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av_fq_isog • Show schema
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{'abvar_count': 3536, 'abvar_counts': [3536, 12503296, 42180127184, 146928531902464, 511116754290832976, 1779163129258415769856, 6193386212892732270671696, 21559179716603839045813469184, 75047496554032941044208924430544, 261240336516795729383143627929016576], 'abvar_counts_str': '3536 12503296 42180127184 146928531902464 511116754290832976 1779163129258415769856 6193386212892732270671696 21559179716603839045813469184 75047496554032941044208924430544 261240336516795729383143627929016576 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.325650265238338, 0.674349734761662], 'center_dim': 4, 'cohen_macaulay_max': 3, 'curve_count': 60, 'curve_counts': [60, 3590, 205380, 12125454, 714924300, 42179720726, 2488651484820, 146830453333534, 8662995818654940, 511116755281024550], 'curve_counts_str': '60 3590 205380 12125454 714924300 42179720726 2488651484820 146830453333534 8662995818654940 511116755281024550 ', 'curves': ['y^2=41*x^6+49*x^5+51*x^4+17*x^3+41*x^2+3', 'y^2=x^6+30*x^5+x^4+10*x^3+24*x^2+11*x+47', 'y^2=2*x^6+x^5+2*x^4+20*x^3+48*x^2+22*x+35', 'y^2=50*x^6+28*x^5+13*x^3+57*x^2+54*x+35', 'y^2=41*x^6+56*x^5+26*x^3+55*x^2+49*x+11', 'y^2=15*x^6+56*x^5+51*x^4+17*x^3+55*x^2+14*x+24', 'y^2=8*x^6+27*x^5+49*x^4+10*x^3+18*x^2+55*x+32', 'y^2=48*x^6+36*x^5+8*x^4+12*x^3+7*x^2+4*x+52', 'y^2=21*x^6+7*x^5+58*x^4+5*x^3+51*x^2+35*x+14', 'y^2=17*x^6+43*x^5+33*x^4+18*x^3+49*x^2+11*x+22', 'y^2=34*x^6+27*x^5+7*x^4+36*x^3+39*x^2+22*x+44', 'y^2=18*x^6+51*x^5+49*x^4+10*x^3+6*x^2+22*x+1', 'y^2=50*x^6+39*x^5+6*x^4+24*x^3+4*x^2+51*x+31', 'y^2=41*x^6+19*x^5+12*x^4+48*x^3+8*x^2+43*x+3', 'y^2=24*x^6+32*x^5+42*x^4+10*x^3+x^2+31*x+15', 'y^2=48*x^6+5*x^5+25*x^4+20*x^3+2*x^2+3*x+30', 'y^2=14*x^6+43*x^5+14*x^4+7*x^3+10*x^2+38*x+36', 'y^2=28*x^6+27*x^5+28*x^4+14*x^3+20*x^2+17*x+13', 'y^2=40*x^6+53*x^5+36*x^4+45*x^3+57*x^2+16*x+40', 'y^2=2*x^6+44*x^5+33*x^4+9*x^3+7*x^2+17*x+1', 'y^2=4*x^6+29*x^5+7*x^4+18*x^3+14*x^2+34*x+2', 'y^2=56*x^6+54*x^5+46*x^4+33*x^3+40*x^2+56*x+1', 'y^2=49*x^6+13*x^5+56*x^4+54*x^3+58*x^2+45*x+19', 'y^2=39*x^6+26*x^5+53*x^4+49*x^3+57*x^2+31*x+38', 'y^2=14*x^6+42*x^5+33*x^4+2*x^3+12*x^2+35*x+37', 'y^2=28*x^6+25*x^5+7*x^4+4*x^3+24*x^2+11*x+15', 'y^2=19*x^6+41*x^4+x^3+47*x^2+46*x+52', 'y^2=4*x^6+49*x^5+13*x^4+14*x^3+5*x^2+56', 'y^2=8*x^6+39*x^5+26*x^4+28*x^3+10*x^2+53', 'y^2=7*x^6+27*x^5+49*x^4+42*x^3+9*x^2+34*x+2', 'y^2=12*x^6+7*x^5+42*x^3+7*x^2+17*x+1', 'y^2=24*x^6+14*x^5+25*x^3+14*x^2+34*x+2', 'y^2=5*x^6+50*x^5+x^4+40*x^3+54*x^2+42*x+42', 'y^2=40*x^6+46*x^5+52*x^4+11*x^3+40*x^2+15*x+42', 'y^2=21*x^6+33*x^5+45*x^4+22*x^3+21*x^2+30*x+25', 'y^2=47*x^6+30*x^5+39*x^4+41*x^3+40*x^2+28', 'y^2=35*x^6+x^5+19*x^4+23*x^3+21*x^2+56', 'y^2=9*x^6+9*x^5+56*x^4+33*x^3+3*x^2+8*x+29', 'y^2=4*x^6+40*x^5+43*x^4+46*x^3+38*x^2+56*x+28', 'y^2=8*x^6+21*x^5+27*x^4+33*x^3+17*x^2+53*x+56', 'y^2=37*x^6+9*x^5+50*x^4+25*x^3+27*x^2+11*x+38', 'y^2=15*x^6+18*x^5+41*x^4+50*x^3+54*x^2+22*x+17', 'y^2=29*x^6+28*x^5+3*x^4+45*x^3+7*x^2+10*x+37', 'y^2=58*x^6+56*x^5+6*x^4+31*x^3+14*x^2+20*x+15', 'y^2=16*x^6+53*x^5+42*x^4+24*x^3+24*x^2+45*x+41', 'y^2=32*x^6+47*x^5+25*x^4+48*x^3+48*x^2+31*x+23', 'y^2=8*x^6+14*x^5+39*x^4+7*x^3+40*x^2+56*x+35', 'y^2=25*x^6+29*x^5+19*x^4+14*x^3+58*x^2+21*x+18', 'y^2=3*x^6+36*x^5+37*x^4+29*x^3+31*x^2+56*x+2', 'y^2=6*x^6+13*x^5+15*x^4+58*x^3+3*x^2+53*x+4', 'y^2=39*x^6+13*x^5+54*x^4+29*x^3+14*x^2+10*x+19', 'y^2=49*x^6+x^5+24*x^4+37*x^3+37*x^2+48*x+38', 'y^2=39*x^6+2*x^5+48*x^4+15*x^3+15*x^2+37*x+17', 'y^2=25*x^6+5*x^5+11*x^4+6*x^3+7*x^2+20*x+53', 'y^2=50*x^6+10*x^5+22*x^4+12*x^3+14*x^2+40*x+47', 'y^2=25*x^6+4*x^5+32*x^4+53*x^3+2*x^2+52*x+40', 'y^2=50*x^6+8*x^5+5*x^4+47*x^3+4*x^2+45*x+21', 'y^2=25*x^6+3*x^5+44*x^4+56*x^3+37*x^2+57', 'y^2=57*x^6+36*x^4+13*x^2+43', 'y^2=4*x^6+35*x^4+11*x^2+32', 'y^2=33*x^6+56*x^5+6*x^4+55*x^3+27*x^2+13*x+35', 'y^2=21*x^6+16*x^5+3*x^4+57*x^3+55*x^2+46*x+40', 'y^2=42*x^6+32*x^5+6*x^4+55*x^3+51*x^2+33*x+21', 'y^2=11*x^6+24*x^4+48*x^2+29', 'y^2=50*x^6+47*x^4+35*x^2+46', 'y^2=26*x^6+22*x^5+5*x^4+35*x^3+17*x^2+53*x+3', 'y^2=34*x^6+11*x^5+16*x^4+3*x^3+48*x^2+31*x+4', 'y^2=9*x^6+22*x^5+32*x^4+6*x^3+37*x^2+3*x+8', 'y^2=36*x^6+3*x^5+39*x^4+48*x^3+x^2+27*x+31', 'y^2=42*x^6+17*x^5+10*x^4+54*x^3+17*x+14', 'y^2=25*x^6+34*x^5+20*x^4+49*x^3+34*x+28', 'y^2=35*x^6+19*x^5+54*x^4+27*x^3+52*x^2+5*x+19', 'y^2=11*x^6+38*x^5+49*x^4+54*x^3+45*x^2+10*x+38', 'y^2=51*x^6+48*x^5+21*x^4+38*x^3+9*x^2+38*x+35', 'y^2=43*x^6+37*x^5+42*x^4+17*x^3+18*x^2+17*x+11', 'y^2=20*x^5+26*x^4+42*x^3+31*x^2+41*x', 'y^2=23*x^6+44*x^5+13*x^4+54*x^3+26*x^2+58*x+7', 'y^2=21*x^6+37*x^5+49*x^4+11*x^3+18*x^2+57*x+28', 'y^2=57*x^6+12*x^5+56*x^4+32*x^3+56*x^2+12*x+57', 'y^2=55*x^6+24*x^5+53*x^4+5*x^3+53*x^2+24*x+55', 'y^2=24*x^6+55*x^5+28*x^4+30*x^3+44*x^2+48*x+11', 'y^2=48*x^6+51*x^5+56*x^4+x^3+29*x^2+37*x+22', 'y^2=14*x^6+24*x^5+57*x^4+57*x^3+23*x^2+15*x+40', 'y^2=52*x^6+25*x^5+7*x^4+24*x^3+7*x^2+25*x+52', 'y^2=45*x^6+50*x^5+14*x^4+48*x^3+14*x^2+50*x+45', 'y^2=10*x^6+39*x^5+49*x^4+58*x^3+35*x^2+8*x+49', 'y^2=20*x^6+19*x^5+39*x^4+57*x^3+11*x^2+16*x+39', 'y^2=18*x^6+5*x^5+53*x^4+46*x^3+45*x^2+x+32', 'y^2=36*x^6+10*x^5+47*x^4+33*x^3+31*x^2+2*x+5', 'y^2=3*x^6+26*x^5+39*x^4+9*x^3+39*x^2+26*x+3', 'y^2=6*x^6+52*x^5+19*x^4+18*x^3+19*x^2+52*x+6', 'y^2=16*x^5+58*x^4+19*x^3+41*x^2+51*x', 'y^2=2*x^6+54*x^5+17*x^4+13*x^3+37*x^2+44*x+37', 'y^2=4*x^6+49*x^5+34*x^4+26*x^3+15*x^2+29*x+15', 'y^2=12*x^6+8*x^5+30*x^4+9*x^3+39*x^2+x+17', 'y^2=24*x^6+16*x^5+x^4+18*x^3+19*x^2+2*x+34', 'y^2=45*x^6+3*x^5+15*x^4+48*x^3+21*x^2+40*x+3', 'y^2=31*x^6+6*x^5+30*x^4+37*x^3+42*x^2+21*x+6', 'y^2=27*x^6+44*x^5+30*x^4+21*x^3+55*x^2+9*x+35', 'y^2=54*x^6+29*x^5+x^4+42*x^3+51*x^2+18*x+11', 'y^2=45*x^6+9*x^5+54*x^4+25*x^3+10*x^2+28*x+57', 'y^2=31*x^6+18*x^5+49*x^4+50*x^3+20*x^2+56*x+55', 'y^2=35*x^6+20*x^4+40*x^2+44', 'y^2=26*x^6+51*x^4+43*x^2+31', 'y^2=21*x^6+41*x^5+11*x^4+8*x^3+55*x^2+57*x+53', 'y^2=42*x^6+23*x^5+22*x^4+16*x^3+51*x^2+55*x+47', 'y^2=12*x^6+44*x^5+31*x^4+8*x^3+29*x^2+21*x+56', 'y^2=x^6+40*x^5+28*x^4+25*x^3+7*x+48', 'y^2=2*x^6+21*x^5+56*x^4+50*x^3+14*x+37', 'y^2=33*x^6+21*x^5+50*x^4+56*x^3+25*x^2+20*x+41', 'y^2=35*x^6+47*x^5+12*x^4+52*x^3+35*x^2+x+27', 'y^2=11*x^6+35*x^5+24*x^4+45*x^3+11*x^2+2*x+54', 'y^2=23*x^6+7*x^5+9*x^4+34*x^3+12*x^2+25*x+31', 'y^2=46*x^6+14*x^5+18*x^4+9*x^3+24*x^2+50*x+3', 'y^2=12*x^6+39*x^5+38*x^4+12*x^3+27*x^2+44*x+39', 'y^2=25*x^6+13*x^5+11*x^4+40*x^3+11*x^2+27*x+4', 'y^2=50*x^6+26*x^5+22*x^4+21*x^3+22*x^2+54*x+8', 'y^2=11*x^6+57*x^5+52*x^4+28*x^3+17*x^2+46*x+16', 'y^2=57*x^6+38*x^5+14*x^3+9*x^2+53*x+58', 'y^2=55*x^6+17*x^5+28*x^3+18*x^2+47*x+57', 'y^2=15*x^6+15*x^5+9*x^4+16*x^3+52*x^2+20*x+50', 'y^2=27*x^6+42*x^5+2*x^4+39*x^3+5*x^2+30*x+38', 'y^2=6*x^6+29*x^5+28*x^4+42*x^3+9*x^2+26*x+10', 'y^2=12*x^6+58*x^5+56*x^4+25*x^3+18*x^2+52*x+20', 'y^2=7*x^6+8*x^5+31*x^4+44*x^3+20*x^2+25*x+13', 'y^2=42*x^6+10*x^5+16*x^4+54*x^3+27*x^2+56', 'y^2=25*x^6+20*x^5+32*x^4+49*x^3+54*x^2+53', 'y^2=26*x^6+2*x^5+37*x^4+55*x^3+50*x^2+4*x+45', 'y^2=48*x^6+51*x^5+22*x^4+33*x^3+51*x^2+57*x+4', 'y^2=50*x^6+58*x^5+20*x^4+30*x^3+43*x^2+16*x+50', 'y^2=41*x^6+57*x^5+40*x^4+x^3+27*x^2+32*x+41', 'y^2=30*x^6+48*x^5+10*x^4+21*x^3+36*x^2+25*x+12', 'y^2=3*x^6+19*x^5+34*x^4+48*x^3+44*x^2+27*x+38', 'y^2=6*x^6+38*x^5+9*x^4+37*x^3+29*x^2+54*x+17', 'y^2=21*x^6+45*x^5+25*x^4+51*x^3+54*x^2+53*x+7', 'y^2=42*x^6+31*x^5+50*x^4+43*x^3+49*x^2+47*x+14', 'y^2=45*x^6+5*x^5+21*x^4+34*x^3+14*x^2+29*x+38', 'y^2=55*x^6+25*x^5+48*x^4+16*x^3+31*x^2+31*x+14', 'y^2=51*x^6+50*x^5+37*x^4+32*x^3+3*x^2+3*x+28', 'y^2=56*x^6+23*x^5+47*x^4+28*x^3+48*x^2+14*x+15', 'y^2=58*x^6+23*x^5+45*x^4+16*x^3+46*x^2+37*x+50', 'y^2=2*x^6+43*x^5+35*x^4+21*x^3+23*x^2+42*x+35', 'y^2=4*x^6+27*x^5+11*x^4+42*x^3+46*x^2+25*x+11', 'y^2=32*x^6+34*x^5+54*x^4+3*x^3+44*x^2+4*x+32', 'y^2=5*x^6+9*x^5+49*x^4+6*x^3+29*x^2+8*x+5', 'y^2=38*x^6+56*x^5+20*x^4+54*x^3+40*x^2+20*x+52', 'y^2=17*x^6+53*x^5+40*x^4+49*x^3+21*x^2+40*x+45', 'y^2=43*x^6+8*x^5+35*x^4+55*x^3+43*x^2+30*x+19', 'y^2=27*x^6+16*x^5+11*x^4+51*x^3+27*x^2+x+38', 'y^2=18*x^6+12*x^5+x^4+4*x^3+48*x^2+19*x+2', 'y^2=36*x^6+24*x^5+2*x^4+8*x^3+37*x^2+38*x+4', 'y^2=38*x^6+53*x^5+25*x^4+33*x^3+13*x^2+46*x+45', 'y^2=17*x^6+47*x^5+50*x^4+7*x^3+26*x^2+33*x+31', 'y^2=29*x^6+35*x^5+40*x^4+7*x^3+58*x^2+33*x+1', 'y^2=20*x^6+27*x^5+2*x^4+36*x^3+3*x^2+23*x+15', 'y^2=40*x^6+54*x^5+4*x^4+13*x^3+6*x^2+46*x+30', 'y^2=2*x^6+27*x^5+5*x^4+25*x^3+54*x^2+23*x+6', 'y^2=4*x^6+54*x^5+10*x^4+50*x^3+49*x^2+46*x+12', 'y^2=47*x^6+33*x^5+57*x^4+35*x^3+16*x^2+17*x+15', 'y^2=30*x^6+9*x^5+35*x^4+36*x^3+17*x^2+27*x+40', 'y^2=x^6+18*x^5+11*x^4+13*x^3+34*x^2+54*x+21'], 'dim1_distinct': 2, 'dim1_factors': 2, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 22, 'g': 2, 'galois_groups': ['2T1', '2T1'], 'geom_dim1_distinct': 1, 'geom_dim1_factors': 2, 'geom_dim2_distinct': 0, 'geom_dim2_factors': 0, 'geom_dim3_distinct': 0, 'geom_dim3_factors': 0, 'geom_dim4_distinct': 0, 'geom_dim4_factors': 0, 'geom_dim5_distinct': 0, 'geom_dim5_factors': 0, 'geometric_center_dim': 2, 'geometric_extension_degree': 2, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.43.1'], 'geometric_splitting_field': '2.0.43.1', 'geometric_splitting_polynomials': [[11, -1, 1]], 'group_structure_count': 5, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 161, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 161, 'label': '2.59.a_cc', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['2.0.43.1', '2.0.43.1'], 'p': 59, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, 54, 0, 3481], 'poly_str': '1 0 54 0 3481 ', 'primitive_models': [], 'q': 59, 'real_poly': [1, 0, -64], 'simple_distinct': ['1.59.ai', '1.59.i'], 'simple_factors': ['1.59.aiA', '1.59.iA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,-V+1'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.43.1', 'splitting_polynomials': [[11, -1, 1]], 'twist_count': 6, 'twists': [['2.59.aq_ha', '2.3481.ee_opy', 2], ['2.59.q_ha', '2.3481.ee_opy', 2], ['2.59.a_acc', '2.12117361.lzg_dkwgio', 4], ['2.59.ai_f', '2.42180533641.abugoa_bfbxbxnfy', 6], ['2.59.i_f', '2.42180533641.abugoa_bfbxbxnfy', 6]], 'weak_equivalence_count': 30, 'zfv_index': 1024, 'zfv_index_factorization': [[2, 10]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 29584, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-V+1']}
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av_fq_endalg_factors • Show schema
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id: 52193
{'base_label': '2.59.a_cc', 'extension_degree': 1, 'extension_label': '1.59.ai', 'multiplicity': 1}
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id: 52194
{'base_label': '2.59.a_cc', 'extension_degree': 1, 'extension_label': '1.59.i', 'multiplicity': 1}
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id: 52195
{'base_label': '2.59.a_cc', 'extension_degree': 2, 'extension_label': '1.3481.cc', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.43.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.59.ai', 'galois_group': '2T1', 'places': [['27', '1'], ['31', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.43.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.59.i', 'galois_group': '2T1', 'places': [['31', '1'], ['27', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.43.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.3481.cc', 'galois_group': '2T1', 'places': [['27', '1'], ['31', '1']]}
