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av_fq_isog • Show schema
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{'abvar_count': 6231, 'abvar_counts': [6231, 38825361, 243087660144, 1518071964528249, 9468276080525965551, 59091610514284846100736, 368790120348696390208186911, 2301618913850933624280563834409, 14364405059580771441620803333181424, 89648251937060140491151279920838733601], 'abvar_counts_str': '6231 38825361 243087660144 1518071964528249 9468276080525965551 59091610514284846100736 368790120348696390208186911 2301618913850933624280563834409 14364405059580771441620803333181424 89648251937060140491151279920838733601 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.238910621904571, 0.761089378095429], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 80, 'curve_counts': [80, 6220, 493040, 38974804, 3077056400, 243087864766, 19203908986160, 1517108660118244, 119851595982618320, 9468276078425083900], 'curve_counts_str': '80 6220 493040 38974804 3077056400 243087864766 19203908986160 1517108660118244 119851595982618320 9468276078425083900 ', 'curves': ['y^2=54*x^6+76*x^5+45*x^4+52*x^3+24*x^2+49*x+49', 'y^2=4*x^6+70*x^5+56*x^4+77*x^3+72*x^2+68*x+68', 'y^2=11*x^6+16*x^4+57*x^3+22*x^2+62*x+71', 'y^2=33*x^6+48*x^4+13*x^3+66*x^2+28*x+55', 'y^2=4*x^6+63*x^5+41*x^4+19*x^3+19*x^2+75*x+39', 'y^2=20*x^6+24*x^5+67*x^4+73*x^3+62*x^2+35*x+49', 'y^2=60*x^6+72*x^5+43*x^4+61*x^3+28*x^2+26*x+68', 'y^2=64*x^6+41*x^5+34*x^4+65*x^3+37*x^2+73*x+50', 'y^2=34*x^6+44*x^5+23*x^4+37*x^3+32*x^2+61*x+71', 'y^2=24*x^6+57*x^5+17*x^4+70*x^3+17*x^2+76*x+50', 'y^2=72*x^6+13*x^5+51*x^4+52*x^3+51*x^2+70*x+71', 'y^2=49*x^6+46*x^5+75*x^4+66*x^2+35*x+10', 'y^2=68*x^6+59*x^5+67*x^4+40*x^2+26*x+30', 'y^2=38*x^6+55*x^5+7*x^4+19*x^3+18*x+37', 'y^2=35*x^6+7*x^5+21*x^4+57*x^3+54*x+32', 'y^2=67*x^6+17*x^5+54*x^4+58*x^3+35*x^2+7*x+38', 'y^2=43*x^6+51*x^5+4*x^4+16*x^3+26*x^2+21*x+35', 'y^2=69*x^6+13*x^5+3*x^4+37*x^3+57*x^2+17*x+11', 'y^2=49*x^6+39*x^5+9*x^4+32*x^3+13*x^2+51*x+33', 'y^2=75*x^6+55*x^5+34*x^4+27*x^3+75*x^2+54*x+2', 'y^2=67*x^6+7*x^5+23*x^4+2*x^3+67*x^2+4*x+6', 'y^2=45*x^6+17*x^5+24*x^4+43*x^3+27*x^2+6*x+21', 'y^2=56*x^6+51*x^5+72*x^4+50*x^3+2*x^2+18*x+63', 'y^2=66*x^6+35*x^5+73*x^4+73*x^3+41*x^2+62*x+76', 'y^2=40*x^6+26*x^5+61*x^4+61*x^3+44*x^2+28*x+70', 'y^2=9*x^6+39*x^5+50*x^4+36*x^3+2*x^2+x+9', 'y^2=27*x^6+38*x^5+71*x^4+29*x^3+6*x^2+3*x+27', 'y^2=65*x^6+65*x^5+26*x^4+33*x^3+21*x^2+73*x+28', 'y^2=37*x^6+37*x^5+78*x^4+20*x^3+63*x^2+61*x+5', 'y^2=30*x^6+25*x^4+57*x^3+73*x^2+76*x+44', 'y^2=11*x^6+75*x^4+13*x^3+61*x^2+70*x+53', 'y^2=60*x^6+16*x^5+2*x^4+7*x^3+55*x^2+2*x+28', 'y^2=22*x^6+48*x^5+6*x^4+21*x^3+7*x^2+6*x+5', 'y^2=x^6+68*x^3+12', 'y^2=78*x^6+52*x^5+74*x^4+39*x^3+25*x^2+39*x+11', 'y^2=76*x^6+77*x^5+64*x^4+38*x^3+75*x^2+38*x+33', 'y^2=39*x^6+38*x^5+65*x^4+40*x^3+19*x^2+45*x+53', 'y^2=38*x^6+35*x^5+37*x^4+41*x^3+57*x^2+56*x+1', 'y^2=50*x^6+9*x^5+14*x^4+22*x^3+34*x^2+46*x+8', 'y^2=71*x^6+27*x^5+42*x^4+66*x^3+23*x^2+59*x+24', 'y^2=70*x^6+46*x^5+60*x^4+29*x^3+60*x^2+55*x+62', 'y^2=52*x^6+59*x^5+22*x^4+8*x^3+22*x^2+7*x+28', 'y^2=76*x^6+65*x^5+19*x^4+5*x^3+3*x^2+27*x+58', 'y^2=70*x^6+37*x^5+57*x^4+15*x^3+9*x^2+2*x+16', 'y^2=68*x^6+69*x^5+52*x^4+40*x^3+39*x^2+65*x+16', 'y^2=46*x^6+49*x^5+77*x^4+41*x^3+38*x^2+37*x+48', 'y^2=50*x^6+29*x^5+50*x^4+78*x^3+3*x^2+33*x+47', 'y^2=72*x^6+72*x^5+21*x^4+24*x^3+62*x^2+28*x+13', 'y^2=58*x^6+58*x^5+63*x^4+72*x^3+28*x^2+5*x+39', 'y^2=50*x^6+76*x^5+14*x^4+63*x^3+37*x^2+21*x+23', 'y^2=71*x^6+70*x^5+42*x^4+31*x^3+32*x^2+63*x+69', 'y^2=73*x^6+37*x^5+56*x^4+31*x^3+51*x^2+29*x+60', 'y^2=57*x^6+7*x^5+23*x^4+2*x^3+19*x^2+76*x+45', 'y^2=13*x^6+21*x^5+69*x^4+6*x^3+57*x^2+70*x+56', 'y^2=72*x^6+45*x^5+67*x^4+43*x^3+55*x^2+59*x+35', 'y^2=58*x^6+56*x^5+43*x^4+50*x^3+7*x^2+19*x+26', 'y^2=21*x^6+26*x^5+19*x^4+25*x^3+33*x^2+14*x+69', 'y^2=63*x^6+78*x^5+57*x^4+75*x^3+20*x^2+42*x+49', 'y^2=20*x^6+41*x^5+47*x^4+12*x^3+26*x^2+11*x+32', 'y^2=60*x^6+44*x^5+62*x^4+36*x^3+78*x^2+33*x+17', 'y^2=42*x^6+45*x^5+9*x^4+10*x^3+58*x^2+8*x+37', 'y^2=4*x^6+47*x^5+78*x^4+6*x^3+43*x^2+33*x+69', 'y^2=12*x^6+62*x^5+76*x^4+18*x^3+50*x^2+20*x+49', 'y^2=16*x^6+14*x^5+33*x^4+25*x^3+32*x^2+35*x+34', 'y^2=6*x^6+29*x^5+66*x^4+73*x^3+42*x^2+47*x+26', 'y^2=4*x^6+41*x^5+53*x^4+59*x^3+69*x^2+7*x+72', 'y^2=12*x^6+44*x^5+x^4+19*x^3+49*x^2+21*x+58', 'y^2=x^6+72*x^5+33*x^4+14*x^3+36*x^2+6*x+39', 'y^2=3*x^6+58*x^5+20*x^4+42*x^3+29*x^2+18*x+38', 'y^2=65*x^6+10*x^4+21*x^3+47*x^2+41', 'y^2=10*x^6+20*x^5+77*x^4+77*x^3+26*x^2+62*x+71', 'y^2=59*x^6+64*x^5+29*x^4+25*x^3+70*x^2+46*x+26', 'y^2=19*x^6+34*x^5+8*x^4+75*x^3+52*x^2+59*x+78', 'y^2=47*x^6+44*x^5+52*x^4+45*x^3+45*x^2+70*x+31', 'y^2=62*x^6+53*x^5+77*x^4+56*x^3+56*x^2+52*x+14', 'y^2=47*x^6+48*x^5+51*x^4+10*x^3+x^2+9*x+42', 'y^2=62*x^6+65*x^5+74*x^4+30*x^3+3*x^2+27*x+47', 'y^2=65*x^6+8*x^5+44*x^4+28*x^3+48*x^2+x+50', 'y^2=37*x^6+24*x^5+53*x^4+5*x^3+65*x^2+3*x+71', 'y^2=77*x^6+27*x^5+27*x^4+33*x^3+62*x^2+18*x+33', 'y^2=73*x^6+2*x^5+2*x^4+20*x^3+28*x^2+54*x+20', 'y^2=20*x^6+38*x^5+48*x^3+4*x+49', 'y^2=60*x^6+35*x^5+65*x^3+12*x+68', 'y^2=45*x^6+30*x^5+7*x^4+48*x^3+75*x^2+20*x+65', 'y^2=56*x^6+11*x^5+21*x^4+65*x^3+67*x^2+60*x+37', 'y^2=40*x^6+54*x^5+26*x^4+7*x^3+39*x^2+21*x+52', 'y^2=41*x^6+4*x^5+78*x^4+21*x^3+38*x^2+63*x+77', 'y^2=35*x^6+65*x^5+8*x^4+42*x^3+5*x^2+3*x+33', 'y^2=26*x^6+37*x^5+24*x^4+47*x^3+15*x^2+9*x+20', 'y^2=35*x^6+21*x^5+59*x^4+55*x^3+50*x^2+16*x+61', 'y^2=26*x^6+63*x^5+19*x^4+7*x^3+71*x^2+48*x+25', 'y^2=22*x^6+13*x^5+3*x^4+71*x^3+56*x^2+71*x+10', 'y^2=66*x^6+39*x^5+9*x^4+55*x^3+10*x^2+55*x+30', 'y^2=35*x^6+59*x^5+53*x^4+36*x^3+7*x^2+55*x+16', 'y^2=26*x^6+19*x^5+x^4+29*x^3+21*x^2+7*x+48', 'y^2=3*x^6+54*x^5+18*x^4+39*x^3+69*x^2+63*x+24', 'y^2=9*x^6+4*x^5+54*x^4+38*x^3+49*x^2+31*x+72', 'y^2=29*x^6+37*x^5+6*x^4+7*x^3+57*x^2+41*x+48', 'y^2=8*x^6+32*x^5+18*x^4+21*x^3+13*x^2+44*x+65', 'y^2=65*x^6+55*x^5+63*x^4+53*x^3+7*x^2+x+35', 'y^2=37*x^6+7*x^5+31*x^4+x^3+21*x^2+3*x+26', 'y^2=66*x^6+36*x^5+56*x^4+23*x^3+76*x^2+3*x+33', 'y^2=40*x^6+29*x^5+10*x^4+69*x^3+70*x^2+9*x+20', 'y^2=16*x^6+3*x^5+16*x^4+65*x^3+42*x^2+54*x+45', 'y^2=48*x^6+9*x^5+48*x^4+37*x^3+47*x^2+4*x+56', 'y^2=78*x^6+3*x^5+17*x^4+27*x^3+14*x+54', 'y^2=76*x^6+9*x^5+51*x^4+2*x^3+42*x+4', 'y^2=50*x^6+51*x^5+9*x^4+20*x^3+51*x^2+37*x+11', 'y^2=71*x^6+74*x^5+27*x^4+60*x^3+74*x^2+32*x+33', 'y^2=74*x^6+24*x^5+66*x^4+35*x^3+73*x^2+42*x+54', 'y^2=64*x^6+72*x^5+40*x^4+26*x^3+61*x^2+47*x+4', 'y^2=50*x^6+4*x^5+28*x^4+29*x^3+x^2+22*x+10', 'y^2=71*x^6+12*x^5+5*x^4+8*x^3+3*x^2+66*x+30', 'y^2=5*x^6+16*x^5+27*x^4+31*x^3+38*x^2+2*x+6', 'y^2=38*x^6+4*x^5+11*x^4+42*x^3+17*x^2+46*x+66', 'y^2=35*x^6+12*x^5+33*x^4+47*x^3+51*x^2+59*x+40', 'y^2=71*x^6+5*x^5+23*x^4+21*x^3+35*x^2+18*x+18', 'y^2=38*x^6+19*x^5+30*x^4+51*x^3+9*x^2+42*x+41', 'y^2=17*x^6+10*x^5+31*x^4+2*x^3+69*x^2+19*x+65', 'y^2=51*x^6+30*x^5+14*x^4+6*x^3+49*x^2+57*x+37', 'y^2=67*x^6+50*x^5+67*x^4+71*x^3+23*x^2+22*x+36', 'y^2=43*x^6+71*x^5+43*x^4+55*x^3+69*x^2+66*x+29', 'y^2=12*x^6+21*x^5+55*x^4+78*x^3+54*x^2+52*x+46', 'y^2=22*x^6+54*x^5+18*x^4+53*x^3+43*x^2+42*x+46', 'y^2=66*x^6+4*x^5+54*x^4+x^3+50*x^2+47*x+59', 'y^2=x^6+x^3+78', 'y^2=20*x^6+37*x^5+34*x^4+50*x^3+22*x^2+15*x+46', 'y^2=60*x^6+32*x^5+23*x^4+71*x^3+66*x^2+45*x+59', 'y^2=61*x^6+65*x^5+54*x^4+23*x^3+40*x^2+15*x+75', 'y^2=25*x^6+37*x^5+4*x^4+69*x^3+41*x^2+45*x+67', 'y^2=29*x^6+66*x^5+54*x^4+56*x^3+70*x^2+15*x+9', 'y^2=8*x^6+40*x^5+4*x^4+10*x^3+52*x^2+45*x+27'], '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': 32, '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': ['2.0.3.1'], 'geometric_splitting_field': '2.0.3.1', 'geometric_splitting_polynomials': [[1, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 132, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 132, 'label': '2.79.a_al', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['2.0.3.1', '2.0.3.1'], 'p': 79, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, -11, 0, 6241], 'poly_str': '1 0 -11 0 6241 ', 'primitive_models': [], 'q': 79, 'real_poly': [1, 0, -169], 'simple_distinct': ['1.79.an', '1.79.n'], 'simple_factors': ['1.79.anA', '1.79.nA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,F^2-9*F+73', '7,F+4*V-22', '13,74*F-5*V+31', '13,4*V+20', '7,9*F-15'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.3.1', 'splitting_polynomials': [[1, -1, 1]], 'twist_count': 24, 'twists': [['2.79.aba_mp', '2.6241.aw_sqt', 2], ['2.79.ba_mp', '2.6241.aw_sqt', 2], ['2.79.abe_op', '2.493039.a_lqsc', 3], ['2.79.av_is', '2.493039.a_lqsc', 3], ['2.79.aj_ec', '2.493039.a_lqsc', 3], ['2.79.a_afb', '2.493039.a_lqsc', 3], ['2.79.a_fm', '2.493039.a_lqsc', 3], ['2.79.j_ec', '2.493039.a_lqsc', 3], ['2.79.v_is', '2.493039.a_lqsc', 3], ['2.79.be_op', '2.493039.a_lqsc', 3], ['2.79.a_l', '2.38950081.bkow_tkvoat', 4], ['2.79.abi_rf', '2.243087455521.xhke_cntjcjmeg', 6], ['2.79.ar_ic', '2.243087455521.xhke_cntjcjmeg', 6], ['2.79.an_dm', '2.243087455521.xhke_cntjcjmeg', 6], ['2.79.ai_gs', '2.243087455521.xhke_cntjcjmeg', 6], ['2.79.ae_acl', '2.243087455521.xhke_cntjcjmeg', 6], ['2.79.e_acl', '2.243087455521.xhke_cntjcjmeg', 6], ['2.79.i_gs', '2.243087455521.xhke_cntjcjmeg', 6], ['2.79.n_dm', '2.243087455521.xhke_cntjcjmeg', 6], ['2.79.r_ic', '2.243087455521.xhke_cntjcjmeg', 6], ['2.79.bi_rf', '2.243087455521.xhke_cntjcjmeg', 6], ['2.79.a_afm', '2.59091511031674153381441.egqodavfw_hgecurmnzcdnziaig', 12], ['2.79.a_fb', '2.59091511031674153381441.egqodavfw_hgecurmnzcdnziaig', 12]], 'weak_equivalence_count': 32, 'zfv_index': 33124, 'zfv_index_factorization': [[2, 2], [7, 2], [13, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 21609, 'zfv_singular_count': 10, 'zfv_singular_primes': ['2,F^2-9*F+73', '7,F+4*V-22', '13,74*F-5*V+31', '13,4*V+20', '7,9*F-15']}
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av_fq_endalg_factors • Show schema
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id: 92219
{'base_label': '2.79.a_al', 'extension_degree': 1, 'extension_label': '1.79.an', 'multiplicity': 1}
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id: 92220
{'base_label': '2.79.a_al', 'extension_degree': 1, 'extension_label': '1.79.n', 'multiplicity': 1}
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id: 92221
{'base_label': '2.79.a_al', 'extension_degree': 2, 'extension_label': '1.6241.al', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.79.an', 'galois_group': '2T1', 'places': [['55', '1'], ['23', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.79.n', 'galois_group': '2T1', 'places': [['23', '1'], ['55', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.6241.al', 'galois_group': '2T1', 'places': [['55', '1'], ['23', '1']]}
