Magma V2.19-8 Tue Aug 20 2013 16:18:20 on localhost [Seed = 1932717660] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2542 geometric_solution 5.85238541 oriented_manifold CS_known 0.0000000000000006 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 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 1.034647722950 0.958359827387 0 5 5 6 0132 0132 3201 0132 0 0 0 0 0 0 1 -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 -1 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 0.346268187159 0.231756603085 2 0 2 6 2031 0132 1302 1023 0 0 0 0 0 1 -1 0 1 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 0.764137793151 0.850864716013 6 3 3 0 0132 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 1.096023620794 0.717256898120 4 6 0 4 3201 0132 0132 2310 0 0 0 0 0 1 -1 0 -1 0 0 1 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 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 0.133922114133 0.715880763393 1 1 5 5 2310 0132 1230 3012 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.578851681598 1.153063245815 3 4 1 2 0132 0132 0132 1023 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 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 1.034647722950 0.958359827387 ==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' : 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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : 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' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(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_0101_1'], 'c_1001_4' : d['c_0110_2'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0110_2'], '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_0110_2'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0110_2'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0110_2']})} 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_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t + 368331572063/44430201600*c_0110_2^18 + 270922543969/22215100800*c_0110_2^17 - 479833858093/4443020160*c_0110_2^16 - 607343546013/2962013440*c_0110_2^15 + 2844265556707/5553775200*c_0110_2^14 + 29188925266969/22215100800*c_0110_2^13 - 5276467988963/5553775200*c_0110_2^12 - 36947927095871/8886040320*c_0110_2^11 - 1176494575423/8886040320*c_0110_2^10 + 31254985486961/4443020160*c_0110_2^9 + 45492558069329/14810067200*c_0110_2^8 - 750738839251/115703650*c_0110_2^7 - 49705248130001/11107550400*c_0110_2^6 + 3124207752853/925629200*c_0110_2^5 + 42175998048903/14810067200*c_0110_2^4 - 50745331221451/44430201600*c_0110_2^3 - 21824560325621/22215100800*c_0110_2^2 + 3118270698089/14810067200*c_0110_2 + 3606595216019/44430201600, c_0011_0 - 1, c_0011_3 - 4055977/6942219*c_0110_2^18 - 12531799/6942219*c_0110_2^17 + 30574582/6942219*c_0110_2^16 + 47120679/2314073*c_0110_2^15 - 12233209/6942219*c_0110_2^14 - 575980210/6942219*c_0110_2^13 - 413573438/6942219*c_0110_2^12 + 1069273910/6942219*c_0110_2^11 + 1370827651/6942219*c_0110_2^10 - 872431379/6942219*c_0110_2^9 - 1937919487/6942219*c_0110_2^8 + 143196835/6942219*c_0110_2^7 + 1462847320/6942219*c_0110_2^6 + 203889236/6942219*c_0110_2^5 - 654623869/6942219*c_0110_2^4 - 144560702/6942219*c_0110_2^3 + 162117061/6942219*c_0110_2^2 + 23072896/6942219*c_0110_2 - 6180566/6942219, c_0101_0 + 2694224/6942219*c_0110_2^18 + 6725030/6942219*c_0110_2^17 - 26107622/6942219*c_0110_2^16 - 28202357/2314073*c_0110_2^15 + 68583050/6942219*c_0110_2^14 + 404646758/6942219*c_0110_2^13 + 56852989/6942219*c_0110_2^12 - 958989235/6942219*c_0110_2^11 - 580763417/6942219*c_0110_2^10 + 1230319693/6942219*c_0110_2^9 + 1132218836/6942219*c_0110_2^8 - 925290911/6942219*c_0110_2^7 - 1097081378/6942219*c_0110_2^6 + 484698617/6942219*c_0110_2^5 + 634421843/6942219*c_0110_2^4 - 185102699/6942219*c_0110_2^3 - 218291564/6942219*c_0110_2^2 + 53352745/6942219*c_0110_2 + 18849262/6942219, c_0101_1 + 2185589/6942219*c_0110_2^18 + 9019997/6942219*c_0110_2^17 - 10607768/6942219*c_0110_2^16 - 31719809/2314073*c_0110_2^15 - 60637882/6942219*c_0110_2^14 + 341560088/6942219*c_0110_2^13 + 501545617/6942219*c_0110_2^12 - 464334724/6942219*c_0110_2^11 - 1270388390/6942219*c_0110_2^10 + 3486568/6942219*c_0110_2^9 + 1518026429/6942219*c_0110_2^8 + 571073104/6942219*c_0110_2^7 - 954961793/6942219*c_0110_2^6 - 539754751/6942219*c_0110_2^5 + 357422189/6942219*c_0110_2^4 + 233505094/6942219*c_0110_2^3 - 74437652/6942219*c_0110_2^2 - 37353947/6942219*c_0110_2 + 1023112/6942219, c_0101_3 + c_0110_2^2 - 1, c_0101_5 - 2856502/6942219*c_0110_2^18 - 7751932/6942219*c_0110_2^17 + 25607317/6942219*c_0110_2^16 + 31369567/2314073*c_0110_2^15 - 52086763/6942219*c_0110_2^14 - 432314755/6942219*c_0110_2^13 - 134081270/6942219*c_0110_2^12 + 986221592/6942219*c_0110_2^11 + 752576995/6942219*c_0110_2^10 - 1213842215/6942219*c_0110_2^9 - 1366503379/6942219*c_0110_2^8 + 821575570/6942219*c_0110_2^7 + 1284895261/6942219*c_0110_2^6 - 312570352/6942219*c_0110_2^5 - 688830010/6942219*c_0110_2^4 + 74124580/6942219*c_0110_2^3 + 203583445/6942219*c_0110_2^2 - 12997457/6942219*c_0110_2 - 14806040/6942219, c_0110_2^19 + 3*c_0110_2^18 - 8*c_0110_2^17 - 35*c_0110_2^16 + 7*c_0110_2^15 + 150*c_0110_2^14 + 94*c_0110_2^13 - 301*c_0110_2^12 - 350*c_0110_2^11 + 285*c_0110_2^10 + 539*c_0110_2^9 - 95*c_0110_2^8 - 444*c_0110_2^7 - 28*c_0110_2^6 + 219*c_0110_2^5 + 34*c_0110_2^4 - 63*c_0110_2^3 - 9*c_0110_2^2 + 6*c_0110_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB