Magma V2.19-8 Tue Aug 20 2013 23:42:19 on localhost [Seed = 442269514] Type ? for help. Type -D to quit. Loading file "L14a28911__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L14a28911 geometric_solution 8.60561912 oriented_manifold CS_known 0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 0 0 1 2 1230 3012 0132 0132 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 3 -4 -1 0 0 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 0.414643380874 1.244132876514 3 4 5 0 0132 0132 0132 0132 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 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.342585364280 0.839409683267 6 7 0 5 0132 0132 0132 3201 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 -3 4 -1 0 0 -1 1 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.342585364280 0.839409683267 1 7 7 7 0132 1023 1230 1302 1 0 0 0 0 -1 0 1 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 -5 1 4 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508526505499 0.700008214533 6 1 6 6 1023 0132 2031 3012 0 2 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 6 0 1 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.671793229521 1.083428275957 8 2 8 1 0132 2310 1023 0132 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 3 0 -3 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 1.059642476362 1.077536739324 2 4 4 4 0132 1023 1230 1302 2 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 -6 7 -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 0.671793229521 1.083428275957 3 2 3 3 1023 0132 2031 3012 0 1 0 0 0 1 0 -1 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 3 0 -3 5 0 -4 -1 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508526505499 0.700008214533 5 9 5 9 0132 0132 1023 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 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 0.625419190431 0.227677697690 9 8 9 8 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603494789803 0.065805137539 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0101_6']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_7'], 'c_1001_2' : negation(d['c_0101_0']), 'c_1001_9' : d['c_0110_9'], 'c_1001_8' : d['c_0101_5'], 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0011_5']), 'c_1100_8' : d['c_0011_5'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0101_4']), 'c_1100_7' : negation(d['c_0101_7']), 'c_1100_6' : d['c_0101_4'], 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : negation(d['c_0011_5']), 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : negation(d['c_0011_5']), 'c_1010_7' : negation(d['c_0101_0']), 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0101_7'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0']), 'c_1010_9' : d['c_0101_5'], 'c_1010_8' : d['c_0110_9'], 's_3_1' : negation(d['1']), 's_3_0' : negation(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'], 's_1_7' : 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' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_5'], 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_7' : negation(d['c_0011_1']), 'c_0011_6' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_5']), 'c_0101_8' : d['c_0101_1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_4'], 'c_0110_7' : d['c_0101_7'], 'c_0110_6' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_5, c_0101_0, c_0101_1, c_0101_4, c_0101_5, c_0101_6, c_0101_7, c_0110_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 2200811343730892548823/11539088323896754304288*c_0110_9^8 + 8314385685216331685/339384950702845714832*c_0110_9^7 - 21728795187191107239061/1442386040487094288036*c_0110_9^6 - 416113874032056442052727/5769544161948377152144*c_0110_9^5 - 8623711239933104016333/64826338898296372496*c_0110_9^4 - 872752220959240982813297/5769544161948377152144*c_0110_9^3 + 627567211790260114403/8103292362287046562*c_0110_9^2 - 15895285501494742705327/524504014722579741104*c_0110_9 + 1176524972865240899245291/11539088323896754304288, c_0011_0 - 1, c_0011_1 + 1292420783/259414484003*c_0110_9^8 + 482933998/259414484003*c_0110_9^7 - 99404485830/259414484003*c_0110_9^6 - 525605069596/259414484003*c_0110_9^5 - 1174212160416/259414484003*c_0110_9^4 - 1540485031338/259414484003*c_0110_9^3 - 206729489955/259414484003*c_0110_9^2 - 3348791448/259414484003*c_0110_9 + 398631536616/259414484003, c_0011_5 + 2003433911/1037657936012*c_0110_9^8 - 58768497/1037657936012*c_0110_9^7 - 80531270603/518828968006*c_0110_9^6 - 179829366788/259414484003*c_0110_9^5 - 1110761598285/1037657936012*c_0110_9^4 - 1169633522967/1037657936012*c_0110_9^3 + 292185623811/259414484003*c_0110_9^2 - 227615173084/259414484003*c_0110_9 + 177796075118/259414484003, c_0101_0 - 4043314839/1037657936012*c_0110_9^8 - 582288187/518828968006*c_0110_9^7 + 80007759413/259414484003*c_0110_9^6 + 394322149623/259414484003*c_0110_9^5 + 3018814575083/1037657936012*c_0110_9^4 + 1761804947701/518828968006*c_0110_9^3 - 386230659442/259414484003*c_0110_9^2 + 82170182575/259414484003*c_0110_9 - 333279424010/259414484003, c_0101_1 + 1126368293/1037657936012*c_0110_9^8 + 383579809/518828968006*c_0110_9^7 - 19396726417/259414484003*c_0110_9^6 - 131282919973/259414484003*c_0110_9^5 - 1678034066581/1037657936012*c_0110_9^4 - 1319165114975/518828968006*c_0110_9^3 - 592960149397/259414484003*c_0110_9^2 + 78821391127/259414484003*c_0110_9 + 65352112606/259414484003, c_0101_4 - 1, c_0101_5 + 545278213/518828968006*c_0110_9^8 + 1169792067/1037657936012*c_0110_9^7 - 23263657464/259414484003*c_0110_9^6 - 117340231341/259414484003*c_0110_9^5 - 358040180913/518828968006*c_0110_9^4 - 306618287507/1037657936012*c_0110_9^3 + 490966307593/259414484003*c_0110_9^2 + 110769269315/259414484003*c_0110_9 + 124072641866/259414484003, c_0101_6 + 1292420783/259414484003*c_0110_9^8 + 482933998/259414484003*c_0110_9^7 - 99404485830/259414484003*c_0110_9^6 - 525605069596/259414484003*c_0110_9^5 - 1174212160416/259414484003*c_0110_9^4 - 1540485031338/259414484003*c_0110_9^3 - 206729489955/259414484003*c_0110_9^2 - 3348791448/259414484003*c_0110_9 + 139217052613/259414484003, c_0101_7 - 1, c_0110_9^9 - 79*c_0110_9^7 - 368*c_0110_9^6 - 649*c_0110_9^5 - 704*c_0110_9^4 + 507*c_0110_9^3 - 212*c_0110_9^2 + 556*c_0110_9 - 68 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB