Magma V2.19-8 Wed Aug 21 2013 00:31:07 on localhost [Seed = 1595494368] Type ? for help. Type -D to quit. Loading file "K14n18044__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n18044 geometric_solution 11.70885524 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 -1 0 0 1 11 0 0 -11 -10 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.992866635027 1.616256399873 0 5 7 6 0132 0132 0132 0132 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 1 0 -1 0 10 0 0 -10 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.113350857895 1.005048814032 8 0 8 7 0132 0132 1023 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0.266979450016 0.506705470596 4 5 9 0 0132 1302 0132 0132 0 0 0 0 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 11 -1 0 -10 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.037209252160 0.601098824228 3 7 0 9 0132 3120 0132 0132 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 0 1 -1 0 0 -1 1 0 0 0 0 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.559805747319 0.952597975753 8 1 10 3 1023 0132 0132 2031 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 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.979967820290 0.934716215076 7 11 1 10 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.253270902716 0.369400295738 6 4 2 1 0132 3120 2031 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 -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 0.681658341444 0.887793776461 2 5 2 10 0132 1023 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.440783044743 0.507252268049 11 12 4 3 2031 0132 0132 0132 0 0 0 0 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 -1 1 0 1 0 -1 0 11 0 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.064412481207 0.789626954130 8 11 6 5 3120 0321 0132 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 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 0.873228340851 0.748410892080 12 6 9 10 3120 0132 1302 0321 0 0 0 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 0 -1 1 0 0 0 0 -10 10 0 0 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.897376744470 1.258049483096 12 9 12 11 2031 0132 1302 3120 0 0 0 0 0 0 1 -1 -1 0 1 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 1 10 -11 -10 0 10 0 -10 0 0 10 -10 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.758060689846 1.114848871885 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_3'], 'c_1001_10' : d['c_0101_3'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0101_8'], 'c_1001_7' : negation(d['c_0101_8']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : d['c_0101_8'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0101_2'], 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : d['c_1001_5'], 's_0_10' : d['1'], 's_0_11' : 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_0011_12'], '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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_10']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1001_0']), 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_10'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_3'], 'c_1100_10' : negation(d['c_1001_0']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0101_8'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(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'], 'c_1100_12' : negation(d['c_0011_12']), '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_12']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : d['c_0011_11'], 'c_0110_6' : d['c_0101_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], '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' : negation(d['c_0011_12']), 'c_0110_0' : d['c_0101_0'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_3'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_0'], 'c_0011_10' : d['c_0011_10']})} 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_12, c_0011_3, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0101_8, c_1001_0, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 27058566655465699043/106553032077064*c_1100_0^15 - 22866253112635813643/319659096231192*c_1100_0^14 - 563676498730279504643/319659096231192*c_1100_0^13 + 159652860693795886471/319659096231192*c_1100_0^12 + 11494885439590654109333/319659096231192*c_1100_0^11 - 3243977466777445416563/319659096231192*c_1100_0^10 - 53333988469911409278503/319659096231192*c_1100_0^9 + 15146651542523071344575/319659096231192*c_1100_0^8 + 184461282609096779904791/319659096231192*c_1100_0^7 - 17508684951076543822783/106553032077064*c_1100_0^6 - 1575992738715902488011/26638258019266*c_1100_0^5 + 3637325477499890128999/159829548115596*c_1100_0^4 + 4857122500664749107593/159829548115596*c_1100_0^3 - 706017196997070690409/79914774057798*c_1100_0^2 - 182197449434574241719/106553032077064*c_1100_0 + 252891130094451251789/319659096231192, c_0011_0 - 1, c_0011_10 - 3255/58451*c_1100_0^14 + 68425/175353*c_1100_0^12 - 1386911/175353*c_1100_0^10 + 6501991/175353*c_1100_0^8 - 7524670/58451*c_1100_0^6 + 3557269/175353*c_1100_0^4 - 957895/175353*c_1100_0^2 + 69832/175353, c_0011_11 - 1791337723/33605876391*c_1100_0^14 + 4275266343/11201958797*c_1100_0^12 - 85448058230/11201958797*c_1100_0^10 + 1231604791819/33605876391*c_1100_0^8 - 4323728739514/33605876391*c_1100_0^6 + 1283878345319/33605876391*c_1100_0^4 - 271473452027/33605876391*c_1100_0^2 + 26213464018/33605876391, c_0011_12 - 26814888/11201958797*c_1100_0^14 + 279353480/33605876391*c_1100_0^12 - 9473126120/33605876391*c_1100_0^10 + 13468313264/33605876391*c_1100_0^8 - 2365546328/33605876391*c_1100_0^6 - 200734399777/11201958797*c_1100_0^4 - 79273384/33605876391*c_1100_0^2 + 1823752/11201958797, c_0011_3 + 334475/33605876391*c_1100_0^14 - 3025232/33605876391*c_1100_0^12 + 42227216/33605876391*c_1100_0^10 - 94873828/11201958797*c_1100_0^8 + 43294640/33605876391*c_1100_0^6 - 18034912/33605876391*c_1100_0^4 + 1747732/33605876391*c_1100_0^2 + c_1100_0 - 20769699946/33605876391, c_0101_0 + 8271324838/33605876391*c_1100_0^15 - 56741538553/33605876391*c_1100_0^13 + 388806546737/11201958797*c_1100_0^11 - 1778675491729/11201958797*c_1100_0^9 + 18336355596896/33605876391*c_1100_0^7 - 336951522916/33605876391*c_1100_0^5 + 259328718877/11201958797*c_1100_0^3 - 2339606089/33605876391*c_1100_0, c_0101_10 - 334475/33605876391*c_1100_0^15 + 1018382/33605876391*c_1100_0^14 + 3025232/33605876391*c_1100_0^13 + 2243002/33605876391*c_1100_0^12 - 42227216/33605876391*c_1100_0^11 + 104422825/33605876391*c_1100_0^10 + 94873828/11201958797*c_1100_0^9 + 444721126/33605876391*c_1100_0^8 - 43294640/33605876391*c_1100_0^7 - 60419348/33605876391*c_1100_0^6 + 18034912/33605876391*c_1100_0^5 + 9572077/11201958797*c_1100_0^4 - 1747732/33605876391*c_1100_0^3 + 87978517810/33605876391*c_1100_0^2 + 54375576337/33605876391*c_1100_0 + 12836510920/33605876391, c_0101_2 + 8271324838/33605876391*c_1100_0^15 + 3255/58451*c_1100_0^14 - 56741538553/33605876391*c_1100_0^13 - 68425/175353*c_1100_0^12 + 388806546737/11201958797*c_1100_0^11 + 1386911/175353*c_1100_0^10 - 1778675491729/11201958797*c_1100_0^9 - 6501991/175353*c_1100_0^8 + 18336355596896/33605876391*c_1100_0^7 + 7524670/58451*c_1100_0^6 - 336951522916/33605876391*c_1100_0^5 - 3557269/175353*c_1100_0^4 + 259328718877/11201958797*c_1100_0^3 + 957895/175353*c_1100_0^2 - 2339606089/33605876391*c_1100_0 - 69832/175353, c_0101_3 - 1633533741/11201958797*c_1100_0^15 + 11445126245/11201958797*c_1100_0^13 - 231999735639/11201958797*c_1100_0^11 + 1087526305746/11201958797*c_1100_0^9 - 3775431102352/11201958797*c_1100_0^7 + 594945269655/11201958797*c_1100_0^5 - 160204782591/11201958797*c_1100_0^3 + 11679170482/11201958797*c_1100_0, c_0101_8 - 1703922822/11201958797*c_1100_0^15 - 1009722756/11201958797*c_1100_0^14 + 11689560540/11201958797*c_1100_0^13 + 21221932760/33605876391*c_1100_0^12 - 240288720994/11201958797*c_1100_0^11 - 430201874500/33605876391*c_1100_0^10 + 1099311079852/11201958797*c_1100_0^9 + 2016491848061/33605876391*c_1100_0^8 - 3777500955389/11201958797*c_1100_0^7 - 2333350670862/11201958797*c_1100_0^6 + 69417715090/11201958797*c_1100_0^5 + 1103095876922/33605876391*c_1100_0^4 - 160274146802/11201958797*c_1100_0^3 - 297036644708/33605876391*c_1100_0^2 + 481999034/11201958797*c_1100_0 + 21654418142/33605876391, c_1001_0 - 1703922822/11201958797*c_1100_0^15 + 11689560540/11201958797*c_1100_0^13 - 240288720994/11201958797*c_1100_0^11 + 1099311079852/11201958797*c_1100_0^9 - 3777500955389/11201958797*c_1100_0^7 + 69417715090/11201958797*c_1100_0^5 - 160274146802/11201958797*c_1100_0^3 + 481999034/11201958797*c_1100_0, c_1001_5 + c_1100_0, c_1100_0^16 - 7*c_1100_0^14 + 142*c_1100_0^12 - 665*c_1100_0^10 + 2310*c_1100_0^8 - 364*c_1100_0^6 + 145*c_1100_0^4 - 14*c_1100_0^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 3.640 Total time: 3.839 seconds, Total memory usage: 64.12MB