Magma V2.19-8 Tue Aug 20 2013 23:38:43 on localhost [Seed = 2884489191] Type ? for help. Type -D to quit. Loading file "K12a744__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12a744 geometric_solution 9.39782452 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 11 1 1 2 3 0132 2310 0132 0132 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 -1 1 0 1 0 0 -1 1 -1 0 0 1 3 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.380180920108 0.467133065123 0 3 2 0 0132 2103 2103 3201 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 -1 0 0 1 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.028934937033 0.775467465494 1 4 5 0 2103 0132 0132 0132 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 0 0 0 0 1 -1 0 0 0 0 0 -4 0 4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.499804272726 0.957775364081 5 1 0 4 0132 2103 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 0 0 0 0 1 -1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.499804272726 0.957775364081 6 2 3 7 0132 0132 0132 0132 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 -1 0 1 0 1 -1 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.916506085090 0.898493946496 3 8 7 2 0132 0132 0132 0132 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 1 0 -1 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 0.916506085090 0.898493946496 4 9 8 7 0132 0132 2031 3120 0 0 0 0 0 0 1 -1 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 -3 3 1 0 -1 0 4 0 0 -4 -1 -3 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.796882732473 0.407851647538 6 8 4 5 3120 0213 0132 0132 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 0 4 -4 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.081158928632 0.859767831678 9 5 7 6 0132 0132 0213 1302 0 0 0 0 0 0 0 0 0 0 -1 1 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 -1 0 1 0 0 4 -4 0 -3 0 3 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.796882732473 0.407851647538 8 6 10 10 0132 0132 0132 3201 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 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.811024715227 0.709623354056 10 9 10 9 2310 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.901750247506 0.338810871930 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_4'], 'c_1001_10' : negation(d['c_0101_10']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_1001_2'], 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0011_7']), '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' : negation(d['1']), 's_2_1' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_10']), 'c_1100_8' : d['c_0101_6'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_0101_6']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_1100_10' : negation(d['c_0011_10']), 'c_1010_7' : d['c_0101_6'], 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_1001_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : d['c_0101_6'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(d['c_0011_2']), 'c_0011_8' : d['c_0011_2'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_0110_10' : negation(d['c_0101_10']), 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : d['c_0011_7'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_7'], 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_6'], 'c_0110_7' : d['c_0101_4'], 'c_0011_10' : d['c_0011_10']})} 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_2, c_0011_7, c_0101_1, c_0101_10, c_0101_4, c_0101_6, c_1001_0, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 30 Groebner basis: [ t - 63688561922/2525117049*c_1100_0^29 + 292273271551/841705683*c_1100_0^28 - 5990444716234/2525117049*c_1100_0^27 + 3899758860182/360731007*c_1100_0^26 - 13391086986289/360731007*c_1100_0^25 + 19897968674135/194239773*c_1100_0^24 - 5089563916011/21582197*c_1100_0^23 + 167107615979800/360731007*c_1100_0^22 - 662585700845935/841705683*c_1100_0^21 + 2942361442302455/2525117049*c_1100_0^20 - 3795493858772099/2525117049*c_1100_0^19 + 325434186297686/194239773*c_1100_0^18 - 3972791299451756/2525117049*c_1100_0^17 + 224887199561537/194239773*c_1100_0^16 - 137276144511644/280568561*c_1100_0^15 - 722998846273589/2525117049*c_1100_0^14 + 833655448106812/841705683*c_1100_0^13 - 3729108907736617/2525117049*c_1100_0^12 + 83030557569826/49512099*c_1100_0^11 - 4062795809331500/2525117049*c_1100_0^10 + 54243045682011/40081223*c_1100_0^9 - 2559641728375348/2525117049*c_1100_0^8 + 81766849238518/120243669*c_1100_0^7 - 1031240495380094/2525117049*c_1100_0^6 + 551598556574392/2525117049*c_1100_0^5 - 6662999678488/64746591*c_1100_0^4 + 5018878048463/120243669*c_1100_0^3 - 35530018050185/2525117049*c_1100_0^2 + 551357219012/148536297*c_1100_0 - 174454047115/280568561, c_0011_0 - 1, c_0011_10 + c_1100_0^14 - 7*c_1100_0^13 + 25*c_1100_0^12 - 62*c_1100_0^11 + 119*c_1100_0^10 - 184*c_1100_0^9 + 235*c_1100_0^8 - 252*c_1100_0^7 + 229*c_1100_0^6 - 177*c_1100_0^5 + 117*c_1100_0^4 - 66*c_1100_0^3 + 31*c_1100_0^2 - 11*c_1100_0 + 3, c_0011_2 + c_1100_0, c_0011_7 + c_1100_0^6 - 3*c_1100_0^5 + 5*c_1100_0^4 - 6*c_1100_0^3 + 5*c_1100_0^2 - 2*c_1100_0 + 1, c_0101_1 + c_1100_0^29 - 14*c_1100_0^28 + 98*c_1100_0^27 - 461*c_1100_0^26 + 1646*c_1100_0^25 - 4759*c_1100_0^24 + 11580*c_1100_0^23 - 24310*c_1100_0^22 + 44781*c_1100_0^21 - 73256*c_1100_0^20 + 107346*c_1100_0^19 - 141782*c_1100_0^18 + 169529*c_1100_0^17 - 184020*c_1100_0^16 + 181560*c_1100_0^15 - 162736*c_1100_0^14 + 132137*c_1100_0^13 - 96574*c_1100_0^12 + 62730*c_1100_0^11 - 35299*c_1100_0^10 + 16220*c_1100_0^9 - 5005*c_1100_0^8 - 268*c_1100_0^7 + 1890*c_1100_0^6 - 1775*c_1100_0^5 + 1144*c_1100_0^4 - 574*c_1100_0^3 + 227*c_1100_0^2 - 68*c_1100_0 + 13, c_0101_10 + c_1100_0^22 - 11*c_1100_0^21 + 61*c_1100_0^20 - 230*c_1100_0^19 + 665*c_1100_0^18 - 1566*c_1100_0^17 + 3109*c_1100_0^16 - 5320*c_1100_0^15 + 7966*c_1100_0^14 - 10550*c_1100_0^13 + 12454*c_1100_0^12 - 13180*c_1100_0^11 + 12558*c_1100_0^10 - 10801*c_1100_0^9 + 8394*c_1100_0^8 - 5888*c_1100_0^7 + 3712*c_1100_0^6 - 2086*c_1100_0^5 + 1032*c_1100_0^4 - 440*c_1100_0^3 + 156*c_1100_0^2 - 43*c_1100_0 + 8, c_0101_4 + c_1100_0^2 - c_1100_0 + 1, c_0101_6 + c_1100_0^26 - 13*c_1100_0^25 + 85*c_1100_0^24 - 376*c_1100_0^23 + 1270*c_1100_0^22 - 3489*c_1100_0^21 + 8092*c_1100_0^20 - 16230*c_1100_0^19 + 28622*c_1100_0^18 - 44915*c_1100_0^17 + 63276*c_1100_0^16 - 80568*c_1100_0^15 + 93200*c_1100_0^14 - 98338*c_1100_0^13 + 94916*c_1100_0^12 - 83964*c_1100_0^11 + 68127*c_1100_0^10 - 50673*c_1100_0^9 + 34479*c_1100_0^8 - 21376*c_1100_0^7 + 11998*c_1100_0^6 - 6038*c_1100_0^5 + 2686*c_1100_0^4 - 1032*c_1100_0^3 + 329*c_1100_0^2 - 81*c_1100_0 + 13, c_1001_0 + c_1100_0^29 - 14*c_1100_0^28 + 98*c_1100_0^27 - 461*c_1100_0^26 + 1646*c_1100_0^25 - 4759*c_1100_0^24 + 11580*c_1100_0^23 - 24310*c_1100_0^22 + 44781*c_1100_0^21 - 73256*c_1100_0^20 + 107346*c_1100_0^19 - 141782*c_1100_0^18 + 169529*c_1100_0^17 - 184020*c_1100_0^16 + 181560*c_1100_0^15 - 162736*c_1100_0^14 + 132137*c_1100_0^13 - 96574*c_1100_0^12 + 62730*c_1100_0^11 - 35299*c_1100_0^10 + 16220*c_1100_0^9 - 5005*c_1100_0^8 - 268*c_1100_0^7 + 1890*c_1100_0^6 - 1775*c_1100_0^5 + 1144*c_1100_0^4 - 574*c_1100_0^3 + 227*c_1100_0^2 - 68*c_1100_0 + 13, c_1001_2 + c_1100_0^2 - c_1100_0 + 1, c_1100_0^30 - 15*c_1100_0^29 + 113*c_1100_0^28 - 574*c_1100_0^27 + 2219*c_1100_0^26 - 6964*c_1100_0^25 + 18447*c_1100_0^24 - 42308*c_1100_0^23 + 85515*c_1100_0^22 - 154303*c_1100_0^21 + 250963*c_1100_0^20 - 370654*c_1100_0^19 + 500005*c_1100_0^18 - 618907*c_1100_0^17 + 705513*c_1100_0^16 - 742760*c_1100_0^15 + 723729*c_1100_0^14 - 653575*c_1100_0^13 + 547377*c_1100_0^12 - 425078*c_1100_0^11 + 305739*c_1100_0^10 - 203218*c_1100_0^9 + 124383*c_1100_0^8 - 69740*c_1100_0^7 + 35551*c_1100_0^6 - 16299*c_1100_0^5 + 6615*c_1100_0^4 - 2318*c_1100_0^3 + 673*c_1100_0^2 - 150*c_1100_0 + 21 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.310 seconds, Total memory usage: 32.09MB