Magma V2.19-8 Tue Aug 20 2013 16:14:11 on localhost [Seed = 913811984] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s143 geometric_solution 4.20398369 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 -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 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 0.661033026600 0.204306020064 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 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 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 0.958091107513 0.222482417138 1 3 3 4 0132 0213 3012 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.720952518760 0.510255853009 4 2 2 1 0132 1230 0213 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 1 0 0 -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 0.720952518760 0.510255853009 3 5 2 5 0132 0132 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 -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 1.775835325340 1.750826699266 4 4 5 5 3201 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.396594731526 0.262162709276 ==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' : 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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : d['c_0011_3'], '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_0011_1'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_1']), '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' : negation(d['c_0011_3']), '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' : negation(d['c_0110_5']), 'c_1001_4' : negation(d['c_0011_1']), '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_0110_5'], 'c_0110_4' : negation(d['c_0011_1']), 'c_1010_5' : negation(d['c_0011_1']), 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_1']), '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_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 1339144980068245999/325299833136467450*c_0110_5^12 + 2253975951970406981/162649916568233725*c_0110_5^11 - 13255939819034168917/162649916568233725*c_0110_5^10 - 131780147296534926199/325299833136467450*c_0110_5^9 - 52975691007913849211/325299833136467450*c_0110_5^8 + 603501311375217757779/325299833136467450*c_0110_5^7 + 494268653505040356286/162649916568233725*c_0110_5^6 - 333805865321137157901/325299833136467450*c_0110_5^5 - 265163988601649527612/162649916568233725*c_0110_5^4 + 358574365869559431513/325299833136467450*c_0110_5^3 + 21264483488275233356/162649916568233725*c_0110_5^2 - 92817824048986539541/325299833136467450*c_0110_5 + 3343733270863184141/162649916568233725, c_0011_0 - 1, c_0011_1 + 86495727330054/6505996662729349*c_0110_5^12 + 363381682756242/6505996662729349*c_0110_5^11 - 1439335551874095/6505996662729349*c_0110_5^10 - 9804609055430359/6505996662729349*c_0110_5^9 - 11011513797528562/6505996662729349*c_0110_5^8 + 32468918285535042/6505996662729349*c_0110_5^7 + 91967867006431072/6505996662729349*c_0110_5^6 + 43983428265437439/6505996662729349*c_0110_5^5 - 16260118556824312/6505996662729349*c_0110_5^4 + 11127116389092197/6505996662729349*c_0110_5^3 + 9616276434454812/6505996662729349*c_0110_5^2 - 422486131423444/6505996662729349*c_0110_5 - 1780584637381368/6505996662729349, c_0011_3 + 112210231229558/6505996662729349*c_0110_5^12 + 277198559911041/6505996662729349*c_0110_5^11 - 2557722764393170/6505996662729349*c_0110_5^10 - 9052424447480621/6505996662729349*c_0110_5^9 + 5380072328835240/6505996662729349*c_0110_5^8 + 54445175140308433/6505996662729349*c_0110_5^7 + 38259919474527679/6505996662729349*c_0110_5^6 - 99907656286906586/6505996662729349*c_0110_5^5 - 19570104115161642/6505996662729349*c_0110_5^4 + 60515378381521421/6505996662729349*c_0110_5^3 - 31839518639277739/6505996662729349*c_0110_5^2 - 9084092813025150/6505996662729349*c_0110_5 + 4809458447655533/6505996662729349, c_0101_0 + 93327645110306/6505996662729349*c_0110_5^12 + 403556680192714/6505996662729349*c_0110_5^11 - 1594982874432140/6505996662729349*c_0110_5^10 - 11132698355186892/6505996662729349*c_0110_5^9 - 11614393719211478/6505996662729349*c_0110_5^8 + 43501794203678739/6505996662729349*c_0110_5^7 + 113191814587393000/6505996662729349*c_0110_5^6 + 24295372854944220/6505996662729349*c_0110_5^5 - 100654368280406887/6505996662729349*c_0110_5^4 - 20774832094363327/6505996662729349*c_0110_5^3 + 29772935806902427/6505996662729349*c_0110_5^2 - 10998221906167761/6505996662729349*c_0110_5 - 4374852788875612/6505996662729349, c_0101_1 - 148080861770232/6505996662729349*c_0110_5^12 - 434705235191446/6505996662729349*c_0110_5^11 + 3153964564394167/6505996662729349*c_0110_5^10 + 13345191827268860/6505996662729349*c_0110_5^9 - 519489622119080/6505996662729349*c_0110_5^8 - 70196632388441007/6505996662729349*c_0110_5^7 - 82207699106552091/6505996662729349*c_0110_5^6 + 86377822793576522/6505996662729349*c_0110_5^5 + 54315933782896825/6505996662729349*c_0110_5^4 - 55695718057916971/6505996662729349*c_0110_5^3 + 4480651234237801/6505996662729349*c_0110_5^2 + 11329740927198360/6505996662729349*c_0110_5 + 1828347032245480/6505996662729349, c_0110_5^13 + 3*c_0110_5^12 - 21*c_0110_5^11 - 91*c_0110_5^10 - 4*c_0110_5^9 + 461*c_0110_5^8 + 568*c_0110_5^7 - 504*c_0110_5^6 - 261*c_0110_5^5 + 422*c_0110_5^4 - 107*c_0110_5^3 - 64*c_0110_5^2 + 33*c_0110_5 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB