LMFDB - Embedded newform 966.2.q.b.673.1

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:	$10$
Coefficient field:	$\Q(\zeta_{22})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 $ x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
Coefficient ring:	$\Z[a_1, a_2]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			673.1
Root			$0.959493 - 0.281733i$ of defining polynomial
Character	$\chi$	$=$	966.673
Dual form			966.2.q.b.211.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.415415 - 0.909632i) q^{2} +(-0.959493 - 0.281733i) q^{3} +(-0.654861 - 0.755750i) q^{4} +(-0.698939 + 0.449181i) q^{5} +(-0.654861 + 0.755750i) q^{6} +(0.142315 - 0.989821i) q^{7} +(-0.959493 + 0.281733i) q^{8} +(0.841254 + 0.540641i) q^{9} +O(q^{10})$	\(q+(0.415415 - 0.909632i) q^{2} +(-0.959493 - 0.281733i) q^{3} +(-0.654861 - 0.755750i) q^{4} +(-0.698939 + 0.449181i) q^{5} +(-0.654861 + 0.755750i) q^{6} +(0.142315 - 0.989821i) q^{7} +(-0.959493 + 0.281733i) q^{8} +(0.841254 + 0.540641i) q^{9} +(0.118239 + 0.822373i) q^{10} +(1.99315 + 4.36438i) q^{11} +(0.415415 + 0.909632i) q^{12} +(0.352783 + 2.45366i) q^{13} +(-0.841254 - 0.540641i) q^{14} +(0.797176 - 0.234072i) q^{15} +(-0.142315 + 0.989821i) q^{16} +(3.25746 - 3.75931i) q^{17} +(0.841254 - 0.540641i) q^{18} +(-1.64200 - 1.89497i) q^{19} +(0.797176 + 0.234072i) q^{20} +(-0.415415 + 0.909632i) q^{21} +4.79797 q^{22} +(2.91797 + 3.80598i) q^{23} +1.00000 q^{24} +(-1.79032 + 3.92026i) q^{25} +(2.37848 + 0.698384i) q^{26} +(-0.654861 - 0.755750i) q^{27} +(-0.841254 + 0.540641i) q^{28} +(3.09126 - 3.56750i) q^{29} +(0.118239 - 0.822373i) q^{30} +(7.27765 - 2.13691i) q^{31} +(0.841254 + 0.540641i) q^{32} +(-0.682822 - 4.74913i) q^{33} +(-2.06639 - 4.52476i) q^{34} +(0.345139 + 0.755750i) q^{35} +(-0.142315 - 0.989821i) q^{36} +(4.15736 + 2.67177i) q^{37} +(-2.40584 + 0.706417i) q^{38} +(0.352783 - 2.45366i) q^{39} +(0.544078 - 0.627899i) q^{40} +(0.216476 - 0.139121i) q^{41} +(0.654861 + 0.755750i) q^{42} +(-7.79867 - 2.28990i) q^{43} +(1.99315 - 4.36438i) q^{44} -0.830830 q^{45} +(4.67421 - 1.07322i) q^{46} +11.5245 q^{47} +(0.415415 - 0.909632i) q^{48} +(-0.959493 - 0.281733i) q^{49} +(2.82227 + 3.25707i) q^{50} +(-4.18463 + 2.68930i) q^{51} +(1.62333 - 1.87342i) q^{52} +(1.71797 - 11.9487i) q^{53} +(-0.959493 + 0.281733i) q^{54} +(-3.35348 - 2.15515i) q^{55} +(0.142315 + 0.989821i) q^{56} +(1.04161 + 2.28081i) q^{57} +(-1.96096 - 4.29390i) q^{58} +(-1.34287 - 9.33989i) q^{59} +(-0.698939 - 0.449181i) q^{60} +(9.30079 - 2.73096i) q^{61} +(1.07944 - 7.50769i) q^{62} +(0.654861 - 0.755750i) q^{63} +(0.841254 - 0.540641i) q^{64} +(-1.34871 - 1.55649i) q^{65} +(-4.60362 - 1.35174i) q^{66} +(-2.99848 + 6.56576i) q^{67} -4.97428 q^{68} +(-1.72750 - 4.47389i) q^{69} +0.830830 q^{70} +(-4.36750 + 9.56348i) q^{71} +(-0.959493 - 0.281733i) q^{72} +(5.86689 + 6.77075i) q^{73} +(4.15736 - 2.67177i) q^{74} +(2.82227 - 3.25707i) q^{75} +(-0.356841 + 2.48188i) q^{76} +(4.60362 - 1.35174i) q^{77} +(-2.08538 - 1.34019i) q^{78} +(2.36759 + 16.4670i) q^{79} +(-0.345139 - 0.755750i) q^{80} +(0.415415 + 0.909632i) q^{81} +(-0.0366213 - 0.254707i) q^{82} +(7.23562 + 4.65005i) q^{83} +(0.959493 - 0.281733i) q^{84} +(-0.588156 + 4.09071i) q^{85} +(-5.32265 + 6.14266i) q^{86} +(-3.97112 + 2.55208i) q^{87} +(-3.14200 - 3.62606i) q^{88} +(4.51097 + 1.32454i) q^{89} +(-0.345139 + 0.755750i) q^{90} +2.47889 q^{91} +(0.965501 - 4.69764i) q^{92} -7.58489 q^{93} +(4.78744 - 10.4830i) q^{94} +(1.99884 + 0.586913i) q^{95} +(-0.654861 - 0.755750i) q^{96} +(2.23742 - 1.43790i) q^{97} +(-0.654861 + 0.755750i) q^{98} +(-0.682822 + 4.74913i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 10 q - q^{2} - q^{3} - q^{4} + 2 q^{5} - q^{6} + q^{7} - q^{8} - q^{9}+O(q^{10}) $ 10 * q - q^2 - q^3 - q^4 + 2 * q^5 - q^6 + q^7 - q^8 - q^9	\( 10 q - q^{2} - q^{3} - q^{4} + 2 q^{5} - q^{6} + q^{7} - q^{8} - q^{9} + 2 q^{10} + 7 q^{11} - q^{12} - 2 q^{13} + q^{14} + 2 q^{15} - q^{16} - 6 q^{17} - q^{18} + 11 q^{19} + 2 q^{20} + q^{21} + 18 q^{22} + 21 q^{23} + 10 q^{24} + q^{25} - 2 q^{26} - q^{27} + q^{28} - 20 q^{29} + 2 q^{30} + 18 q^{31} - q^{32} - 15 q^{33} + 5 q^{34} + 9 q^{35} - q^{36} + 5 q^{37} - 22 q^{38} - 2 q^{39} + 2 q^{40} + 6 q^{41} + q^{42} - 12 q^{43} + 7 q^{44} + 2 q^{45} + 21 q^{46} - 32 q^{47} - q^{48} - q^{49} + 12 q^{50} - 17 q^{51} + 9 q^{52} - 39 q^{53} - q^{54} + 8 q^{55} + q^{56} + 22 q^{57} + 13 q^{58} + 15 q^{59} + 2 q^{60} + 21 q^{61} - 4 q^{62} + q^{63} - q^{64} - 7 q^{65} - 4 q^{66} - 26 q^{67} - 6 q^{68} - 12 q^{69} - 2 q^{70} + 27 q^{71} - q^{72} - 2 q^{73} + 5 q^{74} + 12 q^{75} + 4 q^{77} - 2 q^{78} + 47 q^{79} - 9 q^{80} - q^{81} + 6 q^{82} + 5 q^{83} + q^{84} + q^{85} - 12 q^{86} - 9 q^{87} - 4 q^{88} + 5 q^{89} - 9 q^{90} + 24 q^{91} + 10 q^{92} - 26 q^{93} + 23 q^{94} - 11 q^{95} - q^{96} + 2 q^{97} - q^{98} - 15 q^{99}+O(q^{100}) \) 10 * q - q^2 - q^3 - q^4 + 2 * q^5 - q^6 + q^7 - q^8 - q^9 + 2 * q^10 + 7 * q^11 - q^12 - 2 * q^13 + q^14 + 2 * q^15 - q^16 - 6 * q^17 - q^18 + 11 * q^19 + 2 * q^20 + q^21 + 18 * q^22 + 21 * q^23 + 10 * q^24 + q^25 - 2 * q^26 - q^27 + q^28 - 20 * q^29 + 2 * q^30 + 18 * q^31 - q^32 - 15 * q^33 + 5 * q^34 + 9 * q^35 - q^36 + 5 * q^37 - 22 * q^38 - 2 * q^39 + 2 * q^40 + 6 * q^41 + q^42 - 12 * q^43 + 7 * q^44 + 2 * q^45 + 21 * q^46 - 32 * q^47 - q^48 - q^49 + 12 * q^50 - 17 * q^51 + 9 * q^52 - 39 * q^53 - q^54 + 8 * q^55 + q^56 + 22 * q^57 + 13 * q^58 + 15 * q^59 + 2 * q^60 + 21 * q^61 - 4 * q^62 + q^63 - q^64 - 7 * q^65 - 4 * q^66 - 26 * q^67 - 6 * q^68 - 12 * q^69 - 2 * q^70 + 27 * q^71 - q^72 - 2 * q^73 + 5 * q^74 + 12 * q^75 + 4 * q^77 - 2 * q^78 + 47 * q^79 - 9 * q^80 - q^81 + 6 * q^82 + 5 * q^83 + q^84 + q^85 - 12 * q^86 - 9 * q^87 - 4 * q^88 + 5 * q^89 - 9 * q^90 + 24 * q^91 + 10 * q^92 - 26 * q^93 + 23 * q^94 - 11 * q^95 - q^96 + 2 * q^97 - q^98 - 15 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$1$	$e\left(\frac{9}{11}\right)$

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 $

$2$	0.415415	−	0.909632i	0.293743	−	0.643207i
$2$	0.415415	−	0.909632i	0.293743	−	0.643207i
$3$	−0.959493	−	0.281733i	−0.553964	−	0.162658i
$3$	−0.959493	−	0.281733i	−0.553964	−	0.162658i
$4$	−0.654861	−	0.755750i	−0.327430	−	0.377875i
$5$	−0.698939	+	0.449181i	−0.312575	+	0.200880i	−0.687517	−	0.726169i	$-0.741299\pi$
$5$	−0.698939	+	0.449181i	−0.312575	+	0.200880i	0.374942	+	0.927048i	$0.377663\pi$
$6$	−0.654861	+	0.755750i	−0.267346	+	0.308533i
$7$	0.142315	−	0.989821i	0.0537900	−	0.374117i
$7$	0.142315	−	0.989821i	0.0537900	−	0.374117i
$8$	−0.959493	+	0.281733i	−0.339232	+	0.0996075i
$9$	0.841254	+	0.540641i	0.280418	+	0.180214i
$10$	0.118239	+	0.822373i	0.0373906	+	0.260057i
$11$	1.99315	+	4.36438i	0.600957	+	1.31591i	0.928590	+	0.371107i	$0.121022\pi$
$11$	1.99315	+	4.36438i	0.600957	+	1.31591i	−0.327634	+	0.944805i	$0.606251\pi$
$12$	0.415415	+	0.909632i	0.119920	+	0.262588i
$13$	0.352783	+	2.45366i	0.0978444	+	0.680523i	0.978421	+	0.206620i	$0.0662463\pi$
$13$	0.352783	+	2.45366i	0.0978444	+	0.680523i	−0.880577	+	0.473903i	$0.842845\pi$
$14$	−0.841254	−	0.540641i	−0.224834	−	0.144492i
$15$	0.797176	−	0.234072i	0.205830	−	0.0604371i
$16$	−0.142315	+	0.989821i	−0.0355787	+	0.247455i
$17$	3.25746	−	3.75931i	0.790050	−	0.911766i	−0.207742	−	0.978184i	$-0.566611\pi$
$17$	3.25746	−	3.75931i	0.790050	−	0.911766i	0.997792	+	0.0664173i	$0.0211569\pi$
$18$	0.841254	−	0.540641i	0.198285	−	0.127430i
$19$	−1.64200	−	1.89497i	−0.376701	−	0.434736i	0.535465	−	0.844557i	$-0.320136\pi$
$19$	−1.64200	−	1.89497i	−0.376701	−	0.434736i	−0.912166	+	0.409822i	$0.865591\pi$
$20$	0.797176	+	0.234072i	0.178254	+	0.0523401i
$21$	−0.415415	+	0.909632i	−0.0906510	+	0.198498i
$22$	4.79797			1.02293
$23$	2.91797	+	3.80598i	0.608439	+	0.793601i
$23$	2.91797	+	3.80598i	0.608439	+	0.793601i
$24$	1.00000			0.204124
$25$	−1.79032	+	3.92026i	−0.358065	+	0.784052i
$26$	2.37848	+	0.698384i	0.466458	+	0.136964i
$27$	−0.654861	−	0.755750i	−0.126028	−	0.145444i
$28$	−0.841254	+	0.540641i	−0.158982	+	0.102172i
$29$	3.09126	−	3.56750i	0.574032	−	0.662468i	−0.392279	−	0.919846i	$-0.628313\pi$
$29$	3.09126	−	3.56750i	0.574032	−	0.662468i	0.966311	+	0.257378i	$0.0828586\pi$
$30$	0.118239	−	0.822373i	0.0215875	−	0.150144i
$31$	7.27765	−	2.13691i	1.30710	−	0.383800i	0.447282	−	0.894393i	$-0.352392\pi$
$31$	7.27765	−	2.13691i	1.30710	−	0.383800i	0.859823	+	0.510593i	$0.170574\pi$
$32$	0.841254	+	0.540641i	0.148714	+	0.0955727i
$33$	−0.682822	−	4.74913i	−0.118864	−	0.826717i
$34$	−2.06639	−	4.52476i	−0.354383	−	0.775990i
$35$	0.345139	+	0.755750i	0.0583392	+	0.127745i
$36$	−0.142315	−	0.989821i	−0.0237191	−	0.164970i
$37$	4.15736	+	2.67177i	0.683466	+	0.439237i	0.835758	−	0.549099i	$-0.185029\pi$
$37$	4.15736	+	2.67177i	0.683466	+	0.439237i	−0.152291	+	0.988336i	$0.548665\pi$
$38$	−2.40584	+	0.706417i	−0.390278	+	0.114596i
$39$	0.352783	−	2.45366i	0.0564905	−	0.392900i
$40$	0.544078	−	0.627899i	0.0860263	−	0.0992796i
$41$	0.216476	−	0.139121i	0.0338079	−	0.0217270i	−0.523628	−	0.851947i	$-0.675422\pi$
$41$	0.216476	−	0.139121i	0.0338079	−	0.0217270i	0.557436	+	0.830220i	$0.311785\pi$
$42$	0.654861	+	0.755750i	0.101047	+	0.116615i
$43$	−7.79867	−	2.28990i	−1.18929	−	0.349206i	−0.373539	−	0.927615i	$-0.621856\pi$
$43$	−7.79867	−	2.28990i	−1.18929	−	0.349206i	−0.815747	+	0.578409i	$0.803674\pi$
$44$	1.99315	−	4.36438i	0.300478	−	0.657956i
$45$	−0.830830			−0.123853
$46$	4.67421	−	1.07322i	0.689174	−	0.158237i
$47$	11.5245			1.68102			0.840508	−	0.541799i	$-0.182257\pi$
$47$	11.5245			1.68102			0.840508	+	0.541799i	$0.182257\pi$
$48$	0.415415	−	0.909632i	0.0599600	−	0.131294i
$49$	−0.959493	−	0.281733i	−0.137070	−	0.0402475i
$50$	2.82227	+	3.25707i	0.399129	+	0.460619i
$51$	−4.18463	+	2.68930i	−0.585965	+	0.376577i
$52$	1.62333	−	1.87342i	0.225115	−	0.259797i
$53$	1.71797	−	11.9487i	0.235981	−	1.64129i	−0.435446	−	0.900215i	$-0.643409\pi$
$53$	1.71797	−	11.9487i	0.235981	−	1.64129i	0.671427	−	0.741070i	$-0.265682\pi$
$54$	−0.959493	+	0.281733i	−0.130570	+	0.0383389i
$55$	−3.35348	−	2.15515i	−0.452184	−	0.290601i
$56$	0.142315	+	0.989821i	0.0190176	+	0.132270i
$57$	1.04161	+	2.28081i	0.137965	+	0.302101i
$58$	−1.96096	−	4.29390i	−0.257486	−	0.563817i
$59$	−1.34287	−	9.33989i	−0.174827	−	1.21595i	−0.868511	−	0.495671i	$-0.834922\pi$
$59$	−1.34287	−	9.33989i	−0.174827	−	1.21595i	0.693683	−	0.720280i	$-0.255987\pi$
$60$	−0.698939	−	0.449181i	−0.0902326	−	0.0579890i
$61$	9.30079	−	2.73096i	1.19084	−	0.349663i	0.374499	−	0.927227i	$-0.377815\pi$
$61$	9.30079	−	2.73096i	1.19084	−	0.349663i	0.816345	+	0.577564i	$0.195997\pi$
$62$	1.07944	−	7.50769i	0.137089	−	0.953477i
$63$	0.654861	−	0.755750i	0.0825047	−	0.0952155i
$64$	0.841254	−	0.540641i	0.105157	−	0.0675801i
$65$	−1.34871	−	1.55649i	−0.167287	−	0.193059i
$66$	−4.60362	−	1.35174i	−0.566666	−	0.166388i
$67$	−2.99848	+	6.56576i	−0.366323	+	0.802135i	0.633279	+	0.773923i	$0.281709\pi$
$67$	−2.99848	+	6.56576i	−0.366323	+	0.802135i	−0.999602	+	0.0282117i	$0.991019\pi$
$68$	−4.97428			−0.603220
$69$	−1.72750	−	4.47389i	−0.207967	−	0.538594i
$70$	0.830830			0.0993032
$71$	−4.36750	+	9.56348i	−0.518326	+	1.13498i	0.451743	+	0.892148i	$0.350802\pi$
$71$	−4.36750	+	9.56348i	−0.518326	+	1.13498i	−0.970069	+	0.242828i	$0.921925\pi$
$72$	−0.959493	−	0.281733i	−0.113077	−	0.0332025i
$73$	5.86689	+	6.77075i	0.686668	+	0.792457i	0.986887	−	0.161413i	$-0.0516053\pi$
$73$	5.86689	+	6.77075i	0.686668	+	0.792457i	−0.300219	+	0.953870i	$0.597060\pi$
$74$	4.15736	−	2.67177i	0.483284	−	0.310587i
$75$	2.82227	−	3.25707i	0.325887	−	0.376094i
$76$	−0.356841	+	2.48188i	−0.0409324	+	0.284691i
$77$	4.60362	−	1.35174i	0.524631	−	0.154045i
$78$	−2.08538	−	1.34019i	−0.236122	−	0.151747i
$79$	2.36759	+	16.4670i	0.266375	+	1.85268i	0.481958	+	0.876194i	$0.339926\pi$
$79$	2.36759	+	16.4670i	0.266375	+	1.85268i	−0.215583	+	0.976486i	$0.569165\pi$
$80$	−0.345139	−	0.755750i	−0.0385877	−	0.0844954i
$81$	0.415415	+	0.909632i	0.0461572	+	0.101070i
$82$	−0.0366213	−	0.254707i	−0.00404415	−	0.0281276i
$83$	7.23562	+	4.65005i	0.794213	+	0.510410i	0.873723	−	0.486424i	$-0.161699\pi$
$83$	7.23562	+	4.65005i	0.794213	+	0.510410i	−0.0795097	+	0.996834i	$0.525335\pi$
$84$	0.959493	−	0.281733i	0.104689	−	0.0307395i
$85$	−0.588156	+	4.09071i	−0.0637945	+	0.443700i
$86$	−5.32265	+	6.14266i	−0.573956	+	0.662380i
$87$	−3.97112	+	2.55208i	−0.425749	+	0.273612i
$88$	−3.14200	−	3.62606i	−0.334938	−	0.386539i
$89$	4.51097	+	1.32454i	0.478162	+	0.140401i	0.511927	−	0.859029i	$-0.328932\pi$
$89$	4.51097	+	1.32454i	0.478162	+	0.140401i	−0.0337654	+	0.999430i	$0.510750\pi$
$90$	−0.345139	+	0.755750i	−0.0363809	+	0.0796630i
$91$	2.47889			0.259858
$92$	0.965501	−	4.69764i	0.100660	−	0.489763i
$93$	−7.58489			−0.786517
$94$	4.78744	−	10.4830i	0.493786	−	1.08124i
$95$	1.99884	+	0.586913i	0.205077	+	0.0602160i
$96$	−0.654861	−	0.755750i	−0.0668364	−	0.0771334i
$97$	2.23742	−	1.43790i	0.227176	−	0.145997i	−0.422102	−	0.906548i	$-0.638708\pi$
$97$	2.23742	−	1.43790i	0.227176	−	0.145997i	0.649278	+	0.760551i	$0.275071\pi$
$98$	−0.654861	+	0.755750i	−0.0661509	+	0.0763422i
$99$	−0.682822	+	4.74913i	−0.0686262	+	0.477306i
$100$	4.13515	−	1.21419i	0.413515	−	0.121419i
$101$	−15.9872	−	10.2743i	−1.59078	−	1.02233i	−0.971462	−	0.237197i	$-0.923771\pi$
$101$	−15.9872	−	10.2743i	−1.59078	−	1.02233i	−0.619322	−	0.785137i	$-0.712592\pi$
$102$	0.707914	+	4.92365i	0.0700939	+	0.487514i
$103$	3.90376	+	8.54804i	0.384649	+	0.842263i	0.998599	+	0.0529183i	$0.0168523\pi$
$103$	3.90376	+	8.54804i	0.384649	+	0.842263i	−0.613950	+	0.789345i	$0.710420\pi$
$104$	−1.02977	−	2.25488i	−0.100977	−	0.221109i
$105$	−0.118239	−	0.822373i	−0.0115390	−	0.0802554i
$106$	−10.1553	−	6.52640i	−0.986368	−	0.633900i
$107$	5.75701	−	1.69041i	0.556551	−	0.163418i	0.00865209	−	0.999963i	$-0.497246\pi$
$107$	5.75701	−	1.69041i	0.556551	−	0.163418i	0.547899	+	0.836544i	$0.315428\pi$
$108$	−0.142315	+	0.989821i	−0.0136943	+	0.0952456i
$109$	−5.56178	+	6.41863i	−0.532722	+	0.614794i	−0.956770	−	0.290846i	$-0.906063\pi$
$109$	−5.56178	+	6.41863i	−0.532722	+	0.614794i	0.424048	+	0.905640i	$0.360609\pi$
$110$	−3.35348	+	2.15515i	−0.319742	+	0.205486i
$111$	−3.23623	−	3.73481i	−0.307170	−	0.354493i
$112$	0.959493	+	0.281733i	0.0906636	+	0.0266212i
$113$	1.87164	−	4.09833i	0.176069	−	0.385538i	−0.800937	−	0.598749i	$-0.795665\pi$
$113$	1.87164	−	4.09833i	0.176069	−	0.385538i	0.977006	+	0.213211i	$0.0683921\pi$
$114$	2.50740			0.234840
$115$	−3.74905	−	1.34945i	−0.349601	−	0.125837i
$116$	−4.72048			−0.438286
$117$	−1.02977	+	2.25488i	−0.0952022	+	0.208464i
$118$	−9.05372	−	2.65841i	−0.833462	−	0.244727i
$119$	−3.25746	−	3.75931i	−0.298611	−	0.344615i
$120$	−0.698939	+	0.449181i	−0.0638041	+	0.0410044i
$121$	−7.87174	+	9.08448i	−0.715613	+	0.825862i
$122$	1.37952	−	9.59478i	0.124896	−	0.868670i
$123$	−0.246902	+	0.0724971i	−0.0222624	+	0.00653684i
$124$	−6.38082	−	4.10070i	−0.573014	−	0.368254i
$125$	−1.10078	−	7.65607i	−0.0984564	−	0.684779i
$126$	−0.415415	−	0.909632i	−0.0370081	−	0.0810365i
$127$	−7.83892	−	17.1648i	−0.695592	−	1.52313i	−0.845236	−	0.534393i	$-0.820540\pi$
$127$	−7.83892	−	17.1648i	−0.695592	−	1.52313i	0.149645	−	0.988740i	$-0.452187\pi$
$128$	−0.142315	−	0.989821i	−0.0125790	−	0.0874887i
$129$	6.83763	+	4.39428i	0.602020	+	0.386895i
$130$	−1.97611	+	0.580239i	−0.173316	+	0.0508903i
$131$	0.435579	−	3.02952i	0.0380567	−	0.264690i	−0.961905	−	0.273382i	$-0.911858\pi$
$131$	0.435579	−	3.02952i	0.0380567	−	0.264690i	0.999962	+	0.00869181i	$0.00276673\pi$
$132$	−3.14200	+	3.62606i	−0.273476	+	0.315608i
$133$	−2.10936	+	1.35560i	−0.182905	+	0.117546i
$134$	4.72681	+	5.45503i	0.408334	+	0.471243i
$135$	0.797176	+	0.234072i	0.0686099	+	0.0201457i
$136$	−2.06639	+	4.52476i	−0.177191	+	0.387995i
$137$	16.2284			1.38649			0.693243	−	0.720704i	$-0.256181\pi$
$137$	16.2284			1.38649			0.693243	+	0.720704i	$0.256181\pi$
$138$	−4.78723	−	0.287130i	−0.407516	−	0.0244421i
$139$	−5.13378			−0.435442			−0.217721	−	0.976011i	$-0.569862\pi$
$139$	−5.13378			−0.435442			−0.217721	+	0.976011i	$0.569862\pi$
$140$	0.345139	−	0.755750i	0.0291696	−	0.0638725i
$141$	−11.0576	−	3.24682i	−0.931222	−	0.273431i
$142$	6.88493	+	7.94563i	0.577770	+	0.666782i
$143$	−10.0056	+	6.43019i	−0.836707	+	0.537719i
$144$	−0.654861	+	0.755750i	−0.0545717	+	0.0629791i
$145$	−0.558147	+	3.88200i	−0.0463516	+	0.322382i
$146$	8.59609	−	2.52404i	0.711417	−	0.208891i
$147$	0.841254	+	0.540641i	0.0693854	+	0.0445913i
$148$	−0.703301	−	4.89156i	−0.0578110	−	0.402084i
$149$	−0.677839	−	1.48426i	−0.0555307	−	0.121595i	0.879833	−	0.475284i	$-0.157655\pi$
$149$	−0.677839	−	1.48426i	−0.0555307	−	0.121595i	−0.935363	+	0.353688i	$0.884927\pi$
$150$	−1.79032	−	3.92026i	−0.146179	−	0.320088i
$151$	3.08207	+	21.4363i	0.250815	+	1.74446i	0.593342	+	0.804950i	$0.297808\pi$
$151$	3.08207	+	21.4363i	0.250815	+	1.74446i	−0.342527	+	0.939508i	$0.611283\pi$
$152$	2.10936	+	1.35560i	0.171092	+	0.109954i
$153$	4.77279	−	1.40142i	0.385857	−	0.113298i
$154$	0.682822	−	4.74913i	0.0550234	−	0.382696i
$155$	−4.12677	+	4.76255i	−0.331470	+	0.382537i
$156$	−2.08538	+	1.34019i	−0.166964	+	0.107301i
$157$	−7.07843	−	8.16895i	−0.564920	−	0.651953i	0.399373	−	0.916788i	$-0.369228\pi$
$157$	−7.07843	−	8.16895i	−0.564920	−	0.651953i	−0.964294	+	0.264836i	$0.914682\pi$
$158$	15.9624	+	4.68699i	1.26990	+	0.372877i
$159$	−5.01473	+	10.9807i	−0.397694	+	0.870828i
$160$	−0.830830			−0.0656829
$161$	4.18251	−	2.34662i	0.329628	−	0.184940i
$162$	1.00000			0.0785674
$163$	−3.37239	+	7.38450i	−0.264146	+	0.578399i	−0.994508	−	0.104661i	$-0.966624\pi$
$163$	−3.37239	+	7.38450i	−0.264146	+	0.578399i	0.730362	+	0.683060i	$0.239351\pi$
$164$	−0.246902	−	0.0724971i	−0.0192798	−	0.00566107i
$165$	2.61047	+	3.01264i	0.203225	+	0.234534i
$166$	7.23562	−	4.65005i	0.561593	−	0.360914i
$167$	−9.46367	+	10.9217i	−0.732321	+	0.845143i	−0.992731	−	0.120355i	$-0.961597\pi$
$167$	−9.46367	+	10.9217i	−0.732321	+	0.845143i	0.260410	+	0.965498i	$0.416142\pi$
$168$	0.142315	−	0.989821i	0.0109798	−	0.0763664i
$169$	6.57742	−	1.93130i	0.505955	−	0.148562i
$170$	3.47672	+	2.23435i	0.266652	+	0.171367i
$171$	−0.356841	−	2.48188i	−0.0272883	−	0.189794i
$172$	3.37645	+	7.39340i	0.257452	+	0.563742i
$173$	8.93226	+	19.5589i	0.679107	+	1.48704i	0.863586	+	0.504201i	$0.168213\pi$
$173$	8.93226	+	19.5589i	0.679107	+	1.48704i	−0.184479	+	0.982836i	$0.559060\pi$
$174$	0.671794	+	4.67243i	0.0509286	+	0.354216i
$175$	3.62557	+	2.33001i	0.274067	+	0.176132i
$176$	−4.60362	+	1.35174i	−0.347011	+	0.101891i
$177$	−1.34287	+	9.33989i	−0.100937	+	0.702029i
$178$	3.07877	−	3.55309i	0.230763	−	0.266315i
$179$	−15.0648	+	9.68155i	−1.12600	+	0.723633i	−0.964720	−	0.263276i	$-0.915197\pi$
$179$	−15.0648	+	9.68155i	−1.12600	+	0.723633i	−0.161275	+	0.986910i	$0.551561\pi$
$180$	0.544078	+	0.627899i	0.0405532	+	0.0468009i
$181$	−19.7827	−	5.80872i	−1.47043	−	0.431759i	−0.554194	−	0.832387i	$-0.686974\pi$
$181$	−19.7827	−	5.80872i	−1.47043	−	0.431759i	−0.916240	+	0.400629i	$0.868792\pi$
$182$	1.02977	−	2.25488i	0.0763315	−	0.167143i
$183$	−9.69344			−0.716560
$184$	−3.87204	−	2.82972i	−0.285450	−	0.208610i
$185$	−4.10585			−0.301868
$186$	−3.15088	+	6.89946i	−0.231034	+	0.505893i
$187$	22.8997	+	6.72395i	1.67459	+	0.491704i
$188$	−7.54692	−	8.70961i	−0.550416	−	0.635214i
$189$	−0.841254	+	0.540641i	−0.0611922	+	0.0393258i
$190$	1.36422	−	1.57440i	0.0989711	−	0.114219i
$191$	0.310236	−	2.15774i	0.0224479	−	0.156128i	−0.975514	−	0.219936i	$-0.929415\pi$
$191$	0.310236	−	2.15774i	0.0224479	−	0.156128i	0.997962	+	0.0638073i	$0.0203243\pi$
$192$	−0.959493	+	0.281733i	−0.0692454	+	0.0203323i
$193$	−9.51764	−	6.11661i	−0.685095	−	0.440284i	0.151244	−	0.988496i	$-0.451672\pi$
$193$	−9.51764	−	6.11661i	−0.685095	−	0.440284i	−0.836339	+	0.548213i	$0.815308\pi$
$194$	−0.378504	−	2.63256i	−0.0271750	−	0.189007i
$195$	0.855563	+	1.87342i	0.0612681	+	0.134158i
$196$	0.415415	+	0.909632i	0.0296725	+	0.0649737i
$197$	0.304967	+	2.12109i	0.0217280	+	0.151121i	0.997797	−	0.0663388i	$-0.0211318\pi$
$197$	0.304967	+	2.12109i	0.0217280	+	0.151121i	−0.976069	+	0.217460i	$0.930223\pi$
$198$	4.03631	+	2.59398i	0.286848	+	0.184346i
$199$	−23.3782	+	6.86446i	−1.65724	+	0.486609i	−0.970662	−	0.240449i	$-0.922705\pi$
$199$	−23.3782	+	6.86446i	−1.65724	+	0.486609i	−0.686576	+	0.727058i	$0.740887\pi$
$200$	0.613337	−	4.26585i	0.0433695	−	0.301641i
$201$	4.72681	−	5.45503i	0.333403	−	0.384768i
$202$	−15.9872	+	10.2743i	−1.12485	+	0.722900i
$203$	−3.09126	−	3.56750i	−0.216964	−	0.250389i
$204$	4.77279	+	1.40142i	0.334162	+	0.0981188i
$205$	−0.0888133	+	0.194474i	−0.00620299	+	0.0135826i
$206$	9.39725			0.654737
$207$	0.397086	+	4.77936i	0.0275994	+	0.332189i
$208$	−2.47889			−0.171880
$209$	4.99762	−	10.9433i	0.345693	−	0.756962i
$210$	−0.797176	−	0.234072i	−0.0550103	−	0.0161525i
$211$	3.33754	+	3.85173i	0.229766	+	0.265164i	0.858912	−	0.512123i	$-0.171141\pi$
$211$	3.33754	+	3.85173i	0.229766	+	0.265164i	−0.629146	+	0.777287i	$0.716595\pi$
$212$	−10.1553	+	6.52640i	−0.697468	+	0.448235i
$213$	6.88493	−	7.94563i	0.471747	−	0.544425i
$214$	0.853897	−	5.93898i	0.0583712	−	0.405981i
$215$	6.47937	−	1.90251i	0.441889	−	0.129750i
$216$	0.841254	+	0.540641i	0.0572401	+	0.0367859i
$217$	−1.07944	−	7.50769i	−0.0732773	−	0.509655i
$218$	3.52815	+	7.72557i	0.238956	+	0.523241i
$219$	−3.72170	−	8.14938i	−0.251489	−	0.550684i
$220$	0.567309	+	3.94572i	0.0382480	+	0.266020i
$221$	10.3732	+	6.66648i	0.697780	+	0.448436i
$222$	−4.74169	+	1.39228i	−0.318241	+	0.0934440i
$223$	0.567820	−	3.94927i	0.0380240	−	0.264463i	−0.961937	−	0.273271i	$-0.911895\pi$
$223$	0.567820	−	3.94927i	0.0380240	−	0.264463i	0.999961	+	0.00880774i	$0.00280363\pi$
$224$	0.654861	−	0.755750i	0.0437547	−	0.0504956i
$225$	−3.62557	+	2.33001i	−0.241705	+	0.155334i
$226$	−2.95046	−	3.40501i	−0.196262	−	0.226498i
$227$	22.6867	+	6.66142i	1.50577	+	0.442134i	0.927535	−	0.373736i	$-0.121923\pi$
$227$	22.6867	+	6.66142i	1.50577	+	0.442134i	0.578236	+	0.815870i	$0.303741\pi$
$228$	1.04161	−	2.28081i	0.0689825	−	0.151051i
$229$	−2.04510			−0.135144			−0.0675722	−	0.997714i	$-0.521525\pi$
$229$	−2.04510			−0.135144			−0.0675722	+	0.997714i	$0.521525\pi$
$230$	−2.78491	+	2.84968i	−0.183632	+	0.187902i
$231$	−4.79797			−0.315683
$232$	−1.96096	+	4.29390i	−0.128743	+	0.281908i
$233$	26.2370	+	7.70387i	1.71884	+	0.504697i	0.984694	−	0.174292i	$-0.0557638\pi$
$233$	26.2370	+	7.70387i	1.71884	+	0.504697i	0.734148	+	0.678990i	$0.237582\pi$
$234$	1.62333	+	1.87342i	0.106120	+	0.122469i
$235$	−8.05490	+	5.17657i	−0.525444	+	0.337682i
$236$	−6.17923	+	7.13121i	−0.402233	+	0.464202i
$237$	2.36759	−	16.4670i	0.153792	−	1.06965i
$238$	−4.77279	+	1.40142i	−0.309374	+	0.0908403i
$239$	−13.6926	−	8.79972i	−0.885703	−	0.569207i	0.0168153	−	0.999859i	$-0.494647\pi$
$239$	−13.6926	−	8.79972i	−0.885703	−	0.569207i	−0.902518	+	0.430652i	$0.858284\pi$
$240$	0.118239	+	0.822373i	0.00763232	+	0.0530840i
$241$	4.02299	+	8.80912i	0.259144	+	0.567445i	0.993824	−	0.110968i	$-0.0353951\pi$
$241$	4.02299	+	8.80912i	0.259144	+	0.567445i	−0.734680	+	0.678413i	$0.762668\pi$
$242$	4.99349	+	10.9342i	0.320994	+	0.702878i
$243$	−0.142315	−	0.989821i	−0.00912950	−	0.0634971i
$244$	−8.15464	−	5.24067i	−0.522048	−	0.335500i
$245$	0.797176	−	0.234072i	0.0509297	−	0.0149543i
$246$	−0.0366213	+	0.254707i	−0.00233489	+	0.0162395i
$247$	4.07034	−	4.69742i	0.258990	−	0.298890i
$248$	−6.38082	+	4.10070i	−0.405182	+	0.260395i
$249$	−5.63246	−	6.50020i	−0.356943	−	0.411934i
$250$	−7.42148	−	2.17914i	−0.469376	−	0.137821i
$251$	−0.692605	+	1.51659i	−0.0437168	+	0.0957265i	−0.930230	−	0.366976i	$-0.880393\pi$
$251$	−0.692605	+	1.51659i	−0.0437168	+	0.0957265i	0.886513	+	0.462703i	$0.153120\pi$
$252$	−1.00000			−0.0629941
$253$	−10.7948	+	20.3210i	−0.678663	+	1.27757i
$254$	−18.8701			−1.18401
$255$	1.71682	−	3.75931i	0.107511	−	0.235417i
$256$	−0.959493	−	0.281733i	−0.0599683	−	0.0176083i
$257$	−7.47163	−	8.62272i	−0.466067	−	0.537870i	0.473246	−	0.880930i	$-0.343082\pi$
$257$	−7.47163	−	8.62272i	−0.466067	−	0.537870i	−0.939314	+	0.343060i	$0.888537\pi$
$258$	6.83763	−	4.39428i	0.425692	−	0.273576i
$259$	3.23623	−	3.73481i	0.201090	−	0.232070i
$260$	−0.293103	+	2.03857i	−0.0181775	+	0.126427i
$261$	4.52927	−	1.32991i	0.280355	−	0.0823195i
$262$	−2.57480	−	1.65472i	−0.159072	−	0.102229i
$263$	−0.375040	−	2.60846i	−0.0231260	−	0.160845i	0.974986	−	0.222267i	$-0.0713456\pi$
$263$	−0.375040	−	2.60846i	−0.0231260	−	0.160845i	−0.998112	+	0.0614219i	$0.980436\pi$
$264$	1.99315	+	4.36438i	0.122670	+	0.268609i
$265$	4.16639	+	9.12311i	0.255939	+	0.560428i
$266$	0.356841	+	2.48188i	0.0218793	+	0.152174i
$267$	−3.95508	−	2.54177i	−0.242047	−	0.155554i
$268$	6.92566	−	2.03356i	0.423052	−	0.124219i
$269$	3.19006	−	22.1874i	0.194502	−	1.35279i	−0.625409	−	0.780297i	$-0.715068\pi$
$269$	3.19006	−	22.1874i	0.194502	−	1.35279i	0.819911	−	0.572491i	$-0.194023\pi$
$270$	0.544078	−	0.627899i	0.0331115	−	0.0382127i
$271$	−8.73352	+	5.61270i	−0.530524	+	0.340947i	−0.778323	−	0.627865i	$-0.783929\pi$
$271$	−8.73352	+	5.61270i	−0.530524	+	0.340947i	0.247799	+	0.968812i	$0.420293\pi$
$272$	3.25746	+	3.75931i	0.197513	+	0.227942i
$273$	−2.37848	−	0.698384i	−0.143952	−	0.0422681i
$274$	6.74152	−	14.7619i	0.407270	−	0.891797i
$275$	−20.6779			−1.24692
$276$	−2.24987	+	4.23534i	−0.135426	+	0.254937i
$277$	21.3831			1.28478			0.642392	−	0.766376i	$-0.277942\pi$
$277$	21.3831			1.28478			0.642392	+	0.766376i	$0.277942\pi$
$278$	−2.13265	+	4.66985i	−0.127908	+	0.280079i
$279$	7.27765	+	2.13691i	0.435701	+	0.127933i
$280$	−0.544078	−	0.627899i	−0.0325149	−	0.0375242i
$281$	25.2930	−	16.2548i	1.50886	−	0.969683i	0.515218	−	0.857059i	$-0.327711\pi$
$281$	25.2930	−	16.2548i	1.50886	−	0.969683i	0.993638	−	0.112624i	$-0.0359256\pi$
$282$	−7.54692	+	8.70961i	−0.449413	+	0.518650i
$283$	1.85100	−	12.8740i	0.110030	−	0.765278i	−0.857856	−	0.513890i	$-0.828204\pi$
$283$	1.85100	−	12.8740i	0.110030	−	0.765278i	0.967886	−	0.251388i	$-0.0808869\pi$
$284$	10.0877	−	2.96202i	0.598595	−	0.175763i
$285$	−1.75252	−	1.12628i	−0.103810	−	0.0667149i
$286$	1.69264	+	11.7726i	0.100088	+	0.696127i
$287$	−0.106897	−	0.234072i	−0.00630993	−	0.0138168i
$288$	0.415415	+	0.909632i	0.0244786	+	0.0536006i
$289$	−1.10201	−	7.66463i	−0.0648240	−	0.450861i
$290$	3.29933	+	2.12035i	0.193743	+	0.124511i
$291$	−2.55189	+	0.749304i	−0.149595	+	0.0439250i
$292$	1.27500	−	8.86780i	0.0746136	−	0.518949i
$293$	7.76871	−	8.96557i	0.453853	−	0.523774i	−0.481997	−	0.876173i	$-0.660088\pi$
$293$	7.76871	−	8.96557i	0.453853	−	0.523774i	0.935850	+	0.352399i	$0.114634\pi$
$294$	0.841254	−	0.540641i	0.0490629	−	0.0315308i
$295$	5.13389	+	5.92482i	0.298906	+	0.344956i
$296$	−4.74169	−	1.39228i	−0.275605	−	0.0809249i
$297$	1.99315	−	4.36438i	0.115654	−	0.253247i
$298$	−1.63171			−0.0945227
$299$	−8.30916	+	8.50239i	−0.480531	+	0.491706i
$300$	−4.30972			−0.248822
$301$	−3.37645	+	7.39340i	−0.194616	+	0.426149i
$302$	20.7794	+	6.10140i	1.19572	+	0.351096i
$303$	12.4450	+	14.3623i	0.714945	+	0.825090i
$304$	2.10936	−	1.35560i	0.120980	−	0.0777493i
$305$	−5.27399	+	6.08651i	−0.301988	+	0.348512i
$306$	0.707914	−	4.92365i	0.0404687	−	0.281466i
$307$	−17.5313	+	5.14764i	−1.00056	+	0.293792i	−0.740687	−	0.671851i	$-0.765500\pi$
$307$	−17.5313	+	5.14764i	−1.00056	+	0.293792i	−0.259876	+	0.965642i	$0.583682\pi$
$308$	−4.03631	−	2.59398i	−0.229990	−	0.147806i
$309$	−1.33737	−	9.30160i	−0.0760802	−	0.529149i
$310$	2.61784	+	5.73228i	0.148684	+	0.325572i
$311$	−0.545747	−	1.19502i	−0.0309465	−	0.0677633i	0.893528	−	0.449008i	$-0.148223\pi$
$311$	−0.545747	−	1.19502i	−0.0309465	−	0.0677633i	−0.924474	+	0.381245i	$0.875495\pi$
$312$	0.352783	+	2.45366i	0.0199724	+	0.138911i
$313$	−15.5842	−	10.0154i	−0.880873	−	0.566103i	0.0201871	−	0.999796i	$-0.493574\pi$
$313$	−15.5842	−	10.0154i	−0.880873	−	0.566103i	−0.901061	+	0.433693i	$0.857210\pi$
$314$	−10.3712	+	3.04527i	−0.585282	+	0.171854i
$315$	−0.118239	+	0.822373i	−0.00666204	+	0.0463355i
$316$	10.8945	−	12.5729i	0.612862	−	0.707280i
$317$	−21.8804	+	14.0616i	−1.22892	+	0.789781i	−0.983723	−	0.179692i	$-0.942490\pi$
$317$	−21.8804	+	14.0616i	−1.22892	+	0.789781i	−0.245200	+	0.969472i	$0.578854\pi$
$318$	7.90522	+	9.12311i	0.443303	+	0.511599i
$319$	21.7313	+	6.38088i	1.21672	+	0.357261i
$320$	−0.345139	+	0.755750i	−0.0192939	+	0.0422477i
$321$	−6.00006			−0.334890
$322$	−0.397086	−	4.77936i	−0.0221287	−	0.266344i
$323$	−12.4725			−0.693990
$324$	0.415415	−	0.909632i	0.0230786	−	0.0505351i
$325$	−10.2506	−	3.00984i	−0.568600	−	0.166956i
$326$	5.31624	+	6.13527i	0.294439	+	0.339801i
$327$	7.14482	−	4.59170i	0.395110	−	0.253922i
$328$	−0.168513	+	0.194474i	−0.00930455	+	0.0107380i
$329$	1.64010	−	11.4072i	0.0904218	−	0.628897i
$330$	3.82482	−	1.12307i	0.210550	−	0.0618229i
$331$	−7.27548	−	4.67567i	−0.399897	−	0.256998i	0.325200	−	0.945645i	$-0.394568\pi$
$331$	−7.27548	−	4.67567i	−0.399897	−	0.256998i	−0.725096	+	0.688647i	$0.758205\pi$
$332$	−1.22405	−	8.51346i	−0.0671785	−	0.467237i
$333$	2.05293	+	4.49528i	0.112500	+	0.246340i
$334$	6.00334	+	13.1455i	0.328488	+	0.719288i
$335$	−0.853457	−	5.93592i	−0.0466293	−	0.324314i
$336$	−0.841254	−	0.540641i	−0.0458941	−	0.0294944i
$337$	12.7310	−	3.73816i	0.693503	−	0.203631i	0.0840599	−	0.996461i	$-0.473211\pi$
$337$	12.7310	−	3.73816i	0.693503	−	0.203631i	0.609443	+	0.792830i	$0.291393\pi$
$338$	0.975582	−	6.78532i	0.0530647	−	0.369073i
$339$	−2.95046	+	3.40501i	−0.160247	+	0.184935i
$340$	3.47672	−	2.23435i	0.188551	−	0.121175i
$341$	23.8317	+	27.5033i	1.29056	+	1.48939i
$342$	−2.40584	−	0.706417i	−0.130093	−	0.0381987i
$343$	−0.415415	+	0.909632i	−0.0224303	+	0.0491155i
$344$	8.12791			0.438227
$345$	3.21701	+	2.35102i	0.173198	+	0.126574i
$346$	21.5020			1.15596
$347$	−4.95985	+	10.8606i	−0.266259	+	0.583025i	−0.994785	−	0.101992i	$-0.967478\pi$
$347$	−4.95985	+	10.8606i	−0.266259	+	0.583025i	0.728526	+	0.685018i	$0.240206\pi$
$348$	4.52927	+	1.32991i	0.242794	+	0.0712908i
$349$	−14.6243	−	16.8773i	−0.782818	−	0.903421i	0.214491	−	0.976726i	$-0.431191\pi$
$349$	−14.6243	−	16.8773i	−0.782818	−	0.903421i	−0.997310	+	0.0733054i	$0.976645\pi$
$350$	3.62557	−	2.33001i	0.193795	−	0.124544i
$351$	1.62333	−	1.87342i	0.0866469	−	0.0999958i
$352$	−0.682822	+	4.74913i	−0.0363945	+	0.253130i
$353$	5.98940	−	1.75865i	0.318784	−	0.0936033i	−0.118426	−	0.992963i	$-0.537785\pi$
$353$	5.98940	−	1.75865i	0.318784	−	0.0936033i	0.437210	+	0.899360i	$0.355967\pi$
$354$	7.93802	+	5.10145i	0.421901	+	0.271139i
$355$	−1.24312	−	8.64608i	−0.0659779	−	0.458886i
$356$	−1.95304	−	4.27655i	−0.103511	−	0.226657i
$357$	2.06639	+	4.52476i	0.109365	+	0.239476i
$358$	2.54851	+	17.7253i	0.134693	+	0.936810i
$359$	−12.7497	−	8.19376i	−0.672905	−	0.432450i	0.159066	−	0.987268i	$-0.449152\pi$
$359$	−12.7497	−	8.19376i	−0.672905	−	0.432450i	−0.831972	+	0.554818i	$0.812788\pi$
$360$	0.797176	−	0.234072i	0.0420148	−	0.0123367i
$361$	1.80924	−	12.5835i	0.0952231	−	0.662291i
$362$	−13.5018	+	15.5819i	−0.709640	+	0.818968i
$363$	10.1123	−	6.49876i	0.530757	−	0.341097i
$364$	−1.62333	−	1.87342i	−0.0850855	−	0.0981939i
$365$	−7.14189	−	2.09705i	−0.373824	−	0.109764i
$366$	−4.02680	+	8.81747i	−0.210484	+	0.460896i
$367$	−36.6685			−1.91408			−0.957039	−	0.289960i	$-0.906358\pi$
$367$	−36.6685			−1.91408			−0.957039	+	0.289960i	$0.906358\pi$
$368$	−4.18251	+	2.34662i	−0.218028	+	0.122326i
$369$	0.257326			0.0133959
$370$	−1.70563	+	3.73481i	−0.0886716	+	0.194164i
$371$	−11.5826	−	3.40097i	−0.601340	−	0.176569i
$372$	4.96705	+	5.73228i	0.257529	+	0.297205i
$373$	18.7081	−	12.0230i	0.968668	−	0.622525i	0.0422844	−	0.999106i	$-0.486536\pi$
$373$	18.7081	−	12.0230i	0.968668	−	0.622525i	0.926384	+	0.376580i	$0.122900\pi$
$374$	15.6292	−	18.0370i	0.808166	−	0.932673i
$375$	−1.10078	+	7.65607i	−0.0568438	+	0.395358i
$376$	−11.0576	+	3.24682i	−0.570255	+	0.167442i
$377$	9.84398	+	6.32634i	0.506991	+	0.325823i
$378$	0.142315	+	0.989821i	0.00731989	+	0.0509109i
$379$	−11.0032	−	24.0937i	−0.565198	−	1.23761i	−0.949315	−	0.314326i	$-0.898222\pi$
$379$	−11.0032	−	24.0937i	−0.565198	−	1.23761i	0.384118	−	0.923284i	$-0.374506\pi$
$380$	−0.865403	−	1.89497i	−0.0443943	−	0.0972099i
$381$	2.68549	+	18.6780i	0.137582	+	0.956904i
$382$	−1.83387	−	1.17856i	−0.0938290	−	0.0603002i
$383$	11.2970	−	3.31711i	0.577252	−	0.169497i	0.0199423	−	0.999801i	$-0.493652\pi$
$383$	11.2970	−	3.31711i	0.577252	−	0.169497i	0.557310	+	0.830305i	$0.311834\pi$
$384$	−0.142315	+	0.989821i	−0.00726247	+	0.0505116i
$385$	−2.61047	+	3.01264i	−0.133042	+	0.153538i
$386$	−9.51764	+	6.11661i	−0.484435	+	0.311327i
$387$	−5.32265	−	6.14266i	−0.270565	−	0.312249i
$388$	−2.55189	−	0.749304i	−0.129553	−	0.0380401i
$389$	−5.68514	+	12.4487i	−0.288248	+	0.631175i	−0.997256	−	0.0740247i	$-0.976416\pi$
$389$	−5.68514	+	12.4487i	−0.288248	+	0.631175i	0.709008	+	0.705200i	$0.249143\pi$
$390$	2.05954			0.104289
$391$	23.8130	+	1.42826i	1.20428	+	0.0722305i
$392$	1.00000			0.0505076
$393$	−1.27145	+	2.78409i	−0.0641361	+	0.140439i
$394$	2.05610	+	0.603726i	0.103585	+	0.0304153i
$395$	−9.05145	−	10.4459i	−0.455428	−	0.525592i
$396$	4.03631	−	2.59398i	0.202832	−	0.130352i
$397$	−3.78826	+	4.37188i	−0.190127	+	0.219419i	−0.842808	−	0.538215i	$-0.819099\pi$
$397$	−3.78826	+	4.37188i	−0.190127	+	0.219419i	0.652681	+	0.757633i	$0.273644\pi$
$398$	−3.46753	+	24.1172i	−0.173811	+	1.20888i
$399$	2.40584	−	0.706417i	0.120442	−	0.0353651i
$400$	−3.62557	−	2.33001i	−0.181278	−	0.116501i
$401$	−2.15663	−	14.9997i	−0.107697	−	0.749050i	−0.970079	−	0.242791i	$-0.921937\pi$
$401$	−2.15663	−	14.9997i	−0.107697	−	0.749050i	0.862381	−	0.506259i	$-0.168972\pi$
$402$	−2.99848	−	6.56576i	−0.149551	−	0.327470i
$403$	7.81068	+	17.1030i	0.389078	+	0.851962i
$404$	2.70455	+	18.8106i	0.134556	+	0.935860i
$405$	−0.698939	−	0.449181i	−0.0347305	−	0.0223200i
$406$	−4.52927	+	1.32991i	−0.224784	+	0.0660025i
$407$	−3.37441	+	23.4696i	−0.167263	+	1.16334i
$408$	3.25746	−	3.75931i	0.161268	−	0.186114i
$409$	3.53445	−	2.27145i	0.174767	−	0.112316i	−0.450333	−	0.892861i	$-0.648695\pi$
$409$	3.53445	−	2.27145i	0.174767	−	0.112316i	0.625100	+	0.780545i	$0.285058\pi$
$410$	0.140005	+	0.161575i	0.00691437	+	0.00797961i
$411$	−15.5710	−	4.57207i	−0.768063	−	0.225524i
$412$	3.90376	−	8.54804i	0.192324	−	0.421132i
$413$	−9.43594			−0.464312
$414$	4.51242	+	1.62422i	0.221773	+	0.0798259i
$415$	−7.14597			−0.350782
$416$	−1.02977	+	2.25488i	−0.0504886	+	0.110555i
$417$	4.92583	+	1.44635i	0.241219	+	0.0708283i
$418$	−7.87826	−	9.09200i	−0.385338	−	0.444704i
$419$	30.6536	−	19.6999i	1.49753	−	0.962403i	0.502314	−	0.864685i	$-0.332482\pi$
$419$	30.6536	−	19.6999i	1.49753	−	0.962403i	0.995214	−	0.0977181i	$-0.0311543\pi$
$420$	−0.544078	+	0.627899i	−0.0265483	+	0.0306384i
$421$	5.27842	−	36.7122i	0.257255	−	1.78925i	−0.294926	−	0.955520i	$-0.595295\pi$
$421$	5.27842	−	36.7122i	0.257255	−	1.78925i	0.552180	−	0.833725i	$-0.313796\pi$
$422$	4.89012	−	1.43587i	0.238047	−	0.0698970i
$423$	9.69500	+	6.23060i	0.471387	+	0.302942i
$424$	1.71797	+	11.9487i	0.0834320	+	0.580282i
$425$	8.90557	+	19.5005i	0.431983	+	0.945912i
$426$	−4.36750	−	9.56348i	−0.211606	−	0.463352i
$427$	−1.37952	−	9.59478i	−0.0667597	−	0.464324i
$428$	−5.04757	−	3.24387i	−0.243983	−	0.156799i
$429$	11.4119	−	3.35083i	0.550970	−	0.161779i
$430$	0.961039	−	6.68417i	0.0463454	−	0.322339i
$431$	15.1083	−	17.4360i	0.727744	−	0.839861i	−0.264472	−	0.964393i	$-0.585198\pi$
$431$	15.1083	−	17.4360i	0.727744	−	0.839861i	0.992216	+	0.124533i	$0.0397431\pi$
$432$	0.841254	−	0.540641i	0.0404748	−	0.0260116i
$433$	−5.44666	−	6.28578i	−0.261750	−	0.302075i	0.609628	−	0.792687i	$-0.291319\pi$
$433$	−5.44666	−	6.28578i	−0.261750	−	0.302075i	−0.871378	+	0.490612i	$0.836773\pi$
$434$	−7.27765	−	2.13691i	−0.349338	−	0.102575i
$435$	1.62922	−	3.56750i	0.0781153	−	0.171049i
$436$	8.49307			0.406744
$437$	2.42090	−	11.7789i	0.115807	−	0.563460i
$438$	−8.95899			−0.428077
$439$	15.6120	−	34.1855i	0.745119	−	1.63158i	−0.0298270	−	0.999555i	$-0.509496\pi$
$439$	15.6120	−	34.1855i	0.745119	−	1.63158i	0.774946	−	0.632028i	$-0.217777\pi$
$440$	3.82482	+	1.12307i	0.182341	+	0.0535402i
$441$	−0.654861	−	0.755750i	−0.0311838	−	0.0359881i
$442$	10.3732	−	6.66648i	0.493405	−	0.317092i
$443$	12.8955	−	14.8822i	0.612685	−	0.707076i	−0.361616	−	0.932327i	$-0.617775\pi$
$443$	12.8955	−	14.8822i	0.612685	−	0.707076i	0.974301	+	0.225251i	$0.0723202\pi$
$444$	−0.703301	+	4.89156i	−0.0333772	+	0.232143i
$445$	−3.74785	+	1.10047i	−0.177665	+	0.0521672i
$446$	−3.35650	−	2.15709i	−0.158935	−	0.102141i
$447$	0.232217	+	1.61511i	0.0109835	+	0.0763919i
$448$	−0.415415	−	0.909632i	−0.0196265	−	0.0429761i
$449$	6.95422	+	15.2276i	0.328190	+	0.718636i	0.999751	−	0.0223136i	$-0.00710323\pi$
$449$	6.95422	+	15.2276i	0.328190	+	0.718636i	−0.671561	+	0.740949i	$0.734376\pi$
$450$	0.613337	+	4.26585i	0.0289130	+	0.201094i
$451$	1.03865	+	0.667497i	0.0489079	+	0.0314312i
$452$	−4.32297	+	1.26934i	−0.203336	+	0.0597047i
$453$	3.08207	−	21.4363i	0.144808	−	1.00716i
$454$	15.4839	−	17.8693i	0.726693	−	0.838649i
$455$	−1.73259	+	1.11347i	−0.0812252	+	0.0522003i
$456$	−1.64200	−	1.89497i	−0.0768937	−	0.0887401i
$457$	−7.40520	−	2.17436i	−0.346401	−	0.101712i	0.103904	−	0.994587i	$-0.466867\pi$
$457$	−7.40520	−	2.17436i	−0.346401	−	0.101712i	−0.450305	+	0.892875i	$0.648685\pi$
$458$	−0.849567	+	1.86029i	−0.0396977	+	0.0869258i
$459$	−4.97428			−0.232179
$460$	1.43526	+	3.71705i	0.0669194	+	0.173308i
$461$	−41.1225			−1.91527			−0.957633	−	0.287991i	$-0.907013\pi$
$461$	−41.1225			−1.91527			−0.957633	+	0.287991i	$0.907013\pi$
$462$	−1.99315	+	4.36438i	−0.0927296	+	0.203050i
$463$	0.777870	+	0.228403i	0.0361507	+	0.0106148i	0.299758	−	0.954015i	$-0.403094\pi$
$463$	0.777870	+	0.228403i	0.0361507	+	0.0106148i	−0.263607	+	0.964630i	$0.584912\pi$
$464$	3.09126	+	3.56750i	0.143508	+	0.165617i
$465$	5.30137	−	3.40699i	0.245845	−	0.157995i
$466$	17.9069	−	20.6657i	0.829522	−	0.957320i
$467$	−1.79590	+	12.4908i	−0.0831045	+	0.578005i	0.905139	+	0.425116i	$0.139767\pi$
$467$	−1.79590	+	12.4908i	−0.0831045	+	0.578005i	−0.988243	+	0.152889i	$0.951142\pi$
$468$	2.37848	−	0.698384i	0.109945	−	0.0322828i
$469$	6.07220	+	3.90237i	0.280388	+	0.180195i
$470$	1.36265	+	9.47742i	0.0628542	+	0.437161i
$471$	4.49025	+	9.83227i	0.206900	+	0.453047i
$472$	3.91983	+	8.58323i	0.180425	+	0.395075i
$473$	−5.54991	−	38.6005i	−0.255185	−	1.77485i
$474$	−13.9954	−	8.99427i	−0.642828	−	0.413120i
$475$	10.3685	−	3.04446i	0.475739	−	0.139689i
$476$	−0.707914	+	4.92365i	−0.0324472	+	0.225675i
$477$	7.90522	−	9.12311i	0.361955	−	0.417719i
$478$	−13.6926	+	8.79972i	−0.626286	+	0.402490i
$479$	−9.62721	−	11.1104i	−0.439879	−	0.507647i	0.491911	−	0.870645i	$-0.336298\pi$
$479$	−9.62721	−	11.1104i	−0.439879	−	0.507647i	−0.931790	+	0.362999i	$0.881753\pi$
$480$	0.797176	+	0.234072i	0.0363859	+	0.0106839i
$481$	−5.08898	+	11.1433i	−0.232037	+	0.508091i
$482$	9.68427			0.441106
$483$	−4.67421	+	1.07322i	−0.212684	+	0.0488331i
$484$	12.0205			0.546386
$485$	−0.917942	+	2.01001i	−0.0416816	+	0.0912700i
$486$	−0.959493	−	0.281733i	−0.0435235	−	0.0127796i
$487$	8.57096	+	9.89141i	0.388387	+	0.448223i	0.915949	−	0.401294i	$-0.131439\pi$
$487$	8.57096	+	9.89141i	0.388387	+	0.448223i	−0.527562	+	0.849516i	$0.676894\pi$
$488$	−8.15464	+	5.24067i	−0.369143	+	0.237234i
$489$	5.31624	−	6.13527i	0.240409	−	0.277446i
$490$	0.118239	−	0.822373i	0.00534151	−	0.0371510i
$491$	−37.6872	+	11.0660i	−1.70080	+	0.499400i	−0.980873	−	0.194649i	$-0.937643\pi$
$491$	−37.6872	+	11.0660i	−1.70080	+	0.499400i	−0.719928	+	0.694049i	$0.755825\pi$
$492$	0.216476	+	0.139121i	0.00975951	+	0.00627205i
$493$	−3.34169	−	23.2420i	−0.150502	−	1.04677i
$494$	−2.58205	−	5.65389i	−0.116172	−	0.254381i
$495$	−1.65597	−	3.62606i	−0.0744302	−	0.162979i
$496$	1.07944	+	7.50769i	0.0484684	+	0.337105i
$497$	8.84458	+	5.68407i	0.396734	+	0.254965i
$498$	−8.25260	+	2.42318i	−0.369808	+	0.108585i
$499$	−4.20822	+	29.2688i	−0.188386	+	1.31025i	0.647802	+	0.761809i	$0.275688\pi$
$499$	−4.20822	+	29.2688i	−0.188386	+	1.31025i	−0.836188	+	0.548443i	$0.815221\pi$
$500$	−5.06521	+	5.84557i	−0.226523	+	0.261422i
$501$	12.1573	−	7.81303i	0.543148	−	0.349060i
$502$	1.09182	+	1.26003i	0.0487304	+	0.0562379i
$503$	−17.2221	−	5.05687i	−0.767897	−	0.225475i	−0.125756	−	0.992061i	$-0.540136\pi$
$503$	−17.2221	−	5.05687i	−0.767897	−	0.225475i	−0.642141	+	0.766586i	$0.721954\pi$
$504$	−0.415415	+	0.909632i	−0.0185041	+	0.0405182i
$505$	15.7891			0.702605
$506$	14.0003	+	18.2609i	0.622390	+	0.811798i
$507$	−6.85510			−0.304446
$508$	−7.83892	+	17.1648i	−0.347796	+	0.761567i
$509$	−23.0279	−	6.76161i	−1.02070	−	0.299703i	−0.271773	−	0.962361i	$-0.587610\pi$
$509$	−23.0279	−	6.76161i	−1.02070	−	0.299703i	−0.748922	+	0.662658i	$0.769428\pi$
$510$	−2.70640	−	3.12335i	−0.119841	−	0.138304i
$511$	7.53678	−	4.84360i	0.333408	−	0.214268i
$512$	−0.654861	+	0.755750i	−0.0289410	+	0.0333997i
$513$	−0.356841	+	2.48188i	−0.0157549	+	0.109578i
$514$	−10.9473	+	3.21442i	−0.482866	+	0.141782i
$515$	−6.56810	−	4.22106i	−0.289425	−	0.186002i
$516$	−1.15672	−	8.04518i	−0.0509218	−	0.354169i
$517$	22.9700	+	50.2972i	1.01022	+	2.21207i
$518$	−2.05293	−	4.49528i	−0.0902004	−	0.197511i
$519$	−3.06006	−	21.2832i	−0.134322	−	0.934227i
$520$	1.73259	+	1.11347i	0.0759792	+	0.0488289i
$521$	−21.2568	+	6.24156i	−0.931277	+	0.273448i	−0.711971	−	0.702209i	$-0.752197\pi$
$521$	−21.2568	+	6.24156i	−0.931277	+	0.273448i	−0.219306	+	0.975656i	$0.570379\pi$
$522$	0.671794	−	4.67243i	0.0294036	−	0.204507i
$523$	4.44117	−	5.12538i	0.194199	−	0.224117i	−0.650296	−	0.759681i	$-0.725355\pi$
$523$	4.44117	−	5.12538i	0.194199	−	0.224117i	0.844495	+	0.535563i	$0.179901\pi$
$524$	−2.57480	+	1.65472i	−0.112481	+	0.0722870i
$525$	−2.82227	−	3.25707i	−0.123174	−	0.142150i
$526$	−2.52854	−	0.742446i	−0.110250	−	0.0323722i
$527$	15.6733	−	34.3198i	0.682742	−	1.49500i
$528$	4.79797			0.208805
$529$	−5.97091	+	22.2114i	−0.259605	+	0.965715i
$530$	10.0295			0.435652
$531$	3.91983	−	8.58323i	0.170106	−	0.372481i
$532$	2.40584	+	0.706417i	0.104306	+	0.0306271i
$533$	0.417725	+	0.482080i	0.0180937	+	0.0208812i
$534$	−3.95508	+	2.54177i	−0.171153	+	0.109993i
$535$	−3.26450	+	3.76743i	−0.141137	+	0.162880i
$536$	1.02723	−	7.14457i	0.0443698	−	0.308598i
$537$	17.1822	−	5.04514i	0.741465	−	0.217714i
$538$	−18.8571	−	12.1188i	−0.812989	−	0.522476i
$539$	−0.682822	−	4.74913i	−0.0294112	−	0.204560i
$540$	−0.345139	−	0.755750i	−0.0148524	−	0.0325223i
$541$	−7.80474	−	17.0900i	−0.335552	−	0.734757i	0.664368	−	0.747406i	$-0.268701\pi$
$541$	−7.80474	−	17.0900i	−0.335552	−	0.734757i	−0.999920	+	0.0126490i	$0.995974\pi$
$542$	1.47745	+	10.2759i	0.0634619	+	0.441387i
$543$	17.3448	+	11.1468i	0.744338	+	0.478357i
$544$	4.77279	−	1.40142i	0.204631	−	0.0600852i
$545$	1.00422	−	6.98447i	0.0430159	−	0.299182i
$546$	−1.62333	+	1.87342i	−0.0694721	+	0.0801750i
$547$	−5.57105	+	3.58029i	−0.238201	+	0.153082i	−0.654296	−	0.756239i	$-0.727035\pi$
$547$	−5.57105	+	3.58029i	−0.238201	+	0.153082i	0.416095	+	0.909321i	$0.363398\pi$
$548$	−10.6273	−	12.2646i	−0.453978	−	0.523918i
$549$	9.30079	+	2.73096i	0.396948	+	0.116554i
$550$	−8.58991	+	18.8093i	−0.366275	+	0.802030i
$551$	−11.8361			−0.504237
$552$	2.91797	+	3.80598i	0.124197	+	0.161993i
$553$	16.6363			0.707448
$554$	8.88285	−	19.4507i	0.377396	−	0.826382i
$555$	3.93953	+	1.15675i	0.167224	+	0.0491014i
$556$	3.36191	+	3.87985i	0.142577	+	0.164543i
$557$	−15.7864	+	10.1453i	−0.668891	+	0.429870i	−0.830526	−	0.556981i	$-0.811960\pi$
$557$	−15.7864	+	10.1453i	−0.668891	+	0.429870i	0.161635	+	0.986851i	$0.448323\pi$
$558$	4.96705	−	5.73228i	0.210272	−	0.242667i
$559$	2.86739	−	19.9431i	0.121278	−	0.843504i
$560$	−0.797176	+	0.234072i	−0.0336868	+	0.00989134i
$561$	−20.0777	−	12.9032i	−0.847682	−	0.544772i
$562$	−4.27882	−	29.7599i	−0.180491	−	1.25534i
$563$	2.54551	+	5.57388i	0.107280	+	0.234911i	0.955657	−	0.294482i	$-0.0951470\pi$
$563$	2.54551	+	5.57388i	0.107280	+	0.234911i	−0.848377	+	0.529393i	$0.822420\pi$
$564$	4.78744	+	10.4830i	0.201587	+	0.441415i
$565$	0.532725	+	3.70518i	0.0224119	+	0.155878i
$566$	−10.9416	−	7.03176i	−0.459911	−	0.295567i
$567$	0.959493	−	0.281733i	0.0402949	−	0.0118317i
$568$	1.49624	−	10.4066i	0.0627807	−	0.436650i
$569$	17.9630	−	20.7304i	0.753049	−	0.869065i	−0.241811	−	0.970323i	$-0.577741\pi$
$569$	17.9630	−	20.7304i	0.753049	−	0.869065i	0.994860	+	0.101258i	$0.0322868\pi$
$570$	−1.75252	+	1.12628i	−0.0734050	+	0.0471746i
$571$	27.5255	+	31.7662i	1.15191	+	1.32937i	0.935606	+	0.353046i	$0.114854\pi$
$571$	27.5255	+	31.7662i	1.15191	+	1.32937i	0.216302	+	0.976327i	$0.430601\pi$
$572$	11.4119	+	3.35083i	0.477154	+	0.140105i
$573$	−0.905574	+	1.98293i	−0.0378309	+	0.0828381i
$574$	−0.257326			−0.0107406
$575$	−20.1445	+	4.62527i	−0.840085	+	0.192887i
$576$	1.00000			0.0416667
$577$	1.63078	−	3.57091i	0.0678903	−	0.148659i	−0.872645	−	0.488355i	$-0.837597\pi$
$577$	1.63078	−	3.57091i	0.0678903	−	0.148659i	0.940535	+	0.339696i	$0.110324\pi$
$578$	−7.42978	−	2.18158i	−0.309038	−	0.0907418i
$579$	7.40886	+	8.55028i	0.307902	+	0.355337i
$580$	3.29933	−	2.12035i	0.136997	−	0.0880427i
$581$	5.63246	−	6.50020i	0.233674	−	0.269674i
$582$	−0.378504	+	2.63256i	−0.0156895	+	0.109123i
$583$	55.5730	−	16.3177i	2.30160	−	0.675811i
$584$	−7.53678	−	4.84360i	−0.311874	−	0.200429i
$585$	−0.293103	−	2.03857i	−0.0121183	−	0.0842847i
$586$	−4.92813	−	10.7911i	−0.203579	−	0.445776i
$587$	7.33920	+	16.0706i	0.302921	+	0.663305i	0.998477	−	0.0551672i	$-0.0175692\pi$
$587$	7.33920	+	16.0706i	0.302921	+	0.663305i	−0.695556	+	0.718472i	$0.744842\pi$
$588$	−0.142315	−	0.989821i	−0.00586897	−	0.0408195i
$589$	−15.9993	−	10.2821i	−0.659239	−	0.423667i
$590$	7.52210	−	2.20869i	0.309680	−	0.0909302i
$591$	0.304967	−	2.12109i	0.0125447	−	0.0872500i
$592$	−3.23623	+	3.73481i	−0.133008	+	0.153500i
$593$	19.1648	−	12.3165i	0.787005	−	0.505778i	−0.0843465	−	0.996436i	$-0.526880\pi$
$593$	19.1648	−	12.3165i	0.787005	−	0.505778i	0.871352	+	0.490659i	$0.163244\pi$
$594$	−3.14200	−	3.62606i	−0.128918	−	0.148779i
$595$	3.96537	+	1.16434i	0.162564	+	0.0477332i
$596$	−0.677839	+	1.48426i	−0.0277654	+	0.0607976i
$597$	24.3652			0.997200
$598$	4.28229	+	11.0903i	0.175116	+	0.453516i
$599$	6.26409			0.255944			0.127972	−	0.991778i	$-0.459153\pi$
$599$	6.26409			0.255944			0.127972	+	0.991778i	$0.459153\pi$
$600$	−1.79032	+	3.92026i	−0.0730896	+	0.160044i
$601$	19.1816	+	5.63221i	0.782432	+	0.229743i	0.648467	−	0.761243i	$-0.275411\pi$
$601$	19.1816	+	5.63221i	0.782432	+	0.229743i	0.133966	+	0.990986i	$0.457229\pi$
$602$	5.32265	+	6.14266i	0.216935	+	0.250356i
$603$	−6.07220	+	3.90237i	−0.247279	+	0.158917i
$604$	14.1821	−	16.3670i	0.577062	−	0.665965i
$605$	1.42130	−	9.88533i	0.0577839	−	0.401896i
$606$	18.2342	−	5.35404i	0.740714	−	0.217493i
$607$	−30.6501	−	19.6977i	−1.24405	−	0.799503i	−0.258032	−	0.966136i	$-0.583074\pi$
$607$	−30.6501	−	19.6977i	−1.24405	−	0.799503i	−0.986019	+	0.166633i	$0.946710\pi$
$608$	−0.356841	−	2.48188i	−0.0144718	−	0.100654i
$609$	1.96096	+	4.29390i	0.0794620	+	0.173998i
$610$	3.34559	+	7.32582i	0.135459	+	0.296614i
$611$	4.06564	+	28.2771i	0.164478	+	1.14397i
$612$	−4.18463	−	2.68930i	−0.169154	−	0.108708i
$613$	−9.48250	+	2.78431i	−0.382994	+	0.112457i	−0.467562	−	0.883960i	$-0.654867\pi$
$613$	−9.48250	+	2.78431i	−0.382994	+	0.112457i	0.0845672	+	0.996418i	$0.473049\pi$
$614$	−2.60029	+	18.0854i	−0.104939	+	0.729868i
$615$	0.140005	−	0.161575i	0.00564556	−	0.00651532i
$616$	−4.03631	+	2.59398i	−0.162627	+	0.104514i
$617$	−13.2737	−	15.3187i	−0.534380	−	0.616708i	0.422792	−	0.906227i	$-0.361050\pi$
$617$	−13.2737	−	15.3187i	−0.534380	−	0.616708i	−0.957172	+	0.289519i	$0.906505\pi$
$618$	−9.01659	−	2.64751i	−0.362701	−	0.106498i
$619$	−9.33207	+	20.4344i	−0.375088	+	0.821328i	0.624112	+	0.781335i	$0.285461\pi$
$619$	−9.33207	+	20.4344i	−0.375088	+	0.821328i	−0.999200	+	0.0399929i	$0.987266\pi$
$620$	6.30176			0.253085
$621$	0.965501	−	4.69764i	0.0387442	−	0.188510i
$622$	−1.31374			−0.0526761
$623$	1.95304	−	4.27655i	0.0782467	−	0.171336i
$624$	2.37848	+	0.698384i	0.0952154	+	0.0279578i
$625$	−9.90300	−	11.4287i	−0.396120	−	0.457147i
$626$	−15.5842	+	10.0154i	−0.622872	+	0.400295i
$627$	−7.87826	+	9.09200i	−0.314627	+	0.363099i
$628$	−1.53829	+	10.6990i	−0.0613845	+	0.426938i
$629$	23.5865	−	6.92561i	0.940454	−	0.276142i
$630$	0.698939	+	0.449181i	0.0278464	+	0.0178958i
$631$	0.752727	+	5.23533i	0.0299656	+	0.208415i	0.999304	−	0.0373163i	$-0.0118809\pi$
$631$	0.752727	+	5.23533i	0.0299656	+	0.208415i	−0.969338	+	0.245732i	$0.920972\pi$
$632$	−6.91097	−	15.1329i	−0.274904	−	0.601955i
$633$	−2.11719	−	4.63600i	−0.0841508	−	0.184265i
$634$	3.70150	+	25.7445i	0.147005	+	1.02244i
$635$	13.1890	+	8.47608i	0.523391	+	0.336363i
$636$	11.5826	−	3.40097i	0.459281	−	0.134857i
$637$	0.352783	−	2.45366i	0.0139778	−	0.0972175i
$638$	14.8317	−	17.1167i	0.587194	−	0.677659i
$639$	−8.84458	+	5.68407i	−0.349886	+	0.224858i
$640$	0.544078	+	0.627899i	0.0215066	+	0.0248199i
$641$	−13.2972	−	3.90441i	−0.525208	−	0.154215i	0.00837143	−	0.999965i	$-0.497335\pi$
$641$	−13.2972	−	3.90441i	−0.525208	−	0.154215i	−0.533579	+	0.845750i	$0.679153\pi$
$642$	−2.49251	+	5.45784i	−0.0983716	+	0.215404i
$643$	5.43508			0.214339			0.107169	−	0.994241i	$-0.465821\pi$
$643$	5.43508			0.214339			0.107169	+	0.994241i	$0.465821\pi$
$644$	−4.51242	−	1.62422i	−0.177814	−	0.0640031i
$645$	−6.75291			−0.265895
$646$	−5.18127	+	11.3454i	−0.203854	+	0.446379i
$647$	−4.79534	−	1.40804i	−0.188524	−	0.0553557i	0.186108	−	0.982529i	$-0.440413\pi$
$647$	−4.79534	−	1.40804i	−0.188524	−	0.0553557i	−0.374632	+	0.927174i	$0.622231\pi$
$648$	−0.654861	−	0.755750i	−0.0257254	−	0.0296886i
$649$	38.0863	−	24.4766i	1.49502	−	0.960791i
$650$	−6.99609	+	8.07392i	−0.274409	+	0.316685i
$651$	−1.07944	+	7.50769i	−0.0423067	+	0.294249i
$652$	7.78928	−	2.28714i	0.305052	−	0.0895713i
$653$	−16.1659	−	10.3892i	−0.632622	−	0.406562i	0.184657	−	0.982803i	$-0.440883\pi$
$653$	−16.1659	−	10.3892i	−0.632622	−	0.406562i	−0.817280	+	0.576241i	$0.804519\pi$
$654$	−1.20869	−	8.40662i	−0.0472635	−	0.328725i
$655$	1.05636	+	2.31310i	0.0412753	+	0.0903804i
$656$	0.106897	+	0.234072i	0.00417363	+	0.00913897i
$657$	1.27500	+	8.86780i	0.0497424	+	0.345966i
$658$	−9.69500	−	6.23060i	−0.377950	−	0.242894i
$659$	−19.8087	+	5.81637i	−0.771638	+	0.226573i	−0.643771	−	0.765218i	$-0.722631\pi$
$659$	−19.8087	+	5.81637i	−0.771638	+	0.226573i	−0.127867	+	0.991791i	$0.540813\pi$
$660$	0.567309	−	3.94572i	0.0220825	−	0.153587i
$661$	−19.8455	+	22.9030i	−0.771902	+	0.890822i	−0.996497	−	0.0836303i	$-0.973349\pi$
$661$	−19.8455	+	22.9030i	−0.771902	+	0.890822i	0.224595	+	0.974452i	$0.427894\pi$
$662$	−7.27548	+	4.67567i	−0.282770	+	0.181725i
$663$	−8.07489	−	9.31892i	−0.313603	−	0.361917i
$664$	−8.25260	−	2.42318i	−0.320263	−	0.0940377i
$665$	0.865403	−	1.89497i	0.0335589	−	0.0734837i
$666$	4.94187			0.191493
$667$	22.5980	+	1.35539i	0.874999	+	0.0524810i
$668$	14.4514			0.559142
$669$	−1.65746	+	3.62933i	−0.0640810	+	0.140318i
$670$	−5.75404	−	1.68954i	−0.222298	−	0.0652726i
$671$	30.4568	+	35.1490i	1.17577	+	1.35691i
$672$	−0.841254	+	0.540641i	−0.0324521	+	0.0208557i
$673$	−14.3793	+	16.5946i	−0.554282	+	0.639676i	−0.961875	−	0.273488i	$-0.911823\pi$
$673$	−14.3793	+	16.5946i	−0.554282	+	0.639676i	0.407593	+	0.913164i	$0.366368\pi$
$674$	1.88830	−	13.1334i	0.0727347	−	0.505881i
$675$	4.13515	−	1.21419i	0.159162	−	0.0467342i
$676$	−5.76687	−	3.70615i	−0.221803	−	0.142544i
$677$	−0.238817	−	1.66101i	−0.00917848	−	0.0638377i	0.984717	−	0.174160i	$-0.0557209\pi$
$677$	−0.238817	−	1.66101i	−0.00917848	−	0.0638377i	−0.993896	+	0.110322i	$0.964812\pi$
$678$	1.87164	+	4.09833i	0.0718800	+	0.157395i
$679$	−1.10485	−	2.41928i	−0.0424002	−	0.0928435i
$680$	−0.588156	−	4.09071i	−0.0225547	−	0.156872i
$681$	−19.8910	−	12.7832i	−0.762225	−	0.489853i
$682$	34.9179	−	10.2528i	1.33708	−	0.392601i
$683$	1.67562	−	11.6542i	0.0641159	−	0.445936i	−0.932324	−	0.361625i	$-0.882222\pi$
$683$	1.67562	−	11.6542i	0.0641159	−	0.445936i	0.996440	−	0.0843108i	$-0.0268689\pi$
$684$	−1.64200	+	1.89497i	−0.0627834	+	0.0724560i
$685$	−11.3427	+	7.28948i	−0.433381	+	0.278517i
$686$	0.654861	+	0.755750i	0.0250027	+	0.0288547i
$687$	1.96226	+	0.576173i	0.0748650	+	0.0219824i
$688$	3.37645	−	7.39340i	0.128726	−	0.281871i
$689$	29.9242			1.14002
$690$	3.47495	−	1.94964i	0.132289	−	0.0742217i
$691$	35.8705			1.36458			0.682290	−	0.731082i	$-0.260984\pi$
$691$	35.8705			1.36458			0.682290	+	0.731082i	$0.260984\pi$
$692$	8.93226	−	19.5589i	0.339554	−	0.743519i
$693$	4.60362	+	1.35174i	0.174877	+	0.0513485i
$694$	7.81871	+	9.02328i	0.296794	+	0.342519i
$695$	3.58820	−	2.30600i	0.136108	−	0.0874714i
$696$	3.09126	−	3.56750i	0.117174	−	0.135226i
$697$	0.182165	−	1.26698i	0.00689997	−	0.0479904i
$698$	−21.4273	+	6.29161i	−0.811034	+	0.238141i
$699$	−23.0038	−	14.7836i	−0.870082	−	0.559168i
$700$	−0.613337	−	4.26585i	−0.0231820	−	0.161234i
$701$	11.6813	+	25.5784i	0.441195	+	0.966083i	0.991377	+	0.131038i	$0.0418310\pi$
$701$	11.6813	+	25.5784i	0.441195	+	0.966083i	−0.550182	+	0.835045i	$0.685442\pi$
$702$	−1.02977	−	2.25488i	−0.0388661	−	0.0851049i
$703$	−1.76346	−	12.2651i	−0.0665101	−	0.462588i
$704$	4.03631	+	2.59398i	0.152124	+	0.0977642i
$705$	9.18702	−	2.69755i	0.346003	−	0.101596i
$706$	0.888366	−	6.17872i	0.0334341	−	0.232539i
$707$	−12.4450	+	14.3623i	−0.468041	+	0.540148i
$708$	7.93802	−	5.10145i	0.298329	−	0.191724i
$709$	0.763432	+	0.881047i	0.0286713	+	0.0330884i	0.769904	−	0.638160i	$-0.220304\pi$
$709$	0.763432	+	0.881047i	0.0286713	+	0.0330884i	−0.741233	+	0.671248i	$0.765759\pi$
$710$	−8.38116	−	2.46093i	−0.314539	−	0.0923571i
$711$	−6.91097	+	15.1329i	−0.259182	+	0.567529i
$712$	−4.70141			−0.176193
$713$	29.3690	+	21.4631i	1.09988	+	0.803800i
$714$	4.97428			0.186158
$715$	4.10496	−	8.98861i	0.153517	−	0.336155i
$716$	17.1822	+	5.04514i	0.642128	+	0.188546i
$717$	10.6588	+	12.3009i	0.398061	+	0.459387i
$718$	−12.7497	+	8.19376i	−0.475816	+	0.305788i
$719$	−14.1558	+	16.3366i	−0.527921	+	0.609253i	−0.955596	−	0.294679i	$-0.904787\pi$
$719$	−14.1558	+	16.3366i	−0.527921	+	0.609253i	0.427675	+	0.903932i	$0.359333\pi$
$720$	0.118239	−	0.822373i	0.00440652	−	0.0306480i
$721$	9.01659	−	2.64751i	0.335795	−	0.0985984i
$722$	−10.6948	−	6.87313i	−0.398019	−	0.255791i
$723$	−1.37822	−	9.58570i	−0.0512564	−	0.356496i
$724$	8.56496	+	18.7546i	0.318314	+	0.697011i
$725$	8.45118	+	18.5055i	0.313869	+	0.687277i
$726$	−1.71069	−	11.8981i	−0.0634898	−	0.441581i
$727$	−8.21550	−	5.27978i	−0.304696	−	0.195816i	0.379353	−	0.925252i	$-0.376146\pi$
$727$	−8.21550	−	5.27978i	−0.304696	−	0.195816i	−0.684050	+	0.729436i	$0.739783\pi$
$728$	−2.37848	+	0.698384i	−0.0881523	+	0.0258838i
$729$	−0.142315	+	0.989821i	−0.00527092	+	0.0366601i
$730$	−4.87439	+	5.62535i	−0.180409	+	0.208203i
$731$	−34.0123	+	21.8584i	−1.25799	+	0.808461i
$732$	6.34786	+	7.32582i	0.234623	+	0.270770i
$733$	31.0615	+	9.12048i	1.14728	+	0.336873i	0.799479	−	0.600695i	$-0.205109\pi$
$733$	31.0615	+	9.12048i	1.14728	+	0.336873i	0.347804	+	0.937567i	$0.386927\pi$
$734$	−15.2326	+	33.3548i	−0.562247	+	1.23115i
$735$	−0.830830			−0.0306456
$736$	0.397086	+	4.77936i	0.0146368	+	0.176170i
$737$	−34.6319			−1.27568
$738$	0.106897	−	0.234072i	0.00393493	−	0.00861630i
$739$	7.93777	+	2.33074i	0.291995	+	0.0857376i	0.424450	−	0.905452i	$-0.360468\pi$
$739$	7.93777	+	2.33074i	0.291995	+	0.0857376i	−0.132454	+	0.991189i	$0.542286\pi$
$740$	2.68876	+	3.10299i	0.0988408	+	0.114068i
$741$	−5.22888	+	3.36040i	−0.192088	+	0.123447i
$742$	−7.90522	+	9.12311i	−0.290210	+	0.334920i
$743$	5.16036	−	35.8911i	0.189315	−	1.31672i	−0.644470	−	0.764629i	$-0.722922\pi$
$743$	5.16036	−	35.8911i	0.189315	−	1.31672i	0.833786	−	0.552088i	$-0.186169\pi$
$744$	7.27765	−	2.13691i	0.266812	−	0.0783429i
$745$	1.14047	+	0.732935i	0.0417835	+	0.0268526i
$746$	−3.16485	−	22.0120i	−0.115873	−	0.805917i
$747$	3.57299	+	7.82375i	0.130729	+	0.286256i
$748$	−9.91447	−	21.7097i	−0.362509	−	0.793784i
$749$	−0.853897	−	5.93898i	−0.0312007	−	0.217006i
$750$	6.50692	+	4.18175i	0.237599	+	0.152696i
$751$	6.01013	−	1.76473i	0.219313	−	0.0643960i	−0.170230	−	0.985404i	$-0.554451\pi$
$751$	6.01013	−	1.76473i	0.219313	−	0.0643960i	0.389543	+	0.921008i	$0.372633\pi$
$752$	−1.64010	+	11.4072i	−0.0598084	+	0.415977i
$753$	1.09182	−	1.26003i	0.0397882	−	0.0459181i
$754$	9.84398	−	6.32634i	0.358496	−	0.230392i
$755$	−11.7829	−	13.5982i	−0.428825	−	0.494890i
$756$	0.959493	+	0.281733i	0.0348964	+	0.0102465i
$757$	−10.4833	+	22.9551i	−0.381021	+	0.834319i	0.617827	+	0.786314i	$0.288013\pi$
$757$	−10.4833	+	22.9551i	−0.381021	+	0.834319i	−0.998847	+	0.0480042i	$0.984714\pi$
$758$	−26.4873			−0.962062
$759$	16.0826	−	16.4566i	0.583762	−	0.597338i
$760$	−2.08323			−0.0755666
$761$	−11.3779	+	24.9141i	−0.412448	+	0.903136i	0.583407	+	0.812180i	$0.301719\pi$
$761$	−11.3779	+	24.9141i	−0.412448	+	0.903136i	−0.995855	+	0.0909555i	$0.971008\pi$
$762$	18.1057	+	5.31632i	0.655901	+	0.192590i
$763$	5.56178	+	6.41863i	0.201350	+	0.232370i
$764$	−1.83387	+	1.17856i	−0.0663471	+	0.0426387i
$765$	−2.70640	+	3.12335i	−0.0978499	+	0.112925i
$766$	1.67561	−	11.6541i	0.0605423	−	0.421081i
$767$	22.4432	−	6.58991i	0.810376	−	0.237948i
$768$	0.841254	+	0.540641i	0.0303561	+	0.0195087i
$769$	−0.880244	−	6.12223i	−0.0317424	−	0.220773i	0.967776	−	0.251814i	$-0.0810270\pi$
$769$	−0.880244	−	6.12223i	−0.0317424	−	0.220773i	−0.999518	+	0.0310404i	$0.990118\pi$
$770$	1.65597	+	3.62606i	0.0596769	+	0.130674i
$771$	4.73967	+	10.3784i	0.170695	+	0.373770i
$772$	1.61010	+	11.1985i	0.0579487	+	0.403042i
$773$	−9.28003	−	5.96391i	−0.333779	−	0.214507i	0.363006	−	0.931787i	$-0.381751\pi$
$773$	−9.28003	−	5.96391i	−0.333779	−	0.214507i	−0.696785	+	0.717280i	$0.745387\pi$
$774$	−7.79867	+	2.28990i	−0.280317	+	0.0823086i
$775$	−4.65210	+	32.3560i	−0.167108	+	1.16226i
$776$	−1.74169	+	2.01001i	−0.0625229	+	0.0721552i
$777$	−4.15736	+	2.67177i	−0.149145	+	0.0958494i
$778$	8.96207	+	10.3428i	0.321306	+	0.370806i
$779$	−0.619084	−	0.181779i	−0.0221810	−	0.00651292i
$780$	0.855563	−	1.87342i	0.0306341	−	0.0670792i
$781$	−50.4438			−1.80502
$782$	11.1915	−	21.0678i	0.400206	−	0.753381i
$783$	−4.72048			−0.168696
$784$	0.415415	−	0.909632i	0.0148363	−	0.0324869i
$785$	8.61672	+	2.53010i	0.307544	+	0.0903031i
$786$	2.00431	+	2.31310i	0.0714915	+	0.0825056i
$787$	31.8659	−	20.4789i	1.13590	−	0.729995i	0.169113	−	0.985597i	$-0.445910\pi$
$787$	31.8659	−	20.4789i	1.13590	−	0.729995i	0.966782	+	0.255601i	$0.0822734\pi$
$788$	1.40330	−	1.61950i	0.0499906	−	0.0576922i
$789$	−0.375040	+	2.60846i	−0.0133518	+	0.0928638i
$790$	−13.2621	+	3.89409i	−0.471843	+	0.138546i
$791$	−3.79025	−	2.43584i	−0.134766	−	0.0866087i
$792$	−0.682822	−	4.74913i	−0.0242630	−	0.168753i
$793$	9.98200	+	21.8575i	0.354471	+	0.776184i
$794$	2.40311	+	5.26207i	0.0852830	+	0.186744i
$795$	−1.42734	−	9.92737i	−0.0506225	−	0.352088i
$796$	20.4973	+	13.1728i	0.726507	+	0.466898i
$797$	30.0530	−	8.82434i	1.06453	−	0.312574i	0.297856	−	0.954611i	$-0.403728\pi$
$797$	30.0530	−	8.82434i	1.06453	−	0.312574i	0.766674	+	0.642036i	$0.221910\pi$
$798$	0.356841	−	2.48188i	0.0126320	−	0.0878577i
$799$	37.5405	−	43.3240i	1.32809	−	1.53269i
$800$	−3.62557	+	2.33001i	−0.128183	+	0.0823783i
$801$	3.07877	+	3.55309i	0.108783	+	0.125542i
$802$	−14.5401	−	4.26936i	−0.513429	−	0.150756i
$803$	−17.8566	+	39.1005i	−0.630145	+	1.37983i
$804$	−7.21804			−0.254561
$805$	−1.86926	+	3.51885i	−0.0658827	+	0.124023i
$806$	18.8021			0.662276
$807$	−9.31175	+	20.3899i	−0.327789	+	0.717758i
$808$	18.2342	+	5.35404i	0.641477	+	0.188355i
$809$	−26.1455	−	30.1735i	−0.919227	−	1.06084i	−0.997953	−	0.0639480i	$-0.979631\pi$
$809$	−26.1455	−	30.1735i	−0.919227	−	1.06084i	0.0787264	−	0.996896i	$-0.474915\pi$
$810$	−0.698939	+	0.449181i	−0.0245582	+	0.0157826i
$811$	−2.17089	+	2.50534i	−0.0762302	+	0.0879743i	−0.792583	−	0.609763i	$-0.791264\pi$
$811$	−2.17089	+	2.50534i	−0.0762302	+	0.0879743i	0.716353	+	0.697738i	$0.245810\pi$
$812$	−0.671794	+	4.67243i	−0.0235754	+	0.163970i
$813$	9.96103	−	2.92482i	0.349349	−	0.102578i
$814$	19.9469	+	12.8191i	0.699138	+	0.449309i
$815$	−0.959882	−	6.67613i	−0.0336232	−	0.233855i
$816$	−2.06639	−	4.52476i	−0.0723381	−	0.158398i
$817$	8.46613	+	18.5382i	0.296192	+	0.648571i
$818$	−0.597922	−	4.15864i	−0.0209059	−	0.145403i
$819$	2.08538	+	1.34019i	0.0728689	+	0.0468300i
$820$	0.205134	−	0.0602328i	0.00716359	−	0.00210342i
$821$	0.322001	−	2.23956i	0.0112379	−	0.0781613i	−0.983431	−	0.181285i	$-0.941975\pi$
$821$	0.322001	−	2.23956i	0.0112379	−	0.0781613i	0.994669	+	0.103123i	$0.0328836\pi$
$822$	−10.6273	+	12.2646i	−0.370671	+	0.427777i
$823$	−0.350723	+	0.225396i	−0.0122254	+	0.00785681i	−0.546739	−	0.837303i	$-0.684131\pi$
$823$	−0.350723	+	0.225396i	−0.0122254	+	0.00785681i	0.534514	+	0.845160i	$0.320495\pi$
$824$	−6.15389	−	7.10197i	−0.214381	−	0.247409i
$825$	19.8403	+	5.82564i	0.690751	+	0.202823i
$826$	−3.91983	+	8.58323i	−0.136388	+	0.298649i
$827$	−17.1723			−0.597140			−0.298570	−	0.954388i	$-0.596510\pi$
$827$	−17.1723			−0.597140			−0.298570	+	0.954388i	$0.596510\pi$
$828$	3.35197	−	3.42992i	0.116489	−	0.119198i
$829$	−18.3872			−0.638615			−0.319308	−	0.947651i	$-0.603450\pi$
$829$	−18.3872			−0.638615			−0.319308	+	0.947651i	$0.603450\pi$
$830$	−2.96854	+	6.50020i	−0.103040	+	0.225625i
$831$	−20.5169	−	6.02431i	−0.711724	−	0.208981i
$832$	1.62333	+	1.87342i	0.0562788	+	0.0649492i
$833$	−4.18463	+	2.68930i	−0.144989	+	0.0931787i
$834$	3.36191	−	3.87985i	0.116414	−	0.134348i
$835$	1.70873	−	11.8845i	0.0591330	−	0.411279i
$836$	−11.5431	+	3.38937i	−0.399227	+	0.117224i
$837$	−6.38082	−	4.10070i	−0.220553	−	0.141741i
$838$	−5.18568	−	36.0672i	−0.179136	−	1.24592i
$839$	−21.7208	−	47.5620i	−0.749887	−	1.64202i	−0.766569	−	0.642162i	$-0.778037\pi$
$839$	−21.7208	−	47.5620i	−0.749887	−	1.64202i	0.0166816	−	0.999861i	$-0.494690\pi$
$840$	0.345139	+	0.755750i	0.0119084	+	0.0260758i
$841$	0.955939	+	6.64870i	0.0329634	+	0.229266i
$842$	−31.2019	−	20.0522i	−1.07529	−	0.691046i
$843$	−28.8480	+	8.47054i	−0.993578	+	0.291741i
$844$	0.725317	−	5.04469i	0.0249665	−	0.173646i
$845$	−3.72971	+	4.30431i	−0.128306	+	0.148073i
$846$	9.69500	−	6.23060i	0.333321	−	0.214212i
$847$	7.87174	+	9.08448i	0.270476	+	0.312146i
$848$	11.5826	+	3.40097i	0.397749	+	0.116790i
$849$	−5.40303	+	11.8310i	−0.185432	+	0.406039i
$850$	21.4378			0.735309
$851$	1.96235	+	23.6190i	0.0672684	+	0.809648i
$852$	−10.5136			−0.360189
$853$	−10.2916	+	22.5356i	−0.352379	+	0.771603i	0.647575	+	0.762002i	$0.275783\pi$
$853$	−10.2916	+	22.5356i	−0.352379	+	0.771603i	−0.999954	+	0.00960089i	$0.996944\pi$
$854$	−9.30079	−	2.73096i	−0.318267	−	0.0934515i
$855$	1.36422	+	1.57440i	0.0466554	+	0.0538432i
$856$	−5.04757	+	3.24387i	−0.172522	+	0.110873i
$857$	−12.5515	+	14.4853i	−0.428753	+	0.494807i	−0.928483	−	0.371374i	$-0.878887\pi$
$857$	−12.5515	+	14.4853i	−0.428753	+	0.494807i	0.499731	+	0.866181i	$0.333432\pi$
$858$	1.69264	−	11.7726i	0.0577858	−	0.401909i
$859$	−3.75399	+	1.10227i	−0.128084	+	0.0376090i	−0.345147	−	0.938549i	$-0.612171\pi$
$859$	−3.75399	+	1.10227i	−0.128084	+	0.0376090i	0.217062	+	0.976158i	$0.430353\pi$
$860$	−5.68091	−	3.65090i	−0.193717	−	0.124495i
$861$	0.0366213	+	0.254707i	0.00124805	+	0.00868038i
$862$	−9.58408	−	20.9862i	−0.326435	−	0.714793i
$863$	22.6445	+	49.5845i	0.770827	+	1.68788i	0.724824	+	0.688934i	$0.241921\pi$
$863$	22.6445	+	49.5845i	0.770827	+	1.68788i	0.0460028	+	0.998941i	$0.485352\pi$
$864$	−0.142315	−	0.989821i	−0.00484165	−	0.0336744i
$865$	−15.0286	−	9.65829i	−0.510987	−	0.328392i
$866$	−7.98037	+	2.34325i	−0.271184	+	0.0796268i
$867$	−1.10201	+	7.66463i	−0.0374261	+	0.260305i
$868$	−4.96705	+	5.73228i	−0.168593	+	0.194566i
$869$	−67.1493	+	43.1542i	−2.27788	+	1.46391i
$870$	−2.56831	−	2.96399i	−0.0870738	−	0.100489i
$871$	−17.1680	−	5.04097i	−0.581714	−	0.170807i
$872$	3.52815	−	7.72557i	0.119478	−	0.261621i
$873$	2.65963			0.0900147
$874$	−9.70876	−	7.09525i	−0.328404	−	0.240000i
$875$	−7.73480			−0.261484
$876$	−3.72170	+	8.14938i	−0.125745	+	0.275342i
$877$	38.6337	+	11.3439i	1.30457	+	0.383056i	0.858900	−	0.512143i	$-0.171148\pi$
$877$	38.6337	+	11.3439i	1.30457	+	0.383056i	0.445668	+	0.895199i	$0.352966\pi$
$878$	−24.6107	−	28.4023i	−0.830572	−	0.958531i
$879$	−9.97992	+	6.41370i	−0.336614	+	0.216329i
$880$	2.61047	−	3.01264i	0.0879989	−	0.101556i
$881$	−0.571669	+	3.97604i	−0.0192600	+	0.133956i	−0.997183	−	0.0750105i	$-0.976101\pi$
$881$	−0.571669	+	3.97604i	−0.0192600	+	0.133956i	0.977923	+	0.208967i	$0.0670101\pi$
$882$	−0.959493	+	0.281733i	−0.0323078	+	0.00948643i
$883$	−11.5453	−	7.41972i	−0.388530	−	0.249693i	0.331763	−	0.943363i	$-0.392357\pi$
$883$	−11.5453	−	7.41972i	−0.388530	−	0.249693i	−0.720294	+	0.693669i	$0.755993\pi$
$884$	−1.75484	−	12.2052i	−0.0590217	−	0.410505i
$885$	−3.25671	−	7.13121i	−0.109473	−	0.239713i
$886$	−8.18036	−	17.9125i	−0.274825	−	0.601782i
$887$	7.07481	+	49.2064i	0.237549	+	1.65219i	0.664041	+	0.747696i	$0.268840\pi$
$887$	7.07481	+	49.2064i	0.237549	+	1.65219i	−0.426492	+	0.904491i	$0.640251\pi$
$888$	4.15736	+	2.67177i	0.139512	+	0.0896589i
$889$	−18.1057	+	5.31632i	−0.607246	+	0.178304i
$890$	−0.555892	+	3.86631i	−0.0186335	+	0.129599i
$891$	−3.14200	+	3.62606i	−0.105261	+	0.121478i
$892$	−3.35650	+	2.15709i	−0.112384	+	0.0722249i
$893$	−18.9232	−	21.8385i	−0.633240	−	0.730798i
$894$	1.56562	+	0.459707i	0.0523621	+	0.0153749i
$895$	6.18060	−	13.5336i	0.206595	−	0.452379i
$896$	−1.00000			−0.0334077
$897$	10.3680	−	5.81702i	0.346177	−	0.194225i
$898$	16.7404			0.558635
$899$	14.8737	−	32.5688i	0.496064	−	1.08623i
$900$	4.13515	+	1.21419i	0.137838	+	0.0404730i
$901$	−39.3228	−	45.3809i	−1.31003	−	1.51186i
$902$	1.03865	−	0.667497i	0.0345831	−	0.0222252i
$903$	5.32265	−	6.14266i	0.177127	−	0.204415i
$904$	−0.641196	+	4.45962i	−0.0213259	+	0.148325i
$905$	16.4360	−	4.82606i	0.546352	−	0.160424i
$906$	−18.2188	−	11.7085i	−0.605278	−	0.388989i
$907$	1.33979	+	9.31844i	0.0444870	+	0.309414i	0.999900	+	0.0141411i	$0.00450139\pi$
$907$	1.33979	+	9.31844i	0.0444870	+	0.309414i	−0.955413	+	0.295273i	$0.904590\pi$
$908$	−9.82228	−	21.5078i	−0.325964	−	0.713761i
$909$	−7.89454	−	17.2866i	−0.261845	−	0.573362i
$910$	0.293103	+	2.03857i	0.00971626	+	0.0675781i
$911$	39.3354	+	25.2793i	1.30324	+	0.837541i	0.993561	−	0.113300i	$-0.0361422\pi$
$911$	39.3354	+	25.2793i	1.30324	+	0.837541i	0.309678	+	0.950841i	$0.399779\pi$
$912$	−2.40584	+	0.706417i	−0.0796652	+	0.0233918i
$913$	−5.87295	+	40.8473i	−0.194366	+	1.35185i
$914$	−5.05410	+	5.83275i	−0.167175	+	0.192930i
$915$	6.77512	−	4.35411i	0.223979	−	0.143942i
$916$	1.33926	+	1.54559i	0.0442504	+	0.0510676i
$917$	−2.93669	−	0.862291i	−0.0969782	−	0.0284754i
$918$	−2.06639	+	4.52476i	−0.0682010	+	0.149339i
$919$	−49.5127			−1.63327			−0.816637	−	0.577151i	$-0.804164\pi$
$919$	−49.5127			−1.63327			−0.816637	+	0.577151i	$0.804164\pi$
$920$	3.97737	+	0.238556i	0.131130	+	0.00786497i
$921$	18.2714			0.602063
$922$	−17.0829	+	37.4064i	−0.562596	+	1.23191i
$923$	−25.0063	−	7.34251i	−0.823093	−	0.241682i
$924$	3.14200	+	3.62606i	0.103364	+	0.119289i
$925$	−17.9171	+	11.5146i	−0.589110	+	0.378598i
$926$	0.530902	−	0.612694i	0.0174465	−	0.0201344i
$927$	−1.33737	+	9.30160i	−0.0439249	+	0.305505i
$928$	4.52927	−	1.32991i	0.148680	−	0.0436565i
$929$	−19.6920	−	12.6553i	−0.646073	−	0.415206i	0.176156	−	0.984362i	$-0.443634\pi$
$929$	−19.6920	−	12.6553i	−0.646073	−	0.415206i	−0.822229	+	0.569156i	$0.807270\pi$
$930$	−0.896833	−	6.23761i	−0.0294083	−	0.204539i
$931$	1.04161	+	2.28081i	0.0341375	+	0.0747507i
$932$	−11.3594	−	24.8736i	−0.372089	−	0.814760i
$933$	0.186964	+	1.30037i	0.00612094	+	0.0425721i
$934$	10.6160	+	6.82247i	0.347365	+	0.223238i
$935$	−19.0257	+	5.58646i	−0.622208	+	0.182697i
$936$	0.352783	−	2.45366i	0.0115311	−	0.0802004i
$937$	5.75824	−	6.64536i	0.188113	−	0.217094i	−0.653857	−	0.756618i	$-0.726850\pi$
$937$	5.75824	−	6.64536i	0.188113	−	0.217094i	0.841970	+	0.539524i	$0.181396\pi$
$938$	6.07220	−	3.90237i	0.198264	−	0.127417i
$939$	12.1313	+	14.0003i	0.395890	+	0.456882i
$940$	9.18702	+	2.69755i	0.299648	+	0.0879845i
$941$	−14.6503	+	32.0797i	−0.477586	+	1.04577i	0.505535	+	0.862806i	$0.331295\pi$
$941$	−14.6503	+	32.0797i	−0.477586	+	1.04577i	−0.983120	+	0.182960i	$0.941432\pi$
$942$	10.8091			0.352178
$943$	1.16116	+	0.417953i	0.0378126	+	0.0136104i
$944$	9.43594			0.307114
$945$	0.345139	−	0.755750i	0.0112274	−	0.0245845i
$946$	−37.4178	−	10.9868i	−1.21656	−	0.357213i
$947$	20.6669	+	23.8509i	0.671584	+	0.775050i	0.984623	−	0.174690i	$-0.0558925\pi$
$947$	20.6669	+	23.8509i	0.671584	+	0.775050i	−0.313039	+	0.949740i	$0.601347\pi$
$948$	−13.9954	+	8.99427i	−0.454548	+	0.292120i
$949$	−14.5434	+	16.7840i	−0.472098	+	0.544831i
$950$	1.53788	−	10.6962i	0.0498955	−	0.347031i
$951$	24.9557	−	7.32765i	0.809243	−	0.237615i
$952$	4.18463	+	2.68930i	0.135625	+	0.0871607i
$953$	6.82201	+	47.4481i	0.220987	+	1.53700i	0.734319	+	0.678805i	$0.237502\pi$
$953$	6.82201	+	47.4481i	0.220987	+	1.53700i	−0.513332	+	0.858190i	$0.671589\pi$
$954$	−5.01473	−	10.9807i	−0.162358	−	0.355514i
$955$	0.752378	+	1.64748i	0.0243464	+	0.0533112i
$956$	2.31638	+	16.1108i	0.0749172	+	0.521060i
$957$	−19.0533	−	12.2448i	−0.615906	−	0.395819i
$958$	−14.1057	+	4.14179i	−0.455733	+	0.133815i
$959$	2.30954	−	16.0632i	0.0745790	−	0.518708i
$960$	0.544078	−	0.627899i	0.0175600	−	0.0202654i
$961$	22.3189	−	14.3435i	0.719966	−	0.462694i
$962$	8.02227	+	9.25820i	0.258648	+	0.298496i
$963$	5.75701	+	1.69041i	0.185517	+	0.0544727i
$964$	4.02299	−	8.80912i	0.129572	−	0.283723i
$965$	9.39971			0.302587
$966$	−0.965501	+	4.69764i	−0.0310645	+	0.151144i
$967$	17.4798			0.562113			0.281057	−	0.959691i	$-0.409315\pi$
$967$	17.4798			0.562113			0.281057	+	0.959691i	$0.409315\pi$
$968$	4.99349	−	10.9342i	0.160497	−	0.351439i
$969$	11.9673	+	3.51392i	0.384445	+	0.112883i
$970$	1.44704	+	1.66998i	0.0464618	+	0.0536198i
$971$	−12.0421	+	7.73898i	−0.386449	+	0.248356i	−0.719411	−	0.694585i	$-0.755588\pi$
$971$	−12.0421	+	7.73898i	−0.386449	+	0.248356i	0.332962	+	0.942940i	$0.391952\pi$
$972$	−0.654861	+	0.755750i	−0.0210047	+	0.0242407i
$973$	−0.730614	+	5.08153i	−0.0234224	+	0.162906i
$974$	12.5580	−	3.68738i	0.402386	−	0.118151i
$975$	8.98739	+	5.77585i	0.287827	+	0.184975i
$976$	1.37952	+	9.59478i	0.0441574	+	0.307121i
$977$	−2.43391	−	5.32952i	−0.0778677	−	0.170506i	0.866694	−	0.498840i	$-0.166240\pi$
$977$	−2.43391	−	5.32952i	−0.0778677	−	0.170506i	−0.944562	+	0.328333i	$0.893513\pi$
$978$	−3.37239	−	7.38450i	−0.107837	−	0.236130i
$979$	3.21023	+	22.3276i	0.102599	+	0.713593i
$980$	−0.698939	−	0.449181i	−0.0223268	−	0.0143485i
$981$	−8.14904	+	2.39277i	−0.260179	+	0.0763954i
$982$	−5.58988	+	38.8785i	−0.178380	+	1.24066i
$983$	1.00962	−	1.16517i	0.0322019	−	0.0371630i	−0.739420	−	0.673244i	$-0.764900\pi$
$983$	1.00962	−	1.16517i	0.0322019	−	0.0371630i	0.771622	+	0.636081i	$0.219446\pi$
$984$	0.216476	−	0.139121i	0.00690101	−	0.00443501i
$985$	−1.16591	−	1.34553i	−0.0371489	−	0.0428721i
$986$	−22.5298	−	6.61536i	−0.717496	−	0.210676i
$987$	−4.78744	+	10.4830i	−0.152386	+	0.333678i
$988$	−6.21558			−0.197744
$989$	−14.0410	−	36.3634i	−0.446477	−	1.15629i
$990$	−3.98629			−0.126693
$991$	13.7849	−	30.1847i	0.437891	−	0.958848i	−0.554089	−	0.832457i	$-0.686933\pi$
$991$	13.7849	−	30.1847i	0.437891	−	0.958848i	0.991981	−	0.126391i	$-0.0403393\pi$
$992$	7.27765	+	2.13691i	0.231066	+	0.0678470i
$993$	5.66349	+	6.53601i	0.179725	+	0.207414i
$994$	8.84458	−	5.68407i	0.280533	−	0.180288i
$995$	13.2566	−	15.2989i	0.420261	−	0.485007i
$996$	−1.22405	+	8.51346i	−0.0387855	+	0.269759i
$997$	−39.5148	+	11.6026i	−1.25145	+	0.367458i	−0.839304	−	0.543662i	$-0.817037\pi$
$997$	−39.5148	+	11.6026i	−1.25145	+	0.367458i	−0.412142	+	0.911120i	$0.635219\pi$
$998$	24.8757	+	15.9866i	0.787426	+	0.506048i
$999$	−0.703301	−	4.89156i	−0.0222515	−	0.154762i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.q.b.673.1	yes	10
23.4	even	11	inner	966.2.q.b.211.1	✓	10

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.q.b.211.1	✓	10	23.4	even	11	inner
966.2.q.b.673.1	yes	10	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)

\(f(q)\)	\(=\)	\(q+(0.415415 - 0.909632i) q^{2} +(-0.959493 - 0.281733i) q^{3} +(-0.654861 - 0.755750i) q^{4} +(-0.698939 + 0.449181i) q^{5} +(-0.654861 + 0.755750i) q^{6} +(0.142315 - 0.989821i) q^{7} +(-0.959493 + 0.281733i) q^{8} +(0.841254 + 0.540641i) q^{9} +O(q^{10})\)	\(q+(0.415415 - 0.909632i) q^{2} +(-0.959493 - 0.281733i) q^{3} +(-0.654861 - 0.755750i) q^{4} +(-0.698939 + 0.449181i) q^{5} +(-0.654861 + 0.755750i) q^{6} +(0.142315 - 0.989821i) q^{7} +(-0.959493 + 0.281733i) q^{8} +(0.841254 + 0.540641i) q^{9} +(0.118239 + 0.822373i) q^{10} +(1.99315 + 4.36438i) q^{11} +(0.415415 + 0.909632i) q^{12} +(0.352783 + 2.45366i) q^{13} +(-0.841254 - 0.540641i) q^{14} +(0.797176 - 0.234072i) q^{15} +(-0.142315 + 0.989821i) q^{16} +(3.25746 - 3.75931i) q^{17} +(0.841254 - 0.540641i) q^{18} +(-1.64200 - 1.89497i) q^{19} +(0.797176 + 0.234072i) q^{20} +(-0.415415 + 0.909632i) q^{21} +4.79797 q^{22} +(2.91797 + 3.80598i) q^{23} +1.00000 q^{24} +(-1.79032 + 3.92026i) q^{25} +(2.37848 + 0.698384i) q^{26} +(-0.654861 - 0.755750i) q^{27} +(-0.841254 + 0.540641i) q^{28} +(3.09126 - 3.56750i) q^{29} +(0.118239 - 0.822373i) q^{30} +(7.27765 - 2.13691i) q^{31} +(0.841254 + 0.540641i) q^{32} +(-0.682822 - 4.74913i) q^{33} +(-2.06639 - 4.52476i) q^{34} +(0.345139 + 0.755750i) q^{35} +(-0.142315 - 0.989821i) q^{36} +(4.15736 + 2.67177i) q^{37} +(-2.40584 + 0.706417i) q^{38} +(0.352783 - 2.45366i) q^{39} +(0.544078 - 0.627899i) q^{40} +(0.216476 - 0.139121i) q^{41} +(0.654861 + 0.755750i) q^{42} +(-7.79867 - 2.28990i) q^{43} +(1.99315 - 4.36438i) q^{44} -0.830830 q^{45} +(4.67421 - 1.07322i) q^{46} +11.5245 q^{47} +(0.415415 - 0.909632i) q^{48} +(-0.959493 - 0.281733i) q^{49} +(2.82227 + 3.25707i) q^{50} +(-4.18463 + 2.68930i) q^{51} +(1.62333 - 1.87342i) q^{52} +(1.71797 - 11.9487i) q^{53} +(-0.959493 + 0.281733i) q^{54} +(-3.35348 - 2.15515i) q^{55} +(0.142315 + 0.989821i) q^{56} +(1.04161 + 2.28081i) q^{57} +(-1.96096 - 4.29390i) q^{58} +(-1.34287 - 9.33989i) q^{59} +(-0.698939 - 0.449181i) q^{60} +(9.30079 - 2.73096i) q^{61} +(1.07944 - 7.50769i) q^{62} +(0.654861 - 0.755750i) q^{63} +(0.841254 - 0.540641i) q^{64} +(-1.34871 - 1.55649i) q^{65} +(-4.60362 - 1.35174i) q^{66} +(-2.99848 + 6.56576i) q^{67} -4.97428 q^{68} +(-1.72750 - 4.47389i) q^{69} +0.830830 q^{70} +(-4.36750 + 9.56348i) q^{71} +(-0.959493 - 0.281733i) q^{72} +(5.86689 + 6.77075i) q^{73} +(4.15736 - 2.67177i) q^{74} +(2.82227 - 3.25707i) q^{75} +(-0.356841 + 2.48188i) q^{76} +(4.60362 - 1.35174i) q^{77} +(-2.08538 - 1.34019i) q^{78} +(2.36759 + 16.4670i) q^{79} +(-0.345139 - 0.755750i) q^{80} +(0.415415 + 0.909632i) q^{81} +(-0.0366213 - 0.254707i) q^{82} +(7.23562 + 4.65005i) q^{83} +(0.959493 - 0.281733i) q^{84} +(-0.588156 + 4.09071i) q^{85} +(-5.32265 + 6.14266i) q^{86} +(-3.97112 + 2.55208i) q^{87} +(-3.14200 - 3.62606i) q^{88} +(4.51097 + 1.32454i) q^{89} +(-0.345139 + 0.755750i) q^{90} +2.47889 q^{91} +(0.965501 - 4.69764i) q^{92} -7.58489 q^{93} +(4.78744 - 10.4830i) q^{94} +(1.99884 + 0.586913i) q^{95} +(-0.654861 - 0.755750i) q^{96} +(2.23742 - 1.43790i) q^{97} +(-0.654861 + 0.755750i) q^{98} +(-0.682822 + 4.74913i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 10 q - q^{2} - q^{3} - q^{4} + 2 q^{5} - q^{6} + q^{7} - q^{8} - q^{9}+O(q^{10}) \) 10 * q - q^2 - q^3 - q^4 + 2 * q^5 - q^6 + q^7 - q^8 - q^9	\( 10 q - q^{2} - q^{3} - q^{4} + 2 q^{5} - q^{6} + q^{7} - q^{8} - q^{9} + 2 q^{10} + 7 q^{11} - q^{12} - 2 q^{13} + q^{14} + 2 q^{15} - q^{16} - 6 q^{17} - q^{18} + 11 q^{19} + 2 q^{20} + q^{21} + 18 q^{22} + 21 q^{23} + 10 q^{24} + q^{25} - 2 q^{26} - q^{27} + q^{28} - 20 q^{29} + 2 q^{30} + 18 q^{31} - q^{32} - 15 q^{33} + 5 q^{34} + 9 q^{35} - q^{36} + 5 q^{37} - 22 q^{38} - 2 q^{39} + 2 q^{40} + 6 q^{41} + q^{42} - 12 q^{43} + 7 q^{44} + 2 q^{45} + 21 q^{46} - 32 q^{47} - q^{48} - q^{49} + 12 q^{50} - 17 q^{51} + 9 q^{52} - 39 q^{53} - q^{54} + 8 q^{55} + q^{56} + 22 q^{57} + 13 q^{58} + 15 q^{59} + 2 q^{60} + 21 q^{61} - 4 q^{62} + q^{63} - q^{64} - 7 q^{65} - 4 q^{66} - 26 q^{67} - 6 q^{68} - 12 q^{69} - 2 q^{70} + 27 q^{71} - q^{72} - 2 q^{73} + 5 q^{74} + 12 q^{75} + 4 q^{77} - 2 q^{78} + 47 q^{79} - 9 q^{80} - q^{81} + 6 q^{82} + 5 q^{83} + q^{84} + q^{85} - 12 q^{86} - 9 q^{87} - 4 q^{88} + 5 q^{89} - 9 q^{90} + 24 q^{91} + 10 q^{92} - 26 q^{93} + 23 q^{94} - 11 q^{95} - q^{96} + 2 q^{97} - q^{98} - 15 q^{99}+O(q^{100}) \) 10 * q - q^2 - q^3 - q^4 + 2 * q^5 - q^6 + q^7 - q^8 - q^9 + 2 * q^10 + 7 * q^11 - q^12 - 2 * q^13 + q^14 + 2 * q^15 - q^16 - 6 * q^17 - q^18 + 11 * q^19 + 2 * q^20 + q^21 + 18 * q^22 + 21 * q^23 + 10 * q^24 + q^25 - 2 * q^26 - q^27 + q^28 - 20 * q^29 + 2 * q^30 + 18 * q^31 - q^32 - 15 * q^33 + 5 * q^34 + 9 * q^35 - q^36 + 5 * q^37 - 22 * q^38 - 2 * q^39 + 2 * q^40 + 6 * q^41 + q^42 - 12 * q^43 + 7 * q^44 + 2 * q^45 + 21 * q^46 - 32 * q^47 - q^48 - q^49 + 12 * q^50 - 17 * q^51 + 9 * q^52 - 39 * q^53 - q^54 + 8 * q^55 + q^56 + 22 * q^57 + 13 * q^58 + 15 * q^59 + 2 * q^60 + 21 * q^61 - 4 * q^62 + q^63 - q^64 - 7 * q^65 - 4 * q^66 - 26 * q^67 - 6 * q^68 - 12 * q^69 - 2 * q^70 + 27 * q^71 - q^72 - 2 * q^73 + 5 * q^74 + 12 * q^75 + 4 * q^77 - 2 * q^78 + 47 * q^79 - 9 * q^80 - q^81 + 6 * q^82 + 5 * q^83 + q^84 + q^85 - 12 * q^86 - 9 * q^87 - 4 * q^88 + 5 * q^89 - 9 * q^90 + 24 * q^91 + 10 * q^92 - 26 * q^93 + 23 * q^94 - 11 * q^95 - q^96 + 2 * q^97 - q^98 - 15 * q^99

Introduction

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