back to table · edit · history · where entries came from · files · download
3327 bytes, as of the version from 2026-11-09 18:56 (current). Recorded here, not run.
[
{
"comment": "This is the even period polynomial of HREF{Q-expansion_of_the_modular_discriminant}[the modular discriminant $\\Delta$] CITE{JMOS}, Example 1.",
"params": {
"N": "1",
"k": "12",
"i": "1"
},
"number": "36*X^10 - 691*X^8 + 2073*X^6 - 2073*X^4 + 691*X^2 - 36"
},
{
"params": {
"N": "1",
"k": "16",
"i": "1"
},
"number": "360*X^14 - 7234*X^12 + 25319*X^10 - 39787*X^8 + 39787*X^6 - 25319*X^4 + 7234*X^2 - 360"
},
{
"params": {
"N": "1",
"k": "18",
"i": "1"
},
"number": "18000*X^16 - 350936*X^14 + 1096675*X^12 - 1140542*X^10 + 1140542*X^6 - 1096675*X^4 + 350936*X^2 - 18000"
},
{
"params": {
"N": "1",
"k": "20",
"i": "1"
},
"number": "26460*X^18 - 523833*X^16 + 1746110*X^14 - 2444554*X^12 + 2269943*X^10 - 2269943*X^8 + 2444554*X^6 - 1746110*X^4 + 523833*X^2 - 26460"
},
{
"params": {
"N": "1",
"k": "22",
"i": "1"
},
"number": "126000*X^20 - 2485856*X^18 + 8156715*X^16 - 10564888*X^14 + 6603055*X^12 - 6603055*X^8 + 10564888*X^6 - 8156715*X^4 + 2485856*X^2 - 126000"
},
{
"params": {
"N": "1",
"k": "26",
"i": "1"
},
"number": "34398000*X^24 - 678984792*X^22 + 2233675745*X^20 - 2938319846*X^18 + 2062613685*X^16 - 850046852*X^14 + 850046852*X^10 - 2062613685*X^8 + 2938319846*X^6 - 2233675745*X^4 + 678984792*X^2 - 34398000"
},
{
"params": {
"N": "3",
"k": "12",
"i": "1"
},
"number": "2430*X^10 - 5913*X^8 + 3066*X^6 - 1022*X^4 + 219*X^2 - 10"
},
{
"params": {
"N": "4",
"k": "12",
"i": "1"
},
"number": "5120*X^10 - 6144*X^8 + 896*X^6 + 224*X^4 - 96*X^2 + 5"
},
{
"params": {
"N": "5",
"k": "12",
"i": "2"
},
"number": "131250*X^10 - 104625*X^8 + 10850*X^6 + 2170*X^4 - 837*X^2 + 42"
},
{
"params": {
"N": "6",
"k": "12",
"i": "1"
},
"number": "31104*X^10 - 16200*X^8 + 1350*X^6 - 225*X^4 + 75*X^2 - 4"
},
{
"params": {
"N": "6",
"k": "12",
"i": "2"
},
"number": "272160*X^10 - 143208*X^8 + 9828*X^6 + 1638*X^4 - 663*X^2 + 35"
},
{
"params": {
"N": "6",
"k": "12",
"i": "3"
},
"number": "7776*X^10 - 4536*X^8 + 588*X^6 - 98*X^4 + 21*X^2 - 1"
},
{
"params": {
"N": "8",
"k": "12",
"i": "2"
},
"number": "1081344*X^10 - 331776*X^8 + 14336*X^6 + 1792*X^4 - 648*X^2 + 33"
},
{
"params": {
"N": "9",
"k": "12",
"i": "1"
},
"number": "590490*X^10 - 129033*X^8 + 3402*X^6 + 378*X^4 - 177*X^2 + 10"
},
{
"params": {
"N": "9",
"k": "12",
"i": "3"
},
"number": "236196*X^10 - 59049*X^8 + 2187*X^6 + 243*X^4 - 81*X^2 + 4"
},
{
"params": {
"N": "10",
"k": "12",
"i": "1"
},
"number": "5900000*X^10 - 1113000*X^8 + 28700*X^6 + 2870*X^4 - 1113*X^2 + 59"
},
{
"params": {
"N": "10",
"k": "12",
"i": "2"
},
"number": "600000*X^10 - 117000*X^8 + 4550*X^6 - 455*X^4 + 117*X^2 - 6"
},
{
"params": {
"N": "10",
"k": "12",
"i": "3"
},
"number": "1400000*X^10 - 285000*X^8 + 8750*X^6 + 875*X^4 - 285*X^2 + 14"
}
]