Magma V2.19-8 Wed Aug 21 2013 00:54:28 on localhost [Seed = 610418297] Type ? for help. Type -D to quit. Loading file "L12n286__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n286 geometric_solution 12.00595117 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 1 1 0 1 0 -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 0 0 0 -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 0.079607865154 1.449533228019 0 5 7 6 0132 0132 0132 0132 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 1 0 -1 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 -0.179975199083 1.085742525756 5 0 9 8 0132 0132 0132 0132 0 1 1 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 0 1 -1 8 0 0 -8 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.051298432389 1.126557558236 10 6 10 0 0132 0132 1023 0132 0 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.179975199083 1.085742525756 5 11 0 10 3012 0132 0132 1023 0 0 1 1 0 0 1 -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 1 0 -1 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.153705260959 0.547546740524 2 1 8 4 0132 0132 0213 1230 0 1 1 1 0 0 -1 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 0 1 -1 -8 0 0 8 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.085632363699 0.548365332451 12 3 1 12 0132 0132 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 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.148589046216 0.896398210200 9 9 11 1 2031 0132 0132 0132 0 0 1 1 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 -1 0 0 1 1 0 0 -1 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.715597378692 0.795879605410 9 5 2 11 0213 0213 0132 1230 0 1 1 1 0 1 -1 0 -1 0 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 -1 1 0 -8 0 8 0 9 0 0 -9 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.323856057029 0.665995711938 8 7 7 2 0213 0132 1302 0132 0 1 1 1 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 1 -1 -9 0 9 0 8 -9 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.398150580137 1.114194817038 3 12 3 4 0132 0132 1023 1023 0 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.179975199083 1.085742525756 8 4 12 7 3012 0132 1023 0132 0 0 1 1 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 9 -8 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.641927554476 0.803308528111 6 10 11 6 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 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.148589046216 0.896398210200 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : d['c_0101_12'], 'c_1001_12' : d['c_0101_11'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_2'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_1'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0101_12'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : d['c_0101_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], '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' : negation(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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_7'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0101_11'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_7'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_7'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : negation(d['c_1100_0']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_12'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0101_11'], '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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1100_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' : negation(d['c_0011_7']), 'c_0011_8' : negation(d['c_0011_7']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : d['c_0101_0'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_7']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : negation(d['c_0011_11']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_7']), 'c_0101_8' : negation(d['c_0011_7']), '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_0011_11']), 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_7']), 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_12'], 's_2_9' : d['1']})} 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_11, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_7, c_1001_0, c_1001_2, c_1100_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 444023339673/1703205563*c_1100_1^7 + 332825941741/1703205563*c_1100_1^6 + 22536492109593/27251289008*c_1100_1^5 + 530300753162/1703205563*c_1100_1^4 + 48166697324989/54502578016*c_1100_1^3 + 230955271849447/1744082496512*c_1100_1^2 + 136394434391067/436020624128*c_1100_1 - 16152054047673/109005156032, c_0011_0 - 1, c_0011_10 + 497528697632/318499440281*c_1100_1^7 + 240496037280/318499440281*c_1100_1^6 + 158212021718/28954494571*c_1100_1^5 + 53675302080/28954494571*c_1100_1^4 + 2554569742141/318499440281*c_1100_1^3 + 21902764733671/10191982088992*c_1100_1^2 + 11408130803515/2547995522248*c_1100_1 + 401514332919/636998880562, c_0011_11 - 386067849792/318499440281*c_1100_1^7 - 16313439040/318499440281*c_1100_1^6 - 102446992108/28954494571*c_1100_1^5 + 55090292288/28954494571*c_1100_1^4 - 1189482746714/318499440281*c_1100_1^3 + 19887625691145/5095991044496*c_1100_1^2 - 1474762352399/1273997761124*c_1100_1 + 734145750122/318499440281, c_0011_7 - 317428032/270602753*c_1100_1^7 + 123803840/270602753*c_1100_1^6 - 696243220/270602753*c_1100_1^5 + 487258416/270602753*c_1100_1^4 - 563047346/270602753*c_1100_1^3 + 7436080453/4329644048*c_1100_1^2 + 42282139/541205506*c_1100_1 + 220926710/270602753, c_0101_0 - 1, c_0101_1 - 6138901184/18735261193*c_1100_1^7 + 1343462464/18735261193*c_1100_1^6 - 1698773764/1703205563*c_1100_1^5 + 484210592/1703205563*c_1100_1^4 - 31968813710/18735261193*c_1100_1^3 + 73208690635/299764179088*c_1100_1^2 - 116582129527/74941044772*c_1100_1 + 1999960483/18735261193, c_0101_11 - 15119568256/18735261193*c_1100_1^7 - 16522240896/18735261193*c_1100_1^6 - 4159227784/1703205563*c_1100_1^5 - 2718402688/1703205563*c_1100_1^4 - 47508166300/18735261193*c_1100_1^3 - 309357680421/149882089544*c_1100_1^2 - 34914297785/37470522386*c_1100_1 - 12360282409/18735261193, c_0101_12 - 1, c_0101_7 - 25361657664/18735261193*c_1100_1^7 - 11043627840/18735261193*c_1100_1^6 - 8701526620/1703205563*c_1100_1^5 - 1863598736/1703205563*c_1100_1^4 - 116799000738/18735261193*c_1100_1^3 - 326254023747/299764179088*c_1100_1^2 - 49996094801/18735261193*c_1100_1 - 3344183858/18735261193, c_1001_0 - 15119568256/18735261193*c_1100_1^7 - 16522240896/18735261193*c_1100_1^6 - 4159227784/1703205563*c_1100_1^5 - 2718402688/1703205563*c_1100_1^4 - 47508166300/18735261193*c_1100_1^3 - 309357680421/149882089544*c_1100_1^2 - 34914297785/37470522386*c_1100_1 - 12360282409/18735261193, c_1001_2 - 5861058880/18735261193*c_1100_1^7 - 43582559040/18735261193*c_1100_1^6 - 5737073468/1703205563*c_1100_1^5 - 11802656176/1703205563*c_1100_1^4 - 101710799570/18735261193*c_1100_1^3 - 2169280595931/299764179088*c_1100_1^2 - 121946396211/37470522386*c_1100_1 - 48914218332/18735261193, c_1100_0 + 277842304/18735261193*c_1100_1^7 - 44926021504/18735261193*c_1100_1^6 - 4038299704/1703205563*c_1100_1^5 - 12286866768/1703205563*c_1100_1^4 - 69741985860/18735261193*c_1100_1^3 - 1121244643283/149882089544*c_1100_1^2 - 202251707667/74941044772*c_1100_1 - 50914178815/18735261193, c_1100_1^8 + c_1100_1^7 + 65/16*c_1100_1^6 + 11/4*c_1100_1^5 + 197/32*c_1100_1^4 + 3071/1024*c_1100_1^3 + 67/16*c_1100_1^2 + c_1100_1 + 17/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB