Magma V2.19-8 Tue Aug 20 2013 16:19:09 on localhost [Seed = 4300155] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3280 geometric_solution 6.40360319 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 1.033616583363 0.776477165015 0 0 4 3 0132 0321 0132 3201 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 1 0 -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 0 0 0 0 0.305157854017 1.058737199121 4 0 5 3 0321 0132 0132 2310 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 -1 0 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 0 0 0 0 0.151602927586 0.938241364309 2 1 5 0 3201 2310 2310 0132 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 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 0.348021656018 0.610620998313 2 6 5 1 0321 0132 1023 0132 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 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 0.128572323721 0.711492565740 6 3 4 2 0321 3201 1023 0132 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.788787752130 1.705624045012 5 4 6 6 0321 0132 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.294394996333 0.904806925980 ==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_5']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0011_4'], '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_4'], 'c_0011_6' : negation(d['c_0011_4']), '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_0011_4']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_1001_2']), 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_2']})} 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_4, c_0011_5, c_0101_0, c_0101_5, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 2721481424/244279585*c_1001_2^14 - 16414675621/244279585*c_1001_2^13 - 11002179477/244279585*c_1001_2^12 + 86106015269/244279585*c_1001_2^11 + 98115755582/244279585*c_1001_2^10 - 209462548807/244279585*c_1001_2^9 - 265753881831/244279585*c_1001_2^8 + 239699598426/244279585*c_1001_2^7 + 74068801990/48855917*c_1001_2^6 - 94765461673/244279585*c_1001_2^5 - 221404205546/244279585*c_1001_2^4 + 2268947418/244279585*c_1001_2^3 + 17739861042/244279585*c_1001_2^2 - 9008263336/244279585*c_1001_2 - 2444176098/244279585, c_0011_0 - 1, c_0011_3 + 6430030/4441447*c_1001_2^14 + 41360922/4441447*c_1001_2^13 + 41226757/4441447*c_1001_2^12 - 194862632/4441447*c_1001_2^11 - 313592389/4441447*c_1001_2^10 + 416168171/4441447*c_1001_2^9 + 839003404/4441447*c_1001_2^8 - 357049026/4441447*c_1001_2^7 - 1147404031/4441447*c_1001_2^6 - 62695872/4441447*c_1001_2^5 + 690470348/4441447*c_1001_2^4 + 167557978/4441447*c_1001_2^3 - 106720749/4441447*c_1001_2^2 + 2739243/4441447*c_1001_2 + 17769794/4441447, c_0011_4 - 2780742/4441447*c_1001_2^14 - 18287379/4441447*c_1001_2^13 - 19974935/4441447*c_1001_2^12 + 84073041/4441447*c_1001_2^11 + 148195388/4441447*c_1001_2^10 - 174926535/4441447*c_1001_2^9 - 398363988/4441447*c_1001_2^8 + 141286697/4441447*c_1001_2^7 + 547806813/4441447*c_1001_2^6 + 47378674/4441447*c_1001_2^5 - 343625926/4441447*c_1001_2^4 - 86557349/4441447*c_1001_2^3 + 71831356/4441447*c_1001_2^2 + 769636/4441447*c_1001_2 - 11339764/4441447, c_0011_5 - 592146/4441447*c_1001_2^14 - 3212178/4441447*c_1001_2^13 - 173374/4441447*c_1001_2^12 + 20466292/4441447*c_1001_2^11 + 10373958/4441447*c_1001_2^10 - 57885505/4441447*c_1001_2^9 - 28843377/4441447*c_1001_2^8 + 83125234/4441447*c_1001_2^7 + 40912617/4441447*c_1001_2^6 - 58235504/4441447*c_1001_2^5 - 17495975/4441447*c_1001_2^4 + 22042592/4441447*c_1001_2^3 - 15872695/4441447*c_1001_2^2 - 6030227/4441447*c_1001_2 + 5600137/4441447, c_0101_0 - 6361559/4441447*c_1001_2^14 - 38761500/4441447*c_1001_2^13 - 28066268/4441447*c_1001_2^12 + 199654987/4441447*c_1001_2^11 + 240674199/4441447*c_1001_2^10 - 478401042/4441447*c_1001_2^9 - 648226375/4441447*c_1001_2^8 + 536682731/4441447*c_1001_2^7 + 895093011/4441447*c_1001_2^6 - 198939817/4441447*c_1001_2^5 - 527259382/4441447*c_1001_2^4 + 838687/4441447*c_1001_2^3 + 46650141/4441447*c_1001_2^2 - 30715041/4441447*c_1001_2 - 761422/4441447, c_0101_5 + 959548/4441447*c_1001_2^14 + 8169856/4441447*c_1001_2^13 + 18281847/4441447*c_1001_2^12 - 20443813/4441447*c_1001_2^11 - 109423723/4441447*c_1001_2^10 - 13030285/4441447*c_1001_2^9 + 274155388/4441447*c_1001_2^8 + 150779841/4441447*c_1001_2^7 - 332598962/4441447*c_1001_2^6 - 293546703/4441447*c_1001_2^5 + 151363875/4441447*c_1001_2^4 + 194035729/4441447*c_1001_2^3 - 1546198/4441447*c_1001_2^2 - 13778109/4441447*c_1001_2 + 7573365/4441447, c_1001_2^15 + 7*c_1001_2^14 + 10*c_1001_2^13 - 27*c_1001_2^12 - 66*c_1001_2^11 + 39*c_1001_2^10 + 168*c_1001_2^9 + 13*c_1001_2^8 - 212*c_1001_2^7 - 103*c_1001_2^6 + 105*c_1001_2^5 + 80*c_1001_2^4 - 4*c_1001_2^3 - 5*c_1001_2^2 + 4*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB