Magma V2.19-8 Tue Aug 20 2013 16:18:01 on localhost [Seed = 3515895070] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2245 geometric_solution 5.67798938 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 1023 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 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 0.689299667192 0.384940291586 0 4 5 3 0132 0132 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 -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 0.606520972717 0.387843871035 2 0 0 2 3201 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.123820496394 0.494991235572 4 1 0 6 3201 1302 0132 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 0 1 -1 0 0 0 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.606520972717 0.387843871035 5 1 6 3 0213 0132 0213 2310 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 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 0.829766503364 0.748313594692 4 6 6 1 0213 3012 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.624477125234 0.333238585993 5 4 3 5 1230 0213 0132 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 -1 1 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 -0.242905830274 0.889771131779 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_0'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_3'], 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_1'], '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' : d['c_0011_0'], 'c_0011_6' : 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_0011_5']), 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0101_6']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : 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_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 9872357643/1902137110016*c_0101_6^10 + 26644087735/1902137110016*c_0101_6^9 + 13574427479/5706411330048*c_0101_6^8 + 348294089659/2853205665024*c_0101_6^7 - 141145265123/2853205665024*c_0101_6^6 + 89146357933/237767138752*c_0101_6^5 - 2932180133/118883569376*c_0101_6^4 + 17837339475/59441784688*c_0101_6^3 + 2810675695/16211395824*c_0101_6^2 - 10886566633/44581338516*c_0101_6 - 9597288599/44581338516, c_0011_0 - 1, c_0011_3 - 3050865/891348224*c_0101_6^10 + 1453191/891348224*c_0101_6^9 + 18093139/891348224*c_0101_6^8 + 40216243/445674112*c_0101_6^7 + 32568131/222837056*c_0101_6^6 + 5790637/27854632*c_0101_6^5 + 26141341/55709264*c_0101_6^4 + 8270817/27854632*c_0101_6^3 + 2541428/3481829*c_0101_6^2 - 203245/6963658*c_0101_6 + 292234/3481829, c_0011_5 + 6562641/891348224*c_0101_6^10 - 17844379/891348224*c_0101_6^9 + 6653705/891348224*c_0101_6^8 - 95156593/445674112*c_0101_6^7 + 23897145/222837056*c_0101_6^6 - 86714001/111418528*c_0101_6^5 + 22629707/55709264*c_0101_6^4 - 41657917/27854632*c_0101_6^3 + 9919597/13927316*c_0101_6^2 - 3888148/3481829*c_0101_6 + 2910892/3481829, c_0101_0 + 7439343/891348224*c_0101_6^10 - 25991747/891348224*c_0101_6^9 + 9852321/891348224*c_0101_6^8 - 44960875/222837056*c_0101_6^7 + 32495045/111418528*c_0101_6^6 - 16677983/27854632*c_0101_6^5 + 46668957/55709264*c_0101_6^4 - 5486431/6963658*c_0101_6^3 + 9387441/6963658*c_0101_6^2 + 464123/3481829*c_0101_6 + 2999881/3481829, c_0101_1 - 1265775/445674112*c_0101_6^10 + 2233079/445674112*c_0101_6^9 + 1095475/445674112*c_0101_6^8 + 2166813/27854632*c_0101_6^7 + 918815/13927316*c_0101_6^6 + 8033533/27854632*c_0101_6^5 + 6468117/27854632*c_0101_6^4 + 5544503/13927316*c_0101_6^3 + 10125097/6963658*c_0101_6^2 + 723345/3481829*c_0101_6 + 893265/3481829, c_0101_2 - 496125/111418528*c_0101_6^10 + 1195863/111418528*c_0101_6^9 + 68713/27854632*c_0101_6^8 + 13229049/111418528*c_0101_6^7 - 1237643/111418528*c_0101_6^6 + 20053357/55709264*c_0101_6^5 - 9451851/55709264*c_0101_6^4 + 4197133/13927316*c_0101_6^3 - 4065013/6963658*c_0101_6^2 - 486258/3481829*c_0101_6 - 4488742/3481829, c_0101_6^11 - 7/3*c_0101_6^10 + 1/3*c_0101_6^9 - 88/3*c_0101_6^8 + 4*c_0101_6^7 - 344/3*c_0101_6^6 + 16*c_0101_6^5 - 704/3*c_0101_6^4 + 128/3*c_0101_6^3 - 640/3*c_0101_6^2 + 256/3*c_0101_6 - 512/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB