Magma V2.19-8 Wed Aug 21 2013 00:58:54 on localhost [Seed = 1377061158] Type ? for help. Type -D to quit. Loading file "L13n6062__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6062 geometric_solution 12.26028140 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 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 0.892156428061 0.765409653496 0 5 3 5 0132 0132 0321 0213 1 1 0 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 -1 1 0 0 1 -1 -1 4 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.370597163610 0.644424926362 6 0 8 7 0132 0132 0132 0132 1 0 0 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 1 -1 0 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 0.798123560449 1.494464064985 9 4 1 0 0132 0321 0321 0132 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 1 -1 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 0.939151215519 0.689985306960 6 7 0 3 3012 0132 0132 0321 1 1 0 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 -1 0 0 1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.878495460150 0.858271837275 9 1 10 1 2310 0132 0132 0213 1 0 1 0 0 0 0 0 0 0 1 -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 0 1 -1 0 0 -3 3 -1 0 0 1 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.370597163610 0.644424926362 2 9 11 4 0132 2310 0132 1230 1 0 1 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 0 0 -1 0 0 1 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.154750994439 0.717264629018 8 4 2 10 0321 0132 0132 3201 1 0 1 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 1 -1 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.142719363285 0.881514934681 7 10 12 2 0321 3201 0132 0132 1 0 1 0 0 0 0 0 0 0 0 0 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 0 -1 1 0 0 0 0 0 1 0 -1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.546378802792 0.491780308022 3 12 5 6 0132 2103 3201 3201 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 0 0 0 0 3 -3 0 0 0 1 -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 0.629266785216 1.066458014151 11 7 8 5 1230 2310 2310 0132 1 0 0 1 0 -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 2 -1 -1 0 0 -3 3 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.494447276735 0.455033893516 12 10 12 6 0132 3012 0321 0132 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 0 0 0.092757605585 0.983560616045 11 9 11 8 0132 2103 0321 0132 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 0 0 -1 0 1 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.092757605585 0.983560616045 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0011_3']), 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : negation(d['c_1001_10']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : negation(d['c_1001_10']), 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : d['c_0011_8'], 's_0_10' : 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_11'], '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' : 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' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_0011_8'], 'c_1100_4' : d['c_1001_1'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : d['c_1001_1'], 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : negation(d['c_0011_10']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_0']), 'c_1100_11' : negation(d['c_0011_3']), 'c_1100_10' : d['c_0011_8'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_1001_10']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : negation(d['c_1001_10']), 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : negation(d['c_1001_10']), 'c_1100_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_3_0' : 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' : d['1'], 'c_1100_12' : negation(d['c_0011_10']), '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' : d['1'], 's_1_1' : d['1'], 's_1_0' : 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_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : d['c_0011_0'], '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_0101_11']), 'c_0110_10' : d['c_0011_11'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : negation(d['c_0101_11']), 'c_0101_7' : negation(d['c_0101_11']), 'c_0101_6' : negation(d['c_0101_11']), 'c_0101_5' : d['c_0011_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_1']), 'c_0110_8' : d['c_0011_4'], '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_11']), 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : negation(d['c_0011_8']), 'c_0110_6' : d['c_0011_4']})} 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_11, c_0011_3, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_1001_0, c_1001_1, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 94665467175/6829904*c_1001_10^12 + 9347554215/184592*c_1001_10^11 + 86139669891/6829904*c_1001_10^10 - 200993385555/853738*c_1001_10^9 + 761102653459/3414952*c_1001_10^8 + 147096493475/853738*c_1001_10^7 - 2097200322257/6829904*c_1001_10^6 - 5577198493/49136*c_1001_10^5 + 2841413259895/6829904*c_1001_10^4 - 1581154055757/6829904*c_1001_10^3 - 1175195373/426869*c_1001_10^2 + 107313351169/3414952*c_1001_10 + 28832068445/6829904, c_0011_0 - 1, c_0011_10 + 865875/126907*c_1001_10^12 - 26399525/1015256*c_1001_10^11 - 1242795/507628*c_1001_10^10 + 118073163/1015256*c_1001_10^9 - 126587295/1015256*c_1001_10^8 - 67287997/1015256*c_1001_10^7 + 152734401/1015256*c_1001_10^6 + 135923/3652*c_1001_10^5 - 198137021/1015256*c_1001_10^4 + 17601524/126907*c_1001_10^3 - 33445075/1015256*c_1001_10^2 - 2444273/1015256*c_1001_10 + 1882449/1015256, c_0011_11 - 89742945/5583908*c_1001_10^12 + 584126703/11167816*c_1001_10^11 + 53953193/1395977*c_1001_10^10 - 2972577963/11167816*c_1001_10^9 + 1560875527/11167816*c_1001_10^8 + 3360142061/11167816*c_1001_10^7 - 2625357827/11167816*c_1001_10^6 - 2833621/10043*c_1001_10^5 + 375369113/1015256*c_1001_10^4 - 368472187/5583908*c_1001_10^3 - 611636317/11167816*c_1001_10^2 + 130210841/11167816*c_1001_10 + 31225225/11167816, c_0011_3 + 865875/126907*c_1001_10^12 - 26399525/1015256*c_1001_10^11 - 1242795/507628*c_1001_10^10 + 118073163/1015256*c_1001_10^9 - 126587295/1015256*c_1001_10^8 - 67287997/1015256*c_1001_10^7 + 152734401/1015256*c_1001_10^6 + 135923/3652*c_1001_10^5 - 198137021/1015256*c_1001_10^4 + 17601524/126907*c_1001_10^3 - 33445075/1015256*c_1001_10^2 - 2444273/1015256*c_1001_10 + 1882449/1015256, c_0011_4 - 2364405/507628*c_1001_10^12 + 16437297/1015256*c_1001_10^11 + 1896271/253814*c_1001_10^10 - 79597577/1015256*c_1001_10^9 + 58751421/1015256*c_1001_10^8 + 73434311/1015256*c_1001_10^7 - 82644109/1015256*c_1001_10^6 - 10195/166*c_1001_10^5 + 119877533/1015256*c_1001_10^4 - 23729919/507628*c_1001_10^3 - 2151071/1015256*c_1001_10^2 + 2132675/1015256*c_1001_10 + 1004647/1015256, c_0011_8 - 590815/253814*c_1001_10^12 + 1050309/126907*c_1001_10^11 + 933393/253814*c_1001_10^10 - 10617207/253814*c_1001_10^9 + 730357/23074*c_1001_10^8 + 11546409/253814*c_1001_10^7 - 6809496/126907*c_1001_10^6 - 71805/1826*c_1001_10^5 + 9491671/126907*c_1001_10^4 - 4411811/253814*c_1001_10^3 - 4392407/253814*c_1001_10^2 + 1541135/253814*c_1001_10 + 92282/126907, c_0101_0 - 3985705/1015256*c_1001_10^12 + 3267899/253814*c_1001_10^11 + 6797267/1015256*c_1001_10^10 - 58973425/1015256*c_1001_10^9 + 44016661/1015256*c_1001_10^8 + 36624751/1015256*c_1001_10^7 - 6089247/126907*c_1001_10^6 - 186807/7304*c_1001_10^5 + 3290767/46148*c_1001_10^4 - 59994383/1015256*c_1001_10^3 + 27674945/1015256*c_1001_10^2 - 2681441/1015256*c_1001_10 - 1582425/507628, c_0101_1 - 1, c_0101_10 + 197095/126907*c_1001_10^12 - 2923651/507628*c_1001_10^11 - 6249/253814*c_1001_10^10 + 11224573/507628*c_1001_10^9 - 13798453/507628*c_1001_10^8 + 1830357/507628*c_1001_10^7 + 8356883/507628*c_1001_10^6 - 20577/1826*c_1001_10^5 - 893641/46148*c_1001_10^4 + 6132959/126907*c_1001_10^3 - 18958429/507628*c_1001_10^2 + 3164537/507628*c_1001_10 + 1544387/507628, c_0101_11 - 47934695/5583908*c_1001_10^12 + 367098673/11167816*c_1001_10^11 + 9128660/1395977*c_1001_10^10 - 1778203733/11167816*c_1001_10^9 + 1655583417/11167816*c_1001_10^8 + 1630505451/11167816*c_1001_10^7 - 2420386101/11167816*c_1001_10^6 - 107828/913*c_1001_10^5 + 3226175829/11167816*c_1001_10^4 - 596493005/5583908*c_1001_10^3 - 332089027/11167816*c_1001_10^2 + 160046983/11167816*c_1001_10 + 28151703/11167816, c_1001_0 - 1027535/1015256*c_1001_10^12 + 2866861/507628*c_1001_10^11 - 7991487/1015256*c_1001_10^10 - 15182681/1015256*c_1001_10^9 + 56773741/1015256*c_1001_10^8 - 39323593/1015256*c_1001_10^7 - 23335167/507628*c_1001_10^6 + 407315/7304*c_1001_10^5 + 10651571/253814*c_1001_10^4 - 96904161/1015256*c_1001_10^3 + 49356641/1015256*c_1001_10^2 - 2544185/1015256*c_1001_10 - 696147/253814, c_1001_1 + 106725/23074*c_1001_10^12 - 1573985/92296*c_1001_10^11 - 72237/46148*c_1001_10^10 + 6727019/92296*c_1001_10^9 - 7693631/92296*c_1001_10^8 - 2431885/92296*c_1001_10^7 + 8632405/92296*c_1001_10^6 + 1865/332*c_1001_10^5 - 11028585/92296*c_1001_10^4 + 2515467/23074*c_1001_10^3 - 3446059/92296*c_1001_10^2 + 84199/92296*c_1001_10 + 180677/92296, c_1001_10^13 - 21/5*c_1001_10^12 + 6/5*c_1001_10^11 + 86/5*c_1001_10^10 - 129/5*c_1001_10^9 - 11/5*c_1001_10^8 + 144/5*c_1001_10^7 - 28/5*c_1001_10^6 - 169/5*c_1001_10^5 + 174/5*c_1001_10^4 - 52/5*c_1001_10^3 - 11/5*c_1001_10^2 + 6/5*c_1001_10 + 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.280 Total time: 0.490 seconds, Total memory usage: 32.09MB