Magma V2.19-8 Tue Aug 20 2013 23:39:31 on localhost [Seed = 4088764341] Type ? for help. Type -D to quit. Loading file "K13n835__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n835 geometric_solution 10.03044330 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 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 1 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 0.708402818456 0.779700462675 0 5 7 6 0132 0132 0132 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 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.200290701465 0.933034057174 6 0 3 8 0321 0132 3201 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 -1 0 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.083965406377 1.461814820268 2 9 5 0 2310 0132 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 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 0.165358311953 0.611416337037 5 8 0 9 2103 0132 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 -1 0 1 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 0.695197102866 0.905229742993 10 1 4 3 0132 0132 2103 3012 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 -1 1 0 0 1 -1 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.334087067258 0.992200378917 2 8 1 10 0321 1023 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 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 -1 0 0 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.596411388016 1.253888838351 10 8 9 1 3120 0321 2103 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 -0.167226703788 0.520386516505 6 4 2 7 1023 0132 0132 0321 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 0 0 0 0 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.136408123160 0.539644547340 7 3 4 10 2103 0132 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.312042443531 0.767532990060 5 6 9 7 0132 0321 2031 3120 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 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 0.690648970392 0.650376251949 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0110_9']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_7'], 'c_1001_2' : negation(d['c_0101_3']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : negation(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_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0101_10'], 'c_0011_10' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : negation(d['c_0110_9']), 'c_1100_6' : negation(d['c_0110_9']), 'c_1100_1' : negation(d['c_0110_9']), 'c_1100_0' : d['c_0101_10'], 'c_1100_3' : d['c_0101_10'], 'c_1100_2' : negation(d['c_0011_3']), 'c_1100_10' : negation(d['c_0101_7']), 'c_1010_7' : negation(d['c_0101_3']), 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : negation(d['c_0101_3']), '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_4'], 'c_1010_0' : negation(d['c_0101_3']), 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : negation(d['c_0101_3']), 'c_1100_8' : negation(d['c_0011_3']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(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' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_4']), '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_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0011_4'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : negation(d['c_0011_7']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_0']})} 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_3, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_7, c_0110_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 10301876012391215/5974933517004416*c_0110_9^11 - 1416556426258906339/83649069238061824*c_0110_9^10 + 316519511677445429/5228066827378864*c_0110_9^9 - 3765382555692637641/20912267309515456*c_0110_9^8 + 151592805188898597/5228066827378864*c_0110_9^7 - 9930783185583429163/20912267309515456*c_0110_9^6 - 4755116823573646409/10456133654757728*c_0110_9^5 - 19032015070804577529/41824534619030912*c_0110_9^4 - 40226530281042458117/41824534619030912*c_0110_9^3 - 49296546870253239297/83649069238061824*c_0110_9^2 - 810960968359622249/5228066827378864*c_0110_9 + 207087151236059323/2460266742295936, c_0011_0 - 1, c_0011_3 + 11324012939/4749549695552*c_0110_9^11 - 87993892675/4749549695552*c_0110_9^10 + 18062440413/593693711944*c_0110_9^9 - 3645249857/148423427986*c_0110_9^8 - 198484124263/296846855972*c_0110_9^7 + 56090508919/1187387423888*c_0110_9^6 - 5522912971543/2374774847776*c_0110_9^5 - 25439118987/2374774847776*c_0110_9^4 - 8632895874755/4749549695552*c_0110_9^3 - 8848496532625/4749549695552*c_0110_9^2 + 667726019863/2374774847776*c_0110_9 + 1265354979863/2374774847776, c_0011_4 + 17958579389/4749549695552*c_0110_9^11 - 193865084631/4749549695552*c_0110_9^10 + 201483325709/1187387423888*c_0110_9^9 - 628420665005/1187387423888*c_0110_9^8 + 530536213871/1187387423888*c_0110_9^7 - 78460963649/74211713993*c_0110_9^6 - 837100733951/2374774847776*c_0110_9^5 + 393434213143/2374774847776*c_0110_9^4 - 8894762393441/4749549695552*c_0110_9^3 + 6095710562671/4749549695552*c_0110_9^2 + 541008620665/2374774847776*c_0110_9 + 774125702007/2374774847776, c_0011_7 + 7039472351/2374774847776*c_0110_9^11 - 59006293009/2374774847776*c_0110_9^10 + 4495952985/74211713993*c_0110_9^9 - 42742142253/296846855972*c_0110_9^8 - 67710603291/148423427986*c_0110_9^7 - 320619321585/593693711944*c_0110_9^6 - 2502553576291/1187387423888*c_0110_9^5 - 1424188635725/1187387423888*c_0110_9^4 - 5011651917895/2374774847776*c_0110_9^3 - 7768105097251/2374774847776*c_0110_9^2 - 53498733441/1187387423888*c_0110_9 - 1020033447651/1187387423888, c_0101_0 - 21357786617/4749549695552*c_0110_9^11 + 213904857691/4749549695552*c_0110_9^10 - 98665880491/593693711944*c_0110_9^9 + 74299126129/148423427986*c_0110_9^8 - 55618707047/296846855972*c_0110_9^7 + 1587805016895/1187387423888*c_0110_9^6 + 1490254130041/2374774847776*c_0110_9^5 + 2233181525451/2374774847776*c_0110_9^4 + 7845203865585/4749549695552*c_0110_9^3 + 733586215921/4749549695552*c_0110_9^2 - 710742240961/2374774847776*c_0110_9 - 1770301174063/2374774847776, c_0101_1 - 4451238633/2374774847776*c_0110_9^11 + 56879398433/2374774847776*c_0110_9^10 - 145999255555/1187387423888*c_0110_9^9 + 496588992341/1187387423888*c_0110_9^8 - 853582212607/1187387423888*c_0110_9^7 + 1124842965427/1187387423888*c_0110_9^6 - 740891600925/593693711944*c_0110_9^5 - 37209740183/593693711944*c_0110_9^4 - 138290314001/2374774847776*c_0110_9^3 - 4314976917487/2374774847776*c_0110_9^2 + 300822852753/1187387423888*c_0110_9 + 177495297173/1187387423888, c_0101_10 - 5301549081/4749549695552*c_0110_9^11 + 27118339305/4749549695552*c_0110_9^10 + 9914372733/593693711944*c_0110_9^9 - 67202140985/593693711944*c_0110_9^8 + 210434316675/296846855972*c_0110_9^7 - 373535652263/1187387423888*c_0110_9^6 + 4867492567949/2374774847776*c_0110_9^5 + 1583369686237/2374774847776*c_0110_9^4 + 8678189029153/4749549695552*c_0110_9^3 + 14029738382747/4749549695552*c_0110_9^2 + 1081705817731/2374774847776*c_0110_9 + 730634789779/2374774847776, c_0101_3 - 23929719315/4749549695552*c_0110_9^11 + 241542134327/4749549695552*c_0110_9^10 - 14280436753/74211713993*c_0110_9^9 + 352406192065/593693711944*c_0110_9^8 - 170409803115/593693711944*c_0110_9^7 + 1836527694183/1187387423888*c_0110_9^6 + 2858063650107/2374774847776*c_0110_9^5 + 2195809713779/2374774847776*c_0110_9^4 + 17182955526291/4749549695552*c_0110_9^3 + 3062038843653/4749549695552*c_0110_9^2 + 2059972506321/2374774847776*c_0110_9 + 1374361274557/2374774847776, c_0101_7 - 4451238633/2374774847776*c_0110_9^11 + 56879398433/2374774847776*c_0110_9^10 - 145999255555/1187387423888*c_0110_9^9 + 496588992341/1187387423888*c_0110_9^8 - 853582212607/1187387423888*c_0110_9^7 + 1124842965427/1187387423888*c_0110_9^6 - 740891600925/593693711944*c_0110_9^5 - 37209740183/593693711944*c_0110_9^4 - 138290314001/2374774847776*c_0110_9^3 - 4314976917487/2374774847776*c_0110_9^2 + 300822852753/1187387423888*c_0110_9 + 177495297173/1187387423888, c_0110_9^12 - 10*c_0110_9^11 + 37*c_0110_9^10 - 112*c_0110_9^9 + 40*c_0110_9^8 - 292*c_0110_9^7 - 214*c_0110_9^6 - 256*c_0110_9^5 - 551*c_0110_9^4 - 290*c_0110_9^3 - 111*c_0110_9^2 - 34, c_1001_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.250 Total time: 0.460 seconds, Total memory usage: 32.09MB