Magma V2.19-8 Tue Aug 20 2013 16:18:18 on localhost [Seed = 105356078] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2514 geometric_solution 5.83477883 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435554628581 0.252596779364 2 0 3 0 0132 2310 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 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.846369041801 0.743789251424 1 4 3 5 0132 0132 3012 0132 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 -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 1.105031136192 1.084946347600 5 2 4 1 1023 1230 1023 0132 0 0 0 0 0 0 0 0 -1 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 0 1 0 -1 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 1.105031136192 1.084946347600 6 2 3 6 0132 0132 1023 3201 0 0 0 0 0 0 -1 1 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 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 0.299432848228 0.416650783325 5 3 2 5 3201 1023 0132 2310 0 0 0 0 0 1 0 -1 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 0 1 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 0.692161605102 0.626982901383 4 4 6 6 0132 2310 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.601714874264 1.890594039897 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : 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_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' : negation(d['1']), 's_0_6' : 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' : d['1'], 'c_1100_6' : d['c_0101_6'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 650648349544764174/60807592438702165*c_0101_6^12 + 293645908470016416/12161518487740433*c_0101_6^11 + 2455795375062708484/8686798919814595*c_0101_6^10 + 34636991253843813871/60807592438702165*c_0101_6^9 + 2811427704841910464/60807592438702165*c_0101_6^8 - 76393638237301247666/60807592438702165*c_0101_6^7 + 9442118414268343617/12161518487740433*c_0101_6^6 + 44606182304486226783/60807592438702165*c_0101_6^5 - 81931863649505775214/60807592438702165*c_0101_6^4 + 43545292904463898521/60807592438702165*c_0101_6^3 - 3645699310533724431/60807592438702165*c_0101_6^2 + 2941522580114269012/60807592438702165*c_0101_6 - 3004065801819124663/60807592438702165, c_0011_0 - 1, c_0011_1 - 779215822857/3814181743058*c_0101_6^12 + 1099869070977/3814181743058*c_0101_6^11 + 10851555255271/1907090871529*c_0101_6^10 + 29785863585958/1907090871529*c_0101_6^9 + 24233873933761/1907090871529*c_0101_6^8 - 32520282297799/1907090871529*c_0101_6^7 - 10128880502587/3814181743058*c_0101_6^6 + 30517072661169/1907090871529*c_0101_6^5 - 21702071097831/1907090871529*c_0101_6^4 - 1167102317194/1907090871529*c_0101_6^3 + 7184423914403/3814181743058*c_0101_6^2 + 4651671458209/1907090871529*c_0101_6 - 481303444567/3814181743058, c_0011_3 + 369835446898/1907090871529*c_0101_0*c_0101_6^12 - 978690261530/1907090871529*c_0101_0*c_0101_6^11 - 9602617149815/1907090871529*c_0101_0*c_0101_6^10 - 15614954625756/1907090871529*c_0101_0*c_0101_6^9 + 10355029877357/1907090871529*c_0101_0*c_0101_6^8 + 54817440812415/1907090871529*c_0101_0*c_0101_6^7 - 36863367885688/1907090871529*c_0101_0*c_0101_6^6 - 29391052697590/1907090871529*c_0101_0*c_0101_6^5 + 58619570452318/1907090871529*c_0101_0*c_0101_6^4 - 32581816477866/1907090871529*c_0101_0*c_0101_6^3 - 370122237855/1907090871529*c_0101_0*c_0101_6^2 + 2729141594665/1907090871529*c_0101_0*c_0101_6 + 1640756880236/1907090871529*c_0101_0, c_0101_0^2 + 779215822857/3814181743058*c_0101_6^12 - 1099869070977/3814181743058*c_0101_6^11 - 10851555255271/1907090871529*c_0101_6^10 - 29785863585958/1907090871529*c_0101_6^9 - 24233873933761/1907090871529*c_0101_6^8 + 32520282297799/1907090871529*c_0101_6^7 + 10128880502587/3814181743058*c_0101_6^6 - 30517072661169/1907090871529*c_0101_6^5 + 21702071097831/1907090871529*c_0101_6^4 + 1167102317194/1907090871529*c_0101_6^3 - 7184423914403/3814181743058*c_0101_6^2 - 4651671458209/1907090871529*c_0101_6 - 3332878298491/3814181743058, c_0101_1 - 72671542873/7628363486116*c_0101_6^12 + 95252301365/7628363486116*c_0101_6^11 + 517814737939/1907090871529*c_0101_6^10 + 1491665565614/1907090871529*c_0101_6^9 + 1866631412577/3814181743058*c_0101_6^8 - 7816598608699/3814181743058*c_0101_6^7 - 24963577749003/7628363486116*c_0101_6^6 - 3150056772613/1907090871529*c_0101_6^5 + 5169193556079/3814181743058*c_0101_6^4 - 1145824860831/3814181743058*c_0101_6^3 - 13726632729089/7628363486116*c_0101_6^2 + 3170332707153/1907090871529*c_0101_6 + 2544997576229/7628363486116, c_0101_3 - 2562327375039/7628363486116*c_0101_6^12 + 4556019796711/7628363486116*c_0101_6^11 + 17489689594959/1907090871529*c_0101_6^10 + 42359262242669/1907090871529*c_0101_6^9 + 45207479359943/3814181743058*c_0101_6^8 - 127362342153131/3814181743058*c_0101_6^7 + 83002466923755/7628363486116*c_0101_6^6 + 60285890226166/1907090871529*c_0101_6^5 - 115903345078189/3814181743058*c_0101_6^4 + 27934531256201/3814181743058*c_0101_6^3 + 36824259893869/7628363486116*c_0101_6^2 + 1495297564924/1907090871529*c_0101_6 - 5474315168901/7628363486116, c_0101_6^13 - 2*c_0101_6^12 - 27*c_0101_6^11 - 60*c_0101_6^10 - 18*c_0101_6^9 + 116*c_0101_6^8 - 43*c_0101_6^7 - 87*c_0101_6^6 + 110*c_0101_6^5 - 36*c_0101_6^4 - 13*c_0101_6^3 - c_0101_6^2 + 3*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB