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av_fq_isog • Show schema
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{'abvar_count': 4044, 'abvar_counts': [4044, 11986416, 42536587536, 146762684362944, 511117209422753124, 1779169095220605993216, 6193393638887428905145044, 21559178441779680406212428544, 75047498505462474256807283133456, 261240334773977850598140400251889776], 'abvar_counts_str': '4044 11986416 42536587536 146762684362944 511117209422753124 1779169095220605993216 6193393638887428905145044 21559178441779680406212428544 75047498505462474256807283133456 261240334773977850598140400251889776 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.365905935355286, 0.967427397978048], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 69, 'curve_counts': [69, 3445, 207108, 12111769, 714924939, 42179862166, 2488654468761, 146830444651249, 8662996043915292, 511116751871201125], 'curve_counts_str': '69 3445 207108 12111769 714924939 42179862166 2488654468761 146830444651249 8662996043915292 511116751871201125 ', 'curves': ['y^2=56*x^6+21*x^5+12*x^4+39*x^3+39*x^2+40*x+20', 'y^2=28*x^6+50*x^5+14*x^4+x^3+6*x^2+57*x+16', 'y^2=43*x^6+25*x^5+53*x^4+57*x^3+42*x^2+56*x+43', 'y^2=26*x^6+37*x^5+57*x^4+8*x^3+8*x^2+53*x+18', 'y^2=48*x^6+49*x^5+3*x^4+40*x^3+11*x^2+40*x+1', 'y^2=54*x^6+40*x^5+5*x^4+28*x^3+35*x^2+2*x+32', 'y^2=33*x^6+47*x^5+33*x^4+48*x^3+57*x^2+54*x', 'y^2=5*x^6+13*x^5+47*x^4+9*x^3+42*x^2+14*x+3', 'y^2=9*x^6+22*x^5+7*x^4+38*x^3+37*x^2+58*x+54', 'y^2=41*x^6+53*x^5+14*x^4+51*x^3+35*x^2+12*x+36', 'y^2=21*x^6+42*x^5+23*x^4+56*x^3+24*x^2+29*x+45', 'y^2=41*x^6+47*x^5+5*x^4+33*x^3+49*x^2+36*x+29', 'y^2=22*x^6+33*x^5+58*x^4+41*x^3+29*x^2+12*x+35', 'y^2=x^6+19*x^5+19*x^4+58*x^3+41*x^2+2*x', 'y^2=51*x^6+29*x^5+17*x^4+17*x^3+21*x^2+53*x+35', 'y^2=35*x^6+50*x^5+35*x^4+29*x^3+44*x^2+21*x+4', 'y^2=42*x^6+48*x^5+53*x^4+50*x^3+30*x^2+27*x+42', 'y^2=39*x^6+9*x^5+49*x^4+44*x^3+44*x^2+4*x+49', 'y^2=54*x^6+57*x^5+22*x^4+9*x^3+43*x^2+53*x+26', 'y^2=20*x^6+42*x^5+46*x^4+38*x^3+45*x^2+27*x+11', 'y^2=7*x^6+50*x^5+32*x^3+15*x^2+9*x+7', 'y^2=24*x^6+34*x^5+44*x^4+41*x^3+4*x^2+29*x+3', 'y^2=6*x^6+41*x^5+17*x^4+3*x^3+50*x^2+28*x+14', 'y^2=29*x^6+12*x^4+24*x^3+13*x^2+26*x+23', 'y^2=30*x^6+12*x^5+6*x^4+18*x^3+5*x^2+7*x+39', 'y^2=3*x^6+9*x^5+48*x^4+28*x^3+8*x^2+32*x+30', 'y^2=3*x^6+23*x^5+17*x^4+33*x^3+50*x^2+29*x+4', 'y^2=56*x^6+36*x^5+23*x^4+28*x^3+38*x^2+54*x+29', 'y^2=28*x^6+32*x^5+16*x^4+29*x^3+2*x^2+30*x', 'y^2=26*x^6+45*x^5+19*x^4+6*x^3+39*x^2+23*x+29', 'y^2=29*x^6+31*x^5+3*x^4+32*x^3+22*x^2+39*x+57', 'y^2=50*x^6+57*x^5+52*x^4+9*x^3+23*x^2+28*x+12', 'y^2=41*x^6+13*x^5+4*x^4+41*x^3+35*x^2+26*x+22', 'y^2=45*x^6+6*x^5+6*x^4+37*x^3+36*x^2+28*x+39', 'y^2=39*x^6+47*x^5+11*x^4+49*x^3+55*x^2+54*x+8', 'y^2=19*x^6+45*x^5+7*x^4+38*x^3+8*x^2+10*x+19', 'y^2=38*x^6+24*x^5+3*x^4+56*x^3+15*x^2+43*x+15', 'y^2=14*x^6+38*x^5+35*x^4+20*x^3+55*x^2+46*x+14', 'y^2=25*x^6+50*x^5+17*x^4+4*x^3+19*x^2+55*x+4', 'y^2=46*x^6+51*x^5+38*x^4+48*x^3+8*x^2+22*x', 'y^2=9*x^6+14*x^5+39*x^4+48*x^3+15*x^2+26*x+57', 'y^2=54*x^6+47*x^5+40*x^4+44*x^3+25*x^2+57*x+47', 'y^2=33*x^6+19*x^5+10*x^4+28*x^3+4*x^2+13*x+56', 'y^2=5*x^6+11*x^5+2*x^4+3*x^3+41*x^2+4*x+22', 'y^2=57*x^6+32*x^5+26*x^4+18*x^3+36*x^2+15*x+27', 'y^2=52*x^6+10*x^5+16*x^4+2*x^3+17*x^2+36*x+56', 'y^2=3*x^6+39*x^5+5*x^4+25*x^3+42*x^2+28*x+47', 'y^2=7*x^6+44*x^5+10*x^4+18*x^3+56*x^2+21', 'y^2=24*x^6+36*x^5+32*x^4+8*x^2+58*x+9', 'y^2=4*x^6+48*x^5+55*x^4+20*x^3+12*x^2+46*x+52', 'y^2=57*x^6+16*x^5+2*x^4+22*x^3+30*x^2+45*x+25', 'y^2=49*x^6+27*x^5+8*x^4+36*x^3+47*x^2+44*x+8'], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 1, 'dim2_factors': 1, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 4, 'g': 2, 'galois_groups': ['4T2'], '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': 3, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.155.1'], 'geometric_splitting_field': '2.0.155.1', 'geometric_splitting_polynomials': [[39, -1, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 52, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 52, 'label': '2.59.j_w', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.216225.3'], 'p': 59, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 12], [1, 3, 2, 12], [1, 13, 2, 12]], 'poly': [1, 9, 22, 531, 3481], 'poly_str': '1 9 22 531 3481 ', 'primitive_models': [], 'principal_polarization_count': 52, 'q': 59, 'real_poly': [1, 9, -96], 'simple_distinct': ['2.59.j_w'], 'simple_factors': ['2.59.j_wA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F-5', '11,-9*F^2+5*F+V+13'], 'size': 72, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.216225.3', 'splitting_polynomials': [[1521, -39, -38, -1, 1]], 'twist_count': 6, 'twists': [['2.59.aj_w', '2.3481.abl_addg', 2], ['2.59.as_hr', '2.205379.com_cnvxu', 3], ['2.59.a_bl', '2.42180533641.abmfia_ynzkgtfy', 6], ['2.59.s_hr', '2.42180533641.abmfia_ynzkgtfy', 6], ['2.59.a_abl', '2.1779197418239532716881.ahbprqzoe_cpqhyjjqbsqpquqg', 12]], 'weak_equivalence_count': 4, 'zfv_index': 22, 'zfv_index_factorization': [[2, 1], [11, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 48, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 484, 'zfv_singular_count': 4, 'zfv_singular_primes': ['2,F-5', '11,-9*F^2+5*F+V+13']}
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av_fq_endalg_factors • Show schema
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id: 47870
{'base_label': '2.59.j_w', 'extension_degree': 1, 'extension_label': '2.59.j_w', 'multiplicity': 1}
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id: 47871
{'base_label': '2.59.j_w', 'extension_degree': 3, 'extension_label': '1.205379.bhg', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.216225.3', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.59.j_w', 'galois_group': '4T2', 'places': [['33', '50', '42', '57'], ['6', '53', '13', '5']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.155.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.205379.bhg', 'galois_group': '2T1', 'places': [['54', '1'], ['4', '1']]}
