Magma V2.19-8 Tue Aug 20 2013 16:15:56 on localhost [Seed = 2480017327] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0168 geometric_solution 3.93092781 oriented_manifold CS_known -0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 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 0 0 0 3.733670049673 0.563844497316 0 1 1 0 0132 3201 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.513172088013 0.038530197607 0 3 3 0 3201 0132 3201 0132 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.485241535609 0.303460288451 2 2 4 5 2310 0132 0132 0132 0 0 0 0 0 -1 0 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 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 0.458483866939 0.665961245262 6 5 5 3 0132 3012 1230 0132 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 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 0.988209499792 0.586413016442 4 6 3 4 1230 3201 0132 3012 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 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 0.988209499792 0.586413016442 4 6 5 6 0132 2310 2310 3201 0 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 -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 1.422689825153 0.835878323853 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['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_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_0_6' : 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_6' : d['c_0011_4'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 24524124301/1221810359*c_0101_4^10 + 49125908318/1221810359*c_0101_4^9 - 77098517928/174544337*c_0101_4^8 - 245756329308/174544337*c_0101_4^7 - 1080056964143/1221810359*c_0101_4^6 + 180276076486/111073669*c_0101_4^5 + 2411038373307/1221810359*c_0101_4^4 - 950108127378/1221810359*c_0101_4^3 - 1572888371245/1221810359*c_0101_4^2 + 247626505430/1221810359*c_0101_4 + 346812102809/1221810359, c_0011_0 - 1, c_0011_2 + 2766790/15867667*c_0101_4^10 + 447619/15867667*c_0101_4^9 - 65886085/15867667*c_0101_4^8 - 79350680/15867667*c_0101_4^7 + 113647024/15867667*c_0101_4^6 + 261232843/15867667*c_0101_4^5 - 14393799/15867667*c_0101_4^4 - 191129995/15867667*c_0101_4^3 - 1846567/15867667*c_0101_4^2 + 21264916/15867667*c_0101_4 + 12805806/15867667, c_0011_4 - 2600204/15867667*c_0101_4^10 - 461800/15867667*c_0101_4^9 + 62887332/15867667*c_0101_4^8 + 76038464/15867667*c_0101_4^7 - 128882309/15867667*c_0101_4^6 - 281809628/15867667*c_0101_4^5 + 43039316/15867667*c_0101_4^4 + 261650297/15867667*c_0101_4^3 - 9382653/15867667*c_0101_4^2 - 84556302/15867667*c_0101_4 + 3145783/15867667, c_0101_0 + 632937/15867667*c_0101_4^10 - 3702512/15867667*c_0101_4^9 - 17476349/15867667*c_0101_4^8 + 68352411/15867667*c_0101_4^7 + 172614220/15867667*c_0101_4^6 + 36746021/15867667*c_0101_4^5 - 230095467/15867667*c_0101_4^4 - 45786245/15867667*c_0101_4^3 + 152082516/15867667*c_0101_4^2 - 6062293/15867667*c_0101_4 - 18055082/15867667, c_0101_1 - 10248022/15867667*c_0101_4^10 - 11393228/15867667*c_0101_4^9 + 230736763/15867667*c_0101_4^8 + 505484017/15867667*c_0101_4^7 + 108087182/15867667*c_0101_4^6 - 633712915/15867667*c_0101_4^5 - 249431470/15867667*c_0101_4^4 + 421973210/15867667*c_0101_4^3 + 69881075/15867667*c_0101_4^2 - 100990665/15867667*c_0101_4 - 2434495/15867667, c_0101_3 - 9786365/15867667*c_0101_4^10 - 8498096/15867667*c_0101_4^9 + 225815534/15867667*c_0101_4^8 + 433078296/15867667*c_0101_4^7 - 76166331/15867667*c_0101_4^6 - 787282548/15867667*c_0101_4^5 - 179810063/15867667*c_0101_4^4 + 572481005/15867667*c_0101_4^3 + 64854896/15867667*c_0101_4^2 - 143896207/15867667*c_0101_4 + 3382898/15867667, c_0101_4^11 + 2*c_0101_4^10 - 22*c_0101_4^9 - 70*c_0101_4^8 - 44*c_0101_4^7 + 79*c_0101_4^6 + 94*c_0101_4^5 - 41*c_0101_4^4 - 61*c_0101_4^3 + 13*c_0101_4^2 + 13*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB