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av_fq_isog • Show schema
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{'abvar_count': 5168, 'abvar_counts': [5168, 26708224, 128100378800, 645459145068544, 3255243548357732528, 16409707048703489440000, 82721210695552551368821808, 416997645398647394938737721344, 2102085018129621276168390021393200, 10596610559124641311491431249589270784], 'abvar_counts_str': '5168 26708224 128100378800 645459145068544 3255243548357732528 16409707048703489440000 82721210695552551368821808 416997645398647394938737721344 2102085018129621276168390021393200 10596610559124641311491431249589270784 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.423719104037511, 0.576280895962489], 'center_dim': 4, 'cohen_macaulay_max': 3, 'curve_count': 72, 'curve_counts': [72, 5294, 357912, 25400094, 1804229352, 128100473678, 9095120158392, 645753565751614, 45848500718449032, 3255243545705583854], 'curve_counts_str': '72 5294 357912 25400094 1804229352 128100473678 9095120158392 645753565751614 45848500718449032 3255243545705583854 ', 'curves': ['y^2=46*x^6+36*x^5+48*x^4+8*x^3+44*x^2+47*x+42', 'y^2=38*x^6+39*x^5+52*x^4+56*x^3+24*x^2+45*x+10', 'y^2=43*x^6+4*x^5+57*x^4+69*x^3+36*x^2+66*x+70', 'y^2=59*x^6+45*x^5+55*x^4+45*x^3+55*x^2+45*x+59', 'y^2=58*x^6+31*x^5+30*x^4+31*x^3+30*x^2+31*x+58', 'y^2=16*x^6+57*x^5+55*x^4+19*x^3+52*x+34', 'y^2=41*x^6+44*x^5+30*x^4+62*x^3+9*x+25', 'y^2=50*x^6+56*x^5+70*x^4+42*x^3+25*x^2+44*x+20', 'y^2=2*x^6+56*x^5+36*x^4+16*x^3+50*x^2+23*x+1', 'y^2=14*x^6+37*x^5+39*x^4+41*x^3+66*x^2+19*x+7', 'y^2=17*x^6+44*x^5+8*x^4+61*x^3+59*x^2+28*x+58', 'y^2=21*x^6+36*x^5+19*x^4+69*x^3+49*x^2+13*x+14', 'y^2=32*x^6+66*x^5+47*x^4+61*x^3+21*x^2+48*x+34', 'y^2=11*x^6+36*x^5+45*x^4+x^3+5*x^2+52*x+25', 'y^2=22*x^6+24*x^5+16*x^4+24*x^3+60*x^2+7*x+69', 'y^2=12*x^6+26*x^5+41*x^4+26*x^3+65*x^2+49*x+57', 'y^2=7*x^6+24*x^4+26*x^2+58', 'y^2=66*x^6+18*x^4+55*x^2+60', 'y^2=59*x^6+24*x^5+11*x^4+66*x^3+65*x^2+70*x+70', 'y^2=58*x^6+26*x^5+6*x^4+36*x^3+29*x^2+64*x+64', 'y^2=9*x^6+9*x^5+20*x^4+68*x^3+7*x^2+54*x+13', 'y^2=63*x^6+63*x^5+69*x^4+50*x^3+49*x^2+23*x+20', 'y^2=54*x^6+41*x^5+29*x^4+31*x^3+70*x^2+25*x+21', 'y^2=23*x^6+3*x^5+61*x^4+4*x^3+64*x^2+33*x+5', 'y^2=57*x^6+32*x^5+52*x^4+3*x^3+52*x^2+32*x+57', 'y^2=44*x^6+11*x^5+9*x^4+21*x^3+9*x^2+11*x+44', 'y^2=36*x^6+43*x^5+13*x^4+7*x^3+61*x^2+12*x+54', 'y^2=39*x^6+17*x^5+20*x^4+49*x^3+x^2+13*x+23', 'y^2=31*x^6+36*x^4+39*x^2+54', 'y^2=42*x^6+6*x^4+42*x^2+64', 'y^2=52*x^6+63*x^5+54*x^4+23*x^3+54*x^2+63*x+52', 'y^2=9*x^6+15*x^5+23*x^4+19*x^3+23*x^2+15*x+9', 'y^2=67*x^6+7*x^5+42*x^4+64*x^3+23*x^2+32*x+54', 'y^2=43*x^6+49*x^5+10*x^4+22*x^3+19*x^2+11*x+23', 'y^2=58*x^6+14*x^4+27*x^2+14', 'y^2=15*x^6+28*x^4+54*x^2+33', 'y^2=58*x^6+44*x^5+30*x^4+42*x^3+59*x^2+50*x+49', 'y^2=51*x^6+24*x^5+68*x^4+10*x^3+58*x^2+66*x+59', 'y^2=27*x^6+35*x^5+12*x^4+52*x^3+54*x^2+24*x+42', 'y^2=47*x^6+32*x^5+13*x^4+9*x^3+23*x^2+26*x+10', 'y^2=38*x^6+52*x^5+64*x^4+37*x^3+44*x^2+47*x+12', 'y^2=45*x^6+65*x^5+5*x^4+31*x^3+5*x^2+14*x+67', 'y^2=31*x^6+29*x^5+35*x^4+4*x^3+35*x^2+27*x+43', 'y^2=44*x^6+12*x^5+13*x^4+61*x^3+47*x^2+43*x+53', 'y^2=24*x^6+13*x^5+20*x^4+x^3+45*x^2+17*x+16', 'y^2=2*x^6+61*x^5+12*x^4+23*x^3+37*x^2+34*x+15', 'y^2=14*x^6+x^5+13*x^4+19*x^3+46*x^2+25*x+34', 'y^2=42*x^6+64*x^5+12*x^4+16*x^3+22*x+9', 'y^2=10*x^6+22*x^5+13*x^4+41*x^3+12*x+63', 'y^2=62*x^6+64*x^5+56*x^4+34*x^3+44*x^2+47*x+28', 'y^2=8*x^6+22*x^5+37*x^4+25*x^3+24*x^2+45*x+54', 'y^2=51*x^6+17*x^5+24*x^4+65*x^3+24*x^2+17*x+51', 'y^2=2*x^6+48*x^5+26*x^4+29*x^3+26*x^2+48*x+2', 'y^2=20*x^6+12*x^5+70*x^4+52*x^3+4*x^2+46*x+8', 'y^2=69*x^6+13*x^5+64*x^4+9*x^3+28*x^2+38*x+56', 'y^2=37*x^6+18*x^5+5*x^4+41*x^3+24*x^2+55*x+30', 'y^2=20*x^6+55*x^5+41*x^4+5*x^3+50*x^2+66*x+31', 'y^2=6*x^6+65*x^5+62*x^4+40*x^3+59*x^2+54*x+32', 'y^2=18*x^6+16*x^5+39*x^4+7*x^3+23*x^2+44*x+70', 'y^2=55*x^6+41*x^5+60*x^4+49*x^3+19*x^2+24*x+64', 'y^2=23*x^6+4*x^5+55*x^4+24*x^3+67*x^2+3*x+62', 'y^2=19*x^6+28*x^5+30*x^4+26*x^3+43*x^2+21*x+8', 'y^2=53*x^6+14*x^5+61*x^4+12*x^3+46*x^2+25*x+56', 'y^2=42*x^6+53*x^5+36*x^4+8*x^3+34*x^2+51*x+2', 'y^2=52*x^6+7*x^5+2*x^4+38*x^3+39*x^2+65*x+17', 'y^2=35*x^6+30*x^5+6*x^4+39*x^3+51*x^2+62*x+6', 'y^2=32*x^6+68*x^5+42*x^4+60*x^3+2*x^2+8*x+42', 'y^2=28*x^6+66*x^5+66*x^4+33*x^3+23*x^2+19*x+67', 'y^2=59*x^6+62*x^5+49*x^4+65*x^3+62*x^2+29*x+42', 'y^2=26*x^6+16*x^5+44*x^4+56*x^3+34*x^2+16*x', 'y^2=22*x^6+63*x^5+31*x^4+2*x^3+27*x^2+23*x+42', 'y^2=12*x^6+15*x^5+4*x^4+14*x^3+47*x^2+19*x+10', 'y^2=37*x^6+25*x^5+52*x^4+52*x^3+36*x^2+41*x+68', 'y^2=46*x^6+33*x^5+9*x^4+9*x^3+39*x^2+3*x+50', 'y^2=24*x^6+60*x^5+62*x^4+12*x^3+43*x^2+21*x+70', 'y^2=26*x^6+65*x^5+8*x^4+13*x^3+17*x^2+5*x+64', 'y^2=16*x^6+50*x^5+70*x^4+49*x^3+6*x^2+54*x+36'], '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': 17, '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': ['2.0.67.1'], 'geometric_splitting_field': '2.0.67.1', 'geometric_splitting_polynomials': [[17, -1, 1]], 'group_structure_count': 5, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 77, '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': 77, 'label': '2.71.a_ew', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['2.0.67.1', '2.0.67.1'], 'p': 71, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, 126, 0, 5041], 'poly_str': '1 0 126 0 5041 ', 'primitive_models': [], 'q': 71, 'real_poly': [1, 0, -16], 'simple_distinct': ['1.71.ae', '1.71.e'], 'simple_factors': ['1.71.aeA', '1.71.eA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,-F-1'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.67.1', 'splitting_polynomials': [[17, -1, 1]], 'twist_count': 6, 'twists': [['2.71.ai_gc', '2.5041.js_bmkk', 2], ['2.71.i_gc', '2.5041.js_bmkk', 2], ['2.71.a_aew', '2.25411681.ards_hcrqxi', 4], ['2.71.ae_acd', '2.128100283921.kusi_bhamwccqo', 6], ['2.71.e_acd', '2.128100283921.kusi_bhamwccqo', 6]], 'weak_equivalence_count': 23, 'zfv_index': 256, 'zfv_index_factorization': [[2, 8]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 71824, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-F-1']}
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av_fq_endalg_factors • Show schema
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id: 76294
{'base_label': '2.71.a_ew', 'extension_degree': 1, 'extension_label': '1.71.ae', 'multiplicity': 1}
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id: 76295
{'base_label': '2.71.a_ew', 'extension_degree': 1, 'extension_label': '1.71.e', 'multiplicity': 1}
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id: 76296
{'base_label': '2.71.a_ew', 'extension_degree': 2, 'extension_label': '1.5041.ew', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.67.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.71.ae', 'galois_group': '2T1', 'places': [['34', '1'], ['36', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.67.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.71.e', 'galois_group': '2T1', 'places': [['36', '1'], ['34', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.67.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.5041.ew', 'galois_group': '2T1', 'places': [['34', '1'], ['36', '1']]}
