Magma V2.19-8 Tue Aug 20 2013 18:00:51 on localhost [Seed = 1090581627] Type ? for help. Type -D to quit. Loading file "10_43__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_43 geometric_solution 12.60259611 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 14 1 2 3 1 0132 0132 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.066726763483 0.801968981979 0 4 2 0 0132 0132 2103 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.066726763483 0.801968981979 1 0 6 5 2103 0132 0132 0132 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 0 2 -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 0.495892018128 0.788081880757 7 8 7 0 0132 0132 3120 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 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 0.821405148439 0.983922699706 9 1 6 9 0132 0132 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 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 0.500000000000 1.302312171276 6 10 2 7 0132 0132 0132 3201 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 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 -0.106184835224 0.377709984594 5 4 8 2 0132 3201 3201 0132 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 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.312485134931 1.390794439327 3 5 3 11 0132 2310 3120 0132 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 1 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.821405148439 0.983922699706 6 3 10 12 2310 0132 0132 0132 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 -1 0 1 0 0 0 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.106184835224 0.377709984594 4 4 13 10 0132 1302 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.743064936125 0.669219321823 9 5 12 8 3120 0132 0213 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 0.714366886869 0.577815790776 13 12 7 13 2310 1023 0132 0321 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 1 0 -1 -1 0 1 0 -1 0 0 1 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.066726763483 0.801968981979 11 10 8 13 1023 0213 0132 3120 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 -1 1 -1 0 0 1 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.424006870710 0.900461339550 12 11 11 9 3120 0321 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 1 -1 0 -1 0 1 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 -0.066726763483 0.801968981979 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : d['c_1001_10'], 'c_1001_13' : negation(d['c_0101_11']), 'c_1001_12' : d['c_1001_10'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_1001_2']), 'c_1001_7' : negation(d['c_1001_10']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_9'], 'c_1001_8' : d['c_1001_0'], 'c_1010_13' : d['c_0101_9'], 'c_1010_12' : negation(d['c_0011_13']), 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : d['c_1001_0'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_3_13' : 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_0011_11'], '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_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0011_11']), 'c_1100_8' : negation(d['c_0011_13']), 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : negation(d['c_0101_11']), 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : d['c_0011_3'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_11']), 'c_1100_10' : negation(d['c_0011_13']), 'c_1100_13' : negation(d['c_0011_11']), 's_3_10' : d['1'], 's_0_12' : d['1'], 'c_1010_7' : d['c_0101_12'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_1001_10'], 's_0_13' : d['1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_1001_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' : negation(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_13']), '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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0101_13' : d['c_0011_13'], 'c_0011_6' : d['c_0011_10'], '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_13']), 'c_0110_10' : d['c_0101_4'], 'c_0110_13' : d['c_0101_9'], 'c_0110_12' : d['c_0101_9'], 'c_1010_4' : negation(d['c_0011_0']), 'c_0101_12' : d['c_0101_12'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0101_12']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_11'], '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_9'], 'c_0101_8' : d['c_0101_4'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0101_12']), 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_11'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_3, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_4, c_0101_9, c_1001_0, c_1001_10, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 36 Groebner basis: [ t - 97345689062/71645375*c_1001_2^35 - 1778177700759/71645375*c_1001_2^34 - 16118731530349/71645375*c_1001_2^33 - 95417029061127/71645375*c_1001_2^32 - 410683843909033/71645375*c_1001_2^31 - 271454887817724/14329075*c_1001_2^30 - 709893321442326/14329075*c_1001_2^29 - 1491700295104218/14329075*c_1001_2^28 - 12639588474406851/71645375*c_1001_2^27 - 17114778105499341/71645375*c_1001_2^26 - 17959133699466266/71645375*c_1001_2^25 - 2686782568212484/14329075*c_1001_2^24 - 1027826016595783/14329075*c_1001_2^23 + 2331780047747584/71645375*c_1001_2^22 + 4807737030629454/71645375*c_1001_2^21 + 2096768036756288/71645375*c_1001_2^20 - 410095631377261/14329075*c_1001_2^19 - 3678045037176422/71645375*c_1001_2^18 - 420120727250588/14329075*c_1001_2^17 + 349341931450357/71645375*c_1001_2^16 + 1357436259459713/71645375*c_1001_2^15 + 745625865860474/71645375*c_1001_2^14 - 178147607974643/71645375*c_1001_2^13 - 448168087384603/71645375*c_1001_2^12 - 35444275205819/14329075*c_1001_2^11 + 87659010650763/71645375*c_1001_2^10 + 111152196339738/71645375*c_1001_2^9 + 4503388215379/14329075*c_1001_2^8 - 24918216819138/71645375*c_1001_2^7 - 15788613555173/71645375*c_1001_2^6 + 748025411208/71645375*c_1001_2^5 + 3817128429054/71645375*c_1001_2^4 + 7448423567/573163*c_1001_2^3 - 247742392002/71645375*c_1001_2^2 - 97488666366/71645375*c_1001_2 - 126450797389/71645375, c_0011_0 - 1, c_0011_10 - c_1001_2^27 - 14*c_1001_2^26 - 96*c_1001_2^25 - 420*c_1001_2^24 - 1292*c_1001_2^23 - 2906*c_1001_2^22 - 4790*c_1001_2^21 - 5514*c_1001_2^20 - 3565*c_1001_2^19 + 826*c_1001_2^18 + 4960*c_1001_2^17 + 5742*c_1001_2^16 + 2856*c_1001_2^15 - 758*c_1001_2^14 - 2024*c_1001_2^13 - 762*c_1001_2^12 + 830*c_1001_2^11 + 1080*c_1001_2^10 + 320*c_1001_2^9 - 268*c_1001_2^8 - 248*c_1001_2^7 - 4*c_1001_2^6 + 86*c_1001_2^5 + 32*c_1001_2^4 - 13*c_1001_2^3 - 10*c_1001_2^2, c_0011_11 - c_1001_2^18 - 10*c_1001_2^17 - 49*c_1001_2^16 - 150*c_1001_2^15 - 312*c_1001_2^14 - 448*c_1001_2^13 - 423*c_1001_2^12 - 202*c_1001_2^11 + 63*c_1001_2^10 + 174*c_1001_2^9 + 97*c_1001_2^8 - 26*c_1001_2^7 - 68*c_1001_2^6 - 32*c_1001_2^5 + 6*c_1001_2^4 + 12*c_1001_2^3 + 3*c_1001_2^2 - 2*c_1001_2 - 1, c_0011_13 + c_1001_2^22 + 12*c_1001_2^21 + 71*c_1001_2^20 + 268*c_1001_2^19 + 710*c_1001_2^18 + 1372*c_1001_2^17 + 1943*c_1001_2^16 + 1944*c_1001_2^15 + 1188*c_1001_2^14 + 112*c_1001_2^13 - 540*c_1001_2^12 - 444*c_1001_2^11 + 32*c_1001_2^10 + 312*c_1001_2^9 + 221*c_1001_2^8 + 4*c_1001_2^7 - 85*c_1001_2^6 - 44*c_1001_2^5 + 9*c_1001_2^4 + 16*c_1001_2^3 + 2*c_1001_2^2 - 4*c_1001_2 - 1, c_0011_3 + c_1001_2^33 + 18*c_1001_2^32 + 160*c_1001_2^31 + 926*c_1001_2^30 + 3889*c_1001_2^29 + 12528*c_1001_2^28 + 31932*c_1001_2^27 + 65480*c_1001_2^26 + 108655*c_1001_2^25 + 145120*c_1001_2^24 + 152664*c_1001_2^23 + 119586*c_1001_2^22 + 58674*c_1001_2^21 + 2242*c_1001_2^20 - 21936*c_1001_2^19 - 12268*c_1001_2^18 + 9023*c_1001_2^17 + 18906*c_1001_2^16 + 12528*c_1001_2^15 + 938*c_1001_2^14 - 4718*c_1001_2^13 - 3182*c_1001_2^12 + 178*c_1001_2^11 + 1368*c_1001_2^10 + 630*c_1001_2^9 - 168*c_1001_2^8 - 264*c_1001_2^7 - 50*c_1001_2^6 + 52*c_1001_2^5 + 26*c_1001_2^4 - 4*c_1001_2^3 - 4*c_1001_2^2 + c_1001_2, c_0101_0 - c_1001_2^34 - 18*c_1001_2^33 - 161*c_1001_2^32 - 942*c_1001_2^31 - 4016*c_1001_2^30 - 13184*c_1001_2^29 - 34383*c_1001_2^28 - 72466*c_1001_2^27 - 124291*c_1001_2^26 - 172998*c_1001_2^25 - 192377*c_1001_2^24 - 164374*c_1001_2^23 - 97588*c_1001_2^22 - 26656*c_1001_2^21 + 12680*c_1001_2^20 + 11504*c_1001_2^19 - 9039*c_1001_2^18 - 21414*c_1001_2^17 - 16103*c_1001_2^16 - 3202*c_1001_2^15 + 4280*c_1001_2^14 + 3520*c_1001_2^13 - 20*c_1001_2^12 - 1496*c_1001_2^11 - 748*c_1001_2^10 + 200*c_1001_2^9 + 348*c_1001_2^8 + 82*c_1001_2^7 - 72*c_1001_2^6 - 48*c_1001_2^5 + 2*c_1001_2^4 + 12*c_1001_2^3 + 3*c_1001_2^2 - 2*c_1001_2 - 1, c_0101_1 + c_1001_2^35 + 18*c_1001_2^34 + 160*c_1001_2^33 + 924*c_1001_2^32 + 3856*c_1001_2^31 + 12258*c_1001_2^30 + 30494*c_1001_2^29 + 59938*c_1001_2^28 + 92359*c_1001_2^27 + 107518*c_1001_2^26 + 83722*c_1001_2^25 + 19254*c_1001_2^24 - 55076*c_1001_2^23 - 92930*c_1001_2^22 - 71354*c_1001_2^21 - 13746*c_1001_2^20 + 30975*c_1001_2^19 + 33682*c_1001_2^18 + 7080*c_1001_2^17 - 15704*c_1001_2^16 - 16808*c_1001_2^15 - 4458*c_1001_2^14 + 4738*c_1001_2^13 + 4678*c_1001_2^12 + 570*c_1001_2^11 - 1568*c_1001_2^10 - 978*c_1001_2^9 + 86*c_1001_2^8 + 336*c_1001_2^7 + 98*c_1001_2^6 - 54*c_1001_2^5 - 38*c_1001_2^4 + c_1001_2^3 + 6*c_1001_2^2, c_0101_11 + c_1001_2^3 + 2*c_1001_2^2 + 2*c_1001_2, c_0101_12 - c_1001_2^7 - 4*c_1001_2^6 - 8*c_1001_2^5 - 8*c_1001_2^4 - 4*c_1001_2^3, c_0101_4 - c_1001_2^25 - 14*c_1001_2^24 - 96*c_1001_2^23 - 422*c_1001_2^22 - 1317*c_1001_2^21 - 3060*c_1001_2^20 - 5398*c_1001_2^19 - 7212*c_1001_2^18 - 7069*c_1001_2^17 - 4592*c_1001_2^16 - 1232*c_1001_2^15 + 822*c_1001_2^14 + 692*c_1001_2^13 - 510*c_1001_2^12 - 1132*c_1001_2^11 - 700*c_1001_2^10 + 26*c_1001_2^9 + 296*c_1001_2^8 + 128*c_1001_2^7 - 60*c_1001_2^6 - 75*c_1001_2^5 - 10*c_1001_2^4 + 18*c_1001_2^3 + 8*c_1001_2^2 - c_1001_2, c_0101_9 + c_1001_2^26 + 14*c_1001_2^25 + 97*c_1001_2^24 + 434*c_1001_2^23 + 1388*c_1001_2^22 + 3328*c_1001_2^21 + 6107*c_1001_2^20 + 8574*c_1001_2^19 + 8963*c_1001_2^18 + 6386*c_1001_2^17 + 2109*c_1001_2^16 - 1150*c_1001_2^15 - 1624*c_1001_2^14 - 64*c_1001_2^13 + 1332*c_1001_2^12 + 1272*c_1001_2^11 + 302*c_1001_2^10 - 380*c_1001_2^9 - 346*c_1001_2^8 - 28*c_1001_2^7 + 120*c_1001_2^6 + 64*c_1001_2^5 - 11*c_1001_2^4 - 22*c_1001_2^3 - 5*c_1001_2^2 + 2*c_1001_2 + 1, c_1001_0 - c_1001_2^2 - 2*c_1001_2 - 1, c_1001_10 + c_1001_2^30 + 16*c_1001_2^29 + 127*c_1001_2^28 + 656*c_1001_2^27 + 2450*c_1001_2^26 + 6972*c_1001_2^25 + 15539*c_1001_2^24 + 27444*c_1001_2^23 + 38324*c_1001_2^22 + 41448*c_1001_2^21 + 32736*c_1001_2^20 + 15572*c_1001_2^19 - 416*c_1001_2^18 - 6984*c_1001_2^17 - 3987*c_1001_2^16 + 1864*c_1001_2^15 + 4322*c_1001_2^14 + 2656*c_1001_2^13 + 38*c_1001_2^12 - 1036*c_1001_2^11 - 660*c_1001_2^10 - 64*c_1001_2^9 + 136*c_1001_2^8 + 80*c_1001_2^7 + 14*c_1001_2^6 - 8*c_1001_2^5 - 14*c_1001_2^4 - 10*c_1001_2^3 + 4*c_1001_2 + 1, c_1001_2^36 + 19*c_1001_2^35 + 179*c_1001_2^34 + 1102*c_1001_2^33 + 4941*c_1001_2^32 + 17056*c_1001_2^31 + 46768*c_1001_2^30 + 103616*c_1001_2^29 + 186680*c_1001_2^28 + 272343*c_1001_2^27 + 315531*c_1001_2^26 + 275974*c_1001_2^25 + 156555*c_1001_2^24 + 16368*c_1001_2^23 - 66696*c_1001_2^22 - 58444*c_1001_2^21 + 4549*c_1001_2^20 + 53153*c_1001_2^19 + 49801*c_1001_2^18 + 12790*c_1001_2^17 - 16409*c_1001_2^16 - 18064*c_1001_2^15 - 4000*c_1001_2^14 + 5896*c_1001_2^13 + 5268*c_1001_2^12 + 498*c_1001_2^11 - 1798*c_1001_2^10 - 1092*c_1001_2^9 + 74*c_1001_2^8 + 352*c_1001_2^7 + 116*c_1001_2^6 - 44*c_1001_2^5 - 39*c_1001_2^4 - 5*c_1001_2^3 + 3*c_1001_2^2 + 2*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 11.390 Total time: 11.599 seconds, Total memory usage: 64.12MB