Magma V2.19-8 Tue Aug 20 2013 16:16:20 on localhost [Seed = 4021187338] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0615 geometric_solution 4.61891084 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 2310 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 1 0 -1 0 0 0 0 0 -1 0 1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.285953336541 0.885096143439 0 4 2 4 0132 0132 1302 1023 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 0 0 0 0 2 -1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.669480961612 1.023037988466 1 0 5 5 2031 0132 2310 0132 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 -1 0 1 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.896522999707 1.592542902444 0 4 4 0 3201 0213 1302 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 -1 0 1 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 -0.437226806638 0.545779304017 3 1 3 1 2031 0132 0213 1023 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 0 0 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.608093621338 0.230920347365 6 2 2 6 0132 3201 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 -0.231210828261 0.206514679377 5 5 6 6 0132 2310 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5.243996331779 2.217204457706 ==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_0101_6'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0101_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_5']), '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' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0110_4'], 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0110_4'], 'c_1010_0' : negation(d['c_0101_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_3, c_0011_5, c_0101_0, c_0101_2, c_0101_6, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t - 11810282893472990/423383675744297*c_0110_4^18 + 61260778484432149/423383675744297*c_0110_4^17 - 2460131889381690/423383675744297*c_0110_4^16 - 126276690703394891/423383675744297*c_0110_4^15 - 23757756233300873/22283351354963*c_0110_4^14 - 359511204726696602/423383675744297*c_0110_4^13 + 1193125573328684509/423383675744297*c_0110_4^12 + 163020019121351485/22283351354963*c_0110_4^11 + 2412260139532898789/423383675744297*c_0110_4^10 - 1599109742386951507/423383675744297*c_0110_4^9 - 4301466682750058479/423383675744297*c_0110_4^8 - 2082909657713912310/423383675744297*c_0110_4^7 + 1141566960690700521/423383675744297*c_0110_4^6 + 1300241988568712834/423383675744297*c_0110_4^5 + 104964342007031773/423383675744297*c_0110_4^4 - 229660863167505056/423383675744297*c_0110_4^3 + 3694060877435674/423383675744297*c_0110_4^2 + 62760500850734590/423383675744297*c_0110_4 + 15385225504062106/423383675744297, c_0011_0 - 1, c_0011_3 + c_0110_4, c_0011_5 + 80994780926322/423383675744297*c_0110_4^18 - 443020349540702/423383675744297*c_0110_4^17 + 96433432892020/423383675744297*c_0110_4^16 + 59692819696239/22283351354963*c_0110_4^15 + 2407508954567429/423383675744297*c_0110_4^14 + 1628054521168543/423383675744297*c_0110_4^13 - 9980226226307073/423383675744297*c_0110_4^12 - 18057862856726231/423383675744297*c_0110_4^11 - 6796605677084240/423383675744297*c_0110_4^10 + 18578377022886035/423383675744297*c_0110_4^9 + 24347731887821479/423383675744297*c_0110_4^8 - 164166903627805/423383675744297*c_0110_4^7 - 13264444800341910/423383675744297*c_0110_4^6 - 3865531800517808/423383675744297*c_0110_4^5 + 412569930392044/423383675744297*c_0110_4^4 + 55580701471380/423383675744297*c_0110_4^3 + 335676725916470/423383675744297*c_0110_4^2 + 332247811183547/423383675744297*c_0110_4 + 102432545074622/423383675744297, c_0101_0 - 163340211273922/423383675744297*c_0110_4^18 + 932532460703882/423383675744297*c_0110_4^17 - 504407729180286/423383675744297*c_0110_4^16 - 82492137751942/22283351354963*c_0110_4^15 - 5425296776827738/423383675744297*c_0110_4^14 - 1983687129646504/423383675744297*c_0110_4^13 + 18245336122326049/423383675744297*c_0110_4^12 + 33778402167287711/423383675744297*c_0110_4^11 + 14173413570269912/423383675744297*c_0110_4^10 - 34158527687813464/423383675744297*c_0110_4^9 - 45349854352239685/423383675744297*c_0110_4^8 - 2723765510324584/423383675744297*c_0110_4^7 + 23776401578479556/423383675744297*c_0110_4^6 + 8764754846413139/423383675744297*c_0110_4^5 - 5295556646195435/423383675744297*c_0110_4^4 - 2461985324469473/423383675744297*c_0110_4^3 + 1429584438440653/423383675744297*c_0110_4^2 - 99103654093811/423383675744297*c_0110_4 - 358790893516688/423383675744297, c_0101_2 + 115831404334272/423383675744297*c_0110_4^18 - 667747940454208/423383675744297*c_0110_4^17 + 392731918000166/423383675744297*c_0110_4^16 + 58332193375218/22283351354963*c_0110_4^15 + 3733220264940766/423383675744297*c_0110_4^14 + 1257954149838161/423383675744297*c_0110_4^13 - 13100238468327903/423383675744297*c_0110_4^12 - 23068154600184304/423383675744297*c_0110_4^11 - 8677454729081632/423383675744297*c_0110_4^10 + 24559756072998931/423383675744297*c_0110_4^9 + 30597637589555504/423383675744297*c_0110_4^8 + 92070943760866/423383675744297*c_0110_4^7 - 16552977901044771/423383675744297*c_0110_4^6 - 5132216434921513/423383675744297*c_0110_4^5 + 3908282915213485/423383675744297*c_0110_4^4 + 1429584438440653/423383675744297*c_0110_4^3 - 2155889442577328/423383675744297*c_0110_4^2 - 522131104790610/423383675744297*c_0110_4 + 163340211273922/423383675744297, c_0101_6 - 360829896187008/423383675744297*c_0110_4^18 + 2066416949877998/423383675744297*c_0110_4^17 - 1202942524429731/423383675744297*c_0110_4^16 - 164290777379743/22283351354963*c_0110_4^15 - 12216492426945690/423383675744297*c_0110_4^14 - 4561584958700271/423383675744297*c_0110_4^13 + 38615110536214646/423383675744297*c_0110_4^12 + 74407901052671877/423383675744297*c_0110_4^11 + 36018732167234077/423383675744297*c_0110_4^10 - 66400564999011620/423383675744297*c_0110_4^9 - 99546493993861699/423383675744297*c_0110_4^8 - 20123871143728914/423383675744297*c_0110_4^7 + 38152202251675283/423383675744297*c_0110_4^6 + 22035200442933386/423383675744297*c_0110_4^5 - 1287460078371630/423383675744297*c_0110_4^4 - 2919673040725560/423383675744297*c_0110_4^3 + 982421211700469/423383675744297*c_0110_4^2 + 749246931262977/423383675744297*c_0110_4 + 170059287203222/423383675744297, c_0110_4^19 - 5*c_0110_4^18 - c_0110_4^17 + 12*c_0110_4^16 + 40*c_0110_4^15 + 35*c_0110_4^14 - 104*c_0110_4^13 - 287*c_0110_4^12 - 228*c_0110_4^11 + 156*c_0110_4^10 + 428*c_0110_4^9 + 204*c_0110_4^8 - 145*c_0110_4^7 - 155*c_0110_4^6 + c_0110_4^5 + 39*c_0110_4^4 - 10*c_0110_4^2 - c_0110_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB