LMFDB - Embedded newform 240.2.bk.b.11.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [240,2,Mod(11,240)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(240, base_ring=CyclotomicField(4))

chi = DirichletCharacter(H, H._module([2, 1, 2, 0]))

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

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

chi := DirichletCharacter("240.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 240 = 2^{4} \cdot 3 \cdot 5 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	240.bk (of order $4$, degree $2$, 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:	$1.91640964851$
Analytic rank:	$0$
Dimension:	$60$
Relative dimension:	$30$ over $\Q(i)$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label			11.6
Character	$\chi$	$=$	240.11
Dual form			240.2.bk.b.131.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.20816 + 0.735082i) q^{2} +(-1.18902 + 1.25946i) q^{3} +(0.919310 - 1.77620i) q^{4} +(0.707107 - 0.707107i) q^{5} +(0.510724 - 2.39565i) q^{6} -2.92811 q^{7} +(0.194974 + 2.82170i) q^{8} +(-0.172464 - 2.99504i) q^{9} +O(q^{10})$	\(q+(-1.20816 + 0.735082i) q^{2} +(-1.18902 + 1.25946i) q^{3} +(0.919310 - 1.77620i) q^{4} +(0.707107 - 0.707107i) q^{5} +(0.510724 - 2.39565i) q^{6} -2.92811 q^{7} +(0.194974 + 2.82170i) q^{8} +(-0.172464 - 2.99504i) q^{9} +(-0.334518 + 1.37408i) q^{10} +(-3.60489 - 3.60489i) q^{11} +(1.14396 + 3.26976i) q^{12} +(0.580763 - 0.580763i) q^{13} +(3.53762 - 2.15240i) q^{14} +(0.0498068 + 1.73133i) q^{15} +(-2.30974 - 3.26575i) q^{16} -2.30294i q^{17} +(2.40996 + 3.49172i) q^{18} +(2.30052 + 2.30052i) q^{19} +(-0.605909 - 1.90601i) q^{20} +(3.48157 - 3.68782i) q^{21} +(7.00519 + 1.70540i) q^{22} -8.88005i q^{23} +(-3.78564 - 3.10949i) q^{24} -1.00000i q^{25} +(-0.274747 + 1.12856i) q^{26} +(3.97719 + 3.34395i) q^{27} +(-2.69184 + 5.20089i) q^{28} +(2.15145 + 2.15145i) q^{29} +(-1.33285 - 2.05512i) q^{30} -4.69317i q^{31} +(5.19113 + 2.24770i) q^{32} +(8.82650 - 0.253919i) q^{33} +(1.69285 + 2.78232i) q^{34} +(-2.07048 + 2.07048i) q^{35} +(-5.47832 - 2.44704i) q^{36} +(-4.66811 - 4.66811i) q^{37} +(-4.47046 - 1.08833i) q^{38} +(0.0409074 + 1.42199i) q^{39} +(2.13311 + 1.85738i) q^{40} -8.20619 q^{41} +(-1.49545 + 7.01473i) q^{42} +(-8.69116 + 8.69116i) q^{43} +(-9.71701 + 3.08898i) q^{44} +(-2.23976 - 1.99586i) q^{45} +(6.52756 + 10.7285i) q^{46} -1.61552 q^{47} +(6.85939 + 0.974021i) q^{48} +1.57380 q^{49} +(0.735082 + 1.20816i) q^{50} +(2.90045 + 2.73824i) q^{51} +(-0.497647 - 1.56545i) q^{52} +(-1.99398 + 1.99398i) q^{53} +(-7.26316 - 1.11647i) q^{54} -5.09809 q^{55} +(-0.570903 - 8.26223i) q^{56} +(-5.63276 + 0.162042i) q^{57} +(-4.18079 - 1.01781i) q^{58} +(8.59118 + 8.59118i) q^{59} +(3.12098 + 1.50317i) q^{60} +(1.96979 - 1.96979i) q^{61} +(3.44986 + 5.67011i) q^{62} +(0.504994 + 8.76979i) q^{63} +(-7.92397 + 1.10031i) q^{64} -0.821323i q^{65} +(-10.4772 + 6.79497i) q^{66} +(-2.60288 - 2.60288i) q^{67} +(-4.09046 - 2.11711i) q^{68} +(11.1840 + 10.5586i) q^{69} +(0.979504 - 4.02345i) q^{70} -9.66540i q^{71} +(8.41747 - 1.07060i) q^{72} -7.36392i q^{73} +(9.07127 + 2.20839i) q^{74} +(1.25946 + 1.18902i) q^{75} +(6.20105 - 1.97128i) q^{76} +(10.5555 + 10.5555i) q^{77} +(-1.09470 - 1.68792i) q^{78} +6.42315i q^{79} +(-3.94246 - 0.676000i) q^{80} +(-8.94051 + 1.03307i) q^{81} +(9.91440 - 6.03222i) q^{82} +(2.35228 - 2.35228i) q^{83} +(-3.34965 - 9.57421i) q^{84} +(-1.62842 - 1.62842i) q^{85} +(4.11161 - 16.8890i) q^{86} +(-5.26778 + 0.151543i) q^{87} +(9.46906 - 10.8748i) q^{88} -5.77929 q^{89} +(4.17312 + 0.764915i) q^{90} +(-1.70054 + 1.70054i) q^{91} +(-15.7727 - 8.16352i) q^{92} +(5.91084 + 5.58027i) q^{93} +(1.95181 - 1.18754i) q^{94} +3.25342 q^{95} +(-9.00324 + 3.86544i) q^{96} -4.72918 q^{97} +(-1.90141 + 1.15687i) q^{98} +(-10.1751 + 11.4185i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 60 q + 4 q^{3} + 8 q^{4} + 8 q^{6} + 16 q^{7}+O(q^{10}) $ 60 * q + 4 * q^3 + 8 * q^4 + 8 * q^6 + 16 * q^7	$ 60 q + 4 q^{3} + 8 q^{4} + 8 q^{6} + 16 q^{7} + 4 q^{12} + 16 q^{13} - 52 q^{16} - 20 q^{18} + 20 q^{19} - 16 q^{21} - 24 q^{22} - 28 q^{24} - 20 q^{27} - 56 q^{28} - 12 q^{34} + 12 q^{36} + 24 q^{37} - 80 q^{39} - 8 q^{40} + 36 q^{42} - 8 q^{45} + 36 q^{46} + 56 q^{48} + 28 q^{49} - 36 q^{51} - 24 q^{52} + 92 q^{54} - 80 q^{58} + 28 q^{60} + 20 q^{61} - 64 q^{64} + 24 q^{66} - 40 q^{67} + 12 q^{69} - 16 q^{70} - 56 q^{72} + 4 q^{75} - 20 q^{76} - 8 q^{78} - 28 q^{81} - 32 q^{82} + 16 q^{84} - 20 q^{85} - 24 q^{87} + 8 q^{88} + 32 q^{90} - 16 q^{91} - 48 q^{93} + 28 q^{94} + 72 q^{96} - 8 q^{97} + 32 q^{99}+O(q^{100}) $ 60 * q + 4 * q^3 + 8 * q^4 + 8 * q^6 + 16 * q^7 + 4 * q^12 + 16 * q^13 - 52 * q^16 - 20 * q^18 + 20 * q^19 - 16 * q^21 - 24 * q^22 - 28 * q^24 - 20 * q^27 - 56 * q^28 - 12 * q^34 + 12 * q^36 + 24 * q^37 - 80 * q^39 - 8 * q^40 + 36 * q^42 - 8 * q^45 + 36 * q^46 + 56 * q^48 + 28 * q^49 - 36 * q^51 - 24 * q^52 + 92 * q^54 - 80 * q^58 + 28 * q^60 + 20 * q^61 - 64 * q^64 + 24 * q^66 - 40 * q^67 + 12 * q^69 - 16 * q^70 - 56 * q^72 + 4 * q^75 - 20 * q^76 - 8 * q^78 - 28 * q^81 - 32 * q^82 + 16 * q^84 - 20 * q^85 - 24 * q^87 + 8 * q^88 + 32 * q^90 - 16 * q^91 - 48 * q^93 + 28 * q^94 + 72 * q^96 - 8 * q^97 + 32 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/240\mathbb{Z}\right)^\times$.

$n$	$31$	$97$	$161$	$181$
$\chi(n)$	$-1$	$1$	$-1$	$e\left(\frac{1}{4}\right)$

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 $

$2$	−1.20816	+	0.735082i	−0.854299	+	0.519781i
$2$	−1.20816	+	0.735082i	−0.854299	+	0.519781i
$3$	−1.18902	+	1.25946i	−0.686481	+	0.727148i
$3$	−1.18902	+	1.25946i	−0.686481	+	0.727148i
$4$	0.919310	−	1.77620i	0.459655	−	0.888098i
$5$	0.707107	−	0.707107i	0.316228	−	0.316228i
$5$	0.707107	−	0.707107i	0.316228	−	0.316228i
$6$	0.510724	−	2.39565i	0.208502	−	0.978022i
$7$	−2.92811			−1.10672			−0.553360	−	0.832942i	$-0.686655\pi$
$7$	−2.92811			−1.10672			−0.553360	+	0.832942i	$0.686655\pi$
$8$	0.194974	+	2.82170i	0.0689336	+	0.997621i
$9$	−0.172464	−	2.99504i	−0.0574881	−	0.998346i
$10$	−0.334518	+	1.37408i	−0.105784	+	0.434522i
$11$	−3.60489	−	3.60489i	−1.08692	−	1.08692i	−0.995844	−	0.0910719i	$-0.970971\pi$
$11$	−3.60489	−	3.60489i	−1.08692	−	1.08692i	−0.0910719	−	0.995844i	$-0.529029\pi$
$12$	1.14396	+	3.26976i	0.330234	+	0.943899i
$13$	0.580763	−	0.580763i	0.161075	−	0.161075i	−0.621968	−	0.783043i	$-0.713667\pi$
$13$	0.580763	−	0.580763i	0.161075	−	0.161075i	0.783043	+	0.621968i	$0.213667\pi$
$14$	3.53762	−	2.15240i	0.945470	−	0.575252i
$15$	0.0498068	+	1.73133i	0.0128600	+	0.447029i
$16$	−2.30974	−	3.26575i	−0.577435	−	0.816437i
$17$		−	2.30294i		−	0.558544i	−0.960212	−	0.279272i	$-0.909907\pi$
$17$		−	2.30294i		−	0.558544i	0.960212	−	0.279272i	$-0.0900931\pi$
$18$	2.40996	+	3.49172i	0.568034	+	0.823005i
$19$	2.30052	+	2.30052i	0.527774	+	0.527774i	0.919908	−	0.392134i	$-0.128263\pi$
$19$	2.30052	+	2.30052i	0.527774	+	0.527774i	−0.392134	+	0.919908i	$0.628263\pi$
$20$	−0.605909	−	1.90601i	−0.135485	−	0.426197i
$21$	3.48157	−	3.68782i	0.759742	−	0.804749i
$22$	7.00519	+	1.70540i	1.49351	+	0.363593i
$23$		−	8.88005i		−	1.85162i	−0.377991	−	0.925809i	$-0.623385\pi$
$23$		−	8.88005i		−	1.85162i	0.377991	−	0.925809i	$-0.376615\pi$
$24$	−3.78564	−	3.10949i	−0.772740	−	0.634723i
$25$		−	1.00000i		−	0.200000i
$26$	−0.274747	+	1.12856i	−0.0538824	+	0.221330i
$27$	3.97719	+	3.34395i	0.765410	+	0.643543i
$28$	−2.69184	+	5.20089i	−0.508709	+	0.982875i
$29$	2.15145	+	2.15145i	0.399514	+	0.399514i	0.878062	−	0.478547i	$-0.158837\pi$
$29$	2.15145	+	2.15145i	0.399514	+	0.399514i	−0.478547	+	0.878062i	$0.658837\pi$
$30$	−1.33285	−	2.05512i	−0.243343	−	0.375212i
$31$		−	4.69317i		−	0.842918i	−0.906848	−	0.421459i	$-0.861518\pi$
$31$		−	4.69317i		−	0.842918i	0.906848	−	0.421459i	$-0.138482\pi$
$32$	5.19113	+	2.24770i	0.917671	+	0.397342i
$33$	8.82650	−	0.253919i	1.53650	−	0.0442017i
$34$	1.69285	+	2.78232i	0.290321	+	0.477164i
$35$	−2.07048	+	2.07048i	−0.349976	+	0.349976i
$36$	−5.47832	−	2.44704i	−0.913054	−	0.407840i
$37$	−4.66811	−	4.66811i	−0.767433	−	0.767433i	0.210221	−	0.977654i	$-0.432582\pi$
$37$	−4.66811	−	4.66811i	−0.767433	−	0.767433i	−0.977654	+	0.210221i	$0.932582\pi$
$38$	−4.47046	−	1.08833i	−0.725205	−	0.176550i
$39$	0.0409074	+	1.42199i	0.00655043	+	0.227700i
$40$	2.13311	+	1.85738i	0.337274	+	0.293677i
$41$	−8.20619			−1.28159			−0.640796	−	0.767711i	$-0.721395\pi$
$41$	−8.20619			−1.28159			−0.640796	+	0.767711i	$0.721395\pi$
$42$	−1.49545	+	7.01473i	−0.230754	+	1.08240i
$43$	−8.69116	+	8.69116i	−1.32539	+	1.32539i	−0.416046	+	0.909344i	$0.636584\pi$
$43$	−8.69116	+	8.69116i	−1.32539	+	1.32539i	−0.909344	+	0.416046i	$0.863416\pi$
$44$	−9.71701	+	3.08898i	−1.46489	+	0.465681i
$45$	−2.23976	−	1.99586i	−0.333884	−	0.297525i
$46$	6.52756	+	10.7285i	0.962437	+	1.58184i
$47$	−1.61552			−0.235648			−0.117824	−	0.993034i	$-0.537592\pi$
$47$	−1.61552			−0.235648			−0.117824	+	0.993034i	$0.537592\pi$
$48$	6.85939	+	0.974021i	0.990068	+	0.140588i
$49$	1.57380			0.224829
$50$	0.735082	+	1.20816i	0.103956	+	0.170860i
$51$	2.90045	+	2.73824i	0.406144	+	0.383430i
$52$	−0.497647	−	1.56545i	−0.0690113	−	0.217089i
$53$	−1.99398	+	1.99398i	−0.273894	+	0.273894i	−0.830666	−	0.556771i	$-0.812040\pi$
$53$	−1.99398	+	1.99398i	−0.273894	+	0.273894i	0.556771	+	0.830666i	$0.312040\pi$
$54$	−7.26316	−	1.11647i	−0.988391	−	0.151933i
$55$	−5.09809			−0.687426
$56$	−0.570903	−	8.26223i	−0.0762902	−	1.10409i
$57$	−5.63276	+	0.162042i	−0.746077	+	0.0214630i
$58$	−4.18079	−	1.01781i	−0.548965	−	0.133645i
$59$	8.59118	+	8.59118i	1.11848	+	1.11848i	0.991965	+	0.126511i	$0.0403779\pi$
$59$	8.59118	+	8.59118i	1.11848	+	1.11848i	0.126511	+	0.991965i	$0.459622\pi$
$60$	3.12098	+	1.50317i	0.402916	+	0.194058i
$61$	1.96979	−	1.96979i	0.252205	−	0.252205i	−0.569669	−	0.821874i	$-0.692929\pi$
$61$	1.96979	−	1.96979i	0.252205	−	0.252205i	0.821874	+	0.569669i	$0.192929\pi$
$62$	3.44986	+	5.67011i	0.438133	+	0.720104i
$63$	0.504994	+	8.76979i	0.0636232	+	1.10489i
$64$	−7.92397	+	1.10031i	−0.990496	+	0.137539i
$65$		−	0.821323i		−	0.101873i
$66$	−10.4772	+	6.79497i	−1.28965	+	0.836403i
$67$	−2.60288	−	2.60288i	−0.317993	−	0.317993i	0.530003	−	0.847996i	$-0.322191\pi$
$67$	−2.60288	−	2.60288i	−0.317993	−	0.317993i	−0.847996	+	0.530003i	$0.822191\pi$
$68$	−4.09046	−	2.11711i	−0.496042	−	0.256737i
$69$	11.1840	+	10.5586i	1.34640	+	1.27110i
$70$	0.979504	−	4.02345i	0.117073	−	0.480895i
$71$		−	9.66540i		−	1.14707i	−0.819181	−	0.573536i	$-0.805571\pi$
$71$		−	9.66540i		−	1.14707i	0.819181	−	0.573536i	$-0.194429\pi$
$72$	8.41747	−	1.07060i	0.992009	−	0.126171i
$73$		−	7.36392i		−	0.861882i	−0.902380	−	0.430941i	$-0.858182\pi$
$73$		−	7.36392i		−	0.861882i	0.902380	−	0.430941i	$-0.141818\pi$
$74$	9.07127	+	2.20839i	1.05451	+	0.256720i
$75$	1.25946	+	1.18902i	0.145430	+	0.137296i
$76$	6.20105	−	1.97128i	0.711309	−	0.226121i
$77$	10.5555	+	10.5555i	1.20291	+	1.20291i
$78$	−1.09470	−	1.68792i	−0.123950	−	0.191119i
$79$			6.42315i			0.722661i	0.932438	+	0.361330i	$0.117677\pi$
$79$			6.42315i			0.722661i	−0.932438	+	0.361330i	$0.882323\pi$
$80$	−3.94246	−	0.676000i	−0.440781	−	0.0755791i
$81$	−8.94051	+	1.03307i	−0.993390	+	0.114786i
$82$	9.91440	−	6.03222i	1.09486	−	0.666147i
$83$	2.35228	−	2.35228i	0.258196	−	0.258196i	−0.566124	−	0.824320i	$-0.691558\pi$
$83$	2.35228	−	2.35228i	0.258196	−	0.258196i	0.824320	+	0.566124i	$0.191558\pi$
$84$	−3.34965	−	9.57421i	−0.365477	−	1.04463i
$85$	−1.62842	−	1.62842i	−0.176627	−	0.176627i
$86$	4.11161	−	16.8890i	0.443367	−	1.82119i
$87$	−5.26778	+	0.151543i	−0.564765	+	0.0162471i
$88$	9.46906	−	10.8748i	1.00941	−	1.15926i
$89$	−5.77929			−0.612603			−0.306302	−	0.951935i	$-0.599092\pi$
$89$	−5.77929			−0.612603			−0.306302	+	0.951935i	$0.599092\pi$
$90$	4.17312	+	0.764915i	0.439885	+	0.0806291i
$91$	−1.70054	+	1.70054i	−0.178265	+	0.178265i
$92$	−15.7727	−	8.16352i	−1.64442	−	0.851106i
$93$	5.91084	+	5.58027i	0.612926	+	0.578647i
$94$	1.95181	−	1.18754i	0.201314	−	0.122485i
$95$	3.25342			0.333794
$96$	−9.00324	+	3.86544i	−0.918890	+	0.394515i
$97$	−4.72918			−0.480176			−0.240088	−	0.970751i	$-0.577176\pi$
$97$	−4.72918			−0.480176			−0.240088	+	0.970751i	$0.577176\pi$
$98$	−1.90141	+	1.15687i	−0.192071	+	0.116862i
$99$	−10.1751	+	11.4185i	−1.02263	+	1.14760i
$100$	−1.77620	−	0.919310i	−0.177620	−	0.0919310i
$101$	0.450166	−	0.450166i	0.0447932	−	0.0447932i	−0.684355	−	0.729149i	$-0.739916\pi$
$101$	0.450166	−	0.450166i	0.0447932	−	0.0447932i	0.729149	+	0.684355i	$0.239916\pi$
$102$	−5.51704	−	1.17617i	−0.546268	−	0.116458i
$103$	11.8493			1.16755			0.583774	−	0.811917i	$-0.301576\pi$
$103$	11.8493			1.16755			0.583774	+	0.811917i	$0.301576\pi$
$104$	1.75197	+	1.52551i	0.171795	+	0.149588i
$105$	−0.145839	−	5.06953i	−0.0142325	−	0.494735i
$106$	0.943313	−	3.87479i	0.0916227	−	0.376353i
$107$	2.52804	+	2.52804i	0.244395	+	0.244395i	0.818666	−	0.574271i	$-0.194714\pi$
$107$	2.52804	+	2.52804i	0.244395	+	0.244395i	−0.574271	+	0.818666i	$0.694714\pi$
$108$	9.59577	−	3.99013i	0.923354	−	0.383951i
$109$	3.39878	−	3.39878i	0.325545	−	0.325545i	−0.525345	−	0.850889i	$-0.676064\pi$
$109$	3.39878	−	3.39878i	0.325545	−	0.325545i	0.850889	+	0.525345i	$0.176064\pi$
$110$	6.15932	−	3.74751i	0.587268	−	0.357311i
$111$	11.4298	−	0.328809i	1.08486	−	0.0312092i
$112$	6.76316	+	9.56245i	0.639058	+	0.903567i
$113$			12.5797i			1.18339i	0.806160	+	0.591697i	$0.201542\pi$
$113$			12.5797i			1.18339i	−0.806160	+	0.591697i	$0.798458\pi$
$114$	6.68617	−	4.33631i	0.626217	−	0.406133i
$115$	−6.27915	−	6.27915i	−0.585533	−	0.585533i
$116$	5.79924	−	1.84355i	0.538446	−	0.171169i
$117$	−1.83957	−	1.63925i	−0.170068	−	0.151548i
$118$	−16.6948	−	4.06432i	−1.53688	−	0.374151i
$119$			6.74324i			0.618152i
$120$	−4.87559	+	0.478104i	−0.445079	+	0.0436447i
$121$			14.9905i			1.36277i
$122$	−0.931867	+	3.82778i	−0.0843673	+	0.346550i
$123$	9.75732	−	10.3353i	0.879788	−	0.931906i
$124$	−8.33598	−	4.31448i	−0.748593	−	0.387451i
$125$	−0.707107	−	0.707107i	−0.0632456	−	0.0632456i
$126$	−7.05662	−	10.2241i	−0.628654	−	0.910836i
$127$		−	13.3309i		−	1.18293i	−0.806332	−	0.591464i	$-0.798550\pi$
$127$		−	13.3309i		−	1.18293i	0.806332	−	0.591464i	$-0.201450\pi$
$128$	8.76462	−	7.15412i	0.774690	−	0.632341i
$129$	−0.612183	−	21.2801i	−0.0538997	−	1.87361i
$130$	0.603740	+	0.992291i	0.0529515	+	0.0870297i
$131$	−9.42633	+	9.42633i	−0.823583	+	0.823583i	−0.986620	−	0.163037i	$-0.947871\pi$
$131$	−9.42633	+	9.42633i	−0.823583	+	0.823583i	0.163037	+	0.986620i	$0.447871\pi$
$132$	7.66328	−	15.9110i	0.667003	−	1.38488i
$133$	−6.73615	−	6.73615i	−0.584098	−	0.584098i
$134$	5.05804	+	1.23137i	0.436948	+	0.106374i
$135$	5.17682	−	0.447767i	0.445550	−	0.0385376i
$136$	6.49819	−	0.449012i	0.557215	−	0.0385024i
$137$	6.93195			0.592236			0.296118	−	0.955151i	$-0.404308\pi$
$137$	6.93195			0.592236			0.296118	+	0.955151i	$0.404308\pi$
$138$	−21.2735	−	4.53526i	−1.81092	−	0.386067i
$139$	5.79610	−	5.79610i	0.491619	−	0.491619i	−0.417197	−	0.908816i	$-0.636988\pi$
$139$	5.79610	−	5.79610i	0.491619	−	0.491619i	0.908816	+	0.417197i	$0.136988\pi$
$140$	1.77417	+	5.58100i	0.149944	+	0.471680i
$141$	1.92089	−	2.03468i	0.161768	−	0.171351i
$142$	7.10486	+	11.6774i	0.596226	+	0.979942i
$143$	−4.18718			−0.350149
$144$	−9.38269	+	7.48098i	−0.781891	+	0.623415i
$145$	3.04261			0.252675
$146$	5.41308	+	8.89681i	0.447990	+	0.736305i
$147$	−1.87128	+	1.98213i	−0.154341	+	0.163484i
$148$	−12.5829	+	4.00004i	−1.03431	+	0.328801i
$149$	11.3146	−	11.3146i	0.926925	−	0.926925i	−0.0705811	−	0.997506i	$-0.522485\pi$
$149$	11.3146	−	11.3146i	0.926925	−	0.926925i	0.997506	+	0.0705811i	$0.0224854\pi$
$150$	−2.39565	−	0.510724i	−0.195604	−	0.0417005i
$151$	7.92848			0.645210			0.322605	−	0.946534i	$-0.395441\pi$
$151$	7.92848			0.645210			0.322605	+	0.946534i	$0.395441\pi$
$152$	−6.04282	+	6.93990i	−0.490138	+	0.562900i
$153$	−6.89738	+	0.397174i	−0.557620	+	0.0321096i
$154$	−20.5119	−	4.99360i	−1.65290	−	0.402396i
$155$	−3.31857	−	3.31857i	−0.266554	−	0.266554i
$156$	2.56333	+	1.23459i	0.205231	+	0.0988459i
$157$	0.211581	−	0.211581i	0.0168860	−	0.0168860i	−0.698613	−	0.715499i	$-0.746199\pi$
$157$	0.211581	−	0.211581i	0.0168860	−	0.0168860i	0.715499	+	0.698613i	$0.246199\pi$
$158$	−4.72154	−	7.76020i	−0.375625	−	0.617368i
$159$	−0.140451	−	4.88222i	−0.0111385	−	0.387185i
$160$	5.26005	−	2.08132i	0.415843	−	0.164542i
$161$			26.0017i			2.04922i
$162$	10.0422	−	7.82013i	0.788989	−	0.614407i
$163$	−14.8502	−	14.8502i	−1.16315	−	1.16315i	−0.983781	−	0.179372i	$-0.942593\pi$
$163$	−14.8502	−	14.8502i	−1.16315	−	1.16315i	−0.179372	−	0.983781i	$-0.557407\pi$
$164$	−7.54403	+	14.5758i	−0.589090	+	1.13818i
$165$	6.06173	−	6.42082i	0.471905	−	0.499861i
$166$	−1.11282	+	4.57105i	−0.0863712	+	0.354782i
$167$		−	19.1260i		−	1.48001i	−0.672599	−	0.740007i	$-0.734822\pi$
$167$		−	19.1260i		−	1.48001i	0.672599	−	0.740007i	$-0.265178\pi$
$168$	11.0847	+	9.10493i	0.855206	+	0.702460i
$169$			12.3254i			0.948110i
$170$	3.16442	+	0.770374i	0.242700	+	0.0590850i
$171$	6.49338	−	7.28689i	0.496561	−	0.557242i
$172$	7.44733	+	23.4271i	0.567853	+	1.78630i
$173$	10.3501	+	10.3501i	0.786907	+	0.786907i	0.980986	−	0.194079i	$-0.0621717\pi$
$173$	10.3501	+	10.3501i	0.786907	+	0.786907i	−0.194079	+	0.980986i	$0.562172\pi$
$174$	6.25293	−	4.05533i	0.474033	−	0.307434i
$175$			2.92811i			0.221344i
$176$	−3.44631	+	20.0990i	−0.259775	+	1.51502i
$177$	−21.0353	+	0.605140i	−1.58111	+	0.0454851i
$178$	6.98231	−	4.24825i	0.523346	−	0.318420i
$179$	4.18518	−	4.18518i	0.312815	−	0.312815i	−0.533184	−	0.845999i	$-0.679005\pi$
$179$	4.18518	−	4.18518i	0.312815	−	0.312815i	0.845999	+	0.533184i	$0.179005\pi$
$180$	−5.60408	+	2.14344i	−0.417703	+	0.159763i
$181$	5.29304	+	5.29304i	0.393429	+	0.393429i	0.875908	−	0.482479i	$-0.160263\pi$
$181$	5.29304	+	5.29304i	0.393429	+	0.393429i	−0.482479	+	0.875908i	$0.660263\pi$
$182$	0.804490	−	3.30455i	0.0596327	−	0.244950i
$183$	0.138747	+	4.82298i	0.0102564	+	0.356525i
$184$	25.0568	−	1.73138i	1.84721	−	0.127639i
$185$	−6.60170			−0.485367
$186$	−11.2432	−	2.39691i	−0.824392	−	0.175750i
$187$	−8.30184	+	8.30184i	−0.607091	+	0.607091i
$188$	−1.48516	+	2.86948i	−0.108317	+	0.209278i
$189$	−11.6456	−	9.79143i	−0.847094	−	0.712222i
$190$	−3.93066	+	2.39153i	−0.285160	+	0.173500i
$191$	6.10269			0.441575			0.220788	−	0.975322i	$-0.429137\pi$
$191$	6.10269			0.441575			0.220788	+	0.975322i	$0.429137\pi$
$192$	8.03596	−	11.2882i	0.579945	−	0.814655i
$193$	12.8045			0.921686			0.460843	−	0.887482i	$-0.347547\pi$
$193$	12.8045			0.921686			0.460843	+	0.887482i	$0.347547\pi$
$194$	5.71362	−	3.47634i	0.410214	−	0.249586i
$195$	1.03442	+	0.976569i	0.0740764	+	0.0699336i
$196$	1.44681	−	2.79538i	0.103344	−	0.199670i
$197$	−11.7172	+	11.7172i	−0.834819	+	0.834819i	−0.988172	−	0.153352i	$-0.950993\pi$
$197$	−11.7172	+	11.7172i	−0.834819	+	0.834819i	0.153352	+	0.988172i	$0.450993\pi$
$198$	3.89960	−	21.2749i	0.277133	−	1.51194i
$199$	15.8534			1.12381			0.561907	−	0.827200i	$-0.310068\pi$
$199$	15.8534			1.12381			0.561907	+	0.827200i	$0.310068\pi$
$200$	2.82170	−	0.194974i	0.199524	−	0.0137867i
$201$	6.37310	−	0.183340i	0.449524	−	0.0129318i
$202$	−0.212965	+	0.874782i	−0.0149841	+	0.0615495i
$203$	−6.29967	−	6.29967i	−0.442150	−	0.442150i
$204$	7.53005	−	2.63448i	0.527209	−	0.184450i
$205$	−5.80265	+	5.80265i	−0.405275	+	0.405275i
$206$	−14.3159	+	8.71021i	−0.997435	+	0.606869i
$207$	−26.5961	+	1.53149i	−1.84856	+	0.106446i
$208$	−3.23804	−	0.555214i	−0.224517	−	0.0384972i
$209$		−	16.5862i		−	1.14729i
$210$	3.90272	+	6.01761i	0.269313	+	0.415254i
$211$	13.2805	+	13.2805i	0.914267	+	0.914267i	0.996605	−	0.0823375i	$-0.0262385\pi$
$211$	13.2805	+	13.2805i	0.914267	+	0.914267i	−0.0823375	+	0.996605i	$0.526239\pi$
$212$	1.70861	+	5.37479i	0.117348	+	0.369142i
$213$	12.1732	+	11.4923i	0.834091	+	0.787443i
$214$	−4.91260	−	1.19597i	−0.335819	−	0.0817546i
$215$			12.2912i			0.838250i
$216$	−8.66017	+	11.8744i	−0.589250	+	0.807951i
$217$			13.7421i			0.932874i
$218$	−1.60790	+	6.60467i	−0.108901	+	0.447324i
$219$	9.27454	+	8.75585i	0.626716	+	0.591665i
$220$	−4.68672	+	9.05520i	−0.315979	+	0.610502i
$221$	−1.33746	−	1.33746i	−0.0899673	−	0.0899673i
$222$	−13.5673	+	8.79906i	−0.910577	+	0.590554i
$223$			14.1222i			0.945693i	0.881145	+	0.472846i	$0.156773\pi$
$223$			14.1222i			0.945693i	−0.881145	+	0.472846i	$0.843227\pi$
$224$	−15.2002	−	6.58152i	−1.01560	−	0.439746i
$225$	−2.99504	+	0.172464i	−0.199669	+	0.0114976i
$226$	−9.24707	−	15.1983i	−0.615106	−	1.01097i
$227$	10.5081	−	10.5081i	0.697449	−	0.697449i	−0.266411	−	0.963860i	$-0.585838\pi$
$227$	10.5081	−	10.5081i	0.697449	−	0.697449i	0.963860	+	0.266411i	$0.0858378\pi$
$228$	−4.89043	+	10.1538i	−0.323877	+	0.672455i
$229$	−19.7709	−	19.7709i	−1.30650	−	1.30650i	−0.923926	−	0.382571i	$-0.875039\pi$
$229$	−19.7709	−	19.7709i	−1.30650	−	1.30650i	−0.382571	−	0.923926i	$-0.624961\pi$
$230$	12.2019	+	2.97054i	0.804570	+	0.195872i
$231$	−25.8449	+	0.743502i	−1.70047	+	0.0489189i
$232$	−5.65127	+	6.49022i	−0.371024	+	0.426104i
$233$	−0.0192011			−0.00125791			−0.000628954	−	1.00000i	$-0.500200\pi$
$233$	−0.0192011			−0.00125791			−0.000628954		1.00000i	$0.500200\pi$
$234$	3.42748	+	0.628242i	0.224061	+	0.0410695i
$235$	−1.14235	+	1.14235i	−0.0745184	+	0.0745184i
$236$	23.1576	−	7.36166i	1.50743	−	0.479203i
$237$	−8.08968	−	7.63725i	−0.525481	−	0.496093i
$238$	−4.95683	−	8.14692i	−0.321304	−	0.528087i
$239$	−10.9974			−0.711362			−0.355681	−	0.934607i	$-0.615751\pi$
$239$	−10.9974			−0.711362			−0.355681	+	0.934607i	$0.615751\pi$
$240$	5.53906	−	4.16159i	0.357545	−	0.268629i
$241$	−12.3680			−0.796692			−0.398346	−	0.917235i	$-0.630416\pi$
$241$	−12.3680			−0.796692			−0.398346	+	0.917235i	$0.630416\pi$
$242$	−11.0193	−	18.1110i	−0.708344	−	1.16422i
$243$	9.32933	−	12.4885i	0.598477	−	0.801140i
$244$	−1.68788	−	5.30957i	−0.108056	−	0.339910i
$245$	1.11285	−	1.11285i	0.0710971	−	0.0710971i
$246$	−4.19110	+	19.6592i	−0.267215	+	1.25342i
$247$	2.67211			0.170022
$248$	13.2427	−	0.915044i	0.840913	−	0.0581053i
$249$	0.165688	+	5.75949i	0.0105001	+	0.364993i
$250$	1.37408	+	0.334518i	0.0869045	+	0.0211568i
$251$	−7.84059	−	7.84059i	−0.494894	−	0.494894i	0.414950	−	0.909844i	$-0.363799\pi$
$251$	−7.84059	−	7.84059i	−0.494894	−	0.494894i	−0.909844	+	0.414950i	$0.863799\pi$
$252$	16.0411	+	7.16519i	1.01049	+	0.451364i
$253$	−32.0116	+	32.0116i	−2.01255	+	2.01255i
$254$	9.79931	+	16.1059i	0.614864	+	1.01057i
$255$	3.98715	−	0.114702i	0.249685	−	0.00718290i
$256$	−5.33021	+	15.0860i	−0.333138	+	0.942878i
$257$		−	21.8333i		−	1.36193i	−0.732318	−	0.680963i	$-0.761561\pi$
$257$		−	21.8333i		−	1.36193i	0.732318	−	0.680963i	$-0.238439\pi$
$258$	16.3822	+	25.2598i	1.01991	+	1.57261i
$259$	13.6687	+	13.6687i	0.849333	+	0.849333i
$260$	−1.45883	−	0.755050i	−0.0904728	−	0.0468262i
$261$	6.07263	−	6.81472i	0.375886	−	0.421821i
$262$	4.45941	−	18.3177i	0.275503	−	1.13167i
$263$		−	19.6132i		−	1.20940i	−0.796453	−	0.604700i	$-0.793293\pi$
$263$		−	19.6132i		−	1.20940i	0.796453	−	0.604700i	$-0.206707\pi$
$264$	2.43742	+	24.8562i	0.150013	+	1.52979i
$265$			2.81992i			0.173226i
$266$	13.0900	+	3.18674i	0.802598	+	0.195392i
$267$	6.87169	−	7.27876i	0.420540	−	0.445453i
$268$	−7.01609	+	2.23037i	−0.428576	+	0.136242i
$269$	−10.4796	−	10.4796i	−0.638950	−	0.638950i	0.311347	−	0.950296i	$-0.399220\pi$
$269$	−10.4796	−	10.4796i	−0.638950	−	0.638950i	−0.950296	+	0.311347i	$0.899220\pi$
$270$	−5.92530	+	4.34636i	−0.360602	+	0.264511i
$271$		−	22.9238i		−	1.39252i	−0.717790	−	0.696259i	$-0.754846\pi$
$271$		−	22.9238i		−	1.39252i	0.717790	−	0.696259i	$-0.245154\pi$
$272$	−7.52081	+	5.31918i	−0.456016	+	0.322523i
$273$	−0.119781	−	4.16372i	−0.00724949	−	0.252000i
$274$	−8.37491	+	5.09555i	−0.505947	+	0.307833i
$275$	−3.60489	+	3.60489i	−0.217383	+	0.217383i
$276$	29.0357	−	10.1585i	1.74774	−	0.611468i
$277$	16.7979	+	16.7979i	1.00929	+	1.00929i	0.999956	+	0.00933252i	$0.00297068\pi$
$277$	16.7979	+	16.7979i	1.00929	+	1.00929i	0.00933252	+	0.999956i	$0.497029\pi$
$278$	−2.74202	+	11.2632i	−0.164455	+	0.675524i
$279$	−14.0562	+	0.809404i	−0.841524	+	0.0484577i
$280$	−6.24597	−	5.43859i	−0.373268	−	0.325018i
$281$	13.8673			0.827252			0.413626	−	0.910447i	$-0.364262\pi$
$281$	13.8673			0.827252			0.413626	+	0.910447i	$0.364262\pi$
$282$	−0.825086	+	3.87023i	−0.0491332	+	0.230469i
$283$	18.1096	−	18.1096i	1.07650	−	1.07650i	0.0796833	−	0.996820i	$-0.474609\pi$
$283$	18.1096	−	18.1096i	1.07650	−	1.07650i	0.996820	−	0.0796833i	$-0.0253909\pi$
$284$	−17.1676	−	8.88549i	−1.01871	−	0.527257i
$285$	−3.86838	+	4.09754i	−0.229143	+	0.242718i
$286$	5.05879	−	3.07792i	0.299132	−	0.182001i
$287$	24.0286			1.41836
$288$	5.83668	−	15.9353i	0.343929	−	0.938995i
$289$	11.6965			0.688029
$290$	−3.67596	+	2.23657i	−0.215860	+	0.131336i
$291$	5.62309	−	5.95620i	0.329632	−	0.349159i
$292$	−13.0798	−	6.76973i	−0.765435	−	0.396168i
$293$	−9.43283	+	9.43283i	−0.551072	+	0.551072i	−0.926750	−	0.375678i	$-0.877410\pi$
$293$	−9.43283	+	9.43283i	−0.551072	+	0.551072i	0.375678	+	0.926750i	$0.377410\pi$
$294$	0.803778	−	3.77028i	0.0468773	−	0.219887i
$295$	12.1498			0.707386
$296$	12.2618	−	14.0822i	0.712705	−	0.818509i
$297$	−2.28275	−	26.3919i	−0.132459	−	1.53141i
$298$	−5.35269	+	21.9869i	−0.310073	+	1.27367i
$299$	−5.15721	−	5.15721i	−0.298249	−	0.298249i
$300$	3.26976	−	1.14396i	0.188780	−	0.0660468i
$301$	25.4486	−	25.4486i	1.46683	−	1.46683i
$302$	−9.57888	+	5.82808i	−0.551203	+	0.335368i
$303$	0.0317085	+	1.10222i	0.00182161	+	0.0633209i
$304$	2.19931	−	12.8265i	0.126139	−	0.735650i
$305$		−	2.78570i		−	0.159509i
$306$	8.04120	−	5.54999i	0.459685	−	0.317272i
$307$	2.32656	+	2.32656i	0.132784	+	0.132784i	0.770375	−	0.637591i	$-0.220069\pi$
$307$	2.32656	+	2.32656i	0.132784	+	0.132784i	−0.637591	+	0.770375i	$0.720069\pi$
$308$	28.4524	−	9.04486i	1.62123	−	0.515379i
$309$	−14.0891	+	14.9237i	−0.801499	+	0.848979i
$310$	6.44879	+	1.56995i	0.366267	+	0.0891672i
$311$			9.35833i			0.530662i	0.964157	+	0.265331i	$0.0854813\pi$
$311$			9.35833i			0.530662i	−0.964157	+	0.265331i	$0.914519\pi$
$312$	−4.00444	+	0.392678i	−0.226707	+	0.0222310i
$313$		−	2.13975i		−	0.120946i	−0.998170	−	0.0604730i	$-0.980739\pi$
$313$		−	2.13975i		−	0.120946i	0.998170	−	0.0604730i	$-0.0192609\pi$
$314$	−0.100095	+	0.411153i	−0.00564867	+	0.0232027i
$315$	6.55826	+	5.84409i	0.369516	+	0.329277i
$316$	11.4088	+	5.90486i	0.641793	+	0.332174i
$317$	−9.28727	−	9.28727i	−0.521625	−	0.521625i	0.396437	−	0.918062i	$-0.370247\pi$
$317$	−9.28727	−	9.28727i	−0.521625	−	0.521625i	−0.918062	+	0.396437i	$0.870247\pi$
$318$	3.75852	+	5.79527i	0.210767	+	0.324982i
$319$		−	15.5115i		−	0.868477i
$320$	−4.82505	+	6.38113i	−0.269729	+	0.356716i
$321$	−6.18985	+	0.178069i	−0.345484	+	0.00993883i
$322$	−19.1134	−	31.4143i	−1.06515	−	1.75065i
$323$	5.29794	−	5.29794i	0.294785	−	0.294785i
$324$	−6.38416	+	16.8298i	−0.354675	+	0.934989i
$325$	−0.580763	−	0.580763i	−0.0322149	−	0.0322149i
$326$	28.8575	+	7.02531i	1.59827	+	0.389096i
$327$	0.239402	+	8.32184i	0.0132389	+	0.460199i
$328$	−1.59999	−	23.1554i	−0.0883447	−	1.27854i
$329$	4.73042			0.260796
$330$	−2.60372	+	12.2133i	−0.143330	+	0.672318i
$331$	−8.46096	+	8.46096i	−0.465056	+	0.465056i	−0.900309	−	0.435252i	$-0.856659\pi$
$331$	−8.46096	+	8.46096i	−0.465056	+	0.465056i	0.435252	+	0.900309i	$0.356659\pi$
$332$	−2.01563	−	6.34057i	−0.110622	−	0.347984i
$333$	−13.1761	+	14.7863i	−0.722045	+	0.810282i
$334$	14.0592	+	23.1073i	0.769284	+	1.26438i
$335$	−3.68103			−0.201116
$336$	−20.0850	−	2.85204i	−1.09573	−	0.155591i
$337$	20.3502			1.10855			0.554273	−	0.832335i	$-0.312996\pi$
$337$	20.3502			1.10855			0.554273	+	0.832335i	$0.312996\pi$
$338$	−9.06020	−	14.8911i	−0.492810	−	0.809970i
$339$	−15.8435	−	14.9575i	−0.860503	−	0.812378i
$340$	−4.38942	+	1.39537i	−0.238050	+	0.0756746i
$341$	−16.9184	+	16.9184i	−0.916181	+	0.916181i
$342$	−2.48859	+	13.5769i	−0.134568	+	0.734155i
$343$	15.8885			0.857897
$344$	−26.2184	−	22.8293i	−1.41360	−	1.23087i
$345$	15.3743	−	0.442287i	0.827727	−	0.0238119i
$346$	−20.1129	−	4.89645i	−1.08127	−	0.263235i
$347$	−9.18074	−	9.18074i	−0.492848	−	0.492848i	0.416354	−	0.909202i	$-0.363308\pi$
$347$	−9.18074	−	9.18074i	−0.492848	−	0.492848i	−0.909202	+	0.416354i	$0.863308\pi$
$348$	−4.57355	+	9.49591i	−0.245168	+	0.509034i
$349$	−2.73539	+	2.73539i	−0.146422	+	0.146422i	−0.776518	−	0.630096i	$-0.783016\pi$
$349$	−2.73539	+	2.73539i	−0.146422	+	0.146422i	0.630096	+	0.776518i	$0.283016\pi$
$350$	−2.15240	−	3.53762i	−0.115050	−	0.189094i
$351$	4.25184	−	0.367761i	0.226947	−	0.0196296i
$352$	−10.6107	−	26.8162i	−0.565554	−	1.42931i
$353$			16.9588i			0.902627i	0.892366	+	0.451313i	$0.149044\pi$
$353$			16.9588i			0.902627i	−0.892366	+	0.451313i	$0.850956\pi$
$354$	24.9692	−	16.1938i	1.32710	−	0.860689i
$355$	−6.83447	−	6.83447i	−0.362736	−	0.362736i
$356$	−5.31295	+	10.2651i	−0.281586	+	0.544051i
$357$	−8.49282	−	8.01784i	−0.449488	−	0.424349i
$358$	−1.97993	+	8.13283i	−0.104642	+	0.429833i
$359$			30.7688i			1.62392i	0.583716	+	0.811958i	$0.301598\pi$
$359$			30.7688i			1.62392i	−0.583716	+	0.811958i	$0.698402\pi$
$360$	5.19503	−	6.70908i	0.273802	−	0.353599i
$361$		−	8.41526i		−	0.442908i
$362$	−10.2857	−	2.50403i	−0.540603	−	0.131609i
$363$	−18.8799	−	17.8240i	−0.990938	−	0.935518i
$364$	1.45716	+	4.58380i	0.0763762	+	0.240257i
$365$	−5.20708	−	5.20708i	−0.272551	−	0.272551i
$366$	−3.71291	−	5.72495i	−0.194077	−	0.299248i
$367$		−	20.5732i		−	1.07391i	−0.843610	−	0.536957i	$-0.819574\pi$
$367$		−	20.5732i		−	1.07391i	0.843610	−	0.536957i	$-0.180426\pi$
$368$	−29.0000	+	20.5106i	−1.51173	+	1.06919i
$369$	1.41527	+	24.5779i	0.0736763	+	1.27947i
$370$	7.97593	−	4.85279i	0.414649	−	0.252285i
$371$	5.83859	−	5.83859i	0.303124	−	0.303124i
$372$	15.3455	−	5.36882i	0.795629	−	0.278360i
$373$	−8.60931	−	8.60931i	−0.445773	−	0.445773i	0.448173	−	0.893947i	$-0.352075\pi$
$373$	−8.60931	−	8.60931i	−0.445773	−	0.445773i	−0.893947	+	0.448173i	$0.852075\pi$
$374$	3.92743	−	16.1325i	0.203083	−	0.834191i
$375$	1.73133	−	0.0498068i	0.0894057	−	0.00257201i
$376$	−0.314984	−	4.55852i	−0.0162441	−	0.235087i
$377$	2.49897			0.128703
$378$	21.2673	+	3.26915i	1.09387	+	0.168147i
$379$	−27.2267	+	27.2267i	−1.39854	+	1.39854i	−0.594287	+	0.804253i	$0.702566\pi$
$379$	−27.2267	+	27.2267i	−1.39854	+	1.39854i	−0.804253	+	0.594287i	$0.797434\pi$
$380$	2.99090	−	5.77871i	0.153430	−	0.296442i
$381$	16.7897	+	15.8507i	0.860163	+	0.812057i
$382$	−7.37304	+	4.48598i	−0.377237	+	0.229522i
$383$	0.534056			0.0272890			0.0136445	−	0.999907i	$-0.495657\pi$
$383$	0.534056			0.0272890			0.0136445	+	0.999907i	$0.495657\pi$
$384$	−1.41099	+	19.5451i	−0.0720044	+	0.997404i
$385$	14.9277			0.760788
$386$	−15.4699	+	9.41233i	−0.787396	+	0.479075i
$387$	27.5293	+	24.5314i	1.39939	+	1.24700i
$388$	−4.34759	+	8.39995i	−0.220715	+	0.426443i
$389$	12.5450	−	12.5450i	0.636055	−	0.636055i	−0.313525	−	0.949580i	$-0.601510\pi$
$389$	12.5450	−	12.5450i	0.636055	−	0.636055i	0.949580	+	0.313525i	$0.101510\pi$
$390$	−1.96761	−	0.419470i	−0.0996336	−	0.0212407i
$391$	−20.4502			−1.03421
$392$	0.306850	+	4.44079i	0.0154982	+	0.224294i
$393$	−0.663966	−	23.0802i	−0.0334927	−	1.16424i
$394$	5.54319	−	22.7695i	0.279262	−	1.14711i
$395$	4.54185	+	4.54185i	0.228525	+	0.228525i
$396$	10.9275	+	28.5701i	0.549125	+	1.43570i
$397$	24.9358	−	24.9358i	1.25149	−	1.25149i	0.296438	−	0.955052i	$-0.404201\pi$
$397$	24.9358	−	24.9358i	1.25149	−	1.25149i	0.955052	−	0.296438i	$-0.0957987\pi$
$398$	−19.1534	+	11.6535i	−0.960074	+	0.584138i
$399$	16.4933	−	0.474477i	0.825698	−	0.0237536i
$400$	−3.26575	+	2.30974i	−0.163287	+	0.115487i
$401$		−	5.14655i		−	0.257006i	−0.991709	−	0.128503i	$-0.958983\pi$
$401$		−	5.14655i		−	0.257006i	0.991709	−	0.128503i	$-0.0410173\pi$
$402$	−7.56497	+	4.90625i	−0.377306	+	0.244702i
$403$	−2.72562	−	2.72562i	−0.135773	−	0.135773i
$404$	−0.385741	−	1.21342i	−0.0191913	−	0.0603701i
$405$	−5.59140	+	7.05239i	−0.277839	+	0.350436i
$406$	12.2418	+	2.98025i	0.607550	+	0.147907i
$407$			33.6561i			1.66827i
$408$	−7.16097	+	8.71808i	−0.354521	+	0.431609i
$409$		−	7.74333i		−	0.382883i	−0.981504	−	0.191441i	$-0.938684\pi$
$409$		−	7.74333i		−	0.382883i	0.981504	−	0.191441i	$-0.0613162\pi$
$410$	2.74512	−	11.2760i	0.135572	−	0.556880i
$411$	−8.24222	+	8.73049i	−0.406559	+	0.430643i
$412$	10.8932	−	21.0467i	0.536669	−	1.03690i
$413$	−25.1559	−	25.1559i	−1.23784	−	1.23784i
$414$	31.0066	−	21.4006i	1.52389	−	1.05178i
$415$		−	3.32662i		−	0.163297i
$416$	4.32020	−	1.70943i	0.211815	−	0.0838118i
$417$	0.408262	+	14.1916i	0.0199927	+	0.694966i
$418$	12.1922	+	20.0388i	0.596342	+	0.980132i
$419$	4.41259	−	4.41259i	0.215569	−	0.215569i	−0.591059	−	0.806628i	$-0.701290\pi$
$419$	4.41259	−	4.41259i	0.215569	−	0.215569i	0.806628	+	0.591059i	$0.201290\pi$
$420$	−9.13855	−	4.40143i	−0.445915	−	0.214768i
$421$	−12.0425	−	12.0425i	−0.586914	−	0.586914i	0.349880	−	0.936794i	$-0.386222\pi$
$421$	−12.0425	−	12.0425i	−0.586914	−	0.586914i	−0.936794	+	0.349880i	$0.886222\pi$
$422$	−25.8072	−	6.28274i	−1.25628	−	0.305839i
$423$	0.278620	+	4.83855i	0.0135470	+	0.235258i
$424$	−6.01519	−	5.23764i	−0.292123	−	0.254362i
$425$	−2.30294			−0.111709
$426$	−23.1549	−	4.93635i	−1.12186	−	0.239167i
$427$	−5.76774	+	5.76774i	−0.279121	+	0.279121i
$428$	6.81435	−	2.16624i	0.329384	−	0.104709i
$429$	4.97864	−	5.27357i	0.240371	−	0.254610i
$430$	−9.03500	−	14.8497i	−0.435707	−	0.716116i
$431$	−28.6272			−1.37892			−0.689462	−	0.724322i	$-0.742153\pi$
$431$	−28.6272			−1.37892			−0.689462	+	0.724322i	$0.742153\pi$
$432$	1.73423	−	20.7121i	0.0834381	−	0.996513i
$433$	7.33786			0.352635			0.176317	−	0.984333i	$-0.443581\pi$
$433$	7.33786			0.352635			0.176317	+	0.984333i	$0.443581\pi$
$434$	−10.1016	−	16.6027i	−0.484890	−	0.796954i
$435$	−3.61772	+	3.83204i	−0.173457	+	0.183732i
$436$	−2.91237	−	9.16144i	−0.139477	−	0.438753i
$437$	20.4287	−	20.4287i	0.977237	−	0.977237i
$438$	−17.6414	−	3.76093i	−0.842939	−	0.179704i
$439$	−4.57202			−0.218211			−0.109105	−	0.994030i	$-0.534799\pi$
$439$	−4.57202			−0.218211			−0.109105	+	0.994030i	$0.534799\pi$
$440$	−0.993993	−	14.3853i	−0.0473868	−	0.685791i
$441$	−0.271424	−	4.71359i	−0.0129250	−	0.224457i
$442$	2.59901	+	0.632726i	0.123622	+	0.0300957i
$443$	10.2118	+	10.2118i	0.485177	+	0.485177i	0.906780	−	0.421604i	$-0.138533\pi$
$443$	10.2118	+	10.2118i	0.485177	+	0.485177i	−0.421604	+	0.906780i	$0.638533\pi$
$444$	9.92346	−	20.6038i	0.470947	−	0.977811i
$445$	−4.08657	+	4.08657i	−0.193722	+	0.193722i
$446$	−10.3810	−	17.0619i	−0.491553	−	0.807905i
$447$	0.796968	+	27.7034i	0.0376953	+	1.31033i
$448$	23.2022	−	3.22183i	1.09620	−	0.152217i
$449$		−	2.33530i		−	0.110210i	−0.998481	−	0.0551048i	$-0.982451\pi$
$449$		−	2.33530i		−	0.110210i	0.998481	−	0.0551048i	$-0.0175493\pi$
$450$	3.49172	−	2.40996i	0.164601	−	0.113607i
$451$	29.5824	+	29.5824i	1.39298	+	1.39298i
$452$	22.3439	+	11.5646i	1.05097	+	0.543953i
$453$	−9.42711	+	9.98558i	−0.442924	+	0.469163i
$454$	−4.97118	+	20.4198i	−0.233309	+	0.958351i
$455$			2.40492i			0.112744i
$456$	−1.55547	−	15.8624i	−0.0728417	−	0.742823i
$457$			30.2893i			1.41687i	0.705774	+	0.708437i	$0.250599\pi$
$457$			30.2893i			1.41687i	−0.705774	+	0.708437i	$0.749401\pi$
$458$	38.4196	+	9.35321i	1.79523	+	0.437047i
$459$	7.70090	−	9.15920i	0.359447	−	0.427515i
$460$	−16.9255	+	5.38051i	−0.789154	+	0.250867i
$461$	−12.7998	−	12.7998i	−0.596146	−	0.596146i	0.343139	−	0.939285i	$-0.388510\pi$
$461$	−12.7998	−	12.7998i	−0.596146	−	0.596146i	−0.939285	+	0.343139i	$0.888510\pi$
$462$	30.6783	−	19.8964i	1.42728	−	0.925664i
$463$			29.0132i			1.34836i	0.738568	+	0.674179i	$0.235502\pi$
$463$			29.0132i			1.34836i	−0.738568	+	0.674179i	$0.764498\pi$
$464$	2.05680	−	11.9954i	0.0954847	−	0.556872i
$465$	8.12544	−	0.233751i	0.376808	−	0.0108400i
$466$	0.0231981	−	0.0141144i	0.00107463	−	0.000653837i
$467$	−6.15298	+	6.15298i	−0.284726	+	0.284726i	−0.834990	−	0.550264i	$-0.814527\pi$
$467$	−6.15298	+	6.15298i	−0.284726	+	0.284726i	0.550264	+	0.834990i	$0.314527\pi$
$468$	−4.60276	+	1.76046i	−0.212762	+	0.0813772i
$469$	7.62152	+	7.62152i	0.351929	+	0.351929i
$470$	0.540421	−	2.21986i	0.0249278	−	0.102394i
$471$	0.0149032	+	0.518051i	0.000686704	+	0.0238705i
$472$	−22.5667	+	25.9168i	−1.03872	+	1.19292i
$473$	62.6614			2.88117
$474$	15.3876	+	3.28046i	0.706778	+	0.150676i
$475$	2.30052	−	2.30052i	0.105555	−	0.105555i
$476$	11.9773	+	6.19913i	0.548979	+	0.284136i
$477$	6.31594	+	5.62816i	0.289187	+	0.257696i
$478$	13.2866	−	8.08398i	0.607716	−	0.369753i
$479$	3.76017			0.171807			0.0859033	−	0.996303i	$-0.472622\pi$
$479$	3.76017			0.171807			0.0859033	+	0.996303i	$0.472622\pi$
$480$	−3.63297	+	9.09953i	−0.165822	+	0.415335i
$481$	−5.42213			−0.247228
$482$	14.9425	−	9.09148i	0.680613	−	0.414105i
$483$	−32.7481	−	30.9166i	−1.49009	−	1.40675i
$484$	26.6261	+	13.7809i	1.21028	+	0.626406i
$485$	−3.34404	+	3.34404i	−0.151845	+	0.151845i
$486$	−2.09125	+	21.9460i	−0.0948609	+	0.995491i
$487$	−25.7623			−1.16740			−0.583700	−	0.811969i	$-0.698396\pi$
$487$	−25.7623			−1.16740			−0.583700	+	0.811969i	$0.698396\pi$
$488$	5.94220	+	5.17409i	0.268991	+	0.234220i
$489$	36.3602	−	1.04601i	1.64427	−	0.0473020i
$490$	−0.526465	+	2.16253i	−0.0237833	+	0.0976931i
$491$	4.92891	+	4.92891i	0.222439	+	0.222439i	0.809525	−	0.587086i	$-0.199725\pi$
$491$	4.92891	+	4.92891i	0.222439	+	0.222439i	−0.587086	+	0.809525i	$0.699725\pi$
$492$	−9.38759	−	26.8323i	−0.423225	−	1.20969i
$493$	4.95465	−	4.95465i	0.223146	−	0.223146i
$494$	−3.22834	+	1.96422i	−0.145250	+	0.0883744i
$495$	0.879238	+	15.2690i	0.0395188	+	0.686289i
$496$	−15.3267	+	10.8400i	−0.688189	+	0.486730i
$497$			28.3013i			1.26949i
$498$	−4.43388	−	6.83661i	−0.198687	−	0.306356i
$499$	−10.7462	−	10.7462i	−0.481065	−	0.481065i	0.424406	−	0.905472i	$-0.360483\pi$
$499$	−10.7462	−	10.7462i	−0.481065	−	0.481065i	−0.905472	+	0.424406i	$0.860483\pi$
$500$	−1.90601	+	0.605909i	−0.0852394	+	0.0270971i
$501$	24.0884	+	22.7412i	1.07619	+	1.01600i
$502$	15.2362	+	3.70923i	0.680024	+	0.165551i
$503$			6.23787i			0.278133i	0.990283	+	0.139066i	$0.0444101\pi$
$503$			6.23787i			0.278133i	−0.990283	+	0.139066i	$0.955590\pi$
$504$	−24.6472	+	3.13482i	−1.09788	+	0.139636i
$505$		−	0.636631i		−	0.0283297i
$506$	15.1441	−	62.2064i	0.673236	−	2.76541i
$507$	−15.5233	−	14.6552i	−0.689416	−	0.650859i
$508$	−23.6783	−	12.2552i	−1.05056	−	0.543738i
$509$	17.5162	+	17.5162i	0.776390	+	0.776390i	0.979215	−	0.202825i	$-0.0650121\pi$
$509$	17.5162	+	17.5162i	0.776390	+	0.776390i	−0.202825	+	0.979215i	$0.565012\pi$
$510$	−4.73281	+	3.06946i	−0.209572	+	0.135918i
$511$			21.5623i			0.953862i
$512$	−4.64972	−	22.1445i	−0.205491	−	0.978659i
$513$	1.45677	+	16.8424i	0.0643181	+	0.743609i
$514$	16.0493	+	26.3782i	0.707904	+	1.16349i
$515$	8.37873	−	8.37873i	0.369211	−	0.369211i
$516$	−38.3604	−	18.4757i	−1.68872	−	0.813345i
$517$	5.82378	+	5.82378i	0.256130	+	0.256130i
$518$	−26.5616	−	6.46640i	−1.16705	−	0.284117i
$519$	−25.3421	+	0.729038i	−1.11239	+	0.0320012i
$520$	2.31753	−	0.160136i	0.101630	−	0.00702244i
$521$	−18.7992			−0.823609			−0.411805	−	0.911272i	$-0.635101\pi$
$521$	−18.7992			−0.823609			−0.411805	+	0.911272i	$0.635101\pi$
$522$	−2.32734	+	12.6972i	−0.101865	+	0.555740i
$523$	−9.03039	+	9.03039i	−0.394871	+	0.394871i	−0.876420	−	0.481548i	$-0.840075\pi$
$523$	−9.03039	+	9.03039i	−0.394871	+	0.394871i	0.481548	+	0.876420i	$0.340075\pi$
$524$	8.07729	+	25.4087i	0.352858	+	1.10999i
$525$	−3.68782	−	3.48157i	−0.160950	−	0.151948i
$526$	14.4173	+	23.6959i	0.628624	+	1.03319i
$527$	−10.8081			−0.470807
$528$	−21.2161	−	28.2386i	−0.923314	−	1.22893i
$529$	−55.8553			−2.42849
$530$	−2.07287	−	3.40692i	−0.0900397	−	0.147987i
$531$	24.2492	−	27.2126i	1.05233	−	1.18093i
$532$	−18.1573	+	5.77211i	−0.787220	+	0.250253i
$533$	−4.76585	+	4.76585i	−0.206432	+	0.206432i
$534$	−2.95162	+	13.8452i	−0.127729	+	0.599139i
$535$	3.57519			0.154569
$536$	6.83706	−	7.85205i	0.295316	−	0.339157i
$537$	0.294793	+	10.2473i	0.0127213	+	0.442204i
$538$	20.3643	+	4.95767i	0.877969	+	0.213740i
$539$	−5.67338	−	5.67338i	−0.244370	−	0.244370i
$540$	3.96378	−	9.60669i	0.170574	−	0.413406i
$541$	7.37124	−	7.37124i	0.316914	−	0.316914i	−0.530666	−	0.847581i	$-0.678058\pi$
$541$	7.37124	−	7.37124i	0.316914	−	0.316914i	0.847581	+	0.530666i	$0.178058\pi$
$542$	16.8508	+	27.6956i	0.723805	+	1.18963i
$543$	−12.9599	+	0.372828i	−0.556162	+	0.0159996i
$544$	5.17632	−	11.9548i	0.221933	−	0.512559i
$545$		−	4.80661i		−	0.205892i
$546$	3.20539	+	4.94240i	0.137178	+	0.211515i
$547$	−4.64937	−	4.64937i	−0.198793	−	0.198793i	0.600690	−	0.799482i	$-0.294893\pi$
$547$	−4.64937	−	4.64937i	−0.198793	−	0.198793i	−0.799482	+	0.600690i	$0.794893\pi$
$548$	6.37261	−	12.3125i	0.272224	−	0.525963i
$549$	−6.23931	−	5.55987i	−0.266287	−	0.237289i
$550$	1.70540	−	7.00519i	0.0727186	−	0.298702i
$551$			9.89889i			0.421707i
$552$	−27.6125	+	33.6166i	−1.17527	+	1.43082i
$553$		−	18.8077i		−	0.799783i
$554$	−32.6424	−	7.94676i	−1.38684	−	0.337625i
$555$	7.84956	−	8.31456i	0.333195	−	0.352934i
$556$	−4.96659	−	15.6234i	−0.210630	−	0.662580i
$557$	3.84158	+	3.84158i	0.162773	+	0.162773i	0.783794	−	0.621021i	$-0.213282\pi$
$557$	3.84158	+	3.84158i	0.162773	+	0.162773i	−0.621021	+	0.783794i	$0.713282\pi$
$558$	16.3872	−	11.3104i	0.693726	−	0.478806i
$559$			10.0950i			0.426973i
$560$	11.5440	+	1.97940i	0.487821	+	0.0836449i
$561$	−0.584760	−	20.3269i	−0.0246886	−	0.858201i
$562$	−16.7539	+	10.1936i	−0.706721	+	0.429990i
$563$	−10.9442	+	10.9442i	−0.461245	+	0.461245i	−0.899063	−	0.437818i	$-0.855751\pi$
$563$	−10.9442	+	10.9442i	−0.461245	+	0.461245i	0.437818	+	0.899063i	$0.355751\pi$
$564$	−1.84810	−	5.28237i	−0.0778190	−	0.222428i
$565$	8.89516	+	8.89516i	0.374222	+	0.374222i
$566$	−8.56729	+	35.1913i	−0.360110	+	1.47920i
$567$	26.1788	−	3.02495i	1.09940	−	0.127036i
$568$	27.2728	−	1.88450i	1.14434	−	0.0790717i
$569$	−30.2367			−1.26759			−0.633793	−	0.773502i	$-0.718503\pi$
$569$	−30.2367			−1.26759			−0.633793	+	0.773502i	$0.718503\pi$
$570$	1.66160	−	7.79407i	0.0695968	−	0.326458i
$571$	−8.45380	+	8.45380i	−0.353781	+	0.353781i	−0.861514	−	0.507734i	$-0.830483\pi$
$571$	−8.45380	+	8.45380i	−0.353781	+	0.353781i	0.507734	+	0.861514i	$0.330483\pi$
$572$	−3.84931	+	7.43725i	−0.160948	+	0.310967i
$573$	−7.25622	+	7.68608i	−0.303133	+	0.321090i
$574$	−29.0304	+	17.6630i	−1.21171	+	0.737238i
$575$	−8.88005			−0.370324
$576$	4.66208	+	23.5428i	0.194254	+	0.980951i
$577$	31.4683			1.31004			0.655021	−	0.755610i	$-0.272660\pi$
$577$	31.4683			1.31004			0.655021	+	0.755610i	$0.272660\pi$
$578$	−14.1312	+	8.59787i	−0.587782	+	0.357624i
$579$	−15.2248	+	16.1267i	−0.632720	+	0.670202i
$580$	2.79710	−	5.40427i	0.116143	−	0.224400i
$581$	−6.88771	+	6.88771i	−0.285750	+	0.285750i
$582$	−2.41531	+	11.3295i	−0.100118	+	0.469623i
$583$	14.3762			0.595401
$584$	20.7788	−	1.43577i	0.859832	−	0.0594126i
$585$	−2.45989	+	0.141649i	−0.101704	+	0.00585646i
$586$	4.46249	−	18.3303i	0.184344	−	0.757217i
$587$	13.1844	+	13.1844i	0.544177	+	0.544177i	0.924751	−	0.380574i	$-0.124273\pi$
$587$	13.1844	+	13.1844i	0.544177	+	0.544177i	−0.380574	+	0.924751i	$0.624273\pi$
$588$	1.80037	+	5.14595i	0.0742461	+	0.212216i
$589$	10.7967	−	10.7967i	0.444870	−	0.444870i
$590$	−14.6789	+	8.93107i	−0.604320	+	0.367686i
$591$	−0.825332	−	28.6894i	−0.0339496	−	1.18012i
$592$	−4.46275	+	26.0270i	−0.183418	+	1.06970i
$593$		−	34.9708i		−	1.43608i	−0.696002	−	0.718039i	$-0.745040\pi$
$593$		−	34.9708i		−	1.43608i	0.696002	−	0.718039i	$-0.254960\pi$
$594$	22.1581	+	30.2077i	0.909160	+	1.23944i
$595$	4.76819	+	4.76819i	0.195477	+	0.195477i
$596$	−9.69528	−	30.4985i	−0.397134	−	1.24927i
$597$	−18.8500	+	19.9666i	−0.771477	+	0.817180i
$598$	10.0217	+	2.43977i	0.409818	+	0.0997697i
$599$			15.1001i			0.616974i	0.951229	+	0.308487i	$0.0998227\pi$
$599$			15.1001i			0.616974i	−0.951229	+	0.308487i	$0.900177\pi$
$600$	−3.10949	+	3.78564i	−0.126945	+	0.154548i
$601$			34.3280i			1.40027i	0.714012	+	0.700134i	$0.246876\pi$
$601$			34.3280i			1.40027i	−0.714012	+	0.700134i	$0.753124\pi$
$602$	−12.0392	+	49.4529i	−0.490683	+	2.01555i
$603$	−7.34683	+	8.24464i	−0.299186	+	0.335748i
$604$	7.28873	−	14.0825i	0.296574	−	0.573010i
$605$	10.5999	+	10.5999i	0.430947	+	0.430947i
$606$	−0.848532	−	1.30835i	−0.0344692	−	0.0531482i
$607$			20.6732i			0.839101i	0.907732	+	0.419550i	$0.137812\pi$
$607$			20.6732i			0.839101i	−0.907732	+	0.419550i	$0.862188\pi$
$608$	6.77139	+	17.1132i	0.274616	+	0.694030i
$609$	15.4246	−	0.443733i	0.625036	−	0.0179809i
$610$	2.04772	+	3.36558i	0.0829096	+	0.136268i
$611$	−0.938235	+	0.938235i	−0.0379569	+	0.0379569i
$612$	−5.63537	+	12.6162i	−0.227796	+	0.509981i
$613$	−16.6900	−	16.6900i	−0.674101	−	0.674101i	0.284558	−	0.958659i	$-0.408153\pi$
$613$	−16.6900	−	16.6900i	−0.674101	−	0.674101i	−0.958659	+	0.284558i	$0.908153\pi$
$614$	−4.52108	−	1.10065i	−0.182456	−	0.0444187i
$615$	−0.408724	−	14.2077i	−0.0164813	−	0.572908i
$616$	−27.7264	+	31.8425i	−1.11713	+	1.28297i
$617$	33.9605			1.36720			0.683599	−	0.729858i	$-0.260414\pi$
$617$	33.9605			1.36720			0.683599	+	0.729858i	$0.260414\pi$
$618$	6.05173	−	28.3869i	0.243436	−	1.14189i
$619$	4.18812	−	4.18812i	0.168335	−	0.168335i	−0.617912	−	0.786247i	$-0.712021\pi$
$619$	4.18812	−	4.18812i	0.168335	−	0.168335i	0.786247	+	0.617912i	$0.212021\pi$
$620$	−8.94522	+	2.84363i	−0.359249	+	0.114203i
$621$	29.6944	−	35.3176i	1.19160	−	1.41725i
$622$	−6.87914	−	11.3064i	−0.275828	−	0.453344i
$623$	16.9224			0.677980
$624$	4.54936	−	3.41801i	0.182120	−	0.136830i
$625$	−1.00000			−0.0400000
$626$	1.57289	+	2.58517i	0.0628655	+	0.103324i
$627$	20.8896	+	19.7213i	0.834252	+	0.787595i
$628$	−0.181301	−	0.570317i	−0.00723468	−	0.0227581i
$629$	−10.7504	+	10.7504i	−0.428645	+	0.428645i
$630$	−12.2193	−	2.23975i	−0.486830	−	0.0892338i
$631$	−9.85607			−0.392364			−0.196182	−	0.980567i	$-0.562854\pi$
$631$	−9.85607			−0.392364			−0.196182	+	0.980567i	$0.562854\pi$
$632$	−18.1242	+	1.25234i	−0.720941	+	0.0498156i
$633$	−32.5170	+	0.935443i	−1.29243	+	0.0371805i
$634$	18.0474	+	4.39362i	0.716755	+	0.174493i
$635$	−9.42638	−	9.42638i	−0.374075	−	0.374075i
$636$	−8.80089	−	4.23880i	−0.348978	−	0.168079i
$637$	0.914005	−	0.914005i	0.0362142	−	0.0362142i
$638$	11.4022	+	18.7404i	0.451418	+	0.741939i
$639$	−28.9482	+	1.66694i	−1.14517	+	0.0659430i
$640$	1.13879	−	11.2562i	0.0450147	−	0.444942i
$641$		−	40.0414i		−	1.58154i	−0.612113	−	0.790770i	$-0.709680\pi$
$641$		−	40.0414i		−	1.58154i	0.612113	−	0.790770i	$-0.290320\pi$
$642$	7.34745	−	4.76518i	0.289981	−	0.188067i
$643$	−23.7006	−	23.7006i	−0.934662	−	0.934662i	0.0633306	−	0.997993i	$-0.479828\pi$
$643$	−23.7006	−	23.7006i	−0.934662	−	0.934662i	−0.997993	+	0.0633306i	$0.979828\pi$
$644$	46.1841	+	23.9036i	1.81991	+	0.941936i
$645$	−15.4802	−	14.6144i	−0.609532	−	0.575442i
$646$	−2.50635	+	10.2952i	−0.0986110	+	0.405059i
$647$		−	16.5623i		−	0.651131i	−0.945519	−	0.325566i	$-0.894445\pi$
$647$		−	16.5623i		−	0.651131i	0.945519	−	0.325566i	$-0.105555\pi$
$648$	−4.65819	−	25.0260i	−0.182991	−	0.983115i
$649$		−	61.9406i		−	2.43138i
$650$	1.12856	+	0.274747i	0.0442659	+	0.0107765i
$651$	−17.3076	−	16.3396i	−0.678337	−	0.640400i
$652$	−40.0287	+	12.7249i	−1.56764	+	0.498345i
$653$	−2.81822	−	2.81822i	−0.110286	−	0.110286i	0.649811	−	0.760096i	$-0.274848\pi$
$653$	−2.81822	−	2.81822i	−0.110286	−	0.110286i	−0.760096	+	0.649811i	$0.774848\pi$
$654$	−6.40647	−	9.87816i	−0.250513	−	0.386266i
$655$			13.3308i			0.520879i
$656$	18.9542	+	26.7993i	0.740035	+	1.04634i
$657$	−22.0552	+	1.27001i	−0.860456	+	0.0495480i
$658$	−5.71511	+	3.47724i	−0.222798	+	0.135557i
$659$	16.5222	−	16.5222i	0.643613	−	0.643613i	−0.307829	−	0.951442i	$-0.599602\pi$
$659$	16.5222	−	16.5222i	0.643613	−	0.643613i	0.951442	+	0.307829i	$0.0996024\pi$
$660$	−5.83203	−	16.6695i	−0.227012	−	0.648861i
$661$	−18.8167	−	18.8167i	−0.731885	−	0.731885i	0.239108	−	0.970993i	$-0.423145\pi$
$661$	−18.8167	−	18.8167i	−0.731885	−	0.731885i	−0.970993	+	0.239108i	$0.923145\pi$
$662$	4.00271	−	16.4417i	0.155570	−	0.639025i
$663$	3.27474	−	0.0942072i	0.127180	−	0.00365870i
$664$	7.09605	+	6.17878i	0.275380	+	0.239783i
$665$	−9.52636			−0.369416
$666$	5.04974	−	27.5497i	0.195674	−	1.06753i
$667$	19.1050	−	19.1050i	0.739748	−	0.739748i
$668$	−33.9715	−	17.5827i	−1.31440	−	0.680296i
$669$	−17.7863	−	16.7916i	−0.687658	−	0.649200i
$670$	4.44728	−	2.70586i	0.171814	−	0.104537i
$671$	−14.2017			−0.548252
$672$	26.3624	−	11.3184i	1.01695	−	0.436617i
$673$	35.0332			1.35043			0.675215	−	0.737621i	$-0.264051\pi$
$673$	35.0332			1.35043			0.675215	+	0.737621i	$0.264051\pi$
$674$	−24.5863	+	14.9591i	−0.947030	+	0.576202i
$675$	3.34395	−	3.97719i	0.128709	−	0.153082i
$676$	21.8924	+	11.3309i	0.842014	+	0.435803i
$677$	1.86987	−	1.86987i	0.0718648	−	0.0718648i	−0.670261	−	0.742126i	$-0.733818\pi$
$677$	1.86987	−	1.86987i	0.0718648	−	0.0718648i	0.742126	+	0.670261i	$0.233818\pi$
$678$	30.1365	+	6.42474i	1.15739	+	0.246740i
$679$	13.8475			0.531420
$680$	4.27742	−	4.91241i	0.164031	−	0.188383i
$681$	0.740165	+	25.7289i	0.0283632	+	0.985934i
$682$	8.00374	−	32.8765i	0.306479	−	1.25891i
$683$	17.9975	+	17.9975i	0.688656	+	0.688656i	0.961935	−	0.273279i	$-0.0881081\pi$
$683$	17.9975	+	17.9975i	0.688656	+	0.688656i	−0.273279	+	0.961935i	$0.588108\pi$
$684$	−6.97351	−	18.2324i	−0.266639	−	0.697134i
$685$	4.90163	−	4.90163i	0.187281	−	0.187281i
$686$	−19.1959	+	11.6793i	−0.732901	+	0.445919i
$687$	48.4086	−	1.39261i	1.84690	−	0.0531314i
$688$	48.4574	+	8.30882i	1.84742	+	0.316771i
$689$			2.31606i			0.0882349i
$690$	−18.2496	+	11.8358i	−0.694749	+	0.450579i
$691$	−28.2576	−	28.2576i	−1.07497	−	1.07497i	−0.996952	−	0.0780172i	$-0.975141\pi$
$691$	−28.2576	−	28.2576i	−1.07497	−	1.07497i	−0.0780172	−	0.996952i	$-0.524859\pi$
$692$	27.8989	−	8.86889i	1.06056	−	0.337145i
$693$	29.7937	−	33.4346i	1.13177	−	1.27008i
$694$	17.8404	+	4.34323i	0.677213	+	0.164867i
$695$		−	8.19692i		−	0.310927i
$696$	−1.45468	−	14.8345i	−0.0551397	−	0.562301i
$697$			18.8983i			0.715825i
$698$	1.29406	−	5.31552i	0.0489808	−	0.201195i
$699$	0.0228305	−	0.0241830i	0.000863530	−	0.000914686i
$700$	5.20089	+	2.69184i	0.196575	+	0.101742i
$701$	−5.38431	−	5.38431i	−0.203363	−	0.203363i	0.598076	−	0.801439i	$-0.295932\pi$
$701$	−5.38431	−	5.38431i	−0.203363	−	0.203363i	−0.801439	+	0.598076i	$0.795932\pi$
$702$	−4.86658	+	3.56977i	−0.183677	+	0.134732i
$703$		−	21.4781i		−	0.810063i
$704$	32.5316	+	24.5986i	1.22608	+	0.927093i
$705$	−0.0804639	−	2.79701i	−0.00303045	−	0.105341i
$706$	−12.4661	−	20.4890i	−0.469168	−	0.771113i
$707$	−1.31813	+	1.31813i	−0.0495735	+	0.0495735i
$708$	−18.2631	+	37.9191i	−0.686370	+	1.42509i
$709$	−5.00876	−	5.00876i	−0.188108	−	0.188108i	0.606770	−	0.794878i	$-0.292465\pi$
$709$	−5.00876	−	5.00876i	−0.188108	−	0.188108i	−0.794878	+	0.606770i	$0.792465\pi$
$710$	13.2810	+	3.23325i	0.498428	+	0.121342i
$711$	19.2376	−	1.10776i	0.721465	−	0.0415444i
$712$	−1.12681	−	16.3074i	−0.0422289	−	0.611146i
$713$	−41.6756			−1.56076
$714$	16.1545	+	3.44394i	0.604566	+	0.128886i
$715$	−2.96078	+	2.96078i	−0.110727	+	0.110727i
$716$	−3.58622	−	11.2812i	−0.134023	−	0.421597i
$717$	13.0761	−	13.8507i	0.488336	−	0.517265i
$718$	−22.6176	−	37.1737i	−0.844081	−	1.38731i
$719$	42.5161			1.58558			0.792792	−	0.609493i	$-0.208627\pi$
$719$	42.5161			1.58558			0.792792	+	0.609493i	$0.208627\pi$
$720$	−1.34471	+	11.9244i	−0.0501144	+	0.444397i
$721$	−34.6960			−1.29215
$722$	6.18590	+	10.1670i	0.230215	+	0.378376i
$723$	14.7058	−	15.5769i	0.546914	−	0.579313i
$724$	14.2674	−	4.53553i	0.530245	−	0.168562i
$725$	2.15145	−	2.15145i	0.0799028	−	0.0799028i
$726$	35.9121	+	7.65602i	1.33282	+	0.284142i
$727$	−4.90829			−0.182038			−0.0910192	−	0.995849i	$-0.529012\pi$
$727$	−4.90829			−0.182038			−0.0910192	+	0.995849i	$0.529012\pi$
$728$	−5.12996	−	4.46684i	−0.190129	−	0.165552i
$729$	4.63602	+	26.5990i	0.171704	+	0.985149i
$730$	10.1186	+	2.46337i	0.374507	+	0.0911732i
$731$	20.0152	+	20.0152i	0.740288	+	0.740288i
$732$	8.69410	+	4.18737i	0.321343	+	0.154770i
$733$	3.38839	−	3.38839i	0.125153	−	0.125153i	−0.641756	−	0.766909i	$-0.721794\pi$
$733$	3.38839	−	3.38839i	0.125153	−	0.125153i	0.766909	+	0.641756i	$0.221794\pi$
$734$	15.1230	+	24.8558i	0.558200	+	0.917444i
$735$	0.0783859	+	2.72478i	0.00289131	+	0.100505i
$736$	19.9597	−	46.0975i	0.735725	−	1.69918i
$737$			18.7662i			0.691263i
$738$	−19.7766	−	28.6537i	−0.727987	−	1.05476i
$739$	4.13595	+	4.13595i	0.152143	+	0.152143i	0.779075	−	0.626931i	$-0.215689\pi$
$739$	4.13595	+	4.13595i	0.152143	+	0.152143i	−0.626931	+	0.779075i	$0.715689\pi$
$740$	−6.06901	+	11.7259i	−0.223101	+	0.431053i
$741$	−3.17719	+	3.36541i	−0.116717	+	0.123631i
$742$	−2.76212	+	11.3458i	−0.101401	+	0.416517i
$743$			25.4007i			0.931861i	0.884821	+	0.465931i	$0.154280\pi$
$743$			25.4007i			0.931861i	−0.884821	+	0.465931i	$0.845720\pi$
$744$	−14.5934	+	17.7666i	−0.535019	+	0.651356i
$745$		−	16.0012i		−	0.586239i
$746$	16.7300	+	4.07289i	0.612528	+	0.149119i
$747$	−7.45084	−	6.63947i	−0.272612	−	0.242926i
$748$	7.11372	+	22.3776i	0.260104	+	0.818208i
$749$	−7.40237	−	7.40237i	−0.270477	−	0.270477i
$750$	−2.05512	+	1.33285i	−0.0750424	+	0.0486687i
$751$		−	37.5683i		−	1.37089i	−0.728126	−	0.685443i	$-0.759609\pi$
$751$		−	37.5683i		−	1.37089i	0.728126	−	0.685443i	$-0.240391\pi$
$752$	3.73143	+	5.27588i	0.136071	+	0.192392i
$753$	19.1975	−	0.552271i	0.699596	−	0.0201259i
$754$	−3.01915	+	1.83694i	−0.109951	+	0.0668976i
$755$	5.60628	−	5.60628i	0.204033	−	0.204033i
$756$	−28.0974	+	11.6835i	−1.02189	+	0.424926i
$757$	14.5334	+	14.5334i	0.528225	+	0.528225i	0.920043	−	0.391818i	$-0.128154\pi$
$757$	14.5334	+	14.5334i	0.528225	+	0.528225i	−0.391818	+	0.920043i	$0.628154\pi$
$758$	12.8804	−	52.9080i	0.467837	−	1.92171i
$759$	−2.25482	−	78.3798i	−0.0818447	−	2.84501i
$760$	0.634331	+	9.18017i	0.0230096	+	0.333000i
$761$	23.0561			0.835783			0.417892	−	0.908497i	$-0.362769\pi$
$761$	23.0561			0.835783			0.417892	+	0.908497i	$0.362769\pi$
$762$	−31.9363	−	6.80842i	−1.15693	−	0.246643i
$763$	−9.95200	+	9.95200i	−0.360287	+	0.360287i
$764$	5.61026	−	10.8396i	0.202972	−	0.392162i
$765$	−4.59634	+	5.15803i	−0.166181	+	0.186489i
$766$	−0.645226	+	0.392575i	−0.0233130	+	0.0141843i
$767$	9.97888			0.360316
$768$	−12.6625	−	24.6508i	−0.456919	−	0.889508i
$769$	−21.2997			−0.768086			−0.384043	−	0.923315i	$-0.625469\pi$
$769$	−21.2997			−0.768086			−0.384043	+	0.923315i	$0.625469\pi$
$770$	−18.0351	+	10.9731i	−0.649941	+	0.395443i
$771$	27.4982	+	25.9603i	0.990322	+	0.934936i
$772$	11.7713	−	22.7432i	0.423658	−	0.818547i
$773$	11.2009	−	11.2009i	0.402867	−	0.402867i	−0.476375	−	0.879242i	$-0.658050\pi$
$773$	11.2009	−	11.2009i	0.402867	−	0.402867i	0.879242	+	0.476375i	$0.158050\pi$
$774$	−51.2924	−	9.40169i	−1.84367	−	0.337937i
$775$	−4.69317			−0.168584
$776$	−0.922066	−	13.3443i	−0.0331002	−	0.479034i
$777$	−33.4675	+	0.962789i	−1.20064	+	0.0345399i
$778$	−5.93478	+	24.3779i	−0.212772	+	0.873991i
$779$	−18.8785	−	18.8785i	−0.676391	−	0.676391i
$780$	2.68553	−	0.939564i	0.0961574	−	0.0336418i
$781$	−34.8427	+	34.8427i	−1.24677	+	1.24677i
$782$	24.7071	−	15.0326i	0.883525	−	0.537563i
$783$	1.36238	+	15.7511i	0.0486875	+	0.562897i
$784$	−3.63507	−	5.13964i	−0.129824	−	0.183558i
$785$		−	0.299221i		−	0.0106796i
$786$	17.7680	+	27.3965i	0.633763	+	0.977201i
$787$	−12.9683	−	12.9683i	−0.462269	−	0.462269i	0.437130	−	0.899399i	$-0.355995\pi$
$787$	−12.9683	−	12.9683i	−0.462269	−	0.462269i	−0.899399	+	0.437130i	$0.855995\pi$
$788$	10.0403	+	31.5839i	0.357672	+	1.12513i
$789$	24.7020	+	23.3205i	0.879413	+	0.830230i
$790$	−8.82592	−	2.14866i	−0.314012	−	0.0764459i
$791$		−	36.8346i		−	1.30969i
$792$	−34.2035	−	26.4847i	−1.21537	−	0.941093i
$793$		−	2.28796i		−	0.0812478i
$794$	−11.7966	+	48.4562i	−0.418646	+	1.71965i
$795$	−3.55156	−	3.35294i	−0.125961	−	0.118916i
$796$	14.5741	−	28.1587i	0.516567	−	0.998057i
$797$	−23.1198	−	23.1198i	−0.818944	−	0.818944i	0.167011	−	0.985955i	$-0.446589\pi$
$797$	−23.1198	−	23.1198i	−0.818944	−	0.818944i	−0.985955	+	0.167011i	$0.946589\pi$
$798$	−19.5778	+	12.6972i	−0.693047	+	0.449475i
$799$			3.72044i			0.131620i
$800$	2.24770	−	5.19113i	0.0794683	−	0.183534i
$801$	0.996721	+	17.3092i	0.0352174	+	0.611590i
$802$	3.78313	+	6.21787i	0.133587	+	0.219560i
$803$	−26.5462	+	26.5462i	−0.936793	+	0.936793i
$804$	5.53321	−	11.4884i	0.195141	−	0.405165i
$805$	18.3860	+	18.3860i	0.648021	+	0.648021i
$806$	5.29654	+	1.28944i	0.186563	+	0.0454184i
$807$	25.6590	−	0.738153i	0.903238	−	0.0259842i
$808$	1.35800	+	1.18246i	0.0477744	+	0.0415989i
$809$	−11.4216			−0.401564			−0.200782	−	0.979636i	$-0.564348\pi$
$809$	−11.4216			−0.401564			−0.200782	+	0.979636i	$0.564348\pi$
$810$	1.57124	−	12.6306i	0.0552076	−	0.443793i
$811$	25.4858	−	25.4858i	0.894928	−	0.894928i	−0.100054	−	0.994982i	$-0.531902\pi$
$811$	25.4858	−	25.4858i	0.894928	−	0.894928i	0.994982	+	0.100054i	$0.0319015\pi$
$812$	−16.9808	+	5.39810i	−0.595909	+	0.189436i
$813$	28.8715	+	27.2568i	1.01257	+	0.955938i
$814$	−24.7400	−	40.6620i	−0.867135	−	1.42520i
$815$	−21.0013			−0.735643
$816$	2.24311	−	15.7967i	0.0785245	−	0.552997i
$817$	−39.9883			−1.39901
$818$	5.69198	+	9.35519i	0.199015	+	0.327097i
$819$	5.38645	+	4.79989i	0.188218	+	0.167722i
$820$	4.97221	+	15.6411i	0.173637	+	0.546210i
$821$	−2.27710	+	2.27710i	−0.0794712	+	0.0794712i	−0.745725	−	0.666254i	$-0.767897\pi$
$821$	−2.27710	+	2.27710i	−0.0794712	+	0.0794712i	0.666254	+	0.745725i	$0.267897\pi$
$822$	3.54031	−	16.6065i	0.123483	−	0.579220i
$823$	−6.23350			−0.217286			−0.108643	−	0.994081i	$-0.534651\pi$
$823$	−6.23350			−0.217286			−0.108643	+	0.994081i	$0.534651\pi$
$824$	2.31030	+	33.4352i	0.0804832	+	1.16477i
$825$	−0.253919	−	8.82650i	−0.00884033	−	0.307299i
$826$	48.8840	+	11.9007i	1.70089	+	0.414080i
$827$	0.473030	+	0.473030i	0.0164489	+	0.0164489i	0.715283	−	0.698835i	$-0.246298\pi$
$827$	0.473030	+	0.473030i	0.0164489	+	0.0164489i	−0.698835	+	0.715283i	$0.746298\pi$
$828$	−21.7298	+	48.6478i	−0.755164	+	1.69063i
$829$	−32.6477	+	32.6477i	−1.13390	+	1.13390i	−0.144381	+	0.989522i	$0.546119\pi$
$829$	−32.6477	+	32.6477i	−1.13390	+	1.13390i	−0.989522	+	0.144381i	$0.953881\pi$
$830$	2.44534	+	4.01910i	0.0848789	+	0.139505i
$831$	−41.1293	+	1.18320i	−1.42676	+	0.0410448i
$832$	−3.96293	+	5.24097i	−0.137390	+	0.181698i
$833$		−	3.62436i		−	0.125577i
$834$	−10.9252	−	16.8457i	−0.378310	−	0.583318i
$835$	−13.5241	−	13.5241i	−0.468022	−	0.468022i
$836$	−29.4604	−	15.2479i	−1.01891	−	0.527359i
$837$	15.6937	−	18.6656i	0.542454	−	0.645178i
$838$	−2.08751	+	8.57473i	−0.0721118	+	0.296209i
$839$		−	8.12883i		−	0.280638i	−0.990106	−	0.140319i	$-0.955187\pi$
$839$		−	8.12883i		−	0.280638i	0.990106	−	0.140319i	$-0.0448129\pi$
$840$	14.2763	−	1.39994i	0.492578	−	0.0483025i
$841$		−	19.7425i		−	0.680777i
$842$	23.4014	+	5.69705i	0.806467	+	0.196333i
$843$	−16.4885	+	17.4652i	−0.567893	+	0.601535i
$844$	35.7976	−	11.3799i	1.23221	−	0.391711i
$845$	8.71539	+	8.71539i	0.299819	+	0.299819i
$846$	−3.89335	−	5.64094i	−0.133856	−	0.193940i
$847$		−	43.8938i		−	1.50821i
$848$	11.1174	+	1.90626i	0.381774	+	0.0654614i
$849$	1.27559	+	44.3409i	0.0437782	+	1.52178i
$850$	2.78232	−	1.69285i	0.0954328	−	0.0580641i
$851$	−41.4531	+	41.4531i	−1.42099	+	1.42099i
$852$	31.6035	−	11.0569i	1.08272	−	0.378802i
$853$	7.49392	+	7.49392i	0.256587	+	0.256587i	0.823664	−	0.567077i	$-0.191926\pi$
$853$	7.49392	+	7.49392i	0.256587	+	0.256587i	−0.567077	+	0.823664i	$0.691926\pi$
$854$	2.72860	−	11.2081i	0.0933709	−	0.383534i
$855$	−0.561099	−	9.74412i	−0.0191892	−	0.333242i
$856$	−6.64047	+	7.62628i	−0.226967	+	0.260661i
$857$	−35.7657			−1.22173			−0.610866	−	0.791734i	$-0.709178\pi$
$857$	−35.7657			−1.22173			−0.610866	+	0.791734i	$0.709178\pi$
$858$	−2.13849	+	10.0310i	−0.0730070	+	0.342454i
$859$	30.4223	−	30.4223i	1.03800	−	1.03800i	0.0387477	−	0.999249i	$-0.487663\pi$
$859$	30.4223	−	30.4223i	1.03800	−	1.03800i	0.999249	−	0.0387477i	$-0.0123369\pi$
$860$	21.8315	+	11.2994i	0.744448	+	0.385306i
$861$	−28.5705	+	30.2630i	−0.973679	+	1.03136i
$862$	34.5863	−	21.0433i	1.17801	−	0.716739i
$863$	12.5766			0.428113			0.214056	−	0.976821i	$-0.431332\pi$
$863$	12.5766			0.428113			0.214056	+	0.976821i	$0.431332\pi$
$864$	13.1299	+	26.2984i	0.446688	+	0.894690i
$865$	14.6373			0.497684
$866$	−8.86532	+	5.39393i	−0.301256	+	0.183293i
$867$	−13.9074	+	14.7312i	−0.472318	+	0.500299i
$868$	24.4086	+	12.6332i	0.828483	+	0.428800i
$869$	23.1548	−	23.1548i	0.785471	−	0.785471i
$870$	1.55393	−	7.28904i	0.0526833	−	0.247122i
$871$	−3.02332			−0.102441
$872$	10.2530	+	8.92767i	0.347211	+	0.302329i
$873$	0.815616	+	14.1641i	0.0276044	+	0.479382i
$874$	−9.66441	+	39.6979i	−0.326904	+	1.34280i
$875$	2.07048	+	2.07048i	0.0699951	+	0.0699951i
$876$	24.0783	−	8.42406i	0.813530	−	0.284623i
$877$	−25.5115	+	25.5115i	−0.861461	+	0.861461i	−0.991508	−	0.130047i	$-0.958487\pi$
$877$	−25.5115	+	25.5115i	−0.861461	+	0.861461i	0.130047	+	0.991508i	$0.458487\pi$
$878$	5.52374	−	3.36081i	0.186417	−	0.113422i
$879$	−0.664424	−	23.0961i	−0.0224105	−	0.779011i
$880$	11.7753	+	16.6491i	0.396944	+	0.561240i
$881$		−	44.6371i		−	1.50386i	−0.659242	−	0.751930i	$-0.729123\pi$
$881$		−	44.6371i		−	1.50386i	0.659242	−	0.751930i	$-0.270877\pi$
$882$	3.79280	+	5.49526i	0.127710	+	0.185035i
$883$	33.3163	+	33.3163i	1.12118	+	1.12118i	0.991564	+	0.129621i	$0.0413759\pi$
$883$	33.3163	+	33.3163i	1.12118	+	1.12118i	0.129621	+	0.991564i	$0.458624\pi$
$884$	−3.60513	+	1.14605i	−0.121254	+	0.0385458i
$885$	−14.4463	+	15.3021i	−0.485607	+	0.514375i
$886$	−19.8440	−	4.83099i	−0.666672	−	0.162300i
$887$			1.75962i			0.0590821i	0.999564	+	0.0295411i	$0.00940458\pi$
$887$			1.75962i			0.0590821i	−0.999564	+	0.0295411i	$0.990595\pi$
$888$	3.15630	+	32.1872i	0.105919	+	1.08013i
$889$			39.0343i			1.30917i
$890$	1.93328	−	7.94121i	0.0648036	−	0.266190i
$891$	35.9537	+	28.5055i	1.20449	+	0.954969i
$892$	25.0838	+	12.9827i	0.839867	+	0.434692i
$893$	−3.71653	−	3.71653i	−0.124369	−	0.124369i
$894$	−21.3272	−	32.8844i	−0.713287	−	1.09982i
$895$		−	5.91874i		−	0.197842i
$896$	−25.6637	+	20.9480i	−0.857365	+	0.699824i
$897$	12.6273	−	0.363260i	0.421613	−	0.0121289i
$898$	1.71664	+	2.82142i	0.0572849	+	0.0941521i
$899$	10.0971	−	10.0971i	0.336758	−	0.336758i
$900$	−2.44704	+	5.47832i	−0.0815679	+	0.182611i
$901$	4.59201	+	4.59201i	0.152982	+	0.152982i
$902$	−57.4859	−	13.9949i	−1.91407	−	0.465978i
$903$	1.79254	+	62.3104i	0.0596518	+	2.07356i
$904$	−35.4960	+	2.45270i	−1.18058	+	0.0815756i
$905$	7.48549			0.248826
$906$	4.04927	−	18.9939i	0.134528	−	0.631030i
$907$	−0.313227	+	0.313227i	−0.0104005	+	0.0104005i	−0.712288	−	0.701887i	$-0.752341\pi$
$907$	−0.313227	+	0.313227i	−0.0104005	+	0.0104005i	0.701887	+	0.712288i	$0.252341\pi$
$908$	−9.00426	−	28.3247i	−0.298817	−	0.939988i
$909$	−1.42590	−	1.27063i	−0.0472942	−	0.0421440i
$910$	−1.76781	−	2.90553i	−0.0586024	−	0.0963175i
$911$	15.7890			0.523113			0.261556	−	0.965188i	$-0.415764\pi$
$911$	15.7890			0.523113			0.261556	+	0.965188i	$0.415764\pi$
$912$	13.5394	+	18.0209i	0.448334	+	0.596731i
$913$	−16.9594			−0.561275
$914$	−22.2651	−	36.5944i	−0.736465	−	1.21043i
$915$	3.50847	+	3.31225i	0.115986	+	0.109500i
$916$	−53.2925	+	16.9414i	−1.76083	+	0.559759i
$917$	27.6013	−	27.6013i	0.911475	−	0.911475i
$918$	−2.57117	+	16.7266i	−0.0848612	+	0.552060i
$919$	−15.3132			−0.505136			−0.252568	−	0.967579i	$-0.581275\pi$
$919$	−15.3132			−0.505136			−0.252568	+	0.967579i	$0.581275\pi$
$920$	16.4936	−	18.9421i	0.543778	−	0.624503i
$921$	−5.69654	+	0.163877i	−0.187707	+	0.00539993i
$922$	24.8731	+	6.05533i	0.819153	+	0.199422i
$923$	−5.61331	−	5.61331i	−0.184764	−	0.184764i
$924$	−22.4389	+	46.5891i	−0.738185	+	1.53267i
$925$	−4.66811	+	4.66811i	−0.153487	+	0.153487i
$926$	−21.3271	−	35.0526i	−0.700851	−	1.15190i
$927$	−2.04358	−	35.4891i	−0.0671201	−	1.16562i
$928$	6.33263	+	16.0043i	0.207879	+	0.525366i
$929$			14.9383i			0.490111i	0.969509	+	0.245056i	$0.0788062\pi$
$929$			14.9383i			0.490111i	−0.969509	+	0.245056i	$0.921194\pi$
$930$	−9.64502	+	6.25527i	−0.316273	+	0.205119i
$931$	3.62055	+	3.62055i	0.118659	+	0.118659i
$932$	−0.0176518	+	0.0341050i	−0.000578204	+	0.00111715i
$933$	−11.7864	−	11.1272i	−0.385870	−	0.364289i
$934$	2.91085	−	11.9567i	0.0952460	−	0.391237i
$935$			11.7406i			0.383958i
$936$	4.26679	−	5.51032i	0.139465	−	0.180110i
$937$		−	38.8391i		−	1.26882i	−0.772998	−	0.634409i	$-0.781244\pi$
$937$		−	38.8391i		−	1.26882i	0.772998	−	0.634409i	$-0.218756\pi$
$938$	−14.8105	−	3.60559i	−0.483579	−	0.117727i
$939$	2.69493	+	2.54421i	0.0879456	+	0.0830271i
$940$	0.978860	+	3.07920i	0.0319269	+	0.100432i
$941$	22.0265	+	22.0265i	0.718043	+	0.718043i	0.968204	−	0.250162i	$-0.0804837\pi$
$941$	22.0265	+	22.0265i	0.718043	+	0.718043i	−0.250162	+	0.968204i	$0.580484\pi$
$942$	−0.398815	−	0.614934i	−0.0129941	−	0.0200356i
$943$			72.8714i			2.37302i
$944$	8.21324	−	47.9000i	0.267318	−	1.55901i
$945$	−15.1583	+	1.31111i	−0.493099	+	0.0426503i
$946$	−75.7051	+	46.0613i	−2.46139	+	1.49758i
$947$	−32.8704	+	32.8704i	−1.06814	+	1.06814i	−0.0706423	+	0.997502i	$0.522505\pi$
$947$	−32.8704	+	32.8704i	−1.06814	+	1.06814i	−0.997502	+	0.0706423i	$0.977495\pi$
$948$	−21.0022	+	7.34785i	−0.682119	+	0.238647i
$949$	−4.27669	−	4.27669i	−0.138827	−	0.138827i
$950$	−1.08833	+	4.47046i	−0.0353100	+	0.145041i
$951$	22.7397	−	0.654171i	0.737384	−	0.0212130i
$952$	−19.0274	+	1.31475i	−0.616681	+	0.0426114i
$953$	−12.6087			−0.408435			−0.204217	−	0.978926i	$-0.565465\pi$
$953$	−12.6087			−0.408435			−0.204217	+	0.978926i	$0.565465\pi$
$954$	−11.7678	−	2.15700i	−0.380998	−	0.0698353i
$955$	4.31525	−	4.31525i	0.139638	−	0.139638i
$956$	−10.1100	+	19.5335i	−0.326981	+	0.631759i
$957$	19.5361	+	18.4435i	0.631511	+	0.596193i
$958$	−4.54289	+	2.76403i	−0.146774	+	0.0893018i
$959$	−20.2975			−0.655439
$960$	−2.29968	−	13.6642i	−0.0742218	−	0.441011i
$961$	8.97418			0.289490
$962$	6.55081	−	3.98571i	0.211207	−	0.128504i
$963$	7.13559	−	8.00758i	0.229941	−	0.258041i
$964$	−11.3700	+	21.9680i	−0.366203	+	0.707540i
$965$	9.05413	−	9.05413i	0.291463	−	0.291463i
$966$	62.2912	+	13.2797i	2.00419	+	0.427268i
$967$	−15.8059			−0.508284			−0.254142	−	0.967167i	$-0.581793\pi$
$967$	−15.8059			−0.508284			−0.254142	+	0.967167i	$0.581793\pi$
$968$	−42.2987	+	2.92275i	−1.35953	+	0.0939409i
$969$	0.373173	+	12.9719i	0.0119880	+	0.416717i
$970$	1.58200	−	6.49828i	0.0507949	−	0.208647i
$971$	39.7389	+	39.7389i	1.27528	+	1.27528i	0.943278	+	0.332005i	$0.107725\pi$
$971$	39.7389	+	39.7389i	1.27528	+	1.27528i	0.332005	+	0.943278i	$0.392275\pi$
$972$	−13.6055	−	28.0515i	−0.436398	−	0.899754i
$973$	−16.9716	+	16.9716i	−0.544084	+	0.544084i
$974$	31.1250	−	18.9374i	0.997310	−	0.606793i
$975$	1.42199	−	0.0409074i	0.0455400	−	0.00131009i
$976$	−10.9825	−	1.88313i	−0.351542	−	0.0602776i
$977$			1.05424i			0.0337282i	0.999858	+	0.0168641i	$0.00536826\pi$
$977$			1.05424i			0.0337282i	−0.999858	+	0.0168641i	$0.994632\pi$
$978$	−43.1602	+	27.9915i	−1.38011	+	0.895069i
$979$	20.8337	+	20.8337i	0.665848	+	0.665848i
$980$	−0.953581	−	2.99968i	−0.0304610	−	0.0958213i
$981$	−10.7657	−	9.59332i	−0.343721	−	0.306291i
$982$	−9.57808	−	2.33177i	−0.305649	−	0.0744098i
$983$		−	38.2335i		−	1.21946i	−0.792609	−	0.609730i	$-0.791278\pi$
$983$		−	38.2335i		−	1.21946i	0.792609	−	0.609730i	$-0.208722\pi$
$984$	31.0656	+	25.5171i	0.990337	+	0.813455i
$985$			16.5707i			0.527986i
$986$	−2.34395	+	9.62809i	−0.0746465	+	0.306621i
$987$	−5.62456	+	5.95776i	−0.179032	+	0.189637i
$988$	2.45650	−	4.74619i	0.0781515	−	0.150996i
$989$	77.1780	+	77.1780i	2.45412	+	2.45412i
$990$	−12.2862	−	17.8011i	−0.390481	−	0.565755i
$991$		−	21.8962i		−	0.695555i	−0.937577	−	0.347778i	$-0.886936\pi$
$991$		−	21.8962i		−	0.695555i	0.937577	−	0.347778i	$-0.113064\pi$
$992$	10.5489	−	24.3628i	0.334926	−	0.773521i
$993$	−0.595968	−	20.7165i	−0.0189125	−	0.657417i
$994$	−20.8038	−	34.1925i	−0.659855	−	1.08452i
$995$	11.2100	−	11.2100i	0.355381	−	0.355381i
$996$	10.3823	+	5.00046i	0.328976	+	0.158446i
$997$	0.0290586	+	0.0290586i	0.000920296	+	0.000920296i	0.707567	−	0.706646i	$-0.249793\pi$
$997$	0.0290586	+	0.0290586i	0.000920296	+	0.000920296i	−0.706646	+	0.707567i	$0.749793\pi$
$998$	20.8825	+	5.08381i	0.661023	+	0.160925i
$999$	−2.95602	−	34.1759i	−0.0935244	−	1.08128i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	240.2.bk.b.11.6	✓	60
3.2	odd	2	inner	240.2.bk.b.11.25	yes	60
4.3	odd	2		960.2.bk.b.911.23		60
12.11	even	2		960.2.bk.b.911.8		60
16.3	odd	4	inner	240.2.bk.b.131.25	yes	60
16.13	even	4		960.2.bk.b.431.8		60
48.29	odd	4		960.2.bk.b.431.23		60
48.35	even	4	inner	240.2.bk.b.131.6	yes	60

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
240.2.bk.b.11.6	✓	60	1.1	even	1	trivial
240.2.bk.b.11.25	yes	60	3.2	odd	2	inner
240.2.bk.b.131.6	yes	60	48.35	even	4	inner
240.2.bk.b.131.25	yes	60	16.3	odd	4	inner
960.2.bk.b.431.8		60	16.13	even	4
960.2.bk.b.431.23		60	48.29	odd	4
960.2.bk.b.911.8		60	12.11	even	2
960.2.bk.b.911.23		60	4.3	odd	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 240 = 2^{4} \cdot 3 \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	240.bk (of order \(4\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.20816 + 0.735082i) q^{2} +(-1.18902 + 1.25946i) q^{3} +(0.919310 - 1.77620i) q^{4} +(0.707107 - 0.707107i) q^{5} +(0.510724 - 2.39565i) q^{6} -2.92811 q^{7} +(0.194974 + 2.82170i) q^{8} +(-0.172464 - 2.99504i) q^{9} +O(q^{10})\)	\(q+(-1.20816 + 0.735082i) q^{2} +(-1.18902 + 1.25946i) q^{3} +(0.919310 - 1.77620i) q^{4} +(0.707107 - 0.707107i) q^{5} +(0.510724 - 2.39565i) q^{6} -2.92811 q^{7} +(0.194974 + 2.82170i) q^{8} +(-0.172464 - 2.99504i) q^{9} +(-0.334518 + 1.37408i) q^{10} +(-3.60489 - 3.60489i) q^{11} +(1.14396 + 3.26976i) q^{12} +(0.580763 - 0.580763i) q^{13} +(3.53762 - 2.15240i) q^{14} +(0.0498068 + 1.73133i) q^{15} +(-2.30974 - 3.26575i) q^{16} -2.30294i q^{17} +(2.40996 + 3.49172i) q^{18} +(2.30052 + 2.30052i) q^{19} +(-0.605909 - 1.90601i) q^{20} +(3.48157 - 3.68782i) q^{21} +(7.00519 + 1.70540i) q^{22} -8.88005i q^{23} +(-3.78564 - 3.10949i) q^{24} -1.00000i q^{25} +(-0.274747 + 1.12856i) q^{26} +(3.97719 + 3.34395i) q^{27} +(-2.69184 + 5.20089i) q^{28} +(2.15145 + 2.15145i) q^{29} +(-1.33285 - 2.05512i) q^{30} -4.69317i q^{31} +(5.19113 + 2.24770i) q^{32} +(8.82650 - 0.253919i) q^{33} +(1.69285 + 2.78232i) q^{34} +(-2.07048 + 2.07048i) q^{35} +(-5.47832 - 2.44704i) q^{36} +(-4.66811 - 4.66811i) q^{37} +(-4.47046 - 1.08833i) q^{38} +(0.0409074 + 1.42199i) q^{39} +(2.13311 + 1.85738i) q^{40} -8.20619 q^{41} +(-1.49545 + 7.01473i) q^{42} +(-8.69116 + 8.69116i) q^{43} +(-9.71701 + 3.08898i) q^{44} +(-2.23976 - 1.99586i) q^{45} +(6.52756 + 10.7285i) q^{46} -1.61552 q^{47} +(6.85939 + 0.974021i) q^{48} +1.57380 q^{49} +(0.735082 + 1.20816i) q^{50} +(2.90045 + 2.73824i) q^{51} +(-0.497647 - 1.56545i) q^{52} +(-1.99398 + 1.99398i) q^{53} +(-7.26316 - 1.11647i) q^{54} -5.09809 q^{55} +(-0.570903 - 8.26223i) q^{56} +(-5.63276 + 0.162042i) q^{57} +(-4.18079 - 1.01781i) q^{58} +(8.59118 + 8.59118i) q^{59} +(3.12098 + 1.50317i) q^{60} +(1.96979 - 1.96979i) q^{61} +(3.44986 + 5.67011i) q^{62} +(0.504994 + 8.76979i) q^{63} +(-7.92397 + 1.10031i) q^{64} -0.821323i q^{65} +(-10.4772 + 6.79497i) q^{66} +(-2.60288 - 2.60288i) q^{67} +(-4.09046 - 2.11711i) q^{68} +(11.1840 + 10.5586i) q^{69} +(0.979504 - 4.02345i) q^{70} -9.66540i q^{71} +(8.41747 - 1.07060i) q^{72} -7.36392i q^{73} +(9.07127 + 2.20839i) q^{74} +(1.25946 + 1.18902i) q^{75} +(6.20105 - 1.97128i) q^{76} +(10.5555 + 10.5555i) q^{77} +(-1.09470 - 1.68792i) q^{78} +6.42315i q^{79} +(-3.94246 - 0.676000i) q^{80} +(-8.94051 + 1.03307i) q^{81} +(9.91440 - 6.03222i) q^{82} +(2.35228 - 2.35228i) q^{83} +(-3.34965 - 9.57421i) q^{84} +(-1.62842 - 1.62842i) q^{85} +(4.11161 - 16.8890i) q^{86} +(-5.26778 + 0.151543i) q^{87} +(9.46906 - 10.8748i) q^{88} -5.77929 q^{89} +(4.17312 + 0.764915i) q^{90} +(-1.70054 + 1.70054i) q^{91} +(-15.7727 - 8.16352i) q^{92} +(5.91084 + 5.58027i) q^{93} +(1.95181 - 1.18754i) q^{94} +3.25342 q^{95} +(-9.00324 + 3.86544i) q^{96} -4.72918 q^{97} +(-1.90141 + 1.15687i) q^{98} +(-10.1751 + 11.4185i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 60 q + 4 q^{3} + 8 q^{4} + 8 q^{6} + 16 q^{7}+O(q^{10}) \) 60 * q + 4 * q^3 + 8 * q^4 + 8 * q^6 + 16 * q^7	\( 60 q + 4 q^{3} + 8 q^{4} + 8 q^{6} + 16 q^{7} + 4 q^{12} + 16 q^{13} - 52 q^{16} - 20 q^{18} + 20 q^{19} - 16 q^{21} - 24 q^{22} - 28 q^{24} - 20 q^{27} - 56 q^{28} - 12 q^{34} + 12 q^{36} + 24 q^{37} - 80 q^{39} - 8 q^{40} + 36 q^{42} - 8 q^{45} + 36 q^{46} + 56 q^{48} + 28 q^{49} - 36 q^{51} - 24 q^{52} + 92 q^{54} - 80 q^{58} + 28 q^{60} + 20 q^{61} - 64 q^{64} + 24 q^{66} - 40 q^{67} + 12 q^{69} - 16 q^{70} - 56 q^{72} + 4 q^{75} - 20 q^{76} - 8 q^{78} - 28 q^{81} - 32 q^{82} + 16 q^{84} - 20 q^{85} - 24 q^{87} + 8 q^{88} + 32 q^{90} - 16 q^{91} - 48 q^{93} + 28 q^{94} + 72 q^{96} - 8 q^{97} + 32 q^{99}+O(q^{100}) \) 60 * q + 4 * q^3 + 8 * q^4 + 8 * q^6 + 16 * q^7 + 4 * q^12 + 16 * q^13 - 52 * q^16 - 20 * q^18 + 20 * q^19 - 16 * q^21 - 24 * q^22 - 28 * q^24 - 20 * q^27 - 56 * q^28 - 12 * q^34 + 12 * q^36 + 24 * q^37 - 80 * q^39 - 8 * q^40 + 36 * q^42 - 8 * q^45 + 36 * q^46 + 56 * q^48 + 28 * q^49 - 36 * q^51 - 24 * q^52 + 92 * q^54 - 80 * q^58 + 28 * q^60 + 20 * q^61 - 64 * q^64 + 24 * q^66 - 40 * q^67 + 12 * q^69 - 16 * q^70 - 56 * q^72 + 4 * q^75 - 20 * q^76 - 8 * q^78 - 28 * q^81 - 32 * q^82 + 16 * q^84 - 20 * q^85 - 24 * q^87 + 8 * q^88 + 32 * q^90 - 16 * q^91 - 48 * q^93 + 28 * q^94 + 72 * q^96 - 8 * q^97 + 32 * q^99

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