Magma V2.19-8 Tue Aug 20 2013 16:19:22 on localhost [Seed = 3987501288] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3470 geometric_solution 6.68200440 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 2310 2310 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 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 0.070668057828 0.997499887520 0 0 4 3 0132 3201 0132 0132 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 -0.070668057828 0.997499887520 0 0 6 5 3201 0132 0132 0132 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 0 1 1 0 -1 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.070668057828 0.997499887520 5 4 1 4 0132 3012 0132 1302 0 0 0 0 0 0 0 0 0 0 1 -1 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 0.500000000000 1.149203227383 3 6 3 1 1230 0132 2031 0132 0 0 0 0 0 0 0 0 1 0 0 -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 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 0.500000000000 1.149203227383 3 6 2 6 0132 3012 0132 1302 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 -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 0.500000000000 1.149203227383 5 4 5 2 1230 0132 2031 0132 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 0 0 0 0 0 0 -1 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 1.149203227383 ==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' : 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' : d['1'], 's_1_5' : d['1'], 's_1_4' : 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' : 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_0101_6'], 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : d['c_0101_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0101_6'], '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_0'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : negation(d['c_0101_5'])})} 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_0011_4, c_0101_0, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 90067380447/4939258900*c_0101_6^9 + 28759671072/1234814725*c_0101_6^8 + 37814524713/4939258900*c_0101_6^7 - 29622036701/987851780*c_0101_6^6 - 9022525011/246962945*c_0101_6^5 + 74373165397/2469629450*c_0101_6^4 - 46397010056/1234814725*c_0101_6^3 + 62858274031/2469629450*c_0101_6^2 - 109198830723/2469629450*c_0101_6 - 106492471123/4939258900, c_0011_0 - 1, c_0011_3 - 497295909/790281424*c_0101_6^9 + 33087945/49392589*c_0101_6^8 + 327832075/790281424*c_0101_6^7 - 919086751/790281424*c_0101_6^6 - 301928579/197570356*c_0101_6^5 + 496306333/395140712*c_0101_6^4 - 64110792/49392589*c_0101_6^3 - 64708645/395140712*c_0101_6^2 - 432683653/395140712*c_0101_6 - 813408161/790281424, c_0011_4 - 497295909/790281424*c_0101_6^9 + 33087945/49392589*c_0101_6^8 + 327832075/790281424*c_0101_6^7 - 919086751/790281424*c_0101_6^6 - 301928579/197570356*c_0101_6^5 + 496306333/395140712*c_0101_6^4 - 64110792/49392589*c_0101_6^3 - 64708645/395140712*c_0101_6^2 - 432683653/395140712*c_0101_6 - 813408161/790281424, c_0101_0 - 270826237/395140712*c_0101_6^9 + 447970985/395140712*c_0101_6^8 + 9924529/49392589*c_0101_6^7 - 497935605/395140712*c_0101_6^6 - 459163215/395140712*c_0101_6^5 + 728183711/395140712*c_0101_6^4 - 469384417/395140712*c_0101_6^3 + 553510097/395140712*c_0101_6^2 - 539494033/395140712*c_0101_6 + 15371915/197570356, c_0101_4 - 275384923/197570356*c_0101_6^9 + 105014547/49392589*c_0101_6^8 + 64548265/197570356*c_0101_6^7 - 530271561/197570356*c_0101_6^6 - 132517405/49392589*c_0101_6^5 + 346578593/98785178*c_0101_6^4 - 157229748/49392589*c_0101_6^3 + 214103131/98785178*c_0101_6^2 - 355051127/98785178*c_0101_6 - 301854811/197570356, c_0101_5 + 10928203/49392589*c_0101_6^9 - 144446753/395140712*c_0101_6^8 - 104512269/395140712*c_0101_6^7 + 147139051/197570356*c_0101_6^6 + 101560707/395140712*c_0101_6^5 - 206910965/395140712*c_0101_6^4 + 108838889/395140712*c_0101_6^3 - 261511251/395140712*c_0101_6^2 + 2060983/395140712*c_0101_6 + 363716513/395140712, c_0101_6^10 - c_0101_6^9 - 9/11*c_0101_6^8 + 18/11*c_0101_6^7 + 27/11*c_0101_6^6 - 14/11*c_0101_6^5 + 18/11*c_0101_6^4 - 6/11*c_0101_6^3 + 20/11*c_0101_6^2 + 21/11*c_0101_6 + 5/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB