LMFDB - Embedded newform 392.2.z.a.109.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [392,2,Mod(37,392)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(392, base_ring=CyclotomicField(42))

chi = DirichletCharacter(H, H._module([0, 21, 32]))

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

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

chi := DirichletCharacter("392.37");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 392 = 2^{3} \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	392.z (of order $42$, degree $12$, 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:	$3.13013575923$
Analytic rank:	$0$
Dimension:	$648$
Relative dimension:	$54$ over $\Q(\zeta_{42})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label			109.6
Character	$\chi$	$=$	392.109
Dual form			392.2.z.a.205.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.31143 - 0.529303i) q^{2} +(0.197978 + 1.31349i) q^{3} +(1.43968 + 1.38828i) q^{4} +(0.400186 + 0.157061i) q^{5} +(0.435604 - 1.82734i) q^{6} +(2.29348 - 1.31907i) q^{7} +(-1.15321 - 2.58266i) q^{8} +(1.18064 - 0.364181i) q^{9} +(-0.441681 - 0.417794i) q^{10} +(1.11866 - 3.62661i) q^{11} +(-1.53848 + 2.16586i) q^{12} +(-3.49195 + 0.797016i) q^{13} +(-3.70592 + 0.515922i) q^{14} +(-0.127072 + 0.556737i) q^{15} +(0.145340 + 3.99736i) q^{16} +(4.88123 - 3.32797i) q^{17} +(-1.74109 - 0.147323i) q^{18} +(-1.60836 + 0.928587i) q^{19} +(0.358093 + 0.781689i) q^{20} +(2.18665 + 2.75133i) q^{21} +(-3.38662 + 4.16392i) q^{22} +(6.85261 + 4.67203i) q^{23} +(3.16400 - 2.02604i) q^{24} +(-3.52978 - 3.27516i) q^{25} +(5.00130 + 0.803074i) q^{26} +(2.44111 + 5.06903i) q^{27} +(5.13312 + 1.28496i) q^{28} +(1.43164 - 2.97283i) q^{29} +(0.461328 - 0.662860i) q^{30} +(-3.59829 + 6.23242i) q^{31} +(1.92521 - 5.31917i) q^{32} +(4.98500 + 0.751369i) q^{33} +(-8.16288 + 1.78073i) q^{34} +(1.12499 - 0.167657i) q^{35} +(2.20533 + 1.11477i) q^{36} +(0.975748 - 0.0731222i) q^{37} +(2.60075 - 0.366464i) q^{38} +(-1.73820 - 4.42887i) q^{39} +(-0.0558621 - 1.21467i) q^{40} +(-1.32567 - 1.66234i) q^{41} +(-1.41135 - 4.76556i) q^{42} +(5.52298 + 4.40443i) q^{43} +(6.64527 - 3.66813i) q^{44} +(0.529676 + 0.0396937i) q^{45} +(-6.51378 - 9.75413i) q^{46} +(-1.01171 + 0.938733i) q^{47} +(-5.22174 + 0.982291i) q^{48} +(3.52009 - 6.05053i) q^{49} +(2.89549 + 6.16345i) q^{50} +(5.33764 + 5.75261i) q^{51} +(-6.13377 - 3.70038i) q^{52} +(-2.59340 - 0.194349i) q^{53} +(-0.518291 - 7.93974i) q^{54} +(1.01727 - 1.27562i) q^{55} +(-6.05157 - 4.40210i) q^{56} +(-1.53811 - 1.92873i) q^{57} +(-3.45102 + 3.14088i) q^{58} +(9.74555 - 3.82485i) q^{59} +(-0.955851 + 0.625110i) q^{60} +(-9.85193 + 0.738300i) q^{61} +(8.01773 - 6.26877i) q^{62} +(2.22740 - 2.39260i) q^{63} +(-5.34022 + 5.95668i) q^{64} +(-1.52261 - 0.229497i) q^{65} +(-6.13976 - 3.62394i) q^{66} +(11.4770 + 6.62623i) q^{67} +(11.6476 + 1.98533i) q^{68} +(-4.78003 + 9.92583i) q^{69} +(-1.56409 - 0.375592i) q^{70} +(-13.6050 + 6.55184i) q^{71} +(-2.30208 - 2.62922i) q^{72} +(5.75662 + 5.34136i) q^{73} +(-1.31833 - 0.420572i) q^{74} +(3.60308 - 5.28475i) q^{75} +(-3.60466 - 0.895994i) q^{76} +(-2.21814 - 9.79315i) q^{77} +(-0.0646881 + 6.72818i) q^{78} +(-4.67982 - 8.10569i) q^{79} +(-0.569668 + 1.62251i) q^{80} +(-3.11231 + 2.12194i) q^{81} +(0.858640 + 2.88172i) q^{82} +(-16.5284 - 3.77249i) q^{83} +(-0.671546 + 6.99672i) q^{84} +(2.47610 - 0.565153i) q^{85} +(-4.91170 - 8.69941i) q^{86} +(4.18823 + 1.29190i) q^{87} +(-10.6563 + 1.29312i) q^{88} +(-6.38494 + 1.96949i) q^{89} +(-0.673621 - 0.332415i) q^{90} +(-6.95740 + 6.43408i) q^{91} +(3.37945 + 16.2396i) q^{92} +(-8.89863 - 3.49245i) q^{93} +(1.82366 - 0.695576i) q^{94} +(-0.789489 + 0.118996i) q^{95} +(7.36785 + 1.47568i) q^{96} -11.9331 q^{97} +(-7.81891 + 6.07163i) q^{98} -4.68913i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9} - 6 q^{10} - 47 q^{12} - 33 q^{14} - 8 q^{15} - 17 q^{16} - 26 q^{17} - 8 q^{18} - 22 q^{20} - 18 q^{22} - 26 q^{23} - 74 q^{24} - 72 q^{25}+ \cdots + 151 q^{98}+O(q^{100}) $ 648 * q - 13 * q^2 - 13 * q^4 - 6 * q^6 - 24 * q^7 - 16 * q^8 - 76 * q^9 - 6 * q^10 - 47 * q^12 - 33 * q^14 - 8 * q^15 - 17 * q^16 - 26 * q^17 - 8 * q^18 - 22 * q^20 - 18 * q^22 - 26 * q^23 - 74 * q^24 - 72 * q^25 - 12 * q^26 + 2 * q^28 - 11 * q^30 + 60 * q^31 - 13 * q^32 - 14 * q^33 - 18 * q^34 + 8 * q^36 - 46 * q^38 - 32 * q^39 + 32 * q^40 - 20 * q^41 - 36 * q^42 + 38 * q^44 - 22 * q^46 - 58 * q^47 + 28 * q^48 - 16 * q^49 - 132 * q^50 + 18 * q^52 - 37 * q^54 - 32 * q^55 + 96 * q^56 - 66 * q^57 + 100 * q^60 + 28 * q^62 - 72 * q^63 - 28 * q^64 - 36 * q^65 - 4 * q^66 - 11 * q^68 - 36 * q^70 + 60 * q^71 - 130 * q^72 - 18 * q^73 - 12 * q^74 + 11 * q^76 - 132 * q^78 - 12 * q^79 - 64 * q^80 - 58 * q^81 + 152 * q^82 - 224 * q^84 + 55 * q^86 - 8 * q^87 - 169 * q^88 - 18 * q^89 + 144 * q^90 - 54 * q^92 + 154 * q^94 - 64 * q^95 - 142 * q^96 - 96 * q^97 + 151 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/392\mathbb{Z}\right)^\times$.

$n$	$197$	$295$	$297$
$\chi(n)$	$-1$	$1$	$e\left(\frac{20}{21}\right)$

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 $

$2$	−1.31143	−	0.529303i	−0.927318	−	0.374274i
$2$	−1.31143	−	0.529303i	−0.927318	−	0.374274i
$3$	0.197978	+	1.31349i	0.114302	+	0.758347i	0.970395	+	0.241524i	$0.0776473\pi$
$3$	0.197978	+	1.31349i	0.114302	+	0.758347i	−0.856092	+	0.516823i	$0.827115\pi$
$4$	1.43968	+	1.38828i	0.719839	+	0.694142i
$5$	0.400186	+	0.157061i	0.178969	+	0.0702400i	0.453133	−	0.891443i	$-0.350306\pi$
$5$	0.400186	+	0.157061i	0.178969	+	0.0702400i	−0.274165	+	0.961683i	$0.588401\pi$
$6$	0.435604	−	1.82734i	0.177834	−	0.746009i
$7$	2.29348	−	1.31907i	0.866854	−	0.498563i
$7$	2.29348	−	1.31907i	0.866854	−	0.498563i
$8$	−1.15321	−	2.58266i	−0.407721	−	0.913107i
$9$	1.18064	−	0.364181i	0.393548	−	0.121394i
$10$	−0.441681	−	0.417794i	−0.139672	−	0.132118i
$11$	1.11866	−	3.62661i	0.337289	−	1.09346i	−0.615067	−	0.788475i	$-0.710871\pi$
$11$	1.11866	−	3.62661i	0.337289	−	1.09346i	0.952356	−	0.304989i	$-0.0986529\pi$
$12$	−1.53848	+	2.16586i	−0.444121	+	0.625229i
$13$	−3.49195	+	0.797016i	−0.968494	+	0.221052i	−0.677378	−	0.735635i	$-0.736884\pi$
$13$	−3.49195	+	0.797016i	−0.968494	+	0.221052i	−0.291116	+	0.956688i	$0.594027\pi$
$14$	−3.70592	+	0.515922i	−0.990448	+	0.137886i
$15$	−0.127072	+	0.556737i	−0.0328097	+	0.143749i
$16$	0.145340	+	3.99736i	0.0363350	+	0.999340i
$17$	4.88123	−	3.32797i	1.18387	−	0.807151i	0.198927	−	0.980014i	$-0.436254\pi$
$17$	4.88123	−	3.32797i	1.18387	−	0.807151i	0.984946	+	0.172863i	$0.0553019\pi$
$18$	−1.74109	−	0.147323i	−0.410379	−	0.0347242i
$19$	−1.60836	+	0.928587i	−0.368983	+	0.213033i	−0.673014	−	0.739630i	$-0.735001\pi$
$19$	−1.60836	+	0.928587i	−0.368983	+	0.213033i	0.304031	+	0.952662i	$0.401667\pi$
$20$	0.358093	+	0.781689i	0.0800720	+	0.174791i
$21$	2.18665	+	2.75133i	0.477167	+	0.600389i
$22$	−3.38662	+	4.16392i	−0.722029	+	0.887751i
$23$	6.85261	+	4.67203i	1.42887	+	0.974186i	0.997400	+	0.0720579i	$0.0229566\pi$
$23$	6.85261	+	4.67203i	1.42887	+	0.974186i	0.431468	+	0.902128i	$0.357996\pi$
$24$	3.16400	−	2.02604i	0.645848	−	0.413564i
$25$	−3.52978	−	3.27516i	−0.705956	−	0.655031i
$26$	5.00130	+	0.803074i	0.980836	+	0.157496i
$27$	2.44111	+	5.06903i	0.469793	+	0.975535i
$28$	5.13312	+	1.28496i	0.970068	+	0.242834i
$29$	1.43164	−	2.97283i	0.265849	−	0.552041i	−0.724722	−	0.689041i	$-0.758032\pi$
$29$	1.43164	−	2.97283i	0.265849	−	0.552041i	0.990571	+	0.137000i	$0.0437462\pi$
$30$	0.461328	−	0.662860i	0.0842265	−	0.121021i
$31$	−3.59829	+	6.23242i	−0.646272	+	1.11938i	0.337735	+	0.941241i	$0.390339\pi$
$31$	−3.59829	+	6.23242i	−0.646272	+	1.11938i	−0.984006	+	0.178134i	$0.942994\pi$
$32$	1.92521	−	5.31917i	0.340332	−	0.940305i
$33$	4.98500	+	0.751369i	0.867778	+	0.130796i
$34$	−8.16288	+	1.78073i	−1.39992	+	0.305393i
$35$	1.12499	−	0.167657i	0.190159	−	0.0283393i
$36$	2.20533	+	1.11477i	0.367555	+	0.185794i
$37$	0.975748	−	0.0731222i	0.160412	−	0.0120212i	0.00571805	−	0.999984i	$-0.498180\pi$
$37$	0.975748	−	0.0731222i	0.160412	−	0.0120212i	0.154694	+	0.987962i	$0.450561\pi$
$38$	2.60075	−	0.366464i	0.421897	−	0.0594483i
$39$	−1.73820	−	4.42887i	−0.278336	−	0.709187i
$40$	−0.0558621	−	1.21467i	−0.00883257	−	0.192056i
$41$	−1.32567	−	1.66234i	−0.207035	−	0.259614i	0.667463	−	0.744643i	$-0.267380\pi$
$41$	−1.32567	−	1.66234i	−0.207035	−	0.259614i	−0.874498	+	0.485029i	$0.838809\pi$
$42$	−1.41135	−	4.76556i	−0.217776	−	0.735342i
$43$	5.52298	+	4.40443i	0.842246	+	0.671669i	0.946437	−	0.322889i	$-0.104654\pi$
$43$	5.52298	+	4.40443i	0.842246	+	0.671669i	−0.104191	+	0.994557i	$0.533225\pi$
$44$	6.64527	−	3.66813i	1.00181	−	0.552991i
$45$	0.529676	+	0.0396937i	0.0789595	+	0.00591719i
$46$	−6.51378	−	9.75413i	−0.960404	−	1.43817i
$47$	−1.01171	+	0.938733i	−0.147574	+	0.136928i	−0.750505	−	0.660865i	$-0.770190\pi$
$47$	−1.01171	+	0.938733i	−0.147574	+	0.136928i	0.602931	+	0.797793i	$0.293999\pi$
$48$	−5.22174	+	0.982291i	−0.753693	+	0.141781i
$49$	3.52009	−	6.05053i	0.502870	−	0.864362i
$50$	2.89549	+	6.16345i	0.409485	+	0.871643i
$51$	5.33764	+	5.75261i	0.747420	+	0.805527i
$52$	−6.13377	−	3.70038i	−0.850601	−	0.513150i
$53$	−2.59340	−	0.194349i	−0.356231	−	0.0266958i	−0.104587	−	0.994516i	$-0.533352\pi$
$53$	−2.59340	−	0.194349i	−0.356231	−	0.0266958i	−0.251644	+	0.967820i	$0.580971\pi$
$54$	−0.518291	−	7.93974i	−0.0705305	−	1.08046i
$55$	1.01727	−	1.27562i	0.137169	−	0.172005i
$56$	−6.05157	−	4.40210i	−0.808675	−	0.588256i
$57$	−1.53811	−	1.92873i	−0.203728	−	0.255467i
$58$	−3.45102	+	3.14088i	−0.453141	+	0.412417i
$59$	9.74555	−	3.82485i	1.26876	−	0.497953i	0.367015	−	0.930215i	$-0.380380\pi$
$59$	9.74555	−	3.82485i	1.26876	−	0.497953i	0.901748	+	0.432263i	$0.142285\pi$
$60$	−0.955851	+	0.625110i	−0.123400	+	0.0807014i
$61$	−9.85193	+	0.738300i	−1.26141	+	0.0945297i	−0.688590	−	0.725151i	$-0.741770\pi$
$61$	−9.85193	+	0.738300i	−1.26141	+	0.0945297i	−0.572821	+	0.819681i	$0.694151\pi$
$62$	8.01773	−	6.26877i	1.01825	−	0.796135i
$63$	2.22740	−	2.39260i	0.280626	−	0.301439i
$64$	−5.34022	+	5.95668i	−0.667528	+	0.744585i
$65$	−1.52261	−	0.229497i	−0.188857	−	0.0284656i
$66$	−6.13976	−	3.62394i	−0.755753	−	0.446076i
$67$	11.4770	+	6.62623i	1.40214	+	0.809523i	0.994612	−	0.103671i	$-0.0330589\pi$
$67$	11.4770	+	6.62623i	1.40214	+	0.809523i	0.407524	+	0.913194i	$0.366392\pi$
$68$	11.6476	+	1.98533i	1.41247	+	0.240757i
$69$	−4.78003	+	9.92583i	−0.575448	+	1.19493i
$70$	−1.56409	−	0.375592i	−0.186944	−	0.0448918i
$71$	−13.6050	+	6.55184i	−1.61462	+	0.777560i	−0.999937	−	0.0112133i	$-0.996431\pi$
$71$	−13.6050	+	6.55184i	−1.61462	+	0.777560i	−0.614684	+	0.788774i	$0.710716\pi$
$72$	−2.30208	−	2.62922i	−0.271303	−	0.309857i
$73$	5.75662	+	5.34136i	0.673761	+	0.625159i	0.940974	−	0.338478i	$-0.109912\pi$
$73$	5.75662	+	5.34136i	0.673761	+	0.625159i	−0.267213	+	0.963638i	$0.586103\pi$
$74$	−1.31833	−	0.420572i	−0.153252	−	0.0488905i
$75$	3.60308	−	5.28475i	0.416048	−	0.610231i
$76$	−3.60466	−	0.895994i	−0.413483	−	0.102778i
$77$	−2.21814	−	9.79315i	−0.252780	−	1.11603i
$78$	−0.0646881	+	6.72818i	−0.00732448	+	0.761816i
$79$	−4.67982	−	8.10569i	−0.526521	−	0.911962i	−0.999522	−	0.0308999i	$-0.990163\pi$
$79$	−4.67982	−	8.10569i	−0.526521	−	0.911962i	0.473001	−	0.881062i	$-0.343171\pi$
$80$	−0.569668	+	1.62251i	−0.0636908	+	0.181403i
$81$	−3.11231	+	2.12194i	−0.345812	+	0.235771i
$82$	0.858640	+	2.88172i	0.0948209	+	0.318233i
$83$	−16.5284	−	3.77249i	−1.81422	−	0.414085i	−0.825570	−	0.564300i	$-0.809146\pi$
$83$	−16.5284	−	3.77249i	−1.81422	−	0.414085i	−0.988653	+	0.150215i	$0.952003\pi$
$84$	−0.671546	+	6.99672i	−0.0732717	+	0.763404i
$85$	2.47610	−	0.565153i	0.268570	−	0.0612995i
$86$	−4.91170	−	8.69941i	−0.529642	−	0.938081i
$87$	4.18823	+	1.29190i	0.449025	+	0.138506i
$88$	−10.6563	+	1.29312i	−1.13597	+	0.137847i
$89$	−6.38494	+	1.96949i	−0.676802	+	0.208766i	−0.614055	−	0.789264i	$-0.710463\pi$
$89$	−6.38494	+	1.96949i	−0.676802	+	0.208766i	−0.0627476	+	0.998029i	$0.519986\pi$
$90$	−0.673621	−	0.332415i	−0.0710059	−	0.0350396i
$91$	−6.95740	+	6.43408i	−0.729334	+	0.674475i
$92$	3.37945	+	16.2396i	0.352332	+	1.69309i
$93$	−8.89863	−	3.49245i	−0.922745	−	0.362151i
$94$	1.82366	−	0.695576i	0.188096	−	0.0717432i
$95$	−0.789489	+	0.118996i	−0.0809999	+	0.0122088i
$96$	7.36785	+	1.47568i	0.751978	+	0.150611i
$97$	−11.9331			−1.21162			−0.605811	−	0.795608i	$-0.707151\pi$
$97$	−11.9331			−1.21162			−0.605811	+	0.795608i	$0.707151\pi$
$98$	−7.81891	+	6.07163i	−0.789829	+	0.613327i
$99$		−	4.68913i		−	0.471276i
$100$	−0.534898	−	9.61550i	−0.0534898	−	0.961550i
$101$	1.50915	+	10.0126i	0.150167	+	0.996290i	0.929272	+	0.369397i	$0.120436\pi$
$101$	1.50915	+	10.0126i	0.150167	+	0.996290i	−0.779105	+	0.626893i	$0.784326\pi$
$102$	−3.95505	−	10.3694i	−0.391609	−	1.02672i
$103$	−1.75717	+	4.47721i	−0.173139	+	0.441152i	−0.990933	−	0.134360i	$-0.957102\pi$
$103$	−1.75717	+	4.47721i	−0.173139	+	0.441152i	0.817793	+	0.575512i	$0.195197\pi$
$104$	6.08537	+	8.09939i	0.596719	+	0.794211i
$105$	0.442941	+	1.44448i	0.0432266	+	0.140967i
$106$	3.29819	+	1.62757i	0.320348	+	0.158083i
$107$	1.01911	+	3.30387i	0.0985210	+	0.319397i	0.991394	−	0.130911i	$-0.0417903\pi$
$107$	1.01911	+	3.30387i	0.0985210	+	0.319397i	−0.892873	+	0.450308i	$0.851314\pi$
$108$	−3.52283	+	10.6867i	−0.338984	+	1.02833i
$109$	2.62257	−	8.50215i	0.251196	−	0.814358i	−0.738881	−	0.673836i	$-0.764646\pi$
$109$	2.62257	−	8.50215i	0.251196	−	0.814358i	0.990077	−	0.140522i	$-0.0448782\pi$
$110$	−2.00927	+	1.13444i	−0.191576	+	0.108164i
$111$	0.289222	+	1.26716i	0.0274517	+	0.120274i
$112$	5.60614	+	8.97614i	0.529731	+	0.848166i
$113$	−0.499667	+	2.18918i	−0.0470047	+	0.205941i	−0.992977	−	0.118306i	$-0.962254\pi$
$113$	−0.499667	+	2.18918i	−0.0470047	+	0.205941i	0.945973	+	0.324247i	$0.105111\pi$
$114$	0.996239	+	3.34352i	0.0933063	+	0.313149i
$115$	2.00852	+	2.94596i	0.187296	+	0.274713i
$116$	6.18823	−	2.29239i	0.574563	−	0.212843i
$117$	−3.83250	+	2.21269i	−0.354315	+	0.204564i
$118$	−14.8051	−	0.142343i	−1.36292	−	0.0131038i
$119$	6.80517	−	14.0713i	0.623829	−	1.28992i
$120$	1.58440	−	0.313851i	0.144635	−	0.0286506i
$121$	−2.81228	−	1.91738i	−0.255661	−	0.174307i
$122$	13.3109	+	4.24643i	1.20511	+	0.384454i
$123$	1.92102	−	2.07037i	0.173213	−	0.186679i
$124$	−13.8327	+	3.97723i	−1.24222	+	0.357165i
$125$	−1.83081	−	3.80171i	−0.163753	−	0.340036i
$126$	−4.18748	+	1.95874i	−0.373051	+	0.174499i
$127$	3.99994	+	1.92627i	0.354937	+	0.170929i	0.602852	−	0.797853i	$-0.294031\pi$
$127$	3.99994	+	1.92627i	0.354937	+	0.170929i	−0.247915	+	0.968782i	$0.579745\pi$
$128$	10.1562	−	4.98515i	0.897689	−	0.440629i
$129$	−4.69177	+	8.12638i	−0.413087	+	0.715488i
$130$	1.87532	+	1.10689i	0.164476	+	0.0970808i
$131$	1.58508	−	10.5163i	0.138489	−	0.918817i	−0.806387	−	0.591388i	$-0.798580\pi$
$131$	1.58508	−	10.5163i	0.138489	−	0.918817i	0.944876	−	0.327428i	$-0.106182\pi$
$132$	6.13368	+	8.00233i	0.533869	+	0.696513i
$133$	−2.46387	+	4.25124i	−0.213644	+	0.368629i
$134$	−11.5439	−	14.7646i	−0.997243	−	1.27547i
$135$	0.180751	+	2.41196i	0.0155566	+	0.207588i
$136$	−14.2241	−	8.76871i	−1.21970	−	0.751910i
$137$	−5.92813	−	15.1046i	−0.506474	−	1.29048i	−0.924202	−	0.381903i	$-0.875269\pi$
$137$	−5.92813	−	15.1046i	−0.506474	−	1.29048i	0.417728	−	0.908572i	$-0.362827\pi$
$138$	11.5224	−	10.4869i	0.980854	−	0.892705i
$139$	−4.59929	+	3.66781i	−0.390106	+	0.311100i	−0.798828	−	0.601560i	$-0.794546\pi$
$139$	−4.59929	+	3.66781i	−0.390106	+	0.311100i	0.408721	+	0.912659i	$0.365975\pi$
$140$	1.85238	+	1.32044i	0.156555	+	0.111597i
$141$	−1.43332	−	1.14303i	−0.120707	−	0.0962607i
$142$	21.3099	−	1.39107i	1.78829	−	0.116736i
$143$	−1.01585	+	13.5556i	−0.0849495	+	1.13357i
$144$	1.62736	+	4.66653i	0.135613	+	0.388877i
$145$	1.03984	−	0.964830i	0.0863540	−	0.0801248i
$146$	−4.72218	−	10.0518i	−0.390811	−	0.831893i
$147$	8.64424	+	3.42575i	0.712965	+	0.282552i
$148$	1.50628	+	1.24934i	0.123815	+	0.102695i
$149$	−16.3671	−	17.6396i	−1.34085	−	1.44509i	−0.794095	−	0.607794i	$-0.792055\pi$
$149$	−16.3671	−	17.6396i	−1.34085	−	1.44509i	−0.546752	−	0.837295i	$-0.684136\pi$
$150$	−7.52241	+	5.02344i	−0.614203	+	0.410162i
$151$	−0.0116411	+	0.155339i	−0.000947337	+	0.0126413i	−0.997657	−	0.0684079i	$-0.978208\pi$
$151$	−0.0116411	+	0.155339i	−0.000947337	+	0.0126413i	0.996710	+	0.0810493i	$0.0258271\pi$
$152$	4.25300	+	3.08299i	0.344964	+	0.250063i
$153$	4.55102	−	5.70680i	0.367928	−	0.461367i
$154$	−2.27462	+	14.0171i	−0.183294	+	1.12953i
$155$	−2.41886	+	1.92897i	−0.194287	+	0.154939i
$156$	3.64608	−	8.78927i	0.291920	−	0.703705i
$157$	0.336258	−	0.131972i	0.0268363	−	0.0105325i	−0.351885	−	0.936043i	$-0.614459\pi$
$157$	0.336258	−	0.131972i	0.0268363	−	0.0105325i	0.378721	+	0.925511i	$0.376364\pi$
$158$	1.84688	+	13.1071i	0.146930	+	1.04274i
$159$	−0.258159	−	3.44490i	−0.0204734	−	0.273198i
$160$	1.60588	−	1.82628i	0.126956	−	0.144380i
$161$	21.8791	+	1.67611i	1.72431	+	0.132096i
$162$	5.20472	−	1.13541i	0.408921	−	0.0892062i
$163$	1.35487	−	8.98897i	0.106122	−	0.704070i	−0.870983	−	0.491312i	$-0.836517\pi$
$163$	1.35487	−	8.98897i	0.106122	−	0.704070i	0.977105	−	0.212758i	$-0.0682445\pi$
$164$	0.399259	−	4.23364i	0.0311769	−	0.330592i
$165$	1.87692	+	1.08364i	0.146118	+	0.0843612i
$166$	19.6789	+	13.6959i	1.52738	+	1.06300i
$167$	8.96244	+	4.31608i	0.693534	+	0.333989i	0.747227	−	0.664569i	$-0.231385\pi$
$167$	8.96244	+	4.31608i	0.693534	+	0.333989i	−0.0536926	+	0.998558i	$0.517099\pi$
$168$	4.58406	−	8.82022i	0.353668	−	0.680495i
$169$	−0.154081	+	0.0742013i	−0.0118524	+	0.00570779i
$170$	−3.54636	−	0.569449i	−0.271993	−	0.0436747i
$171$	−1.56073	+	1.68207i	−0.119352	+	0.128631i
$172$	1.83671	+	14.0084i	0.140048	+	1.06813i
$173$	4.64545	−	6.81362i	0.353187	−	0.518030i	−0.607997	−	0.793939i	$-0.708027\pi$
$173$	4.64545	−	6.81362i	0.353187	−	0.518030i	0.961184	+	0.275910i	$0.0889791\pi$
$174$	−4.80875	−	3.91107i	−0.364550	−	0.296498i
$175$	−12.4156	−	2.85547i	−0.938534	−	0.215853i
$176$	14.6595	+	3.94460i	1.10500	+	0.297335i
$177$	6.95332	+	12.0435i	0.522643	+	0.905245i
$178$	9.41583	+	0.796722i	0.705747	+	0.0597168i
$179$	−3.65409	−	5.35956i	−0.273119	−	0.400593i	0.665034	−	0.746813i	$-0.268417\pi$
$179$	−3.65409	−	5.35956i	−0.273119	−	0.400593i	−0.938153	+	0.346221i	$0.887465\pi$
$180$	0.707457	+	0.792487i	0.0527307	+	0.0590685i
$181$	18.8643	+	4.30565i	1.40217	+	0.320037i	0.855714	−	0.517450i	$-0.173118\pi$
$181$	18.8643	+	4.30565i	1.40217	+	0.320037i	0.546458	+	0.837486i	$0.315976\pi$
$182$	12.5297	−	4.75525i	0.928763	−	0.352483i
$183$	−2.92021	−	12.7943i	−0.215868	−	0.945782i
$184$	4.16376	−	23.0858i	0.306957	−	1.70191i
$185$	0.401966	+	0.123990i	0.0295531	+	0.00911593i
$186$	9.82133	+	9.29017i	0.720135	+	0.681188i
$187$	−6.60880	−	21.4252i	−0.483283	−	1.56677i
$188$	−2.75977	−	0.0530725i	−0.201277	−	0.00387071i
$189$	12.2851	+	8.40570i	0.893607	+	0.611425i
$190$	1.09834	+	0.261824i	0.0796821	+	0.0189947i
$191$	−1.04490	+	2.66235i	−0.0756060	+	0.192641i	−0.963680	−	0.267059i	$-0.913948\pi$
$191$	−1.04490	+	2.66235i	−0.0756060	+	0.192641i	0.888074	+	0.459700i	$0.152043\pi$
$192$	−8.88131	−	5.83507i	−0.640953	−	0.421110i
$193$	−10.4825	+	1.57999i	−0.754549	+	0.113730i	−0.515042	−	0.857165i	$-0.672224\pi$
$193$	−10.4825	+	1.57999i	−0.754549	+	0.113730i	−0.239506	+	0.970895i	$0.576986\pi$
$194$	15.6494	+	6.31622i	1.12356	+	0.453478i
$195$		−	2.04538i		−	0.146473i
$196$	13.4676	−	3.82393i	0.961975	−	0.273138i
$197$		−	16.2224i		−	1.15580i	−0.816109	−	0.577898i	$-0.803873\pi$
$197$		−	16.2224i		−	1.15580i	0.816109	−	0.577898i	$-0.196127\pi$
$198$	−2.48197	+	6.14945i	−0.176386	+	0.437022i
$199$	1.21310	−	0.182846i	0.0859945	−	0.0129616i	−0.105904	−	0.994376i	$-0.533774\pi$
$199$	1.21310	−	0.182846i	0.0859945	−	0.0129616i	0.191899	+	0.981415i	$0.438536\pi$
$200$	−4.38803	+	12.8931i	−0.310281	+	0.911683i
$201$	−6.43134	+	16.3868i	−0.453632	+	1.15584i
$202$	3.32055	−	13.9296i	0.233633	−	0.980081i
$203$	−0.637945	−	8.70656i	−0.0447749	−	0.611081i
$204$	−0.301771	+	15.6921i	−0.0211282	+	1.09866i
$205$	−0.269426	−	0.873458i	−0.0188175	−	0.0610049i
$206$	4.67420	−	4.94145i	0.325667	−	0.344287i
$207$	9.79196	+	3.02042i	0.680588	+	0.209934i
$208$	−3.69348	−	13.8428i	−0.256097	−	0.959823i
$209$	1.56841	+	6.87167i	0.108489	+	0.475324i
$210$	0.183684	−	2.12878i	0.0126754	−	0.146900i
$211$	−15.4744	−	3.53194i	−1.06530	−	0.243149i	−0.346278	−	0.938132i	$-0.612555\pi$
$211$	−15.4744	−	3.53194i	−1.06530	−	0.243149i	−0.719026	+	0.694983i	$0.755412\pi$
$212$	−3.46385	−	3.88018i	−0.237898	−	0.266492i
$213$	−11.2993	−	16.5730i	−0.774215	−	1.13557i
$214$	0.412261	−	4.87220i	0.0281816	−	0.333057i
$215$	1.51845	+	2.63004i	0.103558	+	0.179367i
$216$	10.2764	−	12.1502i	0.699223	−	0.826716i
$217$	−0.0315847	+	19.0403i	−0.00214411	+	1.29254i
$218$	−7.93951	+	9.76181i	−0.537732	+	0.661153i
$219$	−5.87617	+	8.61876i	−0.397075	+	0.582402i
$220$	3.23547	−	0.424218i	0.218135	−	0.0286008i
$221$	−14.3926	+	15.5115i	−0.968151	+	1.04342i
$222$	0.291420	−	1.81488i	0.0195589	−	0.121807i
$223$	−13.9259	+	6.70638i	−0.932550	+	0.449093i	−0.837535	−	0.546383i	$-0.816004\pi$
$223$	−13.9259	+	6.70638i	−0.932550	+	0.449093i	−0.0950150	+	0.995476i	$0.530290\pi$
$224$	−2.60094	−	14.7389i	−0.173783	−	0.984784i
$225$	−5.36016	−	2.58132i	−0.357344	−	0.172088i
$226$	1.81402	−	2.60648i	0.120667	−	0.173380i
$227$	19.5630	+	11.2947i	1.29845	+	0.749658i	0.980135	−	0.198329i	$-0.0635515\pi$
$227$	19.5630	+	11.2947i	1.29845	+	0.749658i	0.318310	+	0.947987i	$0.396885\pi$
$228$	0.463241	−	4.91209i	0.0306789	−	0.325311i
$229$	−1.52548	+	10.1209i	−0.100806	+	0.668806i	0.880167	+	0.474664i	$0.157430\pi$
$229$	−1.52548	+	10.1209i	−0.100806	+	0.668806i	−0.980973	+	0.194142i	$0.937808\pi$
$230$	−1.07472	−	4.92653i	−0.0708652	−	0.324846i
$231$	12.4241	−	4.85234i	0.817447	−	0.319260i
$232$	−9.32878	−	0.269141i	−0.612464	−	0.0176700i
$233$	0.802002	+	10.7020i	0.0525409	+	0.701109i	0.959826	+	0.280594i	$0.0905315\pi$
$233$	0.802002	+	10.7020i	0.0525409	+	0.701109i	−0.907286	+	0.420515i	$0.861849\pi$
$234$	6.19723	−	0.873233i	0.405125	−	0.0570850i
$235$	−0.552312	+	0.216767i	−0.0360289	+	0.0141403i
$236$	19.3404	+	8.02304i	1.25895	+	0.522255i
$237$	9.72029	−	7.75167i	0.631401	−	0.503525i
$238$	−16.3725	+	14.8515i	−1.06127	+	0.962681i
$239$	−15.2056	+	19.0672i	−0.983567	+	1.23335i	−0.0111906	+	0.999937i	$0.503562\pi$
$239$	−15.2056	+	19.0672i	−0.983567	+	1.23335i	−0.972377	+	0.233417i	$0.925009\pi$
$240$	−2.24395	−	0.427035i	−0.144846	−	0.0275650i
$241$	1.78596	−	23.8320i	0.115044	−	1.53515i	−0.579063	−	0.815283i	$-0.696582\pi$
$241$	1.78596	−	23.8320i	0.115044	−	1.53515i	0.694107	−	0.719872i	$-0.255799\pi$
$242$	2.67322	+	4.00304i	0.171841	+	0.257325i
$243$	8.07703	+	8.70497i	0.518142	+	0.558424i
$244$	−15.2086	−	12.6144i	−0.973629	−	0.807551i
$245$	2.35900	−	1.86847i	0.150711	−	0.119372i
$246$	−3.61513	+	1.69833i	−0.230492	+	0.108282i
$247$	4.87622	−	4.52447i	0.310267	−	0.287885i
$248$	20.2458	+	2.10587i	1.28561	+	0.133723i
$249$	1.68290	−	22.4568i	0.106650	−	1.42314i
$250$	0.388713	+	5.95472i	0.0245844	+	0.376609i
$251$	0.752680	+	0.600242i	0.0475088	+	0.0378870i	0.646956	−	0.762527i	$-0.276042\pi$
$251$	0.752680	+	0.600242i	0.0475088	+	0.0378870i	−0.599448	+	0.800414i	$0.704613\pi$
$252$	6.52834	−	0.352301i	0.411247	−	0.0221929i
$253$	24.6094	−	19.6253i	1.54718	−	1.23383i
$254$	−4.22604	−	4.64334i	−0.265165	−	0.291349i
$255$	1.23254	+	3.14045i	0.0771845	+	0.196663i
$256$	−15.9578	+	1.16195i	−0.997360	+	0.0726220i
$257$	0.316145	+	4.21866i	0.0197206	+	0.263153i	0.998346	+	0.0574998i	$0.0183128\pi$
$257$	0.316145	+	4.21866i	0.0197206	+	0.263153i	−0.978625	+	0.205653i	$0.934068\pi$
$258$	10.4542	−	8.17378i	0.650851	−	0.508877i
$259$	2.14141	−	1.45479i	0.133060	−	0.0903961i
$260$	−1.87346	−	2.44422i	−0.116187	−	0.151584i
$261$	0.607610	−	4.03123i	0.0376101	−	0.249527i
$262$	−7.64504	+	12.9524i	−0.472312	+	0.800203i
$263$	1.91887	−	3.32358i	0.118323	−	0.204941i	−0.800780	−	0.598958i	$-0.795582\pi$
$263$	1.91887	−	3.32358i	0.118323	−	0.204941i	0.919103	+	0.394017i	$0.128915\pi$
$264$	−3.80822	−	13.7410i	−0.234380	−	0.845702i
$265$	−1.00732	−	0.485099i	−0.0618791	−	0.0297994i
$266$	5.48137	−	4.27106i	0.336085	−	0.261875i
$267$	−3.85099	−	7.99667i	−0.235677	−	0.489388i
$268$	7.32405	+	25.4729i	0.447387	+	1.55601i
$269$	−20.7734	+	22.3884i	−1.26658	+	1.36505i	−0.365844	+	0.930676i	$0.619220\pi$
$269$	−20.7734	+	22.3884i	−1.26658	+	1.36505i	−0.900734	+	0.434371i	$0.856971\pi$
$270$	1.03961	−	3.25878i	0.0632689	−	0.198323i
$271$	−3.21434	−	2.19150i	−0.195257	−	0.133124i	0.461745	−	0.887013i	$-0.347223\pi$
$271$	−3.21434	−	2.19150i	−0.195257	−	0.133124i	−0.657002	+	0.753889i	$0.728176\pi$
$272$	14.0125	+	19.0284i	0.849634	+	1.15376i
$273$	−9.82854	−	7.86471i	−0.594851	−	0.475994i
$274$	−0.220618	+	22.9464i	−0.0133280	+	1.38624i
$275$	−15.8263	+	9.13734i	−0.954364	+	0.551003i
$276$	−20.6616	+	7.65396i	−1.24368	+	0.460714i
$277$	13.0300	+	19.1115i	0.782895	+	1.14830i	0.985606	+	0.169057i	$0.0540723\pi$
$277$	13.0300	+	19.1115i	0.782895	+	1.14830i	−0.202711	+	0.979239i	$0.564975\pi$
$278$	7.97301	−	2.37565i	0.478189	−	0.142482i
$279$	−1.97857	+	8.66870i	−0.118454	+	0.518981i
$280$	−1.73035	−	2.71213i	−0.103408	−	0.162081i
$281$	−0.373388	−	1.63592i	−0.0222745	−	0.0975908i	0.962569	−	0.271037i	$-0.0873667\pi$
$281$	−0.373388	−	1.63592i	−0.0222745	−	0.0975908i	−0.984843	+	0.173447i	$0.944510\pi$
$282$	1.27468	+	2.25766i	0.0759061	+	0.134442i
$283$	−5.25221	+	17.0273i	−0.312212	+	1.01217i	0.654449	+	0.756106i	$0.272901\pi$
$283$	−5.25221	+	17.0273i	−0.312212	+	1.01217i	−0.966661	+	0.256060i	$0.917576\pi$
$284$	−28.6827	−	9.45511i	−1.70200	−	0.561057i
$285$	−0.312602	−	1.01343i	−0.0185170	−	0.0600305i
$286$	8.50720	−	17.2394i	0.503041	−	1.01939i
$287$	−5.23315	−	2.06388i	−0.308903	−	0.121827i
$288$	0.335851	−	6.98117i	0.0197902	−	0.411370i
$289$	6.54027	−	16.6643i	0.384722	−	0.980255i
$290$	−1.87436	+	0.714913i	−0.110066	+	0.0419812i
$291$	−2.36248	−	15.6741i	−0.138491	−	0.918830i
$292$	0.872350	+	15.6817i	0.0510504	+	0.917700i
$293$			16.1698i			0.944650i	0.881425	+	0.472325i	$0.156585\pi$
$293$			16.1698i			0.944650i	−0.881425	+	0.472325i	$0.843415\pi$
$294$	−9.52303	−	9.06805i	−0.555394	−	0.528859i
$295$	4.50077			0.262045
$296$	−1.31409	−	2.43570i	−0.0763800	−	0.141572i
$297$	21.1142	−	3.18245i	1.22517	−	0.184664i
$298$	12.1276	+	31.7961i	0.702533	+	1.84190i
$299$	−27.6527	−	10.8529i	−1.59920	−	0.627639i
$300$	12.5240	−	2.60624i	0.723074	−	0.150471i
$301$	18.4766	+	2.81625i	1.06497	+	0.162326i
$302$	0.0974879	−	0.197554i	0.00560980	−	0.0113680i
$303$	−12.8527	+	3.96453i	−0.738369	+	0.227757i
$304$	−3.94566	−	6.29423i	−0.226299	−	0.360999i
$305$	−4.05857	−	1.25190i	−0.232393	−	0.0716837i
$306$	−8.98895	+	5.07518i	−0.513864	+	0.290129i
$307$	−22.1477	+	5.05506i	−1.26403	+	0.288507i	−0.801447	−	0.598066i	$-0.795936\pi$
$307$	−22.1477	+	5.05506i	−1.26403	+	0.288507i	−0.462587	+	0.886574i	$0.653079\pi$
$308$	10.4023	−	17.1784i	0.592724	−	0.978829i
$309$	−6.22867	−	1.42165i	−0.354337	−	0.0808750i
$310$	4.19316	−	1.24940i	0.238156	−	0.0709611i
$311$	17.9489	−	12.2373i	1.01779	−	0.693915i	0.0651028	−	0.997879i	$-0.479262\pi$
$311$	17.9489	−	12.2373i	1.01779	−	0.693915i	0.952684	+	0.303963i	$0.0983101\pi$
$312$	−9.43375	+	9.59660i	−0.534081	+	0.543300i
$313$	4.16084	+	7.20678i	0.235185	+	0.407352i	0.959326	−	0.282300i	$-0.0910972\pi$
$313$	4.16084	+	7.20678i	0.235185	+	0.407352i	−0.724142	+	0.689651i	$0.757764\pi$
$314$	−0.510831	−	0.00491139i	−0.0288279	−	0.000277166i
$315$	1.26716	−	0.607645i	0.0713964	−	0.0342369i
$316$	4.51556	−	18.1665i	0.254020	−	1.02195i
$317$	1.15606	−	1.69563i	0.0649308	−	0.0952359i	−0.792400	−	0.610002i	$-0.791169\pi$
$317$	1.15606	−	1.69563i	0.0649308	−	0.0952359i	0.857331	+	0.514766i	$0.172121\pi$
$318$	−1.48484	+	4.65437i	−0.0832655	+	0.261004i
$319$	−9.17978	−	8.51759i	−0.513969	−	0.476893i
$320$	−3.07265	+	1.54504i	−0.171766	+	0.0863702i
$321$	−4.13785	+	1.99269i	−0.230953	+	0.111221i
$322$	−27.8056	−	13.7788i	−1.54955	−	0.767860i
$323$	−4.76047	+	9.88523i	−0.264880	+	0.550029i
$324$	−7.42658	−	1.26586i	−0.412588	−	0.0703258i
$325$	14.9362	+	8.62341i	0.828510	+	0.478341i
$326$	−6.53470	+	11.0712i	−0.361923	+	0.613179i
$327$	11.6867	+	1.76149i	0.646278	+	0.0974107i
$328$	−2.76448	+	5.34078i	−0.152643	+	0.294895i
$329$	−1.08209	+	3.48749i	−0.0596573	+	0.192271i
$330$	−1.88787	−	2.41457i	−0.103924	−	0.132918i
$331$	−20.5534	+	1.54027i	−1.12972	+	0.0846606i	−0.626444	−	0.779466i	$-0.715490\pi$
$331$	−20.5534	+	1.54027i	−1.12972	+	0.0846606i	−0.503274	+	0.864127i	$0.667871\pi$
$332$	−18.5582	−	28.3772i	−1.01851	−	1.55740i
$333$	1.12538	−	0.441680i	0.0616706	−	0.0242039i
$334$	−9.46906	−	10.4041i	−0.518124	−	0.569285i
$335$	3.55220	+	4.45432i	0.194077	+	0.243365i
$336$	−10.6802	+	9.14071i	−0.582654	+	0.498667i
$337$	−7.66886	+	9.61644i	−0.417749	+	0.523841i	−0.945528	−	0.325541i	$-0.894454\pi$
$337$	−7.66886	+	9.61644i	−0.417749	+	0.523841i	0.527779	+	0.849382i	$0.323025\pi$
$338$	0.241340	−	0.0157542i	0.0131272	−	0.000856918i
$339$	−2.97440	−	0.222901i	−0.161547	−	0.0121063i
$340$	4.34937	+	2.62389i	0.235878	+	0.142300i
$341$	18.5773	+	20.0216i	1.00602	+	1.08423i
$342$	2.93710	−	1.37981i	0.158820	−	0.0746114i
$343$	0.0921656	−	18.5200i	0.00497647	−	0.999988i
$344$	5.00598	−	19.3432i	0.269904	−	1.04291i
$345$	−3.47187	+	3.22142i	−0.186919	+	0.173435i
$346$	−9.69862	+	6.47671i	−0.521401	+	0.348190i
$347$	25.2991	+	1.89591i	1.35813	+	0.101778i	0.733790	−	0.679377i	$-0.237750\pi$
$347$	25.2991	+	1.89591i	1.35813	+	0.101778i	0.624338	+	0.781154i	$0.285369\pi$
$348$	4.23618	+	7.67437i	0.227083	+	0.411389i
$349$	17.5051	+	13.9598i	0.937025	+	0.747252i	0.967655	−	0.252278i	$-0.0811799\pi$
$349$	17.5051	+	13.9598i	0.937025	+	0.747252i	−0.0306299	+	0.999531i	$0.509751\pi$
$350$	14.7708	+	10.3164i	0.789532	+	0.551433i
$351$	−12.5644	−	15.7552i	−0.670636	−	0.840951i
$352$	−17.1369	−	12.9323i	−0.913400	−	0.689296i
$353$	1.25126	+	3.18816i	0.0665980	+	0.169689i	0.960298	−	0.278976i	$-0.0899950\pi$
$353$	1.25126	+	3.18816i	0.0665980	+	0.169689i	−0.893700	+	0.448665i	$0.851900\pi$
$354$	−2.74410	−	19.4746i	−0.145847	−	1.03506i
$355$	−6.47359	+	0.485128i	−0.343582	+	0.0257479i
$356$	−11.9265	−	6.02867i	−0.632101	−	0.319519i
$357$	19.8299	+	6.15275i	1.04951	+	0.325638i
$358$	1.95524	+	8.96279i	0.103337	+	0.473698i
$359$	−1.84365	−	0.277886i	−0.0973042	−	0.0146662i	0.100210	−	0.994966i	$-0.468049\pi$
$359$	−1.84365	−	0.277886i	−0.0973042	−	0.0146662i	−0.197514	+	0.980300i	$0.563287\pi$
$360$	−0.508312	−	1.41375i	−0.0267904	−	0.0745110i
$361$	−7.77545	+	13.4675i	−0.409234	+	0.708815i
$362$	−22.4601	−	15.6315i	−1.18048	−	0.821572i
$363$	1.96170	−	4.07351i	0.102962	−	0.213804i
$364$	−18.9487	−	0.395844i	−0.993184	−	0.0207479i
$365$	1.46480	+	3.04168i	0.0766710	+	0.159209i
$366$	−2.94241	+	18.3245i	−0.153802	+	0.957835i
$367$	−9.72942	−	9.02758i	−0.507871	−	0.471236i	0.384123	−	0.923282i	$-0.374504\pi$
$367$	−9.72942	−	9.02758i	−0.507871	−	0.471236i	−0.891995	+	0.452046i	$0.850694\pi$
$368$	−17.6798	+	28.0714i	−0.921625	+	1.46332i
$369$	−2.17054	−	1.47985i	−0.112994	−	0.0770379i
$370$	−0.461520	−	0.375365i	−0.0239933	−	0.0195143i
$371$	−6.20427	+	2.97515i	−0.322110	+	0.154462i
$372$	−7.96264	−	17.3818i	−0.412843	−	0.901206i
$373$	−8.05133	+	4.64844i	−0.416882	+	0.240687i	−0.693742	−	0.720223i	$-0.744039\pi$
$373$	−8.05133	+	4.64844i	−0.416882	+	0.240687i	0.276860	+	0.960910i	$0.410706\pi$
$374$	−2.67347	+	31.5956i	−0.138242	+	1.63377i
$375$	4.63107	−	3.15741i	0.239148	−	0.163048i
$376$	3.59114	+	1.53035i	0.185199	+	0.0789219i
$377$	−2.62983	+	11.5220i	−0.135443	+	0.593415i
$378$	−11.6618	−	17.5260i	−0.599818	−	0.901439i
$379$	3.43812	−	0.784728i	0.176604	−	0.0403087i	−0.133304	−	0.991075i	$-0.542559\pi$
$379$	3.43812	−	0.784728i	0.176604	−	0.0403087i	0.309908	+	0.950766i	$0.399702\pi$
$380$	−1.30181	−	0.924718i	−0.0667814	−	0.0474370i
$381$	−1.73825	+	5.63525i	−0.0890530	+	0.288703i
$382$	2.77949	−	2.93841i	0.142211	−	0.150342i
$383$	−14.4957	+	4.47133i	−0.740696	+	0.228474i	−0.642066	−	0.766650i	$-0.721922\pi$
$383$	−14.4957	+	4.47133i	−0.740696	+	0.228474i	−0.0986303	+	0.995124i	$0.531446\pi$
$384$	8.55867	+	12.3532i	0.436758	+	0.630395i
$385$	0.650459	−	4.26747i	0.0331505	−	0.217490i
$386$	14.5833	+	3.47639i	0.742273	+	0.176944i
$387$	8.12468	+	3.18870i	0.413001	+	0.162091i
$388$	−17.1798	−	16.5665i	−0.872172	−	0.841037i
$389$	−2.70183	−	17.9255i	−0.136988	−	0.908858i	−0.946720	−	0.322058i	$-0.895625\pi$
$389$	−2.70183	−	17.9255i	−0.136988	−	0.908858i	0.809732	−	0.586800i	$-0.199613\pi$
$390$	−1.08262	+	2.68236i	−0.0548208	+	0.135827i
$391$	48.9976			2.47791
$392$	−19.6858	−	2.11367i	−0.994285	−	0.106756i
$393$	14.1270			0.712611
$394$	−8.58654	+	21.2744i	−0.432584	+	1.07179i
$395$	−0.599709	−	3.97881i	−0.0301746	−	0.200195i
$396$	6.50984	−	6.75084i	0.327132	−	0.339242i
$397$	3.01373	+	1.18280i	0.151255	+	0.0593632i	0.439761	−	0.898115i	$-0.355063\pi$
$397$	3.01373	+	1.18280i	0.151255	+	0.0593632i	−0.288506	+	0.957478i	$0.593158\pi$
$398$	−1.68767	−	0.402309i	−0.0845954	−	0.0201660i
$399$	−6.07177	−	2.39463i	−0.303969	−	0.119881i
$400$	12.5790	−	14.5858i	0.628948	−	0.729290i
$401$	−12.1303	+	3.74170i	−0.605758	+	0.186852i	−0.582436	−	0.812876i	$-0.697900\pi$
$401$	−12.1303	+	3.74170i	−0.605758	+	0.186852i	−0.0233220	+	0.999728i	$0.507424\pi$
$402$	17.1078	−	18.0859i	0.853260	−	0.902045i
$403$	7.59772	−	24.6312i	0.378470	−	1.22697i
$404$	−11.7276	+	16.5100i	−0.583470	+	0.821404i
$405$	−1.57878	+	0.360346i	−0.0784502	+	0.0179057i
$406$	−3.77179	+	11.7557i	−0.187191	+	0.583425i
$407$	0.826346	−	3.62046i	0.0409605	−	0.179459i
$408$	8.70160	−	20.4193i	0.430794	−	1.01090i
$409$	13.9418	−	9.50537i	0.689378	−	0.470010i	−0.167270	−	0.985911i	$-0.553495\pi$
$409$	13.9418	−	9.50537i	0.689378	−	0.470010i	0.856648	+	0.515901i	$0.172543\pi$
$410$	−0.108991	+	1.28808i	−0.00538270	+	0.0636139i
$411$	18.6662	−	10.7769i	0.920737	−	0.531588i
$412$	−8.74539	+	4.00628i	−0.430855	+	0.197375i
$413$	17.3060	−	21.6273i	0.851571	−	1.06421i
$414$	−11.2427	−	9.14397i	−0.552550	−	0.449402i
$415$	−6.02191	−	4.10567i	−0.295604	−	0.201539i
$416$	−2.48329	+	20.1087i	−0.121753	+	0.985911i
$417$	−5.72820	−	5.31500i	−0.280511	−	0.260277i
$418$	1.58034	−	9.84186i	0.0772968	−	0.481381i
$419$	−9.30669	−	19.3256i	−0.454662	−	0.944115i	−0.994733	−	0.102496i	$-0.967317\pi$
$419$	−9.30669	−	19.3256i	−0.454662	−	0.944115i	0.540072	−	0.841619i	$-0.318397\pi$
$420$	−1.36766	+	2.69451i	−0.0667349	+	0.131479i
$421$	6.37277	−	13.2332i	0.310590	−	0.644946i	−0.685987	−	0.727613i	$-0.740630\pi$
$421$	6.37277	−	13.2332i	0.310590	−	0.644946i	0.996577	+	0.0826670i	$0.0263438\pi$
$422$	18.4241	+	12.8225i	0.896872	+	0.624192i
$423$	−0.852605	+	1.47676i	−0.0414551	+	0.0718023i
$424$	2.48880	+	6.92199i	0.120867	+	0.336162i
$425$	−28.1293	−	4.23981i	−1.36447	−	0.205661i
$426$	6.04605	+	27.7151i	0.292932	+	1.34280i
$427$	−21.6213	+	14.6887i	−1.04633	+	0.710836i
$428$	−3.11952	+	6.17132i	−0.150788	+	0.298302i
$429$	−18.0063	+	1.34938i	−0.869351	+	0.0651488i
$430$	−0.599252	−	4.25282i	−0.0288985	−	0.205089i
$431$	1.45018	+	3.69500i	0.0698528	+	0.177982i	0.961537	−	0.274677i	$-0.0885708\pi$
$431$	1.45018	+	3.69500i	0.0698528	+	0.177982i	−0.891684	+	0.452659i	$0.850476\pi$
$432$	−19.9079	+	10.4947i	−0.957821	+	0.504929i
$433$	20.2700	+	25.4178i	0.974115	+	1.22150i	0.975160	+	0.221502i	$0.0710960\pi$
$433$	20.2700	+	25.4178i	0.974115	+	1.22150i	−0.00104491	+	0.999999i	$0.500333\pi$
$434$	10.1195	−	24.9533i	0.485752	−	1.19779i
$435$	1.47316	+	1.17481i	0.0706328	+	0.0563278i
$436$	15.5790	−	8.59948i	0.746101	−	0.411841i
$437$	−15.3599	−	1.15106i	−0.734762	−	0.0550628i
$438$	12.2681	−	8.19260i	0.586193	−	0.391457i
$439$	11.5167	−	10.6859i	0.549660	−	0.510010i	−0.355731	−	0.934588i	$-0.615768\pi$
$439$	11.5167	−	10.6859i	0.549660	−	0.510010i	0.905391	+	0.424578i	$0.139578\pi$
$440$	−4.46762	−	1.15621i	−0.212985	−	0.0551202i
$441$	1.95249	−	8.42548i	0.0929758	−	0.401213i
$442$	27.0851	−	12.7242i	1.28831	−	0.605228i
$443$	4.90417	+	5.28544i	0.233004	+	0.251119i	0.838721	−	0.544562i	$-0.183304\pi$
$443$	4.90417	+	5.28544i	0.233004	+	0.251119i	−0.605717	+	0.795680i	$0.707114\pi$
$444$	−1.34280	+	2.22583i	−0.0637263	+	0.105633i
$445$	−2.86450	−	0.214664i	−0.135790	−	0.0101761i
$446$	21.8126	−	1.42388i	1.03285	−	0.0674228i
$447$	19.9291	−	24.9904i	0.942616	−	1.18200i
$448$	−4.39040	+	20.7057i	−0.207427	+	0.978251i
$449$	−15.1065	−	18.9429i	−0.712917	−	0.893970i	0.284996	−	0.958529i	$-0.408008\pi$
$449$	−15.1065	−	18.9429i	−0.712917	−	0.893970i	−0.997914	+	0.0645583i	$0.979436\pi$
$450$	5.66316	+	6.22236i	0.266964	+	0.293325i
$451$	−7.51164	+	2.94810i	−0.353709	+	0.138821i
$452$	−3.75856	+	2.45804i	−0.176788	+	0.115616i
$453$	−0.206342	+	0.0154632i	−0.00969479	+	0.000726524i
$454$	−19.6772	−	25.1670i	−0.923495	−	1.18114i
$455$	−3.79480	+	1.48209i	−0.177903	+	0.0694815i
$456$	−3.20749	+	6.19665i	−0.150205	+	0.290185i
$457$	24.4772	+	3.68935i	1.14500	+	0.172580i	0.694020	−	0.719955i	$-0.255838\pi$
$457$	24.4772	+	3.68935i	1.14500	+	0.172580i	0.450976	+	0.892536i	$0.351076\pi$
$458$	7.35756	−	12.4653i	0.343796	−	0.582467i
$459$	28.7852	+	16.6191i	1.34358	+	0.775715i
$460$	−1.19821	+	7.02964i	−0.0558666	+	0.327759i
$461$	−5.32533	+	11.0582i	−0.248025	+	0.515030i	−0.987396	−	0.158269i	$-0.949409\pi$
$461$	−5.32533	+	11.0582i	−0.248025	+	0.515030i	0.739371	+	0.673298i	$0.235123\pi$
$462$	−18.8617	−	0.212637i	−0.877524	−	0.00989278i
$463$	−9.13619	+	4.39976i	−0.424595	+	0.204474i	−0.633964	−	0.773363i	$-0.718573\pi$
$463$	−9.13619	+	4.39976i	−0.424595	+	0.204474i	0.209369	+	0.977837i	$0.432859\pi$
$464$	12.0915	+	5.29071i	0.561336	+	0.245615i
$465$	−3.01258	−	2.79526i	−0.139705	−	0.129627i
$466$	4.61282	−	14.4593i	0.213685	−	0.669816i
$467$	5.75198	−	8.43660i	0.266170	−	0.390400i	−0.669765	−	0.742573i	$-0.733605\pi$
$467$	5.75198	−	8.43660i	0.266170	−	0.390400i	0.935935	+	0.352174i	$0.114557\pi$
$468$	−8.58941	−	2.13503i	−0.397046	−	0.0986917i
$469$	35.0627	+	0.0581631i	1.61904	+	0.00268572i
$470$	0.839052	+	0.00806707i	0.0387026	+	0.000372106i
$471$	0.239916	+	0.415546i	0.0110547	+	0.0191474i
$472$	−21.1169	−	20.7586i	−0.971984	−	0.955490i
$473$	22.1515	−	15.1026i	1.01853	−	0.694419i
$474$	−16.8504	+	5.02077i	−0.773965	+	0.230612i
$475$	8.71843	+	1.98992i	0.400029	+	0.0913040i
$476$	29.3322	−	10.8107i	1.34444	−	0.495506i
$477$	−3.13266	+	0.715010i	−0.143435	+	0.0327381i
$478$	30.0333	−	16.9569i	1.37369	−	0.775589i
$479$	−22.7119	−	7.00570i	−1.03773	−	0.320099i	−0.271350	−	0.962481i	$-0.587470\pi$
$479$	−22.7119	−	7.00570i	−1.03773	−	0.320099i	−0.766385	+	0.642382i	$0.777946\pi$
$480$	2.71674	+	1.74775i	0.124002	+	0.0797736i
$481$	−3.34899	+	1.03303i	−0.152701	+	0.0471020i
$482$	−14.9565	+	30.3086i	−0.681250	+	1.38052i
$483$	2.13000	+	29.0699i	0.0969184	+	1.32273i
$484$	−1.38691	−	6.66464i	−0.0630412	−	0.302938i
$485$	−4.77546	−	1.87423i	−0.216842	−	0.0851044i
$486$	−5.98486	−	15.6911i	−0.271479	−	0.711764i
$487$	23.5607	−	3.55120i	1.06764	−	0.160920i	0.408360	−	0.912821i	$-0.366101\pi$
$487$	23.5607	−	3.55120i	1.06764	−	0.160920i	0.659277	+	0.751901i	$0.270863\pi$
$488$	13.2681	+	24.5927i	0.600619	+	1.11326i
$489$	12.0752			0.546059
$490$	−4.08264	+	1.20173i	−0.184435	+	0.0542888i
$491$			28.5936i			1.29041i	0.764009	+	0.645206i	$0.223228\pi$
$491$			28.5936i			1.29041i	−0.764009	+	0.645206i	$0.776772\pi$
$492$	5.63991	−	0.313741i	0.254267	−	0.0141445i
$493$	−2.90532	−	19.2755i	−0.130849	−	0.868126i
$494$	−8.78962	+	3.35252i	−0.395464	+	0.150837i
$495$	0.736482	−	1.87653i	0.0331024	−	0.0843436i
$496$	−25.4362	−	13.4778i	−1.14212	−	0.605172i
$497$	−22.5605	+	32.9725i	−1.01198	+	1.47902i
$498$	−14.0934	+	28.5597i	−0.631542	+	1.27979i
$499$	11.4491	+	37.1172i	0.512534	+	1.66159i	0.728385	+	0.685168i	$0.240271\pi$
$499$	11.4491	+	37.1172i	0.512534	+	1.66159i	−0.215850	+	0.976426i	$0.569252\pi$
$500$	2.64208	−	8.01492i	0.118157	−	0.358438i
$501$	−3.89479	+	12.6266i	−0.174006	+	0.564115i
$502$	−0.669375	−	1.18557i	−0.0298756	−	0.0529146i
$503$	−5.53284	−	24.2410i	−0.246697	−	1.08085i	−0.934782	−	0.355221i	$-0.884406\pi$
$503$	−5.53284	−	24.2410i	−0.246697	−	1.08085i	0.688085	−	0.725630i	$-0.258452\pi$
$504$	−8.74791	−	2.99345i	−0.389663	−	0.133339i
$505$	−0.968649	+	4.24393i	−0.0431043	+	0.188852i
$506$	−42.6611	+	12.7114i	−1.89652	+	0.565089i
$507$	−0.127968	−	0.187694i	−0.00568324	−	0.00833578i
$508$	3.08441	+	8.32625i	0.136849	+	0.369418i
$509$	−9.02074	+	5.20813i	−0.399837	+	0.230846i	−0.686414	−	0.727211i	$-0.740816\pi$
$509$	−9.02074	+	5.20813i	−0.399837	+	0.230846i	0.286577	+	0.958057i	$0.407483\pi$
$510$	0.0458694	−	4.77086i	0.00203113	−	0.211257i
$511$	20.2483	+	4.65690i	0.895734	+	0.206009i
$512$	21.5424	+	6.92267i	0.952050	+	0.305942i
$513$	−8.63323	−	5.88603i	−0.381166	−	0.259875i
$514$	1.81835	−	5.69980i	0.0802040	−	0.251407i
$515$	−1.40639	+	1.51573i	−0.0619731	+	0.0667911i
$516$	−18.0363	+	5.18586i	−0.794006	+	0.228295i
$517$	2.27265	+	4.71921i	0.0999512	+	0.207551i
$518$	−3.57832	+	0.774395i	−0.157222	+	0.0340250i
$519$	9.86934	+	4.75283i	0.433216	+	0.208626i
$520$	1.16318	+	4.19704i	0.0510087	+	0.184052i
$521$	−1.82110	+	3.15424i	−0.0797839	+	0.138190i	−0.903157	−	0.429311i	$-0.858756\pi$
$521$	−1.82110	+	3.15424i	−0.0797839	+	0.138190i	0.823373	+	0.567501i	$0.192090\pi$
$522$	−2.93058	+	4.96505i	−0.128268	+	0.217314i
$523$	1.16673	−	7.74077i	0.0510177	−	0.338480i	−0.948731	−	0.316083i	$-0.897632\pi$
$523$	1.16673	−	7.74077i	0.0510177	−	0.338480i	0.999749	−	0.0223971i	$-0.00712981\pi$
$524$	16.8817	−	12.9396i	0.737479	−	0.565268i
$525$	1.29262	−	16.8732i	0.0564147	−	0.736407i
$526$	−4.27564	+	3.34297i	−0.186427	+	0.145760i
$527$	3.17721	+	42.3969i	0.138401	+	1.84684i
$528$	−2.27897	+	20.0361i	−0.0991794	+	0.871957i
$529$	16.7276	+	42.6212i	0.727286	+	1.85309i
$530$	1.06426	+	1.16935i	0.0462285	+	0.0507933i
$531$	10.1131	−	8.06492i	0.438871	−	0.349988i
$532$	−9.44910	+	2.69987i	−0.409670	+	0.117054i
$533$	5.95410	+	4.74824i	0.257901	+	0.205669i
$534$	0.817633	+	12.5254i	0.0353825	+	0.542026i
$535$	−0.111077	+	1.48223i	−0.00480230	+	0.0640822i
$536$	3.87794	−	37.2825i	0.167502	−	1.61036i
$537$	6.31633	−	5.86070i	0.272570	−	0.252908i
$538$	39.0931	−	18.3653i	1.68542	−	0.791786i
$539$	−18.0051	−	19.5345i	−0.775536	−	0.841411i
$540$	−3.08826	+	3.72338i	−0.132897	+	0.160229i
$541$	10.8355	+	11.6779i	0.465856	+	0.502073i	0.921655	−	0.388009i	$-0.126837\pi$
$541$	10.8355	+	11.6779i	0.465856	+	0.502073i	−0.455800	+	0.890082i	$0.650647\pi$
$542$	3.05540	+	4.57534i	0.131241	+	0.196528i
$543$	−1.92075	+	25.6306i	−0.0824271	+	1.09991i
$544$	−8.30463	−	32.3711i	−0.356058	−	1.38790i
$545$	2.38487	−	2.99054i	0.102157	−	0.128101i
$546$	8.72660	+	15.5163i	0.373464	+	0.664035i
$547$	−13.6772	+	10.9072i	−0.584796	+	0.466359i	−0.870643	−	0.491916i	$-0.836297\pi$
$547$	−13.6772	+	10.9072i	−0.584796	+	0.466359i	0.285846	+	0.958275i	$0.407725\pi$
$548$	12.4349	−	29.9757i	0.531193	−	1.28050i
$549$	−11.3628	+	4.45955i	−0.484951	+	0.190329i
$550$	25.5915	−	3.60602i	1.09123	−	0.153761i
$551$	0.457940	+	6.11079i	0.0195089	+	0.260328i
$552$	31.1474	+	0.898621i	1.32572	+	0.0382478i
$553$	−21.4251	−	12.4172i	−0.911087	−	0.528033i
$554$	−6.97209	−	31.9601i	−0.296216	−	1.35785i
$555$	−0.0832801	+	0.552527i	−0.00353504	+	0.0234535i
$556$	−11.7134	−	1.10465i	−0.496761	−	0.0468477i
$557$	−5.69673	−	3.28901i	−0.241378	−	0.139360i	0.374432	−	0.927254i	$-0.377838\pi$
$557$	−5.69673	−	3.28901i	−0.241378	−	0.139360i	−0.615810	+	0.787895i	$0.711171\pi$
$558$	7.18312	−	10.3211i	0.304086	−	0.436927i
$559$	−22.7964	−	10.9782i	−0.964184	−	0.464327i
$560$	0.833694	+	4.47264i	0.0352300	+	0.189003i
$561$	26.8335	−	12.9223i	1.13291	−	0.545581i
$562$	−0.376226	+	2.34302i	−0.0158701	+	0.0988345i
$563$	9.39664	−	10.1272i	0.396021	−	0.426809i	−0.503291	−	0.864117i	$-0.667878\pi$
$563$	9.39664	−	10.1272i	0.396021	−	0.426809i	0.899312	+	0.437308i	$0.144068\pi$
$564$	−0.476661	−	3.63545i	−0.0200711	−	0.153080i
$565$	−0.543796	+	0.797602i	−0.0228777	+	0.0335554i
$566$	15.9005	−	19.5500i	0.668347	−	0.821747i
$567$	−4.33903	+	8.97199i	−0.182222	+	0.376788i
$568$	32.6106	+	27.5815i	1.36831	+	1.15729i
$569$	−10.3912	−	17.9980i	−0.435620	−	0.754516i	0.561726	−	0.827323i	$-0.310137\pi$
$569$	−10.3912	−	17.9980i	−0.435620	−	0.754516i	−0.997346	+	0.0728075i	$0.976804\pi$
$570$	−0.126457	+	1.49450i	−0.00529672	+	0.0625978i
$571$	−13.2291	−	19.4035i	−0.553619	−	0.812010i	0.442795	−	0.896623i	$-0.353987\pi$
$571$	−13.2291	−	19.4035i	−0.553619	−	0.812010i	−0.996414	+	0.0846128i	$0.973035\pi$
$572$	−20.2814	+	18.1053i	−0.848009	+	0.757022i
$573$	−3.70385	−	0.845380i	−0.154731	−	0.0353163i
$574$	5.77047	+	5.47655i	0.240855	+	0.228587i
$575$	−8.88657	−	38.9346i	−0.370596	−	1.62369i
$576$	−4.13560	+	8.97753i	−0.172317	+	0.374064i
$577$	−36.2247	−	11.1738i	−1.50805	−	0.465173i	−0.572962	−	0.819582i	$-0.694206\pi$
$577$	−36.2247	−	11.1738i	−1.50805	−	0.465173i	−0.935090	+	0.354409i	$0.884682\pi$
$578$	−17.3976	+	18.3923i	−0.723643	+	0.765017i
$579$	−4.15061	−	13.4559i	−0.172493	−	0.559210i
$580$	2.83649	+	0.0545479i	0.117779	+	0.00226498i
$581$	−42.8836	+	13.1500i	−1.77911	+	0.545553i
$582$	−5.19810	+	21.8058i	−0.215468	+	0.903881i
$583$	−3.60597	+	9.18785i	−0.149344	+	0.380522i
$584$	7.15632	−	21.0271i	0.296131	−	0.870106i
$585$	−1.88124	+	0.283552i	−0.0777798	+	0.0117234i
$586$	8.55872	−	21.2055i	0.353557	−	0.875991i
$587$			15.7689i			0.650854i	0.945567	+	0.325427i	$0.105508\pi$
$587$			15.7689i			0.650854i	−0.945567	+	0.325427i	$0.894492\pi$
$588$	7.68900	+	16.9326i	0.317089	+	0.698290i
$589$		−	13.3653i		−	0.550708i
$590$	−5.90243	−	2.38227i	−0.242999	−	0.0980765i
$591$	21.3080	−	3.21166i	0.876494	−	0.132110i
$592$	0.434111	+	3.88979i	0.0178419	+	0.159869i
$593$	2.81806	−	7.18029i	0.115724	−	0.294859i	−0.861263	−	0.508160i	$-0.830326\pi$
$593$	2.81806	−	7.18029i	0.115724	−	0.294859i	0.976987	+	0.213300i	$0.0684213\pi$
$594$	−29.3741	−	7.00224i	−1.20524	−	0.287305i
$595$	4.93340	−	4.56232i	0.202250	−	0.187037i
$596$	0.925336	−	48.1175i	0.0379032	−	1.97097i
$597$	0.480334	+	1.55720i	0.0196587	+	0.0637321i
$598$	30.5200	+	28.8694i	1.24806	+	1.18056i
$599$	11.5245	+	3.55484i	0.470879	+	0.145247i	0.521108	−	0.853491i	$-0.325519\pi$
$599$	11.5245	+	3.55484i	0.470879	+	0.145247i	−0.0502292	+	0.998738i	$0.515995\pi$
$600$	−17.8038	−	3.21111i	−0.726837	−	0.131093i
$601$	7.38309	+	32.3474i	0.301162	+	1.31948i	0.868375	+	0.495907i	$0.165164\pi$
$601$	7.38309	+	32.3474i	0.301162	+	1.31948i	−0.567213	+	0.823571i	$0.691978\pi$
$602$	−22.7400	−	13.4730i	−0.926814	−	0.549119i
$603$	15.9634	+	3.64354i	0.650079	+	0.148376i
$604$	−0.232414	+	0.207477i	−0.00945680	+	0.00844213i
$605$	−0.824288	−	1.20901i	−0.0335121	−	0.0491532i
$606$	18.9538	+	1.60378i	0.769946	+	0.0651491i
$607$	11.9109	+	20.6303i	0.483450	+	0.837360i	0.999819	−	0.0190060i	$-0.00605015\pi$
$607$	11.9109	+	20.6303i	0.483450	+	0.837360i	−0.516369	+	0.856366i	$0.672717\pi$
$608$	1.84288	+	10.3429i	0.0747387	+	0.419459i
$609$	11.3097	−	2.56164i	0.458293	−	0.103803i
$610$	4.65987	+	3.78999i	0.188673	+	0.153452i
$611$	2.78467	−	4.08436i	0.112656	−	0.165236i
$612$	14.4747	−	1.89784i	0.585103	−	0.0767157i
$613$	8.12504	−	8.75671i	0.328167	−	0.353680i	−0.547318	−	0.836925i	$-0.684351\pi$
$613$	8.12504	−	8.75671i	0.328167	−	0.353680i	0.875485	+	0.483244i	$0.160542\pi$
$614$	31.7207	+	5.09348i	1.28014	+	0.205556i
$615$	1.09394	−	0.526815i	0.0441120	−	0.0212432i
$616$	−22.7344	+	17.0222i	−0.915994	+	0.685845i
$617$	29.9935	+	14.4441i	1.20749	+	0.581498i	0.925803	−	0.378008i	$-0.123391\pi$
$617$	29.9935	+	14.4441i	1.20749	+	0.581498i	0.281690	+	0.959505i	$0.409105\pi$
$618$	7.41595	+	5.16124i	0.298313	+	0.207616i
$619$	14.8729	+	8.58686i	0.597791	+	0.345135i	0.768172	−	0.640243i	$-0.221166\pi$
$619$	14.8729	+	8.58686i	0.597791	+	0.345135i	−0.170381	+	0.985378i	$0.554500\pi$
$620$	−6.16034	−	0.580959i	−0.247405	−	0.0233319i
$621$	−6.95464	+	46.1410i	−0.279080	+	1.85158i
$622$	−30.0159	+	6.54797i	−1.20353	+	0.262550i
$623$	−12.0458	+	12.9392i	−0.482606	+	0.518398i
$624$	17.4512	−	7.59192i	0.698606	−	0.303920i
$625$	1.66363	+	22.1997i	0.0665454	+	0.887986i
$626$	−1.64206	−	11.6535i	−0.0656300	−	0.465768i
$627$	−8.71540	+	3.42054i	−0.348059	+	0.136603i
$628$	0.667318	+	0.276825i	0.0266289	+	0.0110465i
$629$	4.51951	−	3.60419i	0.180205	−	0.143708i
$630$	−1.98342	+	0.126170i	−0.0790212	+	0.00502672i
$631$	22.1957	−	27.8326i	0.883598	−	1.10800i	−0.109877	−	0.993945i	$-0.535046\pi$
$631$	22.1957	−	27.8326i	0.883598	−	1.10800i	0.993475	−	0.114051i	$-0.0363828\pi$
$632$	−15.5374	+	21.4339i	−0.618045	+	0.852596i
$633$	1.57559	−	21.0248i	0.0626243	−	0.835663i
$634$	−2.41359	+	1.61179i	−0.0958558	+	0.0640122i
$635$	1.29818	+	1.39910i	0.0515166	+	0.0555217i
$636$	4.41083	−	5.31794i	0.174901	−	0.210870i
$637$	−7.46963	+	23.9338i	−0.295958	+	0.948290i
$638$	7.53022	+	16.0291i	0.298124	+	0.634597i
$639$	−13.6767	+	12.6901i	−0.541040	+	0.502012i
$640$	4.84734	−	0.399841i	0.191608	−	0.0158051i
$641$	0.849350	−	11.3338i	0.0335473	−	0.447658i	−0.954986	−	0.296652i	$-0.904130\pi$
$641$	0.849350	−	11.3338i	0.0335473	−	0.447658i	0.988533	−	0.151006i	$-0.0482512\pi$
$642$	6.48123	−	0.423082i	0.255794	−	0.0166977i
$643$	−31.7997	−	25.3594i	−1.25406	−	1.00008i	−0.999454	−	0.0330314i	$-0.989484\pi$
$643$	−31.7997	−	25.3594i	−1.25406	−	1.00008i	−0.254603	−	0.967046i	$-0.581945\pi$
$644$	29.1719	+	32.7874i	1.14953	+	1.29201i
$645$	−3.15392	+	2.51517i	−0.124185	+	0.0990346i
$646$	11.4753	−	10.4440i	0.451489	−	0.410914i
$647$	0.409193	+	1.04261i	0.0160870	+	0.0409891i	0.938692	−	0.344758i	$-0.112039\pi$
$647$	0.409193	+	1.04261i	0.0160870	+	0.0409891i	−0.922605	+	0.385747i	$0.873944\pi$
$648$	9.06938	+	5.59099i	0.356279	+	0.219635i
$649$	−2.96926	−	39.6220i	−0.116554	−	1.55530i
$650$	−15.0233	−	19.2147i	−0.589262	−	0.753663i
$651$	−25.0156	+	3.72807i	−0.980440	+	0.146115i
$652$	14.4298	−	11.0603i	0.565115	−	0.433154i
$653$	5.58715	−	37.0683i	0.218642	−	1.45059i	−0.562788	−	0.826601i	$-0.690271\pi$
$653$	5.58715	−	37.0683i	0.218642	−	1.45059i	0.781430	−	0.623993i	$-0.214491\pi$
$654$	−14.3939	−	8.49589i	−0.562847	−	0.332216i
$655$	2.28604	−	3.95954i	0.0893229	−	0.154712i
$656$	6.45230	−	5.54079i	0.251920	−	0.216332i
$657$	8.74174	+	4.20980i	0.341048	+	0.164240i
$658$	3.26501	−	4.00083i	0.127283	−	0.155969i
$659$	−1.65112	−	3.42858i	−0.0643184	−	0.133558i	0.866331	−	0.499470i	$-0.166472\pi$
$659$	−1.65112	−	3.42858i	−0.0643184	−	0.133558i	−0.930650	+	0.365911i	$0.880757\pi$
$660$	1.19776	+	4.16579i	0.0466227	+	0.162153i
$661$	−6.41977	+	6.91887i	−0.249700	+	0.269113i	−0.845447	−	0.534060i	$-0.820666\pi$
$661$	−6.41977	+	6.91887i	−0.249700	+	0.269113i	0.595747	+	0.803172i	$0.296856\pi$
$662$	27.7695	+	8.85903i	1.07929	+	0.344316i
$663$	−23.2237	−	15.8337i	−0.901935	−	0.614929i
$664$	9.31759	+	47.0375i	0.361593	+	1.82541i
$665$	−1.65371	+	1.31431i	−0.0641282	+	0.0509667i
$666$	−1.70964	−	0.0164373i	−0.0662471	−	0.000636933i
$667$	23.6996	−	13.6830i	0.917653	−	0.529807i
$668$	6.91107	+	18.6562i	0.267397	+	0.721829i
$669$	−11.5658	−	16.9639i	−0.447161	−	0.655864i
$670$	−2.30076	−	7.72170i	−0.0888863	−	0.298315i
$671$	−8.34345	+	36.5550i	−0.322095	+	1.41119i
$672$	18.8445	−	6.33430i	0.726944	−	0.244351i
$673$	0.897575	+	3.93253i	0.0345990	+	0.151588i	0.989277	−	0.146053i	$-0.0466572\pi$
$673$	0.897575	+	3.93253i	0.0345990	+	0.151588i	−0.954678	+	0.297641i	$0.903800\pi$
$674$	15.1471	−	8.55211i	0.583446	−	0.329415i
$675$	7.98526	−	25.8876i	0.307353	−	0.996413i
$676$	−0.324839	−	0.107082i	−0.0124938	−	0.00411852i
$677$	−12.4776	−	40.4515i	−0.479554	−	1.55468i	−0.795533	−	0.605910i	$-0.792809\pi$
$677$	−12.4776	−	40.4515i	−0.479554	−	1.55468i	0.315979	−	0.948766i	$-0.397667\pi$
$678$	3.78273	+	1.86668i	0.145275	+	0.0716893i
$679$	−27.3683	+	15.7406i	−1.05030	+	0.604070i
$680$	−4.31505	−	5.74317i	−0.165475	−	0.220240i
$681$	−10.9625	+	27.9321i	−0.420085	+	1.07036i
$682$	−13.7653	−	36.0898i	−0.527100	−	1.38195i
$683$	−3.50102	−	23.2277i	−0.133963	−	0.888784i	−0.950328	−	0.311249i	$-0.899253\pi$
$683$	−3.50102	−	23.2277i	−0.133963	−	0.888784i	0.816366	−	0.577535i	$-0.195985\pi$
$684$	−4.58213	+	0.254898i	−0.175202	+	0.00974626i
$685$		−	6.97574i		−	0.266529i
$686$	−9.92357	+	24.2389i	−0.378884	+	0.925444i
$687$	−13.5957			−0.518709
$688$	−16.8034	+	22.7175i	−0.640622	+	0.866095i
$689$	9.21094	−	1.38833i	0.350909	−	0.0528910i
$690$	6.25820	−	2.38699i	0.238246	−	0.0908710i
$691$	−0.916013	−	0.359509i	−0.0348468	−	0.0136764i	0.347854	−	0.937549i	$-0.386911\pi$
$691$	−0.916013	−	0.359509i	−0.0348468	−	0.0136764i	−0.382700	+	0.923873i	$0.625006\pi$
$692$	16.1472	−	3.36021i	0.613823	−	0.127736i
$693$	−6.18531	−	10.7544i	−0.234960	−	0.408527i
$694$	−32.1744	−	15.8772i	−1.22132	−	0.602692i
$695$	−2.41664	+	0.745435i	−0.0916685	+	0.0282760i
$696$	−1.49337	−	12.3066i	−0.0566061	−	0.466480i
$697$	−12.0031	−	3.70248i	−0.454651	−	0.140241i
$698$	−15.5676	−	27.5728i	−0.589243	−	1.04364i
$699$	−13.8982	+	3.17217i	−0.525678	+	0.119983i
$700$	−13.9103	−	21.3474i	−0.525761	−	0.806855i
$701$	13.7018	+	3.12735i	0.517511	+	0.118119i	0.473296	−	0.880904i	$-0.343064\pi$
$701$	13.7018	+	3.12735i	0.517511	+	0.118119i	0.0442151	+	0.999022i	$0.485921\pi$
$702$	8.13795	+	27.3121i	0.307147	+	1.03083i
$703$	−1.50146	+	1.02367i	−0.0566284	+	0.0386086i
$704$	15.6287	+	26.0304i	0.589027	+	0.981058i
$705$	−0.394067	−	0.682545i	−0.0148414	−	0.0257061i
$706$	0.0465663	−	4.84334i	0.00175254	−	0.182281i
$707$	16.6685	+	20.9730i	0.626885	+	0.788770i
$708$	−6.70925	+	26.9919i	−0.252149	+	1.01442i
$709$	24.5583	−	36.0204i	0.922306	−	1.35277i	−0.0133683	−	0.999911i	$-0.504255\pi$
$709$	24.5583	−	36.0204i	0.922306	−	1.35277i	0.935675	−	0.352864i	$-0.114792\pi$
$710$	8.74641	+	2.79028i	0.328247	+	0.104717i
$711$	−8.47715	−	7.86564i	−0.317918	−	0.294985i
$712$	12.4497	+	14.2189i	0.466572	+	0.532874i
$713$	−53.7757	+	25.8970i	−2.01392	+	0.969851i
$714$	−22.7488	−	18.5649i	−0.851351	−	0.694774i
$715$	−2.53558	+	5.26519i	−0.0948254	+	0.196907i
$716$	2.17988	−	12.7890i	0.0814661	−	0.477946i
$717$	−28.0550	−	16.1976i	−1.04773	−	0.604910i
$718$	2.27073	+	1.34028i	0.0847428	+	0.0500187i
$719$	11.1691	+	1.68347i	0.416536	+	0.0627827i	0.353967	−	0.935258i	$-0.384833\pi$
$719$	11.1691	+	1.68347i	0.416536	+	0.0627827i	0.0625690	+	0.998041i	$0.480071\pi$
$720$	−0.0816870	+	2.12308i	−0.00304429	+	0.0791223i
$721$	1.87572	+	12.5862i	0.0698555	+	0.468735i
$722$	17.3253	−	13.5460i	0.644781	−	0.504131i
$723$	31.6568	−	2.37235i	1.17733	−	0.0882286i
$724$	21.1810	+	32.3877i	0.787187	+	1.20368i
$725$	−14.7899	+	5.80459i	−0.549281	+	0.215577i
$726$	−4.72874	+	4.30377i	−0.175500	+	0.159728i
$727$	−24.9347	−	31.2671i	−0.924775	−	1.15963i	−0.986863	−	0.161561i	$-0.948347\pi$
$727$	−24.9347	−	31.2671i	−0.924775	−	1.15963i	0.0620874	−	0.998071i	$-0.480224\pi$
$728$	24.6404	+	10.5487i	0.913232	+	0.390962i
$729$	−16.8806	+	21.1676i	−0.625208	+	0.783987i
$730$	−0.311002	−	4.76426i	−0.0115107	−	0.176333i
$731$	41.6167	+	3.11874i	1.53925	+	0.115351i
$732$	13.5579	−	22.4737i	0.501116	−	0.830653i
$733$	−3.51634	−	3.78971i	−0.129879	−	0.139976i	0.664764	−	0.747054i	$-0.268532\pi$
$733$	−3.51634	−	3.78971i	−0.129879	−	0.139976i	−0.794643	+	0.607077i	$0.792342\pi$
$734$	7.98109	+	16.9888i	0.294587	+	0.627069i
$735$	2.92125	+	2.72862i	0.107752	+	0.100647i
$736$	38.0441	−	27.4556i	1.40232	−	1.01203i
$737$	36.8696	−	34.2100i	1.35811	−	1.26014i
$738$	2.06321	+	3.08959i	0.0759480	+	0.113729i
$739$	10.1438	+	0.760170i	0.373144	+	0.0279633i	0.259983	−	0.965613i	$-0.416283\pi$
$739$	10.1438	+	0.760170i	0.373144	+	0.0279633i	0.113162	+	0.993577i	$0.463902\pi$
$740$	0.406568	+	0.736548i	0.0149457	+	0.0270760i
$741$	6.90826	+	5.50915i	0.253781	+	0.202384i
$742$	9.71120	−	0.617753i	0.356509	−	0.0226784i
$743$	17.2959	+	21.6883i	0.634524	+	0.795667i	0.990306	−	0.138901i	$-0.0443571\pi$
$743$	17.2959	+	21.6883i	0.634524	+	0.795667i	−0.355783	+	0.934569i	$0.615786\pi$
$744$	1.24216	+	27.0096i	0.0455399	+	0.990221i
$745$	−3.77940	−	9.62975i	−0.138466	−	0.352807i
$746$	13.0192	−	1.83449i	0.476665	−	0.0671655i
$747$	−20.8880	+	1.56534i	−0.764251	+	0.0572727i
$748$	20.2297	−	40.0203i	0.739671	−	1.46329i
$749$	6.69535	+	6.23308i	0.244643	+	0.227752i
$750$	−7.74454	+	1.68947i	−0.282791	+	0.0616908i
$751$	−9.97837	−	1.50400i	−0.364116	−	0.0548817i	−0.0355636	−	0.999367i	$-0.511323\pi$
$751$	−9.97837	−	1.50400i	−0.364116	−	0.0548817i	−0.328552	+	0.944486i	$0.606561\pi$
$752$	−3.89949	−	3.90775i	−0.142200	−	0.142501i
$753$	−0.639402	+	1.10748i	−0.0233011	+	0.0403587i
$754$	9.54747	−	13.7183i	0.347698	−	0.499592i
$755$	−0.0290564	+	0.0603362i	−0.00105747	+	0.00219586i
$756$	6.01703	+	29.1566i	0.218837	+	1.06042i
$757$	−8.90065	−	18.4824i	−0.323500	−	0.671754i	0.674271	−	0.738484i	$-0.264458\pi$
$757$	−8.90065	−	18.4824i	−0.323500	−	0.671754i	−0.997771	+	0.0667296i	$0.978744\pi$
$758$	−4.92419	−	0.790692i	−0.178855	−	0.0287192i
$759$	30.6499	+	28.4389i	1.11252	+	1.03227i
$760$	1.21777	+	1.90175i	0.0441732	+	0.0689837i
$761$	−26.8259	−	18.2896i	−0.972439	−	0.662997i	−0.0307655	−	0.999527i	$-0.509795\pi$
$761$	−26.8259	−	18.2896i	−0.972439	−	0.662997i	−0.941673	+	0.336529i	$0.890747\pi$
$762$	5.26234	−	6.47016i	0.190634	−	0.234389i
$763$	−5.20016	−	22.9589i	−0.188258	−	0.831166i
$764$	−5.20041	+	2.38232i	−0.188144	+	0.0861891i
$765$	2.71757	−	1.56899i	0.0982541	−	0.0567270i
$766$	21.3767	+	1.80879i	0.772373	+	0.0653544i
$767$	−30.9826	+	21.1235i	−1.11872	+	0.762727i
$768$	−4.68550	−	20.7304i	−0.169073	−	0.748043i
$769$	12.0377	−	52.7406i	0.434090	−	1.90187i	0.00209716	−	0.999998i	$-0.499332\pi$
$769$	12.0377	−	52.7406i	0.434090	−	1.90187i	0.431993	−	0.901877i	$-0.357810\pi$
$770$	−3.11181	+	5.25218i	−0.112142	+	0.189275i
$771$	−5.47860	+	1.25046i	−0.197307	+	0.0450341i
$772$	−17.2849	−	12.2780i	−0.622098	−	0.441896i
$773$	7.69125	−	24.9344i	0.276635	−	0.896828i	−0.705510	−	0.708700i	$-0.749282\pi$
$773$	7.69125	−	24.9344i	0.276635	−	0.896828i	0.982145	−	0.188128i	$-0.0602420\pi$
$774$	−8.96713	−	8.48216i	−0.322317	−	0.304885i
$775$	33.1133	−	10.2141i	1.18946	−	0.366901i
$776$	13.7613	+	30.8191i	0.494003	+	1.10634i
$777$	2.33481	+	2.52471i	0.0837607	+	0.0905735i
$778$	−5.94476	+	24.9380i	−0.213130	+	0.894072i
$779$	3.67579	+	1.44264i	0.131699	+	0.0516880i
$780$	2.83956	−	2.94469i	0.101673	−	0.105437i
$781$	8.54155	+	56.6695i	0.305641	+	2.02779i
$782$	−64.2567	−	25.9346i	−2.29782	−	0.927418i
$783$	18.5642			0.663429
$784$	24.6978	+	13.1917i	0.882063	+	0.471132i
$785$	0.155294			0.00554267
$786$	−18.5265	−	7.47744i	−0.660817	−	0.266712i
$787$	−0.740310	−	4.91163i	−0.0263892	−	0.175081i	0.971754	−	0.235997i	$-0.0758357\pi$
$787$	−0.740310	−	4.91163i	−0.0263892	−	0.175081i	−0.998143	+	0.0609167i	$0.980598\pi$
$788$	22.5212	−	23.3550i	0.802286	−	0.831986i
$789$	4.74540	+	1.86243i	0.168941	+	0.0663044i
$790$	−1.31952	+	5.53534i	−0.0469464	+	0.196938i
$791$	1.74172	+	5.67994i	0.0619283	+	0.201955i
$792$	−12.1104	+	5.40755i	−0.430325	+	0.192149i
$793$	33.8141	−	10.4303i	1.20077	−	0.370389i
$794$	−3.32623	−	3.14634i	−0.118043	−	0.111659i
$795$	0.437749	−	1.41915i	0.0155254	−	0.0503320i
$796$	2.00032	+	1.42089i	0.0708993	+	0.0503621i
$797$	−26.5245	+	6.05404i	−0.939546	+	0.214445i	−0.664757	−	0.747059i	$-0.731465\pi$
$797$	−26.5245	+	6.05404i	−0.939546	+	0.214445i	−0.274789	+	0.961505i	$0.588608\pi$
$798$	6.69520	+	6.35418i	0.237008	+	0.224936i
$799$	−1.81434	+	7.94912i	−0.0641866	+	0.281220i
$800$	−24.2167	+	12.4701i	−0.856189	+	0.440886i
$801$	−6.82109	+	4.65054i	−0.241011	+	0.164319i
$802$	17.8885	+	1.51364i	0.631664	+	0.0534484i
$803$	25.8108	−	14.9018i	0.910842	−	0.525875i
$804$	−32.0086	+	14.6632i	−1.12886	+	0.517130i
$805$	8.49245	+	4.10712i	0.299320	+	0.144757i
$806$	−23.0012	+	28.2805i	−0.810184	+	0.996139i
$807$	−33.5198	−	22.8534i	−1.17995	−	0.804477i
$808$	24.1187	−	15.4442i	0.848493	−	0.543326i
$809$	22.6486	+	21.0148i	0.796282	+	0.738842i	0.969248	−	0.246086i	$-0.0791445\pi$
$809$	22.6486	+	21.0148i	0.796282	+	0.738842i	−0.172966	+	0.984928i	$0.555335\pi$
$810$	2.26118	+	0.363085i	0.0794499	+	0.0127575i
$811$	−13.9122	−	28.8891i	−0.488525	−	1.01443i	−0.988894	−	0.148620i	$-0.952517\pi$
$811$	−13.9122	−	28.8891i	−0.488525	−	1.01443i	0.500369	−	0.865812i	$-0.333198\pi$
$812$	11.1687	−	13.4203i	0.391946	−	0.470960i
$813$	2.24215	−	4.65588i	0.0786358	−	0.163289i
$814$	−3.00001	+	4.31058i	−0.105150	+	0.151086i
$815$	1.95402	−	3.38446i	0.0684463	−	0.118553i
$816$	−22.2195	+	22.1726i	−0.777837	+	0.776195i
$817$	−12.9728	−	1.95534i	−0.453862	−	0.0684087i
$818$	−23.3149	+	5.08615i	−0.815185	+	0.177833i
$819$	−5.87105	+	10.1301i	−0.205151	+	0.353975i
$820$	0.824720	−	1.63154i	0.0288005	−	0.0569757i
$821$	−17.0552	+	1.27811i	−0.595232	+	0.0446065i	−0.368940	−	0.929453i	$-0.620279\pi$
$821$	−17.0552	+	1.27811i	−0.595232	+	0.0446065i	−0.226292	+	0.974060i	$0.572660\pi$
$822$	−30.1836	+	4.25309i	−1.05278	+	0.148343i
$823$	17.1992	+	43.8228i	0.599525	+	1.52757i	0.831892	+	0.554937i	$0.187258\pi$
$823$	17.1992	+	43.8228i	0.599525	+	1.52757i	−0.232367	+	0.972628i	$0.574647\pi$
$824$	13.5895	−	0.624974i	0.473412	−	0.0217720i
$825$	−15.1351	−	18.9788i	−0.526937	−	0.660758i
$826$	−34.1429	+	19.2025i	−1.18798	+	0.668141i
$827$	16.4496	+	13.1182i	0.572010	+	0.456163i	0.866280	−	0.499560i	$-0.166505\pi$
$827$	16.4496	+	13.1182i	0.572010	+	0.456163i	−0.294269	+	0.955723i	$0.595076\pi$
$828$	9.90407	+	17.9424i	0.344190	+	0.623543i
$829$	−29.8169	−	2.23447i	−1.03558	−	0.0776062i	−0.453925	−	0.891040i	$-0.649977\pi$
$829$	−29.8169	−	2.23447i	−1.03558	−	0.0776062i	−0.581658	+	0.813434i	$0.697596\pi$
$830$	5.72415	+	8.57169i	0.198688	+	0.297528i
$831$	−22.5232	+	20.8984i	−0.781320	+	0.724959i
$832$	13.9002	−	25.0567i	0.481904	−	0.868685i
$833$	−2.95359	−	41.2488i	−0.102336	−	1.42919i
$834$	4.69887	+	10.0022i	0.162709	+	0.346347i
$835$	2.90875	+	3.13489i	0.100662	+	0.108487i
$836$	−7.28182	+	12.0704i	−0.251847	+	0.417463i
$837$	−40.3761	−	3.02577i	−1.39560	−	0.104586i
$838$	1.97597	+	30.2701i	0.0682589	+	1.04566i
$839$	−18.7696	+	23.5363i	−0.647998	+	0.812563i	−0.991978	−	0.126414i	$-0.959653\pi$
$839$	−18.7696	+	23.5363i	−0.647998	+	0.812563i	0.343980	+	0.938977i	$0.388225\pi$
$840$	3.21980	−	2.80975i	0.111094	−	0.0969456i
$841$	11.2931	+	14.1611i	0.389416	+	0.488313i
$842$	−15.3618	+	13.9812i	−0.529402	+	0.481825i
$843$	2.07485	−	0.814319i	0.0714616	−	0.0280466i
$844$	−17.3749	−	26.5678i	−0.598068	−	0.914500i
$845$	−0.0733151	+	0.00549421i	−0.00252212	+	0.000189007i
$846$	1.89978	−	1.48537i	0.0653158	−	0.0510681i
$847$	−8.97906	−	0.687868i	−0.308524	−	0.0236354i
$848$	0.399956	−	10.3950i	0.0137345	−	0.356966i
$849$	−23.4050	−	3.52774i	−0.803259	−	0.121072i
$850$	34.6453	+	20.4491i	1.18833	+	0.701399i
$851$	7.02806	+	4.05765i	0.240919	+	0.139094i
$852$	6.74071	−	39.5464i	0.230933	−	1.35484i
$853$	11.6774	−	24.2484i	0.399827	−	0.830249i	−0.599722	−	0.800209i	$-0.704722\pi$
$853$	11.6774	−	24.2484i	0.399827	−	0.830249i	0.999549	−	0.0300406i	$-0.00956367\pi$
$854$	36.1295	−	7.81891i	1.23633	−	0.267557i
$855$	−0.888770	+	0.428009i	−0.0303953	+	0.0146376i
$856$	7.35751	−	6.44206i	0.251475	−	0.220185i
$857$	−7.85909	−	7.29217i	−0.268461	−	0.249096i	0.534442	−	0.845205i	$-0.320522\pi$
$857$	−7.85909	−	7.29217i	−0.268461	−	0.249096i	−0.802903	+	0.596110i	$0.796712\pi$
$858$	24.3281	+	7.76115i	0.830548	+	0.264961i
$859$	−32.0695	+	47.0373i	−1.09420	+	1.60489i	−0.350247	+	0.936657i	$0.613902\pi$
$859$	−32.0695	+	47.0373i	−1.09420	+	1.60489i	−0.743950	+	0.668235i	$0.767050\pi$
$860$	−1.46515	+	5.89445i	−0.0499614	+	0.200999i
$861$	1.67486	−	7.28232i	0.0570789	−	0.248181i
$862$	0.0539692	−	5.61331i	0.00183820	−	0.191190i
$863$	2.11486	+	3.66304i	0.0719906	+	0.124691i	0.899774	−	0.436357i	$-0.143732\pi$
$863$	2.11486	+	3.66304i	0.0719906	+	0.124691i	−0.827783	+	0.561048i	$0.810398\pi$
$864$	31.6627	−	3.22576i	1.07719	−	0.109743i
$865$	2.92920	−	1.99709i	0.0995958	−	0.0679032i
$866$	−13.1289	−	44.0625i	−0.446139	−	1.49731i
$867$	23.1833	+	5.29145i	0.787347	+	0.179707i
$868$	−26.4788	+	27.3681i	−0.898750	+	0.928933i
$869$	−34.6313	+	7.90438i	−1.17479	+	0.268138i
$870$	−1.31012	−	2.32043i	−0.0444171	−	0.0786698i
$871$	−45.3583	−	13.9912i	−1.53691	−	0.474073i
$872$	−24.9825	+	3.03156i	−0.846014	+	0.102662i
$873$	−14.0887	+	4.34580i	−0.476832	+	0.147083i
$874$	19.5341	+	9.63955i	0.660750	+	0.326063i
$875$	−9.21366	−	6.30418i	−0.311479	−	0.213120i
$876$	−20.4251	+	4.25044i	−0.690099	+	0.143609i
$877$	−24.8853	−	9.76677i	−0.840318	−	0.329800i	−0.0941497	−	0.995558i	$-0.530013\pi$
$877$	−24.8853	−	9.76677i	−0.840318	−	0.329800i	−0.746168	+	0.665758i	$0.768108\pi$
$878$	−20.7593	+	7.91796i	−0.700593	+	0.267218i
$879$	−21.2390	+	3.20126i	−0.716372	+	0.107976i
$880$	5.24696	+	3.88101i	0.176875	+	0.130829i
$881$	36.5566			1.23162			0.615811	−	0.787894i	$-0.288828\pi$
$881$	36.5566			1.23162			0.615811	+	0.787894i	$0.288828\pi$
$882$	−7.02018	+	10.0159i	−0.236382	+	0.337254i
$883$		−	1.41828i		−	0.0477291i	−0.999715	−	0.0238645i	$-0.992403\pi$
$883$		−	1.41828i		−	0.0477291i	0.999715	−	0.0238645i	$-0.00759704\pi$
$884$	−42.2551	+	2.35060i	−1.42119	+	0.0790591i
$885$	0.891051	+	5.91174i	0.0299524	+	0.198721i
$886$	−3.63386	−	9.52725i	−0.122082	−	0.320074i
$887$	3.31074	−	8.43563i	0.111164	−	0.283241i	−0.864456	−	0.502709i	$-0.832337\pi$
$887$	3.31074	−	8.43563i	0.111164	−	0.283241i	0.975620	+	0.219468i	$0.0704321\pi$
$888$	2.93912	−	2.20826i	0.0986303	−	0.0741045i
$889$	11.7147	−	0.858353i	0.392897	−	0.0287882i
$890$	3.64295	+	1.79770i	0.122112	+	0.0602591i
$891$	4.21382	+	13.6609i	0.141168	+	0.457657i
$892$	−29.3592	−	9.67813i	−0.983019	−	0.324048i
$893$	0.755504	−	2.44928i	0.0252820	−	0.0819622i
$894$	−39.3631	+	22.2245i	−1.31650	+	0.743297i
$895$	−0.620535	−	2.71874i	−0.0207422	−	0.0908775i
$896$	16.7172	−	24.8301i	0.558484	−	0.829515i
$897$	8.78060	−	38.4703i	0.293176	−	1.28449i
$898$	9.78447	+	32.8381i	0.326512	+	1.09582i
$899$	13.3765	+	19.6197i	0.446130	+	0.654353i
$900$	−4.13330	−	11.1577i	−0.137777	−	0.371923i
$901$	−13.3058	+	7.68210i	−0.443280	+	0.255928i
$902$	11.4114	+	0.109715i	0.379958	+	0.00365311i
$903$	−0.0411829	+	24.8265i	−0.00137048	+	0.826173i
$904$	6.23013	−	1.23412i	0.207211	−	0.0410461i
$905$	6.87298	+	4.68592i	0.228466	+	0.155765i
$906$	0.278787	+	0.0889385i	0.00926208	+	0.00295479i
$907$	−19.6462	+	21.1735i	−0.652340	+	0.703056i	−0.969438	−	0.245337i	$-0.921101\pi$
$907$	−19.6462	+	21.1735i	−0.652340	+	0.703056i	0.317097	+	0.948393i	$0.397292\pi$
$908$	12.4842	+	43.4198i	0.414302	+	1.44094i
$909$	5.42817	+	11.2717i	0.180041	+	0.373859i
$910$	5.76108	+	0.0649476i	0.190978	+	0.00215299i
$911$	14.7093	+	7.08363i	0.487341	+	0.234691i	0.661385	−	0.750047i	$-0.269969\pi$
$911$	14.7093	+	7.08363i	0.487341	+	0.234691i	−0.174044	+	0.984738i	$0.555683\pi$
$912$	7.48629	−	6.42872i	0.247896	−	0.212876i
$913$	−32.1710	+	55.7218i	−1.06470	+	1.84412i
$914$	−30.1473	−	17.7942i	−0.997184	−	0.588579i
$915$	0.840862	−	5.57875i	0.0277980	−	0.184428i
$916$	−16.2468	+	12.4530i	−0.536810	+	0.411459i
$917$	−10.2365	−	26.2098i	−0.338038	−	0.865525i
$918$	−28.9531	−	37.0309i	−0.955595	−	1.22220i
$919$	0.671484	+	8.96034i	0.0221502	+	0.295574i	0.997267	+	0.0738823i	$0.0235389\pi$
$919$	0.671484	+	8.96034i	0.0221502	+	0.295574i	−0.975117	+	0.221692i	$0.928842\pi$
$920$	5.29216	−	8.58464i	0.174478	−	0.283027i
$921$	−11.0245	−	28.0901i	−0.363271	−	0.925599i
$922$	12.8369	−	11.6832i	0.422760	−	0.384767i
$923$	42.2863	−	33.7222i	1.39187	−	1.10998i
$924$	24.6231	+	10.2624i	0.810041	+	0.337608i
$925$	−3.68366	−	2.93762i	−0.121118	−	0.0965885i
$926$	14.3102	−	0.934146i	0.470264	−	0.0306979i
$927$	−0.444086	+	5.92592i	−0.0145857	+	0.194633i
$928$	−13.0568	−	13.3385i	−0.428610	−	0.437856i
$929$	−14.1030	+	13.0857i	−0.462704	+	0.429326i	−0.876762	−	0.480924i	$-0.840301\pi$
$929$	−14.1030	+	13.0857i	−0.462704	+	0.429326i	0.414059	+	0.910250i	$0.364111\pi$
$930$	2.47123	+	5.26035i	0.0810349	+	0.172494i
$931$	−0.0431303	+	13.0002i	−0.00141354	+	0.426063i
$932$	−13.7027	+	16.5208i	−0.448848	+	0.541156i
$933$	19.6271	+	21.1530i	0.642564	+	0.692519i
$934$	−12.0088	+	8.01945i	−0.392940	+	0.262404i
$935$	0.720324	−	9.61206i	0.0235571	−	0.314348i
$936$	10.1343	+	7.34633i	0.331250	+	0.240122i
$937$	20.4695	−	25.6680i	0.668711	−	0.838536i	−0.325550	−	0.945525i	$-0.605549\pi$
$937$	20.4695	−	25.6680i	0.668711	−	0.838536i	0.994260	+	0.106988i	$0.0341208\pi$
$938$	−45.9513	−	18.6351i	−1.50036	−	0.608456i
$939$	−8.64232	+	6.89202i	−0.282032	+	0.224913i
$940$	−1.09608	−	0.454692i	−0.0357503	−	0.0148304i
$941$	46.9618	−	18.4311i	1.53091	−	0.600838i	0.557555	−	0.830140i	$-0.311740\pi$
$941$	46.9618	−	18.4311i	1.53091	−	0.600838i	0.973355	+	0.229302i	$0.0736445\pi$
$942$	−0.0946820	−	0.671946i	−0.00308491	−	0.0218932i
$943$	−1.31781	−	17.5850i	−0.0429138	−	0.572645i
$944$	16.7057	+	38.4006i	0.543724	+	1.24983i
$945$	3.59610	+	5.29335i	0.116981	+	0.172193i
$946$	−37.0439	+	8.08113i	−1.20440	+	0.262740i
$947$	−2.11576	+	14.0372i	−0.0687530	+	0.456146i	0.927792	+	0.373097i	$0.121704\pi$
$947$	−2.11576	+	14.0372i	−0.0687530	+	0.456146i	−0.996545	+	0.0830494i	$0.973534\pi$
$948$	24.7556	+	2.33461i	0.804024	+	0.0758246i
$949$	−24.3590	−	14.0637i	−0.790727	−	0.456526i
$950$	−10.3803	−	7.22433i	−0.336781	−	0.234388i
$951$	2.45607	+	1.18278i	0.0796436	+	0.0383543i
$952$	−44.1892	−	1.34825i	−1.43218	−	0.0436971i
$953$	−32.4399	+	15.6222i	−1.05083	+	0.506053i	−0.877882	−	0.478877i	$-0.841044\pi$
$953$	−32.4399	+	15.6222i	−1.05083	+	0.506053i	−0.172949	+	0.984931i	$0.555330\pi$
$954$	4.48671	+	0.720445i	0.145263	+	0.0233253i
$955$	−0.836306	+	0.901323i	−0.0270622	+	0.0291661i
$956$	−48.3618	+	6.34095i	−1.56413	+	0.205081i
$957$	9.37042	−	13.7439i	0.302903	−	0.444277i
$958$	26.0769	+	21.2090i	0.842506	+	0.685230i
$959$	−33.5202	−	26.8225i	−1.08242	−	0.866144i
$960$	−2.63771	−	3.73002i	−0.0851318	−	0.120386i
$961$	−10.3954	−	18.0053i	−0.335334	−	0.580815i
$962$	4.93874	+	0.417892i	0.159231	+	0.0134734i
$963$	2.40641	+	3.52956i	0.0775455	+	0.113738i
$964$	35.6568	−	31.8310i	1.14843	−	1.02521i
$965$	−4.44312	−	1.01411i	−0.143029	−	0.0326454i
$966$	12.5934	−	39.2504i	0.405187	−	1.26286i
$967$	−4.87052	−	21.3391i	−0.156625	−	0.686221i	−0.990869	−	0.134825i	$-0.956953\pi$
$967$	−4.87052	−	21.3391i	−0.156625	−	0.686221i	0.834244	−	0.551395i	$-0.185904\pi$
$968$	−1.70879	+	9.47428i	−0.0549225	+	0.304515i
$969$	−13.9267	−	4.29581i	−0.447389	−	0.138001i
$970$	5.27063	+	4.98558i	0.169230	+	0.160077i
$971$	1.69153	+	5.48380i	0.0542838	+	0.175984i	0.978655	−	0.205511i	$-0.0658857\pi$
$971$	1.69153	+	5.48380i	0.0542838	+	0.175984i	−0.924371	+	0.381495i	$0.875409\pi$
$972$	−0.456645	+	23.7455i	−0.0146469	+	0.761639i
$973$	−5.71026	+	14.4788i	−0.183063	+	0.464170i
$974$	−32.7778	−	7.81360i	−1.05027	−	0.250364i
$975$	−8.36977	+	21.3258i	−0.268047	+	0.682973i
$976$	−4.38313	−	39.2744i	−0.140301	−	1.25714i
$977$	0.360435	−	0.0543269i	0.0115313	−	0.00173807i	−0.143274	−	0.989683i	$-0.545763\pi$
$977$	0.360435	−	0.0543269i	0.0115313	−	0.00173807i	0.154805	+	0.987945i	$0.450525\pi$
$978$	−15.8357	−	6.39144i	−0.506371	−	0.204376i
$979$			25.3589i			0.810473i
$980$	5.99016	+	0.584966i	0.191349	+	0.0186861i
$981$		−	10.9931i		−	0.350983i
$982$	15.1347	−	37.4984i	0.482967	−	1.19662i
$983$	21.5491	−	3.24800i	0.687309	−	0.103595i	0.203903	−	0.978991i	$-0.434637\pi$
$983$	21.5491	−	3.24800i	0.687309	−	0.103595i	0.483407	+	0.875396i	$0.339399\pi$
$984$	−7.56239	−	2.57377i	−0.241080	−	0.0820489i
$985$	2.54791	−	6.49196i	0.0811831	−	0.206851i
$986$	−6.39248	+	26.8162i	−0.203578	+	0.854003i
$987$	−4.79503	−	0.730871i	−0.152627	−	0.0232639i
$988$	13.3014	+	0.255797i	0.423175	+	0.00813799i
$989$	17.2692	+	55.9853i	0.549128	+	1.78023i
$990$	−1.95909	+	2.07110i	−0.0622640	+	0.0658240i
$991$	20.0605	+	6.18784i	0.637242	+	0.196563i	0.596508	−	0.802607i	$-0.296554\pi$
$991$	20.0605	+	6.18784i	0.637242	+	0.196563i	0.0407336	+	0.999170i	$0.487030\pi$
$992$	26.2238	+	31.1386i	0.832607	+	0.988652i
$993$	−6.09224	−	26.6919i	−0.193332	−	0.847041i
$994$	47.0389	−	31.2997i	1.49198	−	0.992767i
$995$	0.514184	+	0.117359i	0.0163007	+	0.00372054i
$996$	33.5992	−	29.9942i	1.06463	−	0.950402i
$997$	−28.0713	−	41.1730i	−0.889027	−	1.30396i	−0.952047	−	0.305951i	$-0.901026\pi$
$997$	−28.0713	−	41.1730i	−0.889027	−	1.30396i	0.0630204	−	0.998012i	$-0.479927\pi$
$998$	4.63154	−	54.7366i	0.146609	−	1.73266i
$999$	2.75257	+	4.76760i	0.0870875	+	0.150840i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	392.2.z.a.109.6	✓	648
8.5	even	2	inner	392.2.z.a.109.33	yes	648
49.9	even	21	inner	392.2.z.a.205.33	yes	648
392.205	even	42	inner	392.2.z.a.205.6	yes	648

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
392.2.z.a.109.6	✓	648	1.1	even	1	trivial
392.2.z.a.109.33	yes	648	8.5	even	2	inner
392.2.z.a.205.6	yes	648	392.205	even	42	inner
392.2.z.a.205.33	yes	648	49.9	even	21	inner

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:	\( N \)	\(=\)	\( 392 = 2^{3} \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	392.z (of order \(42\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.31143 - 0.529303i) q^{2} +(0.197978 + 1.31349i) q^{3} +(1.43968 + 1.38828i) q^{4} +(0.400186 + 0.157061i) q^{5} +(0.435604 - 1.82734i) q^{6} +(2.29348 - 1.31907i) q^{7} +(-1.15321 - 2.58266i) q^{8} +(1.18064 - 0.364181i) q^{9} +(-0.441681 - 0.417794i) q^{10} +(1.11866 - 3.62661i) q^{11} +(-1.53848 + 2.16586i) q^{12} +(-3.49195 + 0.797016i) q^{13} +(-3.70592 + 0.515922i) q^{14} +(-0.127072 + 0.556737i) q^{15} +(0.145340 + 3.99736i) q^{16} +(4.88123 - 3.32797i) q^{17} +(-1.74109 - 0.147323i) q^{18} +(-1.60836 + 0.928587i) q^{19} +(0.358093 + 0.781689i) q^{20} +(2.18665 + 2.75133i) q^{21} +(-3.38662 + 4.16392i) q^{22} +(6.85261 + 4.67203i) q^{23} +(3.16400 - 2.02604i) q^{24} +(-3.52978 - 3.27516i) q^{25} +(5.00130 + 0.803074i) q^{26} +(2.44111 + 5.06903i) q^{27} +(5.13312 + 1.28496i) q^{28} +(1.43164 - 2.97283i) q^{29} +(0.461328 - 0.662860i) q^{30} +(-3.59829 + 6.23242i) q^{31} +(1.92521 - 5.31917i) q^{32} +(4.98500 + 0.751369i) q^{33} +(-8.16288 + 1.78073i) q^{34} +(1.12499 - 0.167657i) q^{35} +(2.20533 + 1.11477i) q^{36} +(0.975748 - 0.0731222i) q^{37} +(2.60075 - 0.366464i) q^{38} +(-1.73820 - 4.42887i) q^{39} +(-0.0558621 - 1.21467i) q^{40} +(-1.32567 - 1.66234i) q^{41} +(-1.41135 - 4.76556i) q^{42} +(5.52298 + 4.40443i) q^{43} +(6.64527 - 3.66813i) q^{44} +(0.529676 + 0.0396937i) q^{45} +(-6.51378 - 9.75413i) q^{46} +(-1.01171 + 0.938733i) q^{47} +(-5.22174 + 0.982291i) q^{48} +(3.52009 - 6.05053i) q^{49} +(2.89549 + 6.16345i) q^{50} +(5.33764 + 5.75261i) q^{51} +(-6.13377 - 3.70038i) q^{52} +(-2.59340 - 0.194349i) q^{53} +(-0.518291 - 7.93974i) q^{54} +(1.01727 - 1.27562i) q^{55} +(-6.05157 - 4.40210i) q^{56} +(-1.53811 - 1.92873i) q^{57} +(-3.45102 + 3.14088i) q^{58} +(9.74555 - 3.82485i) q^{59} +(-0.955851 + 0.625110i) q^{60} +(-9.85193 + 0.738300i) q^{61} +(8.01773 - 6.26877i) q^{62} +(2.22740 - 2.39260i) q^{63} +(-5.34022 + 5.95668i) q^{64} +(-1.52261 - 0.229497i) q^{65} +(-6.13976 - 3.62394i) q^{66} +(11.4770 + 6.62623i) q^{67} +(11.6476 + 1.98533i) q^{68} +(-4.78003 + 9.92583i) q^{69} +(-1.56409 - 0.375592i) q^{70} +(-13.6050 + 6.55184i) q^{71} +(-2.30208 - 2.62922i) q^{72} +(5.75662 + 5.34136i) q^{73} +(-1.31833 - 0.420572i) q^{74} +(3.60308 - 5.28475i) q^{75} +(-3.60466 - 0.895994i) q^{76} +(-2.21814 - 9.79315i) q^{77} +(-0.0646881 + 6.72818i) q^{78} +(-4.67982 - 8.10569i) q^{79} +(-0.569668 + 1.62251i) q^{80} +(-3.11231 + 2.12194i) q^{81} +(0.858640 + 2.88172i) q^{82} +(-16.5284 - 3.77249i) q^{83} +(-0.671546 + 6.99672i) q^{84} +(2.47610 - 0.565153i) q^{85} +(-4.91170 - 8.69941i) q^{86} +(4.18823 + 1.29190i) q^{87} +(-10.6563 + 1.29312i) q^{88} +(-6.38494 + 1.96949i) q^{89} +(-0.673621 - 0.332415i) q^{90} +(-6.95740 + 6.43408i) q^{91} +(3.37945 + 16.2396i) q^{92} +(-8.89863 - 3.49245i) q^{93} +(1.82366 - 0.695576i) q^{94} +(-0.789489 + 0.118996i) q^{95} +(7.36785 + 1.47568i) q^{96} -11.9331 q^{97} +(-7.81891 + 6.07163i) q^{98} -4.68913i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9} - 6 q^{10} - 47 q^{12} - 33 q^{14} - 8 q^{15} - 17 q^{16} - 26 q^{17} - 8 q^{18} - 22 q^{20} - 18 q^{22} - 26 q^{23} - 74 q^{24} - 72 q^{25}+ \cdots + 151 q^{98}+O(q^{100}) \) 648 * q - 13 * q^2 - 13 * q^4 - 6 * q^6 - 24 * q^7 - 16 * q^8 - 76 * q^9 - 6 * q^10 - 47 * q^12 - 33 * q^14 - 8 * q^15 - 17 * q^16 - 26 * q^17 - 8 * q^18 - 22 * q^20 - 18 * q^22 - 26 * q^23 - 74 * q^24 - 72 * q^25 - 12 * q^26 + 2 * q^28 - 11 * q^30 + 60 * q^31 - 13 * q^32 - 14 * q^33 - 18 * q^34 + 8 * q^36 - 46 * q^38 - 32 * q^39 + 32 * q^40 - 20 * q^41 - 36 * q^42 + 38 * q^44 - 22 * q^46 - 58 * q^47 + 28 * q^48 - 16 * q^49 - 132 * q^50 + 18 * q^52 - 37 * q^54 - 32 * q^55 + 96 * q^56 - 66 * q^57 + 100 * q^60 + 28 * q^62 - 72 * q^63 - 28 * q^64 - 36 * q^65 - 4 * q^66 - 11 * q^68 - 36 * q^70 + 60 * q^71 - 130 * q^72 - 18 * q^73 - 12 * q^74 + 11 * q^76 - 132 * q^78 - 12 * q^79 - 64 * q^80 - 58 * q^81 + 152 * q^82 - 224 * q^84 + 55 * q^86 - 8 * q^87 - 169 * q^88 - 18 * q^89 + 144 * q^90 - 54 * q^92 + 154 * q^94 - 64 * q^95 - 142 * q^96 - 96 * q^97 + 151 * q^98

Introduction

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