Magma V2.19-8 Tue Aug 20 2013 16:17:30 on localhost [Seed = 2665415239] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1742 geometric_solution 5.44017739 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.221772504486 0.265414993007 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 -1 0 1 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 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 0.924378867410 1.953251481470 1 4 3 5 0132 0132 0213 0132 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 0 0 0 0 0 1 -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 0.355977998304 0.423994429138 5 2 4 1 0132 0213 3201 0132 0 0 0 0 0 0 0 0 0 0 1 -1 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.355977998304 0.423994429138 3 2 6 6 2310 0132 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.331145277766 1.992801244610 3 5 2 5 0132 2310 0132 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 1 0 -1 0 0 1 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.808994364824 0.973819954137 6 4 4 6 3201 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.536732339384 0.454902982865 ==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_6'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(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' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0011_3'])})} 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_1, c_0011_3, c_0011_6, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 19272940415131/9574923079920*c_0101_4^14 - 7949372096767/4787461539960*c_0101_4^13 - 1258470956183/638328205328*c_0101_4^12 - 8909886640288/598432692495*c_0101_4^11 - 35863258344501/1595820513320*c_0101_4^10 - 10765512905681/9574923079920*c_0101_4^9 + 637979662138583/9574923079920*c_0101_4^8 + 83753282694569/435223776360*c_0101_4^7 + 85583526312417/1595820513320*c_0101_4^6 + 34148892369209/2393730769980*c_0101_4^5 + 90234213653017/638328205328*c_0101_4^4 + 29569176207211/2393730769980*c_0101_4^3 + 91821516844923/3191641026640*c_0101_4^2 + 176320080103361/9574923079920*c_0101_4 - 14041109805485/1914984615984, c_0011_0 - 1, c_0011_1 + 12933070011/58029836848*c_0101_4^14 - 4082469745/29014918424*c_0101_4^13 - 18632057793/58029836848*c_0101_4^12 - 11623363777/7253729606*c_0101_4^11 - 81897028803/29014918424*c_0101_4^10 - 3172530529/58029836848*c_0101_4^9 + 452904066299/58029836848*c_0101_4^8 + 664420448473/29014918424*c_0101_4^7 + 231107829273/29014918424*c_0101_4^6 - 17639128583/7253729606*c_0101_4^5 + 897709833539/58029836848*c_0101_4^4 + 17559479819/14507459212*c_0101_4^3 - 1121063651/58029836848*c_0101_4^2 + 168527721061/58029836848*c_0101_4 - 96739833713/58029836848, c_0011_3 + 15831116957/58029836848*c_0101_4^14 - 7863376527/29014918424*c_0101_4^13 - 15309290435/58029836848*c_0101_4^12 - 6996474581/3626864803*c_0101_4^11 - 79156685841/29014918424*c_0101_4^10 + 41518461329/58029836848*c_0101_4^9 + 534944662509/58029836848*c_0101_4^8 + 722041668493/29014918424*c_0101_4^7 + 42334619441/29014918424*c_0101_4^6 - 28715425933/14507459212*c_0101_4^5 + 1021949924769/58029836848*c_0101_4^4 - 23198369039/7253729606*c_0101_4^3 + 193462272395/58029836848*c_0101_4^2 - 35122781353/58029836848*c_0101_4 - 86159385627/58029836848, c_0011_6 + 4196431129/29014918424*c_0101_4^14 - 1597151531/29014918424*c_0101_4^13 - 1709085173/7253729606*c_0101_4^12 - 3947371006/3626864803*c_0101_4^11 - 30146040833/14507459212*c_0101_4^10 - 14281758321/29014918424*c_0101_4^9 + 74465645599/14507459212*c_0101_4^8 + 58127226529/3626864803*c_0101_4^7 + 128093553685/14507459212*c_0101_4^6 - 9772060411/14507459212*c_0101_4^5 + 289108565643/29014918424*c_0101_4^4 + 110116284089/29014918424*c_0101_4^3 - 14805373973/14507459212*c_0101_4^2 + 65470892569/29014918424*c_0101_4 - 10469255897/7253729606, c_0101_1 - 10889178147/58029836848*c_0101_4^14 + 2774381955/14507459212*c_0101_4^13 + 8918079451/58029836848*c_0101_4^12 + 4763088251/3626864803*c_0101_4^11 + 55664540839/29014918424*c_0101_4^10 - 21937878115/58029836848*c_0101_4^9 - 340980097637/58029836848*c_0101_4^8 - 490445473823/29014918424*c_0101_4^7 - 46197822221/29014918424*c_0101_4^6 - 24975923097/14507459212*c_0101_4^5 - 822509564863/58029836848*c_0101_4^4 + 126847276489/29014918424*c_0101_4^3 - 164230248515/58029836848*c_0101_4^2 - 64674961297/58029836848*c_0101_4 + 48726506547/58029836848, c_0101_3 - 2369490133/58029836848*c_0101_4^14 + 469191943/29014918424*c_0101_4^13 + 5301901071/58029836848*c_0101_4^12 + 1066313048/3626864803*c_0101_4^11 + 15696405753/29014918424*c_0101_4^10 - 2733184809/58029836848*c_0101_4^9 - 105640332637/58029836848*c_0101_4^8 - 129757478579/29014918424*c_0101_4^7 - 46408463391/29014918424*c_0101_4^6 + 11062665310/3626864803*c_0101_4^5 - 102507999357/58029836848*c_0101_4^4 - 20311239579/14507459212*c_0101_4^3 + 88625137613/58029836848*c_0101_4^2 - 68400654235/58029836848*c_0101_4 + 78437616727/58029836848, c_0101_4^15 - c_0101_4^14 - c_0101_4^13 - 7*c_0101_4^12 - 10*c_0101_4^11 + 3*c_0101_4^10 + 34*c_0101_4^9 + 91*c_0101_4^8 + 4*c_0101_4^7 - 10*c_0101_4^6 + 65*c_0101_4^5 - 15*c_0101_4^4 + 11*c_0101_4^3 + 2*c_0101_4^2 - 8*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB