Magma V2.19-8 Tue Aug 20 2013 16:18:58 on localhost [Seed = 1562165296] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3124 geometric_solution 6.28682431 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 -1 0 1 1 0 -1 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 0.715779262790 0.998656645313 0 3 5 4 0132 0132 0132 0132 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 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 0.256287920702 0.751320423913 3 0 4 5 3201 0132 3201 0132 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 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 0.256287920702 0.751320423913 3 1 3 2 2310 0132 3201 2310 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 0.165021321105 1.124412374062 2 6 1 6 2310 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 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 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.847633361659 1.637943949587 5 5 2 1 1302 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.364739789675 0.924869714801 4 4 6 6 3201 0132 2031 1302 0 0 0 0 0 0 1 -1 -1 0 1 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 -1 0 1 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428978723752 0.190244517235 ==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' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_2'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], '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' : 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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 32 Groebner basis: [ t - 213202784380535/13319255078506*c_0101_2*c_0110_6^15 + 1339111372608/512279041481*c_0101_2*c_0110_6^14 + 813818517063454/6659627539253*c_0101_2*c_0110_6^13 - 42563921552734/512279041481*c_0101_2*c_0110_6^12 - 4716826588806391/13319255078506*c_0101_2*c_0110_6^11 + 4851119255167951/13319255078506*c_0101_2*c_0110_6^10 + 6490360466448457/13319255078506*c_0101_2*c_0110_6^9 - 80149729603455/129313156102*c_0101_2*c_0110_6^8 - 4631046719221875/13319255078506*c_0101_2*c_0110_6^7 + 3253709293892361/6659627539253*c_0101_2*c_0110_6^6 + 1272198962923150/6659627539253*c_0101_2*c_0110_6^5 - 99454021270631/512279041481*c_0101_2*c_0110_6^4 - 1130937973335514/6659627539253*c_0101_2*c_0110_6^3 + 1132748914611573/13319255078506*c_0101_2*c_0110_6^2 + 214116532632108/6659627539253*c_0101_2*c_0110_6 - 8169698889913/6659627539253*c_0101_2, c_0011_0 - 1, c_0011_4 + 228755814670/512279041481*c_0101_2*c_0110_6^15 + 519881329824/512279041481*c_0101_2*c_0110_6^14 - 1196900275077/512279041481*c_0101_2*c_0110_6^13 - 2457493892083/512279041481*c_0101_2*c_0110_6^12 + 3866184805875/512279041481*c_0101_2*c_0110_6^11 + 5885956119423/512279041481*c_0101_2*c_0110_6^10 - 7648958449662/512279041481*c_0101_2*c_0110_6^9 - 84657946465/4973582927*c_0101_2*c_0110_6^8 + 8171275840812/512279041481*c_0101_2*c_0110_6^7 + 7278503804468/512279041481*c_0101_2*c_0110_6^6 - 4926227746012/512279041481*c_0101_2*c_0110_6^5 - 4720284118536/512279041481*c_0101_2*c_0110_6^4 + 1001529526912/512279041481*c_0101_2*c_0110_6^3 + 3053233631442/512279041481*c_0101_2*c_0110_6^2 + 755533731082/512279041481*c_0101_2*c_0110_6 - 335537749953/512279041481*c_0101_2, c_0011_5 - 1005127870065/512279041481*c_0101_2*c_0110_6^15 - 1648006672898/512279041481*c_0101_2*c_0110_6^14 + 6075889827188/512279041481*c_0101_2*c_0110_6^13 + 6505232106412/512279041481*c_0101_2*c_0110_6^12 - 19751576673112/512279041481*c_0101_2*c_0110_6^11 - 11749926133522/512279041481*c_0101_2*c_0110_6^10 + 35890325453772/512279041481*c_0101_2*c_0110_6^9 + 130212576930/4973582927*c_0101_2*c_0110_6^8 - 34325584438261/512279041481*c_0101_2*c_0110_6^7 - 9926437770309/512279041481*c_0101_2*c_0110_6^6 + 18364099928904/512279041481*c_0101_2*c_0110_6^5 + 9211035212692/512279041481*c_0101_2*c_0110_6^4 - 5014411196432/512279041481*c_0101_2*c_0110_6^3 - 5607593977629/512279041481*c_0101_2*c_0110_6^2 - 396437634830/512279041481*c_0101_2*c_0110_6 - 499663253213/512279041481*c_0101_2, c_0101_0 - 245374352220/512279041481*c_0110_6^15 - 358639264679/512279041481*c_0110_6^14 + 1542470633403/512279041481*c_0110_6^13 + 1303696605667/512279041481*c_0110_6^12 - 4925181697809/512279041481*c_0110_6^11 - 1821532277676/512279041481*c_0110_6^10 + 8491012671225/512279041481*c_0110_6^9 + 14390480954/4973582927*c_0110_6^8 - 7278503804468/512279041481*c_0110_6^7 - 1112925761276/512279041481*c_0110_6^6 + 3622256208120/512279041481*c_0110_6^5 + 1743540249128/512279041481*c_0110_6^4 - 1909454558092/512279041481*c_0110_6^3 - 1396050012158/512279041481*c_0110_6^2 + 664812139698/512279041481*c_0110_6 - 91502325868/512279041481, c_0101_1 - 579957750860/512279041481*c_0110_6^15 - 930927566997/512279041481*c_0110_6^14 + 3430832160010/512279041481*c_0110_6^13 + 3420284578081/512279041481*c_0110_6^12 - 10962021152333/512279041481*c_0110_6^11 - 5557214872416/512279041481*c_0110_6^10 + 19302555554775/512279041481*c_0110_6^9 + 52868662897/4973582927*c_0110_6^8 - 17882369775861/512279041481*c_0110_6^7 - 2831625293307/512279041481*c_0110_6^6 + 10155820377670/512279041481*c_0110_6^5 + 2473933522676/512279041481*c_0110_6^4 - 3566437701338/512279041481*c_0110_6^3 - 1290240161528/512279041481*c_0110_6^2 + 276624409020/512279041481*c_0110_6 - 381564011473/512279041481, c_0101_2^2 + 58222918905/1024558082962*c_0110_6^15 + 72398298021/1024558082962*c_0110_6^14 - 116420302621/512279041481*c_0110_6^13 - 93995133378/512279041481*c_0110_6^12 + 93662290505/1024558082962*c_0110_6^11 + 282831609400/512279041481*c_0110_6^10 + 708439573513/512279041481*c_0110_6^9 - 12289635566/4973582927*c_0110_6^8 - 1766527445786/512279041481*c_0110_6^7 + 5323702558057/1024558082962*c_0110_6^6 + 1437034100023/512279041481*c_0110_6^5 - 2857813858839/512279041481*c_0110_6^4 - 132017655452/512279041481*c_0110_6^3 + 2336792554875/1024558082962*c_0110_6^2 - 258482038875/1024558082962*c_0110_6 - 212982797933/512279041481, c_0110_6^16 + 6/5*c_0110_6^15 - 34/5*c_0110_6^14 - 4*c_0110_6^13 + 113/5*c_0110_6^12 + 21/5*c_0110_6^11 - 207/5*c_0110_6^10 - c_0110_6^9 + 211/5*c_0110_6^8 - 132/5*c_0110_6^6 - 24/5*c_0110_6^5 + 12*c_0110_6^4 + 5*c_0110_6^3 - 14/5*c_0110_6^2 - 4/5*c_0110_6 - 2/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB