Magma V2.19-8 Tue Aug 20 2013 16:18:13 on localhost [Seed = 3137021825] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2424 geometric_solution 5.77404809 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 0 1 -1 0 0 0 0 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 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 0.872256635736 0.709764563781 0 3 3 4 0132 0132 1230 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.626864356526 0.869116796407 4 3 4 0 0321 0213 0213 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 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 0.482698831056 0.513437022237 5 1 2 1 0132 0132 0213 3012 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.714581241752 0.288413983626 2 2 1 5 0321 0213 0132 2031 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 0 0 0 0 0 0 0 0 0.256579551273 0.419076347535 3 4 6 6 0132 1302 3201 0132 0 0 0 0 0 0 0 0 1 0 -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 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 0.542307989573 0.636660952797 5 6 5 6 2310 1302 0132 2031 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 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 -1.429714991408 1.061211666137 ==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_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_0101_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0011_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0011_2'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_0']), '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' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : negation(d['c_0011_2']), 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_1001_2'], '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_1, c_0101_5, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 863558585041/3070345793*c_1001_2^17 - 221973258893/323194294*c_1001_2^16 + 8521533202641/3070345793*c_1001_2^15 + 31915923972871/3070345793*c_1001_2^14 - 32775813677570/3070345793*c_1001_2^13 - 369073960181905/6140691586*c_1001_2^12 + 61608121080030/3070345793*c_1001_2^11 + 1091028665594687/6140691586*c_1001_2^10 - 191040805549111/6140691586*c_1001_2^9 - 819723604030516/3070345793*c_1001_2^8 + 108005892294573/3070345793*c_1001_2^7 + 1213599381748741/6140691586*c_1001_2^6 - 52287779351326/3070345793*c_1001_2^5 - 206586855496959/3070345793*c_1001_2^4 + 784368303243/323194294*c_1001_2^3 + 59698488701437/6140691586*c_1001_2^2 + 876266668203/6140691586*c_1001_2 - 2358867775345/6140691586, c_0011_0 - 1, c_0011_2 - 135267071/17010226*c_1001_2^17 - 113368480/8505113*c_1001_2^16 + 768636743/8505113*c_1001_2^15 + 1944192601/8505113*c_1001_2^14 - 8392619007/17010226*c_1001_2^13 - 11731374761/8505113*c_1001_2^12 + 28763874075/17010226*c_1001_2^11 + 68896135543/17010226*c_1001_2^10 - 35255720180/8505113*c_1001_2^9 - 44855873735/8505113*c_1001_2^8 + 91910032827/17010226*c_1001_2^7 + 22545545007/8505113*c_1001_2^6 - 25705087255/8505113*c_1001_2^5 - 4904404741/17010226*c_1001_2^4 + 9995087685/17010226*c_1001_2^3 - 487345585/17010226*c_1001_2^2 - 529385521/17010226*c_1001_2 + 39219720/8505113, c_0011_4 - 30714607/8505113*c_1001_2^17 + 73837857/17010226*c_1001_2^16 + 512658371/8505113*c_1001_2^15 - 92915389/8505113*c_1001_2^14 - 4616363410/8505113*c_1001_2^13 - 637475451/17010226*c_1001_2^12 + 22727204067/8505113*c_1001_2^11 - 629294063/17010226*c_1001_2^10 - 127499605699/17010226*c_1001_2^9 + 17349104299/8505113*c_1001_2^8 + 85859874080/8505113*c_1001_2^7 - 76859875397/17010226*c_1001_2^6 - 49297967704/8505113*c_1001_2^5 + 25858660290/8505113*c_1001_2^4 + 19893132957/17010226*c_1001_2^3 - 10547950611/17010226*c_1001_2^2 - 1311111847/17010226*c_1001_2 + 529385521/17010226, c_0011_6 + 92085979/17010226*c_1001_2^17 + 101930374/8505113*c_1001_2^16 - 478952144/8505113*c_1001_2^15 - 1602749543/8505113*c_1001_2^14 + 4209240699/17010226*c_1001_2^13 + 9457541529/8505113*c_1001_2^12 - 10441465391/17010226*c_1001_2^11 - 56456414289/17010226*c_1001_2^10 + 10332535439/8505113*c_1001_2^9 + 41824787039/8505113*c_1001_2^8 - 24682275985/17010226*c_1001_2^7 - 29939581419/8505113*c_1001_2^6 + 6175542768/8505113*c_1001_2^5 + 19848675805/17010226*c_1001_2^4 - 1824826903/17010226*c_1001_2^3 - 3062582655/17010226*c_1001_2^2 - 19240563/17010226*c_1001_2 + 69861060/8505113, c_0101_1 + 179458623/17010226*c_1001_2^17 + 125842204/8505113*c_1001_2^16 - 1063275708/8505113*c_1001_2^15 - 2298087747/8505113*c_1001_2^14 + 12637325297/17010226*c_1001_2^13 + 14065081146/8505113*c_1001_2^12 - 47440522905/17010226*c_1001_2^11 - 81684137623/17010226*c_1001_2^10 + 60891033619/8505113*c_1001_2^9 + 48200906559/8505113*c_1001_2^8 - 162212374065/17010226*c_1001_2^7 - 15457134825/8505113*c_1001_2^6 + 46816383210/8505113*c_1001_2^5 - 9747049077/17010226*c_1001_2^4 - 19465124311/17010226*c_1001_2^3 + 3925445697/17010226*c_1001_2^2 + 1226093707/17010226*c_1001_2 - 123723435/8505113, c_0101_5 - 72225785/17010226*c_1001_2^17 - 206410683/17010226*c_1001_2^16 + 324042894/8505113*c_1001_2^15 + 1487787452/8505113*c_1001_2^14 - 1749744711/17010226*c_1001_2^13 - 16805664129/17010226*c_1001_2^12 - 507911711/17010226*c_1001_2^11 + 24710729552/8505113*c_1001_2^10 + 8222564091/17010226*c_1001_2^9 - 38682443820/8505113*c_1001_2^8 - 13053092985/17010226*c_1001_2^7 + 62675694213/17010226*c_1001_2^6 + 4424877981/8505113*c_1001_2^5 - 24322779701/17010226*c_1001_2^4 - 1155159045/8505113*c_1001_2^3 + 1997608293/8505113*c_1001_2^2 + 123723435/8505113*c_1001_2 - 196468849/17010226, c_1001_2^18 + c_1001_2^17 - 13*c_1001_2^16 - 22*c_1001_2^15 + 87*c_1001_2^14 + 147*c_1001_2^13 - 358*c_1001_2^12 - 458*c_1001_2^11 + 954*c_1001_2^10 + 583*c_1001_2^9 - 1335*c_1001_2^8 - 245*c_1001_2^7 + 871*c_1001_2^6 - 5*c_1001_2^5 - 244*c_1001_2^4 + 9*c_1001_2^3 + 29*c_1001_2^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB