Magma V2.19-8 Tue Aug 20 2013 16:14:33 on localhost [Seed = 3768679661] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s535 geometric_solution 4.94866707 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 0 1 0 0132 1302 1023 2031 0 0 0 0 0 -1 -1 2 0 0 -1 1 1 -2 0 1 1 -1 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 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453048986889 0.387754245415 0 2 0 3 0132 0132 1023 0132 0 0 0 0 0 0 1 -1 0 0 1 -1 -1 0 0 1 -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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.113890940106 0.597577013745 4 1 5 3 0132 0132 0132 2310 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 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 0.209558422498 0.704357704253 2 5 1 4 3201 0132 0132 3201 0 0 0 0 0 -1 1 0 0 0 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 -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 0.209558422498 0.704357704253 2 3 4 4 0132 2310 1230 3012 0 0 0 0 0 0 1 -1 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.304449576332 0.656297137716 5 3 5 2 2031 0132 1302 0132 0 0 0 0 0 1 -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 0 0 0 0 1 -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 0 0 0 0.672161797773 1.608981364275 ==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' : negation(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_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' : negation(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_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_2'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_0']), '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' : d['c_0011_0'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_0']), 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 486419871407/605224380168*c_1001_2^11 - 1014191560745/201741460056*c_1001_2^10 - 1529839988323/100870730028*c_1001_2^9 + 15052096534459/151306095042*c_1001_2^8 - 64263310930963/605224380168*c_1001_2^7 - 74109143780279/605224380168*c_1001_2^6 + 141724759523029/605224380168*c_1001_2^5 + 7020195877225/151306095042*c_1001_2^4 - 103726040148139/605224380168*c_1001_2^3 - 9324512671739/201741460056*c_1001_2^2 + 11855658808381/151306095042*c_1001_2 + 2724510119993/201741460056, c_0011_0 - 1, c_0011_3 + 3008706011/67247153352*c_1001_2^11 - 4454818775/22415717784*c_1001_2^10 - 14246592613/11207858892*c_1001_2^9 + 60526150003/16811788338*c_1001_2^8 + 143147156753/67247153352*c_1001_2^7 - 673388545781/67247153352*c_1001_2^6 - 75375162527/67247153352*c_1001_2^5 + 416379048809/33623576676*c_1001_2^4 + 69297759899/67247153352*c_1001_2^3 - 162707026763/22415717784*c_1001_2^2 - 58357913623/33623576676*c_1001_2 + 19797349715/22415717784, c_0101_0 - 493927227/7471905928*c_1001_2^11 + 1956933787/7471905928*c_1001_2^10 + 7593860957/3735952964*c_1001_2^9 - 8415901989/1867976482*c_1001_2^8 - 44355319809/7471905928*c_1001_2^7 + 112118334319/7471905928*c_1001_2^6 + 48633420847/7471905928*c_1001_2^5 - 18187077246/933988241*c_1001_2^4 - 47698196605/7471905928*c_1001_2^3 + 74600232141/7471905928*c_1001_2^2 + 5563359102/933988241*c_1001_2 + 1119522413/7471905928, c_0101_1 + 642005599/7471905928*c_1001_2^11 - 2939879763/7471905928*c_1001_2^10 - 8859790557/3735952964*c_1001_2^9 + 13427282769/1867976482*c_1001_2^8 + 19297482589/7471905928*c_1001_2^7 - 140782012375/7471905928*c_1001_2^6 + 17650209061/7471905928*c_1001_2^5 + 38989696291/1867976482*c_1001_2^4 - 18153875179/7471905928*c_1001_2^3 - 86933490369/7471905928*c_1001_2^2 - 781706095/1867976482*c_1001_2 + 11766282507/7471905928, c_0101_2 - 287120339/8405894169*c_1001_2^11 + 1566641309/11207858892*c_1001_2^10 + 2884523309/2801964723*c_1001_2^9 - 41407099577/16811788338*c_1001_2^8 - 44333170429/16811788338*c_1001_2^7 + 278553239207/33623576676*c_1001_2^6 + 15878493122/8405894169*c_1001_2^5 - 353720440183/33623576676*c_1001_2^4 - 68227304243/33623576676*c_1001_2^3 + 37246206991/5603929446*c_1001_2^2 + 84866956121/33623576676*c_1001_2 - 10129186805/11207858892, c_1001_2^12 - 6*c_1001_2^11 - 21*c_1001_2^10 + 122*c_1001_2^9 - 89*c_1001_2^8 - 244*c_1001_2^7 + 296*c_1001_2^6 + 209*c_1001_2^5 - 293*c_1001_2^4 - 150*c_1001_2^3 + 131*c_1001_2^2 + 69*c_1001_2 - 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB