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av_fq_isog • Show schema
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{'abvar_count': 1396, 'abvar_counts': [1396, 2769664, 4679107216, 7978504612864, 13422042056685076, 22562250720688537600, 37929091847410326707476, 63759027042012462991847424, 107178910088031659300048772496, 180167780227118177677992753289984], 'abvar_counts_str': '1396 2769664 4679107216 7978504612864 13422042056685076 22562250720688537600 37929091847410326707476 63759027042012462991847424 107178910088031659300048772496 180167780227118177677992753289984 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.0174146042242129, 0.649252062442454], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 35, 'curve_counts': [35, 1649, 67886, 2823489, 115850875, 4749843278, 194753578915, 7984924744129, 327381870616766, 13422659106816929], 'curve_counts_str': '35 1649 67886 2823489 115850875 4749843278 194753578915 7984924744129 327381870616766 13422659106816929 ', 'curves': ['y^2=25*x^6+23*x^5+19*x^4+9*x^3+14*x^2+31*x+22', 'y^2=18*x^6+39*x^5+31*x^4+17*x^3+6*x^2+39*x+31', 'y^2=23*x^6+7*x^5+35*x^4+36*x^3+5*x^2+25*x+4', 'y^2=2*x^6+9*x^5+12*x^4+28*x^3+35*x^2+37*x+9', 'y^2=x^6+29*x^5+39*x^4+30*x^3+14*x^2+38*x+24', 'y^2=19*x^6+4*x^5+3*x^4+35*x^3+2*x^2+17*x+11', 'y^2=22*x^6+34*x^5+31*x^4+14*x^3+38*x^2+39*x+1', 'y^2=34*x^5+37*x^4+16*x^3+30*x^2+8*x+5', 'y^2=8*x^6+x^5+18*x^4+3*x^2+2*x+6', 'y^2=35*x^6+17*x^5+29*x^4+16*x^3+2*x^2+15*x+12'], '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': ['2.0.115.1'], 'geometric_splitting_field': '2.0.115.1', 'geometric_splitting_polynomials': [[29, -1, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 10, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 10, 'label': '2.41.ah_i', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['4.0.119025.3'], 'p': 41, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 2, 1, 2], [1, 7, 1, 4]], 'poly': [1, -7, 8, -287, 1681], 'poly_str': '1 -7 8 -287 1681 ', 'primitive_models': [], 'principal_polarization_count': 10, 'q': 41, 'real_poly': [1, -7, -74], 'simple_distinct': ['2.41.ah_i'], 'simple_factors': ['2.41.ah_iA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-F^2-F+4'], 'size': 16, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.119025.3', 'splitting_polynomials': [[841, -29, -28, -1, 1]], 'twist_count': 6, 'twists': [['2.41.h_i', '2.1681.abh_awu', 2], ['2.41.o_fb', '2.68921.abnw_xcvu', 3], ['2.41.ao_fb', '2.4750104241.aowbc_dhwohndm', 6], ['2.41.a_bh', '2.4750104241.aowbc_dhwohndm', 6], ['2.41.a_abh', '2.22563490300366186081.abwstkkxg_bpaiiduwrdndjfy', 12]], 'weak_equivalence_count': 4, 'zfv_index': 8, 'zfv_index_factorization': [[2, 3]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 8, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 64, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-F^2-F+4']}
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av_fq_endalg_factors • Show schema
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id: 28870
{'base_label': '2.41.ah_i', 'extension_degree': 1, 'extension_label': '2.41.ah_i', 'multiplicity': 1}
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id: 28871
{'base_label': '2.41.ah_i', 'extension_degree': 3, 'extension_label': '1.68921.aty', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.119025.3', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.41.ah_i', 'galois_group': '4T2', 'places': [['20', '11', '28', '1'], ['22', '35', '39', '38']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.115.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.68921.aty', 'galois_group': '2T1', 'places': [['3', '1'], ['37', '1']]}
