Magma V2.19-8 Tue Aug 20 2013 23:38:26 on localhost [Seed = 1343632489] Type ? for help. Type -D to quit. Loading file "K14n21329__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n21329 geometric_solution 8.41094865 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 2 0132 0132 0132 1230 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 -1 0 1 0 0 0 0 1 -5 0 4 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.118522363099 1.772610959541 0 4 3 5 0132 0132 3012 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 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 0.475303901810 0.233434818153 0 0 6 4 3012 0132 0132 3120 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 1 0 -1 -1 0 1 0 0 0 0 0 -4 5 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.224915374125 0.452294466080 7 1 8 0 0132 1230 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 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 0.208795729729 0.451505018735 2 1 9 8 3120 0132 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.612886052310 0.507326679605 7 7 1 6 2103 0321 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 -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 0.128551530298 0.732063115439 5 8 9 2 3201 3120 3012 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 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 -0.349656275300 0.710138476202 3 8 5 5 0132 2031 2103 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0.339245242713 0.583407218479 7 6 4 3 1302 3120 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.652543214428 0.452516006556 9 6 9 4 2310 1230 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.096056243085 0.948030079078 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_6'], 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : negation(d['c_0011_9']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0011_8']), 'c_1001_9' : d['c_0101_4'], 'c_1001_8' : d['c_0011_9'], 's_2_8' : d['1'], 's_2_9' : 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_2_6' : d['1'], 's_2_7' : 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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0011_9']), 'c_1100_8' : d['c_0110_2'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0011_9']), 'c_1100_7' : d['c_0101_6'], 'c_1100_6' : negation(d['c_0101_4']), 'c_1100_1' : d['c_0011_6'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : negation(d['c_0101_4']), 'c_1010_7' : d['c_0011_8'], 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : d['c_0101_6'], 'c_1010_0' : negation(d['c_0011_8']), 'c_1010_9' : d['c_0101_6'], 'c_1010_8' : negation(d['c_0011_6']), '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' : d['1'], '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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : negation(d['c_0011_8']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_4']), 'c_0101_8' : d['c_0011_3'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : negation(d['c_0011_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0101_6']), 'c_0110_4' : d['c_0110_2'], 'c_0110_7' : negation(d['c_0011_5']), 'c_0110_6' : negation(d['c_0011_8'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0011_6, c_0011_8, c_0011_9, c_0101_0, c_0101_4, c_0101_6, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 23 Groebner basis: [ t + 3602621375799/5369615728*c_0110_2^22 + 35038258456447/2684807864*c_0110_2^21 + 177585778991475/1342403932*c_0110_2^20 + 4885153713669441/5369615728*c_0110_2^19 + 12646971154607671/2684807864*c_0110_2^18 + 104096355999112025/5369615728*c_0110_2^17 + 351693977053850081/5369615728*c_0110_2^16 + 497848509094327649/2684807864*c_0110_2^15 + 2394090835036370569/5369615728*c_0110_2^14 + 4930957083555632105/5369615728*c_0110_2^13 + 8743422979263640981/5369615728*c_0110_2^12 + 13376050905294029121/5369615728*c_0110_2^11 + 17648348732168598241/5369615728*c_0110_2^10 + 20024990081682730415/5369615728*c_0110_2^9 + 19433692228416207199/5369615728*c_0110_2^8 + 15994066807816480093/5369615728*c_0110_2^7 + 689170104620477141/335600983*c_0110_2^6 + 3129344028704222819/2684807864*c_0110_2^5 + 1426692954672507159/2684807864*c_0110_2^4 + 251923061088740443/1342403932*c_0110_2^3 + 32535628268761871/671201966*c_0110_2^2 + 5530066699048865/671201966*c_0110_2 + 3799376641268455/5369615728, c_0011_0 - 1, c_0011_3 + c_0110_2^5 + 4*c_0110_2^4 + 10*c_0110_2^3 + 13*c_0110_2^2 + 10*c_0110_2 + 3, c_0011_5 + c_0110_2^6 + 5*c_0110_2^5 + 15*c_0110_2^4 + 26*c_0110_2^3 + 29*c_0110_2^2 + 18*c_0110_2 + 5, c_0011_6 + 1/2*c_0110_2^18 + 7*c_0110_2^17 + 52*c_0110_2^16 + 261*c_0110_2^15 + 975*c_0110_2^14 + 2842*c_0110_2^13 + 13265/2*c_0110_2^12 + 12552*c_0110_2^11 + 38661/2*c_0110_2^10 + 24094*c_0110_2^9 + 47799/2*c_0110_2^8 + 36353/2*c_0110_2^7 + 19367/2*c_0110_2^6 + 5075/2*c_0110_2^5 - 946*c_0110_2^4 - 2763/2*c_0110_2^3 - 709*c_0110_2^2 - 387/2*c_0110_2 - 24, c_0011_8 + 1/2*c_0110_2^22 + 19/2*c_0110_2^21 + 94*c_0110_2^20 + 1261/2*c_0110_2^19 + 3181*c_0110_2^18 + 12743*c_0110_2^17 + 83719/2*c_0110_2^16 + 230163/2*c_0110_2^15 + 536665/2*c_0110_2^14 + 535140*c_0110_2^13 + 1834589/2*c_0110_2^12 + 2708287/2*c_0110_2^11 + 1720640*c_0110_2^10 + 3752197/2*c_0110_2^9 + 1745325*c_0110_2^8 + 1373182*c_0110_2^7 + 902229*c_0110_2^6 + 972621/2*c_0110_2^5 + 209682*c_0110_2^4 + 69689*c_0110_2^3 + 33667/2*c_0110_2^2 + 2651*c_0110_2 + 207, c_0011_9 - 1/2*c_0110_2^19 - 8*c_0110_2^18 - 67*c_0110_2^17 - 380*c_0110_2^16 - 1615*c_0110_2^15 - 5418*c_0110_2^14 - 29579/2*c_0110_2^13 - 33464*c_0110_2^12 - 126945/2*c_0110_2^11 - 101533*c_0110_2^10 - 274483/2*c_0110_2^9 - 312955/2*c_0110_2^8 - 299305/2*c_0110_2^7 - 237731/2*c_0110_2^6 - 77198*c_0110_2^5 - 80091/2*c_0110_2^4 - 16010*c_0110_2^3 - 9315/2*c_0110_2^2 - 887*c_0110_2 - 85, c_0101_0 + 1/2*c_0110_2^22 + 10*c_0110_2^21 + 207/2*c_0110_2^20 + 724*c_0110_2^19 + 7605/2*c_0110_2^18 + 15840*c_0110_2^17 + 108147/2*c_0110_2^16 + 154448*c_0110_2^15 + 374139*c_0110_2^14 + 775362*c_0110_2^13 + 2763333/2*c_0110_2^12 + 4243311/2*c_0110_2^11 + 5612793/2*c_0110_2^10 + 3188379*c_0110_2^9 + 3094033*c_0110_2^8 + 5084987/2*c_0110_2^7 + 3494387/2*c_0110_2^6 + 1972913/2*c_0110_2^5 + 446183*c_0110_2^4 + 155777*c_0110_2^3 + 39582*c_0110_2^2 + 13143/2*c_0110_2 + 544, c_0101_4 + 1/2*c_0110_2^21 + 9*c_0110_2^20 + 169/2*c_0110_2^19 + 1075/2*c_0110_2^18 + 2568*c_0110_2^17 + 9721*c_0110_2^16 + 60183/2*c_0110_2^15 + 77696*c_0110_2^14 + 169454*c_0110_2^13 + 629181/2*c_0110_2^12 + 499135*c_0110_2^11 + 677451*c_0110_2^10 + 785084*c_0110_2^9 + 1546403/2*c_0110_2^8 + 642094*c_0110_2^7 + 888787/2*c_0110_2^6 + 504177/2*c_0110_2^5 + 114441*c_0110_2^4 + 80263/2*c_0110_2^3 + 20543/2*c_0110_2^2 + 3453/2*c_0110_2 + 146, c_0101_6 + 1/2*c_0110_2^18 + 8*c_0110_2^17 + 67*c_0110_2^16 + 379*c_0110_2^15 + 1601*c_0110_2^14 + 5315*c_0110_2^13 + 28559/2*c_0110_2^12 + 31590*c_0110_2^11 + 116217/2*c_0110_2^10 + 89248*c_0110_2^9 + 228803/2*c_0110_2^8 + 243585/2*c_0110_2^7 + 213289/2*c_0110_2^6 + 151213/2*c_0110_2^5 + 42373*c_0110_2^4 + 36201/2*c_0110_2^3 + 5560*c_0110_2^2 + 2209/2*c_0110_2 + 109, c_0110_2^23 + 20*c_0110_2^22 + 208*c_0110_2^21 + 1467*c_0110_2^20 + 7792*c_0110_2^19 + 32923*c_0110_2^18 + 114341*c_0110_2^17 + 333324*c_0110_2^16 + 827011*c_0110_2^15 + 1762337*c_0110_2^14 + 3243777*c_0110_2^13 + 5172057*c_0110_2^12 + 7147837*c_0110_2^11 + 8548379*c_0110_2^10 + 8813015*c_0110_2^9 + 7783417*c_0110_2^8 + 5835010*c_0110_2^7 + 3665866*c_0110_2^6 + 1896162*c_0110_2^5 + 787624*c_0110_2^4 + 253308*c_0110_2^3 + 59512*c_0110_2^2 + 9169*c_0110_2 + 706 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB