Magma V2.19-8 Wed Aug 21 2013 01:13:50 on localhost [Seed = 1781298381] Type ? for help. Type -D to quit. Loading file "L14n669__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n669 geometric_solution 12.38798144 oriented_manifold CS_known -0.0000000000000007 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 0 -1 1 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 -1 -9 10 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 0.774108359984 1.078649895890 0 5 7 6 0132 0132 0132 0132 1 1 1 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 -10 10 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.318225001028 0.701090116731 8 0 7 6 0132 0132 3012 2031 1 1 1 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 1 -1 0 1 0 0 -1 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.487962914685 0.847872842081 5 9 8 0 2310 0132 0321 0132 1 1 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 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442562106960 0.721568165478 10 11 0 9 0132 0132 0132 0132 1 1 1 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 0 -10 10 9 0 0 -9 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.114295583515 0.761665909679 11 1 3 10 0321 0132 3201 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592043686753 0.646575196214 11 2 1 9 2103 1302 0132 3120 1 1 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 0 0 0 0 0 0 0 0 1 0 -1 10 0 -10 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 0.524444645680 0.673284752557 12 2 10 1 0132 1230 3120 0132 1 1 0 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 0 0 0 0 0 0 0 -10 0 0 10 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.219624322625 1.017557661071 2 12 3 10 0132 1230 0321 1023 1 1 0 1 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 0 9 -9 -1 0 0 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 0.423869241398 0.763398205994 6 3 4 12 3120 0132 0132 1023 1 1 1 1 0 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 -10 10 0 0 9 -9 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.539403579578 0.558779439129 4 5 7 8 0132 0321 3120 1023 1 1 0 1 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 0 1 -1 -9 0 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.202331422910 1.190082033291 5 4 6 12 0321 0132 2103 2031 1 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 0 0 0 0 0 0 0 0 0 0 0 0 -10 10 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.679912943390 1.029029955740 7 11 8 9 0132 1302 3012 1023 1 1 1 0 0 -1 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 0 0 0 0 -10 1 9 10 0 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.805366170393 1.093522912739 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_6'], 'c_1001_10' : negation(d['c_0011_3']), 'c_1001_12' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0011_12'], 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_0101_7'], 'c_1001_2' : d['c_0011_12'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : d['c_0110_6'], 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : d['c_0101_2'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_0'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : 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_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_8'], 'c_1100_8' : d['c_0101_7'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_1001_8'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : d['c_1001_8'], 'c_1100_3' : d['c_1001_8'], 'c_1100_2' : negation(d['c_0011_3']), 's_0_10' : negation(d['1']), 'c_1100_11' : negation(d['c_0110_6']), 'c_1100_10' : negation(d['c_0101_7']), 's_3_10' : negation(d['1']), 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_0011_12'], 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : d['c_0101_1'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_1001_8']), 's_1_7' : 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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0101_1'], 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0101_3']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_6'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0101_7, c_0110_6, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 81774470080/133560921*c_1001_8^7 - 24903624672/44520307*c_1001_8^6 + 1581327976/10273917*c_1001_8^5 - 33438993880/133560921*c_1001_8^4 - 74167232980/133560921*c_1001_8^3 - 21098750224/133560921*c_1001_8^2 - 13518042688/44520307*c_1001_8 - 13064470564/44520307, c_0011_0 - 1, c_0011_10 + 22384960/10273917*c_1001_8^7 + 23765492/10273917*c_1001_8^6 - 18413746/10273917*c_1001_8^5 + 2222843/6849278*c_1001_8^4 + 51078233/20547834*c_1001_8^3 - 1745179/6849278*c_1001_8^2 + 1736301/6849278*c_1001_8 + 27944419/20547834, c_0011_12 + 228220/38193*c_1001_8^7 + 237874/38193*c_1001_8^6 - 157237/76386*c_1001_8^5 + 223255/76386*c_1001_8^4 + 215198/38193*c_1001_8^3 + 110795/76386*c_1001_8^2 + 172337/38193*c_1001_8 + 72091/25462, c_0011_3 + 82675840/10273917*c_1001_8^7 + 19881456/3424639*c_1001_8^6 - 20374168/3424639*c_1001_8^5 + 34186906/10273917*c_1001_8^4 + 27401908/3424639*c_1001_8^3 + 3359381/10273917*c_1001_8^2 + 26886220/10273917*c_1001_8 + 23710312/10273917, c_0011_6 - 12454640/10273917*c_1001_8^7 - 21412888/10273917*c_1001_8^6 + 11956802/10273917*c_1001_8^5 + 2381168/3424639*c_1001_8^4 - 23628428/10273917*c_1001_8^3 - 2492069/3424639*c_1001_8^2 - 1715102/3424639*c_1001_8 - 3328987/10273917, c_0101_0 - 1, c_0101_1 + 169386580/10273917*c_1001_8^7 + 59927722/3424639*c_1001_8^6 - 44016477/6849278*c_1001_8^5 + 153738671/20547834*c_1001_8^4 + 109914209/6849278*c_1001_8^3 + 60314263/20547834*c_1001_8^2 + 195671819/20547834*c_1001_8 + 79794064/10273917, c_0101_10 + 61889200/10273917*c_1001_8^7 + 16826800/3424639*c_1001_8^6 - 6570506/3424639*c_1001_8^5 + 40240147/10273917*c_1001_8^4 + 15012250/3424639*c_1001_8^3 + 16385558/10273917*c_1001_8^2 + 41448028/10273917*c_1001_8 + 19011781/10273917, c_0101_2 + 1688280/118091*c_1001_8^7 + 1553236/118091*c_1001_8^6 - 704337/118091*c_1001_8^5 + 756123/118091*c_1001_8^4 + 1555193/118091*c_1001_8^3 + 195360/118091*c_1001_8^2 + 840324/118091*c_1001_8 + 713536/118091, c_0101_3 + 18813760/3424639*c_1001_8^7 + 81634256/10273917*c_1001_8^6 - 2966368/10273917*c_1001_8^5 - 5013322/10273917*c_1001_8^4 + 59226298/10273917*c_1001_8^3 + 30342112/10273917*c_1001_8^2 + 31034438/10273917*c_1001_8 + 32267110/10273917, c_0101_7 + 94204480/10273917*c_1001_8^7 + 25532832/3424639*c_1001_8^6 - 14860736/3424639*c_1001_8^5 + 54052180/10273917*c_1001_8^4 + 24162185/3424639*c_1001_8^3 + 3673814/10273917*c_1001_8^2 + 51785542/10273917*c_1001_8 + 33353296/10273917, c_0110_6 + 90109840/10273917*c_1001_8^7 + 91297528/10273917*c_1001_8^6 - 21194702/10273917*c_1001_8^5 + 37733486/10273917*c_1001_8^4 + 74649899/10273917*c_1001_8^3 + 31556614/10273917*c_1001_8^2 + 56965247/10273917*c_1001_8 + 11715112/3424639, c_1001_8^8 + 17/10*c_1001_8^7 + 13/40*c_1001_8^6 + 1/5*c_1001_8^5 + 51/40*c_1001_8^4 + 17/20*c_1001_8^3 + 7/10*c_1001_8^2 + 17/20*c_1001_8 + 13/40 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.410 Total time: 0.620 seconds, Total memory usage: 32.09MB