Magma V2.19-8 Tue Aug 20 2013 16:19:22 on localhost [Seed = 3448525000] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3467 geometric_solution 6.68035037 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 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 0.227956574093 1.553978429207 0 4 6 5 0132 0321 0132 0132 0 0 0 0 0 0 -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 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 0.498129803595 1.102378746836 6 0 3 3 1230 0132 3120 2310 0 0 0 0 0 0 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 0 0 0 0 0 0 1 -1 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 0.266069398211 0.591326478407 2 5 2 0 3201 3012 3120 0132 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 0 1 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.390830934060 0.656526033127 6 5 0 1 2031 2103 0132 0321 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 -1 1 -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 0.412545238610 0.483894864424 3 4 1 6 1230 2103 0132 1230 0 0 0 0 0 0 -1 1 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 0 0 0 0 0 0.470148686401 0.709203764559 5 2 4 1 3012 3012 1302 0132 0 0 0 0 0 0 -1 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.885876356161 0.802585011820 ==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_1'], 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : negation(d['c_0101_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_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' : d['c_0011_4'], 'c_0011_6' : d['c_0011_3'], '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' : d['c_0011_4'], 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : d['c_0011_5']})} 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_0011_5, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 822612003843684/177456641977667*c_0101_2^13 + 102605514853781/177456641977667*c_0101_2^12 - 1365816474980007/177456641977667*c_0101_2^11 + 18289423107557646/177456641977667*c_0101_2^10 + 4345023849327695/177456641977667*c_0101_2^9 - 79494929706703215/177456641977667*c_0101_2^8 + 14397064997507275/177456641977667*c_0101_2^7 + 154439371450866516/177456641977667*c_0101_2^6 - 100284233133216120/177456641977667*c_0101_2^5 - 125033152395125684/177456641977667*c_0101_2^4 + 112728788982459032/177456641977667*c_0101_2^3 + 53762659607295948/177456641977667*c_0101_2^2 - 19603061333465954/177456641977667*c_0101_2 - 5766288823189520/177456641977667, c_0011_0 - 1, c_0011_3 - 274596108101/1050039301643*c_0101_2^13 - 122949921436/1050039301643*c_0101_2^12 + 356281971657/1050039301643*c_0101_2^11 - 5946952148492/1050039301643*c_0101_2^10 - 3321088957909/1050039301643*c_0101_2^9 + 24078630085430/1050039301643*c_0101_2^8 + 3832917888939/1050039301643*c_0101_2^7 - 45531455418731/1050039301643*c_0101_2^6 + 13456141871819/1050039301643*c_0101_2^5 + 40264541183069/1050039301643*c_0101_2^4 - 12037074094626/1050039301643*c_0101_2^3 - 24941861323406/1050039301643*c_0101_2^2 - 6409160009320/1050039301643*c_0101_2 + 810366917486/1050039301643, c_0011_4 - 153227452039/1050039301643*c_0101_2^13 + 30199250935/1050039301643*c_0101_2^12 + 209977105578/1050039301643*c_0101_2^11 - 3449833249013/1050039301643*c_0101_2^10 + 314391992939/1050039301643*c_0101_2^9 + 13898513898340/1050039301643*c_0101_2^8 - 6680394954617/1050039301643*c_0101_2^7 - 24168197140767/1050039301643*c_0101_2^6 + 23215361306793/1050039301643*c_0101_2^5 + 13100142623185/1050039301643*c_0101_2^4 - 17672061388681/1050039301643*c_0101_2^3 - 6632923942447/1050039301643*c_0101_2^2 + 2698881516089/1050039301643*c_0101_2 + 1578163053703/1050039301643, c_0011_5 + 606250684551/1050039301643*c_0101_2^13 + 394041756766/1050039301643*c_0101_2^12 - 740607785399/1050039301643*c_0101_2^11 + 12971630029655/1050039301643*c_0101_2^10 + 9997472195917/1050039301643*c_0101_2^9 - 51903534381996/1050039301643*c_0101_2^8 - 19220256983146/1050039301643*c_0101_2^7 + 99613992157947/1050039301643*c_0101_2^6 - 10285375656575/1050039301643*c_0101_2^5 - 96303495364926/1050039301643*c_0101_2^4 + 12114142725824/1050039301643*c_0101_2^3 + 60810325276528/1050039301643*c_0101_2^2 + 22358392876694/1050039301643*c_0101_2 + 938762524033/1050039301643, c_0101_0 - 1623365445852/1050039301643*c_0101_2^13 - 1278393291212/1050039301643*c_0101_2^12 + 1932500822780/1050039301643*c_0101_2^11 - 34503068642275/1050039301643*c_0101_2^10 - 31670526161592/1050039301643*c_0101_2^9 + 137442069577192/1050039301643*c_0101_2^8 + 69842385201764/1050039301643*c_0101_2^7 - 268004639326970/1050039301643*c_0101_2^6 - 3509956795074/1050039301643*c_0101_2^5 + 275241420151000/1050039301643*c_0101_2^4 - 11537528268735/1050039301643*c_0101_2^3 - 171986771811509/1050039301643*c_0101_2^2 - 73999725594292/1050039301643*c_0101_2 - 7395507575955/1050039301643, c_0101_1 - 767796136217/1050039301643*c_0101_2^13 - 646427480155/1050039301643*c_0101_2^12 + 920945308588/1050039301643*c_0101_2^11 - 16270023726636/1050039301643*c_0101_2^10 - 15929988369729/1050039301643*c_0101_2^9 + 65059171848208/1050039301643*c_0101_2^8 + 36655448122147/1050039301643*c_0101_2^7 - 128753917820974/1050039301643*c_0101_2^6 - 7812994898282/1050039301643*c_0101_2^5 + 137213378046996/1050039301643*c_0101_2^4 - 2594922200940/1050039301643*c_0101_2^3 - 87021377733057/1050039301643*c_0101_2^2 - 35436792154231/1050039301643*c_0101_2 - 2408900517846/1050039301643, c_0101_2^14 + c_0101_2^13 - c_0101_2^12 + 21*c_0101_2^11 + 24*c_0101_2^10 - 80*c_0101_2^9 - 61*c_0101_2^8 + 154*c_0101_2^7 + 38*c_0101_2^6 - 166*c_0101_2^5 - 32*c_0101_2^4 + 106*c_0101_2^3 + 70*c_0101_2^2 + 15*c_0101_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB