Magma V2.19-8 Wed Aug 21 2013 01:02:08 on localhost [Seed = 3920622164] Type ? for help. Type -D to quit. Loading file "L14n13932__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13932 geometric_solution 11.82996800 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 0321 0132 1 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 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 0.188832392409 0.841572591256 0 4 6 5 0132 0132 0132 0132 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 0 0 0 0 0 0 -2 2 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 0.222096513837 0.865183430499 7 0 0 8 0132 0132 0321 0132 1 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 -1 0 1 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 0.188832392409 0.841572591256 9 6 0 10 0132 0213 0132 0132 1 0 0 0 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 -2 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 1.358757449317 0.843576019933 7 1 11 5 1023 0132 0132 0321 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 0 0 0 0 0 0 0 0 0 0 0 2 -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 0.538159113836 1.374991321734 12 4 1 10 0132 0321 0132 0321 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 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 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 1.542555114148 1.862240429199 9 10 3 1 3120 0321 0213 0132 1 0 0 0 0 0 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 2 -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 0 0 0 0.472676496723 0.595133850116 2 4 9 12 0132 1023 0321 0213 0 0 0 0 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.493111835303 0.891993893171 10 11 2 11 0321 0213 0132 0321 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 -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 0.156078027235 1.370776384813 3 11 7 6 0132 3012 0321 3120 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 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 0.750341767517 0.768252221305 8 5 3 6 0321 0321 0132 0321 1 0 0 0 0 1 -1 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 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 0.874073623069 0.568465053404 9 8 8 4 1230 0321 0213 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.917999899695 0.720176972006 5 12 12 7 0132 3201 2310 0213 0 0 0 0 0 1 0 -1 0 0 -1 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 1 -1 0 0 0 -1 1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.166227739104 0.635822254605 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : d['c_1001_2'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : d['c_1001_1'], 's_3_11' : 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' : negation(d['c_0011_10']), 'c_0101_11' : d['c_0011_6'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_1100_8' : d['c_1001_0'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_10'], 'c_1100_4' : d['c_1001_4'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : d['c_1001_10'], 'c_1100_1' : d['c_1001_10'], 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : d['c_1001_0'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_4'], 'c_1100_10' : d['c_1001_2'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_10'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : d['c_1001_4'], 's_3_1' : negation(d['1']), 's_3_0' : negation(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' : negation(d['1']), 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : 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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_6'], 'c_0011_5' : negation(d['c_0011_12']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0110_6' : d['c_0101_1'], '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_3']), 'c_0110_10' : negation(d['c_0011_6']), 'c_0110_12' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0101_10']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_10'], 'c_0110_2' : negation(d['c_0101_10']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0011_12'], 'c_0110_7' : negation(d['c_0101_0']), 'c_0011_10' : d['c_0011_10'], '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_12, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_1001_0, c_1001_1, c_1001_10, c_1001_2, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 4870080515/57024*c_1001_4^12 - 4074168251/38016*c_1001_4^11 + 31737794401/114048*c_1001_4^10 + 2838464741/3564*c_1001_4^9 - 117477902441/114048*c_1001_4^8 - 53543839271/114048*c_1001_4^7 - 2161703105/4224*c_1001_4^6 + 53202135895/28512*c_1001_4^5 + 1696404889/12672*c_1001_4^4 - 39784431215/38016*c_1001_4^3 - 11600638933/114048*c_1001_4^2 + 4066945475/19008*c_1001_4 + 5973630299/114048, c_0011_0 - 1, c_0011_10 + 2970245/95402*c_1001_4^12 + 26815891/763216*c_1001_4^11 - 78755185/763216*c_1001_4^10 - 52075099/190804*c_1001_4^9 + 308582611/763216*c_1001_4^8 + 73116375/763216*c_1001_4^7 + 149446659/763216*c_1001_4^6 - 266035065/381608*c_1001_4^5 + 49512427/763216*c_1001_4^4 + 252836981/763216*c_1001_4^3 - 5226241/763216*c_1001_4^2 - 23710431/381608*c_1001_4 - 8595745/763216, c_0011_12 + 594735/381608*c_1001_4^12 + 595641/381608*c_1001_4^11 - 1999009/381608*c_1001_4^10 - 4927979/381608*c_1001_4^9 + 4101257/190804*c_1001_4^8 + 517297/381608*c_1001_4^7 + 561197/47701*c_1001_4^6 - 3555605/95402*c_1001_4^5 + 1791291/190804*c_1001_4^4 + 579262/47701*c_1001_4^3 + 243171/381608*c_1001_4^2 - 298447/95402*c_1001_4 - 31689/190804, c_0011_3 - 159425/47701*c_1001_4^12 - 283275/190804*c_1001_4^11 + 1490651/95402*c_1001_4^10 + 4914271/190804*c_1001_4^9 - 6340685/95402*c_1001_4^8 - 230557/190804*c_1001_4^7 - 362864/47701*c_1001_4^6 + 9842109/95402*c_1001_4^5 - 6241897/190804*c_1001_4^4 - 2479247/47701*c_1001_4^3 + 1410445/190804*c_1001_4^2 + 1084559/95402*c_1001_4 + 346055/190804, c_0011_6 + 4210215/190804*c_1001_4^12 + 18292931/763216*c_1001_4^11 - 58243005/763216*c_1001_4^10 - 37061541/190804*c_1001_4^9 + 228019847/763216*c_1001_4^8 + 58783515/763216*c_1001_4^7 + 95000087/763216*c_1001_4^6 - 195305373/381608*c_1001_4^5 + 31681235/763216*c_1001_4^4 + 198904029/763216*c_1001_4^3 - 1548009/763216*c_1001_4^2 - 19610221/381608*c_1001_4 - 7582677/763216, c_0101_0 - 6785905/763216*c_1001_4^12 - 2395797/190804*c_1001_4^11 + 21036295/763216*c_1001_4^10 + 67004241/763216*c_1001_4^9 - 36479701/381608*c_1001_4^8 - 26277935/381608*c_1001_4^7 - 42361013/763216*c_1001_4^6 + 143230691/763216*c_1001_4^5 + 17328215/381608*c_1001_4^4 - 44222373/381608*c_1001_4^3 - 20988633/763216*c_1001_4^2 + 20259861/763216*c_1001_4 + 7151883/763216, c_0101_1 - 2367975/190804*c_1001_4^12 - 2414015/190804*c_1001_4^11 + 8109347/190804*c_1001_4^10 + 19927829/190804*c_1001_4^9 - 32822061/190804*c_1001_4^8 - 953443/47701*c_1001_4^7 - 15063099/190804*c_1001_4^6 + 13762266/47701*c_1001_4^5 - 10699695/190804*c_1001_4^4 - 11700113/95402*c_1001_4^3 + 2330003/190804*c_1001_4^2 + 4219223/190804*c_1001_4 + 299661/95402, c_0101_10 - 1266335/190804*c_1001_4^12 - 295861/190804*c_1001_4^11 + 2838239/95402*c_1001_4^10 + 8041839/190804*c_1001_4^9 - 13078653/95402*c_1001_4^8 + 4118571/95402*c_1001_4^7 - 6547465/190804*c_1001_4^6 + 38431809/190804*c_1001_4^5 - 12110549/95402*c_1001_4^4 - 9978421/190804*c_1001_4^3 + 1724574/47701*c_1001_4^2 + 403278/47701*c_1001_4 - 69309/47701, c_1001_0 - 1, c_1001_1 + 1185/16*c_1001_4^12 + 1511/16*c_1001_4^11 - 1927/8*c_1001_4^10 - 11153/16*c_1001_4^9 + 14147/16*c_1001_4^8 + 7009/16*c_1001_4^7 + 1737/4*c_1001_4^6 - 25787/16*c_1001_4^5 - 2585/16*c_1001_4^4 + 14965/16*c_1001_4^3 + 811/8*c_1001_4^2 - 3077/16*c_1001_4 - 189/4, c_1001_10 + 975/8*c_1001_4^12 + 2375/16*c_1001_4^11 - 6427/16*c_1001_4^10 - 2243/2*c_1001_4^9 + 24107/16*c_1001_4^8 + 9725/16*c_1001_4^7 + 11657/16*c_1001_4^6 - 10759/4*c_1001_4^5 - 1463/16*c_1001_4^4 + 23459/16*c_1001_4^3 + 1619/16*c_1001_4^2 - 2345/8*c_1001_4 - 1065/16, c_1001_2 - 1105/16*c_1001_4^12 - 88*c_1001_4^11 + 3535/16*c_1001_4^10 + 10293/16*c_1001_4^9 - 6535/8*c_1001_4^8 - 2961/8*c_1001_4^7 - 6861/16*c_1001_4^6 + 23703/16*c_1001_4^5 + 859/8*c_1001_4^4 - 6543/8*c_1001_4^3 - 1181/16*c_1001_4^2 + 2601/16*c_1001_4 + 611/16, c_1001_4^13 + 8/5*c_1001_4^12 - 14/5*c_1001_4^11 - 52/5*c_1001_4^10 + 44/5*c_1001_4^9 + 47/5*c_1001_4^8 + 8*c_1001_4^7 - 98/5*c_1001_4^6 - 44/5*c_1001_4^5 + 57/5*c_1001_4^4 + 26/5*c_1001_4^3 - 2*c_1001_4^2 - 7/5*c_1001_4 - 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.560 Total time: 0.770 seconds, Total memory usage: 32.09MB