Magma V2.19-8 Wed Aug 21 2013 01:02:15 on localhost [Seed = 2496827182] Type ? for help. Type -D to quit. Loading file "L14n14228__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n14228 geometric_solution 11.71792797 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 1 1 1 1 0 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 1 -1 1 0 -1 0 -1 -1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.977272507702 1.097264628367 0 4 6 5 0132 0132 0132 0132 0 1 1 1 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 -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 0.631438902402 0.444919067687 0 0 8 7 3012 0132 0132 0132 1 1 1 1 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 1 0 -1 0 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.018868721664 0.910966357096 9 5 10 0 0132 2310 0132 0132 1 1 1 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 1 0 -1 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 0.195776538399 0.747822867457 8 1 7 10 2031 0132 2031 2031 0 1 1 1 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 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 1.034550444984 0.408659414399 9 11 1 3 2103 0132 0132 3201 0 1 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 0 0 0 0 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 0.494570379274 0.560467878739 8 10 12 1 0132 2031 0132 0132 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 0 0 0 0 0 0 0 0 0 0 1 0 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 0.518313119354 1.216123276000 11 9 2 4 3201 0321 0132 1302 1 1 0 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.267631815817 0.531438009058 6 12 4 2 0132 1023 1302 0132 1 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 0 0 0 0 0 0 0 0 0 0 -1 0 0 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 -0.296584939599 0.695880221606 3 12 5 7 0132 3201 2103 0321 1 1 0 1 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 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 0.498970987936 1.180944450069 6 4 11 3 1302 1302 2103 0132 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 -1 0 0 1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.152871329303 0.700751579585 10 5 12 7 2103 0132 0213 2310 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 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 0.860094024015 0.969825438378 8 11 9 6 1023 0213 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.518313119354 1.216123276000 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : d['c_1001_11'], 'c_1001_5' : negation(d['c_0110_7']), 'c_1001_4' : negation(d['c_0110_7']), 'c_1001_7' : negation(d['c_0110_5']), 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : negation(d['c_0110_5']), 'c_1001_3' : negation(d['c_1001_11']), 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0011_11'], 'c_1010_12' : d['c_0011_7'], 'c_1010_11' : negation(d['c_0110_7']), 'c_1010_10' : negation(d['c_1001_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_11'], 'c_0101_11' : d['c_0011_12'], 'c_0101_10' : d['c_0011_12'], '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' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_1001_11'], 'c_1100_7' : d['c_0101_4'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : d['c_0101_4'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_7'], 'c_1100_10' : d['c_0101_7'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_11']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_1001_11'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0110_5']), 'c_1010_1' : negation(d['c_0110_7']), 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : negation(d['c_1001_11']), 'c_1010_8' : d['c_0101_2'], 'c_1100_8' : d['c_0101_4'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0011_3']), 's_1_7' : 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_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_12'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_12']), '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_0110_11' : negation(d['c_0101_7']), 'c_0110_10' : negation(d['c_0011_7']), 'c_0110_12' : d['c_0101_2'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_7']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_0']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0110_5']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : negation(d['c_0011_0']), 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_7, c_0101_0, c_0101_2, c_0101_4, c_0101_7, c_0110_5, c_0110_7, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 14135803808204414521/39055485602344640*c_1001_11^11 + 1151838237821986291/751067030814320*c_1001_11^10 - 167056819819496260129/39055485602344640*c_1001_11^9 + 315625163231637007631/39055485602344640*c_1001_11^8 - 452941321435060701629/39055485602344640*c_1001_11^7 + 242806922431323750029/19527742801172320*c_1001_11^6 - 423661290159941803521/39055485602344640*c_1001_11^5 + 252818741343323334713/39055485602344640*c_1001_11^4 - 138148733861121985817/39055485602344640*c_1001_11^3 + 31528345815240976783/39055485602344640*c_1001_11^2 - 9342336913980054807/39055485602344640*c_1001_11 - 2496871617793155037/39055485602344640, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + 137109488/72717497*c_1001_11^11 - 604796554/72717497*c_1001_11^10 + 1585588401/72717497*c_1001_11^9 - 2961644161/72717497*c_1001_11^8 + 4204931540/72717497*c_1001_11^7 - 4686509243/72717497*c_1001_11^6 + 4385641806/72717497*c_1001_11^5 - 3140684066/72717497*c_1001_11^4 + 1621362383/72717497*c_1001_11^3 - 780904944/72717497*c_1001_11^2 + 63725231/72717497*c_1001_11 - 70937202/72717497, c_0011_12 - 1054716159/290869988*c_1001_11^11 + 1222815141/72717497*c_1001_11^10 - 13543603479/290869988*c_1001_11^9 + 25360055485/290869988*c_1001_11^8 - 35072852711/290869988*c_1001_11^7 + 17899046895/145434994*c_1001_11^6 - 28707780543/290869988*c_1001_11^5 + 15926733011/290869988*c_1001_11^4 - 6638297271/290869988*c_1001_11^3 + 858438889/290869988*c_1001_11^2 + 158683055/290869988*c_1001_11 - 76208615/290869988, c_0011_3 - 204173077/581739976*c_1001_11^11 + 1295489783/290869988*c_1001_11^10 - 9674598675/581739976*c_1001_11^9 + 24178804303/581739976*c_1001_11^8 - 42309199547/581739976*c_1001_11^7 + 27940583501/290869988*c_1001_11^6 - 54949097625/581739976*c_1001_11^5 + 43056066107/581739976*c_1001_11^4 - 22781806289/581739976*c_1001_11^3 + 10812017201/581739976*c_1001_11^2 - 2121458019/581739976*c_1001_11 + 470701221/581739976, c_0011_7 - 198346769/145434994*c_1001_11^11 + 1970391681/290869988*c_1001_11^10 - 5660189985/290869988*c_1001_11^9 + 2752859895/72717497*c_1001_11^8 - 15320683187/290869988*c_1001_11^7 + 3784963896/72717497*c_1001_11^6 - 2606344915/72717497*c_1001_11^5 + 3660537005/290869988*c_1001_11^4 + 143873466/72717497*c_1001_11^3 - 1251240543/290869988*c_1001_11^2 + 496508293/145434994*c_1001_11 - 43601007/290869988, c_0101_0 + 3258594493/581739976*c_1001_11^11 - 8702963879/290869988*c_1001_11^10 + 52554169099/581739976*c_1001_11^9 - 109593462799/581739976*c_1001_11^8 + 168862484811/581739976*c_1001_11^7 - 98495637249/290869988*c_1001_11^6 + 179018062753/581739976*c_1001_11^5 - 122973927435/581739976*c_1001_11^4 + 62650394201/581739976*c_1001_11^3 - 25346991449/581739976*c_1001_11^2 + 4311549131/581739976*c_1001_11 - 1050465613/581739976, c_0101_2 + 741292395/145434994*c_1001_11^11 - 5667461063/290869988*c_1001_11^10 + 14690606711/290869988*c_1001_11^9 - 6434069272/72717497*c_1001_11^8 + 34175214541/290869988*c_1001_11^7 - 8307512855/72717497*c_1001_11^6 + 6672277473/72717497*c_1001_11^5 - 12205419875/290869988*c_1001_11^4 + 1500823336/72717497*c_1001_11^3 - 54694887/290869988*c_1001_11^2 - 52662499/145434994*c_1001_11 + 71790321/290869988, c_0101_4 - 225604212/72717497*c_1001_11^11 + 729212828/72717497*c_1001_11^10 - 1573596940/72717497*c_1001_11^9 + 1929263820/72717497*c_1001_11^8 - 1304991837/72717497*c_1001_11^7 - 508512023/72717497*c_1001_11^6 + 1556758465/72717497*c_1001_11^5 - 2406436364/72717497*c_1001_11^4 + 1112904847/72717497*c_1001_11^3 - 891841728/72717497*c_1001_11^2 - 18590877/72717497*c_1001_11 - 10721492/72717497, c_0101_7 + 37555499/145434994*c_1001_11^11 + 114169757/290869988*c_1001_11^10 + 94203419/290869988*c_1001_11^9 - 121941387/72717497*c_1001_11^8 + 1965474217/290869988*c_1001_11^7 - 852911864/72717497*c_1001_11^6 + 1197611063/72717497*c_1001_11^5 - 3379505203/290869988*c_1001_11^4 + 1129151514/72717497*c_1001_11^3 - 855918627/290869988*c_1001_11^2 + 446054941/145434994*c_1001_11 + 53358057/290869988, c_0110_5 - 2160767167/581739976*c_1001_11^11 + 995600461/72717497*c_1001_11^10 - 19704209151/581739976*c_1001_11^9 + 32043175633/581739976*c_1001_11^8 - 39424335679/581739976*c_1001_11^7 + 17139777801/290869988*c_1001_11^6 - 25970169131/581739976*c_1001_11^5 + 9439694583/581739976*c_1001_11^4 - 5058904871/581739976*c_1001_11^3 - 1680475267/581739976*c_1001_11^2 - 1033182901/581739976*c_1001_11 - 320111347/581739976, c_0110_7 - 381802677/72717497*c_1001_11^11 + 1851868524/72717497*c_1001_11^10 - 5359946303/72717497*c_1001_11^9 + 10676832312/72717497*c_1001_11^8 - 15819160658/72717497*c_1001_11^7 + 17638763437/72717497*c_1001_11^6 - 15508620641/72717497*c_1001_11^5 + 9989732666/72717497*c_1001_11^4 - 4983573489/72717497*c_1001_11^3 + 1816871781/72717497*c_1001_11^2 - 273761389/72717497*c_1001_11 + 72470549/72717497, c_1001_11^12 - 71/17*c_1001_11^11 + 197/17*c_1001_11^10 - 370/17*c_1001_11^9 + 530/17*c_1001_11^8 - 569/17*c_1001_11^7 + 503/17*c_1001_11^6 - 308/17*c_1001_11^5 + 180/17*c_1001_11^4 - 50/17*c_1001_11^3 + 20/17*c_1001_11^2 + 1/17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.200 Total time: 0.400 seconds, Total memory usage: 32.09MB