LMFDB - Embedded newform 175.4.x.a.103.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [175,4,Mod(3,175)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(175, base_ring=CyclotomicField(60))

chi = DirichletCharacter(H, H._module([21, 10]))

N = Newforms(chi, 4, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("175.3");

S:= CuspForms(chi, 4);

N := Newforms(S);

Level:	$ N $	$=$	$ 175 = 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 4 $
Character orbit:	$[\chi]$	$=$	175.x (of order $60$, degree $16$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$10.3253342510$
Analytic rank:	$0$
Dimension:	$928$
Relative dimension:	$58$ over $\Q(\zeta_{60})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label			103.4
Character	$\chi$	$=$	175.103
Dual form			175.4.x.a.17.4

$q$-expansion

comment: q-expansion

sage: f.q_expansion() # note that sage often uses an isomorphic number field

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-5.09842 - 0.267197i) q^{2} +(-3.82466 - 4.72307i) q^{3} +(17.9663 + 1.88833i) q^{4} +(3.95741 + 10.4565i) q^{5} +(18.2377 + 25.1021i) q^{6} +(-12.8352 + 13.3513i) q^{7} +(-50.7546 - 8.03874i) q^{8} +(-2.06569 + 9.71831i) q^{9} +(-17.3826 - 54.3691i) q^{10} +(21.9143 - 4.65803i) q^{11} +(-59.7963 - 92.0782i) q^{12} +(33.3392 + 16.9872i) q^{13} +(69.0067 - 64.6409i) q^{14} +(34.2511 - 58.6838i) q^{15} +(115.256 + 24.4985i) q^{16} +(-29.1652 - 75.9779i) q^{17} +(13.1285 - 48.9961i) q^{18} +(3.31790 + 31.5677i) q^{19} +(51.3546 + 195.338i) q^{20} +(112.149 + 9.55740i) q^{21} +(-112.973 + 17.8932i) q^{22} +(6.55046 - 124.990i) q^{23} +(156.152 + 270.463i) q^{24} +(-93.6778 + 82.7615i) q^{25} +(-165.438 - 95.5158i) q^{26} +(-92.4055 + 47.0830i) q^{27} +(-255.813 + 215.636i) q^{28} +(-55.2822 + 76.0894i) q^{29} +(-190.307 + 290.043i) q^{30} +(40.3079 - 90.5331i) q^{31} +(-183.988 - 49.2996i) q^{32} +(-105.815 - 85.6874i) q^{33} +(128.395 + 395.160i) q^{34} +(-190.402 - 81.3753i) q^{35} +(-55.4642 + 170.701i) q^{36} +(-273.490 + 177.607i) q^{37} +(-8.48126 - 161.832i) q^{38} +(-47.2797 - 222.434i) q^{39} +(-116.799 - 562.529i) q^{40} +(-32.4428 + 10.5413i) q^{41} +(-569.231 - 78.6936i) q^{42} +(359.144 + 359.144i) q^{43} +(402.515 - 42.3060i) q^{44} +(-109.795 + 16.8594i) q^{45} +(-66.7939 + 635.502i) q^{46} +(-373.390 - 143.331i) q^{47} +(-325.109 - 638.062i) q^{48} +(-13.5141 - 342.734i) q^{49} +(499.722 - 396.922i) q^{50} +(-247.302 + 428.339i) q^{51} +(566.904 + 368.152i) q^{52} +(-164.489 + 133.201i) q^{53} +(483.702 - 215.358i) q^{54} +(135.431 + 210.714i) q^{55} +(758.774 - 574.460i) q^{56} +(136.407 - 136.407i) q^{57} +(302.182 - 373.164i) q^{58} +(-169.195 + 187.910i) q^{59} +(726.180 - 989.653i) q^{60} +(-630.503 + 567.708i) q^{61} +(-229.697 + 450.805i) q^{62} +(-103.238 - 152.316i) q^{63} +(28.3642 + 9.21610i) q^{64} +(-45.6899 + 415.837i) q^{65} +(516.594 + 465.144i) q^{66} +(299.894 - 115.119i) q^{67} +(-380.518 - 1420.11i) q^{68} +(-615.390 + 447.107i) q^{69} +(949.007 + 465.760i) q^{70} +(-541.294 - 393.273i) q^{71} +(182.966 - 476.643i) q^{72} +(-161.739 + 249.056i) q^{73} +(1441.82 - 832.436i) q^{74} +(749.174 + 125.912i) q^{75} +573.420i q^{76} +(-219.084 + 352.371i) q^{77} +(181.618 + 1146.69i) q^{78} +(-371.333 - 834.027i) q^{79} +(199.947 + 1302.13i) q^{80} +(820.861 + 365.471i) q^{81} +(168.223 - 45.0753i) q^{82} +(224.817 - 1419.44i) q^{83} +(1996.86 + 383.487i) q^{84} +(679.046 - 605.642i) q^{85} +(-1735.10 - 1927.03i) q^{86} +(570.811 - 29.9149i) q^{87} +(-1149.70 + 60.2531i) q^{88} +(-375.860 - 417.435i) q^{89} +(564.283 - 56.6195i) q^{90} +(-654.717 + 227.087i) q^{91} +(353.710 - 2233.24i) q^{92} +(-581.758 + 155.882i) q^{93} +(1865.40 + 830.529i) q^{94} +(-316.959 + 159.620i) q^{95} +(470.849 + 1057.54i) q^{96} +(4.41746 + 27.8907i) q^{97} +(-22.6768 + 1751.01i) q^{98} +222.592i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 928 q - 8 q^{2} - 24 q^{3} - 10 q^{4} - 24 q^{7} + 84 q^{8} - 10 q^{9} - 96 q^{10} - 6 q^{11} - 72 q^{12} - 20 q^{14} - 368 q^{15} - 1670 q^{16} + 120 q^{17} - 14 q^{18} - 30 q^{19} - 12 q^{21} - 880 q^{22}+ \cdots - 19478 q^{98}+O(q^{100}) $ 928 * q - 8 * q^2 - 24 * q^3 - 10 * q^4 - 24 * q^7 + 84 * q^8 - 10 * q^9 - 96 * q^10 - 6 * q^11 - 72 * q^12 - 20 * q^14 - 368 * q^15 - 1670 * q^16 + 120 * q^17 - 14 * q^18 - 30 * q^19 - 12 * q^21 - 880 * q^22 + 296 * q^23 + 32 * q^25 - 48 * q^26 + 226 * q^28 - 200 * q^29 - 38 * q^30 - 18 * q^31 - 964 * q^32 - 1092 * q^33 + 288 * q^35 + 7400 * q^36 - 392 * q^37 + 5424 * q^38 + 2430 * q^39 + 2172 * q^40 - 2098 * q^42 + 1560 * q^43 - 10 * q^44 - 4224 * q^45 - 6 * q^46 + 96 * q^47 + 6232 * q^50 - 16 * q^51 - 8928 * q^52 - 2384 * q^53 - 30 * q^54 + 244 * q^56 + 1556 * q^57 + 640 * q^58 + 4890 * q^59 + 3676 * q^60 - 18 * q^61 + 224 * q^63 - 9700 * q^64 - 1116 * q^65 - 2610 * q^66 - 2404 * q^67 - 13614 * q^68 - 1700 * q^70 - 24 * q^71 - 518 * q^72 - 4200 * q^73 - 16104 * q^75 - 722 * q^77 - 356 * q^78 - 10 * q^79 + 6414 * q^80 - 6810 * q^81 + 1692 * q^82 + 20620 * q^84 + 2712 * q^85 - 6 * q^86 + 9102 * q^87 + 1650 * q^88 + 20370 * q^89 - 12 * q^91 + 1612 * q^92 - 4604 * q^93 - 30 * q^94 + 1652 * q^95 - 2610 * q^96 - 19478 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/175\mathbb{Z}\right)^\times$.

$n$	$101$	$127$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{7}{20}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−5.09842	−	0.267197i	−1.80256	−	0.0944683i	−0.878743	−	0.477296i	$-0.841617\pi$
$2$	−5.09842	−	0.267197i	−1.80256	−	0.0944683i	−0.923820	+	0.382828i	$0.874950\pi$
$3$	−3.82466	−	4.72307i	−0.736057	−	0.908955i	0.262373	−	0.964967i	$-0.415495\pi$
$3$	−3.82466	−	4.72307i	−0.736057	−	0.908955i	−0.998430	+	0.0560118i	$0.982162\pi$
$4$	17.9663	+	1.88833i	2.24579	+	0.236042i
$5$	3.95741	+	10.4565i	0.353962	+	0.935260i
$5$	3.95741	+	10.4565i	0.353962	+	0.935260i
$6$	18.2377	+	25.1021i	1.24092	+	1.70798i
$7$	−12.8352	+	13.3513i	−0.693037	+	0.720902i
$7$	−12.8352	+	13.3513i	−0.693037	+	0.720902i
$8$	−50.7546	−	8.03874i	−2.24306	−	0.355265i
$9$	−2.06569	+	9.71831i	−0.0765071	+	0.359937i
$10$	−17.3826	−	54.3691i	−0.549685	−	1.71930i
$11$	21.9143	−	4.65803i	0.600674	−	0.127677i	0.102469	−	0.994736i	$-0.467326\pi$
$11$	21.9143	−	4.65803i	0.600674	−	0.127677i	0.498206	+	0.867059i	$0.333992\pi$
$12$	−59.7963	−	92.0782i	−1.43848	−	2.21506i
$13$	33.3392	+	16.9872i	0.711279	+	0.362415i	0.771898	−	0.635746i	$-0.219307\pi$
$13$	33.3392	+	16.9872i	0.711279	+	0.362415i	−0.0606190	+	0.998161i	$0.519307\pi$
$14$	69.0067	−	64.6409i	1.31734	−	1.23400i
$15$	34.2511	−	58.6838i	0.589573	−	1.01014i
$16$	115.256	+	24.4985i	1.80088	+	0.382789i
$17$	−29.1652	−	75.9779i	−0.416094	−	1.08396i	−0.968198	−	0.250186i	$-0.919508\pi$
$17$	−29.1652	−	75.9779i	−0.416094	−	1.08396i	0.552104	−	0.833775i	$-0.313825\pi$
$18$	13.1285	−	48.9961i	0.171911	−	0.641582i
$19$	3.31790	+	31.5677i	0.0400621	+	0.381165i	0.996121	+	0.0879914i	$0.0280448\pi$
$19$	3.31790	+	31.5677i	0.0400621	+	0.381165i	−0.956059	+	0.293174i	$0.905289\pi$
$20$	51.3546	+	195.338i	0.574162	+	2.18394i
$21$	112.149	+	9.55740i	1.16538	+	0.0993141i
$22$	−112.973	+	17.8932i	−1.09481	+	0.173402i
$23$	6.55046	−	124.990i	0.0593854	−	1.13314i	−0.792657	−	0.609668i	$-0.791303\pi$
$23$	6.55046	−	124.990i	0.0593854	−	1.13314i	0.852042	−	0.523473i	$-0.175364\pi$
$24$	156.152	+	270.463i	1.32810	+	2.30033i
$25$	−93.6778	+	82.7615i	−0.749422	+	0.662092i
$26$	−165.438	−	95.5158i	−1.24789	−	0.720469i
$27$	−92.4055	+	47.0830i	−0.658646	+	0.335597i
$28$	−255.813	+	215.636i	−1.72658	+	1.45541i
$29$	−55.2822	+	76.0894i	−0.353988	+	0.487222i	−0.948461	−	0.316893i	$-0.897360\pi$
$29$	−55.2822	+	76.0894i	−0.353988	+	0.487222i	0.594474	+	0.804115i	$0.297360\pi$
$30$	−190.307	+	290.043i	−1.15817	+	1.76514i
$31$	40.3079	−	90.5331i	0.233533	−	0.524523i	−0.758325	−	0.651877i	$-0.773982\pi$
$31$	40.3079	−	90.5331i	0.233533	−	0.524523i	0.991857	+	0.127354i	$0.0406484\pi$
$32$	−183.988	−	49.2996i	−1.01640	−	0.272344i
$33$	−105.815	−	85.6874i	−0.558183	−	0.452008i
$34$	128.395	+	395.160i	0.647635	+	1.99322i
$35$	−190.402	−	81.3753i	−0.919539	−	0.392998i
$36$	−55.4642	+	170.701i	−0.256779	+	0.790283i
$37$	−273.490	+	177.607i	−1.21518	+	0.789144i	−0.983014	−	0.183533i	$-0.941247\pi$
$37$	−273.490	+	177.607i	−1.21518	+	0.789144i	−0.232162	+	0.972677i	$0.574580\pi$
$38$	−8.48126	−	161.832i	−0.0362064	−	0.690859i
$39$	−47.2797	−	222.434i	−0.194123	−	0.913279i
$40$	−116.799	−	562.529i	−0.461691	−	2.22359i
$41$	−32.4428	+	10.5413i	−0.123578	+	0.0401530i	−0.370153	−	0.928971i	$-0.620695\pi$
$41$	−32.4428	+	10.5413i	−0.123578	+	0.0401530i	0.246575	+	0.969124i	$0.420695\pi$
$42$	−569.231	−	78.6936i	−2.09129	−	0.289112i
$43$	359.144	+	359.144i	1.27370	+	1.27370i	0.944133	+	0.329564i	$0.106902\pi$
$43$	359.144	+	359.144i	1.27370	+	1.27370i	0.329564	+	0.944133i	$0.393098\pi$
$44$	402.515	−	42.3060i	1.37912	−	0.144952i
$45$	−109.795	+	16.8594i	−0.363716	+	0.0558500i
$46$	−66.7939	+	635.502i	−0.214092	+	2.03695i
$47$	−373.390	−	143.331i	−1.15882	−	0.444829i	−0.298412	−	0.954437i	$-0.596457\pi$
$47$	−373.390	−	143.331i	−1.15882	−	0.444829i	−0.860407	+	0.509608i	$0.829790\pi$
$48$	−325.109	−	638.062i	−0.977612	−	1.91867i
$49$	−13.5141	−	342.734i	−0.0393997	−	0.999224i
$50$	499.722	−	396.922i	1.41343	−	1.12267i
$51$	−247.302	+	428.339i	−0.679003	+	1.17607i
$52$	566.904	+	368.152i	1.51184	+	0.981798i
$53$	−164.489	+	133.201i	−0.426309	+	0.345218i	−0.818340	−	0.574734i	$-0.805106\pi$
$53$	−164.489	+	133.201i	−0.426309	+	0.345218i	0.392032	+	0.919952i	$0.371772\pi$
$54$	483.702	−	215.358i	1.21895	−	0.542713i
$55$	135.431	+	210.714i	0.332027	+	0.516594i
$56$	758.774	−	574.460i	1.81063	−	1.37081i
$57$	136.407	−	136.407i	0.316974	−	0.316974i
$58$	302.182	−	373.164i	0.684112	−	0.844808i
$59$	−169.195	+	187.910i	−0.373345	+	0.414642i	−0.900313	−	0.435244i	$-0.856662\pi$
$59$	−169.195	+	187.910i	−0.373345	+	0.414642i	0.526968	+	0.849885i	$0.323329\pi$
$60$	726.180	−	989.653i	1.56249	−	2.12939i
$61$	−630.503	+	567.708i	−1.32340	+	1.19160i	−0.357139	+	0.934051i	$0.616248\pi$
$61$	−630.503	+	567.708i	−1.32340	+	1.19160i	−0.966265	+	0.257548i	$0.917085\pi$
$62$	−229.697	+	450.805i	−0.470508	+	0.923424i
$63$	−103.238	−	152.316i	−0.206457	−	0.304604i
$64$	28.3642	+	9.21610i	0.0553989	+	0.0180002i
$65$	−45.6899	+	415.837i	−0.0871866	+	0.793512i
$66$	516.594	+	465.144i	0.963460	+	0.867503i
$67$	299.894	−	115.119i	0.546835	−	0.209910i	−0.0692371	−	0.997600i	$-0.522056\pi$
$67$	299.894	−	115.119i	0.546835	−	0.209910i	0.616072	+	0.787690i	$0.288723\pi$
$68$	−380.518	−	1420.11i	−0.678597	−	2.53256i
$69$	−615.390	+	447.107i	−1.07369	+	0.780078i
$70$	949.007	+	465.760i	1.62040	+	0.795271i
$71$	−541.294	−	393.273i	−0.904785	−	0.657365i	0.0349053	−	0.999391i	$-0.488887\pi$
$71$	−541.294	−	393.273i	−0.904785	−	0.657365i	−0.939691	+	0.342026i	$0.888887\pi$
$72$	182.966	−	476.643i	0.299483	−	0.780180i
$73$	−161.739	+	249.056i	−0.259316	+	0.399312i	−0.944217	−	0.329325i	$-0.893179\pi$
$73$	−161.739	+	249.056i	−0.259316	+	0.399312i	0.684901	+	0.728636i	$0.259846\pi$
$74$	1441.82	−	832.436i	2.26498	−	1.30769i
$75$	749.174	+	125.912i	1.15343	+	0.193853i
$76$			573.420i			0.865471i
$77$	−219.084	+	352.371i	−0.324247	+	0.521512i
$78$	181.618	+	1146.69i	0.263644	+	1.66458i
$79$	−371.333	−	834.027i	−0.528838	−	1.18779i	−0.958576	−	0.284836i	$-0.908061\pi$
$79$	−371.333	−	834.027i	−0.528838	−	1.18779i	0.429738	−	0.902953i	$-0.358606\pi$
$80$	199.947	+	1302.13i	0.279435	+	1.81978i
$81$	820.861	+	365.471i	1.12601	+	0.501332i
$82$	168.223	−	45.0753i	0.226551	−	0.0607041i
$83$	224.817	−	1419.44i	0.297312	−	1.87715i	−0.158921	−	0.987291i	$-0.550801\pi$
$83$	224.817	−	1419.44i	0.297312	−	1.87715i	0.456232	−	0.889861i	$-0.349199\pi$
$84$	1996.86	+	383.487i	2.59376	+	0.498117i
$85$	679.046	−	605.642i	0.866505	−	0.772837i
$86$	−1735.10	−	1927.03i	−2.17559	−	2.41624i
$87$	570.811	−	29.9149i	0.703418	−	0.0368646i
$88$	−1149.70	+	60.2531i	−1.39271	+	0.0729886i
$89$	−375.860	−	417.435i	−0.447653	−	0.497169i	0.476509	−	0.879169i	$-0.341902\pi$
$89$	−375.860	−	417.435i	−0.447653	−	0.497169i	−0.924162	+	0.382001i	$0.875235\pi$
$90$	564.283	−	56.6195i	0.660896	−	0.0663136i
$91$	−654.717	+	227.087i	−0.754208	+	0.261596i
$92$	353.710	−	2233.24i	0.400835	−	2.53078i
$93$	−581.758	+	155.882i	−0.648661	+	0.173808i
$94$	1865.40	+	830.529i	2.04682	+	0.911303i
$95$	−316.959	+	159.620i	−0.342308	+	0.172386i
$96$	470.849	+	1057.54i	0.500581	+	1.12432i
$97$	4.41746	+	27.8907i	0.00462397	+	0.0291946i	0.989892	−	0.141820i	$-0.0452954\pi$
$97$	4.41746	+	27.8907i	0.00462397	+	0.0291946i	−0.985268	+	0.171015i	$0.945295\pi$
$98$	−22.6768	+	1751.01i	−0.0233745	+	1.80488i
$99$			222.592i			0.225973i
$100$	−1839.32	+	1310.02i	−1.83932	+	1.31002i
$101$	−1678.37	+	969.007i	−1.65350	+	0.954651i	−0.677889	+	0.735165i	$0.737105\pi$
$101$	−1678.37	+	969.007i	−1.65350	+	0.954651i	−0.975616	+	0.219486i	$0.929562\pi$
$102$	1375.30	−	2117.77i	1.33505	−	2.05579i
$103$	−513.439	+	1337.55i	−0.491171	+	1.27954i	0.434314	+	0.900761i	$0.356991\pi$
$103$	−513.439	+	1337.55i	−0.491171	+	1.27954i	−0.925485	+	0.378783i	$0.876343\pi$
$104$	−1555.56	−	1130.18i	−1.46669	−	1.06561i
$105$	343.884	+	1210.52i	0.319616	+	1.12509i
$106$	874.226	−	635.163i	0.801060	−	0.582004i
$107$	−404.191	−	1508.46i	−0.365184	−	1.36288i	−0.867171	−	0.498010i	$-0.834064\pi$
$107$	−404.191	−	1508.46i	−0.365184	−	1.36288i	0.501988	−	0.864875i	$-0.332602\pi$
$108$	−1749.09	+	671.414i	−1.55839	+	0.598211i
$109$	−578.514	−	520.896i	−0.508363	−	0.457732i	0.374592	−	0.927190i	$-0.377783\pi$
$109$	−578.514	−	520.896i	−0.508363	−	0.457732i	−0.882955	+	0.469458i	$0.844449\pi$
$110$	−634.181	−	1110.49i	−0.549698	−	0.962559i
$111$	1884.86	+	612.427i	1.61173	+	0.523684i
$112$	−1806.43	+	1224.38i	−1.52403	+	1.03297i
$113$	−208.518	+	409.239i	−0.173590	+	0.340690i	−0.961367	−	0.275271i	$-0.911232\pi$
$113$	−208.518	+	409.239i	−0.173590	+	0.340690i	0.787776	+	0.615961i	$0.211232\pi$
$114$	−731.906	+	659.011i	−0.601309	+	0.541421i
$115$	1332.89	−	426.142i	1.08080	−	0.345548i
$116$	−1136.90	+	1262.65i	−0.909985	+	1.01064i
$117$	−233.955	+	288.910i	−0.184865	+	0.228289i
$118$	912.837	−	912.837i	0.712148	−	0.712148i
$119$	1388.74	+	585.800i	1.06980	+	0.451262i
$120$	−2210.14	+	2703.14i	−1.68131	+	2.05635i
$121$	−757.389	+	337.211i	−0.569037	+	0.253352i
$122$	3366.26	−	2725.94i	2.49809	−	2.02291i
$123$	173.870	+	112.913i	0.127458	+	0.0827722i
$124$	895.140	−	1550.43i	0.648274	−	1.12284i
$125$	−1236.12	−	652.023i	−0.884495	−	0.466550i
$126$	485.654	+	804.157i	0.343377	+	0.568572i
$127$	−75.1667	−	147.523i	−0.0525194	−	0.103075i	0.863255	−	0.504768i	$-0.168422\pi$
$127$	−75.1667	−	147.523i	−0.0525194	−	0.103075i	−0.915774	+	0.401693i	$0.868422\pi$
$128$	1280.47	+	491.526i	0.884207	+	0.339415i
$129$	322.656	−	3069.87i	0.220219	−	2.09525i
$130$	344.056	−	2107.90i	0.232121	−	1.42212i
$131$	−677.553	+	71.2137i	−0.451894	+	0.0474959i	−0.327742	−	0.944767i	$-0.606288\pi$
$131$	−677.553	+	71.2137i	−0.451894	+	0.0474959i	−0.124152	+	0.992263i	$0.539621\pi$
$132$	−1739.30	−	1739.30i	−1.14687	−	1.14687i
$133$	−464.056	−	360.881i	−0.302547	−	0.235281i
$134$	−1559.75	+	506.792i	−1.00553	+	0.326718i
$135$	−858.011	−	779.914i	−0.547006	−	0.497217i
$136$	869.500	+	4090.68i	0.548228	+	2.57921i
$137$	112.547	+	2147.52i	0.0701864	+	1.33924i	0.775953	+	0.630791i	$0.217270\pi$
$137$	112.547	+	2147.52i	0.0701864	+	1.33924i	−0.705766	+	0.708445i	$0.749397\pi$
$138$	3256.98	−	2115.11i	2.00908	−	1.30471i
$139$	−49.5608	+	152.532i	−0.0302424	+	0.0930765i	−0.965038	−	0.262109i	$-0.915582\pi$
$139$	−49.5608	+	152.532i	−0.0302424	+	0.0930765i	0.934796	+	0.355185i	$0.115582\pi$
$140$	−3267.16	−	1821.55i	−1.97232	−	1.09964i
$141$	751.129	+	2311.74i	0.448627	+	1.38073i
$142$	2654.66	+	2149.70i	1.56883	+	1.27042i
$143$	809.733	+	216.967i	0.473519	+	0.126879i
$144$	−476.168	+	1069.49i	−0.275560	+	0.618918i
$145$	−1014.40	−	276.942i	−0.580977	−	0.158613i
$146$	891.158	−	1226.57i	0.505156	−	0.695287i
$147$	−1567.07	+	1374.67i	−0.879249	+	0.771298i
$148$	−5248.98	+	2674.49i	−2.91529	+	1.48542i
$149$	1233.02	+	711.882i	0.677937	+	0.391407i	0.799077	−	0.601228i	$-0.205322\pi$
$149$	1233.02	+	711.882i	0.677937	+	0.391407i	−0.121141	+	0.992635i	$0.538655\pi$
$150$	−3785.96	−	842.126i	−2.06082	−	0.458396i
$151$	−1427.89	−	2473.18i	−0.769536	−	1.33288i	−0.937815	−	0.347136i	$-0.887154\pi$
$151$	−1427.89	−	2473.18i	−0.769536	−	1.33288i	0.168278	−	0.985740i	$-0.446179\pi$
$152$	85.3660	−	1628.88i	0.0455533	−	0.869208i
$153$	798.623	−	126.489i	0.421992	−	0.0668370i
$154$	1211.14	−	1738.00i	0.633741	−	0.909428i
$155$	1106.18	+	63.2042i	0.573227	+	0.0327528i
$156$	−429.412	−	4085.58i	−0.220388	−	2.09685i
$157$	−937.570	+	3499.06i	−0.476600	+	1.77870i	0.138625	+	0.990345i	$0.455732\pi$
$157$	−937.570	+	3499.06i	−0.476600	+	1.77870i	−0.615225	+	0.788351i	$0.710935\pi$
$158$	1670.36	+	4351.44i	0.841055	+	2.19102i
$159$	1258.23	+	267.446i	0.627575	+	0.133395i
$160$	−212.616	−	2118.98i	−0.105055	−	1.04700i
$161$	1584.70	+	1691.73i	0.775728	+	0.828120i
$162$	−4087.44	−	2082.65i	−1.98234	−	1.01005i
$163$	−642.523	−	989.398i	−0.308750	−	0.475434i	0.649900	−	0.760019i	$-0.274811\pi$
$163$	−642.523	−	989.398i	−0.308750	−	0.475434i	−0.958651	+	0.284586i	$0.908144\pi$
$164$	−602.782	+	128.125i	−0.287008	+	0.0610055i
$165$	477.239	−	1445.56i	0.225170	−	0.682040i
$166$	−1525.48	+	7176.82i	−0.713254	+	3.35560i
$167$	460.380	+	72.9170i	0.213325	+	0.0337873i	0.262182	−	0.965018i	$-0.415558\pi$
$167$	460.380	+	72.9170i	0.213325	+	0.0337873i	−0.0488572	+	0.998806i	$0.515558\pi$
$168$	−5615.27	−	1386.62i	−2.57874	−	0.636787i
$169$	−468.426	−	644.733i	−0.213212	−	0.293461i
$170$	−3623.89	+	2906.38i	−1.63494	+	1.31123i
$171$	−313.639	−	32.9648i	−0.140261	−	0.0147420i
$172$	5774.30	+	7130.67i	2.55981	+	3.16110i
$173$	1750.35	+	91.7318i	0.769228	+	0.0403135i	0.432913	−	0.901436i	$-0.357486\pi$
$173$	1750.35	+	91.7318i	0.769228	+	0.0403135i	0.336315	+	0.941749i	$0.390819\pi$
$174$	−2918.23			−1.27144
$175$	97.4021	−	2312.98i	0.0420737	−	0.999115i
$176$	2639.88			1.13062
$177$	1534.63	+	80.4265i	0.651694	+	0.0341538i
$178$	1804.75	+	2228.69i	0.759955	+	0.938466i
$179$	−1038.90	−	109.193i	−0.433805	−	0.0455947i	−0.114890	−	0.993378i	$-0.536652\pi$
$179$	−1038.90	−	109.193i	−0.433805	−	0.0455947i	−0.318914	+	0.947784i	$0.603318\pi$
$180$	−2004.44	+	95.5722i	−0.830010	+	0.0395752i
$181$	140.906	+	193.941i	0.0578645	+	0.0796436i	0.836969	−	0.547251i	$-0.184326\pi$
$181$	140.906	+	193.941i	0.0578645	+	0.0796436i	−0.779104	+	0.626895i	$0.784326\pi$
$182$	3398.70	−	982.848i	1.38422	−	0.400294i
$183$	5092.79	+	806.618i	2.05721	+	0.325830i
$184$	−1337.23	+	6291.17i	−0.535771	+	2.52060i
$185$	−2939.46	−	2156.89i	−1.16818	−	0.857178i
$186$	3007.70	−	639.306i	1.18567	−	0.252022i
$187$	−993.043	−	1529.15i	−0.388334	−	0.597982i
$188$	−6437.77	−	3280.21i	−2.49746	−	1.27252i
$189$	557.427	−	1838.05i	0.214534	−	0.707401i
$190$	1658.64	−	729.120i	0.633317	−	0.278400i
$191$	−423.014	−	89.9145i	−0.160253	−	0.0340627i	0.127087	−	0.991892i	$-0.459437\pi$
$191$	−423.014	−	89.9145i	−0.160253	−	0.0340627i	−0.287339	+	0.957829i	$0.592771\pi$
$192$	−64.9555	−	169.215i	−0.0244154	−	0.0636043i
$193$	430.900	−	1608.14i	0.160709	−	0.599774i	−0.837840	−	0.545916i	$-0.816182\pi$
$193$	430.900	−	1608.14i	0.160709	−	0.599774i	0.998549	−	0.0538577i	$-0.0171517\pi$
$194$	−15.0697	−	143.379i	−0.00557703	−	0.0530619i
$195$	2138.78	−	1374.64i	0.785441	−	0.504821i
$196$	404.397	−	6183.17i	0.147375	−	2.25334i
$197$	274.000	−	43.3973i	0.0990947	−	0.0156951i	−0.106690	−	0.994292i	$-0.534025\pi$
$197$	274.000	−	43.3973i	0.0990947	−	0.0156951i	0.205785	+	0.978597i	$0.434025\pi$
$198$	59.4759	−	1134.87i	0.0213473	−	0.407331i
$199$	1060.26	+	1836.42i	0.377686	+	0.654172i	0.990725	−	0.135881i	$-0.0433865\pi$
$199$	1060.26	+	1836.42i	0.377686	+	0.654172i	−0.613039	+	0.790053i	$0.710053\pi$
$200$	5419.88	−	3447.48i	1.91622	−	1.21887i
$201$	−1690.71	−	976.131i	−0.593300	−	0.342542i
$202$	8815.94	−	4491.94i	3.07073	−	1.56461i
$203$	−306.333	−	1714.71i	−0.105913	−	0.592853i
$204$	−5251.94	+	7228.67i	−1.80250	+	2.48092i
$205$	−238.615	−	297.523i	−0.0812955	−	0.101365i
$206$	2975.11	−	6682.22i	1.00624	−	2.26006i
$207$	1201.16	+	321.850i	0.403317	+	0.108068i
$208$	3426.39	+	2774.64i	1.14220	+	0.924935i
$209$	219.753	+	676.331i	0.0727304	+	0.223841i
$210$	−1429.82	−	6263.60i	−0.469843	−	2.05824i
$211$	1763.31	−	5426.93i	0.575316	−	1.77064i	−0.0597862	−	0.998211i	$-0.519042\pi$
$211$	1763.31	−	5426.93i	0.575316	−	1.77064i	0.635102	−	0.772428i	$-0.280958\pi$
$212$	−3206.79	+	2082.51i	−1.03888	+	0.674659i
$213$	212.813	+	4060.70i	0.0684586	+	1.30627i
$214$	1657.68	+	7798.77i	0.529517	+	2.49118i
$215$	−2334.12	+	5176.68i	−0.740398	+	1.64208i
$216$	5068.49	−	1646.85i	1.59661	−	0.518769i
$217$	691.373	+	1700.18i	0.216283	+	0.531868i
$218$	2810.32	+	2810.32i	0.873115	+	0.873115i
$219$	1794.90	−	188.652i	0.553828	−	0.0582096i
$220$	2035.29	+	4041.48i	0.623724	+	1.23853i
$221$	318.306	−	3028.48i	0.0968849	−	0.921798i
$222$	−9446.14	−	3626.03i	−2.85578	−	1.09623i
$223$	−1517.04	−	2977.36i	−0.455555	−	0.894076i	−0.998523	−	0.0543234i	$-0.982700\pi$
$223$	−1517.04	−	2977.36i	−0.455555	−	0.894076i	0.542969	−	0.839753i	$-0.317300\pi$
$224$	3019.75	−	1823.71i	0.900738	−	0.543982i
$225$	−610.793	−	1081.35i	−0.180976	−	0.320400i
$226$	1172.46	−	2030.76i	0.345092	−	0.597717i
$227$	−943.618	−	612.793i	−0.275904	−	0.179174i	0.399269	−	0.916834i	$-0.369264\pi$
$227$	−943.618	−	612.793i	−0.275904	−	0.179174i	−0.675172	+	0.737660i	$0.735931\pi$
$228$	2708.30	−	2193.14i	0.786674	−	0.637036i
$229$	3322.77	−	1479.39i	0.958843	−	0.426905i	0.133195	−	0.991090i	$-0.457476\pi$
$229$	3322.77	−	1479.39i	0.958843	−	0.426905i	0.825648	+	0.564185i	$0.190810\pi$
$230$	−6909.47	+	1816.51i	−1.98086	+	0.520770i
$231$	2502.20	−	312.952i	0.712695	−	0.0891374i
$232$	3417.49	−	3417.49i	0.967107	−	0.967107i
$233$	2616.30	−	3230.86i	0.735621	−	0.908416i	−0.262785	−	0.964854i	$-0.584641\pi$
$233$	2616.30	−	3230.86i	0.735621	−	0.908416i	0.998406	+	0.0564382i	$0.0179744\pi$
$234$	1270.00	−	1410.47i	0.354796	−	0.394041i
$235$	21.0864	−	4471.58i	0.00585331	−	1.24125i
$236$	−3394.65	+	3056.55i	−0.936325	+	0.843071i
$237$	−2518.94	+	4943.70i	−0.690392	+	1.35497i
$238$	−6923.88	−	3357.72i	−1.88575	−	0.914491i
$239$	4989.00	+	1621.02i	1.35026	+	0.438725i	0.892779	−	0.450496i	$-0.148753\pi$
$239$	4989.00	+	1621.02i	1.35026	+	0.438725i	0.457478	+	0.889221i	$0.348753\pi$
$240$	5385.32	−	5924.58i	1.44842	−	1.59346i
$241$	33.1584	+	29.8560i	0.00886274	+	0.00798005i	0.673550	−	0.739142i	$-0.264769\pi$
$241$	33.1584	+	29.8560i	0.00886274	+	0.00798005i	−0.664687	+	0.747122i	$0.731435\pi$
$242$	3951.58	−	1516.87i	1.04966	−	0.402926i
$243$	−688.642	−	2570.05i	−0.181796	−	0.678472i
$244$	−12399.8	+	9009.00i	−3.25335	+	2.36370i
$245$	3530.32	−	1497.65i	0.920588	−	0.390536i
$246$	−856.292	−	622.133i	−0.221932	−	0.161243i
$247$	−425.630	+	1108.81i	−0.109645	+	0.285634i
$248$	−2773.58	+	4270.94i	−0.710172	+	1.09357i
$249$	−7563.95	+	4367.05i	−1.92508	+	1.11145i
$250$	6128.03	+	3654.57i	1.55028	+	0.924542i
$251$			7466.35i			1.87758i	0.344494	+	0.938789i	$0.388051\pi$
$251$			7466.35i			1.87758i	−0.344494	+	0.938789i	$0.611949\pi$
$252$	−1567.19	−	2931.51i	−0.391760	−	0.732808i
$253$	−438.660	−	2769.59i	−0.109005	−	0.688231i
$254$	343.813	+	772.218i	0.0849322	+	0.190761i
$255$	−5457.61	−	890.802i	−1.34027	−	0.218762i
$256$	−6614.99	−	2945.18i	−1.61499	−	0.719039i
$257$	−4595.08	+	1231.25i	−1.11530	+	0.298845i	−0.768982	−	0.639271i	$-0.779236\pi$
$257$	−4595.08	+	1231.25i	−1.11530	+	0.298845i	−0.346322	+	0.938116i	$0.612570\pi$
$258$	−2465.29	+	15565.3i	−0.594893	+	3.75601i
$259$	1139.03	−	5931.06i	0.273266	−	1.42293i
$260$	−1606.12	+	7384.77i	−0.383104	+	1.76148i
$261$	−625.264	−	694.426i	−0.148287	−	0.164689i
$262$	3473.47	−	182.037i	0.819053	−	0.0429248i
$263$	−835.257	+	43.7740i	−0.195833	+	0.0102632i	−0.150000	−	0.988686i	$-0.547928\pi$
$263$	−835.257	+	43.7740i	−0.195833	+	0.0102632i	−0.0458329	+	0.998949i	$0.514594\pi$
$264$	4681.78	+	5199.65i	1.09145	+	1.21218i
$265$	−2043.77	−	1192.86i	−0.473765	−	0.276516i
$266$	2269.53	+	1963.91i	0.523134	+	0.452689i
$267$	−534.034	+	3371.76i	−0.122406	+	0.772840i
$268$	5605.37	−	1501.95i	1.27762	−	0.342337i
$269$	−4840.86	−	2155.29i	−1.09722	−	0.488515i	−0.223383	−	0.974731i	$-0.571710\pi$
$269$	−4840.86	−	2155.29i	−1.09722	−	0.488515i	−0.873839	+	0.486216i	$0.838377\pi$
$270$	4166.11	+	4205.58i	0.939041	+	0.947940i
$271$	860.460	+	1932.63i	0.192875	+	0.433205i	0.983933	−	0.178536i	$-0.0571361\pi$
$271$	860.460	+	1932.63i	0.192875	+	0.433205i	−0.791058	+	0.611741i	$0.790469\pi$
$272$	−1500.13	−	9471.43i	−0.334407	−	2.11136i
$273$	3576.62	+	2223.74i	0.792919	+	0.492992i
$274$		−	10979.0i		−	2.42069i
$275$	−1667.38	+	2250.02i	−0.365625	+	0.493386i
$276$	−11900.6	+	6870.79i	−2.59540	+	1.49845i
$277$	−1490.34	+	2294.93i	−0.323271	+	0.497794i	−0.962522	−	0.271205i	$-0.912578\pi$
$277$	−1490.34	+	2294.93i	−0.323271	+	0.497794i	0.639251	+	0.768998i	$0.279245\pi$
$278$	293.438	−	764.432i	0.0633066	−	0.164919i
$279$	796.565	+	578.738i	0.170929	+	0.124187i
$280$	9009.64	+	5660.76i	1.92296	+	1.20820i
$281$	6925.51	−	5031.68i	1.47025	−	1.06820i	0.489713	−	0.871884i	$-0.337101\pi$
$281$	6925.51	−	5031.68i	1.47025	−	1.06820i	0.980540	−	0.196318i	$-0.0628985\pi$
$282$	−3211.88	−	11986.9i	−0.678243	−	2.53124i
$283$	−4804.82	+	1844.40i	−1.00925	+	0.387414i	−0.806128	−	0.591741i	$-0.798441\pi$
$283$	−4804.82	+	1844.40i	−1.00925	+	0.387414i	−0.203119	+	0.979154i	$0.565108\pi$
$284$	−8982.41	−	8087.80i	−1.87679	−	1.68987i
$285$	1966.16	+	886.523i	0.408650	+	0.184256i
$286$	−4070.38	−	1322.55i	−0.841562	−	0.273440i
$287$	275.670	−	568.453i	0.0566980	−	0.116915i
$288$	859.172	−	1686.22i	0.175789	−	0.345005i
$289$	−1270.96	+	1144.38i	−0.258694	+	0.232929i
$290$	5097.86	+	1683.01i	1.03226	+	0.340793i
$291$	114.834	−	127.537i	0.0231330	−	0.0256918i
$292$	−3376.14	+	4169.19i	−0.676622	+	0.835559i
$293$	−2670.15	+	2670.15i	−0.532395	+	0.532395i	−0.921284	−	0.388890i	$-0.872859\pi$
$293$	−2670.15	+	2670.15i	−0.532395	+	0.532395i	0.388890	+	0.921284i	$0.372859\pi$
$294$	8356.87	−	6589.92i	1.65776	−	1.30725i
$295$	−2634.46	−	1025.56i	−0.519947	−	0.202407i
$296$	15308.6	−	6815.83i	3.00606	−	1.33839i
$297$	−1805.69	+	1462.22i	−0.352784	+	0.285679i
$298$	−6096.21	−	3958.93i	−1.18505	−	0.769579i
$299$	2341.62	−	4055.80i	0.452907	−	0.784458i
$300$	13222.1	+	3676.85i	2.54460	+	0.707611i
$301$	−9404.74	+	185.344i	−1.80093	+	0.0354918i
$302$	6619.15	+	12990.8i	1.26122	+	2.47529i
$303$	10995.9	+	4220.92i	2.08481	+	0.800283i
$304$	−390.952	+	3719.66i	−0.0737588	+	0.701768i
$305$	−8431.41	−	4346.22i	−1.58289	−	0.815947i
$306$	−4105.51	+	431.507i	−0.766982	+	0.0806130i
$307$	2166.51	+	2166.51i	0.402766	+	0.402766i	0.879207	−	0.476441i	$-0.158073\pi$
$307$	2166.51	+	2166.51i	0.402766	+	0.402766i	−0.476441	+	0.879207i	$0.658073\pi$
$308$	−4601.53	+	5917.10i	−0.851287	+	1.09467i
$309$	8281.09	−	2690.69i	1.52458	−	0.495365i
$310$	−5622.86	−	617.808i	−1.03018	−	0.113191i
$311$	1767.02	+	8313.16i	0.322181	+	1.51574i	0.779478	+	0.626429i	$0.215484\pi$
$311$	1767.02	+	8313.16i	0.322181	+	1.51574i	−0.457297	+	0.889314i	$0.651182\pi$
$312$	611.577	+	11669.6i	0.110974	+	2.11750i
$313$	490.379	−	318.456i	0.0885555	−	0.0575086i	−0.499602	−	0.866255i	$-0.666520\pi$
$313$	490.379	−	318.456i	0.0885555	−	0.0575086i	0.588157	+	0.808747i	$0.299854\pi$
$314$	5715.06	−	17589.1i	1.02713	−	3.16119i
$315$	1184.14	−	1682.29i	0.211806	−	0.300910i
$316$	−5096.55	−	15685.6i	−0.907289	−	2.79235i
$317$	4973.05	+	4027.10i	0.881119	+	0.713516i	0.958988	−	0.283448i	$-0.0914783\pi$
$317$	4973.05	+	4027.10i	0.881119	+	0.713516i	−0.0778691	+	0.996964i	$0.524812\pi$
$318$	−6343.54	−	1699.75i	−1.11864	−	0.299739i
$319$	−857.044	+	1924.95i	−0.150424	+	0.337858i
$320$	15.8806	+	333.063i	0.00277422	+	0.0581838i
$321$	−5578.68	+	7678.39i	−0.970004	+	1.33510i
$322$	−7627.46	−	9048.59i	−1.32007	−	1.56602i
$323$	2301.68	−	1172.77i	0.396499	−	0.202026i
$324$	14057.7	+	8116.21i	2.41044	+	1.39167i
$325$	−4529.03	+	1167.88i	−0.773001	+	0.199331i
$326$	3011.49	+	5216.05i	0.511628	+	0.886166i
$327$	−247.606	+	4724.61i	−0.0418736	+	0.798996i
$328$	1731.36	−	274.220i	0.291458	−	0.0461625i
$329$	6706.19	−	3145.55i	1.12378	−	0.527112i
$330$	−2819.41	+	7242.55i	−0.470313	+	1.20815i
$331$	671.932	+	6393.01i	0.111579	+	1.06161i	0.896814	+	0.442408i	$0.145876\pi$
$331$	671.932	+	6393.01i	0.111579	+	1.06161i	−0.785235	+	0.619198i	$0.787458\pi$
$332$	6719.50	−	25077.5i	1.11078	−	4.14550i
$333$	−1161.09	−	3024.74i	−0.191073	−	0.497762i
$334$	−2327.72	−	494.773i	−0.381339	−	0.0810562i
$335$	2390.55	+	2680.28i	0.389879	+	0.437132i
$336$	12691.8	+	3849.04i	2.06070	+	0.624948i
$337$	2341.94	+	1193.28i	0.378556	+	0.192884i	0.632907	−	0.774228i	$-0.281862\pi$
$337$	2341.94	+	1193.28i	0.378556	+	0.192884i	−0.254350	+	0.967112i	$0.581862\pi$
$338$	2215.96	+	3412.28i	0.356605	+	0.549123i
$339$	2730.38	−	580.359i	0.437444	−	0.0929817i
$340$	13343.6	−	9598.87i	2.12840	−	1.53109i
$341$	461.615	−	2171.73i	0.0733075	−	0.344884i
$342$	1590.25	+	251.872i	0.251436	+	0.0398235i
$343$	4749.39	+	4218.63i	0.747648	+	0.664095i
$344$	−15341.1	−	21115.3i	−2.40447	−	3.30948i
$345$	−7110.54	−	4665.46i	−1.10962	−	0.728057i
$346$	−8899.49	−	935.374i	−1.38277	−	0.145335i
$347$	1840.20	+	2272.46i	0.284689	+	0.351562i	0.899350	−	0.437230i	$-0.144040\pi$
$347$	1840.20	+	2272.46i	0.284689	+	0.351562i	−0.614661	+	0.788792i	$0.710707\pi$
$348$	10311.8	+	540.421i	1.58843	+	0.0832459i
$349$	3195.24			0.490078			0.245039	−	0.969513i	$-0.421199\pi$
$349$	3195.24			0.490078			0.245039	+	0.969513i	$0.421199\pi$
$350$	−1114.62	+	11766.5i	−0.170225	+	1.79699i
$351$	−3880.53			−0.590107
$352$	−4261.62	−	223.342i	−0.645299	−	0.0338187i
$353$	−5083.13	−	6277.15i	−0.766425	−	0.946456i	0.233238	−	0.972420i	$-0.425068\pi$
$353$	−5083.13	−	6277.15i	−0.766425	−	0.946456i	−0.999663	+	0.0259640i	$0.991734\pi$
$354$	−7802.69	−	820.095i	−1.17149	−	0.123129i
$355$	1970.15	−	7216.40i	0.294548	−	1.07889i
$356$	−5964.55	−	8209.50i	−0.887979	−	1.22220i
$357$	−2544.71	−	8799.62i	−0.377256	−	1.30455i
$358$	5267.57	+	834.301i	0.777653	+	0.123168i
$359$	−1323.41	+	6226.18i	−0.194560	+	0.915335i	0.767193	+	0.641417i	$0.221653\pi$
$359$	−1323.41	+	6226.18i	−0.194560	+	0.915335i	−0.961753	+	0.273918i	$0.911680\pi$
$360$	5708.10	+	26.9175i	0.835676	+	0.00394077i
$361$	5723.60	−	1216.59i	0.834466	−	0.177371i
$362$	−666.578	−	1026.44i	−0.0967805	−	0.149029i
$363$	4489.43	+	2287.48i	0.649129	+	0.330748i
$364$	−12191.6	+	2843.59i	−1.75554	+	0.409464i
$365$	−3244.32	−	705.608i	−0.465248	−	0.101187i
$366$	−25749.6	−	5473.25i	−3.67747	−	0.781671i
$367$	−1210.46	−	3153.35i	−0.172167	−	0.448511i	0.820162	−	0.572131i	$-0.193883\pi$
$367$	−1210.46	−	3153.35i	−0.172167	−	0.448511i	−0.992330	+	0.123620i	$0.960550\pi$
$368$	3817.05	−	14245.4i	0.540700	−	2.01792i
$369$	−35.4269	−	337.064i	−0.00499797	−	0.0475525i
$370$	14410.3	+	11782.2i	2.02474	+	1.65547i
$371$	332.854	−	3905.81i	0.0465793	−	0.546576i
$372$	−10746.4	+	1702.06i	−1.49778	+	0.237225i
$373$	199.141	−	3799.83i	0.0276437	−	0.527474i	−0.949352	−	0.314215i	$-0.898259\pi$
$373$	199.141	−	3799.83i	0.0276437	−	0.527474i	0.976996	−	0.213259i	$-0.0684079\pi$
$374$	4654.36	+	8061.59i	0.643506	+	1.11459i
$375$	1648.19	+	8332.04i	0.226966	+	1.14737i
$376$	17799.0	+	10276.3i	2.44126	+	1.40946i
$377$	−3135.61	+	1597.67i	−0.428361	+	0.218261i
$378$	−3333.12	+	9222.22i	−0.453537	+	1.25487i
$379$	−3478.91	+	4788.30i	−0.471502	+	0.648967i	−0.976844	−	0.213952i	$-0.931366\pi$
$379$	−3478.91	+	4788.30i	−0.471502	+	0.648967i	0.505342	+	0.862919i	$0.331366\pi$
$380$	−5995.98	+	2269.26i	−0.809441	+	0.306344i
$381$	−409.273	+	919.243i	−0.0550334	+	0.123607i
$382$	2132.68	+	571.449i	0.285647	+	0.0765390i
$383$	−11093.0	−	8982.93i	−1.47996	−	1.19845i	−0.932267	−	0.361772i	$-0.882172\pi$
$383$	−11093.0	−	8982.93i	−1.47996	−	1.19845i	−0.547695	−	0.836678i	$-0.684495\pi$
$384$	−2575.85	−	7927.66i	−0.342314	−	1.05353i
$385$	−4551.59	−	896.383i	−0.602521	−	0.118660i
$386$	−2626.60	+	8083.83i	−0.346348	+	1.06595i
$387$	−4232.16	+	2748.39i	−0.555898	+	0.361004i
$388$	26.6983	+	509.434i	0.00349330	+	0.0666562i
$389$	662.310	+	3115.92i	0.0863251	+	0.406127i	1.00000		0.000318345i	$-0.000101332\pi$
$389$	662.310	+	3115.92i	0.0863251	+	0.406127i	−0.913675	+	0.406446i	$0.866768\pi$
$390$	−11271.7	+	6437.02i	−1.46350	+	0.835773i
$391$	−9687.54	+	3147.67i	−1.25299	+	0.407122i
$392$	−2069.24	+	17503.9i	−0.266614	+	2.25531i
$393$	2927.76	+	2927.76i	0.375791	+	0.375791i
$394$	−1408.56	+	148.046i	−0.180107	+	0.0189300i
$395$	7251.51	−	7183.44i	0.923704	−	0.915033i
$396$	−420.328	+	3999.16i	−0.0533391	+	0.507488i
$397$	−590.490	−	226.668i	−0.0746494	−	0.0286552i	0.320757	−	0.947162i	$-0.396063\pi$
$397$	−590.490	−	226.668i	−0.0746494	−	0.0286552i	−0.395406	+	0.918506i	$0.629396\pi$
$398$	−4914.94	−	9646.12i	−0.619005	−	1.21486i
$399$	70.3956	+	3572.02i	0.00883255	+	0.448182i
$400$	−12824.5	+	7243.82i	−1.60306	+	0.905478i
$401$	−1090.79	+	1889.31i	−0.135839	+	0.235281i	−0.925918	−	0.377725i	$-0.876706\pi$
$401$	−1090.79	+	1889.31i	−0.135839	+	0.235281i	0.790078	+	0.613006i	$0.210040\pi$
$402$	8359.11	+	5428.47i	1.03710	+	0.673502i
$403$	2881.73	−	2333.58i	0.356202	−	0.288447i
$404$	−31983.9	+	14240.1i	−3.93875	+	1.75365i
$405$	−573.071	+	10029.7i	−0.0703114	+	1.23056i
$406$	1103.65	+	8824.17i	0.134909	+	1.07866i
$407$	−5166.05	+	5166.05i	−0.629169	+	0.629169i
$408$	15995.0	−	19752.2i	1.94086	−	2.39676i
$409$	−5531.73	+	6143.60i	−0.668768	+	0.742742i	−0.978083	−	0.208217i	$-0.933234\pi$
$409$	−5531.73	+	6143.60i	−0.668768	+	0.742742i	0.309314	+	0.950960i	$0.399900\pi$
$410$	1137.06	+	1580.65i	0.136964	+	0.190397i
$411$	9712.44	−	8745.12i	1.16564	−	1.04955i
$412$	−11750.3	+	23061.3i	−1.40509	+	2.75765i
$413$	−337.188	−	4670.85i	−0.0401742	−	0.556507i
$414$	−6038.03	−	1961.87i	−0.716794	−	0.232901i
$415$	15732.1	−	3266.50i	1.86086	−	0.386376i
$416$	−5296.57	−	4769.05i	−0.624244	−	0.562072i
$417$	909.975	−	349.307i	0.106862	−	0.0410207i
$418$	−939.680	−	3506.93i	−0.109955	−	0.410358i
$419$	1032.19	−	749.933i	0.120348	−	0.0874383i	−0.525983	−	0.850495i	$-0.676302\pi$
$419$	1032.19	−	749.933i	0.120348	−	0.0874383i	0.646331	+	0.763057i	$0.276302\pi$
$420$	3892.47	+	22397.8i	0.452221	+	2.60215i
$421$	4211.71	+	3059.99i	0.487569	+	0.354239i	0.804249	−	0.594293i	$-0.202568\pi$
$421$	4211.71	+	3059.99i	0.487569	+	0.354239i	−0.316680	+	0.948532i	$0.602568\pi$
$422$	−10440.2	+	27197.6i	−1.20431	+	3.13734i
$423$	2164.24	−	3332.64i	0.248768	−	0.383070i
$424$	9419.36	−	5438.27i	1.07888	−	0.622891i
$425$	9020.18	+	4703.69i	1.02951	+	0.536853i
$426$		−	20760.0i		−	2.36110i
$427$	513.018	−	15704.7i	0.0581421	−	1.77987i
$428$	−4413.34	−	27864.7i	−0.498427	−	3.14694i
$429$	−2072.21	−	4654.25i	−0.233210	−	0.523798i
$430$	13283.5	−	25769.2i	1.48974	−	2.89000i
$431$	−2115.31	−	941.798i	−0.236406	−	0.105255i	0.285115	−	0.958493i	$-0.407968\pi$
$431$	−2115.31	−	941.798i	−0.236406	−	0.105255i	−0.521521	+	0.853239i	$0.674635\pi$
$432$	−11803.8	+	3162.81i	−1.31461	+	0.352247i
$433$	1825.33	−	11524.7i	0.202586	−	1.27907i	−0.651383	−	0.758750i	$-0.725811\pi$
$433$	1825.33	−	11524.7i	0.202586	−	1.27907i	0.853968	−	0.520325i	$-0.174189\pi$
$434$	−3070.62	−	8852.93i	−0.339619	−	0.979158i
$435$	2571.74	+	5850.31i	0.283461	+	0.644830i
$436$	−9410.11	−	10451.0i	−1.03363	−	1.14796i
$437$	3967.39	−	207.922i	0.434293	−	0.0227603i
$438$	−9201.57	+	482.234i	−1.00381	+	0.0526073i
$439$	1001.07	+	1111.80i	0.108834	+	0.120873i	0.795100	−	0.606478i	$-0.207418\pi$
$439$	1001.07	+	1111.80i	0.108834	+	0.120873i	−0.686266	+	0.727351i	$0.740751\pi$
$440$	−5179.86	−	11783.4i	−0.561228	−	1.27671i
$441$	3358.71	+	576.648i	0.362672	+	0.0622662i
$442$	−2432.05	+	15355.4i	−0.261722	+	1.65245i
$443$	10168.3	−	2724.60i	1.09055	−	0.292211i	0.331637	−	0.943407i	$-0.392399\pi$
$443$	10168.3	−	2724.60i	1.09055	−	0.292211i	0.758910	+	0.651196i	$0.225732\pi$
$444$	32707.4	+	14562.3i	3.49600	+	1.55652i
$445$	2877.48	−	5582.15i	0.306530	−	0.594650i
$446$	6938.97	+	15585.2i	0.736704	+	1.65466i
$447$	−1353.60	−	8546.32i	−0.143229	−	0.904311i
$448$	−487.108	+	260.409i	−0.0513699	+	0.0274624i
$449$		−	11541.2i		−	1.21305i	−0.795063	−	0.606527i	$-0.792562\pi$
$449$		−	11541.2i		−	1.21305i	0.795063	−	0.606527i	$-0.207438\pi$
$450$	2825.14	+	5676.37i	0.295952	+	0.594637i
$451$	−661.860	+	382.125i	−0.0691037	+	0.0398971i
$452$	−4519.07	+	6958.76i	−0.470264	+	0.724142i
$453$	−6219.78	+	16203.1i	−0.645101	+	1.68055i
$454$	4647.22	+	3376.40i	0.480407	+	0.349036i
$455$	−4965.53	−	5947.38i	−0.511621	−	0.612786i
$456$	−8019.80	+	5826.73i	−0.823600	+	0.598381i
$457$	−134.164	−	500.708i	−0.0137329	−	0.0512519i	0.958719	−	0.284354i	$-0.0917791\pi$
$457$	−134.164	−	500.708i	−0.0137329	−	0.0512519i	−0.972452	+	0.233102i	$0.925112\pi$
$458$	−17336.2	+	6654.74i	−1.76870	+	0.678942i
$459$	6272.29	+	5647.59i	0.637833	+	0.574307i
$460$	24751.7	−	5139.26i	2.50881	−	0.520912i
$461$	4554.06	+	1479.70i	0.460095	+	0.149494i	0.529888	−	0.848068i	$-0.322234\pi$
$461$	4554.06	+	1479.70i	0.460095	+	0.149494i	−0.0697930	+	0.997561i	$0.522234\pi$
$462$	−12840.9	+	926.981i	−1.29310	+	0.0933486i
$463$	−5926.11	+	11630.6i	−0.594837	+	1.16743i	0.375758	+	0.926718i	$0.377382\pi$
$463$	−5926.11	+	11630.6i	−0.594837	+	1.16743i	−0.970596	+	0.240716i	$0.922618\pi$
$464$	−8235.69	+	7415.45i	−0.823992	+	0.741926i
$465$	−3932.24	−	5466.28i	−0.392157	−	0.545146i
$466$	−14202.3	+	15773.2i	−1.41182	+	1.56798i
$467$	−607.833	+	750.611i	−0.0602294	+	0.0743772i	−0.806370	−	0.591411i	$-0.798571\pi$
$467$	−607.833	+	750.611i	−0.0602294	+	0.0743772i	0.746141	+	0.665788i	$0.231904\pi$
$468$	−4748.86	+	4748.86i	−0.469052	+	0.469052i
$469$	−2312.23	+	5481.55i	−0.227652	+	0.539690i
$470$	−1302.30	+	22792.3i	−0.127810	+	2.23688i
$471$	20112.2	−	8954.52i	1.96756	−	0.876014i
$472$	10098.0	−	8177.20i	0.984742	−	0.797428i
$473$	9543.31	+	6197.50i	0.927699	+	0.602455i
$474$	14163.6	−	24532.0i	1.37248	−	2.37720i
$475$	−2923.41	−	2682.60i	−0.282390	−	0.259129i
$476$	23844.4	+	13147.1i	2.29602	+	1.26596i
$477$	−954.704	−	1873.71i	−0.0916412	−	0.179856i
$478$	−25002.8	−	9597.69i	−2.39248	−	0.918386i
$479$	−239.889	+	2282.40i	−0.0228827	+	0.217715i	0.977105	+	0.212758i	$0.0682445\pi$
$479$	−239.889	+	2282.40i	−0.0228827	+	0.217715i	−0.999988	+	0.00495692i	$0.998422\pi$
$480$	−9194.89	+	9108.58i	−0.874349	+	0.866141i
$481$	−12135.0	+	1275.44i	−1.15033	+	0.120904i
$482$	−161.078	−	161.078i	−0.0152218	−	0.0152218i
$483$	1929.21	−	13955.0i	0.181744	−	1.31464i
$484$	−14244.2	+	4628.23i	−1.33774	+	0.434657i
$485$	−274.158	+	156.566i	−0.0256678	+	0.0146584i
$486$	2824.28	+	13287.2i	0.263605	+	1.24016i
$487$	−697.189	−	13303.2i	−0.0648720	−	1.23783i	−0.816148	−	0.577843i	$-0.803895\pi$
$487$	−697.189	−	13303.2i	−0.0648720	−	1.23783i	0.751276	−	0.659988i	$-0.229439\pi$
$488$	36564.6	−	23745.3i	3.39181	−	2.20266i
$489$	−2215.56	+	6818.80i	−0.204890	+	0.630586i
$490$	−18399.2	+	6692.35i	−1.69631	+	0.616999i
$491$	852.556	+	2623.90i	0.0783612	+	0.241171i	0.982562	−	0.185938i	$-0.0595322\pi$
$491$	852.556	+	2623.90i	0.0783612	+	0.241171i	−0.904200	+	0.427108i	$0.859532\pi$
$492$	2910.58	+	2356.94i	0.266706	+	0.215974i
$493$	7393.42	+	1981.06i	0.675422	+	0.180979i
$494$	2466.31	−	5539.42i	0.224625	−	0.504515i
$495$	−2327.54	+	880.889i	−0.211344	+	0.0799859i
$496$	6863.66	−	9447.02i	0.621346	−	0.855209i
$497$	12198.3	−	2179.23i	1.10095	−	0.196683i
$498$	39731.0	−	20244.0i	3.57508	−	1.82160i
$499$	11604.5	+	6699.87i	1.04106	+	0.601057i	0.920134	−	0.391604i	$-0.128080\pi$
$499$	11604.5	+	6699.87i	1.04106	+	0.601057i	0.120927	+	0.992661i	$0.461413\pi$
$500$	−20977.2	−	14048.6i	−1.87626	−	1.25655i
$501$	−1416.41	−	2453.29i	−0.126308	−	0.218772i
$502$	1994.98	−	38066.6i	0.177372	−	3.38445i
$503$	6986.20	−	1106.50i	0.619283	−	0.0980847i	0.161093	−	0.986939i	$-0.448498\pi$
$503$	6986.20	−	1106.50i	0.619283	−	0.0980847i	0.458190	+	0.888854i	$0.348498\pi$
$504$	4015.39	+	8560.66i	0.354881	+	0.756591i
$505$	−16774.4	−	13715.1i	−1.47812	−	1.20855i
$506$	1496.44	+	14237.7i	0.131472	+	1.25088i
$507$	−1253.55	+	4678.29i	−0.109807	+	0.409803i
$508$	−1071.89	−	2792.38i	−0.0936173	−	0.243881i
$509$	−11247.2	−	2390.66i	−0.979417	−	0.208181i	−0.309729	−	0.950825i	$-0.600238\pi$
$509$	−11247.2	−	2390.66i	−0.979417	−	0.208181i	−0.669687	+	0.742643i	$0.733572\pi$
$510$	27587.2	+	5999.94i	2.39525	+	0.520945i
$511$	−1249.26	−	5356.10i	−0.108149	−	0.463679i
$512$	23162.4	+	11801.8i	1.99931	+	1.01870i
$513$	−1792.90	−	2760.82i	−0.154305	−	0.237608i
$514$	23756.6	−	5049.62i	2.03864	−	0.433326i
$515$	−16018.1	−	75.5357i	−1.37056	−	0.00646311i
$516$	11593.9	−	54544.8i	0.989131	−	4.65349i
$517$	−8850.22	−	1401.74i	−0.752867	−	0.119242i
$518$	−7392.00	+	29934.7i	−0.627000	+	2.53910i
$519$	−6261.24	−	8617.85i	−0.529553	−	0.728867i
$520$	5661.78	−	20738.4i	0.477472	−	1.74892i
$521$	6184.43	+	650.010i	0.520048	+	0.0546592i	0.360916	−	0.932598i	$-0.382464\pi$
$521$	6184.43	+	650.010i	0.520048	+	0.0546592i	0.159132	+	0.987257i	$0.449131\pi$
$522$	3002.31	+	3707.54i	0.251739	+	0.310871i
$523$	3792.28	+	198.745i	0.317065	+	0.0166167i	0.210205	−	0.977657i	$-0.432587\pi$
$523$	3792.28	+	198.745i	0.317065	+	0.0166167i	0.106860	+	0.994274i	$0.465920\pi$
$524$	−12307.6			−1.02607
$525$	−11296.9	+	8386.35i	−0.939119	+	0.697162i
$526$	4270.19			0.353971
$527$	−8054.10	−	422.097i	−0.665735	−	0.0348897i
$528$	−10096.6	−	12468.3i	−0.832197	−	1.02768i
$529$	−3479.29	−	365.688i	−0.285961	−	0.0300557i
$530$	10101.3	+	6627.77i	0.827870	+	0.543192i
$531$	−1476.67	−	2032.46i	−0.120681	−	0.166104i
$532$	−7655.90	−	7359.98i	−0.623920	−	0.599804i
$533$	−1260.68	−	199.673i	−0.102451	−	0.0162266i
$534$	3623.65	−	17047.9i	0.293653	−	1.38153i
$535$	14173.7	−	10196.0i	1.14539	−	0.823950i
$536$	−16146.4	+	3432.03i	−1.30115	+	0.276569i
$537$	3457.72	+	5324.42i	0.277861	+	0.427869i
$538$	24104.8	+	12282.0i	1.93166	+	0.984231i
$539$	−1892.62	−	7447.83i	−0.151245	−	0.595177i
$540$	−13942.5	−	15632.4i	−1.11109	−	1.24576i
$541$	−1307.24	−	277.863i	−0.103887	−	0.0220818i	0.155675	−	0.987808i	$-0.450245\pi$
$541$	−1307.24	−	277.863i	−0.103887	−	0.0220818i	−0.259562	+	0.965727i	$0.583578\pi$
$542$	−3870.59	−	10083.2i	−0.306746	−	0.799100i
$543$	377.076	−	1407.27i	0.0298009	−	0.111218i
$544$	1620.38	+	15416.9i	0.127708	+	1.21506i
$545$	3157.35	−	8110.64i	0.248157	−	0.637471i
$546$	−17640.9	−	12293.2i	−1.38271	−	0.963554i
$547$	19881.3	−	3148.89i	1.55405	−	0.246137i	0.680453	−	0.732792i	$-0.261783\pi$
$547$	19881.3	−	3148.89i	1.55405	−	0.246137i	0.873594	+	0.486655i	$0.161783\pi$
$548$	−2033.19	+	38795.5i	−0.158492	+	3.02420i
$549$	−4214.74	−	7300.14i	−0.327651	−	0.567509i
$550$	9102.19	−	11026.0i	0.705671	−	0.854819i
$551$	−2585.39	−	1492.68i	−0.199894	−	0.115409i
$552$	34828.1	−	17745.8i	2.68547	−	1.36832i
$553$	15901.5	+	5747.15i	1.22278	+	0.441942i
$554$	8211.59	−	11302.3i	0.629742	−	0.866765i
$555$	1055.29	+	22132.7i	0.0807111	+	1.69275i
$556$	−1178.46	+	2646.85i	−0.0898879	+	0.201891i
$557$	7771.16	+	2082.28i	0.591158	+	0.158400i	0.541982	−	0.840390i	$-0.317674\pi$
$557$	7771.16	+	2082.28i	0.591158	+	0.158400i	0.0491754	+	0.998790i	$0.484341\pi$
$558$	−3906.58	−	3163.49i	−0.296378	−	0.240002i
$559$	5872.74	+	18074.4i	0.444348	+	1.36756i
$560$	−19951.5	−	14043.6i	−1.50554	−	1.05973i
$561$	−3424.23	+	10538.7i	−0.257703	+	0.793127i
$562$	−36653.6	+	23803.1i	−2.75113	+	1.78661i
$563$	602.476	+	11495.9i	0.0451001	+	0.860561i	0.923727	+	0.383052i	$0.125127\pi$
$563$	602.476	+	11495.9i	0.0451001	+	0.860561i	−0.878627	+	0.477509i	$0.841540\pi$
$564$	9129.67	+	42951.7i	0.681610	+	3.20672i
$565$	−5104.41	−	560.844i	−0.380078	−	0.0417608i
$566$	24989.8	−	8119.68i	1.85583	−	0.602995i
$567$	−15415.4	+	6268.65i	−1.14178	+	0.464301i
$568$	24311.7	+	24311.7i	1.79595	+	1.79595i
$569$	−17989.8	+	1890.80i	−1.32543	+	0.139309i	−0.740655	−	0.671885i	$-0.765485\pi$
$569$	−17989.8	+	1890.80i	−1.32543	+	0.139309i	−0.584777	+	0.811194i	$0.698818\pi$
$570$	−9787.42	−	5045.21i	−0.719210	−	0.370738i
$571$	2377.98	−	22624.9i	0.174282	−	1.65818i	−0.462113	−	0.886821i	$-0.652908\pi$
$571$	2377.98	−	22624.9i	0.174282	−	1.65818i	0.636395	−	0.771363i	$-0.280425\pi$
$572$	14138.2	+	5427.14i	1.03347	+	0.396713i
$573$	1193.22	+	2341.82i	0.0869935	+	0.170734i
$574$	−1557.37	+	2824.55i	−0.113246	+	0.205391i
$575$	9730.74	+	12250.9i	0.705739	+	0.888520i
$576$	−148.157	+	256.615i	−0.0107174	+	0.0185630i
$577$	11231.7	+	7293.93i	0.810365	+	0.526257i	0.882042	−	0.471171i	$-0.156168\pi$
$577$	11231.7	+	7293.93i	0.810365	+	0.526257i	−0.0716773	+	0.997428i	$0.522835\pi$
$578$	6785.67	−	5494.92i	0.488316	−	0.395430i
$579$	−9243.40	+	4115.43i	−0.663458	+	0.295391i
$580$	−17702.1	−	6891.16i	−1.26731	−	0.493344i
$581$	16065.8	+	21220.4i	1.14719	+	1.51527i
$582$	−619.551	+	619.551i	−0.0441258	+	0.0441258i
$583$	−2984.22	+	3685.20i	−0.211996	+	0.261793i
$584$	10211.1	−	11340.5i	0.723522	−	0.803553i
$585$	−3946.86	−	1303.02i	−0.278944	−	0.0920910i
$586$	14327.0	−	12900.1i	1.00997	−	0.909381i
$587$	−6661.96	+	13074.8i	−0.468430	+	0.919346i	0.529063	+	0.848582i	$0.322543\pi$
$587$	−6661.96	+	13074.8i	−0.468430	+	0.919346i	−0.997493	+	0.0707631i	$0.977457\pi$
$588$	−30750.2	+	21738.6i	−2.15666	+	1.52463i
$589$	2991.66	+	972.050i	0.209286	+	0.0680011i
$590$	13157.6	+	5932.63i	0.918117	+	0.413970i
$591$	−1252.92	−	1128.14i	−0.0872055	−	0.0785202i
$592$	−35872.5	+	13770.2i	−2.49046	+	0.955998i
$593$	−2401.43	−	8962.26i	−0.166298	−	0.620634i	−0.997871	−	0.0652180i	$-0.979226\pi$
$593$	−2401.43	−	8962.26i	−0.166298	−	0.620634i	0.831573	−	0.555416i	$-0.187441\pi$
$594$	9596.86	−	6972.53i	0.662902	−	0.481627i
$595$	−629.602	+	16839.7i	−0.0433801	+	1.16027i
$596$	20808.4	+	15118.2i	1.43011	+	1.03904i
$597$	4618.40	−	12031.3i	0.316614	−	0.824807i
$598$	−13022.2	+	20052.5i	−0.890499	+	1.37125i
$599$	−11187.6	+	6459.16i	−0.763127	+	0.440591i	−0.830417	−	0.557142i	$-0.811898\pi$
$599$	−11187.6	+	6459.16i	−0.763127	+	0.440591i	0.0672905	+	0.997733i	$0.478565\pi$
$600$	−37011.9	−	12413.0i	−2.51834	−	0.844598i
$601$		−	5979.24i		−	0.405821i	−0.979197	−	0.202910i	$-0.934960\pi$
$601$		−	5979.24i		−	0.405821i	0.979197	−	0.202910i	$-0.0650400\pi$
$602$	47998.8	+	1567.95i	3.24964	+	0.106155i
$603$	499.270	+	3152.27i	0.0337178	+	0.212886i
$604$	−20983.7	−	47130.1i	−1.41360	−	3.17500i
$605$	−6523.35	−	6585.17i	−0.438367	−	0.442521i
$606$	−54933.8	−	24458.1i	−3.68240	−	1.63951i
$607$	−7494.70	+	2008.20i	−0.501154	+	0.134284i	−0.500536	−	0.865716i	$-0.666864\pi$
$607$	−7494.70	+	2008.20i	−0.501154	+	0.134284i	−0.000618591		1.00000i	$0.500197\pi$
$608$	945.820	−	5971.67i	0.0630889	−	0.398328i
$609$	−6927.08	+	8005.03i	−0.460919	+	0.532644i
$610$	41825.6	+	24411.7i	2.77618	+	1.62033i
$611$	−10013.7	−	11121.4i	−0.663031	−	0.736371i
$612$	14587.1	−	764.480i	0.963481	−	0.0504939i
$613$	4231.17	−	221.746i	0.278785	−	0.0146105i	0.0875689	−	0.996158i	$-0.472090\pi$
$613$	4231.17	−	221.746i	0.278785	−	0.0146105i	0.191216	+	0.981548i	$0.438757\pi$
$614$	−10466.9	−	11624.6i	−0.687962	−	0.764059i
$615$	−492.598	+	2264.92i	−0.0322983	+	0.148505i
$616$	13952.2	−	16123.3i	0.912579	−	1.05459i
$617$	3111.60	−	19645.9i	0.203028	−	1.28187i	−0.649972	−	0.759958i	$-0.725219\pi$
$617$	3111.60	−	19645.9i	0.203028	−	1.28187i	0.853000	−	0.521911i	$-0.174781\pi$
$618$	−42939.4	+	11505.6i	−2.79494	+	0.748903i
$619$	−4030.18	−	1794.35i	−0.261691	−	0.116512i	0.271698	−	0.962383i	$-0.412415\pi$
$619$	−4030.18	−	1794.35i	−0.261691	−	0.116512i	−0.533388	+	0.845870i	$0.679082\pi$
$620$	19754.5	+	3224.37i	1.27961	+	0.208861i
$621$	5279.61	+	11858.2i	0.341165	+	0.766269i
$622$	−6787.74	−	42856.1i	−0.437562	−	2.76266i
$623$	10397.5	+	339.652i	0.668650	+	0.0218425i
$624$		−	26795.1i		−	1.71901i
$625$	1926.06	−	15505.8i	0.123268	−	0.992373i
$626$	−2585.25	+	1492.59i	−0.165059	+	0.0952971i
$627$	2353.87	−	3624.65i	0.149928	−	0.230868i
$628$	−23452.0	+	61094.6i	−1.49019	+	3.88207i
$629$	21470.6	+	15599.3i	1.36103	+	0.988845i
$630$	−6486.76	+	8260.63i	−0.410220	+	0.522399i
$631$	11843.6	−	8604.88i	0.747205	−	0.542876i	−0.147754	−	0.989024i	$-0.547204\pi$
$631$	11843.6	−	8604.88i	0.747205	−	0.542876i	0.894959	+	0.446148i	$0.147204\pi$
$632$	12142.3	+	45315.7i	0.764233	+	2.85216i
$633$	−32375.8	+	12427.9i	−2.03290	+	0.780356i
$634$	−24278.7	−	21860.6i	−1.52087	−	1.36939i
$635$	1245.11	−	1369.79i	0.0778122	−	0.0856039i
$636$	22100.8	+	7180.97i	1.37791	+	0.447711i
$637$	5371.53	−	11656.0i	0.334109	−	0.725006i
$638$	4883.91	−	9585.21i	0.303066	−	0.594800i
$639$	4940.10	−	4448.08i	0.305833	−	0.275373i
$640$	−72.3119	+	15334.4i	−0.00446622	+	0.947103i
$641$	−19098.1	+	21210.6i	−1.17680	+	1.30697i	−0.234531	+	0.972109i	$0.575355\pi$
$641$	−19098.1	+	21210.6i	−1.17680	+	1.30697i	−0.942268	+	0.334859i	$0.891311\pi$
$642$	30494.1	−	37657.0i	1.87462	−	2.31496i
$643$	−515.604	+	515.604i	−0.0316227	+	0.0316227i	−0.722741	−	0.691119i	$-0.757118\pi$
$643$	−515.604	+	515.604i	−0.0316227	+	0.0316227i	0.691119	+	0.722741i	$0.257118\pi$
$644$	25276.7	+	33386.6i	1.54665	+	2.04288i
$645$	33377.0	−	8774.87i	2.03755	−	0.535675i
$646$	−12048.3	+	5364.25i	−0.733799	+	0.326708i
$647$	−16429.2	+	13304.1i	−0.998297	+	0.808405i	−0.981502	−	0.191454i	$-0.938680\pi$
$647$	−16429.2	+	13304.1i	−0.998297	+	0.808405i	−0.0167950	+	0.999859i	$0.505346\pi$
$648$	−38724.5	−	25148.0i	−2.34760	−	1.52455i
$649$	−2832.51	+	4906.05i	−0.171318	+	0.296732i
$650$	23402.9	−	4744.21i	1.41221	−	0.286282i
$651$	5385.77	−	9768.00i	0.324247	−	0.588077i
$652$	−9675.43	−	18989.1i	−0.581165	−	1.14060i
$653$	−23072.3	−	8856.62i	−1.38268	−	0.530760i	−0.450504	−	0.892774i	$-0.648756\pi$
$653$	−23072.3	−	8856.62i	−1.38268	−	0.530760i	−0.932173	+	0.362014i	$0.882089\pi$
$654$	2524.80	−	24021.9i	0.150960	−	1.43628i
$655$	−3426.00	−	6803.03i	−0.204374	−	0.405826i
$656$	−3997.48	+	420.152i	−0.237920	+	0.0250064i
$657$	−2086.30	−	2086.30i	−0.123888	−	0.123888i
$658$	−35031.4	+	14245.5i	−2.07548	+	0.843991i
$659$	−6769.68	+	2199.60i	−0.400166	+	0.130022i	−0.502184	−	0.864761i	$-0.667470\pi$
$659$	−6769.68	+	2199.60i	−0.400166	+	0.130022i	0.102018	+	0.994783i	$0.467470\pi$
$660$	11303.9	−	25070.1i	0.666672	−	1.47857i
$661$	2061.04	+	9696.45i	0.121279	+	0.570572i	0.996259	+	0.0864138i	$0.0275407\pi$
$661$	2061.04	+	9696.45i	0.121279	+	0.570572i	−0.874981	+	0.484158i	$0.839126\pi$
$662$	−1717.60	−	32773.8i	−0.100841	−	1.92415i
$663$	−15521.1	+	10079.5i	−0.909185	+	0.590432i
$664$	−22821.0	+	70235.8i	−1.33377	+	4.10493i
$665$	1937.10	−	6280.57i	0.112959	−	0.366241i
$666$	5111.52	+	15731.6i	0.297398	+	0.915298i
$667$	9148.30	+	7408.15i	0.531070	+	0.430052i
$668$	8133.62	+	2179.40i	0.471107	+	0.126233i
$669$	−8260.11	+	18552.5i	−0.477361	+	1.07217i
$670$	−11471.8	−	14303.9i	−0.661486	−	0.824790i
$671$	−11172.7	+	15377.8i	−0.642795	+	0.884732i
$672$	−20163.0	−	7287.37i	−1.15745	−	0.418328i
$673$	1565.82	−	797.825i	0.0896849	−	0.0456967i	−0.408573	−	0.912726i	$-0.633973\pi$
$673$	1565.82	−	797.825i	0.0896849	−	0.0456967i	0.498258	+	0.867029i	$0.333973\pi$
$674$	−11621.3	−	6709.58i	−0.664150	−	0.383447i
$675$	4759.69	−	12058.3i	0.271408	−	0.687589i
$676$	−7198.40	−	12468.0i	−0.409559	−	0.709376i
$677$	−1205.88	+	23009.6i	−0.0684575	+	1.30625i	0.721212	+	0.692715i	$0.243586\pi$
$677$	−1205.88	+	23009.6i	−0.0684575	+	1.30625i	−0.789669	+	0.613533i	$0.789748\pi$
$678$	−14075.7	+	2229.37i	−0.797304	+	0.126281i
$679$	−429.076	−	299.005i	−0.0242510	−	0.0168995i
$680$	−39333.3	+	25280.4i	−2.21818	+	1.42568i
$681$	714.761	+	6800.50i	0.0402198	+	0.382666i
$682$	−2933.78	+	10949.0i	−0.164722	+	0.614751i
$683$	4684.06	+	12202.4i	0.262417	+	0.683619i	0.999965	+	0.00832507i	$0.00264998\pi$
$683$	4684.06	+	12202.4i	0.262417	+	0.683619i	−0.737549	+	0.675294i	$0.764017\pi$
$684$	−5572.68	−	1184.51i	−0.311516	−	0.0662147i
$685$	−22010.2	+	9675.48i	−1.22769	+	0.539681i
$686$	−23087.2	−	22777.4i	−1.28495	−	1.26770i
$687$	−19695.8	−	10035.5i	−1.09380	−	0.557319i
$688$	32595.1	+	50192.1i	1.80622	+	2.78133i
$689$	−7746.65	+	1646.60i	−0.428337	+	0.0910458i
$690$	35005.9	+	25686.4i	1.93138	+	1.41719i
$691$	4529.10	−	21307.7i	0.249342	−	1.17306i	−0.658116	−	0.752916i	$-0.728646\pi$
$691$	4529.10	−	21307.7i	0.249342	−	1.17306i	0.907458	−	0.420144i	$-0.138020\pi$
$692$	31274.0	+	4953.32i	1.71801	+	0.272105i
$693$	−2971.90	−	2857.02i	−0.162905	−	0.156608i
$694$	−8774.92	−	12077.6i	−0.479959	−	0.660606i
$695$	−1791.09	+	85.3999i	−0.0977554	+	0.00466101i
$696$	−29211.7	−	3070.28i	−1.59090	−	0.167211i
$697$	1747.11	+	2157.50i	0.0949446	+	0.117247i
$698$	−16290.7	−	853.758i	−0.883397	−	0.0462969i
$699$	−25266.1			−1.36717
$700$	6117.63	−	41371.8i	0.330321	−	2.23387i
$701$	−8415.79			−0.453438			−0.226719	−	0.973960i	$-0.572800\pi$
$701$	−8415.79			−0.453438			−0.226719	+	0.973960i	$0.572800\pi$
$702$	19784.6	+	1036.87i	1.06370	+	0.0557464i
$703$	−6514.05	−	8044.18i	−0.349477	−	0.431568i
$704$	664.512	+	69.8430i	0.0355749	+	0.00373907i
$705$	−21200.2	+	17002.7i	−1.13255	+	0.908310i
$706$	24238.7	+	33361.7i	1.29212	+	1.77845i
$707$	8604.74	−	34845.8i	0.457729	−	1.85362i
$708$	27419.7	+	4342.85i	1.45550	+	0.230529i
$709$	−2100.72	+	9883.13i	−0.111276	+	0.523510i	0.886836	+	0.462084i	$0.152898\pi$
$709$	−2100.72	+	9883.13i	−0.111276	+	0.523510i	−0.998112	+	0.0614262i	$0.980435\pi$
$710$	−11972.8	+	36265.8i	−0.632862	+	1.91694i
$711$	8872.39	−	1885.89i	0.467990	−	0.0994743i
$712$	15721.0	+	24208.2i	0.827483	+	1.27421i
$713$	−11051.7	−	5631.13i	−0.580491	−	0.295775i
$714$	10622.8	+	45544.1i	0.556788	+	2.38718i
$715$	935.722	+	9325.62i	0.0489427	+	0.487774i
$716$	−18459.0	−	3923.58i	−0.963470	−	0.204792i
$717$	−11425.0	−	29763.2i	−0.595085	−	1.55025i
$718$	8410.93	−	31390.0i	0.437177	−	1.63157i
$719$	−792.289	−	7538.13i	−0.0410951	−	0.390994i	−0.995665	−	0.0930080i	$-0.970352\pi$
$719$	−792.289	−	7538.13i	−0.0410951	−	0.390994i	0.954570	−	0.297986i	$-0.0963149\pi$
$720$	−13067.5	−	746.647i	−0.676387	−	0.0386471i
$721$	−11268.0	−	24022.9i	−0.582027	−	1.24086i
$722$	−29506.4	+	4673.35i	−1.52093	+	0.240892i
$723$	14.1919	−	270.798i	0.000730019	−	0.0139296i
$724$	2165.33	+	3750.47i	0.111152	+	0.192521i
$725$	−1118.56	−	11703.1i	−0.0572997	−	0.599508i
$726$	−22277.8	−	12862.1i	−1.13885	−	0.657516i
$727$	−22878.0	+	11656.9i	−1.16712	+	0.594678i	−0.926631	−	0.375973i	$-0.877309\pi$
$727$	−22878.0	+	11656.9i	−1.16712	+	0.594678i	−0.240491	+	0.970651i	$0.577309\pi$
$728$	35055.4	−	6262.63i	1.78467	−	0.318830i
$729$	4755.39	−	6545.23i	0.241599	−	0.332532i
$730$	16352.4	+	4464.36i	0.829080	+	0.226347i
$731$	16812.5	−	37761.5i	0.850661	−	1.91062i
$732$	89975.3	+	24108.8i	4.54315	+	1.21733i
$733$	15963.9	+	12927.3i	0.804421	+	0.651408i	0.940691	−	0.339264i	$-0.110178\pi$
$733$	15963.9	+	12927.3i	0.804421	+	0.651408i	−0.136270	+	0.990672i	$0.543511\pi$
$734$	5328.85	+	16400.5i	0.267972	+	0.824733i
$735$	−20575.8	−	10945.9i	−1.03258	−	0.549316i
$736$	−7367.17	+	22673.8i	−0.368964	+	1.13555i
$737$	6035.75	−	3919.66i	0.301669	−	0.195906i
$738$	90.5585	+	1727.96i	0.00451695	+	0.0861885i
$739$	6098.66	+	28691.9i	0.303576	+	1.42821i	0.820237	+	0.572023i	$0.193841\pi$
$739$	6098.66	+	28691.9i	0.303576	+	1.42821i	−0.516661	+	0.856190i	$0.672825\pi$
$740$	−48738.2	−	44302.0i	−2.42115	−	2.20078i
$741$	6864.86	−	2230.53i	0.340333	−	0.110581i
$742$	−2740.65	+	19824.5i	−0.135596	+	0.980836i
$743$	−14418.5	−	14418.5i	−0.711927	−	0.711927i	0.255011	−	0.966938i	$-0.417921\pi$
$743$	−14418.5	−	14418.5i	−0.711927	−	0.711927i	−0.966938	+	0.255011i	$0.917921\pi$
$744$	30780.0	−	3235.11i	1.51673	−	0.159415i
$745$	−2564.26	+	15710.3i	−0.126104	+	0.772590i
$746$	−2030.60	+	19319.9i	−0.0996591	+	0.948193i
$747$	13330.1	+	5116.96i	0.652911	+	0.250629i
$748$	−14953.7	−	29348.4i	−0.730966	−	1.43460i
$749$	25327.8	+	13965.0i	1.23559	+	0.681267i
$750$	−6176.88	−	42920.6i	−0.300731	−	2.08965i
$751$	2767.87	−	4794.10i	0.134489	−	0.232941i	−0.790913	−	0.611928i	$-0.790394\pi$
$751$	2767.87	−	4794.10i	0.134489	−	0.232941i	0.925402	+	0.378987i	$0.123727\pi$
$752$	−39524.1	−	25667.3i	−1.91662	−	1.24467i
$753$	35264.1	−	28556.3i	1.70663	−	1.38200i
$754$	16413.5	−	7307.77i	0.792765	−	0.352962i
$755$	20210.1	−	24718.1i	0.974199	−	1.19150i
$756$	13485.7	−	31970.4i	0.648772	−	1.53803i
$757$	−18917.0	+	18917.0i	−0.908254	+	0.908254i	−0.996131	−	0.0878771i	$-0.971992\pi$
$757$	−18917.0	+	18917.0i	−0.908254	+	0.908254i	0.0878771	+	0.996131i	$0.471992\pi$
$758$	19016.3	−	23483.2i	0.911219	−	1.12526i
$759$	−11403.2	+	12664.6i	−0.545337	+	0.605658i
$760$	17370.2	−	5553.51i	0.829059	−	0.265062i
$761$	−12641.8	+	11382.7i	−0.602188	+	0.542212i	−0.912843	−	0.408310i	$-0.866118\pi$
$761$	−12641.8	+	11382.7i	−0.602188	+	0.542212i	0.310655	+	0.950523i	$0.399451\pi$
$762$	2332.26	−	4577.33i	0.110878	−	0.217610i
$763$	14380.0	−	1038.09i	0.682294	−	0.0492547i
$764$	−7430.21	−	2414.22i	−0.351853	−	0.114324i
$765$	4483.12	+	7850.25i	0.211879	+	0.371015i
$766$	54156.5	+	48762.7i	2.55451	+	2.30009i
$767$	−8832.90	+	3390.63i	−0.415825	+	0.159620i
$768$	11389.8

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 175 = 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	175.x (of order \(60\), degree \(16\), minimal)

\(f(q)\)	\(=\)	\(q+(-5.09842 - 0.267197i) q^{2} +(-3.82466 - 4.72307i) q^{3} +(17.9663 + 1.88833i) q^{4} +(3.95741 + 10.4565i) q^{5} +(18.2377 + 25.1021i) q^{6} +(-12.8352 + 13.3513i) q^{7} +(-50.7546 - 8.03874i) q^{8} +(-2.06569 + 9.71831i) q^{9} +(-17.3826 - 54.3691i) q^{10} +(21.9143 - 4.65803i) q^{11} +(-59.7963 - 92.0782i) q^{12} +(33.3392 + 16.9872i) q^{13} +(69.0067 - 64.6409i) q^{14} +(34.2511 - 58.6838i) q^{15} +(115.256 + 24.4985i) q^{16} +(-29.1652 - 75.9779i) q^{17} +(13.1285 - 48.9961i) q^{18} +(3.31790 + 31.5677i) q^{19} +(51.3546 + 195.338i) q^{20} +(112.149 + 9.55740i) q^{21} +(-112.973 + 17.8932i) q^{22} +(6.55046 - 124.990i) q^{23} +(156.152 + 270.463i) q^{24} +(-93.6778 + 82.7615i) q^{25} +(-165.438 - 95.5158i) q^{26} +(-92.4055 + 47.0830i) q^{27} +(-255.813 + 215.636i) q^{28} +(-55.2822 + 76.0894i) q^{29} +(-190.307 + 290.043i) q^{30} +(40.3079 - 90.5331i) q^{31} +(-183.988 - 49.2996i) q^{32} +(-105.815 - 85.6874i) q^{33} +(128.395 + 395.160i) q^{34} +(-190.402 - 81.3753i) q^{35} +(-55.4642 + 170.701i) q^{36} +(-273.490 + 177.607i) q^{37} +(-8.48126 - 161.832i) q^{38} +(-47.2797 - 222.434i) q^{39} +(-116.799 - 562.529i) q^{40} +(-32.4428 + 10.5413i) q^{41} +(-569.231 - 78.6936i) q^{42} +(359.144 + 359.144i) q^{43} +(402.515 - 42.3060i) q^{44} +(-109.795 + 16.8594i) q^{45} +(-66.7939 + 635.502i) q^{46} +(-373.390 - 143.331i) q^{47} +(-325.109 - 638.062i) q^{48} +(-13.5141 - 342.734i) q^{49} +(499.722 - 396.922i) q^{50} +(-247.302 + 428.339i) q^{51} +(566.904 + 368.152i) q^{52} +(-164.489 + 133.201i) q^{53} +(483.702 - 215.358i) q^{54} +(135.431 + 210.714i) q^{55} +(758.774 - 574.460i) q^{56} +(136.407 - 136.407i) q^{57} +(302.182 - 373.164i) q^{58} +(-169.195 + 187.910i) q^{59} +(726.180 - 989.653i) q^{60} +(-630.503 + 567.708i) q^{61} +(-229.697 + 450.805i) q^{62} +(-103.238 - 152.316i) q^{63} +(28.3642 + 9.21610i) q^{64} +(-45.6899 + 415.837i) q^{65} +(516.594 + 465.144i) q^{66} +(299.894 - 115.119i) q^{67} +(-380.518 - 1420.11i) q^{68} +(-615.390 + 447.107i) q^{69} +(949.007 + 465.760i) q^{70} +(-541.294 - 393.273i) q^{71} +(182.966 - 476.643i) q^{72} +(-161.739 + 249.056i) q^{73} +(1441.82 - 832.436i) q^{74} +(749.174 + 125.912i) q^{75} +573.420i q^{76} +(-219.084 + 352.371i) q^{77} +(181.618 + 1146.69i) q^{78} +(-371.333 - 834.027i) q^{79} +(199.947 + 1302.13i) q^{80} +(820.861 + 365.471i) q^{81} +(168.223 - 45.0753i) q^{82} +(224.817 - 1419.44i) q^{83} +(1996.86 + 383.487i) q^{84} +(679.046 - 605.642i) q^{85} +(-1735.10 - 1927.03i) q^{86} +(570.811 - 29.9149i) q^{87} +(-1149.70 + 60.2531i) q^{88} +(-375.860 - 417.435i) q^{89} +(564.283 - 56.6195i) q^{90} +(-654.717 + 227.087i) q^{91} +(353.710 - 2233.24i) q^{92} +(-581.758 + 155.882i) q^{93} +(1865.40 + 830.529i) q^{94} +(-316.959 + 159.620i) q^{95} +(470.849 + 1057.54i) q^{96} +(4.41746 + 27.8907i) q^{97} +(-22.6768 + 1751.01i) q^{98} +222.592i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 928 q - 8 q^{2} - 24 q^{3} - 10 q^{4} - 24 q^{7} + 84 q^{8} - 10 q^{9} - 96 q^{10} - 6 q^{11} - 72 q^{12} - 20 q^{14} - 368 q^{15} - 1670 q^{16} + 120 q^{17} - 14 q^{18} - 30 q^{19} - 12 q^{21} - 880 q^{22}+ \cdots - 19478 q^{98}+O(q^{100}) \) 928 * q - 8 * q^2 - 24 * q^3 - 10 * q^4 - 24 * q^7 + 84 * q^8 - 10 * q^9 - 96 * q^10 - 6 * q^11 - 72 * q^12 - 20 * q^14 - 368 * q^15 - 1670 * q^16 + 120 * q^17 - 14 * q^18 - 30 * q^19 - 12 * q^21 - 880 * q^22 + 296 * q^23 + 32 * q^25 - 48 * q^26 + 226 * q^28 - 200 * q^29 - 38 * q^30 - 18 * q^31 - 964 * q^32 - 1092 * q^33 + 288 * q^35 + 7400 * q^36 - 392 * q^37 + 5424 * q^38 + 2430 * q^39 + 2172 * q^40 - 2098 * q^42 + 1560 * q^43 - 10 * q^44 - 4224 * q^45 - 6 * q^46 + 96 * q^47 + 6232 * q^50 - 16 * q^51 - 8928 * q^52 - 2384 * q^53 - 30 * q^54 + 244 * q^56 + 1556 * q^57 + 640 * q^58 + 4890 * q^59 + 3676 * q^60 - 18 * q^61 + 224 * q^63 - 9700 * q^64 - 1116 * q^65 - 2610 * q^66 - 2404 * q^67 - 13614 * q^68 - 1700 * q^70 - 24 * q^71 - 518 * q^72 - 4200 * q^73 - 16104 * q^75 - 722 * q^77 - 356 * q^78 - 10 * q^79 + 6414 * q^80 - 6810 * q^81 + 1692 * q^82 + 20620 * q^84 + 2712 * q^85 - 6 * q^86 + 9102 * q^87 + 1650 * q^88 + 20370 * q^89 - 12 * q^91 + 1612 * q^92 - 4604 * q^93 - 30 * q^94 + 1652 * q^95 - 2610 * q^96 - 19478 * q^98

Introduction

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