Magma V2.19-8 Tue Aug 20 2013 16:15:57 on localhost [Seed = 2033771845] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0181 geometric_solution 3.99399075 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.327191264372 0.082358416665 0 2 2 0 0132 0132 3201 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.222521282576 0.354144251423 1 1 3 3 2310 0132 0132 3201 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 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 0.228911677875 0.133679612615 4 2 5 2 0132 2310 0132 0132 0 0 0 0 0 0 0 0 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 0 0 0 -1 0 0 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 0.289451412404 1.096514602214 3 5 6 5 0132 3201 0132 2310 0 0 0 0 0 0 0 0 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 1 0 -1 1 0 0 -1 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.010603120143 1.712600767880 4 6 4 3 3201 1023 2310 0132 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 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.010603120143 1.712600767880 5 6 6 4 1023 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.493001372994 0.301591527775 ==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_0011_5'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_5'], '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' : d['c_0011_0'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_2']), '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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 279586906634438/5957684476975*c_0101_3^16 - 53678535379829/77372525675*c_0101_3^15 + 24256945092301078/5957684476975*c_0101_3^14 - 70913249960288677/5957684476975*c_0101_3^13 + 21394540176758912/1191536895395*c_0101_3^12 - 497700460740622/34043911297*c_0101_3^11 + 62593540361055442/5957684476975*c_0101_3^10 - 320783745156967/170219556485*c_0101_3^9 - 124127053323253803/5957684476975*c_0101_3^8 + 105720739905763912/5957684476975*c_0101_3^7 - 3359076705076343/1191536895395*c_0101_3^6 + 35910456461936032/5957684476975*c_0101_3^5 + 32645197934738871/5957684476975*c_0101_3^4 - 3939848744488156/851097782425*c_0101_3^3 - 212884406020644/77372525675*c_0101_3^2 - 1473304522346168/851097782425*c_0101_3 - 2308659666015812/5957684476975, c_0011_0 - 1, c_0011_3 + 3162149/58394359*c_0101_3^16 - 42509129/58394359*c_0101_3^15 + 217573038/58394359*c_0101_3^14 - 510121774/58394359*c_0101_3^13 + 507528639/58394359*c_0101_3^12 - 219565226/58394359*c_0101_3^11 + 327190142/58394359*c_0101_3^10 + 112238951/58394359*c_0101_3^9 - 797782426/58394359*c_0101_3^8 - 349692097/58394359*c_0101_3^7 + 97865348/58394359*c_0101_3^6 + 141489240/58394359*c_0101_3^5 + 259624680/58394359*c_0101_3^4 + 413221044/58394359*c_0101_3^3 + 11803121/58394359*c_0101_3^2 + 20991577/58394359*c_0101_3 + 23143803/58394359, c_0011_5 + 7826222123/77372525675*c_0101_3^16 - 114727904143/77372525675*c_0101_3^15 + 670708023713/77372525675*c_0101_3^14 - 1981312193342/77372525675*c_0101_3^13 + 632079258497/15474505135*c_0101_3^12 - 122585099185/3094901027*c_0101_3^11 + 2597250358057/77372525675*c_0101_3^10 - 169205978699/15474505135*c_0101_3^9 - 2836164469863/77372525675*c_0101_3^8 + 2938844679877/77372525675*c_0101_3^7 - 371305019508/15474505135*c_0101_3^6 + 1274141918597/77372525675*c_0101_3^5 + 679039310216/77372525675*c_0101_3^4 - 538154405107/77372525675*c_0101_3^3 + 123032899602/77372525675*c_0101_3^2 - 100776695646/77372525675*c_0101_3 + 9496738873/77372525675, c_0101_0 + 695309446/77372525675*c_0101_3^16 - 14693796636/77372525675*c_0101_3^15 + 122357328926/77372525675*c_0101_3^14 - 523772436659/77372525675*c_0101_3^13 + 250273054584/15474505135*c_0101_3^12 - 69569826895/3094901027*c_0101_3^11 + 1614357159414/77372525675*c_0101_3^10 - 248548780548/15474505135*c_0101_3^9 + 77853235974/77372525675*c_0101_3^8 + 1512137235504/77372525675*c_0101_3^7 - 278643842541/15474505135*c_0101_3^6 + 794035905069/77372525675*c_0101_3^5 - 503005516443/77372525675*c_0101_3^4 - 253964615589/77372525675*c_0101_3^3 + 128310817679/77372525675*c_0101_3^2 + 31080706633/77372525675*c_0101_3 + 84090600296/77372525675, c_0101_1 - 15516784/291971795*c_0101_3^16 + 204856794/291971795*c_0101_3^15 - 982078769/291971795*c_0101_3^14 + 1808900756/291971795*c_0101_3^13 + 33288155/58394359*c_0101_3^12 - 808614573/58394359*c_0101_3^11 + 3589151879/291971795*c_0101_3^10 - 973770115/58394359*c_0101_3^9 + 7001103299/291971795*c_0101_3^8 + 5582491274/291971795*c_0101_3^7 - 1286756966/58394359*c_0101_3^6 + 1493106069/291971795*c_0101_3^5 - 4231922748/291971795*c_0101_3^4 - 2443610349/291971795*c_0101_3^3 + 1493670194/291971795*c_0101_3^2 + 220441498/291971795*c_0101_3 + 168263571/291971795, c_0101_2 + 8449292951/77372525675*c_0101_3^16 - 120700852916/77372525675*c_0101_3^15 + 683512515356/77372525675*c_0101_3^14 - 1946112168929/77372525675*c_0101_3^13 + 605072136754/15474505135*c_0101_3^12 - 124200963594/3094901027*c_0101_3^11 + 2994524651034/77372525675*c_0101_3^10 - 205704171693/15474505135*c_0101_3^9 - 2402132937381/77372525675*c_0101_3^8 + 2071848575449/77372525675*c_0101_3^7 - 495955944231/15474505135*c_0101_3^6 + 1506014562664/77372525675*c_0101_3^5 + 674105856992/77372525675*c_0101_3^4 + 137344771591/77372525675*c_0101_3^3 + 444263035174/77372525675*c_0101_3^2 - 5089463877/77372525675*c_0101_3 + 15635359851/77372525675, c_0101_3^17 - 15*c_0101_3^16 + 90*c_0101_3^15 - 273*c_0101_3^14 + 441*c_0101_3^13 - 405*c_0101_3^12 + 309*c_0101_3^11 - 106*c_0101_3^10 - 421*c_0101_3^9 + 468*c_0101_3^8 - 156*c_0101_3^7 + 159*c_0101_3^6 + 81*c_0101_3^5 - 117*c_0101_3^4 - 35*c_0101_3^3 - 28*c_0101_3^2 - c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB