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Display properties: number-header: $\zeta_K(s)$-Numbers: []+Numbers:+- params:+ D: '49'+ k: '1'+ s: '-1'+ number: -1/21+ comment: $x^3-x^2-2x+1=0$; $C_3$, conductor $7$; $h_K=1$; $K=\mathbb{Q}(\zeta_7)^+$+- params:+ D: '49'+ k: '1'+ s: '-3'+ number: 79/210+ comment: $x^3-x^2-2x+1=0$; $C_3$, conductor $7$; $h_K=1$; $K=\mathbb{Q}(\zeta_7)^+$+- params:+ D: '49'+ k: '1'+ s: '-5'+ number: -7393/63+ comment: $x^3-x^2-2x+1=0$; $C_3$, conductor $7$; $h_K=1$; $K=\mathbb{Q}(\zeta_7)^+$+- params:+ D: '81'+ k: '1'+ s: '-1'+ number: -1/9+ comment: $x^3-3x-1=0$; $C_3$, conductor $9$; $h_K=1$; $K=\mathbb{Q}(\zeta_9)^+$+- params:+ D: '81'+ k: '1'+ s: '-3'+ number: 199/90+ comment: $x^3-3x-1=0$; $C_3$, conductor $9$; $h_K=1$; $K=\mathbb{Q}(\zeta_9)^+$+- params:+ D: '81'+ k: '1'+ s: '-5'+ number: -50353/27+ comment: $x^3-3x-1=0$; $C_3$, conductor $9$; $h_K=1$; $K=\mathbb{Q}(\zeta_9)^+$+- params:+ D: '148'+ k: '1'+ s: '-1'+ number: -1/3+ comment: $x^3-x^2-3x+1=0$; $S_3$; $h_K=1$+- params:+ D: '148'+ k: '1'+ s: '-3'+ number: 577/30+ comment: $x^3-x^2-3x+1=0$; $S_3$; $h_K=1$+- params:+ D: '148'+ k: '1'+ s: '-5'+ number: -3281281/63+ comment: $x^3-x^2-3x+1=0$; $S_3$; $h_K=1$+- params:+ D: '169'+ k: '1'+ s: '-1'+ number: -1/3+ comment: $x^3-x^2-4x-1=0$; $C_3$, conductor $13$; $h_K=1$; the cubic subfield of+ $\mathbb{Q}(\zeta_{13})$+- params:+ D: '169'+ k: '1'+ s: '-3'+ number: 11227/390+ comment: $x^3-x^2-4x-1=0$; $C_3$, conductor $13$; $h_K=1$; the cubic subfield of+ $\mathbb{Q}(\zeta_{13})$+- params:+ D: '169'+ k: '1'+ s: '-5'+ number: -6701911/63+ comment: $x^3-x^2-4x-1=0$; $C_3$, conductor $13$; $h_K=1$; the cubic subfield of+ $\mathbb{Q}(\zeta_{13})$+- params:+ D: '229'+ k: '1'+ s: '-1'+ number: -2/3+ comment: $x^3-4x-1=0$; $S_3$; $h_K=1$+- params:+ D: '229'+ k: '1'+ s: '-3'+ number: 1333/15+ comment: $x^3-4x-1=0$; $S_3$; $h_K=1$+- params:+ D: '229'+ k: '1'+ s: '-5'+ number: -36206042/63+ comment: $x^3-4x-1=0$; $S_3$; $h_K=1$+- params:+ D: '257'+ k: '1'+ s: '-1'+ number: -2/3+ comment: $x^3-x^2-4x+3=0$; $S_3$; $h_K=1$+- params:+ D: '257'+ k: '1'+ s: '-3'+ number: 1891/15+ comment: $x^3-x^2-4x+3=0$; $S_3$; $h_K=1$+- params:+ D: '257'+ k: '1'+ s: '-5'+ number: -67297502/63+ comment: $x^3-x^2-4x+3=0$; $S_3$; $h_K=1$+- params:+ D: '316'+ k: '1'+ s: '-1'+ number: -4/3+ comment: $x^3-x^2-4x+2=0$; $S_3$; $h_K=1$+- params:+ D: '316'+ k: '1'+ s: '-3'+ number: 874/3+ comment: $x^3-x^2-4x+2=0$; $S_3$; $h_K=1$+- params:+ D: '316'+ k: '1'+ s: '-5'+ number: -216119884/63+ comment: $x^3-x^2-4x+2=0$; $S_3$; $h_K=1$+- params:+ D: '321'+ k: '1'+ s: '-1'+ number: '-1'+ comment: $x^3-x^2-4x+1=0$; $S_3$; $h_K=1$+- params:+ D: '321'+ k: '1'+ s: '-3'+ number: 555/2+ comment: $x^3-x^2-4x+1=0$; $S_3$; $h_K=1$+- params:+ D: '321'+ k: '1'+ s: '-5'+ number: -76311671/21+ comment: $x^3-x^2-4x+1=0$; $S_3$; $h_K=1$+- params:+ D: '361'+ k: '1'+ s: '-1'+ number: '-1'+ comment: $x^3-x^2-6x+7=0$; $C_3$, conductor $19$; $h_K=1$; the cubic subfield of+ $\mathbb{Q}(\zeta_{19})$+- params:+ D: '361'+ k: '1'+ s: '-3'+ number: 4087/10+ comment: $x^3-x^2-6x+7=0$; $C_3$, conductor $19$; $h_K=1$; the cubic subfield of+ $\mathbb{Q}(\zeta_{19})$+- params:+ D: '361'+ k: '1'+ s: '-5'+ number: -2758494229/399+ comment: $x^3-x^2-6x+7=0$; $C_3$, conductor $19$; $h_K=1$; the cubic subfield of+ $\mathbb{Q}(\zeta_{19})$+- params:+ D: '404'+ k: '1'+ s: '-1'+ number: -5/3+ comment: $x^3-x^2-5x-1=0$; $S_3$; $h_K=1$+- params:+ D: '404'+ k: '1'+ s: '-3'+ number: 19613/30+ comment: $x^3-x^2-5x-1=0$; $S_3$; $h_K=1$+- params:+ D: '404'+ k: '1'+ s: '-5'+ number: -822762485/63+ comment: $x^3-x^2-5x-1=0$; $S_3$; $h_K=1$+- params:+ D: '469'+ k: '1'+ s: '-1'+ number: '-2'+ comment: $x^3-x^2-5x+4=0$; $S_3$; $h_K=1$+- params:+ D: '469'+ k: '1'+ s: '-3'+ number: '1093'+ comment: $x^3-x^2-5x+4=0$; $S_3$; $h_K=1$+- params:+ D: '469'+ k: '1'+ s: '-5'+ number: -207442574/7+ comment: $x^3-x^2-5x+4=0$; $S_3$; $h_K=1$+- params:+ D: '473'+ k: '1'+ s: '-1'+ number: -5/3+ comment: $x^3-5x-1=0$; $S_3$; $h_K=1$+- params:+ D: '473'+ k: '1'+ s: '-3'+ number: 31979/30+ comment: $x^3-5x-1=0$; $S_3$; $h_K=1$+- params:+ D: '473'+ k: '1'+ s: '-5'+ number: -1927968515/63+ comment: $x^3-5x-1=0$; $S_3$; $h_K=1$+- params:+ D: '564'+ k: '1'+ s: '-1'+ number: '-3'+ comment: $x^3-x^2-5x+3=0$; $S_3$; $h_K=1$+- params:+ D: '564'+ k: '1'+ s: '-3'+ number: 21267/10+ comment: $x^3-x^2-5x+3=0$; $S_3$; $h_K=1$+- params:+ D: '564'+ k: '1'+ s: '-5'+ number: '-81933783'+ comment: $x^3-x^2-5x+3=0$; $S_3$; $h_K=1$+- params:+ D: '568'+ k: '1'+ s: '-1'+ number: -10/3+ comment: $x^3-x^2-6x-2=0$; $S_3$; $h_K=1$+- params:+ D: '568'+ k: '1'+ s: '-3'+ number: 34079/15+ comment: $x^3-x^2-6x-2=0$; $S_3$; $h_K=1$+- params:+ D: '568'+ k: '1'+ s: '-5'+ number: -776714410/9+ comment: $x^3-x^2-6x-2=0$; $S_3$; $h_K=1$+- params:+ D: '621'+ k: '1'+ s: '-1'+ number: -10/3+ comment: $x^3-6x-3=0$; $S_3$; $h_K=1$+- params:+ D: '621'+ k: '1'+ s: '-3'+ number: 44321/15+ comment: $x^3-6x-3=0$; $S_3$; $h_K=1$+- params:+ D: '621'+ k: '1'+ s: '-5'+ number: -8755597090/63+ comment: $x^3-6x-3=0$; $S_3$; $h_K=1$+- params:+ D: '697'+ k: '1'+ s: '-1'+ number: -8/3+ comment: $x^3-7x-5=0$; $S_3$; $h_K=1$+- params:+ D: '697'+ k: '1'+ s: '-3'+ number: 61336/15+ comment: $x^3-7x-5=0$; $S_3$; $h_K=1$+- params:+ D: '697'+ k: '1'+ s: '-5'+ number: -16238550248/63+ comment: $x^3-7x-5=0$; $S_3$; $h_K=1$+- params:+ D: '733'+ k: '1'+ s: '-1'+ number: '-4'+ comment: $x^3-x^2-7x+8=0$; $S_3$; $h_K=1$+- params:+ D: '733'+ k: '1'+ s: '-3'+ number: 26114/5+ comment: $x^3-x^2-7x+8=0$; $S_3$; $h_K=1$+- params:+ D: '733'+ k: '1'+ s: '-5'+ number: -7255453204/21+ comment: $x^3-x^2-7x+8=0$; $S_3$; $h_K=1$+- params:+ D: '756'+ k: '1'+ s: '-1'+ number: -13/3+ comment: $x^3-6x-2=0$; $S_3$; $h_K=1$+- params:+ D: '756'+ k: '1'+ s: '-3'+ number: 175861/30+ comment: $x^3-6x-2=0$; $S_3$; $h_K=1$+- params:+ D: '756'+ k: '1'+ s: '-5'+ number: -25825564573/63+ comment: $x^3-6x-2=0$; $S_3$; $h_K=1$+- params:+ D: '761'+ k: '1'+ s: '-1'+ number: -10/3+ comment: $x^3-x^2-6x-1=0$; $S_3$; $h_K=1$+- params:+ D: '761'+ k: '1'+ s: '-3'+ number: 84359/15+ comment: $x^3-x^2-6x-1=0$; $S_3$; $h_K=1$+- params:+ D: '761'+ k: '1'+ s: '-5'+ number: -26360578870/63+ comment: $x^3-x^2-6x-1=0$; $S_3$; $h_K=1$+- params:+ D: '785'+ k: '1'+ s: '-1'+ number: -11/3+ comment: $x^3-x^2-6x+5=0$; $S_3$; $h_K=1$+- params:+ D: '785'+ k: '1'+ s: '-3'+ number: 188597/30+ comment: $x^3-x^2-6x+5=0$; $S_3$; $h_K=1$+- params:+ D: '785'+ k: '1'+ s: '-5'+ number: -31273327181/63+ comment: $x^3-x^2-6x+5=0$; $S_3$; $h_K=1$+- params:+ D: '788'+ k: '1'+ s: '-1'+ number: -14/3+ comment: $x^3-x^2-7x-3=0$; $S_3$; $h_K=1$+- params:+ D: '788'+ k: '1'+ s: '-3'+ number: 20351/3+ comment: $x^3-x^2-7x-3=0$; $S_3$; $h_K=1$+- params:+ D: '788'+ k: '1'+ s: '-5'+ number: -32441085854/63+ comment: $x^3-x^2-7x-3=0$; $S_3$; $h_K=1$+- params:+ D: '837'+ k: '1'+ s: '-1'+ number: -16/3+ comment: $x^3-6x-1=0$; $S_3$; $h_K=1$+- params:+ D: '837'+ k: '1'+ s: '-3'+ number: 25228/3+ comment: $x^3-6x-1=0$; $S_3$; $h_K=1$+- params:+ D: '837'+ k: '1'+ s: '-5'+ number: -45216419296/63+ comment: $x^3-6x-1=0$; $S_3$; $h_K=1$+- params:+ D: '892'+ k: '1'+ s: '-1'+ number: -20/3+ comment: $x^3-x^2-8x+10=0$; $S_3$; $h_K=1$+- params:+ D: '892'+ k: '1'+ s: '-3'+ number: 165466/15+ comment: $x^3-x^2-8x+10=0$; $S_3$; $h_K=1$+- params:+ D: '892'+ k: '1'+ s: '-5'+ number: -65080934780/63+ comment: $x^3-x^2-8x+10=0$; $S_3$; $h_K=1$+- params:+ D: '940'+ k: '1'+ s: '-1'+ number: -22/3+ comment: $x^3-7x-4=0$; $S_3$; $h_K=1$+- params:+ D: '940'+ k: '1'+ s: '-3'+ number: 199013/15+ comment: $x^3-7x-4=0$; $S_3$; $h_K=1$+- params:+ D: '940'+ k: '1'+ s: '-5'+ number: -86830900042/63+ comment: $x^3-7x-4=0$; $S_3$; $h_K=1$+- params:+ D: '961'+ k: '1'+ s: '-1'+ number: -28/3+ comment: $x^3-x^2-10x+8=0$; $C_3$, conductor $31$; $h_K=1$; the cubic subfield of+ $\mathbb{Q}(\zeta_{31})$+- params:+ D: '961'+ k: '1'+ s: '-3'+ number: 228614/15+ comment: $x^3-x^2-10x+8=0$; $C_3$, conductor $31$; $h_K=1$; the cubic subfield of+ $\mathbb{Q}(\zeta_{31})$+- params:+ D: '961'+ k: '1'+ s: '-5'+ number: -99594088828/63+ comment: $x^3-x^2-10x+8=0$; $C_3$, conductor $31$; $h_K=1$; the cubic subfield of+ $\mathbb{Q}(\zeta_{31})$+- params:+ D: '985'+ k: '1'+ s: '-1'+ number: -14/3+ comment: $x^3-x^2-6x+1=0$; $S_3$; $h_K=1$+- params:+ D: '985'+ k: '1'+ s: '-3'+ number: 206173/15+ comment: $x^3-x^2-6x+1=0$; $S_3$; $h_K=1$+- params:+ D: '985'+ k: '1'+ s: '-5'+ number: -108817102514/63+ comment: $x^3-x^2-6x+1=0$; $S_3$; $h_K=1$+- params:+ D: '993'+ k: '1'+ s: '-1'+ number: -17/3+ comment: $x^3-x^2-6x+3=0$; $S_3$; $h_K=1$+- params:+ D: '993'+ k: '1'+ s: '-3'+ number: 86827/6+ comment: $x^3-x^2-6x+3=0$; $S_3$; $h_K=1$+- params:+ D: '993'+ k: '1'+ s: '-5'+ number: -16296150401/9+ comment: $x^3-x^2-6x+3=0$; $S_3$; $h_K=1$+- params:+ D: '1016'+ k: '1'+ s: '-1'+ number: -26/3+ comment: $x^3-x^2-6x+2=0$; $S_3$; $h_K=1$+- params:+ D: '1016'+ k: '1'+ s: '-3'+ number: 263719/15+ comment: $x^3-x^2-6x+2=0$; $S_3$; $h_K=1$+- params:+ D: '1016'+ k: '1'+ s: '-5'+ number: -133330020566/63+ comment: $x^3-x^2-6x+2=0$; $S_3$; $h_K=1$+- params:+ D: '1076'+ k: '1'+ s: '-1'+ number: -22/3+ comment: $x^3-8x-6=0$; $S_3$; $h_K=1$+- params:+ D: '1076'+ k: '1'+ s: '-3'+ number: 60475/3+ comment: $x^3-8x-6=0$; $S_3$; $h_K=1$+- params:+ D: '1076'+ k: '1'+ s: '-5'+ number: -25706708746/9+ comment: $x^3-8x-6=0$; $S_3$; $h_K=1$+- params:+ D: '1101'+ k: '1'+ s: '-1'+ number: -26/3+ comment: $x^3-x^2-9x+12=0$; $S_3$; $h_K=1$+- params:+ D: '1101'+ k: '1'+ s: '-3'+ number: 332857/15+ comment: $x^3-x^2-9x+12=0$; $S_3$; $h_K=1$+- params:+ D: '1101'+ k: '1'+ s: '-5'+ number: -204505351346/63+ comment: $x^3-x^2-9x+12=0$; $S_3$; $h_K=1$+- params:+ D: '1129'+ k: '1'+ s: '-1'+ number: -22/3+ comment: $x^3-7x-3=0$; $S_3$; $h_K=1$+- params:+ D: '1129'+ k: '1'+ s: '-3'+ number: 343757/15+ comment: $x^3-7x-3=0$; $S_3$; $h_K=1$+- params:+ D: '1129'+ k: '1'+ s: '-5'+ number: -231389577082/63+ comment: $x^3-7x-3=0$; $S_3$; $h_K=1$+- params:+ D: '1229'+ k: '1'+ s: '-1'+ number: -28/3+ comment: $x^3-x^2-7x+6=0$; $S_3$; $h_K=1$+- params:+ D: '1229'+ k: '1'+ s: '-3'+ number: 96646/3+ comment: $x^3-x^2-7x+6=0$; $S_3$; $h_K=1$+- params:+ D: '1229'+ k: '1'+ s: '-5'+ number: -373951086028/63+ comment: $x^3-x^2-7x+6=0$; $S_3$; $h_K=1$+- params:+ D: '1257'+ k: '1'+ s: '-1'+ number: '-8'+ comment: $x^3-x^2-8x+9=0$; $S_3$; $h_K=1$+- params:+ D: '1257'+ k: '1'+ s: '-3'+ number: 165072/5+ comment: $x^3-x^2-8x+9=0$; $S_3$; $h_K=1$+- params:+ D: '1257'+ k: '1'+ s: '-5'+ number: -139053348808/21+ comment: $x^3-x^2-8x+9=0$; $S_3$; $h_K=1$+- params:+ D: '1300'+ k: '1'+ s: '-1'+ number: '-9'+ comment: $x^3-10x-10=0$; $S_3$; $h_K=1$+- params:+ D: '1300'+ k: '1'+ s: '-3'+ number: 386521/10+ comment: $x^3-10x-10=0$; $S_3$; $h_K=1$+- params:+ D: '1300'+ k: '1'+ s: '-5'+ number: -169502156969/21+ comment: $x^3-10x-10=0$; $S_3$; $h_K=1$+- params:+ D: '1304'+ k: '1'+ s: '-1'+ number: -38/3+ comment: $x^3-11x-2=0$; $S_3$; $h_K=1$+- params:+ D: '1304'+ k: '1'+ s: '-3'+ number: 631693/15+ comment: $x^3-11x-2=0$; $S_3$; $h_K=1$+- params:+ D: '1304'+ k: '1'+ s: '-5'+ number: -526065092858/63+ comment: $x^3-11x-2=0$; $S_3$; $h_K=1$+- params:+ D: '1345'+ k: '1'+ s: '-1'+ number: -23/3+ comment: $x^3-7x-1=0$; $S_3$; $h_K=1$+- params:+ D: '1345'+ k: '1'+ s: '-3'+ number: 1227713/30+ comment: $x^3-7x-1=0$; $S_3$; $h_K=1$+- params:+ D: '1345'+ k: '1'+ s: '-5'+ number: -86234211239/9+ comment: $x^3-7x-1=0$; $S_3$; $h_K=1$+- params:+ D: '1369'+ k: '1'+ s: '-1'+ number: '-7'+ comment: $x^3-x^2-12x-11=0$; $C_3$, conductor $37$; $h_K=1$; the cubic subfield+ of $\mathbb{Q}(\zeta_{37})$+- params:+ D: '1369'+ k: '1'+ s: '-3'+ number: 433513/10+ comment: $x^3-x^2-12x-11=0$; $C_3$, conductor $37$; $h_K=1$; the cubic subfield+ of $\mathbb{Q}(\zeta_{37})$+- params:+ D: '1369'+ k: '1'+ s: '-5'+ number: -221736281617/21+ comment: $x^3-x^2-12x-11=0$; $C_3$, conductor $37$; $h_K=1$; the cubic subfield+ of $\mathbb{Q}(\zeta_{37})$+- params:+ D: '1373'+ k: '1'+ s: '-1'+ number: -34/3+ comment: $x^3-8x-5=0$; $S_3$; $h_K=1$+- params:+ D: '1373'+ k: '1'+ s: '-3'+ number: 142645/3+ comment: $x^3-8x-5=0$; $S_3$; $h_K=1$+- params:+ D: '1373'+ k: '1'+ s: '-5'+ number: -98264552422/9+ comment: $x^3-8x-5=0$; $S_3$; $h_K=1$+- params:+ D: '1384'+ k: '1'+ s: '-1'+ number: -38/3+ comment: $x^3-x^2-10x+14=0$; $S_3$; $h_K=1$+- params:+ D: '1384'+ k: '1'+ s: '-3'+ number: 768781/15+ comment: $x^3-x^2-10x+14=0$; $S_3$; $h_K=1$+- params:+ D: '1384'+ k: '1'+ s: '-5'+ number: -728900966138/63+ comment: $x^3-x^2-10x+14=0$; $S_3$; $h_K=1$+- params:+ D: '1396'+ k: '1'+ s: '-1'+ number: -32/3+ comment: $x^3-x^2-7x+5=0$; $S_3$; $h_K=1$+- params:+ D: '1396'+ k: '1'+ s: '-3'+ number: 746308/15+ comment: $x^3-x^2-7x+5=0$; $S_3$; $h_K=1$+- params:+ D: '1396'+ k: '1'+ s: '-5'+ number: -752546403632/63+ comment: $x^3-x^2-7x+5=0$; $S_3$; $h_K=1$+- params:+ D: '1425'+ k: '1'+ s: '-1'+ number: -29/3+ comment: $x^3-x^2-8x-3=0$; $S_3$; $h_K=1$+- params:+ D: '1425'+ k: '1'+ s: '-3'+ number: 1536419/30+ comment: $x^3-x^2-8x-3=0$; $S_3$; $h_K=1$+- params:+ D: '1425'+ k: '1'+ s: '-5'+ number: -831649869899/63+ comment: $x^3-x^2-8x-3=0$; $S_3$; $h_K=1$+- params:+ D: '1436'+ k: '1'+ s: '-1'+ number: -44/3+ comment: $x^3-11x-12=0$; $S_3$; $h_K=1$+- params:+ D: '1436'+ k: '1'+ s: '-3'+ number: 885286/15+ comment: $x^3-11x-12=0$; $S_3$; $h_K=1$+- params:+ D: '1436'+ k: '1'+ s: '-5'+ number: -894050845124/63+ comment: $x^3-11x-12=0$; $S_3$; $h_K=1$+- params:+ D: '1489'+ k: '1'+ s: '-1'+ number: '-8'+ comment: $x^3-x^2-10x-7=0$; $S_3$; $h_K=1$+- params:+ D: '1489'+ k: '1'+ s: '-3'+ number: 290944/5+ comment: $x^3-x^2-10x-7=0$; $S_3$; $h_K=1$+- params:+ D: '1489'+ k: '1'+ s: '-5'+ number: -351999233288/21+ comment: $x^3-x^2-10x-7=0$; $S_3$; $h_K=1$+- params:+ D: '1492'+ k: '1'+ s: '-1'+ number: -34/3+ comment: $x^3-x^2-9x-5=0$; $S_3$; $h_K=1$+- params:+ D: '1492'+ k: '1'+ s: '-3'+ number: 187933/3+ comment: $x^3-x^2-9x-5=0$; $S_3$; $h_K=1$+- params:+ D: '1492'+ k: '1'+ s: '-5'+ number: -1084785143074/63+ comment: $x^3-x^2-9x-5=0$; $S_3$; $h_K=1$+- params:+ D: '1509'+ k: '1'+ s: '-1'+ number: '-14'+ comment: $x^3-x^2-7x+4=0$; $S_3$; $h_K=1$+- params:+ D: '1509'+ k: '1'+ s: '-3'+ number: 334443/5+ comment: $x^3-x^2-7x+4=0$; $S_3$; $h_K=1$+- params:+ D: '1509'+ k: '1'+ s: '-5'+ number: -55137388282/3+ comment: $x^3-x^2-7x+4=0$; $S_3$; $h_K=1$+- params:+ D: '1524'+ k: '1'+ s: '-1'+ number: -41/3+ comment: $x^3-x^2-7x+1=0$; $S_3$; $h_K=1$+- params:+ D: '1524'+ k: '1'+ s: '-3'+ number: 2070137/30+ comment: $x^3-x^2-7x+1=0$; $S_3$; $h_K=1$+- params:+ D: '1524'+ k: '1'+ s: '-5'+ number: -1222333368521/63+ comment: $x^3-x^2-7x+1=0$; $S_3$; $h_K=1$+- params:+ D: '1556'+ k: '1'+ s: '-1'+ number: -38/3+ comment: $x^3-x^2-9x+11=0$; $S_3$; $h_K=1$+- params:+ D: '1556'+ k: '1'+ s: '-3'+ number: 1099279/15+ comment: $x^3-x^2-9x+11=0$; $S_3$; $h_K=1$+- params:+ D: '1556'+ k: '1'+ s: '-5'+ number: -1368442609238/63+ comment: $x^3-x^2-9x+11=0$; $S_3$; $h_K=1$+- params:+ D: '1573'+ k: '1'+ s: '-1'+ number: -38/3+ comment: $x^3-x^2-7x+2=0$; $S_3$; $h_K=1$+- params:+ D: '1573'+ k: '1'+ s: '-3'+ number: 1134223/15+ comment: $x^3-x^2-7x+2=0$; $S_3$; $h_K=1$+- params:+ D: '1573'+ k: '1'+ s: '-5'+ number: -207311775074/9+ comment: $x^3-x^2-7x+2=0$; $S_3$; $h_K=1$+- params:+ D: '1593'+ k: '1'+ s: '-1'+ number: -32/3+ comment: $x^3-9x-7=0$; $S_3$; $h_K=1$+- params:+ D: '1593'+ k: '1'+ s: '-3'+ number: 1122004/15+ comment: $x^3-9x-7=0$; $S_3$; $h_K=1$+- params:+ D: '1593'+ k: '1'+ s: '-5'+ number: -1533063691952/63+ comment: $x^3-9x-7=0$; $S_3$; $h_K=1$+- params:+ D: '1620'+ k: '1'+ s: '-1'+ number: -43/3+ comment: $x^3-12x-14=0$; $S_3$; $h_K=1$+- params:+ D: '1620'+ k: '1'+ s: '-3'+ number: 2539963/30+ comment: $x^3-12x-14=0$; $S_3$; $h_K=1$+- params:+ D: '1620'+ k: '1'+ s: '-5'+ number: -244042885789/9+ comment: $x^3-12x-14=0$; $S_3$; $h_K=1$+- params:+ D: '1708'+ k: '1'+ s: '-1'+ number: '-18'+ comment: $x^3-x^2-8x-2=0$; $S_3$; $h_K=1$+- params:+ D: '1708'+ k: '1'+ s: '-3'+ number: 536039/5+ comment: $x^3-x^2-8x-2=0$; $S_3$; $h_K=1$+- params:+ D: '1708'+ k: '1'+ s: '-5'+ number: -772703316878/21+ comment: $x^3-x^2-8x-2=0$; $S_3$; $h_K=1$+- params:+ D: '1765'+ k: '1'+ s: '-1'+ number: -46/3+ comment: $x^3-x^2-11x+16=0$; $S_3$; $h_K=1$+- params:+ D: '1765'+ k: '1'+ s: '-3'+ number: 1699247/15+ comment: $x^3-x^2-11x+16=0$; $S_3$; $h_K=1$+- params:+ D: '1765'+ k: '1'+ s: '-5'+ number: -2734222785286/63+ comment: $x^3-x^2-11x+16=0$; $S_3$; $h_K=1$+- params:+ D: '1772'+ k: '1'+ s: '-1'+ number: -62/3+ comment: $x^3-x^2-12x+8=0$; $S_3$; $h_K=1$+- params:+ D: '1772'+ k: '1'+ s: '-3'+ number: 1850617/15+ comment: $x^3-x^2-12x+8=0$; $S_3$; $h_K=1$+- params:+ D: '1772'+ k: '1'+ s: '-5'+ number: -2841781644482/63+ comment: $x^3-x^2-12x+8=0$; $S_3$; $h_K=1$+- params:+ D: '1825'+ k: '1'+ s: '-1'+ number: -34/3+ comment: $x^3-x^2-8x+7=0$; $S_3$; $h_K=1$+- params:+ D: '1825'+ k: '1'+ s: '-3'+ number: 1782119/15+ comment: $x^3-x^2-8x+7=0$; $S_3$; $h_K=1$+- params:+ D: '1825'+ k: '1'+ s: '-5'+ number: -461974379842/9+ comment: $x^3-x^2-8x+7=0$; $S_3$; $h_K=1$+- params:+ D: '1849'+ k: '1'+ s: '-1'+ number: -76/3+ comment: $x^3-x^2-14x-8=0$; $C_3$, conductor $43$; $h_K=1$; the cubic subfield of+ $\mathbb{Q}(\zeta_{43})$+- params:+ D: '1849'+ k: '1'+ s: '-3'+ number: 2259086/15+ comment: $x^3-x^2-14x-8=0$; $C_3$, conductor $43$; $h_K=1$; the cubic subfield of+ $\mathbb{Q}(\zeta_{43})$+- params:+ D: '1849'+ k: '1'+ s: '-5'+ number: -3642576372076/63+ comment: $x^3-x^2-14x-8=0$; $C_3$, conductor $43$; $h_K=1$; the cubic subfield of+ $\mathbb{Q}(\zeta_{43})$+- params:+ D: '1901'+ k: '1'+ s: '-1'+ number: '-18'+ comment: $x^3-x^2-9x-4=0$; $S_3$; $h_K=1$+- params:+ D: '1901'+ k: '1'+ s: '-3'+ number: 741373/5+ comment: $x^3-x^2-9x-4=0$; $S_3$; $h_K=1$+- params:+ D: '1901'+ k: '1'+ s: '-5'+ number: -1372649819818/21+ comment: $x^3-x^2-9x-4=0$; $S_3$; $h_K=1$+- params:+ D: '1929'+ k: '1'+ s: '-1'+ number: -46/3+ comment: $x^3-x^2-10x+13=0$; $S_3$; $h_K=1$+- params:+ D: '1929'+ k: '1'+ s: '-3'+ number: 2216153/15+ comment: $x^3-x^2-10x+13=0$; $S_3$; $h_K=1$+- params:+ D: '1929'+ k: '1'+ s: '-5'+ number: -4398139787266/63+ comment: $x^3-x^2-10x+13=0$; $S_3$; $h_K=1$+- params:+ D: '1937'+ k: '1'+ s: '-1'+ number: '-14'+ comment: $x^3-x^2-8x-1=0$; $S_3$; $h_K=1$+- params:+ D: '1937'+ k: '1'+ s: '-3'+ number: 740953/5+ comment: $x^3-x^2-8x-1=0$; $S_3$; $h_K=1$+- params:+ D: '1937'+ k: '1'+ s: '-5'+ number: -1497816493154/21+ comment: $x^3-x^2-8x-1=0$; $S_3$; $h_K=1$+- params:+ D: '1940'+ k: '1'+ s: '-1'+ number: -56/3+ comment: $x^3-8x-2=0$; $S_3$; $h_K=1$+- params:+ D: '1940'+ k: '1'+ s: '-3'+ number: 2386072/15+ comment: $x^3-8x-2=0$; $S_3$; $h_K=1$+- params:+ D: '1940'+ k: '1'+ s: '-5'+ number: -4604030639336/63+ comment: $x^3-8x-2=0$; $S_3$; $h_K=1$+- params:+ D: '1944'+ k: '1'+ s: '-1'+ number: -70/3+ comment: $x^3-9x-6=0$; $S_3$; $h_K=1$+- params:+ D: '1944'+ k: '1'+ s: '-3'+ number: 2556221/15+ comment: $x^3-9x-6=0$; $S_3$; $h_K=1$+- params:+ D: '1944'+ k: '1'+ s: '-5'+ number: -4729825529050/63+ comment: $x^3-9x-6=0$; $S_3$; $h_K=1$+- params:+ D: '1957'+ k: '1'+ s: '-1'+ number: -52/3+ comment: $x^3-x^2-9x+10=0$; $S_3$; $h_K=2$+- params:+ D: '1957'+ k: '1'+ s: '-3'+ number: 2435222/15+ comment: $x^3-x^2-9x+10=0$; $S_3$; $h_K=2$+- params:+ D: '1957'+ k: '1'+ s: '-5'+ number: -4824583850932/63+ comment: $x^3-x^2-9x+10=0$; $S_3$; $h_K=2$+- params:+ D: '2021'+ k: '1'+ s: '-1'+ number: '-20'+ comment: $x^3-8x-1=0$; $S_3$; $h_K=1$+- params:+ D: '2021'+ k: '1'+ s: '-3'+ number: 918874/5+ comment: $x^3-8x-1=0$; $S_3$; $h_K=1$+- params:+ D: '2021'+ k: '1'+ s: '-5'+ number: -1922102647460/21+ comment: $x^3-8x-1=0$; $S_3$; $h_K=1$+- params:+ D: '2024'+ k: '1'+ s: '-1'+ number: -74/3+ comment: $x^3-x^2-10x-6=0$; $S_3$; $h_K=1$+- params:+ D: '2024'+ k: '1'+ s: '-3'+ number: 588611/3+ comment: $x^3-x^2-10x-6=0$; $S_3$; $h_K=1$+- params:+ D: '2024'+ k: '1'+ s: '-5'+ number: -843475980842/9+ comment: $x^3-x^2-10x-6=0$; $S_3$; $h_K=1$+- params:+ D: '2057'+ k: '1'+ s: '-1'+ number: -46/3+ comment: $x^3-11x-11=0$; $S_3$; $h_K=1$+- params:+ D: '2057'+ k: '1'+ s: '-3'+ number: 2743373/15+ comment: $x^3-11x-11=0$; $S_3$; $h_K=1$+- params:+ D: '2057'+ k: '1'+ s: '-5'+ number: -6253967874706/63+ comment: $x^3-11x-11=0$; $S_3$; $h_K=1$+- params:+ D: '2089'+ k: '1'+ s: '-1'+ number: -92/3+ comment: $x^3-13x-4=0$; $S_3$; $h_K=1$+- params:+ D: '2089'+ k: '1'+ s: '-3'+ number: 3463894/15+ comment: $x^3-13x-4=0$; $S_3$; $h_K=1$+- params:+ D: '2089'+ k: '1'+ s: '-5'+ number: -7127222029052/63+ comment: $x^3-13x-4=0$; $S_3$; $h_K=1$+- params:+ D: '2101'+ k: '1'+ s: '-1'+ number: -56/3+ comment: $x^3-x^2-11x-8=0$; $S_3$; $h_K=1$+- params:+ D: '2101'+ k: '1'+ s: '-3'+ number: 623480/3+ comment: $x^3-x^2-11x-8=0$; $S_3$; $h_K=1$+- params:+ D: '2101'+ k: '1'+ s: '-5'+ number: -7128957661256/63+ comment: $x^3-x^2-11x-8=0$; $S_3$; $h_K=1$+- params:+ D: '2177'+ k: '1'+ s: '-1'+ number: '-17'+ comment: $x^3-x^2-8x+5=0$; $S_3$; $h_K=1$+- params:+ D: '2177'+ k: '1'+ s: '-3'+ number: 2231327/10+ comment: $x^3-x^2-8x+5=0$; $S_3$; $h_K=1$+- params:+ D: '2177'+ k: '1'+ s: '-5'+ number: -406792419761/3+ comment: $x^3-x^2-8x+5=0$; $S_3$; $h_K=1$+- params:+ D: '2213'+ k: '1'+ s: '-1'+ number: -70/3+ comment: $x^3-x^2-13x-12=0$; $S_3$; $h_K=1$+- params:+ D: '2213'+ k: '1'+ s: '-3'+ number: 3791711/15+ comment: $x^3-x^2-13x-12=0$; $S_3$; $h_K=1$+- params:+ D: '2213'+ k: '1'+ s: '-5'+ number: -9499591224910/63+ comment: $x^3-x^2-13x-12=0$; $S_3$; $h_K=1$+- params:+ D: '2228'+ k: '1'+ s: '-1'+ number: -67/3+ comment: $x^3-x^2-13x+9=0$; $S_3$; $h_K=1$+- params:+ D: '2228'+ k: '1'+ s: '-3'+ number: 7734883/30+ comment: $x^3-x^2-13x+9=0$; $S_3$; $h_K=1$+- params:+ D: '2228'+ k: '1'+ s: '-5'+ number: -1408110330661/9+ comment: $x^3-x^2-13x+9=0$; $S_3$; $h_K=1$+- params:+ D: '2233'+ k: '1'+ s: '-1'+ number: -47/3+ comment: $x^3-x^2-8x+1=0$; $S_3$; $h_K=1$+- params:+ D: '2233'+ k: '1'+ s: '-3'+ number: 7225241/30+ comment: $x^3-x^2-8x+1=0$; $S_3$; $h_K=1$+- params:+ D: '2233'+ k: '1'+ s: '-5'+ number: -9809841235097/63+ comment: $x^3-x^2-8x+1=0$; $S_3$; $h_K=1$+- params:+ D: '2241'+ k: '1'+ s: '-1'+ number: -55/3+ comment: $x^3-9x-5=0$; $S_3$; $h_K=1$+- params:+ D: '2241'+ k: '1'+ s: '-3'+ number: 7425001/30+ comment: $x^3-9x-5=0$; $S_3$; $h_K=1$+- params:+ D: '2241'+ k: '1'+ s: '-5'+ number: -10019554553665/63+ comment: $x^3-9x-5=0$; $S_3$; $h_K=1$+- params:+ D: '2292'+ k: '1'+ s: '-1'+ number: '-26'+ comment: $x^3-x^2-13x+1=0$; $S_3$; $h_K=1$+- params:+ D: '2292'+ k: '1'+ s: '-3'+ number: 1441497/5+ comment: $x^3-x^2-13x+1=0$; $S_3$; $h_K=1$+- params:+ D: '2292'+ k: '1'+ s: '-5'+ number: -3844669433866/21+ comment: $x^3-x^2-13x+1=0$; $S_3$; $h_K=1$+- params:+ D: '2296'+ k: '1'+ s: '-1'+ number: -82/3+ comment: $x^3-x^2-14x-14=0$; $S_3$; $h_K=1$+- params:+ D: '2296'+ k: '1'+ s: '-3'+ number: 4522259/15+ comment: $x^3-x^2-14x-14=0$; $S_3$; $h_K=1$+- params:+ D: '2296'+ k: '1'+ s: '-5'+ number: -11796919174462/63+ comment: $x^3-x^2-14x-14=0$; $S_3$; $h_K=1$+- params:+ D: '2300'+ k: '1'+ s: '-1'+ number: -92/3+ comment: $x^3-x^2-8x+2=0$; $S_3$; $h_K=1$+- params:+ D: '2300'+ k: '1'+ s: '-3'+ number: 4610494/15+ comment: $x^3-x^2-8x+2=0$; $S_3$; $h_K=1$+- params:+ D: '2300'+ k: '1'+ s: '-5'+ number: -11927333915732/63+ comment: $x^3-x^2-8x+2=0$; $S_3$; $h_K=1$+- params:+ D: '2349'+ k: '1'+ s: '-1'+ number: -74/3+ comment: $x^3-12x-13=0$; $S_3$; $h_K=1$+- params:+ D: '2349'+ k: '1'+ s: '-3'+ number: 4664197/15+ comment: $x^3-12x-13=0$; $S_3$; $h_K=1$+- params:+ D: '2349'+ k: '1'+ s: '-5'+ number: -13186677848114/63+ comment: $x^3-12x-13=0$; $S_3$; $h_K=1$+- params:+ D: '2429'+ k: '1'+ s: '-1'+ number: -80/3+ comment: $x^3-x^2-14x-4=0$; $S_3$; $h_K=1$+- params:+ D: '2429'+ k: '1'+ s: '-3'+ number: 5248588/15+ comment: $x^3-x^2-14x-4=0$; $S_3$; $h_K=1$+- params:+ D: '2429'+ k: '1'+ s: '-5'+ number: -2264852089760/9+ comment: $x^3-x^2-14x-4=0$; $S_3$; $h_K=1$+- params:+ D: '2505'+ k: '1'+ s: '-1'+ number: -71/3+ comment: $x^3-x^2-10x-5=0$; $S_3$; $h_K=1$+- params:+ D: '2505'+ k: '1'+ s: '-3'+ number: 11087633/30+ comment: $x^3-x^2-10x-5=0$; $S_3$; $h_K=1$+- params:+ D: '2505'+ k: '1'+ s: '-5'+ number: -18511118662241/63+ comment: $x^3-x^2-10x-5=0$; $S_3$; $h_K=1$+- params:+ D: '2557'+ k: '1'+ s: '-1'+ number: '-26'+ comment: $x^3-x^2-9x-2=0$; $S_3$; $h_K=1$+- params:+ D: '2557'+ k: '1'+ s: '-3'+ number: 2069849/5+ comment: $x^3-x^2-9x-2=0$; $S_3$; $h_K=1$+- params:+ D: '2557'+ k: '1'+ s: '-5'+ number: -2333389111142/7+ comment: $x^3-x^2-9x-2=0$; $S_3$; $h_K=1$+- params:+ D: '2589'+ k: '1'+ s: '-1'+ number: '-32'+ comment: $x^3-x^2-14x+12=0$; $S_3$; $h_K=1$+- params:+ D: '2589'+ k: '1'+ s: '-3'+ number: 2213292/5+ comment: $x^3-x^2-14x+12=0$; $S_3$; $h_K=1$+- params:+ D: '2589'+ k: '1'+ s: '-5'+ number: -7515938740432/21+ comment: $x^3-x^2-14x+12=0$; $S_3$; $h_K=1$+- params:+ D: '2597'+ k: '1'+ s: '-1'+ number: '-30'+ comment: $x^3-x^2-9x+8=0$; $S_3$; $h_K=3$+- params:+ D: '2597'+ k: '1'+ s: '-3'+ number: 2213503/5+ comment: $x^3-x^2-9x+8=0$; $S_3$; $h_K=3$+- params:+ D: '2597'+ k: '1'+ s: '-5'+ number: -7634578180630/21+ comment: $x^3-x^2-9x+8=0$; $S_3$; $h_K=3$+- params:+ D: '2636'+ k: '1'+ s: '-1'+ number: -110/3+ comment: $x^3-14x-4=0$; $S_3$; $h_K=1$+- params:+ D: '2636'+ k: '1'+ s: '-3'+ number: 7419169/15+ comment: $x^3-14x-4=0$; $S_3$; $h_K=1$+- params:+ D: '2636'+ k: '1'+ s: '-5'+ number: -25247158360850/63+ comment: $x^3-14x-4=0$; $S_3$; $h_K=1$+- params:+ D: '2673'+ k: '1'+ s: '-1'+ number: -68/3+ comment: $x^3-9x-3=0$; $S_3$; $h_K=1$+- params:+ D: '2673'+ k: '1'+ s: '-3'+ number: 6861718/15+ comment: $x^3-9x-3=0$; $S_3$; $h_K=1$+- params:+ D: '2673'+ k: '1'+ s: '-5'+ number: -26415619856828/63+ comment: $x^3-9x-3=0$; $S_3$; $h_K=1$+- params:+ D: '2677'+ k: '1'+ s: '-1'+ number: '-28'+ comment: $x^3-10x-7=0$; $S_3$; $h_K=1$+- params:+ D: '2677'+ k: '1'+ s: '-3'+ number: '486170'+ comment: $x^3-10x-7=0$; $S_3$; $h_K=1$+- params:+ D: '2677'+ k: '1'+ s: '-5'+ number: -3002874730036/7+ comment: $x^3-10x-7=0$; $S_3$; $h_K=1$+- params:+ D: '2700'+ k: '1'+ s: '-1'+ number: -118/3+ comment: $x^3-15x-20=0$; $S_3$; $h_K=1$+- params:+ D: '2700'+ k: '1'+ s: '-3'+ number: 8083301/15+ comment: $x^3-15x-20=0$; $S_3$; $h_K=1$+- params:+ D: '2700'+ k: '1'+ s: '-5'+ number: -28810039979818/63+ comment: $x^3-15x-20=0$; $S_3$; $h_K=1$+- params:+ D: '2708'+ k: '1'+ s: '-1'+ number: -91/3+ comment: $x^3-x^2-11x-7=0$; $S_3$; $h_K=1$+- params:+ D: '2708'+ k: '1'+ s: '-3'+ number: 15317419/30+ comment: $x^3-x^2-11x-7=0$; $S_3$; $h_K=1$+- params:+ D: '2708'+ k: '1'+ s: '-5'+ number: -28825206727291/63+ comment: $x^3-x^2-11x-7=0$; $S_3$; $h_K=1$+- params:+ D: '2713'+ k: '1'+ s: '-1'+ number: -85/3+ comment: $x^3-13x-15=0$; $S_3$; $h_K=1$+- params:+ D: '2713'+ k: '1'+ s: '-3'+ number: 2962367/6+ comment: $x^3-13x-15=0$; $S_3$; $h_K=1$+- params:+ D: '2713'+ k: '1'+ s: '-5'+ number: -28742774430835/63+ comment: $x^3-13x-15=0$; $S_3$; $h_K=1$+- params:+ D: '2777'+ k: '1'+ s: '-1'+ number: '-24'+ comment: $x^3-x^2-14x+23=0$; $S_3$; $h_K=2$+- params:+ D: '2777'+ k: '1'+ s: '-3'+ number: 2614228/5+ comment: $x^3-x^2-14x+23=0$; $S_3$; $h_K=2$+- params:+ D: '2777'+ k: '1'+ s: '-5'+ number: -10862079137704/21+ comment: $x^3-x^2-14x+23=0$; $S_3$; $h_K=2$+- params:+ D: '2804'+ k: '1'+ s: '-1'+ number: -101/3+ comment: $x^3-x^2-9x-1=0$; $S_3$; $h_K=1$+- params:+ D: '2804'+ k: '1'+ s: '-3'+ number: 3470305/6+ comment: $x^3-x^2-9x-1=0$; $S_3$; $h_K=1$+- params:+ D: '2804'+ k: '1'+ s: '-5'+ number: -34916903412581/63+ comment: $x^3-x^2-9x-1=0$; $S_3$; $h_K=1$+- params:+ D: '2808'+ k: '1'+ s: '-1'+ number: -124/3+ comment: $x^3-9x-2=0$; $S_3$; $h_K=1$+- params:+ D: '2808'+ k: '1'+ s: '-3'+ number: 9269474/15+ comment: $x^3-9x-2=0$; $S_3$; $h_K=1$+- params:+ D: '2808'+ k: '1'+ s: '-5'+ number: -35745692598724/63+ comment: $x^3-9x-2=0$; $S_3$; $h_K=1$+- params:+ D: '2836'+ k: '1'+ s: '-1'+ number: -86/3+ comment: $x^3-x^2-9x+7=0$; $S_3$; $h_K=1$+- params:+ D: '2836'+ k: '1'+ s: '-3'+ number: 8882887/15+ comment: $x^3-x^2-9x+7=0$; $S_3$; $h_K=1$+- params:+ D: '2836'+ k: '1'+ s: '-5'+ number: -5301191459018/9+ comment: $x^3-x^2-9x+7=0$; $S_3$; $h_K=1$+- params:+ D: '2857'+ k: '1'+ s: '-1'+ number: -65/3+ comment: $x^3-x^2-10x+11=0$; $S_3$; $h_K=1$+- params:+ D: '2857'+ k: '1'+ s: '-3'+ number: 17101679/30+ comment: $x^3-x^2-10x+11=0$; $S_3$; $h_K=1$+- params:+ D: '2857'+ k: '1'+ s: '-5'+ number: -38042819668775/63+ comment: $x^3-x^2-10x+11=0$; $S_3$; $h_K=1$+- params:+ D: '2917'+ k: '1'+ s: '-1'+ number: '-32'+ comment: $x^3-x^2-13x+20=0$; $S_3$; $h_K=1$+- params:+ D: '2917'+ k: '1'+ s: '-3'+ number: 3283192/5+ comment: $x^3-x^2-13x+20=0$; $S_3$; $h_K=1$+- params:+ D: '2917'+ k: '1'+ s: '-5'+ number: -14445849065792/21+ comment: $x^3-x^2-13x+20=0$; $S_3$; $h_K=1$+- params:+ D: '2920'+ k: '1'+ s: '-1'+ number: -122/3+ comment: $x^3-x^2-15x-5=0$; $S_3$; $h_K=1$+- params:+ D: '2920'+ k: '1'+ s: '-3'+ number: 10514827/15+ comment: $x^3-x^2-15x-5=0$; $S_3$; $h_K=1$+- params:+ D: '2920'+ k: '1'+ s: '-5'+ number: -44266677385862/63+ comment: $x^3-x^2-15x-5=0$; $S_3$; $h_K=1$+- params:+ D: '2941'+ k: '1'+ s: '-1'+ number: '-34'+ comment: $x^3-x^2-14x+4=0$; $S_3$; $h_K=1$+- params:+ D: '2941'+ k: '1'+ s: '-3'+ number: 3387821/5+ comment: $x^3-x^2-14x+4=0$; $S_3$; $h_K=1$+- params:+ D: '2941'+ k: '1'+ s: '-5'+ number: -15113565363994/21+ comment: $x^3-x^2-14x+4=0$; $S_3$; $h_K=1$+- params:+ D: '2981'+ k: '1'+ s: '-1'+ number: '-36'+ comment: $x^3-x^2-11x+14=0$; $S_3$; $h_K=1$+- params:+ D: '2981'+ k: '1'+ s: '-3'+ number: 3581458/5+ comment: $x^3-x^2-11x+14=0$; $S_3$; $h_K=1$+- params:+ D: '2981'+ k: '1'+ s: '-5'+ number: -16298697270196/21+ comment: $x^3-x^2-11x+14=0$; $S_3$; $h_K=1$+- params:+ D: '2993'+ k: '1'+ s: '-1'+ number: -79/3+ comment: $x^3-x^2-12x+17=0$; $S_3$; $h_K=1$+- params:+ D: '2993'+ k: '1'+ s: '-3'+ number: 20378209/30+ comment: $x^3-x^2-12x+17=0$; $S_3$; $h_K=1$+- params:+ D: '2993'+ k: '1'+ s: '-5'+ number: -49198297404169/63+ comment: $x^3-x^2-12x+17=0$; $S_3$; $h_K=1$+- params:+ D: '3021'+ k: '1'+ s: '-1'+ number: '-40'+ comment: $x^3-x^2-9x+6=0$; $S_3$; $h_K=1$+- params:+ D: '3021'+ k: '1'+ s: '-3'+ number: '759432'+ comment: $x^3-x^2-9x+6=0$; $S_3$; $h_K=1$+- params:+ D: '3021'+ k: '1'+ s: '-5'+ number: -17562345423320/21+ comment: $x^3-x^2-9x+6=0$; $S_3$; $h_K=1$+- params:+ D: '3028'+ k: '1'+ s: '-1'+ number: -130/3+ comment: $x^3-10x-6=0$; $S_3$; $h_K=1$+- params:+ D: '3028'+ k: '1'+ s: '-3'+ number: 11599409/15+ comment: $x^3-10x-6=0$; $S_3$; $h_K=1$+- params:+ D: '3028'+ k: '1'+ s: '-5'+ number: -53425624488130/63+ comment: $x^3-10x-6=0$; $S_3$; $h_K=1$+- params:+ D: '3124'+ k: '1'+ s: '-1'+ number: -133/3+ comment: $x^3-16x-12=0$; $S_3$; $h_K=1$+- params:+ D: '3124'+ k: '1'+ s: '-3'+ number: 25838941/30+ comment: $x^3-16x-12=0$; $S_3$; $h_K=1$+- params:+ D: '3124'+ k: '1'+ s: '-5'+ number: -9061031039779/9+ comment: $x^3-16x-12=0$; $S_3$; $h_K=1$+- params:+ D: '3132'+ k: '1'+ s: '-1'+ number: -148/3+ comment: $x^3-15x-6=0$; $S_3$; $h_K=1$+- params:+ D: '3132'+ k: '1'+ s: '-3'+ number: 13589834/15+ comment: $x^3-15x-6=0$; $S_3$; $h_K=1$+- params:+ D: '3132'+ k: '1'+ s: '-5'+ number: -65172296055868/63+ comment: $x^3-15x-6=0$; $S_3$; $h_K=1$+- params:+ D: '3137'+ k: '1'+ s: '-1'+ number: -85/3+ comment: $x^3-11x-9=0$; $S_3$; $h_K=1$+- params:+ D: '3137'+ k: '1'+ s: '-3'+ number: 24022147/30+ comment: $x^3-11x-9=0$; $S_3$; $h_K=1$+- params:+ D: '3137'+ k: '1'+ s: '-5'+ number: -63707884432195/63+ comment: $x^3-11x-9=0$; $S_3$; $h_K=1$+- params:+ D: '3144'+ k: '1'+ s: '-1'+ number: -158/3+ comment: $x^3-x^2-16x-8=0$; $S_3$; $h_K=1$+- params:+ D: '3144'+ k: '1'+ s: '-3'+ number: 13916809/15+ comment: $x^3-x^2-16x-8=0$; $S_3$; $h_K=1$+- params:+ D: '3144'+ k: '1'+ s: '-5'+ number: -66644124311138/63+ comment: $x^3-x^2-16x-8=0$; $S_3$; $h_K=1$+- params:+ D: '3173'+ k: '1'+ s: '-1'+ number: '-40'+ comment: $x^3-14x-17=0$; $S_3$; $h_K=1$+- params:+ D: '3173'+ k: '1'+ s: '-3'+ number: 4460692/5+ comment: $x^3-14x-17=0$; $S_3$; $h_K=1$+- params:+ D: '3173'+ k: '1'+ s: '-5'+ number: -7658607321240/7+ comment: $x^3-14x-17=0$; $S_3$; $h_K=1$+- params:+ D: '3221'+ k: '1'+ s: '-1'+ number: -124/3+ comment: $x^3-x^2-9x+2=0$; $S_3$; $h_K=1$+- params:+ D: '3221'+ k: '1'+ s: '-3'+ number: 14098766/15+ comment: $x^3-x^2-9x+2=0$; $S_3$; $h_K=1$+- params:+ D: '3221'+ k: '1'+ s: '-5'+ number: -74858159972524/63+ comment: $x^3-x^2-9x+2=0$; $S_3$; $h_K=1$+- params:+ D: '3229'+ k: '1'+ s: '-1'+ number: -118/3+ comment: $x^3-x^2-9x+4=0$; $S_3$; $h_K=1$+- params:+ D: '3229'+ k: '1'+ s: '-3'+ number: 14095487/15+ comment: $x^3-x^2-9x+4=0$; $S_3$; $h_K=1$+- params:+ D: '3229'+ k: '1'+ s: '-5'+ number: -75794918817118/63+ comment: $x^3-x^2-9x+4=0$; $S_3$; $h_K=1$+- params:+ D: '3252'+ k: '1'+ s: '-1'+ number: -131/3+ comment: $x^3-x^2-9x+3=0$; $S_3$; $h_K=1$+- params:+ D: '3252'+ k: '1'+ s: '-3'+ number: 29417411/30+ comment: $x^3-x^2-9x+3=0$; $S_3$; $h_K=1$+- params:+ D: '3252'+ k: '1'+ s: '-5'+ number: -78999525360131/63+ comment: $x^3-x^2-9x+3=0$; $S_3$; $h_K=1$+- params:+ D: '3261'+ k: '1'+ s: '-1'+ number: -136/3+ comment: $x^3-x^2-11x-6=0$; $S_3$; $h_K=1$+- params:+ D: '3261'+ k: '1'+ s: '-3'+ number: 14891168/15+ comment: $x^3-x^2-11x-6=0$; $S_3$; $h_K=1$+- params:+ D: '3261'+ k: '1'+ s: '-5'+ number: -80224609438936/63+ comment: $x^3-x^2-11x-6=0$; $S_3$; $h_K=1$+- params:+ D: '3281'+ k: '1'+ s: '-1'+ number: -89/3+ comment: $x^3-x^2-14x-13=0$; $S_3$; $h_K=1$+- params:+ D: '3281'+ k: '1'+ s: '-3'+ number: 28074311/30+ comment: $x^3-x^2-14x-13=0$; $S_3$; $h_K=1$+- params:+ D: '3281'+ k: '1'+ s: '-5'+ number: -11648642722457/9+ comment: $x^3-x^2-14x-13=0$; $S_3$; $h_K=1$+- params:+ D: '3305'+ k: '1'+ s: '-1'+ number: '-32'+ comment: $x^3-x^2-10x-3=0$; $S_3$; $h_K=1$+- params:+ D: '3305'+ k: '1'+ s: '-3'+ number: 4813588/5+ comment: $x^3-x^2-10x-3=0$; $S_3$; $h_K=1$+- params:+ D: '3305'+ k: '1'+ s: '-5'+ number: -28295212029872/21+ comment: $x^3-x^2-10x-3=0$; $S_3$; $h_K=1$+- params:+ D: '3316'+ k: '1'+ s: '-1'+ number: -106/3+ comment: $x^3-16x-22=0$; $S_3$; $h_K=1$+- params:+ D: '3316'+ k: '1'+ s: '-3'+ number: 15343949/15+ comment: $x^3-16x-22=0$; $S_3$; $h_K=1$+- params:+ D: '3316'+ k: '1'+ s: '-5'+ number: -87692083135306/63+ comment: $x^3-16x-22=0$; $S_3$; $h_K=1$+- params:+ D: '3325'+ k: '1'+ s: '-1'+ number: -118/3+ comment: $x^3-10x-5=0$; $S_3$; $h_K=1$+- params:+ D: '3325'+ k: '1'+ s: '-3'+ number: 15579431/15+ comment: $x^3-10x-5=0$; $S_3$; $h_K=1$+- params:+ D: '3325'+ k: '1'+ s: '-5'+ number: -89037182680318/63+ comment: $x^3-10x-5=0$; $S_3$; $h_K=1$+- params:+ D: '3356'+ k: '1'+ s: '-1'+ number: -160/3+ comment: $x^3-x^2-15x-1=0$; $S_3$; $h_K=1$+- params:+ D: '3356'+ k: '1'+ s: '-3'+ number: 17281424/15+ comment: $x^3-x^2-15x-1=0$; $S_3$; $h_K=1$+- params:+ D: '3356'+ k: '1'+ s: '-5'+ number: -13612533728800/9+ comment: $x^3-x^2-15x-1=0$; $S_3$; $h_K=1$+- params:+ D: '3368'+ k: '1'+ s: '-1'+ number: -164/3+ comment: $x^3-x^2-15x+11=0$; $S_3$; $h_K=1$+- params:+ D: '3368'+ k: '1'+ s: '-3'+ number: 17519734/15+ comment: $x^3-x^2-15x+11=0$; $S_3$; $h_K=1$+- params:+ D: '3368'+ k: '1'+ s: '-5'+ number: -97182252932924/63+ comment: $x^3-x^2-15x+11=0$; $S_3$; $h_K=1$+- params:+ D: '3496'+ k: '1'+ s: '-1'+ number: -152/3+ comment: $x^3-13x-14=0$; $S_3$; $h_K=1$+- params:+ D: '3496'+ k: '1'+ s: '-3'+ number: 3938288/3+ comment: $x^3-13x-14=0$; $S_3$; $h_K=1$+- params:+ D: '3496'+ k: '1'+ s: '-5'+ number: -119141298931352/63+ comment: $x^3-13x-14=0$; $S_3$; $h_K=1$+- params:+ D: '3508'+ k: '1'+ s: '-1'+ number: '-39'+ comment: $x^3-x^2-11x+13=0$; $S_3$; $h_K=1$+- params:+ D: '3508'+ k: '1'+ s: '-3'+ number: 12470407/10+ comment: $x^3-x^2-11x+13=0$; $S_3$; $h_K=1$+- params:+ D: '3508'+ k: '1'+ s: '-5'+ number: -39839208551399/21+ comment: $x^3-x^2-11x+13=0$; $S_3$; $h_K=1$+- params:+ D: '3540'+ k: '1'+ s: '-1'+ number: -155/3+ comment: $x^3-x^2-15x-15=0$; $S_3$; $h_K=1$+- params:+ D: '3540'+ k: '1'+ s: '-3'+ number: 39665387/30+ comment: $x^3-x^2-15x-15=0$; $S_3$; $h_K=1$+- params:+ D: '3540'+ k: '1'+ s: '-5'+ number: -125992761568955/63+ comment: $x^3-x^2-15x-15=0$; $S_3$; $h_K=1$+- params:+ D: '3569'+ k: '1'+ s: '-1'+ number: -101/3+ comment: $x^3-x^2-10x+9=0$; $S_3$; $h_K=1$+- params:+ D: '3569'+ k: '1'+ s: '-3'+ number: 37687859/30+ comment: $x^3-x^2-10x+9=0$; $S_3$; $h_K=1$+- params:+ D: '3569'+ k: '1'+ s: '-5'+ number: -18503210043893/9+ comment: $x^3-x^2-10x+9=0$; $S_3$; $h_K=1$+- params:+ D: '3576'+ k: '1'+ s: '-1'+ number: -194/3+ comment: $x^3-x^2-15x+3=0$; $S_3$; $h_K=1$+- params:+ D: '3576'+ k: '1'+ s: '-3'+ number: 21847627/15+ comment: $x^3-x^2-15x+3=0$; $S_3$; $h_K=1$+- params:+ D: '3576'+ k: '1'+ s: '-5'+ number: -135300004214414/63+ comment: $x^3-x^2-15x+3=0$; $S_3$; $h_K=1$+- params:+ D: '3580'+ k: '1'+ s: '-1'+ number: '-56'+ comment: $x^3-x^2-15x+7=0$; $S_3$; $h_K=1$+- params:+ D: '3580'+ k: '1'+ s: '-3'+ number: 7154876/5+ comment: $x^3-x^2-15x+7=0$; $S_3$; $h_K=1$+- params:+ D: '3580'+ k: '1'+ s: '-5'+ number: -15086518690232/7+ comment: $x^3-x^2-15x+7=0$; $S_3$; $h_K=1$+- params:+ D: '3592'+ k: '1'+ s: '-1'+ number: '-54'+ comment: $x^3-x^2-18x+34=0$; $S_3$; $h_K=1$+- params:+ D: '3592'+ k: '1'+ s: '-3'+ number: 7225541/5+ comment: $x^3-x^2-18x+34=0$; $S_3$; $h_K=1$+- params:+ D: '3592'+ k: '1'+ s: '-5'+ number: -46096969704554/21+ comment: $x^3-x^2-18x+34=0$; $S_3$; $h_K=1$+- params:+ D: '3596'+ k: '1'+ s: '-1'+ number: -178/3+ comment: $x^3-11x-8=0$; $S_3$; $h_K=1$+- params:+ D: '3596'+ k: '1'+ s: '-3'+ number: 22008611/15+ comment: $x^3-11x-8=0$; $S_3$; $h_K=1$+- params:+ D: '3596'+ k: '1'+ s: '-5'+ number: -19903374076594/9+ comment: $x^3-11x-8=0$; $S_3$; $h_K=1$+- params:+ D: '3604'+ k: '1'+ s: '-1'+ number: -119/3+ comment: $x^3-x^2-17x+31=0$; $S_3$; $h_K=1$+- params:+ D: '3604'+ k: '1'+ s: '-3'+ number: 41069039/30+ comment: $x^3-x^2-17x+31=0$; $S_3$; $h_K=1$+- params:+ D: '3604'+ k: '1'+ s: '-5'+ number: -138642495096359/63+ comment: $x^3-x^2-17x+31=0$; $S_3$; $h_K=1$+- params:+ D: '3624'+ k: '1'+ s: '-1'+ number: '-66'+ comment: $x^3-x^2-10x-2=0$; $S_3$; $h_K=1$+- params:+ D: '3624'+ k: '1'+ s: '-3'+ number: 7630479/5+ comment: $x^3-x^2-10x-2=0$; $S_3$; $h_K=1$+- params:+ D: '3624'+ k: '1'+ s: '-5'+ number: -16177225539402/7+ comment: $x^3-x^2-10x-2=0$; $S_3$; $h_K=1$+- params:+ D: '3721'+ k: '1'+ s: '-1'+ number: -133/3+ comment: $x^3-x^2-20x+9=0$; $C_3$, conductor $61$; $h_K=1$; the cubic subfield of+ $\mathbb{Q}(\zeta_{61})$+- params:+ D: '3721'+ k: '1'+ s: '-3'+ number: 44689099/30+ comment: $x^3-x^2-20x+9=0$; $C_3$, conductor $61$; $h_K=1$; the cubic subfield of+ $\mathbb{Q}(\zeta_{61})$+- params:+ D: '3721'+ k: '1'+ s: '-5'+ number: -163363743993283/63+ comment: $x^3-x^2-20x+9=0$; $C_3$, conductor $61$; $h_K=1$; the cubic subfield of+ $\mathbb{Q}(\zeta_{61})$+- params:+ D: '3732'+ k: '1'+ s: '-1'+ number: '-54'+ comment: $x^3-x^2-13x+19=0$; $S_3$; $h_K=1$+- params:+ D: '3732'+ k: '1'+ s: '-3'+ number: 7938891/5+ comment: $x^3-x^2-13x+19=0$; $S_3$; $h_K=1$+- params:+ D: '3732'+ k: '1'+ s: '-5'+ number: -18716877293778/7+ comment: $x^3-x^2-13x+19=0$; $S_3$; $h_K=1$+- params:+ D: '3736'+ k: '1'+ s: '-1'+ number: '-56'+ comment: $x^3-x^2-14x+22=0$; $S_3$; $h_K=1$+- params:+ D: '3736'+ k: '1'+ s: '-3'+ number: 8281064/5+ comment: $x^3-x^2-14x+22=0$; $S_3$; $h_K=1$+- params:+ D: '3736'+ k: '1'+ s: '-5'+ number: '-2724688203576'+ comment: $x^3-x^2-14x+22=0$; $S_3$; $h_K=1$+- params:+ D: '3753'+ k: '1'+ s: '-1'+ number: -110/3+ comment: $x^3-15x-19=0$; $S_3$; $h_K=1$+- params:+ D: '3753'+ k: '1'+ s: '-3'+ number: 22492621/15+ comment: $x^3-15x-19=0$; $S_3$; $h_K=1$+- params:+ D: '3753'+ k: '1'+ s: '-5'+ number: -170782991970770/63+ comment: $x^3-15x-19=0$; $S_3$; $h_K=1$+- params:+ D: '3873'+ k: '1'+ s: '-1'+ number: -131/3+ comment: $x^3-x^2-16x-17=0$; $S_3$; $h_K=1$+- params:+ D: '3873'+ k: '1'+ s: '-3'+ number: 50858381/30+ comment: $x^3-x^2-16x-17=0$; $S_3$; $h_K=1$+- params:+ D: '3873'+ k: '1'+ s: '-5'+ number: -203338860822581/63+ comment: $x^3-x^2-16x-17=0$; $S_3$; $h_K=1$+- params:+ D: '3877'+ k: '1'+ s: '-1'+ number: -146/3+ comment: $x^3-x^2-13x-10=0$; $S_3$; $h_K=1$+- params:+ D: '3877'+ k: '1'+ s: '-3'+ number: 26658481/15+ comment: $x^3-x^2-13x-10=0$; $S_3$; $h_K=1$+- params:+ D: '3877'+ k: '1'+ s: '-5'+ number: -207224234733626/63+ comment: $x^3-x^2-13x-10=0$; $S_3$; $h_K=1$+- params:+ D: '3889'+ k: '1'+ s: '-1'+ number: -106/3+ comment: $x^3-x^2-10x-1=0$; $S_3$; $h_K=1$+- params:+ D: '3889'+ k: '1'+ s: '-3'+ number: 25154987/15+ comment: $x^3-x^2-10x-1=0$; $S_3$; $h_K=1$+- params:+ D: '3889'+ k: '1'+ s: '-5'+ number: -29631963017578/9+ comment: $x^3-x^2-10x-1=0$; $S_3$; $h_K=1$+- params:+ D: '3892'+ k: '1'+ s: '-1'+ number: -143/3+ comment: $x^3-10x-2=0$; $S_3$; $h_K=1$+- params:+ D: '3892'+ k: '1'+ s: '-3'+ number: 53864951/30+ comment: $x^3-10x-2=0$; $S_3$; $h_K=1$+- params:+ D: '3892'+ k: '1'+ s: '-5'+ number: -211622895914783/63+ comment: $x^3-10x-2=0$; $S_3$; $h_K=1$+- params:+ D: '3941'+ k: '1'+ s: '-1'+ number: -166/3+ comment: $x^3-17x-12=0$; $S_3$; $h_K=1$+- params:+ D: '3941'+ k: '1'+ s: '-3'+ number: 5710915/3+ comment: $x^3-17x-12=0$; $S_3$; $h_K=1$+- params:+ D: '3941'+ k: '1'+ s: '-5'+ number: -227050242293806/63+ comment: $x^3-17x-12=0$; $S_3$; $h_K=1$+- params:+ D: '3957'+ k: '1'+ s: '-1'+ number: '-62'+ comment: $x^3-x^2-18x-12=0$; $S_3$; $h_K=1$+- params:+ D: '3957'+ k: '1'+ s: '-3'+ number: 9781311/5+ comment: $x^3-x^2-18x-12=0$; $S_3$; $h_K=1$+- params:+ D: '3957'+ k: '1'+ s: '-5'+ number: -77498725997302/21+ comment: $x^3-x^2-18x-12=0$; $S_3$; $h_K=1$+- params:+ D: '3969'+ k: '1'+ s: '-1'+ number: -133/3+ comment: $x^3-21x-35=0$; $C_3$, conductor $63$; $h_K=3$; a cyclic cubic field of+ conductor $63$+- params:+ D: '3969'+ k: '1'+ s: '-3'+ number: 54922771/30+ comment: $x^3-21x-35=0$; $C_3$, conductor $63$; $h_K=3$; a cyclic cubic field of+ conductor $63$+- params:+ D: '3969'+ k: '1'+ s: '-5'+ number: -232363717924243/63+ comment: $x^3-21x-35=0$; $C_3$, conductor $63$; $h_K=3$; a cyclic cubic field of+ conductor $63$+- params:+ D: '3969'+ k: '2'+ s: '-1'+ number: -268/3+ comment: $x^3-21x-28=0$; $C_3$, conductor $63$; $h_K=3$; a cyclic cubic field of+ conductor $63$+- params:+ D: '3969'+ k: '2'+ s: '-3'+ number: 33153134/15+ comment: $x^3-21x-28=0$; $C_3$, conductor $63$; $h_K=3$; a cyclic cubic field of+ conductor $63$+- params:+ D: '3969'+ k: '2'+ s: '-5'+ number: -243557105345068/63+ comment: $x^3-21x-28=0$; $C_3$, conductor $63$; $h_K=3$; a cyclic cubic field of+ conductor $63$+- params:+ D: '3973'+ k: '1'+ s: '-1'+ number: '-50'+ comment: $x^3-10x-1=0$; $S_3$; $h_K=1$+- params:+ D: '3973'+ k: '1'+ s: '-3'+ number: '1935461'+ comment: $x^3-10x-1=0$; $S_3$; $h_K=1$+- params:+ D: '3973'+ k: '1'+ s: '-5'+ number: -79020746993210/21+ comment: $x^3-10x-1=0$; $S_3$; $h_K=1$+- params:+ D: '3981'+ k: '1'+ s: '-1'+ number: -184/3+ comment: $x^3-x^2-11x+12=0$; $S_3$; $h_K=2$+- params:+ D: '3981'+ k: '1'+ s: '-3'+ number: 5987128/3+ comment: $x^3-x^2-11x+12=0$; $S_3$; $h_K=2$+- params:+ D: '3981'+ k: '1'+ s: '-5'+ number: -240345143251144/63+ comment: $x^3-x^2-11x+12=0$; $S_3$; $h_K=2$+- params:+ D: '3988'+ k: '1'+ s: '-1'+ number: '-48'+ comment: $x^3-16x-4=0$; $S_3$; $h_K=1$+- params:+ D: '3988'+ k: '1'+ s: '-3'+ number: 9771316/5+ comment: $x^3-16x-4=0$; $S_3$; $h_K=1$+- params:+ D: '3988'+ k: '1'+ s: '-5'+ number: -80656601806048/21+ comment: $x^3-16x-4=0$; $S_3$; $h_K=1$+- params:+ D: '4001'+ k: '1'+ s: '-1'+ number: '-42'+ comment: $x^3-11x-7=0$; $S_3$; $h_K=1$+- params:+ D: '4001'+ k: '1'+ s: '-3'+ number: 9378599/5+ comment: $x^3-11x-7=0$; $S_3$; $h_K=1$+- params:+ D: '4001'+ k: '1'+ s: '-5'+ number: -80938034850902/21+ comment: $x^3-11x-7=0$; $S_3$; $h_K=1$+- params:+ D: '4065'+ k: '1'+ s: '-1'+ number: '-49'+ comment: $x^3-x^2-10x+7=0$; $S_3$; $h_K=1$+- params:+ D: '4065'+ k: '1'+ s: '-3'+ number: 20118783/10+ comment: $x^3-x^2-10x+7=0$; $S_3$; $h_K=1$+- params:+ D: '4065'+ k: '1'+ s: '-5'+ number: -88450829640119/21+ comment: $x^3-x^2-10x+7=0$; $S_3$; $h_K=1$+- params:+ D: '4104'+ k: '1'+ s: '-1'+ number: -214/3+ comment: $x^3-18x-16=0$; $S_3$; $h_K=1$+- params:+ D: '4104'+ k: '1'+ s: '-3'+ number: 34934837/15+ comment: $x^3-18x-16=0$; $S_3$; $h_K=1$+- params:+ D: '4104'+ k: '1'+ s: '-5'+ number: -288172712869834/63+ comment: $x^3-18x-16=0$; $S_3$; $h_K=1$+- params:+ D: '4193'+ k: '1'+ s: '-1'+ number: -137/3+ comment: $x^3-x^2-12x-7=0$; $S_3$; $h_K=1$+- params:+ D: '4193'+ k: '1'+ s: '-3'+ number: 66378167/30+ comment: $x^3-x^2-12x-7=0$; $S_3$; $h_K=1$+- params:+ D: '4193'+ k: '1'+ s: '-5'+ number: -314237171467967/63+ comment: $x^3-x^2-12x-7=0$; $S_3$; $h_K=1$+- params:+ D: '4212'+ k: '1'+ s: '-1'+ number: -176/3+ comment: $x^3-12x-10=0$; $S_3$; $h_K=3$+- params:+ D: '4212'+ k: '1'+ s: '-3'+ number: 35937964/15+ comment: $x^3-12x-10=0$; $S_3$; $h_K=3$+- params:+ D: '4212'+ k: '1'+ s: '-5'+ number: -327257898969536/63+ comment: $x^3-12x-10=0$; $S_3$; $h_K=3$+- params:+ D: '4281'+ k: '1'+ s: '-1'+ number: '-54'+ comment: $x^3-x^2-12x+15=0$; $S_3$; $h_K=1$+- params:+ D: '4281'+ k: '1'+ s: '-3'+ number: '2414421'+ comment: $x^3-x^2-12x+15=0$; $S_3$; $h_K=1$+- params:+ D: '4281'+ k: '1'+ s: '-5'+ number: -39198594448878/7+ comment: $x^3-x^2-12x+15=0$; $S_3$; $h_K=1$+- params:+ D: '4312'+ k: '1'+ s: '-1'+ number: '-72'+ comment: $x^3-x^2-16x+8=0$; $S_3$; $h_K=3$+- params:+ D: '4312'+ k: '1'+ s: '-3'+ number: 13700528/5+ comment: $x^3-x^2-16x+8=0$; $S_3$; $h_K=3$+- params:+ D: '4312'+ k: '1'+ s: '-5'+ number: -125909757330632/21+ comment: $x^3-x^2-16x+8=0$; $S_3$; $h_K=3$+- params:+ D: '4344'+ k: '1'+ s: '-1'+ number: '-86'+ comment: $x^3-x^2-16x+4=0$; $S_3$; $h_K=1$+- params:+ D: '4344'+ k: '1'+ s: '-3'+ number: 14383641/5+ comment: $x^3-x^2-16x+4=0$; $S_3$; $h_K=1$+- params:+ D: '4344'+ k: '1'+ s: '-5'+ number: -131486412659866/21+ comment: $x^3-x^2-16x+4=0$; $S_3$; $h_K=1$+- params:+ D: '4345'+ k: '1'+ s: '-1'+ number: '-44'+ comment: $x^3-x^2-10x+5=0$; $S_3$; $h_K=1$+- params:+ D: '4345'+ k: '1'+ s: '-3'+ number: '2478242'+ comment: $x^3-x^2-10x+5=0$; $S_3$; $h_K=1$+- params:+ D: '4345'+ k: '1'+ s: '-5'+ number: -127239195659444/21+ comment: $x^3-x^2-10x+5=0$; $S_3$; $h_K=1$+- params:+ D: '4360'+ k: '1'+ s: '-1'+ number: -226/3+ comment: $x^3-x^2-10x+2=0$; $S_3$; $h_K=1$+- params:+ D: '4360'+ k: '1'+ s: '-3'+ number: 42789359/15+ comment: $x^3-x^2-10x+2=0$; $S_3$; $h_K=1$+- params:+ D: '4360'+ k: '1'+ s: '-5'+ number: -401467678752766/63+ comment: $x^3-x^2-10x+2=0$; $S_3$; $h_K=1$+- params:+ D: '4364'+ k: '1'+ s: '-1'+ number: -238/3+ comment: $x^3-x^2-19x+27=0$; $S_3$; $h_K=1$+- params:+ D: '4364'+ k: '1'+ s: '-3'+ number: 8666509/3+ comment: $x^3-x^2-19x+27=0$; $S_3$; $h_K=1$+- params:+ D: '4364'+ k: '1'+ s: '-5'+ number: -404001063374098/63+ comment: $x^3-x^2-19x+27=0$; $S_3$; $h_K=1$+- params:+ D: '4409'+ k: '1'+ s: '-1'+ number: '-47'+ comment: $x^3-x^2-10x+3=0$; $S_3$; $h_K=1$+- params:+ D: '4409'+ k: '1'+ s: '-3'+ number: 26329097/10+ comment: $x^3-x^2-10x+3=0$; $S_3$; $h_K=1$+- params:+ D: '4409'+ k: '1'+ s: '-5'+ number: -138066747264377/21+ comment: $x^3-x^2-10x+3=0$; $S_3$; $h_K=1$+- params:+ D: '4481'+ k: '1'+ s: '-1'+ number: -320/3+ comment: $x^3-17x-8=0$; $S_3$; $h_K=1$+- params:+ D: '4481'+ k: '1'+ s: '-3'+ number: 50680936/15+ comment: $x^3-17x-8=0$; $S_3$; $h_K=1$+- params:+ D: '4481'+ k: '1'+ s: '-5'+ number: -474694388465120/63+ comment: $x^3-17x-8=0$; $S_3$; $h_K=1$+- params:+ D: '4489'+ k: '1'+ s: '-1'+ number: -193/3+ comment: $x^3-x^2-22x-5=0$; $C_3$, conductor $67$; $h_K=1$; the cubic subfield of+ $\mathbb{Q}(\zeta_{67})$+- params:+ D: '4489'+ k: '1'+ s: '-3'+ number: 86578159/30+ comment: $x^3-x^2-22x-5=0$; $C_3$, conductor $67$; $h_K=1$; the cubic subfield of+ $\mathbb{Q}(\zeta_{67})$+- params:+ D: '4489'+ k: '1'+ s: '-5'+ number: -458598853953703/63+ comment: $x^3-x^2-22x-5=0$; $C_3$, conductor $67$; $h_K=1$; the cubic subfield of+ $\mathbb{Q}(\zeta_{67})$+- params:+ D: '4493'+ k: '1'+ s: '-1'+ number: -206/3+ comment: $x^3-x^2-13x+18=0$; $S_3$; $h_K=1$+- params:+ D: '4493'+ k: '1'+ s: '-3'+ number: 45231727/15+ comment: $x^3-x^2-13x+18=0$; $S_3$; $h_K=1$+- params:+ D: '4493'+ k: '1'+ s: '-5'+ number: -466939890731366/63+ comment: $x^3-x^2-13x+18=0$; $S_3$; $h_K=1$+- params:+ D: '4596'+ k: '1'+ s: '-1'+ number: '-74'+ comment: $x^3-x^2-11x-3=0$; $S_3$; $h_K=1$+- params:+ D: '4596'+ k: '1'+ s: '-3'+ number: 16446369/5+ comment: $x^3-x^2-11x-3=0$; $S_3$; $h_K=1$+- params:+ D: '4596'+ k: '1'+ s: '-5'+ number: -176501503133434/21+ comment: $x^3-x^2-11x-3=0$; $S_3$; $h_K=1$+- params:+ D: '4597'+ k: '1'+ s: '-1'+ number: -190/3+ comment: $x^3-x^2-15x-14=0$; $S_3$; $h_K=1$+- params:+ D: '4597'+ k: '1'+ s: '-3'+ number: 9679003/3+ comment: $x^3-x^2-15x-14=0$; $S_3$; $h_K=1$+- params:+ D: '4597'+ k: '1'+ s: '-5'+ number: -528839319522070/63+ comment: $x^3-x^2-15x-14=0$; $S_3$; $h_K=1$+- params:+ D: '4628'+ k: '1'+ s: '-1'+ number: '-67'+ comment: $x^3-x^2-13x-9=0$; $S_3$; $h_K=1$+- params:+ D: '4628'+ k: '1'+ s: '-3'+ number: 33305291/10+ comment: $x^3-x^2-13x-9=0$; $S_3$; $h_K=1$+- params:+ D: '4628'+ k: '1'+ s: '-5'+ number: -61041075977009/7+ comment: $x^3-x^2-13x-9=0$; $S_3$; $h_K=1$+- params:+ D: '4641'+ k: '1'+ s: '-1'+ number: '-57'+ comment: $x^3-x^2-14x+21=0$; $S_3$; $h_K=1$+- params:+ D: '4641'+ k: '1'+ s: '-3'+ number: 6380955/2+ comment: $x^3-x^2-14x+21=0$; $S_3$; $h_K=1$+- params:+ D: '4641'+ k: '1'+ s: '-5'+ number: -61102581757829/7+ comment: $x^3-x^2-14x+21=0$; $S_3$; $h_K=1$+- params:+ D: '4649'+ k: '1'+ s: '-1'+ number: -166/3+ comment: $x^3-11x-5=0$; $S_3$; $h_K=1$+- params:+ D: '4649'+ k: '1'+ s: '-3'+ number: 47746289/15+ comment: $x^3-11x-5=0$; $S_3$; $h_K=1$+- params:+ D: '4649'+ k: '1'+ s: '-5'+ number: -554493558816346/63+ comment: $x^3-11x-5=0$; $S_3$; $h_K=1$+- params:+ D: '4684'+ k: '1'+ s: '-1'+ number: -232/3+ comment: $x^3-x^2-19x-13=0$; $S_3$; $h_K=1$+- params:+ D: '4684'+ k: '1'+ s: '-3'+ number: 54797672/15+ comment: $x^3-x^2-19x-13=0$; $S_3$; $h_K=1$+- params:+ D: '4684'+ k: '1'+ s: '-5'+ number: -595399831417672/63+ comment: $x^3-x^2-19x-13=0$; $S_3$; $h_K=1$+- params:+ D: '4692'+ k: '1'+ s: '-1'+ number: -227/3+ comment: $x^3-x^2-17x-3=0$; $S_3$; $h_K=1$+- params:+ D: '4692'+ k: '1'+ s: '-3'+ number: 106126211/30+ comment: $x^3-x^2-17x-3=0$; $S_3$; $h_K=1$+- params:+ D: '4692'+ k: '1'+ s: '-5'+ number: -84755412176261/9+ comment: $x^3-x^2-17x-3=0$; $S_3$; $h_K=1$+- params:+ D: '4729'+ k: '1'+ s: '-1'+ number: '-44'+ comment: $x^3-19x-29=0$; $S_3$; $h_K=1$+- params:+ D: '4729'+ k: '1'+ s: '-3'+ number: 16603246/5+ comment: $x^3-19x-29=0$; $S_3$; $h_K=1$+- params:+ D: '4729'+ k: '1'+ s: '-5'+ number: -28956795690332/3+ comment: $x^3-19x-29=0$; $S_3$; $h_K=1$+- params:+ D: '4749'+ k: '1'+ s: '-1'+ number: '-80'+ comment: $x^3-x^2-15x+24=0$; $S_3$; $h_K=1$+- params:+ D: '4749'+ k: '1'+ s: '-3'+ number: 18501348/5+ comment: $x^3-x^2-15x+24=0$; $S_3$; $h_K=1$+- params:+ D: '4749'+ k: '1'+ s: '-5'+ number: -30197501684800/3+ comment: $x^3-x^2-15x+24=0$; $S_3$; $h_K=1$+- params:+ D: '4764'+ k: '1'+ s: '-1'+ number: -296/3+ comment: $x^3-x^2-12x-6=0$; $S_3$; $h_K=1$+- params:+ D: '4764'+ k: '1'+ s: '-3'+ number: 59601988/15+ comment: $x^3-x^2-12x-6=0$; $S_3$; $h_K=1$+- params:+ D: '4764'+ k: '1'+ s: '-5'+ number: -93616962560648/9+ comment: $x^3-x^2-12x-6=0$; $S_3$; $h_K=1$+- params:+ D: '4765'+ k: '1'+ s: '-1'+ number: -208/3+ comment: $x^3-x^2-11x+10=0$; $S_3$; $h_K=1$+- params:+ D: '4765'+ k: '1'+ s: '-3'+ number: 10992148/3+ comment: $x^3-x^2-11x+10=0$; $S_3$; $h_K=1$+- params:+ D: '4765'+ k: '1'+ s: '-5'+ number: -644299412350528/63+ comment: $x^3-x^2-11x+10=0$; $S_3$; $h_K=1$+- params:+ D: '4825'+ k: '1'+ s: '-1'+ number: -332/3+ comment: $x^3-x^2-18x-8=0$; $S_3$; $h_K=1$+- params:+ D: '4825'+ k: '1'+ s: '-3'+ number: 64946278/15+ comment: $x^3-x^2-18x-8=0$; $S_3$; $h_K=1$+- params:+ D: '4825'+ k: '1'+ s: '-5'+ number: -712062845170892/63+ comment: $x^3-x^2-18x-8=0$; $S_3$; $h_K=1$+- params:+ D: '4841'+ k: '1'+ s: '-1'+ number: '-53'+ comment: $x^3-x^2-16x+27=0$; $S_3$; $h_K=1$+- params:+ D: '4841'+ k: '1'+ s: '-3'+ number: 36503651/10+ comment: $x^3-x^2-16x+27=0$; $S_3$; $h_K=1$+- params:+ D: '4841'+ k: '1'+ s: '-5'+ number: -32980692153029/3+ comment: $x^3-x^2-16x+27=0$; $S_3$; $h_K=1$+- params:+ D: '4844'+ k: '1'+ s: '-1'+ number: '-94'+ comment: $x^3-x^2-12x+14=0$; $S_3$; $h_K=1$+- params:+ D: '4844'+ k: '1'+ s: '-3'+ number: 20819533/5+ comment: $x^3-x^2-12x+14=0$; $S_3$; $h_K=1$+- params:+ D: '4844'+ k: '1'+ s: '-5'+ number: -79689329891238/7+ comment: $x^3-x^2-12x+14=0$; $S_3$; $h_K=1$+- params:+ D: '4852'+ k: '1'+ s: '-1'+ number: '-67'+ comment: $x^3-x^2-17x+13=0$; $S_3$; $h_K=1$+- params:+ D: '4852'+ k: '1'+ s: '-3'+ number: 38853483/10+ comment: $x^3-x^2-17x+13=0$; $S_3$; $h_K=1$+- params:+ D: '4852'+ k: '1'+ s: '-5'+ number: -237169225427027/21+ comment: $x^3-x^2-17x+13=0$; $S_3$; $h_K=1$+- params:+ D: '4853'+ k: '1'+ s: '-1'+ number: '-76'+ comment: $x^3-x^2-18x+20=0$; $S_3$; $h_K=1$+- params:+ D: '4853'+ k: '1'+ s: '-3'+ number: '3947714'+ comment: $x^3-x^2-18x+20=0$; $S_3$; $h_K=1$+- params:+ D: '4853'+ k: '1'+ s: '-5'+ number: -79272258025412/7+ comment: $x^3-x^2-18x+20=0$; $S_3$; $h_K=1$+- params:+ D: '4857'+ k: '1'+ s: '-1'+ number: '-62'+ comment: $x^3-x^2-18x-21=0$; $S_3$; $h_K=1$+- params:+ D: '4857'+ k: '1'+ s: '-3'+ number: '3745437'+ comment: $x^3-x^2-18x-21=0$; $S_3$; $h_K=1$+- params:+ D: '4857'+ k: '1'+ s: '-5'+ number: -235432148626162/21+ comment: $x^3-x^2-18x-21=0$; $S_3$; $h_K=1$+- params:+ D: '4860'+ k: '1'+ s: '-1'+ number: -292/3+ comment: $x^3-18x-12=0$; $S_3$; $h_K=1$+- params:+ D: '4860'+ k: '1'+ s: '-3'+ number: 12664810/3+ comment: $x^3-18x-12=0$; $S_3$; $h_K=1$+- params:+ D: '4860'+ k: '1'+ s: '-5'+ number: -730410181396972/63+ comment: $x^3-18x-12=0$; $S_3$; $h_K=1$+- params:+ D: '4892'+ k: '1'+ s: '-1'+ number: -292/3+ comment: $x^3-11x-4=0$; $S_3$; $h_K=1$+- params:+ D: '4892'+ k: '1'+ s: '-3'+ number: 64730018/15+ comment: $x^3-11x-4=0$; $S_3$; $h_K=1$+- params:+ D: '4892'+ k: '1'+ s: '-5'+ number: -757215787088812/63+ comment: $x^3-11x-4=0$; $S_3$; $h_K=1$+- params:+ D: '4933'+ k: '1'+ s: '-1'+ number: '-70'+ comment: $x^3-x^2-11x-2=0$; $S_3$; $h_K=1$+- params:+ D: '4933'+ k: '1'+ s: '-3'+ number: '4129611'+ comment: $x^3-x^2-11x-2=0$; $S_3$; $h_K=1$+- params:+ D: '4933'+ k: '1'+ s: '-5'+ number: -259838561755310/21+ comment: $x^3-x^2-11x-2=0$; $S_3$; $h_K=1$
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