Magma V2.19-8 Tue Aug 20 2013 16:18:30 on localhost [Seed = 1065263619] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2695 geometric_solution 5.94995970 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 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 1.024801551983 0.821967186583 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 0.405303530000 0.268822706104 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 0.647481207683 0.967778523683 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 1.058770527587 0.613981446505 4 6 0 4 3012 0132 0132 1230 0 0 0 0 0 1 -1 0 0 0 0 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 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 0 0 0 0.612362680674 0.716318255401 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 1.560538485476 1.013753039958 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 1.024801551983 0.821967186583 ==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' : 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' : d['c_0011_3'], '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: 20 Groebner basis: [ t - 639522174547/57136826201*c_0110_2^19 - 5499196189755/114273652402*c_0110_2^18 + 3324538353256/57136826201*c_0110_2^17 + 60580426303715/114273652402*c_0110_2^16 + 30552522439337/114273652402*c_0110_2^15 - 249170285290965/114273652402*c_0110_2^14 - 43998880026389/16324807486*c_0110_2^13 + 456061156077053/114273652402*c_0110_2^12 + 65037580144224/8162403743*c_0110_2^11 - 140151067240930/57136826201*c_0110_2^10 - 1279939944097679/114273652402*c_0110_2^9 - 2296866353551/1255754422*c_0110_2^8 + 35034200004459/4395140477*c_0110_2^7 + 9977661841753/3007201379*c_0110_2^6 - 327255766121859/114273652402*c_0110_2^5 - 203094879598383/114273652402*c_0110_2^4 + 29498355814197/57136826201*c_0110_2^3 + 27333438403601/57136826201*c_0110_2^2 - 2970028157178/57136826201*c_0110_2 - 4780447649539/114273652402, c_0011_0 - 1, c_0011_3 - 1371542/2542013*c_0110_2^19 - 14308131/5084026*c_0110_2^18 + 1219776/2542013*c_0110_2^17 + 137244891/5084026*c_0110_2^16 + 183179879/5084026*c_0110_2^15 - 423047075/5084026*c_0110_2^14 - 1061806517/5084026*c_0110_2^13 + 241282693/5084026*c_0110_2^12 + 1198809587/2542013*c_0110_2^11 + 573412213/2542013*c_0110_2^10 - 2375219727/5084026*c_0110_2^9 - 2290858913/5084026*c_0110_2^8 + 381286142/2542013*c_0110_2^7 + 786000320/2542013*c_0110_2^6 + 184137319/5084026*c_0110_2^5 - 466705625/5084026*c_0110_2^4 - 79780765/2542013*c_0110_2^3 + 32134165/2542013*c_0110_2^2 + 15898731/2542013*c_0110_2 - 384299/5084026, c_0101_0 - 96855/2542013*c_0110_2^19 - 1159381/2542013*c_0110_2^18 - 3132929/2542013*c_0110_2^17 + 6412154/2542013*c_0110_2^16 + 38984662/2542013*c_0110_2^15 + 19001842/2542013*c_0110_2^14 - 151584643/2542013*c_0110_2^13 - 213496409/2542013*c_0110_2^12 + 221927146/2542013*c_0110_2^11 + 592409747/2542013*c_0110_2^10 + 3558853/2542013*c_0110_2^9 - 728031911/2542013*c_0110_2^8 - 329797822/2542013*c_0110_2^7 + 392553964/2542013*c_0110_2^6 + 313393785/2542013*c_0110_2^5 - 59368618/2542013*c_0110_2^4 - 114869876/2542013*c_0110_2^3 - 19206367/2542013*c_0110_2^2 + 17189004/2542013*c_0110_2 + 4721804/2542013, c_0101_1 - 1534577/5084026*c_0110_2^19 - 8968047/5084026*c_0110_2^18 - 3548361/5084026*c_0110_2^17 + 39002990/2542013*c_0110_2^16 + 74689942/2542013*c_0110_2^15 - 88915168/2542013*c_0110_2^14 - 369496575/2542013*c_0110_2^13 - 206108995/5084026*c_0110_2^12 + 718814238/2542013*c_0110_2^11 + 1395459203/5084026*c_0110_2^10 - 506493606/2542013*c_0110_2^9 - 2004107229/5084026*c_0110_2^8 - 91995837/2542013*c_0110_2^7 + 1116065077/5084026*c_0110_2^6 + 229715041/2542013*c_0110_2^5 - 252048669/5084026*c_0110_2^4 - 84489055/2542013*c_0110_2^3 + 11980742/2542013*c_0110_2^2 + 29395691/5084026*c_0110_2 + 717153/5084026, c_0101_3 - c_0110_2^2 + 1, c_0101_5 + 3626531/5084026*c_0110_2^19 + 8116429/2542013*c_0110_2^18 - 15732479/5084026*c_0110_2^17 - 173028167/5084026*c_0110_2^16 - 116884323/5084026*c_0110_2^15 + 671933105/5084026*c_0110_2^14 + 970935477/5084026*c_0110_2^13 - 540374877/2542013*c_0110_2^12 - 1332861238/2542013*c_0110_2^11 + 298028753/5084026*c_0110_2^10 + 3459362593/5084026*c_0110_2^9 + 562852516/2542013*c_0110_2^8 - 1085049581/2542013*c_0110_2^7 - 1308010677/5084026*c_0110_2^6 + 609009489/5084026*c_0110_2^5 + 289299072/2542013*c_0110_2^4 - 27359053/2542013*c_0110_2^3 - 62042861/2542013*c_0110_2^2 - 2310769/5084026*c_0110_2 + 3860399/2542013, c_0110_2^20 + 5*c_0110_2^19 - 2*c_0110_2^18 - 50*c_0110_2^17 - 57*c_0110_2^16 + 169*c_0110_2^15 + 363*c_0110_2^14 - 164*c_0110_2^13 - 887*c_0110_2^12 - 275*c_0110_2^11 + 1004*c_0110_2^10 + 752*c_0110_2^9 - 481*c_0110_2^8 - 625*c_0110_2^7 + 44*c_0110_2^6 + 244*c_0110_2^5 + 37*c_0110_2^4 - 52*c_0110_2^3 - 13*c_0110_2^2 + 5*c_0110_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB