Magma V2.19-8 Wed Aug 21 2013 01:00:31 on localhost [Seed = 1747874658] Type ? for help. Type -D to quit. Loading file "L13n9504__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9504 geometric_solution 12.27378513 oriented_manifold CS_known 0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 2 0 0 1 -1 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 0 1 1 -2 -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 -0.034512886691 0.773233200078 0 5 2 6 0132 0132 1023 0132 2 1 2 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 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 0.485358733091 0.753979815281 7 0 1 8 0132 0132 1023 0132 1 2 2 0 0 0 0 0 0 0 0 0 -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 -1 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 1.178984261165 1.149697288759 9 10 11 0 0132 0132 0132 0132 1 1 2 2 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 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 0.849212573014 1.132204960766 7 5 0 9 3012 1302 0132 1023 1 1 2 0 0 -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 -1 2 -1 0 0 0 0 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.034512886691 0.773233200078 7 1 12 4 1023 0132 0132 2031 2 1 0 2 0 0 0 0 -1 0 0 1 -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 -1 0 0 1 -2 0 0 2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.396364026349 0.937717421941 11 10 1 12 1023 1023 0132 3120 2 1 2 2 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 0 1 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 0.716517754433 0.636586153326 2 5 10 4 0132 1023 0132 1230 1 2 0 2 0 1 -1 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 1 -1 0 0 0 0 0 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.132204960766 0.849212573014 12 10 2 9 1302 0213 0132 0321 1 2 2 2 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 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 0.774196191533 0.988478679637 3 8 11 4 0132 0321 1023 1023 1 1 2 2 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 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 0.849212573014 1.132204960766 6 3 8 7 1023 0132 0213 0132 1 2 2 2 0 -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 -1 0 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 0.508905168766 0.627020354354 12 6 9 3 2103 1023 1023 0132 1 1 2 2 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 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.303629928245 0.776058254720 6 8 11 5 3120 2031 2103 0132 2 1 2 2 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 1 -1 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 0.583772330798 1.310915897882 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_0'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0011_8'], 'c_1010_11' : d['c_0101_5'], 'c_1010_10' : d['c_0101_5'], 's_3_11' : 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_0011_8'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(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' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0110_4'], 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_11'], 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_1100_0']), 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_0110_4'], 's_3_10' : negation(d['1']), 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0011_12']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0110_4'], 'c_1010_8' : d['c_0110_4'], 'c_1100_8' : d['c_0101_11'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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_3']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0101_11'], 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_12']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_12']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_4'], 'c_0110_6' : d['c_0101_5']})} 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_4, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0101_5, c_0110_4, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 3494548529/70877216*c_1100_0^7 + 331198064815/1204912672*c_1100_0^6 - 754618443055/1204912672*c_1100_0^5 + 571633345859/602456336*c_1100_0^4 - 786868724075/602456336*c_1100_0^3 + 741894226813/602456336*c_1100_0^2 - 272952010337/602456336*c_1100_0 - 2756436743/17719304, c_0011_0 - 1, c_0011_10 + 28535/1042312*c_1100_0^7 - 380219/4429826*c_1100_0^6 - 1508165/17719304*c_1100_0^5 + 1273926/2214913*c_1100_0^4 - 8205031/8859652*c_1100_0^3 + 4019482/2214913*c_1100_0^2 - 22308943/8859652*c_1100_0 + 1488022/2214913, c_0011_12 + 584075/1042312*c_1100_0^7 - 15290869/4429826*c_1100_0^6 + 153654125/17719304*c_1100_0^5 - 250443863/17719304*c_1100_0^4 + 181069761/8859652*c_1100_0^3 - 47668418/2214913*c_1100_0^2 + 105652719/8859652*c_1100_0 - 24149641/8859652, c_0011_4 + 705783/1042312*c_1100_0^7 - 35568305/8859652*c_1100_0^6 + 21721221/2214913*c_1100_0^5 - 281242051/17719304*c_1100_0^4 + 201121961/8859652*c_1100_0^3 - 104151721/4429826*c_1100_0^2 + 29397731/2214913*c_1100_0 - 20863537/8859652, c_0011_8 - 118717/1042312*c_1100_0^7 + 2270671/4429826*c_1100_0^6 - 2134080/2214913*c_1100_0^5 + 23129349/17719304*c_1100_0^4 - 16719779/8859652*c_1100_0^3 + 3664717/2214913*c_1100_0^2 - 574612/2214913*c_1100_0 + 153019/8859652, c_0101_0 - 1, c_0101_1 - 1, c_0101_11 + 206125/260578*c_1100_0^7 - 2359391/521156*c_1100_0^6 + 1403253/130289*c_1100_0^5 - 2238025/130289*c_1100_0^4 + 3203555/130289*c_1100_0^3 - 6557715/260578*c_1100_0^2 + 1763079/130289*c_1100_0 - 309067/130289, c_0101_3 + 405297/1042312*c_1100_0^7 - 1416135/521156*c_1100_0^6 + 2008159/260578*c_1100_0^5 - 14119323/1042312*c_1100_0^4 + 10436919/521156*c_1100_0^3 - 6035287/260578*c_1100_0^2 + 2034300/130289*c_1100_0 - 2314113/521156, c_0101_5 - 468843/1042312*c_1100_0^7 + 2609941/1042312*c_1100_0^6 - 6444903/1042312*c_1100_0^5 + 11264443/1042312*c_1100_0^4 - 8087421/521156*c_1100_0^3 + 8279359/521156*c_1100_0^2 - 5609753/521156*c_1100_0 + 1446449/521156, c_0110_4 + 60061/1042312*c_1100_0^7 - 115653/521156*c_1100_0^6 + 1569/1042312*c_1100_0^5 + 747881/1042312*c_1100_0^4 - 769273/521156*c_1100_0^3 + 858381/260578*c_1100_0^2 - 2057537/521156*c_1100_0 + 902547/521156, c_1001_0 + c_1100_0 - 1, c_1100_0^8 - 112/17*c_1100_0^7 + 320/17*c_1100_0^6 - 592/17*c_1100_0^5 + 892/17*c_1100_0^4 - 1056/17*c_1100_0^3 + 832/17*c_1100_0^2 - 352/17*c_1100_0 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB