Magma V2.19-8 Wed Aug 21 2013 01:07:21 on localhost [Seed = 156176387] Type ? for help. Type -D to quit. Loading file "L14n33071__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33071 geometric_solution 11.71699216 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 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 -0.032347055995 1.217027765333 0 5 6 6 0132 0132 2103 0132 1 1 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 1 -1 1 0 -2 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 0.640312180799 0.834166203112 7 0 7 8 0132 0132 0321 0132 1 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 -3 0 0 3 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.021823635413 0.821093896219 4 9 10 0 0132 0132 0132 0132 1 1 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 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.236046477523 0.939696508814 3 11 0 6 0132 0132 0132 2031 1 1 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 1 -1 0 0 -1 1 -3 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.194412125673 0.636476910526 7 1 10 8 1023 0132 1302 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.899314152426 0.729097942220 1 4 1 10 2103 1302 0132 1302 1 1 1 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 1 0 2 0 -1 -1 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.420968434082 0.754332929011 2 5 2 9 0132 1023 0321 0132 1 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 0 0 0 3 0 -1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.021823635413 0.821093896219 11 5 2 10 2103 1302 0132 3201 1 0 1 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 3 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 0.156463152435 0.449290378899 12 3 7 11 0132 0132 0132 0213 1 0 0 0 0 0 0 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 0 0 0 -2 0 2 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.278523542790 1.025664892444 5 8 6 3 2031 2310 2031 0132 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 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 0.471885551332 1.115673349767 12 4 8 9 1023 0132 2103 0213 1 0 0 0 0 0 0 0 0 0 1 -1 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 -3 3 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.170784223905 0.592318884847 9 11 12 12 0132 1023 1230 3012 0 0 0 0 0 0 -1 1 -1 0 0 1 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 2 -2 2 0 0 -2 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.045959061494 1.190515713134 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_6'], 'c_1001_10' : d['c_0101_10'], 'c_1001_12' : d['c_0101_11'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_0110_5'], 'c_1001_3' : negation(d['c_0110_8']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0110_5'], 'c_1001_8' : d['c_0110_5'], 'c_1010_12' : negation(d['c_0101_12']), 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0110_8']), '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_0101_11'], '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_1100_9' : d['c_1001_2'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : negation(d['c_1010_6']), 'c_1100_7' : d['c_1001_2'], 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : negation(d['c_1010_6']), 'c_1100_3' : negation(d['c_1010_6']), 'c_1100_2' : negation(d['c_0011_10']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0110_8']), 'c_1100_10' : negation(d['c_1010_6']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_5'], 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0110_5'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0110_8']), 'c_1010_8' : negation(d['c_0101_10']), 'c_1100_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_0101_11']), '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_11']), 'c_0011_8' : d['c_0011_6'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], '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' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_12']), 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : negation(d['c_0101_11']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_0'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_11']), 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_11']), 'c_0101_8' : d['c_0101_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_11'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : negation(d['c_0101_11']), 'c_0110_6' : negation(d['c_0101_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_6, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_3, c_0110_5, c_0110_8, c_1001_2, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 3309582466913981459255/116696510360881943714*c_1010_6^15 + 5615265846897334806115/58348255180440971857*c_1010_6^14 + 28530881190754468952391/58348255180440971857*c_1010_6^13 + 144094644592353993122817/116696510360881943714*c_1010_6^12 + 386957721356532847038719/116696510360881943714*c_1010_6^11 + 369901441502688506795365/58348255180440971857*c_1010_6^10 + 1340558333507923824381317/116696510360881943714*c_1010_6^9 + 1937098090201661213764405/116696510360881943714*c_1010_6^8 + 2548239592332727537464575/116696510360881943714*c_1010_6^7 + 2703362913010091710593513/116696510360881943714*c_1010_6^6 + 2595474376749786852468555/116696510360881943714*c_1010_6^5 + 1841030175789913592525201/116696510360881943714*c_1010_6^4 + 587179650774422758605409/58348255180440971857*c_1010_6^3 + 408944181553950097835703/116696510360881943714*c_1010_6^2 + 41896812523856752929922/58348255180440971857*c_1010_6 - 13855324522121629233933/116696510360881943714, c_0011_0 - 1, c_0011_10 - 2284781/46647178*c_1010_6^15 - 3181890/23323589*c_1010_6^14 - 17789310/23323589*c_1010_6^13 - 80221201/46647178*c_1010_6^12 - 224175357/46647178*c_1010_6^11 - 199233718/23323589*c_1010_6^10 - 724535597/46647178*c_1010_6^9 - 975802817/46647178*c_1010_6^8 - 1249963551/46647178*c_1010_6^7 - 586532054/23323589*c_1010_6^6 - 525993471/23323589*c_1010_6^5 - 254606753/23323589*c_1010_6^4 - 125290871/23323589*c_1010_6^3 + 109773785/46647178*c_1010_6^2 + 42121962/23323589*c_1010_6 + 25260402/23323589, c_0011_11 + 19519423/93294356*c_1010_6^15 + 28284973/46647178*c_1010_6^14 + 74493935/23323589*c_1010_6^13 + 168842974/23323589*c_1010_6^12 + 1797170939/93294356*c_1010_6^11 + 1579738383/46647178*c_1010_6^10 + 5475612497/93294356*c_1010_6^9 + 3630509681/46647178*c_1010_6^8 + 4422395081/46647178*c_1010_6^7 + 8193155969/93294356*c_1010_6^6 + 6951723549/93294356*c_1010_6^5 + 1682162595/46647178*c_1010_6^4 + 1396210327/93294356*c_1010_6^3 - 543775681/93294356*c_1010_6^2 - 787812003/93294356*c_1010_6 - 91128677/93294356, c_0011_6 + 2334549/46647178*c_1010_6^15 + 1103590/23323589*c_1010_6^14 + 13601798/23323589*c_1010_6^13 + 12405010/23323589*c_1010_6^12 + 127744587/46647178*c_1010_6^11 + 56263522/23323589*c_1010_6^10 + 320361449/46647178*c_1010_6^9 + 128221278/23323589*c_1010_6^8 + 245378643/23323589*c_1010_6^7 + 267991055/46647178*c_1010_6^6 + 493647289/46647178*c_1010_6^5 + 1689178/23323589*c_1010_6^4 + 305959145/46647178*c_1010_6^3 - 180985495/46647178*c_1010_6^2 + 49191051/46647178*c_1010_6 - 50969421/46647178, c_0101_0 - 1, c_0101_10 + 1101491/23323589*c_1010_6^15 + 1437064/23323589*c_1010_6^14 + 12344659/23323589*c_1010_6^13 + 13909418/23323589*c_1010_6^12 + 52267282/23323589*c_1010_6^11 + 48410184/23323589*c_1010_6^10 + 105191339/23323589*c_1010_6^9 + 68803984/23323589*c_1010_6^8 + 108864575/23323589*c_1010_6^7 + 13765515/23323589*c_1010_6^6 + 67501362/23323589*c_1010_6^5 - 74070199/23323589*c_1010_6^4 + 32371646/23323589*c_1010_6^3 - 62279517/23323589*c_1010_6^2 - 540291/23323589*c_1010_6 - 5329259/23323589, c_0101_11 + 5138559/93294356*c_1010_6^15 + 4103779/23323589*c_1010_6^14 + 21750872/23323589*c_1010_6^13 + 104236129/46647178*c_1010_6^12 + 286252891/46647178*c_1010_6^11 + 260448168/23323589*c_1010_6^10 + 939863325/46647178*c_1010_6^9 + 1281134981/46647178*c_1010_6^8 + 1615757157/46647178*c_1010_6^7 + 772210606/23323589*c_1010_6^6 + 667258129/23323589*c_1010_6^5 + 335686093/23323589*c_1010_6^4 + 148393680/23323589*c_1010_6^3 - 134620185/46647178*c_1010_6^2 - 65105963/23323589*c_1010_6 - 30047017/93294356, c_0101_12 + 12065345/93294356*c_1010_6^15 + 35184783/93294356*c_1010_6^14 + 47634764/23323589*c_1010_6^13 + 432853229/93294356*c_1010_6^12 + 1185084637/93294356*c_1010_6^11 + 521940836/23323589*c_1010_6^10 + 1857294261/46647178*c_1010_6^9 + 4947533429/93294356*c_1010_6^8 + 1539600817/23323589*c_1010_6^7 + 2869751135/46647178*c_1010_6^6 + 1242165276/23323589*c_1010_6^5 + 2386235531/93294356*c_1010_6^4 + 1091593459/93294356*c_1010_6^3 - 458326521/93294356*c_1010_6^2 - 509995239/93294356*c_1010_6 - 61093473/93294356, c_0101_3 + 131567/46647178*c_1010_6^15 - 333474/23323589*c_1010_6^14 + 1257139/23323589*c_1010_6^13 - 1504408/23323589*c_1010_6^12 + 23210023/46647178*c_1010_6^11 + 7853338/23323589*c_1010_6^10 + 109978771/46647178*c_1010_6^9 + 59417294/23323589*c_1010_6^8 + 136514068/23323589*c_1010_6^7 + 240460025/46647178*c_1010_6^6 + 358644565/46647178*c_1010_6^5 + 75759377/23323589*c_1010_6^4 + 241215853/46647178*c_1010_6^3 - 56426461/46647178*c_1010_6^2 + 50271633/46647178*c_1010_6 - 40310903/46647178, c_0110_5 + 2284781/46647178*c_1010_6^15 + 3181890/23323589*c_1010_6^14 + 17789310/23323589*c_1010_6^13 + 80221201/46647178*c_1010_6^12 + 224175357/46647178*c_1010_6^11 + 199233718/23323589*c_1010_6^10 + 724535597/46647178*c_1010_6^9 + 975802817/46647178*c_1010_6^8 + 1249963551/46647178*c_1010_6^7 + 586532054/23323589*c_1010_6^6 + 525993471/23323589*c_1010_6^5 + 254606753/23323589*c_1010_6^4 + 125290871/23323589*c_1010_6^3 - 109773785/46647178*c_1010_6^2 - 65445551/23323589*c_1010_6 - 25260402/23323589, c_0110_8 - 636450/23323589*c_1010_6^15 - 1308193/23323589*c_1010_6^14 - 19326801/46647178*c_1010_6^13 - 17365888/23323589*c_1010_6^12 - 119769203/46647178*c_1010_6^11 - 90004837/23323589*c_1010_6^10 - 190982196/23323589*c_1010_6^9 - 456714141/46647178*c_1010_6^8 - 661749935/46647178*c_1010_6^7 - 282004864/23323589*c_1010_6^6 - 611748025/46647178*c_1010_6^5 - 226437963/46647178*c_1010_6^4 - 252295591/46647178*c_1010_6^3 + 63514993/23323589*c_1010_6^2 - 5492610/23323589*c_1010_6 + 25550494/23323589, c_1001_2 + 2284781/46647178*c_1010_6^15 + 3181890/23323589*c_1010_6^14 + 17789310/23323589*c_1010_6^13 + 80221201/46647178*c_1010_6^12 + 224175357/46647178*c_1010_6^11 + 199233718/23323589*c_1010_6^10 + 724535597/46647178*c_1010_6^9 + 975802817/46647178*c_1010_6^8 + 1249963551/46647178*c_1010_6^7 + 586532054/23323589*c_1010_6^6 + 525993471/23323589*c_1010_6^5 + 254606753/23323589*c_1010_6^4 + 125290871/23323589*c_1010_6^3 - 109773785/46647178*c_1010_6^2 - 42121962/23323589*c_1010_6 - 25260402/23323589, c_1010_6^16 + 3*c_1010_6^15 + 16*c_1010_6^14 + 37*c_1010_6^13 + 101*c_1010_6^12 + 180*c_1010_6^11 + 323*c_1010_6^10 + 435*c_1010_6^9 + 553*c_1010_6^8 + 528*c_1010_6^7 + 476*c_1010_6^6 + 254*c_1010_6^5 + 138*c_1010_6^4 - 21*c_1010_6^3 - 28*c_1010_6^2 - 16*c_1010_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.300 Total time: 0.500 seconds, Total memory usage: 32.09MB