Magma V2.19-8 Tue Aug 20 2013 16:19:09 on localhost [Seed = 694727762] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3285 geometric_solution 6.40981699 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 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 0.653877128519 0.526376702505 0 5 4 2 0132 0132 1230 2103 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 -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 0.872123971983 1.326308598399 6 0 6 1 0132 0132 1023 2103 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 0 0 0 0 0.341912447563 1.173333817965 6 5 5 0 3012 3201 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.728085688863 0.587144457491 4 4 0 1 1302 2031 0132 3012 0 0 0 0 0 1 -1 0 -1 0 0 1 -1 1 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.779615765822 0.748415987744 6 1 3 3 1023 0132 2310 3012 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.167756911734 0.671139295876 2 5 2 3 0132 1023 1023 1230 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 -0.371958668449 0.805985602458 ==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_0'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_6']), 'c_1100_0' : d['c_0101_3'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : negation(d['c_0101_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_0'], '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_1001_0']), 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_6']), 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : d['c_0101_6']})} 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_3, c_0101_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 3207785851222379080333/20461581713476765523088*c_1001_0^16 - 653221629145224812231/974361033975084072528*c_1001_0^15 - 18639739499588419141819/20461581713476765523088*c_1001_0^14 + 142455971981072368871963/20461581713476765523088*c_1001_0^13 - 5990479614532360491805/2273509079275196169232*c_1001_0^12 - 191200507206308017619869/6820527237825588507696*c_1001_0^11 + 160041965862371427081383/10230790856738382761544*c_1001_0^10 + 261813231296286233047805/6820527237825588507696*c_1001_0^9 - 299100140520497344870307/6820527237825588507696*c_1001_0^8 - 264608558462525890077673/20461581713476765523088*c_1001_0^7 + 62784531886874660639701/1076925353340882395952*c_1001_0^6 - 1050491342101751994619103/20461581713476765523088*c_1001_0^5 - 779605830870830928367489/5115395428369191380772*c_1001_0^4 - 1287572333735474707563115/20461581713476765523088*c_1001_0^3 + 154461069447749247712345/1705131809456397126924*c_1001_0^2 + 29238105496192401769621/358975117780294131984*c_1001_0 + 50963705254538497427317/10230790856738382761544, c_0011_0 - 1, c_0011_3 + 33611615345721315123/284188634909399521154*c_1001_0^16 - 29893054653083013455/40598376415628503022*c_1001_0^15 + 224744926650606980677/284188634909399521154*c_1001_0^14 + 956342099206570371297/284188634909399521154*c_1001_0^13 - 2203178332324103034469/284188634909399521154*c_1001_0^12 - 1567814614965179938729/284188634909399521154*c_1001_0^11 + 2564394778766593636533/142094317454699760577*c_1001_0^10 - 912146238416630386839/284188634909399521154*c_1001_0^9 - 5411546466792252081035/284188634909399521154*c_1001_0^8 + 5047904029967014117091/284188634909399521154*c_1001_0^7 + 112408553134955846493/14957296574178922166*c_1001_0^6 - 11829794309271983754765/284188634909399521154*c_1001_0^5 - 5741694164502136809033/142094317454699760577*c_1001_0^4 + 4822675616791904396215/284188634909399521154*c_1001_0^3 + 5950458449086920951799/142094317454699760577*c_1001_0^2 + 152002885156955327097/14957296574178922166*c_1001_0 - 191254069386135848080/142094317454699760577, c_0011_4 - 54298048074654396429/568377269818799042308*c_1001_0^16 + 46517537326813885703/81196752831257006044*c_1001_0^15 - 279314419879286236035/568377269818799042308*c_1001_0^14 - 1673850781274549224685/568377269818799042308*c_1001_0^13 + 3285362632531968673715/568377269818799042308*c_1001_0^12 + 3491215903374896700809/568377269818799042308*c_1001_0^11 - 2081939039526495602095/142094317454699760577*c_1001_0^10 - 181684135677517412599/568377269818799042308*c_1001_0^9 + 10103841560153891075175/568377269818799042308*c_1001_0^8 - 7426264284144989764965/568377269818799042308*c_1001_0^7 - 286032651327548546495/29914593148357844332*c_1001_0^6 + 19697303923992838149481/568377269818799042308*c_1001_0^5 + 11034656766486448256639/284188634909399521154*c_1001_0^4 - 5391601237958410258425/568377269818799042308*c_1001_0^3 - 10777372292772279736011/284188634909399521154*c_1001_0^2 - 353178963975248342807/29914593148357844332*c_1001_0 + 70517933828731152268/142094317454699760577, c_0101_0 + 1, c_0101_3 + 5302047146396957373/142094317454699760577*c_1001_0^16 - 4812384164411135954/20299188207814251511*c_1001_0^15 + 40533616221562198409/142094317454699760577*c_1001_0^14 + 140127632432272783097/142094317454699760577*c_1001_0^13 - 354395578917652049199/142094317454699760577*c_1001_0^12 - 195430336447828887595/142094317454699760577*c_1001_0^11 + 789780706906789506989/142094317454699760577*c_1001_0^10 - 241031651140308853081/142094317454699760577*c_1001_0^9 - 755036800298907021321/142094317454699760577*c_1001_0^8 + 869251920452574985999/142094317454699760577*c_1001_0^7 + 7582125197830772488/7478648287089461083*c_1001_0^6 - 1785559278570533678911/142094317454699760577*c_1001_0^5 - 1561052128059769478228/142094317454699760577*c_1001_0^4 + 667488996870180082365/142094317454699760577*c_1001_0^3 + 1743922130736191913978/142094317454699760577*c_1001_0^2 + 20065994951422899144/7478648287089461083*c_1001_0 + 42839147128275603591/142094317454699760577, c_0101_6 + 8231083082209347071/142094317454699760577*c_1001_0^16 - 7102346833943886634/20299188207814251511*c_1001_0^15 + 43260633150353662388/142094317454699760577*c_1001_0^14 + 260403153122147813007/142094317454699760577*c_1001_0^13 - 523912495646228060434/142094317454699760577*c_1001_0^12 - 529057501212306803775/142094317454699760577*c_1001_0^11 + 1377443718215997794343/142094317454699760577*c_1001_0^10 - 42931946684583393326/142094317454699760577*c_1001_0^9 - 1685233287539875181532/142094317454699760577*c_1001_0^8 + 1315040622612768785142/142094317454699760577*c_1001_0^7 + 45117454149770774637/7478648287089461083*c_1001_0^6 - 3203784640631867901781/142094317454699760577*c_1001_0^5 - 3194050698114396462298/142094317454699760577*c_1001_0^4 + 1301210370859350765759/142094317454699760577*c_1001_0^3 + 3379308311731841610421/142094317454699760577*c_1001_0^2 + 32227939316885305675/7478648287089461083*c_1001_0 - 260031339426893189307/142094317454699760577, c_1001_0^17 - 5*c_1001_0^16 - c_1001_0^15 + 37*c_1001_0^14 - 31*c_1001_0^13 - 129*c_1001_0^12 + 100*c_1001_0^11 + 163*c_1001_0^10 - 207*c_1001_0^9 - 43*c_1001_0^8 + 261*c_1001_0^7 - 289*c_1001_0^6 - 774*c_1001_0^5 - 251*c_1001_0^4 + 542*c_1001_0^3 + 501*c_1001_0^2 + 68*c_1001_0 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB