Magma V2.19-8 Tue Aug 20 2013 16:17:33 on localhost [Seed = 2732801662] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1798 geometric_solution 5.46848224 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 3201 2031 1302 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 -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 0.538584419161 0.207227435871 0 2 0 3 0132 0132 2310 0132 0 0 0 0 0 0 0 0 -1 0 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 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 1.006176688516 0.768248320153 4 1 5 3 0132 0132 0132 1230 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 1 0 0 0 1 -1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.049538570881 0.910095220846 2 5 1 4 3012 3201 0132 1023 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 1 -1 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.049538570881 0.910095220846 2 4 4 3 0132 3201 2310 1023 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 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 -0.015478237463 0.748379543937 6 6 3 2 0132 3201 2310 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 1 -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 0.550592135049 0.994398515581 5 6 5 6 0132 2310 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.808064792203 0.476242840856 ==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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(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_5'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_5']), '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_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + c_0101_5^3 - 2*c_0101_5^2 - 2, c_0011_0 - 1, c_0011_3 + c_0101_5^3 - 2*c_0101_5^2 - c_0101_5 + 2, c_0011_5 - c_0101_5^3 + c_0101_5^2 + 2*c_0101_5, c_0101_0 + c_0101_5^2 - c_0101_5 - 1, c_0101_1 + c_0101_5^3 - 2*c_0101_5^2 - c_0101_5 + 2, c_0101_2 + 1, c_0101_5^4 - 3*c_0101_5^3 + 4*c_0101_5 - 1 ], 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_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 1813897535451/19545739264*c_0101_5^16 - 6161613210163/9772869632*c_0101_5^15 + 20495952331637/9772869632*c_0101_5^14 - 1398327059081/305402176*c_0101_5^13 + 57878945225991/9772869632*c_0101_5^12 - 64977725862277/19545739264*c_0101_5^11 - 18322764870497/4886434816*c_0101_5^10 + 356707915414283/19545739264*c_0101_5^9 - 582966382771239/19545739264*c_0101_5^8 + 623280730540395/19545739264*c_0101_5^7 - 153277312516319/4886434816*c_0101_5^6 + 134489939820393/9772869632*c_0101_5^5 - 59374521176467/9772869632*c_0101_5^4 - 19332095972635/9772869632*c_0101_5^3 + 58834997519609/19545739264*c_0101_5^2 - 27555808427141/19545739264*c_0101_5 + 8751965641103/19545739264, c_0011_0 - 1, c_0011_3 - 252985007/1221608704*c_0101_5^16 + 811278991/610804352*c_0101_5^15 - 2621844009/610804352*c_0101_5^14 + 715956701/76350544*c_0101_5^13 - 7484681539/610804352*c_0101_5^12 + 10127812961/1221608704*c_0101_5^11 + 1471714189/305402176*c_0101_5^10 - 44305913375/1221608704*c_0101_5^9 + 72664091547/1221608704*c_0101_5^8 - 88117058559/1221608704*c_0101_5^7 + 23742691799/305402176*c_0101_5^6 - 20806213149/610804352*c_0101_5^5 + 17846179327/610804352*c_0101_5^4 + 3847990647/610804352*c_0101_5^3 - 4075625253/1221608704*c_0101_5^2 + 5798941329/1221608704*c_0101_5 - 2059896291/1221608704, c_0011_5 - 86312565/305402176*c_0101_5^16 + 295205291/152701088*c_0101_5^15 - 985795889/152701088*c_0101_5^14 + 1077598219/76350544*c_0101_5^13 - 2803435675/152701088*c_0101_5^12 + 3225800911/305402176*c_0101_5^11 + 819476147/76350544*c_0101_5^10 - 16674458245/305402176*c_0101_5^9 + 27958083973/305402176*c_0101_5^8 - 30480672741/305402176*c_0101_5^7 + 951084885/9543818*c_0101_5^6 - 7543541401/152701088*c_0101_5^5 + 3504562007/152701088*c_0101_5^4 + 645123067/152701088*c_0101_5^3 - 2292018931/305402176*c_0101_5^2 + 1726499763/305402176*c_0101_5 - 402559421/305402176, c_0101_0 + 1574624185/2443217408*c_0101_5^16 - 5381824489/1221608704*c_0101_5^15 + 17995321343/1221608704*c_0101_5^14 - 4933791221/152701088*c_0101_5^13 + 51485912821/1221608704*c_0101_5^12 - 58845471127/2443217408*c_0101_5^11 - 15946895627/610804352*c_0101_5^10 + 314701049545/2443217408*c_0101_5^9 - 518525419021/2443217408*c_0101_5^8 + 554923367145/2443217408*c_0101_5^7 - 135735815833/610804352*c_0101_5^6 + 119866286091/1221608704*c_0101_5^5 - 48565741593/1221608704*c_0101_5^4 - 18628267393/1221608704*c_0101_5^3 + 57857892979/2443217408*c_0101_5^2 - 27821350087/2443217408*c_0101_5 + 6194283909/2443217408, c_0101_1 - 332845075/4886434816*c_0101_5^16 + 1435298203/2443217408*c_0101_5^15 - 5687410541/2443217408*c_0101_5^14 + 881702941/152701088*c_0101_5^13 - 22380060335/2443217408*c_0101_5^12 + 36693441901/4886434816*c_0101_5^11 + 2274447913/1221608704*c_0101_5^10 - 97447045315/4886434816*c_0101_5^9 + 211129551647/4886434816*c_0101_5^8 - 250697554467/4886434816*c_0101_5^7 + 58578220399/1221608704*c_0101_5^6 - 84643225185/2443217408*c_0101_5^5 + 13990184539/2443217408*c_0101_5^4 - 5728436349/2443217408*c_0101_5^3 - 42348335041/4886434816*c_0101_5^2 + 16828602765/4886434816*c_0101_5 - 1064265671/4886434816, c_0101_2 + 175033413/1221608704*c_0101_5^16 - 553907277/610804352*c_0101_5^15 + 1679267915/610804352*c_0101_5^14 - 51592107/9543818*c_0101_5^13 + 3426684089/610804352*c_0101_5^12 - 1033470875/1221608704*c_0101_5^11 - 2154567935/305402176*c_0101_5^10 + 28487655957/1221608704*c_0101_5^9 - 38356604985/1221608704*c_0101_5^8 + 31701183413/1221608704*c_0101_5^7 - 8869336177/305402176*c_0101_5^6 + 3790380311/610804352*c_0101_5^5 - 1574371245/610804352*c_0101_5^4 + 810552859/610804352*c_0101_5^3 + 4892506663/1221608704*c_0101_5^2 + 967683621/1221608704*c_0101_5 + 301149649/1221608704, c_0101_5^17 - 7*c_0101_5^16 + 24*c_0101_5^15 - 54*c_0101_5^14 + 74*c_0101_5^13 - 49*c_0101_5^12 - 33*c_0101_5^11 + 205*c_0101_5^10 - 362*c_0101_5^9 + 410*c_0101_5^8 - 409*c_0101_5^7 + 218*c_0101_5^6 - 96*c_0101_5^5 - 8*c_0101_5^4 + 37*c_0101_5^3 - 22*c_0101_5^2 + 8*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB