Magma V2.19-8 Wed Aug 21 2013 00:14:58 on localhost [Seed = 745160925] Type ? for help. Type -D to quit. Loading file "K13n4361__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n4361 geometric_solution 11.33542633 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 1 -1 14 0 0 -14 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570503054663 0.520372963769 0 5 6 6 0132 0132 3201 0132 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 -14 0 0 14 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.569602376489 1.323039646204 7 0 4 8 0132 0132 0132 0132 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 0 14 -15 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.147663728518 1.219020178525 9 10 11 0 0132 0132 0132 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 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 0.591733788823 0.622787192426 8 12 0 2 0132 0132 0132 0132 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 -1 1 0 0 0 14 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.073078983833 1.793819033502 12 1 10 12 2031 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.570503054663 0.520372963769 1 11 1 11 2310 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 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 -1 0 -14 15 0 -15 0 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.595136327194 0.743782243852 2 9 10 10 0132 2103 2103 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 0 1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.391658124932 0.435202830129 4 9 2 11 0132 2310 0132 0132 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 15 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.449897464989 0.772294947594 3 7 12 8 0132 2103 3201 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 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 -0.364380595664 0.613108333745 7 3 7 5 2103 0132 0132 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 -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 -0.142534650636 1.269562104867 6 6 8 3 3201 0132 0132 0132 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 0 0 0 -15 0 15 0 0 0 0 0 -15 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.619249469381 0.449302252976 9 4 5 5 2310 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.043200325771 0.872725707851 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_3']), 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_0110_5'], 'c_1001_5' : d['c_1001_3'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_1001_3'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_0011_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0110_5'], 'c_1010_11' : d['c_1001_3'], 'c_1010_10' : d['c_1001_3'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0101_10'], '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_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' : d['1'], 's_0_1' : 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_0101_5']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : d['c_0011_11'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0011_12']), 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : negation(d['c_0101_5']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_0'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : negation(d['c_1001_0']), 'c_1010_8' : negation(d['c_0101_3']), 'c_1100_8' : d['c_1100_0'], '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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_5'], '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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_12'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_12']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : negation(d['c_0101_0']), 'c_0101_12' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : 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_10'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : negation(d['c_0101_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_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_0110_5, c_1001_0, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 490590554995664623/145655220122327*c_1100_0^12 - 2845311315941626523/145655220122327*c_1100_0^11 - 2531495990520052279/145655220122327*c_1100_0^10 - 1000819730628095847/145655220122327*c_1100_0^9 + 8626852761274469517/145655220122327*c_1100_0^8 + 13008905747402032198/145655220122327*c_1100_0^7 - 9650607743112393858/145655220122327*c_1100_0^6 - 16633375329577928081/145655220122327*c_1100_0^5 - 14132184085386600374/145655220122327*c_1100_0^4 + 13342007456011039989/145655220122327*c_1100_0^3 + 8048216290520586106/145655220122327*c_1100_0^2 - 44449175268352728/1361263739461*c_1100_0 - 2415471293728313832/145655220122327, c_0011_0 - 1, c_0011_10 + 4969352/40884379*c_1100_0^12 - 39950776/40884379*c_1100_0^11 + 41760950/40884379*c_1100_0^10 + 28059845/40884379*c_1100_0^9 + 112312793/40884379*c_1100_0^8 - 63958156/40884379*c_1100_0^7 - 343717970/40884379*c_1100_0^6 + 75635259/40884379*c_1100_0^5 + 94434876/40884379*c_1100_0^4 + 429955161/40884379*c_1100_0^3 - 249457752/40884379*c_1100_0^2 - 284599/382097*c_1100_0 + 51954853/40884379, c_0011_11 - 13948592/40884379*c_1100_0^12 + 83930673/40884379*c_1100_0^11 + 54253597/40884379*c_1100_0^10 + 13149479/40884379*c_1100_0^9 - 247015956/40884379*c_1100_0^8 - 319651114/40884379*c_1100_0^7 + 342672275/40884379*c_1100_0^6 + 404017526/40884379*c_1100_0^5 + 309500929/40884379*c_1100_0^4 - 421013812/40884379*c_1100_0^3 - 150192716/40884379*c_1100_0^2 + 1458499/382097*c_1100_0 + 13783635/40884379, c_0011_12 - 9286627/40884379*c_1100_0^12 + 56628552/40884379*c_1100_0^11 + 29113155/40884379*c_1100_0^10 + 21836356/40884379*c_1100_0^9 - 163119569/40884379*c_1100_0^8 - 190485912/40884379*c_1100_0^7 + 210565044/40884379*c_1100_0^6 + 210772138/40884379*c_1100_0^5 + 239179593/40884379*c_1100_0^4 - 277973925/40884379*c_1100_0^3 + 15282023/40884379*c_1100_0^2 + 601271/382097*c_1100_0 - 13358980/40884379, c_0101_0 + 3819690/40884379*c_1100_0^12 - 21168011/40884379*c_1100_0^11 - 26224071/40884379*c_1100_0^10 - 6757260/40884379*c_1100_0^9 + 60132397/40884379*c_1100_0^8 + 116563824/40884379*c_1100_0^7 - 66978122/40884379*c_1100_0^6 - 149603160/40884379*c_1100_0^5 - 109062776/40884379*c_1100_0^4 + 89967541/40884379*c_1100_0^3 + 103978476/40884379*c_1100_0^2 - 423435/382097*c_1100_0 - 40987325/40884379, c_0101_1 - 6168073/40884379*c_1100_0^12 + 41183737/40884379*c_1100_0^11 - 4937649/40884379*c_1100_0^10 + 16894065/40884379*c_1100_0^9 - 99761800/40884379*c_1100_0^8 - 47591484/40884379*c_1100_0^7 + 170353039/40884379*c_1100_0^6 - 14863004/40884379*c_1100_0^5 + 86198886/40884379*c_1100_0^4 - 199360210/40884379*c_1100_0^3 + 228537647/40884379*c_1100_0^2 + 136985/382097*c_1100_0 - 54673081/40884379, c_0101_10 + 3118554/40884379*c_1100_0^12 - 15444815/40884379*c_1100_0^11 - 34050804/40884379*c_1100_0^10 - 4942291/40884379*c_1100_0^9 + 63357769/40884379*c_1100_0^8 + 142894428/40884379*c_1100_0^7 - 40212005/40884379*c_1100_0^6 - 225635142/40884379*c_1100_0^5 - 152980707/40884379*c_1100_0^4 + 78613715/40884379*c_1100_0^3 + 213255624/40884379*c_1100_0^2 - 464286/382097*c_1100_0 - 41314101/40884379, c_0101_3 + 945221/40884379*c_1100_0^12 - 2932096/40884379*c_1100_0^11 - 20496166/40884379*c_1100_0^10 - 10882880/40884379*c_1100_0^9 + 18859758/40884379*c_1100_0^8 + 75101533/40884379*c_1100_0^7 + 48861065/40884379*c_1100_0^6 - 113708730/40884379*c_1100_0^5 - 113126532/40884379*c_1100_0^4 - 52593212/40884379*c_1100_0^3 + 111711831/40884379*c_1100_0^2 + 525461/382097*c_1100_0 - 31771673/40884379, c_0101_5 - 103156/382097*c_1100_0^12 + 661645/382097*c_1100_0^11 + 144671/382097*c_1100_0^10 + 21986/382097*c_1100_0^9 - 1962524/382097*c_1100_0^8 - 1696137/382097*c_1100_0^7 + 3210475/382097*c_1100_0^6 + 2051781/382097*c_1100_0^5 + 1607041/382097*c_1100_0^4 - 4191413/382097*c_1100_0^3 + 95102/382097*c_1100_0^2 + 1038190/382097*c_1100_0 + 41066/382097, c_0110_5 + c_1100_0, c_1001_0 + 2321288/40884379*c_1100_0^12 - 18644492/40884379*c_1100_0^11 + 18672429/40884379*c_1100_0^10 + 18106677/40884379*c_1100_0^9 + 52307928/40884379*c_1100_0^8 - 37349688/40884379*c_1100_0^7 - 180939587/40884379*c_1100_0^6 + 29336211/40884379*c_1100_0^5 + 88827965/40884379*c_1100_0^4 + 231544742/40884379*c_1100_0^3 - 120849231/40884379*c_1100_0^2 - 442041/382097*c_1100_0 + 28653119/40884379, c_1001_3 - 15650499/40884379*c_1100_0^12 + 99082709/40884379*c_1100_0^11 + 27239838/40884379*c_1100_0^10 + 20419308/40884379*c_1100_0^9 - 270001518/40884379*c_1100_0^8 - 255454494/40884379*c_1100_0^7 + 456368402/40884379*c_1100_0^6 + 260270915/40884379*c_1100_0^5 + 294075921/40884379*c_1100_0^4 - 563472063/40884379*c_1100_0^3 + 90885320/40884379*c_1100_0^2 + 1283467/382097*c_1100_0 - 14338745/40884379, c_1100_0^13 - 6*c_1100_0^12 - 4*c_1100_0^11 - c_1100_0^10 + 18*c_1100_0^9 + 23*c_1100_0^8 - 25*c_1100_0^7 - 30*c_1100_0^6 - 22*c_1100_0^5 + 33*c_1100_0^4 + 11*c_1100_0^3 - 13*c_1100_0^2 - 3*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 4.050 Total time: 4.259 seconds, Total memory usage: 64.12MB