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av_fq_isog • Show schema
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{'abvar_count': 3400, 'abvar_counts': [3400, 7888000, 22327232200, 62220544000000, 174873691366837000, 491258904300188752000, 1379947691223203676641800, 3876270248074620801024000000, 10888439231554771384364125222600, 30585627290848204653182484869200000], 'abvar_counts_str': '3400 7888000 22327232200 62220544000000 174873691366837000 491258904300188752000 1379947691223203676641800 3876270248074620801024000000 10888439231554771384364125222600 30585627290848204653182484869200000 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.411414467217095, 0.911414467217095], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 64, 'curve_counts': [64, 2810, 149968, 7885518, 418162544, 22164361130, 1174712356448, 62259709652638, 3299763431115424, 174887470365513050], 'curve_counts_str': '64 2810 149968 7885518 418162544 22164361130 1174712356448 62259709652638 3299763431115424 174887470365513050 ', 'curves': ['y^2=39*x^6+34*x^5+19*x^4+6*x^3+19*x^2+34*x+39', 'y^2=13*x^6+27*x^5+7*x^4+48*x^3+41*x^2+9*x+41', 'y^2=12*x^6+27*x^5+43*x^4+23*x^3+2*x^2+45*x+38', 'y^2=28*x^6+8*x^5+2*x^4+49*x^3+17*x^2+51*x+17', 'y^2=16*x^6+46*x^5+5*x^4+6*x^3+47*x^2+42*x+16', 'y^2=34*x^6+35*x^5+21*x^4+25*x^3+14*x^2+39*x+7', 'y^2=33*x^6+4*x^5+33*x^4+30*x^3+34*x^2+26*x+28', 'y^2=20*x^6+35*x^5+4*x^4+49*x^3+49*x^2+20*x+33', 'y^2=14*x^6+5*x^5+4*x^4+18*x^3+48*x^2+51*x+48', 'y^2=40*x^6+38*x^5+45*x^4+13*x^3+29*x^2+26*x', 'y^2=30*x^6+40*x^5+36*x^4+4*x^3+19*x^2+42*x+12', 'y^2=31*x^6+15*x^4+3*x^3+31*x^2+29*x+37', 'y^2=44*x^6+10*x^5+8*x^4+8*x^2+43*x+44', 'y^2=43*x^6+38*x^5+52*x^4+12*x^3+15*x^2+36*x+4', 'y^2=29*x^6+51*x^5+23*x^4+43*x^3+6*x^2+5*x+49', 'y^2=14*x^6+41*x^5+30*x^4+44*x^3+5*x^2+7*x+52', 'y^2=30*x^6+41*x^5+22*x^4+43*x^3+50*x^2+6*x+8', 'y^2=18*x^6+27*x^5+10*x^4+48*x^3+10*x^2+40*x+16', 'y^2=33*x^6+47*x^5+16*x^4+25*x^3+6*x^2+15*x+23', 'y^2=27*x^6+23*x^5+51*x^4+39*x^3+51*x^2+23*x+27', 'y^2=51*x^6+24*x^5+40*x^4+40*x^2+24*x+51', 'y^2=49*x^6+4*x^5+41*x^4+3*x^3+37*x^2+26*x+43', 'y^2=15*x^6+37*x^5+30*x^4+42*x^3+18*x^2+35*x+15', 'y^2=29*x^6+34*x^4+51*x^3+13*x^2+4*x+33', 'y^2=19*x^6+16*x^5+15*x^4+9*x^3+21*x^2+21*x+46', 'y^2=47*x^6+18*x^5+6*x^4+43*x^3+30*x^2+x+50', 'y^2=13*x^6+15*x^5+6*x^4+34*x^3+27*x^2+14*x+40', 'y^2=7*x^6+36*x^5+4*x^4+46*x^3+32*x^2+34*x+37', 'y^2=49*x^6+40*x^5+25*x^4+18*x^3+43*x^2+24*x+19', 'y^2=15*x^6+49*x^5+17*x^4+x^3+7*x^2+33*x+22', 'y^2=41*x^6+4*x^5+39*x^4+7*x^3+3*x^2+2*x+12', 'y^2=46*x^6+49*x^5+9*x^4+26*x^3+45*x^2+8*x+19', 'y^2=6*x^6+44*x^5+24*x^4+39*x^3+5*x^2+4*x+41', 'y^2=13*x^6+5*x^5+15*x^4+46*x^3+37*x^2+12*x+30', 'y^2=49*x^6+24*x^5+47*x^4+18*x^3+47*x^2+24*x+49', 'y^2=8*x^6+4*x^5+31*x^4+34*x^3+15*x^2+7*x+29', 'y^2=40*x^6+24*x^5+18*x^4+20*x^3+47*x^2+10*x+1', 'y^2=47*x^6+32*x^5+40*x^4+19*x^3+35*x^2+10*x+21', 'y^2=39*x^6+33*x^5+31*x^4+14*x^3+43*x^2+30*x+21', 'y^2=16*x^6+38*x^5+37*x^4+28*x^3+30*x^2+x+26', 'y^2=47*x^6+41*x^5+42*x^4+4*x^3+21*x^2+25*x+25', 'y^2=40*x^6+3*x^5+46*x^4+52*x^3+51*x^2+8*x+12', 'y^2=4*x^6+8*x^5+49*x^4+21*x^3+26*x^2+20*x', 'y^2=4*x^6+35*x^5+46*x^4+43*x^3+11*x^2+41*x+16', 'y^2=32*x^6+29*x^5+17*x^4+51*x^3+29*x^2+26*x+19', 'y^2=3*x^6+11*x^5+52*x^4+29*x^3+39*x^2+21*x+42', 'y^2=52*x^6+37*x^5+2*x^4+29*x^3+x^2+15*x+42', 'y^2=35*x^6+44*x^5+46*x^4+18*x^3+x^2+11*x+29', 'y^2=35*x^6+16*x^5+52*x^4+42*x^3+16*x^2+12*x+39', 'y^2=48*x^6+x^5+49*x^4+29*x^3+16*x^2+42*x+38', 'y^2=31*x^6+37*x^5+35*x^4+23*x^3+35*x^2+37*x+31', 'y^2=13*x^6+35*x^5+11*x^4+20*x^3+48*x^2+29*x+42', 'y^2=31*x^6+12*x^5+33*x^4+x^3+8*x^2+45*x+46', 'y^2=47*x^6+47*x^5+5*x^4+7*x^3+22*x^2+11*x+13', 'y^2=23*x^6+4*x^5+39*x^4+41*x^3+45*x^2+52*x+19', 'y^2=19*x^6+48*x^5+30*x^4+45*x^3+36*x^2+44*x+41', 'y^2=x^6+9*x^5+6*x^4+13*x^3+37*x^2+33*x+36', 'y^2=12*x^6+14*x^5+43*x^4+50*x^3+52*x^2+27*x+9', 'y^2=52*x^6+42*x^5+21*x^4+38*x^3+36*x^2+29*x+41', 'y^2=40*x^6+50*x^5+27*x^4+27*x^3+46*x^2+49*x+37', 'y^2=4*x^6+4*x^5+29*x^4+38*x^3+30*x^2+15*x+36', 'y^2=25*x^6+52*x^5+51*x^4+39*x^2+21*x+11', 'y^2=37*x^6+20*x^5+35*x^4+31*x^3+5*x^2+37*x+32', 'y^2=4*x^6+42*x^5+48*x^4+6*x^3+7*x^2+52*x+10', 'y^2=40*x^6+10*x^5+31*x^4+38*x^3+32*x^2+18*x+45', 'y^2=16*x^6+17*x^5+20*x^4+42*x^3+31*x^2+14*x+26', 'y^2=48*x^6+3*x^5+42*x^4+41*x^3+11*x^2+36*x+9', 'y^2=24*x^6+21*x^5+41*x^4+49*x^3+48*x^2+45*x+5', 'y^2=40*x^6+28*x^5+31*x^4+12*x^3+28*x^2+42*x+28', 'y^2=23*x^6+45*x^5+7*x^4+7*x^2+8*x+23', 'y^2=36*x^6+3*x^5+19*x^4+37*x^3+38*x^2+43*x+7', 'y^2=37*x^6+20*x^5+39*x^4+34*x^3+39*x^2+20*x+37', 'y^2=17*x^6+22*x^5+44*x^4+45*x^3+44*x^2+22*x+17', 'y^2=17*x^6+22*x^5+28*x^4+25*x^3+10*x^2+19*x+49', 'y^2=32*x^6+18*x^5+28*x^4+34*x^3+9*x^2+48*x+24', 'y^2=52*x^6+12*x^5+35*x^4+3*x^3+33*x^2+33*x+41', 'y^2=27*x^6+5*x^5+33*x^4+15*x^2+3*x+47', 'y^2=50*x^6+15*x^5+22*x^4+23*x^3+x^2+7*x+21', 'y^2=28*x^5+51*x^4+31*x^3+10*x^2+21*x+9', 'y^2=11*x^6+40*x^5+17*x^4+43*x^3+22*x^2+47*x+40', 'y^2=36*x^6+44*x^5+48*x^4+48*x^2+9*x+36', 'y^2=8*x^6+16*x^5+36*x^4+48*x^3+38*x^2+36*x+31', 'y^2=3*x^6+47*x^5+24*x^4+24*x^3+43*x^2+10*x+27', 'y^2=13*x^6+14*x^5+19*x^4+30*x^3+45*x^2+16*x+30', 'y^2=32*x^6+30*x^5+52*x^4+12*x^3+48*x^2+17*x+45', 'y^2=16*x^6+42*x^5+6*x^4+19*x^3+34*x^2+11*x+31', 'y^2=26*x^6+38*x^5+18*x^4+30*x^3+10*x^2+27*x+52', 'y^2=25*x^6+44*x^5+17*x^4+41*x^3+15*x^2+15*x+47', 'y^2=17*x^6+28*x^5+x^4+48*x^3+26*x^2+36*x+49', 'y^2=30*x^6+40*x^5+3*x^4+23*x^3+52*x^2+41*x+11', 'y^2=17*x^6+44*x^5+16*x^4+14*x^3+32*x^2+38*x+27', 'y^2=31*x^6+26*x^5+50*x^4+32*x^3+35*x^2+21*x+42', 'y^2=48*x^6+14*x^5+26*x^4+3*x^3+7*x^2+25*x', 'y^2=15*x^6+47*x^5+23*x^4+5*x^3+21*x^2+26*x+25', 'y^2=21*x^6+41*x^5+23*x^4+52*x^3+42*x^2+47*x+10', 'y^2=20*x^6+43*x^5+43*x^4+4*x^3+20*x^2+7*x+27', 'y^2=44*x^6+41*x^5+15*x^4+40*x^3+2*x^2+46*x+19', 'y^2=17*x^6+12*x^5+38*x^4+31*x^3+x^2+8*x+1', 'y^2=43*x^6+24*x^5+41*x^4+34*x^3+29*x^2+43*x+27', 'y^2=34*x^6+34*x^5+x^4+7*x^3+50*x^2+40*x+51', 'y^2=43*x^6+39*x^4+23*x^3+36*x^2+12*x+52', 'y^2=30*x^6+27*x^5+16*x^4+46*x^2+40*x+28', 'y^2=29*x^6+39*x^5+16*x^4+29*x^3+32*x^2+24*x+28', 'y^2=39*x^6+24*x^5+18*x^4+49*x^3+10*x^2+3*x+10', 'y^2=6*x^6+44*x^5+31*x^4+x^3+30*x^2+35*x+22', 'y^2=11*x^6+49*x^5+42*x^4+52*x^3+37*x^2+51*x+40', 'y^2=24*x^5+33*x^4+39*x^3+24*x^2+43*x+11', 'y^2=50*x^6+43*x^5+x^4+18*x^3+20*x^2+42*x+23', 'y^2=38*x^6+29*x^5+18*x^4+17*x^3+28*x^2+32*x+7', 'y^2=24*x^6+8*x^5+10*x^4+35*x^3+38*x^2+8*x+29', 'y^2=23*x^6+45*x^5+52*x^4+19*x^3+20*x^2+2*x+52', 'y^2=46*x^6+21*x^5+17*x^4+30*x^3+17*x^2+21*x+46', 'y^2=34*x^6+52*x^5+45*x^4+42*x^3+8*x^2+43*x', 'y^2=51*x^6+23*x^5+36*x^4+50*x^3+24*x^2+39*x+11', 'y^2=38*x^6+27*x^4+34*x^3+17*x^2+23*x+20', 'y^2=42*x^6+21*x^5+49*x^4+28*x^3+2*x^2+20*x+29', 'y^2=32*x^6+9*x^5+4*x^4+46*x^3+12*x^2+32*x+44', 'y^2=44*x^6+4*x^5+26*x^4+21*x^3+38*x^2+16*x+35', 'y^2=46*x^6+44*x^5+19*x^4+17*x^3+19*x^2+33*x+11', 'y^2=33*x^6+3*x^5+17*x^4+3*x^3+37*x^2+29*x+22', 'y^2=49*x^6+48*x^5+7*x^4+39*x^3+42*x^2+14*x+22', 'y^2=19*x^6+32*x^5+29*x^3+52*x^2+5*x+23', 'y^2=5*x^6+30*x^5+28*x^4+14*x^3+12*x^2+44*x+40', 'y^2=20*x^6+38*x^5+37*x^4+35*x^3+28*x^2+46*x+10', 'y^2=44*x^6+33*x^5+16*x^4+28*x^3+44*x^2+20*x+18', 'y^2=5*x^6+24*x^5+44*x^4+7*x^3+28*x^2+37*x+16', 'y^2=48*x^6+4*x^5+51*x^4+44*x^3+20*x^2+42*x+48', 'y^2=23*x^6+12*x^5+8*x^4+52*x^3+3*x^2+49*x+32', 'y^2=25*x^6+9*x^5+50*x^4+3*x^3+31*x^2+15*x+37', 'y^2=38*x^6+33*x^4+47*x^3+24*x^2+31*x+27', 'y^2=3*x^6+27*x^5+29*x^4+8*x^3+33*x^2+47*x+16', 'y^2=49*x^6+3*x^5+36*x^4+36*x^2+50*x+49', 'y^2=7*x^6+2*x^5+44*x^4+35*x^3+5*x^2+13*x+42', 'y^2=11*x^6+8*x^5+23*x^4+47*x^3+4*x^2+41*x', 'y^2=52*x^5+25*x^4+11*x^3+19*x^2+14*x+21', 'y^2=33*x^6+6*x^5+3*x^4+48*x^3+41*x^2+29*x+6', 'y^2=9*x^6+28*x^5+31*x^4+25*x^3+49*x^2+4*x+13'], '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': 30, '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': 4, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.4.1'], 'geometric_splitting_field': '2.0.4.1', 'geometric_splitting_polynomials': [[1, 0, 1]], 'group_structure_count': 3, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 137, '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': 137, 'label': '2.53.k_by', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['2.0.4.1', '2.0.4.1'], 'p': 53, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 10, 50, 530, 2809], 'poly_str': '1 10 50 530 2809 ', 'primitive_models': [], 'q': 53, 'real_poly': [1, 10, -56], 'simple_distinct': ['1.53.ae', '1.53.o'], 'simple_factors': ['1.53.aeA', '1.53.oA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,F-15', '3,-F+2*V-5', '7,16*F+3'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.4.1', 'splitting_polynomials': [[1, 0, 1]], 'twist_count': 16, 'twists': [['2.53.as_gg', '2.2809.a_adrm', 2], ['2.53.ak_by', '2.2809.a_adrm', 2], ['2.53.s_gg', '2.2809.a_adrm', 2], ['2.53.abc_lq', '2.7890481.ahiy_bwajnq', 4], ['2.53.ai_es', '2.7890481.ahiy_bwajnq', 4], ['2.53.a_adm', '2.7890481.ahiy_bwajnq', 4], ['2.53.a_dm', '2.7890481.ahiy_bwajnq', 4], ['2.53.i_es', '2.7890481.ahiy_bwajnq', 4], ['2.53.bc_lq', '2.7890481.ahiy_bwajnq', 4], ['2.53.a_ace', '2.62259690411361.bqctlc_bnznbbefoxq', 8], ['2.53.a_ce', '2.62259690411361.bqctlc_bnznbbefoxq', 8], ['2.53.ao_fn', '2.491258904256726154641.kvkchqdw_bsniptytgdbvvhog', 12], ['2.53.ae_abl', '2.491258904256726154641.kvkchqdw_bsniptytgdbvvhog', 12], ['2.53.e_abl', '2.491258904256726154641.kvkchqdw_bsniptytgdbvvhog', 12], ['2.53.o_fn', '2.491258904256726154641.kvkchqdw_bsniptytgdbvvhog', 12]], 'weak_equivalence_count': 36, 'zfv_index': 4536, 'zfv_index_factorization': [[2, 3], [3, 4], [7, 1]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 3136, 'zfv_singular_count': 6, 'zfv_singular_primes': ['2,F-15', '3,-F+2*V-5', '7,16*F+3']}
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av_fq_endalg_factors • Show schema
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id: 46161
{'base_label': '2.53.k_by', 'extension_degree': 1, 'extension_label': '1.53.ae', 'multiplicity': 1}
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id: 46162
{'base_label': '2.53.k_by', 'extension_degree': 1, 'extension_label': '1.53.o', 'multiplicity': 1}
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id: 46163
{'base_label': '2.53.k_by', 'extension_degree': 2, 'extension_label': '1.2809.adm', 'multiplicity': 1}
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id: 46164
{'base_label': '2.53.k_by', 'extension_degree': 2, 'extension_label': '1.2809.dm', 'multiplicity': 1}
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id: 46165
{'base_label': '2.53.k_by', 'extension_degree': 4, 'extension_label': '1.7890481.adrm', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.53.ae', 'galois_group': '2T1', 'places': [['30', '1'], ['23', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.53.o', 'galois_group': '2T1', 'places': [['30', '1'], ['23', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.2809.adm', 'galois_group': '2T1', 'places': [['23', '1'], ['30', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.2809.dm', 'galois_group': '2T1', 'places': [['30', '1'], ['23', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.7890481.adrm', 'galois_group': '2T1', 'places': [['23', '1'], ['30', '1']]}
