Magma V2.19-8 Tue Aug 20 2013 16:17:03 on localhost [Seed = 3852761399] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1295 geometric_solution 5.18692129 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 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 -1.543542309151 0.765434620563 0 0 3 2 0132 3201 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 -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 0.723885975134 0.526028512783 3 4 1 5 1230 0132 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 -1 1 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 0.999542489452 0.407363208317 4 2 6 1 3201 3012 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 0 0 -1 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 0.999542489452 0.407363208317 5 2 6 3 0213 0132 0213 2310 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 -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 0.839230796037 0.945662844207 4 6 2 6 0213 0213 0132 3120 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 0 0 -1 1 0 0 0 0 1 1 0 -2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.614387792856 0.341439098866 5 4 5 3 3120 0213 0213 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 -1 1 2 -1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.614387792856 0.341439098866 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0011_2']), 'c_0101_4' : d['c_0011_5'], '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_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_5'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_6' : d['c_1001_4'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_2']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0011_2']), '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_0011_2']), 'c_1010_5' : negation(d['c_0011_5']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_1001_4'], 'c_1010_1' : negation(d['c_0101_1']), '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_2, c_0011_5, c_0101_0, c_0101_1, c_0101_3, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 90220981287317/4978957548376*c_1001_4^14 - 53059285819625/1244739387094*c_1001_4^13 + 785100129280227/2489478774188*c_1001_4^12 + 1580054184210645/2489478774188*c_1001_4^11 - 19726165166287589/4978957548376*c_1001_4^10 + 237430153458467/177819912442*c_1001_4^9 + 30029182022785929/2489478774188*c_1001_4^8 - 25052148007715665/2489478774188*c_1001_4^7 - 16793974227082133/1244739387094*c_1001_4^6 + 79031522834516215/4978957548376*c_1001_4^5 + 29093661742446477/4978957548376*c_1001_4^4 - 47448472424030907/4978957548376*c_1001_4^3 - 860384093145309/711279649768*c_1001_4^2 + 1621702107195532/622369693547*c_1001_4 + 1515459503206647/2489478774188, c_0011_0 - 1, c_0011_2 + 776894898905/711279649768*c_1001_4^14 - 537174807189/88909956221*c_1001_4^13 + 26413570080475/711279649768*c_1001_4^12 - 26172839828755/355639824884*c_1001_4^11 - 30510961630699/711279649768*c_1001_4^10 + 26459913127674/88909956221*c_1001_4^9 - 137487270626641/711279649768*c_1001_4^8 - 25825417566146/88909956221*c_1001_4^7 + 64189978996219/177819912442*c_1001_4^6 + 28464113742201/711279649768*c_1001_4^5 - 121075369010131/711279649768*c_1001_4^4 + 1069152932167/88909956221*c_1001_4^3 + 12701846870435/355639824884*c_1001_4^2 + 3361890959357/711279649768*c_1001_4 - 1185946503231/711279649768, c_0011_5 + 497876669049/711279649768*c_1001_4^14 - 1390936068499/355639824884*c_1001_4^13 + 17079673039297/711279649768*c_1001_4^12 - 17258902725939/355639824884*c_1001_4^11 - 17580722128871/711279649768*c_1001_4^10 + 67921735228455/355639824884*c_1001_4^9 - 94235562354255/711279649768*c_1001_4^8 - 31528691253065/177819912442*c_1001_4^7 + 20916844961782/88909956221*c_1001_4^6 + 8971194314845/711279649768*c_1001_4^5 - 74574355167869/711279649768*c_1001_4^4 + 2373560171075/177819912442*c_1001_4^3 + 7010676394401/355639824884*c_1001_4^2 + 1401031516629/711279649768*c_1001_4 - 599712964645/711279649768, c_0101_0 + 55860553855/711279649768*c_1001_4^14 - 55429513603/177819912442*c_1001_4^13 + 1437554754897/711279649768*c_1001_4^12 - 430196711057/355639824884*c_1001_4^11 - 7630983574717/711279649768*c_1001_4^10 + 3022333821619/177819912442*c_1001_4^9 + 10009657606237/711279649768*c_1001_4^8 - 3401632958406/88909956221*c_1001_4^7 + 1024986326139/177819912442*c_1001_4^6 + 19616707287871/711279649768*c_1001_4^5 - 10326600723001/711279649768*c_1001_4^4 - 237507779798/88909956221*c_1001_4^3 + 584576437969/355639824884*c_1001_4^2 + 466664899243/711279649768*c_1001_4 + 391155775435/711279649768, c_0101_1 - 990892789825/711279649768*c_1001_4^14 + 2773518126331/355639824884*c_1001_4^13 - 33997337653533/711279649768*c_1001_4^12 + 34372803055231/355639824884*c_1001_4^11 + 36155664992239/711279649768*c_1001_4^10 - 137410742705147/355639824884*c_1001_4^9 + 189048278518907/711279649768*c_1001_4^8 + 65841376489611/177819912442*c_1001_4^7 - 43224387648491/88909956221*c_1001_4^6 - 27714624009669/711279649768*c_1001_4^5 + 164024431334045/711279649768*c_1001_4^4 - 2255138357569/88909956221*c_1001_4^3 - 16982909506463/355639824884*c_1001_4^2 - 2875309173193/711279649768*c_1001_4 + 1289899866097/711279649768, c_0101_3 - c_1001_4, c_1001_4^15 - 5*c_1001_4^14 + 31*c_1001_4^13 - 49*c_1001_4^12 - 77*c_1001_4^11 + 255*c_1001_4^10 - 29*c_1001_4^9 - 375*c_1001_4^8 + 196*c_1001_4^7 + 229*c_1001_4^6 - 152*c_1001_4^5 - 77*c_1001_4^4 + 46*c_1001_4^3 + 23*c_1001_4^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB