Magma V2.19-8 Tue Aug 20 2013 16:16:35 on localhost [Seed = 357861833] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0886 geometric_solution 4.78777152 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 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 0 0 0 0 0 0 0 0 0 2.982115259017 1.067842113486 0 1 1 0 0132 3201 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.553590289507 0.096126884135 0 3 4 0 3201 0132 0132 0132 0 0 0 0 0 1 0 -1 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 1 0 -1 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 -0.083736155763 0.700129546714 4 2 5 4 2310 0132 0132 2031 0 0 0 0 0 -1 0 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 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 0.228596874317 0.763356536715 5 3 3 2 2310 1302 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.228596874317 0.763356536715 6 6 4 3 0132 2310 3201 0132 0 0 0 0 0 0 0 0 1 0 -1 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 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.285753762705 0.972588898373 5 6 6 5 0132 1230 3012 3201 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 1 -1 0 0 0 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.397752106756 0.527139288554 ==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' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(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' : negation(d['c_0011_5']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), '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' : 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' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], '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_2, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 137635050/2126207*c_0101_3^12 + 601927506/2126207*c_0101_3^11 + 587816842/2126207*c_0101_3^10 - 3533885170/2126207*c_0101_3^9 - 2062873452/2126207*c_0101_3^8 + 8138958210/2126207*c_0101_3^7 + 2570106657/4252414*c_0101_3^6 - 11377176077/4252414*c_0101_3^5 + 1064515819/4252414*c_0101_3^4 + 4068175517/4252414*c_0101_3^3 - 534145380/2126207*c_0101_3^2 - 648992759/4252414*c_0101_3 + 180387167/4252414, c_0011_0 - 1, c_0011_2 - 101086/125071*c_0101_3^12 + 289839/125071*c_0101_3^11 + 1092703/125071*c_0101_3^10 - 1972576/125071*c_0101_3^9 - 10378093/250142*c_0101_3^8 + 7501043/250142*c_0101_3^7 + 17386145/250142*c_0101_3^6 - 3050370/125071*c_0101_3^5 - 3327588/125071*c_0101_3^4 + 1867178/125071*c_0101_3^3 + 1042331/250142*c_0101_3^2 - 307381/125071*c_0101_3 + 89283/250142, c_0011_4 - 347299/125071*c_0101_1*c_0101_3^12 + 1274263/125071*c_0101_1*c_0101_3^11 + 2492285/125071*c_0101_1*c_0101_3^10 - 15348387/250142*c_0101_1*c_0101_3^9 - 21863621/250142*c_0101_1*c_0101_3^8 + 31146955/250142*c_0101_1*c_0101_3^7 + 15160813/125071*c_0101_1*c_0101_3^6 - 9374889/125071*c_0101_1*c_0101_3^5 - 4717299/125071*c_0101_1*c_0101_3^4 + 7816633/250142*c_0101_1*c_0101_3^3 + 766875/125071*c_0101_1*c_0101_3^2 - 1255887/250142*c_0101_1*c_0101_3 - 78154/125071*c_0101_1, c_0011_5 - 346888/125071*c_0101_1*c_0101_3^12 + 1535895/125071*c_0101_1*c_0101_3^11 + 1441046/125071*c_0101_1*c_0101_3^10 - 9143699/125071*c_0101_1*c_0101_3^9 - 9980029/250142*c_0101_1*c_0101_3^8 + 21677869/125071*c_0101_1*c_0101_3^7 + 6615617/250142*c_0101_1*c_0101_3^6 - 16126788/125071*c_0101_1*c_0101_3^5 + 668592/125071*c_0101_1*c_0101_3^4 + 11070959/250142*c_0101_1*c_0101_3^3 - 1249320/125071*c_0101_1*c_0101_3^2 - 825479/125071*c_0101_1*c_0101_3 + 265512/125071*c_0101_1, c_0101_0 - 101086/125071*c_0101_1*c_0101_3^12 + 289839/125071*c_0101_1*c_0101_3^11 + 1092703/125071*c_0101_1*c_0101_3^10 - 1972576/125071*c_0101_1*c_0101_3^9 - 10378093/250142*c_0101_1*c_0101_3^8 + 7501043/250142*c_0101_1*c_0101_3^7 + 17386145/250142*c_0101_1*c_0101_3^6 - 3050370/125071*c_0101_1*c_0101_3^5 - 3327588/125071*c_0101_1*c_0101_3^4 + 1867178/125071*c_0101_1*c_0101_3^3 + 1042331/250142*c_0101_1*c_0101_3^2 - 307381/125071*c_0101_1*c_0101_3 + 339425/250142*c_0101_1, c_0101_1^2 + 15311/125071*c_0101_3^12 - 104199/125071*c_0101_3^11 + 98576/125071*c_0101_3^10 + 1067145/250142*c_0101_3^9 - 1356577/250142*c_0101_3^8 - 1357600/125071*c_0101_3^7 + 3572203/250142*c_0101_3^6 + 1260679/250142*c_0101_3^5 - 2092419/250142*c_0101_3^4 + 145033/250142*c_0101_3^3 + 473505/250142*c_0101_3^2 - 33624/125071*c_0101_3 - 66624/125071, c_0101_3^13 - 4*c_0101_3^12 - 6*c_0101_3^11 + 49/2*c_0101_3^10 + 25*c_0101_3^9 - 56*c_0101_3^8 - 33*c_0101_3^7 + 87/2*c_0101_3^6 + 13*c_0101_3^5 - 20*c_0101_3^4 - 2*c_0101_3^3 + 5*c_0101_3^2 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB