Magma V2.19-8 Wed Aug 21 2013 01:02:00 on localhost [Seed = 1495220988] Type ? for help. Type -D to quit. Loading file "L14n13623__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13623 geometric_solution 11.99303463 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 1 0132 0132 3201 3201 1 1 1 1 0 0 0 0 -1 0 1 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 13 0 -13 0 0 0 0 0 0 13 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.058025323359 0.790280629982 0 0 4 3 0132 2310 0132 0132 1 1 1 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 -13 0 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.092410194551 1.258588191137 0 0 6 5 2310 0132 0132 0132 1 1 1 1 0 0 0 0 -1 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 -1 1 0 13 0 -13 0 13 -13 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.092410194551 1.258588191137 5 5 1 7 0213 0132 0132 0132 1 1 1 1 0 0 0 0 -1 0 0 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 0 0 0 12 0 0 -12 12 -12 0 0 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.429190560136 0.890834522764 8 9 7 1 0132 0132 0132 0132 1 1 1 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 13 -13 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.231112904925 0.864837306486 3 3 2 8 0213 0132 0132 3012 1 1 1 1 0 0 0 0 1 0 0 -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 0 0 0 -12 0 0 12 -12 12 0 0 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.429190560136 0.890834522764 7 10 11 2 1302 0132 0132 0132 1 1 1 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 -13 13 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.747561487862 1.107094642096 10 6 3 4 0321 2031 0132 0132 1 1 0 1 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 0 12 -13 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.231112904925 0.864837306486 4 12 5 9 0132 0132 1230 1023 1 1 0 1 0 -1 1 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 12 -12 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 0.195782297039 0.858623077096 12 4 10 8 0132 0132 3120 1023 1 1 0 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.020803593985 1.126068922379 7 6 9 11 0321 0132 3120 3120 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 -1 0 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 0.439721313665 0.505676392177 10 12 12 6 3120 1230 2031 0132 1 1 0 1 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 -13 13 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.439721313665 0.505676392177 9 8 11 11 0132 0132 3012 1302 1 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 0 0 0 0 0 0 0 0 0 0 -12 -1 13 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 0.020803593985 1.126068922379 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_11']), 'c_1001_10' : negation(d['c_1001_1']), 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0011_10']), 'c_1001_7' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : d['c_1001_8'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0011_11']), 's_3_11' : d['1'], 's_3_10' : 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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_8']), 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : negation(d['c_1001_8']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_1100_1'], 'c_1100_2' : negation(d['c_1001_8']), 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0101_10']), 'c_1100_11' : negation(d['c_1001_8']), 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_1001_1']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0011_11']), 'c_1100_8' : d['c_0101_10'], 's_3_1' : negation(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' : negation(d['1']), 's_3_8' : negation(d['1']), 'c_1100_12' : d['c_0101_11'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_12'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_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_7']), 'c_0110_10' : negation(d['c_0011_7']), 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : negation(d['c_0011_11']), 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : negation(d['c_0011_7']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_10']), 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_2']})} 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_0011_7, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_1001_1, c_1001_8, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 1678595769869725/13849179410936*c_1100_1^13 - 1614316142956363/13849179410936*c_1100_1^12 + 7839397242289087/6924589705468*c_1100_1^11 - 37103792250387273/110793435287488*c_1100_1^10 + 97984602428897103/110793435287488*c_1100_1^9 + 1279830643117315779/443173741149952*c_1100_1^8 - 255108293847216559/221586870574976*c_1100_1^7 + 56434762946086795/221586870574976*c_1100_1^6 + 39637584691277817/13034521798528*c_1100_1^5 - 106914659587736035/110793435287488*c_1100_1^4 - 201889662074584509/221586870574976*c_1100_1^3 + 233419526664330719/221586870574976*c_1100_1^2 + 53179483046896725/221586870574976*c_1100_1 - 78137595258975239/443173741149952, c_0011_0 - 1, c_0011_10 - 510777967/1057081677*c_1100_1^13 + 5122219061/2114163354*c_1100_1^12 - 9184402196/1057081677*c_1100_1^11 + 202351969883/8456653416*c_1100_1^10 - 579400158097/16913306832*c_1100_1^9 + 1083435726167/33826613664*c_1100_1^8 + 575198599697/67653227328*c_1100_1^7 - 859019786973/22551075776*c_1100_1^6 + 2361957714673/67653227328*c_1100_1^5 + 167728390325/67653227328*c_1100_1^4 - 483663819831/22551075776*c_1100_1^3 + 659904989723/67653227328*c_1100_1^2 + 252587564647/67653227328*c_1100_1 - 50551244085/22551075776, c_0011_11 + 397648871/2114163354*c_1100_1^13 - 204616831/2114163354*c_1100_1^12 + 655789799/352360559*c_1100_1^11 - 1863599641/5637768944*c_1100_1^10 + 65294047283/16913306832*c_1100_1^9 - 39208573703/67653227328*c_1100_1^8 + 159680367197/16913306832*c_1100_1^7 - 69933796499/8456653416*c_1100_1^6 + 97007854583/16913306832*c_1100_1^5 + 199351629985/33826613664*c_1100_1^4 - 151186018933/16913306832*c_1100_1^3 + 26690396551/16913306832*c_1100_1^2 + 21865983455/8456653416*c_1100_1 - 123803696723/67653227328, c_0011_12 - 1, c_0011_3 - 5679030503/1409442236*c_1100_1^13 + 13334774141/1409442236*c_1100_1^12 - 17159000285/352360559*c_1100_1^11 + 833802936315/11275537888*c_1100_1^10 - 1212053800073/11275537888*c_1100_1^9 + 752343109327/45102151552*c_1100_1^8 + 1518252406099/22551075776*c_1100_1^7 - 1239258553167/11275537888*c_1100_1^6 + 477313968731/22551075776*c_1100_1^5 + 1059750788745/22551075776*c_1100_1^4 - 863297907695/22551075776*c_1100_1^3 - 16667117795/5637768944*c_1100_1^2 + 188034991555/22551075776*c_1100_1 - 46446804761/45102151552, c_0011_7 + 1, c_0101_1 - 5732014889/2818884472*c_1100_1^13 + 8795424669/2818884472*c_1100_1^12 - 29364233485/1409442236*c_1100_1^11 + 402961648421/22551075776*c_1100_1^10 - 584835489625/22551075776*c_1100_1^9 - 2782093772071/90204303104*c_1100_1^8 + 394867838519/11275537888*c_1100_1^7 - 66159087955/2818884472*c_1100_1^6 - 336396242281/11275537888*c_1100_1^5 + 1194254666805/45102151552*c_1100_1^4 + 43050129619/11275537888*c_1100_1^3 - 317555920423/22551075776*c_1100_1^2 - 6312074961/22551075776*c_1100_1 + 239138148485/90204303104, c_0101_10 + 947936687/2818884472*c_1100_1^13 - 5108366441/2818884472*c_1100_1^12 + 8688441101/1409442236*c_1100_1^11 - 399100245331/22551075776*c_1100_1^10 + 535229939157/22551075776*c_1100_1^9 - 1932097392847/90204303104*c_1100_1^8 - 574913461061/45102151552*c_1100_1^7 + 1477310345489/45102151552*c_1100_1^6 - 1285365981333/45102151552*c_1100_1^5 - 148007296613/22551075776*c_1100_1^4 + 883802610465/45102151552*c_1100_1^3 - 372259007699/45102151552*c_1100_1^2 - 182670598913/45102151552*c_1100_1 + 244387405395/90204303104, c_0101_11 - 6575434873/704721118*c_1100_1^13 + 26292380771/1409442236*c_1100_1^12 - 36929911947/352360559*c_1100_1^11 + 744349421245/5637768944*c_1100_1^10 - 2104070600903/11275537888*c_1100_1^9 - 1012426098535/22551075776*c_1100_1^8 + 7673726730647/45102151552*c_1100_1^7 - 8431946317549/45102151552*c_1100_1^6 - 1666880642921/45102151552*c_1100_1^5 + 5765951690879/45102151552*c_1100_1^4 - 1917648254403/45102151552*c_1100_1^3 - 1592343145671/45102151552*c_1100_1^2 + 643831319153/45102151552*c_1100_1 + 231462232123/45102151552, c_0101_2 + 5732014889/2818884472*c_1100_1^13 - 8795424669/2818884472*c_1100_1^12 + 29364233485/1409442236*c_1100_1^11 - 402961648421/22551075776*c_1100_1^10 + 584835489625/22551075776*c_1100_1^9 + 2782093772071/90204303104*c_1100_1^8 - 394867838519/11275537888*c_1100_1^7 + 66159087955/2818884472*c_1100_1^6 + 336396242281/11275537888*c_1100_1^5 - 1194254666805/45102151552*c_1100_1^4 - 43050129619/11275537888*c_1100_1^3 + 317555920423/22551075776*c_1100_1^2 + 6312074961/22551075776*c_1100_1 - 239138148485/90204303104, c_1001_1 - 947936687/2818884472*c_1100_1^13 + 5108366441/2818884472*c_1100_1^12 - 8688441101/1409442236*c_1100_1^11 + 399100245331/22551075776*c_1100_1^10 - 535229939157/22551075776*c_1100_1^9 + 1932097392847/90204303104*c_1100_1^8 + 574913461061/45102151552*c_1100_1^7 - 1477310345489/45102151552*c_1100_1^6 + 1285365981333/45102151552*c_1100_1^5 + 148007296613/22551075776*c_1100_1^4 - 883802610465/45102151552*c_1100_1^3 + 372259007699/45102151552*c_1100_1^2 + 182670598913/45102151552*c_1100_1 - 244387405395/90204303104, c_1001_8 - c_1100_1, c_1100_1^14 - 2*c_1100_1^13 + 11*c_1100_1^12 - 109/8*c_1100_1^11 + 69/4*c_1100_1^10 + 283/32*c_1100_1^9 - 763/32*c_1100_1^8 + 81/4*c_1100_1^7 + 17/2*c_1100_1^6 - 313/16*c_1100_1^5 + 81/16*c_1100_1^4 + 57/8*c_1100_1^3 - 7/2*c_1100_1^2 - 33/32*c_1100_1 + 17/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.140 Total time: 0.340 seconds, Total memory usage: 32.09MB