LMFDB - Embedded newform 224.2.u.b.85.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [224,2,Mod(29,224)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(224, base_ring=CyclotomicField(8))

chi = DirichletCharacter(H, H._module([0, 3, 0]))

N = Newforms(chi, 2, names="a")

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

chi := DirichletCharacter("224.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 224 = 2^{5} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	224.u (of order $8$, degree $4$, 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:	$1.78864900528$
Analytic rank:	$0$
Dimension:	$40$
Relative dimension:	$10$ over $\Q(\zeta_{8})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label			85.6
Character	$\chi$	$=$	224.85
Dual form			224.2.u.b.29.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.270256 + 1.38815i) q^{2} +(0.350600 - 0.145223i) q^{3} +(-1.85392 + 0.750313i) q^{4} +(-1.27761 + 3.08441i) q^{5} +(0.296344 + 0.447438i) q^{6} +(-0.707107 - 0.707107i) q^{7} +(-1.54258 - 2.37075i) q^{8} +(-2.01949 + 2.01949i) q^{9} +O(q^{10})$	\(q+(0.270256 + 1.38815i) q^{2} +(0.350600 - 0.145223i) q^{3} +(-1.85392 + 0.750313i) q^{4} +(-1.27761 + 3.08441i) q^{5} +(0.296344 + 0.447438i) q^{6} +(-0.707107 - 0.707107i) q^{7} +(-1.54258 - 2.37075i) q^{8} +(-2.01949 + 2.01949i) q^{9} +(-4.62691 - 0.939927i) q^{10} +(3.31889 + 1.37473i) q^{11} +(-0.541023 + 0.532293i) q^{12} +(-1.83535 - 4.43092i) q^{13} +(0.790470 - 1.17267i) q^{14} +1.26693i q^{15} +(2.87406 - 2.78204i) q^{16} +4.85931i q^{17} +(-3.34914 - 2.25758i) q^{18} +(2.38824 + 5.76571i) q^{19} +(0.0543077 - 6.67687i) q^{20} +(-0.350600 - 0.145223i) q^{21} +(-1.01138 + 4.97865i) q^{22} +(-1.45121 + 1.45121i) q^{23} +(-0.885117 - 0.607165i) q^{24} +(-4.34579 - 4.34579i) q^{25} +(5.65476 - 3.74522i) q^{26} +(-0.850426 + 2.05311i) q^{27} +(1.84147 + 0.780370i) q^{28} +(8.74881 - 3.62387i) q^{29} +(-1.75869 + 0.342397i) q^{30} +2.57834 q^{31} +(4.63863 + 3.23776i) q^{32} +1.36325 q^{33} +(-6.74545 + 1.31326i) q^{34} +(3.08441 - 1.27761i) q^{35} +(2.22873 - 5.25923i) q^{36} +(1.67989 - 4.05560i) q^{37} +(-7.35824 + 4.87345i) q^{38} +(-1.28694 - 1.28694i) q^{39} +(9.28317 - 1.72908i) q^{40} +(0.148378 - 0.148378i) q^{41} +(0.106840 - 0.525933i) q^{42} +(3.45368 + 1.43056i) q^{43} +(-7.18444 - 0.0584361i) q^{44} +(-3.64883 - 8.80905i) q^{45} +(-2.40670 - 1.62230i) q^{46} +1.19637i q^{47} +(0.603628 - 1.39277i) q^{48} +1.00000i q^{49} +(4.85814 - 7.20709i) q^{50} +(0.705685 + 1.70367i) q^{51} +(6.72716 + 6.83749i) q^{52} +(-2.72066 - 1.12693i) q^{53} +(-3.07986 - 0.625653i) q^{54} +(-8.48046 + 8.48046i) q^{55} +(-0.585601 + 2.76714i) q^{56} +(1.67463 + 1.67463i) q^{57} +(7.39490 + 11.1653i) q^{58} +(2.53460 - 6.11906i) q^{59} +(-0.950597 - 2.34880i) q^{60} +(-10.1139 + 4.18932i) q^{61} +(0.696812 + 3.57912i) q^{62} +2.85599 q^{63} +(-3.24088 + 7.31414i) q^{64} +16.0116 q^{65} +(0.368426 + 1.89239i) q^{66} +(13.2305 - 5.48024i) q^{67} +(-3.64600 - 9.00878i) q^{68} +(-0.298046 + 0.719546i) q^{69} +(2.60709 + 3.93635i) q^{70} +(11.0523 + 11.0523i) q^{71} +(7.90293 + 1.67247i) q^{72} +(-9.21666 + 9.21666i) q^{73} +(6.08379 + 1.23588i) q^{74} +(-2.15475 - 0.892525i) q^{75} +(-8.75370 - 8.89727i) q^{76} +(-1.37473 - 3.31889i) q^{77} +(1.43867 - 2.13428i) q^{78} -7.49433i q^{79} +(4.90906 + 12.4191i) q^{80} -7.72465i q^{81} +(0.246071 + 0.165871i) q^{82} +(-4.15225 - 10.0244i) q^{83} +(0.758949 + 0.00617306i) q^{84} +(-14.9881 - 6.20828i) q^{85} +(-1.05246 + 5.18085i) q^{86} +(2.54106 - 2.54106i) q^{87} +(-1.86052 - 9.98888i) q^{88} +(-1.68016 - 1.68016i) q^{89} +(11.2422 - 7.44583i) q^{90} +(-1.83535 + 4.43092i) q^{91} +(1.60158 - 3.77931i) q^{92} +(0.903965 - 0.374434i) q^{93} +(-1.66075 + 0.323328i) q^{94} -20.8351 q^{95} +(2.09650 + 0.461523i) q^{96} -7.83305 q^{97} +(-1.38815 + 0.270256i) q^{98} +(-9.47871 + 3.92621i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q + 4 q^{2} + 4 q^{3} + 8 q^{5} + 12 q^{6} - 8 q^{8} + 8 q^{9}+O(q^{10}) $ 40 * q + 4 * q^2 + 4 * q^3 + 8 * q^5 + 12 * q^6 - 8 * q^8 + 8 * q^9	$ 40 q + 4 q^{2} + 4 q^{3} + 8 q^{5} + 12 q^{6} - 8 q^{8} + 8 q^{9} - 16 q^{10} + 12 q^{11} - 36 q^{12} + 8 q^{16} + 4 q^{19} - 4 q^{21} - 52 q^{22} + 16 q^{23} - 8 q^{24} - 16 q^{25} + 12 q^{26} - 32 q^{27} + 8 q^{28} + 16 q^{29} + 36 q^{30} + 24 q^{31} - 36 q^{32} + 8 q^{33} - 8 q^{34} - 8 q^{36} + 16 q^{37} - 12 q^{38} - 24 q^{39} + 36 q^{40} + 8 q^{41} + 52 q^{43} - 44 q^{44} - 64 q^{45} - 32 q^{46} - 36 q^{48} + 52 q^{50} + 16 q^{51} - 16 q^{52} - 32 q^{54} - 8 q^{55} + 12 q^{56} - 8 q^{57} + 40 q^{58} + 20 q^{59} + 52 q^{60} - 16 q^{61} - 12 q^{62} - 24 q^{63} - 48 q^{64} - 80 q^{65} - 40 q^{66} - 4 q^{67} - 4 q^{68} - 40 q^{69} + 32 q^{70} + 72 q^{72} - 24 q^{73} - 12 q^{74} + 20 q^{75} - 72 q^{76} + 4 q^{77} + 12 q^{78} + 60 q^{80} + 16 q^{82} + 4 q^{83} + 8 q^{84} - 64 q^{85} - 48 q^{86} - 32 q^{87} + 16 q^{88} + 32 q^{89} + 20 q^{90} + 108 q^{92} - 24 q^{93} + 68 q^{94} - 80 q^{95} - 40 q^{96} + 56 q^{97} + 4 q^{98} - 60 q^{99}+O(q^{100}) $ 40 * q + 4 * q^2 + 4 * q^3 + 8 * q^5 + 12 * q^6 - 8 * q^8 + 8 * q^9 - 16 * q^10 + 12 * q^11 - 36 * q^12 + 8 * q^16 + 4 * q^19 - 4 * q^21 - 52 * q^22 + 16 * q^23 - 8 * q^24 - 16 * q^25 + 12 * q^26 - 32 * q^27 + 8 * q^28 + 16 * q^29 + 36 * q^30 + 24 * q^31 - 36 * q^32 + 8 * q^33 - 8 * q^34 - 8 * q^36 + 16 * q^37 - 12 * q^38 - 24 * q^39 + 36 * q^40 + 8 * q^41 + 52 * q^43 - 44 * q^44 - 64 * q^45 - 32 * q^46 - 36 * q^48 + 52 * q^50 + 16 * q^51 - 16 * q^52 - 32 * q^54 - 8 * q^55 + 12 * q^56 - 8 * q^57 + 40 * q^58 + 20 * q^59 + 52 * q^60 - 16 * q^61 - 12 * q^62 - 24 * q^63 - 48 * q^64 - 80 * q^65 - 40 * q^66 - 4 * q^67 - 4 * q^68 - 40 * q^69 + 32 * q^70 + 72 * q^72 - 24 * q^73 - 12 * q^74 + 20 * q^75 - 72 * q^76 + 4 * q^77 + 12 * q^78 + 60 * q^80 + 16 * q^82 + 4 * q^83 + 8 * q^84 - 64 * q^85 - 48 * q^86 - 32 * q^87 + 16 * q^88 + 32 * q^89 + 20 * q^90 + 108 * q^92 - 24 * q^93 + 68 * q^94 - 80 * q^95 - 40 * q^96 + 56 * q^97 + 4 * q^98 - 60 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/224\mathbb{Z}\right)^\times$.

$n$	$127$	$129$	$197$
$\chi(n)$	$1$	$1$	$e\left(\frac{5}{8}\right)$

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 $

$2$	0.270256	+	1.38815i	0.191100	+	0.981571i
$2$	0.270256	+	1.38815i	0.191100	+	0.981571i
$3$	0.350600	−	0.145223i	0.202419	−	0.0838447i	−0.279171	−	0.960241i	$-0.590060\pi$
$3$	0.350600	−	0.145223i	0.202419	−	0.0838447i	0.481590	+	0.876397i	$0.340060\pi$
$4$	−1.85392	+	0.750313i	−0.926962	+	0.375156i
$5$	−1.27761	+	3.08441i	−0.571363	+	1.37939i	0.329033	+	0.944319i	$0.393277\pi$
$5$	−1.27761	+	3.08441i	−0.571363	+	1.37939i	−0.900395	+	0.435073i	$0.856723\pi$
$6$	0.296344	+	0.447438i	0.120982	+	0.182666i
$7$	−0.707107	−	0.707107i	−0.267261	−	0.267261i
$7$	−0.707107	−	0.707107i	−0.267261	−	0.267261i
$8$	−1.54258	−	2.37075i	−0.545385	−	0.838186i
$9$	−2.01949	+	2.01949i	−0.673163	+	0.673163i
$10$	−4.62691	−	0.939927i	−1.46316	−	0.297231i
$11$	3.31889	+	1.37473i	1.00068	+	0.414496i	0.822047	−	0.569419i	$-0.192832\pi$
$11$	3.31889	+	1.37473i	1.00068	+	0.414496i	0.178635	+	0.983915i	$0.442832\pi$
$12$	−0.541023	+	0.532293i	−0.156180	+	0.153660i
$13$	−1.83535	−	4.43092i	−0.509033	−	1.22891i	−0.944441	−	0.328682i	$-0.893396\pi$
$13$	−1.83535	−	4.43092i	−0.509033	−	1.22891i	0.435408	−	0.900233i	$-0.356604\pi$
$14$	0.790470	−	1.17267i	0.211262	−	0.313409i
$15$			1.26693i			0.327121i
$16$	2.87406	−	2.78204i	0.718515	−	0.695511i
$17$			4.85931i			1.17856i	0.807931	+	0.589278i	$0.200588\pi$
$17$			4.85931i			1.17856i	−0.807931	+	0.589278i	$0.799412\pi$
$18$	−3.34914	−	2.25758i	−0.789399	−	0.532116i
$19$	2.38824	+	5.76571i	0.547899	+	1.32275i	0.919038	+	0.394168i	$0.128967\pi$
$19$	2.38824	+	5.76571i	0.547899	+	1.32275i	−0.371139	+	0.928577i	$0.621033\pi$
$20$	0.0543077	−	6.67687i	0.0121436	−	1.49299i
$21$	−0.350600	−	0.145223i	−0.0765072	−	0.0316903i
$22$	−1.01138	+	4.97865i	−0.215627	+	1.06145i
$23$	−1.45121	+	1.45121i	−0.302599	+	0.302599i	−0.842030	−	0.539431i	$-0.818639\pi$
$23$	−1.45121	+	1.45121i	−0.302599	+	0.302599i	0.539431	+	0.842030i	$0.318639\pi$
$24$	−0.885117	−	0.607165i	−0.180674	−	0.123937i
$25$	−4.34579	−	4.34579i	−0.869159	−	0.869159i
$26$	5.65476	−	3.74522i	1.10899	−	0.734498i
$27$	−0.850426	+	2.05311i	−0.163665	+	0.395121i
$28$	1.84147	+	0.780370i	0.348006	+	0.147476i
$29$	8.74881	−	3.62387i	1.62461	−	0.672937i	0.630000	−	0.776595i	$-0.283055\pi$
$29$	8.74881	−	3.62387i	1.62461	−	0.672937i	0.994613	+	0.103659i	$0.0330549\pi$
$30$	−1.75869	+	0.342397i	−0.321092	+	0.0625128i
$31$	2.57834			0.463083			0.231541	−	0.972825i	$-0.425623\pi$
$31$	2.57834			0.463083			0.231541	+	0.972825i	$0.425623\pi$
$32$	4.63863	+	3.23776i	0.820002	+	0.572361i
$33$	1.36325			0.237311
$34$	−6.74545	+	1.31326i	−1.15684	+	0.225222i
$35$	3.08441	−	1.27761i	0.521361	−	0.215955i
$36$	2.22873	−	5.25923i	0.371455	−	0.876538i
$37$	1.67989	−	4.05560i	0.276172	−	0.666737i	−0.723551	−	0.690270i	$-0.757492\pi$
$37$	1.67989	−	4.05560i	0.276172	−	0.666737i	0.999723	+	0.0235332i	$0.00749156\pi$
$38$	−7.35824	+	4.87345i	−1.19366	+	0.790578i
$39$	−1.28694	−	1.28694i	−0.206076	−	0.206076i
$40$	9.28317	−	1.72908i	1.46780	−	0.273391i
$41$	0.148378	−	0.148378i	0.0231728	−	0.0231728i	−0.695425	−	0.718598i	$-0.744784\pi$
$41$	0.148378	−	0.148378i	0.0231728	−	0.0231728i	0.718598	+	0.695425i	$0.244784\pi$
$42$	0.106840	−	0.525933i	0.0164858	−	0.0811533i
$43$	3.45368	+	1.43056i	0.526682	+	0.218159i	0.630149	−	0.776474i	$-0.282994\pi$
$43$	3.45368	+	1.43056i	0.526682	+	0.218159i	−0.103467	+	0.994633i	$0.532994\pi$
$44$	−7.18444	−	0.0584361i	−1.08310	−	0.00880958i
$45$	−3.64883	−	8.80905i	−0.543935	−	1.31318i
$46$	−2.40670	−	1.62230i	−0.354849	−	0.239196i
$47$			1.19637i			0.174509i	0.996186	+	0.0872545i	$0.0278093\pi$
$47$			1.19637i			0.174509i	−0.996186	+	0.0872545i	$0.972191\pi$
$48$	0.603628	−	1.39277i	0.0871262	−	0.201028i
$49$			1.00000i			0.142857i
$50$	4.85814	−	7.20709i	0.687044	−	1.01924i
$51$	0.705685	+	1.70367i	0.0988156	+	0.238562i
$52$	6.72716	+	6.83749i	0.932890	+	0.948190i
$53$	−2.72066	−	1.12693i	−0.373711	−	0.154796i	0.187919	−	0.982184i	$-0.439826\pi$
$53$	−2.72066	−	1.12693i	−0.373711	−	0.154796i	−0.561630	+	0.827388i	$0.689826\pi$
$54$	−3.07986	−	0.625653i	−0.419116	−	0.0851406i
$55$	−8.48046	+	8.48046i	−1.14351	+	1.14351i
$56$	−0.585601	+	2.76714i	−0.0782543	+	0.369775i
$57$	1.67463	+	1.67463i	0.221810	+	0.221810i
$58$	7.39490	+	11.1653i	0.970998	+	1.46607i
$59$	2.53460	−	6.11906i	0.329976	−	0.796634i	−0.668617	−	0.743607i	$-0.733113\pi$
$59$	2.53460	−	6.11906i	0.329976	−	0.796634i	0.998593	−	0.0530263i	$-0.0168867\pi$
$60$	−0.950597	−	2.34880i	−0.122722	−	0.303228i
$61$	−10.1139	+	4.18932i	−1.29495	+	0.536387i	−0.920458	−	0.390841i	$-0.872184\pi$
$61$	−10.1139	+	4.18932i	−1.29495	+	0.536387i	−0.374496	+	0.927229i	$0.622184\pi$
$62$	0.696812	+	3.57912i	0.0884952	+	0.454548i
$63$	2.85599			0.359821
$64$	−3.24088	+	7.31414i	−0.405110	+	0.914268i
$65$	16.0116			1.98600
$66$	0.368426	+	1.89239i	0.0453501	+	0.232937i
$67$	13.2305	−	5.48024i	1.61636	−	0.669518i	0.622752	−	0.782419i	$-0.286015\pi$
$67$	13.2305	−	5.48024i	1.61636	−	0.669518i	0.993606	+	0.112902i	$0.0360145\pi$
$68$	−3.64600	−	9.00878i	−0.442143	−	1.09248i
$69$	−0.298046	+	0.719546i	−0.0358805	+	0.0866232i
$70$	2.60709	+	3.93635i	0.311607	+	0.470484i
$71$	11.0523	+	11.0523i	1.31167	+	1.31167i	0.920185	+	0.391484i	$0.128038\pi$
$71$	11.0523	+	11.0523i	1.31167	+	1.31167i	0.391484	+	0.920185i	$0.371962\pi$
$72$	7.90293	+	1.67247i	0.931369	+	0.197103i
$73$	−9.21666	+	9.21666i	−1.07873	+	1.07873i	−0.0821045	+	0.996624i	$0.526164\pi$
$73$	−9.21666	+	9.21666i	−1.07873	+	1.07873i	−0.996624	+	0.0821045i	$0.973836\pi$
$74$	6.08379	+	1.23588i	0.707226	+	0.143668i
$75$	−2.15475	−	0.892525i	−0.248809	−	0.103060i
$76$	−8.75370	−	8.89727i	−1.00412	−	1.02059i
$77$	−1.37473	−	3.31889i	−0.156665	−	0.378223i
$78$	1.43867	−	2.13428i	0.162897	−	0.241659i
$79$		−	7.49433i		−	0.843178i	−0.906787	−	0.421589i	$-0.861472\pi$
$79$		−	7.49433i		−	0.843178i	0.906787	−	0.421589i	$-0.138528\pi$
$80$	4.90906	+	12.4191i	0.548849	+	1.38850i
$81$		−	7.72465i		−	0.858294i
$82$	0.246071	+	0.165871i	0.0271740	+	0.0183174i
$83$	−4.15225	−	10.0244i	−0.455769	−	1.10032i	−0.970094	−	0.242728i	$-0.921958\pi$
$83$	−4.15225	−	10.0244i	−0.455769	−	1.10032i	0.514325	−	0.857595i	$-0.328042\pi$
$84$	0.758949	+	0.00617306i	0.0828081	+	0.000673536i
$85$	−14.9881	−	6.20828i	−1.62569	−	0.673382i
$86$	−1.05246	+	5.18085i	−0.113489	+	0.558665i
$87$	2.54106	−	2.54106i	0.272430	−	0.272430i
$88$	−1.86052	−	9.98888i	−0.198332	−	1.06482i
$89$	−1.68016	−	1.68016i	−0.178096	−	0.178096i	0.612429	−	0.790525i	$-0.290192\pi$
$89$	−1.68016	−	1.68016i	−0.178096	−	0.178096i	−0.790525	+	0.612429i	$0.790192\pi$
$90$	11.2422	−	7.44583i	1.18503	−	0.784859i
$91$	−1.83535	+	4.43092i	−0.192396	+	0.464486i
$92$	1.60158	−	3.77931i	0.166976	−	0.394020i
$93$	0.903965	−	0.374434i	0.0937368	−	0.0388270i
$94$	−1.66075	+	0.323328i	−0.171293	+	0.0333487i
$95$	−20.8351			−2.13763
$96$	2.09650	+	0.461523i	0.213973	+	0.0471040i
$97$	−7.83305			−0.795326			−0.397663	−	0.917532i	$-0.630179\pi$
$97$	−7.83305			−0.795326			−0.397663	+	0.917532i	$0.630179\pi$
$98$	−1.38815	+	0.270256i	−0.140224	+	0.0273000i
$99$	−9.47871	+	3.92621i	−0.952647	+	0.394599i
$100$	11.3175	+	4.79606i	1.13175	+	0.479606i
$101$	−2.50486	+	6.04727i	−0.249243	+	0.601725i	−0.998140	−	0.0609606i	$-0.980584\pi$
$101$	−2.50486	+	6.04727i	−0.249243	+	0.601725i	0.748897	+	0.662686i	$0.230584\pi$
$102$	−2.17424	+	1.44003i	−0.215282	+	0.142584i
$103$	−0.882986	−	0.882986i	−0.0870032	−	0.0870032i	0.662266	−	0.749269i	$-0.269595\pi$
$103$	−0.882986	−	0.882986i	−0.0870032	−	0.0870032i	−0.749269	+	0.662266i	$0.769595\pi$
$104$	−7.67341	+	11.1862i	−0.752440	+	1.09690i
$105$	0.895857	−	0.895857i	0.0874267	−	0.0874267i
$106$	0.829077	−	4.08124i	0.0805271	−	0.396405i
$107$	−5.40786	−	2.24001i	−0.522797	−	0.216550i	0.105648	−	0.994404i	$-0.466308\pi$
$107$	−5.40786	−	2.24001i	−0.522797	−	0.216550i	−0.628445	+	0.777854i	$0.716308\pi$
$108$	0.0361494	−	4.44439i	0.00347848	−	0.427662i
$109$	0.00650099	+	0.0156948i	0.000622682	+	0.00150329i	0.924191	−	0.381932i	$-0.124741\pi$
$109$	0.00650099	+	0.0156948i	0.000622682	+	0.00150329i	−0.923568	+	0.383435i	$0.874741\pi$
$110$	−14.0641	−	9.48026i	−1.34096	−	0.903907i
$111$		−	1.66585i		−	0.158116i
$112$	−3.99947	−	0.0650653i	−0.377914	−	0.00614809i
$113$		−	0.705606i		−	0.0663778i	−0.999449	−	0.0331889i	$-0.989434\pi$
$113$		−	0.705606i		−	0.0663778i	0.999449	−	0.0331889i	$-0.0105663\pi$
$114$	−1.87206	+	2.77722i	−0.175335	+	0.260111i
$115$	−2.62207	−	6.33023i	−0.244509	−	0.590297i
$116$	−13.5006	+	13.2827i	−1.25350	+	1.23327i
$117$	12.6547	+	5.24173i	1.16992	+	0.484598i
$118$	9.17916	+	1.86469i	0.845011	+	0.171658i
$119$	3.43605	−	3.43605i	0.314982	−	0.314982i
$120$	3.00358	−	1.95435i	0.274188	−	0.178407i
$121$	1.34697	+	1.34697i	0.122452	+	0.122452i
$122$	−8.54875	−	12.9074i	−0.773968	−	1.16858i
$123$	0.0304734	−	0.0735693i	0.00274770	−	0.00663352i
$124$	−4.78004	+	1.93456i	−0.429260	+	0.173729i
$125$	3.53437	−	1.46398i	0.316124	−	0.130943i
$126$	0.771849	+	3.96454i	0.0687618	+	0.353190i
$127$	−14.3339			−1.27192			−0.635962	−	0.771720i	$-0.719397\pi$
$127$	−14.3339			−1.27192			−0.635962	+	0.771720i	$0.719397\pi$
$128$	−11.0290	−	2.52214i	−0.974835	−	0.222928i
$129$	1.41861			0.124902
$130$	4.32724	+	22.2265i	0.379524	+	1.94940i
$131$	14.4064	−	5.96731i	1.25869	−	0.521366i	0.349183	−	0.937055i	$-0.386459\pi$
$131$	14.4064	−	5.96731i	1.25869	−	0.521366i	0.909507	+	0.415688i	$0.136459\pi$
$132$	−2.52735	+	1.02286i	−0.219978	+	0.0890286i
$133$	2.38824	−	5.76571i	0.207086	−	0.499951i
$134$	11.1830	+	16.8848i	0.966065	+	1.45862i
$135$	−5.24613	−	5.24613i	−0.451515	−	0.451515i
$136$	11.5202	−	7.49588i	0.987848	−	0.642766i
$137$	8.41935	−	8.41935i	0.719314	−	0.719314i	−0.249151	−	0.968465i	$-0.580151\pi$
$137$	8.41935	−	8.41935i	0.719314	−	0.719314i	0.968465	+	0.249151i	$0.0801515\pi$
$138$	−1.07939	−	0.219270i	−0.0918835	−	0.0186655i
$139$	1.69340	+	0.701431i	0.143633	+	0.0594946i	0.453342	−	0.891337i	$-0.350232\pi$
$139$	1.69340	+	0.701431i	0.143633	+	0.0594946i	−0.309709	+	0.950831i	$0.600232\pi$
$140$	−4.75966	+	4.68286i	−0.402265	+	0.395774i
$141$	0.173741	+	0.419449i	0.0146317	+	0.0353240i
$142$	−12.3553	+	18.3292i	−1.03684	+	1.53816i
$143$		−	17.2288i		−	1.44075i
$144$	−0.185826	+	11.4224i	−0.0154855	+	0.951871i
$145$			31.6148i			2.62547i
$146$	−15.2850	−	10.3032i	−1.26499	−	0.852703i
$147$	0.145223	+	0.350600i	0.0119778	+	0.0289170i
$148$	−0.0714075	+	8.77922i	−0.00586966	+	0.721647i
$149$	−7.63466	−	3.16238i	−0.625456	−	0.259072i	0.0473650	−	0.998878i	$-0.484918\pi$
$149$	−7.63466	−	3.16238i	−0.625456	−	0.259072i	−0.672821	+	0.739805i	$0.734918\pi$
$150$	0.656625	−	3.23232i	0.0536132	−	0.263918i
$151$	−7.44679	+	7.44679i	−0.606011	+	0.606011i	−0.941901	−	0.335890i	$-0.890963\pi$
$151$	−7.44679	+	7.44679i	−0.606011	+	0.606011i	0.335890	+	0.941901i	$0.390963\pi$
$152$	9.98500	−	14.5560i	0.809890	−	1.18065i
$153$	−9.81332	−	9.81332i	−0.793360	−	0.793360i
$154$	4.23559	−	2.80528i	0.341313	−	0.226056i
$155$	−3.29410	+	7.95265i	−0.264588	+	0.638773i
$156$	3.35151	+	1.42029i	0.268335	+	0.113714i
$157$	14.9408	−	6.18869i	1.19241	−	0.493911i	0.303869	−	0.952714i	$-0.401721\pi$
$157$	14.9408	−	6.18869i	1.19241	−	0.493911i	0.888538	+	0.458802i	$0.151721\pi$
$158$	10.4033	−	2.02539i	0.827639	−	0.161131i
$159$	−1.11752			−0.0886250
$160$	−15.9129	+	10.1709i	−1.25803	+	0.804078i
$161$	2.05233			0.161746
$162$	10.7230	−	2.08763i	0.842476	−	0.164020i
$163$	17.9030	−	7.41566i	1.40227	−	0.580840i	0.451931	−	0.892053i	$-0.350735\pi$
$163$	17.9030	−	7.41566i	1.40227	−	0.580840i	0.950340	+	0.311213i	$0.100735\pi$
$164$	−0.163752	+	0.386412i	−0.0127868	+	0.0301737i
$165$	−1.74169	+	4.20481i	−0.135590	+	0.327344i
$166$	12.7932	−	8.47311i	0.992948	−	0.657641i
$167$	9.62387	+	9.62387i	0.744717	+	0.744717i	0.973482	−	0.228764i	$-0.0734686\pi$
$167$	9.62387	+	9.62387i	0.744717	+	0.744717i	−0.228764	+	0.973482i	$0.573469\pi$
$168$	0.196542	+	1.05520i	0.0151635	+	0.0814107i
$169$	−7.07213	+	7.07213i	−0.544010	+	0.544010i
$170$	4.56739	−	22.4836i	0.350303	−	1.72441i
$171$	−16.4668	−	6.82078i	−1.25925	−	0.521598i
$172$	−7.47623	−	0.0608094i	−0.570057	−	0.00463668i
$173$	−1.20652	−	2.91280i	−0.0917302	−	0.221456i	0.871355	−	0.490653i	$-0.163242\pi$
$173$	−1.20652	−	2.91280i	−0.0917302	−	0.221456i	−0.963085	+	0.269197i	$0.913242\pi$
$174$	4.21411	+	2.84064i	0.319471	+	0.215348i
$175$			6.14588i			0.464585i
$176$	13.3632	−	5.28224i	1.00729	−	0.398164i
$177$		−	2.51342i		−	0.188921i
$178$	1.87824	−	2.78638i	0.140780	−	0.208848i
$179$	1.51961	+	3.66867i	0.113581	+	0.274209i	0.970440	−	0.241342i	$-0.0775874\pi$
$179$	1.51961	+	3.66867i	0.113581	+	0.274209i	−0.856859	+	0.515551i	$0.827587\pi$
$180$	13.3742	+	13.5935i	0.996854	+	1.01320i
$181$	18.3942	+	7.61914i	1.36723	+	0.566326i	0.941037	−	0.338305i	$-0.109853\pi$
$181$	18.3942	+	7.61914i	1.36723	+	0.566326i	0.426196	+	0.904631i	$0.359853\pi$
$182$	−6.64679	−	1.35025i	−0.492693	−	0.100087i
$183$	−2.93755	+	2.93755i	−0.217150	+	0.217150i
$184$	5.67908	+	1.20185i	0.418667	+	0.0886012i
$185$	10.3629	+	10.3629i	0.761897	+	0.761897i
$186$	0.764074	+	1.15365i	0.0560246	+	0.0845894i
$187$	−6.68023	+	16.1275i	−0.488507	+	1.17936i
$188$	−0.897655	−	2.21799i	−0.0654682	−	0.161763i
$189$	2.05311	−	0.850426i	0.149342	−	0.0618594i
$190$	−5.63081	−	28.9222i	−0.408502	−	2.09824i
$191$	3.83662			0.277608			0.138804	−	0.990320i	$-0.455674\pi$
$191$	3.83662			0.277608			0.138804	+	0.990320i	$0.455674\pi$
$192$	−0.0740702	+	3.03499i	−0.00534556	+	0.219032i
$193$	−3.14614			−0.226464			−0.113232	−	0.993569i	$-0.536120\pi$
$193$	−3.14614			−0.226464			−0.113232	+	0.993569i	$0.536120\pi$
$194$	−2.11693	−	10.8735i	−0.151987	−	0.780668i
$195$	5.61368	−	2.32526i	0.402004	−	0.166515i
$196$	−0.750313	−	1.85392i	−0.0535938	−	0.132423i
$197$	−0.520143	+	1.25574i	−0.0370587	+	0.0894676i	−0.941325	−	0.337501i	$-0.890418\pi$
$197$	−0.520143	+	1.25574i	−0.0370587	+	0.0894676i	0.904267	+	0.426968i	$0.140418\pi$
$198$	−8.01186	−	12.0968i	−0.569378	−	0.859682i
$199$	−4.08216	−	4.08216i	−0.289377	−	0.289377i	0.547457	−	0.836834i	$-0.315596\pi$
$199$	−4.08216	−	4.08216i	−0.289377	−	0.289377i	−0.836834	+	0.547457i	$0.815596\pi$
$200$	−3.59904	+	17.0065i	−0.254490	+	1.20254i
$201$	3.84274	−	3.84274i	0.271046	−	0.271046i
$202$	−9.07147	−	1.84281i	−0.638266	−	0.129660i
$203$	−8.74881	−	3.62387i	−0.614046	−	0.254346i
$204$	−2.58657	−	2.62900i	−0.181096	−	0.184066i
$205$	0.268091	+	0.647228i	0.0187243	+	0.0452044i
$206$	0.987085	−	1.46435i	0.0687735	−	0.102026i
$207$		−	5.86143i		−	0.407397i
$208$	−17.6019	−	7.62871i	−1.22047	−	0.528956i
$209$			22.4189i			1.55075i
$210$	1.48570	+	1.00147i	0.102523	+	0.0691082i
$211$	9.47588	+	22.8768i	0.652346	+	1.57490i	0.809364	+	0.587307i	$0.199812\pi$
$211$	9.47588	+	22.8768i	0.652346	+	1.57490i	−0.157018	+	0.987596i	$0.550188\pi$
$212$	5.88944	+	0.0479029i	0.404488	+	0.00328999i
$213$	5.48000	+	2.26989i	0.375483	+	0.155530i
$214$	1.64796	−	8.11230i	0.112652	−	0.554545i
$215$	−8.82489	+	8.82489i	−0.601852	+	0.601852i
$216$	6.17926	−	1.15095i	0.420445	−	0.0783119i
$217$	−1.82316	−	1.82316i	−0.123764	−	0.123764i
$218$	−0.0200298	+	0.0132660i	−0.00135659	+	0.000898484i
$219$	−1.89289	+	4.56983i	−0.127909	+	0.308801i
$220$	9.35913	−	22.0851i	0.630992	−	1.48898i
$221$	21.5312	−	8.91851i	1.44834	−	0.599924i
$222$	2.31246	−	0.450208i	0.155202	−	0.0302160i
$223$	1.85638			0.124312			0.0621562	−	0.998066i	$-0.480202\pi$
$223$	1.85638			0.124312			0.0621562	+	0.998066i	$0.480202\pi$
$224$	−0.990562	−	5.56945i	−0.0661847	−	0.372125i
$225$	17.5526			1.17017
$226$	0.979487	−	0.190694i	0.0651545	−	0.0126848i
$227$	8.53271	−	3.53437i	0.566336	−	0.234584i	−0.0810972	−	0.996706i	$-0.525842\pi$
$227$	8.53271	−	3.53437i	0.566336	−	0.234584i	0.647433	+	0.762122i	$0.275842\pi$
$228$	−4.36114	−	1.84814i	−0.288823	−	0.122396i
$229$	−0.934615	+	2.25636i	−0.0617611	+	0.149105i	−0.951747	−	0.306883i	$-0.900714\pi$
$229$	−0.934615	+	2.25636i	−0.0617611	+	0.149105i	0.889986	+	0.455988i	$0.150714\pi$
$230$	8.07868	−	5.35060i	0.532692	−	0.352808i
$231$	−0.963960	−	0.963960i	−0.0634239	−	0.0634239i
$232$	−22.0870	−	15.1511i	−1.45009	−	0.994718i
$233$	−3.01334	+	3.01334i	−0.197411	+	0.197411i	−0.798889	−	0.601478i	$-0.794579\pi$
$233$	−3.01334	+	3.01334i	−0.197411	+	0.197411i	0.601478	+	0.798889i	$0.294579\pi$
$234$	−3.85631	+	18.9832i	−0.252095	+	1.24097i
$235$	−3.69011	−	1.52849i	−0.240716	−	0.0997080i
$236$	−0.107739	+	13.2460i	−0.00701321	+	0.862241i
$237$	−1.08835	−	2.62751i	−0.0706960	−	0.170675i
$238$	5.69837	+	3.84114i	0.369370	+	0.248984i
$239$		−	25.3536i		−	1.63999i	−0.572373	−	0.819993i	$-0.693977\pi$
$239$		−	25.3536i		−	1.63999i	0.572373	−	0.819993i	$-0.306023\pi$
$240$	3.52467	+	3.64124i	0.227516	+	0.235041i
$241$		−	14.3122i		−	0.921933i	−0.887418	−	0.460966i	$-0.847503\pi$
$241$		−	14.3122i		−	0.921933i	0.887418	−	0.460966i	$-0.152497\pi$
$242$	−1.50577	+	2.23383i	−0.0967947	+	0.143596i
$243$	−3.67308	−	8.86759i	−0.235628	−	0.568856i
$244$	15.6071	−	15.3553i	0.999143	−	0.983021i
$245$	−3.08441	−	1.27761i	−0.197056	−	0.0816232i
$246$	0.110361	+	0.0224191i	0.00703636	+	0.00142939i
$247$	21.1642	−	21.1642i	1.34664	−	1.34664i
$248$	−3.97729	−	6.11258i	−0.252558	−	0.388149i
$249$	−2.91156	−	2.91156i	−0.184513	−	0.184513i
$250$	2.98742	+	4.51059i	0.188941	+	0.285275i
$251$	−0.0675604	+	0.163105i	−0.00426438	+	0.0102951i	−0.925997	−	0.377530i	$-0.876774\pi$
$251$	−0.0675604	+	0.163105i	−0.00426438	+	0.0102951i	0.921733	+	0.387825i	$0.126774\pi$
$252$	−5.29479	+	2.14289i	−0.333540	+	0.134989i
$253$	−6.81145	+	2.82139i	−0.428232	+	0.177380i
$254$	−3.87382	−	19.8976i	−0.243065	−	1.24848i
$255$	−6.15642			−0.385530
$256$	0.520454	−	15.9915i	0.0325283	−	0.999471i
$257$	5.30442			0.330881			0.165440	−	0.986220i	$-0.447095\pi$
$257$	5.30442			0.330881			0.165440	+	0.986220i	$0.447095\pi$
$258$	0.383389	+	1.96925i	0.0238688	+	0.122600i
$259$	−4.05560	+	1.67989i	−0.252003	+	0.104383i
$260$	−29.6843	+	12.0137i	−1.84094	+	0.745060i
$261$	−10.3497	+	24.9865i	−0.640633	+	1.54663i
$262$	12.1769	+	18.3855i	0.752294	+	1.13586i
$263$	13.2076	+	13.2076i	0.814414	+	0.814414i	0.985292	−	0.170878i	$-0.0546604\pi$
$263$	13.2076	+	13.2076i	0.814414	+	0.814414i	−0.170878	+	0.985292i	$0.554660\pi$
$264$	−2.10292	−	3.23191i	−0.129426	−	0.198910i
$265$	6.95185	−	6.95185i	0.427049	−	0.427049i
$266$	8.64911	+	1.75701i	0.530311	+	0.107729i
$267$	−0.833061	−	0.345065i	−0.0509825	−	0.0211176i
$268$	−20.4164	+	20.0869i	−1.24713	+	1.22700i
$269$	11.7753	+	28.4281i	0.717953	+	1.73329i	0.679098	+	0.734048i	$0.262371\pi$
$269$	11.7753	+	28.4281i	0.717953	+	1.73329i	0.0388559	+	0.999245i	$0.487629\pi$
$270$	5.86462	−	8.70022i	0.356909	−	0.529479i
$271$		−	15.4185i		−	0.936604i	−0.883568	−	0.468302i	$-0.844866\pi$
$271$		−	15.4185i		−	0.936604i	0.883568	−	0.468302i	$-0.155134\pi$
$272$	13.5188	+	13.9659i	0.819698	+	0.846810i
$273$			1.82001i			0.110152i
$274$	13.9627	+	9.41194i	0.843518	+	0.568596i
$275$	−8.44892	−	20.3975i	−0.509489	−	1.23002i
$276$	0.0126691	−	1.55761i	0.000762593	−	0.0937572i
$277$	−4.37985	−	1.81420i	−0.263160	−	0.109004i	0.247202	−	0.968964i	$-0.420489\pi$
$277$	−4.37985	−	1.81420i	−0.263160	−	0.109004i	−0.510362	+	0.859959i	$0.670489\pi$
$278$	−0.516038	+	2.54026i	−0.0309499	+	0.152355i
$279$	−5.20692	+	5.20692i	−0.311730	+	0.311730i
$280$	−7.78684	−	5.34155i	−0.465353	−	0.319219i
$281$	9.51439	+	9.51439i	0.567581	+	0.567581i	0.931450	−	0.363869i	$-0.118544\pi$
$281$	9.51439	+	9.51439i	0.567581	+	0.567581i	−0.363869	+	0.931450i	$0.618544\pi$
$282$	−0.535303	+	0.354538i	−0.0318769	+	0.0211124i
$283$	7.39540	−	17.8541i	0.439611	−	1.06131i	−0.536472	−	0.843918i	$-0.680243\pi$
$283$	7.39540	−	17.8541i	0.439611	−	1.06131i	0.976083	−	0.217397i	$-0.0697566\pi$
$284$	−28.7828	−	12.1975i	−1.70795	−	0.723786i
$285$	−7.30478	+	3.02574i	−0.432698	+	0.179229i
$286$	23.9162	−	4.65620i	1.41419	−	0.275327i
$287$	−0.209838			−0.0123864
$288$	−15.9063	+	2.82903i	−0.937287	+	0.166702i
$289$	−6.61287			−0.388992
$290$	−43.8861	+	8.54411i	−2.57708	+	0.501727i
$291$	−2.74627	+	1.13754i	−0.160989	+	0.0666839i
$292$	10.1716	−	24.0024i	0.595248	−	1.40463i
$293$	−1.47640	+	3.56435i	−0.0862522	+	0.208231i	−0.961120	−	0.276130i	$-0.910948\pi$
$293$	−1.47640	+	3.56435i	−0.0862522	+	0.208231i	0.874868	+	0.484361i	$0.160948\pi$
$294$	−0.447438	+	0.296344i	−0.0260951	+	0.0172831i
$295$	15.6355	+	15.6355i	0.910333	+	0.910333i
$296$	−12.2062	+	2.27352i	−0.709469	+	0.132145i
$297$	−5.64494	+	5.64494i	−0.327553	+	0.327553i
$298$	2.32654	−	11.4527i	0.134773	−	0.663438i
$299$	9.09369	+	3.76673i	0.525902	+	0.217836i
$300$	4.66441	+	0.0379389i	0.269300	+	0.00219040i
$301$	−1.43056	−	3.45368i	−0.0824562	−	0.199067i
$302$	−12.3498	−	8.32472i	−0.710651	−	0.479034i
$303$			2.48394i			0.142698i
$304$	22.9044	+	9.92683i	1.31366	+	0.569343i
$305$		−	36.5478i		−	2.09272i
$306$	10.9703	−	16.2745i	0.627128	−	0.930350i
$307$	1.30538	+	3.15147i	0.0745020	+	0.179864i	0.956743	−	0.290934i	$-0.0939661\pi$
$307$	1.30538	+	3.15147i	0.0745020	+	0.179864i	−0.882241	+	0.470798i	$0.843966\pi$
$308$	5.03885	+	5.12149i	0.287115	+	0.291824i
$309$	−0.437805	−	0.181345i	−0.0249059	−	0.0103163i
$310$	−11.9297	−	2.42345i	−0.677563	−	0.137643i
$311$	−2.28199	+	2.28199i	−0.129400	+	0.129400i	−0.768840	−	0.639441i	$-0.779166\pi$
$311$	−2.28199	+	2.28199i	−0.129400	+	0.129400i	0.639441	+	0.768840i	$0.279166\pi$
$312$	−1.06580	+	5.03624i	−0.0603392	+	0.285121i
$313$	−5.64887	−	5.64887i	−0.319293	−	0.319293i	0.529203	−	0.848496i	$-0.322491\pi$
$313$	−5.64887	−	5.64887i	−0.319293	−	0.319293i	−0.848496	+	0.529203i	$0.822491\pi$
$314$	12.6287	+	19.0676i	0.712678	+	1.07605i
$315$	−3.64883	+	8.80905i	−0.205588	+	0.496334i
$316$	5.62309	+	13.8939i	0.316324	+	0.781594i
$317$	−14.2281	+	5.89348i	−0.799131	+	0.331011i	−0.744608	−	0.667502i	$-0.767364\pi$
$317$	−14.2281	+	5.89348i	−0.799131	+	0.331011i	−0.0545226	+	0.998513i	$0.517364\pi$
$318$	−0.302017	−	1.55128i	−0.0169362	−	0.0869917i
$319$	34.0182			1.90465
$320$	−18.4193	−	19.3408i	−1.02967	−	1.08118i
$321$	−2.22130			−0.123981
$322$	0.554655	+	2.84894i	0.0309097	+	0.158765i
$323$	−28.0174	+	11.6052i	−1.55893	+	0.645729i
$324$	5.79590	+	14.3209i	0.321995	+	0.795606i
$325$	−11.2798	+	27.2319i	−0.625692	+	1.51055i
$326$	15.1325	+	22.8479i	0.838109	+	1.26543i
$327$	0.00455849	+	0.00455849i	0.000252085	+	0.000252085i
$328$	−0.580652	−	0.122882i	−0.0320612	−	0.00678500i
$329$	0.845964	−	0.845964i	0.0466395	−	0.0466395i
$330$	−6.30762	−	1.28135i	−0.347223	−	0.0705361i
$331$	−23.7860	−	9.85247i	−1.30739	−	0.541541i	−0.383272	−	0.923636i	$-0.625203\pi$
$331$	−23.7860	−	9.85247i	−1.30739	−	0.541541i	−0.924123	+	0.382095i	$0.875203\pi$
$332$	15.2194	+	15.4690i	0.835274	+	0.848973i
$333$	4.79774	+	11.5828i	0.262914	+	0.634732i
$334$	−10.7585	+	15.9603i	−0.588677	+	0.873308i
$335$			47.8098i			2.61213i
$336$	−1.41166	+	0.558004i	−0.0770126	+	0.0304416i
$337$		−	21.3799i		−	1.16464i	−0.812960	−	0.582319i	$-0.802145\pi$
$337$		−	21.3799i		−	1.16464i	0.812960	−	0.582319i	$-0.197855\pi$
$338$	−11.7285	−	7.90590i	−0.637945	−	0.430024i
$339$	−0.102470	−	0.247385i	−0.00556543	−	0.0134361i
$340$	32.4450	+	0.263898i	1.75957	+	0.0143119i
$341$	8.55721	+	3.54451i	0.463399	+	0.191946i
$342$	5.01801	−	24.7018i	0.271343	−	1.33572i
$343$	0.707107	−	0.707107i	0.0381802	−	0.0381802i
$344$	−1.93609	−	10.3946i	−0.104387	−	0.560437i
$345$	−1.83859	−	1.83859i	−0.0989865	−	0.0989865i
$346$	3.71734	−	2.46204i	0.199845	−	0.132360i
$347$	−6.06936	+	14.6527i	−0.325820	+	0.786599i	0.673074	+	0.739575i	$0.264974\pi$
$347$	−6.06936	+	14.6527i	−0.325820	+	0.786599i	−0.998894	+	0.0470238i	$0.985026\pi$
$348$	−2.80434	+	6.61752i	−0.150328	+	0.354737i
$349$	0.128053	−	0.0530412i	0.00685450	−	0.00283923i	−0.379254	−	0.925293i	$-0.623819\pi$
$349$	0.128053	−	0.0530412i	0.00685450	−	0.00283923i	0.386108	+	0.922454i	$0.373819\pi$
$350$	−8.53141	+	1.66096i	−0.456023	+	0.0887822i
$351$	10.6580			0.568881
$352$	10.9441	+	17.1226i	0.583320	+	0.912640i
$353$	15.8095			0.841455			0.420727	−	0.907187i	$-0.361775\pi$
$353$	15.8095			0.841455			0.420727	+	0.907187i	$0.361775\pi$
$354$	3.48901	−	0.679269i	0.185439	−	0.0361027i
$355$	−48.2104	+	19.9694i	−2.55874	+	1.05987i
$356$	4.37552	+	1.85424i	0.231902	+	0.0982744i
$357$	0.705685	−	1.70367i	0.0373488	−	0.0901680i
$358$	−4.68198	+	3.10093i	−0.247450	+	0.163889i
$359$	−12.2698	−	12.2698i	−0.647577	−	0.647577i	0.304830	−	0.952407i	$-0.401400\pi$
$359$	−12.2698	−	12.2698i	−0.647577	−	0.647577i	−0.952407	+	0.304830i	$0.901400\pi$
$360$	−15.2554	+	22.2391i	−0.804031	+	1.17211i
$361$	−14.1048	+	14.1048i	−0.742356	+	0.742356i
$362$	−5.60535	+	27.5931i	−0.294611	+	1.45026i
$363$	0.667861	+	0.276637i	0.0350536	+	0.0145197i
$364$	0.0780157	−	9.59166i	0.00408913	−	0.502740i
$365$	−16.6527	−	40.2032i	−0.871643	−	2.10433i
$366$	−4.87166	−	3.28387i	−0.254646	−	0.171651i
$367$			5.73010i			0.299109i	0.988753	+	0.149554i	$0.0477839\pi$
$367$			5.73010i			0.299109i	−0.988753	+	0.149554i	$0.952216\pi$
$368$	−0.133535	+	8.20822i	−0.00696101	+	0.427883i
$369$			0.599296i			0.0311981i
$370$	−11.5847	+	17.1859i	−0.602257	+	0.893455i
$371$	1.12693	+	2.72066i	0.0585074	+	0.141249i
$372$	−1.39494	+	1.37243i	−0.0723242	+	0.0711571i
$373$	−11.0267	−	4.56741i	−0.570941	−	0.236492i	0.0784861	−	0.996915i	$-0.474991\pi$
$373$	−11.0267	−	4.56741i	−0.570941	−	0.236492i	−0.649427	+	0.760424i	$0.724991\pi$
$374$	−24.1928	−	4.91460i	−1.25098	−	0.254128i
$375$	1.02655	−	1.02655i	0.0530106	−	0.0530106i
$376$	2.83630	−	1.84550i	0.146271	−	0.0951746i
$377$	−32.1142	−	32.1142i	−1.65396	−	1.65396i
$378$	1.73539	+	2.62019i	0.0892586	+	0.134768i
$379$	12.1527	−	29.3393i	0.624243	−	1.50706i	−0.222433	−	0.974948i	$-0.571400\pi$
$379$	12.1527	−	29.3393i	0.624243	−	1.50706i	0.846676	−	0.532108i	$-0.178600\pi$
$380$	38.6266	−	15.6328i	1.98150	−	0.801947i
$381$	−5.02545	+	2.08161i	−0.257462	+	0.106644i
$382$	1.03687	+	5.32581i	0.0530510	+	0.272492i
$383$	−13.1939			−0.674175			−0.337088	−	0.941473i	$-0.609442\pi$
$383$	−13.1939			−0.674175			−0.337088	+	0.941473i	$0.609442\pi$
$384$	−4.23304	+	0.717405i	−0.216016	+	0.0366099i
$385$	11.9932			0.611229
$386$	−0.850265	−	4.36732i	−0.0432773	−	0.222291i
$387$	−9.86368	+	4.08567i	−0.501399	+	0.207686i
$388$	14.5219	−	5.87724i	0.737236	−	0.298372i
$389$	3.38058	−	8.16145i	0.171402	−	0.413802i	−0.814713	−	0.579865i	$-0.803105\pi$
$389$	3.38058	−	8.16145i	0.171402	−	0.413802i	0.986115	+	0.166063i	$0.0531054\pi$
$390$	4.74494	+	7.16421i	0.240270	+	0.362774i
$391$	−7.05190	−	7.05190i	−0.356630	−	0.356630i
$392$	2.37075	−	1.54258i	0.119741	−	0.0779121i
$393$	4.18428	−	4.18428i	0.211069	−	0.211069i
$394$	−1.88372	−	0.382666i	−0.0949007	−	0.0192784i
$395$	23.1156	+	9.57480i	1.16307	+	0.481761i
$396$	14.6269	−	14.3909i	0.735030	−	0.723170i
$397$	−10.4920	−	25.3299i	−0.526578	−	1.27127i	−0.933752	−	0.357921i	$-0.883486\pi$
$397$	−10.4920	−	25.3299i	−0.526578	−	1.27127i	0.407174	−	0.913351i	$-0.366514\pi$
$398$	4.56343	−	6.76989i	0.228744	−	0.339344i
$399$		−	2.36829i		−	0.118563i
$400$	−24.5803	−	0.399884i	−1.22901	−	0.0199942i
$401$			29.2026i			1.45831i	0.684350	+	0.729154i	$0.260086\pi$
$401$			29.2026i			1.45831i	−0.684350	+	0.729154i	$0.739914\pi$
$402$	6.37283	+	4.29578i	0.317848	+	0.214254i
$403$	−4.73214	−	11.4244i	−0.235725	−	0.569089i
$404$	0.106475	−	13.0906i	0.00529733	−	0.651281i
$405$	23.8260	+	9.86905i	1.18392	+	0.490397i
$406$	2.66606	−	13.1240i	0.132314	−	0.651335i
$407$	11.1507	−	11.1507i	0.552720	−	0.552720i
$408$	2.95040	−	4.30106i	0.146067	−	0.212934i
$409$	−15.6306	−	15.6306i	−0.772882	−	0.772882i	0.205728	−	0.978609i	$-0.434044\pi$
$409$	−15.6306	−	15.6306i	−0.772882	−	0.772882i	−0.978609	+	0.205728i	$0.934044\pi$
$410$	−0.825997	+	0.547068i	−0.0407931	+	0.0270177i
$411$	1.72914	−	4.17451i	0.0852922	−	0.205914i
$412$	2.29950	+	0.974472i	0.113288	+	0.0480088i
$413$	−6.11906	+	2.53460i	−0.301099	+	0.124719i
$414$	8.13654	−	1.58409i	0.399889	−	0.0778537i
$415$	36.2244			1.77819
$416$	5.83277	−	26.4958i	0.285975	−	1.29906i
$417$	0.695572			0.0340623
$418$	−31.1209	+	6.05886i	−1.52217	+	0.296349i
$419$	33.1558	−	13.7336i	1.61977	−	0.670929i	0.625736	−	0.780035i	$-0.284799\pi$
$419$	33.1558	−	13.7336i	1.61977	−	0.670929i	0.994030	+	0.109106i	$0.0347987\pi$
$420$	−0.988677	+	2.33302i	−0.0482425	+	0.113840i
$421$	−0.881831	+	2.12893i	−0.0429778	+	0.103758i	−0.943911	−	0.330201i	$-0.892884\pi$
$421$	−0.881831	+	2.12893i	−0.0429778	+	0.103758i	0.900933	+	0.433958i	$0.142884\pi$
$422$	−29.1955	+	19.3365i	−1.42122	+	0.941288i
$423$	−2.41607	−	2.41607i	−0.117473	−	0.117473i
$424$	1.52516	+	8.18837i	0.0740684	+	0.397662i
$425$	21.1176	−	21.1176i	1.02435	−	1.02435i
$426$	−1.66994	+	8.22051i	−0.0809090	+	0.398285i
$427$	10.1139	+	4.18932i	0.489446	+	0.202735i
$428$	11.7065	+	0.0952169i	0.565853	+	0.00460248i
$429$	−2.50203	−	6.04043i	−0.120799	−	0.291635i
$430$	−14.6353	−	9.86529i	−0.705775	−	0.475747i
$431$			32.0330i			1.54298i	0.636244	+	0.771488i	$0.280487\pi$
$431$			32.0330i			1.54298i	−0.636244	+	0.771488i	$0.719513\pi$
$432$	3.26767	+	8.26669i	0.157216	+	0.397731i
$433$		−	40.2883i		−	1.93613i	−0.250699	−	0.968065i	$-0.580660\pi$
$433$		−	40.2883i		−	1.93613i	0.250699	−	0.968065i	$-0.419340\pi$
$434$	2.03810	−	3.02354i	0.0978319	−	0.145135i
$435$	4.59121	+	11.0842i	0.220132	+	0.531445i
$436$	−0.0238283	−	0.0242191i	−0.00114117	−	0.00115989i
$437$	−11.8331	−	4.90144i	−0.566056	−	0.234468i
$438$	−6.85518	−	1.39259i	−0.327553	−	0.0665403i
$439$	16.7258	−	16.7258i	0.798281	−	0.798281i	−0.184543	−	0.982824i	$-0.559081\pi$
$439$	16.7258	−	16.7258i	0.798281	−	0.798281i	0.982824	+	0.184543i	$0.0590806\pi$
$440$	33.1868	+	7.02323i	1.58212	+	0.334819i
$441$	−2.01949	−	2.01949i	−0.0961662	−	0.0961662i
$442$	18.1992	+	27.4782i	0.865646	+	1.30701i
$443$	−14.6409	+	35.3462i	−0.695609	+	1.67935i	0.0375526	+	0.999295i	$0.488044\pi$
$443$	−14.6409	+	35.3462i	−0.695609	+	1.67935i	−0.733162	+	0.680054i	$0.761956\pi$
$444$	1.24991	+	3.08836i	0.0593182	+	0.146567i
$445$	7.32887	−	3.03572i	0.347422	−	0.143907i
$446$	0.501699	+	2.57694i	0.0237561	+	0.122021i
$447$	−3.13597			−0.148326
$448$	7.46353	−	2.88023i	0.352619	−	0.136078i
$449$	−18.7758			−0.886083			−0.443042	−	0.896501i	$-0.646101\pi$
$449$	−18.7758			−0.886083			−0.443042	+	0.896501i	$0.646101\pi$
$450$	4.74369	+	24.3656i	0.223620	+	1.14861i
$451$	0.696430	−	0.288471i	0.0327936	−	0.0135836i
$452$	0.529425	+	1.30814i	0.0249021	+	0.0615297i
$453$	−1.52940	+	3.69229i	−0.0718574	+	0.173479i
$454$	7.21225	+	10.8895i	0.338488	+	0.511070i
$455$	−11.3219	−	11.3219i	−0.530780	−	0.530780i
$456$	1.38687	−	6.55339i	0.0649463	−	0.306890i
$457$	8.97790	−	8.97790i	0.419969	−	0.419969i	−0.465224	−	0.885193i	$-0.654026\pi$
$457$	8.97790	−	8.97790i	0.419969	−	0.419969i	0.885193	+	0.465224i	$0.154026\pi$
$458$	−3.38475	−	0.687591i	−0.158159	−	0.0321290i
$459$	−9.97670	−	4.13248i	−0.465672	−	0.192888i
$460$	9.61076	+	9.76838i	0.448104	+	0.455453i
$461$	7.02365	+	16.9566i	0.327124	+	0.789747i	0.998803	+	0.0489050i	$0.0155732\pi$
$461$	7.02365	+	16.9566i	0.327124	+	0.789747i	−0.671680	+	0.740842i	$0.734427\pi$
$462$	1.07761	−	1.59864i	0.0501347	−	0.0743754i
$463$		−	2.71270i		−	0.126070i	−0.998011	−	0.0630349i	$-0.979922\pi$
$463$		−	2.71270i		−	0.126070i	0.998011	−	0.0630349i	$-0.0200779\pi$
$464$	15.0628	−	34.7548i	0.699274	−	1.61345i
$465$			3.26658i			0.151484i
$466$	−4.99735	−	3.36860i	−0.231498	−	0.156047i
$467$	−1.69550	−	4.09329i	−0.0784583	−	0.189415i	0.879783	−	0.475375i	$-0.157688\pi$
$467$	−1.69550	−	4.09329i	−0.0784583	−	0.189415i	−0.958242	+	0.285960i	$0.907688\pi$
$468$	−27.3937	−	0.222812i	−1.26627	−	0.0102995i
$469$	−13.2305	−	5.48024i	−0.610926	−	0.253054i
$470$	1.12450	−	5.53552i	0.0518695	−	0.255334i
$471$	4.33951	−	4.33951i	0.199954	−	0.199954i
$472$	−18.4166	+	3.43026i	−0.847691	+	0.157890i
$473$	9.49576	+	9.49576i	0.436615	+	0.436615i
$474$	3.35325	−	2.22090i	0.154020	−	0.102009i
$475$	14.6778	−	35.4354i	0.673465	−	1.62589i
$476$	−3.79206	+	8.94828i	−0.173809	+	0.410144i
$477$	7.77016	−	3.21851i	0.355771	−	0.147365i
$478$	35.1946	−	6.85197i	1.60976	−	0.313402i
$479$	−21.6719			−0.990213			−0.495106	−	0.868832i	$-0.664871\pi$
$479$	−21.6719			−0.990213			−0.495106	+	0.868832i	$0.664871\pi$
$480$	−4.10203	+	5.87684i	−0.187231	+	0.268240i
$481$	−21.0532			−0.959944
$482$	19.8675	−	3.86797i	0.904942	−	0.176181i
$483$	0.719546	−	0.298046i	0.0327405	−	0.0135616i
$484$	−3.50783	−	1.48653i	−0.159447	−	0.0675697i
$485$	10.0076	−	24.1604i	0.454419	−	1.09707i
$486$	11.3169	−	7.49531i	0.513344	−	0.339994i
$487$	−15.9873	−	15.9873i	−0.724453	−	0.724453i	0.245056	−	0.969509i	$-0.421194\pi$
$487$	−15.9873	−	15.9873i	−0.724453	−	0.724453i	−0.969509	+	0.245056i	$0.921194\pi$
$488$	25.5334	+	17.5152i	1.15584	+	0.792874i
$489$	5.19987	−	5.19987i	0.235146	−	0.235146i
$490$	0.939927	−	4.62691i	0.0424616	−	0.209023i
$491$	−3.28436	−	1.36043i	−0.148221	−	0.0613953i	0.307340	−	0.951600i	$-0.400561\pi$
$491$	−3.28436	−	1.36043i	−0.148221	−	0.0613953i	−0.455561	+	0.890205i	$0.650561\pi$
$492$	−0.00129534	+	0.159256i	−5.83986e−5	+	0.00717984i
$493$	17.6095	+	42.5131i	0.793093	+	1.91470i
$494$	35.0988	+	23.6593i	1.57917	+	1.06448i
$495$		−	34.2524i		−	1.53953i
$496$	7.41029	−	7.17305i	0.332732	−	0.322079i
$497$		−	15.6303i		−	0.701117i
$498$	3.25482	−	4.82855i	0.145852	−	0.216373i
$499$	12.4433	+	30.0408i	0.557040	+	1.34481i	0.912099	+	0.409969i	$0.134461\pi$
$499$	12.4433	+	30.0408i	0.557040	+	1.34481i	−0.355060	+	0.934844i	$0.615539\pi$
$500$	−5.45401	+	5.36600i	−0.243911	+	0.239975i
$501$	4.77174	+	1.97652i	0.213186	+	0.0883044i
$502$	−0.244673	−	0.0497038i	−0.0109203	−	0.00221839i
$503$	−3.02047	+	3.02047i	−0.134676	+	0.134676i	−0.771231	−	0.636555i	$-0.780359\pi$
$503$	−3.02047	+	3.02047i	−0.134676	+	0.134676i	0.636555	+	0.771231i	$0.280359\pi$
$504$	−4.40560	−	6.77083i	−0.196241	−	0.301597i
$505$	−15.4520	−	15.4520i	−0.687607	−	0.687607i
$506$	−5.75736	−	8.69281i	−0.255946	−	0.386443i
$507$	−1.45245	+	3.50653i	−0.0645057	+	0.155730i
$508$	26.5739	−	10.7549i	1.17903	−	0.477171i
$509$	−9.72537	+	4.02838i	−0.431069	+	0.178555i	−0.587659	−	0.809109i	$-0.699950\pi$
$509$	−9.72537	+	4.02838i	−0.431069	+	0.178555i	0.156589	+	0.987664i	$0.449950\pi$
$510$	−1.66381	−	8.54604i	−0.0736748	−	0.378425i
$511$	13.0343			0.576604
$512$	22.3393	−	3.59935i	0.987267	−	0.159070i
$513$	−13.8687			−0.612317
$514$	1.43355	+	7.36333i	0.0632313	+	0.324783i
$515$	3.85160	−	1.59539i	0.169722	−	0.0703011i
$516$	−2.63000	+	1.06440i	−0.115779	+	0.0468577i
$517$	−1.64469	+	3.97063i	−0.0723334	+	0.174628i
$518$	−3.42799	−	5.17579i	−0.150617	−	0.227411i
$519$	−0.846013	−	0.846013i	−0.0371359	−	0.0371359i
$520$	−24.6992	−	37.9595i	−1.08313	−	1.66463i
$521$	−12.6508	+	12.6508i	−0.554242	+	0.554242i	−0.927662	−	0.373420i	$-0.878185\pi$
$521$	−12.6508	+	12.6508i	−0.554242	+	0.554242i	0.373420	+	0.927662i	$0.378185\pi$
$522$	−37.4821	−	7.61425i	−1.64055	−	0.333267i
$523$	2.82753	+	1.17120i	0.123639	+	0.0512131i	0.443645	−	0.896202i	$-0.353685\pi$
$523$	2.82753	+	1.17120i	0.123639	+	0.0512131i	−0.320006	+	0.947416i	$0.603685\pi$
$524$	−22.2309	+	21.8722i	−0.971163	+	0.955492i
$525$	0.892525	+	2.15475i	0.0389530	+	0.0940408i
$526$	−14.7647	+	21.9035i	−0.643770	+	0.955039i
$527$			12.5289i			0.545769i
$528$	3.91805	−	3.79261i	0.170511	−	0.165052i
$529$			18.7880i			0.816867i
$530$	11.5290	+	7.77143i	0.500788	+	0.337569i
$531$	7.23878	+	17.4760i	0.314136	+	0.758392i
$532$	−0.101518	+	12.4811i	−0.00440135	+	0.541125i
$533$	−0.929776	−	0.385126i	−0.0402731	−	0.0166817i
$534$	0.253862	−	1.24967i	0.0109857	−	0.0540785i
$535$	13.8182	−	13.8182i	0.597414	−	0.597414i
$536$	−33.4013	−	22.9124i	−1.44272	−	0.989664i
$537$	1.06555	+	1.06555i	0.0459820	+	0.0459820i
$538$	−36.2801	+	24.0288i	−1.56415	+	1.03595i
$539$	−1.37473	+	3.31889i	−0.0592138	+	0.142955i
$540$	13.6622	+	5.78968i	0.587926	+	0.249148i
$541$	−6.26037	+	2.59313i	−0.269154	+	0.111487i	−0.513179	−	0.858282i	$-0.671532\pi$
$541$	−6.26037	+	2.59313i	−0.269154	+	0.111487i	0.244024	+	0.969769i	$0.421532\pi$
$542$	21.4031	−	4.16693i	0.919343	−	0.178985i
$543$	7.55550			0.324237
$544$	−15.7333	+	22.5405i	−0.674559	+	0.966417i
$545$	−0.0567149			−0.00242940
$546$	−2.52645	+	0.491870i	−0.108122	+	0.0210501i
$547$	−15.5333	+	6.43411i	−0.664157	+	0.275103i	−0.689186	−	0.724584i	$-0.742032\pi$
$547$	−15.5333	+	6.43411i	−0.664157	+	0.275103i	0.0250299	+	0.999687i	$0.492032\pi$
$548$	−9.29168	+	21.9260i	−0.396921	+	0.936632i
$549$	11.9647	−	28.8852i	0.510639	−	1.23279i
$550$	26.0314	−	17.2409i	1.10998	−	0.735156i
$551$	41.7885	+	41.7885i	1.78025	+	1.78025i
$552$	2.16562	−	0.403368i	0.0921750	−	0.0171685i
$553$	−5.29929	+	5.29929i	−0.225349	+	0.225349i
$554$	1.33469	−	6.57019i	0.0567056	−	0.279141i
$555$	5.13818	+	2.12830i	0.218104	+	0.0903415i
$556$	−3.66573	−	0.0298160i	−0.155462	−	0.00126448i
$557$	−0.161735	−	0.390464i	−0.00685294	−	0.0165445i	0.920416	−	0.390940i	$-0.127850\pi$
$557$	−0.161735	−	0.390464i	−0.00685294	−	0.0165445i	−0.927269	+	0.374396i	$0.877850\pi$
$558$	−8.63520	−	5.82079i	−0.365557	−	0.246414i
$559$		−	17.9286i		−	0.758297i
$560$	5.31044	−	12.2529i	0.224407	−	0.517779i
$561$			6.62443i			0.279684i
$562$	−10.6361	+	15.7787i	−0.448656	+	0.665585i
$563$	−8.26465	−	19.9526i	−0.348314	−	0.840904i	−0.996819	−	0.0796938i	$-0.974606\pi$
$563$	−8.26465	−	19.9526i	−0.348314	−	0.840904i	0.648506	−	0.761210i	$-0.275394\pi$
$564$	−0.636821	−	0.647265i	−0.0268150	−	0.0272548i
$565$	2.17638	+	0.901486i	0.0915610	+	0.0379258i
$566$	26.7828	+	5.44075i	1.12577	+	0.228692i
$567$	−5.46215	+	5.46215i	−0.229389	+	0.229389i
$568$	9.15315	−	43.2514i	0.384058	−	1.81479i
$569$	28.2896	+	28.2896i	1.18596	+	1.18596i	0.978174	+	0.207789i	$0.0666266\pi$
$569$	28.2896	+	28.2896i	1.18596	+	1.18596i	0.207789	+	0.978174i	$0.433373\pi$
$570$	−6.17434	−	9.32241i	−0.258615	−	0.390473i
$571$	1.65479	−	3.99502i	0.0692508	−	0.167186i	−0.885465	−	0.464707i	$-0.846160\pi$
$571$	1.65479	−	3.99502i	0.0692508	−	0.167186i	0.954715	+	0.297521i	$0.0961597\pi$
$572$	12.9270	+	31.9409i	0.540505	+	1.33552i
$573$	1.34512	−	0.557167i	0.0561932	−	0.0232760i
$574$	−0.0567101	−	0.291287i	−0.00236704	−	0.0121581i
$575$	12.6134			0.526013
$576$	−8.22590	−	21.3158i	−0.342746	−	0.888157i
$577$	−35.5123			−1.47840			−0.739198	−	0.673488i	$-0.764795\pi$
$577$	−35.5123			−1.47840			−0.739198	+	0.673488i	$0.764795\pi$
$578$	−1.78717	−	9.17965i	−0.0743365	−	0.381823i
$579$	−1.10304	+	0.456893i	−0.0458407	+	0.0189878i
$580$	−23.7210	−	58.6114i	−0.984961	−	2.43371i
$581$	−4.15225	+	10.0244i	−0.172264	+	0.415883i
$582$	−2.32128	−	3.50481i	−0.0962200	−	0.145279i
$583$	−7.48033	−	7.48033i	−0.309804	−	0.309804i
$584$	36.0678	+	7.63292i	1.49250	+	0.315852i
$585$	−32.3353	+	32.3353i	−1.33690	+	1.33690i
$586$	−5.34685	−	1.08618i	−0.220877	−	0.0448696i
$587$	12.3920	+	5.13293i	0.511472	+	0.211859i	0.623466	−	0.781850i	$-0.285724\pi$
$587$	12.3920	+	5.13293i	0.511472	+	0.211859i	−0.111994	+	0.993709i	$0.535724\pi$
$588$	−0.532293	−	0.541023i	−0.0219514	−	0.0223114i
$589$	6.15768	+	14.8659i	0.253723	+	0.612541i
$590$	−17.4788	+	25.9300i	−0.719592	+	1.06752i
$591$			0.515799i			0.0212171i
$592$	−6.45478	−	16.3296i	−0.265290	−	0.671141i
$593$			14.6545i			0.601790i	0.953657	+	0.300895i	$0.0972854\pi$
$593$			14.6545i			0.601790i	−0.953657	+	0.300895i	$0.902715\pi$
$594$	−9.36161	−	6.31045i	−0.384111	−	0.258921i
$595$	6.20828	+	14.9881i	0.254515	+	0.614453i
$596$	16.5269	+	0.134425i	0.676966	+	0.00550624i
$597$	−2.02403	−	0.838382i	−0.0828382	−	0.0343127i
$598$	−2.77116	+	13.6414i	−0.113321	+	0.557838i
$599$	−6.64356	+	6.64356i	−0.271449	+	0.271449i	−0.829683	−	0.558235i	$-0.811479\pi$
$599$	−6.64356	+	6.64356i	−0.271449	+	0.271449i	0.558235	+	0.829683i	$0.311479\pi$
$600$	1.20792	+	6.48515i	0.0493132	+	0.264755i
$601$	10.4208	+	10.4208i	0.425074	+	0.425074i	0.886946	−	0.461873i	$-0.152822\pi$
$601$	10.4208	+	10.4208i	0.425074	+	0.425074i	−0.461873	+	0.886946i	$0.652822\pi$
$602$	4.40761	−	2.91922i	0.179641	−	0.118978i
$603$	−15.6515	+	37.7861i	−0.637378	+	1.53877i
$604$	8.21835	−	19.3932i	0.334400	−	0.789098i
$605$	−5.87552	+	2.43372i	−0.238874	+	0.0989448i
$606$	−3.44808	+	0.671299i	−0.140069	+	0.0272697i
$607$	37.1677			1.50859			0.754296	−	0.656534i	$-0.227978\pi$
$607$	37.1677			1.50859			0.754296	+	0.656534i	$0.227978\pi$
$608$	−7.58987	+	34.4776i	−0.307810	+	1.39825i
$609$	−3.59360			−0.145620
$610$	50.7338	−	9.87727i	2.05415	−	0.399919i
$611$	5.30103	−	2.19576i	0.214457	−	0.0888309i
$612$	25.5562	+	10.8301i	1.03305	+	0.437780i
$613$	11.6771	−	28.1909i	0.471632	−	1.13862i	−0.491810	−	0.870703i	$-0.663664\pi$
$613$	11.6771	−	28.1909i	0.471632	−	1.13862i	0.963442	−	0.267918i	$-0.0863355\pi$
$614$	−4.02192	+	2.66377i	−0.162312	+	0.107501i
$615$	0.187985	+	0.187985i	0.00758030	+	0.00758030i
$616$	−5.74762	+	8.37879i	−0.231578	+	0.337591i
$617$	25.6613	−	25.6613i	1.03309	−	1.03309i	0.0336527	−	0.999434i	$-0.489286\pi$
$617$	25.6613	−	25.6613i	1.03309	−	1.03309i	0.999434	−	0.0336527i	$-0.0107140\pi$
$618$	0.133414	−	0.656749i	0.00536671	−	0.0264183i
$619$	−8.52864	−	3.53268i	−0.342795	−	0.141990i	0.204643	−	0.978837i	$-0.434397\pi$
$619$	−8.52864	−	3.53268i	−0.342795	−	0.141990i	−0.547438	+	0.836846i	$0.684397\pi$
$620$	0.140023	−	17.2152i	0.00562347	−	0.691380i
$621$	−1.74535	−	4.21366i	−0.0700386	−	0.169088i
$622$	−3.78446	−	2.55102i	−0.151743	−	0.102287i
$623$			2.37610i			0.0951964i
$624$	−7.27909	−	0.118420i	−0.291397	−	0.00474059i
$625$		−	17.9575i		−	0.718302i
$626$	6.31484	−	9.36812i	0.252392	−	0.374425i
$627$	3.25575	+	7.86009i	0.130022	+	0.313902i
$628$	−23.0557	+	22.6836i	−0.920022	+	0.905176i
$629$	19.7074	+	8.16308i	0.785787	+	0.325483i
$630$	−13.2144	−	2.68442i	−0.526475	−	0.106950i
$631$	−21.1746	+	21.1746i	−0.842949	+	0.842949i	−0.989241	−	0.146293i	$-0.953266\pi$
$631$	−21.1746	+	21.1746i	−0.842949	+	0.842949i	0.146293	+	0.989241i	$0.453266\pi$
$632$	−17.7672	+	11.5606i	−0.706740	+	0.459857i
$633$	6.64449	+	6.64449i	0.264095	+	0.264095i
$634$	−12.0263	−	18.1580i	−0.477625	−	0.721147i
$635$	18.3130	−	44.2116i	0.726730	−	1.75448i
$636$	2.07179	−	0.838489i	0.0821520	−	0.0332482i
$637$	4.43092	−	1.83535i	0.175559	−	0.0727190i
$638$	9.19363	+	47.2223i	0.363979	+	1.86955i
$639$	−44.6401			−1.76593
$640$	21.8700	−	30.7957i	0.864489	−	1.21731i
$641$	−17.9251			−0.707998			−0.353999	−	0.935246i	$-0.615178\pi$
$641$	−17.9251			−0.707998			−0.353999	+	0.935246i	$0.615178\pi$
$642$	−0.600320	−	3.08349i	−0.0236927	−	0.121696i
$643$	−20.9243	+	8.66715i	−0.825175	+	0.341799i	−0.754991	−	0.655735i	$-0.772359\pi$
$643$	−20.9243	+	8.66715i	−0.825175	+	0.341799i	−0.0701845	+	0.997534i	$0.522359\pi$
$644$	−3.80486	+	1.53989i	−0.149932	+	0.0606801i
$645$	−1.81243	+	4.37559i	−0.0713643	+	0.172289i
$646$	−23.6816	−	35.7560i	−0.931740	−	1.40680i
$647$	6.60363	+	6.60363i	0.259615	+	0.259615i	0.824898	−	0.565282i	$-0.191233\pi$
$647$	6.60363	+	6.60363i	0.259615	+	0.259615i	−0.565282	+	0.824898i	$0.691233\pi$
$648$	−18.3132	+	11.9159i	−0.719410	+	0.468101i
$649$	16.8241	−	16.8241i	0.660403	−	0.660403i
$650$	−40.8504	−	8.29849i	−1.60228	−	0.325494i
$651$	−0.903965	−	0.374434i	−0.0354292	−	0.0146752i
$652$	−27.6267	+	27.1809i	−1.08195	+	1.06449i
$653$	1.95700	+	4.72461i	0.0765833	+	0.184888i	0.957535	−	0.288319i	$-0.0930963\pi$
$653$	1.95700	+	4.72461i	0.0765833	+	0.184888i	−0.880951	+	0.473207i	$0.843096\pi$
$654$	−0.00509591	+	0.00755984i	−0.000199266	+	0.000295613i
$655$			52.0591i			2.03412i
$656$	0.0136532	−	0.839242i	0.000533068	−	0.0327669i
$657$		−	37.2259i		−	1.45232i
$658$	1.40295	+	0.945698i	0.0546928	+	0.0368672i
$659$	−15.3450	−	37.0460i	−0.597755	−	1.44311i	−0.875864	−	0.482558i	$-0.839708\pi$
$659$	−15.3450	−	37.0460i	−0.597755	−	1.44311i	0.278109	−	0.960550i	$-0.410292\pi$
$660$	0.0740347	−	9.10221i	0.00288180	−	0.354303i
$661$	−16.5583	−	6.85866i	−0.644042	−	0.266771i	0.0366641	−	0.999328i	$-0.488327\pi$
$661$	−16.5583	−	6.85866i	−0.644042	−	0.266771i	−0.680706	+	0.732557i	$0.738327\pi$
$662$	7.24840	−	35.6812i	0.281717	−	1.38679i
$663$	6.25366	−	6.25366i	0.242872	−	0.242872i
$664$	−17.3602	+	25.3074i	−0.673706	+	0.982119i
$665$	14.7326	+	14.7326i	0.571306	+	0.571306i
$666$	−14.7820	+	9.79030i	−0.572791	+	0.379366i
$667$	−7.43738	+	17.9554i	−0.287976	+	0.695237i
$668$	−25.0628	−	10.6210i	−0.969710	−	0.410939i
$669$	0.650847	−	0.269590i	0.0251632	−	0.0104229i
$670$	−66.3672	+	12.9209i	−2.56399	+	0.499178i
$671$	−39.3261			−1.51817
$672$	−1.15611	−	1.80880i	−0.0445977	−	0.0697759i
$673$	0.893389			0.0344376			0.0172188	−	0.999852i	$-0.494519\pi$
$673$	0.893389			0.0344376			0.0172188	+	0.999852i	$0.494519\pi$
$674$	29.6786	−	5.77806i	1.14318	−	0.222563i
$675$	12.6182	−	5.22662i	0.485674	−	0.201173i
$676$	7.80488	−	18.4175i	0.300188	−	0.708366i
$677$	17.9110	−	43.2410i	0.688376	−	1.66189i	−0.0596513	−	0.998219i	$-0.518999\pi$
$677$	17.9110	−	43.2410i	0.688376	−	1.66189i	0.748027	−	0.663668i	$-0.231001\pi$
$678$	0.315715	−	0.209102i	0.0121250	−	0.00803051i
$679$	5.53880	+	5.53880i	0.212560	+	0.212560i
$680$	8.40213	+	45.1098i	0.322207	+	1.72988i
$681$	2.47830	−	2.47830i	0.0949686	−	0.0949686i
$682$	−2.60768	+	12.8366i	−0.0998531	+	0.491540i
$683$	−22.7334	−	9.41650i	−0.869871	−	0.360312i	−0.0973109	−	0.995254i	$-0.531024\pi$
$683$	−22.7334	−	9.41650i	−0.869871	−	0.360312i	−0.772560	+	0.634942i	$0.781024\pi$
$684$	35.6459	+	0.289933i	1.36296	+	0.0110859i
$685$	15.2121	+	36.7254i	0.581226	+	1.40320i
$686$	1.17267	+	0.790470i	0.0447728	+	0.0301803i
$687$			0.926808i			0.0353599i
$688$	13.9060	−	5.49678i	0.530161	−	0.209563i
$689$			14.1233i			0.538055i
$690$	2.05535	−	3.04913i	0.0782459	−	0.116079i
$691$	−1.31342	−	3.17087i	−0.0499648	−	0.120626i	0.896926	−	0.442180i	$-0.145795\pi$
$691$	−1.31342	−	3.17087i	−0.0499648	−	0.120626i	−0.946891	+	0.321554i	$0.895795\pi$
$692$	4.42231	+	4.49484i	0.168111	+	0.170868i
$693$	9.47871	+	3.92621i	0.360067	+	0.149144i
$694$	−21.9805	−	4.46519i	−0.834367	−	0.169496i
$695$	−4.32700	+	4.32700i	−0.164133	+	0.164133i
$696$	−9.94401	−	2.10442i	−0.376927	−	0.0797678i
$697$	0.721015	+	0.721015i	0.0273104	+	0.0273104i
$698$	0.108236	+	0.163422i	0.00409680	+	0.00618560i
$699$	−0.618871	+	1.49409i	−0.0234078	+	0.0565115i
$700$	−4.61133	−	11.3940i	−0.174292	−	0.430652i
$701$	−40.7868	+	16.8944i	−1.54050	+	0.638094i	−0.981567	−	0.191121i	$-0.938788\pi$
$701$	−40.7868	+	16.8944i	−1.54050	+	0.638094i	−0.558930	+	0.829215i	$0.688788\pi$
$702$	2.88039	+	14.7949i	0.108713	+	0.558397i
$703$	27.3954			1.03324
$704$	−20.8111	+	19.8195i	−0.784348	+	0.746975i
$705$	−1.51573			−0.0570856
$706$	4.27262	+	21.9460i	0.160802	+	0.825947i
$707$	6.04727	−	2.50486i	0.227431	−	0.0942049i
$708$	1.88586	+	4.65970i	0.0708748	+	0.175122i
$709$	5.43741	−	13.1271i	0.204206	−	0.492998i	−0.788285	−	0.615310i	$-0.789031\pi$
$709$	5.43741	−	13.1271i	0.204206	−	0.492998i	0.992492	+	0.122312i	$0.0390309\pi$
$710$	−40.7497	−	61.5265i	−1.52931	−	2.30905i
$711$	15.1347	+	15.1347i	0.567597	+	0.567597i
$712$	−1.39145	+	6.57500i	−0.0521467	+	0.246409i
$713$	−3.74172	+	3.74172i	−0.140128	+	0.140128i
$714$	2.55567	+	0.519168i	0.0956436	+	0.0194294i
$715$	53.1408	+	22.0116i	1.98735	+	0.823189i
$716$	−5.56989	−	5.66124i	−0.208157	−	0.211570i
$717$	−3.68193	−	8.88897i	−0.137504	−	0.331965i
$718$	13.7164	−	20.3484i	0.511890	−	0.759394i
$719$		−	44.6350i		−	1.66461i	−0.554321	−	0.832303i	$-0.687022\pi$
$719$		−	44.6350i		−	1.66461i	0.554321	−	0.832303i	$-0.312978\pi$
$720$	−34.9941	−	15.1665i	−1.30415	−	0.565224i
$721$			1.24873i			0.0465052i
$722$	−23.3914	−	15.7676i	−0.870539	−	0.586810i
$723$	−2.07847	−	5.01787i	−0.0772992	−	0.186617i
$724$	−39.8182	−	0.323870i	−1.47983	−	0.0120365i
$725$	−53.7691	−	22.2719i	−1.99694	−	0.827158i
$726$	−0.203520	+	1.00185i	−0.00755334	+	0.0371823i
$727$	−28.5894	+	28.5894i	−1.06032	+	1.06032i	−0.0622606	+	0.998060i	$0.519831\pi$
$727$	−28.5894	+	28.5894i	−1.06032	+	1.06032i	−0.998060	+	0.0622606i	$0.980169\pi$
$728$	13.3358	−	2.48391i	0.494256	−	0.0920598i
$729$	13.8109	+	13.8109i	0.511514	+	0.511514i
$730$	51.3076	−	33.9817i	1.89898	−	1.25772i
$731$	−6.95154	+	16.7825i	−0.257112	+	0.620723i
$732$	3.24191	−	7.65008i	0.119824	−	0.282755i
$733$	−44.0036	+	18.2269i	−1.62531	+	0.673226i	−0.994695	−	0.102869i	$-0.967198\pi$
$733$	−44.0036	+	18.2269i	−1.62531	+	0.673226i	−0.630616	+	0.776095i	$0.717198\pi$
$734$	−7.95424	+	1.54860i	−0.293597	+	0.0571597i
$735$	−1.26693			−0.0467316
$736$	−11.4303	+	2.03296i	−0.421328	+	0.0749358i
$737$	51.4443			1.89497
$738$	−0.831913	+	0.161964i	−0.0306231	+	0.00596196i
$739$	23.9353	−	9.91432i	0.880474	−	0.364704i	0.103793	−	0.994599i	$-0.466902\pi$
$739$	23.9353	−	9.91432i	0.880474	−	0.364704i	0.776681	+	0.629895i	$0.216902\pi$
$740$	−26.9875	−	11.4366i	−0.992080	−	0.420419i
$741$	4.34663	−	10.4937i	0.159677	−	0.385495i
$742$	−3.47212	+	2.29963i	−0.127465	+	0.0844219i
$743$	−37.5418	−	37.5418i	−1.37728	−	1.37728i	−0.849194	−	0.528082i	$-0.822911\pi$
$743$	−37.5418	−	37.5418i	−1.37728	−	1.37728i	−0.528082	−	0.849194i	$-0.677089\pi$
$744$	−2.28213	−	1.56548i	−0.0836669	−	0.0573931i
$745$	19.5082	−	19.5082i	0.714724	−	0.714724i
$746$	3.36022	−	16.5411i	0.123026	−	0.605613i
$747$	28.6296	+	11.8588i	1.04750	+	0.433890i
$748$	0.283959	−	34.9114i	0.0103826	−	1.27649i
$749$	2.24001	+	5.40786i	0.0818481	+	0.197599i
$750$	1.70243	+	1.14757i	0.0621640	+	0.0419033i
$751$		−	6.41014i		−	0.233909i	−0.993137	−	0.116955i	$-0.962687\pi$
$751$		−	6.41014i		−	0.233909i	0.993137	−	0.116955i	$-0.0373132\pi$
$752$	3.32837	+	3.43845i	0.121373	+	0.125387i
$753$			0.0669961i			0.00244147i
$754$	35.9002	−	53.2584i	1.30741	−	1.93955i
$755$	−13.4549	−	32.4830i	−0.489674	−	1.18218i
$756$	−3.16822	+	3.11710i	−0.115227	+	0.113368i
$757$	35.1725	+	14.5689i	1.27837	+	0.529517i	0.915498	−	0.402323i	$-0.131797\pi$
$757$	35.1725	+	14.5689i	1.27837	+	0.529517i	0.362870	+	0.931840i	$0.381797\pi$
$758$	44.0117	+	8.94068i	1.59858	+	0.324740i
$759$	−1.97836	+	1.97836i	−0.0718100	+	0.0718100i
$760$	32.1398	+	49.3947i	1.16583	+	1.79173i
$761$	15.6319	+	15.6319i	0.566657	+	0.566657i	0.931190	−	0.364533i	$-0.118771\pi$
$761$	15.6319	+	15.6319i	0.566657	+	0.566657i	−0.364533	+	0.931190i	$0.618771\pi$
$762$	−4.24775	−	6.41352i	−0.153880	−	0.232337i
$763$	0.00650099	−	0.0156948i	0.000235352	−	0.000568189i
$764$	−7.11281	+	2.87867i	−0.257332	+	0.104147i
$765$	42.8059	−	17.7308i	1.54765	−	0.641058i
$766$	−3.56573	−	18.3151i	−0.128835	−	0.661751i
$767$	−31.7649			−1.14696
$768$	−2.13987	−	5.68221i	−0.0772160	−	0.205039i
$769$	−42.0079			−1.51484			−0.757422	−	0.652926i	$-0.773541\pi$
$769$	−42.0079			−1.51484			−0.757422	+	0.652926i	$0.773541\pi$
$770$	3.24124	+	16.6483i	0.116806	+	0.599965i
$771$	1.85973	−	0.770326i	0.0669766	−	0.0277426i
$772$	5.83271	−	2.36059i	0.209924	−	0.0849595i
$773$	−9.85905	+	23.8019i	−0.354605	+	0.856093i	0.641434	+	0.767178i	$0.278340\pi$
$773$	−9.85905	+	23.8019i	−0.354605	+	0.856093i	−0.996039	+	0.0889147i	$0.971660\pi$
$774$	−8.33725	−	12.5881i	−0.299676	−	0.452470i
$775$	−11.2049	−	11.2049i	−0.402493	−	0.402493i
$776$	12.0831	+	18.5702i	0.433759	+	0.666631i
$777$	−1.17794	+	1.17794i	−0.0422582	+	0.0422582i
$778$	12.2429	+	2.48708i	0.438931	+	0.0891660i
$779$	1.20987	+	0.501144i	0.0433480	+	0.0179553i
$780$	−8.66265	+	8.52287i	−0.310173	+	0.305168i
$781$	21.4875	+	51.8754i	0.768883	+	1.85625i
$782$	7.88327	−	11.6949i	0.281905	−	0.418209i
$783$			21.0441i			0.752055i
$784$	2.78204	+	2.87406i	0.0993587	+	0.102645i
$785$			53.9904i			1.92700i
$786$	6.93924	+	4.67758i	0.247514	+	0.166844i
$787$	3.55795	+	8.58965i	0.126827	+	0.306188i	0.974520	−	0.224299i	$-0.0720092\pi$
$787$	3.55795	+	8.58965i	0.126827	+	0.306188i	−0.847693	+	0.530487i	$0.822009\pi$
$788$	0.0221099	−	2.71831i	0.000787633	−	0.0968358i
$789$	6.54863	+	2.71253i	0.233137	+	0.0965686i
$790$	−7.04412	+	34.6756i	−0.250619	+	1.23370i
$791$	−0.498939	+	0.498939i	−0.0177402	+	0.0177402i
$792$	23.9297	+	16.4151i	0.850307	+	0.583286i
$793$	37.1250	+	37.1250i	1.31835	+	1.31835i
$794$	32.3262	−	21.4100i	1.14721	−	0.759814i
$795$	1.42775	−	3.44689i	0.0506370	−	0.122249i
$796$	10.6309	+	4.50512i	0.376803	+	0.159680i
$797$	−6.71826	+	2.78280i	−0.237973	+	0.0985717i	−0.498483	−	0.866899i	$-0.666109\pi$
$797$	−6.71826	+	2.78280i	−0.237973	+	0.0985717i	0.260510	+	0.965471i	$0.416109\pi$
$798$	3.28754	−	0.640045i	0.116378	−	0.0226573i
$799$	−5.81355			−0.205669
$800$	−6.08788	−	34.2292i	−0.215239	−	1.21018i
$801$	6.78611			0.239776
$802$	−40.5376	+	7.89219i	−1.43143	+	0.278683i
$803$	−43.2595	+	17.9187i	−1.52659	+	0.632336i
$804$	−4.24089	+	10.0074i	−0.149565	+	0.352934i
$805$	−2.62207	+	6.33023i	−0.0924157	+	0.223111i
$806$	14.5799	−	9.65643i	0.513554	−	0.340133i
$807$	8.25685	+	8.25685i	0.290655	+	0.290655i
$808$	18.2005	−	3.39001i	0.640291	−	0.119260i
$809$	−15.8308	+	15.8308i	−0.556582	+	0.556582i	−0.928333	−	0.371750i	$-0.878758\pi$
$809$	−15.8308	+	15.8308i	−0.556582	+	0.556582i	0.371750	+	0.928333i	$0.378758\pi$
$810$	−7.26060	+	35.7412i	−0.255112	+	1.25582i
$811$	−0.595525	−	0.246675i	−0.0209117	−	0.00866192i	0.372203	−	0.928151i	$-0.378602\pi$
$811$	−0.595525	−	0.246675i	−0.0209117	−	0.00866192i	−0.393115	+	0.919489i	$0.628602\pi$
$812$	18.9387	+	0.154041i	0.664617	+	0.00540579i
$813$	−2.23912	−	5.40571i	−0.0785293	−	0.189587i
$814$	18.4924	+	12.4653i	0.648159	+	0.436909i
$815$			64.6945i			2.26615i
$816$	6.76788	+	2.93322i	0.236923	+	0.102683i
$817$			23.3295i			0.816195i
$818$	17.4733	−	25.9218i	0.610940	−	0.906336i
$819$	−5.24173	−	12.6547i	−0.183161	−	0.442189i
$820$	−0.982643	−	0.998759i	−0.0343154	−	0.0348782i
$821$	−19.6410	−	8.13557i	−0.685476	−	0.283933i	0.0126382	−	0.999920i	$-0.495977\pi$
$821$	−19.6410	−	8.13557i	−0.685476	−	0.283933i	−0.698114	+	0.715987i	$0.745977\pi$
$822$	6.26216	+	1.27212i	0.218418	+	0.0443702i
$823$	20.5647	−	20.5647i	0.716842	−	0.716842i	−0.251115	−	0.967957i	$-0.580797\pi$
$823$	20.5647	−	20.5647i	0.716842	−	0.716842i	0.967957	+	0.251115i	$0.0807974\pi$
$824$	−0.731259	+	3.45541i	−0.0254746	+	0.120375i
$825$	−5.92439	−	5.92439i	−0.206261	−	0.206261i
$826$	−5.17212	−	7.80918i	−0.179961	−	0.271716i
$827$	12.1516	−	29.3365i	0.422552	−	1.02013i	−0.559041	−	0.829140i	$-0.688830\pi$
$827$	12.1516	−	29.3365i	0.422552	−	1.02013i	0.981592	−	0.190989i	$-0.0611696\pi$
$828$	4.39790	+	10.8666i	0.152838	+	0.377642i
$829$	22.6145	−	9.36725i	0.785436	−	0.325338i	0.0463287	−	0.998926i	$-0.485248\pi$
$829$	22.6145	−	9.36725i	0.785436	−	0.325338i	0.739107	+	0.673588i	$0.235248\pi$
$830$	9.78987	+	50.2849i	0.339812	+	1.74541i
$831$	−1.79904			−0.0624080
$832$	38.3565	+	0.936106i	1.32977	+	0.0324536i
$833$	−4.85931			−0.168365
$834$	0.187983	+	0.965558i	0.00650931	+	0.0334345i
$835$	−41.9795	+	17.3885i	−1.45276	+	0.601753i
$836$	−16.8212	−	41.5630i	−0.581774	−	1.43749i
$837$	−2.19268	+	5.29361i	−0.0757903	+	0.182974i
$838$	28.0248	+	42.3136i	0.968102	+	1.46170i
$839$	−27.6139	−	27.6139i	−0.953337	−	0.953337i	0.0456221	−	0.998959i	$-0.485473\pi$
$839$	−27.6139	−	27.6139i	−0.953337	−	0.953337i	−0.998959	+	0.0456221i	$0.985473\pi$
$840$	−3.50578	−	0.741918i	−0.120961	−	0.0255986i
$841$	42.9031	−	42.9031i	1.47942	−	1.47942i
$842$	−3.19359	−	0.648758i	−0.110059	−	0.0223577i
$843$	4.71746	+	1.95403i	0.162478	+	0.0673005i
$844$	−34.7323	−	35.3019i	−1.19554	−	1.21514i
$845$	−12.7780	−	30.8488i	−0.439576	−	1.06123i
$846$	2.70090	−	4.00682i	0.0928590	−	0.137757i
$847$		−	1.90491i		−	0.0654534i
$848$	−10.9545	+	4.33011i	−0.376179	+	0.148697i
$849$		−	7.33363i		−	0.251689i
$850$	35.0215	+	23.6072i	1.20123	+	0.809720i
$851$	3.44768	+	8.32343i	0.118185	+	0.285323i
$852$	−11.8626	−	0.0964870i	−0.406407	−	0.00330559i
$853$	−17.0240	−	7.05156i	−0.582889	−	0.241441i	0.0716988	−	0.997426i	$-0.477158\pi$
$853$	−17.0240	−	7.05156i	−0.582889	−	0.241441i	−0.654588	+	0.755986i	$0.727158\pi$
$854$	−3.08206	+	15.1718i	−0.105466	+	0.519169i
$855$	42.0762	−	42.0762i	1.43898	−	1.43898i
$856$	3.03157	+	16.2761i	0.103617	+	0.556304i
$857$	22.0921	+	22.0921i	0.754652	+	0.754652i	0.975344	−	0.220692i	$-0.0708315\pi$
$857$	22.0921	+	22.0921i	0.754652	+	0.754652i	−0.220692	+	0.975344i	$0.570831\pi$
$858$	7.70883	−	5.10565i	0.263175	−	0.174304i
$859$	14.6598	−	35.3918i	0.500185	−	1.20755i	−0.449198	−	0.893432i	$-0.648290\pi$
$859$	14.6598	−	35.3918i	0.500185	−	1.20755i	0.949383	−	0.314121i	$-0.101710\pi$
$860$	9.73924	−	22.9821i	0.332105	−	0.783683i
$861$	−0.0735693	+	0.0304734i	−0.00250724	+	0.00103853i
$862$	−44.4667	+	8.65713i	−1.51454	+	0.294863i
$863$	40.6433			1.38351			0.691757	−	0.722131i	$-0.256837\pi$
$863$	40.6433			1.38351			0.691757	+	0.722131i	$0.256837\pi$
$864$	−10.5923	+	6.77014i	−0.360357	+	0.230325i
$865$	10.5257			0.357886
$866$	55.9262	−	10.8882i	1.90045	−	0.369995i
$867$	−2.31847	+	0.960343i	−0.0787394	+	0.0326149i
$868$	4.74794	+	2.01206i	0.161155	+	0.0682936i
$869$	10.3027	−	24.8729i	0.349494	−	0.843754i
$870$	−14.1457	+	9.36885i	−0.479583	+	0.317634i
$871$	−48.5649	−	48.5649i	−1.64556	−	1.64556i
$872$	0.0271800	−	0.0396227i	0.000920432	−	0.00134179i
$873$	15.8188	−	15.8188i	0.535384	−	0.535384i
$874$	3.60596	−	17.7508i	0.121973	−	0.600430i
$875$	−3.53437	−	1.46398i	−0.119484	−	0.0494917i
$876$	0.0804617	−	9.89238i	0.00271855	−	0.334233i
$877$	8.00972	+	19.3372i	0.270469	+	0.652970i	0.999504	−	0.0315071i	$-0.0100307\pi$
$877$	8.00972	+	19.3372i	0.270469	+	0.652970i	−0.729035	+	0.684477i	$0.760031\pi$
$878$	27.7383	+	18.6977i	0.936121	+	0.631018i
$879$			1.46407i			0.0493818i
$880$	−0.780340	+	47.9664i	−0.0263053	+	1.61695i
$881$		−	1.79780i		−	0.0605694i	−0.999541	−	0.0302847i	$-0.990359\pi$
$881$		−	1.79780i		−	0.0605694i	0.999541	−	0.0302847i	$-0.00964140\pi$
$882$	2.25758	−	3.34914i	0.0760165	−	0.112771i
$883$	5.31897	+	12.8411i	0.178998	+	0.432139i	0.987757	−	0.156001i	$-0.0498604\pi$
$883$	5.31897	+	12.8411i	0.178998	+	0.432139i	−0.808759	+	0.588140i	$0.799860\pi$
$884$	−33.2255	+	32.6894i	−1.11749	+	1.09946i
$885$	7.75244	+	3.21117i	0.260595	+	0.107942i
$886$	−53.0226	−	10.7712i	−1.78133	−	0.361866i
$887$	−14.1746	+	14.1746i	−0.475938	+	0.475938i	−0.903830	−	0.427892i	$-0.859256\pi$
$887$	−14.1746	+	14.1746i	−0.475938	+	0.475938i	0.427892	+	0.903830i	$0.359256\pi$
$888$	−3.94932	+	2.56972i	−0.132530	+	0.0862340i
$889$	10.1356	+	10.1356i	0.339936	+	0.339936i
$890$	6.19471	+	9.35315i	0.207647	+	0.313518i
$891$	10.6193	−	25.6372i	0.355760	−	0.858880i
$892$	−3.44159	+	1.39287i	−0.115233	+	0.0466366i
$893$	−6.89795	+	2.85722i	−0.230831	+	0.0956134i
$894$	−0.847515	−	4.35319i	−0.0283451	−	0.145593i
$895$	−13.2571			−0.443138
$896$	6.01526	+	9.58210i	0.200956	+	0.320116i
$897$	3.73527			0.124717
$898$	−5.07427	−	26.0636i	−0.169331	−	0.869753i
$899$	22.5574	−	9.34357i	0.752330	−	0.311625i
$900$	−32.5411	+	13.1699i	−1.08470	+	0.438997i
$901$	5.47611	−	13.2205i	0.182436	−	0.440439i
$902$	0.588656	+	0.888789i	0.0196001	+	0.0295934i
$903$	−1.00311	−	1.00311i	−0.0333814	−	0.0333814i
$904$	−1.67281	+	1.08845i	−0.0556369	+	0.0362015i
$905$	−47.0012	+	47.0012i	−1.56237	+	1.56237i
$906$	−5.53879	−	1.12517i	−0.184014	−	0.0373812i
$907$	0.467110	+	0.193483i	0.0155101	+	0.00642451i	0.390425	−	0.920635i	$-0.372328\pi$
$907$	0.467110	+	0.193483i	0.0155101	+	0.00642451i	−0.374915	+	0.927059i	$0.622328\pi$
$908$	−13.1671	+	12.9546i	−0.436966	+	0.429915i
$909$	−7.15385	−	17.2709i	−0.237278	−	0.572841i
$910$	12.6567	−	18.7764i	0.419566	−	0.622430i
$911$		−	31.7666i		−	1.05247i	−0.850338	−	0.526237i	$-0.823603\pi$
$911$		−	31.7666i		−	1.05247i	0.850338	−	0.526237i	$-0.176397\pi$
$912$	9.47190	+	0.154093i	0.313646	+	0.00510254i
$913$		−	38.9782i		−	1.28999i
$914$	14.8890	+	10.0363i	0.492485	+	0.331973i
$915$	−5.30759	−	12.8137i	−0.175464	−	0.423606i
$916$	0.0397280	−	4.88437i	0.00131265	−	0.161384i
$917$	−14.4064	−	5.96731i	−0.475740	−	0.197058i
$918$	3.04024	−	14.9660i	0.100343	−	0.493951i
$919$	−1.73980	+	1.73980i	−0.0573908	+	0.0573908i	−0.735220	−	0.677829i	$-0.762921\pi$
$919$	−1.73980	+	1.73980i	−0.0573908	+	0.0573908i	0.677829	+	0.735220i	$0.262921\pi$
$920$	−10.9626	+	15.9811i	−0.361427	+	0.526883i
$921$	0.915333	+	0.915333i	0.0301612	+	0.0301612i
$922$	−21.6401	+	14.3325i	−0.712679	+	0.472016i
$923$	28.6871	−	69.2567i	0.944247	−	2.27961i
$924$	2.51038	+	1.06384i	0.0825854	+	0.0349976i
$925$	−24.9253	+	10.3244i	−0.819538	+	0.339464i
$926$	3.76563	−	0.733124i	0.123746	−	0.0240919i
$927$	3.56636			0.117135
$928$	52.3157	+	11.5168i	1.71735	+	0.378056i
$929$	0.177370			0.00581931			0.00290965	−	0.999996i	$-0.499074\pi$
$929$	0.177370			0.00581931			0.00290965	+	0.999996i	$0.499074\pi$
$930$	−4.53451	+	0.882814i	−0.148692	+	0.0289486i
$931$	−5.76571	+	2.38824i	−0.188964	+	0.0782713i
$932$	3.32556	−	7.84746i	0.108932	−	0.257052i
$933$	−0.468667	+	1.13146i	−0.0153435	+	0.0370424i
$934$	5.22389	−	3.45985i	0.170931	−	0.113210i
$935$	−41.2092	−	41.2092i	−1.34768	−	1.34768i
$936$	−7.09402	−	38.0868i	−0.231875	−	1.24490i
$937$	−22.8624	+	22.8624i	−0.746881	+	0.746881i	−0.973892	−	0.227011i	$-0.927105\pi$
$937$	−22.8624	+	22.8624i	−0.746881	+	0.746881i	0.227011	+	0.973892i	$0.427105\pi$
$938$	4.03178	−	19.8469i	0.131642	−	0.648026i
$939$	−2.80084	−	1.16015i	−0.0914020	−	0.0378599i
$940$	7.98803	+	0.0649723i	0.260541	+	0.00211916i
$941$	−19.3102	−	46.6189i	−0.629493	−	1.51973i	−0.840253	−	0.542194i	$-0.817594\pi$
$941$	−19.3102	−	46.6189i	−0.629493	−	1.51973i	0.210760	−	0.977538i	$-0.432406\pi$
$942$	7.19667	+	4.85111i	0.234480	+	0.158058i
$943$			0.430657i			0.0140241i
$944$	−9.73891	−	24.6379i	−0.316974	−	0.801896i
$945$			7.41915i			0.241345i
$946$	−10.6152	+	15.7478i	−0.345131	+	0.512006i
$947$	5.31790	+	12.8385i	0.172809	+	0.417197i	0.986427	−	0.164203i	$-0.0525053\pi$
$947$	5.31790	+	12.8385i	0.172809	+	0.417197i	−0.813618	+	0.581400i	$0.802505\pi$
$948$	3.98918	+	4.05460i	0.129562	+	0.131687i
$949$	57.7540	+	23.9225i	1.87477	+	0.776557i
$950$	53.1564	+	10.7984i	1.72462	+	0.350346i
$951$	−4.13251	+	4.13251i	−0.134006	+	0.134006i
$952$	−13.4464	−	2.84562i	−0.435800	−	0.0922270i
$953$	5.45120	+	5.45120i	0.176582	+	0.176582i	0.789864	−	0.613282i	$-0.210151\pi$
$953$	5.45120	+	5.45120i	0.176582	+	0.176582i	−0.613282	+	0.789864i	$0.710151\pi$
$954$	6.56771	+	9.91633i	0.212637	+	0.321053i
$955$	−4.90169	+	11.8337i	−0.158615	+	0.382931i
$956$	19.0231	+	47.0036i	0.615252	+	1.52020i
$957$	11.9268	−	4.94023i	0.385538	−	0.159695i
$958$	−5.85696	−	30.0838i	−0.189230	−	0.971964i
$959$	−11.9068			−0.384489
$960$	−9.26653	−	4.10598i	−0.299076	−	0.132520i
$961$	−24.3522			−0.785554
$962$	−5.68976	−	29.2250i	−0.183445	−	0.942253i
$963$	15.4448	−	6.39744i	0.497701	−	0.206155i
$964$	10.7387	+	26.5338i	0.345869	+	0.854596i
$965$	4.01953	−	9.70400i	0.129393	−	0.312383i
$966$	0.608194	+	0.918290i	0.0195683	+	0.0295455i
$967$	−0.156583	−	0.156583i	−0.00503537	−	0.00503537i	0.704585	−	0.709620i	$-0.251133\pi$
$967$	−0.156583	−	0.156583i	−0.00503537	−	0.00503537i	−0.709620	+	0.704585i	$0.751133\pi$
$968$	1.11552	−	5.27115i	0.0358540	−	0.169421i
$969$	−8.13755	+	8.13755i	−0.261416	+	0.261416i
$970$	36.2428	+	7.36249i	1.16369	+	0.236395i
$971$	−8.82699	−	3.65626i	−0.283272	−	0.117335i	0.236524	−	0.971626i	$-0.423992\pi$
$971$	−8.82699	−	3.65626i	−0.283272	−	0.117335i	−0.519795	+	0.854291i	$0.673992\pi$
$972$	13.4631	+	13.6839i	0.431828	+	0.438911i
$973$	−0.701431	−	1.69340i	−0.0224868	−	0.0542880i
$974$	17.8721	−	26.5134i	0.572658	−	0.849544i
$975$			11.1856i			0.358226i
$976$	−17.4131	+	40.1777i	−0.557381	+	1.28606i
$977$		−	22.5326i		−	0.720880i	−0.932782	−	0.360440i	$-0.882627\pi$
$977$		−	22.5326i		−	0.720880i	0.932782	−	0.360440i	$-0.117373\pi$
$978$	8.62349	+	5.81290i	0.275749	+	0.185876i
$979$	−3.26649	−	7.88601i	−0.104398	−	0.252038i
$980$	6.67687	+	0.0543077i	0.213285	+	0.00173479i
$981$	−0.0448241	−	0.0185668i	−0.00143112	−	0.000592791i
$982$	1.00086	−	4.92686i	0.0319387	−	0.157222i
$983$	−3.72930	+	3.72930i	−0.118946	+	0.118946i	−0.764074	−	0.645128i	$-0.776804\pi$
$983$	−3.72930	+	3.72930i	−0.118946	+	0.118946i	0.645128	+	0.764074i	$0.276804\pi$
$984$	−0.221422	+	0.0412419i	−0.00705868	+	0.00131475i
$985$	−3.20867	−	3.20867i	−0.102237	−	0.102237i
$986$	−54.2556	+	35.9341i	−1.72785	+	1.14438i
$987$	0.173741	−	0.419449i	0.00553025	−	0.0133512i
$988$	−23.3570	+	55.1165i	−0.743084	+	1.75349i
$989$	−7.08809	+	2.93598i	−0.225388	+	0.0933588i
$990$	47.5475	−	9.25693i	1.51116	−	0.294205i
$991$	−11.0094			−0.349727			−0.174863	−	0.984593i	$-0.555948\pi$
$991$	−11.0094			−0.349727			−0.174863	+	0.984593i	$0.555948\pi$
$992$	11.9599	+	8.34804i	0.379729	+	0.265051i
$993$	−9.77017			−0.310047
$994$	21.6973	−	4.22420i	0.688195	−	0.133983i
$995$	17.8065	−	7.37569i	0.564503	−	0.233825i
$996$	7.58239	+	3.21323i	0.240257	+	0.101815i
$997$	16.6062	−	40.0909i	0.525923	−	1.26969i	−0.408250	−	0.912870i	$-0.633861\pi$
$997$	16.6062	−	40.0909i	0.525923	−	1.26969i	0.934173	−	0.356820i	$-0.116139\pi$
$998$	−38.3383	+	25.3919i	−1.21358	+	0.803768i
$999$	6.89798	+	6.89798i	0.218243	+	0.218243i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	224.2.u.b.85.6	yes	40
4.3	odd	2		896.2.u.b.561.5		40
32.3	odd	8		896.2.u.b.337.5		40
32.29	even	8	inner	224.2.u.b.29.6	✓	40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
224.2.u.b.29.6	✓	40	32.29	even	8	inner
224.2.u.b.85.6	yes	40	1.1	even	1	trivial
896.2.u.b.337.5		40	32.3	odd	8
896.2.u.b.561.5		40	4.3	odd	2

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:	\( N \)	\(=\)	\( 224 = 2^{5} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	224.u (of order \(8\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.270256 + 1.38815i) q^{2} +(0.350600 - 0.145223i) q^{3} +(-1.85392 + 0.750313i) q^{4} +(-1.27761 + 3.08441i) q^{5} +(0.296344 + 0.447438i) q^{6} +(-0.707107 - 0.707107i) q^{7} +(-1.54258 - 2.37075i) q^{8} +(-2.01949 + 2.01949i) q^{9} +O(q^{10})\)	\(q+(0.270256 + 1.38815i) q^{2} +(0.350600 - 0.145223i) q^{3} +(-1.85392 + 0.750313i) q^{4} +(-1.27761 + 3.08441i) q^{5} +(0.296344 + 0.447438i) q^{6} +(-0.707107 - 0.707107i) q^{7} +(-1.54258 - 2.37075i) q^{8} +(-2.01949 + 2.01949i) q^{9} +(-4.62691 - 0.939927i) q^{10} +(3.31889 + 1.37473i) q^{11} +(-0.541023 + 0.532293i) q^{12} +(-1.83535 - 4.43092i) q^{13} +(0.790470 - 1.17267i) q^{14} +1.26693i q^{15} +(2.87406 - 2.78204i) q^{16} +4.85931i q^{17} +(-3.34914 - 2.25758i) q^{18} +(2.38824 + 5.76571i) q^{19} +(0.0543077 - 6.67687i) q^{20} +(-0.350600 - 0.145223i) q^{21} +(-1.01138 + 4.97865i) q^{22} +(-1.45121 + 1.45121i) q^{23} +(-0.885117 - 0.607165i) q^{24} +(-4.34579 - 4.34579i) q^{25} +(5.65476 - 3.74522i) q^{26} +(-0.850426 + 2.05311i) q^{27} +(1.84147 + 0.780370i) q^{28} +(8.74881 - 3.62387i) q^{29} +(-1.75869 + 0.342397i) q^{30} +2.57834 q^{31} +(4.63863 + 3.23776i) q^{32} +1.36325 q^{33} +(-6.74545 + 1.31326i) q^{34} +(3.08441 - 1.27761i) q^{35} +(2.22873 - 5.25923i) q^{36} +(1.67989 - 4.05560i) q^{37} +(-7.35824 + 4.87345i) q^{38} +(-1.28694 - 1.28694i) q^{39} +(9.28317 - 1.72908i) q^{40} +(0.148378 - 0.148378i) q^{41} +(0.106840 - 0.525933i) q^{42} +(3.45368 + 1.43056i) q^{43} +(-7.18444 - 0.0584361i) q^{44} +(-3.64883 - 8.80905i) q^{45} +(-2.40670 - 1.62230i) q^{46} +1.19637i q^{47} +(0.603628 - 1.39277i) q^{48} +1.00000i q^{49} +(4.85814 - 7.20709i) q^{50} +(0.705685 + 1.70367i) q^{51} +(6.72716 + 6.83749i) q^{52} +(-2.72066 - 1.12693i) q^{53} +(-3.07986 - 0.625653i) q^{54} +(-8.48046 + 8.48046i) q^{55} +(-0.585601 + 2.76714i) q^{56} +(1.67463 + 1.67463i) q^{57} +(7.39490 + 11.1653i) q^{58} +(2.53460 - 6.11906i) q^{59} +(-0.950597 - 2.34880i) q^{60} +(-10.1139 + 4.18932i) q^{61} +(0.696812 + 3.57912i) q^{62} +2.85599 q^{63} +(-3.24088 + 7.31414i) q^{64} +16.0116 q^{65} +(0.368426 + 1.89239i) q^{66} +(13.2305 - 5.48024i) q^{67} +(-3.64600 - 9.00878i) q^{68} +(-0.298046 + 0.719546i) q^{69} +(2.60709 + 3.93635i) q^{70} +(11.0523 + 11.0523i) q^{71} +(7.90293 + 1.67247i) q^{72} +(-9.21666 + 9.21666i) q^{73} +(6.08379 + 1.23588i) q^{74} +(-2.15475 - 0.892525i) q^{75} +(-8.75370 - 8.89727i) q^{76} +(-1.37473 - 3.31889i) q^{77} +(1.43867 - 2.13428i) q^{78} -7.49433i q^{79} +(4.90906 + 12.4191i) q^{80} -7.72465i q^{81} +(0.246071 + 0.165871i) q^{82} +(-4.15225 - 10.0244i) q^{83} +(0.758949 + 0.00617306i) q^{84} +(-14.9881 - 6.20828i) q^{85} +(-1.05246 + 5.18085i) q^{86} +(2.54106 - 2.54106i) q^{87} +(-1.86052 - 9.98888i) q^{88} +(-1.68016 - 1.68016i) q^{89} +(11.2422 - 7.44583i) q^{90} +(-1.83535 + 4.43092i) q^{91} +(1.60158 - 3.77931i) q^{92} +(0.903965 - 0.374434i) q^{93} +(-1.66075 + 0.323328i) q^{94} -20.8351 q^{95} +(2.09650 + 0.461523i) q^{96} -7.83305 q^{97} +(-1.38815 + 0.270256i) q^{98} +(-9.47871 + 3.92621i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q + 4 q^{2} + 4 q^{3} + 8 q^{5} + 12 q^{6} - 8 q^{8} + 8 q^{9}+O(q^{10}) \) 40 * q + 4 * q^2 + 4 * q^3 + 8 * q^5 + 12 * q^6 - 8 * q^8 + 8 * q^9	\( 40 q + 4 q^{2} + 4 q^{3} + 8 q^{5} + 12 q^{6} - 8 q^{8} + 8 q^{9} - 16 q^{10} + 12 q^{11} - 36 q^{12} + 8 q^{16} + 4 q^{19} - 4 q^{21} - 52 q^{22} + 16 q^{23} - 8 q^{24} - 16 q^{25} + 12 q^{26} - 32 q^{27} + 8 q^{28} + 16 q^{29} + 36 q^{30} + 24 q^{31} - 36 q^{32} + 8 q^{33} - 8 q^{34} - 8 q^{36} + 16 q^{37} - 12 q^{38} - 24 q^{39} + 36 q^{40} + 8 q^{41} + 52 q^{43} - 44 q^{44} - 64 q^{45} - 32 q^{46} - 36 q^{48} + 52 q^{50} + 16 q^{51} - 16 q^{52} - 32 q^{54} - 8 q^{55} + 12 q^{56} - 8 q^{57} + 40 q^{58} + 20 q^{59} + 52 q^{60} - 16 q^{61} - 12 q^{62} - 24 q^{63} - 48 q^{64} - 80 q^{65} - 40 q^{66} - 4 q^{67} - 4 q^{68} - 40 q^{69} + 32 q^{70} + 72 q^{72} - 24 q^{73} - 12 q^{74} + 20 q^{75} - 72 q^{76} + 4 q^{77} + 12 q^{78} + 60 q^{80} + 16 q^{82} + 4 q^{83} + 8 q^{84} - 64 q^{85} - 48 q^{86} - 32 q^{87} + 16 q^{88} + 32 q^{89} + 20 q^{90} + 108 q^{92} - 24 q^{93} + 68 q^{94} - 80 q^{95} - 40 q^{96} + 56 q^{97} + 4 q^{98} - 60 q^{99}+O(q^{100}) \) 40 * q + 4 * q^2 + 4 * q^3 + 8 * q^5 + 12 * q^6 - 8 * q^8 + 8 * q^9 - 16 * q^10 + 12 * q^11 - 36 * q^12 + 8 * q^16 + 4 * q^19 - 4 * q^21 - 52 * q^22 + 16 * q^23 - 8 * q^24 - 16 * q^25 + 12 * q^26 - 32 * q^27 + 8 * q^28 + 16 * q^29 + 36 * q^30 + 24 * q^31 - 36 * q^32 + 8 * q^33 - 8 * q^34 - 8 * q^36 + 16 * q^37 - 12 * q^38 - 24 * q^39 + 36 * q^40 + 8 * q^41 + 52 * q^43 - 44 * q^44 - 64 * q^45 - 32 * q^46 - 36 * q^48 + 52 * q^50 + 16 * q^51 - 16 * q^52 - 32 * q^54 - 8 * q^55 + 12 * q^56 - 8 * q^57 + 40 * q^58 + 20 * q^59 + 52 * q^60 - 16 * q^61 - 12 * q^62 - 24 * q^63 - 48 * q^64 - 80 * q^65 - 40 * q^66 - 4 * q^67 - 4 * q^68 - 40 * q^69 + 32 * q^70 + 72 * q^72 - 24 * q^73 - 12 * q^74 + 20 * q^75 - 72 * q^76 + 4 * q^77 + 12 * q^78 + 60 * q^80 + 16 * q^82 + 4 * q^83 + 8 * q^84 - 64 * q^85 - 48 * q^86 - 32 * q^87 + 16 * q^88 + 32 * q^89 + 20 * q^90 + 108 * q^92 - 24 * q^93 + 68 * q^94 - 80 * q^95 - 40 * q^96 + 56 * q^97 + 4 * q^98 - 60 * q^99

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