Magma V2.19-8 Tue Aug 20 2013 16:16:00 on localhost [Seed = 408519903] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0246 geometric_solution 4.27207949 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 2310 3201 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 1 0 0 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.819031981506 0.168092594345 0 0 2 2 0132 3201 3201 0132 0 0 0 0 0 1 0 -1 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.294584118786 0.054912601276 1 3 1 3 2310 0132 0132 2310 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.765108608827 0.884219653510 2 2 5 4 3201 0132 0132 0132 0 0 0 0 0 1 -1 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.097865344532 2.438825418051 5 6 3 6 1023 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.611130410588 0.809652673837 6 4 6 3 3201 1023 1023 0132 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.611130410588 0.809652673837 4 4 5 5 3201 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.537385040657 0.313272922357 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_4']), 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_4']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 12010291509373/5192066060656*c_0101_5^14 - 742344993033875/20768264242624*c_0101_5^12 + 1640608542910091/20768264242624*c_0101_5^10 + 8338278116132545/41536528485248*c_0101_5^8 + 14817063365376995/10384132121312*c_0101_5^6 + 20412086338967373/10384132121312*c_0101_5^4 + 850776354012400/324504128791*c_0101_5^2 - 322622611454159/324504128791, c_0011_0 - 1, c_0011_2 + 53764274575/10384132121312*c_0101_5^14 - 3372987945137/41536528485248*c_0101_5^12 + 8153010690805/41536528485248*c_0101_5^10 + 32509441385771/83073056970496*c_0101_5^8 + 32750652752429/10384132121312*c_0101_5^6 + 19423740999375/5192066060656*c_0101_5^4 + 3232460460249/649008257582*c_0101_5^2 - 887695238058/324504128791, c_0011_4 + 19375733975/2596033030328*c_0101_5^14 - 1188592421325/10384132121312*c_0101_5^12 + 619599388621/2596033030328*c_0101_5^10 + 15040286629197/20768264242624*c_0101_5^8 + 94276954536907/20768264242624*c_0101_5^6 + 17082979572247/2596033030328*c_0101_5^4 + 10713901694107/1298016515164*c_0101_5^2 - 931664501219/324504128791, c_0101_0 - 2045578746485/20768264242624*c_0101_5^15 + 126474149118763/83073056970496*c_0101_5^13 - 280071493164479/83073056970496*c_0101_5^11 - 1416289041511065/166146113940992*c_0101_5^9 - 315250641032135/5192066060656*c_0101_5^7 - 867474305139081/10384132121312*c_0101_5^5 - 144625372412593/1298016515164*c_0101_5^3 + 27529455789717/649008257582*c_0101_5, c_0101_1 - 138602155967/2596033030328*c_0101_5^15 + 8565754066933/10384132121312*c_0101_5^13 - 2364993272019/1298016515164*c_0101_5^11 - 96148136163669/20768264242624*c_0101_5^9 - 684870667396415/20768264242624*c_0101_5^7 - 235713464767453/5192066060656*c_0101_5^5 - 79169964223551/1298016515164*c_0101_5^3 + 15011105812957/649008257582*c_0101_5, c_0101_4 - 597112958187/20768264242624*c_0101_5^15 + 36877515895717/83073056970496*c_0101_5^13 - 81023947499477/83073056970496*c_0101_5^11 - 419171383663935/166146113940992*c_0101_5^9 - 736752997238553/41536528485248*c_0101_5^7 - 254803927959825/10384132121312*c_0101_5^5 - 83508707131865/2596033030328*c_0101_5^3 + 8128151727719/649008257582*c_0101_5, c_0101_5^16 - 63/4*c_0101_5^14 + 155/4*c_0101_5^12 + 613/8*c_0101_5^10 + 591*c_0101_5^8 + 666*c_0101_5^6 + 880*c_0101_5^4 - 768*c_0101_5^2 + 128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB