Magma V2.19-8 Tue Aug 20 2013 16:16:16 on localhost [Seed = 3937105416] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0532 geometric_solution 4.55101968 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 1023 0 0 0 0 0 0 1 -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 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 0.103529059842 0.349568107919 0 4 4 0 0132 0132 1023 1023 0 0 0 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 0 0 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 0 0 0 1.743159865883 0.763177491231 5 0 3 5 0132 0132 2103 1023 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 -1 1 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 0.487257881016 0.679513231503 2 6 6 0 2103 0132 1023 0132 0 0 0 0 0 1 0 -1 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 1 -1 0 0 0 -1 1 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.487257881016 0.679513231503 4 1 1 4 3012 0132 1023 1230 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 0 0 0 0 0 0 0 0 0 0 0 1.734301595068 0.143511604409 2 6 6 2 0132 2310 3201 1023 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.414147805489 0.531588864581 5 3 3 5 2310 0132 1023 3201 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 -1 1 0 0 0 1 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.414147805489 0.531588864581 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_0'], 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : d['c_0011_3'], 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_3']})} 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_3, c_0101_1, c_0101_2, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 177706669073/14406005931*c_0101_6^13 + 218081266800/4802001977*c_0101_6^12 + 1967184782831/14406005931*c_0101_6^11 + 5500839893555/14406005931*c_0101_6^10 + 1914477437003/14406005931*c_0101_6^9 - 1119397125059/4802001977*c_0101_6^8 - 2330903602943/4802001977*c_0101_6^7 - 1387935603819/4802001977*c_0101_6^6 - 1505041281404/14406005931*c_0101_6^5 - 3270275276150/14406005931*c_0101_6^4 - 55851815708/14406005931*c_0101_6^3 - 536672636341/14406005931*c_0101_6^2 - 35473128508/14406005931*c_0101_6 + 399794444633/14406005931, c_0011_0 - 1, c_0011_3 - 9635942/4802001977*c_0101_6^13 + 34022298/4802001977*c_0101_6^12 + 269691367/4802001977*c_0101_6^11 - 370392607/4802001977*c_0101_6^10 - 1147378574/4802001977*c_0101_6^9 - 3977733209/4802001977*c_0101_6^8 - 193445667/4802001977*c_0101_6^7 + 121686152/4802001977*c_0101_6^6 - 1203580892/4802001977*c_0101_6^5 + 306502962/4802001977*c_0101_6^4 + 5470483425/4802001977*c_0101_6^3 + 12541650295/4802001977*c_0101_6^2 + 272095967/4802001977*c_0101_6 - 87147146/4802001977, c_0101_1 + 2857650841/4802001977*c_0101_6^13 - 11172441150/4802001977*c_0101_6^12 - 29600966290/4802001977*c_0101_6^11 - 79912055305/4802001977*c_0101_6^10 - 6047325322/4802001977*c_0101_6^9 + 70802281077/4802001977*c_0101_6^8 + 100430425429/4802001977*c_0101_6^7 + 23156975310/4802001977*c_0101_6^6 - 4829194659/4802001977*c_0101_6^5 + 49335079577/4802001977*c_0101_6^4 + 800469555/4802001977*c_0101_6^3 + 5029135727/4802001977*c_0101_6^2 - 1798942309/4802001977*c_0101_6 - 6783014183/4802001977, c_0101_2 - 87147146/4802001977*c_0101_6^13 + 358224526/4802001977*c_0101_6^12 + 837449162/4802001977*c_0101_6^11 + 2083281575/4802001977*c_0101_6^10 + 370392607/4802001977*c_0101_6^9 - 1031300076/4802001977*c_0101_6^8 + 1101877391/4802001977*c_0101_6^7 - 590878647/4802001977*c_0101_6^6 + 52608140/4802001977*c_0101_6^5 - 103626298/4802001977*c_0101_6^4 + 216379914/4802001977*c_0101_6^3 - 5557630571/4802001977*c_0101_6^2 - 7739648318/4802001977*c_0101_6 - 10654529/4802001977, c_0101_4 - 4639550682/4802001977*c_0101_6^13 + 16517754685/4802001977*c_0101_6^12 + 53440371584/4802001977*c_0101_6^11 + 150036123742/4802001977*c_0101_6^10 + 66705794344/4802001977*c_0101_6^9 - 84867073303/4802001977*c_0101_6^8 - 201985267190/4802001977*c_0101_6^7 - 137073262641/4802001977*c_0101_6^6 - 48372887646/4802001977*c_0101_6^5 - 73311841817/4802001977*c_0101_6^4 - 2299123912/4802001977*c_0101_6^3 - 8324832086/4802001977*c_0101_6^2 - 1280029816/4802001977*c_0101_6 + 10405929213/4802001977, c_0101_5 + c_0101_6, c_0101_6^14 - 4*c_0101_6^13 - 10*c_0101_6^12 - 27*c_0101_6^11 + 25*c_0101_6^9 + 33*c_0101_6^8 + 9*c_0101_6^7 - 2*c_0101_6^6 + 15*c_0101_6^5 - 6*c_0101_6^4 + c_0101_6^3 - 3*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB