LMFDB - Embedded newform 966.2.r.a.113.19

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(113,966)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

chi = DirichletCharacter(H, H._module([11, 0, 13]))

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

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

chi := DirichletCharacter("966.113");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.r (of order $22$, degree $10$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$24$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			113.19
Character	$\chi$	$=$	966.113
Dual form			966.2.r.a.701.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.540641 - 0.841254i) q^{2} +(0.367161 - 1.69269i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(-2.84093 - 0.834172i) q^{5} +(-1.22548 - 1.22401i) q^{6} +(0.755750 + 0.654861i) q^{7} +(-0.989821 - 0.142315i) q^{8} +(-2.73039 - 1.24298i) q^{9} +O(q^{10})$	\(q+(0.540641 - 0.841254i) q^{2} +(0.367161 - 1.69269i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(-2.84093 - 0.834172i) q^{5} +(-1.22548 - 1.22401i) q^{6} +(0.755750 + 0.654861i) q^{7} +(-0.989821 - 0.142315i) q^{8} +(-2.73039 - 1.24298i) q^{9} +(-2.23767 + 1.93895i) q^{10} +(5.52438 - 3.55030i) q^{11} +(-1.69225 + 0.369187i) q^{12} +(-3.40347 - 3.92781i) q^{13} +(0.959493 - 0.281733i) q^{14} +(-2.45507 + 4.50253i) q^{15} +(-0.654861 + 0.755750i) q^{16} +(0.524915 - 1.14940i) q^{17} +(-2.52182 + 1.62494i) q^{18} +(-6.32008 + 2.88629i) q^{19} +(0.421375 + 2.93073i) q^{20} +(1.38596 - 1.03881i) q^{21} -6.56685i q^{22} +(0.558138 + 4.76324i) q^{23} +(-0.604318 + 1.62321i) q^{24} +(3.16877 + 2.03644i) q^{25} +(-5.14434 + 0.739645i) q^{26} +(-3.10646 + 4.16532i) q^{27} +(0.281733 - 0.959493i) q^{28} +(2.97392 + 1.35815i) q^{29} +(2.46046 + 4.49959i) q^{30} +(-0.644218 + 4.48063i) q^{31} +(0.281733 + 0.959493i) q^{32} +(-3.98122 - 10.6546i) q^{33} +(-0.683149 - 1.06300i) q^{34} +(-1.60076 - 2.49084i) q^{35} +(0.00359208 + 3.00000i) q^{36} +(-1.69530 - 5.77365i) q^{37} +(-0.988797 + 6.87724i) q^{38} +(-7.89819 + 4.31888i) q^{39} +(2.69330 + 1.22999i) q^{40} +(-1.01626 + 3.46105i) q^{41} +(-0.124597 - 1.72756i) q^{42} +(-7.58804 + 1.09100i) q^{43} +(-5.52438 - 3.55030i) q^{44} +(6.71998 + 5.80882i) q^{45} +(4.30885 + 2.10567i) q^{46} -2.13171i q^{47} +(1.03881 + 1.38596i) q^{48} +(0.142315 + 0.989821i) q^{49} +(3.42633 - 1.56475i) q^{50} +(-1.75285 - 1.31053i) q^{51} +(-2.15901 + 4.72758i) q^{52} +(2.05973 - 2.37706i) q^{53} +(1.82461 + 4.86526i) q^{54} +(-18.6559 + 5.47788i) q^{55} +(-0.654861 - 0.755750i) q^{56} +(2.56510 + 11.7577i) q^{57} +(2.75037 - 1.76755i) q^{58} +(-1.02006 + 0.883887i) q^{59} +(5.11552 + 0.362791i) q^{60} +(4.79046 + 0.688764i) q^{61} +(3.42106 + 2.96436i) q^{62} +(-1.24951 - 2.72740i) q^{63} +(0.959493 + 0.281733i) q^{64} +(6.39255 + 13.9977i) q^{65} +(-11.1156 - 2.41109i) q^{66} +(7.67113 - 11.9365i) q^{67} -1.26359 q^{68} +(8.26761 + 0.804121i) q^{69} -2.96086 q^{70} +(4.56331 - 7.10066i) q^{71} +(2.52570 + 1.61890i) q^{72} +(-4.95132 - 10.8419i) q^{73} +(-5.77365 - 1.69530i) q^{74} +(4.61051 - 4.61603i) q^{75} +(5.25092 + 4.54994i) q^{76} +(6.50000 + 0.934560i) q^{77} +(-0.636812 + 8.97934i) q^{78} +(-4.78661 + 4.14762i) q^{79} +(2.49084 - 1.60076i) q^{80} +(5.91002 + 6.78761i) q^{81} +(2.36219 + 2.72612i) q^{82} +(9.99898 - 2.93596i) q^{83} +(-1.52068 - 0.829173i) q^{84} +(-2.45005 + 2.82750i) q^{85} +(-3.18460 + 6.97330i) q^{86} +(3.39082 - 4.53527i) q^{87} +(-5.97341 + 2.72797i) q^{88} +(-2.44633 - 17.0146i) q^{89} +(8.51978 - 2.51272i) q^{90} -5.19724i q^{91} +(4.10094 - 2.48642i) q^{92} +(7.34778 + 2.73557i) q^{93} +(-1.79331 - 1.15249i) q^{94} +(20.3626 - 2.92770i) q^{95} +(1.72756 - 0.124597i) q^{96} +(-1.20050 + 4.08852i) q^{97} +(0.909632 + 0.415415i) q^{98} +(-19.4966 + 2.82703i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 4 q^{3} + 24 q^{4} - 4 q^{5} + 4 q^{9}+O(q^{10}) $ 240 * q - 4 * q^3 + 24 * q^4 - 4 * q^5 + 4 * q^9	$ 240 q - 4 q^{3} + 24 q^{4} - 4 q^{5} + 4 q^{9} + 4 q^{12} - 8 q^{13} + 24 q^{14} + 18 q^{15} - 24 q^{16} + 32 q^{17} - 4 q^{18} + 4 q^{20} - 8 q^{23} + 12 q^{25} - 148 q^{27} + 40 q^{30} + 16 q^{31} + 42 q^{33} - 4 q^{36} + 22 q^{37} + 8 q^{39} + 154 q^{41} + 4 q^{42} + 22 q^{43} + 24 q^{45} + 4 q^{46} - 4 q^{48} + 24 q^{49} + 88 q^{50} + 24 q^{51} + 8 q^{52} - 108 q^{53} + 12 q^{54} - 16 q^{55} - 24 q^{56} - 62 q^{57} - 4 q^{58} + 22 q^{59} - 18 q^{60} - 4 q^{63} + 24 q^{64} - 100 q^{66} - 44 q^{67} - 32 q^{68} - 86 q^{69} + 4 q^{70} + 4 q^{72} - 12 q^{73} - 16 q^{74} - 26 q^{75} - 78 q^{78} - 4 q^{80} + 52 q^{81} + 8 q^{82} + 16 q^{83} - 28 q^{85} + 16 q^{86} - 196 q^{87} + 24 q^{89} + 126 q^{90} + 8 q^{92} - 16 q^{93} - 8 q^{94} + 132 q^{97} + 172 q^{99}+O(q^{100}) $ 240 * q - 4 * q^3 + 24 * q^4 - 4 * q^5 + 4 * q^9 + 4 * q^12 - 8 * q^13 + 24 * q^14 + 18 * q^15 - 24 * q^16 + 32 * q^17 - 4 * q^18 + 4 * q^20 - 8 * q^23 + 12 * q^25 - 148 * q^27 + 40 * q^30 + 16 * q^31 + 42 * q^33 - 4 * q^36 + 22 * q^37 + 8 * q^39 + 154 * q^41 + 4 * q^42 + 22 * q^43 + 24 * q^45 + 4 * q^46 - 4 * q^48 + 24 * q^49 + 88 * q^50 + 24 * q^51 + 8 * q^52 - 108 * q^53 + 12 * q^54 - 16 * q^55 - 24 * q^56 - 62 * q^57 - 4 * q^58 + 22 * q^59 - 18 * q^60 - 4 * q^63 + 24 * q^64 - 100 * q^66 - 44 * q^67 - 32 * q^68 - 86 * q^69 + 4 * q^70 + 4 * q^72 - 12 * q^73 - 16 * q^74 - 26 * q^75 - 78 * q^78 - 4 * q^80 + 52 * q^81 + 8 * q^82 + 16 * q^83 - 28 * q^85 + 16 * q^86 - 196 * q^87 + 24 * q^89 + 126 * q^90 + 8 * q^92 - 16 * q^93 - 8 * q^94 + 132 * q^97 + 172 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$323$	$829$	$925$
$\chi(n)$	$-1$	$1$	$e\left(\frac{13}{22}\right)$

Coefficient data

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

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

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

$2$	0.540641	−	0.841254i	0.382291	−	0.594856i
$2$	0.540641	−	0.841254i	0.382291	−	0.594856i
$3$	0.367161	−	1.69269i	0.211980	−	0.977274i
$3$	0.367161	−	1.69269i	0.211980	−	0.977274i
$4$	−0.415415	−	0.909632i	−0.207708	−	0.454816i
$5$	−2.84093	−	0.834172i	−1.27050	−	0.373053i	−0.424109	−	0.905611i	$-0.639413\pi$
$5$	−2.84093	−	0.834172i	−1.27050	−	0.373053i	−0.846393	+	0.532558i	$0.821231\pi$
$6$	−1.22548	−	1.22401i	−0.500299	−	0.499701i
$7$	0.755750	+	0.654861i	0.285646	+	0.247514i
$7$	0.755750	+	0.654861i	0.285646	+	0.247514i
$8$	−0.989821	−	0.142315i	−0.349955	−	0.0503159i
$9$	−2.73039	−	1.24298i	−0.910129	−	0.414326i
$10$	−2.23767	+	1.93895i	−0.707614	+	0.613151i
$11$	5.52438	−	3.55030i	1.66566	−	1.07046i	0.756524	−	0.653965i	$-0.226896\pi$
$11$	5.52438	−	3.55030i	1.66566	−	1.07046i	0.909139	−	0.416492i	$-0.136741\pi$
$12$	−1.69225	+	0.369187i	−0.488510	+	0.106575i
$13$	−3.40347	−	3.92781i	−0.943953	−	1.08938i	−0.995876	−	0.0907286i	$-0.971080\pi$
$13$	−3.40347	−	3.92781i	−0.943953	−	1.08938i	0.0519227	−	0.998651i	$-0.483465\pi$
$14$	0.959493	−	0.281733i	0.256435	−	0.0752962i
$15$	−2.45507	+	4.50253i	−0.633896	+	1.16255i
$16$	−0.654861	+	0.755750i	−0.163715	+	0.188937i
$17$	0.524915	−	1.14940i	0.127311	−	0.278771i	−0.835234	−	0.549895i	$-0.814668\pi$
$17$	0.524915	−	1.14940i	0.127311	−	0.278771i	0.962545	+	0.271123i	$0.0873952\pi$
$18$	−2.52182	+	1.62494i	−0.594398	+	0.383003i
$19$	−6.32008	+	2.88629i	−1.44993	+	0.662159i	−0.975873	−	0.218337i	$-0.929937\pi$
$19$	−6.32008	+	2.88629i	−1.44993	+	0.662159i	−0.474053	+	0.880496i	$0.657210\pi$
$20$	0.421375	+	2.93073i	0.0942223	+	0.655331i
$21$	1.38596	−	1.03881i	0.302440	−	0.226687i
$22$		−	6.56685i		−	1.40006i
$23$	0.558138	+	4.76324i	0.116380	+	0.993205i
$23$	0.558138	+	4.76324i	0.116380	+	0.993205i
$24$	−0.604318	+	1.62321i	−0.123356	+	0.331336i
$25$	3.16877	+	2.03644i	0.633753	+	0.407289i
$26$	−5.14434	+	0.739645i	−1.00889	+	0.145056i
$27$	−3.10646	+	4.16532i	−0.597839	+	0.801616i
$28$	0.281733	−	0.959493i	0.0532424	−	0.181327i
$29$	2.97392	+	1.35815i	0.552244	+	0.252201i	0.671935	−	0.740610i	$-0.265463\pi$
$29$	2.97392	+	1.35815i	0.552244	+	0.252201i	−0.119692	+	0.992811i	$0.538191\pi$
$30$	2.46046	+	4.49959i	0.449216	+	0.821509i
$31$	−0.644218	+	4.48063i	−0.115705	+	0.804746i	0.846494	+	0.532398i	$0.178709\pi$
$31$	−0.644218	+	4.48063i	−0.115705	+	0.804746i	−0.962199	+	0.272347i	$0.912200\pi$
$32$	0.281733	+	0.959493i	0.0498038	+	0.169616i
$33$	−3.98122	−	10.6546i	−0.693042	−	1.85473i
$34$	−0.683149	−	1.06300i	−0.117159	−	0.182303i
$35$	−1.60076	−	2.49084i	−0.270579	−	0.421028i
$36$	0.00359208	+	3.00000i	0.000598679	+	0.500000i
$37$	−1.69530	−	5.77365i	−0.278705	−	0.949182i	−0.973253	−	0.229735i	$-0.926214\pi$
$37$	−1.69530	−	5.77365i	−0.278705	−	0.949182i	0.694548	−	0.719446i	$-0.255604\pi$
$38$	−0.988797	+	6.87724i	−0.160404	+	1.11564i
$39$	−7.89819	+	4.31888i	−1.26472	+	0.691574i
$40$	2.69330	+	1.22999i	0.425848	+	0.194478i
$41$	−1.01626	+	3.46105i	−0.158713	+	0.540526i	−1.00000		6.24099e-5i	$-0.999980\pi$
$41$	−1.01626	+	3.46105i	−0.158713	+	0.540526i	0.841287	+	0.540588i	$0.181798\pi$
$42$	−0.124597	−	1.72756i	−0.0192258	−	0.266569i
$43$	−7.58804	+	1.09100i	−1.15717	+	0.166375i	−0.694053	−	0.719924i	$-0.744176\pi$
$43$	−7.58804	+	1.09100i	−1.15717	+	0.166375i	−0.463112	+	0.886300i	$0.653267\pi$
$44$	−5.52438	−	3.55030i	−0.832832	−	0.535229i
$45$	6.71998	+	5.80882i	1.00176	+	0.865928i
$46$	4.30885	+	2.10567i	0.635305	+	0.310464i
$47$		−	2.13171i		−	0.310941i	−0.987840	−	0.155471i	$-0.950311\pi$
$47$		−	2.13171i		−	0.310941i	0.987840	−	0.155471i	$-0.0496894\pi$
$48$	1.03881	+	1.38596i	0.149939	+	0.200046i
$49$	0.142315	+	0.989821i	0.0203307	+	0.141403i
$50$	3.42633	−	1.56475i	0.484556	−	0.221289i
$51$	−1.75285	−	1.31053i	−0.245448	−	0.183511i
$52$	−2.15901	+	4.72758i	−0.299401	+	0.655597i
$53$	2.05973	−	2.37706i	0.282926	−	0.326514i	−0.596443	−	0.802656i	$-0.703420\pi$
$53$	2.05973	−	2.37706i	0.282926	−	0.326514i	0.879368	+	0.476142i	$0.157965\pi$
$54$	1.82461	+	4.86526i	0.248298	+	0.662079i
$55$	−18.6559	+	5.47788i	−2.51557	+	0.738637i
$56$	−0.654861	−	0.755750i	−0.0875094	−	0.100991i
$57$	2.56510	+	11.7577i	0.339755	+	1.55734i
$58$	2.75037	−	1.76755i	0.361141	−	0.232091i
$59$	−1.02006	+	0.883887i	−0.132800	+	0.115072i	−0.718729	−	0.695291i	$-0.755276\pi$
$59$	−1.02006	+	0.883887i	−0.132800	+	0.115072i	0.585928	+	0.810363i	$0.300730\pi$
$60$	5.11552	+	0.362791i	0.660411	+	0.0468361i
$61$	4.79046	+	0.688764i	0.613355	+	0.0881872i	0.441989	−	0.897020i	$-0.354273\pi$
$61$	4.79046	+	0.688764i	0.613355	+	0.0881872i	0.171366	+	0.985207i	$0.445182\pi$
$62$	3.42106	+	2.96436i	0.434475	+	0.376475i
$63$	−1.24951	−	2.72740i	−0.157424	−	0.343620i
$64$	0.959493	+	0.281733i	0.119937	+	0.0352166i
$65$	6.39255	+	13.9977i	0.792898	+	1.73620i
$66$	−11.1156	−	2.41109i	−1.36824	−	0.296784i
$67$	7.67113	−	11.9365i	0.937178	−	1.45828i	0.0489880	−	0.998799i	$-0.484400\pi$
$67$	7.67113	−	11.9365i	0.937178	−	1.45828i	0.888190	−	0.459477i	$-0.151963\pi$
$68$	−1.26359			−0.153233
$69$	8.26761	+	0.804121i	0.995303	+	0.0968048i
$70$	−2.96086			−0.353891
$71$	4.56331	−	7.10066i	0.541566	−	0.842693i	−0.457348	−	0.889288i	$-0.651201\pi$
$71$	4.56331	−	7.10066i	0.541566	−	0.842693i	0.998914	+	0.0465949i	$0.0148370\pi$
$72$	2.52570	+	1.61890i	0.297657	+	0.190789i
$73$	−4.95132	−	10.8419i	−0.579508	−	1.26895i	−0.941578	−	0.336795i	$-0.890657\pi$
$73$	−4.95132	−	10.8419i	−0.579508	−	1.26895i	0.362070	−	0.932151i	$-0.382070\pi$
$74$	−5.77365	−	1.69530i	−0.671173	−	0.197074i
$75$	4.61051	−	4.61603i	0.532376	−	0.533014i
$76$	5.25092	+	4.54994i	0.602321	+	0.521914i
$77$	6.50000	+	0.934560i	0.740744	+	0.106503i
$78$	−0.636812	+	8.97934i	−0.0721047	+	1.01671i
$79$	−4.78661	+	4.14762i	−0.538536	+	0.466644i	−0.881153	−	0.472831i	$-0.843232\pi$
$79$	−4.78661	+	4.14762i	−0.538536	+	0.466644i	0.342617	+	0.939475i	$0.388687\pi$
$80$	2.49084	−	1.60076i	0.278484	−	0.178971i
$81$	5.91002	+	6.78761i	0.656669	+	0.754179i
$82$	2.36219	+	2.72612i	0.260861	+	0.301049i
$83$	9.99898	−	2.93596i	1.09753	−	0.322264i	0.317660	−	0.948205i	$-0.397103\pi$
$83$	9.99898	−	2.93596i	1.09753	−	0.322264i	0.779871	+	0.625941i	$0.215285\pi$
$84$	−1.52068	−	0.829173i	−0.165920	−	0.0904702i
$85$	−2.45005	+	2.82750i	−0.265745	+	0.306686i
$86$	−3.18460	+	6.97330i	−0.343404	+	0.751950i
$87$	3.39082	−	4.53527i	0.363534	−	0.486232i
$88$	−5.97341	+	2.72797i	−0.636768	+	0.290802i
$89$	−2.44633	−	17.0146i	−0.259311	−	1.80355i	−0.537763	−	0.843096i	$-0.680731\pi$
$89$	−2.44633	−	17.0146i	−0.259311	−	1.80355i	0.278453	−	0.960450i	$-0.410178\pi$
$90$	8.51978	−	2.51272i	0.898064	−	0.264864i
$91$		−	5.19724i		−	0.544819i
$92$	4.10094	−	2.48642i	0.427552	−	0.259228i
$93$	7.34778	+	2.73557i	0.761930	+	0.283666i
$94$	−1.79331	−	1.15249i	−0.184965	−	0.118870i
$95$	20.3626	−	2.92770i	2.08916	−	0.300375i
$96$	1.72756	−	0.124597i	0.176319	−	0.0127167i
$97$	−1.20050	+	4.08852i	−0.121892	+	0.415126i	−0.997719	−	0.0674984i	$-0.978498\pi$
$97$	−1.20050	+	4.08852i	−0.121892	+	0.415126i	0.875827	+	0.482625i	$0.160316\pi$
$98$	0.909632	+	0.415415i	0.0918867	+	0.0419633i
$99$	−19.4966	+	2.82703i	−1.95949	+	0.284127i
$100$	0.536060	−	3.72838i	0.0536060	−	0.372838i
$101$	−1.42661	−	4.85860i	−0.141953	−	0.483449i	0.857568	−	0.514370i	$-0.171974\pi$
$101$	−1.42661	−	4.85860i	−0.141953	−	0.483449i	−0.999522	+	0.0309210i	$0.990156\pi$
$102$	−2.05015	+	0.766066i	−0.202995	+	0.0758519i
$103$	4.26388	+	6.63473i	0.420133	+	0.653739i	0.985220	−	0.171291i	$-0.0547940\pi$
$103$	4.26388	+	6.63473i	0.420133	+	0.653739i	−0.565088	+	0.825031i	$0.691158\pi$
$104$	2.80984	+	4.37220i	0.275528	+	0.428729i
$105$	−4.80395	+	1.79506i	−0.468817	+	0.175180i
$106$	−0.886132	−	3.01789i	−0.0860688	−	0.293123i
$107$	0.817274	−	5.68426i	0.0790088	−	0.549519i	−0.911418	−	0.411481i	$-0.865012\pi$
$107$	0.817274	−	5.68426i	0.0790088	−	0.549519i	0.990427	−	0.138037i	$-0.0440794\pi$
$108$	5.07938	+	1.09540i	0.488764	+	0.105405i
$109$	−8.09308	−	3.69599i	−0.775176	−	0.354011i	−0.0117709	−	0.999931i	$-0.503747\pi$
$109$	−8.09308	−	3.69599i	−0.775176	−	0.354011i	−0.763405	+	0.645920i	$0.776474\pi$
$110$	−5.47788	+	18.6559i	−0.522295	+	1.77877i
$111$	−10.3954	+	0.749751i	−0.986690	+	0.0711632i
$112$	−0.989821	+	0.142315i	−0.0935293	+	0.0134475i
$113$	−17.0436	−	10.9532i	−1.60332	−	1.03039i	−0.965567	−	0.260156i	$-0.916226\pi$
$113$	−17.0436	−	10.9532i	−1.60332	−	1.03039i	−0.637757	−	0.770238i	$-0.720138\pi$
$114$	11.2780	+	4.19878i	1.05628	+	0.393251i
$115$	2.38773	−	13.9976i	0.222657	−	1.30528i
$116$		−	3.26937i		−	0.303553i
$117$	4.41061	+	14.9549i	0.407761	+	1.38258i
$118$	0.192087	+	1.33599i	0.0176830	+	0.122988i
$119$	1.14940	−	0.524915i	0.105366	−	0.0481189i
$120$	3.07086	−	4.10731i	0.280330	−	0.374944i
$121$	13.3446	−	29.2205i	1.21314	−	2.65641i
$122$	3.16934	−	3.65761i	0.286939	−	0.331145i
$123$	5.48536	+	2.99097i	0.494598	+	0.269687i
$124$	4.34335	−	1.27532i	0.390044	−	0.114527i
$125$	2.39127	+	2.75968i	0.213882	+	0.246833i
$126$	−2.96997	−	0.423389i	−0.264586	−	0.0377185i
$127$	−4.83929	+	3.11002i	−0.429417	+	0.275970i	−0.737444	−	0.675408i	$-0.763968\pi$
$127$	−4.83929	+	3.11002i	−0.429417	+	0.275970i	0.308027	+	0.951378i	$0.400331\pi$
$128$	0.755750	−	0.654861i	0.0667995	−	0.0578821i
$129$	−0.939314	+	13.2448i	−0.0827020	+	1.16614i
$130$	15.2317	+	2.18999i	1.33591	+	0.192075i
$131$	−2.93565	−	2.54376i	−0.256489	−	0.222249i	0.517119	−	0.855914i	$-0.327005\pi$
$131$	−2.93565	−	2.54376i	−0.256489	−	0.222249i	−0.773608	+	0.633664i	$0.781550\pi$
$132$	−8.03789	+	8.04752i	−0.699609	+	0.700447i
$133$	−6.66652	−	1.95747i	−0.578060	−	0.169734i
$134$	−5.89431	−	12.9067i	−0.509190	−	1.11497i
$135$	12.2998	−	9.24206i	1.05860	−	0.795429i
$136$	−0.683149	+	1.06300i	−0.0585795	+	0.0911515i
$137$	−12.8329			−1.09639			−0.548193	−	0.836352i	$-0.684684\pi$
$137$	−12.8329			−1.09639			−0.548193	+	0.836352i	$0.684684\pi$
$138$	5.14628	−	6.52042i	0.438080	−	0.555055i
$139$	0.453825			0.0384930			0.0192465	−	0.999815i	$-0.493873\pi$
$139$	0.453825			0.0384930			0.0192465	+	0.999815i	$0.493873\pi$
$140$	−1.60076	+	2.49084i	−0.135289	+	0.210514i
$141$	−3.60832	−	0.782679i	−0.303875	−	0.0659134i
$142$	−3.50634	−	7.67781i	−0.294245	−	0.644307i
$143$	−32.7470	−	9.61539i	−2.73844	−	0.804079i
$144$	2.72740	−	1.24951i	0.227283	−	0.104126i
$145$	−7.31578	−	6.33916i	−0.607542	−	0.526438i
$146$	−11.7977	−	1.69625i	−0.976381	−	0.140382i
$147$	1.72771	+	0.122529i	0.142499	+	0.0101060i
$148$	−4.54764	+	3.94055i	−0.373814	+	0.323912i
$149$	7.77491	−	4.99663i	0.636946	−	0.409340i	−0.181930	−	0.983312i	$-0.558234\pi$
$149$	7.77491	−	4.99663i	0.636946	−	0.409340i	0.818875	+	0.573971i	$0.194598\pi$
$150$	−1.39062	−	6.37422i	−0.113544	−	0.520453i
$151$	11.6910	+	13.4921i	0.951399	+	1.09797i	0.995095	+	0.0989280i	$0.0315413\pi$
$151$	11.6910	+	13.4921i	0.951399	+	1.09797i	−0.0436957	+	0.999045i	$0.513913\pi$
$152$	6.66652	−	1.95747i	0.540726	−	0.158771i
$153$	−2.86190	+	2.48586i	−0.231371	+	0.200970i
$154$	4.30037	−	4.96289i	0.346534	−	0.399921i
$155$	5.56780	−	12.1918i	0.447216	−	0.979267i
$156$	7.20961	+	5.39032i	0.577231	+	0.431571i
$157$	−8.09050	+	3.69481i	−0.645692	+	0.294878i	−0.711216	−	0.702973i	$-0.751855\pi$
$157$	−8.09050	+	3.69481i	−0.645692	+	0.294878i	0.0655241	+	0.997851i	$0.479128\pi$
$158$	0.901365	+	6.26913i	0.0717087	+	0.498745i
$159$	−3.26736	−	4.35924i	−0.259119	−	0.345710i
$160$		−	2.96086i		−	0.234077i
$161$	−2.69745	+	3.96532i	−0.212589	+	0.312511i
$162$	8.90530	−	1.30216i	0.699666	−	0.102308i
$163$	8.04522	+	5.17035i	0.630150	+	0.404973i	0.816365	−	0.577536i	$-0.195986\pi$
$163$	8.04522	+	5.17035i	0.630150	+	0.404973i	−0.186215	+	0.982509i	$0.559622\pi$
$164$	3.57045	−	0.513354i	0.278806	−	0.0400862i
$165$	2.42261	+	33.5900i	0.188600	+	2.61497i
$166$	2.93596	−	9.99898i	0.227875	−	0.776071i
$167$	15.8899	+	7.25668i	1.22960	+	0.561539i	0.920966	−	0.389643i	$-0.127402\pi$
$167$	15.8899	+	7.25668i	1.22960	+	0.561539i	0.308632	+	0.951182i	$0.400129\pi$
$168$	−1.51969	+	0.830994i	−0.117246	+	0.0641125i
$169$	−1.99402	+	13.8687i	−0.153386	+	1.06682i
$170$	1.05405	+	3.58977i	0.0808421	+	0.275323i
$171$	20.8439	−	0.0249576i	1.59397	−	0.00190855i
$172$	4.14459	+	6.44911i	0.316022	+	0.491740i
$173$	−3.55195	−	5.52695i	−0.270050	−	0.420206i	0.679570	−	0.733611i	$-0.262167\pi$
$173$	−3.55195	−	5.52695i	−0.270050	−	0.420206i	−0.949620	+	0.313405i	$0.898530\pi$
$174$	−1.98209	−	5.30449i	−0.150262	−	0.402133i
$175$	1.06121	+	3.61414i	0.0802198	+	0.273203i
$176$	−0.934560	+	6.50000i	−0.0704451	+	0.489956i
$177$	1.12162	+	2.05117i	0.0843060	+	0.154175i
$178$	−15.6362	−	7.14081i	−1.17198	−	0.535226i
$179$	2.64676	−	9.01405i	0.197828	−	0.673741i	−0.799498	−	0.600668i	$-0.794901\pi$
$179$	2.64676	−	9.01405i	0.197828	−	0.673741i	0.997327	−	0.0730730i	$-0.0232806\pi$
$180$	2.49231	−	8.52578i	0.185766	−	0.635474i
$181$	9.68923	−	1.39310i	0.720195	−	0.103548i	0.227534	−	0.973770i	$-0.426934\pi$
$181$	9.68923	−	1.39310i	0.720195	−	0.103548i	0.492660	+	0.870222i	$0.336025\pi$
$182$	−4.37220	−	2.80984i	−0.324089	−	0.208279i
$183$	2.92473	−	7.85586i	0.216202	−	0.580722i
$184$	0.125423	−	4.79419i	0.00924629	−	0.353432i
$185$			17.8167i			1.30991i
$186$	6.27382	−	4.70239i	0.460019	−	0.344796i
$187$	−1.18090	−	8.21335i	−0.0863561	−	0.600620i
$188$	−1.93907	+	0.885543i	−0.141421	+	0.0645849i
$189$	−5.07541	+	1.11364i	−0.369182	+	0.0810053i
$190$	8.54590	−	18.7129i	0.619985	−	1.35758i
$191$	−0.806279	+	0.930495i	−0.0583403	+	0.0673283i	−0.784170	−	0.620547i	$-0.786911\pi$
$191$	−0.806279	+	0.930495i	−0.0583403	+	0.0673283i	0.725829	+	0.687875i	$0.241456\pi$
$192$	0.829173	−	1.52068i	0.0598404	−	0.109746i
$193$	4.60403	−	1.35187i	0.331406	−	0.0973095i	−0.111797	−	0.993731i	$-0.535661\pi$
$193$	4.60403	−	1.35187i	0.331406	−	0.0973095i	0.443202	+	0.896422i	$0.353842\pi$
$194$	2.79044	+	3.22034i	0.200342	+	0.231207i
$195$	26.0409	−	5.68117i	1.86483	−	0.406837i
$196$	0.841254	−	0.540641i	0.0600895	−	0.0386172i
$197$	−8.09173	+	7.01152i	−0.576512	+	0.499550i	−0.893611	−	0.448842i	$-0.851837\pi$
$197$	−8.09173	+	7.01152i	−0.576512	+	0.499550i	0.317099	+	0.948392i	$0.397291\pi$
$198$	−8.16244	+	17.9300i	−0.580079	+	1.27423i
$199$	−23.1248	−	3.32484i	−1.63927	−	0.235692i	−0.739850	−	0.672772i	$-0.765104\pi$
$199$	−23.1248	−	3.32484i	−1.63927	−	0.235692i	−0.899423	+	0.437080i	$0.856013\pi$
$200$	−2.84670	−	2.46668i	−0.201292	−	0.174420i
$201$	−17.3883	−	17.3674i	−1.22647	−	1.22501i
$202$	−4.85860	−	1.42661i	−0.341850	−	0.100376i
$203$	1.35815	+	2.97392i	0.0953231	+	0.208728i
$204$	−0.463941	+	2.13887i	−0.0324824	+	0.149751i
$205$	5.77423	−	8.98488i	0.403290	−	0.627531i
$206$	7.88672			0.549494
$207$	4.39667	−	13.6992i	0.305589	−	0.952163i
$208$	5.19724			0.360364
$209$	−24.6674	+	38.3832i	−1.70628	+	2.65502i
$210$	−1.08711	+	5.01182i	−0.0750179	+	0.345848i
$211$	−9.43139	−	20.6519i	−0.649284	−	1.42173i	−0.892180	−	0.451681i	$-0.850825\pi$
$211$	−9.43139	−	20.6519i	−0.649284	−	1.42173i	0.242896	−	0.970052i	$-0.421903\pi$
$212$	−3.01789	−	0.886132i	−0.207269	−	0.0608598i
$213$	−10.3437	−	10.3313i	−0.708741	−	0.707892i
$214$	−4.34006	−	3.76068i	−0.296680	−	0.257075i
$215$	22.4672	+	3.23029i	1.53225	+	0.220304i
$216$	3.66763	−	3.68083i	0.249551	−	0.250449i
$217$	−3.42106	+	2.96436i	−0.232237	+	0.201234i
$218$	−7.48471	+	4.81013i	−0.506928	+	0.325783i
$219$	−20.1698	+	4.40033i	−1.36295	+	0.297347i
$220$	12.7328	+	14.6944i	0.858446	+	0.990700i
$221$	−6.30117	+	1.85019i	−0.423863	+	0.124457i
$222$	−4.98946	+	9.15054i	−0.334871	+	0.614144i
$223$	7.75947	−	8.95490i	0.519612	−	0.599665i	−0.433921	−	0.900951i	$-0.642870\pi$
$223$	7.75947	−	8.95490i	0.519612	−	0.599665i	0.953534	+	0.301286i	$0.0974159\pi$
$224$	−0.415415	+	0.909632i	−0.0277561	+	0.0607773i
$225$	−6.12071	−	9.49898i	−0.408047	−	0.633265i
$226$	−18.4289	+	8.41619i	−1.22587	+	0.559837i
$227$	−2.05031	−	14.2602i	−0.136084	−	0.946484i	−0.937403	−	0.348247i	$-0.886777\pi$
$227$	−2.05031	−	14.2602i	−0.136084	−	0.946484i	0.801319	−	0.598237i	$-0.204132\pi$
$228$	9.62957	−	7.21760i	0.637734	−	0.477997i
$229$			2.91872i			0.192874i	0.995339	+	0.0964371i	$0.0307447\pi$
$229$			2.91872i			0.192874i	−0.995339	+	0.0964371i	$0.969255\pi$
$230$	−10.4846	−	9.57637i	−0.691337	−	0.631447i
$231$	3.96846	−	10.6593i	0.261106	−	0.701334i
$232$	−2.75037	−	1.76755i	−0.180571	−	0.116046i
$233$	−6.97526	+	1.00289i	−0.456964	+	0.0657016i	−0.366954	−	0.930239i	$-0.619599\pi$
$233$	−6.97526	+	1.00289i	−0.456964	+	0.0657016i	−0.0900107	+	0.995941i	$0.528690\pi$
$234$	14.9654	+	4.37478i	0.978319	+	0.285988i
$235$	−1.77821	+	6.05603i	−0.115998	+	0.395052i
$236$	1.22776	+	0.560699i	0.0799204	+	0.0364984i
$237$	5.26318	+	9.62509i	0.341880	+	0.625217i
$238$	0.179828	−	1.25073i	0.0116565	−	0.0810728i
$239$	4.70181	+	16.0129i	0.304135	+	1.03579i	0.959788	+	0.280725i	$0.0905750\pi$
$239$	4.70181	+	16.0129i	0.304135	+	1.03579i	−0.655653	+	0.755062i	$0.727607\pi$
$240$	−1.79506	−	4.80395i	−0.115870	−	0.310094i
$241$	−5.74102	−	8.93320i	−0.369811	−	0.575438i	0.605616	−	0.795757i	$-0.292927\pi$
$241$	−5.74102	−	8.93320i	−0.369811	−	0.575438i	−0.975428	+	0.220319i	$0.929290\pi$
$242$	−17.3673	−	27.0240i	−1.11641	−	1.73717i
$243$	13.6592	−	7.51167i	0.876240	−	0.481874i
$244$	−1.36351	−	4.64368i	−0.0872895	−	0.297281i
$245$	0.421375	−	2.93073i	0.0269207	−	0.187237i
$246$	5.48177	−	2.99754i	0.349505	−	0.191116i
$247$	32.8470	+	15.0007i	2.09001	+	0.954474i
$248$	1.27532	−	4.34335i	0.0809830	−	0.275803i
$249$	−1.29844	−	18.0031i	−0.0822854	−	1.14090i
$250$	3.61441	−	0.519673i	0.228595	−	0.0328670i
$251$	−11.6552	−	7.49037i	−0.735673	−	0.472788i	0.118384	−	0.992968i	$-0.462229\pi$
$251$	−11.6552	−	7.49037i	−0.735673	−	0.472788i	−0.854057	+	0.520180i	$0.825865\pi$
$252$	−1.96187	+	2.26960i	−0.123586	+	0.142971i
$253$	19.9943	+	24.3324i	1.25703	+	1.52977i
$254$			5.75247i			0.360942i
$255$	3.88652	+	5.18531i	0.243383	+	0.324717i
$256$	−0.142315	−	0.989821i	−0.00889468	−	0.0618638i
$257$	11.8898	−	5.42990i	0.741666	−	0.338708i	−0.00849377	−	0.999964i	$-0.502704\pi$
$257$	11.8898	−	5.42990i	0.741666	−	0.338708i	0.750160	+	0.661256i	$0.229976\pi$
$258$	10.6344	+	7.95086i	0.662067	+	0.494999i
$259$	2.49972	−	5.47361i	0.155325	−	0.340114i
$260$	10.0772	−	11.6297i	0.624962	−	0.721245i
$261$	−6.43182	−	7.40478i	−0.398119	−	0.458344i
$262$	−3.72708	+	1.09437i	−0.230260	+	0.0676104i
$263$	7.99135	+	9.22251i	0.492768	+	0.568684i	0.946603	−	0.322401i	$-0.104490\pi$
$263$	7.99135	+	9.22251i	0.492768	+	0.568684i	−0.453835	+	0.891086i	$0.649945\pi$
$264$	2.42439	+	11.1127i	0.149211	+	0.683941i
$265$	−7.83442	+	5.03488i	−0.481265	+	0.309290i
$266$	−5.25092	+	4.54994i	−0.321954	+	0.278975i
$267$	−29.6986	−	2.10622i	−1.81753	−	0.128898i
$268$	−14.0445	−	2.01930i	−0.857906	−	0.123348i
$269$	14.3354	+	12.4217i	0.874043	+	0.757363i	0.971290	−	0.237897i	$-0.0764582\pi$
$269$	14.3354	+	12.4217i	0.874043	+	0.757363i	−0.0972468	+	0.995260i	$0.531004\pi$
$270$	−1.12512	−	15.3439i	−0.0684727	−	0.933801i
$271$	18.3900	+	5.39980i	1.11711	+	0.328015i	0.787631	−	0.616147i	$-0.211307\pi$
$271$	18.3900	+	5.39980i	1.11711	+	0.328015i	0.329484	+	0.944161i	$0.393125\pi$
$272$	0.524915	+	1.14940i	0.0318276	+	0.0696928i
$273$	−8.79731	−	1.90822i	−0.532438	−	0.115491i
$274$	−6.93797	+	10.7957i	−0.419138	+	0.652191i
$275$	24.7355			1.49161
$276$	−2.70304	−	7.85453i	−0.162704	−	0.472787i
$277$	12.3972			0.744877			0.372438	−	0.928057i	$-0.378522\pi$
$277$	12.3972			0.744877			0.372438	+	0.928057i	$0.378522\pi$
$278$	0.245357	−	0.381782i	0.0147155	−	0.0228978i
$279$	7.32829	−	11.4331i	0.438733	−	0.684483i
$280$	1.22999	+	2.69330i	0.0735058	+	0.160955i
$281$	8.86993	+	2.60445i	0.529136	+	0.155368i	0.535378	−	0.844612i	$-0.320169\pi$
$281$	8.86993	+	2.60445i	0.529136	+	0.155368i	−0.00624288	+	0.999981i	$0.501987\pi$
$282$	−2.60923	+	2.61236i	−0.155378	+	0.155564i
$283$	−7.25410	−	6.28572i	−0.431212	−	0.373647i	0.412040	−	0.911166i	$-0.364816\pi$
$283$	−7.25410	−	6.28572i	−0.431212	−	0.373647i	−0.843252	+	0.537519i	$0.819362\pi$
$284$	−8.35465	−	1.20122i	−0.495757	−	0.0712792i
$285$	2.52066	−	35.5424i	0.149311	−	2.10535i
$286$	−25.7934	+	22.3501i	−1.52519	+	1.32159i
$287$	−3.03454	+	1.95018i	−0.179124	+	0.115116i
$288$	0.423389	−	2.96997i	0.0249484	−	0.175007i
$289$	10.0870	+	11.6411i	0.593355	+	0.684769i
$290$	−9.28805	+	2.72722i	−0.545413	+	0.160148i
$291$	6.47981	+	3.53321i	0.379853	+	0.207120i
$292$	−7.80526	+	9.00776i	−0.456769	+	0.527139i
$293$	12.6558	−	27.7124i	0.739362	−	1.61898i	−0.0452389	−	0.998976i	$-0.514405\pi$
$293$	12.6558	−	27.7124i	0.739362	−	1.61898i	0.784601	−	0.620001i	$-0.212868\pi$
$294$	1.03715	−	1.38720i	0.0604878	−	0.0809031i
$295$	3.63523	−	1.66015i	0.211651	−	0.0966579i
$296$	0.856364	+	5.95614i	0.0497752	+	0.346194i
$297$	−2.37313	+	34.0397i	−0.137703	+	1.97518i
$298$		−	9.24206i		−	0.535378i
$299$	16.8095	−	18.4038i	0.972120	−	1.06432i
$300$	−6.11417	−	2.27630i	−0.353002	−	0.131422i
$301$	−6.44911	−	4.14459i	−0.371720	−	0.238890i
$302$	17.6709	−	2.54069i	1.01685	−	0.146201i
$303$	−8.74789	+	0.630926i	−0.502553	+	0.0362457i
$304$	1.95747	−	6.66652i	0.112268	−	0.382351i
$305$	−13.0348	−	5.95279i	−0.746370	−	0.340856i
$306$	0.543976	+	3.75154i	0.0310970	+	0.214461i
$307$	2.94414	−	20.4770i	0.168031	−	1.16868i	−0.714917	−	0.699210i	$-0.753535\pi$
$307$	2.94414	−	20.4770i	0.168031	−	1.16868i	0.882948	−	0.469472i	$-0.155556\pi$
$308$	−1.85009	−	6.30084i	−0.105419	−	0.359024i
$309$	12.7961	−	4.78141i	0.727942	−	0.272005i
$310$	−7.24620	−	11.2753i	−0.411556	−	0.640394i
$311$	3.95356	+	6.15185i	0.224186	+	0.348840i	0.935066	−	0.354473i	$-0.115340\pi$
$311$	3.95356	+	6.15185i	0.224186	+	0.348840i	−0.710881	+	0.703313i	$0.751703\pi$
$312$	8.43243	−	3.15089i	0.477393	−	0.178384i
$313$	1.96687	+	6.69855i	0.111174	+	0.378624i	0.996219	−	0.0868821i	$-0.0276903\pi$
$313$	1.96687	+	6.69855i	0.111174	+	0.378624i	−0.885044	+	0.465507i	$0.845872\pi$
$314$	−1.26578	+	8.80372i	−0.0714324	+	0.496823i
$315$	1.27465	+	8.79066i	0.0718185	+	0.495298i
$316$	5.76124	+	2.63107i	0.324095	+	0.148009i
$317$	0.784787	−	2.67274i	0.0440781	−	0.150116i	−0.934514	−	0.355927i	$-0.884165\pi$
$317$	0.784787	−	2.67274i	0.0440781	−	0.150116i	0.978592	+	0.205811i	$0.0659833\pi$
$318$	−5.43370	+	0.391896i	−0.304707	+	0.0219764i
$319$	21.2509	−	3.05542i	1.18982	−	0.171071i
$320$	−2.49084	−	1.60076i	−0.139242	−	0.0894854i
$321$	−9.32162	−	3.47043i	−0.520282	−	0.193700i
$322$	1.87749	+	4.41305i	0.104628	+	0.245930i
$323$			8.77938i			0.488498i
$324$	3.71912	−	8.19562i	0.206618	−	0.455312i
$325$	−2.78604	−	19.3773i	−0.154541	−	1.07486i
$326$	8.69914	−	3.97277i	0.481801	−	0.220031i
$327$	−9.22761	+	12.3420i	−0.510288	+	0.682516i
$328$	1.49847	−	3.28120i	0.0827393	−	0.181174i
$329$	1.39597	−	1.61104i	0.0769624	−	0.0888193i
$330$	29.5674	+	16.1221i	1.62763	+	0.887491i
$331$	13.3302	−	3.91409i	0.732693	−	0.215138i	0.105958	−	0.994371i	$-0.466209\pi$
$331$	13.3302	−	3.91409i	0.732693	−	0.215138i	0.626735	+	0.779233i	$0.284391\pi$
$332$	−6.82437	−	7.87574i	−0.374536	−	0.432238i
$333$	−2.54770	+	17.8715i	−0.139613	+	0.979352i
$334$	14.6954	−	9.44418i	0.804099	−	0.516763i
$335$	−31.7502	+	27.5117i	−1.73470	+	1.50313i
$336$	−0.122529	+	1.72771i	−0.00668449	+	0.0942544i
$337$	14.5900	+	2.09773i	0.794770	+	0.114271i	0.527727	−	0.849414i	$-0.323044\pi$
$337$	14.5900	+	2.09773i	0.794770	+	0.114271i	0.267043	+	0.963685i	$0.413953\pi$
$338$	10.5891	+	9.17548i	0.575969	+	0.499080i
$339$	−24.7981	+	24.8278i	−1.34685	+	1.34846i
$340$	3.58977	+	1.05405i	0.194683	+	0.0571640i
$341$	12.3487	+	27.0399i	0.668720	+	1.46429i
$342$	11.2480	−	17.5485i	0.608225	−	0.948912i
$343$	−0.540641	+	0.841254i	−0.0291919	+	0.0454234i
$344$	7.66607			0.413327
$345$	−22.8169	−	9.18106i	−1.22842	−	0.494292i
$346$	−6.56989			−0.353200
$347$	−1.26821	+	1.97337i	−0.0680809	+	0.105936i	−0.873625	−	0.486600i	$-0.838237\pi$
$347$	−1.26821	+	1.97337i	−0.0680809	+	0.105936i	0.805544	+	0.592536i	$0.201873\pi$
$348$	−5.53402	−	1.20038i	−0.296655	−	0.0643473i
$349$	−8.35339	−	18.2914i	−0.447147	−	0.979115i	−0.990231	−	0.139437i	$-0.955471\pi$
$349$	−8.35339	−	18.2914i	−0.447147	−	0.979115i	0.543084	−	0.839678i	$-0.317256\pi$
$350$	3.61414	+	1.06121i	0.193184	+	0.0567239i
$351$	26.9334	−	1.97494i	1.43760	−	0.105414i
$352$	4.96289	+	4.30037i	0.264523	+	0.229210i
$353$	16.1719	+	2.32517i	0.860744	+	0.123756i	0.558530	−	0.829484i	$-0.311365\pi$
$353$	16.1719	+	2.32517i	0.860744	+	0.123756i	0.302213	+	0.953240i	$0.402274\pi$
$354$	2.33195	+	0.165381i	0.123942	+	0.00878990i
$355$	−18.8872	+	16.3659i	−1.00243	+	0.868610i
$356$	−14.4608	+	9.29339i	−0.766421	+	0.492549i
$357$	−0.466502	−	2.13831i	−0.0246899	−	0.113171i
$358$	−6.15215	−	7.09996i	−0.325151	−	0.375245i
$359$	−6.26094	+	1.83838i	−0.330440	+	0.0970259i	−0.442744	−	0.896648i	$-0.645995\pi$
$359$	−6.26094	+	1.83838i	−0.330440	+	0.0970259i	0.112304	+	0.993674i	$0.464177\pi$
$360$	−5.82490	−	6.70605i	−0.306999	−	0.353440i
$361$	19.1705	−	22.1239i	1.00897	−	1.16442i
$362$	4.06644	−	8.90427i	0.213727	−	0.467998i
$363$	−44.5616	−	33.3168i	−2.33888	−	1.74868i
$364$	−4.72758	+	2.15901i	−0.247792	+	0.113163i
$365$	5.02236	+	34.9313i	0.262882	+	1.82839i
$366$	−5.02754	−	6.70764i	−0.262794	−	0.350614i
$367$		−	25.1405i		−	1.31232i	−0.754620	−	0.656162i	$-0.772179\pi$
$367$		−	25.1405i		−	1.31232i	0.754620	−	0.656162i	$-0.227821\pi$
$368$	−3.96532	−	2.69745i	−0.206707	−	0.140614i
$369$	7.07678	−	8.18683i	0.368403	−	0.426189i
$370$	14.9884	+	9.63243i	0.779207	+	0.500766i
$371$	3.11328	−	0.447622i	0.161634	−	0.0232394i
$372$	−0.564016	−	7.82018i	−0.0292429	−	0.405457i
$373$	−9.96104	+	33.9242i	−0.515763	+	1.75653i	0.128485	+	0.991711i	$0.458989\pi$
$373$	−9.96104	+	33.9242i	−0.515763	+	1.75653i	−0.644248	+	0.764817i	$0.722830\pi$
$374$	−7.54795	−	3.44703i	−0.390295	−	0.178242i
$375$	5.54925	−	3.03443i	0.286562	−	0.156698i
$376$	−0.303374	+	2.11001i	−0.0156453	+	0.108815i
$377$	−4.78712	−	16.3034i	−0.246549	−	0.839669i
$378$	−1.80712	+	4.87179i	−0.0929483	+	0.250578i
$379$	18.1898	+	28.3038i	0.934345	+	1.45387i	0.890579	+	0.454828i	$0.150299\pi$
$379$	18.1898	+	28.3038i	0.934345	+	1.45387i	0.0437662	+	0.999042i	$0.486064\pi$
$380$	−11.1220	−	17.3062i	−0.570549	−	0.887791i
$381$	3.48750	+	9.33328i	0.178670	+	0.478159i
$382$	0.346875	+	1.18135i	0.0177477	+	0.0604430i
$383$	−1.48485	+	10.3274i	−0.0758722	+	0.527703i	0.916071	+	0.401017i	$0.131343\pi$
$383$	−1.48485	+	10.3274i	−0.0758722	+	0.527703i	−0.991943	+	0.126686i	$0.959566\pi$
$384$	−0.830994	−	1.51969i	−0.0424065	−	0.0775512i
$385$	−17.6865	−	8.07714i	−0.901386	−	0.411649i
$386$	1.35187	−	4.60403i	0.0688082	−	0.234339i
$387$	22.0744	+	6.45292i	1.12210	+	0.328020i
$388$	4.21775	−	0.606421i	0.214124	−	0.0307864i
$389$	11.5994	+	7.45447i	0.588112	+	0.377957i	0.800593	−	0.599208i	$-0.204518\pi$
$389$	11.5994	+	7.45447i	0.588112	+	0.377957i	−0.212481	+	0.977165i	$0.568154\pi$
$390$	9.29945	−	24.9784i	0.470896	−	1.26483i
$391$	5.76786	+	1.85877i	0.291693	+	0.0940021i
$392$		−	1.00000i		−	0.0505076i
$393$	−5.38365	+	4.03518i	−0.271569	+	0.203548i
$394$	1.52375	+	10.5979i	0.0767654	+	0.533915i
$395$	17.0583	−	7.79025i	0.858294	−	0.391970i
$396$	10.6708	+	16.5604i	0.536225	+	0.832191i
$397$	−9.63243	+	21.0921i	−0.483438	+	1.05858i	0.498066	+	0.867139i	$0.334044\pi$
$397$	−9.63243	+	21.0921i	−0.483438	+	1.05858i	−0.981504	+	0.191442i	$0.938684\pi$
$398$	−15.2992	+	17.6563i	−0.766882	+	0.885029i
$399$	−5.76106	+	10.5656i	−0.288414	+	0.528943i
$400$	−3.61414	+	1.06121i	−0.180707	+	0.0530604i
$401$	−7.19010	−	8.29782i	−0.359057	−	0.414373i	0.547267	−	0.836958i	$-0.315668\pi$
$401$	−7.19010	−	8.29782i	−0.359057	−	0.414373i	−0.906323	+	0.422585i	$0.861123\pi$
$402$	−24.0112	+	5.23838i	−1.19757	+	0.261267i
$403$	19.7917	−	12.7193i	0.985894	−	0.633595i
$404$	−3.82690	+	3.31603i	−0.190395	+	0.164979i
$405$	−11.1279	−	24.2131i	−0.552950	−	1.20316i
$406$	3.23609	+	0.465280i	0.160605	+	0.0230914i
$407$	−29.8637	−	25.8770i	−1.48029	−	1.28268i
$408$	1.54850	+	1.54665i	0.0766623	+	0.0765706i
$409$	10.5276	+	3.09118i	0.520557	+	0.152849i	0.531447	−	0.847091i	$-0.321648\pi$
$409$	10.5276	+	3.09118i	0.520557	+	0.152849i	−0.0108905	+	0.999941i	$0.503467\pi$
$410$	−4.43678	−	9.71518i	−0.219117	−	0.479799i
$411$	−4.71172	+	21.7220i	−0.232412	+	1.07147i
$412$	4.26388	−	6.63473i	0.210066	−	0.326870i
$413$	−1.34973			−0.0664160
$414$	−9.14752	−	11.1051i	−0.449576	−	0.545785i
$415$	−30.8555			−1.51464
$416$	2.80984	−	4.37220i	0.137764	−	0.214365i
$417$	0.166627	−	0.768185i	0.00815975	−	0.0376182i
$418$	18.9538	+	41.5030i	0.927060	+	2.02998i
$419$	21.5625	+	6.33134i	1.05340	+	0.309306i	0.762190	−	0.647353i	$-0.224124\pi$
$419$	21.5625	+	6.33134i	1.05340	+	0.309306i	0.291209	+	0.956659i	$0.405942\pi$
$420$	3.62847	+	3.62413i	0.177051	+	0.176840i
$421$	−22.2445	−	19.2750i	−1.08413	−	0.939405i	−0.0857515	−	0.996317i	$-0.527329\pi$
$421$	−22.2445	−	19.2750i	−1.08413	−	0.939405i	−0.998379	+	0.0569120i	$0.981875\pi$
$422$	−22.4725	−	3.23105i	−1.09394	−	0.157285i
$423$	−2.64966	+	5.82038i	−0.128831	+	0.282997i
$424$	−2.37706	+	2.05973i	−0.115440	+	0.100029i
$425$	4.00403	−	2.57323i	0.194224	−	0.124820i
$426$	−14.2835	+	3.11615i	−0.692039	+	0.150978i
$427$	3.16934	+	3.65761i	0.153375	+	0.177004i
$428$	−5.51010	+	1.61791i	−0.266341	+	0.0782046i
$429$	−28.2993	+	51.9001i	−1.36630	+	2.50576i
$430$	14.8642	−	17.1541i	0.716813	−	0.827247i
$431$	−14.3526	+	31.4277i	−0.691338	+	1.51382i	0.158829	+	0.987306i	$0.449228\pi$
$431$	−14.3526	+	31.4277i	−0.691338	+	1.51382i	−0.850167	+	0.526513i	$0.823499\pi$
$432$	−1.11364	−	5.07541i	−0.0535800	−	0.244191i
$433$	−20.1430	+	9.19899i	−0.968010	+	0.442075i	−0.835732	−	0.549138i	$-0.814956\pi$
$433$	−20.1430	+	9.19899i	−0.968010	+	0.442075i	−0.132278	+	0.991213i	$0.542229\pi$
$434$	0.644218	+	4.48063i	0.0309235	+	0.215077i
$435$	−13.4163	+	10.0558i	−0.643261	+	0.482141i
$436$			8.89709i			0.426093i
$437$	−17.2756	−	28.4931i	−0.826402	−	1.36301i
$438$	−7.20285	+	19.3469i	−0.344165	+	0.924433i
$439$	−24.3043	−	15.6194i	−1.15998	−	0.745473i	−0.188377	−	0.982097i	$-0.560323\pi$
$439$	−24.3043	−	15.6194i	−1.15998	−	0.745473i	−0.971601	+	0.236624i	$0.923959\pi$
$440$	19.2456	−	2.76710i	0.917500	−	0.131917i
$441$	0.841750	−	2.87949i	0.0400834	−	0.137119i
$442$	−1.85019	+	6.30117i	−0.0880046	+	0.299716i
$443$	13.2356	+	6.04448i	0.628841	+	0.287182i	0.704230	−	0.709972i	$-0.251293\pi$
$443$	13.2356	+	6.04448i	0.628841	+	0.287182i	−0.0753888	+	0.997154i	$0.524020\pi$
$444$	5.00041	+	9.14456i	0.237309	+	0.433981i
$445$	−7.24326	+	50.3780i	−0.343363	+	2.38815i
$446$	−3.33826	−	11.3691i	−0.158071	−	0.538341i
$447$	−5.60310	−	14.9951i	−0.265018	−	0.709242i
$448$	0.540641	+	0.841254i	0.0255429	+	0.0397455i
$449$	7.98577	+	12.4261i	0.376872	+	0.586424i	0.976937	−	0.213527i	$-0.0684951\pi$
$449$	7.98577	+	12.4261i	0.376872	+	0.586424i	−0.600065	+	0.799951i	$0.704859\pi$
$450$	−11.3002	+	0.0135303i	−0.532694	+	0.000637827i
$451$	6.67361	+	22.7282i	0.314248	+	1.07023i
$452$	−2.88326	+	20.0535i	−0.135617	+	0.943238i
$453$	27.1304	−	14.8354i	1.27470	−	0.697029i
$454$	−13.1049	−	5.98482i	−0.615045	−	0.280882i
$455$	−4.33540	+	14.7650i	−0.203246	+	0.692194i
$456$	−0.865697	−	12.0030i	−0.0405400	−	0.562094i
$457$	22.0828	−	3.17503i	1.03299	−	0.148522i	0.395092	−	0.918642i	$-0.370713\pi$
$457$	22.0828	−	3.17503i	1.03299	−	0.148522i	0.637899	+	0.770120i	$0.279804\pi$
$458$	2.45538	+	1.57798i	0.114732	+	0.0737340i
$459$	3.15700	+	5.75702i	0.147356	+	0.268714i
$460$	−13.7246	+	3.64286i	−0.639912	+	0.169849i
$461$			37.3153i			1.73794i	0.494861	+	0.868972i	$0.335219\pi$
$461$			37.3153i			1.73794i	−0.494861	+	0.868972i	$0.664781\pi$
$462$	−6.82170	−	9.10136i	−0.317374	−	0.423434i
$463$	−2.14628	−	14.9277i	−0.0997460	−	0.693749i	−0.976925	−	0.213585i	$-0.931486\pi$
$463$	−2.14628	−	14.9277i	−0.0997460	−	0.693749i	0.877179	−	0.480164i	$-0.159423\pi$
$464$	−2.97392	+	1.35815i	−0.138061	+	0.0630503i
$465$	−18.5926	−	13.9009i	−0.862211	−	0.644638i
$466$	−2.92742	+	6.41016i	−0.135610	+	0.296945i
$467$	1.92527	−	2.22188i	0.0890910	−	0.102817i	−0.709454	−	0.704752i	$-0.751058\pi$
$467$	1.92527	−	2.22188i	0.0890910	−	0.102817i	0.798545	+	0.601936i	$0.205604\pi$
$468$	11.7712	−	10.2245i	0.544124	−	0.472628i
$469$	13.6142	−	3.99749i	0.628645	−	0.184587i
$470$	4.13328	+	4.77006i	0.190654	+	0.220027i
$471$	3.28364	+	15.0513i	0.151302	+	0.693526i
$472$	1.13547	−	0.729720i	0.0522641	−	0.0335881i
$473$	−38.0459	+	32.9669i	−1.74935	+	1.51582i
$474$	10.9426	+	0.776048i	0.502612	+	0.0356451i
$475$	−25.9046	−	3.72452i	−1.18859	−	0.170893i
$476$	−0.954959	−	0.827476i	−0.0437705	−	0.0379273i
$477$	−8.57849	+	3.93008i	−0.392782	+	0.179946i
$478$	16.0129	+	4.70181i	0.732412	+	0.215056i
$479$	−0.366429	−	0.802367i	−0.0167425	−	0.0366611i	0.901076	−	0.433661i	$-0.142779\pi$
$479$	−0.366429	−	0.802367i	−0.0167425	−	0.0366611i	−0.917819	+	0.397000i	$0.870051\pi$
$480$	−5.01182	−	1.08711i	−0.228757	−	0.0496197i
$481$	−16.9079	+	26.3092i	−0.770935	+	1.19960i
$482$	−10.6189			−0.483678
$483$	5.72166	+	6.02185i	0.260344	+	0.274004i
$484$	−32.1235			−1.46016
$485$	6.82106	−	10.6138i	0.309728	−	0.481946i
$486$	1.06552	−	15.5520i	0.0483329	−	0.705453i
$487$	−4.81590	−	10.5454i	−0.218229	−	0.477855i	0.768578	−	0.639756i	$-0.220965\pi$
$487$	−4.81590	−	10.5454i	−0.218229	−	0.477855i	−0.986807	+	0.161901i	$0.948237\pi$
$488$	−4.64368	−	1.36351i	−0.210209	−	0.0617230i
$489$	11.7057	−	11.7197i	0.529349	−	0.529983i
$490$	−2.23767	−	1.93895i	−0.101088	−	0.0875930i
$491$	0.683285	+	0.0982415i	0.0308362	+	0.00443358i	0.157716	−	0.987485i	$-0.449587\pi$
$491$	0.683285	+	0.0982415i	0.0308362	+	0.00443358i	−0.126879	+	0.991918i	$0.540496\pi$
$492$	0.441982	−	6.23215i	0.0199261	−	0.280967i
$493$	3.12211	−	2.70533i	0.140613	−	0.121842i
$494$	30.3779	−	19.5227i	1.36676	−	0.878366i
$495$	57.7468	+	8.23218i	2.59553	+	0.370009i
$496$	−2.96436	−	3.42106i	−0.133104	−	0.153610i
$497$	8.09866	−	2.37798i	0.363275	−	0.106667i
$498$	−15.8472	−	8.64090i	−0.710129	−	0.387208i
$499$	2.72844	−	3.14879i	0.122142	−	0.140959i	−0.691385	−	0.722486i	$-0.742999\pi$
$499$	2.72844	−	3.14879i	0.122142	−	0.140959i	0.813527	+	0.581527i	$0.197545\pi$
$500$	1.51692	−	3.32159i	0.0678387	−	0.148546i
$501$	18.1174	−	24.2323i	0.809427	−	1.08262i
$502$	−12.6026	+	5.75542i	−0.562482	+	0.256877i
$503$	−5.57503	−	38.7752i	−0.248578	−	1.72890i	−0.606443	−	0.795127i	$-0.707404\pi$
$503$	−5.57503	−	38.7752i	−0.248578	−	1.72890i	0.357865	−	0.933773i	$-0.383505\pi$
$504$	0.848644	+	2.87746i	0.0378016	+	0.128172i
$505$			14.9930i			0.667179i
$506$	31.2795	−	3.66521i	1.39054	−	0.162938i
$507$	22.7433	+	8.46731i	1.01007	+	0.376046i
$508$	4.83929	+	3.11002i	0.214709	+	0.137985i
$509$	7.73854	−	1.11263i	0.343005	−	0.0493166i	0.0313400	−	0.999509i	$-0.490023\pi$
$509$	7.73854	−	1.11263i	0.343005	−	0.0493166i	0.311665	+	0.950192i	$0.399113\pi$
$510$	6.46337	−	0.466159i	0.286203	−	0.0206419i
$511$	3.35796	−	11.4362i	0.148547	−	0.505906i
$512$	−0.909632	−	0.415415i	−0.0402004	−	0.0183589i
$513$	7.61080	−	35.2913i	0.336025	−	1.55815i
$514$	1.86020	−	12.9380i	0.0820499	−	0.570670i
$515$	−6.57888	−	22.4056i	−0.289900	−	0.987309i
$516$	12.4381	−	4.64764i	0.547555	−	0.204601i
$517$	−7.56821	−	11.7764i	−0.332850	−	0.517924i
$518$	−3.25325	−	5.06215i	−0.142940	−	0.222418i
$519$	−10.6595	+	3.98307i	−0.467902	+	0.174837i
$520$	−4.33540	−	14.7650i	−0.190120	−	0.647488i
$521$	−0.762182	+	5.30109i	−0.0333918	+	0.232245i	−0.999682	−	0.0252096i	$-0.991975\pi$
$521$	−0.762182	+	5.30109i	−0.0333918	+	0.232245i	0.966290	+	0.257455i	$0.0828838\pi$
$522$	−9.70660	+	1.40746i	−0.424846	+	0.0616030i
$523$	−5.13307	−	2.34419i	−0.224453	−	0.102504i	0.300015	−	0.953935i	$-0.403008\pi$
$523$	−5.13307	−	2.34419i	−0.224453	−	0.102504i	−0.524468	+	0.851430i	$0.675736\pi$
$524$	−1.09437	+	3.72708i	−0.0478078	+	0.162818i
$525$	6.50725	−	0.469323i	0.284000	−	0.0204830i
$526$	12.0789	−	1.73669i	0.526666	−	0.0757231i
$527$	4.81189	+	3.09242i	0.209609	+	0.134708i
$528$	10.6593	+	3.96846i	0.463889	+	0.172705i
$529$	−22.3770	+	5.31710i	−0.972911	+	0.231178i
$530$			9.31280i			0.404522i
$531$	3.88381	−	1.14544i	0.168543	−	0.0497079i
$532$	0.988797	+	6.87724i	0.0428698	+	0.298166i
$533$	17.0532	−	7.78793i	0.738655	−	0.337333i
$534$	−17.8282	+	23.8454i	−0.771500	+	1.03189i
$535$	−7.06347	+	15.4668i	−0.305380	+	0.668690i
$536$	−9.29179	+	10.7233i	−0.401344	+	0.463176i
$537$	−14.2862	−	7.78975i	−0.616494	−	0.336152i
$538$	18.2001	−	5.34402i	0.784661	−	0.230397i
$539$	4.30037	+	4.96289i	0.185230	+	0.213767i
$540$	−13.5164	−	7.34903i	−0.581653	−	0.316252i
$541$	−29.5003	+	18.9587i	−1.26832	+	0.815097i	−0.989400	−	0.145219i	$-0.953611\pi$
$541$	−29.5003	+	18.9587i	−1.26832	+	0.815097i	−0.278915	+	0.960316i	$0.589975\pi$
$542$	14.4850	−	12.5513i	0.622184	−	0.539126i
$543$	1.19942	−	16.9123i	0.0514719	−	0.725778i
$544$	1.25073	+	0.179828i	0.0536246	+	0.00771005i
$545$	19.9088	+	17.2511i	0.852798	+	0.738954i
$546$	−6.36149	+	6.36911i	−0.272246	+	0.272573i
$547$	−13.1317	−	3.85582i	−0.561471	−	0.164863i	−0.0113321	−	0.999936i	$-0.503607\pi$
$547$	−13.1317	−	3.85582i	−0.561471	−	0.164863i	−0.550139	+	0.835073i	$0.685425\pi$
$548$	5.33096	+	11.6732i	0.227727	+	0.498653i
$549$	−12.2237	−	7.83502i	−0.521694	−	0.334390i
$550$	13.3730	−	20.8088i	0.570227	−	0.887290i
$551$	−22.7154			−0.967710
$552$	−8.06902	−	1.97254i	−0.343440	−	0.0839569i
$553$	−6.33360			−0.269332
$554$	6.70244	−	10.4292i	0.284759	−	0.443094i
$555$	30.1581	+	6.54159i	1.28014	+	0.277675i
$556$	−0.188526	−	0.412814i	−0.00799528	−	0.0175072i
$557$	3.85929	+	1.13319i	0.163523	+	0.0480148i	0.362470	−	0.931996i	$-0.381934\pi$
$557$	3.85929	+	1.13319i	0.163523	+	0.0480148i	−0.198946	+	0.980010i	$0.563752\pi$
$558$	−5.65618	−	12.3462i	−0.239445	−	0.522654i
$559$	30.1109	+	26.0912i	1.27356	+	1.10354i
$560$	2.93073	+	0.421375i	0.123846	+	0.0178063i
$561$	−14.3362	−	1.01672i	−0.605276	−	0.0429260i
$562$	6.98644	−	6.05379i	0.294705	−	0.255364i
$563$	17.9662	−	11.5462i	0.757185	−	0.486613i	−0.104206	−	0.994556i	$-0.533230\pi$
$563$	17.9662	−	11.5462i	0.757185	−	0.486613i	0.861391	+	0.507942i	$0.169594\pi$
$564$	0.786999	+	3.60738i	0.0331386	+	0.151898i
$565$	39.2827	+	45.3346i	1.65263	+	1.90724i
$566$	−9.20974	+	2.70423i	−0.387114	+	0.113667i
$567$	0.0215524	+	8.99997i	0.000905117	+	0.377963i
$568$	−5.52740	+	6.37895i	−0.231924	+	0.267655i
$569$	14.6291	−	32.0332i	0.613284	−	1.34290i	−0.307022	−	0.951703i	$-0.599332\pi$
$569$	14.6291	−	32.0332i	0.613284	−	1.34290i	0.920305	−	0.391201i	$-0.127940\pi$
$570$	−28.5374	−	21.3362i	−1.19530	−	0.893675i
$571$	34.2933	−	15.6612i	1.43513	−	0.655401i	0.462257	−	0.886746i	$-0.347040\pi$
$571$	34.2933	−	15.6612i	1.43513	−	0.655401i	0.972872	+	0.231345i	$0.0743125\pi$
$572$	4.85713	+	33.7821i	0.203087	+	1.41250i
$573$	1.27900	+	1.70642i	0.0534312	+	0.0712867i
$574$			3.60717i			0.150560i
$575$	−7.93146	+	16.2302i	−0.330765	+	0.676847i
$576$	−2.26960	−	1.96187i	−0.0945666	−	0.0817444i
$577$	−14.1221	−	9.07573i	−0.587911	−	0.377828i	0.212605	−	0.977138i	$-0.431805\pi$
$577$	−14.1221	−	9.07573i	−0.587911	−	0.377828i	−0.800517	+	0.599311i	$0.795441\pi$
$578$	15.2466	−	2.19212i	0.634173	−	0.0911803i
$579$	−0.597868	−	8.28955i	−0.0248466	−	0.344502i
$580$	−2.72722	+	9.28805i	−0.113241	+	0.385665i
$581$	9.47937	+	4.32908i	0.393271	+	0.179601i
$582$	6.47558	−	3.54097i	0.268421	−	0.146778i
$583$	2.93947	−	20.4444i	0.121740	−	0.846722i
$584$	3.35796	+	11.4362i	0.138953	+	0.473232i
$585$	−0.0552761	−	46.1650i	−0.00228538	−	1.90869i
$586$	−16.4709	−	25.6292i	−0.680407	−	1.05873i
$587$	−8.67285	−	13.4952i	−0.357967	−	0.557007i	0.614832	−	0.788658i	$-0.289224\pi$
$587$	−8.67285	−	13.4952i	−0.357967	−	0.557007i	−0.972799	+	0.231651i	$0.925587\pi$
$588$	−0.606261	−	1.62248i	−0.0250018	−	0.0669100i
$589$	−8.86088	−	30.1774i	−0.365106	−	1.24344i
$590$	0.568744	−	3.95570i	0.0234148	−	0.162854i
$591$	8.89736	+	16.2711i	0.365988	+	0.669305i
$592$	5.47361	+	2.49972i	0.224964	+	0.102738i
$593$	−3.06746	+	10.4468i	−0.125965	+	0.428999i	−0.998192	−	0.0601029i	$-0.980857\pi$
$593$	−3.06746	+	10.4468i	−0.125965	+	0.428999i	0.872227	+	0.489102i	$0.162675\pi$
$594$	27.3530	+	20.3997i	1.12231	+	0.837008i
$595$	−3.70324	+	0.532446i	−0.151818	+	0.0218281i
$596$	−7.77491	−	4.99663i	−0.318473	−	0.204670i
$597$	−14.1184	+	37.9223i	−0.577829	+	1.55206i
$598$	−6.39436	−	24.0909i	−0.261485	−	0.985151i
$599$		−	45.1294i		−	1.84394i	−0.387264	−	0.921969i	$-0.626580\pi$
$599$		−	45.1294i		−	1.84394i	0.387264	−	0.921969i	$-0.373420\pi$
$600$	−5.22051	+	3.91290i	−0.213126	+	0.159744i
$601$	4.82471	+	33.5566i	0.196804	+	1.36880i	0.813484	+	0.581587i	$0.197568\pi$
$601$	4.82471	+	33.5566i	0.196804	+	1.36880i	−0.616680	+	0.787214i	$0.711523\pi$
$602$	−6.97330	+	3.18460i	−0.284211	+	0.129795i
$603$	−35.7819	+	23.0562i	−1.45715	+	0.938923i
$604$	7.41625	−	16.2393i	0.301763	−	0.660769i
$605$	−62.2859	+	71.8818i	−2.53228	+	2.92241i
$606$	−4.19870	+	7.70030i	−0.170560	+	0.312803i
$607$	−4.62604	+	1.35833i	−0.187765	+	0.0551328i	−0.374263	−	0.927323i	$-0.622104\pi$
$607$	−4.62604	+	1.35833i	−0.187765	+	0.0551328i	0.186498	+	0.982455i	$0.440286\pi$
$608$	−4.54994	−	5.25092i	−0.184525	−	0.212953i
$609$	5.53258	−	1.20701i	0.224192	−	0.0489105i
$610$	−12.0550	+	7.74725i	−0.488091	+	0.313677i
$611$	−8.37295	+	7.25520i	−0.338733	+	0.293514i
$612$	3.45009	+	1.57061i	0.139462	+	0.0634883i
$613$	−27.0100	−	3.88346i	−1.09093	−	0.156851i	−0.426707	−	0.904390i	$-0.640326\pi$
$613$	−27.0100	−	3.88346i	−1.09093	−	0.156851i	−0.664218	+	0.747539i	$0.731235\pi$
$614$	−15.6346	−	13.5474i	−0.630960	−	0.546730i
$615$	−13.0885	−	13.0729i	−0.527780	−	0.527149i
$616$	−6.30084	−	1.85009i	−0.253868	−	0.0745424i
$617$	−7.46023	−	16.3356i	−0.300338	−	0.657648i	0.697950	−	0.716147i	$-0.254096\pi$
$617$	−7.46023	−	16.3356i	−0.300338	−	0.657648i	−0.998287	+	0.0584990i	$0.981369\pi$
$618$	2.89569	−	13.3498i	0.116482	−	0.537006i
$619$	−17.6962	+	27.5359i	−0.711271	+	1.10676i	0.277987	+	0.960585i	$0.410333\pi$
$619$	−17.6962	+	27.5359i	−0.711271	+	1.10676i	−0.989259	+	0.146175i	$0.953304\pi$
$620$	−13.4030			−0.538276
$621$	−21.5743	−	12.4720i	−0.865746	−	0.500484i
$622$	7.31272			0.293213
$623$	9.29339	−	14.4608i	0.372332	−	0.579360i
$624$	1.90822	−	8.79731i	0.0763901	−	0.352174i
$625$	−12.3152	−	26.9664i	−0.492606	−	1.07866i
$626$	6.69855	+	1.96687i	0.267728	+	0.0786120i
$627$	55.9139	+	55.8469i	2.23298	+	2.23031i
$628$	6.72183	+	5.82450i	0.268230	+	0.232423i
$629$	−7.52613	−	1.08209i	−0.300087	−	0.0431459i
$630$	8.08430	+	3.68029i	0.322086	+	0.146626i
$631$	−36.5469	+	31.6680i	−1.45491	+	1.26068i	−0.549941	+	0.835204i	$0.685350\pi$
$631$	−36.5469	+	31.6680i	−1.45491	+	1.26068i	−0.904967	+	0.425481i	$0.860105\pi$
$632$	5.32816	−	3.42420i	0.211943	−	0.136207i
$633$	−38.4200	+	8.38185i	−1.52706	+	0.333149i
$634$	−1.82416	−	2.10520i	−0.0724468	−	0.0836081i
$635$	16.3424	−	4.79855i	0.648527	−	0.190425i
$636$	−2.60800	+	4.78299i	−0.103414	+	0.189658i
$637$	3.40347	−	3.92781i	0.134850	−	0.155626i
$638$	8.91873	−	19.5293i	0.353096	−	0.773172i
$639$	−21.2856	+	13.7154i	−0.842044	+	0.542574i
$640$	−2.69330	+	1.22999i	−0.106462	+	0.0486195i
$641$	−3.17808	−	22.1040i	−0.125527	−	0.873056i	−0.951127	−	0.308801i	$-0.900072\pi$
$641$	−3.17808	−	22.1040i	−0.125527	−	0.873056i	0.825600	−	0.564256i	$-0.190837\pi$
$642$	−7.95916	+	5.96559i	−0.314123	+	0.235443i
$643$		−	34.7172i		−	1.36911i	−0.728960	−	0.684557i	$-0.759996\pi$
$643$		−	34.7172i		−	1.36911i	0.728960	−	0.684557i	$-0.240004\pi$
$644$	4.72754	+	0.806431i	0.186291	+	0.0317778i
$645$	13.7169	−	36.8439i	0.540103	−	1.45073i
$646$	7.38568	+	4.74649i	0.290586	+	0.186748i
$647$	−3.05071	+	0.438626i	−0.119936	+	0.0172442i	−0.202021	−	0.979381i	$-0.564751\pi$
$647$	−3.05071	+	0.438626i	−0.119936	+	0.0172442i	0.0820855	+	0.996625i	$0.473842\pi$
$648$	−4.88388	−	7.55961i	−0.191857	−	0.296969i
$649$	−2.49713	+	8.50445i	−0.0980210	+	0.333829i
$650$	−17.8075	−	8.13240i	−0.698466	−	0.318979i
$651$	3.76167	+	6.87918i	0.147431	+	0.269616i
$652$	1.36101	−	9.46603i	0.0533012	−	0.370718i
$653$	4.87399	+	16.5993i	0.190734	+	0.649580i	0.998217	+	0.0596891i	$0.0190109\pi$
$653$	4.87399	+	16.5993i	0.190734	+	0.649580i	−0.807483	+	0.589891i	$0.799171\pi$
$654$	5.39396	+	14.4354i	0.210921	+	0.564468i
$655$	6.21805	+	9.67548i	0.242959	+	0.378052i
$656$	−1.95018	−	3.03454i	−0.0761419	−	0.118479i
$657$	0.0428138	+	35.7569i	0.00167033	+	1.39501i
$658$	−0.600571	−	2.04536i	−0.0234127	−	0.0797364i
$659$	−5.84952	+	40.6843i	−0.227865	+	1.58484i	0.479211	+	0.877700i	$0.340923\pi$
$659$	−5.84952	+	40.6843i	−0.227865	+	1.58484i	−0.707076	+	0.707137i	$0.749986\pi$
$660$	29.5481	−	16.1575i	1.15016	−	0.628928i
$661$	37.3542	+	17.0591i	1.45291	+	0.663521i	0.976464	−	0.215683i	$-0.0691976\pi$
$661$	37.3542	+	17.0591i	1.45291	+	0.663521i	0.476446	+	0.879204i	$0.341925\pi$
$662$	3.91409	−	13.3302i	0.152126	−	0.518092i
$663$	0.818255	+	11.3452i	0.0317784	+	0.440613i
$664$	−10.3150	+	1.48308i	−0.400301	+	0.0575546i
$665$	17.3062	+	11.1220i	0.671107	+	0.431294i
$666$	13.6571	+	11.8053i	0.529201	+	0.457447i
$667$	−4.80931	+	14.9235i	−0.186217	+	0.577842i
$668$		−	17.4685i		−	0.675877i
$669$	−12.3089	−	16.4222i	−0.475889	−	0.634921i
$670$	5.97887	+	41.5840i	0.230984	+	1.60653i
$671$	28.9096	−	13.2026i	1.11604	−	0.509680i
$672$	1.38720	+	1.03715i	0.0535124	+	0.0400089i
$673$	−10.7255	+	23.4855i	−0.413436	+	0.905299i	0.582293	+	0.812979i	$0.302155\pi$
$673$	−10.7255	+	23.4855i	−0.413436	+	0.905299i	−0.995729	+	0.0923198i	$0.970572\pi$
$674$	9.65270	−	11.1398i	0.371808	−	0.429089i
$675$	−18.3261	+	6.87280i	−0.705372	+	0.264534i
$676$	13.4438	−	3.94745i	0.517069	−	0.151825i
$677$	−9.60094	−	11.0801i	−0.368994	−	0.425842i	0.540639	−	0.841255i	$-0.318183\pi$
$677$	−9.60094	−	11.0801i	−0.368994	−	0.425842i	−0.909633	+	0.415413i	$0.863637\pi$
$678$	7.47963	+	34.2845i	0.287253	+	1.31669i
$679$	−3.58469	+	2.30374i	−0.137568	+	0.0884093i
$680$	2.82750	−	2.45005i	0.108430	−	0.0939550i
$681$	−24.8909	−	1.76525i	−0.953821	−	0.0676447i
$682$	29.4236	+	4.23048i	1.12669	+	0.161993i
$683$	19.7405	+	17.1052i	0.755349	+	0.654514i	0.944901	−	0.327357i	$-0.106158\pi$
$683$	19.7405	+	17.1052i	0.755349	+	0.654514i	−0.189552	+	0.981871i	$0.560703\pi$
$684$	−8.68155	−	18.9499i	−0.331947	−	0.724566i
$685$	36.4572	+	10.7048i	1.39296	+	0.409010i
$686$	0.415415	+	0.909632i	0.0158606	+	0.0347299i
$687$	4.94048	+	1.07164i	0.188491	+	0.0408855i
$688$	4.14459	−	6.44911i	0.158011	−	0.245870i
$689$	−16.3469			−0.622766
$690$	−20.0594	+	14.2312i	−0.763647	+	0.541771i
$691$	−2.65111			−0.100853			−0.0504265	−	0.998728i	$-0.516058\pi$
$691$	−2.65111			−0.100853			−0.0504265	+	0.998728i	$0.516058\pi$
$692$	−3.55195	+	5.52695i	−0.135025	+	0.210103i
$693$	−16.5859	−	10.6311i	−0.630046	−	0.403841i
$694$	0.974459	+	2.13377i	0.0369899	+	0.0809967i
$695$	−1.28929	−	0.378568i	−0.0489054	−	0.0143599i
$696$	−4.00175	+	4.00654i	−0.151686	+	0.151867i
$697$	3.44470	+	2.98485i	0.130477	+	0.113059i
$698$	−19.9039	−	2.86174i	−0.753372	−	0.108319i
$699$	−0.863459	+	12.1752i	−0.0326590	+	0.460507i
$700$	2.84670	−	2.46668i	0.107595	−	0.0932316i
$701$	−11.1888	+	7.19062i	−0.422596	+	0.271586i	−0.734607	−	0.678492i	$-0.762634\pi$
$701$	−11.1888	+	7.19062i	−0.422596	+	0.271586i	0.312011	+	0.950078i	$0.398997\pi$
$702$	12.8998	−	23.7255i	0.486873	−	0.895462i
$703$	27.3788	+	31.5968i	1.03261	+	1.19170i
$704$	6.30084	−	1.85009i	0.237472	−	0.0697281i
$705$	9.59808	+	5.23349i	0.361485	+	0.197105i
$706$	10.6993	−	12.3476i	0.402672	−	0.464708i
$707$	2.10354	−	4.60612i	0.0791119	−	0.173231i
$708$	1.39987	−	1.87235i	0.0526105	−	0.0703671i
$709$	−43.4625	+	19.8487i	−1.63227	+	0.745432i	−0.999580	−	0.0289750i	$-0.990776\pi$
$709$	−43.4625	+	19.8487i	−1.63227	+	0.745432i	−0.632688	+	0.774407i	$0.718048\pi$
$710$	3.55664	+	24.7370i	0.133478	+	0.928363i
$711$	18.2247	−	5.37497i	0.683480	−	0.201577i
$712$			17.1896i			0.644207i
$713$	−21.7019	−	0.567753i	−0.812743	−	0.0212625i
$714$	−2.05107	−	0.763611i	−0.0767594	−	0.0285774i
$715$	85.0110	+	54.6333i	3.17923	+	2.04317i
$716$	−9.29897	+	1.33699i	−0.347519	+	0.0499657i
$717$	28.8311	−	2.07939i	1.07672	−	0.0776564i
$718$	−1.83838	+	6.26094i	−0.0686077	+	0.233656i
$719$	18.1511	+	8.28933i	0.676922	+	0.309140i	0.724048	−	0.689749i	$-0.242279\pi$
$719$	18.1511	+	8.28933i	0.676922	+	0.309140i	−0.0471268	+	0.998889i	$0.515006\pi$
$720$	−8.79066	+	1.27465i	−0.327609	+	0.0475035i
$721$	−1.12240	+	7.80644i	−0.0418003	+	0.290727i
$722$	−8.24747	−	28.0883i	−0.306939	−	1.04534i
$723$	−17.2290	+	6.43783i	−0.640753	+	0.239426i
$724$	−5.29226	−	8.23492i	−0.196685	−	0.306048i
$725$	6.65788	+	10.3599i	0.247268	+	0.384756i
$726$	−52.1197	+	19.4752i	−1.93434	+	0.722793i
$727$	1.40894	+	4.79841i	0.0522547	+	0.177963i	0.981485	−	0.191537i	$-0.0613472\pi$
$727$	1.40894	+	4.79841i	0.0522547	+	0.177963i	−0.929231	+	0.369500i	$0.879529\pi$
$728$	−0.739645	+	5.14434i	−0.0274131	+	0.190662i
$729$	−7.69979	−	25.8788i	−0.285177	−	0.958475i
$730$	32.1013	+	14.6602i	1.18812	+	0.542598i
$731$	−2.72908	+	9.29439i	−0.100939	+	0.343766i
$732$	−8.36092	+	0.603016i	−0.309028	+	0.0222881i
$733$	12.5944	−	1.81080i	0.465183	−	0.0668833i	0.0942617	−	0.995547i	$-0.469951\pi$
$733$	12.5944	−	1.81080i	0.465183	−	0.0668833i	0.370922	+	0.928664i	$0.379042\pi$
$734$	−21.1495	−	13.5920i	−0.780644	−	0.501689i
$735$	−4.80610	−	1.78930i	−0.177275	−	0.0659995i
$736$	−4.41305	+	1.87749i	−0.162667	+	0.0692052i
$737$		−	93.1767i		−	3.43221i
$738$	−3.06120	−	10.3795i	−0.112684	−	0.382075i
$739$	−5.89164	−	40.9773i	−0.216727	−	1.50737i	−0.750005	−	0.661432i	$-0.769949\pi$
$739$	−5.89164	−	40.9773i	−0.216727	−	1.50737i	0.533277	−	0.845940i	$-0.320960\pi$
$740$	16.2066	−	7.40132i	0.595768	−	0.272078i
$741$	37.4517	−	50.0921i	1.37582	−	1.84018i
$742$	1.30660	−	2.86106i	0.0479669	−	0.105033i
$743$	−27.6702	+	31.9331i	−1.01512	+	1.17151i	−0.0300165	+	0.999549i	$0.509556\pi$
$743$	−27.6702	+	31.9331i	−1.01512	+	1.17151i	−0.985104	+	0.171962i	$0.944989\pi$
$744$	−6.88368	−	3.75343i	−0.252368	−	0.137607i
$745$	−26.2560	+	7.70946i	−0.961946	+	0.282453i
$746$	23.1535	+	26.7206i	0.847710	+	0.978309i
$747$	−30.9504	−	4.41218i	−1.13242	−	0.161433i
$748$	−6.98056	+	4.48613i	−0.255235	+	0.164029i
$749$	4.34006	−	3.76068i	0.158582	−	0.137412i
$750$	0.447423	−	6.30887i	0.0163376	−	0.230367i
$751$	27.8159	+	3.99933i	1.01502	+	0.145938i	0.629694	−	0.776843i	$-0.283180\pi$
$751$	27.8159	+	3.99933i	1.01502	+	0.145938i	0.385325	+	0.922781i	$0.374089\pi$
$752$	1.61104	+	1.39597i	0.0587485	+	0.0509058i
$753$	−16.9582	+	16.9785i	−0.617991	+	0.618732i
$754$	−16.3034	−	4.78712i	−0.593736	−	0.174337i
$755$	−21.9585	−	48.0824i	−0.799152	−	1.74990i
$756$	3.12140	+	4.15413i	0.113524	+	0.151084i
$757$	9.16268	−	14.2574i	0.333023	−	0.518194i	−0.633848	−	0.773457i	$-0.718526\pi$
$757$	9.16268	−	14.2574i	0.333023	−	0.518194i	0.966872	+	0.255263i	$0.0821621\pi$
$758$	33.6448			1.22203
$759$	48.5283	−	24.9103i	1.76147	−	0.904185i
$760$	−20.5720			−0.746223
$761$	−12.3483	+	19.2143i	−0.447626	+	0.696519i	−0.989595	−	0.143879i	$-0.954042\pi$
$761$	−12.3483	+	19.2143i	−0.447626	+	0.696519i	0.541969	+	0.840398i	$0.317679\pi$
$762$	9.73714	+	2.11208i	0.352739	+	0.0765126i
$763$	−3.69599	−	8.09308i	−0.133804	−	0.292989i
$764$	1.18135	+	0.346875i	0.0427397	+	0.0125495i
$765$	10.2041	−	4.67483i	0.368930	−	0.169019i
$766$	7.88515	+	6.83252i	0.284902	+	0.246869i
$767$	6.94349	+	0.998323i	0.250715	+	0.0360473i
$768$	−1.72771	−	0.122529i	−0.0623434	−	0.00442138i
$769$	−15.2475	+	13.2120i	−0.549839	+	0.476438i	−0.884915	−	0.465753i	$-0.845783\pi$
$769$	−15.2475	+	13.2120i	−0.549839	+	0.476438i	0.335076	+	0.942191i	$0.391238\pi$
$770$	−16.3569	+	10.5120i	−0.589464	+	0.378825i
$771$	−4.82565	−	22.1194i	−0.173792	−	0.796611i
$772$	−3.14229	−	3.62639i	−0.113093	−	0.130517i
$773$	−18.8142	+	5.52435i	−0.676699	+	0.198697i	−0.601984	−	0.798508i	$-0.705623\pi$
$773$	−18.8142	+	5.52435i	−0.676699	+	0.198697i	−0.0747153	+	0.997205i	$0.523805\pi$
$774$	17.3628	−	15.0814i	0.624094	−	0.542091i
$775$	−11.1659	+	12.8862i	−0.401092	+	0.462885i
$776$	1.77013	−	3.87605i	0.0635441	−	0.139142i
$777$	−8.34732	−	6.24093i	−0.299459	−	0.223892i
$778$	12.5422	−	5.72783i	0.449660	−	0.205353i
$779$	−3.56676	−	24.8074i	−0.127792	−	0.888816i
$780$	−15.9855	−	21.3276i	−0.572374	−	0.763649i
$781$		−	55.4279i		−	1.98337i
$782$	4.68204	−	3.84731i	0.167429	−	0.137579i
$783$	−14.8955	+	8.16832i	−0.532321	+	0.291912i
$784$	−0.841254	−	0.540641i	−0.0300448	−	0.0193086i
$785$	26.0666	−	3.74782i	0.930358	−	0.133765i
$786$	0.483989	+	6.71060i	0.0172633	+	0.239359i
$787$	5.38331	−	18.3339i	0.191894	−	0.653532i	−0.806190	−	0.591657i	$-0.798474\pi$
$787$	5.38331	−	18.3339i	0.191894	−	0.653532i	0.998084	−	0.0618745i	$-0.0197079\pi$
$788$	9.73933	+	4.44780i	0.346949	+	0.158446i
$789$	18.5449	−	10.1407i	0.660217	−	0.361019i
$790$	2.66882	−	18.5620i	0.0949523	−	0.660408i
$791$	−5.70782	−	19.4391i	−0.202947	−	0.691174i
$792$	19.7005	−	0.0235886i	0.700028	−	0.000838185i
$793$	−13.5988	−	21.1602i	−0.482909	−	0.751421i
$794$	12.5361	+	19.5066i	0.444890	+	0.692262i
$795$	5.64599	+	15.1098i	0.200243	+	0.535891i
$796$	6.58200	+	22.4162i	0.233293	+	0.794523i
$797$	5.13236	−	35.6963i	0.181798	−	1.26443i	−0.670712	−	0.741718i	$-0.734011\pi$
$797$	5.13236	−	35.6963i	0.181798	−	1.26443i	0.852510	−	0.522712i	$-0.175080\pi$
$798$	5.77371	+	10.5587i	0.204387	+	0.373775i
$799$	−2.45019	−	1.11896i	−0.0866815	−	0.0395861i
$800$	−1.06121	+	3.61414i	−0.0375194	+	0.127779i
$801$	−14.4693	+	49.4972i	−0.511249	+	1.74890i
$802$	−10.8678	+	1.56256i	−0.383757	+	0.0551759i
$803$	−65.8449	−	42.3160i	−2.32362	−	1.49330i
$804$	−8.57464	+	23.0316i	−0.302404	+	0.812262i
$805$	10.9710	−	9.01506i	0.386678	−	0.317739i
$806$		−	23.5264i		−	0.828683i
$807$	26.2894	−	19.7046i	0.925431	−	0.693634i
$808$	0.720642	+	5.01218i	0.0253521	+	0.176328i
$809$	−11.0753	+	5.05790i	−0.389385	+	0.177826i	−0.600481	−	0.799639i	$-0.705024\pi$
$809$	−11.0753	+	5.05790i	−0.389385	+	0.177826i	0.211096	+	0.977465i	$0.432297\pi$
$810$	−26.3856	−	3.72920i	−0.927094	−	0.131031i
$811$	−11.8773	+	26.0077i	−0.417069	+	0.913254i	0.578181	+	0.815908i	$0.303763\pi$
$811$	−11.8773	+	26.0077i	−0.417069	+	0.913254i	−0.995251	+	0.0973461i	$0.968965\pi$
$812$	2.14098	−	2.47082i	0.0751337	−	0.0867089i
$813$	15.8923	−	29.1460i	0.557366	−	1.02219i
$814$	−37.9146	+	11.1327i	−1.32891	+	0.390202i
$815$	−18.5429	−	21.3997i	−0.649530	−	0.749598i
$816$	2.13831	−	0.466502i	0.0748558	−	0.0163308i
$817$	44.8081	−	28.7964i	1.56764	−	1.00746i
$818$	8.29212	−	7.18517i	0.289927	−	0.251223i
$819$	−6.46005	+	14.1905i	−0.225733	+	0.495856i
$820$	−10.5716	−	1.51997i	−0.369177	−	0.0530797i
$821$	20.8027	+	18.0257i	0.726020	+	0.629100i	0.937380	−	0.348308i	$-0.113244\pi$
$821$	20.8027	+	18.0257i	0.726020	+	0.629100i	−0.211360	+	0.977408i	$0.567789\pi$
$822$	15.7264	+	15.7076i	0.548521	+	0.547864i
$823$	−0.737746	−	0.216622i	−0.0257162	−	0.00755096i	0.268849	−	0.963182i	$-0.413357\pi$
$823$	−0.737746	−	0.216622i	−0.0257162	−	0.00755096i	−0.294565	+	0.955631i	$0.595175\pi$
$824$	−3.27626	−	7.17401i	−0.114134	−	0.249919i
$825$	9.08189	−	41.8694i	0.316191	−	1.45771i
$826$	−0.729720	+	1.13547i	−0.0253902	+	0.0395080i
$827$	40.1585			1.39645			0.698225	−	0.715879i	$-0.253974\pi$
$827$	40.1585			1.39645			0.698225	+	0.715879i	$0.253974\pi$
$828$	−14.2877	+	1.69152i	−0.496532	+	0.0587845i
$829$	31.1332			1.08130			0.540650	−	0.841247i	$-0.318178\pi$
$829$	31.1332			1.08130			0.540650	+	0.841247i	$0.318178\pi$
$830$	−16.6817	+	25.9573i	−0.579031	+	0.900990i
$831$	4.55177	−	20.9846i	0.157899	−	0.727948i
$832$	−2.15901	−	4.72758i	−0.0748503	−	0.163899i
$833$	1.21241	+	0.355995i	0.0420074	+	0.0123345i
$834$	−0.556153	−	0.555488i	−0.0192580	−	0.0192350i
$835$	−39.0888	−	33.8706i	−1.35272	−	1.17214i
$836$	45.1618	+	6.49328i	1.56195	+	0.224575i
$837$	−16.6620	−	16.6023i	−0.575924	−	0.573859i
$838$	16.9839	−	14.7166i	0.586697	−	0.508376i
$839$	9.71943	−	6.24630i	0.335552	−	0.215646i	−0.362004	−	0.932177i	$-0.617907\pi$
$839$	9.71943	−	6.24630i	0.335552	−	0.215646i	0.697556	+	0.716530i	$0.254271\pi$
$840$	5.01052	−	1.09311i	0.172879	−	0.0377160i
$841$	−11.9913	−	13.8387i	−0.413493	−	0.477197i
$842$	−28.2414	+	8.29243i	−0.973264	+	0.285776i
$843$	7.66520	−	14.0578i	0.264004	−	0.484175i
$844$	−14.8677	+	17.1582i	−0.511766	+	0.590609i
$845$	17.2338	−	37.7367i	0.592860	−	1.29818i
$846$	3.46390	+	5.37578i	0.119091	+	0.184823i
$847$	29.2205	−	13.3446i	1.00403	−	0.458525i
$848$	0.447622	+	3.11328i	0.0153714	+	0.106911i
$849$	−13.3032	+	9.97107i	−0.456564	+	0.342206i
$850$		−	4.75959i		−	0.163253i
$851$	26.5551	−	11.2976i	0.910296	−	0.387277i
$852$	−5.10079	+	13.7008i	−0.174750	+	0.469381i
$853$	29.3303	+	18.8494i	1.00425	+	0.645392i	0.935899	−	0.352269i	$-0.114590\pi$
$853$	29.3303	+	18.8494i	1.00425	+	0.645392i	0.0683514	+	0.997661i	$0.478226\pi$
$854$	4.79046	−	0.688764i	0.163926	−	0.0235690i
$855$	−59.2367	−	17.3165i	−2.02585	−	0.592210i
$856$	−1.61791	+	5.51010i	−0.0552990	+	0.188331i
$857$	21.5107	+	9.82362i	0.734792	+	0.335568i	0.747420	−	0.664352i	$-0.231292\pi$
$857$	21.5107	+	9.82362i	0.734792	+	0.335568i	−0.0126276	+	0.999920i	$0.504020\pi$
$858$	28.3614	+	51.8662i	0.968242	+	1.77068i
$859$	−5.05077	+	35.1289i	−0.172330	+	1.19858i	0.701614	+	0.712557i	$0.252463\pi$
$859$	−5.05077	+	35.1289i	−0.172330	+	1.19858i	−0.873945	+	0.486026i	$0.838446\pi$
$860$	−6.39482	−	21.7788i	−0.218062	−	0.742649i
$861$	2.18689	+	5.85257i	0.0745289	+	0.199455i
$862$	18.6791	+	29.0652i	0.636212	+	0.989966i
$863$	2.67392	+	4.16069i	0.0910211	+	0.141632i	0.883778	−	0.467906i	$-0.154991\pi$
$863$	2.67392	+	4.16069i	0.0910211	+	0.141632i	−0.792757	+	0.609538i	$0.791355\pi$
$864$	−4.87179	−	1.80712i	−0.165742	−	0.0614795i
$865$	5.48042	+	18.6646i	0.186340	+	0.634615i
$866$	−3.15143	+	21.9187i	−0.107090	+	0.744828i
$867$	23.4083	−	12.8001i	0.794986	−	0.434713i
$868$	4.11764	+	1.88046i	0.139762	+	0.0638271i
$869$	−11.7178	+	39.9070i	−0.397497	+	1.35375i
$870$	1.20612	+	16.7231i	0.0408914	+	0.566966i
$871$	−72.9929	+	10.4948i	−2.47327	+	0.355602i
$872$	7.48471	+	4.81013i	0.253464	+	0.162892i
$873$	8.35975	−	9.67104i	0.282935	−	0.327315i
$874$	−33.3098	−	0.871432i	−1.12672	−	0.0294766i
$875$			3.65157i			0.123446i
$876$	12.3815	+	16.5192i	0.418333	+	0.558131i
$877$	1.05040	+	7.30572i	0.0354696	+	0.246696i	0.999841	−	0.0178573i	$-0.00568444\pi$
$877$	1.05040	+	7.30572i	0.0354696	+	0.246696i	−0.964371	+	0.264554i	$0.914775\pi$
$878$	−26.2797	+	12.0016i	−0.886898	+	0.405033i
$879$	−42.2618	−	31.5973i	−1.42545	−	1.06575i
$880$	8.07714	−	17.6865i	0.272280	−	0.596211i
$881$	19.2310	−	22.1937i	0.647908	−	0.747726i	−0.332844	−	0.942982i	$-0.608008\pi$
$881$	19.2310	−	22.1937i	0.647908	−	0.747726i	0.980752	+	0.195256i	$0.0625538\pi$
$882$	−1.96730	−	2.26489i	−0.0662423	−	0.0762630i
$883$	19.2542	−	5.65353i	0.647954	−	0.190257i	0.0587908	−	0.998270i	$-0.481276\pi$
$883$	19.2542	−	5.65353i	0.647954	−	0.190257i	0.589164	+	0.808014i	$0.299457\pi$
$884$	4.30060	+	4.96315i	0.144645	+	0.166929i
$885$	−1.47541	−	6.76286i	−0.0495954	−	0.227331i
$886$	12.2406	−	7.86658i	0.411232	−	0.264283i
$887$	30.3916	−	26.3344i	1.02045	−	0.884224i	0.0271310	−	0.999632i	$-0.491363\pi$
$887$	30.3916	−	26.3344i	1.02045	−	0.884224i	0.993318	+	0.115408i	$0.0368174\pi$
$888$	10.3963	+	0.737304i	0.348878	+	0.0247423i
$889$	−5.69392	−	0.818662i	−0.190968	−	0.0274570i
$890$	38.4647	+	33.3298i	1.28934	+	1.11722i
$891$	56.7473	+	16.5150i	1.90111	+	0.553273i
$892$	−11.3691	−	3.33826i	−0.380664	−	0.111773i
$893$	6.15272	+	13.4726i	0.205893	+	0.450842i
$894$	−15.6439	−	3.39332i	−0.523211	−	0.113490i
$895$	−15.0385	+	23.4004i	−0.502683	+	0.782189i
$896$	1.00000			0.0334077
$897$	−24.9801	−	35.2104i	−0.834062	−	1.17564i
$898$	14.7709			0.492913
$899$	−8.00121	+	12.4501i	−0.266855	+	0.415235i
$900$	−6.09794	+	9.51361i	−0.203265	+	0.317120i
$901$	−1.65101	−	3.61521i	−0.0550032	−	0.120440i
$902$	22.7282	+	6.67361i	0.756767	+	0.222207i
$903$	−9.38336	+	9.39460i	−0.312259	+	0.312633i
$904$	15.3113	+	13.2673i	0.509246	+	0.441264i
$905$	−28.6885	−	4.12478i	−0.953638	−	0.137112i
$906$	2.18746	−	30.8442i	0.0726735	−	1.02473i
$907$	42.2305	−	36.5929i	1.40224	−	1.21505i	0.456667	−	0.889638i	$-0.349043\pi$
$907$	42.2305	−	36.5929i	1.40224	−	1.21505i	0.945573	−	0.325411i	$-0.105502\pi$
$908$	−12.1198	+	7.78893i	−0.402210	+	0.258485i
$909$	−2.14392	+	15.0391i	−0.0711094	+	0.498816i
$910$	10.0772	+	11.6297i	0.334056	+	0.385522i
$911$	−0.0752977	+	0.0221094i	−0.00249472	+	0.000732517i	−0.282980	−	0.959126i	$-0.591323\pi$
$911$	−0.0752977	+	0.0221094i	−0.00249472	+	0.000732517i	0.280485	+	0.959858i	$0.409505\pi$
$912$	−10.5656	−	5.76106i	−0.349863	−	0.190768i
$913$	44.8146	−	51.7188i	1.48315	−	1.71164i
$914$	9.26787	−	20.2938i	0.306554	−	0.671260i
$915$	−14.8621	+	19.8782i	−0.491325	+	0.657154i
$916$	2.65496	−	1.21248i	0.0877223	−	0.0400614i
$917$	−0.552812	−	3.84489i	−0.0182555	−	0.126969i
$918$	6.54991	+	0.456637i	0.216179	+	0.0150713i
$919$		−	46.4507i		−	1.53227i	−0.642681	−	0.766134i	$-0.722178\pi$
$919$		−	46.4507i		−	1.53227i	0.642681	−	0.766134i	$-0.277822\pi$
$920$	−4.35550	+	13.5153i	−0.143596	+	0.445587i
$921$	−33.5801	−	12.5018i	−1.10650	−	0.411950i
$922$	31.3916	+	20.1741i	1.03383	+	0.664400i
$923$	−43.4212	+	6.24302i	−1.42923	+	0.205492i
$924$	−11.3446	+	0.818212i	−0.373211	+	0.0269172i
$925$	6.38570	−	21.7477i	0.209961	−	0.715060i
$926$	−13.7183	−	6.26496i	−0.450813	−	0.205879i
$927$	−3.39523	−	23.4153i	−0.111514	−	0.769059i
$928$	−0.465280	+	3.23609i	−0.0152736	+	0.106230i
$929$	2.97900	+	10.1455i	0.0977377	+	0.332864i	0.993817	−	0.111030i	$-0.0354149\pi$
$929$	2.97900	+	10.1455i	0.0977377	+	0.332864i	−0.896079	+	0.443894i	$0.853597\pi$
$930$	−21.7461	+	8.12570i	−0.713082	+	0.266452i
$931$	−3.75635	−	5.84499i	−0.123109	−	0.191562i
$932$	3.80989	+	5.92830i	0.124797	+	0.194188i
$933$	11.8648	−	4.43342i	0.388435	−	0.145144i
$934$	−0.828286	−	2.82088i	−0.0271024	−	0.0923021i
$935$	−3.49649	+	24.3186i	−0.114347	+	0.795304i
$936$	−2.23741	−	15.4304i	−0.0731321	−	0.504357i
$937$	46.4881	+	21.2304i	1.51870	+	0.693567i	0.988066	−	0.154034i	$-0.0492266\pi$
$937$	46.4881	+	21.2304i	1.51870	+	0.693567i	0.530634	+	0.847601i	$0.321954\pi$
$938$	3.99749	−	13.6142i	0.130523	−	0.444519i
$939$	12.0607	−	0.869857i	0.393587	−	0.0283867i
$940$	6.24745	−	0.898248i	0.203769	−	0.0292976i
$941$	28.7638	+	18.4854i	0.937673	+	0.602606i	0.917734	−	0.397195i	$-0.130016\pi$
$941$	28.7638	+	18.4854i	0.937673	+	0.602606i	0.0199391	+	0.999801i	$0.493653\pi$
$942$	14.4372	+	5.37496i	0.470390	+	0.175126i
$943$	−17.0531	−	2.90893i	−0.555324	−	0.0947279i
$944$		−	1.34973i		−	0.0439301i
$945$	15.3479	+	1.07000i	0.499266	+	0.0348070i
$946$	7.16440	+	49.8295i	0.232935	+	1.62010i
$947$	23.1806	−	10.5862i	0.753268	−	0.344006i	−0.00149890	−	0.999999i	$-0.500477\pi$
$947$	23.1806	−	10.5862i	0.753268	−	0.344006i	0.754767	+	0.655993i	$0.227750\pi$
$948$	6.56888	−	8.78596i	0.213347	−	0.285355i
$949$	−25.7332	+	56.3479i	−0.835335	+	1.82913i
$950$	−17.1384	+	19.7787i	−0.556042	+	0.641707i
$951$	−4.23597	−	2.30973i	−0.137361	−	0.0748980i
$952$	−1.21241	+	0.355995i	−0.0392943	+	0.0115379i
$953$	−18.1679	−	20.9669i	−0.588518	−	0.679185i	0.380896	−	0.924618i	$-0.375616\pi$
$953$	−18.1679	−	20.9669i	−0.588518	−	0.679185i	−0.969414	+	0.245432i	$0.921070\pi$
$954$	−1.33168	+	9.34145i	−0.0431148	+	0.302440i
$955$	3.06677	−	1.97090i	0.0992385	−	0.0637767i
$956$	12.6126	−	10.9289i	0.407922	−	0.353466i
$957$	2.63062	−	37.0930i	0.0850360	−	1.19905i
$958$	−0.873100	−	0.125533i	−0.0282086	−	0.00405578i
$959$	−9.69843	−	8.40374i	−0.313179	−	0.271371i
$960$	−3.62413	+	3.62847i	−0.116968	+	0.117109i
$961$	10.0832	+	2.96070i	0.325265	+	0.0955064i
$962$	12.9916	+	28.4477i	0.418867	+	0.917191i
$963$	−9.29688	+	14.5044i	−0.299588	+	0.467397i
$964$	−5.74102	+	8.93320i	−0.184906	+	0.287719i
$965$	−14.2074			−0.457353
$966$	8.15926	−	1.55771i	0.262520	−	0.0501184i
$967$	−18.5938			−0.597938			−0.298969	−	0.954263i	$-0.596643\pi$
$967$	−18.5938			−0.597938			−0.298969	+	0.954263i	$0.596643\pi$
$968$	−17.3673	+	27.0240i	−0.558205	+	0.868584i
$969$	14.8607	+	3.22344i	0.477396	+	0.103552i
$970$	−5.24113	−	11.4765i	−0.168283	−	0.368487i
$971$	−7.25636	−	2.13066i	−0.232868	−	0.0683761i	0.163217	−	0.986590i	$-0.447813\pi$
$971$	−7.25636	−	2.13066i	−0.232868	−	0.0683761i	−0.396084	+	0.918214i	$0.629631\pi$
$972$	−12.5071	−	9.30442i	−0.401166	−	0.298439i
$973$	0.342978	+	0.297192i	0.0109954	+	0.00952755i
$974$	−11.4750	−	1.64985i	−0.367682	−	0.0528647i
$975$	−33.8227	−	2.39869i	−1.08319	−	0.0768196i
$976$	−3.65761	+	3.16934i	−0.117077	+	0.101448i
$977$	−6.11168	+	3.92774i	−0.195530	+	0.125660i	−0.634743	−	0.772724i	$-0.718894\pi$
$977$	−6.11168	+	3.92774i	−0.195530	+	0.125660i	0.439213	+	0.898383i	$0.355257\pi$
$978$	−3.53067	−	16.1836i	−0.112898	−	0.517494i
$979$	−73.9216	−	85.3100i	−2.36254	−	2.72652i
$980$	−2.84093	+	0.834172i	−0.0907501	+	0.0266466i
$981$	17.5032	+	20.1510i	0.558834	+	0.643371i
$982$	0.452058	−	0.521702i	0.0144257	−	0.0166482i
$983$	14.0939	−	30.8613i	0.449526	−	0.984324i	−0.540225	−	0.841520i	$-0.681661\pi$
$983$	14.0939	−	30.8613i	0.449526	−	0.984324i	0.989751	−	0.142804i	$-0.0456117\pi$
$984$	−5.00386	−	3.74117i	−0.159517	−	0.119264i
$985$	28.8368	−	13.1693i	0.918818	−	0.419610i
$986$	−0.587923	−	4.08910i	−0.0187233	−	0.130223i
$987$	−2.21444	−	2.95445i	−0.0704863	−	0.0940413i
$988$		−	36.1102i		−	1.14882i
$989$	−9.43185	−	35.5347i	−0.299915	−	1.12994i
$990$	38.1456	−	44.1291i	1.21235	−	1.40251i
$991$	27.2870	+	17.5363i	0.866801	+	0.557059i	0.896773	−	0.442491i	$-0.145905\pi$
$991$	27.2870	+	17.5363i	0.866801	+	0.557059i	−0.0299714	+	0.999551i	$0.509542\pi$
$992$	−4.48063	+	0.644218i	−0.142260	+	0.0204539i
$993$	−1.73102	−	24.0009i	−0.0549324	−	0.761647i
$994$	2.37798	−	8.09866i	0.0754250	−	0.256874i
$995$	62.9224	+	28.7357i	1.99477	+	0.910983i
$996$	−15.8368	+	8.65987i	−0.501809	+	0.274398i
$997$	2.52549	−	17.5652i	0.0799832	−	0.556295i	−0.909945	−	0.414728i	$-0.863877\pi$
$997$	2.52549	−	17.5652i	0.0799832	−	0.556295i	0.989929	−	0.141567i	$-0.0452142\pi$
$998$	−1.17382	−	3.99767i	−0.0371567	−	0.126544i
$999$	29.3155	+	10.8742i	0.927500	+	0.344043i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.r.a.113.19	✓	240
3.2	odd	2		966.2.r.b.113.4	yes	240
23.11	odd	22		966.2.r.b.701.4	yes	240
69.11	even	22	inner	966.2.r.a.701.19	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.r.a.113.19	✓	240	1.1	even	1	trivial
966.2.r.a.701.19	yes	240	69.11	even	22	inner
966.2.r.b.113.4	yes	240	3.2	odd	2
966.2.r.b.701.4	yes	240	23.11	odd	22

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	966.r (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.540641 - 0.841254i) q^{2} +(0.367161 - 1.69269i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(-2.84093 - 0.834172i) q^{5} +(-1.22548 - 1.22401i) q^{6} +(0.755750 + 0.654861i) q^{7} +(-0.989821 - 0.142315i) q^{8} +(-2.73039 - 1.24298i) q^{9} +O(q^{10})\)	\(q+(0.540641 - 0.841254i) q^{2} +(0.367161 - 1.69269i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(-2.84093 - 0.834172i) q^{5} +(-1.22548 - 1.22401i) q^{6} +(0.755750 + 0.654861i) q^{7} +(-0.989821 - 0.142315i) q^{8} +(-2.73039 - 1.24298i) q^{9} +(-2.23767 + 1.93895i) q^{10} +(5.52438 - 3.55030i) q^{11} +(-1.69225 + 0.369187i) q^{12} +(-3.40347 - 3.92781i) q^{13} +(0.959493 - 0.281733i) q^{14} +(-2.45507 + 4.50253i) q^{15} +(-0.654861 + 0.755750i) q^{16} +(0.524915 - 1.14940i) q^{17} +(-2.52182 + 1.62494i) q^{18} +(-6.32008 + 2.88629i) q^{19} +(0.421375 + 2.93073i) q^{20} +(1.38596 - 1.03881i) q^{21} -6.56685i q^{22} +(0.558138 + 4.76324i) q^{23} +(-0.604318 + 1.62321i) q^{24} +(3.16877 + 2.03644i) q^{25} +(-5.14434 + 0.739645i) q^{26} +(-3.10646 + 4.16532i) q^{27} +(0.281733 - 0.959493i) q^{28} +(2.97392 + 1.35815i) q^{29} +(2.46046 + 4.49959i) q^{30} +(-0.644218 + 4.48063i) q^{31} +(0.281733 + 0.959493i) q^{32} +(-3.98122 - 10.6546i) q^{33} +(-0.683149 - 1.06300i) q^{34} +(-1.60076 - 2.49084i) q^{35} +(0.00359208 + 3.00000i) q^{36} +(-1.69530 - 5.77365i) q^{37} +(-0.988797 + 6.87724i) q^{38} +(-7.89819 + 4.31888i) q^{39} +(2.69330 + 1.22999i) q^{40} +(-1.01626 + 3.46105i) q^{41} +(-0.124597 - 1.72756i) q^{42} +(-7.58804 + 1.09100i) q^{43} +(-5.52438 - 3.55030i) q^{44} +(6.71998 + 5.80882i) q^{45} +(4.30885 + 2.10567i) q^{46} -2.13171i q^{47} +(1.03881 + 1.38596i) q^{48} +(0.142315 + 0.989821i) q^{49} +(3.42633 - 1.56475i) q^{50} +(-1.75285 - 1.31053i) q^{51} +(-2.15901 + 4.72758i) q^{52} +(2.05973 - 2.37706i) q^{53} +(1.82461 + 4.86526i) q^{54} +(-18.6559 + 5.47788i) q^{55} +(-0.654861 - 0.755750i) q^{56} +(2.56510 + 11.7577i) q^{57} +(2.75037 - 1.76755i) q^{58} +(-1.02006 + 0.883887i) q^{59} +(5.11552 + 0.362791i) q^{60} +(4.79046 + 0.688764i) q^{61} +(3.42106 + 2.96436i) q^{62} +(-1.24951 - 2.72740i) q^{63} +(0.959493 + 0.281733i) q^{64} +(6.39255 + 13.9977i) q^{65} +(-11.1156 - 2.41109i) q^{66} +(7.67113 - 11.9365i) q^{67} -1.26359 q^{68} +(8.26761 + 0.804121i) q^{69} -2.96086 q^{70} +(4.56331 - 7.10066i) q^{71} +(2.52570 + 1.61890i) q^{72} +(-4.95132 - 10.8419i) q^{73} +(-5.77365 - 1.69530i) q^{74} +(4.61051 - 4.61603i) q^{75} +(5.25092 + 4.54994i) q^{76} +(6.50000 + 0.934560i) q^{77} +(-0.636812 + 8.97934i) q^{78} +(-4.78661 + 4.14762i) q^{79} +(2.49084 - 1.60076i) q^{80} +(5.91002 + 6.78761i) q^{81} +(2.36219 + 2.72612i) q^{82} +(9.99898 - 2.93596i) q^{83} +(-1.52068 - 0.829173i) q^{84} +(-2.45005 + 2.82750i) q^{85} +(-3.18460 + 6.97330i) q^{86} +(3.39082 - 4.53527i) q^{87} +(-5.97341 + 2.72797i) q^{88} +(-2.44633 - 17.0146i) q^{89} +(8.51978 - 2.51272i) q^{90} -5.19724i q^{91} +(4.10094 - 2.48642i) q^{92} +(7.34778 + 2.73557i) q^{93} +(-1.79331 - 1.15249i) q^{94} +(20.3626 - 2.92770i) q^{95} +(1.72756 - 0.124597i) q^{96} +(-1.20050 + 4.08852i) q^{97} +(0.909632 + 0.415415i) q^{98} +(-19.4966 + 2.82703i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 4 q^{3} + 24 q^{4} - 4 q^{5} + 4 q^{9}+O(q^{10}) \) 240 * q - 4 * q^3 + 24 * q^4 - 4 * q^5 + 4 * q^9	\( 240 q - 4 q^{3} + 24 q^{4} - 4 q^{5} + 4 q^{9} + 4 q^{12} - 8 q^{13} + 24 q^{14} + 18 q^{15} - 24 q^{16} + 32 q^{17} - 4 q^{18} + 4 q^{20} - 8 q^{23} + 12 q^{25} - 148 q^{27} + 40 q^{30} + 16 q^{31} + 42 q^{33} - 4 q^{36} + 22 q^{37} + 8 q^{39} + 154 q^{41} + 4 q^{42} + 22 q^{43} + 24 q^{45} + 4 q^{46} - 4 q^{48} + 24 q^{49} + 88 q^{50} + 24 q^{51} + 8 q^{52} - 108 q^{53} + 12 q^{54} - 16 q^{55} - 24 q^{56} - 62 q^{57} - 4 q^{58} + 22 q^{59} - 18 q^{60} - 4 q^{63} + 24 q^{64} - 100 q^{66} - 44 q^{67} - 32 q^{68} - 86 q^{69} + 4 q^{70} + 4 q^{72} - 12 q^{73} - 16 q^{74} - 26 q^{75} - 78 q^{78} - 4 q^{80} + 52 q^{81} + 8 q^{82} + 16 q^{83} - 28 q^{85} + 16 q^{86} - 196 q^{87} + 24 q^{89} + 126 q^{90} + 8 q^{92} - 16 q^{93} - 8 q^{94} + 132 q^{97} + 172 q^{99}+O(q^{100}) \) 240 * q - 4 * q^3 + 24 * q^4 - 4 * q^5 + 4 * q^9 + 4 * q^12 - 8 * q^13 + 24 * q^14 + 18 * q^15 - 24 * q^16 + 32 * q^17 - 4 * q^18 + 4 * q^20 - 8 * q^23 + 12 * q^25 - 148 * q^27 + 40 * q^30 + 16 * q^31 + 42 * q^33 - 4 * q^36 + 22 * q^37 + 8 * q^39 + 154 * q^41 + 4 * q^42 + 22 * q^43 + 24 * q^45 + 4 * q^46 - 4 * q^48 + 24 * q^49 + 88 * q^50 + 24 * q^51 + 8 * q^52 - 108 * q^53 + 12 * q^54 - 16 * q^55 - 24 * q^56 - 62 * q^57 - 4 * q^58 + 22 * q^59 - 18 * q^60 - 4 * q^63 + 24 * q^64 - 100 * q^66 - 44 * q^67 - 32 * q^68 - 86 * q^69 + 4 * q^70 + 4 * q^72 - 12 * q^73 - 16 * q^74 - 26 * q^75 - 78 * q^78 - 4 * q^80 + 52 * q^81 + 8 * q^82 + 16 * q^83 - 28 * q^85 + 16 * q^86 - 196 * q^87 + 24 * q^89 + 126 * q^90 + 8 * q^92 - 16 * q^93 - 8 * q^94 + 132 * q^97 + 172 * q^99

Introduction

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