Magma V2.19-8 Tue Aug 20 2013 23:40:01 on localhost [Seed = 3769009230] Type ? for help. Type -D to quit. Loading file "K14n26185__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n26185 geometric_solution 10.30789917 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 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 1 0 -1 -17 0 0 17 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.225350676396 0.835549304342 0 5 7 6 0132 0132 0132 0132 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 0 17 -17 17 0 -18 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.771607747978 1.468561769164 8 0 9 9 0132 0132 0213 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 -1 1 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 0.286694672125 0.959997150202 8 10 5 0 3120 0132 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 18 -18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.015231760133 0.608716754869 6 10 0 8 3012 0213 0132 3012 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 1 -1 17 0 -17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.478456250069 1.817105865577 8 1 3 7 1023 0132 3120 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 18 -18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.284121715860 0.535820449430 9 10 1 4 0213 2310 0132 1230 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 17 -17 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 0.732958094452 0.674135670855 10 9 5 1 0213 0321 0132 0132 0 0 0 0 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 -1 18 -17 -18 0 0 18 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.286694672125 0.959997150202 2 5 4 3 0132 1023 1230 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.621188687338 0.963426066872 6 2 2 7 0213 0213 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.498675766912 0.671139407491 7 3 4 6 0213 0132 0213 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 18 -18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.507906046939 1.282186715160 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : negation(d['c_1001_3']), 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_1001_1'], 'c_1001_6' : negation(d['c_1001_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_0'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_5'], 'c_1010_10' : d['c_1001_3'], '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_0011_4'], '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_1001_1'], 'c_1100_8' : negation(d['c_0101_3']), 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : d['c_1001_1'], 'c_1100_10' : negation(d['c_0011_6']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_3']), 'c_1010_0' : d['c_1001_0'], 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : d['c_0011_10'], '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_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_4'], '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_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0101_1']), 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0011_9'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_9'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_9'], 'c_0101_9' : d['c_0011_6'], 'c_0101_8' : d['c_0011_6'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_4']), 'c_0110_8' : d['c_0011_9'], 'c_0110_1' : d['c_0011_9'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_9'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_4']})} 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_4, c_0011_6, c_0011_9, c_0101_1, c_0101_3, c_0101_5, c_1001_0, c_1001_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 11740754709793332/126305660503*c_1001_3^9 + 142193667330529460/126305660503*c_1001_3^8 + 19743601997719107/11482332773*c_1001_3^7 - 870374017287655215/126305660503*c_1001_3^6 - 12751909253030768/126305660503*c_1001_3^5 + 53449547438615726/11482332773*c_1001_3^4 + 1949073582934304/126305660503*c_1001_3^3 - 89986550581007073/126305660503*c_1001_3^2 - 26625519890843152/126305660503*c_1001_3 + 160350903611339/126305660503, c_0011_0 - 1, c_0011_10 + 17942916276/11482332773*c_1001_3^9 + 227609946896/11482332773*c_1001_3^8 + 468389937997/11482332773*c_1001_3^7 - 987932349208/11482332773*c_1001_3^6 - 441165874857/11482332773*c_1001_3^5 + 299343282675/11482332773*c_1001_3^4 + 19853928084/11482332773*c_1001_3^3 + 48920409650/11482332773*c_1001_3^2 + 23477065757/11482332773*c_1001_3 + 4168398638/11482332773, c_0011_4 - 12206323416/11482332773*c_1001_3^9 - 149328059788/11482332773*c_1001_3^8 - 251604839922/11482332773*c_1001_3^7 + 778935648181/11482332773*c_1001_3^6 - 84700055257/11482332773*c_1001_3^5 - 199489869463/11482332773*c_1001_3^4 + 153122472395/11482332773*c_1001_3^3 - 39131158604/11482332773*c_1001_3^2 + 4726406512/11482332773*c_1001_3 + 2055920054/11482332773, c_0011_6 - 6319898124/11482332773*c_1001_3^9 - 73055946524/11482332773*c_1001_3^8 - 73898611307/11482332773*c_1001_3^7 + 543350834645/11482332773*c_1001_3^6 - 227220346243/11482332773*c_1001_3^5 - 354373327860/11482332773*c_1001_3^4 + 144958460754/11482332773*c_1001_3^3 + 40070647779/11482332773*c_1001_3^2 - 3746294431/11482332773*c_1001_3 + 6620859332/11482332773, c_0011_9 - 6028527516/11482332773*c_1001_3^9 - 80148737412/11482332773*c_1001_3^8 - 202353215667/11482332773*c_1001_3^7 + 257072729375/11482332773*c_1001_3^6 + 397223353228/11482332773*c_1001_3^5 - 87196941305/11482332773*c_1001_3^4 - 107675622864/11482332773*c_1001_3^3 - 20051821212/11482332773*c_1001_3^2 - 21879304507/11482332773*c_1001_3 - 2293173139/11482332773, c_0101_1 - 14773281008/11482332773*c_1001_3^9 - 187171491492/11482332773*c_1001_3^8 - 381047879852/11482332773*c_1001_3^7 + 841841252243/11482332773*c_1001_3^6 + 409345907572/11482332773*c_1001_3^5 - 313208201700/11482332773*c_1001_3^4 - 120172498097/11482332773*c_1001_3^3 - 33697796885/11482332773*c_1001_3^2 - 8702025981/11482332773*c_1001_3 - 2025559214/11482332773, c_0101_3 - 9917304752/11482332773*c_1001_3^9 - 129160115484/11482332773*c_1001_3^8 - 301130264868/11482332773*c_1001_3^7 + 463750757221/11482332773*c_1001_3^6 + 450831554318/11482332773*c_1001_3^5 - 72902960766/11482332773*c_1001_3^4 - 125870159248/11482332773*c_1001_3^3 - 49371810370/11482332773*c_1001_3^2 - 15359261717/11482332773*c_1001_3 - 6230686249/11482332773, c_0101_5 - c_1001_3, c_1001_0 - 8393607464/11482332773*c_1001_3^9 - 104907332392/11482332773*c_1001_3^8 - 198480472898/11482332773*c_1001_3^7 + 512897989618/11482332773*c_1001_3^6 + 144477421068/11482332773*c_1001_3^5 - 206226663791/11482332773*c_1001_3^4 - 13986256160/11482332773*c_1001_3^3 - 37768877752/11482332773*c_1001_3^2 - 5436990739/11482332773*c_1001_3 + 4263124918/11482332773, c_1001_1 + 6979828720/11482332773*c_1001_3^9 + 81380297808/11482332773*c_1001_3^8 + 90687528668/11482332773*c_1001_3^7 - 580143260624/11482332773*c_1001_3^6 + 201719822600/11482332773*c_1001_3^5 + 321503197835/11482332773*c_1001_3^4 - 90256751045/11482332773*c_1001_3^3 + 8412200859/11482332773*c_1001_3^2 - 5258686632/11482332773*c_1001_3 - 1270509419/11482332773, c_1001_3^10 + 12*c_1001_3^9 + 69/4*c_1001_3^8 - 75*c_1001_3^7 + 9*c_1001_3^6 + 43*c_1001_3^5 - 23/4*c_1001_3^4 - 11/4*c_1001_3^3 - 5/4*c_1001_3^2 - 1/2*c_1001_3 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.210 Total time: 0.420 seconds, Total memory usage: 32.09MB