Magma V2.19-8 Tue Aug 20 2013 16:17:17 on localhost [Seed = 543276278] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1528 geometric_solution 5.32350086 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 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 -1 1 -1 0 0 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 0.412234230979 0.498448323379 0 3 2 4 0132 0132 1230 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 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 0.602679063049 0.871973330759 3 0 4 1 3201 0132 0132 3012 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 0.602679063049 0.871973330759 3 1 3 2 2310 0132 3201 2310 0 0 0 0 0 0 0 0 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.192532909877 1.157116379003 5 5 1 2 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.098807428513 1.806970687117 4 6 6 4 0132 0132 3201 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 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 -0.298123814409 0.341005402053 5 5 6 6 2310 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.645643613138 0.505007126882 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0110_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], '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_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0110_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 589466005577136/7993702569901*c_0110_2^19 - 5257618727904082/7993702569901*c_0110_2^17 + 1641351369143638/7993702569901*c_0110_2^15 + 44320063112478373/7993702569901*c_0110_2^13 + 6822208661510228/7993702569901*c_0110_2^11 - 92981565587026219/7993702569901*c_0110_2^9 - 186638203776571254/7993702569901*c_0110_2^7 - 273936997119225022/7993702569901*c_0110_2^5 + 84591896301717170/7993702569901*c_0110_2^3 - 5123076264389425/7993702569901*c_0110_2, c_0011_0 - 1, c_0011_4 + 512427437408/170078778083*c_0110_2^19 - 4571362370788/170078778083*c_0110_2^17 + 1433151626118/170078778083*c_0110_2^15 + 38539822837876/170078778083*c_0110_2^13 + 5853451162137/170078778083*c_0110_2^11 - 80968046857382/170078778083*c_0110_2^9 - 162124389502490/170078778083*c_0110_2^7 - 237496783206175/170078778083*c_0110_2^5 + 74733409775496/170078778083*c_0110_2^3 - 3608035844099/170078778083*c_0110_2, c_0101_0 + 1650510852720/7993702569901*c_0110_2^18 - 14602358012310/7993702569901*c_0110_2^16 + 3509458497726/7993702569901*c_0110_2^14 + 124575047820747/7993702569901*c_0110_2^12 + 28381500099754/7993702569901*c_0110_2^10 - 259425122799001/7993702569901*c_0110_2^8 - 544193892327306/7993702569901*c_0110_2^6 - 808810653540436/7993702569901*c_0110_2^4 + 181899544416904/7993702569901*c_0110_2^2 - 515553882969/7993702569901, c_0101_1 - 870025192910/7993702569901*c_0110_2^18 + 7737339392118/7993702569901*c_0110_2^16 - 2207426083767/7993702569901*c_0110_2^14 - 65525083077958/7993702569901*c_0110_2^12 - 12268667469758/7993702569901*c_0110_2^10 + 137812934060153/7993702569901*c_0110_2^8 + 282474798574546/7993702569901*c_0110_2^6 + 411206898714320/7993702569901*c_0110_2^4 - 117258608835517/7993702569901*c_0110_2^2 + 1176855259728/7993702569901, c_0101_2 - 242509840/1083304319*c_0110_2^19 + 2191257414/1083304319*c_0110_2^17 - 926653882/1083304319*c_0110_2^15 - 18150735979/1083304319*c_0110_2^13 - 739502328/1083304319*c_0110_2^11 + 38541079589/1083304319*c_0110_2^9 + 72599684580/1083304319*c_0110_2^7 + 104230760765/1083304319*c_0110_2^5 - 47368137963/1083304319*c_0110_2^3 + 6433622167/1083304319*c_0110_2, c_0101_6 + 5371685429034/7993702569901*c_0110_2^18 - 47970896975186/7993702569901*c_0110_2^16 + 15408660206725/7993702569901*c_0110_2^14 + 404257216645844/7993702569901*c_0110_2^12 + 58364107944642/7993702569901*c_0110_2^10 - 851801089218044/7993702569901*c_0110_2^8 - 1695515111627035/7993702569901*c_0110_2^6 - 2479377140943960/7993702569901*c_0110_2^4 + 802579206601136/7993702569901*c_0110_2^2 - 37379941573782/7993702569901, c_0110_2^20 - 9*c_0110_2^18 + 7/2*c_0110_2^16 + 75*c_0110_2^14 + 11/2*c_0110_2^12 - 159*c_0110_2^10 - 304*c_0110_2^8 - 877/2*c_0110_2^6 + 365/2*c_0110_2^4 - 18*c_0110_2^2 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB