Magma V2.19-8 Tue Aug 20 2013 23:39:05 on localhost [Seed = 3019233242] Type ? for help. Type -D to quit. Loading file "K12n851__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n851 geometric_solution 9.32265265 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 -7 -1 8 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 0.131652769428 0.871864895181 0 5 3 6 0132 0132 1302 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 0.695958340391 0.542092485437 3 0 4 5 1302 0132 2103 3120 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 7 -7 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 0.666338439460 0.849618388552 1 2 7 0 2031 2031 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 -1 0 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 0.177020563105 0.564644730161 2 8 0 9 2103 0132 0132 0132 0 0 0 0 0 -1 1 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 8 -8 0 0 0 0 0 7 -7 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.368462047643 1.408189818054 2 1 9 6 3120 0132 2310 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.657029161963 0.415253371962 5 7 1 10 3012 3120 0132 0132 0 0 0 0 0 1 0 -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 -7 0 7 0 0 0 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.107655070529 0.607523923919 10 6 9 3 3012 3120 0132 0132 0 0 0 0 0 0 0 0 1 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 -7 0 7 0 8 -8 0 0 1 7 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.473104662011 0.306544563140 10 4 9 10 1023 0132 3201 3120 0 0 0 0 0 1 0 -1 0 0 -1 1 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 -8 0 8 0 0 8 -8 0 1 0 -1 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.159642667241 0.580886224133 8 5 4 7 2310 3201 0132 0132 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 0 0 0 7 0 0 -7 -8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.047589449682 1.378506109154 8 8 6 7 3120 1023 0132 1230 0 0 0 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 -7 7 8 0 0 -8 1 0 0 -1 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.560109532273 1.600614154392 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_9'], 'c_1001_10' : negation(d['c_0011_7']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_10']), 'c_1001_7' : negation(d['c_1001_5']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0011_10']), 'c_1001_9' : negation(d['c_0101_5']), 'c_1001_8' : negation(d['c_0101_5']), 'c_1010_10' : d['c_0011_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0011_9'], '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_10' : 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_1100_9' : d['c_1100_0'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_9'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_5']), 'c_1100_10' : d['c_0101_3'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_10']), 'c_1010_9' : negation(d['c_1001_5']), 'c_1010_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'], '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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], '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_10' : d['c_0011_7'], 'c_0101_7' : d['c_0011_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_5'], 'c_0101_8' : negation(d['c_0011_7']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_7'], 'c_0110_8' : d['c_0011_7'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_3'], 'c_1100_8' : negation(d['c_0011_9'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_7, c_0011_9, c_0101_0, c_0101_3, c_0101_5, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 62803596633377348459/11047678207688953*c_1100_0^11 - 49156139399715683831/11047678207688953*c_1100_0^10 + 152941556210571774529/11047678207688953*c_1100_0^9 - 2072411749839897261625/11047678207688953*c_1100_0^8 - 4453308055426636238202/11047678207688953*c_1100_0^7 + 4582379491942645527325/11047678207688953*c_1100_0^6 + 1914812355168837188111/11047678207688953*c_1100_0^5 - 5581917868174691222629/11047678207688953*c_1100_0^4 - 618277668356372177593/11047678207688953*c_1100_0^3 + 4675135966324275154035/11047678207688953*c_1100_0^2 + 2477080181947958947143/11047678207688953*c_1100_0 + 757070095139652903079/11047678207688953, c_0011_0 - 1, c_0011_10 - 23439674395/254010489221*c_1100_0^11 - 15855651874/254010489221*c_1100_0^10 + 52696810232/254010489221*c_1100_0^9 - 790442135474/254010489221*c_1100_0^8 - 1574704530373/254010489221*c_1100_0^7 + 1684217041896/254010489221*c_1100_0^6 - 108289923910/254010489221*c_1100_0^5 - 2305278345702/254010489221*c_1100_0^4 + 86014475797/254010489221*c_1100_0^3 + 1361563585527/254010489221*c_1100_0^2 + 29720196812/254010489221*c_1100_0 + 26935481254/254010489221, c_0011_3 + 176758690472/5842241252083*c_1100_0^11 + 67736368750/5842241252083*c_1100_0^10 - 452476229433/5842241252083*c_1100_0^9 + 6114272448709/5842241252083*c_1100_0^8 + 10236500212150/5842241252083*c_1100_0^7 - 16948299440525/5842241252083*c_1100_0^6 + 4883658612566/5842241252083*c_1100_0^5 + 23080795922206/5842241252083*c_1100_0^4 - 7741553074979/5842241252083*c_1100_0^3 - 12164688320773/5842241252083*c_1100_0^2 + 7256671303673/5842241252083*c_1100_0 + 524050840678/5842241252083, c_0011_6 - 135365008761/5842241252083*c_1100_0^11 - 418062501347/5842241252083*c_1100_0^10 + 39802833191/5842241252083*c_1100_0^9 - 3853479139505/5842241252083*c_1100_0^8 - 19969722982845/5842241252083*c_1100_0^7 - 13695218094649/5842241252083*c_1100_0^6 + 20171797894835/5842241252083*c_1100_0^5 - 10081612737095/5842241252083*c_1100_0^4 - 30839003546505/5842241252083*c_1100_0^3 + 4795783393203/5842241252083*c_1100_0^2 + 23573080032613/5842241252083*c_1100_0 + 1967981751734/5842241252083, c_0011_7 + 336129538048/5842241252083*c_1100_0^11 + 184150139020/5842241252083*c_1100_0^10 - 745743894300/5842241252083*c_1100_0^9 + 11512828970665/5842241252083*c_1100_0^8 + 21100468058189/5842241252083*c_1100_0^7 - 25781879820664/5842241252083*c_1100_0^6 + 9165824624649/5842241252083*c_1100_0^5 + 34175436850548/5842241252083*c_1100_0^4 - 5542540524540/5842241252083*c_1100_0^3 - 13169500067375/5842241252083*c_1100_0^2 + 642456247133/5842241252083*c_1100_0 - 2876055675053/5842241252083, c_0011_9 - 982010317079/5842241252083*c_1100_0^11 - 726085778149/5842241252083*c_1100_0^10 + 2237167828545/5842241252083*c_1100_0^9 - 32980716762437/5842241252083*c_1100_0^8 - 68285986809779/5842241252083*c_1100_0^7 + 68729131791390/5842241252083*c_1100_0^6 + 2788817506917/5842241252083*c_1100_0^5 - 105890083539928/5842241252083*c_1100_0^4 - 5266382469945/5842241252083*c_1100_0^3 + 49929230089270/5842241252083*c_1100_0^2 + 6048922901108/5842241252083*c_1100_0 + 2545225581729/5842241252083, c_0101_0 - 312123699233/5842241252083*c_1100_0^11 - 485798870097/5842241252083*c_1100_0^10 + 492279062624/5842241252083*c_1100_0^9 - 9967751588214/5842241252083*c_1100_0^8 - 30206223194995/5842241252083*c_1100_0^7 + 3253081345876/5842241252083*c_1100_0^6 + 15288139282269/5842241252083*c_1100_0^5 - 33162408659301/5842241252083*c_1100_0^4 - 23097450471526/5842241252083*c_1100_0^3 + 16960471713976/5842241252083*c_1100_0^2 + 10474167476857/5842241252083*c_1100_0 + 1443930911056/5842241252083, c_0101_3 + 553358642851/5842241252083*c_1100_0^11 + 395853668446/5842241252083*c_1100_0^10 - 1249790304667/5842241252083*c_1100_0^9 + 18552919462223/5842241252083*c_1100_0^8 + 37838449348024/5842241252083*c_1100_0^7 - 38888067153008/5842241252083*c_1100_0^6 - 1834254758653/5842241252083*c_1100_0^5 + 50849571397817/5842241252083*c_1100_0^4 - 356107031488/5842241252083*c_1100_0^3 - 24225386110230/5842241252083*c_1100_0^2 - 595211391616/5842241252083*c_1100_0 - 1990071790214/5842241252083, c_0101_5 - 452810175868/5842241252083*c_1100_0^11 - 467265602515/5842241252083*c_1100_0^10 + 932734583943/5842241252083*c_1100_0^9 - 14858325344930/5842241252083*c_1100_0^8 - 35940051639093/5842241252083*c_1100_0^7 + 22336492988711/5842241252083*c_1100_0^6 + 12243293676376/5842241252083*c_1100_0^5 - 46595022729408/5842241252083*c_1100_0^4 - 21806893902092/5842241252083*c_1100_0^3 + 28147713623628/5842241252083*c_1100_0^2 + 15278674014929/5842241252083*c_1100_0 - 1724105801201/5842241252083, c_1001_5 - 484151060081/5842241252083*c_1100_0^11 - 740566078580/5842241252083*c_1100_0^10 + 834549311391/5842241252083*c_1100_0^9 - 15378524496945/5842241252083*c_1100_0^8 - 46532699502733/5842241252083*c_1100_0^7 + 7833301269328/5842241252083*c_1100_0^6 + 29096967239087/5842241252083*c_1100_0^5 - 51882598121667/5842241252083*c_1100_0^4 - 41387396538743/5842241252083*c_1100_0^3 + 25060772648018/5842241252083*c_1100_0^2 + 20752719880190/5842241252083*c_1100_0 + 2432679187994/5842241252083, c_1100_0^12 + c_1100_0^11 - 2*c_1100_0^10 + 33*c_1100_0^9 + 78*c_1100_0^8 - 49*c_1100_0^7 - 17*c_1100_0^6 + 96*c_1100_0^5 + 31*c_1100_0^4 - 45*c_1100_0^3 - 21*c_1100_0^2 - 6*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.420 Total time: 0.620 seconds, Total memory usage: 32.09MB