Magma V2.19-8 Wed Aug 21 2013 00:54:51 on localhost [Seed = 2193922245] Type ? for help. Type -D to quit. Loading file "L12n689__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n689 geometric_solution 11.64718796 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 0 -1 0 1 -1 1 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 -2 0 3 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603497066198 0.941738850331 0 5 7 6 0132 0132 0132 0132 1 1 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 0 0 0 0 0 0 1 -1 0 0 -1 1 2 -2 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.723496366346 0.580359437271 8 0 10 9 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 -1 0 1 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 -2 0 2 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.722311028935 0.784714168095 11 7 12 0 0132 0132 0132 0132 1 1 1 0 0 0 0 0 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 -1 0 1 0 0 0 0 3 -3 0 0 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.354947607670 0.887894452378 6 12 0 9 1302 3012 0132 0213 1 1 1 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 1 -1 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 0.735999028996 1.806111033591 11 1 7 12 1023 0132 0321 0321 1 1 0 1 0 0 0 0 0 0 1 -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 0 3 -3 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.102130629836 0.958495171113 8 4 1 10 3120 2031 0132 3120 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 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 0.795891149633 0.776571519714 8 3 5 1 1023 0132 0321 0132 1 1 0 1 0 0 0 0 -1 0 1 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 1 0 -1 -3 0 2 1 0 -1 0 1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.872399555921 0.584778401993 2 7 11 6 0132 1023 3120 3120 1 1 0 1 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 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 0.654408016253 0.352096860477 10 12 2 4 2310 0213 0132 0213 1 1 1 1 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 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.772561137727 2.266021269263 6 11 9 2 3120 0321 3201 0132 1 1 0 1 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 -2 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329242594952 0.247178092737 3 5 8 10 0132 1023 3120 0321 1 1 0 1 0 0 0 0 0 0 0 0 -1 0 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 -1 1 -2 0 0 2 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584151060900 0.588397078734 4 5 9 3 1230 0321 0213 0132 1 1 0 1 0 0 0 0 0 0 0 0 -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 0 0 0 0 0 0 0 -3 0 0 3 -1 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.145425778508 1.082058699346 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_5'], 'c_1001_10' : negation(d['c_0101_8']), 'c_1001_12' : d['c_1001_0'], 'c_1001_5' : negation(d['c_0101_10']), 'c_1001_4' : negation(d['c_0011_12']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : negation(d['c_0011_12']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0101_5']), 'c_1010_12' : d['c_1001_1'], 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : negation(d['c_0011_12']), 's_0_10' : 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_0'], '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_1100_9' : negation(d['c_0011_9']), 'c_1100_8' : negation(d['c_0101_0']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : d['c_1010_9'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : d['c_1010_9'], 'c_1100_3' : d['c_1010_9'], 'c_1100_2' : negation(d['c_0011_9']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_8']), 'c_1100_10' : negation(d['c_0011_9']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_9']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_10']), 'c_1010_0' : negation(d['c_0011_12']), 'c_1010_9' : d['c_1010_9'], 'c_1010_8' : negation(d['c_0011_6']), '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_1010_9'], '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_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0101_2'], 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : d['c_0011_9'], 'c_0110_0' : negation(d['c_0011_6']), 'c_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_6']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : negation(d['c_0011_12']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_6']), 'c_0110_6' : d['c_0101_2']})} 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_12, c_0011_6, c_0011_9, c_0101_0, c_0101_10, c_0101_2, c_0101_5, c_0101_8, c_1001_0, c_1001_1, c_1010_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 128/63*c_1010_9^3 - 613/63*c_1010_9^2 + 382/63*c_1010_9 + 976/63, c_0011_0 - 1, c_0011_10 - 2/3*c_1010_9^3 + 8/3*c_1010_9^2 - 7/3*c_1010_9 + 1/3, c_0011_12 - 1/3*c_1010_9^3 + 4/3*c_1010_9^2 - 2/3*c_1010_9 - 1/3, c_0011_6 - 2/3*c_1010_9^3 + 5/3*c_1010_9^2 + 2/3*c_1010_9 - 2/3, c_0011_9 + c_1010_9 - 1, c_0101_0 - 1, c_0101_10 + c_1010_9^2 - 3*c_1010_9 + 1, c_0101_2 + c_1010_9^3 - 3*c_1010_9^2 + c_1010_9, c_0101_5 - c_1010_9^3 + 6*c_1010_9^2 - 10*c_1010_9 + 2, c_0101_8 + c_1010_9 - 2, c_1001_0 + c_1010_9^2 - 3*c_1010_9, c_1001_1 + 1/3*c_1010_9^3 - 4/3*c_1010_9^2 + 2/3*c_1010_9 - 2/3, c_1010_9^4 - 6*c_1010_9^3 + 10*c_1010_9^2 - 3*c_1010_9 + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_6, c_0011_9, c_0101_0, c_0101_10, c_0101_2, c_0101_5, c_0101_8, c_1001_0, c_1001_1, c_1010_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 5679406619101527/29409812612611508*c_1010_9^10 - 484279156050211969/117639250450446032*c_1010_9^9 - 144230485416421659/10694477313676912*c_1010_9^8 - 2772812329574092615/117639250450446032*c_1010_9^7 - 421805652871797577/14704906306305754*c_1010_9^6 - 1513297503281701667/58819625225223016*c_1010_9^5 - 1538020524229328169/117639250450446032*c_1010_9^4 - 2799988348413715/1336809664209614*c_1010_9^3 + 314875136139336617/58819625225223016*c_1010_9^2 + 110236047775642541/58819625225223016*c_1010_9 + 15104545931553383/7352453153152877, c_0011_0 - 1, c_0011_10 - 339456498551/2145761900818*c_1010_9^10 - 28609103461133/8583047603272*c_1010_9^9 - 43916028803915/4291523801636*c_1010_9^8 - 36631544750435/2145761900818*c_1010_9^7 - 184999371364231/8583047603272*c_1010_9^6 - 87468034952753/4291523801636*c_1010_9^5 - 118080694777707/8583047603272*c_1010_9^4 - 45595540967893/8583047603272*c_1010_9^3 + 2621431813133/4291523801636*c_1010_9^2 - 392661829314/1072880950409*c_1010_9 + 7852779941445/4291523801636, c_0011_12 + 20138159501/4291523801636*c_1010_9^10 + 292467147063/17166095206544*c_1010_9^9 - 5973017105041/4291523801636*c_1010_9^8 - 35589285604215/8583047603272*c_1010_9^7 - 96924675679261/17166095206544*c_1010_9^6 - 47255210966695/8583047603272*c_1010_9^5 - 51798162128479/17166095206544*c_1010_9^4 + 13719670299797/17166095206544*c_1010_9^3 + 22298899152829/8583047603272*c_1010_9^2 + 14637059370503/4291523801636*c_1010_9 + 2875112797895/8583047603272, c_0011_6 - 417215597121/2145761900818*c_1010_9^10 - 36610717751207/8583047603272*c_1010_9^9 - 138744904606471/8583047603272*c_1010_9^8 - 280071072207495/8583047603272*c_1010_9^7 - 51204634730810/1072880950409*c_1010_9^6 - 57744403928833/1072880950409*c_1010_9^5 - 395587522494977/8583047603272*c_1010_9^4 - 129748826193559/4291523801636*c_1010_9^3 - 62928499154467/4291523801636*c_1010_9^2 - 26411506286009/4291523801636*c_1010_9 - 4457938217451/2145761900818, c_0011_9 + 364888182381/4291523801636*c_1010_9^10 + 30316141300983/17166095206544*c_1010_9^9 + 21167784518525/4291523801636*c_1010_9^8 + 58944249859901/8583047603272*c_1010_9^7 + 119340772598123/17166095206544*c_1010_9^6 + 37327486581057/8583047603272*c_1010_9^5 + 2672791534017/17166095206544*c_1010_9^4 - 36159909474739/17166095206544*c_1010_9^3 - 27360993588411/8583047603272*c_1010_9^2 - 5557905844825/4291523801636*c_1010_9 - 8361527848761/8583047603272, c_0101_0 - 1, c_0101_10 - 114272970521/2145761900818*c_1010_9^10 - 9651175099151/8583047603272*c_1010_9^9 - 29852912690543/8583047603272*c_1010_9^8 - 48039323012167/8583047603272*c_1010_9^7 - 7959956034870/1072880950409*c_1010_9^6 - 8503056981465/1072880950409*c_1010_9^5 - 55553158372145/8583047603272*c_1010_9^4 - 18868108648647/4291523801636*c_1010_9^3 - 10692928222695/4291523801636*c_1010_9^2 - 7255942241833/4291523801636*c_1010_9 - 923082021449/2145761900818, c_0101_2 - 79576856793/1072880950409*c_1010_9^10 - 7606240114501/4291523801636*c_1010_9^9 - 80092995455651/8583047603272*c_1010_9^8 - 206307106042329/8583047603272*c_1010_9^7 - 347229888942167/8583047603272*c_1010_9^6 - 222848321952877/4291523801636*c_1010_9^5 - 217310521194303/4291523801636*c_1010_9^4 - 305702518588735/8583047603272*c_1010_9^3 - 18265233407043/1072880950409*c_1010_9^2 - 19659204863967/4291523801636*c_1010_9 - 2196235110221/4291523801636, c_0101_5 + 208407781541/4291523801636*c_1010_9^10 + 19009883051239/17166095206544*c_1010_9^9 + 41798946900625/8583047603272*c_1010_9^8 + 41814304308191/4291523801636*c_1010_9^7 + 224283972237181/17166095206544*c_1010_9^6 + 115279666818415/8583047603272*c_1010_9^5 + 162904478872769/17166095206544*c_1010_9^4 + 61752764294791/17166095206544*c_1010_9^3 - 913042707439/8583047603272*c_1010_9^2 - 1544796663517/2145761900818*c_1010_9 + 817215287901/8583047603272, c_0101_8 - 364888182381/4291523801636*c_1010_9^10 - 30316141300983/17166095206544*c_1010_9^9 - 21167784518525/4291523801636*c_1010_9^8 - 58944249859901/8583047603272*c_1010_9^7 - 119340772598123/17166095206544*c_1010_9^6 - 37327486581057/8583047603272*c_1010_9^5 - 2672791534017/17166095206544*c_1010_9^4 + 36159909474739/17166095206544*c_1010_9^3 + 27360993588411/8583047603272*c_1010_9^2 + 5557905844825/4291523801636*c_1010_9 + 8361527848761/8583047603272, c_1001_0 - 38073240765/4291523801636*c_1010_9^10 - 4281700581591/17166095206544*c_1010_9^9 - 4119845417275/2145761900818*c_1010_9^8 - 48503980784215/8583047603272*c_1010_9^7 - 181089044958023/17166095206544*c_1010_9^6 - 122415737727249/8583047603272*c_1010_9^5 - 236375945308953/17166095206544*c_1010_9^4 - 162924336060241/17166095206544*c_1010_9^3 - 36646590959357/8583047603272*c_1010_9^2 - 2073650665965/4291523801636*c_1010_9 + 359427759245/8583047603272, c_1001_1 + 1, c_1010_9^11 + 87/4*c_1010_9^10 + 319/4*c_1010_9^9 + 335/2*c_1010_9^8 + 1041/4*c_1010_9^7 + 1233/4*c_1010_9^6 + 1135/4*c_1010_9^5 + 407/2*c_1010_9^4 + 419/4*c_1010_9^3 + 95/2*c_1010_9^2 + 17/2*c_1010_9 + 11/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.210 Total time: 0.420 seconds, Total memory usage: 32.09MB