Magma V2.19-8 Tue Aug 20 2013 16:14:34 on localhost [Seed = 2648441234] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s559 geometric_solution 4.99516429 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 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 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.449105317119 0.351729328168 2 0 3 0 0132 2310 0132 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 0 0 0 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 1.170769453993 0.729154155150 1 4 3 5 0132 0132 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.180349898369 0.810903122134 5 2 4 1 1023 1230 1023 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 1 0 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 1.180349898369 0.810903122134 4 2 3 4 3012 0132 1023 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.420326866395 0.447208629362 5 3 2 5 3012 1023 0132 1230 0 0 0 0 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 0 0 0 -1 0 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 0 0 0.946676865909 0.668199900170 ==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_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_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_0011_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_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], '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_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], '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_0011_3'], 'c_0110_4' : d['c_0011_1'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_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_1, c_0011_3, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 2333167019/661987552*c_0101_3^9 + 31305946435/661987552*c_0101_3^8 + 92783266217/330993776*c_0101_3^7 + 165864190743/165496888*c_0101_3^6 + 1649931757099/661987552*c_0101_3^5 + 2915215883895/661987552*c_0101_3^4 + 3227081311465/661987552*c_0101_3^3 + 1577936382569/661987552*c_0101_3^2 - 3102649737/11220128*c_0101_3 - 59780136609/165496888, c_0011_0 - 1, c_0011_1 + 2030716/20687111*c_0101_3^9 + 22541325/20687111*c_0101_3^8 + 107561213/20687111*c_0101_3^7 + 308917914/20687111*c_0101_3^6 + 625508511/20687111*c_0101_3^5 + 804100968/20687111*c_0101_3^4 + 342786999/20687111*c_0101_3^3 - 264085105/20687111*c_0101_3^2 - 1355865/350629*c_0101_3 + 38424837/20687111, c_0011_3 - 3093947/41374222*c_0101_3^9 - 33031889/41374222*c_0101_3^8 - 75029045/20687111*c_0101_3^7 - 203887545/20687111*c_0101_3^6 - 777411107/41374222*c_0101_3^5 - 875039131/41374222*c_0101_3^4 - 84408713/41374222*c_0101_3^3 + 601693133/41374222*c_0101_3^2 + 1193347/701258*c_0101_3 - 34479721/20687111, c_0101_0 - 3700561/82748444*c_0101_3^9 - 39170633/82748444*c_0101_3^8 - 87096349/41374222*c_0101_3^7 - 113274222/20687111*c_0101_3^6 - 802242013/82748444*c_0101_3^5 - 734392821/82748444*c_0101_3^4 + 438394237/82748444*c_0101_3^3 + 1271766393/82748444*c_0101_3^2 + 2987659/1402516*c_0101_3 - 53762690/20687111, c_0101_1 - 371372/20687111*c_0101_3^9 - 3519996/20687111*c_0101_3^8 - 14549700/20687111*c_0101_3^7 - 38877377/20687111*c_0101_3^6 - 77445177/20687111*c_0101_3^5 - 93084393/20687111*c_0101_3^4 - 56644466/20687111*c_0101_3^3 - 42066728/20687111*c_0101_3^2 - 168529/350629*c_0101_3 + 15826467/20687111, c_0101_3^10 + 13*c_0101_3^9 + 74*c_0101_3^8 + 252*c_0101_3^7 + 593*c_0101_3^6 + 969*c_0101_3^5 + 895*c_0101_3^4 + 151*c_0101_3^3 - 317*c_0101_3^2 - 64*c_0101_3 + 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB