Magma V2.19-8 Tue Aug 20 2013 16:15:53 on localhost [Seed = 1157945727] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0117 geometric_solution 3.63548457 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 2310 2031 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 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 -0.806512564127 0.081715754131 0 0 2 2 0132 3201 2310 0132 0 0 0 0 0 0 0 0 1 0 0 -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 0 0 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 2.718126746238 0.429583365803 3 1 1 4 0132 3201 0132 0132 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 0 0 0 0 0 0 0 0 1 0 -1 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 1.834094515841 1.030928419136 2 5 6 4 0132 0132 0132 2031 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 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 0.078466796962 0.627843027764 6 3 2 5 1230 1302 0132 2310 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 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 -0.238003882754 0.159512897234 4 3 6 6 3201 0132 3120 1230 0 0 0 0 0 -1 0 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.203509175123 0.404516072724 5 4 5 3 3012 3012 3120 0132 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 0 -1 1 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 0.203509175123 0.404516072724 ==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_0011_6'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0101_1']), '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_0101_3'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_0']})} 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_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 1666449889756964/50115535606397*c_0101_3^17 - 13617347949048639/50115535606397*c_0101_3^16 + 50699706948423624/50115535606397*c_0101_3^15 + 551272101378052963/50115535606397*c_0101_3^14 + 350454338484206023/50115535606397*c_0101_3^13 - 3941108977811041379/50115535606397*c_0101_3^12 - 4064500881356948117/50115535606397*c_0101_3^11 + 11745804521071235744/50115535606397*c_0101_3^10 + 11967833701489274922/50115535606397*c_0101_3^9 - 18081012021898520231/50115535606397*c_0101_3^8 - 15493460591256678318/50115535606397*c_0101_3^7 + 15363591924464614446/50115535606397*c_0101_3^6 + 9458806492219235888/50115535606397*c_0101_3^5 - 7013771623400256763/50115535606397*c_0101_3^4 - 34111221487029959/686514186389*c_0101_3^3 + 1459621355298676578/50115535606397*c_0101_3^2 + 208796178198092808/50115535606397*c_0101_3 - 87749454783171465/50115535606397, c_0011_0 - 1, c_0011_2 - 811380492305417/50115535606397*c_0101_3^17 - 3756991340305725/50115535606397*c_0101_3^16 + 38210769848149833/50115535606397*c_0101_3^15 + 134474894348495303/50115535606397*c_0101_3^14 - 314111211348209700/50115535606397*c_0101_3^13 - 858180450896037229/50115535606397*c_0101_3^12 + 1076517138941641752/50115535606397*c_0101_3^11 + 2220732717347356958/50115535606397*c_0101_3^10 - 1902862751528214877/50115535606397*c_0101_3^9 - 2794068797297569407/50115535606397*c_0101_3^8 + 1833807624922597855/50115535606397*c_0101_3^7 + 1751489719922409978/50115535606397*c_0101_3^6 - 921340442162206936/50115535606397*c_0101_3^5 - 506120519448420957/50115535606397*c_0101_3^4 + 2748628479279655/686514186389*c_0101_3^3 + 55960374357583373/50115535606397*c_0101_3^2 - 11408413083620994/50115535606397*c_0101_3 - 1346420127461503/50115535606397, c_0011_4 + 20411592544795/50115535606397*c_0101_3^17 + 88665472574257/50115535606397*c_0101_3^16 - 989839001653307/50115535606397*c_0101_3^15 - 3119311588100017/50115535606397*c_0101_3^14 + 8920700170720970/50115535606397*c_0101_3^13 + 19797406525284994/50115535606397*c_0101_3^12 - 33116257840963926/50115535606397*c_0101_3^11 - 51379271357769969/50115535606397*c_0101_3^10 + 61970709260818925/50115535606397*c_0101_3^9 + 65504940210716410/50115535606397*c_0101_3^8 - 62045740654224471/50115535606397*c_0101_3^7 - 42313005892835657/50115535606397*c_0101_3^6 + 53898594095313/84511864429*c_0101_3^5 + 13030129546890395/50115535606397*c_0101_3^4 - 94487215053336/686514186389*c_0101_3^3 - 1647548920521555/50115535606397*c_0101_3^2 + 235700014627479/50115535606397*c_0101_3 + 42963747400873/50115535606397, c_0011_6 + 785306977576820/50115535606397*c_0101_3^17 + 3659129467037829/50115535606397*c_0101_3^16 - 36853514683932506/50115535606397*c_0101_3^15 - 131108835168887098/50115535606397*c_0101_3^14 + 299198817194675725/50115535606397*c_0101_3^13 + 835039667808204795/50115535606397*c_0101_3^12 - 1011546109556263589/50115535606397*c_0101_3^11 - 2152945440676773794/50115535606397*c_0101_3^10 + 1766339119634973119/50115535606397*c_0101_3^9 + 2694785482316154326/50115535606397*c_0101_3^8 - 1686821232509986076/50115535606397*c_0101_3^7 - 1677566635875153612/50115535606397*c_0101_3^6 + 843018277290178393/50115535606397*c_0101_3^5 + 480021650700596155/50115535606397*c_0101_3^4 - 2508352889826028/686514186389*c_0101_3^3 - 52159111150164900/50115535606397*c_0101_3^2 + 10399889222817231/50115535606397*c_0101_3 + 1228304111503233/50115535606397, c_0101_0 + 161318206443420/50115535606397*c_0101_3^17 + 730573215414239/50115535606397*c_0101_3^16 - 7681745016207891/50115535606397*c_0101_3^15 - 26012028976184783/50115535606397*c_0101_3^14 + 65546864475133803/50115535606397*c_0101_3^13 + 166039966297399474/50115535606397*c_0101_3^12 - 233460789635656426/50115535606397*c_0101_3^11 - 430983958136152086/50115535606397*c_0101_3^10 + 426497193794706262/50115535606397*c_0101_3^9 + 545557394868714447/50115535606397*c_0101_3^8 - 420560143165545115/50115535606397*c_0101_3^7 - 345915805746207320/50115535606397*c_0101_3^6 + 213258149529997338/50115535606397*c_0101_3^5 + 102377184339203914/50115535606397*c_0101_3^4 - 628550962269142/686514186389*c_0101_3^3 - 11942605676579503/50115535606397*c_0101_3^2 + 2332621754259999/50115535606397*c_0101_3 + 294563345529723/50115535606397, c_0101_1 - 880463530071526/50115535606397*c_0101_3^17 - 4082662807097751/50115535606397*c_0101_3^16 + 41412865153518304/50115535606397*c_0101_3^15 + 146088314658250827/50115535606397*c_0101_3^14 - 338746266836053836/50115535606397*c_0101_3^13 - 929737184398488599/50115535606397*c_0101_3^12 + 1152932147325941585/50115535606397*c_0101_3^11 + 2396481323080566439/50115535606397*c_0101_3^10 - 2020941520210848539/50115535606397*c_0101_3^9 - 3000934187020266541/50115535606397*c_0101_3^8 + 1929552701255026348/50115535606397*c_0101_3^7 + 1870930542715270524/50115535606397*c_0101_3^6 - 959603983977473796/50115535606397*c_0101_3^5 - 537285393558989025/50115535606397*c_0101_3^4 + 2824044359732647/686514186389*c_0101_3^3 + 58931384903989493/50115535606397*c_0101_3^2 - 11363050510174798/50115535606397*c_0101_3 - 1380400647795082/50115535606397, c_0101_3^18 + 4*c_0101_3^17 - 50*c_0101_3^16 - 136*c_0101_3^15 + 491*c_0101_3^14 + 812*c_0101_3^13 - 1988*c_0101_3^12 - 1892*c_0101_3^11 + 4051*c_0101_3^10 + 1949*c_0101_3^9 - 4398*c_0101_3^8 - 722*c_0101_3^7 + 2469*c_0101_3^6 - 94*c_0101_3^5 - 630*c_0101_3^4 + 86*c_0101_3^3 + 56*c_0101_3^2 - 7*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB