LMFDB - Embedded newform 961.2.g.c.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.c.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	0.653139	−	0.757238i	$-0.273452\pi$
$3$	0.913545	+	0.406737i	0.527436	+	0.234830i	−0.125703	+	0.992068i	$0.540119\pi$
$4$	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	−0.644476	−	0.764625i	$-0.722924\pi$
$11$	−5.12165	−	1.08864i	−1.54423	−	0.328237i	−0.899759	+	0.436387i	$0.856258\pi$
$12$	−0.0646021	+	0.614648i	−0.0186490	+	0.177434i
$13$	−0.193806	−	1.84395i	−0.0537522	−	0.511418i	−0.987962	−	0.154695i	$-0.950561\pi$
$13$	−0.193806	−	1.84395i	−0.0537522	−	0.511418i	0.934210	−	0.356723i	$-0.116106\pi$
$14$	−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	−0.680855	−	0.732418i	$-0.738392\pi$
$17$	−4.14350	+	0.880728i	−1.00495	+	0.213608i	−0.324091	+	0.946026i	$0.605058\pi$
$18$	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	$0.217904\pi$
$23$	−1.07295	+	3.30220i	−0.223725	+	0.688556i	−0.998418	+	0.0562184i	$0.982096\pi$
$24$	−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	−0.00590304	−	0.999983i	$-0.501879\pi$
$29$	−5.16312	−	3.75123i	−0.958767	−	0.696585i	−0.952864	+	0.303397i	$0.901879\pi$
$30$	−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	0.637728	−	0.770262i	$-0.279875\pi$
$37$	−2.11803	−	3.66854i	−0.348203	−	0.603105i	−0.985930	+	0.167157i	$0.946541\pi$
$38$	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	$0.0914685\pi$
$43$	−0.248983	+	2.36892i	−0.0379696	+	0.361257i	−0.996966	+	0.0778383i	$0.975198\pi$
$44$	−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	0.709719	−	0.704485i	$-0.248822\pi$
$53$	−0.473881	−	0.526298i	−0.0650926	−	0.0722926i	−0.774812	+	0.632192i	$0.782155\pi$
$54$	−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	$-0.747100\pi$
$61$	−10.9443			−1.40127			−0.700635	+	0.713520i	$0.747100\pi$
$62$		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	0.814936	−	0.579550i	$-0.196772\pi$
$73$	11.3096	+	2.40394i	1.32369	+	0.281360i	0.508757	+	0.860910i	$0.330105\pi$
$74$	−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	−0.730162	−	0.683274i	$-0.760555\pi$
$83$	−6.47719	+	2.88383i	−0.710964	+	0.316542i	0.0191978	+	0.999816i	$0.493889\pi$
$84$	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	$0.0509884\pi$
$89$	2.66312	+	8.19624i	0.282290	+	0.868799i	−0.704908	+	0.709299i	$0.749012\pi$
$90$	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	0.159588	−	0.987184i	$-0.448984\pi$
$127$	−5.26561	−	2.34440i	−0.467248	−	0.208032i	−0.626835	+	0.779152i	$0.715650\pi$
$128$	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	$0.000344392\pi$
$137$	0.258409	+	2.45859i	0.0220773	+	0.210052i	−0.977922	+	0.208970i	$0.932989\pi$
$138$	5.49527	−	1.16805i	0.467788	−	0.0994314i
$139$	−0.690983	+	0.502029i	−0.0586084	+	0.0425815i	−0.616704	−	0.787195i	$-0.711532\pi$
$139$	−0.690983	+	0.502029i	−0.0586084	+	0.0425815i	0.558095	+	0.829777i	$0.311532\pi$
$140$	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	$-0.828595\pi$
$151$	−5.71885	−	17.6008i	−0.465393	−	1.43233i	0.393094	−	0.919498i	$-0.371405\pi$
$152$	−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	$0.0923423\pi$
$167$	−0.497966	+	4.73783i	−0.0385338	+	0.366625i	−0.996749	+	0.0805749i	$0.974324\pi$
$168$	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	−0.611108	−	0.791548i	$-0.709276\pi$
$179$	3.21074	−	3.56589i	0.239982	−	0.266527i	0.851089	+	0.525021i	$0.175942\pi$
$180$	−0.236068	−	0.408882i	−0.0175955	−	0.0304762i
$181$	8.50000	−	14.7224i	0.631800	−	1.09431i	−0.355383	−	0.934721i	$-0.615650\pi$
$181$	8.50000	−	14.7224i	0.631800	−	1.09431i	0.987184	−	0.159589i	$-0.0510169\pi$
$182$	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	−0.169893	−	0.985463i	$-0.554342\pi$
$197$	−10.1888	−	2.16569i	−0.725921	−	0.154299i	−0.556028	+	0.831163i	$0.687675\pi$
$198$	1.77116	−	16.8514i	0.125871	−	1.19758i
$199$	−1.38937	−	13.2190i	−0.0984899	−	0.937069i	−0.926485	−	0.376333i	$-0.877185\pi$
$199$	−1.38937	−	13.2190i	−0.0984899	−	0.937069i	0.827995	−	0.560736i	$-0.189482\pi$
$200$	−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	0.570965	−	0.820974i	$-0.306569\pi$
$223$	−6.35410	−	11.0056i	−0.425502	−	0.736991i	−0.996467	+	0.0839830i	$0.973236\pi$
$224$	−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	−0.999912	−	0.0132691i	$-0.995776\pi$
$229$	−0.288910	+	2.74879i	−0.0190917	+	0.181645i	0.980820	+	0.194914i	$0.0624429\pi$
$230$	−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	0.379191	−	0.925319i	$-0.376202\pi$
$239$	−8.97733	−	9.97033i	−0.580695	−	0.644927i	−0.959886	+	0.280391i	$0.909536\pi$
$240$	0.572949	−	1.76336i	0.0369837	−	0.113824i
$241$	11.6911	−	12.9843i	0.753093	−	0.836394i	−0.237763	−	0.971323i	$-0.576414\pi$
$241$	11.6911	−	12.9843i	0.753093	−	0.836394i	0.990855	+	0.134929i	$0.0430807\pi$
$242$	−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	0.832219	−	0.554447i	$-0.187070\pi$
$251$	15.4794	+	6.89186i	0.977049	+	0.435010i	0.144829	+	0.989457i	$0.453737\pi$
$252$	−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	−0.187769	−	0.982213i	$-0.560126\pi$
$263$	11.1631	−	8.11048i	0.688347	−	0.500114i	0.876116	+	0.482100i	$0.160126\pi$
$264$	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	−0.303493	−	0.952834i	$-0.598153\pi$
$269$	3.30524	−	1.47159i	0.201524	−	0.0897242i	0.505017	+	0.863109i	$0.331486\pi$
$270$	2.06773	+	2.29644i	0.125838	+	0.139757i
$271$	3.26393	−	10.0453i	0.198270	−	0.610212i	−0.801653	−	0.597790i	$-0.796046\pi$
$271$	3.26393	−	10.0453i	0.198270	−	0.610212i	0.999923	−	0.0124220i	$-0.00395415\pi$
$272$	−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	0.529810	−	0.848116i	$-0.322263\pi$
$277$	−1.88197	−	1.36733i	−0.113076	−	0.0821548i	−0.642886	+	0.765962i	$0.722263\pi$
$278$	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	0.488582	−	0.872518i	$-0.337514\pi$
$313$	2.95630	+	1.31623i	0.167100	+	0.0743976i	−0.321482	+	0.946916i	$0.604181\pi$
$314$	−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	0.237479	−	0.971393i	$-0.423679\pi$
$331$	20.3451	−	9.05823i	1.11827	−	0.497885i	0.880790	+	0.473507i	$0.157012\pi$
$332$	−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	$0.175806\pi$
$337$	8.64590	+	26.6093i	0.470972	+	1.44950i	−0.380342	+	0.924846i	$0.624194\pi$
$338$	−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	$-0.835709\pi$
$347$	−16.0623	−	27.8207i	−0.862270	−	1.49350i	0.00746305	−	0.999972i	$-0.497624\pi$
$348$	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	$0.406177\pi$
$353$	−3.61857	+	34.4284i	−0.192597	+	1.83244i	−0.483101	+	0.875565i	$0.660490\pi$
$354$	−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	−0.899445	−	0.437035i	$-0.856029\pi$
$367$	−1.36475	+	2.36381i	−0.0712391	+	0.123390i	0.828206	+	0.560425i	$0.189362\pi$
$368$	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	−0.0527459	−	0.998608i	$-0.516797\pi$
$383$	−9.92419	−	2.10945i	−0.507102	−	0.107788i	−0.454356	+	0.890820i	$0.650131\pi$
$384$	−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	0.580279	−	0.814418i	$-0.302944\pi$
$389$	28.4337	−	6.04376i	1.44164	−	0.306431i	0.861365	+	0.507987i	$0.169610\pi$
$390$	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	0.953812	−	0.300404i	$-0.0971215\pi$
$401$	19.2812	+	14.0086i	0.962855	+	0.699555i	0.00904282	+	0.999959i	$0.497122\pi$
$402$	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	0.993729	−	0.111811i	$-0.0356653\pi$
$409$	8.09017	+	14.0126i	0.400033	+	0.692878i	−0.593696	+	0.804689i	$0.702332\pi$
$410$	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	$-0.728925\pi$
$433$	−27.4164			−1.31755			−0.658774	+	0.752341i	$0.728925\pi$
$434$		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	−0.999963	−	0.00864558i	$-0.997248\pi$
$449$	−27.5623	+	20.0252i	−1.30075	+	0.945047i	−0.300783	+	0.953693i	$0.597248\pi$
$450$	−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	$0.315098\pi$
$457$	−8.26393	+	25.4338i	−0.386570	+	1.18974i	−0.935335	+	0.353764i	$0.884902\pi$
$458$	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	$0.164797\pi$
$461$	9.80902	+	30.1891i	0.456851	+	1.40604i	−0.412096	+	0.911140i	$0.635203\pi$
$462$	23.2190	+	10.3378i	1.08025	+	0.480957i
$463$	7.38197	+	5.36331i	0.343069	+	0.249254i	0.745956	−	0.665996i	$-0.231993\pi$
$463$	7.38197	+	5.36331i	0.343069	+	0.249254i	−0.402887	+	0.915250i	$0.631993\pi$
$464$	−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	$0.165437\pi$
$487$	28.0520	+	31.1548i	1.27116	+	1.41176i	0.403205	+	0.915110i	$0.367896\pi$
$488$	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	−0.512570	−	0.858645i	$-0.671306\pi$
$491$	10.7984	−	18.7033i	0.487324	−	0.844070i	0.999894	+	0.0145759i	$0.00463981\pi$
$492$	−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	0.172606	−	0.984991i	$-0.444781\pi$
$499$	−9.91572	−	4.41476i	−0.443888	−	0.197632i	−0.616495	+	0.787359i	$0.711448\pi$
$500$	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	$-0.939643\pi$
$509$	−1.36830	−	13.0185i	−0.0606486	−	0.577033i	0.921428	−	0.388550i	$-0.127024\pi$
$510$	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	0.983870	−	0.178883i	$-0.0572482\pi$
$523$	1.89261	+	5.82485i	0.0827580	+	0.254703i	−0.901112	+	0.433586i	$0.857248\pi$
$524$	−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	$-0.500752\pi$
$557$	−0.111456			−0.00472255			−0.00236127	+	0.999997i	$0.500752\pi$
$558$		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	0.680227	−	0.733002i	$-0.261881\pi$
$569$	23.9374	+	5.08804i	1.00351	+	0.213302i	0.323280	+	0.946304i	$0.395215\pi$
$570$	0.323011	−	3.07324i	0.0135294	−	0.128724i
$571$	0.731699	+	6.96165i	0.0306207	+	0.291336i	0.999106	+	0.0422669i	$0.0134580\pi$
$571$	0.731699	+	6.96165i	0.0306207	+	0.291336i	−0.968486	+	0.249069i	$0.919875\pi$
$572$	−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	$-0.990747\pi$
$587$	−32.3713	−	23.5191i	−1.33611	−	0.970739i	−0.336530	−	0.941673i	$-0.609253\pi$
$588$	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	$-0.818554\pi$
$601$	2.29963	−	21.8795i	0.0938037	−	0.892483i	0.935689	−	0.352826i	$-0.114779\pi$
$602$	−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	$0.567449\pi$
$613$	−28.7353	+	31.9138i	−1.16061	+	1.28899i	−0.950294	+	0.311353i	$0.899218\pi$
$614$	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	$-0.202772\pi$
$619$	40.0000			1.60774			0.803868	+	0.594808i	$0.202772\pi$
$620$		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	−0.710631	−	0.703565i	$-0.751590\pi$
$631$	−41.3468	−	8.78853i	−1.64599	−	0.349866i	−0.935359	+	0.353699i	$0.884924\pi$
$632$		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	0.211419	−	0.977395i	$-0.432191\pi$
$641$	27.3240	−	12.1654i	1.07923	−	0.480505i	0.867813	+	0.496890i	$0.165525\pi$
$642$	−10.9244	−	12.1328i	−0.431151	−	0.478842i
$643$	−4.59017	+	14.1271i	−0.181019	+	0.557118i	−0.999857	−	0.0169060i	$-0.994618\pi$
$643$	−4.59017	+	14.1271i	−0.181019	+	0.557118i	0.818838	+	0.574024i	$0.194618\pi$
$644$	−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	0.908895	−	0.417026i	$-0.136928\pi$
$647$	−1.81966	−	5.60034i	−0.0715382	−	0.220172i	−0.980433	+	0.196854i	$0.936928\pi$
$648$	−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	0.381113	−	0.924529i	$-0.375541\pi$
$673$	−14.9995	−	16.6586i	−0.578188	−	0.642143i	−0.959301	+	0.282385i	$0.908874\pi$
$674$	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	−0.890385	−	0.455207i	$-0.849565\pi$
$677$	−1.32624	+	2.29711i	−0.0509715	+	0.0882852i	0.839414	+	0.543493i	$0.182898\pi$
$678$	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	0.868110	−	0.496372i	$-0.165335\pi$
$709$	−3.35410	−	10.3229i	−0.125966	−	0.387683i	−0.994076	+	0.108689i	$0.965335\pi$
$710$	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	$-0.864314\pi$
$719$	−21.8090	−	37.7743i	−0.813339	−	1.40874i	0.0971753	−	0.995267i	$-0.469019\pi$
$720$	−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	−0.779640	−	0.626228i	$-0.784598\pi$
$739$	4.14590	−	7.18091i	0.152509	−	0.264154i	0.932149	+	0.362074i	$0.117931\pi$
$740$	−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	$-0.357734\pi$
$743$	23.5623			0.864417			0.432209	+	0.901774i	$0.357734\pi$
$744$		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	0.998625	−	0.0524180i	$-0.0166928\pi$
$757$	0.300560	+	2.85964i	0.0109240	+	0.103935i	−0.987701	+	0.156353i	$0.950026\pi$
$758$	−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	−0.773993	−	0.633194i	$-0.781744\pi$
$761$	−33.7525	+	7.17432i	−1.22353	+	0.260069i	−0.449535	+	0.893263i	$0.648410\pi$
$762$	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	0.466727	−	0.884402i	$-0.345433\pi$
$773$	−6.39919	−	4.64928i	−0.230163	−	0.167223i	−0.696889	+	0.717179i	$0.745433\pi$
$774$	−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	$-0.673171\pi$
$787$	4.67328	−	44.4633i	0.166584	−	1.58495i	0.684176	−	0.729317i	$-0.260162\pi$
$788$	−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	0.333755	−	0.942660i	$-0.391684\pi$
$797$	−18.0292	−	20.0235i	−0.638628	−	0.709269i	−0.972383	+	0.233391i	$0.925018\pi$
$798$	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	−0.140338	−	0.990104i	$-0.544819\pi$
$809$	−27.5906	−	12.2841i	−0.970032	−	0.431886i	−0.829695	+	0.558217i	$0.811485\pi$
$810$	−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	−0.868115	−	0.496364i	$-0.834668\pi$
$821$	−19.0344	+	13.8293i	−0.664307	+	0.482647i	0.203808	+	0.979011i	$0.434668\pi$
$822$	3.23607	−	2.35114i	0.112871	−	0.0820055i
$823$	33.3789	−	7.09491i	1.16352	−	0.247313i	0.414616	−	0.909996i	$-0.363916\pi$
$823$	33.3789	−	7.09491i	1.16352	−	0.247313i	0.748900	+	0.662684i	$0.230583\pi$
$824$	−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	−0.676622	−	0.736330i	$-0.736557\pi$
$827$	−16.7419	+	7.45395i	−0.582171	+	0.259199i	0.0944512	+	0.995529i	$0.469890\pi$
$828$	2.87177	+	3.18943i	0.0998010	+	0.110840i
$829$	2.56231	−	7.88597i	0.0889926	−	0.273891i	−0.896649	−	0.442742i	$-0.854006\pi$
$829$	2.56231	−	7.88597i	0.0889926	−	0.273891i	0.985642	+	0.168851i	$0.0540057\pi$
$830$	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	$-0.814797\pi$
$859$	−37.9452	−	42.1424i	−1.29467	−	1.43788i	−0.459216	−	0.888324i	$-0.651870\pi$
$860$	−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	$-0.591194\pi$
$863$	20.2533	−	35.0797i	0.689430	−	1.19413i	0.972023	−	0.234888i	$-0.0754722\pi$
$864$	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	$0.131350\pi$
$881$	3.06903	+	29.1998i	0.103398	+	0.983768i	−0.812664	+	0.582732i	$0.801984\pi$
$882$	6.33070	−	1.34563i	0.213166	−	0.0453098i
$883$	−0.809017	+	0.587785i	−0.0272256	+	0.0197805i	−0.601315	−	0.799012i	$-0.705356\pi$
$883$	−0.809017	+	0.587785i	−0.0272256	+	0.0197805i	0.574089	+	0.818793i	$0.305356\pi$
$884$	−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	$0.108812\pi$
$911$	−1.48225	+	14.1027i	−0.0491091	+	0.467242i	−0.991247	+	0.132017i	$0.957855\pi$
$912$	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	$-0.314543\pi$
$929$	33.5410			1.10045			0.550223	+	0.835018i	$0.314543\pi$
$930$		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	0.972736	−	0.231915i	$-0.0744991\pi$
$941$	54.2054	+	11.5217i	1.76705	+	0.375597i	0.794310	+	0.607512i	$0.207832\pi$
$942$	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	−0.741701	−	0.670730i	$-0.765981\pi$
$947$	−35.2807	+	7.49914i	−1.14647	+	0.243689i	−0.404767	+	0.914420i	$0.632647\pi$
$948$		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	−0.894284	−	0.447499i	$-0.852315\pi$
$953$	2.84752	−	8.76378i	0.0922404	−	0.283887i	0.986525	+	0.163613i	$0.0523147\pi$
$954$	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	0.948054	−	0.318111i	$-0.103048\pi$
$967$	6.17376	+	10.6933i	0.198535	+	0.343872i	−0.749519	+	0.661983i	$0.769715\pi$
$968$	−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	0.822755	−	0.568397i	$-0.192436\pi$
$983$	5.37609	+	5.97075i	0.171471	+	0.190437i	−0.651284	+	0.758834i	$0.725769\pi$
$984$	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	$-0.583203\pi$
$991$	−16.2705			−0.516850			−0.258425	+	0.966031i	$0.583203\pi$
$992$		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.c.732.1		8
31.2	even	5		961.2.g.g.448.1		8
31.3	odd	30		31.2.d.a.16.1	yes	4
31.4	even	5		961.2.c.d.521.2		4
31.5	even	3	inner	961.2.g.c.816.1		8
31.6	odd	6		31.2.d.a.2.1	✓	4
31.7	even	15		961.2.a.e.1.2		2
31.8	even	5		961.2.g.g.844.1		8
31.9	even	15		961.2.g.g.547.1		8
31.10	even	15		961.2.g.g.846.1		8
31.11	odd	30		961.2.c.f.439.2		4
31.12	odd	30		961.2.d.f.628.1		4
31.13	odd	30		961.2.g.b.235.1		8
31.14	even	15		961.2.d.e.531.1		4
31.15	odd	10		961.2.g.b.338.1		8
31.16	even	5	inner	961.2.g.c.338.1		8
31.17	odd	30		961.2.d.f.531.1		4
31.18	even	15	inner	961.2.g.c.235.1		8
31.19	even	15		961.2.d.e.628.1		4
31.20	even	15		961.2.c.d.439.2		4
31.21	odd	30		961.2.g.f.846.1		8
31.22	odd	30		961.2.g.f.547.1		8
31.23	odd	10		961.2.g.f.844.1		8
31.24	odd	30		961.2.a.d.1.2		2
31.25	even	3		961.2.d.b.374.1		4
31.26	odd	6		961.2.g.b.816.1		8
31.27	odd	10		961.2.c.f.521.2		4
31.28	even	15		961.2.d.b.388.1		4
31.29	odd	10		961.2.g.f.448.1		8
31.30	odd	2		961.2.g.b.732.1		8
93.38	odd	30		8649.2.a.f.1.1		2
93.65	even	30		279.2.i.a.109.1		4
93.68	even	6		279.2.i.a.64.1		4
93.86	even	30		8649.2.a.g.1.1		2
124.3	even	30		496.2.n.b.481.1		4
124.99	even	6		496.2.n.b.33.1		4
155.3	even	60		775.2.bf.a.574.2		8
155.34	odd	30		775.2.k.c.326.1		4
155.37	even	12		775.2.bf.a.374.2		8
155.68	even	12		775.2.bf.a.374.1		8
155.99	odd	6		775.2.k.c.126.1		4
155.127	even	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	31.6	odd	6
31.2.d.a.16.1	yes	4	31.3	odd	30
279.2.i.a.64.1		4	93.68	even	6
279.2.i.a.109.1		4	93.65	even	30
496.2.n.b.33.1		4	124.99	even	6
496.2.n.b.481.1		4	124.3	even	30
775.2.k.c.126.1		4	155.99	odd	6
775.2.k.c.326.1		4	155.34	odd	30
775.2.bf.a.374.1		8	155.68	even	12
775.2.bf.a.374.2		8	155.37	even	12
775.2.bf.a.574.1		8	155.127	even	60
775.2.bf.a.574.2		8	155.3	even	60
961.2.a.d.1.2		2	31.24	odd	30
961.2.a.e.1.2		2	31.7	even	15
961.2.c.d.439.2		4	31.20	even	15
961.2.c.d.521.2		4	31.4	even	5
961.2.c.f.439.2		4	31.11	odd	30
961.2.c.f.521.2		4	31.27	odd	10
961.2.d.b.374.1		4	31.25	even	3
961.2.d.b.388.1		4	31.28	even	15
961.2.d.e.531.1		4	31.14	even	15
961.2.d.e.628.1		4	31.19	even	15
961.2.d.f.531.1		4	31.17	odd	30
961.2.d.f.628.1		4	31.12	odd	30
961.2.g.b.235.1		8	31.13	odd	30
961.2.g.b.338.1		8	31.15	odd	10
961.2.g.b.732.1		8	31.30	odd	2
961.2.g.b.816.1		8	31.26	odd	6
961.2.g.c.235.1		8	31.18	even	15	inner
961.2.g.c.338.1		8	31.16	even	5	inner
961.2.g.c.732.1		8	1.1	even	1	trivial
961.2.g.c.816.1		8	31.5	even	3	inner
961.2.g.f.448.1		8	31.29	odd	10
961.2.g.f.547.1		8	31.22	odd	30
961.2.g.f.844.1		8	31.23	odd	10
961.2.g.f.846.1		8	31.21	odd	30
961.2.g.g.448.1		8	31.2	even	5
961.2.g.g.547.1		8	31.9	even	15
961.2.g.g.844.1		8	31.8	even	5
961.2.g.g.846.1		8	31.10	even	15
8649.2.a.f.1.1		2	93.38	odd	30
8649.2.a.g.1.1		2	93.86	even	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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