Magma V2.19-8 Wed Aug 21 2013 01:09:30 on localhost [Seed = 2851057709] Type ? for help. Type -D to quit. Loading file "L14n46793__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n46793 geometric_solution 12.07467650 oriented_manifold CS_known -0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 1302 0132 2 2 2 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 0 0 0 0 0 -1 0 1 -2 0 2 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 0.439560180948 0.643714465369 0 4 3 5 0132 0132 3012 0132 2 2 1 2 0 0 1 -1 1 0 -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 1 -1 2 0 -2 0 -1 -1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.769347623645 0.883663468229 0 0 4 6 2031 0132 1230 0132 2 2 1 2 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 0 -1 0 0 0 0 1 0 0 -1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.276541162239 1.059470213979 3 1 0 3 3201 1230 0132 2310 2 2 2 2 0 1 0 -1 1 0 0 -1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -1 -1 1 0 0 -1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.810180185045 0.944570731650 5 1 7 2 0213 0132 0132 3012 2 2 2 1 0 0 1 -1 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 2 -2 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 1.054001130328 0.731420646053 4 8 1 7 0213 0132 0132 0132 2 2 2 1 0 0 1 -1 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 1 -2 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 0.110562429784 0.762678384215 9 10 2 8 0132 0132 0132 1302 2 2 2 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 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.177688577619 1.200059572573 8 11 5 4 0321 0132 0132 0132 2 2 1 2 0 0 1 -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 0 2 -2 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 0.577960012426 0.570712967497 7 5 6 12 0321 0132 2031 0132 2 2 1 2 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 -1 1 0 0 0 1 -1 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.229798092219 1.064503437552 6 12 11 10 0132 2031 1230 1023 0 2 1 2 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 0 1 -1 0 0 0 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 0.777107449939 1.134090089028 11 6 12 9 0132 0132 1230 1023 2 0 1 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 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 0.439632187030 0.407707534161 10 7 12 9 0132 0132 0213 3012 2 0 2 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 0.777107449939 1.134090089028 9 11 8 10 1302 0213 0132 3012 2 2 0 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 0 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 -0.222892550061 1.134090089028 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_11'], 'c_1001_5' : d['c_1001_11'], 'c_1001_4' : d['c_1001_11'], 'c_1001_7' : negation(d['c_0101_9']), 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_6'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : negation(d['c_0101_9']), 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : negation(d['c_0101_9']), 'c_1010_10' : d['c_0101_6'], 's_0_10' : negation(d['1']), 's_3_10' : 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_0011_12'], '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' : 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' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0101_10'], 'c_1100_8' : negation(d['c_1001_10']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_2']), 'c_1100_4' : negation(d['c_1001_2']), 'c_1100_7' : negation(d['c_1001_2']), 'c_1100_6' : negation(d['c_0101_7']), 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0101_7']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : negation(d['c_0101_10']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : negation(d['c_0101_9']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_6'], 'c_1010_1' : d['c_1001_11'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : d['c_1001_11'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1001_10']), 's_1_7' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : negation(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' : d['c_0101_10'], 'c_0110_10' : d['c_0011_12'], 'c_0110_12' : negation(d['c_0101_10']), 'c_0101_12' : negation(d['c_0011_10']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_7']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0011_0'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_7'], 'c_0110_4' : negation(d['c_0101_7']), 'c_0110_7' : d['c_0011_5'], 'c_0110_6' : d['c_0101_9']})} 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_12, c_0011_3, c_0011_5, c_0101_1, c_0101_10, c_0101_6, c_0101_7, c_0101_9, c_1001_10, c_1001_11, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 11660719532354588951457/27985862606608836490*c_1001_2^8 - 112580617721515274755493/27985862606608836490*c_1001_2^7 - 96365695395391922315701/5597172521321767298*c_1001_2^6 - 1388216341352329181680069/27985862606608836490*c_1001_2^5 - 1375588748100066450586468/13992931303304418245*c_1001_2^4 - 605075983875827191373543/5597172521321767298*c_1001_2^3 - 279670067644340718605585/2798586260660883649*c_1001_2^2 + 178384819343505064530210/2798586260660883649*c_1001_2 - 488982557991364006591169/13992931303304418245, c_0011_0 - 1, c_0011_10 + 56689760/6258597349*c_1001_2^8 + 518603536/6258597349*c_1001_2^7 + 2183846244/6258597349*c_1001_2^6 + 6829326122/6258597349*c_1001_2^5 + 14863063052/6258597349*c_1001_2^4 + 18085911076/6258597349*c_1001_2^3 + 19253144486/6258597349*c_1001_2^2 - 12991499896/6258597349*c_1001_2 - 819344422/6258597349, c_0011_12 - 69886472/6258597349*c_1001_2^8 - 704671532/6258597349*c_1001_2^7 - 3230796010/6258597349*c_1001_2^6 - 9934499951/6258597349*c_1001_2^5 - 20775646895/6258597349*c_1001_2^4 - 25139975577/6258597349*c_1001_2^3 - 21800239967/6258597349*c_1001_2^2 + 13085045107/6258597349*c_1001_2 + 3106526641/6258597349, c_0011_3 + 18058615/6258597349*c_1001_2^8 + 140534033/6258597349*c_1001_2^7 + 427210447/6258597349*c_1001_2^6 + 837245899/6258597349*c_1001_2^5 + 670989874/6258597349*c_1001_2^4 - 1805398688/6258597349*c_1001_2^3 - 712947435/6258597349*c_1001_2^2 - 2887219943/6258597349*c_1001_2 + 6114226826/6258597349, c_0011_5 + 37087444/6258597349*c_1001_2^8 + 355308045/6258597349*c_1001_2^7 + 1489424250/6258597349*c_1001_2^6 + 4137962645/6258597349*c_1001_2^5 + 7735373751/6258597349*c_1001_2^4 + 8204596817/6258597349*c_1001_2^3 + 9327346679/6258597349*c_1001_2^2 - 6801452488/6258597349*c_1001_2 + 3062507089/6258597349, c_0101_1 - 1, c_0101_10 - 1, c_0101_6 + 18058615/6258597349*c_1001_2^8 + 140534033/6258597349*c_1001_2^7 + 427210447/6258597349*c_1001_2^6 + 837245899/6258597349*c_1001_2^5 + 670989874/6258597349*c_1001_2^4 - 1805398688/6258597349*c_1001_2^3 - 712947435/6258597349*c_1001_2^2 - 9145817292/6258597349*c_1001_2 + 6114226826/6258597349, c_0101_7 + 43987004/6258597349*c_1001_2^8 + 409682156/6258597349*c_1001_2^7 + 1648293362/6258597349*c_1001_2^6 + 4364542592/6258597349*c_1001_2^5 + 7403106526/6258597349*c_1001_2^4 + 3954100970/6258597349*c_1001_2^3 + 836695935/6258597349*c_1001_2^2 - 11841480681/6258597349*c_1001_2 + 4272149699/6258597349, c_0101_9 + 2167612/6258597349*c_1001_2^8 + 9110932/6258597349*c_1001_2^7 - 48831995/6258597349*c_1001_2^6 - 464219755/6258597349*c_1001_2^5 - 1058929615/6258597349*c_1001_2^4 + 66683610/6258597349*c_1001_2^3 + 1423393109/6258597349*c_1001_2^2 + 5572786470/6258597349*c_1001_2 + 547734249/6258597349, c_1001_10 + 15830116/6258597349*c_1001_2^8 + 163320416/6258597349*c_1001_2^7 + 528863325/6258597349*c_1001_2^6 + 768486441/6258597349*c_1001_2^5 + 750611025/6258597349*c_1001_2^4 - 1243415894/6258597349*c_1001_2^3 - 911527851/6258597349*c_1001_2^2 + 5490383370/6258597349*c_1001_2 - 8240035487/6258597349, c_1001_11 - 18058615/6258597349*c_1001_2^8 - 140534033/6258597349*c_1001_2^7 - 427210447/6258597349*c_1001_2^6 - 837245899/6258597349*c_1001_2^5 - 670989874/6258597349*c_1001_2^4 + 1805398688/6258597349*c_1001_2^3 + 712947435/6258597349*c_1001_2^2 + 9145817292/6258597349*c_1001_2 - 6114226826/6258597349, c_1001_2^9 + 9*c_1001_2^8 + 35*c_1001_2^7 + 92*c_1001_2^6 + 158*c_1001_2^5 + 105*c_1001_2^4 + 70*c_1001_2^3 - 310*c_1001_2^2 + 184*c_1001_2 - 55 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB