Magma V2.19-8 Tue Aug 20 2013 23:42:14 on localhost [Seed = 1259154967] Type ? for help. Type -D to quit. Loading file "L13n1057__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n1057 geometric_solution 9.63908087 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 1 2 3 0132 3201 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 -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 0.287163610171 0.492257804898 0 1 0 1 0132 2310 2310 3201 0 0 0 0 0 -1 0 1 -1 0 0 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 1 0 0 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.148669922812 0.659746616268 4 5 6 0 0132 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 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 0.725553245302 0.686237265389 5 7 0 8 2310 0132 0132 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 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 0.725553245302 0.686237265389 2 9 7 7 0132 0132 1230 1302 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 -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 0.454340542943 0.798191078521 10 2 3 9 0132 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.365354913290 0.739868401870 8 9 9 2 1302 2310 3120 0132 0 0 0 1 0 0 0 0 -1 0 0 1 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 1 0 0 -1 0 0 0 0 -1 -10 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.961384642554 0.946246113726 10 3 4 4 1023 0132 2031 3012 0 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 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 0.454340542943 0.798191078521 10 6 3 10 3201 2031 0132 1302 0 0 1 0 0 -1 0 1 -1 0 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 1 -1 0 0 0 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.961384642554 0.946246113726 5 4 6 6 3201 0132 3120 3201 1 0 0 0 0 0 1 -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 0 1 -11 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.471662794503 0.520017696673 5 7 8 8 0132 1023 2031 2310 1 0 0 0 0 0 0 0 0 0 -1 1 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 -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 0 0 0 0.471662794503 0.520017696673 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_7'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_1001_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0110_9']), 'c_1001_9' : d['c_1001_4'], 'c_1001_8' : negation(d['c_0101_2']), 'c_1010_10' : d['c_0101_7'], 's_0_10' : negation(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' : d['1'], 's_2_1' : negation(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' : negation(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' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_6']), 'c_1100_8' : d['c_0101_10'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : negation(d['c_1001_4']), 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_10'], 'c_1100_3' : d['c_0101_10'], 'c_1100_2' : d['c_0101_10'], 'c_1100_10' : negation(d['c_0011_6']), 'c_1010_7' : negation(d['c_0101_0']), 'c_1010_6' : negation(d['c_0110_9']), 'c_1010_5' : negation(d['c_0110_9']), 'c_1010_4' : d['c_1001_4'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0101_0']), 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : d['c_0011_6'], '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'], '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' : negation(d['1']), 's_1_1' : 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_6']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_10'], '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' : negation(d['c_0011_10']), 'c_0011_2' : d['c_0011_10'], 'c_0110_10' : d['c_0101_5'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : negation(d['c_0101_5']), 'c_0011_10' : d['c_0011_10'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : negation(d['c_0101_7']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_5']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_7'], 'c_0110_6' : d['c_0101_2']})} 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_6, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_5, c_0101_7, c_0110_9, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 5805500066104227479035689203/5234201692789504016087201203904*c_0110\ _9^7 + 404829416840914194978810263663/20936806771158016064348804815\ 616*c_0110_9^6 - 345055906950939083485722533719/2093680677115801606\ 4348804815616*c_0110_9^5 - 816297241936603599177814324651/209368067\ 71158016064348804815616*c_0110_9^4 - 3077382098063174178488261730127/20936806771158016064348804815616*c_\ 0110_9^3 + 1105127534415531932796763224007/190334607010527418766807\ 3165056*c_0110_9^2 - 36907408930359749758670291615735/2093680677115\ 8016064348804815616*c_0110_9 + 86568042276200041425056047169281/209\ 36806771158016064348804815616, c_0011_0 - 1, c_0011_10 - 6366411617966820/2145554489202794977*c_0110_9^7 + 2164474979380265/2145554489202794977*c_0110_9^6 - 10144707417168904/2145554489202794977*c_0110_9^5 + 62189840959173120/2145554489202794977*c_0110_9^4 - 34010171934054320/2145554489202794977*c_0110_9^3 + 483556577424842515/2145554489202794977*c_0110_9^2 - 1330158117312360441/2145554489202794977*c_0110_9 - 68566969426520600/2145554489202794977, c_0011_6 - 9868200016772496/2145554489202794977*c_0110_9^7 + 3815118522776138/2145554489202794977*c_0110_9^6 + 58529238747626077/4291108978405589954*c_0110_9^5 + 39028777340540116/2145554489202794977*c_0110_9^4 - 339279401135141264/2145554489202794977*c_0110_9^3 + 1674110227060054095/4291108978405589954*c_0110_9^2 - 2828656270116461681/4291108978405589954*c_0110_9 - 2455000781898077979/4291108978405589954, c_0101_0 - 1723233921439688/2145554489202794977*c_0110_9^7 - 9441189998865966/2145554489202794977*c_0110_9^6 + 9928706561347744/2145554489202794977*c_0110_9^5 + 65685514075285440/2145554489202794977*c_0110_9^4 - 19044062405517215/2145554489202794977*c_0110_9^3 - 50336674116479570/2145554489202794977*c_0110_9^2 + 189599452866794804/2145554489202794977*c_0110_9 - 1260173385272256320/2145554489202794977, c_0101_1 + 11095785450969464/2145554489202794977*c_0110_9^7 + 87382413167730/2145554489202794977*c_0110_9^6 - 45263463143952992/2145554489202794977*c_0110_9^5 - 84093238713389151/2145554489202794977*c_0110_9^4 + 169534662326413425/2145554489202794977*c_0110_9^3 - 507064793211983174/2145554489202794977*c_0110_9^2 + 269423201557713012/2145554489202794977*c_0110_9 + 1558283173809327202/2145554489202794977, c_0101_10 + 4520896139583376/2145554489202794977*c_0110_9^7 + 5709706103619612/2145554489202794977*c_0110_9^6 - 22482758871843296/2145554489202794977*c_0110_9^5 - 42429660548053724/2145554489202794977*c_0110_9^4 + 55423372845610240/2145554489202794977*c_0110_9^3 + 366553613938887464/2145554489202794977*c_0110_9^2 + 2186550731323936159/2145554489202794977*c_0110_9 + 1567024058666636084/2145554489202794977, c_0101_2 + 8089645539406508/2145554489202794977*c_0110_9^7 + 7276715019485701/2145554489202794977*c_0110_9^6 + 216000855821160/2145554489202794977*c_0110_9^5 - 127875355034458560/2145554489202794977*c_0110_9^4 + 53054234339571535/2145554489202794977*c_0110_9^3 - 433219903308362945/2145554489202794977*c_0110_9^2 + 1140558664445565637/2145554489202794977*c_0110_9 + 1328740354698776920/2145554489202794977, c_0101_5 + c_0110_9, c_0101_7 - 1, c_0110_9^8 + 1/28*c_0110_9^7 - 39/14*c_0110_9^6 - 72/7*c_0110_9^5 + 120/7*c_0110_9^4 - 60*c_0110_9^3 + 1136/7*c_0110_9^2 + 1241/7*c_0110_9 + 5977/28, c_1001_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB