LMFDB - Embedded newform 847.2.n.f.9.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [847,2,Mod(9,847)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(847, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([10, 18]))

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

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

chi := DirichletCharacter("847.9");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 847 = 7 \cdot 11^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	847.n (of order $15$, degree $8$, not minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$6.76332905120$
Analytic rank:	$0$
Dimension:	$24$
Relative dimension:	$3$ over $\Q(\zeta_{15})$
Twist minimal:	no (minimal twist has level 77)
Sato-Tate group:	$\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label			9.1
Character	$\chi$	$=$	847.9
Dual form			847.2.n.f.753.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.25755 - 1.39666i) q^{2} +(0.596274 + 0.265478i) q^{3} +(-0.160147 + 1.52370i) q^{4} +(-3.45490 - 0.734363i) q^{5} +(-0.379065 - 1.16664i) q^{6} +(-1.19676 + 2.35961i) q^{7} +(-0.711438 + 0.516890i) q^{8} +(-1.72233 - 1.91284i) q^{9} +O(q^{10})$	\(q+(-1.25755 - 1.39666i) q^{2} +(0.596274 + 0.265478i) q^{3} +(-0.160147 + 1.52370i) q^{4} +(-3.45490 - 0.734363i) q^{5} +(-0.379065 - 1.16664i) q^{6} +(-1.19676 + 2.35961i) q^{7} +(-0.711438 + 0.516890i) q^{8} +(-1.72233 - 1.91284i) q^{9} +(3.31908 + 5.74881i) q^{10} +(-0.500000 + 0.866025i) q^{12} +(-1.36322 + 4.19556i) q^{13} +(4.80055 - 1.29588i) q^{14} +(-1.86511 - 1.35508i) q^{15} +(4.61381 + 0.980695i) q^{16} +(3.51225 - 3.90075i) q^{17} +(-0.505656 + 4.81100i) q^{18} +(0.189741 + 1.80526i) q^{19} +(1.67224 - 5.14662i) q^{20} +(-1.34002 + 1.08926i) q^{21} +(3.16637 - 5.48432i) q^{23} +(-0.561435 + 0.119337i) q^{24} +(6.82935 + 3.04062i) q^{25} +(7.57408 - 3.37220i) q^{26} +(-1.12425 - 3.46009i) q^{27} +(-3.40367 - 2.20138i) q^{28} +(1.55434 + 1.12930i) q^{29} +(0.452896 + 4.30901i) q^{30} +(-1.43583 + 0.305196i) q^{31} +(-3.55303 - 6.15403i) q^{32} -9.86484 q^{34} +(5.86749 - 7.27338i) q^{35} +(3.19041 - 2.31797i) q^{36} +(4.06835 - 1.81135i) q^{37} +(2.28272 - 2.53522i) q^{38} +(-1.92668 + 2.13980i) q^{39} +(2.83753 - 1.26335i) q^{40} +(0.229048 - 0.166413i) q^{41} +(3.20648 + 0.501742i) q^{42} +3.41147 q^{43} +(4.54576 + 7.87349i) q^{45} +(-11.6416 + 2.47450i) q^{46} +(0.476062 + 4.52943i) q^{47} +(2.49074 + 1.80963i) q^{48} +(-4.13554 - 5.64777i) q^{49} +(-4.34157 - 13.3620i) q^{50} +(3.12983 - 1.39349i) q^{51} +(-6.17444 - 2.74904i) q^{52} +(7.07633 - 1.50412i) q^{53} +(-3.41875 + 5.92145i) q^{54} +(-0.368241 - 2.29731i) q^{56} +(-0.366121 + 1.12680i) q^{57} +(-0.377433 - 3.59103i) q^{58} +(-0.997184 + 9.48757i) q^{59} +(2.36343 - 2.62485i) q^{60} +(-1.12287 - 0.238673i) q^{61} +(2.23189 + 1.62156i) q^{62} +(6.57477 - 1.77482i) q^{63} +(-1.21174 + 3.72935i) q^{64} +(7.79086 - 13.4942i) q^{65} +(0.347296 + 0.601535i) q^{67} +(5.38107 + 5.97629i) q^{68} +(3.34400 - 2.42956i) q^{69} +(-17.5371 + 0.951803i) q^{70} +(2.92364 + 8.99804i) q^{71} +(2.21405 + 0.470612i) q^{72} +(0.245359 - 2.33444i) q^{73} +(-7.64600 - 3.40422i) q^{74} +(3.26495 + 3.62609i) q^{75} -2.78106 q^{76} +5.41147 q^{78} +(8.31008 + 9.22928i) q^{79} +(-15.2201 - 6.77641i) q^{80} +(-0.558945 + 5.31800i) q^{81} +(-0.520461 - 0.110628i) q^{82} +(3.50201 + 10.7781i) q^{83} +(-1.44511 - 2.21623i) q^{84} +(-14.9990 + 10.8974i) q^{85} +(-4.29011 - 4.76465i) q^{86} +(0.627011 + 1.08602i) q^{87} +(1.73396 - 3.00330i) q^{89} +(5.28001 - 16.2502i) q^{90} +(-8.26845 - 8.23774i) q^{91} +(7.84935 + 5.70289i) q^{92} +(-0.937174 - 0.199202i) q^{93} +(5.72738 - 6.36090i) q^{94} +(0.670182 - 6.37635i) q^{95} +(-0.484819 - 4.61275i) q^{96} +(4.74258 - 14.5961i) q^{97} +(-2.68732 + 12.8783i) q^{98} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q + 3 q^{3} + 6 q^{5} - 6 q^{6} + 6 q^{8}+O(q^{10}) $ 24 * q + 3 * q^3 + 6 * q^5 - 6 * q^6 + 6 * q^8	$ 24 q + 3 q^{3} + 6 q^{5} - 6 q^{6} + 6 q^{8} + 12 q^{10} - 12 q^{12} + 6 q^{13} + 12 q^{14} - 18 q^{15} - 6 q^{16} + 3 q^{17} + 12 q^{18} - 9 q^{19} - 12 q^{20} + 48 q^{21} - 6 q^{24} + 3 q^{25} + 9 q^{26} - 12 q^{27} + 3 q^{28} - 6 q^{29} + 6 q^{30} + 9 q^{31} - 36 q^{32} - 48 q^{34} - 15 q^{35} - 6 q^{36} - 3 q^{39} - 3 q^{40} + 18 q^{41} + 18 q^{42} - 12 q^{45} + 24 q^{46} - 3 q^{47} + 36 q^{48} + 30 q^{50} + 18 q^{51} - 9 q^{52} + 9 q^{53} - 72 q^{54} + 12 q^{56} + 15 q^{58} + 6 q^{60} - 12 q^{61} - 6 q^{62} + 6 q^{63} + 6 q^{64} + 60 q^{65} + 21 q^{68} - 42 q^{69} - 45 q^{70} + 18 q^{71} - 12 q^{72} - 6 q^{73} - 18 q^{74} + 9 q^{75} + 72 q^{76} + 48 q^{78} + 3 q^{79} - 27 q^{80} + 15 q^{81} - 3 q^{82} - 30 q^{83} - 54 q^{85} - 9 q^{86} - 96 q^{87} + 60 q^{89} - 72 q^{90} - 9 q^{91} + 6 q^{92} + 6 q^{93} - 9 q^{95} - 3 q^{96} - 90 q^{97} + 24 q^{98}+O(q^{100}) $ 24 * q + 3 * q^3 + 6 * q^5 - 6 * q^6 + 6 * q^8 + 12 * q^10 - 12 * q^12 + 6 * q^13 + 12 * q^14 - 18 * q^15 - 6 * q^16 + 3 * q^17 + 12 * q^18 - 9 * q^19 - 12 * q^20 + 48 * q^21 - 6 * q^24 + 3 * q^25 + 9 * q^26 - 12 * q^27 + 3 * q^28 - 6 * q^29 + 6 * q^30 + 9 * q^31 - 36 * q^32 - 48 * q^34 - 15 * q^35 - 6 * q^36 - 3 * q^39 - 3 * q^40 + 18 * q^41 + 18 * q^42 - 12 * q^45 + 24 * q^46 - 3 * q^47 + 36 * q^48 + 30 * q^50 + 18 * q^51 - 9 * q^52 + 9 * q^53 - 72 * q^54 + 12 * q^56 + 15 * q^58 + 6 * q^60 - 12 * q^61 - 6 * q^62 + 6 * q^63 + 6 * q^64 + 60 * q^65 + 21 * q^68 - 42 * q^69 - 45 * q^70 + 18 * q^71 - 12 * q^72 - 6 * q^73 - 18 * q^74 + 9 * q^75 + 72 * q^76 + 48 * q^78 + 3 * q^79 - 27 * q^80 + 15 * q^81 - 3 * q^82 - 30 * q^83 - 54 * q^85 - 9 * q^86 - 96 * q^87 + 60 * q^89 - 72 * q^90 - 9 * q^91 + 6 * q^92 + 6 * q^93 - 9 * q^95 - 3 * q^96 - 90 * q^97 + 24 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/847\mathbb{Z}\right)^\times$.

$n$	$122$	$365$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{3}{5}\right)$

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 $

$2$	−1.25755	−	1.39666i	−0.889225	−	0.987585i	0.110755	−	0.993848i	$-0.464673\pi$
$2$	−1.25755	−	1.39666i	−0.889225	−	0.987585i	−0.999980	+	0.00626319i	$0.998006\pi$
$3$	0.596274	+	0.265478i	0.344259	+	0.153274i	0.571581	−	0.820546i	$-0.306330\pi$
$3$	0.596274	+	0.265478i	0.344259	+	0.153274i	−0.227322	+	0.973820i	$0.572997\pi$
$4$	−0.160147	+	1.52370i	−0.0800734	+	0.761848i
$5$	−3.45490	−	0.734363i	−1.54508	−	0.328417i	−0.645014	−	0.764171i	$-0.723149\pi$
$5$	−3.45490	−	0.734363i	−1.54508	−	0.328417i	−0.900066	+	0.435754i	$0.856482\pi$
$6$	−0.379065	−	1.16664i	−0.154753	−	0.476280i
$7$	−1.19676	+	2.35961i	−0.452332	+	0.891850i
$7$	−1.19676	+	2.35961i	−0.452332	+	0.891850i
$8$	−0.711438	+	0.516890i	−0.251531	+	0.182748i
$9$	−1.72233	−	1.91284i	−0.574109	−	0.637613i
$10$	3.31908	+	5.74881i	1.04958	+	1.81793i
$11$		0			0
$11$		0			0
$12$	−0.500000	+	0.866025i	−0.144338	+	0.250000i
$13$	−1.36322	+	4.19556i	−0.378089	+	1.16364i	0.563281	+	0.826265i	$0.309539\pi$
$13$	−1.36322	+	4.19556i	−0.378089	+	1.16364i	−0.941371	+	0.337374i	$0.890461\pi$
$14$	4.80055	−	1.29588i	1.28300	−	0.346339i
$15$	−1.86511	−	1.35508i	−0.481570	−	0.349881i
$16$	4.61381	+	0.980695i	1.15345	+	0.245174i
$17$	3.51225	−	3.90075i	0.851845	−	0.946070i	−0.147229	−	0.989102i	$-0.547035\pi$
$17$	3.51225	−	3.90075i	0.851845	−	0.946070i	0.999074	+	0.0430328i	$0.0137020\pi$
$18$	−0.505656	+	4.81100i	−0.119184	+	1.13396i
$19$	0.189741	+	1.80526i	0.0435295	+	0.414156i	0.994489	+	0.104840i	$0.0334332\pi$
$19$	0.189741	+	1.80526i	0.0435295	+	0.414156i	−0.950960	+	0.309315i	$0.899900\pi$
$20$	1.67224	−	5.14662i	0.373924	−	1.15082i
$21$	−1.34002	+	1.08926i	−0.292417	+	0.237697i
$22$		0			0
$23$	3.16637	−	5.48432i	0.660235	−	1.14356i	−0.320319	−	0.947310i	$-0.603790\pi$
$23$	3.16637	−	5.48432i	0.660235	−	1.14356i	0.980554	−	0.196250i	$-0.0628765\pi$
$24$	−0.561435	+	0.119337i	−0.114602	+	0.0243595i
$25$	6.82935	+	3.04062i	1.36587	+	0.608124i
$26$	7.57408	−	3.37220i	1.48540	−	0.661342i
$27$	−1.12425	−	3.46009i	−0.216362	−	0.665895i
$28$	−3.40367	−	2.20138i	−0.643234	−	0.416022i
$29$	1.55434	+	1.12930i	0.288634	+	0.209705i	0.722675	−	0.691188i	$-0.242912\pi$
$29$	1.55434	+	1.12930i	0.288634	+	0.209705i	−0.434040	+	0.900893i	$0.642912\pi$
$30$	0.452896	+	4.30901i	0.0826870	+	0.786715i
$31$	−1.43583	+	0.305196i	−0.257883	+	0.0548148i	−0.335039	−	0.942204i	$-0.608749\pi$
$31$	−1.43583	+	0.305196i	−0.257883	+	0.0548148i	0.0771556	+	0.997019i	$0.475416\pi$
$32$	−3.55303	−	6.15403i	−0.628094	−	1.08789i
$33$		0			0
$34$	−9.86484			−1.69181
$35$	5.86749	−	7.27338i	0.991788	−	1.22943i
$36$	3.19041	−	2.31797i	0.531735	−	0.386328i
$37$	4.06835	−	1.81135i	0.668833	−	0.297783i	−0.0440886	−	0.999028i	$-0.514038\pi$
$37$	4.06835	−	1.81135i	0.668833	−	0.297783i	0.712921	+	0.701244i	$0.247372\pi$
$38$	2.28272	−	2.53522i	0.370306	−	0.411267i
$39$	−1.92668	+	2.13980i	−0.308516	+	0.342642i
$40$	2.83753	−	1.26335i	0.448653	−	0.199753i
$41$	0.229048	−	0.166413i	0.0357712	−	0.0259893i	−0.569756	−	0.821814i	$-0.692962\pi$
$41$	0.229048	−	0.166413i	0.0357712	−	0.0259893i	0.605527	+	0.795825i	$0.292962\pi$
$42$	3.20648	+	0.501742i	0.494770	+	0.0774205i
$43$	3.41147			0.520245			0.260122	−	0.965576i	$-0.416237\pi$
$43$	3.41147			0.520245			0.260122	+	0.965576i	$0.416237\pi$
$44$		0			0
$45$	4.54576	+	7.87349i	0.677642	+	1.17371i
$46$	−11.6416	+	2.47450i	−1.71646	+	0.364845i
$47$	0.476062	+	4.52943i	0.0694408	+	0.660685i	0.972776	+	0.231749i	$0.0744448\pi$
$47$	0.476062	+	4.52943i	0.0694408	+	0.660685i	−0.903335	+	0.428936i	$0.858889\pi$
$48$	2.49074	+	1.80963i	0.359508	+	0.261198i
$49$	−4.13554	−	5.64777i	−0.590792	−	0.806824i
$50$	−4.34157	−	13.3620i	−0.613991	−	1.88967i
$51$	3.12983	−	1.39349i	0.438263	−	0.195127i
$52$	−6.17444	−	2.74904i	−0.856241	−	0.381223i
$53$	7.07633	−	1.50412i	0.972009	−	0.206607i	0.305573	−	0.952169i	$-0.401152\pi$
$53$	7.07633	−	1.50412i	0.972009	−	0.206607i	0.666436	+	0.745562i	$0.267819\pi$
$54$	−3.41875	+	5.92145i	−0.465233	+	0.805807i
$55$		0			0
$56$	−0.368241	−	2.29731i	−0.0492083	−	0.306991i
$57$	−0.366121	+	1.12680i	−0.0484939	+	0.149249i
$58$	−0.377433	−	3.59103i	−0.0495594	−	0.471526i
$59$	−0.997184	+	9.48757i	−0.129822	+	1.23518i	0.714614	+	0.699520i	$0.246603\pi$
$59$	−0.997184	+	9.48757i	−0.129822	+	1.23518i	−0.844436	+	0.535657i	$0.820064\pi$
$60$	2.36343	−	2.62485i	0.305117	−	0.338867i
$61$	−1.12287	−	0.238673i	−0.143769	−	0.0305590i	0.135465	−	0.990782i	$-0.456747\pi$
$61$	−1.12287	−	0.238673i	−0.143769	−	0.0305590i	−0.279234	+	0.960223i	$0.590080\pi$
$62$	2.23189	+	1.62156i	0.283451	+	0.205939i
$63$	6.57477	−	1.77482i	0.828343	−	0.223606i
$64$	−1.21174	+	3.72935i	−0.151468	+	0.466169i
$65$	7.79086	−	13.4942i	0.966337	−	1.67375i
$66$		0			0
$67$	0.347296	+	0.601535i	0.0424290	+	0.0734892i	0.886460	−	0.462805i	$-0.153157\pi$
$67$	0.347296	+	0.601535i	0.0424290	+	0.0734892i	−0.844031	+	0.536294i	$0.819824\pi$
$68$	5.38107	+	5.97629i	0.652551	+	0.724731i
$69$	3.34400	−	2.42956i	0.402570	−	0.292484i
$70$	−17.5371	+	0.951803i	−2.09608	+	0.113762i
$71$	2.92364	+	8.99804i	0.346972	+	1.06787i	0.960519	+	0.278213i	$0.0897422\pi$
$71$	2.92364	+	8.99804i	0.346972	+	1.06787i	−0.613547	+	0.789658i	$0.710258\pi$
$72$	2.21405	+	0.470612i	0.260929	+	0.0554621i
$73$	0.245359	−	2.33444i	0.0287171	−	0.273225i	−0.970736	−	0.240150i	$-0.922803\pi$
$73$	0.245359	−	2.33444i	0.0287171	−	0.273225i	0.999453	−	0.0330750i	$-0.0105300\pi$
$74$	−7.64600	−	3.40422i	−0.888829	−	0.395732i
$75$	3.26495	+	3.62609i	0.377003	+	0.418705i
$76$	−2.78106			−0.319009
$77$		0			0
$78$	5.41147			0.612729
$79$	8.31008	+	9.22928i	0.934957	+	1.03837i	0.999182	+	0.0404392i	$0.0128757\pi$
$79$	8.31008	+	9.22928i	0.934957	+	1.03837i	−0.0642253	+	0.997935i	$0.520458\pi$
$80$	−15.2201	−	6.77641i	−1.70166	−	0.757626i
$81$	−0.558945	+	5.31800i	−0.0621050	+	0.590889i
$82$	−0.520461	−	0.110628i	−0.0574754	−	0.0122168i
$83$	3.50201	+	10.7781i	0.384396	+	1.18305i	0.936918	+	0.349550i	$0.113666\pi$
$83$	3.50201	+	10.7781i	0.384396	+	1.18305i	−0.552522	+	0.833498i	$0.686334\pi$
$84$	−1.44511	−	2.21623i	−0.157674	−	0.241810i
$85$	−14.9990	+	10.8974i	−1.62687	+	1.18199i
$86$	−4.29011	−	4.76465i	−0.462615	−	0.513786i
$87$	0.627011	+	1.08602i	0.0672227	+	0.116433i
$88$		0			0
$89$	1.73396	−	3.00330i	0.183799	−	0.318349i	−0.759372	−	0.650656i	$-0.774494\pi$
$89$	1.73396	−	3.00330i	0.183799	−	0.318349i	0.943171	+	0.332307i	$0.107827\pi$
$90$	5.28001	−	16.2502i	0.556562	−	1.71292i
$91$	−8.26845	−	8.23774i	−0.866769	−	0.863550i
$92$	7.84935	+	5.70289i	0.818352	+	0.594567i
$93$	−0.937174	−	0.199202i	−0.0971804	−	0.0206563i
$94$	5.72738	−	6.36090i	0.590734	−	0.656076i
$95$	0.670182	−	6.37635i	0.0687592	−	0.654200i
$96$	−0.484819	−	4.61275i	−0.0494817	−	0.470787i
$97$	4.74258	−	14.5961i	0.481536	−	1.48201i	−0.355401	−	0.934714i	$-0.615656\pi$
$97$	4.74258	−	14.5961i	0.481536	−	1.48201i	0.836936	−	0.547300i	$-0.184344\pi$
$98$	−2.68732	+	12.8783i	−0.271460	+	1.30090i
$99$		0			0
$100$	−5.72668	+	9.91890i	−0.572668	+	0.991890i
$101$	6.55587	−	1.39349i	0.652334	−	0.138658i	0.130155	−	0.991494i	$-0.458453\pi$
$101$	6.55587	−	1.39349i	0.652334	−	0.138658i	0.522179	+	0.852836i	$0.325119\pi$
$102$	−5.88215	−	2.61890i	−0.582420	−	0.259310i
$103$	2.05454	−	0.914739i	0.202440	−	0.0901319i	−0.303013	−	0.952987i	$-0.597992\pi$
$103$	2.05454	−	0.914739i	0.202440	−	0.0901319i	0.505452	+	0.862855i	$0.331326\pi$
$104$	−1.19880	−	3.68951i	−0.117552	−	0.361787i
$105$	5.42956	−	2.77924i	0.529871	−	0.271226i
$106$	−10.9996	−	7.99169i	−1.06838	−	0.776221i
$107$	−1.20543	−	11.4689i	−0.116533	−	1.10874i	−0.883946	−	0.467589i	$-0.845123\pi$
$107$	−1.20543	−	11.4689i	−0.116533	−	1.10874i	0.767413	−	0.641153i	$-0.221544\pi$
$108$	5.45217	−	1.15890i	0.524636	−	0.111515i
$109$	−5.99273	−	10.3797i	−0.573999	−	0.994196i	−0.996150	−	0.0876698i	$-0.972058\pi$
$109$	−5.99273	−	10.3797i	−0.573999	−	0.994196i	0.422151	−	0.906526i	$-0.361275\pi$
$110$		0			0
$111$	2.90673			0.275894
$112$	−7.83567	+	9.71314i	−0.740401	+	0.917806i
$113$	−4.05135	+	2.94348i	−0.381119	+	0.276899i	−0.761806	−	0.647805i	$-0.775687\pi$
$113$	−4.05135	+	2.94348i	−0.381119	+	0.276899i	0.380688	+	0.924704i	$0.375687\pi$
$114$	2.03417	−	0.905673i	0.190518	−	0.0848240i
$115$	−14.9670	+	16.6225i	−1.39568	+	1.55006i
$116$	−1.96963	+	2.18749i	−0.182875	+	0.203104i
$117$	10.3733	−	4.61851i	0.959016	−	0.426981i
$118$	14.5049	−	10.5384i	1.33528	−	0.970139i
$119$	5.00094	+	12.9558i	0.458435	+	1.18766i
$120$	2.02734			0.185070
$121$		0			0
$122$	1.07873	+	1.86841i	0.0976632	+	0.169158i
$123$	0.180754	−	0.0384205i	0.0162981	−	0.00346426i
$124$	−0.235081	−	2.23665i	−0.0211109	−	0.200857i
$125$	−7.07422	−	5.13973i	−0.632738	−	0.459711i
$126$	−10.7469	−	6.95075i	−0.957413	−	0.619222i
$127$	4.39868	+	13.5377i	0.390320	+	1.20128i	0.932547	+	0.361048i	$0.117581\pi$
$127$	4.39868	+	13.5377i	0.390320	+	1.20128i	−0.542227	+	0.840232i	$0.682419\pi$
$128$	−6.25098	+	2.78312i	−0.552514	+	0.245995i
$129$	2.03417	+	0.905673i	0.179099	+	0.0797401i
$130$	−28.6441	+	6.08850i	−2.51226	+	0.533996i
$131$	2.55690	−	4.42869i	0.223398	−	0.386936i	−0.732440	−	0.680832i	$-0.761618\pi$
$131$	2.55690	−	4.42869i	0.223398	−	0.386936i	0.955838	+	0.293896i	$0.0949518\pi$
$132$		0			0
$133$	−4.48680	−	1.71275i	−0.389055	−	0.148514i
$134$	0.403393	−	1.24152i	0.0348479	−	0.107251i
$135$	1.34322	+	12.7799i	0.115606	+	1.09992i
$136$	−0.482489	+	4.59058i	−0.0413731	+	0.393639i
$137$	13.1868	−	14.6454i	1.12663	−	1.25124i	0.162238	−	0.986752i	$-0.448129\pi$
$137$	13.1868	−	14.6454i	1.12663	−	1.25124i	0.964388	−	0.264493i	$-0.0852046\pi$
$138$	−7.59851	−	1.61511i	−0.646828	−	0.137488i
$139$	−4.27631	−	3.10692i	−0.362712	−	0.263525i	0.391471	−	0.920191i	$-0.371966\pi$
$139$	−4.27631	−	3.10692i	−0.362712	−	0.263525i	−0.754182	+	0.656665i	$0.771966\pi$
$140$	10.1428	+	10.1051i	0.857220	+	0.854036i
$141$	−0.918602	+	2.82717i	−0.0773603	+	0.238090i
$142$	8.89053	−	15.3988i	0.746077	−	1.29224i
$143$		0			0
$144$	−6.07057	−	10.5145i	−0.505881	−	0.876212i
$145$	−4.54079	−	5.04306i	−0.377092	−	0.418804i
$146$	−3.56896	+	2.59300i	−0.295369	+	0.214598i
$147$	−0.966557	−	4.46552i	−0.0797203	−	0.368310i
$148$	2.10841	+	6.48901i	0.173310	+	0.533393i
$149$	−16.6437	−	3.53772i	−1.36350	−	0.289821i	−0.532659	−	0.846330i	$-0.678807\pi$
$149$	−16.6437	−	3.53772i	−1.36350	−	0.289821i	−0.830842	+	0.556509i	$0.812141\pi$
$150$	0.958552	−	9.12001i	0.0782654	−	0.744646i
$151$	−1.19009	−	0.529864i	−0.0968484	−	0.0431197i	0.357741	−	0.933821i	$-0.383547\pi$
$151$	−1.19009	−	0.529864i	−0.0968484	−	0.0431197i	−0.454589	+	0.890701i	$0.650214\pi$
$152$	−1.06811	−	1.18626i	−0.0866352	−	0.0962182i
$153$	−13.5107			−1.09228
$154$		0			0
$155$	5.18479			0.416453
$156$	−2.95185	−	3.27836i	−0.236337	−	0.262479i
$157$	12.5106	+	5.57009i	0.998457	+	0.444542i	0.839861	−	0.542802i	$-0.182636\pi$
$157$	12.5106	+	5.57009i	0.998457	+	0.444542i	0.158596	+	0.987344i	$0.449303\pi$
$158$	2.43975	−	23.2126i	0.194096	−	1.84670i
$159$	4.61875	+	0.981745i	0.366291	+	0.0778575i
$160$	7.75610	+	23.8708i	0.613173	+	1.88715i
$161$	9.15149	+	14.0348i	0.721238	+	1.10610i
$162$	8.13032	−	5.90702i	0.638778	−	0.464100i
$163$	10.9769	+	12.1910i	0.859774	+	0.954876i	0.999376	−	0.0353316i	$-0.0112487\pi$
$163$	10.9769	+	12.1910i	0.859774	+	0.954876i	−0.139601	+	0.990208i	$0.544582\pi$
$164$	0.216881	+	0.375650i	0.0169356	+	0.0293333i
$165$		0			0
$166$	10.6493	−	18.4451i	0.826546	−	1.43162i
$167$	2.54824	−	7.84268i	0.197189	−	0.606885i	−0.802755	−	0.596309i	$-0.796633\pi$
$167$	2.54824	−	7.84268i	0.197189	−	0.606885i	0.999944	−	0.0105762i	$-0.00336656\pi$
$168$	0.390313	−	1.46759i	0.0301133	−	0.113227i
$169$	−5.22714	−	3.79774i	−0.402088	−	0.292134i
$170$	34.0821	+	7.24437i	2.61398	+	0.555618i
$171$	3.12638	−	3.47220i	0.239080	−	0.265526i
$172$	−0.546337	+	5.19805i	−0.0416578	+	0.396348i
$173$	2.01054	+	19.1291i	0.152859	+	1.45436i	0.754874	+	0.655870i	$0.227698\pi$
$173$	2.01054	+	19.1291i	0.152859	+	1.45436i	−0.602015	+	0.798485i	$0.705635\pi$
$174$	0.728289	−	2.24144i	0.0552114	−	0.169923i
$175$	−15.3478	+	12.4757i	−1.16018	+	0.943076i
$176$		0			0
$177$	−3.11334	+	5.39246i	−0.234013	+	0.405322i
$178$	−6.37512	+	1.35507i	−0.477835	+	0.101567i
$179$	−1.21291	−	0.540023i	−0.0906572	−	0.0403632i	0.360907	−	0.932602i	$-0.382467\pi$
$179$	−1.21291	−	0.540023i	−0.0906572	−	0.0403632i	−0.451564	+	0.892239i	$0.649134\pi$
$180$	−12.7248	+	5.66544i	−0.948450	+	0.422277i
$181$	5.45499	+	16.7887i	0.405466	+	1.24790i	0.920506	+	0.390729i	$0.127777\pi$
$181$	5.45499	+	16.7887i	0.405466	+	1.24790i	−0.515040	+	0.857166i	$0.672223\pi$
$182$	−1.10726	+	21.9076i	−0.0820755	+	1.62390i
$183$	−0.606176	−	0.440413i	−0.0448098	−	0.0325563i
$184$	0.582111	+	5.53842i	0.0429138	+	0.408298i
$185$	−15.3859	+	3.27038i	−1.13120	+	0.240443i
$186$	0.900330	+	1.55942i	0.0660154	+	0.114342i
$187$		0			0
$188$	−6.97771			−0.508902
$189$	9.50993	+	1.48809i	0.691746	+	0.108243i
$190$	−9.74836	+	7.08259i	−0.707220	+	0.513825i
$191$	14.2080	−	6.32582i	1.02806	−	0.457720i	0.177788	−	0.984069i	$-0.443106\pi$
$191$	14.2080	−	6.32582i	1.02806	−	0.457720i	0.850269	+	0.526348i	$0.176439\pi$
$192$	−1.71259	+	1.90203i	−0.123596	+	0.137267i
$193$	3.49215	−	3.87843i	0.251371	−	0.279175i	−0.604232	−	0.796808i	$-0.706520\pi$
$193$	3.49215	−	3.87843i	0.251371	−	0.279175i	0.855603	+	0.517633i	$0.173187\pi$
$194$	−26.3498	+	11.7317i	−1.89181	+	0.842287i
$195$	8.22790	−	5.97792i	0.589212	−	0.428088i
$196$	9.26778	−	5.39684i	0.661984	−	0.385488i
$197$	4.61856			0.329058			0.164529	−	0.986372i	$-0.447390\pi$
$197$	4.61856			0.329058			0.164529	+	0.986372i	$0.447390\pi$
$198$		0			0
$199$	3.02481	+	5.23913i	0.214423	+	0.371392i	0.953094	−	0.302674i	$-0.0978794\pi$
$199$	3.02481	+	5.23913i	0.214423	+	0.371392i	−0.738671	+	0.674067i	$0.764546\pi$
$200$	−6.43032	+	1.36681i	−0.454692	+	0.0966478i
$201$	0.0473894	+	0.450880i	0.00334259	+	0.0318026i
$202$	−10.1906	−	7.40390i	−0.717008	−	0.520937i
$203$	−4.52488	+	2.31615i	−0.317584	+	0.162562i
$204$	1.62202	+	4.99207i	0.113564	+	0.349515i
$205$	−0.913545	+	0.406737i	−0.0638048	+	0.0284077i
$206$	−3.86127	−	1.71915i	−0.269027	−	0.119779i
$207$	−15.9442	+	3.38903i	−1.10820	+	0.235554i
$208$	−10.4042	+	18.0206i	−0.721401	+	1.24950i
$209$		0			0
$210$	−10.7096	−	4.08819i	−0.739033	−	0.282112i
$211$	−2.68678	+	8.26905i	−0.184965	+	0.569265i	−0.999948	−	0.0102209i	$-0.996747\pi$
$211$	−2.68678	+	8.26905i	−0.184965	+	0.569265i	0.814982	+	0.579486i	$0.196747\pi$
$212$	1.15857	+	11.0231i	0.0795709	+	0.757067i
$213$	−0.645494	+	6.14147i	−0.0442285	+	0.420806i
$214$	−14.5022	+	16.1064i	−0.991352	+	1.10101i
$215$	−11.7863	−	2.50526i	−0.803820	−	0.170857i
$216$	2.58832	+	1.88053i	0.176113	+	0.127954i
$217$	0.998201	−	3.75326i	0.0677623	−	0.254788i
$218$	−6.96069	+	21.4228i	−0.471438	+	1.45094i
$219$	0.766044	−	1.32683i	0.0517645	−	0.0896587i
$220$		0			0
$221$	11.5778	+	20.0534i	0.778810	+	1.34894i
$222$	−3.65537	−	4.05970i	−0.245332	−	0.272469i
$223$	0.179302	−	0.130270i	0.0120069	−	0.00872355i	−0.581766	−	0.813356i	$-0.697638\pi$
$223$	0.179302	−	0.130270i	0.0120069	−	0.00872355i	0.593773	+	0.804633i	$0.297638\pi$
$224$	18.7733	−	1.01889i	1.25434	−	0.0680777i
$225$	−5.94616	−	18.3004i	−0.396410	−	1.22003i
$226$	9.20581	+	1.95676i	0.612361	+	0.130161i
$227$	−1.01389	+	9.64651i	−0.0672942	+	0.640261i	0.907942	+	0.419096i	$0.137653\pi$
$227$	−1.01389	+	9.64651i	−0.0672942	+	0.640261i	−0.975236	+	0.221166i	$0.929014\pi$
$228$	−1.65827	−	0.738311i	−0.109822	−	0.0488959i
$229$	15.8548	+	17.6085i	1.04771	+	1.16360i	0.986210	+	0.165496i	$0.0529226\pi$
$229$	15.8548	+	17.6085i	1.04771	+	1.16360i	0.0615028	+	0.998107i	$0.480411\pi$
$230$	42.0378			2.77189
$231$		0			0
$232$	−1.68954			−0.110924
$233$	−13.9762	−	15.5222i	−0.915612	−	1.01689i	−0.999791	−	0.0204398i	$-0.993493\pi$
$233$	−13.9762	−	15.5222i	−0.915612	−	1.01689i	0.0841788	−	0.996451i	$-0.473173\pi$
$234$	−19.4955	−	8.67996i	−1.27446	−	0.567427i
$235$	1.68149	−	15.9983i	0.109689	−	1.04362i
$236$	−14.2965	−	3.03881i	−0.930621	−	0.197810i
$237$	2.50491	+	7.70933i	0.162712	+	0.500775i
$238$	11.8058	−	23.2772i	0.765258	−	1.50884i
$239$	12.1595	−	8.83443i	0.786536	−	0.571452i	−0.120398	−	0.992726i	$-0.538417\pi$
$239$	12.1595	−	8.83443i	0.786536	−	0.571452i	0.906933	+	0.421274i	$0.138417\pi$
$240$	−7.27635	−	8.08120i	−0.469686	−	0.521639i
$241$	14.7699	+	25.5822i	0.951414	+	1.64790i	0.742369	+	0.669991i	$0.233702\pi$
$241$	14.7699	+	25.5822i	0.951414	+	1.64790i	0.209045	+	0.977906i	$0.432965\pi$
$242$		0			0
$243$	−7.20233	+	12.4748i	−0.462030	+	0.800259i
$244$	0.543490	−	1.67269i	0.0347934	−	0.107083i
$245$	10.1404	+	22.5495i	0.647846	+	1.44063i
$246$	−0.280969	−	0.204136i	−0.0179139	−	0.0130152i
$247$	−7.83275	−	1.66490i	−0.498386	−	0.105935i
$248$	0.863754	−	0.959295i	0.0548484	−	0.0609153i
$249$	−0.773189	+	7.35641i	−0.0489989	+	0.466193i
$250$	1.71780	+	16.3437i	0.108643	+	1.03367i
$251$	1.16519	−	3.58608i	0.0735461	−	0.226352i	−0.907526	−	0.419997i	$-0.862031\pi$
$251$	1.16519	−	3.58608i	0.0735461	−	0.226352i	0.981072	+	0.193645i	$0.0620311\pi$
$252$	1.65136	+	10.3022i	0.104026	+	0.648976i
$253$		0			0
$254$	13.3760	−	23.1679i	0.839284	−	1.45368i
$255$	−11.8366	+	2.51594i	−0.741235	+	0.157554i
$256$	18.9125	+	8.42040i	1.18203	+	0.526275i
$257$	−7.91171	+	3.52252i	−0.493519	+	0.219729i	−0.638377	−	0.769724i	$-0.720394\pi$
$257$	−7.91171	+	3.52252i	−0.493519	+	0.219729i	0.144858	+	0.989452i	$0.453727\pi$
$258$	−1.29317	−	3.97997i	−0.0805094	−	0.247782i
$259$	−0.594754	+	11.7675i	−0.0369562	+	0.731195i
$260$	19.3133	+	14.0319i	1.19776	+	0.870225i
$261$	−0.516926	−	4.91823i	−0.0319969	−	0.304431i
$262$	−9.40080	+	1.99820i	−0.580783	+	0.123449i
$263$	−2.91740	−	5.05309i	−0.179895	−	0.311587i	0.761950	−	0.647636i	$-0.224242\pi$
$263$	−2.91740	−	5.05309i	−0.179895	−	0.311587i	−0.941844	+	0.336049i	$0.890909\pi$
$264$		0			0
$265$	−25.5526			−1.56969
$266$	3.25027	+	8.42038i	0.199287	+	0.516287i
$267$	1.83122	−	1.33046i	0.112069	−	0.0814230i
$268$	−0.972175	+	0.432840i	−0.0593850	+	0.0264399i
$269$	−14.7084	+	16.3353i	−0.896786	+	0.995982i	0.103213	+	0.994659i	$0.467088\pi$
$269$	−14.7084	+	16.3353i	−0.896786	+	0.995982i	−0.999999	+	0.00132242i	$0.999579\pi$
$270$	16.1599	−	17.9474i	0.983462	−	1.09225i
$271$	−9.00029	+	4.00719i	−0.546729	+	0.243419i	−0.661464	−	0.749977i	$-0.730065\pi$
$271$	−9.00029	+	4.00719i	−0.546729	+	0.243419i	0.114735	+	0.993396i	$0.463398\pi$
$272$	20.0303	−	14.5528i	1.21451	−	0.882396i
$273$	−2.74332	−	7.10705i	−0.166034	−	0.430138i
$274$	−37.0378			−2.23753
$275$		0			0
$276$	3.16637	+	5.48432i	0.190593	+	0.330117i
$277$	23.1225	−	4.91484i	1.38930	−	0.295304i	0.548272	−	0.836300i	$-0.315286\pi$
$277$	23.1225	−	4.91484i	1.38930	−	0.295304i	0.841025	+	0.540996i	$0.181952\pi$
$278$	1.03839	+	9.87965i	0.0622787	+	0.592542i
$279$	3.05677	+	2.22087i	0.183004	+	0.132960i
$280$	−0.414821	+	8.20740i	−0.0247903	+	0.490486i
$281$	−5.02810	−	15.4749i	−0.299951	−	0.923154i	−0.981513	−	0.191394i	$-0.938699\pi$
$281$	−5.02810	−	15.4749i	−0.299951	−	0.923154i	0.681562	−	0.731760i	$-0.261301\pi$
$282$	5.10377	−	2.27234i	0.303925	−	0.135316i
$283$	−15.5287	−	6.91381i	−0.923084	−	0.410983i	−0.110532	−	0.993873i	$-0.535255\pi$
$283$	−15.5287	−	6.91381i	−0.923084	−	0.410983i	−0.812552	+	0.582889i	$0.801922\pi$
$284$	−14.1785	+	3.01373i	−0.841339	+	0.178832i
$285$	2.09240	−	3.62414i	0.123943	−	0.214675i
$286$		0			0
$287$	0.118555	+	0.739620i	0.00699810	+	0.0436584i
$288$	−5.65219	+	17.3956i	−0.333058	+	1.02505i
$289$	−1.10295	−	10.4939i	−0.0648795	−	0.617287i
$290$	−1.33313	+	12.6839i	−0.0782839	+	0.744821i
$291$	6.70284	−	7.44426i	0.392927	−	0.436390i
$292$	3.51768	+	0.747706i	0.205857	+	0.0437562i
$293$	−11.1469	−	8.09872i	−0.651211	−	0.473132i	0.212473	−	0.977167i	$-0.431848\pi$
$293$	−11.1469	−	8.09872i	−0.651211	−	0.473132i	−0.863683	+	0.504035i	$0.831848\pi$
$294$	−5.02129	+	6.96558i	−0.292848	+	0.406241i
$295$	10.4125	−	32.0463i	0.606239	−	1.86581i
$296$	−1.95811	+	3.39155i	−0.113813	+	0.197130i
$297$		0			0
$298$	15.9893	+	27.6943i	0.926237	+	1.60429i
$299$	18.6933	+	20.7611i	1.08106	+	1.20064i
$300$	−6.04793	+	4.39408i	−0.349177	+	0.253692i
$301$	−4.08271	+	8.04976i	−0.235323	+	0.463980i
$302$	0.756570	+	2.32848i	0.0435357	+	0.133989i
$303$	4.27904	+	0.909538i	0.245824	+	0.0522516i
$304$	−0.894985	+	8.51521i	−0.0513309	+	0.488381i
$305$	3.70414	+	1.64919i	0.212098	+	0.0944322i
$306$	16.9905	+	18.8698i	0.971281	+	1.07872i
$307$	11.6159			0.662953			0.331476	−	0.943464i	$-0.392453\pi$
$307$	11.6159			0.662953			0.331476	+	0.943464i	$0.392453\pi$
$308$		0			0
$309$	1.46791			0.0835065
$310$	−6.52016	−	7.24137i	−0.370320	−	0.411282i
$311$	3.15019	+	1.40255i	0.178631	+	0.0795316i	0.494103	−	0.869403i	$-0.335496\pi$
$311$	3.15019	+	1.40255i	0.178631	+	0.0795316i	−0.315473	+	0.948935i	$0.602163\pi$
$312$	0.264675	−	2.51822i	0.0149843	−	0.142566i
$313$	18.9975	+	4.03804i	1.07380	+	0.228244i	0.710692	−	0.703503i	$-0.248382\pi$
$313$	18.9975	+	4.03804i	1.07380	+	0.228244i	0.363109	+	0.931747i	$0.381715\pi$
$314$	−7.95330	−	24.4777i	−0.448831	−	1.38136i
$315$	−24.0185	+	1.30358i	−1.35329	+	0.0734481i
$316$	−15.3934	+	11.1840i	−0.865949	+	0.629149i
$317$	−21.9583	−	24.3871i	−1.23330	−	1.36972i	−0.905150	−	0.425093i	$-0.860241\pi$
$317$	−21.9583	−	24.3871i	−1.23330	−	1.36972i	−0.328150	−	0.944625i	$-0.606425\pi$
$318$	−4.43717	−	7.68540i	−0.248824	−	0.430976i
$319$		0			0
$320$	6.92514	−	11.9947i	0.387127	−	0.670524i
$321$	2.32598	−	7.15864i	0.129824	−	0.399556i
$322$	8.09331	−	30.4310i	0.451023	−	1.69585i
$323$	7.70829	+	5.60040i	0.428901	+	0.311615i
$324$	−8.01351	−	1.70332i	−0.445195	−	0.0946291i
$325$	−22.0670	+	24.5079i	−1.22406	+	1.35945i
$326$	3.22268	−	30.6618i	0.178488	−	1.69820i
$327$	−0.817721	−	7.78009i	−0.0452201	−	0.430240i
$328$	−0.0769361	+	0.236785i	−0.00424808	+	0.0130743i
$329$	−11.2574	−	4.29731i	−0.620642	−	0.236918i
$330$		0			0
$331$	3.18004	−	5.50800i	0.174791	−	0.302747i	−0.765298	−	0.643676i	$-0.777408\pi$
$331$	3.18004	−	5.50800i	0.174791	−	0.302747i	0.940089	+	0.340929i	$0.110742\pi$
$332$	−16.9834	+	3.60992i	−0.932083	+	0.198120i
$333$	−10.4718	−	4.66236i	−0.573853	−	0.255496i
$334$	−14.1581	+	6.30358i	−0.774695	+	0.344917i
$335$	−0.758131	−	2.33329i	−0.0414211	−	0.127481i
$336$	−7.25084	+	3.71150i	−0.395566	+	0.202479i
$337$	−12.5761	−	9.13705i	−0.685062	−	0.497727i	0.189971	−	0.981790i	$-0.439161\pi$
$337$	−12.5761	−	9.13705i	−0.685062	−	0.497727i	−0.875033	+	0.484063i	$0.839161\pi$
$338$	1.26928	+	12.0764i	0.0690397	+	0.656869i
$339$	−3.19714	+	0.679574i	−0.173645	+	0.0369094i
$340$	−14.2023	−	24.5992i	−0.770230	−	1.33408i
$341$		0			0
$342$	−8.78106			−0.474825
$343$	18.2758	−	2.99927i	0.986800	−	0.161945i
$344$	−2.42705	+	1.76336i	−0.130858	+	0.0950738i
$345$	−13.3374	+	5.93818i	−0.718060	+	0.319701i
$346$	24.1883	−	26.8639i	1.30037	−	1.44421i
$347$	13.1983	−	14.6583i	0.708524	−	0.786896i	−0.276184	−	0.961105i	$-0.589070\pi$
$347$	13.1983	−	14.6583i	0.708524	−	0.786896i	0.984709	+	0.174209i	$0.0557367\pi$
$348$	−1.75517	+	0.781453i	−0.0940871	+	0.0418903i
$349$	−4.68733	+	3.40554i	−0.250907	+	0.182294i	−0.706129	−	0.708084i	$-0.749560\pi$
$349$	−4.68733	+	3.40554i	−0.250907	+	0.182294i	0.455222	+	0.890378i	$0.349560\pi$
$350$	36.7249	+	5.74663i	1.96303	+	0.307171i
$351$	16.0496			0.856666
$352$		0			0
$353$	−16.5831	−	28.7227i	−0.882627	−	1.52876i	−0.848409	−	0.529341i	$-0.822439\pi$
$353$	−16.5831	−	28.7227i	−0.882627	−	1.52876i	−0.0342183	−	0.999414i	$-0.510894\pi$
$354$	11.4466	−	2.43305i	0.608380	−	0.129315i
$355$	−3.49308	−	33.2344i	−0.185393	−	1.76390i
$356$	4.29843	+	3.12299i	0.227816	+	0.165518i
$357$	−0.457551	+	9.05285i	−0.0242162	+	0.479127i
$358$	0.771075	+	2.37313i	0.0407526	+	0.125424i
$359$	−3.84582	+	1.71227i	−0.202974	+	0.0903700i	−0.505706	−	0.862706i	$-0.668768\pi$
$359$	−3.84582	+	1.71227i	−0.202974	+	0.0903700i	0.302732	+	0.953076i	$0.402101\pi$
$360$	−7.30375	−	3.25184i	−0.384941	−	0.171387i
$361$	15.3618	−	3.26526i	0.808517	−	0.171856i
$362$	16.5881	−	28.7315i	0.871852	−	1.51009i
$363$		0			0
$364$	13.8760	−	11.2794i	0.727299	−	0.591199i
$365$	−2.56202	+	7.88508i	−0.134102	+	0.412724i
$366$	0.147195	+	1.40046i	0.00769398	+	0.0732033i
$367$	2.03191	−	19.3323i	0.106065	−	1.00914i	−0.803988	−	0.594646i	$-0.797292\pi$
$367$	2.03191	−	19.3323i	0.106065	−	1.00914i	0.910052	−	0.414493i	$-0.136041\pi$
$368$	19.9875	−	22.1983i	1.04192	−	1.15717i
$369$	−0.712816	−	0.151514i	−0.0371077	−	0.00788749i
$370$	23.9163	+	17.3762i	1.24335	+	0.903344i
$371$	−4.91951	+	18.4975i	−0.255408	+	0.960341i
$372$	0.453609	−	1.39607i	0.0235186	−	0.0723827i
$373$	6.35710	−	11.0108i	0.329158	−	0.570118i	−0.653187	−	0.757197i	$-0.726568\pi$
$373$	6.35710	−	11.0108i	0.329158	−	0.570118i	0.982345	+	0.187078i	$0.0599018\pi$
$374$		0			0
$375$	−2.85369	−	4.94274i	−0.147364	−	0.255242i
$376$	−2.67990	−	2.97633i	−0.138205	−	0.153493i
$377$	−6.85695	+	4.98186i	−0.353151	+	0.256579i
$378$	−9.88090	−	15.1535i	−0.508219	−	0.779410i
$379$	−7.04901	−	21.6946i	−0.362084	−	1.11438i	−0.951787	−	0.306759i	$-0.900755\pi$
$379$	−7.04901	−	21.6946i	−0.362084	−	1.11438i	0.589704	−	0.807620i	$-0.299245\pi$
$380$	9.60829	+	2.04231i	0.492895	+	0.104768i
$381$	−0.971159	+	9.23996i	−0.0497540	+	0.473378i
$382$	−26.7024	−	11.8887i	−1.36621	−	0.608277i
$383$	5.55285	+	6.16706i	0.283737	+	0.315122i	0.868118	−	0.496357i	$-0.165329\pi$
$383$	5.55285	+	6.16706i	0.283737	+	0.315122i	−0.584381	+	0.811479i	$0.698663\pi$
$384$	−4.46616			−0.227913
$385$		0			0
$386$	−9.80840			−0.499234
$387$	−5.87568	−	6.52560i	−0.298677	−	0.331715i
$388$	21.4806	+	9.56377i	1.09051	+	0.485527i
$389$	−1.19158	+	11.3372i	−0.0604157	+	0.574817i	0.921879	+	0.387477i	$0.126653\pi$
$389$	−1.19158	+	11.3372i	−0.0604157	+	0.574817i	−0.982295	+	0.187340i	$0.940013\pi$
$390$	−18.6961	−	3.97398i	−0.946715	−	0.201231i
$391$	−10.2719	−	31.6135i	−0.519470	−	1.59876i
$392$	5.86145	+	1.88042i	0.296048	+	0.0949754i
$393$	2.70034	−	1.96191i	0.136214	−	0.0989653i
$394$	−5.80808	−	6.45053i	−0.292607	−	0.324973i
$395$	−21.9329	−	37.9889i	−1.10356	−	1.91143i
$396$		0			0
$397$	−3.29086	+	5.69994i	−0.165163	+	0.286072i	−0.936713	−	0.350097i	$-0.886149\pi$
$397$	−3.29086	+	5.69994i	−0.165163	+	0.286072i	0.771550	+	0.636169i	$0.219482\pi$
$398$	3.51340	−	10.8131i	0.176111	−	0.542013i
$399$	−2.22066	−	2.21242i	−0.111172	−	0.110759i
$400$	28.5274	+	20.7263i	1.42637	+	1.03632i
$401$	−4.09829	−	0.871118i	−0.204659	−	0.0435015i	0.104441	−	0.994531i	$-0.466695\pi$
$401$	−4.09829	−	0.871118i	−0.204659	−	0.0435015i	−0.309100	+	0.951029i	$0.600028\pi$
$402$	0.570129	−	0.633192i	0.0284354	−	0.0315808i
$403$	0.676890	−	6.44018i	0.0337183	−	0.320808i
$404$	1.07336	+	10.2123i	0.0534016	+	0.508082i
$405$	5.83644	−	17.9627i	0.290015	−	0.892575i
$406$	8.92514	+	3.40700i	0.442947	+	0.169087i
$407$		0			0
$408$	−1.50640	+	2.60916i	−0.0745777	+	0.129172i
$409$	0.756420	−	0.160782i	0.0374025	−	0.00795016i	−0.189172	−	0.981944i	$-0.560581\pi$
$409$	0.756420	−	0.160782i	0.0374025	−	0.00795016i	0.226575	+	0.973994i	$0.427247\pi$
$410$	1.71690	+	0.764415i	0.0847918	+	0.0377518i
$411$	11.7510	−	5.23189i	0.579635	−	0.258070i
$412$	1.06476	+	3.27698i	0.0524568	+	0.161445i
$413$	−21.1936	−	13.7073i	−1.04287	−	0.674492i
$414$	24.7839	+	18.0066i	1.21806	+	0.884976i
$415$	−4.18409	−	39.8090i	−0.205389	−	1.95415i
$416$	30.6632	−	6.51766i	1.50339	−	0.319555i
$417$	−1.72503	−	2.98784i	−0.0844752	−	0.146315i
$418$		0			0
$419$	13.7547			0.671959			0.335979	−	0.941869i	$-0.390933\pi$
$419$	13.7547			0.671959			0.335979	+	0.941869i	$0.390933\pi$
$420$	3.36519	+	8.71809i	0.164204	+	0.425399i
$421$	4.69692	−	3.41251i	0.228914	−	0.166316i	−0.467416	−	0.884037i	$-0.654815\pi$
$421$	4.69692	−	3.41251i	0.228914	−	0.166316i	0.696330	+	0.717722i	$0.254815\pi$
$422$	14.9278	−	6.64628i	0.726673	−	0.323536i
$423$	7.84413	−	8.71179i	0.381395	−	0.423582i
$424$	−4.25690	+	4.72777i	−0.206734	+	0.229601i
$425$	35.8470	−	15.9601i	1.73884	−	0.774180i
$426$	9.38926	−	6.82170i	0.454911	−	0.330512i
$427$	1.90698	−	2.36390i	0.0922853	−	0.114397i
$428$	17.6682			0.854024
$429$		0			0
$430$	11.3229	+	19.6119i	0.546041	+	0.945771i
$431$	−17.6125	+	3.74366i	−0.848365	+	0.180326i	−0.611527	−	0.791224i	$-0.709444\pi$
$431$	−17.6125	+	3.74366i	−0.848365	+	0.180326i	−0.236838	+	0.971549i	$0.576111\pi$
$432$	−1.79379	−	17.0667i	−0.0863036	−	0.821124i
$433$	−1.89350	−	1.37571i	−0.0909956	−	0.0661122i	0.541357	−	0.840793i	$-0.317911\pi$
$433$	−1.89350	−	1.37571i	−0.0909956	−	0.0661122i	−0.632353	+	0.774681i	$0.717911\pi$
$434$	−6.49730	+	3.32578i	−0.311880	+	0.159643i
$435$	−1.36874	−	4.21253i	−0.0656258	−	0.201976i
$436$	16.7752	−	7.46881i	0.803388	−	0.357691i
$437$	10.5014	+	4.67554i	0.502352	+	0.223661i
$438$	−2.81646	+	0.598658i	−0.134576	+	0.0286050i
$439$	−20.0167	+	34.6699i	−0.955343	+	1.65470i	−0.221762	+	0.975101i	$0.571181\pi$
$439$	−20.0167	+	34.6699i	−0.955343	+	1.65470i	−0.733581	+	0.679602i	$0.762152\pi$
$440$		0			0
$441$	−3.68051	+	17.6379i	−0.175262	+	0.839901i
$442$	13.4479	−	41.3885i	0.639654	−	1.96865i
$443$	−1.98353	−	18.8720i	−0.0942402	−	0.896636i	−0.934862	−	0.355013i	$-0.884477\pi$
$443$	−1.98353	−	18.8720i	−0.0942402	−	0.896636i	0.840621	−	0.541623i	$-0.182190\pi$
$444$	−0.465503	+	4.42897i	−0.0220918	+	0.210189i
$445$	−8.19616	+	9.10276i	−0.388535	+	0.431512i
$446$	−0.407424	−	0.0866007i	−0.0192921	−	0.00410066i
$447$	−8.98500	−	6.52798i	−0.424976	−	0.308763i
$448$	−7.34967	−	7.32237i	−0.347239	−	0.345949i
$449$	−9.74551	+	29.9936i	−0.459919	+	1.41549i	0.405342	+	0.914165i	$0.367152\pi$
$449$	−9.74551	+	29.9936i	−0.459919	+	1.41549i	−0.865262	+	0.501321i	$0.832848\pi$
$450$	−18.0817	+	31.3185i	−0.852380	+	1.47637i
$451$		0			0
$452$	−3.83615	−	6.64441i	−0.180437	−	0.312527i
$453$	−0.568955	−	0.631888i	−0.0267318	−	0.0296887i
$454$	14.7479	−	10.7150i	0.692152	−	0.502878i
$455$	22.5172	+	34.5327i	1.05562	+	1.61892i
$456$	−0.321961	−	0.990895i	−0.0150772	−	0.0464029i
$457$	11.3647	+	2.41563i	0.531616	+	0.112999i	0.465896	−	0.884840i	$-0.345732\pi$
$457$	11.3647	+	2.41563i	0.531616	+	0.112999i	0.0657205	+	0.997838i	$0.479065\pi$
$458$	4.65478	−	44.2873i	0.217504	−	2.06941i
$459$	−17.4456	−	7.76728i	−0.814290	−	0.362545i
$460$	−22.9308	−	25.4672i	−1.06915	−	1.18741i
$461$	12.9786			0.604476			0.302238	−	0.953233i	$-0.402266\pi$
$461$	12.9786			0.604476			0.302238	+	0.953233i	$0.402266\pi$
$462$		0			0
$463$	35.3705			1.64381			0.821904	−	0.569626i	$-0.192912\pi$
$463$	35.3705			1.64381			0.821904	+	0.569626i	$0.192912\pi$
$464$	6.06394	+	6.73469i	0.281512	+	0.312650i
$465$	3.09156	+	1.37645i	0.143368	+	0.0638314i
$466$	−4.10326	+	39.0399i	−0.190080	+	1.80849i
$467$	38.9946	+	8.28856i	1.80446	+	0.383549i	0.982539	−	0.186059i	$-0.0595715\pi$
$467$	38.9946	+	8.28856i	1.80446	+	0.383549i	0.821917	+	0.569608i	$0.192905\pi$
$468$	5.37595	+	16.5455i	0.248503	+	0.764814i
$469$	−1.83502	+	0.0995932i	−0.0847333	+	0.00459879i
$470$	−24.4587	+	17.7703i	−1.12820	+	0.819684i
$471$	5.98103	+	6.64261i	0.275591	+	0.306075i
$472$	−4.19459	−	7.26525i	−0.193072	−	0.334410i
$473$		0			0
$474$	7.61721	−	13.1934i	0.349870	−	0.605993i
$475$	−4.19332	+	12.9057i	−0.192403	+	0.592154i
$476$	−20.5416	+	5.54508i	−0.941521	+	0.254158i
$477$	−15.0649	−	10.9453i	−0.689775	−	0.501151i
$478$	−27.6299	−	5.87293i	−1.26376	−	0.268621i
$479$	20.3282	−	22.5768i	0.928819	−	1.03156i	−0.0706010	−	0.997505i	$-0.522492\pi$
$479$	20.3282	−	22.5768i	0.928819	−	1.03156i	0.999420	−	0.0340534i	$-0.0108416\pi$
$480$	−1.71242	+	16.2926i	−0.0781611	+	0.743654i
$481$	2.05356	+	19.5383i	0.0936341	+	0.890869i
$482$	17.1556	−	52.7995i	0.781417	−	2.40495i
$483$	1.73086	+	10.7981i	0.0787567	+	0.491332i
$484$		0			0
$485$	−27.1040	+	46.9455i	−1.23073	+	2.13169i
$486$	26.4803	−	5.62857i	1.20117	−	0.255317i
$487$	−9.52926	−	4.24270i	−0.431812	−	0.192255i	0.179308	−	0.983793i	$-0.442614\pi$
$487$	−9.52926	−	4.24270i	−0.431812	−	0.192255i	−0.611120	+	0.791538i	$0.709281\pi$
$488$	0.922220	−	0.410599i	0.0417469	−	0.0185869i
$489$	3.30876	+	10.1833i	0.149627	+	0.460506i
$490$	18.7418	−	42.5198i	0.846667	−	1.92085i
$491$	−8.31371	−	6.04026i	−0.375193	−	0.272593i	0.384168	−	0.923263i	$-0.374488\pi$
$491$	−8.31371	−	6.04026i	−0.375193	−	0.272593i	−0.759361	+	0.650670i	$0.774488\pi$
$492$	0.0295940	+	0.281568i	0.00133420	+	0.0126940i
$493$	9.86434	−	2.09673i	0.444267	−	0.0944319i
$494$	7.52481	+	13.0334i	0.338557	+	0.586399i
$495$		0			0
$496$	−6.92396			−0.310895
$497$	−24.7308	−	3.86982i	−1.10933	−	0.173585i
$498$	11.2467	−	8.17120i	0.503976	−	0.366160i
$499$	−33.3613	+	14.8534i	−1.49346	+	0.664930i	−0.981040	−	0.193807i	$-0.937916\pi$
$499$	−33.3613	+	14.8534i	−1.49346	+	0.664930i	−0.512417	+	0.858737i	$0.671250\pi$
$500$	8.96429	−	9.95586i	0.400895	−	0.445239i
$501$	3.60151	−	3.99989i	0.160904	−	0.178702i
$502$	−6.47381	+	2.88233i	−0.288940	+	0.128644i
$503$	−25.3730	+	18.4346i	−1.13133	+	0.821957i	−0.985887	−	0.167410i	$-0.946460\pi$
$503$	−25.3730	+	18.4346i	−1.13133	+	0.821957i	−0.145440	+	0.989367i	$0.546460\pi$
$504$	−3.76015	+	4.66110i	−0.167490	+	0.207622i
$505$	−23.6732			−1.05345
$506$		0			0
$507$	−2.10859	−	3.65219i	−0.0936459	−	0.162199i
$508$	−21.3318	+	4.53422i	−0.946447	+	0.201174i
$509$	1.20882	+	11.5011i	0.0535799	+	0.509779i	0.988094	+	0.153852i	$0.0491680\pi$
$509$	1.20882	+	11.5011i	0.0535799	+	0.509779i	−0.934514	+	0.355926i	$0.884165\pi$
$510$	18.3990	+	13.3677i	0.814723	+	0.591931i
$511$	5.21473	+	3.37271i	0.230686	+	0.149200i
$512$	−7.79420	−	23.9881i	−0.344458	−	1.06013i
$513$	6.03306	−	2.68609i	0.266366	−	0.118594i
$514$	14.8692	+	6.62017i	0.655850	+	0.292003i
$515$	−7.76998	+	1.65156i	−0.342386	+	0.0727764i
$516$	−1.70574	+	2.95442i	−0.0750909	+	0.130061i
$517$		0			0
$518$	17.1830	−	13.9676i	0.754979	−	0.613700i
$519$	−3.87952	+	11.9399i	−0.170292	+	0.524104i
$520$	1.43228	+	13.6273i	0.0628098	+	0.597595i
$521$	3.19443	−	30.3930i	0.139950	−	1.33154i	−0.668824	−	0.743421i	$-0.733202\pi$
$521$	3.19443	−	30.3930i	0.139950	−	1.33154i	0.808775	−	0.588119i	$-0.200131\pi$
$522$	−6.21900	+	6.90690i	−0.272198	+	0.302307i
$523$	−4.35776	−	0.926271i	−0.190552	−	0.0405030i	0.111647	−	0.993748i	$-0.464387\pi$
$523$	−4.35776	−	0.926271i	−0.190552	−	0.0405030i	−0.302199	+	0.953245i	$0.597721\pi$
$524$	6.33849	+	4.60518i	0.276898	+	0.201178i
$525$	−12.4635	+	3.36446i	−0.543952	+	0.146837i
$526$	−3.38863	+	10.4291i	−0.147751	+	0.454732i
$527$	−3.85251	+	6.67274i	−0.167818	+	0.290669i
$528$		0			0
$529$	−8.55185	−	14.8122i	−0.371820	−	0.644010i
$530$	32.1338	+	35.6882i	1.39580	+	1.55020i
$531$	19.8657	−	14.4332i	0.862096	−	0.626350i
$532$	3.32825	−	6.56222i	0.144298	−	0.284508i
$533$	0.385953	+	1.18784i	0.0167175	+	0.0514511i
$534$	−4.16106	−	0.884461i	−0.180067	−	0.0382744i
$535$	−4.25769	+	40.5092i	−0.184076	+	1.75137i
$536$	−0.558007	−	0.248441i	−0.0241022	−	0.0107310i
$537$	−0.579863	−	0.644003i	−0.0250229	−	0.0277908i
$538$	41.3114			1.78106
$539$		0			0
$540$	−19.6878			−0.847227
$541$	11.1548	+	12.3886i	0.479581	+	0.532629i	0.933578	−	0.358374i	$-0.116669\pi$
$541$	11.1548	+	12.3886i	0.479581	+	0.532629i	−0.453997	+	0.891003i	$0.650002\pi$
$542$	16.9150	+	7.53105i	0.726562	+	0.323486i
$543$	−1.20438	+	11.4589i	−0.0516847	+	0.491747i
$544$	−36.4844	−	7.75501i	−1.56426	−	0.332493i
$545$	13.0818	+	40.2617i	0.560364	+	1.72462i
$546$	−6.47622	+	12.7690i	−0.277157	+	0.546462i
$547$	29.2929	−	21.2825i	1.25247	−	0.909976i	0.254111	−	0.967175i	$-0.418217\pi$
$547$	29.2929	−	21.2825i	1.25247	−	0.909976i	0.998363	+	0.0571994i	$0.0182171\pi$
$548$	20.2034	+	22.4381i	0.863045	+	0.958509i
$549$	1.47741	+	2.55894i	0.0630542	+	0.109213i
$550$		0			0
$551$	−1.74376	+	3.02027i	−0.0742865	+	0.128668i
$552$	−1.12323	+	3.45696i	−0.0478080	+	0.147138i
$553$	−31.7227	+	8.56335i	−1.34898	+	0.364151i
$554$	−35.9422	−	26.1135i	−1.52704	−	1.10946i
$555$	−10.0425	−	2.13459i	−0.426279	−	0.0906083i
$556$	5.41884	−	6.01823i	0.229810	−	0.255230i
$557$	−0.0700278	+	0.666270i	−0.00296717	+	0.0282308i	−0.995905	−	0.0904026i	$-0.971185\pi$
$557$	−0.0700278	+	0.666270i	−0.00296717	+	0.0282308i	0.992938	+	0.118633i	$0.0378513\pi$
$558$	−0.742258	−	7.06211i	−0.0314223	−	0.298963i
$559$	−4.65059	+	14.3130i	−0.196699	+	0.605377i
$560$	34.2044	−	27.8038i	1.44540	−	1.17492i
$561$		0			0
$562$	−15.2900	+	26.4830i	−0.644969	+	1.11712i
$563$	−12.7493	+	2.70995i	−0.537320	+	0.114211i	−0.468575	−	0.883423i	$-0.655233\pi$
$563$	−12.7493	+	2.70995i	−0.537320	+	0.114211i	−0.0687443	+	0.997634i	$0.521899\pi$
$564$	−4.16063	−	1.85243i	−0.175194	−	0.0780015i
$565$	16.1586	−	7.19427i	0.679797	−	0.302665i
$566$	9.87193	+	30.3827i	0.414948	+	1.27708i
$567$	−11.8795	−	7.68325i	−0.498892	−	0.322666i
$568$	−6.73099	−	4.89035i	−0.282426	−	0.205194i
$569$	2.86842	+	27.2912i	0.120250	+	1.14411i	0.873654	+	0.486547i	$0.161744\pi$
$569$	2.86842	+	27.2912i	0.120250	+	1.14411i	−0.753404	+	0.657558i	$0.771589\pi$
$570$	−7.69297	+	1.63519i	−0.322223	+	0.0684906i
$571$	8.11974	+	14.0638i	0.339800	+	0.588552i	0.984395	−	0.175973i	$-0.0563071\pi$
$571$	8.11974	+	14.0638i	0.339800	+	0.588552i	−0.644595	+	0.764525i	$0.722974\pi$
$572$		0			0
$573$	10.1513			0.424075
$574$	0.883904	−	1.09569i	0.0368935	−	0.0457333i
$575$	38.3000	−	27.8266i	1.59722	−	1.16045i
$576$	9.22066	−	4.10530i	0.384194	−	0.171054i
$577$	15.8703	−	17.6258i	0.660690	−	0.733770i	−0.315921	−	0.948786i	$-0.602313\pi$
$577$	15.8703	−	17.6258i	0.660690	−	0.733770i	0.976611	+	0.215015i	$0.0689801\pi$
$578$	−13.2693	+	14.7371i	−0.551931	+	0.612981i
$579$	3.11192	−	1.38552i	0.129327	−	0.0575801i
$580$	8.41129	−	6.11116i	0.349260	−	0.253752i
$581$	−29.6232	−	4.63536i	−1.22898	−	0.192307i
$582$	−18.8262			−0.780373
$583$		0			0
$584$	1.03209	+	1.78763i	0.0427081	+	0.0739727i
$585$	−39.2306	+	8.33871i	−1.62198	+	0.344763i
$586$	2.70675	+	25.7530i	0.111815	+	1.06385i
$587$	36.0744	+	26.2096i	1.48895	+	1.08178i	0.974533	+	0.224244i	$0.0719914\pi$
$587$	36.0744	+	26.2096i	1.48895	+	1.08178i	0.514416	+	0.857541i	$0.328009\pi$
$588$	6.95888	−	0.757600i	0.286979	−	0.0312429i
$589$	−0.823395	−	2.53415i	−0.0339274	−	0.104418i
$590$	−57.8520	+	25.7574i	−2.38173	+	1.06041i
$591$	2.75393	+	1.22613i	0.113281	+	0.0504361i
$592$	20.5470	−	4.36739i	0.844475	−	0.179499i
$593$	−21.4217	+	37.1035i	−0.879685	+	1.52366i	−0.0279992	+	0.999608i	$0.508914\pi$
$593$	−21.4217	+	37.1035i	−0.879685	+	1.52366i	−0.851686	+	0.524052i	$0.824420\pi$
$594$		0			0
$595$	−7.76352	−	48.4335i	−0.318273	−	1.98558i
$596$	8.05584	−	24.7933i	0.329980	−	1.01557i
$597$	0.412743	+	3.92698i	0.0168924	+	0.160721i
$598$	5.48815	−	52.2163i	0.224427	−	2.13528i
$599$	−0.423629	+	0.470487i	−0.0173090	+	0.0192236i	−0.751737	−	0.659463i	$-0.770784\pi$
$599$	−0.423629	+	0.470487i	−0.0173090	+	0.0192236i	0.734428	+	0.678686i	$0.237450\pi$
$600$	−4.19709	−	0.892120i	−0.171346	−	0.0364206i
$601$	−2.79792	−	2.03281i	−0.114129	−	0.0829199i	0.529257	−	0.848462i	$-0.322471\pi$
$601$	−2.79792	−	2.03281i	−0.114129	−	0.0829199i	−0.643386	+	0.765542i	$0.722471\pi$
$602$	16.3770	−	4.42087i	0.667475	−	0.180181i
$603$	0.552481	−	1.70036i	0.0224988	−	0.0692441i
$604$	0.997941	−	1.72848i	0.0406056	−	0.0703310i
$605$		0			0
$606$	−4.11081	−	7.12014i	−0.166990	−	0.289236i
$607$	−32.3022	−	35.8752i	−1.31111	−	1.45613i	−0.804500	−	0.593953i	$-0.797567\pi$
$607$	−32.3022	−	35.8752i	−1.31111	−	1.45613i	−0.506606	−	0.862178i	$-0.669100\pi$
$608$	10.4355	−	7.58183i	0.423215	−	0.307484i
$609$	−3.31296	+	0.179806i	−0.134248	+	0.00728612i
$610$	−2.35481	−	7.24735i	−0.0953433	−	0.293436i
$611$	−19.6525	−	4.17726i	−0.795054	−	0.168994i
$612$	2.16370	−	20.5863i	0.0874625	−	0.832150i
$613$	19.4727	+	8.66980i	0.786495	+	0.350170i	0.760371	−	0.649489i	$-0.225017\pi$
$613$	19.4727	+	8.66980i	0.786495	+	0.350170i	0.0261234	+	0.999659i	$0.491684\pi$
$614$	−14.6076	−	16.2234i	−0.589514	−	0.654722i
$615$	−0.652704			−0.0263196
$616$		0			0
$617$	−12.4243			−0.500182			−0.250091	−	0.968222i	$-0.580461\pi$
$617$	−12.4243			−0.500182			−0.250091	+	0.968222i	$0.580461\pi$
$618$	−1.84598	−	2.05017i	−0.0742561	−	0.0824698i
$619$	33.1987	+	14.7810i	1.33437	+	0.594099i	0.945026	−	0.326994i	$-0.106036\pi$
$619$	33.1987	+	14.7810i	1.33437	+	0.594099i	0.389342	+	0.921093i	$0.372703\pi$
$620$	−0.830328	+	7.90005i	−0.0333468	+	0.317274i
$621$	−22.5361	−	4.79019i	−0.904341	−	0.192224i
$622$	−2.00265	−	6.16352i	−0.0802989	−	0.247134i
$623$	5.01150	+	7.68568i	0.200781	+	0.307920i
$624$	−10.9878	+	7.98313i	−0.439866	+	0.319581i
$625$	−4.34459	−	4.82516i	−0.173784	−	0.193006i
$626$	−18.2506	−	31.6110i	−0.729441	−	1.26343i
$627$		0			0
$628$	−10.4907	+	18.1704i	−0.418623	+	0.725077i
$629$	7.22345	−	22.2315i	0.288018	−	0.886428i
$630$	32.0253	+	31.9063i	1.27592	+	1.27118i
$631$	−12.8792	−	9.35726i	−0.512711	−	0.372507i	0.301140	−	0.953580i	$-0.402633\pi$
$631$	−12.8792	−	9.35726i	−0.512711	−	0.372507i	−0.813851	+	0.581073i	$0.802633\pi$
$632$	−10.6826	−	2.27066i	−0.424932	−	0.0903220i
$633$	−3.79731	+	4.21734i	−0.150930	+	0.167624i
$634$	−6.44671	+	61.3363i	−0.256031	+	2.43598i
$635$	−5.25540	−	50.0018i	−0.208554	−	1.98426i
$636$	−2.23556	+	6.88034i	−0.0886457	+	0.272823i
$637$	29.3332	−	9.65177i	1.16222	−	0.382417i
$638$		0			0
$639$	12.1763	−	21.0900i	0.481688	−	0.834309i
$640$	23.6404	−	5.02491i	0.934467	−	0.198627i
$641$	−11.3955	−	5.07359i	−0.450094	−	0.200395i	0.169155	−	0.985589i	$-0.445896\pi$
$641$	−11.3955	−	5.07359i	−0.450094	−	0.200395i	−0.619249	+	0.785195i	$0.712563\pi$
$642$	−12.9232	+	5.75378i	−0.510038	+	0.227084i
$643$	−11.3820	−	35.0303i	−0.448864	−	1.38146i	−0.878190	−	0.478311i	$-0.841249\pi$
$643$	−11.3820	−	35.0303i	−0.448864	−	1.38146i	0.429326	−	0.903149i	$-0.358751\pi$
$644$	−22.8504	+	11.6965i	−0.900431	+	0.460905i
$645$	−6.36279	−	4.62284i	−0.250534	−	0.182024i
$646$	−1.87176	−	17.8086i	−0.0736435	−	0.700671i
$647$	−20.0117	+	4.25361i	−0.786740	+	0.167227i	−0.583728	−	0.811950i	$-0.698406\pi$
$647$	−20.0117	+	4.25361i	−0.786740	+	0.167227i	−0.203012	+	0.979176i	$0.565073\pi$
$648$	−2.35117	−	4.07234i	−0.0923626	−	0.159977i
$649$		0			0
$650$	61.9796			2.43104
$651$	1.59161	−	1.97297i	0.0623801	−	0.0773268i
$652$	−20.3334	+	14.7730i	−0.796316	+	0.578557i
$653$	−14.2142	+	6.32859i	−0.556246	+	0.247657i	−0.665552	−	0.746351i	$-0.731804\pi$
$653$	−14.2142	+	6.32859i	−0.556246	+	0.247657i	0.109306	+	0.994008i	$0.465137\pi$
$654$	−9.83778	+	10.9260i	−0.384688	+	0.427239i
$655$	−12.0861	+	13.4230i	−0.472244	+	0.524480i
$656$	1.21998	−	0.543171i	0.0476323	−	0.0212073i
$657$	−4.88799	+	3.55133i	−0.190699	+	0.138551i
$658$	8.15497	+	21.1268i	0.317914	+	0.823610i
$659$	23.6673			0.921945			0.460973	−	0.887414i	$-0.347501\pi$
$659$	23.6673			0.921945			0.460973	+	0.887414i	$0.347501\pi$
$660$		0			0
$661$	−10.0988	−	17.4916i	−0.392798	−	0.680345i	0.600020	−	0.799985i	$-0.295159\pi$
$661$	−10.0988	−	17.4916i	−0.392798	−	0.680345i	−0.992817	+	0.119640i	$0.961826\pi$
$662$	−11.6919	+	2.48518i	−0.454417	+	0.0965893i
$663$	1.57982	+	15.0310i	0.0613552	+	0.583756i
$664$	−8.06254	−	5.85778i	−0.312887	−	0.227326i
$665$	14.2437	+	9.21232i	0.552346	+	0.357238i
$666$	6.65719	+	20.4887i	0.257961	+	0.793922i
$667$	11.1151	−	4.94874i	0.430377	−	0.191616i
$668$	11.5418	+	5.13873i	0.446564	+	0.198823i
$669$	0.141497	−	0.0300761i	0.00547059	−	0.00116281i
$670$	−2.30541	+	3.99308i	−0.0890657	+	0.154266i
$671$		0			0
$672$	11.4645	+	4.37636i	0.442253	+	0.168822i
$673$	−2.44937	+	7.53838i	−0.0944163	+	0.290583i	−0.987101	−	0.160098i	$-0.948819\pi$
$673$	−2.44937	+	7.53838i	−0.0944163	+	0.290583i	0.892685	+	0.450681i	$0.148819\pi$
$674$	3.05378	+	29.0548i	0.117627	+	1.11915i
$675$	2.84292	−	27.0486i	0.109424	−	1.04110i
$676$	6.62371	−	7.35638i	0.254758	−	0.282938i
$677$	35.2685	+	7.49655i	1.35548	+	0.288116i	0.827655	−	0.561237i	$-0.189675\pi$
$677$	35.2685	+	7.49655i	1.35548	+	0.288116i	0.527824	+	0.849354i	$0.323008\pi$
$678$	4.96971	+	3.61071i	0.190861	+	0.138668i
$679$	28.7655	+	28.6587i	1.10392	+	1.09982i
$680$	5.03811	−	15.5057i	0.193203	−	0.594616i
$681$	−3.16550	+	5.48280i	−0.121302	+	0.210101i
$682$		0			0
$683$	6.17840	+	10.7013i	0.236410	+	0.409474i	0.959681	−	0.281090i	$-0.0906959\pi$
$683$	6.17840	+	10.7013i	0.236410	+	0.409474i	−0.723272	+	0.690564i	$0.757363\pi$
$684$	4.78989	+	5.31972i	0.183146	+	0.203404i
$685$	−56.3142	+	40.9147i	−2.15166	+	1.56327i
$686$	−27.1717	−	21.7532i	−1.03742	−	0.830543i
$687$	4.77912	+	14.7086i	0.182335	+	0.561168i
$688$	15.7399	+	3.34561i	0.600077	+	0.127550i
$689$	−3.33597	+	31.7396i	−0.127090	+	1.20918i
$690$	25.0660	+	11.1601i	0.954248	+	0.424859i
$691$	5.35304	+	5.94516i	0.203639	+	0.226164i	0.836310	−	0.548256i	$-0.184708\pi$
$691$	5.35304	+	5.94516i	0.203639	+	0.226164i	−0.632671	+	0.774421i	$0.718041\pi$
$692$	−29.4688			−1.12024
$693$		0			0
$694$	−37.0702			−1.40716
$695$	12.4926	+	13.8745i	0.473872	+	0.526289i
$696$	−1.00743	−	0.448537i	−0.0381865	−	0.0170017i
$697$	0.155338	−	1.47794i	0.00588384	−	0.0559810i
$698$	10.6509	+	2.26393i	0.403144	+	0.0856908i
$699$	−4.21286	−	12.9659i	−0.159345	−	0.490414i
$700$	−16.5513	−	25.3833i	−0.625581	−	0.959398i
$701$	10.3240	−	7.50081i	0.389931	−	0.283302i	−0.375496	−	0.926824i	$-0.622528\pi$
$701$	10.3240	−	7.50081i	0.389931	−	0.283302i	0.765427	+	0.643522i	$0.222528\pi$
$702$	−20.1833	−	22.4158i	−0.761769	−	0.846030i
$703$	4.04189	+	7.00076i	0.152443	+	0.264039i
$704$		0			0
$705$	5.24985	−	9.09300i	0.197721	−	0.342462i
$706$	−19.2616	+	59.2812i	−0.724921	+	2.23108i
$707$	−4.55769	+	17.1370i	−0.171409	+	0.644503i
$708$	−7.71788	−	5.60737i	−0.290056	−	0.210738i
$709$	−4.60221	−	0.978229i	−0.172839	−	0.0367382i	0.120679	−	0.992692i	$-0.461493\pi$
$709$	−4.60221	−	0.978229i	−0.172839	−	0.0367382i	−0.293518	+	0.955953i	$0.594826\pi$
$710$	−42.0243	+	46.6727i	−1.57714	+	1.75159i
$711$	3.34144	−	31.7917i	0.125314	−	1.19228i
$712$	0.318773	+	3.03292i	0.0119465	+	0.113664i
$713$	−2.87259	+	8.84094i	−0.107580	+	0.331096i
$714$	13.2191	−	10.7454i	0.494712	−	0.402137i
$715$		0			0
$716$	1.01707	−	1.76162i	0.0380098	−	0.0658350i
$717$	9.59578	−	2.03965i	0.358361	−	0.0761720i
$718$	7.22777	+	3.21801i	0.269738	+	0.120095i
$719$	48.0725	−	21.4032i	1.79280	−	0.798206i	0.817969	−	0.575263i	$-0.195100\pi$
$719$	48.0725	−	21.4032i	1.79280	−	0.798206i	0.974831	−	0.222943i	$-0.0715664\pi$
$720$	13.2518	+	40.7847i	0.493864	+	1.51996i
$721$	−0.300354	+	5.94263i	−0.0111858	+	0.221315i
$722$	−23.8788	−	17.3489i	−0.888676	−	0.645661i
$723$	2.01539	+	19.1751i	0.0749531	+	0.713131i
$724$	−26.4545	+	5.62308i	−0.983174	+	0.208980i
$725$	7.18139	+	12.4385i	0.266710	+	0.461955i
$726$		0			0
$727$	−22.3901			−0.830404			−0.415202	−	0.909729i	$-0.636289\pi$
$727$	−22.3901			−0.830404			−0.415202	+	0.909729i	$0.636289\pi$
$728$	10.1405	+	1.58676i	0.375832	+	0.0588093i
$729$	5.37180	−	3.90284i	0.198956	−	0.144550i
$730$	14.2346	−	6.33766i	0.526846	−	0.234567i
$731$	11.9819	−	13.3073i	0.443168	−	0.492188i
$732$	0.768132	−	0.853097i	0.0283910	−	0.0315314i
$733$	27.6035	−	12.2899i	1.01956	−	0.453936i	0.172258	−	0.985052i	$-0.444894\pi$
$733$	27.6035	−	12.2899i	1.01956	−	0.453936i	0.847299	+	0.531116i	$0.178227\pi$
$734$	−29.5558	+	21.4736i	−1.09093	+	0.792604i
$735$	0.0600525	+	16.1377i	0.00221507	+	0.595249i
$736$	−45.0009			−1.65876
$737$		0			0
$738$	0.684793	+	1.18610i	0.0252076	+	0.0436608i
$739$	12.4925	−	2.65536i	0.459543	−	0.0976789i	0.0276776	−	0.999617i	$-0.491189\pi$
$739$	12.4925	−	2.65536i	0.459543	−	0.0976789i	0.431866	+	0.901938i	$0.357855\pi$
$740$	−2.51906	−	23.9672i	−0.0926024	−	0.881053i
$741$	−4.22847	−	3.07217i	−0.155337	−	0.112859i
$742$	32.0211	−	16.3907i	1.17553	−	0.601722i
$743$	11.5878	+	35.6635i	0.425115	+	1.30837i	0.902884	+	0.429884i	$0.141445\pi$
$743$	11.5878	+	35.6635i	0.425115	+	1.30837i	−0.477770	+	0.878485i	$0.658555\pi$
$744$	0.769706	−	0.342695i	0.0282188	−	0.0125638i
$745$	54.9043	+	24.4450i	2.01154	+	0.895594i
$746$	−23.3727	+	4.96802i	−0.855736	+	0.181892i
$747$	14.5851	−	25.2622i	0.533642	−	0.924295i
$748$		0			0
$749$	28.5048	+	10.8812i	1.04154	+	0.397589i
$750$	−3.31463	+	10.2014i	−0.121033	+	0.372502i
$751$	−3.84505	−	36.5832i	−0.140308	−	1.33494i	−0.807418	−	0.589980i	$-0.799136\pi$
$751$	−3.84505	−	36.5832i	−0.140308	−	1.33494i	0.667110	−	0.744959i	$-0.267531\pi$
$752$	−2.24553	+	21.3648i	−0.0818860	+	0.779093i
$753$	1.64680	−	1.82896i	0.0600127	−	0.0666509i
$754$	15.5809	+	3.31183i	0.567424	+	0.120610i
$755$	3.72255	+	2.70459i	0.135477	+	0.0984300i
$756$	−3.79039	+	14.2519i	−0.137855	+	0.518338i
$757$	−0.701858	+	2.16010i	−0.0255094	+	0.0785100i	−0.963001	−	0.269499i	$-0.913142\pi$
$757$	−0.701858	+	2.16010i	−0.0255094	+	0.0785100i	0.937491	+	0.348009i	$0.113142\pi$
$758$	−21.4354	+	37.1272i	−0.778569	+	1.34852i
$759$		0			0
$760$	2.81908	+	4.88279i	0.102259	+	0.177117i
$761$	−6.81896	−	7.57322i	−0.247187	−	0.274529i	0.606764	−	0.794882i	$-0.292467\pi$
$761$	−6.81896	−	7.57322i	−0.247187	−	0.274529i	−0.853951	+	0.520353i	$0.825801\pi$
$762$	14.1263	−	10.2634i	0.511743	−	0.371803i
$763$	31.6639	−	1.71852i	1.14631	−	0.0622145i
$764$	7.36326	+	22.6618i	0.266393	+	0.819874i
$765$	46.6783	+	9.92178i	1.68766	+	0.358723i
$766$	1.63025	−	15.5108i	0.0589035	−	0.560429i
$767$	−38.4463	−	17.1174i	−1.38822	−	0.618073i
$768$	9.04162	+	10.0417i	0.326261	+	0.362350i
$769$	27.7802			1.00178			0.500891	−	0.865511i	$-0.333006\pi$
$769$	27.7802			1.00178			0.500891	+	0.865511i	$0.333006\pi$
$770$		0			0
$771$	−5.65270			−0.203577
$772$	5.35029	+	5.94210i	0.192561	+	0.213861i
$773$	−9.84984	−	4.38543i	−0.354274	−	0.157733i	0.221880	−	0.975074i	$-0.428781\pi$
$773$	−9.84984	−	4.38543i	−0.354274	−	0.157733i	−0.576154	+	0.817341i	$0.695447\pi$
$774$	−1.72503	+	16.4126i	−0.0620050	+	0.589938i
$775$	−10.7338	−	2.28154i	−0.385569	−	0.0819553i
$776$	4.17055	+	12.8356i	0.149714	+	0.460772i
$777$	−3.47865	+	6.85875i	−0.124796	+	0.246056i
$778$	17.3326	−	12.5929i	0.621404	−	0.451476i
$779$	0.343879	+	0.381916i	0.0123207	+	0.0136836i
$780$	7.79086	+	13.4942i	0.278958	+	0.483169i
$781$		0			0
$782$	−31.2358	+	54.1019i	−1.11699	+	1.93468i
$783$	2.16000	−	6.64779i	0.0771920	−	0.237572i
$784$	−13.5419	−	30.1134i	−0.483638	−	1.07548i
$785$	−39.1326	−	28.4315i	−1.39670	−	1.01476i
$786$	−6.13593	−	1.30423i	−0.218861	−	0.0465204i
$787$	14.2841	−	15.8641i	0.509174	−	0.565495i	−0.432667	−	0.901554i	$-0.642427\pi$
$787$	14.2841	−	15.8641i	0.509174	−	0.565495i	0.941841	+	0.336059i	$0.109094\pi$
$788$	−0.739647	+	7.03727i	−0.0263488	+	0.250693i
$789$	−0.398086	−	3.78754i	−0.0141722	−	0.134840i
$790$	−25.4756	+	78.4057i	−0.906380	+	2.78955i
$791$	−2.09698	−	13.0822i	−0.0745601	−	0.465151i
$792$		0			0
$793$	2.53209	−	4.38571i	0.0899171	−	0.155741i
$794$	12.0993	−	2.57178i	0.429387	−	0.0912691i
$795$	−15.2364	−	6.78367i	−0.540379	−	0.240592i
$796$	−8.46726	+	3.76987i	−0.300114	+	0.133619i
$797$	12.1473	+	37.3857i	0.430281	+	1.32427i	0.897846	+	0.440310i	$0.145132\pi$
$797$	12.1473	+	37.3857i	0.430281	+	1.32427i	−0.467565	+	0.883959i	$0.654868\pi$
$798$	−0.297377	+	5.88374i	−0.0105270	+	0.208282i
$799$	19.3402	+	14.0515i	0.684207	+	0.497105i
$800$	−5.55281	−	52.8315i	−0.196322	−	1.86787i
$801$	−8.73127	+	1.85589i	−0.308504	+	0.0655746i
$802$	3.93717	+	6.81937i	0.139026	+	0.240800i
$803$		0			0
$804$	−0.694593			−0.0244964
$805$	−21.3109	−	55.2095i	−0.751110	−	1.94588i
$806$	−9.84593	+	7.15349i	−0.346808	+	0.251971i
$807$	−13.1069	+	5.83557i	−0.461385	+	0.205422i
$808$	−3.94381	+	4.38005i	−0.138743	+	0.154089i
$809$	−2.17240	+	2.41270i	−0.0763776	+	0.0848260i	−0.780122	−	0.625627i	$-0.784843\pi$
$809$	−2.17240	+	2.41270i	−0.0763776	+	0.0848260i	0.703745	+	0.710453i	$0.251510\pi$
$810$	−32.4274	+	14.4376i	−1.13938	+	0.507286i
$811$	27.0257	−	19.6353i	0.949001	−	0.689489i	−0.00156966	−	0.999999i	$-0.500500\pi$
$811$	27.0257	−	19.6353i	0.949001	−	0.689489i	0.950570	+	0.310509i	$0.100500\pi$
$812$	−2.80447	−	7.26546i	−0.0984176	−	0.254968i
$813$	−6.43047			−0.225526
$814$		0			0
$815$	−28.9714	−	50.1799i	−1.01482	−	1.75772i
$816$	15.8070	−	3.35988i	0.553356	−	0.117619i
$817$	0.647296	+	6.15861i	0.0226460	+	0.215462i
$818$	−1.17580	−	0.854265i	−0.0411107	−	0.0298687i
$819$	−1.51648	+	30.0043i	−0.0529903	+	1.04844i
$820$	−0.473442	−	1.45710i	−0.0165333	−	0.0508842i
$821$	22.1056	−	9.84204i	0.771491	−	0.343490i	0.0170470	−	0.999855i	$-0.494573\pi$
$821$	22.1056	−	9.84204i	0.771491	−	0.343490i	0.754444	+	0.656365i	$0.227907\pi$
$822$	−22.0847	−	9.83273i	−0.770292	−	0.342956i
$823$	45.6943	−	9.71262i	1.59280	−	0.338561i	0.675689	−	0.737187i	$-0.263846\pi$
$823$	45.6943	−	9.71262i	1.59280	−	0.338561i	0.917114	+	0.398626i	$0.130513\pi$
$824$	−0.988856	+	1.71275i	−0.0344484	+	0.0596664i
$825$		0			0
$826$	7.50774	+	46.8378i	0.261228	+	1.62970i
$827$	−0.587107	+	1.80693i	−0.0204157	+	0.0628331i	−0.960745	−	0.277432i	$-0.910517\pi$
$827$	−0.587107	+	1.80693i	−0.0204157	+	0.0628331i	0.940330	+	0.340265i	$0.110517\pi$
$828$	−2.61045	−	24.8368i	−0.0907195	−	0.863138i
$829$	−5.32782	+	50.6909i	−0.185043	+	1.76057i	0.370269	+	0.928924i	$0.379265\pi$
$829$	−5.32782	+	50.6909i	−0.185043	+	1.76057i	−0.555312	+	0.831642i	$0.687401\pi$
$830$	−50.3377	+	55.9057i	−1.74725	+	1.94052i
$831$	15.0922	+	3.20794i	0.523541	+	0.111282i
$832$	−13.9949	−	10.1679i	−0.485185	−	0.352507i
$833$	−36.5556	−	3.70466i	−1.26657	−	0.128359i
$834$	−2.00367	+	6.16665i	−0.0693813	+	0.213534i
$835$	−14.5633	+	25.2244i	−0.503984	+	0.872926i
$836$		0			0
$837$	2.67024	+	4.62500i	0.0922972	+	0.159863i
$838$	−17.2972	−	19.2105i	−0.597523	−	0.663616i
$839$	−34.7366	+	25.2376i	−1.19924	+	0.871298i	−0.994210	−	0.107457i	$-0.965729\pi$
$839$	−34.7366	+	25.2376i	−1.19924	+	0.871298i	−0.205030	+	0.978756i	$0.565729\pi$
$840$	−2.42624	+	4.78374i	−0.0837131	+	0.165055i
$841$	−7.82082	−	24.0700i	−0.269683	−	0.830000i
$842$	−10.6727	−	2.26856i	−0.367807	−	0.0781797i
$843$	1.11012	−	10.5621i	0.0382347	−	0.363779i
$844$	−12.1692	−	5.41809i	−0.418882	−	0.186498i
$845$	15.2704	+	16.9595i	0.525316	+	0.583423i
$846$	−22.0318			−0.757468
$847$		0			0
$848$	34.1239			1.17182
$849$	−7.42388	−	8.24506i	−0.254787	−	0.282970i
$850$	−67.3704	−	29.9952i	−2.31079	−	1.02883i
$851$	2.94791	−	28.0475i	0.101053	−	0.961457i
$852$	−9.25436	−	1.96707i	−0.317049	−	0.0673908i
$853$	−16.1789	−	49.7935i	−0.553954	−	1.70490i	−0.698689	−	0.715426i	$-0.746233\pi$
$853$	−16.1789	−	49.7935i	−0.553954	−	1.70490i	0.144734	−	0.989471i	$-0.453767\pi$
$854$	−5.69969	+	0.309343i	−0.195039	+	0.0105855i
$855$	−13.3512	+	9.70022i	−0.456601	+	0.331740i
$856$	6.78575	+	7.53634i	0.231932	+	0.257587i
$857$	−0.489018	−	0.847004i	−0.0167045	−	0.0289331i	0.857552	−	0.514397i	$-0.171984\pi$
$857$	−0.489018	−	0.847004i	−0.0167045	−	0.0289331i	−0.874257	+	0.485464i	$0.838651\pi$
$858$		0			0
$859$	17.0073	−	29.4576i	0.580283	−	1.00508i	−0.415163	−	0.909747i	$-0.636275\pi$
$859$	17.0073	−	29.4576i	0.580283	−	1.00508i	0.995446	−	0.0953319i	$-0.0303912\pi$
$860$	5.70479	−	17.5576i	0.194532	−	0.598708i
$861$	−0.125662	+	0.472490i	−0.00428254	+	0.0161024i
$862$	27.3773	+	19.8908i	0.932474	+	0.677482i
$863$	22.1996	+	4.71867i	0.755682	+	0.160625i	0.569615	−	0.821912i	$-0.307092\pi$
$863$	22.1996	+	4.71867i	0.755682	+	0.160625i	0.186067	+	0.982537i	$0.440426\pi$
$864$	−17.2990	+	19.2125i	−0.588525	+	0.653623i
$865$	7.10142	−	67.5655i	0.241456	−	2.29730i
$866$	0.459787	+	4.37458i	0.0156242	+	0.148654i
$867$	2.12824	−	6.55005i	0.0722788	−	0.222451i
$868$	5.55896	+	2.12203i	0.188684	+	0.0720263i
$869$		0			0
$870$	−4.16220	+	7.20914i	−0.141112	+	0.244413i
$871$	−2.99722	+	0.637078i	−0.101557	+	0.0215866i
$872$	9.62861	+	4.28693i	0.326066	+	0.145174i
$873$	−36.0883	+	16.0676i	−1.22141	+	0.543805i
$874$	−6.67601	−	20.5466i	−0.225819	−	0.695000i
$875$	20.5939	−	10.5414i	0.696201	−	0.356365i
$876$	1.89900	+	1.37971i	0.0641614	+	0.0466160i
$877$	−0.128407	−	1.22171i	−0.00433598	−	0.0412541i	0.992140	−	0.125133i	$-0.0399358\pi$
$877$	−0.128407	−	1.22171i	−0.00433598	−	0.0412541i	−0.996476	+	0.0838789i	$0.973269\pi$
$878$	73.5939	−	15.6429i	2.48367	−	0.527921i
$879$	−4.49660	−	7.78833i	−0.151666	−	0.262694i
$880$		0			0
$881$	9.13516			0.307771			0.153886	−	0.988089i	$-0.450821\pi$
$881$	9.13516			0.307771			0.153886	+	0.988089i	$0.450821\pi$
$882$	29.2626	−	17.0402i	0.985321	−	0.573775i
$883$	−36.2647	+	26.3478i	−1.22040	+	0.886676i	−0.996134	−	0.0878512i	$-0.972000\pi$
$883$	−36.2647	+	26.3478i	−1.22040	+	0.886676i	−0.224271	+	0.974527i	$0.572000\pi$
$884$	−32.4095	+	14.4296i	−1.09005	+	0.485321i
$885$	14.7163	−	16.3441i	0.494684	−	0.549402i
$886$	−23.8633	+	26.5029i	−0.801703	+	0.890381i
$887$	21.0278	−	9.36220i	0.706046	−	0.314352i	−0.0221175	−	0.999755i	$-0.507041\pi$
$887$	21.0278	−	9.36220i	0.706046	−	0.314352i	0.728164	+	0.685403i	$0.240374\pi$
$888$	−2.06795	+	1.50246i	−0.0693960	+	0.0504192i
$889$	−37.2080	−	5.82222i	−1.24792	−	0.195271i
$890$	23.0205			0.771650
$891$		0			0
$892$	0.169778	+	0.294064i	0.00568458	+	0.00984598i
$893$	−8.08648	+	1.71884i	−0.270604	+	0.0575186i
$894$	2.18178	+	20.7582i	0.0729696	+	0.694259i
$895$	3.79392	+	2.75644i	0.126817	+	0.0921377i
$896$	0.913834	−	18.0806i	0.0305291	−	0.604031i
$897$	5.63475	+	17.3420i	0.188139	+	0.579031i
$898$	54.1462	−	24.1075i	1.80688	−	0.804476i
$899$	−2.57644	−	1.14710i	−0.0859289	−	0.0382580i
$900$	28.8365	−	6.12938i	0.961216	−	0.204313i
$901$	18.9866	−	32.8858i	0.632536	−	1.09559i
$902$		0			0
$903$	−4.57145	+	3.71599i	−0.152128	+	0.123661i
$904$	1.36083	−	4.18820i	0.0452605	−	0.139297i
$905$	−6.51745	−	62.0094i	−0.216647	−	2.06126i
$906$	−0.167039	+	1.58927i	−0.00554949	+	0.0527999i
$907$	−18.9504	+	21.0465i	−0.629237	+	0.698838i	−0.970492	−	0.241132i	$-0.922481\pi$
$907$	−18.9504	+	21.0465i	−0.629237	+	0.698838i	0.341255	+	0.939971i	$0.389148\pi$
$908$	−14.5360	−	3.08972i	−0.482393	−	0.102536i
$909$	−13.9569	−	10.1403i	−0.462921	−	0.336332i
$910$	19.9136	−	74.8755i	0.660129	−	2.48210i
$911$	0.919621	−	2.83030i	0.0304684	−	0.0937721i	−0.934666	−	0.355527i	$-0.884301\pi$
$911$	0.919621	−	2.83030i	0.0304684	−	0.0937721i	0.965134	+	0.261755i	$0.0843013\pi$
$912$	−2.79426	+	4.83981i	−0.0925273	+	0.160262i
$913$		0			0
$914$	−10.9179	−	18.9103i	−0.361131	−	0.625497i
$915$	1.77086	+	1.96674i	0.0585428	+	0.0650183i
$916$	−29.3691	+	21.3379i	−0.970383	+	0.705024i
$917$	7.38999	+	11.3334i	0.244039	+	0.374261i
$918$	11.0906	+	34.1332i	0.366043	+	1.12656i
$919$	21.3176	+	4.53120i	0.703203	+	0.149470i	0.545617	−	0.838035i	$-0.316295\pi$
$919$	21.3176	+	4.53120i	0.703203	+	0.149470i	0.157586	+	0.987505i	$0.449629\pi$
$920$	2.05607	−	19.5622i	0.0677866	−	0.644946i
$921$	6.92624	+	3.08376i	0.228228	+	0.101613i
$922$	−16.3213	−	18.1267i	−0.537515	−	0.596971i
$923$	−41.7374			−1.37380
$924$		0			0
$925$	33.2918			1.09463
$926$	−44.4803	−	49.4004i	−1.46171	−	1.62340i
$927$	−5.28833	−	2.35452i	−0.173692	−	0.0773325i
$928$	1.42710	−	13.5779i	0.0468467	−	0.445717i
$929$	−36.2551	−	7.70627i	−1.18949	−	0.252835i	−0.429683	−	0.902980i	$-0.641375\pi$
$929$	−36.2551	−	7.70627i	−1.18949	−	0.252835i	−0.759810	+	0.650145i	$0.774708\pi$
$930$	−1.96538	−	6.04880i	−0.0644472	−	0.198348i
$931$	9.41103	−	8.53736i	0.308434	−	0.279801i
$932$	25.8893	−	18.8097i	0.848032	−	0.616131i
$933$	1.50603	+	1.67261i	0.0493052	+	0.0547589i
$934$	−37.4616	−	64.8853i	−1.22578	−	2.12311i
$935$		0			0
$936$	−4.99273	+	8.64766i	−0.163192	+	0.282657i
$937$	−12.3094	+	37.8844i	−0.402130	+	1.23763i	0.521138	+	0.853472i	$0.325508\pi$
$937$	−12.3094	+	37.8844i	−0.402130	+	1.23763i	−0.923268	+	0.384156i	$0.874492\pi$
$938$	2.44673	+	2.43765i	0.0798887	+	0.0795919i
$939$	10.2557	+	7.45120i	0.334682	+	0.243161i
$940$	24.1073	+	5.12417i	0.786294	+	0.167132i
$941$	−9.16167	+	10.1751i	−0.298662	+	0.331698i	−0.873733	−	0.486406i	$-0.838308\pi$
$941$	−9.16167	+	10.1751i	−0.298662	+	0.331698i	0.575071	+	0.818103i	$0.304974\pi$
$942$	1.75596	−	16.7069i	0.0572124	−	0.544340i
$943$	−0.187411	−	1.78310i	−0.00610294	−	0.0580656i
$944$	−13.9052	+	42.7959i	−0.452576	+	1.39289i
$945$	−31.7631	−	12.1250i	−1.03325	−	0.394425i
$946$		0			0
$947$	23.5667	−	40.8187i	0.765815	−	1.32643i	−0.174000	−	0.984746i	$-0.555669\pi$
$947$	23.5667	−	40.8187i	0.765815	−	1.32643i	0.939815	−	0.341685i	$-0.110998\pi$
$948$	−12.1478	+	2.58210i	−0.394543	+	0.0838627i
$949$	9.45980	+	4.21177i	0.307078	+	0.136720i
$950$	23.2981	−	10.3730i	0.755892	−	0.336545i
$951$	−6.61890	−	20.3709i	−0.214633	−	0.660571i
$952$	−10.2546	−	6.63230i	−0.332352	−	0.214954i
$953$	−21.7617	−	15.8108i	−0.704932	−	0.512163i	0.176603	−	0.984282i	$-0.443489\pi$
$953$	−21.7617	−	15.8108i	−0.704932	−	0.512163i	−0.881535	+	0.472119i	$0.843489\pi$
$954$	3.65813	+	34.8048i	0.118436	+	1.12685i
$955$	−53.7328	+	11.4213i	−1.73875	+	0.369583i
$956$	11.5137	+	19.9423i	0.372379	+	0.644979i
$957$		0			0
$958$	−57.0958			−1.84468
$959$	18.7761	+	48.6428i	0.606313	+	1.57076i
$960$	7.31362	−	5.31366i	0.236046	−	0.171498i
$961$	−26.3514	+	11.7324i	−0.850046	+	0.378465i
$962$	24.7058	−	27.4385i	0.796546	−	0.884654i
$963$	−19.8620	+	22.0590i	−0.640045	+	0.710842i
$964$	−41.3449	+	18.4079i	−1.33163	+	0.592880i
$965$	−14.9132	+	10.8351i	−0.480074	+	0.348794i
$966$	12.9046	−	15.9966i	0.415199	−	0.514683i
$967$	39.4270			1.26789			0.633943	−	0.773380i	$-0.281435\pi$
$967$	39.4270			1.26789			0.633943	+	0.773380i	$0.281435\pi$
$968$		0			0
$969$	3.10947	+	5.38576i	0.0998906	+	0.173016i
$970$	99.6515	−	21.1816i	3.19962	−	0.680099i
$971$	−1.68097	−	15.9933i	−0.0539447	−	0.513250i	−0.987814	−	0.155636i	$-0.950257\pi$
$971$	−1.68097	−	15.9933i	−0.0539447	−	0.513250i	0.933870	−	0.357614i	$-0.116409\pi$
$972$	−17.8544	−	12.9720i	−0.572680	−	0.416076i
$973$	12.4488	−	6.37220i	0.399091	−	0.204283i
$974$	6.05797	+	18.6445i	0.194110	+	0.597409i
$975$	−19.6643	+	8.75512i	−0.629762	+	0.280388i
$976$	−4.94664	−	2.20239i	−0.158338	−	0.0704967i
$977$	−26.8285	+	5.70258i	−0.858321	+	0.182442i	−0.615992	−	0.787753i	$-0.711245\pi$
$977$	−26.8285	+	5.70258i	−0.858321	+	0.182442i	−0.242329	+	0.970194i	$0.577911\pi$
$978$	10.0617	−	17.4273i	0.321736	−	0.557263i
$979$		0			0
$980$	−35.9825	+	11.8396i	−1.14942	+	0.378204i
$981$	−9.53326	+	29.3404i	−0.304374	+	0.936766i
$982$	2.01877	+	19.2073i	0.0644217	+	0.612931i
$983$	0.780426	−	7.42526i	0.0248917	−	0.236829i	−0.975001	−	0.222199i	$-0.928676\pi$
$983$	0.780426	−	7.42526i	0.0248917	−	0.236829i	0.999893	−	0.0146296i	$-0.00465690\pi$
$984$	−0.108736	+	0.120764i	−0.00346639	+	0.00384981i
$985$	−15.9567	−	3.39169i	−0.508422	−	0.108068i
$986$	−15.3333	−	11.1403i	−0.488313	−	0.354780i
$987$	−5.57167	−	5.55098i	−0.177348	−	0.176690i
$988$	3.79120	−	11.6681i	0.120614	−	0.371212i
$989$	10.8020	−	18.7096i	0.343484	−	0.594931i
$990$		0			0
$991$	12.1352	+	21.0188i	0.385488	+	0.667685i	0.991837	−	0.127514i	$-0.0406998\pi$
$991$	12.1352	+	21.0188i	0.385488	+	0.667685i	−0.606349	+	0.795199i	$0.707366\pi$
$992$	6.97975	+	7.75180i	0.221607	+	0.246120i
$993$	3.35843	−	2.44005i	0.106577	−	0.0774325i
$994$	25.6955	+	39.4069i	0.815012	+	1.24991i
$995$	−6.60302	−	20.3220i	−0.209330	−	0.644251i
$996$	−11.0851	−	2.35621i	−0.351245	−	0.0746594i
$997$	−3.46158	+	32.9348i	−0.109629	+	1.04305i	0.791993	+	0.610530i	$0.209044\pi$
$997$	−3.46158	+	32.9348i	−0.109629	+	1.04305i	−0.901622	+	0.432524i	$0.857623\pi$
$998$	62.6987	+	27.9153i	1.98469	+	0.883642i
$999$	−10.8413	−	12.0405i	−0.343003	−	0.380943i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	847.2.n.f.9.1		24
7.4	even	3	inner	847.2.n.f.130.3		24
11.2	odd	10		847.2.n.g.366.1		24
11.3	even	5	inner	847.2.n.f.807.1		24
11.4	even	5		847.2.e.c.485.3		6
11.5	even	5	inner	847.2.n.f.632.3		24
11.6	odd	10		847.2.n.g.632.1		24
11.7	odd	10		77.2.e.a.23.1	✓	6
11.8	odd	10		847.2.n.g.807.3		24
11.9	even	5	inner	847.2.n.f.366.3		24
11.10	odd	2		847.2.n.g.9.3		24
33.29	even	10		693.2.i.h.100.3		6
44.7	even	10		1232.2.q.m.177.2		6
77.4	even	15		847.2.e.c.606.3		6
77.18	odd	30		77.2.e.a.67.1	yes	6
77.25	even	15	inner	847.2.n.f.81.3		24
77.26	odd	30		5929.2.a.u.1.1		3
77.32	odd	6		847.2.n.g.130.1		24
77.37	even	15		5929.2.a.x.1.1		3
77.39	odd	30		847.2.n.g.753.3		24
77.40	even	30		539.2.a.g.1.3		3
77.46	odd	30		847.2.n.g.487.3		24
77.51	odd	30		539.2.a.j.1.3		3
77.53	even	15	inner	847.2.n.f.487.1		24
77.60	even	15	inner	847.2.n.f.753.1		24
77.62	even	10		539.2.e.m.177.1		6
77.73	even	30		539.2.e.m.67.1		6
77.74	odd	30		847.2.n.g.81.1		24
231.95	even	30		693.2.i.h.298.3		6
231.128	even	30		4851.2.a.bj.1.1		3
231.194	odd	30		4851.2.a.bk.1.1		3
308.51	even	30		8624.2.a.ch.1.2		3
308.95	even	30		1232.2.q.m.529.2		6
308.271	odd	30		8624.2.a.co.1.2		3

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
77.2.e.a.23.1	✓	6	11.7	odd	10
77.2.e.a.67.1	yes	6	77.18	odd	30
539.2.a.g.1.3		3	77.40	even	30
539.2.a.j.1.3		3	77.51	odd	30
539.2.e.m.67.1		6	77.73	even	30
539.2.e.m.177.1		6	77.62	even	10
693.2.i.h.100.3		6	33.29	even	10
693.2.i.h.298.3		6	231.95	even	30
847.2.e.c.485.3		6	11.4	even	5
847.2.e.c.606.3		6	77.4	even	15
847.2.n.f.9.1		24	1.1	even	1	trivial
847.2.n.f.81.3		24	77.25	even	15	inner
847.2.n.f.130.3		24	7.4	even	3	inner
847.2.n.f.366.3		24	11.9	even	5	inner
847.2.n.f.487.1		24	77.53	even	15	inner
847.2.n.f.632.3		24	11.5	even	5	inner
847.2.n.f.753.1		24	77.60	even	15	inner
847.2.n.f.807.1		24	11.3	even	5	inner
847.2.n.g.9.3		24	11.10	odd	2
847.2.n.g.81.1		24	77.74	odd	30
847.2.n.g.130.1		24	77.32	odd	6
847.2.n.g.366.1		24	11.2	odd	10
847.2.n.g.487.3		24	77.46	odd	30
847.2.n.g.632.1		24	11.6	odd	10
847.2.n.g.753.3		24	77.39	odd	30
847.2.n.g.807.3		24	11.8	odd	10
1232.2.q.m.177.2		6	44.7	even	10
1232.2.q.m.529.2		6	308.95	even	30
4851.2.a.bj.1.1		3	231.128	even	30
4851.2.a.bk.1.1		3	231.194	odd	30
5929.2.a.u.1.1		3	77.26	odd	30
5929.2.a.x.1.1		3	77.37	even	15
8624.2.a.ch.1.2		3	308.51	even	30
8624.2.a.co.1.2		3	308.271	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 $\F_{q}$

Level:	\( N \)	\(=\)	\( 847 = 7 \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	847.n (of order \(15\), degree \(8\), not minimal)

\(f(q)\)	\(=\)	\(q+(-1.25755 - 1.39666i) q^{2} +(0.596274 + 0.265478i) q^{3} +(-0.160147 + 1.52370i) q^{4} +(-3.45490 - 0.734363i) q^{5} +(-0.379065 - 1.16664i) q^{6} +(-1.19676 + 2.35961i) q^{7} +(-0.711438 + 0.516890i) q^{8} +(-1.72233 - 1.91284i) q^{9} +O(q^{10})\)	\(q+(-1.25755 - 1.39666i) q^{2} +(0.596274 + 0.265478i) q^{3} +(-0.160147 + 1.52370i) q^{4} +(-3.45490 - 0.734363i) q^{5} +(-0.379065 - 1.16664i) q^{6} +(-1.19676 + 2.35961i) q^{7} +(-0.711438 + 0.516890i) q^{8} +(-1.72233 - 1.91284i) q^{9} +(3.31908 + 5.74881i) q^{10} +(-0.500000 + 0.866025i) q^{12} +(-1.36322 + 4.19556i) q^{13} +(4.80055 - 1.29588i) q^{14} +(-1.86511 - 1.35508i) q^{15} +(4.61381 + 0.980695i) q^{16} +(3.51225 - 3.90075i) q^{17} +(-0.505656 + 4.81100i) q^{18} +(0.189741 + 1.80526i) q^{19} +(1.67224 - 5.14662i) q^{20} +(-1.34002 + 1.08926i) q^{21} +(3.16637 - 5.48432i) q^{23} +(-0.561435 + 0.119337i) q^{24} +(6.82935 + 3.04062i) q^{25} +(7.57408 - 3.37220i) q^{26} +(-1.12425 - 3.46009i) q^{27} +(-3.40367 - 2.20138i) q^{28} +(1.55434 + 1.12930i) q^{29} +(0.452896 + 4.30901i) q^{30} +(-1.43583 + 0.305196i) q^{31} +(-3.55303 - 6.15403i) q^{32} -9.86484 q^{34} +(5.86749 - 7.27338i) q^{35} +(3.19041 - 2.31797i) q^{36} +(4.06835 - 1.81135i) q^{37} +(2.28272 - 2.53522i) q^{38} +(-1.92668 + 2.13980i) q^{39} +(2.83753 - 1.26335i) q^{40} +(0.229048 - 0.166413i) q^{41} +(3.20648 + 0.501742i) q^{42} +3.41147 q^{43} +(4.54576 + 7.87349i) q^{45} +(-11.6416 + 2.47450i) q^{46} +(0.476062 + 4.52943i) q^{47} +(2.49074 + 1.80963i) q^{48} +(-4.13554 - 5.64777i) q^{49} +(-4.34157 - 13.3620i) q^{50} +(3.12983 - 1.39349i) q^{51} +(-6.17444 - 2.74904i) q^{52} +(7.07633 - 1.50412i) q^{53} +(-3.41875 + 5.92145i) q^{54} +(-0.368241 - 2.29731i) q^{56} +(-0.366121 + 1.12680i) q^{57} +(-0.377433 - 3.59103i) q^{58} +(-0.997184 + 9.48757i) q^{59} +(2.36343 - 2.62485i) q^{60} +(-1.12287 - 0.238673i) q^{61} +(2.23189 + 1.62156i) q^{62} +(6.57477 - 1.77482i) q^{63} +(-1.21174 + 3.72935i) q^{64} +(7.79086 - 13.4942i) q^{65} +(0.347296 + 0.601535i) q^{67} +(5.38107 + 5.97629i) q^{68} +(3.34400 - 2.42956i) q^{69} +(-17.5371 + 0.951803i) q^{70} +(2.92364 + 8.99804i) q^{71} +(2.21405 + 0.470612i) q^{72} +(0.245359 - 2.33444i) q^{73} +(-7.64600 - 3.40422i) q^{74} +(3.26495 + 3.62609i) q^{75} -2.78106 q^{76} +5.41147 q^{78} +(8.31008 + 9.22928i) q^{79} +(-15.2201 - 6.77641i) q^{80} +(-0.558945 + 5.31800i) q^{81} +(-0.520461 - 0.110628i) q^{82} +(3.50201 + 10.7781i) q^{83} +(-1.44511 - 2.21623i) q^{84} +(-14.9990 + 10.8974i) q^{85} +(-4.29011 - 4.76465i) q^{86} +(0.627011 + 1.08602i) q^{87} +(1.73396 - 3.00330i) q^{89} +(5.28001 - 16.2502i) q^{90} +(-8.26845 - 8.23774i) q^{91} +(7.84935 + 5.70289i) q^{92} +(-0.937174 - 0.199202i) q^{93} +(5.72738 - 6.36090i) q^{94} +(0.670182 - 6.37635i) q^{95} +(-0.484819 - 4.61275i) q^{96} +(4.74258 - 14.5961i) q^{97} +(-2.68732 + 12.8783i) q^{98} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q + 3 q^{3} + 6 q^{5} - 6 q^{6} + 6 q^{8}+O(q^{10}) \) 24 * q + 3 * q^3 + 6 * q^5 - 6 * q^6 + 6 * q^8	\( 24 q + 3 q^{3} + 6 q^{5} - 6 q^{6} + 6 q^{8} + 12 q^{10} - 12 q^{12} + 6 q^{13} + 12 q^{14} - 18 q^{15} - 6 q^{16} + 3 q^{17} + 12 q^{18} - 9 q^{19} - 12 q^{20} + 48 q^{21} - 6 q^{24} + 3 q^{25} + 9 q^{26} - 12 q^{27} + 3 q^{28} - 6 q^{29} + 6 q^{30} + 9 q^{31} - 36 q^{32} - 48 q^{34} - 15 q^{35} - 6 q^{36} - 3 q^{39} - 3 q^{40} + 18 q^{41} + 18 q^{42} - 12 q^{45} + 24 q^{46} - 3 q^{47} + 36 q^{48} + 30 q^{50} + 18 q^{51} - 9 q^{52} + 9 q^{53} - 72 q^{54} + 12 q^{56} + 15 q^{58} + 6 q^{60} - 12 q^{61} - 6 q^{62} + 6 q^{63} + 6 q^{64} + 60 q^{65} + 21 q^{68} - 42 q^{69} - 45 q^{70} + 18 q^{71} - 12 q^{72} - 6 q^{73} - 18 q^{74} + 9 q^{75} + 72 q^{76} + 48 q^{78} + 3 q^{79} - 27 q^{80} + 15 q^{81} - 3 q^{82} - 30 q^{83} - 54 q^{85} - 9 q^{86} - 96 q^{87} + 60 q^{89} - 72 q^{90} - 9 q^{91} + 6 q^{92} + 6 q^{93} - 9 q^{95} - 3 q^{96} - 90 q^{97} + 24 q^{98}+O(q^{100}) \) 24 * q + 3 * q^3 + 6 * q^5 - 6 * q^6 + 6 * q^8 + 12 * q^10 - 12 * q^12 + 6 * q^13 + 12 * q^14 - 18 * q^15 - 6 * q^16 + 3 * q^17 + 12 * q^18 - 9 * q^19 - 12 * q^20 + 48 * q^21 - 6 * q^24 + 3 * q^25 + 9 * q^26 - 12 * q^27 + 3 * q^28 - 6 * q^29 + 6 * q^30 + 9 * q^31 - 36 * q^32 - 48 * q^34 - 15 * q^35 - 6 * q^36 - 3 * q^39 - 3 * q^40 + 18 * q^41 + 18 * q^42 - 12 * q^45 + 24 * q^46 - 3 * q^47 + 36 * q^48 + 30 * q^50 + 18 * q^51 - 9 * q^52 + 9 * q^53 - 72 * q^54 + 12 * q^56 + 15 * q^58 + 6 * q^60 - 12 * q^61 - 6 * q^62 + 6 * q^63 + 6 * q^64 + 60 * q^65 + 21 * q^68 - 42 * q^69 - 45 * q^70 + 18 * q^71 - 12 * q^72 - 6 * q^73 - 18 * q^74 + 9 * q^75 + 72 * q^76 + 48 * q^78 + 3 * q^79 - 27 * q^80 + 15 * q^81 - 3 * q^82 - 30 * q^83 - 54 * q^85 - 9 * q^86 - 96 * q^87 + 60 * q^89 - 72 * q^90 - 9 * q^91 + 6 * q^92 + 6 * q^93 - 9 * q^95 - 3 * q^96 - 90 * q^97 + 24 * q^98

Introduction

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