LMFDB - Embedded newform 961.2.g.b.732.1

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [961,2,Mod(235,961)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("961.235"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(961, base_ring=CyclotomicField(30)) chi = DirichletCharacter(H, H._module([26])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 961 = 31^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	961.g (of order $15$, degree $8$, not minimal)

Newform invariants

comment:select newform

sage:traces = [8,-6,-1,6,6,2,3] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(7)] == traces)

gp:f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$7.67362363425$
Analytic rank:	$0$
Dimension:	$8$
Coefficient field:	$\Q(\zeta_{15})$
comment:defining polynomial gp:f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} - x^{7} + x^{5} - x^{4} + x^{3} - x + 1 $ x^8 - x^7 + x^5 - x^4 + x^3 - x + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	no (minimal twist has level 31)
Sato-Tate group:	$\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label			732.1
Root			$0.669131 - 0.743145i$ of defining polynomial
Character	$\chi$	$=$	961.732
Dual form			961.2.g.b.235.1

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.30902 - 0.951057i) q^{2} +(-0.913545 - 0.406737i) q^{3} +(0.190983 + 0.587785i) q^{4} +(0.190983 - 0.330792i) q^{5} +(0.809017 + 1.40126i) q^{6} +(2.00739 - 2.22943i) q^{7} +(-0.690983 + 2.12663i) q^{8} +(-1.33826 - 1.48629i) q^{9} +(-0.564602 + 0.251377i) q^{10} +(5.12165 + 1.08864i) q^{11} +(0.0646021 - 0.614648i) q^{12} +(0.193806 + 1.84395i) q^{13} +(-4.74803 + 1.00922i) q^{14} +(-0.309017 + 0.224514i) q^{15} +(3.92705 - 2.85317i) q^{16} +(4.14350 - 0.880728i) q^{17} +(0.338261 + 3.21834i) q^{18} +(-0.522642 + 4.97261i) q^{19} +(0.230909 + 0.0490813i) q^{20} +(-2.74064 + 1.22021i) q^{21} +(-5.66897 - 6.29602i) q^{22} +(1.07295 - 3.30220i) q^{23} +(1.49622 - 1.66172i) q^{24} +(2.42705 + 4.20378i) q^{25} +(1.50000 - 2.59808i) q^{26} +(1.54508 + 4.75528i) q^{27} +(1.69381 + 0.754131i) q^{28} +(5.16312 + 3.75123i) q^{29} +0.618034 q^{30} -3.38197 q^{32} +(-4.23607 - 3.07768i) q^{33} +(-6.26153 - 2.78781i) q^{34} +(-0.354102 - 1.08981i) q^{35} +(0.618034 - 1.07047i) q^{36} +(2.11803 + 3.66854i) q^{37} +(5.41338 - 6.01217i) q^{38} +(0.572949 - 1.76336i) q^{39} +(0.571506 + 0.634721i) q^{40} +(-2.25841 + 1.00551i) q^{41} +(4.74803 + 1.00922i) q^{42} +(0.248983 - 2.36892i) q^{43} +(0.338261 + 3.21834i) q^{44} +(-0.747238 + 0.158830i) q^{45} +(-4.54508 + 3.30220i) q^{46} +(4.54508 - 3.30220i) q^{47} +(-4.74803 + 1.00922i) q^{48} +(-0.209057 - 1.98904i) q^{49} +(0.820977 - 7.81108i) q^{50} +(-4.14350 - 0.880728i) q^{51} +(-1.04683 + 0.466079i) q^{52} +(0.473881 + 0.526298i) q^{53} +(2.50000 - 7.69421i) q^{54} +(1.33826 - 1.48629i) q^{55} +(3.35410 + 5.80948i) q^{56} +(2.50000 - 4.33013i) q^{57} +(-3.19098 - 9.82084i) q^{58} +(0.482228 + 0.214702i) q^{59} +(-0.190983 - 0.138757i) q^{60} +10.9443 q^{61} -6.00000 q^{63} +(-3.42705 - 2.48990i) q^{64} +(0.646976 + 0.288052i) q^{65} +(2.61803 + 8.05748i) q^{66} +(-0.118034 + 0.204441i) q^{67} +(1.30902 + 2.26728i) q^{68} +(-2.32331 + 2.58030i) q^{69} +(-0.572949 + 1.76336i) q^{70} +(-7.42077 - 8.24160i) q^{71} +(4.08550 - 1.81898i) q^{72} +(-11.3096 - 2.40394i) q^{73} +(0.716449 - 6.81655i) q^{74} +(-0.507392 - 4.82751i) q^{75} +(-3.02264 + 0.642482i) q^{76} +(12.7082 - 9.23305i) q^{77} +(-2.42705 + 1.76336i) q^{78} +(-0.193806 - 1.84395i) q^{80} +(-0.104528 + 0.994522i) q^{81} +(3.91259 + 0.831647i) q^{82} +(6.47719 - 2.88383i) q^{83} +(-1.24064 - 1.37787i) q^{84} +(0.500000 - 1.53884i) q^{85} +(-2.57890 + 2.86416i) q^{86} +(-3.19098 - 5.52694i) q^{87} +(-5.85410 + 10.1396i) q^{88} +(-2.66312 - 8.19624i) q^{89} +(1.12920 + 0.502754i) q^{90} +(4.50000 + 3.26944i) q^{91} +2.14590 q^{92} -9.09017 q^{94} +(1.54508 + 1.12257i) q^{95} +(3.08958 + 1.37557i) q^{96} +(-5.78115 - 17.7926i) q^{97} +(-1.61803 + 2.80252i) q^{98} +(-5.23607 - 9.06914i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q - 6 q^{2} - q^{3} + 6 q^{4} + 6 q^{5} + 2 q^{6} + 3 q^{7} - 10 q^{8} - 2 q^{9} - 2 q^{10} + 2 q^{11} - 2 q^{12} - 6 q^{13} - 6 q^{14} + 2 q^{15} + 18 q^{16} + 3 q^{17} - 6 q^{18} + 5 q^{19} + 7 q^{20}+ \cdots - 24 q^{99}+O(q^{100}) $ 8 * q - 6 * q^2 - q^3 + 6 * q^4 + 6 * q^5 + 2 * q^6 + 3 * q^7 - 10 * q^8 - 2 * q^9 - 2 * q^10 + 2 * q^11 - 2 * q^12 - 6 * q^13 - 6 * q^14 + 2 * q^15 + 18 * q^16 + 3 * q^17 - 6 * q^18 + 5 * q^19 + 7 * q^20 - 3 * q^21 + 6 * q^22 + 22 * q^23 - 5 * q^24 + 6 * q^25 + 12 * q^26 - 10 * q^27 + 6 * q^28 + 10 * q^29 - 4 * q^30 - 36 * q^32 - 16 * q^33 - 11 * q^34 + 24 * q^35 - 4 * q^36 + 8 * q^37 - 10 * q^38 + 18 * q^39 - 10 * q^40 - 8 * q^41 + 6 * q^42 - q^43 - 6 * q^44 + 8 * q^45 - 14 * q^46 + 14 * q^47 - 6 * q^48 + 2 * q^49 - 12 * q^50 - 3 * q^51 + 3 * q^52 - 21 * q^53 + 20 * q^54 + 2 * q^55 + 20 * q^57 - 30 * q^58 - 5 * q^59 - 6 * q^60 + 16 * q^61 - 48 * q^63 - 14 * q^64 + 9 * q^65 + 12 * q^66 + 8 * q^67 + 6 * q^68 + 11 * q^69 - 18 * q^70 + 7 * q^71 + 10 * q^72 - 21 * q^73 - 11 * q^74 + 9 * q^75 - 15 * q^76 + 48 * q^77 - 6 * q^78 + 6 * q^80 + q^81 - 4 * q^82 + 14 * q^83 + 9 * q^84 + 4 * q^85 + 7 * q^86 - 30 * q^87 - 20 * q^88 + 10 * q^89 + 4 * q^90 + 36 * q^91 + 44 * q^92 - 28 * q^94 - 10 * q^95 + 2 * q^96 - 6 * q^97 - 4 * q^98 - 24 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/961\mathbb{Z}\right)^\times$.

$n$	$3$
$\chi(n)$	$e\left(\frac{2}{15}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−1.30902	−	0.951057i	−0.925615	−	0.672499i	0.0193004	−	0.999814i	$-0.493856\pi$
$2$	−1.30902	−	0.951057i	−0.925615	−	0.672499i	−0.944915	+	0.327315i	$0.893856\pi$
$3$	−0.913545	−	0.406737i	−0.527436	−	0.234830i	0.125703	−	0.992068i	$-0.459881\pi$
$3$	−0.913545	−	0.406737i	−0.527436	−	0.234830i	−0.653139	+	0.757238i	$0.726548\pi$
$4$	0.190983	+	0.587785i	0.0954915	+	0.293893i
$5$	0.190983	−	0.330792i	0.0854102	−	0.147935i	−0.820156	−	0.572140i	$-0.806113\pi$
$5$	0.190983	−	0.330792i	0.0854102	−	0.147935i	0.905566	+	0.424206i	$0.139447\pi$
$6$	0.809017	+	1.40126i	0.330280	+	0.572061i
$7$	2.00739	−	2.22943i	0.758723	−	0.842647i	−0.232807	−	0.972523i	$-0.574791\pi$
$7$	2.00739	−	2.22943i	0.758723	−	0.842647i	0.991530	+	0.129876i	$0.0414579\pi$
$8$	−0.690983	+	2.12663i	−0.244299	+	0.751876i
$9$	−1.33826	−	1.48629i	−0.446087	−	0.495430i
$10$	−0.564602	+	0.251377i	−0.178543	+	0.0794924i
$11$	5.12165	+	1.08864i	1.54423	+	0.328237i	0.899759	−	0.436387i	$-0.143742\pi$
$11$	5.12165	+	1.08864i	1.54423	+	0.328237i	0.644476	+	0.764625i	$0.277076\pi$
$12$	0.0646021	−	0.614648i	0.0186490	−	0.177434i
$13$	0.193806	+	1.84395i	0.0537522	+	0.511418i	0.987962	+	0.154695i	$0.0494395\pi$
$13$	0.193806	+	1.84395i	0.0537522	+	0.511418i	−0.934210	+	0.356723i	$0.883894\pi$
$14$	−4.74803	+	1.00922i	−1.26896	+	0.269727i
$15$	−0.309017	+	0.224514i	−0.0797878	+	0.0579693i
$16$	3.92705	−	2.85317i	0.981763	−	0.713292i
$17$	4.14350	−	0.880728i	1.00495	−	0.213608i	0.324091	−	0.946026i	$-0.394942\pi$
$17$	4.14350	−	0.880728i	1.00495	−	0.213608i	0.680855	+	0.732418i	$0.261608\pi$
$18$	0.338261	+	3.21834i	0.0797289	+	0.758570i
$19$	−0.522642	+	4.97261i	−0.119902	+	1.14079i	0.754739	+	0.656025i	$0.227763\pi$
$19$	−0.522642	+	4.97261i	−0.119902	+	1.14079i	−0.874642	+	0.484770i	$0.838903\pi$
$20$	0.230909	+	0.0490813i	0.0516329	+	0.0109749i
$21$	−2.74064	+	1.22021i	−0.598056	+	0.266272i
$22$	−5.66897	−	6.29602i	−1.20863	−	1.34232i
$23$	1.07295	−	3.30220i	0.223725	−	0.688556i	−0.774693	−	0.632337i	$-0.782096\pi$
$23$	1.07295	−	3.30220i	0.223725	−	0.688556i	0.998418	−	0.0562184i	$-0.0179043\pi$
$24$	1.49622	−	1.66172i	0.305415	−	0.339198i
$25$	2.42705	+	4.20378i	0.485410	+	0.840755i
$26$	1.50000	−	2.59808i	0.294174	−	0.509525i
$27$	1.54508	+	4.75528i	0.297352	+	0.915155i
$28$	1.69381	+	0.754131i	0.320099	+	0.142517i
$29$	5.16312	+	3.75123i	0.958767	+	0.696585i	0.952864	−	0.303397i	$-0.0981210\pi$
$29$	5.16312	+	3.75123i	0.958767	+	0.696585i	0.00590304	+	0.999983i	$0.498121\pi$
$30$	0.618034			0.112837
$31$		0			0
$31$		0			0
$32$	−3.38197			−0.597853
$33$	−4.23607	−	3.07768i	−0.737405	−	0.535756i
$34$	−6.26153	−	2.78781i	−1.07384	−	0.478106i
$35$	−0.354102	−	1.08981i	−0.0598542	−	0.184212i
$36$	0.618034	−	1.07047i	0.103006	−	0.178411i
$37$	2.11803	+	3.66854i	0.348203	+	0.603105i	0.985930	−	0.167157i	$-0.0534588\pi$
$37$	2.11803	+	3.66854i	0.348203	+	0.603105i	−0.637728	+	0.770262i	$0.720125\pi$
$38$	5.41338	−	6.01217i	0.878166	−	0.975302i
$39$	0.572949	−	1.76336i	0.0917453	−	0.282363i
$40$	0.571506	+	0.634721i	0.0903630	+	0.100358i
$41$	−2.25841	+	1.00551i	−0.352704	+	0.157034i	−0.575438	−	0.817845i	$-0.695168\pi$
$41$	−2.25841	+	1.00551i	−0.352704	+	0.157034i	0.222734	+	0.974879i	$0.428502\pi$
$42$	4.74803	+	1.00922i	0.732637	+	0.155727i
$43$	0.248983	−	2.36892i	0.0379696	−	0.361257i	−0.958996	−	0.283418i	$-0.908532\pi$
$43$	0.248983	−	2.36892i	0.0379696	−	0.361257i	0.996966	−	0.0778383i	$-0.0248018\pi$
$44$	0.338261	+	3.21834i	0.0509948	+	0.485183i
$45$	−0.747238	+	0.158830i	−0.111392	+	0.0236770i
$46$	−4.54508	+	3.30220i	−0.670136	+	0.486882i
$47$	4.54508	−	3.30220i	0.662969	−	0.481675i	−0.204695	−	0.978826i	$-0.565620\pi$
$47$	4.54508	−	3.30220i	0.662969	−	0.481675i	0.867664	+	0.497151i	$0.165620\pi$
$48$	−4.74803	+	1.00922i	−0.685319	+	0.145669i
$49$	−0.209057	−	1.98904i	−0.0298653	−	0.284149i
$50$	0.820977	−	7.81108i	0.116104	−	1.10465i
$51$	−4.14350	−	0.880728i	−0.580206	−	0.123327i
$52$	−1.04683	+	0.466079i	−0.145169	+	0.0646335i
$53$	0.473881	+	0.526298i	0.0650926	+	0.0722926i	0.774812	−	0.632192i	$-0.217845\pi$
$53$	0.473881	+	0.526298i	0.0650926	+	0.0722926i	−0.709719	+	0.704485i	$0.751178\pi$
$54$	2.50000	−	7.69421i	0.340207	−	1.04705i
$55$	1.33826	−	1.48629i	0.180451	−	0.200411i
$56$	3.35410	+	5.80948i	0.448211	+	0.776324i
$57$	2.50000	−	4.33013i	0.331133	−	0.573539i
$58$	−3.19098	−	9.82084i	−0.418997	−	1.28954i
$59$	0.482228	+	0.214702i	0.0627807	+	0.0279518i	0.437887	−	0.899030i	$-0.355727\pi$
$59$	0.482228	+	0.214702i	0.0627807	+	0.0279518i	−0.375106	+	0.926982i	$0.622394\pi$
$60$	−0.190983	−	0.138757i	−0.0246558	−	0.0179135i
$61$	10.9443			1.40127			0.700635	−	0.713520i	$-0.252900\pi$
$61$	10.9443			1.40127			0.700635	+	0.713520i	$0.252900\pi$
$62$		0			0
$63$	−6.00000			−0.755929
$64$	−3.42705	−	2.48990i	−0.428381	−	0.311237i
$65$	0.646976	+	0.288052i	0.0802476	+	0.0357285i
$66$	2.61803	+	8.05748i	0.322258	+	0.991807i
$67$	−0.118034	+	0.204441i	−0.0144201	+	0.0249764i	−0.873145	−	0.487460i	$-0.837924\pi$
$67$	−0.118034	+	0.204441i	−0.0144201	+	0.0249764i	0.858725	+	0.512436i	$0.171257\pi$
$68$	1.30902	+	2.26728i	0.158742	+	0.274949i
$69$	−2.32331	+	2.58030i	−0.279694	+	0.310632i
$70$	−0.572949	+	1.76336i	−0.0684805	+	0.210761i
$71$	−7.42077	−	8.24160i	−0.880684	−	0.978098i	0.119207	−	0.992869i	$-0.461965\pi$
$71$	−7.42077	−	8.24160i	−0.880684	−	0.978098i	−0.999891	+	0.0147711i	$0.995298\pi$
$72$	4.08550	−	1.81898i	0.481481	−	0.214369i
$73$	−11.3096	−	2.40394i	−1.32369	−	0.281360i	−0.508757	−	0.860910i	$-0.669895\pi$
$73$	−11.3096	−	2.40394i	−1.32369	−	0.281360i	−0.814936	+	0.579550i	$0.803228\pi$
$74$	0.716449	−	6.81655i	0.0832855	−	0.792408i
$75$	−0.507392	−	4.82751i	−0.0585886	−	0.557433i
$76$	−3.02264	+	0.642482i	−0.346721	+	0.0736978i
$77$	12.7082	−	9.23305i	1.44823	−	1.05220i
$78$	−2.42705	+	1.76336i	−0.274809	+	0.199661i
$79$		0			0		−0.207912	−	0.978148i	$-0.566667\pi$
$79$		0			0		0.207912	+	0.978148i	$0.433333\pi$
$80$	−0.193806	−	1.84395i	−0.0216682	−	0.206159i
$81$	−0.104528	+	0.994522i	−0.0116143	+	0.110502i
$82$	3.91259	+	0.831647i	0.432073	+	0.0918400i
$83$	6.47719	−	2.88383i	0.710964	−	0.316542i	−0.0191978	−	0.999816i	$-0.506111\pi$
$83$	6.47719	−	2.88383i	0.710964	−	0.316542i	0.730162	+	0.683274i	$0.239445\pi$
$84$	−1.24064	−	1.37787i	−0.135365	−	0.150338i
$85$	0.500000	−	1.53884i	0.0542326	−	0.166911i
$86$	−2.57890	+	2.86416i	−0.278090	+	0.308850i
$87$	−3.19098	−	5.52694i	−0.342109	−	0.592551i
$88$	−5.85410	+	10.1396i	−0.624049	+	1.08089i
$89$	−2.66312	−	8.19624i	−0.282290	−	0.868799i	−0.987198	−	0.159500i	$-0.949012\pi$
$89$	−2.66312	−	8.19624i	−0.282290	−	0.868799i	0.704908	−	0.709299i	$-0.250988\pi$
$90$	1.12920	+	0.502754i	0.119029	+	0.0529949i
$91$	4.50000	+	3.26944i	0.471728	+	0.342731i
$92$	2.14590			0.223725
$93$		0			0
$94$	−9.09017			−0.937579
$95$	1.54508	+	1.12257i	0.158522	+	0.115173i
$96$	3.08958	+	1.37557i	0.315329	+	0.140393i
$97$	−5.78115	−	17.7926i	−0.586987	−	1.80656i	−0.591140	−	0.806569i	$-0.701322\pi$
$97$	−5.78115	−	17.7926i	−0.586987	−	1.80656i	0.00415240	−	0.999991i	$-0.498678\pi$
$98$	−1.61803	+	2.80252i	−0.163446	+	0.283097i
$99$	−5.23607	−	9.06914i	−0.526245	−	0.911482i
$100$	−2.00739	+	2.22943i	−0.200739	+	0.222943i
$101$	2.85410	−	8.78402i	0.283994	−	0.874043i	−0.702705	−	0.711482i	$-0.748024\pi$
$101$	2.85410	−	8.78402i	0.283994	−	0.874043i	0.986698	−	0.162561i	$-0.0519755\pi$
$102$	4.58629	+	5.09359i	0.454110	+	0.504341i
$103$	−6.26153	+	2.78781i	−0.616967	+	0.274692i	−0.691329	−	0.722540i	$-0.742975\pi$
$103$	−6.26153	+	2.78781i	−0.616967	+	0.274692i	0.0743621	+	0.997231i	$0.476308\pi$
$104$	−4.05530	−	0.861981i	−0.397655	−	0.0845242i
$105$	−0.119779	+	1.13962i	−0.0116892	+	0.111216i
$106$	−0.119779	−	1.13962i	−0.0116340	−	0.110690i
$107$	9.86968	−	2.09786i	0.954138	−	0.202808i	0.295563	−	0.955323i	$-0.404493\pi$
$107$	9.86968	−	2.09786i	0.954138	−	0.202808i	0.658575	+	0.752515i	$0.271160\pi$
$108$	−2.50000	+	1.81636i	−0.240563	+	0.174779i
$109$	−14.8992	+	10.8249i	−1.42708	+	1.03684i	−0.436533	+	0.899688i	$0.643794\pi$
$109$	−14.8992	+	10.8249i	−1.42708	+	1.03684i	−0.990551	+	0.137148i	$0.956206\pi$
$110$	−3.16535	+	0.672816i	−0.301804	+	0.0641505i
$111$	−0.442790	−	4.21286i	−0.0420277	−	0.399867i
$112$	1.52218	−	14.4825i	0.143832	−	1.36847i
$113$	−4.74803	−	1.00922i	−0.446657	−	0.0949399i	−0.0209084	−	0.999781i	$-0.506656\pi$
$113$	−4.74803	−	1.00922i	−0.446657	−	0.0949399i	−0.425749	+	0.904842i	$0.639989\pi$
$114$	−7.39074	+	3.29057i	−0.692206	+	0.308190i
$115$	−0.887426	−	0.985587i	−0.0827529	−	0.0919064i
$116$	−1.21885	+	3.75123i	−0.113167	+	0.348293i
$117$	2.48127	−	2.75573i	0.229394	−	0.254768i
$118$	−0.427051	−	0.739674i	−0.0393132	−	0.0680925i
$119$	6.35410	−	11.0056i	0.582480	−	1.00888i
$120$	−0.263932	−	0.812299i	−0.0240936	−	0.0741524i
$121$	14.9971	+	6.67715i	1.36338	+	0.607014i
$122$	−14.3262	−	10.4086i	−1.29704	−	0.942352i
$123$	2.47214			0.222905
$124$		0			0
$125$	3.76393			0.336656
$126$	7.85410	+	5.70634i	0.699699	+	0.508361i
$127$	5.26561	+	2.34440i	0.467248	+	0.208032i	0.626835	−	0.779152i	$-0.284350\pi$
$127$	5.26561	+	2.34440i	0.467248	+	0.208032i	−0.159588	+	0.987184i	$0.551016\pi$
$128$	4.20820	+	12.9515i	0.371956	+	1.14476i
$129$	−1.19098	+	2.06284i	−0.104860	+	0.181623i
$130$	−0.572949	−	0.992377i	−0.0502510	−	0.0870372i
$131$	−7.42077	+	8.24160i	−0.648356	+	0.720072i	−0.974284	−	0.225322i	$-0.927656\pi$
$131$	−7.42077	+	8.24160i	−0.648356	+	0.720072i	0.325928	+	0.945394i	$0.394323\pi$
$132$	1.00000	−	3.07768i	0.0870388	−	0.267878i
$133$	10.0370	+	11.1472i	0.870315	+	0.966582i
$134$	0.348943	−	0.155360i	0.0301441	−	0.0134210i
$135$	1.86810	+	0.397076i	0.160780	+	0.0341749i
$136$	−0.990108	+	9.42025i	−0.0849010	+	0.807779i
$137$	−0.258409	−	2.45859i	−0.0220773	−	0.210052i	−0.999999	−	0.00108194i	$-0.999656\pi$
$137$	−0.258409	−	2.45859i	−0.0220773	−	0.210052i	0.977922	−	0.208970i	$-0.0670111\pi$
$138$	5.49527	−	1.16805i	0.467788	−	0.0994314i
$139$	0.690983	−	0.502029i	0.0586084	−	0.0425815i	−0.558095	−	0.829777i	$-0.688468\pi$
$139$	0.690983	−	0.502029i	0.0586084	−	0.0425815i	0.616704	+	0.787195i	$0.288468\pi$
$140$	0.572949	−	0.416272i	0.0484230	−	0.0351814i
$141$	−5.49527	+	1.16805i	−0.462785	+	0.0983680i
$142$	1.87569	+	17.8460i	0.157404	+	1.49760i
$143$	−1.01478	+	9.65502i	−0.0848605	+	0.807393i
$144$	−9.49606	−	2.01845i	−0.791338	−	0.168204i
$145$	2.22694	−	0.991500i	0.184938	−	0.0823396i
$146$	12.5182	+	13.9029i	1.03602	+	1.15061i
$147$	−0.618034	+	1.90211i	−0.0509746	+	0.156884i
$148$	−1.75181	+	1.94558i	−0.143998	+	0.159926i
$149$	−6.01722	−	10.4221i	−0.492950	−	0.853814i	0.507017	−	0.861936i	$-0.330748\pi$
$149$	−6.01722	−	10.4221i	−0.492950	−	0.853814i	−0.999967	+	0.00812166i	$0.997415\pi$
$150$	−3.92705	+	6.80185i	−0.320642	+	0.555369i
$151$	5.71885	+	17.6008i	0.465393	+	1.43233i	0.858487	+	0.512835i	$0.171405\pi$
$151$	5.71885	+	17.6008i	0.465393	+	1.43233i	−0.393094	+	0.919498i	$0.628595\pi$
$152$	−10.2137	−	4.54745i	−0.828444	−	0.368847i
$153$	−6.85410	−	4.97980i	−0.554121	−	0.402593i
$154$	−25.4164			−2.04811
$155$		0			0
$156$	1.14590			0.0917453
$157$	3.00000	+	2.17963i	0.239426	+	0.173953i	0.701028	−	0.713134i	$-0.252725\pi$
$157$	3.00000	+	2.17963i	0.239426	+	0.173953i	−0.461601	+	0.887087i	$0.652725\pi$
$158$		0			0
$159$	−0.218847	−	0.673542i	−0.0173557	−	0.0534154i
$160$	−0.645898	+	1.11873i	−0.0510627	+	0.0884432i
$161$	−5.20820	−	9.02087i	−0.410464	−	0.710944i
$162$	1.08268	−	1.20243i	0.0850631	−	0.0944721i
$163$	0.218847	−	0.673542i	0.0171414	−	0.0527559i	−0.942120	−	0.335276i	$-0.891170\pi$
$163$	0.218847	−	0.673542i	0.0171414	−	0.0527559i	0.959261	+	0.282520i	$0.0911704\pi$
$164$	−1.02234	−	1.13542i	−0.0798314	−	0.0886617i
$165$	−1.82709	+	0.813473i	−0.142239	+	0.0633288i
$166$	−11.2214	−	2.38519i	−0.870953	−	0.185127i
$167$	0.497966	−	4.73783i	0.0385338	−	0.366625i	−0.958215	−	0.286050i	$-0.907658\pi$
$167$	0.497966	−	4.73783i	0.0385338	−	0.366625i	0.996749	−	0.0805749i	$-0.0256756\pi$
$168$	−0.701198	−	6.67146i	−0.0540986	−	0.514714i
$169$	9.35335	−	1.98812i	0.719488	−	0.152932i
$170$	−2.11803	+	1.53884i	−0.162446	+	0.118024i
$171$	8.09017	−	5.87785i	0.618671	−	0.449491i
$172$	1.43997	−	0.306074i	0.109796	−	0.0233379i
$173$	−1.26377	−	12.0239i	−0.0960824	−	0.914163i	−0.931302	−	0.364247i	$-0.881326\pi$
$173$	−1.26377	−	12.0239i	−0.0960824	−	0.914163i	0.835220	−	0.549916i	$-0.185340\pi$
$174$	−1.07939	+	10.2697i	−0.0818280	+	0.778542i
$175$	14.2441	+	3.02767i	1.07675	+	0.228871i
$176$	23.2190	−	10.3378i	1.75020	−	0.779240i
$177$	−0.353210	−	0.392279i	−0.0265489	−	0.0294855i
$178$	−4.30902	+	13.2618i	−0.322974	+	0.994013i
$179$	−3.21074	+	3.56589i	−0.239982	+	0.266527i	−0.851089	−	0.525021i	$-0.824058\pi$
$179$	−3.21074	+	3.56589i	−0.239982	+	0.266527i	0.611108	+	0.791548i	$0.290724\pi$
$180$	−0.236068	−	0.408882i	−0.0175955	−	0.0304762i
$181$	−8.50000	+	14.7224i	−0.631800	+	1.09431i	0.355383	+	0.934721i	$0.384350\pi$
$181$	−8.50000	+	14.7224i	−0.631800	+	1.09431i	−0.987184	+	0.159589i	$0.948983\pi$
$182$	−2.78115	−	8.55951i	−0.206153	−	0.634473i
$183$	−9.99809	−	4.45144i	−0.739080	−	0.329060i
$184$	6.28115	+	4.56352i	0.463053	+	0.336428i
$185$	1.61803			0.118960
$186$		0			0
$187$	22.1803			1.62199
$188$	2.80902	+	2.04087i	0.204869	+	0.148846i
$189$	13.7032	+	6.10105i	0.996760	+	0.443786i
$190$	−0.954915	−	2.93893i	−0.0692768	−	0.213212i
$191$	2.45492	−	4.25204i	0.177631	−	0.307667i	−0.763437	−	0.645882i	$-0.776490\pi$
$191$	2.45492	−	4.25204i	0.177631	−	0.307667i	0.941069	+	0.338215i	$0.109823\pi$
$192$	2.11803	+	3.66854i	0.152856	+	0.264754i
$193$	−3.09007	+	3.43187i	−0.222428	+	0.247031i	−0.844022	−	0.536308i	$-0.819819\pi$
$193$	−3.09007	+	3.43187i	−0.222428	+	0.247031i	0.621594	+	0.783339i	$0.286485\pi$
$194$	−9.35410	+	28.7890i	−0.671585	+	2.06693i
$195$	−0.473881	−	0.526298i	−0.0339353	−	0.0376890i
$196$	1.12920	−	0.502754i	0.0806574	−	0.0359110i
$197$	10.1888	+	2.16569i	0.725921	+	0.154299i	0.556028	−	0.831163i	$-0.312325\pi$
$197$	10.1888	+	2.16569i	0.725921	+	0.154299i	0.169893	+	0.985463i	$0.445658\pi$
$198$	−1.77116	+	16.8514i	−0.125871	+	1.19758i
$199$	1.38937	+	13.2190i	0.0984899	+	0.937069i	0.926485	+	0.376333i	$0.122815\pi$
$199$	1.38937	+	13.2190i	0.0984899	+	0.937069i	−0.827995	+	0.560736i	$0.810518\pi$
$200$	−10.6169	+	2.25669i	−0.750729	+	0.159572i
$201$	0.190983	−	0.138757i	0.0134709	−	0.00978718i
$202$	−12.0902	+	8.78402i	−0.850661	+	0.618042i
$203$	18.7275	−	3.98066i	1.31441	−	0.279387i
$204$	−0.273659	−	2.60369i	−0.0191600	−	0.182295i
$205$	−0.0987033	+	0.939099i	−0.00689374	+	0.0655895i
$206$	10.8478	+	2.30578i	0.755804	+	0.160651i
$207$	−6.34391	+	2.82449i	−0.440932	+	0.196316i
$208$	6.02218	+	6.68830i	0.417563	+	0.463750i
$209$	−8.09017	+	24.8990i	−0.559609	+	1.72230i
$210$	1.24064	−	1.37787i	0.0856120	−	0.0950818i
$211$	4.00000	+	6.92820i	0.275371	+	0.476957i	0.970229	−	0.242190i	$-0.0778659\pi$
$211$	4.00000	+	6.92820i	0.275371	+	0.476957i	−0.694857	+	0.719148i	$0.744533\pi$
$212$	−0.218847	+	0.379054i	−0.0150305	+	0.0260336i
$213$	3.42705	+	10.5474i	0.234818	+	0.722694i
$214$	−14.9148	−	6.64048i	−1.01955	−	0.453934i
$215$	−0.736068	−	0.534785i	−0.0501994	−	0.0364720i
$216$	−11.1803			−0.760726
$217$		0			0
$218$	29.7984			2.01820
$219$	9.35410	+	6.79615i	0.632092	+	0.459241i
$220$	1.12920	+	0.502754i	0.0761309	+	0.0338957i
$221$	2.42705	+	7.46969i	0.163261	+	0.502466i
$222$	−3.42705	+	5.93583i	−0.230009	+	0.398387i
$223$	6.35410	+	11.0056i	0.425502	+	0.736991i	0.996467	−	0.0839830i	$-0.0267642\pi$
$223$	6.35410	+	11.0056i	0.425502	+	0.736991i	−0.570965	+	0.820974i	$0.693431\pi$
$224$	−6.78893	+	7.53987i	−0.453605	+	0.503779i
$225$	3.00000	−	9.23305i	0.200000	−	0.615537i
$226$	5.25542	+	5.83674i	0.349585	+	0.388254i
$227$	19.8629	−	8.84353i	1.31835	−	0.586966i	0.377566	−	0.925983i	$-0.376761\pi$
$227$	19.8629	−	8.84353i	1.31835	−	0.586966i	0.940780	+	0.339017i	$0.110094\pi$
$228$	3.02264	+	0.642482i	0.200179	+	0.0425494i
$229$	0.288910	−	2.74879i	0.0190917	−	0.181645i	−0.980820	−	0.194914i	$-0.937557\pi$
$229$	0.288910	−	2.74879i	0.0190917	−	0.181645i	0.999912	+	0.0132691i	$0.00422380\pi$
$230$	0.224307	+	2.13414i	0.0147904	+	0.140721i
$231$	−15.3649	+	3.26592i	−1.01094	+	0.214882i
$232$	−11.5451	+	8.38800i	−0.757972	+	0.550699i
$233$	4.69098	−	3.40820i	0.307317	−	0.223279i	−0.423428	−	0.905930i	$-0.639173\pi$
$233$	4.69098	−	3.40820i	0.307317	−	0.223279i	0.730744	+	0.682651i	$0.239173\pi$
$234$	−5.86889	+	1.24747i	−0.383661	+	0.0815497i
$235$	−0.224307	−	2.13414i	−0.0146322	−	0.139216i
$236$	−0.0341011	+	0.324451i	−0.00221980	+	0.0211199i
$237$		0			0
$238$	−18.7846	+	8.36344i	−1.21762	+	0.542122i
$239$	8.97733	+	9.97033i	0.580695	+	0.644927i	0.959886	−	0.280391i	$-0.0904642\pi$
$239$	8.97733	+	9.97033i	0.580695	+	0.644927i	−0.379191	+	0.925319i	$0.623798\pi$
$240$	−0.572949	+	1.76336i	−0.0369837	+	0.113824i
$241$	−11.6911	+	12.9843i	−0.753093	+	0.836394i	−0.990855	−	0.134929i	$-0.956919\pi$
$241$	−11.6911	+	12.9843i	−0.753093	+	0.836394i	0.237763	+	0.971323i	$0.423586\pi$
$242$	−13.2812	−	23.0036i	−0.853745	−	1.47873i
$243$	8.00000	−	13.8564i	0.513200	−	0.888889i
$244$	2.09017	+	6.43288i	0.133809	+	0.411823i
$245$	−0.697887	−	0.310719i	−0.0445863	−	0.0198511i
$246$	−3.23607	−	2.35114i	−0.206324	−	0.149903i
$247$	−9.27051			−0.589868
$248$		0			0
$249$	−7.09017			−0.449321
$250$	−4.92705	−	3.57971i	−0.311614	−	0.226401i
$251$	−15.4794	−	6.89186i	−0.977049	−	0.435010i	−0.144829	−	0.989457i	$-0.546263\pi$
$251$	−15.4794	−	6.89186i	−0.977049	−	0.435010i	−0.832219	+	0.554447i	$0.812930\pi$
$252$	−1.14590	−	3.52671i	−0.0721848	−	0.222162i
$253$	9.09017	−	15.7446i	0.571494	−	0.989857i
$254$	−4.66312	−	8.07676i	−0.292590	−	0.506781i
$255$	−1.08268	+	1.20243i	−0.0677998	+	0.0752993i
$256$	4.19098	−	12.8985i	0.261936	−	0.806157i
$257$	−17.0069	−	18.8881i	−1.06086	−	1.17821i	−0.983445	−	0.181207i	$-0.942000\pi$
$257$	−17.0069	−	18.8881i	−1.06086	−	1.17821i	−0.0774160	−	0.996999i	$-0.524667\pi$
$258$	3.52090	−	1.56760i	0.219201	−	0.0975948i
$259$	12.4305	+	2.64218i	0.772394	+	0.164177i
$260$	−0.0457515	+	0.435296i	−0.00283739	+	0.0269959i
$261$	−1.33419	−	12.6940i	−0.0825845	−	0.785739i
$262$	17.5521	−	3.73082i	1.08438	−	0.230491i
$263$	−11.1631	+	8.11048i	−0.688347	+	0.500114i	−0.876116	−	0.482100i	$-0.839874\pi$
$263$	−11.1631	+	8.11048i	−0.688347	+	0.500114i	0.187769	+	0.982213i	$0.439874\pi$
$264$	9.47214	−	6.88191i	0.582970	−	0.423552i
$265$	0.264599	−	0.0562422i	0.0162542	−	0.00345493i
$266$	−2.53696	−	24.1376i	−0.155551	−	1.47997i
$267$	−0.900830	+	8.57082i	−0.0551299	+	0.524526i
$268$	−0.142710	−	0.0303339i	−0.00871739	−	0.00185294i
$269$	−3.30524	+	1.47159i	−0.201524	+	0.0897242i	−0.505017	−	0.863109i	$-0.668514\pi$
$269$	−3.30524	+	1.47159i	−0.201524	+	0.0897242i	0.303493	+	0.952834i	$0.401847\pi$
$270$	−2.06773	−	2.29644i	−0.125838	−	0.139757i
$271$	−3.26393	+	10.0453i	−0.198270	+	0.610212i	0.801653	+	0.597790i	$0.203954\pi$
$271$	−3.26393	+	10.0453i	−0.198270	+	0.610212i	−0.999923	+	0.0124220i	$0.996046\pi$
$272$	13.7589	−	15.2808i	0.834254	−	0.926533i
$273$	−2.78115	−	4.81710i	−0.168323	−	0.291544i
$274$	−2.00000	+	3.46410i	−0.120824	+	0.209274i
$275$	7.85410	+	24.1724i	0.473620	+	1.45765i
$276$	−1.96038	−	0.872815i	−0.118001	−	0.0525373i
$277$	1.88197	+	1.36733i	0.113076	+	0.0821548i	0.642886	−	0.765962i	$-0.277737\pi$
$277$	1.88197	+	1.36733i	0.113076	+	0.0821548i	−0.529810	+	0.848116i	$0.677737\pi$
$278$	−1.38197			−0.0828848
$279$		0			0
$280$	2.56231			0.153127
$281$	8.11803	+	5.89810i	0.484281	+	0.351851i	0.802981	−	0.596005i	$-0.203246\pi$
$281$	8.11803	+	5.89810i	0.484281	+	0.351851i	−0.318700	+	0.947856i	$0.603246\pi$
$282$	8.30428	+	3.69731i	0.494513	+	0.220171i
$283$	−4.19098	−	12.8985i	−0.249128	−	0.766737i	−0.994930	−	0.100570i	$-0.967933\pi$
$283$	−4.19098	−	12.8985i	−0.249128	−	0.766737i	0.745802	−	0.666168i	$-0.232067\pi$
$284$	3.42705	−	5.93583i	0.203358	−	0.352226i
$285$	−0.954915	−	1.65396i	−0.0565643	−	0.0979722i
$286$	10.5108	−	11.6735i	0.621519	−	0.690267i
$287$	−2.29180	+	7.05342i	−0.135280	+	0.416350i
$288$	4.52595	+	5.02658i	0.266694	+	0.296194i
$289$	0.862635	−	0.384070i	0.0507433	−	0.0225924i
$290$	−3.85808	−	0.820060i	−0.226554	−	0.0481556i
$291$	−1.95554	+	18.6057i	−0.114636	+	1.09069i
$292$	−0.746950	−	7.10675i	−0.0437119	−	0.415891i
$293$	3.68168	−	0.782565i	0.215086	−	0.0457180i	−0.0991082	−	0.995077i	$-0.531599\pi$
$293$	3.68168	−	0.782565i	0.215086	−	0.0457180i	0.314194	+	0.949359i	$0.398266\pi$
$294$	2.61803	−	1.90211i	0.152687	−	0.110933i
$295$	0.163119	−	0.118513i	0.00949715	−	0.00690009i
$296$	−9.26515	+	1.96937i	−0.538526	+	0.114467i
$297$	2.73659	+	26.0369i	0.158793	+	1.51082i
$298$	−2.03539	+	19.3655i	−0.117907	+	1.12181i
$299$	6.29702	+	1.33847i	0.364166	+	0.0774058i
$300$	2.74064	−	1.22021i	0.158231	−	0.0704489i
$301$	−4.78154	−	5.31044i	−0.275603	−	0.306089i
$302$	9.25329	−	28.4787i	0.532467	−	1.63876i
$303$	−6.18014	+	6.86374i	−0.355040	+	0.394311i
$304$	12.1353	+	21.0189i	0.696005	+	1.20552i
$305$	2.09017	−	3.62028i	0.119683	−	0.207297i
$306$	4.23607	+	13.0373i	0.242160	+	0.745292i
$307$	−4.65010	−	2.07036i	−0.265395	−	0.118162i	0.269725	−	0.962937i	$-0.413067\pi$
$307$	−4.65010	−	2.07036i	−0.265395	−	0.118162i	−0.535121	+	0.844776i	$0.679734\pi$
$308$	7.85410	+	5.70634i	0.447529	+	0.325149i
$309$	6.85410			0.389916
$310$		0			0
$311$	7.52786			0.426866			0.213433	−	0.976958i	$-0.431535\pi$
$311$	7.52786			0.426866			0.213433	+	0.976958i	$0.431535\pi$
$312$	3.35410	+	2.43690i	0.189889	+	0.137962i
$313$	−2.95630	−	1.31623i	−0.167100	−	0.0743976i	0.321482	−	0.946916i	$-0.395819\pi$
$313$	−2.95630	−	1.31623i	−0.167100	−	0.0743976i	−0.488582	+	0.872518i	$0.662486\pi$
$314$	−1.85410	−	5.70634i	−0.104633	−	0.322027i
$315$	−1.14590	+	1.98475i	−0.0645640	+	0.111828i
$316$		0			0
$317$	−6.61673	+	7.34862i	−0.371632	+	0.412740i	−0.899732	−	0.436443i	$-0.856238\pi$
$317$	−6.61673	+	7.34862i	−0.371632	+	0.412740i	0.528100	+	0.849182i	$0.322905\pi$
$318$	−0.354102	+	1.08981i	−0.0198571	+	0.0611137i
$319$	22.3599	+	24.8332i	1.25192	+	1.39039i
$320$	−1.47815	+	0.658114i	−0.0826310	+	0.0367897i
$321$	−9.86968	−	2.09786i	−0.550872	−	0.117091i
$322$	−1.76173	+	16.7618i	−0.0981776	+	0.934097i
$323$	2.21395	+	21.0643i	0.123187	+	1.17205i
$324$	−0.604528	+	0.128496i	−0.0335849	+	0.00713869i
$325$	−7.28115	+	5.29007i	−0.403886	+	0.293440i
$326$	−0.927051	+	0.673542i	−0.0513446	+	0.0373040i
$327$	18.0140	−	3.82899i	0.996175	−	0.211743i
$328$	−0.577819	−	5.49758i	−0.0319047	−	0.303553i
$329$	1.76173	−	16.7618i	0.0971275	−	0.924106i
$330$	3.16535	+	0.672816i	0.174247	+	0.0370373i
$331$	−20.3451	+	9.05823i	−1.11827	+	0.497885i	−0.880790	−	0.473507i	$-0.842988\pi$
$331$	−20.3451	+	9.05823i	−1.11827	+	0.497885i	−0.237479	+	0.971393i	$0.576321\pi$
$332$	2.93211	+	3.25644i	0.160920	+	0.178720i
$333$	2.61803	−	8.05748i	0.143467	−	0.441547i
$334$	−5.15780	+	5.72831i	−0.282222	+	0.313439i
$335$	0.0450850	+	0.0780895i	0.00246326	+	0.00426648i
$336$	−7.28115	+	12.6113i	−0.397219	+	0.688004i
$337$	−8.64590	−	26.6093i	−0.470972	−	1.44950i	−0.851314	−	0.524657i	$-0.824194\pi$
$337$	−8.64590	−	26.6093i	−0.470972	−	1.44950i	0.380342	−	0.924846i	$-0.375806\pi$
$338$	−14.1345	−	6.29308i	−0.768815	−	0.342299i
$339$	3.92705	+	2.85317i	0.213288	+	0.154963i
$340$	1.00000			0.0542326
$341$		0			0
$342$	−16.1803			−0.874933
$343$	12.1353	+	8.81678i	0.655242	+	0.476061i
$344$	4.86576	+	2.16638i	0.262344	+	0.116803i
$345$	0.409830	+	1.26133i	0.0220645	+	0.0679076i
$346$	−9.78115	+	16.9415i	−0.525838	+	0.910778i
$347$	16.0623	+	27.8207i	0.862270	+	1.49350i	0.869733	+	0.493523i	$0.164291\pi$
$347$	16.0623	+	27.8207i	0.862270	+	1.49350i	−0.00746305	+	0.999972i	$0.502376\pi$
$348$	2.63923	−	2.93117i	0.141478	−	0.157127i
$349$	−1.01722	+	3.13068i	−0.0544506	+	0.167582i	−0.974584	−	0.224025i	$-0.928080\pi$
$349$	−1.01722	+	3.13068i	−0.0544506	+	0.167582i	0.920133	+	0.391606i	$0.128080\pi$
$350$	−15.7663	−	17.5102i	−0.842742	−	0.935960i
$351$	−8.46903	+	3.77066i	−0.452043	+	0.201263i
$352$	−17.3212	−	3.68174i	−0.923225	−	0.196238i
$353$	3.61857	−	34.4284i	0.192597	−	1.83244i	−0.290504	−	0.956874i	$-0.593823\pi$
$353$	3.61857	−	34.4284i	0.192597	−	1.83244i	0.483101	−	0.875565i	$-0.339510\pi$
$354$	0.0892780	+	0.849423i	0.00474507	+	0.0451463i
$355$	−4.14350	+	0.880728i	−0.219914	+	0.0467442i
$356$	4.30902	−	3.13068i	0.228377	−	0.165926i
$357$	−10.2812	+	7.46969i	−0.544136	+	0.395338i
$358$	7.59427	−	1.61421i	0.401370	−	0.0853138i
$359$	1.01118	+	9.62077i	0.0533682	+	0.507765i	0.988254	+	0.152817i	$0.0488346\pi$
$359$	1.01118	+	9.62077i	0.0533682	+	0.507765i	−0.934886	+	0.354947i	$0.884499\pi$
$360$	0.178556	−	1.69885i	0.00941072	−	0.0895371i
$361$	−5.86889	−	1.24747i	−0.308889	−	0.0656563i
$362$	25.1285	−	11.1879i	1.32073	−	0.588025i
$363$	−10.9847	−	12.1998i	−0.576548	−	0.640322i
$364$	−1.06231	+	3.26944i	−0.0556800	+	0.171365i
$365$	−2.95515	+	3.28203i	−0.154680	+	0.171789i
$366$	8.85410	+	15.3358i	0.462811	+	0.801613i
$367$	1.36475	−	2.36381i	0.0712391	−	0.123390i	−0.828206	−	0.560425i	$-0.810638\pi$
$367$	1.36475	−	2.36381i	0.0712391	−	0.123390i	0.899445	+	0.437035i	$0.143971\pi$
$368$	−5.20820	−	16.0292i	−0.271496	−	0.835580i
$369$	4.51682	+	2.01102i	0.235136	+	0.104689i
$370$	−2.11803	−	1.53884i	−0.110111	−	0.0800006i
$371$	2.12461			0.110304
$372$		0			0
$373$	−31.6525			−1.63890			−0.819452	−	0.573148i	$-0.805722\pi$
$373$	−31.6525			−1.63890			−0.819452	+	0.573148i	$0.805722\pi$
$374$	−29.0344	−	21.0948i	−1.50134	−	1.09078i
$375$	−3.43852	−	1.53093i	−0.177565	−	0.0790568i
$376$	3.88197	+	11.9475i	0.200197	+	0.616143i
$377$	−5.91641	+	10.2475i	−0.304711	+	0.527774i
$378$	−12.1353	−	21.0189i	−0.624170	−	1.08109i
$379$	5.63168	−	6.25461i	0.289280	−	0.321278i	−0.580935	−	0.813950i	$-0.697313\pi$
$379$	5.63168	−	6.25461i	0.289280	−	0.321278i	0.870215	+	0.492672i	$0.163980\pi$
$380$	−0.364745	+	1.12257i	−0.0187110	+	0.0575866i
$381$	−3.85682	−	4.28344i	−0.197591	−	0.219447i
$382$	−7.25745	+	3.23123i	−0.371324	+	0.165324i
$383$	9.92419	+	2.10945i	0.507102	+	0.107788i	0.454356	−	0.890820i	$-0.349869\pi$
$383$	9.92419	+	2.10945i	0.507102	+	0.107788i	0.0527459	+	0.998608i	$0.483203\pi$
$384$	1.42347	−	13.5434i	0.0726413	−	0.691135i
$385$	−0.627171	−	5.96713i	−0.0319636	−	0.304113i
$386$	7.30885	−	1.55354i	0.372011	−	0.0790733i
$387$	−3.85410	+	2.80017i	−0.195915	+	0.142341i
$388$	9.35410	−	6.79615i	0.474883	−	0.345022i
$389$	−28.4337	+	6.04376i	−1.44164	+	0.306431i	−0.861365	−	0.507987i	$-0.830390\pi$
$389$	−28.4337	+	6.04376i	−1.44164	+	0.306431i	−0.580279	+	0.814418i	$0.697056\pi$
$390$	0.119779	+	1.13962i	0.00606524	+	0.0577069i
$391$	1.53743	−	14.6276i	0.0777510	−	0.739751i
$392$	4.37441	+	0.929809i	0.220941	+	0.0469625i
$393$	10.1314	−	4.51078i	0.511060	−	0.227539i
$394$	−11.2776	−	12.5250i	−0.568157	−	0.631002i
$395$		0			0
$396$	4.33070	−	4.80973i	0.217626	−	0.241698i
$397$	−14.8541	−	25.7281i	−0.745506	−	1.29125i	−0.949958	−	0.312378i	$-0.898875\pi$
$397$	−14.8541	−	25.7281i	−0.745506	−	1.29125i	0.204452	−	0.978877i	$-0.434459\pi$
$398$	10.7533	−	18.6252i	0.539014	−	0.933599i
$399$	−4.63525	−	14.2658i	−0.232053	−	0.714186i
$400$	21.5252	+	9.58365i	1.07626	+	0.479183i
$401$	−19.2812	−	14.0086i	−0.962855	−	0.699555i	−0.00904282	−	0.999959i	$-0.502878\pi$
$401$	−19.2812	−	14.0086i	−0.962855	−	0.699555i	−0.953812	+	0.300404i	$0.902878\pi$
$402$	−0.381966			−0.0190507
$403$		0			0
$404$	5.70820			0.283994
$405$	0.309017	+	0.224514i	0.0153552	+	0.0111562i
$406$	−28.3005	−	12.6002i	−1.40453	−	0.625336i
$407$	6.85410	+	21.0948i	0.339745	+	1.04563i
$408$	4.73607	−	8.20311i	0.234470	−	0.406114i
$409$	−8.09017	−	14.0126i	−0.400033	−	0.692878i	0.593696	−	0.804689i	$-0.297668\pi$
$409$	−8.09017	−	14.0126i	−0.400033	−	0.692878i	−0.993729	+	0.111811i	$0.964335\pi$
$410$	1.02234	−	1.13542i	0.0504898	−	0.0560746i
$411$	−0.763932	+	2.35114i	−0.0376820	+	0.115973i
$412$	−2.83448	−	3.14801i	−0.139645	−	0.155091i
$413$	1.44668	−	0.644105i	0.0711866	−	0.0316943i
$414$	10.9905	+	2.33611i	0.540155	+	0.114814i
$415$	0.283084	−	2.69337i	0.0138961	−	0.132212i
$416$	−0.655447	−	6.23616i	−0.0321359	−	0.305753i
$417$	−0.835438	+	0.177578i	−0.0409116	+	0.00869602i
$418$	34.2705	−	24.8990i	1.67623	−	1.21785i
$419$	3.61803	−	2.62866i	0.176753	−	0.128418i	−0.495891	−	0.868385i	$-0.665159\pi$
$419$	3.61803	−	2.62866i	0.176753	−	0.128418i	0.672644	+	0.739966i	$0.265159\pi$
$420$	−0.692728	+	0.147244i	−0.0338017	+	0.00718477i
$421$	−2.01072	−	19.1307i	−0.0979963	−	0.932373i	−0.927488	−	0.373853i	$-0.878036\pi$
$421$	−2.01072	−	19.1307i	−0.0979963	−	0.932373i	0.829491	−	0.558519i	$-0.188630\pi$
$422$	1.35304	−	12.8734i	0.0658652	−	0.626665i
$423$	−10.9905	−	2.33611i	−0.534378	−	0.113586i
$424$	−1.44668	+	0.644105i	−0.0702572	+	0.0312805i
$425$	13.7589	+	15.2808i	0.667403	+	0.741226i
$426$	5.54508	−	17.0660i	0.268660	−	0.826851i
$427$	21.9694	−	24.3995i	1.06318	−	1.18078i
$428$	3.11803	+	5.40059i	0.150716	+	0.261048i
$429$	4.85410	−	8.40755i	0.234358	−	0.405920i
$430$	0.454915	+	1.40008i	0.0219380	+	0.0675181i
$431$	22.6230	+	10.0724i	1.08971	+	0.485170i	0.871332	−	0.490694i	$-0.163257\pi$
$431$	22.6230	+	10.0724i	1.08971	+	0.485170i	0.218378	+	0.975864i	$0.429923\pi$
$432$	19.6353	+	14.2658i	0.944702	+	0.686366i
$433$	27.4164			1.31755			0.658774	−	0.752341i	$-0.271075\pi$
$433$	27.4164			1.31755			0.658774	+	0.752341i	$0.271075\pi$
$434$		0			0
$435$	−2.43769			−0.116878
$436$	−9.20820	−	6.69015i	−0.440993	−	0.320400i
$437$	15.8598	+	7.06122i	0.758676	+	0.337784i
$438$	−5.78115	−	17.7926i	−0.276234	−	0.850161i
$439$	5.91641	−	10.2475i	0.282375	−	0.489087i	−0.689594	−	0.724196i	$-0.742211\pi$
$439$	5.91641	−	10.2475i	0.282375	−	0.489087i	0.971969	+	0.235108i	$0.0755445\pi$
$440$	2.23607	+	3.87298i	0.106600	+	0.184637i
$441$	−2.67652	+	2.97258i	−0.127453	+	0.141551i
$442$	3.92705	−	12.0862i	0.186791	−	0.574883i
$443$	−0.585749	−	0.650540i	−0.0278298	−	0.0309081i	0.729069	−	0.684440i	$-0.239953\pi$
$443$	−0.585749	−	0.650540i	−0.0278298	−	0.0309081i	−0.756899	+	0.653532i	$0.773287\pi$
$444$	2.39169	−	1.06485i	0.113505	−	0.0505356i
$445$	−3.21986	−	0.684403i	−0.152636	−	0.0324438i
$446$	2.14935	−	20.4497i	0.101774	−	0.968320i
$447$	1.25794	+	11.9685i	0.0594986	+	0.566091i
$448$	−12.4305	+	2.64218i	−0.587286	+	0.124831i
$449$	27.5623	−	20.0252i	1.30075	−	0.945047i	0.300783	−	0.953693i	$-0.402752\pi$
$449$	27.5623	−	20.0252i	1.30075	−	0.945047i	0.999963	+	0.00864558i	$0.00275201\pi$
$450$	−12.7082	+	9.23305i	−0.599070	+	0.435250i
$451$	−12.6614	+	2.69127i	−0.596202	+	0.126727i
$452$	−0.313585	−	2.98357i	−0.0147498	−	0.140335i
$453$	1.93446	−	18.4052i	0.0908891	−	0.864752i
$454$	−34.4116	−	7.31440i	−1.61501	−	0.343282i
$455$	1.94093	−	0.864157i	0.0909922	−	0.0405123i
$456$	7.48111	+	8.30861i	0.350335	+	0.389086i
$457$	8.26393	−	25.4338i	0.386570	−	1.18974i	−0.548764	−	0.835977i	$-0.684902\pi$
$457$	8.26393	−	25.4338i	0.386570	−	1.18974i	0.935335	−	0.353764i	$-0.115098\pi$
$458$	−2.99244	+	3.32344i	−0.139828	+	0.155294i
$459$	10.5902	+	18.3427i	0.494307	+	0.856164i
$460$	0.409830	−	0.709846i	0.0191084	−	0.0330968i
$461$	−9.80902	−	30.1891i	−0.456851	−	1.40604i	−0.868948	−	0.494904i	$-0.835203\pi$
$461$	−9.80902	−	30.1891i	−0.456851	−	1.40604i	0.412096	−	0.911140i	$-0.364797\pi$
$462$	23.2190	+	10.3378i	1.08025	+	0.480957i
$463$	−7.38197	−	5.36331i	−0.343069	−	0.249254i	0.402887	−	0.915250i	$-0.368007\pi$
$463$	−7.38197	−	5.36331i	−0.343069	−	0.249254i	−0.745956	+	0.665996i	$0.768007\pi$
$464$	30.9787			1.43815
$465$		0			0
$466$	−9.38197			−0.434611
$467$	−31.3713	−	22.7926i	−1.45169	−	1.05472i	−0.985432	−	0.170068i	$-0.945601\pi$
$467$	−31.3713	−	22.7926i	−1.45169	−	1.05472i	−0.466259	−	0.884648i	$-0.654399\pi$
$468$	2.09366	+	0.932157i	0.0967795	+	0.0430890i
$469$	0.218847	+	0.673542i	0.0101054	+	0.0311013i
$470$	−1.73607	+	3.00696i	−0.0800788	+	0.138701i
$471$	−1.85410	−	3.21140i	−0.0854325	−	0.147973i
$472$	−0.789802	+	0.877163i	−0.0363536	+	0.0403747i
$473$	3.85410	−	11.8617i	0.177212	−	0.545402i
$474$		0			0
$475$	−22.1722	+	9.87171i	−1.01733	+	0.452945i
$476$	7.68247	+	1.63296i	0.352125	+	0.0748466i
$477$	0.148055	−	1.40865i	0.00677897	−	0.0644976i
$478$	−2.26913	−	21.5893i	−0.103787	−	0.987471i
$479$	−8.74882	+	1.85962i	−0.399744	+	0.0849681i	−0.403397	−	0.915025i	$-0.632171\pi$
$479$	−8.74882	+	1.85962i	−0.399744	+	0.0849681i	0.00365302	+	0.999993i	$0.498837\pi$
$480$	1.04508	−	0.759299i	0.0477014	−	0.0346571i
$481$	−6.35410	+	4.61653i	−0.289722	+	0.210495i
$482$	27.6527	−	5.87777i	1.25955	−	0.267725i
$483$	1.08881	+	10.3593i	0.0495426	+	0.471367i
$484$	−1.06054	+	10.0903i	−0.0482061	+	0.458651i
$485$	−6.98974	−	1.48572i	−0.317388	−	0.0674629i
$486$	−23.6504	+	10.5298i	−1.07280	+	0.477642i
$487$	−28.0520	−	31.1548i	−1.27116	−	1.41176i	−0.867950	−	0.496651i	$-0.834563\pi$
$487$	−28.0520	−	31.1548i	−1.27116	−	1.41176i	−0.403205	−	0.915110i	$-0.632104\pi$
$488$	−7.56231	+	23.2744i	−0.342330	+	1.05358i
$489$	−0.473881	+	0.526298i	−0.0214296	+	0.0238000i
$490$	0.618034	+	1.07047i	0.0279199	+	0.0483587i
$491$	−10.7984	+	18.7033i	−0.487324	+	0.844070i	−0.999894	−	0.0145759i	$-0.995360\pi$
$491$	−10.7984	+	18.7033i	−0.487324	+	0.844070i	0.512570	+	0.858645i	$0.328694\pi$
$492$	0.472136	+	1.45309i	0.0212855	+	0.0655101i
$493$	24.6972	+	10.9959i	1.11231	+	0.495230i
$494$	12.1353	+	8.81678i	0.545991	+	0.396686i
$495$	−4.00000			−0.179787
$496$		0			0
$497$	−33.2705			−1.49239
$498$	9.28115	+	6.74315i	0.415898	+	0.302168i
$499$	9.91572	+	4.41476i	0.443888	+	0.197632i	0.616495	−	0.787359i	$-0.288552\pi$
$499$	9.91572	+	4.41476i	0.443888	+	0.197632i	−0.172606	+	0.984991i	$0.555219\pi$
$500$	0.718847	+	2.21238i	0.0321478	+	0.0989408i
$501$	−2.38197	+	4.12569i	−0.106418	+	0.184322i
$502$	13.7082	+	23.7433i	0.611827	+	1.05972i
$503$	13.2850	−	14.7545i	0.592348	−	0.657869i	−0.370209	−	0.928949i	$-0.620714\pi$
$503$	13.2850	−	14.7545i	0.592348	−	0.657869i	0.962557	+	0.271079i	$0.0873805\pi$
$504$	4.14590	−	12.7598i	0.184673	−	0.568365i
$505$	−2.36060	−	2.62171i	−0.105045	−	0.116665i
$506$	−26.8732	+	11.9647i	−1.19466	+	0.531897i
$507$	−9.35335	−	1.98812i	−0.415397	−	0.0882953i
$508$	−0.372362	+	3.54279i	−0.0165209	+	0.157186i
$509$	1.36830	+	13.0185i	0.0606486	+	0.577033i	0.982076	+	0.188483i	$0.0603572\pi$
$509$	1.36830	+	13.0185i	0.0606486	+	0.577033i	−0.921428	+	0.388550i	$0.872976\pi$
$510$	2.56082	−	0.544320i	0.113395	−	0.0241029i
$511$	−28.0623	+	20.3885i	−1.24140	+	0.901932i
$512$	4.28115	−	3.11044i	0.189202	−	0.137463i
$513$	−24.4537	+	5.19779i	−1.07966	+	0.229488i
$514$	4.29869	+	40.8993i	0.189607	+	1.80399i
$515$	−0.273659	+	2.60369i	−0.0120589	+	0.114732i
$516$	−1.43997	−	0.306074i	−0.0633910	−	0.0134742i
$517$	26.8732	−	11.9647i	1.18188	−	0.526208i
$518$	−13.7589	−	15.2808i	−0.604530	−	0.671399i
$519$	−3.73607	+	11.4984i	−0.163995	+	0.504725i
$520$	−1.05963	+	1.17684i	−0.0464678	+	0.0516078i
$521$	13.5344	+	23.4423i	0.592955	+	1.02703i	0.993832	+	0.110896i	$0.0353720\pi$
$521$	13.5344	+	23.4423i	0.592955	+	1.02703i	−0.400877	+	0.916132i	$0.631295\pi$
$522$	−10.3262	+	17.8856i	−0.451967	+	0.782830i
$523$	−1.89261	−	5.82485i	−0.0827580	−	0.254703i	0.901112	−	0.433586i	$-0.142752\pi$
$523$	−1.89261	−	5.82485i	−0.0827580	−	0.254703i	−0.983870	+	0.178883i	$0.942752\pi$
$524$	−6.26153	−	2.78781i	−0.273536	−	0.121786i
$525$	−11.7812	−	8.55951i	−0.514172	−	0.373568i
$526$	22.3262			0.973470
$527$		0			0
$528$	−25.4164			−1.10611
$529$	8.85410	+	6.43288i	0.384961	+	0.279691i
$530$	−0.399853	−	0.178026i	−0.0173685	−	0.00773297i
$531$	−0.326238	−	1.00406i	−0.0141575	−	0.0435724i
$532$	−4.63525	+	8.02850i	−0.200964	+	0.348079i
$533$	−2.29180	−	3.96951i	−0.0992687	−	0.171938i
$534$	9.33054	−	10.3626i	0.403772	−	0.448434i
$535$	1.19098	−	3.66547i	0.0514907	−	0.158472i
$536$	−0.353210	−	0.392279i	−0.0152563	−	0.0169439i
$537$	4.38353	−	1.95167i	0.189163	−	0.0842210i
$538$	5.72618	+	1.21714i	0.246873	+	0.0524745i
$539$	1.09464	−	10.4148i	0.0471493	−	0.448596i
$540$	0.123379	+	1.17387i	0.00530939	+	0.0505155i
$541$	−21.5192	+	4.57406i	−0.925185	+	0.196654i	−0.645784	−	0.763520i	$-0.723469\pi$
$541$	−21.5192	+	4.57406i	−0.925185	+	0.196654i	−0.279401	+	0.960175i	$0.590136\pi$
$542$	13.8262	−	10.0453i	0.593888	−	0.431485i
$543$	13.7533	−	9.99235i	0.590210	−	0.428813i
$544$	−14.0132	+	2.97859i	−0.600810	+	0.127706i
$545$	0.735299	+	6.99591i	0.0314968	+	0.299672i
$546$	−0.940756	+	8.95070i	−0.0402606	+	0.383054i
$547$	10.0669	+	2.13978i	0.430429	+	0.0914906i	0.418031	−	0.908433i	$-0.362720\pi$
$547$	10.0669	+	2.13978i	0.430429	+	0.0914906i	0.0123979	+	0.999923i	$0.496054\pi$
$548$	1.39577	−	0.621438i	0.0596245	−	0.0265465i
$549$	−14.6463	−	16.2664i	−0.625089	−	0.694231i
$550$	12.7082	−	39.1118i	0.541880	−	1.66773i
$551$	−21.3518	+	23.7136i	−0.909619	+	1.01023i
$552$	−3.88197	−	6.72376i	−0.165227	−	0.286182i
$553$		0			0
$554$	−1.16312	−	3.57971i	−0.0494162	−	0.152087i
$555$	−1.47815	−	0.658114i	−0.0627439	−	0.0279354i
$556$	0.427051	+	0.310271i	0.0181110	+	0.0131584i
$557$	0.111456			0.00472255			0.00236127	−	0.999997i	$-0.499248\pi$
$557$	0.111456			0.00472255			0.00236127	+	0.999997i	$0.499248\pi$
$558$		0			0
$559$	4.41641			0.186794
$560$	−4.50000	−	3.26944i	−0.190160	−	0.138159i
$561$	−20.2627	−	9.02156i	−0.855494	−	0.380890i
$562$	−5.01722	−	15.4414i	−0.211639	−	0.651357i
$563$	−5.78115	+	10.0133i	−0.243647	+	0.422008i	−0.961750	−	0.273928i	$-0.911677\pi$
$563$	−5.78115	+	10.0133i	−0.243647	+	0.422008i	0.718104	+	0.695936i	$0.245010\pi$
$564$	−1.73607	−	3.00696i	−0.0731016	−	0.126616i
$565$	−1.24064	+	1.37787i	−0.0521940	+	0.0579673i
$566$	−6.78115	+	20.8702i	−0.285033	+	0.877242i
$567$	2.00739	+	2.22943i	0.0843025	+	0.0936274i
$568$	22.6544	−	10.0864i	0.950559	−	0.423216i
$569$	−23.9374	−	5.08804i	−1.00351	−	0.213302i	−0.323280	−	0.946304i	$-0.604785\pi$
$569$	−23.9374	−	5.08804i	−1.00351	−	0.213302i	−0.680227	+	0.733002i	$0.738119\pi$
$570$	−0.323011	+	3.07324i	−0.0135294	+	0.128724i
$571$	−0.731699	−	6.96165i	−0.0306207	−	0.291336i	−0.999106	−	0.0422669i	$-0.986542\pi$
$571$	−0.731699	−	6.96165i	−0.0306207	−	0.291336i	0.968486	−	0.249069i	$-0.0801247\pi$
$572$	−5.86889	+	1.24747i	−0.245390	+	0.0521593i
$573$	−3.97214	+	2.88593i	−0.165938	+	0.120561i
$574$	9.70820	−	7.05342i	0.405213	−	0.294404i
$575$	16.4858	−	3.50416i	0.687505	−	0.146134i
$576$	0.885579	+	8.42572i	0.0368991	+	0.351072i
$577$	0.834003	−	7.93501i	0.0347200	−	0.330339i	−0.963350	−	0.268246i	$-0.913556\pi$
$577$	0.834003	−	7.93501i	0.0347200	−	0.330339i	0.998070	−	0.0620925i	$-0.0197774\pi$
$578$	−1.49448	−	0.317661i	−0.0621620	−	0.0132129i
$579$	4.21878	−	1.87832i	0.175327	−	0.0780605i
$580$	1.00810	+	1.11961i	0.0418590	+	0.0464891i
$581$	6.57295	−	20.2295i	0.272692	−	0.839259i
$582$	20.2549	−	22.4954i	0.839594	−	0.932463i
$583$	1.85410	+	3.21140i	0.0767891	+	0.133003i
$584$	12.9271	−	22.3903i	0.534925	−	0.926518i
$585$	−0.437694	−	1.34708i	−0.0180964	−	0.0556951i
$586$	−5.56365	−	2.47710i	−0.229832	−	0.102328i
$587$	32.3713	+	23.5191i	1.33611	+	0.970739i	0.999577	+	0.0290662i	$0.00925335\pi$
$587$	32.3713	+	23.5191i	1.33611	+	0.970739i	0.336530	+	0.941673i	$0.390747\pi$
$588$	−1.23607			−0.0509746
$589$		0			0
$590$	−0.326238			−0.0134310
$591$	−8.42705	−	6.12261i	−0.346643	−	0.251851i
$592$	18.7846	+	8.36344i	0.772042	+	0.343735i
$593$	12.9443	+	39.8384i	0.531558	+	1.63597i	0.750972	+	0.660334i	$0.229585\pi$
$593$	12.9443	+	39.8384i	0.531558	+	1.63597i	−0.219414	+	0.975632i	$0.570415\pi$
$594$	21.1803	−	36.6854i	0.869040	−	1.50522i
$595$	−2.42705	−	4.20378i	−0.0994994	−	0.172338i
$596$	4.97679	−	5.52728i	0.203857	−	0.226406i
$597$	4.10739	−	12.6412i	0.168104	−	0.517372i
$598$	−6.96994	−	7.74090i	−0.285022	−	0.316549i
$599$	4.75192	−	2.11569i	0.194158	−	0.0864448i	−0.307354	−	0.951595i	$-0.599444\pi$
$599$	4.75192	−	2.11569i	0.194158	−	0.0864448i	0.501513	+	0.865150i	$0.332777\pi$
$600$	10.6169	+	2.25669i	0.433434	+	0.0921292i
$601$	−2.29963	+	21.8795i	−0.0938037	+	0.892483i	0.841885	+	0.539657i	$0.181446\pi$
$601$	−2.29963	+	21.8795i	−0.0938037	+	0.892483i	−0.935689	+	0.352826i	$0.885221\pi$
$602$	1.20859	+	11.4990i	0.0492585	+	0.468663i
$603$	0.461819	−	0.0981626i	0.0188067	−	0.00399749i
$604$	−9.25329	+	6.72291i	−0.376511	+	0.273551i
$605$	5.07295	−	3.68571i	0.206245	−	0.149846i
$606$	14.6177	−	3.10709i	0.593804	−	0.126217i
$607$	−0.148055	−	1.40865i	−0.00600936	−	0.0571753i	0.991106	−	0.133073i	$-0.0424844\pi$
$607$	−0.148055	−	1.40865i	−0.00600936	−	0.0571753i	−0.997116	+	0.0758976i	$0.975818\pi$
$608$	1.76756	−	16.8172i	0.0716840	−	0.682027i
$609$	−18.7275	−	3.98066i	−0.758877	−	0.161304i
$610$	−6.17916	+	2.75114i	−0.250187	+	0.111390i
$611$	6.96994	+	7.74090i	0.281973	+	0.313163i
$612$	1.61803	−	4.97980i	0.0654051	−	0.201296i
$613$	28.7353	−	31.9138i	1.16061	−	1.28899i	0.210315	−	0.977634i	$-0.432551\pi$
$613$	28.7353	−	31.9138i	1.16061	−	1.28899i	0.950294	−	0.311353i	$-0.100782\pi$
$614$	4.11803	+	7.13264i	0.166190	+	0.287850i
$615$	0.472136	−	0.817763i	0.0190384	−	0.0329754i
$616$	10.8541	+	33.4055i	0.437324	+	1.34595i
$617$	−8.91980	−	3.97135i	−0.359097	−	0.159880i	0.219255	−	0.975668i	$-0.429637\pi$
$617$	−8.91980	−	3.97135i	−0.359097	−	0.159880i	−0.578352	+	0.815787i	$0.696304\pi$
$618$	−8.97214	−	6.51864i	−0.360912	−	0.262218i
$619$	−40.0000			−1.60774			−0.803868	−	0.594808i	$-0.797228\pi$
$619$	−40.0000			−1.60774			−0.803868	+	0.594808i	$0.797228\pi$
$620$		0			0
$621$	17.3607			0.696660
$622$	−9.85410	−	7.15942i	−0.395113	−	0.287067i
$623$	−23.6189	−	10.5158i	−0.946271	−	0.421307i
$624$	−2.78115	−	8.55951i	−0.111335	−	0.342655i
$625$	−11.4164	+	19.7738i	−0.456656	+	0.790952i
$626$	2.61803	+	4.53457i	0.104638	+	0.181238i
$627$	17.5181	−	19.4558i	0.699604	−	0.776989i
$628$	−0.708204	+	2.17963i	−0.0282604	+	0.0869766i
$629$	12.0071	+	13.3352i	0.478753	+	0.531709i
$630$	3.38761	−	1.50826i	0.134966	−	0.0600906i
$631$	41.3468	+	8.78853i	1.64599	+	0.349866i	0.935359	−	0.353699i	$-0.115076\pi$
$631$	41.3468	+	8.78853i	1.64599	+	0.349866i	0.710631	+	0.703565i	$0.248410\pi$
$632$		0			0
$633$	−0.836228	−	7.95618i	−0.0332371	−	0.316230i
$634$	15.6504	−	3.32659i	0.621555	−	0.132116i
$635$	1.78115	−	1.29408i	0.0706829	−	0.0513541i
$636$	0.354102	−	0.257270i	0.0140411	−	0.0102014i
$637$	3.62717	−	0.770979i	0.143714	−	0.0305473i
$638$	−5.65174	−	53.7727i	−0.223754	−	2.12888i
$639$	−2.31848	+	22.0588i	−0.0917175	+	0.872634i
$640$	5.08796	+	1.08148i	0.201119	+	0.0427492i
$641$	−27.3240	+	12.1654i	−1.07923	+	0.480505i	−0.867813	−	0.496890i	$-0.834475\pi$
$641$	−27.3240	+	12.1654i	−1.07923	+	0.480505i	−0.211419	+	0.977395i	$0.567809\pi$
$642$	10.9244	+	12.1328i	0.431151	+	0.478842i
$643$	4.59017	−	14.1271i	0.181019	−	0.557118i	−0.818838	−	0.574024i	$-0.805382\pi$
$643$	4.59017	−	14.1271i	0.181019	−	0.557118i	0.999857	+	0.0169060i	$0.00538159\pi$
$644$	4.30766	−	4.78414i	0.169746	−	0.188521i
$645$	0.454915	+	0.787936i	0.0179123	+	0.0310249i
$646$	17.1353	−	29.6791i	0.674178	−	1.16771i
$647$	1.81966	+	5.60034i	0.0715382	+	0.220172i	0.980433	−	0.196854i	$-0.0630724\pi$
$647$	1.81966	+	5.60034i	0.0715382	+	0.220172i	−0.908895	+	0.417026i	$0.863072\pi$
$648$	−2.04275	−	0.909491i	−0.0802468	−	0.0357282i
$649$	2.23607	+	1.62460i	0.0877733	+	0.0637711i
$650$	14.5623			0.571181
$651$		0			0
$652$	0.437694			0.0171414
$653$	−6.75329	−	4.90655i	−0.264277	−	0.192008i	0.447754	−	0.894157i	$-0.352224\pi$
$653$	−6.75329	−	4.90655i	−0.264277	−	0.192008i	−0.712030	+	0.702149i	$0.752224\pi$
$654$	−27.2222	−	12.1201i	−1.06447	−	0.473933i
$655$	1.30902	+	4.02874i	0.0511475	+	0.157416i
$656$	−6.00000	+	10.3923i	−0.234261	+	0.405751i
$657$	11.5623	+	20.0265i	0.451089	+	0.781308i
$658$	−18.2475	+	20.2659i	−0.711363	+	0.790049i
$659$	−11.6459	+	35.8424i	−0.453660	+	1.39622i	0.419042	+	0.907967i	$0.362366\pi$
$659$	−11.6459	+	35.8424i	−0.453660	+	1.39622i	−0.872701	+	0.488254i	$0.837634\pi$
$660$	−0.827091	−	0.918578i	−0.0321945	−	0.0357556i
$661$	−13.1386	+	5.84967i	−0.511032	+	0.227526i	−0.646019	−	0.763321i	$-0.723567\pi$
$661$	−13.1386	+	5.84967i	−0.511032	+	0.227526i	0.134987	+	0.990847i	$0.456901\pi$
$662$	35.2470	+	7.49198i	1.36991	+	0.291184i
$663$	0.820977	−	7.81108i	0.0318841	−	0.303357i
$664$	1.65720	+	15.7673i	0.0643120	+	0.611888i
$665$	5.60429	−	1.19123i	0.217325	−	0.0461938i
$666$	−11.0902	+	8.05748i	−0.429735	+	0.312221i
$667$	17.9271	−	13.0248i	0.694138	−	0.504321i
$668$	2.87993	−	0.612149i	0.111428	−	0.0236847i
$669$	−1.32837	−	12.6386i	−0.0513577	−	0.488636i
$670$	0.0152505	−	0.145099i	0.000589178	−	0.00560566i
$671$	56.0527	+	11.9144i	2.16389	+	0.459949i
$672$	9.26874	−	4.12671i	0.357549	−	0.159191i
$673$	14.9995	+	16.6586i	0.578188	+	0.642143i	0.959301	−	0.282385i	$-0.0911257\pi$
$673$	14.9995	+	16.6586i	0.578188	+	0.642143i	−0.381113	+	0.924529i	$0.624459\pi$
$674$	−13.9894	+	43.0548i	−0.538850	+	1.65841i
$675$	−16.2401	+	18.0365i	−0.625083	+	0.694225i
$676$	2.95492	+	5.11806i	0.113651	+	0.196849i
$677$	1.32624	−	2.29711i	0.0509715	−	0.0882852i	−0.839414	−	0.543493i	$-0.817102\pi$
$677$	1.32624	−	2.29711i	0.0509715	−	0.0882852i	0.890385	+	0.455207i	$0.150435\pi$
$678$	−2.42705	−	7.46969i	−0.0932103	−	0.286872i
$679$	−51.2724	−	22.8279i	−1.96765	−	0.876056i
$680$	2.92705	+	2.12663i	0.112247	+	0.0815524i
$681$	−21.7426			−0.833180
$682$		0			0
$683$	27.9443			1.06926			0.534629	−	0.845087i	$-0.320451\pi$
$683$	27.9443			1.06926			0.534629	+	0.845087i	$0.320451\pi$
$684$	5.00000	+	3.63271i	0.191180	+	0.138900i
$685$	−0.862635	−	0.384070i	−0.0329596	−	0.0146746i
$686$	−7.50000	−	23.0826i	−0.286351	−	0.881299i
$687$	−1.38197	+	2.39364i	−0.0527253	+	0.0913229i
$688$	−5.78115	−	10.0133i	−0.220404	−	0.381752i
$689$	−0.878624	+	0.975810i	−0.0334729	+	0.0371754i
$690$	0.663119	−	2.04087i	0.0252445	−	0.0776946i
$691$	−33.3447	−	37.0330i	−1.26849	−	1.40880i	−0.871065	−	0.491167i	$-0.836570\pi$
$691$	−33.3447	−	37.0330i	−1.26849	−	1.40880i	−0.397425	−	0.917634i	$-0.630096\pi$
$692$	6.82614	−	3.03919i	0.259491	−	0.115533i
$693$	−30.7299	−	6.53184i	−1.16733	−	0.248124i
$694$	5.43326	−	51.6940i	0.206244	−	1.96228i
$695$	−0.0341011	−	0.324451i	−0.00129353	−	0.0123071i
$696$	13.9587	−	2.96701i	0.529102	−	0.112464i
$697$	−8.47214	+	6.15537i	−0.320905	+	0.233151i
$698$	4.30902	−	3.13068i	0.163099	−	0.118498i
$699$	−5.67167	+	1.20555i	−0.214522	+	0.0455981i
$700$	0.940756	+	8.95070i	0.0355572	+	0.338305i
$701$	0.100928	−	0.960269i	0.00381201	−	0.0362688i	−0.992451	−	0.122646i	$-0.960862\pi$
$701$	0.100928	−	0.960269i	0.00381201	−	0.0362688i	0.996263	+	0.0863767i	$0.0275288\pi$
$702$	14.6722	+	3.11868i	0.553767	+	0.117707i
$703$	−19.3492	+	8.61482i	−0.729769	+	0.324914i
$704$	−14.8415	−	16.4832i	−0.559362	−	0.621234i
$705$	−0.663119	+	2.04087i	−0.0249745	+	0.0768636i
$706$	−37.4801	+	41.6259i	−1.41058	+	1.56661i
$707$	−13.8541	−	23.9960i	−0.521037	−	0.902463i
$708$	0.163119	−	0.282530i	0.00613039	−	0.0106181i
$709$	3.35410	+	10.3229i	0.125966	+	0.387683i	0.994076	−	0.108689i	$-0.0346652\pi$
$709$	3.35410	+	10.3229i	0.125966	+	0.387683i	−0.868110	+	0.496372i	$0.834665\pi$
$710$	6.26153	+	2.78781i	0.234991	+	0.104625i
$711$		0			0
$712$	19.2705			0.722193
$713$		0			0
$714$	20.5623			0.769525
$715$	3.00000	+	2.17963i	0.112194	+	0.0815134i
$716$	−2.70917	−	1.20620i	−0.101247	−	0.0450779i
$717$	−4.14590	−	12.7598i	−0.154831	−	0.476522i
$718$	7.82624	−	13.5554i	0.292073	−	0.505885i
$719$	21.8090	+	37.7743i	0.813339	+	1.40874i	0.910514	+	0.413477i	$0.135686\pi$
$719$	21.8090	+	37.7743i	0.813339	+	1.40874i	−0.0971753	+	0.995267i	$0.530981\pi$
$720$	−2.48127	+	2.75573i	−0.0924716	+	0.102700i
$721$	−6.35410	+	19.5559i	−0.236639	+	0.728300i
$722$	6.49606	+	7.21460i	0.241758	+	0.268500i
$723$	15.9616	−	7.10656i	0.593618	−	0.264296i
$724$	−10.2770	−	2.18444i	−0.381941	−	0.0811841i
$725$	−3.23816	+	30.8090i	−0.120262	+	1.14422i
$726$	2.77652	+	26.4168i	0.103046	+	0.980419i
$727$	−29.1809	+	6.20259i	−1.08226	+	0.230041i	−0.714328	−	0.699811i	$-0.753267\pi$
$727$	−29.1809	+	6.20259i	−1.08226	+	0.230041i	−0.367932	+	0.929853i	$0.619934\pi$
$728$	−10.0623	+	7.31069i	−0.372934	+	0.270952i
$729$	−10.5172	+	7.64121i	−0.389527	+	0.283008i
$730$	6.98974	−	1.48572i	0.258702	−	0.0549888i
$731$	−1.05471	−	10.0349i	−0.0390099	−	0.371154i
$732$	0.707023	−	6.72688i	0.0261323	−	0.248633i
$733$	−9.83599	−	2.09070i	−0.363300	−	0.0772219i	0.0226448	−	0.999744i	$-0.492791\pi$
$733$	−9.83599	−	2.09070i	−0.363300	−	0.0772219i	−0.385945	+	0.922522i	$0.626125\pi$
$734$	−4.03459	+	1.79631i	−0.148919	+	0.0663032i
$735$	0.511170	+	0.567712i	0.0188548	+	0.0209404i
$736$	−3.62868	+	11.1679i	−0.133755	+	0.411655i
$737$	−0.827091	+	0.918578i	−0.0304663	+	0.0338362i
$738$	−4.00000	−	6.92820i	−0.147242	−	0.255031i
$739$	−4.14590	+	7.18091i	−0.152509	+	0.264154i	−0.932149	−	0.362074i	$-0.882069\pi$
$739$	−4.14590	+	7.18091i	−0.152509	+	0.264154i	0.779640	+	0.626228i	$0.215402\pi$
$740$	0.309017	+	0.951057i	0.0113597	+	0.0349615i
$741$	8.46903	+	3.77066i	0.311118	+	0.138519i
$742$	−2.78115	−	2.02063i	−0.102099	−	0.0741795i
$743$	−23.5623			−0.864417			−0.432209	−	0.901774i	$-0.642266\pi$
$743$	−23.5623			−0.864417			−0.432209	+	0.901774i	$0.642266\pi$
$744$		0			0
$745$	−4.59675			−0.168412
$746$	41.4336	+	30.1033i	1.51699	+	1.10216i
$747$	−12.9544	−	5.76766i	−0.473976	−	0.211028i
$748$	4.23607	+	13.0373i	0.154886	+	0.476690i
$749$	15.1353	−	26.2150i	0.553030	−	0.957876i
$750$	3.04508	+	5.27424i	0.111191	+	0.192588i
$751$	9.25596	−	10.2798i	0.337755	−	0.375115i	−0.550210	−	0.835026i	$-0.685452\pi$
$751$	9.25596	−	10.2798i	0.337755	−	0.375115i	0.887965	+	0.459912i	$0.152119\pi$
$752$	8.42705	−	25.9358i	0.307303	−	0.945781i
$753$	11.3379	+	12.5920i	0.413177	+	0.458880i
$754$	17.4906	−	7.78734i	0.636972	−	0.283598i
$755$	6.91441	+	1.46970i	0.251641	+	0.0534880i
$756$	−0.969032	+	9.21973i	−0.0352434	+	0.335318i
$757$	−0.300560	−	2.85964i	−0.0109240	−	0.103935i	0.987701	−	0.156353i	$-0.0499738\pi$
$757$	−0.300560	−	2.85964i	−0.0109240	−	0.103935i	−0.998625	+	0.0524180i	$0.983307\pi$
$758$	−13.3204	+	2.83135i	−0.483820	+	0.102839i
$759$	−14.7082	+	10.6861i	−0.533874	+	0.387882i
$760$	−3.45492	+	2.51014i	−0.125323	+	0.0910524i
$761$	33.7525	−	7.17432i	1.22353	−	0.260069i	0.449535	−	0.893263i	$-0.351590\pi$
$761$	33.7525	−	7.17432i	1.22353	−	0.260069i	0.773993	+	0.633194i	$0.218256\pi$
$762$	0.974857	+	9.27515i	0.0353154	+	0.336003i
$763$	−5.77512	+	54.9466i	−0.209073	+	1.98920i
$764$	2.96813	+	0.630896i	0.107383	+	0.0228250i
$765$	−2.95630	+	1.31623i	−0.106885	+	0.0475883i
$766$	−10.9847	−	12.1998i	−0.396894	−	0.440796i
$767$	−0.302439	+	0.930812i	−0.0109204	+	0.0336097i
$768$	−9.07495	+	10.0788i	−0.327464	+	0.363686i
$769$	5.62868	+	9.74915i	0.202975	+	0.351564i	0.949486	−	0.313810i	$-0.101606\pi$
$769$	5.62868	+	9.74915i	0.202975	+	0.351564i	−0.746510	+	0.665374i	$0.768272\pi$
$770$	−4.85410	+	8.40755i	−0.174930	+	0.302987i
$771$	7.85410	+	24.1724i	0.282859	+	0.870549i
$772$	−2.60735	−	1.16087i	−0.0938406	−	0.0417805i
$773$	6.39919	+	4.64928i	0.230163	+	0.167223i	0.696889	−	0.717179i	$-0.254567\pi$
$773$	6.39919	+	4.64928i	0.230163	+	0.167223i	−0.466727	+	0.884402i	$0.654567\pi$
$774$	7.70820			0.277066
$775$		0			0
$776$	41.8328			1.50171
$777$	−10.2812	−	7.46969i	−0.368834	−	0.267974i
$778$	42.9681	+	19.1306i	1.54048	+	0.685866i
$779$	−3.81966	−	11.7557i	−0.136854	−	0.421192i
$780$	0.218847	−	0.379054i	0.00783598	−	0.0135723i
$781$	−29.0344	−	50.2891i	−1.03893	−	1.79949i
$782$	−15.9242	+	17.6856i	−0.569449	+	0.632437i
$783$	−9.86068	+	30.3481i	−0.352392	+	1.08455i
$784$	−6.49606	−	7.21460i	−0.232002	−	0.257664i
$785$	1.29395	−	0.576105i	0.0461832	−	0.0205621i
$786$	−17.5521	−	3.73082i	−0.626064	−	0.133074i
$787$	−4.67328	+	44.4633i	−0.166584	+	1.58495i	0.517591	+	0.855628i	$0.326829\pi$
$787$	−4.67328	+	44.4633i	−0.166584	+	1.58495i	−0.684176	+	0.729317i	$0.739838\pi$
$788$	0.672922	+	6.40243i	0.0239719	+	0.228077i
$789$	13.4968	−	2.86884i	0.480500	−	0.102134i
$790$		0			0
$791$	−11.7812	+	8.55951i	−0.418890	+	0.304341i
$792$	22.9047	−	4.86854i	0.813883	−	0.172996i
$793$	2.12107	+	20.1806i	0.0753214	+	0.716635i
$794$	−5.02457	+	47.8056i	−0.178315	+	1.69656i
$795$	−0.264599	−	0.0562422i	−0.00938434	−	0.00199470i
$796$	−7.50458	+	3.34125i	−0.265993	+	0.118428i
$797$	18.0292	+	20.0235i	0.638628	+	0.709269i	0.972383	−	0.233391i	$-0.0749823\pi$
$797$	18.0292	+	20.0235i	0.638628	+	0.709269i	−0.333755	+	0.942660i	$0.608316\pi$
$798$	−7.50000	+	23.0826i	−0.265497	+	0.817116i
$799$	15.9242	−	17.6856i	0.563358	−	0.625673i
$800$	−8.20820	−	14.2170i	−0.290204	−	0.502648i
$801$	−8.61803	+	14.9269i	−0.304503	+	0.527415i
$802$	11.9164	+	36.6749i	0.420783	+	1.29504i
$803$	−55.3070	−	24.6243i	−1.95174	−	0.868971i
$804$	0.118034	+	0.0857567i	0.00416274	+	0.00302441i
$805$	−3.97871			−0.140231
$806$		0			0
$807$	3.61803			0.127361
$808$	16.7082	+	12.1392i	0.587793	+	0.427056i
$809$	27.5906	+	12.2841i	0.970032	+	0.431886i	0.829695	−	0.558217i	$-0.188515\pi$
$809$	27.5906	+	12.2841i	0.970032	+	0.431886i	0.140338	+	0.990104i	$0.455181\pi$
$810$	−0.190983	−	0.587785i	−0.00671046	−	0.0206527i
$811$	14.3885	−	24.9217i	0.505250	−	0.875119i	−0.494731	−	0.869046i	$-0.664734\pi$
$811$	14.3885	−	24.9217i	0.505250	−	0.875119i	0.999982	−	0.00607295i	$-0.00193309\pi$
$812$	5.91641	+	10.2475i	0.207625	+	0.359617i
$813$	7.06756	−	7.84932i	0.247870	−	0.275288i
$814$	11.0902	−	34.1320i	0.388710	−	1.19633i
$815$	−0.181006	−	0.201028i	−0.00634038	−	0.00704170i
$816$	−18.7846	+	8.36344i	−0.657593	+	0.292779i
$817$	11.6496	+	2.47619i	0.407567	+	0.0866310i
$818$	−2.73659	+	26.0369i	−0.0956826	+	0.910360i
$819$	−1.16284	−	11.0637i	−0.0406329	−	0.386596i
$820$	−0.570839	+	0.121336i	−0.0199346	+	0.00423722i
$821$	19.0344	−	13.8293i	0.664307	−	0.482647i	−0.203808	−	0.979011i	$-0.565332\pi$
$821$	19.0344	−	13.8293i	0.664307	−	0.482647i	0.868115	+	0.496364i	$0.165332\pi$
$822$	3.23607	−	2.35114i	0.112871	−	0.0820055i
$823$	−33.3789	+	7.09491i	−1.16352	+	0.247313i	−0.748900	−	0.662684i	$-0.769417\pi$
$823$	−33.3789	+	7.09491i	−1.16352	+	0.247313i	−0.414616	+	0.909996i	$0.636084\pi$
$824$	−1.60203	−	15.2423i	−0.0558093	−	0.530990i
$825$	2.65674	−	25.2772i	0.0924957	−	0.880038i
$826$	−2.50631	−	0.532733i	−0.0872058	−	0.0185362i
$827$	16.7419	−	7.45395i	0.582171	−	0.259199i	−0.0944512	−	0.995529i	$-0.530110\pi$
$827$	16.7419	−	7.45395i	0.582171	−	0.259199i	0.676622	+	0.736330i	$0.263443\pi$
$828$	−2.87177	−	3.18943i	−0.0998010	−	0.110840i
$829$	−2.56231	+	7.88597i	−0.0889926	+	0.273891i	−0.985642	−	0.168851i	$-0.945994\pi$
$829$	−2.56231	+	7.88597i	−0.0889926	+	0.273891i	0.896649	+	0.442742i	$0.145994\pi$
$830$	−2.93211	+	3.25644i	−0.101775	+	0.113033i
$831$	−1.16312	−	2.01458i	−0.0403481	−	0.0698850i
$832$	3.92705	−	6.80185i	0.136146	−	0.235812i
$833$	−2.61803	−	8.05748i	−0.0907095	−	0.279175i
$834$	1.26249	+	0.562096i	0.0437164	+	0.0194638i
$835$	−1.47214	−	1.06957i	−0.0509454	−	0.0370140i
$836$	−16.1803			−0.559609
$837$		0			0
$838$	−7.23607			−0.249966
$839$	9.04508	+	6.57164i	0.312271	+	0.226878i	0.732870	−	0.680368i	$-0.238180\pi$
$839$	9.04508	+	6.57164i	0.312271	+	0.226878i	−0.420599	+	0.907246i	$0.638180\pi$
$840$	−2.34078	−	1.04218i	−0.0807647	−	0.0359588i
$841$	3.62461	+	11.1554i	0.124987	+	0.384669i
$842$	−15.5623	+	26.9547i	−0.536312	+	0.928920i
$843$	−5.01722	−	8.69008i	−0.172802	−	0.299302i
$844$	−3.30836	+	3.67431i	−0.113879	+	0.126475i
$845$	1.12868	−	3.47371i	0.0388277	−	0.119499i
$846$	12.1650	+	13.5106i	0.418242	+	0.464505i
$847$	44.9914	−	20.0315i	1.54592	−	0.688289i
$848$	3.36257	+	0.714737i	0.115471	+	0.0245442i
$849$	−1.41765	+	13.4880i	−0.0486535	+	0.462907i
$850$	−3.47772	−	33.0883i	−0.119285	−	1.13492i
$851$	14.3868	−	3.05801i	0.493173	−	0.104827i
$852$	−5.54508	+	4.02874i	−0.189971	+	0.138022i
$853$	−3.23607	+	2.35114i	−0.110801	+	0.0805015i	−0.641806	−	0.766867i	$-0.721815\pi$
$853$	−3.23607	+	2.35114i	−0.110801	+	0.0805015i	0.531005	+	0.847369i	$0.321815\pi$
$854$	−51.9637	+	11.0452i	−1.77816	+	0.377960i
$855$	−0.399263	−	3.79874i	−0.0136545	−	0.129914i
$856$	−2.35840	+	22.4387i	−0.0806086	+	0.766939i
$857$	−13.8705	−	2.94826i	−0.473806	−	0.100711i	−0.0351814	−	0.999381i	$-0.511201\pi$
$857$	−13.8705	−	2.94826i	−0.473806	−	0.100711i	−0.438625	+	0.898670i	$0.644534\pi$
$858$	−14.3502	+	6.38910i	−0.489906	+	0.218120i
$859$	37.9452	+	42.1424i	1.29467	+	1.43788i	0.835457	+	0.549556i	$0.185203\pi$
$859$	37.9452	+	42.1424i	1.29467	+	1.43788i	0.459216	+	0.888324i	$0.348130\pi$
$860$	0.173762	−	0.534785i	0.00592524	−	0.0182360i
$861$	4.96255	−	5.51147i	0.169123	−	0.187830i
$862$	−20.0344	−	34.7007i	−0.682376	−	1.18191i
$863$	−20.2533	+	35.0797i	−0.689430	+	1.19413i	0.282593	+	0.959240i	$0.408806\pi$
$863$	−20.2533	+	35.0797i	−0.689430	+	1.19413i	−0.972023	+	0.234888i	$0.924528\pi$
$864$	−5.22542	−	16.0822i	−0.177773	−	0.547128i
$865$	−4.21878	−	1.87832i	−0.143443	−	0.0638649i
$866$	−35.8885	−	26.0746i	−1.21954	−	0.886049i
$867$	−0.944272			−0.0320692
$868$		0			0
$869$		0			0
$870$	3.19098	+	2.31838i	0.108184	+	0.0786006i
$871$	−0.399853	−	0.178026i	−0.0135485	−	0.00603219i
$872$	−12.7254	−	39.1648i	−0.430937	−	1.32629i
$873$	−18.7082	+	32.4036i	−0.633177	+	1.09669i
$874$	−14.0451	−	24.3268i	−0.475082	−	0.822866i
$875$	7.55569	−	8.39144i	0.255429	−	0.283682i
$876$	−2.20820	+	6.79615i	−0.0746083	+	0.229621i
$877$	19.8787	+	22.0775i	0.671255	+	0.745504i	0.978527	−	0.206117i	$-0.0660829\pi$
$877$	19.8787	+	22.0775i	0.671255	+	0.745504i	−0.307272	+	0.951622i	$0.599416\pi$
$878$	−17.4906	+	7.78734i	−0.590281	+	0.262810i
$879$	−3.68168	−	0.782565i	−0.124180	−	0.0263953i
$880$	1.01478	−	9.65502i	0.0342083	−	0.325471i
$881$	−3.06903	−	29.1998i	−0.103398	−	0.983768i	−0.916063	−	0.401036i	$-0.868650\pi$
$881$	−3.06903	−	29.1998i	−0.103398	−	0.983768i	0.812664	−	0.582732i	$-0.198016\pi$
$882$	6.33070	−	1.34563i	0.213166	−	0.0453098i
$883$	0.809017	−	0.587785i	0.0272256	−	0.0197805i	−0.574089	−	0.818793i	$-0.694644\pi$
$883$	0.809017	−	0.587785i	0.0272256	−	0.0197805i	0.601315	+	0.799012i	$0.294644\pi$
$884$	−3.92705	+	2.85317i	−0.132081	+	0.0959625i
$885$	−0.197220	+	0.0419204i	−0.00662948	+	0.00140914i
$886$	0.148055	+	1.40865i	0.00497400	+	0.0473245i
$887$	5.02817	−	47.8398i	0.168829	−	1.60630i	−0.502118	−	0.864799i	$-0.667446\pi$
$887$	5.02817	−	47.8398i	0.168829	−	1.60630i	0.670948	−	0.741505i	$-0.265888\pi$
$888$	9.26515	+	1.96937i	0.310918	+	0.0660877i
$889$	15.7968	−	7.03321i	0.529809	−	0.235886i
$890$	3.56395	+	3.95817i	0.119464	+	0.132678i
$891$	−1.61803	+	4.97980i	−0.0542062	+	0.166829i
$892$	−5.25542	+	5.83674i	−0.175964	+	0.195428i
$893$	14.0451	+	24.3268i	0.470001	+	0.814065i
$894$	9.73607	−	16.8634i	0.325623	−	0.563995i
$895$	0.566371	+	1.74311i	0.0189317	+	0.0582658i
$896$	37.3221	+	16.6169i	1.24684	+	0.555130i
$897$	−5.20820	−	3.78398i	−0.173897	−	0.126343i
$898$	−55.1246			−1.83953
$899$		0			0
$900$	6.00000			0.200000
$901$	2.42705	+	1.76336i	0.0808568	+	0.0587459i
$902$	19.1335	+	8.51880i	0.637077	+	0.283645i
$903$	2.20820	+	6.79615i	0.0734844	+	0.226162i
$904$	5.42705	−	9.39993i	0.180501	−	0.312637i
$905$	3.24671	+	5.62347i	0.107924	+	0.186930i
$906$	−20.0366	+	22.2529i	−0.665672	+	0.739304i
$907$	−3.68441	+	11.3394i	−0.122339	+	0.376520i	−0.993407	−	0.114642i	$-0.963428\pi$
$907$	−3.68441	+	11.3394i	−0.122339	+	0.376520i	0.871068	+	0.491162i	$0.163428\pi$
$908$	8.99157	+	9.98615i	0.298396	+	0.331402i
$909$	−16.8751	+	7.51329i	−0.559713	+	0.249200i
$910$	−3.36257	−	0.714737i	−0.111468	−	0.0236933i
$911$	1.48225	−	14.1027i	0.0491091	−	0.467242i	−0.942138	−	0.335224i	$-0.891188\pi$
$911$	1.48225	−	14.1027i	0.0491091	−	0.467242i	0.991247	−	0.132017i	$-0.0421455\pi$
$912$	−2.53696	−	24.1376i	−0.0840071	−	0.799274i
$913$	36.3133	−	7.71864i	1.20180	−	0.255450i
$914$	−35.0066	+	25.4338i	−1.15791	+	0.841274i
$915$	−3.38197	+	2.45714i	−0.111804	+	0.0812306i
$916$	1.67088	−	0.355156i	0.0552073	−	0.0117347i
$917$	3.47772	+	33.0883i	0.114844	+	1.09267i
$918$	3.58224	−	34.0828i	0.118232	−	1.12490i
$919$	−49.0293	−	10.4215i	−1.61733	−	0.343773i	−0.691692	−	0.722193i	$-0.743134\pi$
$919$	−49.0293	−	10.4215i	−1.61733	−	0.343773i	−0.925634	+	0.378419i	$0.876468\pi$
$920$	2.70917	−	1.20620i	0.0893188	−	0.0397673i
$921$	3.40599	+	3.78273i	0.112231	+	0.124645i
$922$	−15.8713	+	48.8469i	−0.522694	+	1.60869i
$923$	13.7589	−	15.2808i	0.452879	−	0.502973i
$924$	−4.85410	−	8.40755i	−0.159688	−	0.276588i
$925$	−10.2812	+	17.8075i	−0.338042	+	0.585506i
$926$	4.56231	+	14.0413i	0.149927	+	0.461427i
$927$	12.5231	+	5.57563i	0.411311	+	0.183128i
$928$	−17.4615	−	12.6865i	−0.573202	−	0.416455i
$929$	−33.5410			−1.10045			−0.550223	−	0.835018i	$-0.685457\pi$
$929$	−33.5410			−1.10045			−0.550223	+	0.835018i	$0.685457\pi$
$930$		0			0
$931$	10.0000			0.327737
$932$	2.89919	+	2.10638i	0.0949660	+	0.0689969i
$933$	−6.87705	−	3.06186i	−0.225144	−	0.100241i
$934$	19.3885	+	59.6718i	0.634413	+	1.95252i
$935$	4.23607	−	7.33708i	0.138534	−	0.239948i
$936$	4.14590	+	7.18091i	0.135513	+	0.234715i
$937$	−29.7665	+	33.0590i	−0.972428	+	1.07999i	0.0243436	+	0.999704i	$0.492250\pi$
$937$	−29.7665	+	33.0590i	−0.972428	+	1.07999i	−0.996772	+	0.0802873i	$0.974416\pi$
$938$	0.354102	−	1.08981i	0.0115618	−	0.0355837i
$939$	2.16535	+	2.40487i	0.0706636	+	0.0784799i
$940$	1.21158	−	0.539430i	0.0395173	−	0.0175943i
$941$	−54.2054	−	11.5217i	−1.76705	−	0.375597i	−0.794310	−	0.607512i	$-0.792168\pi$
$941$	−54.2054	−	11.5217i	−1.76705	−	0.375597i	−0.972736	+	0.231915i	$0.925501\pi$
$942$	−0.627171	+	5.96713i	−0.0204343	+	0.194420i
$943$	0.897230	+	8.53657i	0.0292178	+	0.277989i
$944$	2.50631	−	0.532733i	0.0815736	−	0.0173390i
$945$	4.63525	−	3.36771i	0.150785	−	0.109552i
$946$	−16.3262	+	11.8617i	−0.530812	+	0.385657i
$947$	35.2807	−	7.49914i	1.14647	−	0.243689i	0.404767	−	0.914420i	$-0.367353\pi$
$947$	35.2807	−	7.49914i	1.14647	−	0.243689i	0.741701	+	0.670730i	$0.234019\pi$
$948$		0			0
$949$	2.24085	−	21.3203i	0.0727410	−	0.692085i
$950$	38.4124	+	8.16480i	1.24626	+	0.264901i
$951$	9.03363	−	4.02203i	0.292936	−	0.130423i
$952$	19.0143	+	21.1175i	0.616257	+	0.684422i
$953$	−2.84752	+	8.76378i	−0.0922404	+	0.283887i	−0.986525	−	0.163613i	$-0.947685\pi$
$953$	−2.84752	+	8.76378i	−0.0922404	+	0.283887i	0.894284	+	0.447499i	$0.147685\pi$
$954$	−1.53351	+	1.70314i	−0.0496492	+	0.0551411i
$955$	−0.937694	−	1.62413i	−0.0303431	−	0.0525557i
$956$	−4.14590	+	7.18091i	−0.134088	+	0.232247i
$957$	−10.3262	−	31.7809i	−0.333800	−	1.02733i
$958$	13.2210	+	5.88635i	0.427150	+	0.190179i
$959$	−6.00000	−	4.35926i	−0.193750	−	0.140768i
$960$	1.61803			0.0522218
$961$		0			0
$962$	12.7082			0.409729
$963$	−16.3262	−	11.8617i	−0.526106	−	0.382238i
$964$	−9.86481	−	4.39209i	−0.317724	−	0.141460i
$965$	0.545085	+	1.67760i	0.0175469	+	0.0540038i
$966$	8.42705	−	14.5961i	0.271136	−	0.469621i
$967$	−6.17376	−	10.6933i	−0.198535	−	0.343872i	0.749519	−	0.661983i	$-0.230285\pi$
$967$	−6.17376	−	10.6933i	−0.198535	−	0.343872i	−0.948054	+	0.318111i	$0.896952\pi$
$968$	−24.5626	+	27.2795i	−0.789471	+	0.876797i
$969$	6.54508	−	20.1437i	0.210258	−	0.647109i
$970$	7.73669	+	8.59247i	0.248410	+	0.275888i
$971$	−0.399853	+	0.178026i	−0.0128319	+	0.00571313i	−0.413143	−	0.910666i	$-0.635569\pi$
$971$	−0.399853	+	0.178026i	−0.0128319	+	0.00571313i	0.400311	+	0.916379i	$0.368902\pi$
$972$	9.67246	+	2.05594i	0.310244	+	0.0659444i
$973$	0.267834	−	2.54827i	0.00858636	−	0.0816938i
$974$	7.09046	+	67.4612i	0.227193	+	2.16160i
$975$	8.80333	−	1.87121i	0.281932	−	0.0599265i
$976$	42.9787	−	31.2259i	1.37572	−	0.999516i
$977$	−42.1246	+	30.6053i	−1.34769	+	0.979151i	−0.348562	+	0.937286i	$0.613330\pi$
$977$	−42.1246	+	30.6053i	−1.34769	+	0.979151i	−0.999123	+	0.0418654i	$0.986670\pi$
$978$	1.12086	−	0.238246i	0.0358411	−	0.00761825i
$979$	−4.71681	−	44.8774i	−0.150750	−	1.43429i
$980$	0.0493516	−	0.469550i	0.00157648	−	0.0149992i
$981$	36.0279	+	7.65797i	1.15028	+	0.244500i
$982$	31.9232	−	14.2131i	1.01871	−	0.453559i
$983$	−5.37609	−	5.97075i	−0.171471	−	0.190437i	0.651284	−	0.758834i	$-0.274231\pi$
$983$	−5.37609	−	5.97075i	−0.171471	−	0.190437i	−0.822755	+	0.568397i	$0.807564\pi$
$984$	−1.70820	+	5.25731i	−0.0544556	+	0.167597i
$985$	2.66228	−	2.95676i	0.0848273	−	0.0942102i
$986$	−21.8713	−	37.8822i	−0.696525	−	1.20642i
$987$	−8.42705	+	14.5961i	−0.268236	+	0.464598i
$988$	−1.77051	−	5.44907i	−0.0563274	−	0.173358i
$989$	−7.55549	−	3.36392i	−0.240250	−	0.106966i
$990$	5.23607	+	3.80423i	0.166413	+	0.120906i
$991$	16.2705			0.516850			0.258425	−	0.966031i	$-0.416797\pi$
$991$	16.2705			0.516850			0.258425	+	0.966031i	$0.416797\pi$
$992$		0			0
$993$	22.2705			0.706733
$994$	43.5517	+	31.6421i	1.38137	+	1.00363i
$995$	4.63808	+	2.06501i	0.147037	+	0.0654651i
$996$	−1.35410	−	4.16750i	−0.0429064	−	0.132052i
$997$	−26.6246	+	46.1152i	−0.843210	+	1.46048i	0.0439568	+	0.999033i	$0.486004\pi$
$997$	−26.6246	+	46.1152i	−0.843210	+	1.46048i	−0.887167	+	0.461449i	$0.847330\pi$
$998$	−8.78115	−	15.2094i	−0.277963	−	0.481445i
$999$	−14.1724	+	15.7401i	−0.448395	+	0.497993i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	961.2.g.b.732.1		8
31.2	even	5		961.2.g.f.448.1		8
31.3	odd	30		961.2.d.b.388.1		4
31.4	even	5		961.2.c.f.521.2		4
31.5	even	3	inner	961.2.g.b.816.1		8
31.6	odd	6		961.2.d.b.374.1		4
31.7	even	15		961.2.a.d.1.2		2
31.8	even	5		961.2.g.f.844.1		8
31.9	even	15		961.2.g.f.547.1		8
31.10	even	15		961.2.g.f.846.1		8
31.11	odd	30		961.2.c.d.439.2		4
31.12	odd	30		961.2.d.e.628.1		4
31.13	odd	30		961.2.g.c.235.1		8
31.14	even	15		961.2.d.f.531.1		4
31.15	odd	10		961.2.g.c.338.1		8
31.16	even	5	inner	961.2.g.b.338.1		8
31.17	odd	30		961.2.d.e.531.1		4
31.18	even	15	inner	961.2.g.b.235.1		8
31.19	even	15		961.2.d.f.628.1		4
31.20	even	15		961.2.c.f.439.2		4
31.21	odd	30		961.2.g.g.846.1		8
31.22	odd	30		961.2.g.g.547.1		8
31.23	odd	10		961.2.g.g.844.1		8
31.24	odd	30		961.2.a.e.1.2		2
31.25	even	3		31.2.d.a.2.1	✓	4
31.26	odd	6		961.2.g.c.816.1		8
31.27	odd	10		961.2.c.d.521.2		4
31.28	even	15		31.2.d.a.16.1	yes	4
31.29	odd	10		961.2.g.g.448.1		8
31.30	odd	2		961.2.g.c.732.1		8
93.38	odd	30		8649.2.a.g.1.1		2
93.56	odd	6		279.2.i.a.64.1		4
93.59	odd	30		279.2.i.a.109.1		4
93.86	even	30		8649.2.a.f.1.1		2
124.59	odd	30		496.2.n.b.481.1		4
124.87	odd	6		496.2.n.b.33.1		4
155.28	odd	60		775.2.bf.a.574.2		8
155.59	even	30		775.2.k.c.326.1		4
155.87	odd	12		775.2.bf.a.374.2		8
155.118	odd	12		775.2.bf.a.374.1		8
155.149	even	6		775.2.k.c.126.1		4
155.152	odd	60		775.2.bf.a.574.1		8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
31.2.d.a.2.1	✓	4	31.25	even	3
31.2.d.a.16.1	yes	4	31.28	even	15
279.2.i.a.64.1		4	93.56	odd	6
279.2.i.a.109.1		4	93.59	odd	30
496.2.n.b.33.1		4	124.87	odd	6
496.2.n.b.481.1		4	124.59	odd	30
775.2.k.c.126.1		4	155.149	even	6
775.2.k.c.326.1		4	155.59	even	30
775.2.bf.a.374.1		8	155.118	odd	12
775.2.bf.a.374.2		8	155.87	odd	12
775.2.bf.a.574.1		8	155.152	odd	60
775.2.bf.a.574.2		8	155.28	odd	60
961.2.a.d.1.2		2	31.7	even	15
961.2.a.e.1.2		2	31.24	odd	30
961.2.c.d.439.2		4	31.11	odd	30
961.2.c.d.521.2		4	31.27	odd	10
961.2.c.f.439.2		4	31.20	even	15
961.2.c.f.521.2		4	31.4	even	5
961.2.d.b.374.1		4	31.6	odd	6
961.2.d.b.388.1		4	31.3	odd	30
961.2.d.e.531.1		4	31.17	odd	30
961.2.d.e.628.1		4	31.12	odd	30
961.2.d.f.531.1		4	31.14	even	15
961.2.d.f.628.1		4	31.19	even	15
961.2.g.b.235.1		8	31.18	even	15	inner
961.2.g.b.338.1		8	31.16	even	5	inner
961.2.g.b.732.1		8	1.1	even	1	trivial
961.2.g.b.816.1		8	31.5	even	3	inner
961.2.g.c.235.1		8	31.13	odd	30
961.2.g.c.338.1		8	31.15	odd	10
961.2.g.c.732.1		8	31.30	odd	2
961.2.g.c.816.1		8	31.26	odd	6
961.2.g.f.448.1		8	31.2	even	5
961.2.g.f.547.1		8	31.9	even	15
961.2.g.f.844.1		8	31.8	even	5
961.2.g.f.846.1		8	31.10	even	15
961.2.g.g.448.1		8	31.29	odd	10
961.2.g.g.547.1		8	31.22	odd	30
961.2.g.g.844.1		8	31.23	odd	10
961.2.g.g.846.1		8	31.21	odd	30
8649.2.a.f.1.1		2	93.86	even	30
8649.2.a.g.1.1		2	93.38	odd	30

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 961 = 31^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	961.g (of order \(15\), degree \(8\), not minimal)

\(f(q)\)	\(=\)	\(q+(-1.30902 - 0.951057i) q^{2} +(-0.913545 - 0.406737i) q^{3} +(0.190983 + 0.587785i) q^{4} +(0.190983 - 0.330792i) q^{5} +(0.809017 + 1.40126i) q^{6} +(2.00739 - 2.22943i) q^{7} +(-0.690983 + 2.12663i) q^{8} +(-1.33826 - 1.48629i) q^{9} +(-0.564602 + 0.251377i) q^{10} +(5.12165 + 1.08864i) q^{11} +(0.0646021 - 0.614648i) q^{12} +(0.193806 + 1.84395i) q^{13} +(-4.74803 + 1.00922i) q^{14} +(-0.309017 + 0.224514i) q^{15} +(3.92705 - 2.85317i) q^{16} +(4.14350 - 0.880728i) q^{17} +(0.338261 + 3.21834i) q^{18} +(-0.522642 + 4.97261i) q^{19} +(0.230909 + 0.0490813i) q^{20} +(-2.74064 + 1.22021i) q^{21} +(-5.66897 - 6.29602i) q^{22} +(1.07295 - 3.30220i) q^{23} +(1.49622 - 1.66172i) q^{24} +(2.42705 + 4.20378i) q^{25} +(1.50000 - 2.59808i) q^{26} +(1.54508 + 4.75528i) q^{27} +(1.69381 + 0.754131i) q^{28} +(5.16312 + 3.75123i) q^{29} +0.618034 q^{30} -3.38197 q^{32} +(-4.23607 - 3.07768i) q^{33} +(-6.26153 - 2.78781i) q^{34} +(-0.354102 - 1.08981i) q^{35} +(0.618034 - 1.07047i) q^{36} +(2.11803 + 3.66854i) q^{37} +(5.41338 - 6.01217i) q^{38} +(0.572949 - 1.76336i) q^{39} +(0.571506 + 0.634721i) q^{40} +(-2.25841 + 1.00551i) q^{41} +(4.74803 + 1.00922i) q^{42} +(0.248983 - 2.36892i) q^{43} +(0.338261 + 3.21834i) q^{44} +(-0.747238 + 0.158830i) q^{45} +(-4.54508 + 3.30220i) q^{46} +(4.54508 - 3.30220i) q^{47} +(-4.74803 + 1.00922i) q^{48} +(-0.209057 - 1.98904i) q^{49} +(0.820977 - 7.81108i) q^{50} +(-4.14350 - 0.880728i) q^{51} +(-1.04683 + 0.466079i) q^{52} +(0.473881 + 0.526298i) q^{53} +(2.50000 - 7.69421i) q^{54} +(1.33826 - 1.48629i) q^{55} +(3.35410 + 5.80948i) q^{56} +(2.50000 - 4.33013i) q^{57} +(-3.19098 - 9.82084i) q^{58} +(0.482228 + 0.214702i) q^{59} +(-0.190983 - 0.138757i) q^{60} +10.9443 q^{61} -6.00000 q^{63} +(-3.42705 - 2.48990i) q^{64} +(0.646976 + 0.288052i) q^{65} +(2.61803 + 8.05748i) q^{66} +(-0.118034 + 0.204441i) q^{67} +(1.30902 + 2.26728i) q^{68} +(-2.32331 + 2.58030i) q^{69} +(-0.572949 + 1.76336i) q^{70} +(-7.42077 - 8.24160i) q^{71} +(4.08550 - 1.81898i) q^{72} +(-11.3096 - 2.40394i) q^{73} +(0.716449 - 6.81655i) q^{74} +(-0.507392 - 4.82751i) q^{75} +(-3.02264 + 0.642482i) q^{76} +(12.7082 - 9.23305i) q^{77} +(-2.42705 + 1.76336i) q^{78} +(-0.193806 - 1.84395i) q^{80} +(-0.104528 + 0.994522i) q^{81} +(3.91259 + 0.831647i) q^{82} +(6.47719 - 2.88383i) q^{83} +(-1.24064 - 1.37787i) q^{84} +(0.500000 - 1.53884i) q^{85} +(-2.57890 + 2.86416i) q^{86} +(-3.19098 - 5.52694i) q^{87} +(-5.85410 + 10.1396i) q^{88} +(-2.66312 - 8.19624i) q^{89} +(1.12920 + 0.502754i) q^{90} +(4.50000 + 3.26944i) q^{91} +2.14590 q^{92} -9.09017 q^{94} +(1.54508 + 1.12257i) q^{95} +(3.08958 + 1.37557i) q^{96} +(-5.78115 - 17.7926i) q^{97} +(-1.61803 + 2.80252i) q^{98} +(-5.23607 - 9.06914i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q - 6 q^{2} - q^{3} + 6 q^{4} + 6 q^{5} + 2 q^{6} + 3 q^{7} - 10 q^{8} - 2 q^{9} - 2 q^{10} + 2 q^{11} - 2 q^{12} - 6 q^{13} - 6 q^{14} + 2 q^{15} + 18 q^{16} + 3 q^{17} - 6 q^{18} + 5 q^{19} + 7 q^{20}+ \cdots - 24 q^{99}+O(q^{100}) \) 8 * q - 6 * q^2 - q^3 + 6 * q^4 + 6 * q^5 + 2 * q^6 + 3 * q^7 - 10 * q^8 - 2 * q^9 - 2 * q^10 + 2 * q^11 - 2 * q^12 - 6 * q^13 - 6 * q^14 + 2 * q^15 + 18 * q^16 + 3 * q^17 - 6 * q^18 + 5 * q^19 + 7 * q^20 - 3 * q^21 + 6 * q^22 + 22 * q^23 - 5 * q^24 + 6 * q^25 + 12 * q^26 - 10 * q^27 + 6 * q^28 + 10 * q^29 - 4 * q^30 - 36 * q^32 - 16 * q^33 - 11 * q^34 + 24 * q^35 - 4 * q^36 + 8 * q^37 - 10 * q^38 + 18 * q^39 - 10 * q^40 - 8 * q^41 + 6 * q^42 - q^43 - 6 * q^44 + 8 * q^45 - 14 * q^46 + 14 * q^47 - 6 * q^48 + 2 * q^49 - 12 * q^50 - 3 * q^51 + 3 * q^52 - 21 * q^53 + 20 * q^54 + 2 * q^55 + 20 * q^57 - 30 * q^58 - 5 * q^59 - 6 * q^60 + 16 * q^61 - 48 * q^63 - 14 * q^64 + 9 * q^65 + 12 * q^66 + 8 * q^67 + 6 * q^68 + 11 * q^69 - 18 * q^70 + 7 * q^71 + 10 * q^72 - 21 * q^73 - 11 * q^74 + 9 * q^75 - 15 * q^76 + 48 * q^77 - 6 * q^78 + 6 * q^80 + q^81 - 4 * q^82 + 14 * q^83 + 9 * q^84 + 4 * q^85 + 7 * q^86 - 30 * q^87 - 20 * q^88 + 10 * q^89 + 4 * q^90 + 36 * q^91 + 44 * q^92 - 28 * q^94 - 10 * q^95 + 2 * q^96 - 6 * q^97 - 4 * q^98 - 24 * q^99

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