Magma V2.19-8 Tue Aug 20 2013 16:18:09 on localhost [Seed = 3718004967] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2361 geometric_solution 5.73210479 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 2031 0132 0132 0 0 0 0 0 -1 0 1 1 0 -1 0 1 -1 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 0.756191857219 0.330119411993 3 2 4 0 0132 3012 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.751691086542 0.259702718509 1 3 0 5 1230 3201 0132 0132 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 -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 1.212621272409 0.654850786691 1 6 2 5 0132 0132 2310 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 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.640245610648 1.045623248560 6 5 6 1 0321 3120 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 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 1.161456062737 0.921948614944 3 4 2 6 3201 3120 0132 3012 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 -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 0.640245610648 1.045623248560 4 3 5 4 0321 0132 1230 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 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 1.248376344229 0.703111420409 ==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' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0110_5'], 'c_1100_5' : d['c_0110_5'], 'c_1100_4' : d['c_0110_5'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0110_5'], 'c_1100_0' : d['c_0110_5'], 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : d['c_0110_5'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_1']), 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_1001_3']), 'c_1001_4' : d['c_1001_3'], 'c_1001_6' : negation(d['c_0110_5']), 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : negation(d['c_0011_1']), 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_1']), 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_1001_3']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_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_1, c_0011_2, c_0011_4, c_0101_2, c_0110_5, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 17842775589085693/14644514398461844*c_1001_3^11 - 97179981309795053/43933543195385532*c_1001_3^10 + 886219419100471655/43933543195385532*c_1001_3^9 + 2433667442524343791/43933543195385532*c_1001_3^8 - 12299350565611660547/43933543195385532*c_1001_3^7 + 2723587410229149097/10983385798846383*c_1001_3^6 + 497849263800519129/14644514398461844*c_1001_3^5 + 13150430754552899/844875830680491*c_1001_3^4 - 4512073615462175153/14644514398461844*c_1001_3^3 - 215867345940665811/3661128599615461*c_1001_3^2 - 108454077756883057/10983385798846383*c_1001_3 + 2305475804627492611/43933543195385532, c_0011_0 - 1, c_0011_1 - 1252117543897/33132385516882*c_1001_3^11 - 1680418105801/33132385516882*c_1001_3^10 + 21602299321533/33132385516882*c_1001_3^9 + 45692023895369/33132385516882*c_1001_3^8 - 314510666885885/33132385516882*c_1001_3^7 + 205587320335674/16566192758441*c_1001_3^6 - 80735592900311/33132385516882*c_1001_3^5 - 58310626866289/16566192758441*c_1001_3^4 - 164672989675269/33132385516882*c_1001_3^3 + 25420479016364/16566192758441*c_1001_3^2 + 8528491079301/16566192758441*c_1001_3 - 8296376866477/33132385516882, c_0011_2 - 546074539007/16566192758441*c_1001_3^11 - 839043466838/16566192758441*c_1001_3^10 + 9197724542493/16566192758441*c_1001_3^9 + 22153192962180/16566192758441*c_1001_3^8 - 129907372567835/16566192758441*c_1001_3^7 + 152181852247577/16566192758441*c_1001_3^6 - 48300523662839/16566192758441*c_1001_3^5 + 20044579093379/16566192758441*c_1001_3^4 - 118269920655966/16566192758441*c_1001_3^3 - 3920931862122/16566192758441*c_1001_3^2 - 39143685179201/16566192758441*c_1001_3 + 954672006439/16566192758441, c_0011_4 + 127246572682/16566192758441*c_1001_3^11 - 95409825120/16566192758441*c_1001_3^10 - 2514122924006/16566192758441*c_1001_3^9 - 5604940714/16566192758441*c_1001_3^8 + 41364612671428/16566192758441*c_1001_3^7 - 108434334968844/16566192758441*c_1001_3^6 + 103423701126789/16566192758441*c_1001_3^5 - 39543317990185/16566192758441*c_1001_3^4 + 27421486155296/16566192758441*c_1001_3^3 - 55282107128614/16566192758441*c_1001_3^2 + 8258664646311/16566192758441*c_1001_3 - 7333246918102/16566192758441, c_0101_2 + 481009790663/33132385516882*c_1001_3^11 + 1835937655639/33132385516882*c_1001_3^10 - 6984905114557/33132385516882*c_1001_3^9 - 38958555630129/33132385516882*c_1001_3^8 + 80111750920559/33132385516882*c_1001_3^7 + 77197370705285/16566192758441*c_1001_3^6 - 399670336433859/33132385516882*c_1001_3^5 + 88430100659849/16566192758441*c_1001_3^4 + 124635522339385/33132385516882*c_1001_3^3 + 81091102128313/16566192758441*c_1001_3^2 - 24439846333826/16566192758441*c_1001_3 - 1180567987177/33132385516882, c_0110_5 - 665638178767/33132385516882*c_1001_3^11 - 769696653035/33132385516882*c_1001_3^10 + 11503225577291/33132385516882*c_1001_3^9 + 22180161597437/33132385516882*c_1001_3^8 - 168189334639991/33132385516882*c_1001_3^7 + 126867885316328/16566192758441*c_1001_3^6 - 134852318151339/33132385516882*c_1001_3^5 + 3967711599420/16566192758441*c_1001_3^4 - 74956169237835/33132385516882*c_1001_3^3 + 12574080777944/16566192758441*c_1001_3^2 - 14438231892542/16566192758441*c_1001_3 - 4419856376263/33132385516882, c_1001_3^12 + 2*c_1001_3^11 - 16*c_1001_3^10 - 48*c_1001_3^9 + 218*c_1001_3^8 - 173*c_1001_3^7 - 21*c_1001_3^6 - 39*c_1001_3^5 + 233*c_1001_3^4 + 83*c_1001_3^3 + 64*c_1001_3^2 - c_1001_3 + 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB