LMFDB - Embedded newform 170.2.r.b.97.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [170,2,Mod(23,170)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(170, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([12, 15]))

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

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

chi := DirichletCharacter("170.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 170 = 2 \cdot 5 \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	170.r (of order $16$, degree $8$, 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:	$1.35745683436$
Analytic rank:	$0$
Dimension:	$40$
Relative dimension:	$5$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			97.4
Character	$\chi$	$=$	170.97
Dual form			170.2.r.b.163.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.382683 - 0.923880i) q^{2} +(0.372511 - 1.87274i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(2.21955 + 0.271292i) q^{5} +(-1.58763 - 1.06082i) q^{6} +(-0.930986 - 0.622065i) q^{7} +(-0.923880 + 0.382683i) q^{8} +(-0.596748 - 0.247181i) q^{9} +O(q^{10})$	\(q+(0.382683 - 0.923880i) q^{2} +(0.372511 - 1.87274i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(2.21955 + 0.271292i) q^{5} +(-1.58763 - 1.06082i) q^{6} +(-0.930986 - 0.622065i) q^{7} +(-0.923880 + 0.382683i) q^{8} +(-0.596748 - 0.247181i) q^{9} +(1.10003 - 1.94678i) q^{10} +(-1.86658 + 2.79353i) q^{11} +(-1.58763 + 1.06082i) q^{12} -1.47498 q^{13} +(-0.930986 + 0.622065i) q^{14} +(1.33487 - 4.05558i) q^{15} +1.00000i q^{16} +(3.90333 - 1.32816i) q^{17} +(-0.456731 + 0.456731i) q^{18} +(-4.07173 + 1.68657i) q^{19} +(-1.37763 - 1.76129i) q^{20} +(-1.51177 + 1.51177i) q^{21} +(1.86658 + 2.79353i) q^{22} +(-2.92333 + 0.581487i) q^{23} +(0.372511 + 1.87274i) q^{24} +(4.85280 + 1.20429i) q^{25} +(-0.564452 + 1.36271i) q^{26} +(2.49726 - 3.73742i) q^{27} +(0.218440 + 1.09817i) q^{28} +(3.34034 + 0.664436i) q^{29} +(-3.23603 - 2.78526i) q^{30} +(2.94997 + 4.41494i) q^{31} +(0.923880 + 0.382683i) q^{32} +(4.53624 + 4.53624i) q^{33} +(0.266683 - 4.11447i) q^{34} +(-1.89761 - 1.63327i) q^{35} +(0.247181 + 0.596748i) q^{36} +(8.28790 + 1.64857i) q^{37} +4.40721i q^{38} +(-0.549448 + 2.76226i) q^{39} +(-2.15442 + 0.598743i) q^{40} +(-10.6198 + 2.11241i) q^{41} +(0.818163 + 1.97522i) q^{42} +(2.55191 + 6.16087i) q^{43} +(3.29520 - 0.655456i) q^{44} +(-1.25745 - 0.710524i) q^{45} +(-0.581487 + 2.92333i) q^{46} -6.49819i q^{47} +(1.87274 + 0.372511i) q^{48} +(-2.19901 - 5.30889i) q^{49} +(2.96971 - 4.02254i) q^{50} +(-1.03326 - 7.80467i) q^{51} +(1.04297 + 1.04297i) q^{52} +(-5.24831 - 2.17392i) q^{53} +(-2.49726 - 3.73742i) q^{54} +(-4.90083 + 5.69400i) q^{55} +(1.09817 + 0.218440i) q^{56} +(1.64173 + 8.25356i) q^{57} +(1.89215 - 2.83181i) q^{58} +(0.784600 - 1.89419i) q^{59} +(-3.81162 + 1.92383i) q^{60} +(0.266612 + 1.34035i) q^{61} +(5.20778 - 1.03589i) q^{62} +(0.401801 + 0.601338i) q^{63} +(0.707107 - 0.707107i) q^{64} +(-3.27380 - 0.400152i) q^{65} +(5.92688 - 2.45499i) q^{66} +(-7.14013 + 7.14013i) q^{67} +(-3.69922 - 1.82092i) q^{68} +5.69125i q^{69} +(-2.23513 + 1.12813i) q^{70} +(1.30903 - 0.874669i) q^{71} +0.645915 q^{72} +(-10.5401 + 7.04265i) q^{73} +(4.69472 - 7.02615i) q^{74} +(4.06305 - 8.63942i) q^{75} +(4.07173 + 1.68657i) q^{76} +(3.47552 - 1.43961i) q^{77} +(2.34173 + 1.56469i) q^{78} +(-6.00351 - 4.01142i) q^{79} +(-0.271292 + 2.21955i) q^{80} +(-7.43914 - 7.43914i) q^{81} +(-2.11241 + 10.6198i) q^{82} +(4.89429 - 11.8159i) q^{83} +2.13796 q^{84} +(9.02396 - 1.88897i) q^{85} +6.66847 q^{86} +(2.48863 - 6.00808i) q^{87} +(0.655456 - 3.29520i) q^{88} +(-5.20222 - 5.20222i) q^{89} +(-1.13765 + 0.889830i) q^{90} +(1.37319 + 0.917536i) q^{91} +(2.47828 + 1.65593i) q^{92} +(9.36692 - 3.87991i) q^{93} +(-6.00354 - 2.48675i) q^{94} +(-9.49496 + 2.63879i) q^{95} +(1.06082 - 1.58763i) q^{96} +(-8.14284 + 5.44087i) q^{97} -5.74630 q^{98} +(1.80439 - 1.20565i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q+O(q^{10}) $ 40 * q	$ 40 q - 16 q^{10} - 16 q^{18} + 8 q^{25} - 8 q^{26} + 24 q^{27} - 8 q^{28} + 8 q^{29} + 16 q^{30} - 16 q^{31} - 32 q^{33} + 8 q^{34} - 32 q^{35} - 32 q^{39} - 56 q^{41} - 24 q^{42} + 16 q^{43} + 16 q^{44} + 24 q^{45} + 16 q^{49} - 32 q^{51} - 16 q^{52} + 16 q^{53} - 24 q^{54} - 8 q^{55} - 8 q^{56} - 120 q^{57} + 16 q^{58} + 8 q^{60} + 24 q^{61} - 8 q^{62} - 24 q^{63} - 32 q^{65} + 16 q^{67} - 8 q^{70} + 24 q^{71} + 56 q^{72} + 88 q^{73} + 32 q^{74} + 8 q^{75} + 24 q^{77} + 32 q^{78} - 104 q^{79} + 8 q^{80} + 48 q^{81} + 16 q^{82} + 16 q^{83} + 136 q^{85} + 96 q^{86} + 136 q^{87} - 16 q^{89} + 24 q^{90} + 48 q^{91} - 8 q^{92} - 8 q^{93} - 8 q^{94} - 136 q^{95} + 16 q^{97} + 72 q^{98} + 160 q^{99}+O(q^{100}) $ 40 * q - 16 * q^10 - 16 * q^18 + 8 * q^25 - 8 * q^26 + 24 * q^27 - 8 * q^28 + 8 * q^29 + 16 * q^30 - 16 * q^31 - 32 * q^33 + 8 * q^34 - 32 * q^35 - 32 * q^39 - 56 * q^41 - 24 * q^42 + 16 * q^43 + 16 * q^44 + 24 * q^45 + 16 * q^49 - 32 * q^51 - 16 * q^52 + 16 * q^53 - 24 * q^54 - 8 * q^55 - 8 * q^56 - 120 * q^57 + 16 * q^58 + 8 * q^60 + 24 * q^61 - 8 * q^62 - 24 * q^63 - 32 * q^65 + 16 * q^67 - 8 * q^70 + 24 * q^71 + 56 * q^72 + 88 * q^73 + 32 * q^74 + 8 * q^75 + 24 * q^77 + 32 * q^78 - 104 * q^79 + 8 * q^80 + 48 * q^81 + 16 * q^82 + 16 * q^83 + 136 * q^85 + 96 * q^86 + 136 * q^87 - 16 * q^89 + 24 * q^90 + 48 * q^91 - 8 * q^92 - 8 * q^93 - 8 * q^94 - 136 * q^95 + 16 * q^97 + 72 * q^98 + 160 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/170\mathbb{Z}\right)^\times$.

$n$	$71$	$137$
$\chi(n)$	$e\left(\frac{13}{16}\right)$	$e\left(\frac{1}{4}\right)$

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 $

$2$	0.382683	−	0.923880i	0.270598	−	0.653281i
$2$	0.382683	−	0.923880i	0.270598	−	0.653281i
$3$	0.372511	−	1.87274i	0.215069	−	1.08123i	−0.710803	−	0.703391i	$-0.751668\pi$
$3$	0.372511	−	1.87274i	0.215069	−	1.08123i	0.925873	−	0.377836i	$-0.123332\pi$
$4$	−0.707107	−	0.707107i	−0.353553	−	0.353553i
$5$	2.21955	+	0.271292i	0.992613	+	0.121326i
$5$	2.21955	+	0.271292i	0.992613	+	0.121326i
$6$	−1.58763	−	1.06082i	−0.648148	−	0.433079i
$7$	−0.930986	−	0.622065i	−0.351880	−	0.235118i	0.367050	−	0.930201i	$-0.380368\pi$
$7$	−0.930986	−	0.622065i	−0.351880	−	0.235118i	−0.718930	+	0.695083i	$0.755368\pi$
$8$	−0.923880	+	0.382683i	−0.326641	+	0.135299i
$9$	−0.596748	−	0.247181i	−0.198916	−	0.0823937i
$10$	1.10003	−	1.94678i	0.347859	−	0.615625i
$11$	−1.86658	+	2.79353i	−0.562795	+	0.842282i	−0.998323	−	0.0578930i	$-0.981562\pi$
$11$	−1.86658	+	2.79353i	−0.562795	+	0.842282i	0.435528	+	0.900175i	$0.356562\pi$
$12$	−1.58763	+	1.06082i	−0.458310	+	0.306233i
$13$	−1.47498			−0.409087			−0.204543	−	0.978857i	$-0.565571\pi$
$13$	−1.47498			−0.409087			−0.204543	+	0.978857i	$0.565571\pi$
$14$	−0.930986	+	0.622065i	−0.248816	+	0.166254i
$15$	1.33487	−	4.05558i	0.344661	−	1.04715i
$16$			1.00000i			0.250000i
$17$	3.90333	−	1.32816i	0.946697	−	0.322125i
$17$	3.90333	−	1.32816i	0.946697	−	0.322125i
$18$	−0.456731	+	0.456731i	−0.107653	+	0.107653i
$19$	−4.07173	+	1.68657i	−0.934119	+	0.386925i	−0.797240	−	0.603663i	$-0.793707\pi$
$19$	−4.07173	+	1.68657i	−0.934119	+	0.386925i	−0.136880	+	0.990588i	$0.543707\pi$
$20$	−1.37763	−	1.76129i	−0.308047	−	0.393837i
$21$	−1.51177	+	1.51177i	−0.329895	+	0.329895i
$22$	1.86658	+	2.79353i	0.397956	+	0.595583i
$23$	−2.92333	+	0.581487i	−0.609557	+	0.121248i	−0.490210	−	0.871604i	$-0.663080\pi$
$23$	−2.92333	+	0.581487i	−0.609557	+	0.121248i	−0.119347	+	0.992853i	$0.538080\pi$
$24$	0.372511	+	1.87274i	0.0760385	+	0.382271i
$25$	4.85280	+	1.20429i	0.970560	+	0.240859i
$26$	−0.564452	+	1.36271i	−0.110698	+	0.267249i
$27$	2.49726	−	3.73742i	0.480599	−	0.719267i
$28$	0.218440	+	1.09817i	0.0412813	+	0.207535i
$29$	3.34034	+	0.664436i	0.620286	+	0.123383i	0.495223	−	0.868766i	$-0.335086\pi$
$29$	3.34034	+	0.664436i	0.620286	+	0.123383i	0.125064	+	0.992149i	$0.460086\pi$
$30$	−3.23603	−	2.78526i	−0.590816	−	0.508516i
$31$	2.94997	+	4.41494i	0.529830	+	0.792947i	0.995771	−	0.0918692i	$-0.0292842\pi$
$31$	2.94997	+	4.41494i	0.529830	+	0.792947i	−0.465941	+	0.884816i	$0.654284\pi$
$32$	0.923880	+	0.382683i	0.163320	+	0.0676495i
$33$	4.53624	+	4.53624i	0.789658	+	0.789658i
$34$	0.266683	−	4.11447i	0.0457357	−	0.705626i
$35$	−1.89761	−	1.63327i	−0.320754	−	0.276074i
$36$	0.247181	+	0.596748i	0.0411968	+	0.0994580i
$37$	8.28790	+	1.64857i	1.36252	+	0.271023i	0.821607	−	0.570054i	$-0.193078\pi$
$37$	8.28790	+	1.64857i	1.36252	+	0.271023i	0.540916	+	0.841077i	$0.318078\pi$
$38$			4.40721i			0.714944i
$39$	−0.549448	+	2.76226i	−0.0879820	+	0.442316i
$40$	−2.15442	+	0.598743i	−0.340643	+	0.0946696i
$41$	−10.6198	+	2.11241i	−1.65853	+	0.329902i	−0.933435	−	0.358746i	$-0.883205\pi$
$41$	−10.6198	+	2.11241i	−1.65853	+	0.329902i	−0.725096	+	0.688648i	$0.758205\pi$
$42$	0.818163	+	1.97522i	0.126245	+	0.304783i
$43$	2.55191	+	6.16087i	0.389163	+	0.939523i	0.990118	+	0.140240i	$0.0447874\pi$
$43$	2.55191	+	6.16087i	0.389163	+	0.939523i	−0.600954	+	0.799283i	$0.705213\pi$
$44$	3.29520	−	0.655456i	0.496770	−	0.0988137i
$45$	−1.25745	−	0.710524i	−0.187450	−	0.105919i
$46$	−0.581487	+	2.92333i	−0.0857355	+	0.431022i
$47$		−	6.49819i		−	0.947858i	−0.880563	−	0.473929i	$-0.842835\pi$
$47$		−	6.49819i		−	0.947858i	0.880563	−	0.473929i	$-0.157165\pi$
$48$	1.87274	+	0.372511i	0.270307	+	0.0537673i
$49$	−2.19901	−	5.30889i	−0.314145	−	0.758413i
$50$	2.96971	−	4.02254i	0.419980	−	0.568873i
$51$	−1.03326	−	7.80467i	−0.144685	−	1.09287i
$52$	1.04297	+	1.04297i	0.144634	+	0.144634i
$53$	−5.24831	−	2.17392i	−0.720910	−	0.298611i	−0.00809955	−	0.999967i	$-0.502578\pi$
$53$	−5.24831	−	2.17392i	−0.720910	−	0.298611i	−0.712811	+	0.701356i	$0.752578\pi$
$54$	−2.49726	−	3.73742i	−0.339834	−	0.508598i
$55$	−4.90083	+	5.69400i	−0.660828	+	0.767779i
$56$	1.09817	+	0.218440i	0.146749	+	0.0291903i
$57$	1.64173	+	8.25356i	0.217453	+	1.09321i
$58$	1.89215	−	2.83181i	0.248452	−	0.371834i
$59$	0.784600	−	1.89419i	0.102146	−	0.246603i	−0.864542	−	0.502561i	$-0.832391\pi$
$59$	0.784600	−	1.89419i	0.102146	−	0.246603i	0.966688	+	0.255959i	$0.0823911\pi$
$60$	−3.81162	+	1.92383i	−0.492078	+	0.248366i
$61$	0.266612	+	1.34035i	0.0341362	+	0.171614i	0.994093	−	0.108535i	$-0.0346160\pi$
$61$	0.266612	+	1.34035i	0.0341362	+	0.171614i	−0.959956	+	0.280149i	$0.909616\pi$
$62$	5.20778	−	1.03589i	0.661388	−	0.131558i
$63$	0.401801	+	0.601338i	0.0506222	+	0.0757615i
$64$	0.707107	−	0.707107i	0.0883883	−	0.0883883i
$65$	−3.27380	−	0.400152i	−0.406065	−	0.0496327i
$66$	5.92688	−	2.45499i	0.729549	−	0.302189i
$67$	−7.14013	+	7.14013i	−0.872306	+	0.872306i	−0.992723	−	0.120418i	$-0.961577\pi$
$67$	−7.14013	+	7.14013i	−0.872306	+	0.872306i	0.120418	+	0.992723i	$0.461577\pi$
$68$	−3.69922	−	1.82092i	−0.448596	−	0.220819i
$69$			5.69125i			0.685146i
$70$	−2.23513	+	1.12813i	−0.267149	+	0.134838i
$71$	1.30903	−	0.874669i	0.155354	−	0.103804i	−0.475464	−	0.879735i	$-0.657720\pi$
$71$	1.30903	−	0.874669i	0.155354	−	0.103804i	0.630817	+	0.775931i	$0.282720\pi$
$72$	0.645915			0.0761219
$73$	−10.5401	+	7.04265i	−1.23362	+	0.824280i	−0.989368	−	0.145431i	$-0.953543\pi$
$73$	−10.5401	+	7.04265i	−1.23362	+	0.824280i	−0.244254	+	0.969711i	$0.578543\pi$
$74$	4.69472	−	7.02615i	0.545750	−	0.816773i
$75$	4.06305	−	8.63942i	0.469161	−	0.997594i
$76$	4.07173	+	1.68657i	0.467060	+	0.193462i
$77$	3.47552	−	1.43961i	0.396072	−	0.164058i
$78$	2.34173	+	1.56469i	0.265149	+	0.177167i
$79$	−6.00351	−	4.01142i	−0.675448	−	0.451320i	0.169953	−	0.985452i	$-0.445638\pi$
$79$	−6.00351	−	4.01142i	−0.675448	−	0.451320i	−0.845401	+	0.534132i	$0.820638\pi$
$80$	−0.271292	+	2.21955i	−0.0303314	+	0.248153i
$81$	−7.43914	−	7.43914i	−0.826572	−	0.826572i
$82$	−2.11241	+	10.6198i	−0.233276	+	1.17276i
$83$	4.89429	−	11.8159i	0.537218	−	1.29696i	−0.389440	−	0.921052i	$-0.627331\pi$
$83$	4.89429	−	11.8159i	0.537218	−	1.29696i	0.926658	−	0.375906i	$-0.122669\pi$
$84$	2.13796			0.233271
$85$	9.02396	−	1.88897i	0.978786	−	0.204887i
$86$	6.66847			0.719080
$87$	2.48863	−	6.00808i	0.266809	−	0.644134i
$88$	0.655456	−	3.29520i	0.0698718	−	0.351269i
$89$	−5.20222	−	5.20222i	−0.551434	−	0.551434i	0.375420	−	0.926855i	$-0.377498\pi$
$89$	−5.20222	−	5.20222i	−0.551434	−	0.551434i	−0.926855	+	0.375420i	$0.877498\pi$
$90$	−1.13765	+	0.889830i	−0.119918	+	0.0937963i
$91$	1.37319	+	0.917536i	0.143949	+	0.0961839i
$92$	2.47828	+	1.65593i	0.258379	+	0.172643i
$93$	9.36692	−	3.87991i	0.971305	−	0.402328i
$94$	−6.00354	−	2.48675i	−0.619218	−	0.256489i
$95$	−9.49496	+	2.63879i	−0.974163	+	0.270734i
$96$	1.06082	−	1.58763i	0.108270	−	0.162037i
$97$	−8.14284	+	5.44087i	−0.826780	+	0.552437i	−0.895429	−	0.445204i	$-0.853131\pi$
$97$	−8.14284	+	5.44087i	−0.826780	+	0.552437i	0.0686493	+	0.997641i	$0.478131\pi$
$98$	−5.74630			−0.580464
$99$	1.80439	−	1.20565i	0.181348	−	0.121173i
$100$	−2.57988	−	4.28301i	−0.257988	−	0.428301i
$101$		−	9.30787i		−	0.926167i	−0.886315	−	0.463084i	$-0.846743\pi$
$101$		−	9.30787i		−	0.926167i	0.886315	−	0.463084i	$-0.153257\pi$
$102$	−7.60599	−	2.03211i	−0.753105	−	0.201209i
$103$	8.56291	−	8.56291i	0.843728	−	0.843728i	−0.145613	−	0.989342i	$-0.546516\pi$
$103$	8.56291	−	8.56291i	0.843728	−	0.843728i	0.989342	+	0.145613i	$0.0465156\pi$
$104$	1.36271	−	0.564452i	0.133624	−	0.0553491i
$105$	−3.76557	+	2.94531i	−0.367482	+	0.287433i
$106$	−4.01688	+	4.01688i	−0.390154	+	0.390154i
$107$	−8.48906	−	12.7048i	−0.820669	−	1.22822i	−0.970881	−	0.239564i	$-0.922996\pi$
$107$	−8.48906	−	12.7048i	−0.820669	−	1.22822i	0.150212	−	0.988654i	$-0.452004\pi$
$108$	−4.40859	+	0.876922i	−0.424216	+	0.0843819i
$109$	3.05926	+	15.3799i	0.293024	+	1.47313i	0.794132	+	0.607745i	$0.207926\pi$
$109$	3.05926	+	15.3799i	0.293024	+	1.47313i	−0.501109	+	0.865384i	$0.667074\pi$
$110$	3.38510	+	6.70678i	0.322757	+	0.639466i
$111$	6.17467	−	14.9070i	0.586074	−	1.41491i
$112$	0.622065	−	0.930986i	0.0587796	−	0.0879699i
$113$	0.920302	+	4.62667i	0.0865748	+	0.435241i	0.999625	+	0.0273930i	$0.00872056\pi$
$113$	0.920302	+	4.62667i	0.0865748	+	0.435241i	−0.913050	+	0.407848i	$0.866279\pi$
$114$	8.25356	+	1.64173i	0.773016	+	0.153763i
$115$	−6.64623	+	0.497561i	−0.619764	+	0.0463978i
$116$	−1.89215	−	2.83181i	−0.175682	−	0.262927i
$117$	0.880194	+	0.364588i	0.0813739	+	0.0337062i
$118$	−1.44975	−	1.44975i	−0.133460	−	0.133460i
$119$	−4.46015	−	1.19163i	−0.408861	−	0.109236i
$120$	0.318747	+	4.25770i	0.0290975	+	0.388673i
$121$	−0.110195	−	0.266035i	−0.0100177	−	0.0241850i
$122$	1.34035	+	0.266612i	0.121350	+	0.0241379i
$123$			20.6750i			1.86420i
$124$	1.03589	−	5.20778i	0.0930258	−	0.467672i
$125$	10.4443	+	3.98952i	0.934168	+	0.356833i
$126$	0.709326	−	0.141094i	0.0631918	−	0.0125696i
$127$	−4.00153	−	9.66056i	−0.355079	−	0.857236i	−0.995977	−	0.0896101i	$-0.971438\pi$
$127$	−4.00153	−	9.66056i	−0.355079	−	0.857236i	0.640898	−	0.767626i	$-0.278562\pi$
$128$	−0.382683	−	0.923880i	−0.0338248	−	0.0816602i
$129$	12.4883	−	2.48408i	1.09953	−	0.218711i
$130$	−1.62252	+	2.87147i	−0.142305	+	0.251844i
$131$	−4.18518	+	21.0403i	−0.365661	+	1.83830i	0.159370	+	0.987219i	$0.449054\pi$
$131$	−4.18518	+	21.0403i	−0.365661	+	1.83830i	−0.525031	+	0.851083i	$0.675946\pi$
$132$		−	6.41521i		−	0.558372i
$133$	4.83988	+	0.962712i	0.419671	+	0.0834777i
$134$	3.86421	+	9.32903i	0.333817	+	0.805905i
$135$	6.55673	−	7.61790i	0.564314	−	0.655644i
$136$	−3.09794	+	2.72080i	−0.265647	+	0.233306i
$137$	−1.86677	−	1.86677i	−0.159489	−	0.159489i	0.622851	−	0.782340i	$-0.285974\pi$
$137$	−1.86677	−	1.86677i	−0.159489	−	0.159489i	−0.782340	+	0.622851i	$0.785974\pi$
$138$	5.25803	+	2.17795i	0.447593	+	0.185399i
$139$	8.11022	+	12.1378i	0.687900	+	1.02951i	0.996917	+	0.0784583i	$0.0249997\pi$
$139$	8.11022	+	12.1378i	0.687900	+	1.02951i	−0.309018	+	0.951056i	$0.600000\pi$
$140$	0.186913	+	2.49671i	0.0157970	+	0.211010i
$141$	−12.1694	−	2.42065i	−1.02485	−	0.203855i
$142$	−0.307143	−	1.54411i	−0.0257749	−	0.129579i
$143$	2.75318	−	4.12042i	0.230232	−	0.344567i
$144$	0.247181	−	0.596748i	0.0205984	−	0.0497290i
$145$	7.23380	+	2.38096i	0.600735	+	0.197728i
$146$	2.47305	+	12.4329i	0.204671	+	1.02895i
$147$	−10.7613	+	2.14056i	−0.887579	+	0.176550i
$148$	−4.69472	−	7.02615i	−0.385904	−	0.577546i
$149$	−9.82894	+	9.82894i	−0.805218	+	0.805218i	−0.983906	−	0.178688i	$-0.942815\pi$
$149$	−9.82894	+	9.82894i	−0.805218	+	0.805218i	0.178688	+	0.983906i	$0.442815\pi$
$150$	−6.42692	−	7.05993i	−0.524756	−	0.576441i
$151$	16.1800	−	6.70198i	1.31671	−	0.545400i	0.389876	−	0.920868i	$-0.372518\pi$
$151$	16.1800	−	6.70198i	1.31671	−	0.545400i	0.926835	+	0.375468i	$0.122518\pi$
$152$	3.11637	−	3.11637i	0.252771	−	0.252771i
$153$	−2.65760	−	0.172255i	−0.214854	−	0.0139260i
$154$		−	3.76187i		−	0.303140i
$155$	5.34986	+	10.5995i	0.429711	+	0.851371i
$156$	2.34173	−	1.56469i	0.187489	−	0.125276i
$157$	5.97292			0.476691			0.238345	−	0.971180i	$-0.423395\pi$
$157$	5.97292			0.476691			0.238345	+	0.971180i	$0.423395\pi$
$158$	−6.00351	+	4.01142i	−0.477614	+	0.319131i
$159$	−6.02624	+	9.01890i	−0.477912	+	0.715245i
$160$	1.94678	+	1.10003i	0.153906	+	0.0869647i
$161$	3.08330	+	1.27715i	0.242998	+	0.100653i
$162$	−9.71971	+	4.02604i	−0.763653	+	0.316315i
$163$	1.34860	+	0.901103i	0.105630	+	0.0705798i	0.607263	−	0.794501i	$-0.292267\pi$
$163$	1.34860	+	0.901103i	0.105630	+	0.0705798i	−0.501633	+	0.865080i	$0.667267\pi$
$164$	9.00302	+	6.01562i	0.703017	+	0.469741i
$165$	8.83776	+	11.2991i	0.688019	+	0.879630i
$166$	−9.04346	−	9.04346i	−0.701909	−	0.701909i
$167$	−1.31736	+	6.62279i	−0.101940	+	0.512487i	0.895750	+	0.444558i	$0.146639\pi$
$167$	−1.31736	+	6.62279i	−0.101940	+	0.512487i	−0.997690	+	0.0679292i	$0.978361\pi$
$168$	0.818163	−	1.97522i	0.0631226	−	0.152391i
$169$	−10.8244			−0.832648
$170$	1.70814	−	9.05993i	0.131008	−	0.694865i
$171$	2.84669			0.217691
$172$	2.55191	−	6.16087i	0.194582	−	0.469762i
$173$	4.81614	−	24.2124i	0.366165	−	1.84083i	−0.155699	−	0.987805i	$-0.549763\pi$
$173$	4.81614	−	24.2124i	0.366165	−	1.84083i	0.521863	−	0.853029i	$-0.325237\pi$
$174$	−4.59839	−	4.59839i	−0.348603	−	0.348603i
$175$	−3.76874	−	4.13994i	−0.284890	−	0.312950i
$176$	−2.79353	−	1.86658i	−0.210571	−	0.140699i
$177$	−3.25505	−	2.17496i	−0.244665	−	0.163480i
$178$	−6.79703	+	2.81542i	−0.509459	+	0.211025i
$179$	3.46381	+	1.43476i	0.258897	+	0.107239i	0.508357	−	0.861146i	$-0.330253\pi$
$179$	3.46381	+	1.43476i	0.258897	+	0.107239i	−0.249460	+	0.968385i	$0.580253\pi$
$180$	0.386738	+	1.39157i	0.0288257	+	0.103722i
$181$	−6.38769	+	9.55986i	−0.474794	+	0.710579i	−0.989136	−	0.147006i	$-0.953036\pi$
$181$	−6.38769	+	9.55986i	−0.474794	+	0.710579i	0.514342	+	0.857585i	$0.328036\pi$
$182$	1.37319	−	0.917536i	0.101788	−	0.0680123i
$183$	2.60944			0.192895
$184$	2.47828	−	1.65593i	0.182701	−	0.122077i
$185$	17.9482	+	5.90752i	1.31958	+	0.434330i
$186$		−	10.1387i		−	0.743405i
$187$	−3.57563	+	13.3832i	−0.261476	+	0.978677i
$188$	−4.59491	+	4.59491i	−0.335119	+	0.335119i
$189$	−4.64983	+	1.92602i	−0.338226	+	0.140098i
$190$	−1.19564	+	9.78202i	−0.0867411	+	0.709663i
$191$	9.54505	−	9.54505i	0.690655	−	0.690655i	−0.271721	−	0.962376i	$-0.587593\pi$
$191$	9.54505	−	9.54505i	0.690655	−	0.690655i	0.962376	+	0.271721i	$0.0875927\pi$
$192$	−1.06082	−	1.58763i	−0.0765582	−	0.114577i
$193$	13.0643	−	2.59864i	0.940386	−	0.187054i	0.298983	−	0.954258i	$-0.403353\pi$
$193$	13.0643	−	2.59864i	0.940386	−	0.187054i	0.641403	+	0.767204i	$0.278353\pi$
$194$	1.91058	+	9.60513i	0.137172	+	0.689608i
$195$	−1.96891	+	5.98191i	−0.140996	+	0.428374i
$196$	−2.19901	+	5.30889i	−0.157072	+	0.379206i
$197$	−6.16823	+	9.23141i	−0.439468	+	0.657711i	−0.983407	−	0.181414i	$-0.941933\pi$
$197$	−6.16823	+	9.23141i	−0.439468	+	0.657711i	0.543938	+	0.839125i	$0.316933\pi$
$198$	−0.423369	−	2.12842i	−0.0300875	−	0.151260i
$199$	10.4034	+	2.06936i	0.737475	+	0.146693i	0.549515	−	0.835484i	$-0.314812\pi$
$199$	10.4034	+	2.06936i	0.737475	+	0.146693i	0.187960	+	0.982177i	$0.439812\pi$
$200$	−4.94427	+	0.744464i	−0.349612	+	0.0526416i
$201$	10.7118	+	16.0314i	0.755554	+	1.13077i
$202$	−8.59935	−	3.56197i	−0.605048	−	0.250619i
$203$	−2.69649	−	2.69649i	−0.189257	−	0.189257i
$204$	−4.78811	+	6.24936i	−0.335235	+	0.437543i
$205$	−24.1442	+	1.80752i	−1.68630	+	0.126243i
$206$	−4.63421	−	11.1880i	−0.322881	−	0.779503i
$207$	1.88822	+	0.375591i	0.131241	+	0.0261054i
$208$		−	1.47498i		−	0.102272i
$209$	2.88873	−	14.5226i	0.199818	−	1.00455i
$210$	1.28009	+	4.60606i	0.0883346	+	0.317848i
$211$	−0.680492	+	0.135358i	−0.0468470	+	0.00931845i	−0.218458	−	0.975846i	$-0.570103\pi$
$211$	−0.680492	+	0.135358i	−0.0468470	+	0.00931845i	0.171611	+	0.985165i	$0.445103\pi$
$212$	2.17392	+	5.24831i	0.149305	+	0.360455i
$213$	−1.15040	−	2.77730i	−0.0788239	−	0.190298i
$214$	−14.9863	+	2.98096i	−1.02444	+	0.203774i
$215$	3.99270	+	14.3667i	0.272300	+	0.979798i
$216$	−0.876922	+	4.40859i	−0.0596670	+	0.299966i
$217$		−	5.94532i		−	0.403594i
$218$	15.3799	+	3.05926i	1.04166	+	0.207199i
$219$	9.26276	+	22.3623i	0.625919	+	1.51110i
$220$	7.49168	−	0.560854i	0.505089	−	0.0378128i
$221$	−5.75735	+	1.95901i	−0.387281	+	0.131777i
$222$	−11.4093	−	11.4093i	−0.765742	−	0.765742i
$223$	−13.6529	−	5.65522i	−0.914266	−	0.378701i	−0.124578	−	0.992210i	$-0.539758\pi$
$223$	−13.6529	−	5.65522i	−0.914266	−	0.378701i	−0.789688	+	0.613508i	$0.789758\pi$
$224$	−0.622065	−	0.930986i	−0.0415635	−	0.0622041i
$225$	−2.59822	−	1.91818i	−0.173215	−	0.127879i
$226$	4.62667	+	0.920302i	0.307762	+	0.0612176i
$227$	−2.03273	−	10.2192i	−0.134917	−	0.678274i	−0.987744	−	0.156081i	$-0.950114\pi$
$227$	−2.03273	−	10.2192i	−0.134917	−	0.678274i	0.852827	−	0.522193i	$-0.174886\pi$
$228$	4.67526	−	6.99703i	0.309627	−	0.463389i
$229$	11.2624	−	27.1899i	0.744242	−	1.79676i	0.156557	−	0.987669i	$-0.449961\pi$
$229$	11.2624	−	27.1899i	0.744242	−	1.79676i	0.587685	−	0.809090i	$-0.300039\pi$
$230$	−2.08372	+	6.33073i	−0.137396	+	0.417436i
$231$	−1.40134	−	7.04501i	−0.0922014	−	0.463528i
$232$	−3.34034	+	0.664436i	−0.219304	+	0.0436223i
$233$	−13.1387	−	19.6635i	−0.860746	−	1.28820i	−0.956185	−	0.292762i	$-0.905426\pi$
$233$	−13.1387	−	19.6635i	−0.860746	−	1.28820i	0.0954397	−	0.995435i	$-0.469574\pi$
$234$	0.673671	−	0.673671i	0.0440393	−	0.0440393i
$235$	1.76291	−	14.4231i	0.115000	−	0.940856i
$236$	−1.89419	+	0.784600i	−0.123301	+	0.0510731i
$237$	−9.74871	+	9.74871i	−0.633247	+	0.633247i
$238$	−2.80775	+	3.66462i	−0.181999	+	0.237542i
$239$			5.14210i			0.332615i	0.986074	+	0.166308i	$0.0531844\pi$
$239$			5.14210i			0.332615i	−0.986074	+	0.166308i	$0.946816\pi$
$240$	4.05558	+	1.33487i	0.261786	+	0.0861652i
$241$	16.9438	−	11.3215i	1.09145	−	0.729282i	0.126563	−	0.991959i	$-0.459605\pi$
$241$	16.9438	−	11.3215i	1.09145	−	0.729282i	0.964884	+	0.262677i	$0.0846053\pi$
$242$	−0.287954			−0.0185104
$243$	−5.49048	+	3.66862i	−0.352215	+	0.235342i
$244$	0.759247	−	1.13629i	0.0486058	−	0.0727437i
$245$	−3.44056	−	12.3799i	−0.219809	−	0.790924i
$246$	19.1012	+	7.91197i	1.21785	+	0.504449i
$247$	6.00574	−	2.48766i	0.382136	−	0.158286i
$248$	−4.41494	−	2.94997i	−0.280349	−	0.187323i
$249$	−20.3048	−	13.5673i	−1.28677	−	0.859790i
$250$	7.68270	−	8.12257i	0.485897	−	0.513716i
$251$	18.6690	+	18.6690i	1.17837	+	1.17837i	0.980158	+	0.198216i	$0.0635148\pi$
$251$	18.6690	+	18.6690i	1.17837	+	1.17837i	0.198216	+	0.980158i	$0.436485\pi$
$252$	0.141094	−	0.709326i	0.00888807	−	0.0446834i
$253$	3.83223	−	9.25182i	0.240930	−	0.581657i
$254$	−10.4565			−0.656100
$255$	−0.176020	−	17.6032i	−0.0110228	−	1.10235i
$256$	−1.00000			−0.0625000
$257$	9.52661	−	22.9993i	0.594254	−	1.43466i	−0.285105	−	0.958496i	$-0.592028\pi$
$257$	9.52661	−	22.9993i	0.594254	−	1.43466i	0.879359	−	0.476160i	$-0.157972\pi$
$258$	2.48408	−	12.4883i	0.154652	−	0.777488i
$259$	−6.69040	−	6.69040i	−0.415722	−	0.415722i
$260$	2.03198	+	2.59788i	0.126018	+	0.161113i
$261$	−1.82911	−	1.22217i	−0.113219	−	0.0756505i
$262$	17.8371	+	11.9184i	1.10198	+	0.736321i
$263$	−21.9262	+	9.08213i	−1.35203	+	0.560028i	−0.936856	−	0.349715i	$-0.886278\pi$
$263$	−21.9262	+	9.08213i	−1.35203	+	0.560028i	−0.415171	+	0.909743i	$0.636278\pi$
$264$	−5.92688	−	2.45499i	−0.364774	−	0.151094i
$265$	−11.0591	−	6.24895i	−0.679356	−	0.383870i
$266$	2.74157	−	4.10305i	0.168097	−	0.251574i
$267$	−11.6803	+	7.80452i	−0.714822	+	0.477629i
$268$	10.0977			0.616813
$269$	19.3859	−	12.9533i	1.18198	−	0.789775i	0.200194	−	0.979756i	$-0.435843\pi$
$269$	19.3859	−	12.9533i	1.18198	−	0.789775i	0.981788	+	0.189982i	$0.0608429\pi$
$270$	−4.52887	−	8.97287i	−0.275618	−	0.546072i
$271$		−	26.0746i		−	1.58392i	−0.610574	−	0.791959i	$-0.709061\pi$
$271$		−	26.0746i		−	1.58392i	0.610574	−	0.791959i	$-0.290939\pi$
$272$	1.32816	+	3.90333i	0.0805314	+	0.236674i
$273$	2.22983	−	2.22983i	0.134956	−	0.134956i
$274$	−2.43906	+	1.01029i	−0.147349	+	0.0610339i
$275$	−12.4224	+	11.3086i	−0.749097	+	0.681931i
$276$	4.02432	−	4.02432i	0.242236	−	0.242236i
$277$	−6.67385	−	9.98812i	−0.400993	−	0.600128i	0.574941	−	0.818195i	$-0.305025\pi$
$277$	−6.67385	−	9.98812i	−0.400993	−	0.600128i	−0.975934	+	0.218067i	$0.930025\pi$
$278$	14.3175	−	2.84793i	0.858707	−	0.170807i
$279$	−0.669098	−	3.36378i	−0.0400578	−	0.201384i
$280$	2.37819	+	0.782765i	0.142124	+	0.0467791i
$281$	−2.20751	+	5.32939i	−0.131689	+	0.317925i	−0.975946	−	0.218014i	$-0.930042\pi$
$281$	−2.20751	+	5.32939i	−0.131689	+	0.317925i	0.844257	+	0.535939i	$0.180042\pi$
$282$	−6.89342	+	10.3167i	−0.410497	+	0.614352i
$283$	4.79594	+	24.1108i	0.285089	+	1.43324i	0.812169	+	0.583423i	$0.198287\pi$
$283$	4.79594	+	24.1108i	0.285089	+	1.43324i	−0.527080	+	0.849816i	$0.676713\pi$
$284$	−1.54411	−	0.307143i	−0.0916262	−	0.0182256i
$285$	1.40478	+	18.7646i	0.0832122	+	1.11152i
$286$	−2.75318	−	4.12042i	−0.162799	−	0.243645i
$287$	11.2009	+	4.63957i	0.661169	+	0.273865i
$288$	−0.456731	−	0.456731i	−0.0269131	−	0.0269131i
$289$	13.4720	−	10.3685i	0.792470	−	0.609910i
$290$	4.96797	−	5.77201i	0.291730	−	0.338944i
$291$	7.15603	+	17.2762i	0.419494	+	1.01275i
$292$	12.4329	+	2.47305i	0.727578	+	0.144724i
$293$		−	4.55991i		−	0.266393i	−0.991090	−	0.133196i	$-0.957476\pi$
$293$		−	4.55991i		−	0.266393i	0.991090	−	0.133196i	$-0.0425241\pi$
$294$	−2.14056	+	10.7613i	−0.124840	+	0.627613i
$295$	2.25534	−	3.99140i	0.131311	−	0.232388i
$296$	−8.28790	+	1.64857i	−0.481725	+	0.0958210i
$297$	5.77927	+	13.9524i	0.335347	+	0.809599i
$298$	5.31938	+	12.8421i	0.308144	+	0.743924i
$299$	4.31187	−	0.857684i	0.249362	−	0.0496011i
$300$	−8.98200	+	3.23598i	−0.518576	+	0.186829i
$301$	1.45666	−	7.32313i	0.0839606	−	0.422098i
$302$		−	17.5131i		−	1.00777i
$303$	−17.4312	−	3.46728i	−1.00140	−	0.199190i
$304$	−1.68657	−	4.07173i	−0.0967312	−	0.233530i
$305$	0.228132	+	3.04730i	0.0130628	+	0.174488i
$306$	−1.17616	+	2.38938i	−0.0672367	+	0.136592i
$307$	6.84849	+	6.84849i	0.390864	+	0.390864i	0.874995	−	0.484131i	$-0.160864\pi$
$307$	6.84849	+	6.84849i	0.390864	+	0.390864i	−0.484131	+	0.874995i	$0.660864\pi$
$308$	−3.47552	−	1.43961i	−0.198036	−	0.0820292i
$309$	−12.8463	−	19.2259i	−0.730801	−	1.09372i
$310$	11.8399	−	0.886382i	0.672464	−	0.0503431i
$311$	18.4089	+	3.66176i	1.04387	+	0.207639i	0.687108	−	0.726555i	$-0.258880\pi$
$311$	18.4089	+	3.66176i	1.04387	+	0.207639i	0.356764	+	0.934194i	$0.383880\pi$
$312$	−0.549448	−	2.76226i	−0.0311064	−	0.156382i
$313$	−4.48099	+	6.70628i	−0.253281	+	0.379061i	−0.936220	−	0.351413i	$-0.885701\pi$
$313$	−4.48099	+	6.70628i	−0.253281	+	0.379061i	0.682940	+	0.730475i	$0.260701\pi$
$314$	2.28574	−	5.51826i	0.128992	−	0.311413i
$315$	0.728679	+	1.44371i	0.0410564	+	0.0813436i
$316$	1.40862	+	7.08163i	0.0792412	+	0.398373i
$317$	3.57813	−	0.711735i	0.200968	−	0.0399750i	−0.0935797	−	0.995612i	$-0.529831\pi$
$317$	3.57813	−	0.711735i	0.200968	−	0.0399750i	0.294548	+	0.955637i	$0.404831\pi$
$318$	6.02624	+	9.01890i	0.337935	+	0.505755i
$319$	−8.09114	+	8.09114i	−0.453017	+	0.453017i
$320$	1.76129	−	1.37763i	0.0984592	−	0.0770116i
$321$	−26.9550	+	11.1651i	−1.50448	+	0.623177i
$322$	2.35986	−	2.35986i	0.131510	−	0.131510i
$323$	−13.6533	+	11.9911i	−0.759690	+	0.667204i
$324$			10.5205i			0.584474i
$325$	−7.15780	−	1.77631i	−0.397044	−	0.0985322i
$326$	1.34860	−	0.901103i	0.0746918	−	0.0499075i
$327$	29.9422			1.65581
$328$	9.00302	−	6.01562i	0.497108	−	0.332157i
$329$	−4.04229	+	6.04972i	−0.222859	+	0.333532i
$330$	13.8210	−	3.84106i	0.760823	−	0.211444i
$331$	−7.96553	−	3.29943i	−0.437825	−	0.181353i	0.152873	−	0.988246i	$-0.451148\pi$
$331$	−7.96553	−	3.29943i	−0.437825	−	0.181353i	−0.590698	+	0.806893i	$0.701148\pi$
$332$	−11.8159	+	4.89429i	−0.648479	+	0.268609i
$333$	−4.53829	−	3.03239i	−0.248697	−	0.166174i
$334$	5.61453	+	3.75151i	0.307214	+	0.205273i
$335$	−17.7849	+	13.9108i	−0.971695	+	0.760029i
$336$	−1.51177	−	1.51177i	−0.0824737	−	0.0824737i
$337$	−3.51416	+	17.6669i	−0.191429	+	0.962377i	0.758919	+	0.651186i	$0.225728\pi$
$337$	−3.51416	+	17.6669i	−0.191429	+	0.962377i	−0.950347	+	0.311192i	$0.899272\pi$
$338$	−4.14233	+	10.0005i	−0.225313	+	0.543953i
$339$	9.00737			0.489213
$340$	−7.71660	−	5.04520i	−0.418492	−	0.273614i
$341$	−17.8396			−0.966070
$342$	1.08938	−	2.62999i	0.0589069	−	0.142214i
$343$	−2.78430	+	13.9976i	−0.150338	+	0.755801i
$344$	−4.71532	−	4.71532i	−0.254233	−	0.254233i
$345$	−1.54399	+	12.6320i	−0.0831257	+	0.680084i
$346$	−20.5263	−	13.7152i	−1.10350	−	0.737335i
$347$	−11.5751	−	7.73424i	−0.621384	−	0.415196i	0.204634	−	0.978838i	$-0.434399\pi$
$347$	−11.5751	−	7.73424i	−0.621384	−	0.415196i	−0.826019	+	0.563643i	$0.809399\pi$
$348$	−6.00808	+	2.48863i	−0.322067	+	0.133405i
$349$	−4.86747	−	2.01617i	−0.260550	−	0.107923i	0.248585	−	0.968610i	$-0.420034\pi$
$349$	−4.86747	−	2.01617i	−0.260550	−	0.107923i	−0.509135	+	0.860687i	$0.670034\pi$
$350$	−5.26704	+	1.89758i	−0.281535	+	0.101430i
$351$	−3.68342	+	5.51263i	−0.196607	+	0.294243i
$352$	−2.79353	+	1.86658i	−0.148896	+	0.0994890i
$353$	−4.60489			−0.245093			−0.122547	−	0.992463i	$-0.539106\pi$
$353$	−4.60489			−0.245093			−0.122547	+	0.992463i	$0.539106\pi$
$354$	−3.25505	+	2.17496i	−0.173004	+	0.115598i
$355$	3.14276	−	1.58624i	0.166800	−	0.0841889i
$356$			7.35705i			0.389923i
$357$	−3.89306	+	7.90879i	−0.206043	+	0.418578i
$358$	2.65109	−	2.65109i	0.140114	−	0.140114i
$359$	2.69412	−	1.11594i	0.142190	−	0.0588972i	−0.310454	−	0.950589i	$-0.600481\pi$
$359$	2.69412	−	1.11594i	0.142190	−	0.0588972i	0.452644	+	0.891691i	$0.350481\pi$
$360$	1.43364	+	0.175232i	0.0755595	+	0.00923553i
$361$	0.299468	−	0.299468i	0.0157615	−	0.0157615i
$362$	6.38769	+	9.55986i	0.335730	+	0.502455i
$363$	−0.539262	+	0.107266i	−0.0283039	+	0.00563000i
$364$	−0.322196	−	1.61979i	−0.0168876	−	0.0848999i
$365$	−25.3048	+	12.7721i	−1.32452	+	0.668521i
$366$	0.998590	−	2.41081i	0.0521971	−	0.126015i
$367$	15.3924	−	23.0363i	0.803476	−	1.20249i	−0.172587	−	0.984994i	$-0.555212\pi$
$367$	15.3924	−	23.0363i	0.803476	−	1.20249i	0.976062	−	0.217492i	$-0.0697875\pi$
$368$	−0.581487	−	2.92333i	−0.0303121	−	0.152389i
$369$	6.85948	+	1.36444i	0.357090	+	0.0710297i
$370$	12.3263	−	14.3212i	0.640814	−	0.744526i
$371$	3.53378	+	5.28868i	0.183465	+	0.274574i
$372$	−9.36692	−	3.87991i	−0.485652	−	0.201164i
$373$	20.5382	+	20.5382i	1.06343	+	1.06343i	0.997847	+	0.0655799i	$0.0208897\pi$
$373$	20.5382	+	20.5382i	1.06343	+	1.06343i	0.0655799	+	0.997847i	$0.479110\pi$
$374$	10.9961	+	8.42498i	0.568597	+	0.435645i
$375$	11.3619	−	18.0733i	0.586728	−	0.933303i
$376$	2.48675	+	6.00354i	0.128244	+	0.309609i
$377$	−4.92695	−	0.980032i	−0.253751	−	0.0504742i
$378$			5.03294i			0.258867i
$379$	1.67265	−	8.40898i	0.0859183	−	0.431940i	−0.913752	−	0.406272i	$-0.866829\pi$
$379$	1.67265	−	8.40898i	0.0859183	−	0.431940i	0.999671	−	0.0256684i	$-0.00817141\pi$
$380$	8.57986	+	4.84805i	0.440137	+	0.248700i
$381$	−19.5823	+	3.89517i	−1.00323	+	0.199555i
$382$	−5.16574	−	12.4712i	−0.264302	−	0.638082i
$383$	2.55762	+	6.17465i	0.130689	+	0.315510i	0.975656	−	0.219308i	$-0.0703801\pi$
$383$	2.55762	+	6.17465i	0.130689	+	0.315510i	−0.844967	+	0.534818i	$0.820380\pi$
$384$	−1.87274	+	0.372511i	−0.0955678	+	0.0190096i
$385$	8.10464	−	2.25240i	0.413051	−	0.114793i
$386$	2.59864	−	13.0643i	0.132267	−	0.664954i
$387$		−	4.30727i		−	0.218951i
$388$	9.60513	+	1.91058i	0.487627	+	0.0969950i
$389$	8.75589	+	21.1386i	0.443941	+	1.07177i	0.974554	+	0.224155i	$0.0719621\pi$
$389$	8.75589	+	21.1386i	0.443941	+	1.07177i	−0.530612	+	0.847615i	$0.678038\pi$
$390$	4.77310	+	4.10821i	0.241695	+	0.208027i
$391$	−10.6384	+	6.15238i	−0.538008	+	0.311139i
$392$	4.06325	+	4.06325i	0.205225	+	0.205225i
$393$	37.8440	+	15.6755i	1.90898	+	0.790725i
$394$	6.16823	+	9.23141i	0.310751	+	0.465072i
$395$	−12.2368	−	10.5323i	−0.615702	−	0.529935i
$396$	−2.12842	−	0.423369i	−0.106957	−	0.0212751i
$397$	1.00518	+	5.05339i	0.0504486	+	0.253622i	0.997777	−	0.0666417i	$-0.0212284\pi$
$397$	1.00518	+	5.05339i	0.0504486	+	0.253622i	−0.947328	+	0.320264i	$0.896228\pi$
$398$	5.89304	−	8.81955i	0.295391	−	0.442084i
$399$	3.60582	−	8.70521i	0.180517	−	0.435806i
$400$	−1.20429	+	4.85280i	−0.0602147	+	0.242640i
$401$	−1.50164	−	7.54925i	−0.0749883	−	0.376992i	0.925007	−	0.379949i	$-0.124059\pi$
$401$	−1.50164	−	7.54925i	−0.0749883	−	0.376992i	−0.999996	+	0.00295756i	$0.999059\pi$
$402$	18.9103	−	3.76149i	0.943160	−	0.187606i
$403$	−4.35116	−	6.51197i	−0.216747	−	0.324384i
$404$	−6.58166	+	6.58166i	−0.327450	+	0.327450i
$405$	−14.4934	−	18.5297i	−0.720181	−	0.920750i
$406$	−3.52313	+	1.45933i	−0.174850	+	0.0724253i
$407$	−20.0754	+	20.0754i	−0.995099	+	0.995099i
$408$	3.94133	+	6.81517i	0.195125	+	0.337401i
$409$			19.4963i			0.964028i	0.876164	+	0.482014i	$0.160094\pi$
$409$			19.4963i			0.964028i	−0.876164	+	0.482014i	$0.839906\pi$
$410$	−7.56966	+	22.9981i	−0.373839	+	1.13579i
$411$	−4.19138	+	2.80059i	−0.206745	+	0.138143i
$412$	−12.1098			−0.596606
$413$	−1.90876	+	1.27539i	−0.0939240	+	0.0627580i
$414$	1.06959	−	1.60076i	0.0525676	−	0.0786730i
$415$	14.0687	−	24.8981i	0.690603	−	1.22220i
$416$	−1.36271	−	0.564452i	−0.0668122	−	0.0276745i
$417$	25.7521	−	10.6669i	1.26108	−	0.522358i
$418$	−12.3117	−	8.22641i	−0.602185	−	0.402367i
$419$	28.2379	+	18.8680i	1.37951	+	0.921761i	0.999994	−	0.00342286i	$-0.00108953\pi$
$419$	28.2379	+	18.8680i	1.37951	+	0.921761i	0.379519	+	0.925184i	$0.376090\pi$
$420$	4.74531	+	0.580013i	0.231548	+	0.0283017i
$421$	6.66320	+	6.66320i	0.324744	+	0.324744i	0.850584	−	0.525839i	$-0.176249\pi$
$421$	6.66320	+	6.66320i	0.324744	+	0.324744i	−0.525839	+	0.850584i	$0.676249\pi$
$422$	−0.135358	+	0.680492i	−0.00658914	+	0.0331258i
$423$	−1.60623	+	3.87778i	−0.0780976	+	0.188544i
$424$	5.68073			0.275880
$425$	20.5416	−	1.74453i	0.996413	−	0.0846219i
$426$	−3.00613			−0.145648
$427$	0.585572	−	1.41370i	0.0283378	−	0.0684136i
$428$	−2.98096	+	14.9863i	−0.144090	+	0.724391i
$429$	−6.69088	−	6.69088i	−0.323039	−	0.323039i
$430$	14.8010	+	1.80911i	0.713768	+	0.0872428i
$431$	−1.43299	−	0.957493i	−0.0690247	−	0.0461208i	0.520579	−	0.853813i	$-0.325716\pi$
$431$	−1.43299	−	0.957493i	−0.0690247	−	0.0461208i	−0.589604	+	0.807693i	$0.700716\pi$
$432$	3.73742	+	2.49726i	0.179817	+	0.120150i
$433$	−11.9227	+	4.93855i	−0.572969	+	0.237331i	−0.650304	−	0.759674i	$-0.725359\pi$
$433$	−11.9227	+	4.93855i	−0.572969	+	0.237331i	0.0773357	+	0.997005i	$0.475359\pi$
$434$	−5.49276	−	2.27517i	−0.263661	−	0.109212i
$435$	7.15358	−	12.6601i	0.342988	−	0.607005i
$436$	8.71203	−	13.0385i	0.417230	−	0.624429i
$437$	10.9223	−	7.29805i	0.522485	−	0.349113i
$438$	24.2048			1.15655
$439$	10.4072	−	6.95384i	0.496706	−	0.331889i	−0.281855	−	0.959457i	$-0.590950\pi$
$439$	10.4072	−	6.95384i	0.496706	−	0.331889i	0.778561	+	0.627568i	$0.215950\pi$
$440$	2.34878	−	7.13604i	0.111974	−	0.340197i
$441$			3.71162i			0.176744i
$442$	−0.393353	+	6.06878i	−0.0187099	+	0.288662i
$443$	14.7256	−	14.7256i	0.699634	−	0.699634i	−0.264698	−	0.964331i	$-0.585272\pi$
$443$	14.7256	−	14.7256i	0.699634	−	0.699634i	0.964331	+	0.264698i	$0.0852722\pi$
$444$	−14.9070	+	6.17467i	−0.707453	+	0.293037i
$445$	−10.1353	−	12.9579i	−0.480458	−	0.614264i
$446$	−10.4495	+	10.4495i	−0.494797	+	0.494797i
$447$	14.7456	+	22.0684i	0.697445	+	1.04380i
$448$	−1.09817	+	0.218440i	−0.0518838	+	0.0103203i
$449$	−3.43413	−	17.2646i	−0.162067	−	0.814765i	−0.973210	−	0.229917i	$-0.926154\pi$
$449$	−3.43413	−	17.2646i	−0.162067	−	0.814765i	0.811143	−	0.584847i	$-0.198846\pi$
$450$	−2.76646	+	1.66639i	−0.130412	+	0.0785542i
$451$	13.9216	−	33.6097i	0.655542	−	1.58262i
$452$	2.62080	−	3.92230i	0.123272	−	0.184490i
$453$	−6.52383	−	32.7975i	−0.306516	−	1.54096i
$454$	−10.2192	−	2.03273i	−0.479612	−	0.0954008i
$455$	2.79894	+	2.40905i	0.131216	+	0.112938i
$456$	−4.67526	−	6.99703i	−0.218939	−	0.327666i
$457$	−26.6748	−	11.0490i	−1.24779	−	0.516853i	−0.341651	−	0.939827i	$-0.610986\pi$
$457$	−26.6748	−	11.0490i	−1.24779	−	0.516853i	−0.906142	+	0.422974i	$0.860986\pi$
$458$	−20.8102	−	20.8102i	−0.972399	−	0.972399i
$459$	4.78377	−	17.9051i	0.223287	−	0.835741i
$460$	5.05142	+	4.34777i	0.235524	+	0.202716i
$461$	4.69992	+	11.3466i	0.218897	+	0.528464i	0.994736	−	0.102466i	$-0.0326734\pi$
$461$	4.69992	+	11.3466i	0.218897	+	0.528464i	−0.775839	+	0.630930i	$0.782673\pi$
$462$	−7.04501	−	1.40134i	−0.327763	−	0.0651962i
$463$			7.54136i			0.350477i	0.984526	+	0.175238i	$0.0560696\pi$
$463$			7.54136i			0.350477i	−0.984526	+	0.175238i	$0.943930\pi$
$464$	−0.664436	+	3.34034i	−0.0308457	+	0.155072i
$465$	21.8429	−	6.07047i	1.01294	−	0.281511i
$466$	−23.1946	+	4.61370i	−1.07447	+	0.213726i
$467$	11.1391	+	26.8922i	0.515458	+	1.24442i	0.940667	+	0.339330i	$0.110200\pi$
$467$	11.1391	+	26.8922i	0.515458	+	1.24442i	−0.425210	+	0.905095i	$0.639800\pi$
$468$	−0.364588	−	0.880194i	−0.0168531	−	0.0406870i
$469$	11.0890	−	2.20574i	0.512042	−	0.101851i
$470$	−12.6505	−	7.14818i	−0.583525	−	0.329721i
$471$	2.22498	−	11.1857i	0.102522	−	0.515411i
$472$			2.05026i			0.0943708i
$473$	−21.9739	−	4.37089i	−1.01036	−	0.200974i
$474$	5.27597	+	12.7373i	0.242333	+	0.585044i
$475$	−21.7904	+	3.28101i	−0.999813	+	0.150543i
$476$	2.31119	+	3.99641i	0.105933	+	0.183175i
$477$	2.59456	+	2.59456i	0.118797	+	0.118797i
$478$	4.75068	+	1.96780i	0.217291	+	0.0900050i
$479$	−12.5738	−	18.8180i	−0.574510	−	0.859815i	0.424448	−	0.905452i	$-0.360468\pi$
$479$	−12.5738	−	18.8180i	−0.574510	−	0.859815i	−0.998958	+	0.0456376i	$0.985468\pi$
$480$	2.78526	−	3.23603i	0.127129	−	0.147704i
$481$	−12.2245	−	2.43161i	−0.557390	−	0.110872i
$482$	−3.97558	−	19.9866i	−0.181083	−	0.910365i
$483$	3.54032	−	5.29847i	0.161090	−	0.241089i
$484$	−0.110195	+	0.266035i	−0.00500887	+	0.0120925i
$485$	−19.5495	+	9.86719i	−0.887697	+	0.448046i
$486$	1.28825	+	6.47647i	0.0584362	+	0.293778i
$487$	−3.02032	+	0.600779i	−0.136864	+	0.0272239i	−0.263047	−	0.964783i	$-0.584727\pi$
$487$	−3.02032	+	0.600779i	−0.136864	+	0.0272239i	0.126183	+	0.992007i	$0.459727\pi$
$488$	−0.759247	−	1.13629i	−0.0343695	−	0.0514376i
$489$	2.18990	−	2.18990i	0.0990306	−	0.0990306i
$490$	−12.7542	−	1.55893i	−0.576176	−	0.0704252i
$491$	−34.0388	+	14.0993i	−1.53615	+	0.636293i	−0.980746	−	0.195288i	$-0.937436\pi$
$491$	−34.0388	+	14.0993i	−1.53615	+	0.636293i	−0.555402	+	0.831582i	$0.687436\pi$
$492$	14.6194	−	14.6194i	0.659094	−	0.659094i
$493$	13.9209	−	1.84299i	0.626968	−	0.0830041i
$494$		−	6.50057i		−	0.292474i
$495$	4.33201	−	2.18649i	0.194709	−	0.0982754i
$496$	−4.41494	+	2.94997i	−0.198237	+	0.132457i
$497$	−1.76279			−0.0790721
$498$	−20.3048	+	13.5673i	−0.909881	+	0.607963i
$499$	−19.3327	+	28.9334i	−0.865449	+	1.29524i	0.0887474	+	0.996054i	$0.471714\pi$
$499$	−19.3327	+	28.9334i	−0.865449	+	1.29524i	−0.954196	+	0.299181i	$0.903286\pi$
$500$	−4.56423	−	10.2063i	−0.204119	−	0.456438i
$501$	11.9120	+	4.93412i	0.532190	+	0.220440i
$502$	24.3922	−	10.1036i	1.08868	−	0.450944i
$503$	14.1195	+	9.43438i	0.629560	+	0.420658i	0.828998	−	0.559252i	$-0.188912\pi$
$503$	14.1195	+	9.43438i	0.629560	+	0.420658i	−0.199438	+	0.979910i	$0.563912\pi$
$504$	−0.601338	−	0.401801i	−0.0267857	−	0.0178976i
$505$	2.52515	−	20.6593i	0.112368	−	0.919325i
$506$	−7.08103	−	7.08103i	−0.314790	−	0.314790i
$507$	−4.03222	+	20.2713i	−0.179077	+	0.900281i
$508$	−4.00153	+	9.66056i	−0.177539	+	0.428618i
$509$	−22.5443			−0.999260			−0.499630	−	0.866239i	$-0.666531\pi$
$509$	−22.5443			−0.999260			−0.499630	+	0.866239i	$0.666531\pi$
$510$	−16.3306	−	6.57382i	−0.723130	−	0.291094i
$511$	14.1936			0.627890
$512$	−0.382683	+	0.923880i	−0.0169124	+	0.0408301i
$513$	−3.86478	+	19.4296i	−0.170634	+	0.857836i
$514$	−17.6029	−	17.6029i	−0.776430	−	0.776430i
$515$	21.3288	−	16.6827i	0.939861	−	0.735129i
$516$	−10.5871	−	7.07406i	−0.466070	−	0.311418i
$517$	18.1529	+	12.1294i	0.798364	+	0.533450i
$518$	−8.74144	+	3.62082i	−0.384077	+	0.159090i
$519$	−43.5494	−	18.0388i	−1.91161	−	0.791814i
$520$	3.17773	−	0.883137i	0.139353	−	0.0387281i
$521$	17.8905	−	26.7751i	0.783798	−	1.17304i	−0.197455	−	0.980312i	$-0.563268\pi$
$521$	17.8905	−	26.7751i	0.783798	−	1.17304i	0.981253	−	0.192725i	$-0.0617325\pi$
$522$	−1.82911	+	1.22217i	−0.0800579	+	0.0534930i
$523$	1.61991			0.0708338			0.0354169	−	0.999373i	$-0.488724\pi$
$523$	1.61991			0.0708338			0.0354169	+	0.999373i	$0.488724\pi$
$524$	17.8371	−	11.9184i	0.779219	−	0.520657i
$525$	−9.15692	+	5.51569i	−0.399641	+	0.240725i
$526$			23.7328i			1.03480i
$527$	17.3784	+	13.3150i	0.757017	+	0.580008i
$528$	−4.53624	+	4.53624i	−0.197414	+	0.197414i
$529$	−13.0415	+	5.40196i	−0.567021	+	0.234868i
$530$	−10.0054	+	7.82592i	−0.434607	+	0.339936i
$531$	−0.936417	+	0.936417i	−0.0406370	+	0.0406370i
$532$	−2.74157	−	4.10305i	−0.118862	−	0.177890i
$533$	15.6640	−	3.11577i	0.678484	−	0.134959i
$534$	2.74058	+	13.7778i	0.118597	+	0.596225i
$535$	−15.3952	−	30.5019i	−0.665592	−	1.31871i
$536$	3.86421	−	9.32903i	0.166908	−	0.402953i
$537$	3.97723	−	5.95235i	0.171630	−	0.256863i
$538$	−4.54858	−	22.8673i	−0.196103	−	0.985878i
$539$	18.9352	+	3.76645i	0.815597	+	0.162232i
$540$	−10.0230	+	0.750357i	−0.431320	+	0.0322902i
$541$	13.8851	+	20.7805i	0.596966	+	0.893423i	0.999761	−	0.0218676i	$-0.00696122\pi$
$541$	13.8851	+	20.7805i	0.596966	+	0.893423i	−0.402795	+	0.915290i	$0.631961\pi$
$542$	−24.0898	−	9.97831i	−1.03474	−	0.428605i
$543$	15.5236	+	15.5236i	0.666183	+	0.666183i
$544$	4.11447	+	0.266683i	0.176407	+	0.0114339i
$545$	2.61772	+	34.9665i	0.112131	+	1.49780i
$546$	−1.20678	−	2.91342i	−0.0516453	−	0.124683i
$547$	−21.0757	−	4.19223i	−0.901134	−	0.179247i	−0.277281	−	0.960789i	$-0.589433\pi$
$547$	−21.0757	−	4.19223i	−0.901134	−	0.179247i	−0.623853	+	0.781542i	$0.714433\pi$
$548$			2.64002i			0.112776i
$549$	0.172209	−	0.865752i	0.00734970	−	0.0369494i
$550$	5.69390	+	15.8044i	0.242789	+	0.673901i
$551$	−14.7216	+	2.92831i	−0.627161	+	0.124750i
$552$	−2.17795	−	5.25803i	−0.0926995	−	0.223796i
$553$	3.09382	+	7.46915i	0.131563	+	0.317620i
$554$	−11.7818	+	2.34354i	−0.500560	+	0.0995677i
$555$	17.7491	−	31.4116i	0.753409	−	1.33335i
$556$	2.84793	−	14.3175i	0.120779	−	0.607198i
$557$			5.43306i			0.230206i	0.993354	+	0.115103i	$0.0367199\pi$
$557$			5.43306i			0.230206i	−0.993354	+	0.115103i	$0.963280\pi$
$558$	−3.36378	−	0.669098i	−0.142400	−	0.0283252i
$559$	−3.76403	−	9.08718i	−0.159202	−	0.384347i
$560$	1.63327	−	1.89761i	0.0690184	−	0.0801886i
$561$	23.7313	+	11.6816i	1.00194	+	0.493198i
$562$	4.07894	+	4.07894i	0.172060	+	0.172060i
$563$	−14.7396	−	6.10535i	−0.621201	−	0.257310i	0.0498086	−	0.998759i	$-0.484139\pi$
$563$	−14.7396	−	6.10535i	−0.621201	−	0.257310i	−0.671009	+	0.741449i	$0.734139\pi$
$564$	6.89342	+	10.3167i	0.290265	+	0.434413i
$565$	0.787476	+	10.5188i	0.0331293	+	0.442529i
$566$	24.1108	+	4.79594i	1.01345	+	0.201588i
$567$	2.29811	+	11.5534i	0.0965115	+	0.485196i
$568$	−0.874669	+	1.30903i	−0.0367003	+	0.0549259i
$569$	0.933924	−	2.25469i	0.0391521	−	0.0945216i	−0.903094	−	0.429443i	$-0.858710\pi$
$569$	0.933924	−	2.25469i	0.0391521	−	0.0945216i	0.942246	+	0.334922i	$0.108710\pi$
$570$	17.8738	+	5.88304i	0.748651	+	0.246413i
$571$	0.962934	+	4.84100i	0.0402975	+	0.202589i	0.995689	−	0.0927524i	$-0.0295665\pi$
$571$	0.962934	+	4.84100i	0.0402975	+	0.202589i	−0.955392	+	0.295342i	$0.904566\pi$
$572$	−4.86037	+	0.966787i	−0.203222	+	0.0404234i
$573$	−14.3197	−	21.4310i	−0.598216	−	0.895294i
$574$	8.57281	−	8.57281i	0.357822	−	0.357822i
$575$	−14.8866	−	0.698711i	−0.620815	−	0.0291382i
$576$	−0.596748	+	0.247181i	−0.0248645	+	0.0102992i
$577$	−0.136968	+	0.136968i	−0.00570205	+	0.00570205i	−0.709952	−	0.704250i	$-0.751283\pi$
$577$	−0.136968	+	0.136968i	−0.00570205	+	0.00570205i	0.704250	+	0.709952i	$0.251283\pi$
$578$	−4.42372	−	16.4143i	−0.184002	−	0.682747i
$579$		−	25.4340i		−	1.05700i
$580$	−3.43148	−	6.79866i	−0.142484	−	0.282299i
$581$	−11.9067	+	7.95583i	−0.493975	+	0.330063i
$582$	18.6996			0.775124
$583$	15.8693	−	10.6035i	0.657239	−	0.439153i
$584$	7.04265	−	10.5401i	0.291427	−	0.436151i
$585$	1.85472	+	1.04801i	0.0766834	+	0.0433299i
$586$	−4.21281	−	1.74500i	−0.174029	−	0.0720854i
$587$	32.7156	−	13.5512i	1.35032	−	0.559319i	0.413936	−	0.910306i	$-0.364154\pi$
$587$	32.7156	−	13.5512i	1.35032	−	0.559319i	0.936380	+	0.350987i	$0.114154\pi$
$588$	9.12301	+	6.09580i	0.376226	+	0.251387i
$589$	−19.4576	−	13.0011i	−0.801735	−	0.535702i
$590$	−2.82449	−	3.61110i	−0.116282	−	0.148667i
$591$	14.9903	+	14.9903i	0.616618	+	0.616618i
$592$	−1.64857	+	8.28790i	−0.0677557	+	0.340631i
$593$	−0.0936126	+	0.226001i	−0.00384421	+	0.00928074i	−0.925790	−	0.378038i	$-0.876599\pi$
$593$	−0.0936126	+	0.226001i	−0.00384421	+	0.00928074i	0.921946	+	0.387319i	$0.126599\pi$
$594$	15.1019			0.619640
$595$	−9.57624	−	3.85488i	−0.392587	−	0.158035i
$596$	13.9002			0.569375
$597$	7.75074	−	18.7119i	0.317217	−	0.765829i
$598$	0.857684	−	4.31187i	0.0350733	−	0.176325i
$599$	−3.76458	−	3.76458i	−0.153817	−	0.153817i	0.626004	−	0.779820i	$-0.284690\pi$
$599$	−3.76458	−	3.76458i	−0.153817	−	0.153817i	−0.779820	+	0.626004i	$0.784690\pi$
$600$	−0.447607	+	9.53664i	−0.0182735	+	0.389332i
$601$	16.4183	+	10.9704i	0.669716	+	0.447490i	0.843382	−	0.537315i	$-0.180561\pi$
$601$	16.4183	+	10.9704i	0.669716	+	0.447490i	−0.173666	+	0.984805i	$0.555561\pi$
$602$	−6.20825	−	4.14822i	−0.253030	−	0.169069i
$603$	6.02576	−	2.49595i	0.245388	−	0.101643i
$604$	−16.1800	−	6.70198i	−0.658355	−	0.272700i
$605$	−0.172410	−	0.620372i	−0.00700948	−	0.0252217i
$606$	−9.87398	+	14.7775i	−0.401103	+	0.600293i
$607$	10.8002	−	7.21644i	0.438365	−	0.292906i	−0.316737	−	0.948513i	$-0.602587\pi$
$607$	10.8002	−	7.21644i	0.438365	−	0.292906i	0.755102	+	0.655607i	$0.227587\pi$
$608$	−4.40721			−0.178736
$609$	−6.05430	+	4.04535i	−0.245332	+	0.163926i
$610$	2.90264	+	0.955386i	0.117525	+	0.0386824i
$611$			9.58473i			0.387757i
$612$	1.75741	+	2.00101i	0.0710389	+	0.0808860i
$613$	−1.96205	+	1.96205i	−0.0792465	+	0.0792465i	−0.745619	−	0.666372i	$-0.767846\pi$
$613$	−1.96205	+	1.96205i	−0.0792465	+	0.0792465i	0.666372	+	0.745619i	$0.267846\pi$
$614$	8.94798	−	3.70637i	0.361111	−	0.149577i
$615$	−5.60896	+	45.8891i	−0.226175	+	1.85043i
$616$	−2.66005	+	2.66005i	−0.107176	+	0.107176i
$617$	6.88403	+	10.3027i	0.277141	+	0.414771i	0.943762	−	0.330626i	$-0.107260\pi$
$617$	6.88403	+	10.3027i	0.277141	+	0.414771i	−0.666621	+	0.745397i	$0.732260\pi$
$618$	−22.6785	+	4.51102i	−0.912261	+	0.181460i
$619$	8.22848	+	41.3674i	0.330731	+	1.66269i	0.685751	+	0.727836i	$0.259474\pi$
$619$	8.22848	+	41.3674i	0.330731	+	1.66269i	−0.355020	+	0.934859i	$0.615526\pi$
$620$	3.71204	−	11.2779i	0.149079	−	0.452931i
$621$	−5.12707	+	12.3778i	−0.205742	+	0.496706i
$622$	10.4278	−	15.6063i	0.418117	−	0.625756i
$623$	1.60708	+	8.07931i	0.0643861	+	0.323691i
$624$	−2.76226	−	0.549448i	−0.110579	−	0.0219955i
$625$	22.0994	+	11.6884i	0.883974	+	0.467536i
$626$	4.48099	+	6.70628i	0.179097	+	0.268037i
$627$	−26.1210	−	10.8197i	−1.04317	−	0.432096i
$628$	−4.22349	−	4.22349i	−0.168536	−	0.168536i
$629$	34.5400	−	4.57274i	1.37720	−	0.182327i
$630$	1.61266	−	0.120730i	0.0642500	−	0.00480999i
$631$	−11.2406	−	27.1372i	−0.447482	−	1.08032i	−0.973262	−	0.229697i	$-0.926227\pi$
$631$	−11.2406	−	27.1372i	−0.447482	−	1.08032i	0.525780	−	0.850620i	$-0.323773\pi$
$632$	7.08163	+	1.40862i	0.281692	+	0.0560320i
$633$			1.32481i			0.0526563i
$634$	0.711735	−	3.57813i	0.0282666	−	0.142106i
$635$	−6.26077	−	22.5277i	−0.248451	−	0.893984i
$636$	10.6385	−	2.11613i	0.421845	−	0.0839101i
$637$	3.24351	+	7.83053i	0.128513	+	0.310257i
$638$	4.37890	+	10.5716i	0.173362	+	0.418533i
$639$	−0.997365	+	0.198388i	−0.0394552	+	0.00784812i
$640$	−0.598743	−	2.15442i	−0.0236674	−	0.0851608i
$641$	4.01242	−	20.1718i	0.158481	−	0.796739i	−0.816997	−	0.576642i	$-0.804363\pi$
$641$	4.01242	−	20.1718i	0.158481	−	0.796739i	0.975478	−	0.220097i	$-0.0706373\pi$
$642$			29.1759i			1.15148i
$643$	−27.3802	−	5.44626i	−1.07977	−	0.214779i	−0.377011	−	0.926209i	$-0.623048\pi$
$643$	−27.3802	−	5.44626i	−1.07977	−	0.214779i	−0.702758	+	0.711429i	$0.748048\pi$
$644$	−1.27715	−	3.08330i	−0.0503266	−	0.121499i
$645$	28.3923	−	2.12555i	1.11795	−	0.0836936i
$646$	5.85347	+	17.2028i	0.230302	+	0.676835i
$647$	−4.09432	−	4.09432i	−0.160964	−	0.160964i	0.622029	−	0.782994i	$-0.286308\pi$
$647$	−4.09432	−	4.09432i	−0.160964	−	0.160964i	−0.782994	+	0.622029i	$0.786308\pi$
$648$	9.71971	+	4.02604i	0.381826	+	0.158158i
$649$	3.82697	+	5.72747i	0.150222	+	0.224823i
$650$	−4.38027	+	5.93318i	−0.171808	+	0.232719i
$651$	−11.1340	−	2.21470i	−0.436377	−	0.0868008i
$652$	−0.316425	−	1.59078i	−0.0123922	−	0.0622996i
$653$	−19.4777	+	29.1504i	−0.762220	+	1.14074i	0.223885	+	0.974616i	$0.428126\pi$
$653$	−19.4777	+	29.1504i	−0.762220	+	1.14074i	−0.986104	+	0.166127i	$0.946874\pi$
$654$	11.4584	−	27.6630i	0.448058	−	1.08171i
$655$	−14.9973	+	45.5646i	−0.585993	+	1.78036i
$656$	−2.11241	−	10.6198i	−0.0824756	−	0.414633i
$657$	8.03058	−	1.59738i	0.313303	−	0.0623198i
$658$	4.04229	+	6.04972i	0.157585	+	0.235843i
$659$	31.0957	−	31.0957i	1.21132	−	1.21132i	0.240723	−	0.970594i	$-0.422615\pi$
$659$	31.0957	−	31.0957i	1.21132	−	1.21132i	0.970594	−	0.240723i	$-0.0773847\pi$
$660$	1.74040	−	14.2389i	0.0677449	−	0.554248i
$661$	−11.7519	+	4.86779i	−0.457095	+	0.189335i	−0.599337	−	0.800497i	$-0.704569\pi$
$661$	−11.7519	+	4.86779i	−0.457095	+	0.189335i	0.142242	+	0.989832i	$0.454569\pi$
$662$	−6.09656	+	6.09656i	−0.236949	+	0.236949i
$663$	1.52404	+	11.5118i	0.0591888	+	0.447080i
$664$			12.7894i			0.496324i
$665$	10.4812	+	3.44981i	0.406443	+	0.133778i
$666$	−4.53829	+	3.03239i	−0.175855	+	0.117503i
$667$	−10.1513			−0.393060
$668$	5.61453	−	3.75151i	0.217233	−	0.145150i
$669$	−15.6766	+	23.4617i	−0.606092	+	0.907081i
$670$	6.04591	+	21.7546i	0.233574	+	0.840453i
$671$	−4.24197	−	1.75708i	−0.163759	−	0.0678313i
$672$	−1.97522	+	0.818163i	−0.0761957	+	0.0315613i
$673$	7.99406	+	5.34146i	0.308148	+	0.205898i	0.700023	−	0.714121i	$-0.253173\pi$
$673$	7.99406	+	5.34146i	0.308148	+	0.205898i	−0.391874	+	0.920019i	$0.628173\pi$
$674$	14.9773	+	10.0075i	0.576903	+	0.385474i
$675$	16.6197	−	15.1295i	0.639691	−	0.582335i
$676$	7.65402	+	7.65402i	0.294385	+	0.294385i
$677$	9.29139	−	46.7110i	0.357097	−	1.79525i	−0.216685	−	0.976242i	$-0.569524\pi$
$677$	9.29139	−	46.7110i	0.357097	−	1.79525i	0.573782	−	0.819008i	$-0.305476\pi$
$678$	3.44697	−	8.32173i	0.132380	−	0.319594i
$679$	10.9654			0.420815
$680$	−7.61417	+	5.19850i	−0.291990	+	0.199353i
$681$	−19.8952			−0.762385
$682$	−6.82693	+	16.4817i	−0.261417	+	0.631116i
$683$	−5.60049	+	28.1556i	−0.214297	+	1.07734i	0.712469	+	0.701703i	$0.247577\pi$
$683$	−5.60049	+	28.1556i	−0.214297	+	1.07734i	−0.926766	+	0.375639i	$0.877423\pi$
$684$	−2.01291	−	2.01291i	−0.0769656	−	0.0769656i
$685$	−3.63696	−	4.64984i	−0.138961	−	0.177661i
$686$	11.8666	+	7.92903i	0.453070	+	0.302732i
$687$	−46.7242	−	31.2201i	−1.78264	−	1.19112i
$688$	−6.16087	+	2.55191i	−0.234881	+	0.0972908i
$689$	7.74117	+	3.20650i	0.294915	+	0.122158i
$690$	11.0796	+	6.26052i	0.421793	+	0.238334i
$691$	0.0404553	−	0.0605456i	0.00153899	−	0.00230326i	−0.830699	−	0.556721i	$-0.812059\pi$
$691$	0.0404553	−	0.0605456i	0.00153899	−	0.00230326i	0.832238	+	0.554418i	$0.187059\pi$
$692$	−20.5263	+	13.7152i	−0.780292	+	0.521374i
$693$	−2.42985			−0.0923025
$694$	−11.5751	+	7.73424i	−0.439385	+	0.293588i
$695$	14.7081	+	29.1407i	0.557911	+	1.10537i
$696$			6.50310i			0.246499i
$697$	−38.6469	+	22.3502i	−1.46386	+	0.846573i
$698$	−3.72540	+	3.72540i	−0.141008	+	0.141008i
$699$	−41.7189	+	17.2805i	−1.57795	+	0.653609i
$700$	−0.262476	+	5.59228i	−0.00992067	+	0.211368i
$701$	26.6757	−	26.6757i	1.00753	−	1.00753i	0.00755517	−	0.999971i	$-0.497595\pi$
$701$	26.6757	−	26.6757i	1.00753	−	1.00753i	0.999971	−	0.00755517i	$-0.00240491\pi$
$702$	3.68342	+	5.51263i	0.139022	+	0.208061i
$703$	−36.5265	+	7.26558i	−1.37762	+	0.274027i
$704$	0.655456	+	3.29520i	0.0247034	+	0.124192i
$705$	−26.3539	−	8.67421i	−0.992546	−	0.326690i
$706$	−1.76221	+	4.25436i	−0.0663218	+	0.160115i
$707$	−5.79010	+	8.66549i	−0.217759	+	0.325899i
$708$	0.763743	+	3.83960i	0.0287032	+	0.144301i
$709$	20.1900	+	4.01603i	0.758250	+	0.150825i	0.559050	−	0.829134i	$-0.311166\pi$
$709$	20.1900	+	4.01603i	0.758250	+	0.150825i	0.199200	+	0.979959i	$0.436166\pi$
$710$	−0.262813	−	3.51056i	−0.00986320	−	0.131749i
$711$	2.59104	+	3.87776i	0.0971715	+	0.145427i
$712$	6.79703	+	2.81542i	0.254729	+	0.105512i
$713$	−11.1910	−	11.1910i	−0.419105	−	0.419105i
$714$	5.81696	+	6.62329i	0.217694	+	0.247870i
$715$	7.22865	−	8.39856i	0.270336	−	0.314088i
$716$	−1.43476	−	3.46381i	−0.0536194	−	0.129449i
$717$	9.62982	+	1.91549i	0.359632	+	0.0715353i
$718$		−	2.91610i		−	0.108828i
$719$	−5.54702	+	27.8868i	−0.206869	+	1.04000i	0.728154	+	0.685414i	$0.240379\pi$
$719$	−5.54702	+	27.8868i	−0.206869	+	1.04000i	−0.935023	+	0.354587i	$0.884621\pi$
$720$	0.710524	−	1.25745i	0.0264797	−	0.0468625i
$721$	−13.2986	+	2.64526i	−0.495267	+	0.0985147i
$722$	−0.162071	−	0.391274i	−0.00603165	−	0.0145617i
$723$	−14.8905	−	35.9487i	−0.553782	−	1.33695i
$724$	11.2766	−	2.24306i	0.419092	−	0.0833627i
$725$	15.4098	+	7.24713i	0.572307	+	0.269152i
$726$	−0.107266	+	0.539262i	−0.00398101	+	0.0200139i
$727$			7.47251i			0.277140i	0.990353	+	0.138570i	$0.0442506\pi$
$727$			7.47251i			0.277140i	−0.990353	+	0.138570i	$0.955749\pi$
$728$	−1.61979	−	0.322196i	−0.0600333	−	0.0119414i
$729$	−7.25300	−	17.5103i	−0.268630	−	0.648529i
$730$	2.11612	+	28.2663i	0.0783210	+	1.04618i
$731$	18.1436	+	20.6586i	0.671064	+	0.764084i
$732$	−1.84515	−	1.84515i	−0.0681988	−	0.0681988i
$733$	21.8467	+	9.04922i	0.806928	+	0.334240i	0.747727	−	0.664006i	$-0.231145\pi$
$733$	21.8467	+	9.04922i	0.806928	+	0.334240i	0.0592002	+	0.998246i	$0.481145\pi$
$734$	−15.3924	−	23.0363i	−0.568143	−	0.850286i
$735$	−24.4660	+	1.83161i	−0.902442	+	0.0675601i
$736$	−2.92333	−	0.581487i	−0.107755	−	0.0214339i
$737$	−6.61857	−	33.2738i	−0.243798	−	1.22566i
$738$	3.88558	−	5.81519i	0.143030	−	0.214060i
$739$	−7.78459	+	18.7937i	−0.286361	+	0.691336i	−0.999957	−	0.00922058i	$-0.997065\pi$
$739$	−7.78459	+	18.7937i	−0.286361	+	0.691336i	0.713597	+	0.700557i	$0.247065\pi$
$740$	−8.51402	−	16.8685i	−0.312982	−	0.620099i
$741$	−2.42153	−	12.1739i	−0.0889572	−	0.447218i
$742$	6.23842	−	1.24090i	0.229020	−	0.0455548i
$743$	−9.48428	−	14.1942i	−0.347944	−	0.520736i	0.615680	−	0.787996i	$-0.288882\pi$
$743$	−9.48428	−	14.1942i	−0.347944	−	0.520736i	−0.963624	+	0.267261i	$0.913882\pi$
$744$	−7.16913	+	7.16913i	−0.262833	+	0.262833i
$745$	−24.4823	+	19.1493i	−0.896963	+	0.701576i
$746$	26.8344	−	11.1152i	0.982479	−	0.406956i
$747$	−5.84131	+	5.84131i	−0.213722	+	0.213722i
$748$	11.9917	−	6.93500i	0.438460	−	0.253569i
$749$			17.1087i			0.625139i
$750$	−12.3496	−	17.4134i	−0.450942	−	0.635849i
$751$	26.6454	−	17.8039i	0.972304	−	0.649673i	0.0354419	−	0.999372i	$-0.488716\pi$
$751$	26.6454	−	17.8039i	0.972304	−	0.649673i	0.936862	+	0.349699i	$0.113716\pi$
$752$	6.49819			0.236965
$753$	41.9165	−	28.0077i	1.52752	−	1.02066i
$754$	−2.79090	+	4.17687i	−0.101638	+	0.152113i
$755$	37.7305	−	10.4859i	1.37316	−	0.381620i
$756$	4.64983	+	1.92602i	0.169113	+	0.0700488i
$757$	−13.3620	+	5.53472i	−0.485650	+	0.201163i	−0.612054	−	0.790816i	$-0.709657\pi$
$757$	−13.3620	+	5.53472i	−0.485650	+	0.201163i	0.126404	+	0.991979i	$0.459657\pi$
$758$	−7.12879	−	4.76330i	−0.258929	−	0.173011i
$759$	−15.8987	−	10.6232i	−0.577086	−	0.385596i
$760$	7.76238	−	6.07149i	0.281571	−	0.220236i
$761$	1.08983	+	1.08983i	0.0395062	+	0.0395062i	0.726584	−	0.687078i	$-0.241107\pi$
$761$	1.08983	+	1.08983i	0.0395062	+	0.0395062i	−0.687078	+	0.726584i	$0.741107\pi$
$762$	−3.89517	+	19.5823i	−0.141107	+	0.709393i
$763$	6.71918	−	16.2215i	0.243251	−	0.587259i
$764$	−13.4987			−0.488367
$765$	−5.85194	−	1.10331i	−0.211578	−	0.0398904i
$766$	6.68340			0.241481
$767$	−1.15727	+	2.79390i	−0.0417867	+	0.100882i
$768$	−0.372511	+	1.87274i	−0.0134418	+	0.0675766i
$769$	30.1734	+	30.1734i	1.08808	+	1.08808i	0.995726	+	0.0923529i	$0.0294388\pi$
$769$	30.1734	+	30.1734i	1.08808	+	1.08808i	0.0923529	+	0.995726i	$0.470561\pi$
$770$	1.02057	−	8.34967i	0.0367787	−	0.300901i
$771$	−39.5229	−	26.4083i	−1.42338	−	0.951073i
$772$	−11.0753	−	7.40031i	−0.398611	−	0.266343i
$773$	19.3612	−	8.01967i	0.696374	−	0.288448i	−0.00627901	−	0.999980i	$-0.501999\pi$
$773$	19.3612	−	8.01967i	0.696374	−	0.288448i	0.702653	+	0.711533i	$0.251999\pi$
$774$	−3.97940	−	1.64832i	−0.143036	−	0.0592477i
$775$	8.99872	+	24.9775i	0.323244	+	0.897217i
$776$	5.44087	−	8.14284i	0.195316	−	0.292311i
$777$	−15.0216	+	10.0371i	−0.538898	+	0.360080i
$778$	22.8803			0.820297
$779$	39.6782	−	26.5121i	1.42162	−	0.949895i
$780$	5.62208	−	2.83762i	0.201303	−	0.101603i
$781$			5.28947i			0.189272i
$782$	1.61291	+	12.1830i	0.0576775	+	0.435665i
$783$	10.8250	−	10.8250i	0.386854	−	0.386854i
$784$	5.30889	−	2.19901i	0.189603	−	0.0785362i
$785$	13.2572	+	1.62041i	0.473169	+	0.0578348i
$786$	28.9646	−	28.9646i	1.03313	−	1.03313i
$787$	−6.59136	−	9.86467i	−0.234957	−	0.351638i	0.695190	−	0.718826i	$-0.255320\pi$
$787$	−6.59136	−	9.86467i	−0.234957	−	0.351638i	−0.930146	+	0.367189i	$0.880320\pi$
$788$	10.8892	−	2.16600i	0.387911	−	0.0771604i
$789$	8.84071	+	44.4452i	0.314738	+	1.58229i
$790$	−14.4134	+	7.27484i	−0.512804	+	0.258827i
$791$	2.02130	−	4.87985i	0.0718692	−	0.173508i
$792$	−1.20565	+	1.80439i	−0.0428410	+	0.0641161i
$793$	−0.393249	−	1.97699i	−0.0139647	−	0.0702051i
$794$	5.05339	+	1.00518i	0.179338	+	0.0356725i
$795$	−15.8223	+	18.3830i	−0.561159	+	0.651979i
$796$	−5.89304	−	8.81955i	−0.208873	−	0.312601i
$797$	15.6816	+	6.49555i	0.555472	+	0.230084i	0.642718	−	0.766103i	$-0.277807\pi$
$797$	15.6816	+	6.49555i	0.555472	+	0.230084i	−0.0872460	+	0.996187i	$0.527807\pi$
$798$	−6.66268	−	6.66268i	−0.235856	−	0.235856i
$799$	−8.63062	−	25.3646i	−0.305329	−	0.897335i
$800$	4.02254	+	2.96971i	0.142218	+	0.104995i
$801$	1.81852	+	4.39031i	0.0642544	+	0.155124i
$802$	−7.54925	−	1.50164i	−0.266573	−	0.0530248i
$803$		−	42.5897i		−	1.50296i
$804$	3.76149	−	18.9103i	0.132658	−	0.666915i
$805$	6.49706	+	3.67116i	0.228991	+	0.129392i
$806$	−7.68139	+	1.52792i	−0.270565	+	0.0538188i
$807$	−17.0366	−	41.1300i	−0.599717	−	1.44785i
$808$	3.56197	+	8.59935i	0.125310	+	0.302524i
$809$	−45.7502	+	9.10028i	−1.60849	+	0.319949i	−0.915908	−	0.401389i	$-0.868527\pi$
$809$	−45.7502	+	9.10028i	−1.60849	+	0.319949i	−0.692583	+	0.721338i	$0.743527\pi$
$810$	−22.6656	+	6.29910i	−0.796388	+	0.221328i
$811$	0.674470	−	3.39079i	0.0236838	−	0.119067i	−0.967135	−	0.254264i	$-0.918167\pi$
$811$	0.674470	−	3.39079i	0.0236838	−	0.119067i	0.990819	+	0.135197i	$0.0431668\pi$
$812$			3.81341i			0.133825i
$813$	−48.8309	−	9.71307i	−1.71257	−	0.340652i
$814$	10.8647	+	26.2297i	0.380808	+	0.919351i
$815$	2.74881	+	2.36591i	0.0962867	+	0.0828741i
$816$	7.80467	−	1.03326i	0.273218	−	0.0361713i
$817$	−20.7814	−	20.7814i	−0.727050	−	0.727050i
$818$	18.0122	+	7.46089i	0.629781	+	0.260864i
$819$	−0.592650	−	0.886964i	−0.0207089	−	0.0309930i
$820$	18.3506	+	15.7944i	0.640832	+	0.551565i
$821$	24.0144	+	4.77676i	0.838108	+	0.166710i	0.595440	−	0.803400i	$-0.296978\pi$
$821$	24.0144	+	4.77676i	0.838108	+	0.166710i	0.242667	+	0.970110i	$0.421978\pi$
$822$	0.983436	+	4.94406i	0.0343013	+	0.172444i
$823$	13.7500	−	20.5783i	0.479294	−	0.717314i	−0.510491	−	0.859883i	$-0.670536\pi$
$823$	13.7500	−	20.5783i	0.479294	−	0.717314i	0.989785	+	0.142569i	$0.0455364\pi$
$824$	−4.63421	+	11.1880i	−0.161440	+	0.389752i
$825$	16.5505	+	27.4764i	0.576214	+	0.956606i
$826$	0.447859	+	2.25154i	0.0155830	+	0.0783410i
$827$	−13.4607	+	2.67750i	−0.468075	+	0.0931059i	−0.423492	−	0.905900i	$-0.639196\pi$
$827$	−13.4607	+	2.67750i	−0.468075	+	0.0931059i	−0.0445827	+	0.999006i	$0.514196\pi$
$828$	−1.06959	−	1.60076i	−0.0371709	−	0.0556302i
$829$	−29.3526	+	29.3526i	−1.01946	+	1.01946i	−0.0196510	+	0.999807i	$0.506256\pi$
$829$	−29.3526	+	29.3526i	−1.01946	+	1.01946i	−0.999807	+	0.0196510i	$0.993744\pi$
$830$	−17.6190	−	22.5258i	−0.611564	−	0.781883i
$831$	−21.1912	+	8.77769i	−0.735115	+	0.304495i
$832$	−1.04297	+	1.04297i	−0.0361585	+	0.0361585i
$833$	−15.6345	−	17.8017i	−0.541704	−	0.616793i
$834$		−	27.8738i		−	0.965192i
$835$	−4.72065	+	14.3422i	−0.163365	+	0.496333i
$836$	−12.3117	+	8.22641i	−0.425809	+	0.284516i
$837$	23.8673			0.824975
$838$	28.2379	−	18.8680i	0.975463	−	0.651784i
$839$	−7.97729	+	11.9389i	−0.275407	+	0.412175i	−0.943228	−	0.332147i	$-0.892227\pi$
$839$	−7.97729	+	11.9389i	−0.275407	+	0.412175i	0.667821	+	0.744322i	$0.267227\pi$
$840$	2.35181	−	4.16214i	0.0811453	−	0.143607i
$841$	−16.0761	−	6.65893i	−0.554348	−	0.229618i
$842$	8.70589	−	3.60610i	0.300025	−	0.124274i
$843$	9.15824	+	6.11934i	0.315426	+	0.210761i
$844$	0.576893	+	0.385468i	0.0198575	+	0.0132683i
$845$	−24.0253	−	2.93658i	−0.826497	−	0.101022i
$846$	2.96793	+	2.96793i	0.102039	+	0.102039i
$847$	−0.0629007	+	0.316223i	−0.00216129	+	0.0108656i
$848$	2.17392	−	5.24831i	0.0746527	−	0.180228i
$849$	46.9398			1.61097
$850$	6.24919	−	19.6455i	0.214346	−	0.673837i
$851$	−25.1869			−0.863396
$852$	−1.15040	+	2.77730i	−0.0394119	+	0.0951489i
$853$	−2.86088	+	14.3826i	−0.0979547	+	0.492451i	0.900398	+	0.435068i	$0.143276\pi$
$853$	−2.86088	+	14.3826i	−0.0979547	+	0.492451i	−0.998352	+	0.0573833i	$0.981724\pi$
$854$	−1.08200	−	1.08200i	−0.0370252	−	0.0370252i
$855$	6.31836	+	0.772284i	0.216083	+	0.0264116i
$856$	12.7048	+	8.48906i	0.434241	+	0.290150i
$857$	−13.0777	−	8.73823i	−0.446725	−	0.298492i	0.311786	−	0.950152i	$-0.399073\pi$
$857$	−13.0777	−	8.73823i	−0.446725	−	0.298492i	−0.758511	+	0.651660i	$0.774073\pi$
$858$	−8.74206	+	3.62108i	−0.298449	+	0.123622i
$859$	−24.7885	−	10.2677i	−0.845773	−	0.350331i	−0.0826457	−	0.996579i	$-0.526337\pi$
$859$	−24.7885	−	10.2677i	−0.845773	−	0.350331i	−0.763127	+	0.646248i	$0.776337\pi$
$860$	7.33550	−	12.9820i	0.250138	−	0.442684i
$861$	12.8612	−	19.2481i	0.438308	−	0.655974i
$862$	−1.43299	+	0.957493i	−0.0488078	+	0.0326123i
$863$	37.9589			1.29214			0.646068	−	0.763280i	$-0.276412\pi$
$863$	37.9589			1.29214			0.646068	+	0.763280i	$0.276412\pi$
$864$	3.73742	−	2.49726i	0.127150	−	0.0849586i
$865$	17.2583	−	52.4340i	0.586800	−	1.78281i
$866$			12.9050i			0.438531i
$867$	−14.3990	−	29.0919i	−0.489015	−	0.988013i
$868$	−4.20397	+	4.20397i	−0.142692	+	0.142692i
$869$	22.4121	−	9.28338i	0.760277	−	0.314917i
$870$	−8.95884	−	11.4539i	−0.303733	−	0.388322i
$871$	10.5316	−	10.5316i	0.356849	−	0.356849i
$872$	−8.71203	−	13.0385i	−0.295026	−	0.441538i
$873$	6.20410	−	1.23407i	0.209977	−	0.0417670i
$874$	−2.56273	−	12.8837i	−0.0866858	−	0.435799i
$875$	−7.24177	−	10.2112i	−0.244817	−	0.345202i
$876$	9.26276	−	22.3623i	0.312960	−	0.755551i
$877$	−22.3629	+	33.4685i	−0.755142	+	1.13015i	0.232373	+	0.972627i	$0.425351\pi$
$877$	−22.3629	+	33.4685i	−0.755142	+	1.13015i	−0.987515	+	0.157524i	$0.949649\pi$
$878$	−2.44186	−	12.2761i	−0.0824089	−	0.414297i
$879$	−8.53952	−	1.69862i	−0.288031	−	0.0572929i
$880$	−5.69400	−	4.90083i	−0.191945	−	0.165207i
$881$	−12.0158	−	17.9829i	−0.404822	−	0.605858i	0.571912	−	0.820315i	$-0.306202\pi$
$881$	−12.0158	−	17.9829i	−0.404822	−	0.605858i	−0.976733	+	0.214457i	$0.931202\pi$
$882$	3.42909	+	1.42038i	0.115464	+	0.0478266i
$883$	−2.48050	−	2.48050i	−0.0834755	−	0.0834755i	0.664136	−	0.747612i	$-0.268800\pi$
$883$	−2.48050	−	2.48050i	−0.0834755	−	0.0834755i	−0.747612	+	0.664136i	$0.768800\pi$
$884$	5.45629	+	2.68583i	0.183515	+	0.0903343i
$885$	−6.63470	−	5.71050i	−0.223023	−	0.191956i
$886$	−7.96943	−	19.2399i	−0.267738	−	0.646377i
$887$	6.05231	+	1.20388i	0.203217	+	0.0404223i	0.295649	−	0.955297i	$-0.404464\pi$
$887$	6.05231	+	1.20388i	0.203217	+	0.0404223i	−0.0924323	+	0.995719i	$0.529464\pi$
$888$			16.1352i			0.541461i
$889$	−2.28412	+	11.4831i	−0.0766070	+	0.385129i
$890$	−15.8501	+	4.40499i	−0.531298	+	0.147655i
$891$	34.6673	−	6.89575i	1.16140	−	0.231016i
$892$	5.65522	+	13.6529i	0.189351	+	0.457133i
$893$	10.9596	+	26.4589i	0.366750	+	0.885413i
$894$	26.0315	−	5.17798i	0.870623	−	0.173178i
$895$	7.29886	+	4.12422i	0.243974	+	0.137857i
$896$	−0.218440	+	1.09817i	−0.00729757	+	0.0366874i
$897$		−	8.39450i		−	0.280284i
$898$	−17.2646	−	3.43413i	−0.576126	−	0.114598i
$899$	6.92047	+	16.7075i	0.230810	+	0.557226i
$900$	0.480861	+	3.19358i	0.0160287	+	0.106453i
$901$	−23.3732	−	1.51495i	−0.778674	−	0.0504704i
$902$	−25.7237	−	25.7237i	−0.856507	−	0.856507i
$903$	−13.1717	−	5.45589i	−0.438327	−	0.181561i
$904$	−2.62080	−	3.92230i	−0.0871665	−	0.130454i
$905$	−16.7713	+	19.4857i	−0.557498	+	0.647725i
$906$	−32.7975	−	6.52383i	−1.08962	−	0.216740i
$907$	−4.57567	−	23.0034i	−0.151933	−	0.763816i	−0.979341	−	0.202216i	$-0.935186\pi$
$907$	−4.57567	−	23.0034i	−0.151933	−	0.763816i	0.827408	−	0.561601i	$-0.189814\pi$
$908$	−5.78873	+	8.66345i	−0.192106	+	0.287507i
$909$	−2.30073	+	5.55445i	−0.0763103	+	0.184229i
$910$	3.29678	−	1.66398i	0.109287	−	0.0551604i
$911$	6.15409	+	30.9387i	0.203894	+	1.02504i	0.938165	+	0.346188i	$0.112524\pi$
$911$	6.15409	+	30.9387i	0.203894	+	1.02504i	−0.734271	+	0.678856i	$0.762476\pi$
$912$	−8.25356	+	1.64173i	−0.273303	+	0.0543633i
$913$	23.8724	+	35.7276i	0.790061	+	1.18241i
$914$	−20.4160	+	20.4160i	−0.675301	+	0.675301i
$915$	5.79178	+	0.707922i	0.191470	+	0.0234032i
$916$	−27.1899	+	11.2624i	−0.898379	+	0.372121i
$917$	16.9848	−	16.9848i	0.560887	−	0.560887i
$918$	−14.7115	−	11.2716i	−0.485553	−	0.372019i
$919$			6.15043i			0.202884i	0.994841	+	0.101442i	$0.0323456\pi$
$919$			6.15043i			0.202884i	−0.994841	+	0.101442i	$0.967654\pi$
$920$	5.94991	−	3.00309i	0.196163	−	0.0990089i
$921$	15.3766	−	10.2743i	0.506675	−	0.338549i
$922$	12.2815			0.404469
$923$	−1.93081	+	1.29012i	−0.0635532	+	0.0424649i
$924$	−3.99068	+	5.97247i	−0.131284	+	0.196480i
$925$	38.2342	+	17.9812i	1.25713	+	0.591219i
$926$	6.96731	+	2.88595i	0.228960	+	0.0948384i
$927$	−7.22648	+	2.99331i	−0.237349	+	0.0983131i
$928$	2.83181	+	1.89215i	0.0929586	+	0.0621130i
$929$	−28.9299	−	19.3303i	−0.949158	−	0.634207i	−0.0183953	−	0.999831i	$-0.505856\pi$
$929$	−28.9299	−	19.3303i	−0.949158	−	0.634207i	−0.930763	+	0.365624i	$0.880856\pi$
$930$	2.75055	−	22.5033i	0.0901940	−	0.737913i
$931$	17.9076	+	17.9076i	0.586898	+	0.586898i
$932$	−4.61370	+	23.1946i	−0.151127	+	0.759766i
$933$	13.7150	−	33.1110i	0.449010	−	1.08401i
$934$	29.1080			0.952441
$935$	−11.5670	+	28.7346i	−0.378283	+	0.939723i
$936$	−0.952715			−0.0311405
$937$	2.37169	−	5.72576i	0.0774797	−	0.187052i	−0.880394	−	0.474244i	$-0.842722\pi$
$937$	2.37169	−	5.72576i	0.0774797	−	0.187052i	0.957873	+	0.287191i	$0.0927215\pi$
$938$	2.20574	−	11.0890i	0.0720198	−	0.362068i
$939$	10.8899	+	10.8899i	0.355378	+	0.355378i
$940$	−11.4452	+	8.95207i	−0.373301	+	0.291984i
$941$	−23.6256	−	15.7861i	−0.770171	−	0.514612i	0.107308	−	0.994226i	$-0.465777\pi$
$941$	−23.6256	−	15.7861i	−0.770171	−	0.514612i	−0.877480	+	0.479614i	$0.840777\pi$
$942$	−9.48280	−	6.33620i	−0.308966	−	0.206445i
$943$	29.8168	−	12.3505i	0.970969	−	0.402188i
$944$	1.89419	+	0.784600i	0.0616507	+	0.0255365i
$945$	−10.8431	+	3.01344i	−0.352724	+	0.0980273i
$946$	−12.4472	+	18.6286i	−0.404695	+	0.605668i
$947$	−1.13169	+	0.756170i	−0.0367749	+	0.0245722i	−0.573822	−	0.818980i	$-0.694540\pi$
$947$	−1.13169	+	0.756170i	−0.0367749	+	0.0245722i	0.537047	+	0.843552i	$0.319540\pi$
$948$	13.7868			0.447773
$949$	15.5464	−	10.3878i	0.504659	−	0.337202i
$950$	−5.30758	+	21.3873i	−0.172201	+	0.693896i
$951$		−	6.96604i		−	0.225889i
$952$	4.57665	−	0.605902i	0.148330	−	0.0196374i
$953$	−9.60650	+	9.60650i	−0.311185	+	0.311185i	−0.845368	−	0.534184i	$-0.820619\pi$
$953$	−9.60650	+	9.60650i	−0.311185	+	0.311185i	0.534184	+	0.845368i	$0.320619\pi$
$954$	3.38996	−	1.40417i	0.109754	−	0.0454616i
$955$	23.7752	−	18.5962i	0.769348	−	0.601759i
$956$	3.63602	−	3.63602i	0.117597	−	0.117597i
$957$	12.1386	+	18.1666i	0.392384	+	0.587244i
$958$	−22.1973	+	4.41532i	−0.717162	+	0.142652i
$959$	0.576686	+	2.89920i	0.0186222	+	0.0936199i
$960$	−1.92383	−	3.81162i	−0.0620915	−	0.123019i
$961$	1.07381	−	2.59240i	0.0346390	−	0.0836259i
$962$	−6.92464	+	10.3635i	−0.223259	+	0.334131i
$963$	1.92545	+	9.67989i	0.0620468	+	0.311930i
$964$	−19.9866	−	3.97558i	−0.643725	−	0.128045i
$965$	29.7018	−	2.22358i	0.956134	−	0.0715797i
$966$	−3.54032	−	5.29847i	−0.113908	−	0.170475i
$967$	−7.28267	−	3.01658i	−0.234195	−	0.0970067i	0.262500	−	0.964932i	$-0.415453\pi$
$967$	−7.28267	−	3.01658i	−0.234195	−	0.0970067i	−0.496695	+	0.867925i	$0.665453\pi$
$968$	0.203614	+	0.203614i	0.00654441	+	0.00654441i
$969$	17.3703	+	30.0359i	0.558013	+	0.964892i
$970$	1.63483	+	21.8374i	0.0524911	+	0.701156i
$971$	−18.9760	−	45.8122i	−0.608970	−	1.47018i	−0.864122	−	0.503283i	$-0.832125\pi$
$971$	−18.9760	−	45.8122i	−0.608970	−	1.47018i	0.255152	−	0.966901i	$-0.417875\pi$
$972$	6.47647	+	1.28825i	0.207733	+	0.0413206i
$973$		−	16.3452i		−	0.524003i
$974$	−0.600779	+	3.02032i	−0.0192502	+	0.0967773i
$975$	−5.99293	+	12.7430i	−0.191927	+	0.408103i
$976$	−1.34035	+	0.266612i	−0.0429036	+	0.00853405i
$977$	20.3516	+	49.1330i	0.651104	+	1.57190i	0.811178	+	0.584800i	$0.198827\pi$
$977$	20.3516	+	49.1330i	0.651104	+	1.57190i	−0.160073	+	0.987105i	$0.551173\pi$
$978$	−1.18516	−	2.86124i	−0.0378974	−	0.0914923i
$979$	24.2429	−	4.82222i	0.774808	−	0.154119i
$980$	−6.32108	+	11.1868i	−0.201920	+	0.357348i
$981$	1.97602	−	9.93413i	0.0630895	−	0.317172i
$982$			36.8433i			1.17572i
$983$	26.6004	+	5.29115i	0.848421	+	0.168761i	0.600109	−	0.799918i	$-0.295124\pi$
$983$	26.6004	+	5.29115i	0.848421	+	0.168761i	0.248313	+	0.968680i	$0.420124\pi$
$984$	−7.91197	−	19.1012i	−0.252224	−	0.608923i
$985$	−16.1951	+	18.8162i	−0.516019	+	0.599533i
$986$	3.62461	−	13.5666i	0.115431	−	0.432047i
$987$	9.82375	+	9.82375i	0.312693	+	0.312693i
$988$	−6.00574	−	2.48766i	−0.191068	−	0.0791430i
$989$	−11.0426	−	16.5263i	−0.351133	−	0.525507i
$990$	−0.362264	−	4.83899i	−0.0115135	−	0.153793i
$991$	−24.0535	−	4.78455i	−0.764086	−	0.151986i	−0.202362	−	0.979311i	$-0.564862\pi$
$991$	−24.0535	−	4.78455i	−0.764086	−	0.151986i	−0.561724	+	0.827325i	$0.689862\pi$
$992$	1.03589	+	5.20778i	0.0328896	+	0.165347i
$993$	−9.14622	+	13.6883i	−0.290247	+	0.434385i
$994$	−0.674592	+	1.62861i	−0.0213968	+	0.0516563i
$995$	22.5294	+	7.41540i	0.714230	+	0.235084i
$996$	4.76419	+	23.9512i	0.150959	+	0.758922i
$997$	−25.4872	+	5.06972i	−0.807188	+	0.160560i	−0.581401	−	0.813617i	$-0.697495\pi$
$997$	−25.4872	+	5.06972i	−0.807188	+	0.160560i	−0.225787	+	0.974177i	$0.572495\pi$
$998$	19.3327	+	28.9334i	0.611965	+	0.915870i
$999$	26.8585	−	26.8585i	0.849764	−	0.849764i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	170.2.r.b.97.4	yes	40
5.2	odd	4		850.2.s.d.743.2		40
5.3	odd	4		170.2.o.b.63.4	yes	40
5.4	even	2		850.2.v.d.607.2		40
17.10	odd	16		170.2.o.b.27.4	✓	40
85.27	even	16		850.2.v.d.843.2		40
85.44	odd	16		850.2.s.d.707.2		40
85.78	even	16	inner	170.2.r.b.163.4	yes	40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
170.2.o.b.27.4	✓	40	17.10	odd	16
170.2.o.b.63.4	yes	40	5.3	odd	4
170.2.r.b.97.4	yes	40	1.1	even	1	trivial
170.2.r.b.163.4	yes	40	85.78	even	16	inner
850.2.s.d.707.2		40	85.44	odd	16
850.2.s.d.743.2		40	5.2	odd	4
850.2.v.d.607.2		40	5.4	even	2
850.2.v.d.843.2		40	85.27	even	16

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:	\( N \)	\(=\)	\( 170 = 2 \cdot 5 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	170.r (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.382683 - 0.923880i) q^{2} +(0.372511 - 1.87274i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(2.21955 + 0.271292i) q^{5} +(-1.58763 - 1.06082i) q^{6} +(-0.930986 - 0.622065i) q^{7} +(-0.923880 + 0.382683i) q^{8} +(-0.596748 - 0.247181i) q^{9} +O(q^{10})\)	\(q+(0.382683 - 0.923880i) q^{2} +(0.372511 - 1.87274i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(2.21955 + 0.271292i) q^{5} +(-1.58763 - 1.06082i) q^{6} +(-0.930986 - 0.622065i) q^{7} +(-0.923880 + 0.382683i) q^{8} +(-0.596748 - 0.247181i) q^{9} +(1.10003 - 1.94678i) q^{10} +(-1.86658 + 2.79353i) q^{11} +(-1.58763 + 1.06082i) q^{12} -1.47498 q^{13} +(-0.930986 + 0.622065i) q^{14} +(1.33487 - 4.05558i) q^{15} +1.00000i q^{16} +(3.90333 - 1.32816i) q^{17} +(-0.456731 + 0.456731i) q^{18} +(-4.07173 + 1.68657i) q^{19} +(-1.37763 - 1.76129i) q^{20} +(-1.51177 + 1.51177i) q^{21} +(1.86658 + 2.79353i) q^{22} +(-2.92333 + 0.581487i) q^{23} +(0.372511 + 1.87274i) q^{24} +(4.85280 + 1.20429i) q^{25} +(-0.564452 + 1.36271i) q^{26} +(2.49726 - 3.73742i) q^{27} +(0.218440 + 1.09817i) q^{28} +(3.34034 + 0.664436i) q^{29} +(-3.23603 - 2.78526i) q^{30} +(2.94997 + 4.41494i) q^{31} +(0.923880 + 0.382683i) q^{32} +(4.53624 + 4.53624i) q^{33} +(0.266683 - 4.11447i) q^{34} +(-1.89761 - 1.63327i) q^{35} +(0.247181 + 0.596748i) q^{36} +(8.28790 + 1.64857i) q^{37} +4.40721i q^{38} +(-0.549448 + 2.76226i) q^{39} +(-2.15442 + 0.598743i) q^{40} +(-10.6198 + 2.11241i) q^{41} +(0.818163 + 1.97522i) q^{42} +(2.55191 + 6.16087i) q^{43} +(3.29520 - 0.655456i) q^{44} +(-1.25745 - 0.710524i) q^{45} +(-0.581487 + 2.92333i) q^{46} -6.49819i q^{47} +(1.87274 + 0.372511i) q^{48} +(-2.19901 - 5.30889i) q^{49} +(2.96971 - 4.02254i) q^{50} +(-1.03326 - 7.80467i) q^{51} +(1.04297 + 1.04297i) q^{52} +(-5.24831 - 2.17392i) q^{53} +(-2.49726 - 3.73742i) q^{54} +(-4.90083 + 5.69400i) q^{55} +(1.09817 + 0.218440i) q^{56} +(1.64173 + 8.25356i) q^{57} +(1.89215 - 2.83181i) q^{58} +(0.784600 - 1.89419i) q^{59} +(-3.81162 + 1.92383i) q^{60} +(0.266612 + 1.34035i) q^{61} +(5.20778 - 1.03589i) q^{62} +(0.401801 + 0.601338i) q^{63} +(0.707107 - 0.707107i) q^{64} +(-3.27380 - 0.400152i) q^{65} +(5.92688 - 2.45499i) q^{66} +(-7.14013 + 7.14013i) q^{67} +(-3.69922 - 1.82092i) q^{68} +5.69125i q^{69} +(-2.23513 + 1.12813i) q^{70} +(1.30903 - 0.874669i) q^{71} +0.645915 q^{72} +(-10.5401 + 7.04265i) q^{73} +(4.69472 - 7.02615i) q^{74} +(4.06305 - 8.63942i) q^{75} +(4.07173 + 1.68657i) q^{76} +(3.47552 - 1.43961i) q^{77} +(2.34173 + 1.56469i) q^{78} +(-6.00351 - 4.01142i) q^{79} +(-0.271292 + 2.21955i) q^{80} +(-7.43914 - 7.43914i) q^{81} +(-2.11241 + 10.6198i) q^{82} +(4.89429 - 11.8159i) q^{83} +2.13796 q^{84} +(9.02396 - 1.88897i) q^{85} +6.66847 q^{86} +(2.48863 - 6.00808i) q^{87} +(0.655456 - 3.29520i) q^{88} +(-5.20222 - 5.20222i) q^{89} +(-1.13765 + 0.889830i) q^{90} +(1.37319 + 0.917536i) q^{91} +(2.47828 + 1.65593i) q^{92} +(9.36692 - 3.87991i) q^{93} +(-6.00354 - 2.48675i) q^{94} +(-9.49496 + 2.63879i) q^{95} +(1.06082 - 1.58763i) q^{96} +(-8.14284 + 5.44087i) q^{97} -5.74630 q^{98} +(1.80439 - 1.20565i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q+O(q^{10}) \) 40 * q	\( 40 q - 16 q^{10} - 16 q^{18} + 8 q^{25} - 8 q^{26} + 24 q^{27} - 8 q^{28} + 8 q^{29} + 16 q^{30} - 16 q^{31} - 32 q^{33} + 8 q^{34} - 32 q^{35} - 32 q^{39} - 56 q^{41} - 24 q^{42} + 16 q^{43} + 16 q^{44} + 24 q^{45} + 16 q^{49} - 32 q^{51} - 16 q^{52} + 16 q^{53} - 24 q^{54} - 8 q^{55} - 8 q^{56} - 120 q^{57} + 16 q^{58} + 8 q^{60} + 24 q^{61} - 8 q^{62} - 24 q^{63} - 32 q^{65} + 16 q^{67} - 8 q^{70} + 24 q^{71} + 56 q^{72} + 88 q^{73} + 32 q^{74} + 8 q^{75} + 24 q^{77} + 32 q^{78} - 104 q^{79} + 8 q^{80} + 48 q^{81} + 16 q^{82} + 16 q^{83} + 136 q^{85} + 96 q^{86} + 136 q^{87} - 16 q^{89} + 24 q^{90} + 48 q^{91} - 8 q^{92} - 8 q^{93} - 8 q^{94} - 136 q^{95} + 16 q^{97} + 72 q^{98} + 160 q^{99}+O(q^{100}) \) 40 * q - 16 * q^10 - 16 * q^18 + 8 * q^25 - 8 * q^26 + 24 * q^27 - 8 * q^28 + 8 * q^29 + 16 * q^30 - 16 * q^31 - 32 * q^33 + 8 * q^34 - 32 * q^35 - 32 * q^39 - 56 * q^41 - 24 * q^42 + 16 * q^43 + 16 * q^44 + 24 * q^45 + 16 * q^49 - 32 * q^51 - 16 * q^52 + 16 * q^53 - 24 * q^54 - 8 * q^55 - 8 * q^56 - 120 * q^57 + 16 * q^58 + 8 * q^60 + 24 * q^61 - 8 * q^62 - 24 * q^63 - 32 * q^65 + 16 * q^67 - 8 * q^70 + 24 * q^71 + 56 * q^72 + 88 * q^73 + 32 * q^74 + 8 * q^75 + 24 * q^77 + 32 * q^78 - 104 * q^79 + 8 * q^80 + 48 * q^81 + 16 * q^82 + 16 * q^83 + 136 * q^85 + 96 * q^86 + 136 * q^87 - 16 * q^89 + 24 * q^90 + 48 * q^91 - 8 * q^92 - 8 * q^93 - 8 * q^94 - 136 * q^95 + 16 * q^97 + 72 * q^98 + 160 * q^99

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