LMFDB - Embedded newform 966.2.q.g.463.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(85,966)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(966, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 0, 8]))

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

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

chi := DirichletCharacter("966.85");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.q (of order $11$, degree $10$, 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:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$30$
Relative dimension:	$3$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			463.1
Character	$\chi$	$=$	966.463
Dual form			966.2.q.g.169.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.142315 + 0.989821i) q^{2} +(-0.415415 + 0.909632i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-1.94500 + 2.24464i) q^{5} +(-0.959493 - 0.281733i) q^{6} +(-0.841254 + 0.540641i) q^{7} +(-0.415415 - 0.909632i) q^{8} +(-0.654861 - 0.755750i) q^{9} +O(q^{10})$	\(q+(0.142315 + 0.989821i) q^{2} +(-0.415415 + 0.909632i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-1.94500 + 2.24464i) q^{5} +(-0.959493 - 0.281733i) q^{6} +(-0.841254 + 0.540641i) q^{7} +(-0.415415 - 0.909632i) q^{8} +(-0.654861 - 0.755750i) q^{9} +(-2.49860 - 1.60575i) q^{10} +(0.361520 - 2.51442i) q^{11} +(0.142315 - 0.989821i) q^{12} +(-5.77858 - 3.71367i) q^{13} +(-0.654861 - 0.755750i) q^{14} +(-1.23382 - 2.70169i) q^{15} +(0.841254 - 0.540641i) q^{16} +(3.79732 + 1.11499i) q^{17} +(0.654861 - 0.755750i) q^{18} +(-0.341669 + 0.100323i) q^{19} +(1.23382 - 2.70169i) q^{20} +(-0.142315 - 0.989821i) q^{21} +2.54028 q^{22} +(3.74492 - 2.99593i) q^{23} +1.00000 q^{24} +(-0.543847 - 3.78254i) q^{25} +(2.85349 - 6.24828i) q^{26} +(0.959493 - 0.281733i) q^{27} +(0.654861 - 0.755750i) q^{28} +(-5.47284 - 1.60697i) q^{29} +(2.49860 - 1.60575i) q^{30} +(3.86230 + 8.45726i) q^{31} +(0.654861 + 0.755750i) q^{32} +(2.13702 + 1.37338i) q^{33} +(-0.563229 + 3.91735i) q^{34} +(0.422688 - 2.93986i) q^{35} +(0.841254 + 0.540641i) q^{36} +(-2.60315 - 3.00419i) q^{37} +(-0.147926 - 0.323914i) q^{38} +(5.77858 - 3.71367i) q^{39} +(2.84978 + 0.836771i) q^{40} +(1.43159 - 1.65215i) q^{41} +(0.959493 - 0.281733i) q^{42} +(-1.87707 + 4.11020i) q^{43} +(0.361520 + 2.51442i) q^{44} +2.97009 q^{45} +(3.49839 + 3.28043i) q^{46} -7.94468 q^{47} +(0.142315 + 0.989821i) q^{48} +(0.415415 - 0.909632i) q^{49} +(3.66664 - 1.07662i) q^{50} +(-2.59170 + 2.99098i) q^{51} +(6.59077 + 1.93523i) q^{52} +(10.3651 - 6.66128i) q^{53} +(0.415415 + 0.909632i) q^{54} +(4.94084 + 5.70203i) q^{55} +(0.841254 + 0.540641i) q^{56} +(0.0506773 - 0.352468i) q^{57} +(0.811749 - 5.64584i) q^{58} +(-5.59992 - 3.59885i) q^{59} +(1.94500 + 2.24464i) q^{60} +(0.303848 + 0.665334i) q^{61} +(-7.82152 + 5.02658i) q^{62} +(0.959493 + 0.281733i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(19.5752 - 5.74780i) q^{65} +(-1.05527 + 2.31072i) q^{66} +(-0.906801 - 6.30694i) q^{67} -3.95763 q^{68} +(1.16950 + 4.65105i) q^{69} +2.97009 q^{70} +(-1.57701 - 10.9683i) q^{71} +(-0.415415 + 0.909632i) q^{72} +(2.57749 - 0.756820i) q^{73} +(2.60315 - 3.00419i) q^{74} +(3.66664 + 1.07662i) q^{75} +(0.299564 - 0.192518i) q^{76} +(1.05527 + 2.31072i) q^{77} +(4.49825 + 5.19126i) q^{78} +(-13.8879 - 8.92520i) q^{79} +(-0.422688 + 2.93986i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(1.83907 + 1.18190i) q^{82} +(-6.34741 - 7.32530i) q^{83} +(0.415415 + 0.909632i) q^{84} +(-9.88853 + 6.35497i) q^{85} +(-4.33550 - 1.27302i) q^{86} +(3.73526 - 4.31071i) q^{87} +(-2.43738 + 0.715680i) q^{88} +(3.81353 - 8.35047i) q^{89} +(0.422688 + 2.93986i) q^{90} +6.86902 q^{91} +(-2.74917 + 3.92964i) q^{92} -9.29745 q^{93} +(-1.13065 - 7.86381i) q^{94} +(0.439355 - 0.962052i) q^{95} +(-0.959493 + 0.281733i) q^{96} +(-6.69702 + 7.72877i) q^{97} +(0.959493 + 0.281733i) q^{98} +(-2.13702 + 1.37338i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 30 q + 3 q^{2} + 3 q^{3} - 3 q^{4} - 10 q^{5} - 3 q^{6} + 3 q^{7} + 3 q^{8} - 3 q^{9}+O(q^{10}) $ 30 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 - 10 * q^5 - 3 * q^6 + 3 * q^7 + 3 * q^8 - 3 * q^9	\( 30 q + 3 q^{2} + 3 q^{3} - 3 q^{4} - 10 q^{5} - 3 q^{6} + 3 q^{7} + 3 q^{8} - 3 q^{9} + 10 q^{10} + 9 q^{11} + 3 q^{12} - 12 q^{13} - 3 q^{14} - q^{15} - 3 q^{16} + 5 q^{17} + 3 q^{18} + 18 q^{19} + q^{20} - 3 q^{21} + 2 q^{22} + 21 q^{23} + 30 q^{24} + 13 q^{25} - 10 q^{26} + 3 q^{27} + 3 q^{28} + 17 q^{29} - 10 q^{30} + 12 q^{31} + 3 q^{32} + 13 q^{33} + 17 q^{34} - q^{35} - 3 q^{36} + 16 q^{37} + 15 q^{38} + 12 q^{39} - 12 q^{40} + 10 q^{41} + 3 q^{42} - 35 q^{43} + 9 q^{44} + 12 q^{45} + q^{46} - 8 q^{47} + 3 q^{48} - 3 q^{49} - 2 q^{50} + 6 q^{51} - q^{52} + 42 q^{53} - 3 q^{54} + 49 q^{55} - 3 q^{56} + 15 q^{57} + 5 q^{58} - 6 q^{59} + 10 q^{60} - 18 q^{61} - 34 q^{62} + 3 q^{63} - 3 q^{64} + 34 q^{65} - 2 q^{66} + 72 q^{67} - 6 q^{68} - 10 q^{69} + 12 q^{70} + 17 q^{71} + 3 q^{72} + 9 q^{73} - 16 q^{74} - 2 q^{75} + 18 q^{76} + 2 q^{77} + 10 q^{78} - 56 q^{79} + q^{80} - 3 q^{81} + 12 q^{82} + 52 q^{83} - 3 q^{84} - 53 q^{85} - 31 q^{86} + 5 q^{87} + 13 q^{88} - 104 q^{89} - q^{90} + 34 q^{91} - 12 q^{92} + 32 q^{93} - 14 q^{94} - 92 q^{95} - 3 q^{96} - 82 q^{97} + 3 q^{98} - 13 q^{99}+O(q^{100}) \) 30 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 - 10 * q^5 - 3 * q^6 + 3 * q^7 + 3 * q^8 - 3 * q^9 + 10 * q^10 + 9 * q^11 + 3 * q^12 - 12 * q^13 - 3 * q^14 - q^15 - 3 * q^16 + 5 * q^17 + 3 * q^18 + 18 * q^19 + q^20 - 3 * q^21 + 2 * q^22 + 21 * q^23 + 30 * q^24 + 13 * q^25 - 10 * q^26 + 3 * q^27 + 3 * q^28 + 17 * q^29 - 10 * q^30 + 12 * q^31 + 3 * q^32 + 13 * q^33 + 17 * q^34 - q^35 - 3 * q^36 + 16 * q^37 + 15 * q^38 + 12 * q^39 - 12 * q^40 + 10 * q^41 + 3 * q^42 - 35 * q^43 + 9 * q^44 + 12 * q^45 + q^46 - 8 * q^47 + 3 * q^48 - 3 * q^49 - 2 * q^50 + 6 * q^51 - q^52 + 42 * q^53 - 3 * q^54 + 49 * q^55 - 3 * q^56 + 15 * q^57 + 5 * q^58 - 6 * q^59 + 10 * q^60 - 18 * q^61 - 34 * q^62 + 3 * q^63 - 3 * q^64 + 34 * q^65 - 2 * q^66 + 72 * q^67 - 6 * q^68 - 10 * q^69 + 12 * q^70 + 17 * q^71 + 3 * q^72 + 9 * q^73 - 16 * q^74 - 2 * q^75 + 18 * q^76 + 2 * q^77 + 10 * q^78 - 56 * q^79 + q^80 - 3 * q^81 + 12 * q^82 + 52 * q^83 - 3 * q^84 - 53 * q^85 - 31 * q^86 + 5 * q^87 + 13 * q^88 - 104 * q^89 - q^90 + 34 * q^91 - 12 * q^92 + 32 * q^93 - 14 * q^94 - 92 * q^95 - 3 * q^96 - 82 * q^97 + 3 * q^98 - 13 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/966\mathbb{Z}\right)^\times$.

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$1$	$e\left(\frac{8}{11}\right)$

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 $

$2$	0.142315	+	0.989821i	0.100632	+	0.699909i
$2$	0.142315	+	0.989821i	0.100632	+	0.699909i
$3$	−0.415415	+	0.909632i	−0.239840	+	0.525176i
$3$	−0.415415	+	0.909632i	−0.239840	+	0.525176i
$4$	−0.959493	+	0.281733i	−0.479746	+	0.140866i
$5$	−1.94500	+	2.24464i	−0.869829	+	1.00384i	0.130095	+	0.991501i	$0.458472\pi$
$5$	−1.94500	+	2.24464i	−0.869829	+	1.00384i	−0.999924	+	0.0123342i	$0.996074\pi$
$6$	−0.959493	−	0.281733i	−0.391711	−	0.115017i
$7$	−0.841254	+	0.540641i	−0.317964	+	0.204343i
$7$	−0.841254	+	0.540641i	−0.317964	+	0.204343i
$8$	−0.415415	−	0.909632i	−0.146871	−	0.321603i
$9$	−0.654861	−	0.755750i	−0.218287	−	0.251917i
$10$	−2.49860	−	1.60575i	−0.790126	−	0.507783i
$11$	0.361520	−	2.51442i	0.109002	−	0.758127i	−0.859860	−	0.510529i	$-0.829450\pi$
$11$	0.361520	−	2.51442i	0.109002	−	0.758127i	0.968863	−	0.247598i	$-0.0796413\pi$
$12$	0.142315	−	0.989821i	0.0410828	−	0.285737i
$13$	−5.77858	−	3.71367i	−1.60269	−	1.02999i	−0.965888	−	0.258961i	$-0.916620\pi$
$13$	−5.77858	−	3.71367i	−1.60269	−	1.02999i	−0.636803	−	0.771026i	$-0.719744\pi$
$14$	−0.654861	−	0.755750i	−0.175019	−	0.201983i
$15$	−1.23382	−	2.70169i	−0.318571	−	0.697573i
$16$	0.841254	−	0.540641i	0.210313	−	0.135160i
$17$	3.79732	+	1.11499i	0.920985	+	0.270426i	0.707658	−	0.706555i	$-0.249752\pi$
$17$	3.79732	+	1.11499i	0.920985	+	0.270426i	0.213327	+	0.976981i	$0.431570\pi$
$18$	0.654861	−	0.755750i	0.154352	−	0.178132i
$19$	−0.341669	+	0.100323i	−0.0783842	+	0.0230157i	−0.320690	−	0.947184i	$-0.603915\pi$
$19$	−0.341669	+	0.100323i	−0.0783842	+	0.0230157i	0.242305	+	0.970200i	$0.422096\pi$
$20$	1.23382	−	2.70169i	0.275891	−	0.604116i
$21$	−0.142315	−	0.989821i	−0.0310556	−	0.215997i
$22$	2.54028			0.541590
$23$	3.74492	−	2.99593i	0.780869	−	0.624695i
$23$	3.74492	−	2.99593i	0.780869	−	0.624695i
$24$	1.00000			0.204124
$25$	−0.543847	−	3.78254i	−0.108769	−	0.756508i
$26$	2.85349	−	6.24828i	0.559616	−	1.22539i
$27$	0.959493	−	0.281733i	0.184655	−	0.0542195i
$28$	0.654861	−	0.755750i	0.123757	−	0.142823i
$29$	−5.47284	−	1.60697i	−1.01628	−	0.298407i	−0.269161	−	0.963095i	$-0.586746\pi$
$29$	−5.47284	−	1.60697i	−1.01628	−	0.298407i	−0.747121	+	0.664688i	$0.768564\pi$
$30$	2.49860	−	1.60575i	0.456180	−	0.293169i
$31$	3.86230	+	8.45726i	0.693690	+	1.51897i	0.847458	+	0.530862i	$0.178132\pi$
$31$	3.86230	+	8.45726i	0.693690	+	1.51897i	−0.153768	+	0.988107i	$0.549141\pi$
$32$	0.654861	+	0.755750i	0.115764	+	0.133599i
$33$	2.13702	+	1.37338i	0.372007	+	0.239075i
$34$	−0.563229	+	3.91735i	−0.0965930	+	0.671819i
$35$	0.422688	−	2.93986i	0.0714473	−	0.496927i
$36$	0.841254	+	0.540641i	0.140209	+	0.0901068i
$37$	−2.60315	−	3.00419i	−0.427955	−	0.493886i	0.500289	−	0.865858i	$-0.333227\pi$
$37$	−2.60315	−	3.00419i	−0.427955	−	0.493886i	−0.928244	+	0.371972i	$0.878682\pi$
$38$	−0.147926	−	0.323914i	−0.0239968	−	0.0525457i
$39$	5.77858	−	3.71367i	0.925314	−	0.594663i
$40$	2.84978	+	0.836771i	0.450590	+	0.132305i
$41$	1.43159	−	1.65215i	0.223578	−	0.258022i	−0.632868	−	0.774260i	$-0.718122\pi$
$41$	1.43159	−	1.65215i	0.223578	−	0.258022i	0.856445	+	0.516238i	$0.172668\pi$
$42$	0.959493	−	0.281733i	0.148053	−	0.0434723i
$43$	−1.87707	+	4.11020i	−0.286250	+	0.626800i	−0.997063	−	0.0765806i	$-0.975600\pi$
$43$	−1.87707	+	4.11020i	−0.286250	+	0.626800i	0.710813	+	0.703381i	$0.248327\pi$
$44$	0.361520	+	2.51442i	0.0545011	+	0.379064i
$45$	2.97009			0.442755
$46$	3.49839	+	3.28043i	0.515810	+	0.483673i
$47$	−7.94468			−1.15885			−0.579425	−	0.815026i	$-0.696723\pi$
$47$	−7.94468			−1.15885			−0.579425	+	0.815026i	$0.696723\pi$
$48$	0.142315	+	0.989821i	0.0205414	+	0.142868i
$49$	0.415415	−	0.909632i	0.0593450	−	0.129947i
$50$	3.66664	−	1.07662i	0.518542	−	0.152258i
$51$	−2.59170	+	2.99098i	−0.362910	+	0.418821i
$52$	6.59077	+	1.93523i	0.913976	+	0.268368i
$53$	10.3651	−	6.66128i	1.42376	−	0.914997i	0.423805	−	0.905753i	$-0.360694\pi$
$53$	10.3651	−	6.66128i	1.42376	−	0.914997i	0.999957	−	0.00924329i	$-0.00294227\pi$
$54$	0.415415	+	0.909632i	0.0565308	+	0.123785i
$55$	4.94084	+	5.70203i	0.666222	+	0.768861i
$56$	0.841254	+	0.540641i	0.112417	+	0.0722462i
$57$	0.0506773	−	0.352468i	0.00671237	−	0.0466856i
$58$	0.811749	−	5.64584i	0.106588	−	0.741334i
$59$	−5.59992	−	3.59885i	−0.729048	−	0.468530i	0.122726	−	0.992441i	$-0.460836\pi$
$59$	−5.59992	−	3.59885i	−0.729048	−	0.468530i	−0.851774	+	0.523910i	$0.824473\pi$
$60$	1.94500	+	2.24464i	0.251098	+	0.289782i
$61$	0.303848	+	0.665334i	0.0389038	+	0.0851874i	0.928086	−	0.372366i	$-0.121453\pi$
$61$	0.303848	+	0.665334i	0.0389038	+	0.0851874i	−0.889182	+	0.457553i	$0.848726\pi$
$62$	−7.82152	+	5.02658i	−0.993334	+	0.638377i
$63$	0.959493	+	0.281733i	0.120885	+	0.0354950i
$64$	−0.654861	+	0.755750i	−0.0818576	+	0.0944687i
$65$	19.5752	−	5.74780i	2.42800	−	0.712926i
$66$	−1.05527	+	2.31072i	−0.129895	+	0.284430i
$67$	−0.906801	−	6.30694i	−0.110783	−	0.770515i	−0.967161	−	0.254165i	$-0.918199\pi$
$67$	−0.906801	−	6.30694i	−0.110783	−	0.770515i	0.856377	−	0.516350i	$-0.172710\pi$
$68$	−3.95763			−0.479933
$69$	1.16950	+	4.65105i	0.140791	+	0.559921i
$70$	2.97009			0.354994
$71$	−1.57701	−	10.9683i	−0.187157	−	1.30170i	−0.839326	−	0.543629i	$-0.817050\pi$
$71$	−1.57701	−	10.9683i	−0.187157	−	1.30170i	0.652169	−	0.758073i	$-0.273859\pi$
$72$	−0.415415	+	0.909632i	−0.0489571	+	0.107201i
$73$	2.57749	−	0.756820i	0.301673	−	0.0885791i	−0.127393	−	0.991852i	$-0.540661\pi$
$73$	2.57749	−	0.756820i	0.301673	−	0.0885791i	0.429066	+	0.903273i	$0.358843\pi$
$74$	2.60315	−	3.00419i	0.302610	−	0.349230i
$75$	3.66664	+	1.07662i	0.423388	+	0.124318i
$76$	0.299564	−	0.192518i	0.0343624	−	0.0220834i
$77$	1.05527	+	2.31072i	0.120259	+	0.263331i
$78$	4.49825	+	5.19126i	0.509326	+	0.587794i
$79$	−13.8879	−	8.92520i	−1.56251	−	1.00416i	−0.981770	−	0.190074i	$-0.939127\pi$
$79$	−13.8879	−	8.92520i	−1.56251	−	1.00416i	−0.580739	−	0.814090i	$-0.697236\pi$
$80$	−0.422688	+	2.93986i	−0.0472580	+	0.328686i
$81$	−0.142315	+	0.989821i	−0.0158128	+	0.109980i
$82$	1.83907	+	1.18190i	0.203091	+	0.130519i
$83$	−6.34741	−	7.32530i	−0.696718	−	0.804056i	0.291587	−	0.956544i	$-0.405817\pi$
$83$	−6.34741	−	7.32530i	−0.696718	−	0.804056i	−0.988305	+	0.152488i	$0.951271\pi$
$84$	0.415415	+	0.909632i	0.0453255	+	0.0992490i
$85$	−9.88853	+	6.35497i	−1.07256	+	0.689294i
$86$	−4.33550	−	1.27302i	−0.467509	−	0.137273i
$87$	3.73526	−	4.31071i	0.400461	−	0.462157i
$88$	−2.43738	+	0.715680i	−0.259826	+	0.0762917i
$89$	3.81353	−	8.35047i	0.404233	−	0.885148i	−0.592590	−	0.805504i	$-0.701895\pi$
$89$	3.81353	−	8.35047i	0.404233	−	0.885148i	0.996823	−	0.0796434i	$-0.0253782\pi$
$90$	0.422688	+	2.93986i	0.0445552	+	0.309888i
$91$	6.86902			0.720069
$92$	−2.74917	+	3.92964i	−0.286621	+	0.409693i
$93$	−9.29745			−0.964101
$94$	−1.13065	−	7.86381i	−0.116617	−	0.811090i
$95$	0.439355	−	0.962052i	0.0450768	−	0.0987045i
$96$	−0.959493	+	0.281733i	−0.0979278	+	0.0287542i
$97$	−6.69702	+	7.72877i	−0.679979	+	0.784738i	−0.985903	−	0.167318i	$-0.946489\pi$
$97$	−6.69702	+	7.72877i	−0.679979	+	0.784738i	0.305924	+	0.952056i	$0.401035\pi$
$98$	0.959493	+	0.281733i	0.0969234	+	0.0284593i
$99$	−2.13702	+	1.37338i	−0.214779	+	0.138030i
$100$	1.58748	+	3.47610i	0.158748	+	0.347610i
$101$	−1.07295	−	1.23825i	−0.106762	−	0.123210i	0.699853	−	0.714287i	$-0.253249\pi$
$101$	−1.07295	−	1.23825i	−0.106762	−	0.123210i	−0.806616	+	0.591076i	$0.798703\pi$
$102$	−3.32937	−	2.13966i	−0.329657	−	0.211858i
$103$	0.774484	−	5.38666i	0.0763122	−	0.530763i	−0.915426	−	0.402486i	$-0.868146\pi$
$103$	0.774484	−	5.38666i	0.0763122	−	0.530763i	0.991738	−	0.128277i	$-0.0409447\pi$
$104$	−0.977563	+	6.79910i	−0.0958579	+	0.666707i
$105$	2.49860	+	1.60575i	0.243838	+	0.156705i
$106$	8.06859	+	9.31165i	0.783691	+	0.904427i
$107$	3.51799	+	7.70333i	0.340097	+	0.744709i	0.999978	−	0.00666174i	$-0.00212051\pi$
$107$	3.51799	+	7.70333i	0.340097	+	0.744709i	−0.659881	+	0.751370i	$0.729393\pi$
$108$	−0.841254	+	0.540641i	−0.0809497	+	0.0520232i
$109$	−13.9613	−	4.09942i	−1.33725	−	0.392653i	−0.466564	−	0.884487i	$-0.654508\pi$
$109$	−13.9613	−	4.09942i	−1.33725	−	0.392653i	−0.870689	+	0.491835i	$0.836326\pi$
$110$	−4.94084	+	5.70203i	−0.471090	+	0.543667i
$111$	3.81409	−	1.11992i	0.362018	−	0.106298i
$112$	−0.415415	+	0.909632i	−0.0392530	+	0.0859521i
$113$	1.64846	+	11.4653i	0.155074	+	1.07856i	0.907550	+	0.419944i	$0.137950\pi$
$113$	1.64846	+	11.4653i	0.155074	+	1.07856i	−0.752476	+	0.658620i	$0.771141\pi$
$114$	0.356093			0.0333512
$115$	−0.559046	+	14.2331i	−0.0521313	+	1.32724i
$116$	5.70389			0.529593
$117$	0.977563	+	6.79910i	0.0903757	+	0.628577i
$118$	2.76527	−	6.05509i	0.254564	−	0.557416i
$119$	−3.79732	+	1.11499i	−0.348100	+	0.102211i
$120$	−1.94500	+	2.24464i	−0.177553	+	0.204907i
$121$	4.36279	+	1.28103i	0.396617	+	0.116457i
$122$	−0.615320	+	0.395442i	−0.0557085	+	0.0358017i
$123$	0.908141	+	1.98855i	0.0818843	+	0.179302i
$124$	−6.08854	−	7.02655i	−0.546767	−	0.631003i
$125$	−2.94475	−	1.89248i	−0.263387	−	0.169268i
$126$	−0.142315	+	0.989821i	−0.0126784	+	0.0881803i
$127$	−0.710251	+	4.93990i	−0.0630246	+	0.438346i	0.933739	+	0.357955i	$0.116526\pi$
$127$	−0.710251	+	4.93990i	−0.0630246	+	0.438346i	−0.996763	+	0.0803906i	$0.974383\pi$
$128$	−0.841254	−	0.540641i	−0.0743570	−	0.0477863i
$129$	−2.95901	−	3.41488i	−0.260526	−	0.300663i
$130$	8.47513	+	18.5580i	0.743318	+	1.62764i
$131$	14.4801	−	9.30582i	1.26514	−	0.813054i	0.276157	−	0.961112i	$-0.410939\pi$
$131$	14.4801	−	9.30582i	1.26514	−	0.813054i	0.988979	+	0.148059i	$0.0473025\pi$
$132$	−2.43738	−	0.715680i	−0.212147	−	0.0622919i
$133$	0.233191	−	0.269117i	0.0202202	−	0.0233354i
$134$	6.11369	−	1.79514i	0.528143	−	0.155077i
$135$	−1.23382	+	2.70169i	−0.106190	+	0.232524i
$136$	−0.563229	−	3.91735i	−0.0482965	−	0.335910i
$137$	−11.1444			−0.952134			−0.476067	−	0.879409i	$-0.657938\pi$
$137$	−11.1444			−0.952134			−0.476067	+	0.879409i	$0.657938\pi$
$138$	−4.43727	+	1.81951i	−0.377726	+	0.154887i
$139$	−11.2561			−0.954729			−0.477365	−	0.878705i	$-0.658408\pi$
$139$	−11.2561			−0.954729			−0.477365	+	0.878705i	$0.658408\pi$
$140$	0.422688	+	2.93986i	0.0357237	+	0.248463i
$141$	3.30034	−	7.22673i	0.277939	−	0.608601i
$142$	10.6323	−	3.12191i	0.892240	−	0.261985i
$143$	−11.4268	+	13.1872i	−0.955558	+	1.10277i
$144$	−0.959493	−	0.281733i	−0.0799577	−	0.0234777i
$145$	14.2517	−	9.15904i	1.18354	−	0.760617i
$146$	1.11593	+	2.44355i	0.0923552	+	0.202230i
$147$	0.654861	+	0.755750i	0.0540120	+	0.0623332i
$148$	3.34408	+	2.14911i	0.274882	+	0.176656i
$149$	2.59060	−	18.0181i	0.212231	−	1.47610i	−0.553454	−	0.832880i	$-0.686690\pi$
$149$	2.59060	−	18.0181i	0.212231	−	1.47610i	0.765684	−	0.643217i	$-0.222400\pi$
$150$	−0.543847	+	3.78254i	−0.0444050	+	0.308843i
$151$	−4.63376	−	2.97794i	−0.377090	−	0.242341i	0.338342	−	0.941023i	$-0.390134\pi$
$151$	−4.63376	−	2.97794i	−0.377090	−	0.242341i	−0.715432	+	0.698682i	$0.753770\pi$
$152$	0.233191	+	0.269117i	0.0189143	+	0.0218283i
$153$	−1.64406	−	3.59999i	−0.132914	−	0.291042i
$154$	−2.13702	+	1.37338i	−0.172206	+	0.110670i
$155$	−26.4957	−	7.77984i	−2.12819	−	0.624892i
$156$	−4.49825	+	5.19126i	−0.360148	+	0.415633i
$157$	−9.82344	+	2.88442i	−0.783996	+	0.230202i	−0.649146	−	0.760664i	$-0.724873\pi$
$157$	−9.82344	+	2.88442i	−0.783996	+	0.230202i	−0.134850	+	0.990866i	$0.543055\pi$
$158$	6.85790	−	15.0167i	0.545586	−	1.19467i
$159$	1.75347	+	12.1957i	0.139059	+	0.967179i
$160$	−2.97009			−0.234806
$161$	−1.53070	+	4.54499i	−0.120636	+	0.358196i
$162$	−1.00000			−0.0785674
$163$	−2.49231	−	17.3344i	−0.195213	−	1.35774i	−0.817943	−	0.575299i	$-0.804886\pi$
$163$	−2.49231	−	17.3344i	−0.195213	−	1.35774i	0.622730	−	0.782437i	$-0.286024\pi$
$164$	−0.908141	+	1.98855i	−0.0709139	+	0.155280i
$165$	−7.23924	+	2.12563i	−0.563574	+	0.165480i
$166$	6.34741	−	7.32530i	0.492654	−	0.568553i
$167$	−10.6672	−	3.13217i	−0.825452	−	0.242375i	−0.158390	−	0.987377i	$-0.550630\pi$
$167$	−10.6672	−	3.13217i	−0.825452	−	0.242375i	−0.667062	+	0.745002i	$0.732448\pi$
$168$	−0.841254	+	0.540641i	−0.0649041	+	0.0417113i
$169$	14.2003	+	31.0943i	1.09233	+	2.39187i
$170$	−7.69757	−	8.88347i	−0.590377	−	0.681331i
$171$	0.299564	+	0.192518i	0.0229083	+	0.0147222i
$172$	0.643054	−	4.47254i	0.0490324	−	0.341028i
$173$	−3.59969	+	25.0364i	−0.273679	+	1.90348i	0.135074	+	0.990836i	$0.456873\pi$
$173$	−3.59969	+	25.0364i	−0.273679	+	1.90348i	−0.408753	+	0.912645i	$0.634036\pi$
$174$	4.79842	+	3.08376i	0.363767	+	0.233779i
$175$	2.50251	+	2.88805i	0.189172	+	0.218316i
$176$	−1.05527	−	2.31072i	−0.0795440	−	0.174177i
$177$	5.59992	−	3.59885i	0.420916	−	0.270506i
$178$	8.80819	+	2.58632i	0.660202	+	0.193853i
$179$	14.8857	−	17.1790i	1.11261	−	1.28402i	0.157583	−	0.987506i	$-0.449630\pi$
$179$	14.8857	−	17.1790i	1.11261	−	1.28402i	0.955028	−	0.296516i	$-0.0958247\pi$
$180$	−2.84978	+	0.836771i	−0.212410	+	0.0623692i
$181$	0.355061	−	0.777475i	0.0263915	−	0.0577893i	−0.895977	−	0.444100i	$-0.853523\pi$
$181$	0.355061	−	0.777475i	0.0263915	−	0.0577893i	0.922369	+	0.386311i	$0.126251\pi$
$182$	0.977563	+	6.79910i	0.0724618	+	0.503983i
$183$	−0.731433			−0.0540691
$184$	−4.28089	−	2.16194i	−0.315591	−	0.159380i
$185$	11.8064			0.868027
$186$	−1.32317	−	9.20282i	−0.0970192	−	0.674783i
$187$	4.17637	−	9.14498i	0.305406	−	0.668747i
$188$	7.62286	−	2.23827i	0.555954	−	0.163243i
$189$	−0.654861	+	0.755750i	−0.0476341	+	0.0549727i
$190$	1.01479	+	0.297968i	0.0736204	+	0.0216169i
$191$	−14.6296	+	9.40188i	−1.05856	+	0.680296i	−0.949509	−	0.313740i	$-0.898418\pi$
$191$	−14.6296	+	9.40188i	−1.05856	+	0.680296i	−0.109053	+	0.994036i	$0.534782\pi$
$192$	−0.415415	−	0.909632i	−0.0299800	−	0.0656470i
$193$	6.80280	+	7.85085i	0.489676	+	0.565116i	0.945779	−	0.324811i	$-0.105301\pi$
$193$	6.80280	+	7.85085i	0.489676	+	0.565116i	−0.456103	+	0.889927i	$0.650755\pi$
$194$	−8.60319	−	5.52893i	−0.617673	−	0.396954i
$195$	−2.90345	+	20.1939i	−0.207920	+	1.44612i
$196$	−0.142315	+	0.989821i	−0.0101653	+	0.0707015i
$197$	2.81398	+	1.80844i	0.200488	+	0.128846i	0.637033	−	0.770837i	$-0.280162\pi$
$197$	2.81398	+	1.80844i	0.200488	+	0.128846i	−0.436545	+	0.899683i	$0.643798\pi$
$198$	−1.66353	−	1.91982i	−0.118222	−	0.136435i
$199$	1.57925	+	3.45808i	0.111950	+	0.245137i	0.957312	−	0.289058i	$-0.0933421\pi$
$199$	1.57925	+	3.45808i	0.111950	+	0.245137i	−0.845361	+	0.534195i	$0.820615\pi$
$200$	−3.21480	+	2.06603i	−0.227321	+	0.146090i
$201$	6.11369	+	1.79514i	0.431227	+	0.126620i
$202$	1.07295	−	1.23825i	0.0754923	−	0.0871228i
$203$	5.47284	−	1.60697i	0.384118	−	0.112787i
$204$	1.64406	−	3.59999i	0.115107	−	0.252049i
$205$	0.924041	+	6.42684i	0.0645378	+	0.448870i
$206$	5.44205			0.379165
$207$	−4.71657	−	0.868302i	−0.327824	−	0.0603511i
$208$	−6.86902			−0.476281
$209$	0.128735	+	0.895369i	0.00890476	+	0.0619339i
$210$	−1.23382	+	2.70169i	−0.0851417	+	0.186434i
$211$	−15.7030	+	4.61083i	−1.08104	+	0.317423i	−0.773296	−	0.634046i	$-0.781393\pi$
$211$	−15.7030	+	4.61083i	−1.08104	+	0.317423i	−0.307747	+	0.951468i	$0.599575\pi$
$212$	−8.06859	+	9.31165i	−0.554153	+	0.639527i
$213$	10.6323	+	3.12191i	0.728511	+	0.213910i
$214$	−7.12425	+	4.57848i	−0.487004	+	0.312978i
$215$	−5.57506	−	12.2077i	−0.380216	−	0.832556i
$216$	−0.654861	−	0.755750i	−0.0445576	−	0.0514222i
$217$	−7.82152	−	5.02658i	−0.530959	−	0.341227i
$218$	2.07079	−	14.4026i	0.140251	−	0.975469i
$219$	−0.382301	+	2.65896i	−0.0258335	+	0.179676i
$220$	−6.34714	−	4.07906i	−0.427924	−	0.275010i
$221$	−17.8024	−	20.5451i	−1.19752	−	1.38201i
$222$	1.65132	+	3.61589i	0.110829	+	0.242683i
$223$	−13.3704	+	8.59261i	−0.895345	+	0.575403i	−0.905406	−	0.424546i	$-0.860434\pi$
$223$	−13.3704	+	8.59261i	−0.895345	+	0.575403i	0.0100611	+	0.999949i	$0.496797\pi$
$224$	−0.959493	−	0.281733i	−0.0641088	−	0.0188240i
$225$	−2.50251	+	2.88805i	−0.166834	+	0.192537i
$226$	−11.1140	+	3.26336i	−0.739292	+	0.217076i
$227$	−4.97377	+	10.8910i	−0.330121	+	0.722864i	−0.999804	−	0.0197826i	$-0.993703\pi$
$227$	−4.97377	+	10.8910i	−0.330121	+	0.722864i	0.669683	+	0.742647i	$0.266430\pi$
$228$	0.0506773	+	0.352468i	0.00335619	+	0.0233428i
$229$	15.9738			1.05558			0.527789	−	0.849375i	$-0.323021\pi$
$229$	15.9738			1.05558			0.527789	+	0.849375i	$0.323021\pi$
$230$	−14.1678	+	1.47222i	−0.934195	+	0.0970755i
$231$	−2.54028			−0.167138
$232$	0.811749	+	5.64584i	0.0532939	+	0.370667i
$233$	−8.13117	+	17.8048i	−0.532690	+	1.16643i	0.431717	+	0.902009i	$0.357908\pi$
$233$	−8.13117	+	17.8048i	−0.532690	+	1.16643i	−0.964408	+	0.264420i	$0.914819\pi$
$234$	−6.59077	+	1.93523i	−0.430852	+	0.126510i
$235$	15.4524	−	17.8330i	1.00800	−	1.16330i
$236$	6.38700	+	1.87539i	0.415758	+	0.122078i
$237$	13.8879	−	8.92520i	0.902115	−	0.579754i
$238$	−1.64406	−	3.59999i	−0.106568	−	0.233352i
$239$	−8.67594	−	10.0126i	−0.561200	−	0.647659i	0.402256	−	0.915527i	$-0.368226\pi$
$239$	−8.67594	−	10.0126i	−0.561200	−	0.647659i	−0.963456	+	0.267868i	$0.913681\pi$
$240$	−2.49860	−	1.60575i	−0.161284	−	0.103651i
$241$	−1.79487	+	12.4836i	−0.115618	+	0.804139i	0.846673	+	0.532114i	$0.178602\pi$
$241$	−1.79487	+	12.4836i	−0.115618	+	0.804139i	−0.962290	+	0.272024i	$0.912307\pi$
$242$	−0.647102	+	4.50069i	−0.0415973	+	0.289315i
$243$	−0.841254	−	0.540641i	−0.0539664	−	0.0346821i
$244$	−0.478986	−	0.552780i	−0.0306640	−	0.0353881i
$245$	1.23382	+	2.70169i	0.0788259	+	0.172605i
$246$	−1.83907	+	1.18190i	−0.117255	+	0.0753551i
$247$	2.34693	+	0.689120i	0.149331	+	0.0438477i
$248$	6.08854	−	7.02655i	0.386623	−	0.446186i
$249$	9.30013	−	2.73077i	0.589372	−	0.173055i
$250$	1.45413	−	3.18411i	0.0919674	−	0.201381i
$251$	−0.112552	−	0.782816i	−0.00710421	−	0.0494109i	0.985961	−	0.166976i	$-0.0534002\pi$
$251$	−0.112552	−	0.782816i	−0.00710421	−	0.0494109i	−0.993065	+	0.117565i	$0.962491\pi$
$252$	−1.00000			−0.0629941
$253$	−6.17918	−	10.4994i	−0.388482	−	0.660091i
$254$	−4.99070			−0.313144
$255$	−1.67284	−	11.6349i	−0.104757	−	0.728604i
$256$	0.415415	−	0.909632i	0.0259634	−	0.0568520i
$257$	17.8666	−	5.24609i	1.11449	−	0.327242i	0.327893	−	0.944715i	$-0.393662\pi$
$257$	17.8666	−	5.24609i	1.11449	−	0.327242i	0.786592	+	0.617473i	$0.211843\pi$
$258$	2.95901	−	3.41488i	0.184220	−	0.212601i
$259$	3.81409	+	1.11992i	0.236996	+	0.0695884i
$260$	−17.1629	+	11.0299i	−1.06440	+	0.684048i
$261$	2.36948	+	5.18844i	0.146667	+	0.321157i
$262$	11.2718	+	13.0084i	0.696377	+	0.803662i
$263$	−10.4448	−	6.71249i	−0.644057	−	0.413910i	0.177433	−	0.984133i	$-0.443221\pi$
$263$	−10.4448	−	6.71249i	−0.644057	−	0.413910i	−0.821490	+	0.570223i	$0.806857\pi$
$264$	0.361520	−	2.51442i	0.0222500	−	0.154752i
$265$	−5.20797	+	36.2222i	−0.319923	+	2.22511i
$266$	0.299564	+	0.192518i	0.0183675	+	0.0118041i
$267$	6.01165	+	6.93782i	0.367907	+	0.424588i
$268$	2.64694	+	5.79599i	0.161688	+	0.354046i
$269$	2.35768	−	1.51519i	0.143750	−	0.0923826i	−0.466789	−	0.884369i	$-0.654589\pi$
$269$	2.35768	−	1.51519i	0.143750	−	0.0923826i	0.610539	+	0.791986i	$0.290953\pi$
$270$	−2.84978	−	0.836771i	−0.173432	−	0.0509243i
$271$	−0.193561	+	0.223381i	−0.0117580	+	0.0135694i	−0.761598	−	0.648050i	$-0.775585\pi$
$271$	−0.193561	+	0.223381i	−0.0117580	+	0.0135694i	0.749840	+	0.661619i	$0.230130\pi$
$272$	3.79732	−	1.11499i	0.230246	−	0.0676064i
$273$	−2.85349	+	6.24828i	−0.172701	+	0.378163i
$274$	−1.58602	−	11.0310i	−0.0958150	−	0.666408i
$275$	−9.70753			−0.585386
$276$	−2.43248	−	4.13316i	−0.146418	−	0.248787i
$277$	−13.6572			−0.820584			−0.410292	−	0.911954i	$-0.634573\pi$
$277$	−13.6572			−0.820584			−0.410292	+	0.911954i	$0.634573\pi$
$278$	−1.60191	−	11.1415i	−0.0960761	−	0.668224i
$279$	3.86230	−	8.45726i	0.231230	−	0.506323i
$280$	−2.84978	+	0.836771i	−0.170307	+	0.0500066i
$281$	15.2940	−	17.6502i	0.912363	−	1.05292i	−0.0860325	−	0.996292i	$-0.527419\pi$
$281$	15.2940	−	17.6502i	0.912363	−	1.05292i	0.998395	−	0.0566303i	$-0.0180356\pi$
$282$	7.62286	+	2.23827i	0.453935	+	0.133287i
$283$	−18.6251	+	11.9697i	−1.10715	+	0.711522i	−0.960670	−	0.277692i	$-0.910431\pi$
$283$	−18.6251	+	11.9697i	−1.10715	+	0.711522i	−0.146480	+	0.989214i	$0.546794\pi$
$284$	4.60327	+	10.0797i	0.273154	+	0.598123i
$285$	0.692599	+	0.799302i	0.0410260	+	0.0473466i
$286$	−14.6792	−	9.43377i	−0.868001	−	0.557830i
$287$	−0.311115	+	2.16385i	−0.0183646	+	0.127728i
$288$	0.142315	−	0.989821i	0.00838598	−	0.0583258i
$289$	−1.12490	−	0.722928i	−0.0661705	−	0.0425252i
$290$	11.0940	+	12.8032i	0.651465	+	0.751831i
$291$	−4.24830	−	9.30247i	−0.249040	−	0.545320i
$292$	−2.25987	+	1.45233i	−0.132249	+	0.0849910i
$293$	−8.46284	−	2.48491i	−0.494404	−	0.145170i	0.0250195	−	0.999687i	$-0.492035\pi$
$293$	−8.46284	−	2.48491i	−0.494404	−	0.145170i	−0.519424	+	0.854517i	$0.673853\pi$
$294$	−0.654861	+	0.755750i	−0.0381923	+	0.0440762i
$295$	18.9700	−	5.57008i	1.10447	−	0.324303i
$296$	−1.65132	+	3.61589i	−0.0959811	+	0.210169i
$297$	−0.361520	−	2.51442i	−0.0209775	−	0.145902i
$298$	18.2033			1.05449
$299$	−32.7662	+	3.40485i	−1.89492	+	0.196908i
$300$	−3.82144			−0.220631
$301$	−0.643054	−	4.47254i	−0.0370650	−	0.257793i
$302$	2.28817	−	5.01040i	0.131670	−	0.288316i
$303$	1.57207	−	0.461601i	0.0903129	−	0.0265183i
$304$	−0.233191	+	0.269117i	−0.0133744	+	0.0154349i
$305$	−2.08442	−	0.612042i	−0.119354	−	0.0350454i
$306$	3.32937	−	2.13966i	0.190327	−	0.122316i
$307$	5.60165	+	12.2659i	0.319703	+	0.700052i	0.999442	−	0.0334018i	$-0.0106341\pi$
$307$	5.60165	+	12.2659i	0.319703	+	0.700052i	−0.679739	+	0.733454i	$0.737907\pi$
$308$	−1.66353	−	1.91982i	−0.0947884	−	0.109392i
$309$	4.57814	+	2.94219i	0.260441	+	0.167376i
$310$	3.92992	−	27.3332i	0.223205	−	1.55242i
$311$	−0.758665	+	5.27663i	−0.0430199	+	0.299210i	0.956940	+	0.290285i	$0.0937501\pi$
$311$	−0.758665	+	5.27663i	−0.0430199	+	0.299210i	−0.999960	+	0.00892518i	$0.997159\pi$
$312$	−5.77858	−	3.71367i	−0.327148	−	0.210245i
$313$	−5.07932	−	5.86185i	−0.287100	−	0.331331i	0.593818	−	0.804599i	$-0.297620\pi$
$313$	−5.07932	−	5.86185i	−0.287100	−	0.331331i	−0.880919	+	0.473268i	$0.843074\pi$
$314$	−4.25308	−	9.31295i	−0.240015	−	0.525560i
$315$	−2.49860	+	1.60575i	−0.140780	+	0.0904739i
$316$	15.8398	+	4.65100i	0.891061	+	0.261639i
$317$	13.9141	−	16.0578i	0.781496	−	0.901895i	−0.215720	−	0.976455i	$-0.569210\pi$
$317$	13.9141	−	16.0578i	0.781496	−	0.901895i	0.997216	+	0.0745606i	$0.0237554\pi$
$318$	−11.8220	+	3.47125i	−0.662944	+	0.194658i
$319$	−6.01915	+	13.1801i	−0.337008	+	0.737944i
$320$	−0.422688	−	2.93986i	−0.0236290	−	0.164343i
$321$	−8.46862			−0.472672
$322$	−4.71657	−	0.868302i	−0.262844	−	0.0483886i
$323$	−1.40928			−0.0784146
$324$	−0.142315	−	0.989821i	−0.00790638	−	0.0549901i
$325$	−10.9044	+	23.8774i	−0.604870	+	1.32448i
$326$	16.8033	−	4.93389i	0.930648	−	0.273263i
$327$	9.52871	−	10.9967i	0.526939	−	0.608120i
$328$	−2.09755	−	0.615897i	−0.115818	−	0.0340072i
$329$	6.68349	−	4.29522i	0.368473	−	0.236803i
$330$	−3.13425	−	6.86305i	−0.172535	−	0.377798i
$331$	−10.2167	−	11.7907i	−0.561561	−	0.648076i	0.401976	−	0.915650i	$-0.368323\pi$
$331$	−10.2167	−	11.7907i	−0.561561	−	0.648076i	−0.963537	+	0.267574i	$0.913778\pi$
$332$	8.15407	+	5.24030i	0.447513	+	0.287599i
$333$	−0.565718	+	3.93465i	−0.0310011	+	0.215618i
$334$	1.58219	−	11.0044i	0.0865735	−	0.602132i
$335$	15.9206	+	10.2315i	0.869833	+	0.559008i
$336$	−0.654861	−	0.755750i	−0.0357256	−	0.0412295i
$337$	−0.999236	−	2.18802i	−0.0544319	−	0.119189i	0.880462	−	0.474117i	$-0.157233\pi$
$337$	−0.999236	−	2.18802i	−0.0544319	−	0.119189i	−0.934894	+	0.354928i	$0.884505\pi$
$338$	−28.7569	+	18.4809i	−1.56417	+	1.00523i
$339$	−11.1140	−	3.26336i	−0.603629	−	0.177241i
$340$	7.69757	−	8.88347i	0.417459	−	0.481774i
$341$	22.6614	−	6.65400i	1.22719	−	0.360334i
$342$	−0.147926	+	0.323914i	−0.00799894	+	0.0175152i
$343$	0.142315	+	0.989821i	0.00768428	+	0.0534453i
$344$	4.51853			0.243623
$345$	−12.7146	−	6.42116i	−0.684533	−	0.345704i
$346$	−25.2938			−1.35980
$347$	3.36732	+	23.4203i	0.180767	+	1.25727i	0.854954	+	0.518704i	$0.173585\pi$
$347$	3.36732	+	23.4203i	0.180767	+	1.25727i	−0.674186	+	0.738561i	$0.735506\pi$
$348$	−2.36948	+	5.18844i	−0.127018	+	0.278130i
$349$	19.2684	−	5.65772i	1.03142	−	0.302851i	0.278129	−	0.960544i	$-0.410286\pi$
$349$	19.2684	−	5.65772i	1.03142	−	0.302851i	0.753286	+	0.657693i	$0.228467\pi$
$350$	−2.50251	+	2.88805i	−0.133765	+	0.154373i
$351$	−6.59077	−	1.93523i	−0.351789	−	0.103295i
$352$	2.13702	−	1.37338i	0.113904	−	0.0732014i
$353$	0.444869	+	0.974126i	0.0236780	+	0.0518475i	0.921101	−	0.389323i	$-0.127291\pi$
$353$	0.444869	+	0.974126i	0.0236780	+	0.0518475i	−0.897424	+	0.441170i	$0.854564\pi$
$354$	4.35917	+	5.03075i	0.231687	+	0.267381i
$355$	27.6873	+	17.7935i	1.46949	+	0.944383i
$356$	−1.30646	+	9.08661i	−0.0692421	+	0.481589i
$357$	0.563229	−	3.91735i	0.0298093	−	0.207328i
$358$	19.1226	+	12.2894i	1.01066	+	0.649514i
$359$	10.8582	+	12.5310i	0.573073	+	0.661361i	0.966101	−	0.258165i	$-0.0831179\pi$
$359$	10.8582	+	12.5310i	0.573073	+	0.661361i	−0.393028	+	0.919527i	$0.628572\pi$
$360$	−1.23382	−	2.70169i	−0.0650280	−	0.142392i
$361$	−15.8771	+	10.2036i	−0.835639	+	0.537033i
$362$	0.820092	+	0.240801i	0.0431031	+	0.0126562i
$363$	−2.97763	+	3.43637i	−0.156285	+	0.180363i
$364$	−6.59077	+	1.93523i	−0.345450	+	0.101433i
$365$	−3.31442	+	7.25757i	−0.173485	+	0.379878i
$366$	−0.104094	−	0.723988i	−0.00544107	−	0.0378434i
$367$	−19.1824			−1.00132			−0.500658	−	0.865645i	$-0.666908\pi$
$367$	−19.1824			−1.00132			−0.500658	+	0.865645i	$0.666908\pi$
$368$	1.53070	−	4.54499i	0.0797933	−	0.236924i
$369$	−2.18611			−0.113804
$370$	1.68023	+	11.6863i	0.0873511	+	0.607541i
$371$	−5.11836	+	11.2076i	−0.265732	+	0.581872i
$372$	8.92084	−	2.61940i	0.462524	−	0.135809i
$373$	−20.0121	+	23.0952i	−1.03619	+	1.19582i	−0.0558588	+	0.998439i	$0.517790\pi$
$373$	−20.0121	+	23.0952i	−1.03619	+	1.19582i	−0.980326	+	0.197383i	$0.936756\pi$
$374$	9.64625	+	2.83240i	0.498796	+	0.146460i
$375$	2.94475	−	1.89248i	0.152066	−	0.0977271i
$376$	3.30034	+	7.22673i	0.170202	+	0.372690i
$377$	25.6575	+	29.6104i	1.32143	+	1.52501i
$378$	−0.841254	−	0.540641i	−0.0432694	−	0.0278076i
$379$	4.84239	−	33.6796i	0.248737	−	1.73000i	−0.356796	−	0.934182i	$-0.616131\pi$
$379$	4.84239	−	33.6796i	0.248737	−	1.73000i	0.605533	−	0.795820i	$-0.292960\pi$
$380$	−0.150516	+	1.04686i	−0.00772132	+	0.0537029i
$381$	−4.19845	−	2.69818i	−0.215093	−	0.138232i
$382$	−11.3882	−	13.1427i	−0.582671	−	0.672438i
$383$	−12.4420	−	27.2443i	−0.635759	−	1.39212i	−0.903484	−	0.428622i	$-0.858999\pi$
$383$	−12.4420	−	27.2443i	−0.635759	−	1.39212i	0.267726	−	0.963495i	$-0.413728\pi$
$384$	0.841254	−	0.540641i	0.0429300	−	0.0275895i
$385$	−7.23924	−	2.12563i	−0.368946	−	0.108332i
$386$	−6.80280	+	7.85085i	−0.346253	+	0.399597i
$387$	4.33550	−	1.27302i	0.220386	−	0.0647111i
$388$	4.24830	−	9.30247i	0.215675	−	0.472261i
$389$	1.17962	+	8.20445i	0.0598092	+	0.415982i	0.997627	+	0.0688537i	$0.0219342\pi$
$389$	1.17962	+	8.20445i	0.0598092	+	0.415982i	−0.937818	+	0.347129i	$0.887157\pi$
$390$	−20.4016			−1.03308
$391$	17.5611	−	7.20095i	0.888102	−	0.364167i
$392$	−1.00000			−0.0505076
$393$	2.44961	+	17.0374i	0.123566	+	0.859422i
$394$	−1.38956	+	3.04271i	−0.0700050	+	0.153289i
$395$	47.0458	−	13.8139i	2.36713	−	0.695052i
$396$	1.66353	−	1.91982i	0.0835955	−	0.0964744i
$397$	26.7998	+	7.86914i	1.34504	+	0.394941i	0.873467	−	0.486884i	$-0.161866\pi$
$397$	26.7998	+	7.86914i	1.34504	+	0.394941i	0.471578	+	0.881824i	$0.343685\pi$
$398$	−3.19813	+	2.05531i	−0.160308	+	0.103024i
$399$	0.147926	+	0.323914i	0.00740558	+	0.0162160i
$400$	−2.50251	−	2.88805i	−0.125126	−	0.144403i
$401$	−2.12260	−	1.36411i	−0.105998	−	0.0681205i	0.486568	−	0.873643i	$-0.338249\pi$
$401$	−2.12260	−	1.36411i	−0.105998	−	0.0681205i	−0.592566	+	0.805522i	$0.701885\pi$
$402$	−0.906801	+	6.30694i	−0.0452271	+	0.314562i
$403$	9.08885	−	63.2143i	0.452748	−	3.14893i
$404$	1.37834	+	0.885805i	0.0685750	+	0.0440705i
$405$	−1.94500	−	2.24464i	−0.0966476	−	0.111537i
$406$	2.36948	+	5.18844i	0.117595	+	0.257498i
$407$	−8.49490	+	5.45934i	−0.421076	+	0.270609i
$408$	3.79732	+	1.11499i	0.187995	+	0.0552004i
$409$	19.7789	−	22.8261i	0.978003	−	1.12868i	−0.0136715	−	0.999907i	$-0.504352\pi$
$409$	19.7789	−	22.8261i	0.978003	−	1.12868i	0.991675	−	0.128769i	$-0.0411026\pi$
$410$	−6.22992	+	1.82927i	−0.307674	+	0.0903412i
$411$	4.62957	−	10.1373i	0.228360	−	0.500038i
$412$	0.774484	+	5.38666i	0.0381561	+	0.265382i
$413$	6.65664			0.327552
$414$	0.188225	−	4.79214i	0.00925077	−	0.235521i
$415$	28.7884			1.41317
$416$	−0.977563	−	6.79910i	−0.0479290	−	0.333353i
$417$	4.67595	−	10.2389i	0.228982	−	0.501401i
$418$	−0.867934	+	0.254848i	−0.0424521	+	0.0124650i
$419$	−5.04829	+	5.82603i	−0.246625	+	0.284620i	−0.865542	−	0.500836i	$-0.833026\pi$
$419$	−5.04829	+	5.82603i	−0.246625	+	0.284620i	0.618917	+	0.785456i	$0.287572\pi$
$420$	−2.84978	−	0.836771i	−0.139055	−	0.0408303i
$421$	6.32065	−	4.06203i	0.308050	−	0.197971i	−0.377477	−	0.926019i	$-0.623208\pi$
$421$	6.32065	−	4.06203i	0.308050	−	0.197971i	0.685527	+	0.728047i	$0.259572\pi$
$422$	−6.79868	−	14.8870i	−0.330954	−	0.724689i
$423$	5.20266	+	6.00419i	0.252962	+	0.291934i
$424$	−10.3651	−	6.66128i	−0.503376	−	0.323500i
$425$	2.15235	−	14.9699i	0.104404	−	0.726147i
$426$	−1.57701	+	10.9683i	−0.0764063	+	0.531418i
$427$	−0.615320	−	0.395442i	−0.0297774	−	0.0191368i
$428$	−5.54576	−	6.40015i	−0.268065	−	0.309363i
$429$	−7.24867	−	15.8724i	−0.349969	−	0.766326i
$430$	11.2900	−	7.25564i	0.544452	−	0.349898i
$431$	17.1210	+	5.02719i	0.824691	+	0.242151i	0.666735	−	0.745295i	$-0.267691\pi$
$431$	17.1210	+	5.02719i	0.824691	+	0.242151i	0.157956	+	0.987446i	$0.449509\pi$
$432$	0.654861	−	0.755750i	0.0315070	−	0.0363610i
$433$	−2.40614	+	0.706505i	−0.115632	+	0.0339525i	−0.339036	−	0.940773i	$-0.610101\pi$
$433$	−2.40614	+	0.706505i	−0.115632	+	0.0339525i	0.223405	+	0.974726i	$0.428283\pi$
$434$	3.86230	−	8.45726i	0.185396	−	0.405962i
$435$	2.41097	+	16.7686i	0.115597	+	0.803995i
$436$	14.5507			0.696854
$437$	−0.978960	+	1.39932i	−0.0468300	+	0.0669384i
$438$	−2.68631			−0.128357
$439$	−1.32165	−	9.19230i	−0.0630791	−	0.438725i	−0.996748	−	0.0805864i	$-0.974321\pi$
$439$	−1.32165	−	9.19230i	−0.0630791	−	0.438725i	0.933669	−	0.358138i	$-0.116588\pi$
$440$	3.13425	−	6.86305i	0.149419	−	0.327183i
$441$	−0.959493	+	0.281733i	−0.0456901	+	0.0134158i
$442$	17.8024	−	20.5451i	0.846774	−	0.977229i
$443$	12.7412	+	3.74116i	0.605354	+	0.177748i	0.570024	−	0.821628i	$-0.306934\pi$
$443$	12.7412	+	3.74116i	0.605354	+	0.177748i	0.0353293	+	0.999376i	$0.488752\pi$
$444$	−3.34408	+	2.14911i	−0.158703	+	0.101992i
$445$	11.3265	+	24.8016i	0.536929	+	1.17571i
$446$	−10.4079	−	12.0114i	−0.492831	−	0.568757i
$447$	15.3136	+	9.84147i	0.724309	+	0.465485i
$448$	0.142315	−	0.989821i	0.00672374	−	0.0467647i
$449$	−3.66854	+	25.5153i	−0.173129	+	1.20414i	0.699093	+	0.715031i	$0.253587\pi$
$449$	−3.66854	+	25.5153i	−0.173129	+	1.20414i	−0.872222	+	0.489110i	$0.837322\pi$
$450$	−3.21480	−	2.06603i	−0.151547	−	0.0973934i
$451$	−3.63665	−	4.19692i	−0.171243	−	0.197625i
$452$	−4.81183	−	10.5364i	−0.226329	−	0.495592i
$453$	4.63376	−	2.97794i	0.217713	−	0.139916i
$454$	−11.4880	−	3.37319i	−0.539160	−	0.158312i
$455$	−13.3602	+	15.4185i	−0.626336	+	0.722831i
$456$	−0.341669	+	0.100323i	−0.0160001	+	0.00469805i
$457$	−2.64320	+	5.78780i	−0.123644	+	0.270742i	−0.961325	−	0.275418i	$-0.911184\pi$
$457$	−2.64320	+	5.78780i	−0.123644	+	0.270742i	0.837681	+	0.546160i	$0.183911\pi$
$458$	2.27331	+	15.8112i	0.106225	+	0.738810i
$459$	3.95763			0.184726
$460$	−3.47352	−	13.8140i	−0.161954	−	0.644083i
$461$	23.0039			1.07140			0.535699	−	0.844409i	$-0.320048\pi$
$461$	23.0039			1.07140			0.535699	+	0.844409i	$0.320048\pi$
$462$	−0.361520	−	2.51442i	−0.0168194	−	0.116982i
$463$	−12.2267	+	26.7727i	−0.568222	+	1.24423i	0.379517	+	0.925185i	$0.376090\pi$
$463$	−12.2267	+	26.7727i	−0.568222	+	1.24423i	−0.947739	+	0.319048i	$0.896637\pi$
$464$	−5.47284	+	1.60697i	−0.254070	+	0.0746018i
$465$	18.0835	−	20.8695i	0.838603	−	0.967799i
$466$	−18.7807	−	5.51452i	−0.870001	−	0.255455i
$467$	−29.1393	+	18.7267i	−1.34840	+	0.866567i	−0.997556	−	0.0698657i	$-0.977743\pi$
$467$	−29.1393	+	18.7267i	−1.34840	+	0.866567i	−0.350848	+	0.936432i	$0.614107\pi$
$468$	−2.85349	−	6.24828i	−0.131903	−	0.288827i
$469$	4.17264	+	4.81548i	0.192675	+	0.222358i
$470$	19.8506	+	12.7572i	0.915638	+	0.588445i
$471$	1.45704	−	10.1339i	0.0671369	−	0.466948i
$472$	−0.947339	+	6.58888i	−0.0436048	+	0.303278i
$473$	9.65620	+	6.20566i	0.443992	+	0.285337i
$474$	10.8108	+	12.4763i	0.496557	+	0.573057i
$475$	0.565291	+	1.23782i	0.0259373	+	0.0567949i
$476$	3.32937	−	2.13966i	0.152601	−	0.0980710i
$477$	−11.8220	−	3.47125i	−0.541291	−	0.158938i
$478$	8.67594	−	10.0126i	0.396828	−	0.457964i
$479$	−8.44425	+	2.47946i	−0.385828	+	0.113289i	−0.468893	−	0.883255i	$-0.655347\pi$
$479$	−8.44425	+	2.47946i	−0.385828	+	0.113289i	0.0830656	+	0.996544i	$0.473529\pi$
$480$	1.23382	−	2.70169i	0.0563159	−	0.123315i
$481$	3.88592	+	27.0272i	0.177183	+	1.23233i
$482$	−12.6120			−0.574459
$483$	−3.49839	−	3.28043i	−0.159182	−	0.149265i
$484$	−4.54697			−0.206681
$485$	−4.32267	−	30.0649i	−0.196283	−	1.36517i
$486$	0.415415	−	0.909632i	0.0188436	−	0.0412617i
$487$	41.0207	−	12.0448i	1.85882	−	0.545800i	0.859421	−	0.511269i	$-0.170824\pi$
$487$	41.0207	−	12.0448i	1.85882	−	0.545800i	0.999404	−	0.0345312i	$-0.0109938\pi$
$488$	0.478986	−	0.552780i	0.0216827	−	0.0250232i
$489$	16.8033	+	4.93389i	0.759871	+	0.223118i
$490$	−2.49860	+	1.60575i	−0.112875	+	0.0725405i
$491$	−4.49743	−	9.84800i	−0.202966	−	0.444434i	0.780588	−	0.625046i	$-0.214920\pi$
$491$	−4.49743	−	9.84800i	−0.202966	−	0.444434i	−0.983555	+	0.180612i	$0.942192\pi$
$492$	−1.43159	−	1.65215i	−0.0645413	−	0.0744846i
$493$	−18.9904	−	12.2044i	−0.855283	−	0.549657i
$494$	−0.348103	+	2.42111i	−0.0156619	+	0.108931i
$495$	1.07375	−	7.46807i	0.0482613	−	0.335665i
$496$	7.82152	+	5.02658i	0.351196	+	0.225700i
$497$	7.25659	+	8.37456i	0.325503	+	0.375650i
$498$	4.02652	+	8.81684i	0.180433	+	0.395092i
$499$	13.9352	−	8.95559i	0.623824	−	0.400907i	−0.190194	−	0.981746i	$-0.560912\pi$
$499$	13.9352	−	8.95559i	0.623824	−	0.400907i	0.814018	+	0.580839i	$0.197275\pi$
$500$	3.35864	+	0.986186i	0.150203	+	0.0441036i
$501$	7.28043	−	8.40207i	0.325266	−	0.375377i
$502$	0.758830	−	0.222813i	0.0338682	−	0.00994461i
$503$	−2.09692	+	4.59162i	−0.0934972	+	0.204730i	−0.950602	−	0.310411i	$-0.899533\pi$
$503$	−2.09692	+	4.59162i	−0.0934972	+	0.204730i	0.857105	+	0.515141i	$0.172261\pi$
$504$	−0.142315	−	0.989821i	−0.00633921	−	0.0440902i
$505$	4.86630			0.216548
$506$	9.51314	−	7.61051i	0.422911	−	0.338328i
$507$	−34.1834			−1.51814
$508$	−0.710251	−	4.93990i	−0.0315123	−	0.219173i
$509$	10.3213	−	22.6005i	0.457484	−	1.00175i	−0.530569	−	0.847642i	$-0.678022\pi$
$509$	10.3213	−	22.6005i	0.457484	−	1.00175i	0.988054	−	0.154110i	$-0.0492509\pi$
$510$	11.2784	−	3.31163i	0.499415	−	0.146641i
$511$	−1.75916	+	2.03018i	−0.0778205	+	0.0898097i
$512$	0.959493	+	0.281733i	0.0424040	+	0.0124509i
$513$	−0.299564	+	0.192518i	−0.0132261	+	0.00849989i
$514$	7.73537	+	16.9381i	0.341193	+	0.747108i
$515$	10.5848	+	12.2155i	0.466420	+	0.538278i
$516$	3.80123	+	2.44290i	0.167340	+	0.107543i
$517$	−2.87216	+	19.9763i	−0.126317	+	0.878556i
$518$	−0.565718	+	3.93465i	−0.0248562	+	0.172879i
$519$	−21.2785	−	13.6749i	−0.934024	−	0.600261i
$520$	−13.3602	−	15.4185i	−0.585884	−	0.676146i
$521$	16.0892	+	35.2304i	0.704880	+	1.54347i	0.833952	+	0.551836i	$0.186073\pi$
$521$	16.0892	+	35.2304i	0.704880	+	1.54347i	−0.129073	+	0.991635i	$0.541200\pi$
$522$	−4.79842	+	3.08376i	−0.210021	+	0.134972i
$523$	−33.8593	−	9.94198i	−1.48056	−	0.434732i	−0.561046	−	0.827785i	$-0.689601\pi$
$523$	−33.8593	−	9.94198i	−1.48056	−	0.434732i	−0.919516	+	0.393052i	$0.871419\pi$
$524$	−11.2718	+	13.0084i	−0.492413	+	0.568275i
$525$	−3.66664	+	1.07662i	−0.160025	+	0.0469877i
$526$	5.15771	−	11.2938i	0.224887	−	0.492434i
$527$	5.23660	+	36.4214i	0.228110	+	1.58654i
$528$	2.54028			0.110552
$529$	5.04880	−	22.4390i	0.219513	−	0.975610i
$530$	−36.5947			−1.58957
$531$	0.947339	+	6.58888i	0.0411110	+	0.285933i
$532$	−0.147926	+	0.323914i	−0.00641342	+	0.0140434i
$533$	−14.4081	+	4.23061i	−0.624085	+	0.183248i
$534$	−6.01165	+	6.93782i	−0.260150	+	0.300229i
$535$	−24.1337	−	7.08630i	−1.04339	−	0.306367i
$536$	−5.36030	+	3.44485i	−0.231529	+	0.148795i
$537$	9.44285	+	20.6770i	0.407489	+	0.892277i
$538$	1.83530	+	2.11805i	0.0791253	+	0.0913155i
$539$	−2.13702	−	1.37338i	−0.0920480	−	0.0591556i
$540$	0.422688	−	2.93986i	0.0181896	−	0.126511i
$541$	−0.0720087	+	0.500832i	−0.00309590	+	0.0215324i	−0.991311	−	0.131540i	$-0.958008\pi$
$541$	−0.0720087	+	0.500832i	−0.00309590	+	0.0215324i	0.988215	+	0.153073i	$0.0489168\pi$
$542$	−0.248654	−	0.159800i	−0.0106806	−	0.00686401i
$543$	0.559719	+	0.645950i	0.0240198	+	0.0277204i
$544$	1.64406	+	3.59999i	0.0704884	+	0.154348i
$545$	36.3565	−	23.3649i	1.55734	−	1.00084i
$546$	−6.59077	−	1.93523i	−0.282059	−	0.0828200i
$547$	−8.70873	+	10.0504i	−0.372358	+	0.429724i	−0.910742	−	0.412975i	$-0.864490\pi$
$547$	−8.70873	+	10.0504i	−0.372358	+	0.429724i	0.538384	+	0.842700i	$0.319035\pi$
$548$	10.6930	−	3.13975i	0.456783	−	0.134124i
$549$	0.303848	−	0.665334i	0.0129679	−	0.0283958i
$550$	−1.38153	−	9.60872i	−0.0589084	−	0.409717i
$551$	2.03112			0.0865284
$552$	3.74492	−	2.99593i	0.159394	−	0.127515i
$553$	16.5086			0.702015
$554$	−1.94363	−	13.5182i	−0.0825768	−	0.574335i
$555$	−4.90458	+	10.7395i	−0.208188	+	0.455867i
$556$	10.8001	−	3.17121i	0.458028	−	0.134489i
$557$	7.38910	−	8.52747i	0.313086	−	0.361321i	−0.577296	−	0.816535i	$-0.695892\pi$
$557$	7.38910	−	8.52747i	0.313086	−	0.361321i	0.890382	+	0.455215i	$0.150437\pi$
$558$	8.92084	+	2.61940i	0.377649	+	0.110888i
$559$	26.1107	−	16.7803i	1.10437	−	0.709733i
$560$	−1.23382	−	2.70169i	−0.0521384	−	0.114167i
$561$	6.58364	+	7.59792i	0.277961	+	0.320784i
$562$	19.6471	+	12.6264i	0.828763	+	0.532614i
$563$	4.04545	−	28.1367i	0.170495	−	1.18582i	−0.707345	−	0.706869i	$-0.750107\pi$
$563$	4.04545	−	28.1367i	0.170495	−	1.18582i	0.877840	−	0.478953i	$-0.158984\pi$
$564$	−1.13065	+	7.86381i	−0.0476088	+	0.331126i
$565$	−28.9417	−	18.5997i	−1.21759	−	0.782497i
$566$	−14.4985	−	16.7321i	−0.609416	−	0.703303i
$567$	−0.415415	−	0.909632i	−0.0174458	−	0.0382010i
$568$	−9.32204	+	5.99091i	−0.391144	+	0.251373i
$569$	25.2585	+	7.41657i	1.05889	+	0.310919i	0.764405	−	0.644737i	$-0.223033\pi$
$569$	25.2585	+	7.41657i	1.05889	+	0.310919i	0.294487	+	0.955655i	$0.404851\pi$
$570$	−0.692599	+	0.799302i	−0.0290098	+	0.0334791i
$571$	−1.44071	+	0.423031i	−0.0602919	+	0.0177033i	−0.311739	−	0.950168i	$-0.600912\pi$
$571$	−1.44071	+	0.423031i	−0.0602919	+	0.0177033i	0.251448	+	0.967871i	$0.419093\pi$
$572$	7.24867	−	15.8724i	0.303082	−	0.663657i
$573$	−2.47489	−	17.2132i	−0.103390	−	0.719094i
$574$	−2.18611			−0.0912463
$575$	−13.3689	−	12.5360i	−0.557522	−	0.522786i
$576$	1.00000			0.0416667
$577$	−3.94335	−	27.4266i	−0.164164	−	1.14179i	−0.890678	−	0.454634i	$-0.849770\pi$
$577$	−3.94335	−	27.4266i	−0.164164	−	1.14179i	0.726514	−	0.687151i	$-0.241139\pi$
$578$	0.555480	−	1.21633i	0.0231049	−	0.0505927i
$579$	−9.96736	+	2.92668i	−0.414229	+	0.121629i
$580$	−11.0940	+	12.8032i	−0.460655	+	0.531624i
$581$	9.30013	+	2.73077i	0.385835	+	0.113291i
$582$	8.60319	−	5.52893i	0.356614	−	0.229182i
$583$	−13.0021	−	28.4706i	−0.538491	−	1.17913i
$584$	−1.75916	−	2.03018i	−0.0727944	−	0.0840093i
$585$	−17.1629	−	11.0299i	−0.709599	−	0.456032i
$586$	1.25523	−	8.73034i	0.0518532	−	0.360647i
$587$	−1.23088	+	8.56098i	−0.0508040	+	0.353349i	0.948524	+	0.316704i	$0.102576\pi$
$587$	−1.23088	+	8.56098i	−0.0508040	+	0.353349i	−0.999328	+	0.0366452i	$0.988333\pi$
$588$	−0.841254	−	0.540641i	−0.0346927	−	0.0222957i
$589$	−2.16809	−	2.50210i	−0.0893344	−	0.103097i
$590$	8.21310	+	17.9842i	0.338128	+	0.740397i
$591$	−2.81398	+	1.80844i	−0.115752	+	0.0743892i
$592$	−3.81409	−	1.11992i	−0.156758	−	0.0460284i
$593$	−23.4228	+	27.0314i	−0.961861	+	1.11005i	0.0320088	+	0.999488i	$0.489810\pi$
$593$	−23.4228	+	27.0314i	−0.961861	+	1.11005i	−0.993870	+	0.110559i	$0.964736\pi$
$594$	2.43738	−	0.715680i	0.100007	−	0.0293647i
$595$	4.88300	−	10.6923i	0.200184	−	0.438341i
$596$	2.59060	+	18.0181i	0.106115	+	0.738048i
$597$	−3.80162			−0.155590
$598$	−8.03332	−	31.9481i	−0.328507	−	1.30646i
$599$	−5.06301			−0.206869			−0.103435	−	0.994636i	$-0.532983\pi$
$599$	−5.06301			−0.206869			−0.103435	+	0.994636i	$0.532983\pi$
$600$	−0.543847	−	3.78254i	−0.0222025	−	0.154422i
$601$	8.31475	−	18.2068i	0.339166	−	0.742670i	−0.660803	−	0.750559i	$-0.729784\pi$
$601$	8.31475	−	18.2068i	0.339166	−	0.742670i	0.999969	+	0.00788966i	$0.00251138\pi$
$602$	4.33550	−	1.27302i	0.176702	−	0.0518843i
$603$	−4.17264	+	4.81548i	−0.169923	+	0.196102i
$604$	5.28505	+	1.55183i	0.215046	+	0.0631431i
$605$	−11.3611	+	7.30131i	−0.461893	+	0.296841i
$606$	0.680631	+	1.49037i	0.0276487	+	0.0605423i
$607$	15.4435	+	17.8227i	0.626831	+	0.723401i	0.976989	−	0.213289i	$-0.0684177\pi$
$607$	15.4435	+	17.8227i	0.626831	+	0.723401i	−0.350158	+	0.936691i	$0.613872\pi$
$608$	−0.299564	−	0.192518i	−0.0121489	−	0.00780765i
$609$	−0.811749	+	5.64584i	−0.0328937	+	0.228781i
$610$	0.309168	−	2.15031i	0.0125178	−	0.0870635i
$611$	45.9090	+	29.5039i	1.85728	+	1.19360i
$612$	2.59170	+	2.99098i	0.104763	+	0.120903i
$613$	−14.9519	−	32.7400i	−0.603900	−	1.32236i	−0.926669	−	0.375878i	$-0.877341\pi$
$613$	−14.9519	−	32.7400i	−0.603900	−	1.32236i	0.322770	−	0.946478i	$-0.395386\pi$
$614$	−11.3439	+	7.29026i	−0.457801	+	0.294211i
$615$	−6.22992	−	1.82927i	−0.251215	−	0.0737633i
$616$	1.66353	−	1.91982i	0.0670255	−	0.0773516i
$617$	−4.29264	+	1.26043i	−0.172815	+	0.0507431i	−0.366995	−	0.930223i	$-0.619614\pi$
$617$	−4.29264	+	1.26043i	−0.172815	+	0.0507431i	0.194180	+	0.980966i	$0.437795\pi$
$618$	−2.26071	+	4.95026i	−0.0909390	+	0.199129i
$619$	−0.386798	−	2.69024i	−0.0155467	−	0.108130i	0.980570	−	0.196167i	$-0.0628496\pi$
$619$	−0.386798	−	2.69024i	−0.0155467	−	0.108130i	−0.996117	+	0.0880375i	$0.971940\pi$
$620$	27.6143			1.10902
$621$	2.74917	−	3.92964i	0.110320	−	0.157691i
$622$	−5.33089			−0.213749
$623$	1.30646	+	9.08661i	0.0523421	+	0.364047i
$624$	2.85349	−	6.24828i	0.114231	−	0.250131i
$625$	28.3087	−	8.31218i	1.13235	−	0.332487i
$626$	5.07932	−	5.86185i	0.203010	−	0.234286i
$627$	−0.867934	−	0.254848i	−0.0346620	−	0.0101777i
$628$	8.61288	−	5.53516i	0.343691	−	0.220877i
$629$	−6.53532	−	14.3104i	−0.260580	−	0.570591i
$630$	−1.94500	−	2.24464i	−0.0774905	−	0.0894288i
$631$	−23.2495	−	14.9415i	−0.925547	−	0.594813i	−0.0112847	−	0.999936i	$-0.503592\pi$
$631$	−23.2495	−	14.9415i	−0.925547	−	0.594813i	−0.914262	+	0.405124i	$0.867228\pi$
$632$	−2.34941	+	16.3405i	−0.0934546	+	0.649991i
$633$	2.32912	−	16.1994i	0.0925743	−	0.643869i
$634$	17.8745	+	11.4873i	0.709888	+	0.456217i
$635$	−9.70689	−	11.2024i	−0.385206	−	0.444552i
$636$	−5.11836	−	11.2076i	−0.202956	−	0.444412i
$637$	−5.77858	+	3.71367i	−0.228956	+	0.147141i
$638$	−13.9026	−	4.08216i	−0.550408	−	0.161614i
$639$	−7.25659	+	8.37456i	−0.287066	+	0.331292i
$640$	2.84978	−	0.836771i	0.112647	−	0.0330763i
$641$	14.7205	−	32.2333i	0.581424	−	1.27314i	−0.359064	−	0.933313i	$-0.616904\pi$
$641$	14.7205	−	32.2333i	0.581424	−	1.27314i	0.940488	−	0.339827i	$-0.110369\pi$
$642$	−1.20521	−	8.38242i	−0.0475658	−	0.330828i
$643$	−41.4527			−1.63473			−0.817367	−	0.576118i	$-0.804567\pi$
$643$	−41.4527			−1.63473			−0.817367	+	0.576118i	$0.804567\pi$
$644$	0.188225	−	4.79214i	0.00741712	−	0.188837i
$645$	13.4205			0.528430
$646$	−0.200562	−	1.39494i	−0.00789101	−	0.0548832i
$647$	3.47567	−	7.61066i	0.136643	−	0.299206i	−0.828924	−	0.559361i	$-0.811047\pi$
$647$	3.47567	−	7.61066i	0.136643	−	0.299206i	0.965567	+	0.260155i	$0.0837738\pi$
$648$	0.959493	−	0.281733i	0.0376924	−	0.0110675i
$649$	−11.0735	+	12.7795i	−0.434674	+	0.501640i
$650$	−25.1862	−	7.39535i	−0.987885	−	0.290069i
$651$	7.82152	−	5.02658i	0.306549	−	0.197007i
$652$	7.27503	+	15.9301i	0.284912	+	0.623870i
$653$	11.4723	+	13.2397i	0.448944	+	0.518109i	0.934436	−	0.356132i	$-0.115905\pi$
$653$	11.4723	+	13.2397i	0.448944	+	0.518109i	−0.485491	+	0.874241i	$0.661359\pi$
$654$	12.2409	+	7.86672i	0.478655	+	0.307613i
$655$	−7.27555	+	50.6026i	−0.284279	+	1.97721i
$656$	0.311115	−	2.16385i	0.0121470	−	0.0844843i
$657$	−2.25987	−	1.45233i	−0.0881658	−	0.0566607i
$658$	5.20266	+	6.00419i	0.202821	+	0.234068i
$659$	12.7412	+	27.8994i	0.496328	+	1.08681i	0.977645	+	0.210261i	$0.0674313\pi$
$659$	12.7412	+	27.8994i	0.496328	+	1.08681i	−0.481317	+	0.876547i	$0.659841\pi$
$660$	6.34714	−	4.07906i	0.247062	−	0.158777i
$661$	20.8355	+	6.11785i	0.810406	+	0.237957i	0.660580	−	0.750756i	$-0.270310\pi$
$661$	20.8355	+	6.11785i	0.810406	+	0.237957i	0.149826	+	0.988712i	$0.452129\pi$
$662$	10.2167	−	11.7907i	0.397084	−	0.458259i
$663$	26.0838	−	7.65891i	1.01301	−	0.297447i
$664$	−4.02652	+	8.81684i	−0.156259	+	0.342160i
$665$	0.150516	+	1.04686i	0.00583677	+	0.0405956i
$666$	−3.97511			−0.154033
$667$	−25.3097	+	10.3783i	−0.979996	+	0.401849i
$668$	11.1175			0.430150
$669$	−2.26186	−	15.7316i	−0.0874487	−	0.608219i
$670$	−7.86165	+	17.2146i	−0.303722	+	0.665058i
$671$	1.78278	−	0.523472i	0.0688235	−	0.0202084i
$672$	0.654861	−	0.755750i	0.0252618	−	0.0291537i
$673$	18.9565	+	5.56612i	0.730717	+	0.214558i	0.625867	−	0.779930i	$-0.284745\pi$
$673$	18.9565	+	5.56612i	0.730717	+	0.214558i	0.104851	+	0.994488i	$0.466564\pi$
$674$	2.02355	−	1.30045i	0.0779440	−	0.0500916i
$675$	−1.58748	−	3.47610i	−0.0611022	−	0.133795i
$676$	−22.3854	−	25.8341i	−0.860975	−	0.993619i
$677$	7.30587	+	4.69520i	0.280787	+	0.180451i	0.673453	−	0.739230i	$-0.264811\pi$
$677$	7.30587	+	4.69520i	0.280787	+	0.180451i	−0.392665	+	0.919681i	$0.628447\pi$
$678$	1.64846	−	11.4653i	0.0633087	−	0.440322i
$679$	1.45540	−	10.1225i	0.0558532	−	0.388467i
$680$	9.88853	+	6.35497i	0.379208	+	0.243702i
$681$	−7.84066	−	9.04861i	−0.300455	−	0.346743i
$682$	9.81133	+	21.4838i	0.375695	+	0.822658i
$683$	32.1503	−	20.6617i	1.23020	−	0.790600i	0.246275	−	0.969200i	$-0.420793\pi$
$683$	32.1503	−	20.6617i	1.23020	−	0.790600i	0.983922	+	0.178600i	$0.0571569\pi$
$684$	−0.341669	−	0.100323i	−0.0130640	−	0.00383594i
$685$	21.6759	−	25.0153i	0.828194	−	0.955786i
$686$	−0.959493	+	0.281733i	−0.0366336	+	0.0107566i
$687$	−6.63576	+	14.5303i	−0.253170	+	0.554365i
$688$	0.643054	+	4.47254i	0.0245162	+	0.170514i
$689$	−84.6337			−3.22429
$690$	4.54632	−	13.4990i	0.173076	−	0.513900i
$691$	5.57550			0.212102			0.106051	−	0.994361i	$-0.466179\pi$
$691$	5.57550			0.212102			0.106051	+	0.994361i	$0.466179\pi$
$692$	−3.59969	−	25.0364i	−0.136840	−	0.951740i
$693$	1.05527	−	2.31072i	0.0400864	−	0.0877770i
$694$	−22.7027	+	6.66610i	−0.861781	+	0.253042i
$695$	21.8931	−	25.2659i	0.830451	−	0.958391i
$696$	−5.47284	−	1.60697i	−0.207448	−	0.0609121i
$697$	7.27836	−	4.67751i	0.275687	−	0.177174i
$698$	8.34232	+	18.2671i	0.315762	+	0.691421i
$699$	−12.8180	−	14.7927i	−0.484821	−	0.559513i
$700$	−3.21480	−	2.06603i	−0.121508	−	0.0780884i
$701$	−4.79154	+	33.3259i	−0.180974	+	1.25870i	0.673492	+	0.739195i	$0.264794\pi$
$701$	−4.79154	+	33.3259i	−0.180974	+	1.25870i	−0.854466	+	0.519507i	$0.826115\pi$
$702$	0.977563	−	6.79910i	0.0368957	−	0.256616i
$703$	1.19080	+	0.765282i	0.0449120	+	0.0288632i
$704$	1.66353	+	1.91982i	0.0626966	+	0.0723558i
$705$	9.80230	+	21.4640i	0.369176	+	0.808383i
$706$	−0.900900	+	0.578973i	−0.0339058	+	0.0217899i
$707$	1.57207	+	0.461601i	0.0591237	+	0.0173603i
$708$	−4.35917	+	5.03075i	−0.163828	+	0.189067i
$709$	2.98591	−	0.876742i	0.112138	−	0.0329267i	−0.225182	−	0.974317i	$-0.572298\pi$
$709$	2.98591	−	0.876742i	0.112138	−	0.0329267i	0.337320	+	0.941390i	$0.390479\pi$
$710$	−13.6721	+	29.9378i	−0.513105	+	1.12354i
$711$	2.34941	+	16.3405i	0.0881099	+	0.612818i
$712$	−9.18005			−0.344037
$713$	39.8014	+	20.1005i	1.49057	+	0.752771i
$714$	3.95763			0.148111
$715$	−7.37558	−	51.2983i	−0.275831	−	1.91845i
$716$	−9.44285	+	20.6770i	−0.352896	+	0.772734i
$717$	12.7119	−	3.73254i	0.474733	−	0.139394i
$718$	−10.8582	+	12.5310i	−0.405224	+	0.467653i
$719$	−4.27202	−	1.25438i	−0.159319	−	0.0467804i	0.201100	−	0.979571i	$-0.435548\pi$
$719$	−4.27202	−	1.25438i	−0.159319	−	0.0467804i	−0.360420	+	0.932790i	$0.617366\pi$
$720$	2.49860	−	1.60575i	0.0931173	−	0.0598429i
$721$	2.26071	+	4.95026i	0.0841932	+	0.184357i
$722$	−12.3593	−	14.2634i	−0.459966	−	0.530829i
$723$	−10.6099	−	6.81854i	−0.394585	−	0.253584i
$724$	−0.121638	+	0.846014i	−0.00452066	+	0.0314419i
$725$	−3.10205	+	21.5752i	−0.115207	+	0.801283i
$726$	−3.82516	−	2.45828i	−0.141965	−	0.0912353i
$727$	5.96519	+	6.88420i	0.221237	+	0.255321i	0.855508	−	0.517790i	$-0.173245\pi$
$727$	5.96519	+	6.88420i	0.221237	+	0.255321i	−0.634271	+	0.773111i	$0.718700\pi$
$728$	−2.85349	−	6.24828i	−0.105757	−	0.231577i
$729$	0.841254	−	0.540641i	0.0311575	−	0.0200237i
$730$	−7.65539	−	2.24782i	−0.283339	−	0.0831957i
$731$	−11.7107	+	13.5148i	−0.433135	+	0.499864i
$732$	0.701804	−	0.206068i	0.0259394	−	0.00761651i
$733$	−17.9803	+	39.3714i	−0.664118	+	1.45421i	0.214517	+	0.976720i	$0.431182\pi$
$733$	−17.9803	+	39.3714i	−0.664118	+	1.45421i	−0.878635	+	0.477494i	$0.841545\pi$
$734$	−2.72995	−	18.9872i	−0.100764	−	0.700830i
$735$	−2.97009			−0.109553
$736$	4.71657	+	0.868302i	0.173855	+	0.0320060i
$737$	−16.1861			−0.596224
$738$	−0.311115	−	2.16385i	−0.0114523	−	0.0796526i
$739$	−7.36257	+	16.1218i	−0.270837	+	0.593050i	−0.995362	−	0.0961984i	$-0.969332\pi$
$739$	−7.36257	+	16.1218i	−0.270837	+	0.593050i	0.724526	+	0.689248i	$0.242059\pi$
$740$	−11.3282	+	3.32626i	−0.416433	+	0.122276i
$741$	−1.60179	+	1.84857i	−0.0588434	+	0.0679089i
$742$	−11.8220	−	3.47125i	−0.433999	−	0.127434i
$743$	−30.5774	+	19.6509i	−1.12177	+	0.720920i	−0.963827	−	0.266527i	$-0.914124\pi$
$743$	−30.5774	+	19.6509i	−1.12177	+	0.720920i	−0.157947	+	0.987448i	$0.550487\pi$
$744$	3.86230	+	8.45726i	0.141599	+	0.310058i
$745$	35.4054	+	40.8600i	1.29715	+	1.49700i
$746$	−25.7081	−	16.5216i	−0.941240	−	0.604898i
$747$	−1.37942	+	9.59410i	−0.0504705	+	0.351030i
$748$	−1.43076	+	9.95116i	−0.0523138	+	0.363850i
$749$	−7.12425	−	4.57848i	−0.260315	−	0.167294i
$750$	2.29230	+	2.64545i	0.0837028	+	0.0965982i
$751$	−2.46602	−	5.39983i	−0.0899864	−	0.197043i	0.859288	−	0.511493i	$-0.170907\pi$
$751$	−2.46602	−	5.39983i	−0.0899864	−	0.197043i	−0.949274	+	0.314450i	$0.898180\pi$
$752$	−6.68349	+	4.29522i	−0.243722	+	0.156630i
$753$	0.758830	+	0.222813i	0.0276533	+	0.00811974i
$754$	−25.6575	+	29.6104i	−0.934392	+	1.07835i
$755$	15.6971	−	4.60908i	0.571275	−	0.167741i
$756$	0.415415	−	0.909632i	0.0151085	−	0.0330830i
$757$	−4.27327	−	29.7212i	−0.155314	−	1.08024i	−0.907126	−	0.420858i	$-0.861729\pi$
$757$	−4.27327	−	29.7212i	−0.155314	−	1.08024i	0.751812	−	0.659378i	$-0.229180\pi$
$758$	34.0259			1.23588
$759$	12.1175	−	1.25917i	0.439838	−	0.0457051i
$760$	−1.05763			−0.0383642
$761$	0.543028	+	3.77684i	0.0196847	+	0.136910i	0.997294	−	0.0735189i	$-0.0234229\pi$
$761$	0.543028	+	3.77684i	0.0196847	+	0.136910i	−0.977609	+	0.210429i	$0.932514\pi$
$762$	2.07321	−	4.53970i	0.0751046	−	0.164456i
$763$	13.9613	−	4.09942i	0.505434	−	0.148409i
$764$	11.3882	−	13.1427i	0.412010	−	0.475485i
$765$	11.2784	+	3.31163i	0.407771	+	0.119732i
$766$	25.1963	−	16.1927i	0.910378	−	0.585065i
$767$	18.9947	+	41.5925i	0.685858	+	1.50182i
$768$	0.654861	+	0.755750i	0.0236303	+	0.0272708i
$769$	−35.6691	−	22.9231i	−1.28626	−	0.826628i	−0.294613	−	0.955617i	$-0.595191\pi$
$769$	−35.6691	−	22.9231i	−1.28626	−	0.826628i	−0.991646	+	0.128988i	$0.958827\pi$
$770$	1.07375	−	7.46807i	0.0386951	−	0.269130i
$771$	−2.65002	+	18.4313i	−0.0954382	+	0.663787i
$772$	−8.73907	−	5.61626i	−0.314526	−	0.202134i
$773$	−19.2245	−	22.1863i	−0.691458	−	0.797985i	0.296114	−	0.955153i	$-0.404309\pi$
$773$	−19.2245	−	22.1863i	−0.691458	−	0.797985i	−0.987572	+	0.157168i	$0.949764\pi$
$774$	1.87707	+	4.11020i	0.0674698	+	0.147738i
$775$	29.8894	−	19.2088i	1.07366	−	0.690000i
$776$	9.81238	+	2.88117i	0.352244	+	0.103428i
$777$	−2.60315	+	3.00419i	−0.0933873	+	0.107775i
$778$	−7.95306	+	2.33523i	−0.285131	+	0.0837221i
$779$	−0.323383	+	0.708109i	−0.0115864	+	0.0253706i
$780$	−2.90345	−	20.1939i	−0.103960	−	0.723059i
$781$	−28.1492			−1.00726
$782$	9.62685	+	16.3575i	0.344256	+	0.584944i
$783$	−5.70389			−0.203840
$784$	−0.142315	−	0.989821i	−0.00508267	−	0.0353508i
$785$	12.6320	−	27.6603i	0.450857	−	0.987239i
$786$	−16.5153	+	4.84934i	−0.589083	+	0.172970i
$787$	−10.5231	+	12.1443i	−0.375109	+	0.432899i	−0.911645	−	0.410979i	$-0.865187\pi$
$787$	−10.5231	+	12.1443i	−0.375109	+	0.432899i	0.536536	+	0.843877i	$0.319732\pi$
$788$	−3.20949	−	0.942392i	−0.114333	−	0.0335713i
$789$	10.4448	−	6.71249i	0.371846	−	0.238971i
$790$	20.3686	+	44.6010i	0.724682	+	1.58683i
$791$	−7.58538	−	8.75399i	−0.269705	−	0.311256i
$792$	2.13702	+	1.37338i	0.0759357	+	0.0488009i
$793$	0.715021	−	4.97308i	0.0253912	−	0.176599i
$794$	−3.97503	+	27.6469i	−0.141069	+	0.981153i
$795$	−30.7854	−	19.7846i	−1.09185	−	0.701687i
$796$	−2.48953	−	2.87308i	−0.0882392	−	0.101833i
$797$	−6.96905	−	15.2601i	−0.246856	−	0.540540i	0.745125	−	0.666925i	$-0.232390\pi$
$797$	−6.96905	−	15.2601i	−0.246856	−	0.540540i	−0.991981	+	0.126385i	$0.959663\pi$
$798$	−0.299564	+	0.192518i	−0.0106045	+	0.00681508i
$799$	−30.1685	−	8.85826i	−1.06728	−	0.313383i
$800$	2.50251	−	2.88805i	0.0884771	−	0.102108i
$801$	−8.80819	+	2.58632i	−0.311222	+	0.0913831i
$802$	1.04815	−	2.29513i	0.0370115	−	0.0810438i
$803$	−0.971153	−	6.75452i	−0.0342712	−	0.238362i
$804$	−6.37180			−0.224716
$805$	−7.22468	−	12.2759i	−0.254637	−	0.432668i
$806$	63.8644			2.24953
$807$	0.398848	+	2.77405i	0.0140401	+	0.0976512i
$808$	−0.680631	+	1.49037i	−0.0239445	+	0.0524312i
$809$	−1.16859	+	0.343130i	−0.0410855	+	0.0120638i	−0.302211	−	0.953241i	$-0.597725\pi$
$809$	−1.16859	+	0.343130i	−0.0410855	+	0.0120638i	0.261125	+	0.965305i	$0.415906\pi$
$810$	1.94500	−	2.24464i	0.0683402	−	0.0788688i
$811$	−16.5362	−	4.85545i	−0.580663	−	0.170498i	−0.0218061	−	0.999762i	$-0.506942\pi$
$811$	−16.5362	−	4.85545i	−0.580663	−	0.170498i	−0.558857	+	0.829264i	$0.688760\pi$
$812$	−4.79842	+	3.08376i	−0.168392	+	0.108219i
$813$	−0.122787	−	0.268865i	−0.00430631	−	0.00942951i
$814$	−6.61272	−	7.63149i	−0.231776	−	0.267483i
$815$	43.7571	+	28.1210i	1.53275	+	0.985036i
$816$	−0.563229	+	3.91735i	−0.0197170	+	0.137135i
$817$	0.228987	−	1.59264i	0.00801124	−	0.0557194i
$818$	25.4085	+	16.3291i	0.888389	+	0.570933i
$819$	−4.49825	−	5.19126i	−0.157182	−	0.181397i
$820$	−2.69726	−	5.90618i	−0.0941925	−	0.206253i
$821$	24.0292	−	15.4426i	0.838624	−	0.538951i	−0.0493832	−	0.998780i	$-0.515726\pi$
$821$	24.0292	−	15.4426i	0.838624	−	0.538951i	0.888008	+	0.459829i	$0.152089\pi$
$822$	10.6930	+	3.13975i	0.372962	+	0.109511i
$823$	−30.7791	+	35.5210i	−1.07289	+	1.23818i	−0.102991	+	0.994682i	$0.532841\pi$
$823$	−30.7791	+	35.5210i	−1.07289	+	1.23818i	−0.969901	+	0.243501i	$0.921704\pi$
$824$	−5.22161	+	1.53320i	−0.181903	+	0.0534116i
$825$	4.03265	−	8.83028i	0.140399	−	0.307431i
$826$	0.947339	+	6.58888i	0.0329621	+	0.229257i
$827$	12.0819			0.420128			0.210064	−	0.977688i	$-0.432633\pi$
$827$	12.0819			0.420128			0.210064	+	0.977688i	$0.432633\pi$
$828$	4.77015	−	0.495683i	0.165774	−	0.0172262i
$829$	−53.5263			−1.85905			−0.929523	−	0.368764i	$-0.879781\pi$
$829$	−53.5263			−1.85905			−0.929523	+	0.368764i	$0.879781\pi$
$830$	4.09701	+	28.4953i	0.142209	+	0.989088i
$831$	5.67342	−	12.4231i	0.196809	−	0.430951i
$832$	6.59077	−	1.93523i	0.228494	−	0.0670919i
$833$	2.59170	−	2.99098i	0.0897969	−	0.103631i
$834$	10.8001	+	3.17121i	0.373978	+	0.109810i
$835$	27.7782	−	17.8520i	0.961306	−	0.617794i
$836$	−0.375774	−	0.822831i	−0.0129964	−	0.0284582i
$837$	6.08854	+	7.02655i	0.210451	+	0.242873i
$838$	−6.48518	−	4.16777i	−0.224027	−	0.143973i
$839$	2.57546	−	17.9127i	0.0889146	−	0.618415i	−0.895828	−	0.444400i	$-0.853417\pi$
$839$	2.57546	−	17.9127i	0.0889146	−	0.618415i	0.984743	−	0.174015i	$-0.0556741\pi$
$840$	0.422688	−	2.93986i	0.0145841	−	0.101435i
$841$	2.97332	+	1.91084i	0.102528	+	0.0658909i
$842$	4.92021	+	5.67823i	0.169562	+	0.195685i
$843$	9.70184	+	21.2441i	0.334149	+	0.731684i
$844$	13.7679	−	8.84812i	0.473912	−	0.304565i
$845$	−97.4152	−	28.6037i	−3.35118	−	0.983997i
$846$	−5.20266	+	6.00419i	−0.178871	+	0.206428i
$847$	−4.36279	+	1.28103i	−0.149907	+	0.0440167i
$848$	5.11836	−	11.2076i	0.175765	−	0.384872i
$849$	−3.15082	−	21.9144i	−0.108136	−	0.752100i
$850$	15.1238			0.518743
$851$	−18.7489	−	3.45160i	−0.642704	−	0.118319i
$852$	−11.0811			−0.379633
$853$	5.11091	+	35.5472i	0.174994	+	1.21711i	0.868142	+	0.496316i	$0.165314\pi$
$853$	5.11091	+	35.5472i	0.174994	+	1.21711i	−0.693148	+	0.720796i	$0.743777\pi$
$854$	0.303848	−	0.665334i	0.0103975	−	0.0227673i
$855$	−1.01479	+	0.297968i	−0.0347050	+	0.0101903i
$856$	5.54576	−	6.40015i	0.189550	−	0.218753i
$857$	35.0278	+	10.2851i	1.19653	+	0.351332i	0.818524	−	0.574472i	$-0.194793\pi$
$857$	35.0278	+	10.2851i	1.19653	+	0.351332i	0.378003	+	0.925804i	$0.376611\pi$
$858$	14.6792	−	9.43377i	0.501141	−	0.322063i
$859$	−14.4810	−	31.7090i	−0.494086	−	1.08190i	−0.978347	−	0.206973i	$-0.933639\pi$
$859$	−14.4810	−	31.7090i	−0.494086	−	1.08190i	0.484261	−	0.874924i	$-0.339089\pi$
$860$	8.78853	+	10.1425i	0.299686	+	0.345856i
$861$	−1.83907	−	1.18190i	−0.0626753	−	0.0402790i
$862$	−2.53944	+	17.6622i	−0.0864938	+	0.601577i
$863$	0.365847	−	2.54452i	0.0124536	−	0.0866165i	−0.982647	−	0.185487i	$-0.940614\pi$
$863$	0.365847	−	2.54452i	0.0124536	−	0.0866165i	0.995100	+	0.0988703i	$0.0315229\pi$
$864$	0.841254	+	0.540641i	0.0286200	+	0.0183930i
$865$	−49.1964	−	56.7757i	−1.67273	−	1.93043i
$866$	−1.04174	−	2.28110i	−0.0353999	−	0.0775149i
$867$	1.12490	−	0.722928i	0.0382035	−	0.0245519i
$868$	8.92084	+	2.61940i	0.302793	+	0.0889081i
$869$	−27.4625	+	31.6934i	−0.931601	+	1.07512i
$870$	−16.2548	+	4.77285i	−0.551091	+	0.161815i
$871$	−18.1819	+	39.8127i	−0.616069	+	1.34900i
$872$	2.07079	+	14.4026i	0.0701256	+	0.487735i
$873$	10.2266			0.346119
$874$	−1.52439	−	0.769852i	−0.0515634	−	0.0260406i
$875$	3.50043			0.118336
$876$	−0.382301	−	2.65896i	−0.0129168	−	0.0898381i
$877$	−22.6640	+	49.6273i	−0.765310	+	1.67580i	−0.0285972	+	0.999591i	$0.509104\pi$
$877$	−22.6640	+	49.6273i	−0.765310	+	1.67580i	−0.736713	+	0.676205i	$0.763623\pi$
$878$	8.91065	−	2.61640i	0.300720	−	0.0882993i
$879$	5.77595	−	6.66580i	0.194818	−	0.224832i
$880$	7.23924	+	2.12563i	0.244035	+	0.0716551i
$881$	22.9802	−	14.7685i	0.774222	−	0.497562i	−0.0928897	−	0.995676i	$-0.529610\pi$
$881$	22.9802	−	14.7685i	0.774222	−	0.497562i	0.867111	+	0.498114i	$0.165974\pi$
$882$	−0.415415	−	0.909632i	−0.0139878	−	0.0306289i
$883$	26.4710	+	30.5491i	0.890819	+	1.02806i	0.999423	+	0.0339750i	$0.0108167\pi$
$883$	26.4710	+	30.5491i	0.890819	+	1.02806i	−0.108604	+	0.994085i	$0.534638\pi$
$884$	22.8695	+	14.6973i	0.769184	+	0.494325i
$885$	−2.81368	+	19.5696i	−0.0945809	+	0.657824i
$886$	−1.88982	+	13.1440i	−0.0634896	+	0.441580i
$887$	−23.2202	−	14.9227i	−0.779659	−	0.501056i	0.0892616	−	0.996008i	$-0.471549\pi$
$887$	−23.2202	−	14.9227i	−0.779659	−	0.501056i	−0.868920	+	0.494952i	$0.835186\pi$
$888$	−2.60315	−	3.00419i	−0.0873559	−	0.100814i
$889$	−2.07321	−	4.53970i	−0.0695333	−	0.152257i
$890$	−22.9373	+	14.7409i	−0.768859	+	0.494116i
$891$	2.43738	+	0.715680i	0.0816554	+	0.0239762i
$892$	10.4079	−	12.0114i	0.348484	−	0.402172i
$893$	2.71445	−	0.797033i	0.0908355	−	0.0266717i
$894$	−7.56194	+	16.5583i	−0.252909	+	0.553794i
$895$	9.60817	+	66.8263i	0.321166	+	2.23376i
$896$	1.00000			0.0334077
$897$	10.5144	−	31.2196i	0.351066	−	1.04239i
$898$	−25.7777			−0.860212
$899$	−7.54720	−	52.4919i	−0.251713	−	1.75070i
$900$	1.58748	−	3.47610i	0.0529161	−	0.115870i
$901$	46.7870	−	13.7379i	1.55870	−	0.457676i
$902$	3.63665	−	4.19692i	0.121087	−	0.139742i
$903$	4.33550	+	1.27302i	0.144276	+	0.0423634i
$904$	9.74440	−	6.26235i	0.324094	−	0.208283i
$905$	1.05456	+	2.30917i	0.0350549	+	0.0767595i
$906$	3.60708	+	4.16279i	0.119837	+	0.138300i
$907$	2.73848	+	1.75991i	0.0909296	+	0.0584369i	0.585315	−	0.810806i	$-0.300971\pi$
$907$	2.73848	+	1.75991i	0.0909296	+	0.0584369i	−0.494386	+	0.869243i	$0.664607\pi$
$908$	1.70394	−	11.8512i	0.0565472	−	0.393294i
$909$	−0.233174	+	1.62176i	−0.00773388	+	0.0537903i
$910$	−17.1629	−	11.0299i	−0.568945	−	0.365639i
$911$	−30.2191	−	34.8747i	−1.00120	−	1.15545i	−0.987829	−	0.155541i	$-0.950288\pi$
$911$	−30.2191	−	34.8747i	−1.00120	−	1.15545i	−0.0133750	−	0.999911i	$-0.504258\pi$
$912$	−0.147926	−	0.323914i	−0.00489833	−	0.0107258i
$913$	−20.7136	+	13.3118i	−0.685521	+	0.440557i
$914$	−6.10506	−	1.79261i	−0.201937	−	0.0592942i
$915$	1.42263	−	1.64181i	0.0470308	−	0.0542764i
$916$	−15.3268	+	4.50034i	−0.506410	+	0.148695i
$917$	−7.15036	+	15.6571i	−0.236126	+	0.517043i
$918$	0.563229	+	3.91735i	0.0185893	+	0.129292i
$919$	21.5612			0.711237			0.355618	−	0.934631i	$-0.384270\pi$
$919$	21.5612			0.711237			0.355618	+	0.934631i	$0.384270\pi$
$920$	13.1791	−	5.40411i	0.434502	−	0.178168i
$921$	−13.4845			−0.444329
$922$	3.27379	+	22.7697i	0.107817	+	0.749881i
$923$	−31.6199	+	69.2380i	−1.04078	+	2.27900i
$924$	2.43738	−	0.715680i	0.0801840	−	0.0235441i
$925$	−9.94776	+	11.4803i	−0.327080	+	0.377471i
$926$	−28.2402	−	8.29208i	−0.928031	−	0.272495i
$927$	−4.57814	+	2.94219i	−0.150366	+	0.0966343i
$928$	−2.36948	−	5.18844i	−0.0777821	−	0.170319i
$929$	−30.2042	−	34.8575i	−0.990967	−	1.14364i	−0.989630	−	0.143638i	$-0.954120\pi$
$929$	−30.2042	−	34.8575i	−0.990967	−	1.14364i	−0.00133648	−	0.999999i	$-0.500425\pi$
$930$	23.2306	+	14.9294i	0.761762	+	0.489555i
$931$	−0.0506773	+	0.352468i	−0.00166088	+	0.0115517i
$932$	2.78561	−	19.3744i	0.0912458	−	0.634629i
$933$	−4.48463	−	2.88210i	−0.146820	−	0.0943556i
$934$	−22.6830	−	26.1776i	−0.742211	−	0.856557i
$935$	12.4042	+	27.1614i	0.405661	+	0.888273i
$936$	5.77858	−	3.71367i	0.188879	−	0.121385i
$937$	−20.9587	−	6.15404i	−0.684692	−	0.201044i	−0.0791566	−	0.996862i	$-0.525223\pi$
$937$	−20.9587	−	6.15404i	−0.684692	−	0.201044i	−0.605535	+	0.795819i	$0.707041\pi$
$938$	−4.17264	+	4.81548i	−0.136241	+	0.157231i
$939$	7.44215	−	2.18521i	0.242865	−	0.0713117i
$940$	−9.80230	+	21.4640i	−0.319716	+	0.700080i
$941$	0.918260	+	6.38664i	0.0299344	+	0.208198i	0.999299	−	0.0374264i	$-0.0119160\pi$
$941$	0.918260	+	6.38664i	0.0299344	+	0.208198i	−0.969365	+	0.245625i	$0.921007\pi$
$942$	10.2382			0.333577
$943$	0.411480	−	10.4761i	0.0133996	−	0.341149i
$944$	−6.65664			−0.216655
$945$	−0.422688	−	2.93986i	−0.0137500	−	0.0956336i
$946$	−4.76828	+	10.4411i	−0.155030	+	0.339468i
$947$	33.7231	−	9.90201i	1.09586	−	0.321772i	0.316651	−	0.948542i	$-0.397442\pi$
$947$	33.7231	−	9.90201i	1.09586	−	0.321772i	0.779204	+	0.626770i	$0.215623\pi$
$948$	−10.8108	+	12.4763i	−0.351119	+	0.405213i
$949$	−17.7048	−	5.19861i	−0.574724	−	0.168754i
$950$	−1.14477	+	0.735697i	−0.0371411	+	0.0238692i
$951$	8.82652	+	19.3274i	0.286220	+	0.626734i
$952$	2.59170	+	2.99098i	0.0839974	+	0.0969381i
$953$	−18.1529	−	11.6662i	−0.588030	−	0.377904i	0.212532	−	0.977154i	$-0.431829\pi$
$953$	−18.1529	−	11.6662i	−0.588030	−	0.377904i	−0.800562	+	0.599250i	$0.795466\pi$
$954$	1.75347	−	12.1957i	0.0567707	−	0.394849i
$955$	7.35065	−	51.1249i	0.237861	−	1.65436i
$956$	11.1454	+	7.16269i	0.360467	+	0.231658i
$957$	−9.48860	−	10.9504i	−0.306723	−	0.353977i
$958$	−3.65596	−	8.00544i	−0.118119	−	0.258644i
$959$	9.37530	−	6.02514i	0.302744	−	0.194562i
$960$	2.84978	+	0.836771i	0.0919763	+	0.0270067i
$961$	−36.3072	+	41.9008i	−1.17120	+	1.35164i
$962$	−26.1991	+	7.69274i	−0.844692	+	0.248024i
$963$	3.51799	−	7.70333i	0.113366	−	0.248236i
$964$	−1.79487	−	12.4836i	−0.0578088	−	0.402069i
$965$	−30.8538			−0.993218
$966$	2.74917	−	3.92964i	0.0884531	−	0.126434i
$967$	34.4450			1.10768			0.553839	−	0.832624i	$-0.313162\pi$
$967$	34.4450			1.10768			0.553839	+	0.832624i	$0.313162\pi$
$968$	−0.647102	−	4.50069i	−0.0207986	−	0.144658i
$969$	0.585438	−	1.28193i	0.0188070	−	0.0411815i
$970$	29.1437	−	8.55735i	0.935746	−	0.274760i
$971$	−3.29018	+	3.79707i	−0.105587	+	0.121854i	−0.806083	−	0.591802i	$-0.798417\pi$
$971$	−3.29018	+	3.79707i	−0.105587	+	0.121854i	0.700496	+	0.713656i	$0.252962\pi$
$972$	0.959493	+	0.281733i	0.0307758	+	0.00903658i
$973$	9.46923	−	6.08550i	0.303569	−	0.195092i
$974$	17.7600	+	38.8890i	0.569067	+	1.24608i
$975$	−17.1898	−	19.8381i	−0.550514	−	0.635327i
$976$	0.615320	+	0.395442i	0.0196959	+	0.0126578i
$977$	−2.00316	+	13.9323i	−0.0640867	+	0.445733i	0.932362	+	0.361527i	$0.117744\pi$
$977$	−2.00316	+	13.9323i	−0.0640867	+	0.445733i	−0.996448	+	0.0842060i	$0.973165\pi$
$978$	−2.49231	+	17.3344i	−0.0796954	+	0.554293i
$979$	−19.6179	−	12.6077i	−0.626992	−	0.402944i
$980$	−1.94500	−	2.24464i	−0.0621306	−	0.0717025i
$981$	6.04459	+	13.2358i	0.192989	+	0.422587i
$982$	9.10771	−	5.85317i	0.290639	−	0.186782i
$983$	−14.8017	−	4.34618i	−0.472102	−	0.138622i	0.0370229	−	0.999314i	$-0.488213\pi$
$983$	−14.8017	−	4.34618i	−0.472102	−	0.138622i	−0.509125	+	0.860693i	$0.670031\pi$
$984$	1.43159	−	1.65215i	0.0456376	−	0.0526686i
$985$	−9.53249	+	2.79899i	−0.303730	+	0.0891833i
$986$	9.37753	−	20.5339i	0.298642	−	0.653934i
$987$	1.13065	+	7.86381i	0.0359888	+	0.250308i
$988$	−2.44601			−0.0778179
$989$	5.28442	+	21.0159i	0.168035	+	0.668268i
$990$	7.54486			0.239792
$991$	4.21290	+	29.3013i	0.133827	+	0.930788i	0.940501	+	0.339791i	$0.110356\pi$
$991$	4.21290	+	29.3013i	0.133827	+	0.930788i	−0.806674	+	0.590997i	$0.798735\pi$
$992$	−3.86230	+	8.45726i	−0.122628	+	0.268518i
$993$	14.9694	−	4.39541i	0.475039	−	0.139484i
$994$	−7.25659	+	8.37456i	−0.230165	+	0.265625i
$995$	−10.8338	−	3.18109i	−0.343455	−	0.100847i
$996$	−8.15407	+	5.24030i	−0.258372	+	0.166045i
$997$	−24.7335	−	54.1589i	−0.783319	−	1.71523i	−0.694854	−	0.719151i	$-0.744531\pi$
$997$	−24.7335	−	54.1589i	−0.783319	−	1.71523i	−0.0884651	−	0.996079i	$-0.528196\pi$
$998$	10.8476	+	12.5188i	0.343375	+	0.396276i
$999$	−3.34408	−	2.14911i	−0.105802	−	0.0679948i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.q.g.463.1	yes	30
23.8	even	11	inner	966.2.q.g.169.1	✓	30

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.q.g.169.1	✓	30	23.8	even	11	inner
966.2.q.g.463.1	yes	30	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	966.q (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.142315 + 0.989821i) q^{2} +(-0.415415 + 0.909632i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-1.94500 + 2.24464i) q^{5} +(-0.959493 - 0.281733i) q^{6} +(-0.841254 + 0.540641i) q^{7} +(-0.415415 - 0.909632i) q^{8} +(-0.654861 - 0.755750i) q^{9} +O(q^{10})\)	\(q+(0.142315 + 0.989821i) q^{2} +(-0.415415 + 0.909632i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-1.94500 + 2.24464i) q^{5} +(-0.959493 - 0.281733i) q^{6} +(-0.841254 + 0.540641i) q^{7} +(-0.415415 - 0.909632i) q^{8} +(-0.654861 - 0.755750i) q^{9} +(-2.49860 - 1.60575i) q^{10} +(0.361520 - 2.51442i) q^{11} +(0.142315 - 0.989821i) q^{12} +(-5.77858 - 3.71367i) q^{13} +(-0.654861 - 0.755750i) q^{14} +(-1.23382 - 2.70169i) q^{15} +(0.841254 - 0.540641i) q^{16} +(3.79732 + 1.11499i) q^{17} +(0.654861 - 0.755750i) q^{18} +(-0.341669 + 0.100323i) q^{19} +(1.23382 - 2.70169i) q^{20} +(-0.142315 - 0.989821i) q^{21} +2.54028 q^{22} +(3.74492 - 2.99593i) q^{23} +1.00000 q^{24} +(-0.543847 - 3.78254i) q^{25} +(2.85349 - 6.24828i) q^{26} +(0.959493 - 0.281733i) q^{27} +(0.654861 - 0.755750i) q^{28} +(-5.47284 - 1.60697i) q^{29} +(2.49860 - 1.60575i) q^{30} +(3.86230 + 8.45726i) q^{31} +(0.654861 + 0.755750i) q^{32} +(2.13702 + 1.37338i) q^{33} +(-0.563229 + 3.91735i) q^{34} +(0.422688 - 2.93986i) q^{35} +(0.841254 + 0.540641i) q^{36} +(-2.60315 - 3.00419i) q^{37} +(-0.147926 - 0.323914i) q^{38} +(5.77858 - 3.71367i) q^{39} +(2.84978 + 0.836771i) q^{40} +(1.43159 - 1.65215i) q^{41} +(0.959493 - 0.281733i) q^{42} +(-1.87707 + 4.11020i) q^{43} +(0.361520 + 2.51442i) q^{44} +2.97009 q^{45} +(3.49839 + 3.28043i) q^{46} -7.94468 q^{47} +(0.142315 + 0.989821i) q^{48} +(0.415415 - 0.909632i) q^{49} +(3.66664 - 1.07662i) q^{50} +(-2.59170 + 2.99098i) q^{51} +(6.59077 + 1.93523i) q^{52} +(10.3651 - 6.66128i) q^{53} +(0.415415 + 0.909632i) q^{54} +(4.94084 + 5.70203i) q^{55} +(0.841254 + 0.540641i) q^{56} +(0.0506773 - 0.352468i) q^{57} +(0.811749 - 5.64584i) q^{58} +(-5.59992 - 3.59885i) q^{59} +(1.94500 + 2.24464i) q^{60} +(0.303848 + 0.665334i) q^{61} +(-7.82152 + 5.02658i) q^{62} +(0.959493 + 0.281733i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(19.5752 - 5.74780i) q^{65} +(-1.05527 + 2.31072i) q^{66} +(-0.906801 - 6.30694i) q^{67} -3.95763 q^{68} +(1.16950 + 4.65105i) q^{69} +2.97009 q^{70} +(-1.57701 - 10.9683i) q^{71} +(-0.415415 + 0.909632i) q^{72} +(2.57749 - 0.756820i) q^{73} +(2.60315 - 3.00419i) q^{74} +(3.66664 + 1.07662i) q^{75} +(0.299564 - 0.192518i) q^{76} +(1.05527 + 2.31072i) q^{77} +(4.49825 + 5.19126i) q^{78} +(-13.8879 - 8.92520i) q^{79} +(-0.422688 + 2.93986i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(1.83907 + 1.18190i) q^{82} +(-6.34741 - 7.32530i) q^{83} +(0.415415 + 0.909632i) q^{84} +(-9.88853 + 6.35497i) q^{85} +(-4.33550 - 1.27302i) q^{86} +(3.73526 - 4.31071i) q^{87} +(-2.43738 + 0.715680i) q^{88} +(3.81353 - 8.35047i) q^{89} +(0.422688 + 2.93986i) q^{90} +6.86902 q^{91} +(-2.74917 + 3.92964i) q^{92} -9.29745 q^{93} +(-1.13065 - 7.86381i) q^{94} +(0.439355 - 0.962052i) q^{95} +(-0.959493 + 0.281733i) q^{96} +(-6.69702 + 7.72877i) q^{97} +(0.959493 + 0.281733i) q^{98} +(-2.13702 + 1.37338i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 30 q + 3 q^{2} + 3 q^{3} - 3 q^{4} - 10 q^{5} - 3 q^{6} + 3 q^{7} + 3 q^{8} - 3 q^{9}+O(q^{10}) \) 30 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 - 10 * q^5 - 3 * q^6 + 3 * q^7 + 3 * q^8 - 3 * q^9	\( 30 q + 3 q^{2} + 3 q^{3} - 3 q^{4} - 10 q^{5} - 3 q^{6} + 3 q^{7} + 3 q^{8} - 3 q^{9} + 10 q^{10} + 9 q^{11} + 3 q^{12} - 12 q^{13} - 3 q^{14} - q^{15} - 3 q^{16} + 5 q^{17} + 3 q^{18} + 18 q^{19} + q^{20} - 3 q^{21} + 2 q^{22} + 21 q^{23} + 30 q^{24} + 13 q^{25} - 10 q^{26} + 3 q^{27} + 3 q^{28} + 17 q^{29} - 10 q^{30} + 12 q^{31} + 3 q^{32} + 13 q^{33} + 17 q^{34} - q^{35} - 3 q^{36} + 16 q^{37} + 15 q^{38} + 12 q^{39} - 12 q^{40} + 10 q^{41} + 3 q^{42} - 35 q^{43} + 9 q^{44} + 12 q^{45} + q^{46} - 8 q^{47} + 3 q^{48} - 3 q^{49} - 2 q^{50} + 6 q^{51} - q^{52} + 42 q^{53} - 3 q^{54} + 49 q^{55} - 3 q^{56} + 15 q^{57} + 5 q^{58} - 6 q^{59} + 10 q^{60} - 18 q^{61} - 34 q^{62} + 3 q^{63} - 3 q^{64} + 34 q^{65} - 2 q^{66} + 72 q^{67} - 6 q^{68} - 10 q^{69} + 12 q^{70} + 17 q^{71} + 3 q^{72} + 9 q^{73} - 16 q^{74} - 2 q^{75} + 18 q^{76} + 2 q^{77} + 10 q^{78} - 56 q^{79} + q^{80} - 3 q^{81} + 12 q^{82} + 52 q^{83} - 3 q^{84} - 53 q^{85} - 31 q^{86} + 5 q^{87} + 13 q^{88} - 104 q^{89} - q^{90} + 34 q^{91} - 12 q^{92} + 32 q^{93} - 14 q^{94} - 92 q^{95} - 3 q^{96} - 82 q^{97} + 3 q^{98} - 13 q^{99}+O(q^{100}) \) 30 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 - 10 * q^5 - 3 * q^6 + 3 * q^7 + 3 * q^8 - 3 * q^9 + 10 * q^10 + 9 * q^11 + 3 * q^12 - 12 * q^13 - 3 * q^14 - q^15 - 3 * q^16 + 5 * q^17 + 3 * q^18 + 18 * q^19 + q^20 - 3 * q^21 + 2 * q^22 + 21 * q^23 + 30 * q^24 + 13 * q^25 - 10 * q^26 + 3 * q^27 + 3 * q^28 + 17 * q^29 - 10 * q^30 + 12 * q^31 + 3 * q^32 + 13 * q^33 + 17 * q^34 - q^35 - 3 * q^36 + 16 * q^37 + 15 * q^38 + 12 * q^39 - 12 * q^40 + 10 * q^41 + 3 * q^42 - 35 * q^43 + 9 * q^44 + 12 * q^45 + q^46 - 8 * q^47 + 3 * q^48 - 3 * q^49 - 2 * q^50 + 6 * q^51 - q^52 + 42 * q^53 - 3 * q^54 + 49 * q^55 - 3 * q^56 + 15 * q^57 + 5 * q^58 - 6 * q^59 + 10 * q^60 - 18 * q^61 - 34 * q^62 + 3 * q^63 - 3 * q^64 + 34 * q^65 - 2 * q^66 + 72 * q^67 - 6 * q^68 - 10 * q^69 + 12 * q^70 + 17 * q^71 + 3 * q^72 + 9 * q^73 - 16 * q^74 - 2 * q^75 + 18 * q^76 + 2 * q^77 + 10 * q^78 - 56 * q^79 + q^80 - 3 * q^81 + 12 * q^82 + 52 * q^83 - 3 * q^84 - 53 * q^85 - 31 * q^86 + 5 * q^87 + 13 * q^88 - 104 * q^89 - q^90 + 34 * q^91 - 12 * q^92 + 32 * q^93 - 14 * q^94 - 92 * q^95 - 3 * q^96 - 82 * q^97 + 3 * q^98 - 13 * q^99

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