Magma V2.19-8 Tue Aug 20 2013 23:44:10 on localhost [Seed = 3549804087] Type ? for help. Type -D to quit. Loading file "K13n1767__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1767 geometric_solution 11.03936390 oriented_manifold CS_known -0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 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 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 1.308476493849 0.664271448536 0 5 5 6 0132 0132 0321 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 -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 0.301067687621 0.524119269487 7 0 3 7 0132 0132 3012 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.954112674052 0.908712452279 8 2 5 0 0132 1230 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.784324862263 0.686091737336 9 8 0 9 0132 2103 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 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 0.657626224446 0.863396465040 3 1 1 10 2031 0132 0321 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 0.301067687621 0.524119269487 8 11 1 11 2103 0132 0132 0213 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 -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 0.453200845442 0.633106522595 2 8 10 2 0132 0321 1302 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.382992139487 0.637538976659 3 4 6 7 0132 2103 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.118117721278 1.183443833681 4 10 11 4 0132 3120 1023 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.657626224446 0.863396465040 7 9 5 11 2031 3120 0132 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 -1 1 0 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.303849243067 0.929099686041 10 6 9 6 3120 0132 1023 0213 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 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 0.453200845442 0.633106522595 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_9'], 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_0110_10'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0101_11']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_10'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : negation(d['c_0011_11']), 's_3_11' : d['1'], 's_3_10' : 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_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' : negation(d['c_0101_9']), 'c_1100_8' : d['c_0110_10'], 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : negation(d['c_0101_1']), 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_1001_5'], 'c_1100_1' : d['c_1001_5'], 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : negation(d['c_0101_10']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_9'], 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_0101_9'], 'c_1010_5' : negation(d['c_0101_11']), 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_3']), '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'], '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_11'], 'c_0011_8' : negation(d['c_0011_3']), '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' : negation(d['c_0011_11']), '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' : d['c_0110_10'], 'c_0110_10' : d['c_0110_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0110_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_9, c_0110_10, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 119715361709055/109550289152*c_1001_5^7 + 283714865069853/7778070529792*c_1001_5^6 - 189775435245845/228766780288*c_1001_5^5 - 14990980505340103/3889035264896*c_1001_5^4 - 5465722875423127/1944517632448*c_1001_5^3 - 699567370939725/1944517632448*c_1001_5^2 - 1228079664910987/972258816224*c_1001_5 - 273010444831377/972258816224, c_0011_0 - 1, c_0011_10 - 482587/418016*c_1001_5^7 + 21527/104504*c_1001_5^6 - 49849/209008*c_1001_5^5 - 431757/104504*c_1001_5^4 - 163949/104504*c_1001_5^3 + 31345/52252*c_1001_5^2 + 11241/52252*c_1001_5 - 168/13063, c_0011_11 + 336043/836032*c_1001_5^7 + 1886/13063*c_1001_5^6 + 455549/418016*c_1001_5^5 + 256003/209008*c_1001_5^4 + 423609/209008*c_1001_5^3 + 26606/13063*c_1001_5^2 + 113343/104504*c_1001_5 + 13001/52252, c_0011_3 + 443679/836032*c_1001_5^7 - 148609/418016*c_1001_5^6 + 215993/418016*c_1001_5^5 + 306665/209008*c_1001_5^4 + 102361/209008*c_1001_5^3 - 78483/104504*c_1001_5^2 + 6647/104504*c_1001_5 - 16225/52252, c_0101_0 - 443679/418016*c_1001_5^7 + 148609/209008*c_1001_5^6 - 215993/209008*c_1001_5^5 - 306665/104504*c_1001_5^4 - 102361/104504*c_1001_5^3 + 78483/52252*c_1001_5^2 - 6647/52252*c_1001_5 + 16225/26126, c_0101_1 - 443679/836032*c_1001_5^7 + 148609/418016*c_1001_5^6 - 215993/418016*c_1001_5^5 - 306665/209008*c_1001_5^4 - 102361/209008*c_1001_5^3 + 78483/104504*c_1001_5^2 - 6647/104504*c_1001_5 + 16225/52252, c_0101_10 - 2318079/836032*c_1001_5^7 + 179081/104504*c_1001_5^6 - 1413095/418016*c_1001_5^5 - 739783/104504*c_1001_5^4 - 681801/209008*c_1001_5^3 + 1331/52252*c_1001_5^2 - 76081/104504*c_1001_5 + 3619/13063, c_0101_11 + 1151975/836032*c_1001_5^7 + 248979/836032*c_1001_5^6 + 597741/418016*c_1001_5^5 + 1968293/418016*c_1001_5^4 + 1085465/209008*c_1001_5^3 + 556661/209008*c_1001_5^2 + 136019/104504*c_1001_5 + 71547/104504, c_0101_2 - 443679/418016*c_1001_5^7 + 148609/209008*c_1001_5^6 - 215993/209008*c_1001_5^5 - 306665/104504*c_1001_5^4 - 102361/104504*c_1001_5^3 + 78483/52252*c_1001_5^2 - 6647/52252*c_1001_5 - 9901/26126, c_0101_9 - 1301217/836032*c_1001_5^7 + 6439/104504*c_1001_5^6 - 555247/418016*c_1001_5^5 - 1119517/209008*c_1001_5^4 - 751507/209008*c_1001_5^3 - 75079/52252*c_1001_5^2 - 90861/104504*c_1001_5 - 13673/52252, c_0110_10 + 160673/836032*c_1001_5^7 - 35309/104504*c_1001_5^6 - 344843/418016*c_1001_5^5 + 287925/209008*c_1001_5^4 - 337985/209008*c_1001_5^3 - 44123/26126*c_1001_5^2 - 7029/104504*c_1001_5 + 18879/52252, c_1001_5^8 - 12/71*c_1001_5^7 + 92/71*c_1001_5^6 + 216/71*c_1001_5^5 + 192/71*c_1001_5^4 + 112/71*c_1001_5^3 + 80/71*c_1001_5^2 + 32/71*c_1001_5 + 16/71 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 8.830 Total time: 9.050 seconds, Total memory usage: 83.88MB