Magma V2.19-8 Tue Aug 20 2013 23:42:47 on localhost [Seed = 3717970074] Type ? for help. Type -D to quit. Loading file "L13n5864__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5864 geometric_solution 9.84357132 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 1 2 0132 0132 2031 1230 0 0 1 0 0 1 0 -1 -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 -1 2 2 0 -2 0 -1 1 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.517406384259 1.255308199537 0 3 4 0 0132 0132 0132 1302 0 0 0 1 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 -2 0 2 -2 0 0 2 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.719335976634 0.680934485088 0 0 6 5 3012 0132 0132 0132 0 0 0 1 0 -1 1 0 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 1 -1 0 -2 0 2 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 0.266818641447 0.694040736289 4 1 7 6 0321 0132 0132 1230 0 1 1 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 2 0 -2 -3 0 0 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 0.973962349951 0.571012269866 3 8 5 1 0321 0132 3012 0132 0 0 1 1 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 -1 0 1 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.200494402959 1.016352470607 7 4 2 9 1230 1230 0132 0132 0 0 1 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 0 3 0 -3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.284340196965 0.998662954475 3 7 8 2 3012 0213 1023 0132 0 0 1 1 0 1 0 -1 -1 0 0 1 -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 0 1 2 0 0 -2 -3 4 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.172098505873 0.777549524945 9 5 6 3 1302 3012 0213 0132 0 1 0 1 0 1 -1 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 -1 1 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.216821237700 0.671218900693 10 4 6 10 0132 0132 1023 1023 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 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 0.412109069069 0.721326661708 10 7 5 10 1023 2031 0132 0132 0 0 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 1 0 0 -1 1 -4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.121958541729 0.627946815574 8 9 9 8 0132 1023 0132 1023 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 0 0 0 0 0 0 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 1.380601111232 0.642210869579 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_7'], 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_7' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : d['c_0101_6'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : negation(d['c_0101_3']), 'c_1001_8' : d['c_0101_6'], 'c_1010_10' : d['c_0101_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_10' : 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' : d['c_1100_10'], 'c_1100_8' : negation(d['c_1100_10']), 'c_1100_5' : d['c_1100_10'], 'c_1100_4' : d['c_0101_0'], 'c_1100_7' : d['c_0101_2'], 'c_1100_6' : d['c_1100_10'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_1100_10'], 'c_1100_10' : d['c_1100_10'], 'c_1010_7' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0011_7'], 'c_1010_8' : negation(d['c_0011_5']), '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'], '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_10'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0011_5']), 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_7'], 'c_0101_8' : negation(d['c_0011_5']), 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : negation(d['c_0011_10']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0011_7'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_5, c_0011_7, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0101_5, c_0101_6, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 49413962207977/11985084881718*c_1100_10^11 + 4032810854895/1229239475048*c_1100_10^10 + 2020222028373331/47940339526872*c_1100_10^9 + 2968529101705157/47940339526872*c_1100_10^8 - 342026405086201/1997514146953*c_1100_10^7 - 22745009794050625/47940339526872*c_1100_10^6 - 8558072044802957/23970169763436*c_1100_10^5 + 5403254603258441/15980113175624*c_1100_10^4 + 1038027256720439/1997514146953*c_1100_10^3 + 7353889758524327/15980113175624*c_1100_10^2 + 12835630701737683/47940339526872*c_1100_10 + 4164715284370549/47940339526872, c_0011_0 - 1, c_0011_10 - 16250225/549749318*c_1100_10^11 + 25891298/274874659*c_1100_10^10 + 60630865/274874659*c_1100_10^9 - 156242395/549749318*c_1100_10^8 - 1075225361/549749318*c_1100_10^7 + 50087047/549749318*c_1100_10^6 + 2375673841/549749318*c_1100_10^5 + 2498948415/549749318*c_1100_10^4 - 2439677527/549749318*c_1100_10^3 - 618776530/274874659*c_1100_10^2 - 687165550/274874659*c_1100_10 - 535588375/549749318, c_0011_5 + 8117553/274874659*c_1100_10^11 - 24032222/274874659*c_1100_10^10 - 54245490/274874659*c_1100_10^9 + 40022627/274874659*c_1100_10^8 + 440414415/274874659*c_1100_10^7 + 91953800/274874659*c_1100_10^6 - 551038424/274874659*c_1100_10^5 - 846745610/274874659*c_1100_10^4 + 507592071/274874659*c_1100_10^3 - 358766640/274874659*c_1100_10^2 + 416124767/274874659*c_1100_10 + 135672149/274874659, c_0011_7 + 118710377/1099498636*c_1100_10^11 - 56940219/549749318*c_1100_10^10 - 595417437/549749318*c_1100_10^9 - 1605599481/1099498636*c_1100_10^8 + 5249477259/1099498636*c_1100_10^7 + 12648418711/1099498636*c_1100_10^6 + 8059944253/1099498636*c_1100_10^5 - 10786650791/1099498636*c_1100_10^4 - 11412828663/1099498636*c_1100_10^3 - 5686547055/549749318*c_1100_10^2 - 3123390385/549749318*c_1100_10 - 1065217517/1099498636, c_0101_0 - 1, c_0101_10 + 59011429/1099498636*c_1100_10^11 - 10631005/274874659*c_1100_10^10 - 154339680/274874659*c_1100_10^9 - 883313007/1099498636*c_1100_10^8 + 2356787439/1099498636*c_1100_10^7 + 7035890389/1099498636*c_1100_10^6 + 5199433861/1099498636*c_1100_10^5 - 4516114797/1099498636*c_1100_10^4 - 8231227119/1099498636*c_1100_10^3 - 1234806345/274874659*c_1100_10^2 - 1052675501/274874659*c_1100_10 - 731121491/1099498636, c_0101_2 - 71709475/1099498636*c_1100_10^11 + 25679604/274874659*c_1100_10^10 + 168132525/274874659*c_1100_10^9 + 648536805/1099498636*c_1100_10^8 - 3442560757/1099498636*c_1100_10^7 - 6171751543/1099498636*c_1100_10^6 - 2165661863/1099498636*c_1100_10^5 + 7930272663/1099498636*c_1100_10^4 + 4951165501/1099498636*c_1100_10^3 + 1364257094/274874659*c_1100_10^2 + 179716623/274874659*c_1100_10 - 392850231/1099498636, c_0101_3 - 182338815/1099498636*c_1100_10^11 + 107082147/549749318*c_1100_10^10 + 873748319/549749318*c_1100_10^9 + 2090962095/1099498636*c_1100_10^8 - 7934711469/1099498636*c_1100_10^7 - 17463595693/1099498636*c_1100_10^6 - 10941920751/1099498636*c_1100_10^5 + 14712887581/1099498636*c_1100_10^4 + 15846478589/1099498636*c_1100_10^3 + 9220697805/549749318*c_1100_10^2 + 4082932203/549749318*c_1100_10 + 1561235459/1099498636, c_0101_5 - 71709475/1099498636*c_1100_10^11 + 25679604/274874659*c_1100_10^10 + 168132525/274874659*c_1100_10^9 + 648536805/1099498636*c_1100_10^8 - 3442560757/1099498636*c_1100_10^7 - 6171751543/1099498636*c_1100_10^6 - 2165661863/1099498636*c_1100_10^5 + 7930272663/1099498636*c_1100_10^4 + 4951165501/1099498636*c_1100_10^3 + 1364257094/274874659*c_1100_10^2 + 179716623/274874659*c_1100_10 + 706648405/1099498636, c_0101_6 - 71709475/1099498636*c_1100_10^11 + 25679604/274874659*c_1100_10^10 + 168132525/274874659*c_1100_10^9 + 648536805/1099498636*c_1100_10^8 - 3442560757/1099498636*c_1100_10^7 - 6171751543/1099498636*c_1100_10^6 - 2165661863/1099498636*c_1100_10^5 + 7930272663/1099498636*c_1100_10^4 + 4951165501/1099498636*c_1100_10^3 + 1364257094/274874659*c_1100_10^2 + 179716623/274874659*c_1100_10 - 392850231/1099498636, c_1100_10^12 - c_1100_10^11 - 10*c_1100_10^10 - 13*c_1100_10^9 + 44*c_1100_10^8 + 106*c_1100_10^7 + 66*c_1100_10^6 - 94*c_1100_10^5 - 108*c_1100_10^4 - 93*c_1100_10^3 - 46*c_1100_10^2 - 9*c_1100_10 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB