad': 8510, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [2048, 2304, 1536, 1536], 'galois_label': '12T250', 'galt': 250, 'grd': 154.8384970181677, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.1379382496000.1', 'local_algs': ['2.4.3.8a1.2', '5.4.1.0a1.1', '5.4.1.0a1.1', '5.1.4.3a1.2', '23.2.1.0a1.1', '23.1.2.1a1.1', '23.4.1.0a1.1', '23.4.1.0a1.1', '37.2.1.0a1.1', '37.2.1.0a1.1', '37.2.2.2a1.2', '37.2.2.2a1.2'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 4, 'r2': 5, 'ramps': [2, 5, 23, 37], 'rd': 10.2716542545, 'regulator': {'__RealLiteral__': 0, 'data': '13.7389817612', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['1.-3.-1.1', '1.-1.0.-1.0.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  74. label: 12.2.1384093442864.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 5, -10, 15, -14, 5, 3, -3, 1, -3, 5, -3, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 1384093442864, 'disc_rad': 1298, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [1536, 768, 1152], 'galois_label': '12T223', 'galt': 223, 'grd': 141.20996551754735, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.1384093442864.1', 'local_algs': ['2.2.2.4a1.1', '2.8.1.0a1.1', '11.2.1.0a1.1', '11.2.1.0a1.1', '11.4.1.0a1.1', '11.2.2.2a1.2', '59.2.2.2a1.2', '59.4.1.0a1.1', '59.1.4.3a1.1'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [2, 11, 59], 'rd': 10.274573050748863, 'regulator': {'__RealLiteral__': 0, 'data': '14.586348633597444', 'prec': 60}, 'subfield_mults': [1, 1], 'subfields': ['-1.2.0.1', '2.-4.-1.5.-2.-2.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  75. label: 12.2.1481617269811.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, 2, 2, 6, 4, 9, 0, 10, 2, 1, 4, -1, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 1481617269811, 'disc_rad': 41839, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [1024, 768, 768], 'galois_label': '12T222', 'galt': 222, 'grd': 282.90480334560243, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.1481617269811.1', 'local_algs': ['7.2.3.4a1.2', '7.2.3.4a1.2', '43.1.1.0a1.1', '43.1.1.0a1.1', '43.2.1.0a1.1', '43.2.1.0a1.1', '43.2.1.0a1.1', '43.2.2.2a1.2', '139.1.1.0a1.1', '139.1.1.0a1.1', '139.2.1.0a1.1', '139.2.1.0a1.1', '139.2.1.0a1.1', '139.1.2.1a1.1', '139.2.1.0a1.1'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [7, 43, 139], 'rd': 10.3330374315, 'regulator': {'__RealLiteral__': 0, 'data': '12.8298526818', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['1.-2.-1.1', '-1.3.2.-2.-1.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  76. label: 12.2.1676496367616.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 6, -10, 12, -22, 32, -30, 20, -8, 2, 1, -2, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 1676496367616, 'disc_rad': 994, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [1152, 512, 384], 'galois_label': '12T188', 'galt': 188, 'grd': 87.21132026694137, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '12.2.1676496367616.1', 'local_algs': ['2.6.2.12a9.1', '7.1.3.2a1.1', '7.1.3.2a1.1', '7.2.3.4a1.2', '71.1.1.0a1.1', '71.1.1.0a1.1', '71.1.2.1a1.1', '71.4.1.0a1.1', '71.4.1.0a1.1'], 'minimal_sibling': [1, 0, -2, 0, -5, 0, 4, 0, 2, 0, -2, 0, 1], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [2, 7, 71], 'rd': 10.4399932547, 'regulator': {'__RealLiteral__': 0, 'data': '15.7319845938', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['1.-2.-1.1', '-1.0.-2.0.1.0.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  77. label: 12.2.1687248699392.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -4, 10, -16, 19, -28, 28, -28, 19, -16, 10, -4, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 1687248699392, 'disc_rad': 46, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [36, 12], 'galois_label': '12T8', 'galt': 8, 'grd': 13.564659966250536, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '12.2.1687248699392.1', 'local_algs': ['2.3.4.18a4.1', '23.1.2.1a1.2', '23.2.1.0a1.1', '23.2.2.2a1.2', '23.2.2.2a1.2'], 'minimal_sibling': [-2, 0, 2, -2, 1], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 5, 'ramps': [2, 23], 'rd': 10.4455567243, 'regulator': {'__RealLiteral__': 0, 'data': '14.3102205078', 'prec': 44}, 'subfield_mults': [1, 2, 1], 'subfields': ['1.0.-1.1', '-2.0.2.-2.1', '-1.0.0.0.1.0.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  78. label: 12.2.1687248699392.2
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 2, 10, -30, 12, 14, -2, -4, -11, 10, 2, -4, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 1687248699392, 'disc_rad': 46, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [84, 24], 'galois_label': '12T22', 'galt': 22, 'grd': 16.131190144457708, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 2, 'label': '12.2.1687248699392.2', 'local_algs': ['2.3.4.18a15.4', '23.1.1.0a1.1', '23.1.1.0a1.1', '23.1.2.1a1.1', '23.2.2.2a1.2', '23.2.2.2a1.2'], 'minimal_sibling': [1, 0, 0, 0, -1, 0, 1], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 5, 'ramps': [2, 23], 'rd': 10.4455567243, 'regulator': {'__RealLiteral__': 0, 'data': '14.2298934051', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['1.0.-1.1', '-1.0.0.0.1.0.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  79. label: 12.2.1687248699392.3
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 10, -35, 56, -34, -20, 42, -14, -11, 10, -1, -2, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 1687248699392, 'disc_rad': 46, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [36, 12], 'galois_label': '12T13', 'galt': 13, 'grd': 13.564659966250536, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 3, 'label': '12.2.1687248699392.3', 'local_algs': ['2.6.2.18a1.17', '23.1.2.1a1.2', '23.2.1.0a1.1', '23.2.2.2a1.2', '23.2.2.2a1.2'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 5, 'ramps': [2, 23], 'rd': 10.4455567243, 'regulator': {'__RealLiteral__': 0, 'data': '15.4837872745', 'prec': 44}, 'subfield_mults': [1, 1, 1, 1], 'subfields': ['-2.0.1', '1.0.-1.1', '-1.-2.3.-2.1', '-8.0.8.0.-2.0.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  80. label: 12.2.1744787927040.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, -4, -7, -4, 3, 8, 8, 2, -3, -6, 0, 0, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 1744787927040, 'disc_rad': 2190, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [5760, 1920, 1920, 1920], 'galois_label': '12T255', 'galt': 255, 'grd': 93.59487165438073, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.1744787927040.1', 'local_algs': ['2.6.2.12a9.1', '3.1.2.1a1.2', '3.5.1.0a1.1', '3.5.1.0a1.1', '5.1.2.1a1.1', '5.10.1.0a1.1', '73.1.1.0a1.1', '73.1.1.0a1.1', '73.1.2.1a1.2', '73.1.2.1a1.2', '73.2.1.0a1.1', '73.2.2.2a1.2'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 4, 'r2': 5, 'ramps': [2, 3, 5, 73], 'rd': 10.4747874842, 'regulator': {'__RealLiteral__': 0, 'data': '19.965236689', 'prec': 40}, 'subfield_mults': [1], 'subfields': ['-1.-2.3.-4.4.-2.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  81. label: 12.2.1815232161643.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -4, 10, -21, 34, -46, 51, -46, 34, -21, 10, -4, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 1815232161643, 'disc_rad': 283, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [12], 'galois_label': '12T8', 'galt': 8, 'grd': 16.822603841260722, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '12.2.1815232161643.1', 'local_algs': ['m283.1.1.0', 'm283.1.1.0', 'm283.2.1.1', 'm283.2.1.1', 'm283.2.1.1', 'm283.2.1.1', 'm283.2.1.1'], 'minimal_sibling': [-1, -1, 0, 0, 1], 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 1, 'r2': 5, 'ramps': [283], 'rd': 10.5093941769, 'regulator': {'__RealLiteral__': 0, 'data': '14.3846253035', 'prec': 44}, 'subfield_mults': [1, 2, 1], 'subfields': ['-1.4.0.1', '-1.-1.0.0.1', '-1.0.-1.-1.1.0.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  82. label: 12.2.1815232161643.2
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, 5, 0, 3, 5, -11, 14, -16, 12, -8, 5, -2, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 1815232161643, 'disc_rad': 283, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [576], 'galois_label': '12T190', 'galt': 190, 'grd': 68.99852815152498, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 2, 'label': '12.2.1815232161643.2', 'local_algs': ['m283.1.1.0', 'm283.1.1.0', 'm283.1.2.0', 'm283.2.1.1', 'm283.2.1.1', 'm283.4.1.3'], 'minimal_sibling': [-107, -11, 196, -196, 30, 25, -38, 26, -12, 3, 2, -2, 1], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 1, 'r2': 5, 'ramps': [283], 'rd': 10.5093941769, 'regulator': {'__RealLiteral__': 0, 'data': '15.4665830352', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['-1.4.0.1', '-1.0.-1.-1.1.0.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  83. label: 12.2.1931707442875.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -4, 5, 1, -15, 32, -39, 32, -15, 1, 5, -4, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 1931707442875, 'disc_rad': 805, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [1152, 768, 1152], 'galois_label': '12T225', 'galt': 225, 'grd': 92.91212656206241, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '12.2.1931707442875.1', 'local_algs': ['5.1.4.3a1.3', '5.4.1.0a1.1', '5.4.1.0a1.1', '7.2.1.0a1.1', '7.2.1.0a1.1', '7.4.2.4a1.2', '23.1.2.1a1.1', '23.2.1.0a1.1', '23.2.1.0a1.1', '23.1.2.1a1.1', '23.1.4.3a1.1'], 'minimal_sibling': [1, -2, 3, -2, 4, -7, 11, -7, 4, -2, 3, -2, 1], 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [5, 7, 23], 'rd': 10.5640013028, 'regulator': {'__RealLiteral__': 0, 'data': '16.4962180483', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['1.0.-1.1', '-1.-5.4.-8.4.-2.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  84. label: 12.2.1965200244736.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-4, 0, 12, 0, -12, 0, 4, 0, 4, 0, -4, 0, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 1965200244736, 'disc_rad': 74, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [412, 96], 'galois_label': '12T114', 'galt': 114, 'grd': 26.919132557278957, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '12.2.1965200244736.1', 'local_algs': ['2.1.12.20b1.11', '37.2.1.0a1.1', '37.2.1.0a1.1', '37.4.2.4a1.2'], 'minimal_sibling': [-34, -60, 0, 48, 72, -16, -22, -36, 20, 0, 8, -6, 1], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 5, 'ramps': [2, 37], 'rd': 10.5791449454, 'regulator': {'__RealLiteral__': 0, 'data': '25.049194178', 'prec': 40}, 'subfield_mults': [1, 1], 'subfields': ['1.-3.-1.1', '1.0.-1.-2.-1.0.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  85. label: 12.2.1980683255808.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, -6, -14, -24, -21, -16, 0, -4, 2, -6, 2, -2, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 1980683255808, 'disc_rad': 138, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [360, 96, 96], 'galois_label': '12T110', 'galt': 110, 'grd': 30.468830670705117, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '12.2.1980683255808.1', 'local_algs': ['2.3.4.18a2.1', '3.3.1.0a1.1', '3.3.1.0a1.1', '3.3.2.3a1.2', '23.1.1.0a1.1', '23.1.1.0a1.1', '23.2.1.0a1.1', '23.4.2.4a1.2'], 'minimal_sibling': [3, -6, 4, -4, 11, -12, 6, -2, 1], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [2, 3, 23], 'rd': 10.5860657204, 'regulator': {'__RealLiteral__': 0, 'data': '15.2996347166', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['1.0.-1.1', '-1.0.0.0.1.0.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  86. label: 12.2.1980683255808.2
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, 0, 4, -24, -1, -22, 20, -6, 12, -8, 2, -2, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 1980683255808, 'disc_rad': 138, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [744, 192, 192], 'galois_label': '12T137', 'galt': 137, 'grd': 31.81780105063763, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 2, 'label': '12.2.1980683255808.2', 'local_algs': ['2.3.4.18a8.1', '3.6.1.0a1.1', '3.3.2.3a1.1', '23.1.1.0a1.1', '23.1.1.0a1.1', '23.2.1.0a1.1', '23.4.2.4a1.2'], 'minimal_sibling': [1, 0, 4, 0, 6, 0, 0, 0, -4, 0, -1, 0, 1], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [2, 3, 23], 'rd': 10.5860657204, 'regulator': {'__RealLiteral__': 0, 'data': '15.9146900417', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['1.0.-1.1', '-1.0.0.0.1.0.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  87. label: 12.2.1985706421875.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, 1, 1, -3, -6, 4, 5, -6, 1, 1, 1, -2, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 1985706421875, 'disc_rad': 16995, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [2592, 2592, 2592, 2592], 'galois_label': '12T267', 'galt': 267, 'grd': 130.3648725692623, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '12.2.1985706421875.1', 'local_algs': ['3.2.1.0a1.1', '3.2.1.0a1.1', '3.4.1.0a1.1', '3.2.2.2a1.1', '5.6.2.6a1.2', '11.1.2.1a1.2', '11.2.2.2a1.2', '11.6.1.0a1.1', '103.2.1.0a1.1', '103.2.1.0a1.1', '103.4.1.0a1.1', '103.2.2.2a1.1'], 'minimal_sibling': [1264, 3324, 999, -3502, -1771, 1790, 609, -547, -21, 79, -12, -4, 1], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 4, 'r2': 5, 'ramps': [3, 5, 11, 103], 'rd': 10.5883003809, 'regulator': {'__RealLiteral__': 0, 'data': '16.9493563775', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['-1.-1.1', '-1.2.0.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  88. label: 12.2.2200087036903.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, -3, 5, 10, -25, 13, 9, -13, 2, 3, 0, -2, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 2200087036903, 'disc_rad': 1981, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [96, 96], 'galois_label': '12T114', 'galt': 114, 'grd': 44.50842616853577, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '12.2.2200087036903.1', 'local_algs': ['7.3.1.0a1.1', '7.3.1.0a1.1', '7.3.2.3a1.2', 'm283.1.1.0', 'm283.1.1.0', 'm283.1.2.0', 'm283.2.1.1', 'm283.2.1.1', 'm283.2.2.2'], 'minimal_sibling': [16, -19, 180, -1, 757, -238, 624, -141, 188, -18, 23, 0, 1], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 5, 'ramps': [7, 283], 'rd': 10.6791492254, 'regulator': {'__RealLiteral__': 0, 'data': '17.3507619158', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['-1.4.0.1', '-1.0.-1.-1.1.0.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  89. label: 12.2.2233584845312.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 6, -16, 20, -6, -4, 0, 2, -1, 2, 0, -2, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 2233584845312, 'disc_rad': 514, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [288, 96], 'galois_label': '12T114', 'galt': 114, 'grd': 45.34313619501854, 'inessentialp': [2], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '12.2.2233584845312.1', 'local_algs': ['2.3.1.0a1.1', '2.3.1.0a1.1', '2.3.2.9a1.1', 'm257.1.2.0', 'm257.1.2.0', 'm257.2.4.4'], 'minimal_sibling': [875, -1738, 1591, -840, 739, -554, 405, -162, -161, 132, -21, -2, 1], 'monogenic': -1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 5, 'ramps': [2, 257], 'rd': 10.6926053494, 'regulator': {'__RealLiteral__': 0, 'data': '18.2043751513', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['3.-4.-1.1', '1.-1.-1.1.-1.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  90. label: 12.2.2332363542187.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -3, 5, 0, -3, 3, 3, 2, -6, 7, -1, -1, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 2332363542187, 'disc_rad': 29197, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [1024, 768, 768], 'galois_label': '12T222', 'galt': 222, 'grd': 236.32996370203557, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '12.2.2332363542187.1', 'local_algs': ['7.4.3.8a1.3', '43.1.2.1a1.2', '43.2.1.0a1.1', '43.2.1.0a1.1', '43.2.1.0a1.1', '43.2.1.0a1.1', '43.2.1.0a1.1', '97.2.1.0a1.1', '97.2.1.0a1.1', '97.2.1.0a1.1', '97.2.1.0a1.1', '97.2.2.2a1.2'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [7, 43, 97], 'rd': 10.731234544488437, 'regulator': {'__RealLiteral__': 0, 'data': '18.576521347942254', 'prec': 60}, 'subfield_mults': [1, 1], 'subfields': ['1.-2.-1.1', '-1.-3.7.-9.7.-3.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  91. label: 12.2.2334026173504.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 0, -7, 0, 3, 0, -9, 0, 5, 0, -3, 0, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 2334026173504, 'disc_rad': 874, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [384, 192, 192], 'galois_label': '12T137', 'galt': 137, 'grd': 41.80908992073375, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '12.2.2334026173504.1', 'local_algs': ['2.3.2.6a1.2', '2.6.1.0a1.1', '19.4.1.0a1.1', '19.2.2.2a1.1', '19.2.2.2a1.1', '23.1.1.0a1.1', '23.1.1.0a1.1', '23.2.1.0a1.1', '23.4.2.4a1.2'], 'minimal_sibling': [1, -6, 17, -34, 53, -64, 62, -46, 27, -14, 8, -4, 1], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [2, 19, 23], 'rd': 10.7318718186, 'regulator': {'__RealLiteral__': 0, 'data': '18.1806291049', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['1.0.-1.1', '-1.-10.0.-2.3.-2.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  92. label: 12.2.2408586330112.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -2, 2, -4, 9, -16, 18, -16, 9, -4, 2, -2, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 2408586330112, 'disc_rad': 86, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [28, 12], 'galois_label': '12T8', 'galt': 8, 'grd': 14.720951755301632, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '12.2.2408586330112.1', 'local_algs': ['2.1.12.14a1.1', '43.1.1.0a1.1', '43.1.1.0a1.1', '43.1.2.1a1.1', '43.1.2.1a1.1', '43.1.2.1a1.1', '43.1.2.1a1.1', '43.1.2.1a1.1'], 'minimal_sibling': [-1, -2, 0, 0, 1], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 5, 'ramps': [2, 43], 'rd': 10.7600308898, 'regulator': {'__RealLiteral__': 0, 'data': '28.1348461967', 'prec': 44}, 'subfield_mults': [1, 2, 1], 'subfields': ['3.-1.-1.1', '-1.-2.0.0.1', '1.-2.3.-6.3.-2.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  93. label: 12.2.2443693379099.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, -2, -1, 1, 5, 2, -7, -4, 6, 3, -3, -1, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 2443693379099, 'disc_rad': 60557, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [36864, 20736, 20736], 'galois_label': '12T292', 'galt': 292, 'grd': 524.4829973100741, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.2443693379099.1', 'local_algs': ['7.1.3.2a1.1', '7.1.9.8a1.1', '41.1.1.0a1.1', '41.1.1.0a1.1', '41.1.1.0a1.1', '41.1.2.1a1.1', '41.3.1.0a1.1', '41.4.1.0a1.1', 'm211.1.1.0', 'm211.1.1.0', 'm211.1.1.0', 'm211.1.1.0', 'm211.1.1.0', 'm211.1.2.0', 'm211.2.1.1', 'm211.1.3.0'], 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [7, 41, 211], 'rd': 10.773014044220586, 'regulator': {'__RealLiteral__': 0, 'data': '19.50697542079606', 'prec': 57}, 'subfield_mults': [1], 'subfields': ['1.-2.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  94. label: 12.2.2458624000000.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 0, 0, 0, -5, 0, -16, 0, 5, 0, 0, 0, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 2458624000000, 'disc_rad': 70, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [80, 24, 24], 'galois_label': '12T28', 'galt': 28, 'grd': 18.782382542440256, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.2458624000000.1', 'local_algs': ['2.2.6.16a2.8', '5.2.2.2a1.2', '5.2.2.2a1.2', '5.2.2.2a1.2', '7.4.1.0a1.1', '7.4.2.4a1.2'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [2, 5, 7], 'rd': 10.7784838763, 'regulator': {'__RealLiteral__': 0, 'data': '19.8761373413', 'prec': 44}, 'subfield_mults': [1, 1, 1, 1], 'subfields': ['-1.-1.1', '-2.2.0.1', '-1.0.-1.0.1', '1.-1.-2.5.-2.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  95. label: 12.2.2458729426447.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -1, 1, -1, 0, 0, -1, 0, 0, -1, 1, -1, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 2458729426447, 'disc_rad': 4148627, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [23040, 23040], 'galois_label': '12T293', 'galt': 293, 'grd': 2036.8178612728238, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.2458729426447.1', 'local_algs': ['7.2.1.0a1.1', '7.2.1.0a1.1', '7.1.2.1a1.1', '7.3.1.0a1.1', '7.3.1.0a1.1', 'm592661.1.2.0', 'm592661.1.2.0', 'm592661.2.1.1', 'm592661.2.1.1', 'm592661.1.4.0'], 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 5, 'ramps': [7, 592661], 'rd': 10.7785223909, 'regulator': {'__RealLiteral__': 0, 'data': '18.0616925439', 'prec': 44}, 'subfield_mults': [1], 'subfields': ['-1.-2.5.4.-5.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  96. label: 12.2.2512782950976.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -7, 19, -29, 28, -18, 10, -9, 11, -12, 8, -4, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 2512782950976, 'disc_rad': 1542, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [384, 192, 192], 'galois_label': '12T140', 'galt': 140, 'grd': 55.53377350765928, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '12.2.2512782950976.1', 'local_algs': ['2.3.2.6a1.2', '2.6.1.0a1.1', '3.2.2.2a1.2', '3.8.1.0a1.1', 'm257.1.1.0', 'm257.1.1.0', 'm257.1.1.0', 'm257.1.1.0', 'm257.2.4.4'], 'minimal_sibling': [1, -6, 22, -54, 90, -122, 139, -122, 90, -54, 22, -6, 1], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [2, 3, 257], 'rd': 10.7980727236, 'regulator': {'__RealLiteral__': 0, 'data': '18.3189409677', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['3.-4.-1.1', '1.-1.-1.1.-1.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  97. label: 12.2.2558708740096.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 2, -3, 4, -7, 10, -12, 8, 1, -8, 8, -4, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 2558708740096, 'disc_rad': 4154, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [34560, 11520, 15360], 'galois_label': '12T286', 'galt': 286, 'grd': 259.78199174886123, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.2558708740096.1', 'local_algs': ['2.6.2.12a9.1', '31.1.1.0a1.1', '31.1.1.0a1.1', '31.1.2.1a1.1', '31.4.1.0a1.1', '31.4.1.0a1.1', '67.2.3.4a1.1', '67.6.1.0a1.1'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [2, 31, 67], 'rd': 10.8143827839, 'regulator': {'__RealLiteral__': 0, 'data': '18.2745114334', 'prec': 44}, 'subfield_mults': [1], 'subfields': ['-1.-2.1.0.-2.0.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  98. label: 12.2.2928329928704.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -1, -2, 8, -8, -1, 7, -4, 1, -1, 1, -1, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 2928329928704, 'disc_rad': 118, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [72, 24], 'galois_label': '12T22', 'galt': 22, 'grd': 21.72556098240043, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '12.2.2928329928704.1', 'local_algs': ['2.4.1.0a1.1', '2.4.2.12a1.1', '59.1.2.1a1.2', '59.2.1.0a1.1', '59.2.2.2a1.2', '59.2.2.2a1.2'], 'minimal_sibling': [1, -1, 2, 0, 2, -1, 1], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 5, 'ramps': [2, 59], 'rd': 10.9366672924, 'regulator': {'__RealLiteral__': 0, 'data': '19.2003177427', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['-1.2.0.1', '-4.0.-2.0.1.0.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  99. label: 12.2.2938402978819.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 5, -1, -10, 11, 0, -11, 14, -6, -2, 4, -3, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 2938402978819, 'disc_rad': 1771, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [288, 288, 192], 'galois_label': '12T151', 'galt': 151, 'grd': 124.66138909089473, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.2938402978819.1', 'local_algs': ['7.2.1.0a1.1', '7.2.1.0a1.1', '7.2.1.0a1.1', '7.2.1.0a1.1', '7.1.4.3a1.2', '11.1.4.3a1.2', '11.8.1.0a1.1', '23.2.1.0a1.1', '23.1.2.1a1.2', '23.4.2.4a1.2'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [7, 11, 23], 'rd': 10.9397974125, 'regulator': {'__RealLiteral__': 0, 'data': '19.8237670654', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['1.0.-1.1', '-1.3.-3.-2.3.-2.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}
  100. label: 12.2.2998803361792.1
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, -2, 3, 6, -6, -14, -20, -12, -4, -2, 2, 0, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 2998803361792, 'disc_rad': 1778, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [1152, 512, 384], 'galois_label': '12T188', 'galt': 188, 'grd': 116.63947261487952, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '12.2.2998803361792.1', 'local_algs': ['2.6.2.12a9.1', '7.1.3.2a1.1', '7.1.3.2a1.1', '7.2.3.4a1.2', '127.1.1.0a1.1', '127.1.1.0a1.1', '127.2.1.0a1.1', '127.2.1.0a1.1', '127.1.2.1a1.1', '127.2.1.0a1.1', '127.2.1.0a1.1'], 'minimal_sibling': [1, 0, 7, 0, 10, 0, -7, 0, -4, 0, 0, 0, 1], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [2, 7, 127], 'rd': 10.9583625772, 'regulator': {'__RealLiteral__': 0, 'data': '21.9786876084', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['1.-2.-1.1', '-1.0.-2.0.1.0.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}