Magma V2.19-8 Wed Aug 21 2013 01:01:27 on localhost [Seed = 3751396374] Type ? for help. Type -D to quit. Loading file "L14n1174__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n1174 geometric_solution 12.49616960 oriented_manifold CS_known -0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 0 0 0 2 0 -2 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 1 0 -1 0 7 0 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000000000 1.000000000000 0 5 7 6 0132 0132 0132 0132 1 0 1 1 0 0 0 0 -2 0 2 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 -1 0 1 0 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.341408676747 0.658591323253 7 0 9 8 0132 0132 0132 0132 1 0 1 1 0 0 0 0 -2 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 0 0 0 -1 0 0 1 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.500000000000 10 7 8 0 0132 0132 0132 0132 1 0 1 1 0 0 0 0 -1 0 -1 2 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 0 1 0 0 -1 1 1 -1 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.658591323253 0.658591323253 11 9 0 6 0132 0132 0132 2103 1 0 1 1 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 -1 1 0 0 0 0 1 -1 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.500000000000 10 1 11 8 1023 0132 3012 0321 1 1 1 1 0 0 0 0 0 0 0 0 1 -1 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 7 -7 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.664425044496 0.942013507992 10 12 1 4 2103 0132 0132 2103 1 0 1 1 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 1 0 -1 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.379598077249 1.196780723756 2 3 11 1 0132 0132 3120 0132 1 0 1 1 0 0 0 0 2 0 0 -2 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 1 -1 0 1 0 0 -1 6 -6 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.620401922751 1.196780723756 12 5 2 3 2103 0321 0132 0132 1 0 1 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 -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 0.759196154498 0.759196154498 12 4 10 2 3120 0132 0132 0132 1 0 1 1 0 0 0 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 0 0 0 0 0 0 0 0 6 0 0 -6 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000000000 1.000000000000 3 5 6 9 0132 1023 2103 0132 1 0 1 1 0 0 0 0 1 0 0 -1 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 0 0 0 0 0 0 0 6 -7 0 1 -1 7 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.658591323253 0.658591323253 4 5 7 12 0132 1230 3120 3120 1 0 1 1 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 1 -1 0 0 0 0 7 -7 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.620401922751 1.196780723756 11 6 8 9 3120 0132 2103 3120 1 0 1 1 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 0 6 0 -6 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.379598077249 1.196780723756 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_1001_0']), 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : d['c_0011_8'], 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_8']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : negation(d['c_0011_8']), 's_3_11' : negation(d['1']), 's_0_11' : negation(d['1']), 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : negation(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' : negation(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' : 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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0110_6']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : negation(d['c_0110_6']), 'c_1100_7' : negation(d['c_0101_11']), 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : negation(d['c_0110_6']), 'c_1100_3' : negation(d['c_0110_6']), 'c_1100_2' : negation(d['c_0110_6']), 's_0_10' : negation(d['1']), 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : negation(d['c_0110_6']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0011_8'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_8']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_11']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_1'], 's_3_1' : negation(d['1']), 's_3_0' : negation(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_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_3']), 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_11'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_1'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_12'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_12']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_3'], 'c_0101_8' : d['c_0101_12'], 'c_0011_10' : d['c_0011_0'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0110_6']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_12'], 'c_0110_5' : negation(d['c_0011_8']), 'c_0110_4' : d['c_0101_11'], '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_11, c_0011_12, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_3, c_0110_6, c_1001_0, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 1/72*c_1001_2^5 - 11/24*c_1001_2^4 - 49/288*c_1001_2^3 - 389/72*c_1001_2^2 + 265/72*c_1001_2 - 58/9, c_0011_0 - 1, c_0011_11 + 1/72*c_1001_2^5 + 1/24*c_1001_2^4 + 1/9*c_1001_2^3 - 1/36*c_1001_2^2 - 4/9*c_1001_2 - 4/9, c_0011_12 + 1/24*c_1001_2^5 + 1/8*c_1001_2^4 + 7/12*c_1001_2^3 + 11/12*c_1001_2^2 + 1/6*c_1001_2 + 2/3, c_0011_8 - 1/72*c_1001_2^5 - 1/24*c_1001_2^4 - 1/9*c_1001_2^3 + 1/36*c_1001_2^2 + 4/9*c_1001_2 + 4/9, c_0101_0 - 1, c_0101_1 - 5/144*c_1001_2^5 - 1/24*c_1001_2^4 - 29/72*c_1001_2^3 - 1/18*c_1001_2^2 + 1/9*c_1001_2 + 1/9, c_0101_11 + 1/36*c_1001_2^5 + 1/12*c_1001_2^4 + 17/36*c_1001_2^3 + 4/9*c_1001_2^2 + 11/18*c_1001_2 + 1/9, c_0101_12 + 1/144*c_1001_2^5 + 1/12*c_1001_2^4 + 13/72*c_1001_2^3 + 31/36*c_1001_2^2 + 5/18*c_1001_2 + 7/9, c_0101_3 - 1/72*c_1001_2^5 - 1/24*c_1001_2^4 - 1/9*c_1001_2^3 + 1/36*c_1001_2^2 + 4/9*c_1001_2 + 4/9, c_0110_6 - 5/144*c_1001_2^5 - 1/24*c_1001_2^4 - 29/72*c_1001_2^3 - 1/18*c_1001_2^2 - 8/9*c_1001_2 + 1/9, c_1001_0 + 1, c_1001_1 - 7/144*c_1001_2^5 - 1/12*c_1001_2^4 - 37/72*c_1001_2^3 - 1/36*c_1001_2^2 - 4/9*c_1001_2 + 5/9, c_1001_2^6 + 2*c_1001_2^5 + 14*c_1001_2^4 + 8*c_1001_2^3 + 24*c_1001_2^2 + 32 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_12, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_3, c_0110_6, c_1001_0, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 28781221/6516224*c_1001_2^7 + 171392625/47242624*c_1001_2^6 + 347653923/47242624*c_1001_2^5 - 69218951/11810656*c_1001_2^4 - 13967029/908512*c_1001_2^3 - 60116047/2952664*c_1001_2^2 + 6916539/738166*c_1001_2 + 11771972/369083, c_0011_0 - 1, c_0011_11 - 26071/407264*c_1001_2^7 + 37671/814528*c_1001_2^6 - 9645/101816*c_1001_2^5 + 24051/203632*c_1001_2^4 - 428/979*c_1001_2^3 + 1004/12727*c_1001_2^2 - 10028/12727*c_1001_2 + 9050/12727, c_0011_12 - 37149/814528*c_1001_2^7 - 51781/814528*c_1001_2^6 - 99729/407264*c_1001_2^5 + 2505/101816*c_1001_2^4 - 318/979*c_1001_2^3 + 6881/25454*c_1001_2^2 - 4535/25454*c_1001_2 + 8005/12727, c_0011_8 + 13369/407264*c_1001_2^7 - 16033/814528*c_1001_2^6 + 15337/101816*c_1001_2^5 - 9765/25454*c_1001_2^4 + 128/979*c_1001_2^3 - 40297/50908*c_1001_2^2 + 7464/12727*c_1001_2 - 6467/12727, c_0101_0 - 1, c_0101_1 - 436769/1629056*c_1001_2^7 - 215515/814528*c_1001_2^6 - 91095/101816*c_1001_2^5 - 9127/50908*c_1001_2^4 - 1317/3916*c_1001_2^3 + 75755/50908*c_1001_2^2 - 2021/12727*c_1001_2 + 19960/12727, c_0101_11 - 187543/1629056*c_1001_2^7 + 5597/407264*c_1001_2^6 - 139175/407264*c_1001_2^5 + 10531/50908*c_1001_2^4 + 2527/7832*c_1001_2^3 + 9606/12727*c_1001_2^2 + 14429/25454*c_1001_2 + 10733/12727, c_0101_12 + 10759/814528*c_1001_2^7 + 18591/407264*c_1001_2^6 + 11625/203632*c_1001_2^5 + 46427/101816*c_1001_2^4 + 1459/7832*c_1001_2^3 + 19485/12727*c_1001_2^2 + 5212/12727*c_1001_2 + 18476/12727, c_0101_3 + 147175/407264*c_1001_2^7 + 49271/814528*c_1001_2^6 + 289947/203632*c_1001_2^5 - 27387/203632*c_1001_2^4 + 12855/7832*c_1001_2^3 - 45411/25454*c_1001_2^2 + 12681/12727*c_1001_2 - 40825/12727, c_0110_6 - 22301/814528*c_1001_2^7 - 2721/407264*c_1001_2^6 - 52363/203632*c_1001_2^5 - 13773/203632*c_1001_2^4 - 1613/1958*c_1001_2^3 - 1864/12727*c_1001_2^2 - 32687/25454*c_1001_2 + 742/12727, c_1001_0 - 104139/814528*c_1001_2^7 - 60449/814528*c_1001_2^6 - 4166/12727*c_1001_2^5 + 11961/50908*c_1001_2^4 - 515/1958*c_1001_2^3 + 9749/12727*c_1001_2^2 - 4583/12727*c_1001_2 - 1136/12727, c_1001_1 - 5945/407264*c_1001_2^7 + 15593/203632*c_1001_2^6 - 66345/407264*c_1001_2^5 + 59337/203632*c_1001_2^4 - 1233/1958*c_1001_2^3 + 19079/50908*c_1001_2^2 - 8813/12727*c_1001_2 + 11931/12727, c_1001_2^8 - 20/29*c_1001_2^7 + 96/29*c_1001_2^6 - 128/29*c_1001_2^5 + 112/29*c_1001_2^4 - 256/29*c_1001_2^3 + 256/29*c_1001_2^2 - 256/29*c_1001_2 + 256/29 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB