Magma V2.19-8 Tue Aug 20 2013 16:14:05 on localhost [Seed = 1781266005] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s037 geometric_solution 3.57436767 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.347931836602 0.106560015119 0 2 2 0 3201 0132 1023 0132 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 -1 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 1.115480836217 0.092906248379 3 1 1 3 0132 0132 1023 1023 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 0 0 0 0 0 1 -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 1.132536469916 0.222410774099 2 4 5 2 0132 0132 0132 1023 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 -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 0.821452969810 0.435503998304 5 3 5 5 2103 0132 1302 2031 0 0 0 0 0 1 0 -1 -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 1 0 -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 0.503216084396 0.515559278951 4 4 4 3 2031 1302 2103 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 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 0.503216084396 0.515559278951 ==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_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' : negation(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' : d['1'], 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_1']), 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0011_1']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_5, c_0101_0, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 11783799780407/1471096134397*c_0101_3^14 + 62511362895323/1471096134397*c_0101_3^13 + 37155388594102/1471096134397*c_0101_3^12 - 413067096092043/1471096134397*c_0101_3^11 - 580369217078639/1471096134397*c_0101_3^10 + 490310954596708/1471096134397*c_0101_3^9 + 2866797537839580/1471096134397*c_0101_3^8 - 323016328773891/1471096134397*c_0101_3^7 - 4762399841965417/1471096134397*c_0101_3^6 + 282426641364563/1471096134397*c_0101_3^5 + 3087753571772300/1471096134397*c_0101_3^4 - 2282102253008/1471096134397*c_0101_3^3 - 707967212437958/1471096134397*c_0101_3^2 - 52586585017768/1471096134397*c_0101_3 + 64408459821889/1471096134397, c_0011_0 - 1, c_0011_1 + 624095565190/1471096134397*c_0101_3^14 + 3514280961554/1471096134397*c_0101_3^13 + 3092707119362/1471096134397*c_0101_3^12 - 20922782350892/1471096134397*c_0101_3^11 - 37236222561653/1471096134397*c_0101_3^10 + 15319438308396/1471096134397*c_0101_3^9 + 156952866489568/1471096134397*c_0101_3^8 + 29051911888801/1471096134397*c_0101_3^7 - 251837495555297/1471096134397*c_0101_3^6 - 58782041329004/1471096134397*c_0101_3^5 + 162996860923075/1471096134397*c_0101_3^4 + 46384180029162/1471096134397*c_0101_3^3 - 33041034374279/1471096134397*c_0101_3^2 - 11968640240414/1471096134397*c_0101_3 + 720458204209/1471096134397, c_0011_5 + 82226706719/1471096134397*c_0101_3^14 + 509455805578/1471096134397*c_0101_3^13 + 717281470300/1471096134397*c_0101_3^12 - 2173474396898/1471096134397*c_0101_3^11 - 5753023630929/1471096134397*c_0101_3^10 - 1825770348489/1471096134397*c_0101_3^9 + 16637743685651/1471096134397*c_0101_3^8 + 11637544380074/1471096134397*c_0101_3^7 - 19874398036875/1471096134397*c_0101_3^6 - 7125390963103/1471096134397*c_0101_3^5 + 5880326607267/1471096134397*c_0101_3^4 - 2881726515207/1471096134397*c_0101_3^3 + 1083402642523/1471096134397*c_0101_3^2 + 2174011811056/1471096134397*c_0101_3 + 777998100183/1471096134397, c_0101_0 - 950833581564/1471096134397*c_0101_3^14 - 5185149419177/1471096134397*c_0101_3^13 - 3754816371617/1471096134397*c_0101_3^12 + 32928915195805/1471096134397*c_0101_3^11 + 52284676918463/1471096134397*c_0101_3^10 - 31452579988847/1471096134397*c_0101_3^9 - 238264118150978/1471096134397*c_0101_3^8 - 13209620349893/1471096134397*c_0101_3^7 + 382223355312160/1471096134397*c_0101_3^6 + 45705177288438/1471096134397*c_0101_3^5 - 242796549249899/1471096134397*c_0101_3^4 - 41637563828908/1471096134397*c_0101_3^3 + 51309973062156/1471096134397*c_0101_3^2 + 8298318120198/1471096134397*c_0101_3 - 3279698374141/1471096134397, c_0101_2 - 1136751193572/1471096134397*c_0101_3^14 - 6285834744786/1471096134397*c_0101_3^13 - 5081898115127/1471096134397*c_0101_3^12 + 38238414253374/1471096134397*c_0101_3^11 + 64044071809989/1471096134397*c_0101_3^10 - 31013637740485/1471096134397*c_0101_3^9 - 280018854395952/1471096134397*c_0101_3^8 - 30284230884798/1471096134397*c_0101_3^7 + 440143469619924/1471096134397*c_0101_3^6 + 72622623113601/1471096134397*c_0101_3^5 - 275706579105111/1471096134397*c_0101_3^4 - 62213858422592/1471096134397*c_0101_3^3 + 57624892153499/1471096134397*c_0101_3^2 + 14409193314084/1471096134397*c_0101_3 - 2865582875319/1471096134397, c_0101_3^15 + 6*c_0101_3^14 + 7*c_0101_3^13 - 32*c_0101_3^12 - 73*c_0101_3^11 + 2*c_0101_3^10 + 264*c_0101_3^9 + 147*c_0101_3^8 - 385*c_0101_3^7 - 258*c_0101_3^6 + 217*c_0101_3^5 + 179*c_0101_3^4 - 21*c_0101_3^3 - 39*c_0101_3^2 - 5*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB