Magma V2.19-8 Tue Aug 20 2013 16:17:49 on localhost [Seed = 2648441215] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2058 geometric_solution 5.58212979 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 -1 0 1 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 0.285159805036 0.295487899337 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 -1 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.023793905552 1.456805751152 1 3 4 5 0132 3201 0132 0132 0 0 0 0 0 1 0 -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 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 -0.183543384507 0.856974912578 5 4 2 1 3201 3201 2310 0132 0 0 0 0 0 -1 0 1 1 0 -1 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 -1 0 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 -0.183543384507 0.856974912578 4 4 3 2 1302 2031 2310 0132 0 0 0 0 0 0 0 0 1 0 -1 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 0.337059841242 0.495298365937 6 6 2 3 0132 3201 0132 2310 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 1 0 -1 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 -0.379542091824 2.139704260342 5 6 5 6 0132 1302 2310 2031 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.362211951492 0.766923040354 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_0011_5'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), '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_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_1, c_0011_3, c_0011_4, c_0011_5, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 27378327644081/43110740959005*c_0011_5*c_0101_1^12 + 81644538863821/43110740959005*c_0011_5*c_0101_1^11 - 33845341447092/14370246986335*c_0011_5*c_0101_1^10 + 426885346978238/43110740959005*c_0011_5*c_0101_1^9 - 824786314396369/43110740959005*c_0011_5*c_0101_1^8 - 551473791019162/43110740959005*c_0011_5*c_0101_1^7 + 639890535116301/14370246986335*c_0011_5*c_0101_1^6 + 704100503480267/43110740959005*c_0011_5*c_0101_1^5 - 553674863692083/14370246986335*c_0011_5*c_0101_1^4 - 1344167670171148/43110740959005*c_0011_5*c_0101_1^3 + 1446756600449858/43110740959005*c_0011_5*c_0101_1^2 - 404782073806532/43110740959005*c_0011_5*c_0101_1 - 312340861475396/43110740959005*c_0011_5, c_0011_0 - 1, c_0011_1 + 4490501/27307661*c_0101_1^12 - 5826644/27307661*c_0101_1^11 + 5692617/27307661*c_0101_1^10 - 59036904/27307661*c_0101_1^9 + 33978925/27307661*c_0101_1^8 + 163412725/27307661*c_0101_1^7 - 48486058/27307661*c_0101_1^6 - 232190731/27307661*c_0101_1^5 - 116729672/27307661*c_0101_1^4 + 75384495/27307661*c_0101_1^3 - 63265394/27307661*c_0101_1^2 - 51091110/27307661*c_0101_1 - 45939363/27307661, c_0011_3 + 6138721788/70098765787*c_0011_5*c_0101_1^12 - 8677585582/70098765787*c_0011_5*c_0101_1^11 + 5267242609/70098765787*c_0011_5*c_0101_1^10 - 74855218292/70098765787*c_0011_5*c_0101_1^9 + 52928690173/70098765787*c_0011_5*c_0101_1^8 + 258120747754/70098765787*c_0011_5*c_0101_1^7 - 135180839867/70098765787*c_0011_5*c_0101_1^6 - 483774519647/70098765787*c_0011_5*c_0101_1^5 + 68004203928/70098765787*c_0011_5*c_0101_1^4 + 373882910695/70098765787*c_0011_5*c_0101_1^3 - 244140914636/70098765787*c_0011_5*c_0101_1^2 - 199057131387/70098765787*c_0011_5*c_0101_1 - 81663635277/70098765787*c_0011_5, c_0011_4 + 8212622788/70098765787*c_0011_5*c_0101_1^12 - 13359185034/70098765787*c_0011_5*c_0101_1^11 + 18690058176/70098765787*c_0011_5*c_0101_1^10 - 121072585074/70098765787*c_0011_5*c_0101_1^9 + 108313127910/70098765787*c_0011_5*c_0101_1^8 + 212123738358/70098765787*c_0011_5*c_0101_1^7 - 106750851944/70098765787*c_0011_5*c_0101_1^6 - 241248527421/70098765787*c_0011_5*c_0101_1^5 - 262947339933/70098765787*c_0011_5*c_0101_1^4 + 25117699207/70098765787*c_0011_5*c_0101_1^3 - 130594019631/70098765787*c_0011_5*c_0101_1^2 + 32822675703/70098765787*c_0011_5*c_0101_1 - 33991932777/70098765787*c_0011_5, c_0011_5^2 + 9389259689/70098765787*c_0101_1^12 - 12896909785/70098765787*c_0101_1^11 + 13548088329/70098765787*c_0101_1^10 - 126359173711/70098765787*c_0101_1^9 + 84098494287/70098765787*c_0101_1^8 + 326099585043/70098765787*c_0101_1^7 - 105837539476/70098765787*c_0101_1^6 - 471349248718/70098765787*c_0101_1^5 - 260903188361/70098765787*c_0101_1^4 + 181797862474/70098765787*c_0101_1^3 - 162303236911/70098765787*c_0101_1^2 - 131069409992/70098765787*c_0101_1 - 126092526019/70098765787, c_0101_0 + 11203712721/70098765787*c_0101_1^12 - 15889369370/70098765787*c_0101_1^11 + 17056040625/70098765787*c_0101_1^10 - 152165975085/70098765787*c_0101_1^9 + 107385599718/70098765787*c_0101_1^8 + 380646849168/70098765787*c_0101_1^7 - 141475709025/70098765787*c_0101_1^6 - 545536738637/70098765787*c_0101_1^5 - 309498450203/70098765787*c_0101_1^4 + 282659157180/70098765787*c_0101_1^3 - 161105382986/70098765787*c_0101_1^2 - 177999274761/70098765787*c_0101_1 - 138218277556/70098765787, c_0101_1^13 - c_0101_1^12 + c_0101_1^11 - 13*c_0101_1^10 + 4*c_0101_1^9 + 37*c_0101_1^8 + 2*c_0101_1^7 - 52*c_0101_1^6 - 46*c_0101_1^5 + 8*c_0101_1^4 - 8*c_0101_1^3 - 18*c_0101_1^2 - 19*c_0101_1 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB