Magma V2.19-8 Tue Aug 20 2013 23:45:08 on localhost [Seed = 3137134438] Type ? for help. Type -D to quit. Loading file "K13n2359__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2359 geometric_solution 11.17458840 oriented_manifold CS_known -0.0000000000000002 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 -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 -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 0.140731268649 1.029809882955 0 5 4 6 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.423694700910 0.545314288817 7 0 3 8 0132 0132 3201 0132 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 1 -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 0.680434747117 0.475519794466 2 9 6 0 2310 0132 0132 0132 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 1 -1 -1 0 0 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 0.510785988658 0.864408489415 5 7 0 1 0132 0132 0132 0132 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 1 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 -0.029532596859 1.626128118224 4 1 9 10 0132 0132 3201 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 -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 0.582521145329 0.776712977732 7 11 1 3 3201 0132 0132 0132 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 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 0.218420020340 0.824744683975 2 4 10 6 0132 0132 0213 2310 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 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 0.731509670194 0.771095535998 9 11 2 11 2031 1302 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 0 0 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 0.909446929016 0.844287841045 5 3 8 10 2310 0132 1302 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.229389882119 1.861341817514 9 7 5 11 3201 0213 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.226468381449 0.389252202434 8 6 10 8 3120 0132 2031 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.396622966053 0.808425851877 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_10']), 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_7' : d['c_1001_1'], 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0110_11'], 'c_1001_3' : negation(d['c_0110_10']), 'c_1001_2' : negation(d['c_0101_3']), 'c_1001_9' : d['c_0110_11'], 'c_1001_8' : d['c_0110_11'], 'c_1010_11' : d['c_0011_8'], '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_0011_3'], 'c_0101_10' : d['c_0101_1'], '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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_3']), 's_0_10' : d['1'], 'c_1100_9' : d['c_0011_10'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_0011_3'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_3']), 'c_1010_6' : negation(d['c_0110_10']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0110_11'], 'c_1010_2' : d['c_0110_11'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : negation(d['c_0101_3']), 'c_1010_9' : negation(d['c_0110_10']), 'c_1010_8' : negation(d['c_0011_11']), '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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), '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_11'], 'c_0110_10' : d['c_0110_10'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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' : negation(d['c_0011_8']), 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_1']), 'c_0110_8' : d['c_0110_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0101_3']})} 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_0011_8, c_0101_0, c_0101_1, c_0101_3, c_0110_10, c_0110_11, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 4486545740968407/5586192260989835*c_1100_0^9 - 4214816293302877/1015671320179970*c_1100_0^8 + 2564413699159864/1117238452197967*c_1100_0^7 + 88321982215709589/11172384521979670*c_1100_0^6 + 12862022922644048/507835660089985*c_1100_0^5 + 285207025611097649/11172384521979670*c_1100_0^4 + 787368430692066951/11172384521979670*c_1100_0^3 + 35488272061734044/507835660089985*c_1100_0^2 - 6319010312023597/2234476904395934*c_1100_0 + 50650887629325143/11172384521979670, c_0011_0 - 1, c_0011_10 - 9849324/882264157*c_1100_0^9 + 33597207/882264157*c_1100_0^8 + 71250690/882264157*c_1100_0^7 - 229074482/882264157*c_1100_0^6 - 236729584/882264157*c_1100_0^5 - 1214561239/882264157*c_1100_0^4 - 817895638/882264157*c_1100_0^3 - 2863781449/882264157*c_1100_0^2 - 514934694/882264157*c_1100_0 - 1640011483/882264157, c_0011_11 + 25498737/882264157*c_1100_0^9 - 159894606/882264157*c_1100_0^8 + 268471778/882264157*c_1100_0^7 - 167092700/882264157*c_1100_0^6 + 1175163943/882264157*c_1100_0^5 - 373872566/882264157*c_1100_0^4 + 2765288209/882264157*c_1100_0^3 - 410901762/882264157*c_1100_0^2 + 1718806075/882264157*c_1100_0 - 1069401313/882264157, c_0011_3 - 31001438/4411320785*c_1100_0^9 + 241202084/4411320785*c_1100_0^8 - 129896430/882264157*c_1100_0^7 + 779679317/4411320785*c_1100_0^6 - 1232270832/4411320785*c_1100_0^5 + 736069437/4411320785*c_1100_0^4 - 3820084122/4411320785*c_1100_0^3 + 4117528429/4411320785*c_1100_0^2 - 1043773760/882264157*c_1100_0 - 736187686/4411320785, c_0011_8 + 91823489/4411320785*c_1100_0^9 - 530953867/4411320785*c_1100_0^8 + 142483801/882264157*c_1100_0^7 - 242871276/4411320785*c_1100_0^6 + 3705707441/4411320785*c_1100_0^5 + 2179873079/4411320785*c_1100_0^4 + 9312175621/4411320785*c_1100_0^3 + 2809840713/4411320785*c_1100_0^2 + 1088924637/882264157*c_1100_0 - 498446892/4411320785, c_0101_0 + 64649774/4411320785*c_1100_0^9 - 526666022/4411320785*c_1100_0^8 + 268721438/882264157*c_1100_0^7 - 936695471/4411320785*c_1100_0^6 + 1683569196/4411320785*c_1100_0^5 - 3874262166/4411320785*c_1100_0^4 + 4274968966/4411320785*c_1100_0^3 - 11420470057/4411320785*c_1100_0^2 - 204712556/882264157*c_1100_0 - 5335810442/4411320785, c_0101_1 + 225641238/4411320785*c_1100_0^9 - 1311270559/4411320785*c_1100_0^8 + 333560662/882264157*c_1100_0^7 + 166107503/4411320785*c_1100_0^6 + 7863047072/4411320785*c_1100_0^5 + 3424624473/4411320785*c_1100_0^4 + 23409656682/4411320785*c_1100_0^3 + 7479109811/4411320785*c_1100_0^2 + 1940241968/882264157*c_1100_0 + 1064819811/4411320785, c_0101_3 + 315161996/4411320785*c_1100_0^9 - 1905043748/4411320785*c_1100_0^8 + 540430627/882264157*c_1100_0^7 - 12193369/4411320785*c_1100_0^6 + 10812260414/4411320785*c_1100_0^5 + 899471966/4411320785*c_1100_0^4 + 31387146289/4411320785*c_1100_0^3 + 260844102/4411320785*c_1100_0^2 + 2389029724/882264157*c_1100_0 - 1495571113/4411320785, c_0110_10 - 9849324/882264157*c_1100_0^9 + 33597207/882264157*c_1100_0^8 + 71250690/882264157*c_1100_0^7 - 229074482/882264157*c_1100_0^6 - 236729584/882264157*c_1100_0^5 - 1214561239/882264157*c_1100_0^4 - 817895638/882264157*c_1100_0^3 - 2863781449/882264157*c_1100_0^2 - 514934694/882264157*c_1100_0 - 1640011483/882264157, c_0110_11 + 35348061/882264157*c_1100_0^9 - 193491813/882264157*c_1100_0^8 + 197221088/882264157*c_1100_0^7 + 61981782/882264157*c_1100_0^6 + 1411893527/882264157*c_1100_0^5 + 840688673/882264157*c_1100_0^4 + 3583183847/882264157*c_1100_0^3 + 2452879687/882264157*c_1100_0^2 + 2233740769/882264157*c_1100_0 + 570610170/882264157, c_1001_1 - 133817749/4411320785*c_1100_0^9 + 780316692/4411320785*c_1100_0^8 - 191076861/882264157*c_1100_0^7 - 408978779/4411320785*c_1100_0^6 - 4157339631/4411320785*c_1100_0^5 - 1244751394/4411320785*c_1100_0^4 - 14097481061/4411320785*c_1100_0^3 - 4669269098/4411320785*c_1100_0^2 - 851317331/882264157*c_1100_0 - 1563266703/4411320785, c_1100_0^10 - 6*c_1100_0^9 + 9*c_1100_0^8 - 4*c_1100_0^7 + 41*c_1100_0^6 + 4*c_1100_0^5 + 121*c_1100_0^4 + 10*c_1100_0^3 + 94*c_1100_0^2 - 8*c_1100_0 + 19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.970 Total time: 1.179 seconds, Total memory usage: 32.09MB