LMFDB - Embedded newform 276.2.m.a.7.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [276,2,Mod(7,276)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(276, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 0, 19]))

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

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

chi := DirichletCharacter("276.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 276 = 2^{2} \cdot 3 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	276.m (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:	$2.20387109579$
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			7.4
Character	$\chi$	$=$	276.7
Dual form			276.2.m.a.79.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.24424 - 0.672203i) q^{2} +(-0.540641 - 0.841254i) q^{3} +(1.09629 + 1.67277i) q^{4} +(1.03264 - 0.471590i) q^{5} +(0.107195 + 1.41015i) q^{6} +(-4.96264 + 1.45716i) q^{7} +(-0.239604 - 2.81826i) q^{8} +(-0.415415 + 0.909632i) q^{9} +O(q^{10})$	\(q+(-1.24424 - 0.672203i) q^{2} +(-0.540641 - 0.841254i) q^{3} +(1.09629 + 1.67277i) q^{4} +(1.03264 - 0.471590i) q^{5} +(0.107195 + 1.41015i) q^{6} +(-4.96264 + 1.45716i) q^{7} +(-0.239604 - 2.81826i) q^{8} +(-0.415415 + 0.909632i) q^{9} +(-1.60186 - 0.107370i) q^{10} +(0.753175 + 0.869211i) q^{11} +(0.814527 - 1.82662i) q^{12} +(-4.30793 - 1.26492i) q^{13} +(7.15425 + 1.52284i) q^{14} +(-0.955012 - 0.613749i) q^{15} +(-1.59632 + 3.66767i) q^{16} +(-4.35076 - 0.625545i) q^{17} +(1.12834 - 0.852561i) q^{18} +(-0.591832 - 4.11628i) q^{19} +(1.92093 + 1.21037i) q^{20} +(3.90885 + 3.38704i) q^{21} +(-0.352847 - 1.58780i) q^{22} +(1.69494 + 4.48633i) q^{23} +(-2.24133 + 1.72523i) q^{24} +(-2.43036 + 2.80479i) q^{25} +(4.50983 + 4.46968i) q^{26} +(0.989821 - 0.142315i) q^{27} +(-7.87797 - 6.70390i) q^{28} +(-0.326489 + 2.27078i) q^{29} +(0.775704 + 1.40562i) q^{30} +(-5.16484 + 8.03665i) q^{31} +(4.45163 - 3.49042i) q^{32} +(0.324029 - 1.10354i) q^{33} +(4.99292 + 3.70293i) q^{34} +(-4.43743 + 3.84505i) q^{35} +(-1.97702 + 0.302322i) q^{36} +(3.51836 + 1.60678i) q^{37} +(-2.03059 + 5.51949i) q^{38} +(1.26492 + 4.30793i) q^{39} +(-1.57649 - 2.79725i) q^{40} +(-3.03939 - 6.65533i) q^{41} +(-2.58679 - 6.84185i) q^{42} +(-3.18829 + 2.04899i) q^{43} +(-0.628295 + 2.21279i) q^{44} +1.13523i q^{45} +(0.906812 - 6.72144i) q^{46} -10.7319i q^{47} +(3.94847 - 0.639981i) q^{48} +(16.6157 - 10.6783i) q^{49} +(4.90935 - 1.85614i) q^{50} +(1.82596 + 3.99829i) q^{51} +(-2.60679 - 8.59289i) q^{52} +(-1.06492 - 3.62680i) q^{53} +(-1.32724 - 0.488287i) q^{54} +(1.18767 + 0.542390i) q^{55} +(5.29574 + 13.6369i) q^{56} +(-3.14287 + 2.72331i) q^{57} +(1.93266 - 2.60594i) q^{58} +(3.71356 - 12.6472i) q^{59} +(-0.0203046 - 2.27036i) q^{60} +(-2.37368 + 3.69352i) q^{61} +(11.8286 - 6.52773i) q^{62} +(0.736074 - 5.11951i) q^{63} +(-7.88518 + 1.35053i) q^{64} +(-5.04505 + 0.725369i) q^{65} +(-1.14498 + 1.15526i) q^{66} +(0.923739 - 1.06605i) q^{67} +(-3.72328 - 7.96360i) q^{68} +(2.85779 - 3.85137i) q^{69} +(8.10590 - 1.80133i) q^{70} +(0.893778 + 0.774463i) q^{71} +(2.66311 + 0.952796i) q^{72} +(0.286296 + 1.99123i) q^{73} +(-3.29761 - 4.36428i) q^{74} +(3.67349 + 0.528168i) q^{75} +(6.23677 - 5.50261i) q^{76} +(-5.00432 - 3.21608i) q^{77} +(1.32193 - 6.21040i) q^{78} +(-4.14955 - 1.21842i) q^{79} +(0.0812151 + 4.54018i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(-0.691997 + 10.3239i) q^{82} +(-4.68378 + 10.2560i) q^{83} +(-1.38052 + 10.2518i) q^{84} +(-4.78776 + 1.40581i) q^{85} +(5.34435 - 0.406263i) q^{86} +(2.08682 - 0.953018i) q^{87} +(2.26920 - 2.33091i) q^{88} +(-2.49767 - 3.88645i) q^{89} +(0.763102 - 1.41250i) q^{90} +23.2219 q^{91} +(-5.64647 + 7.75354i) q^{92} +9.55318 q^{93} +(-7.21401 + 13.3531i) q^{94} +(-2.55234 - 3.97152i) q^{95} +(-5.34306 - 1.85788i) q^{96} +(-0.261213 + 0.119292i) q^{97} +(-27.8520 + 2.11723i) q^{98} +(-1.10354 + 0.324029i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9}+O(q^{10}) $ 240 * q - 4 * q^2 - 4 * q^6 - 4 * q^8 + 24 * q^9	$ 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9} - 8 q^{16} + 4 q^{18} + 4 q^{24} + 24 q^{25} - 40 q^{26} + 32 q^{29} + 36 q^{32} - 22 q^{34} - 22 q^{36} - 110 q^{38} - 22 q^{40} - 16 q^{41} - 110 q^{42} - 154 q^{44} - 88 q^{46} - 56 q^{48} - 40 q^{49} - 142 q^{50} - 70 q^{52} - 18 q^{54} - 110 q^{56} - 46 q^{58} - 22 q^{60} + 40 q^{62} - 48 q^{64} - 16 q^{69} - 72 q^{70} + 4 q^{72} + 22 q^{74} + 110 q^{76} - 192 q^{77} + 198 q^{80} - 24 q^{81} + 172 q^{82} - 200 q^{85} + 220 q^{86} + 176 q^{88} - 88 q^{89} + 154 q^{92} - 16 q^{93} + 126 q^{94} - 44 q^{96} - 88 q^{97} + 228 q^{98}+O(q^{100}) $ 240 * q - 4 * q^2 - 4 * q^6 - 4 * q^8 + 24 * q^9 - 8 * q^16 + 4 * q^18 + 4 * q^24 + 24 * q^25 - 40 * q^26 + 32 * q^29 + 36 * q^32 - 22 * q^34 - 22 * q^36 - 110 * q^38 - 22 * q^40 - 16 * q^41 - 110 * q^42 - 154 * q^44 - 88 * q^46 - 56 * q^48 - 40 * q^49 - 142 * q^50 - 70 * q^52 - 18 * q^54 - 110 * q^56 - 46 * q^58 - 22 * q^60 + 40 * q^62 - 48 * q^64 - 16 * q^69 - 72 * q^70 + 4 * q^72 + 22 * q^74 + 110 * q^76 - 192 * q^77 + 198 * q^80 - 24 * q^81 + 172 * q^82 - 200 * q^85 + 220 * q^86 + 176 * q^88 - 88 * q^89 + 154 * q^92 - 16 * q^93 + 126 * q^94 - 44 * q^96 - 88 * q^97 + 228 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/276\mathbb{Z}\right)^\times$.

$n$	$97$	$139$	$185$
$\chi(n)$	$e\left(\frac{19}{22}\right)$	$-1$	$1$

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 $

$2$	−1.24424	−	0.672203i	−0.879813	−	0.475320i
$2$	−1.24424	−	0.672203i	−0.879813	−	0.475320i
$3$	−0.540641	−	0.841254i	−0.312139	−	0.485698i
$3$	−0.540641	−	0.841254i	−0.312139	−	0.485698i
$4$	1.09629	+	1.67277i	0.548143	+	0.836385i
$5$	1.03264	−	0.471590i	0.461809	−	0.210901i	−0.170903	−	0.985288i	$-0.554669\pi$
$5$	1.03264	−	0.471590i	0.461809	−	0.210901i	0.632713	+	0.774386i	$0.281941\pi$
$6$	0.107195	+	1.41015i	0.0437623	+	0.575689i
$7$	−4.96264	+	1.45716i	−1.87570	+	0.550756i	−0.878353	+	0.478013i	$0.841357\pi$
$7$	−4.96264	+	1.45716i	−1.87570	+	0.550756i	−0.997351	+	0.0727430i	$0.976825\pi$
$8$	−0.239604	−	2.81826i	−0.0847128	−	0.996405i
$9$	−0.415415	+	0.909632i	−0.138472	+	0.303211i
$10$	−1.60186	−	0.107370i	−0.506552	−	0.0339533i
$11$	0.753175	+	0.869211i	0.227091	+	0.262077i	0.857848	−	0.513903i	$-0.171801\pi$
$11$	0.753175	+	0.869211i	0.227091	+	0.262077i	−0.630757	+	0.775980i	$0.717256\pi$
$12$	0.814527	−	1.82662i	0.235134	−	0.527300i
$13$	−4.30793	−	1.26492i	−1.19480	−	0.350826i	−0.376940	−	0.926238i	$-0.623024\pi$
$13$	−4.30793	−	1.26492i	−1.19480	−	0.350826i	−0.817864	+	0.575411i	$0.804842\pi$
$14$	7.15425	+	1.52284i	1.91205	+	0.406996i
$15$	−0.955012	−	0.613749i	−0.246583	−	0.158469i
$16$	−1.59632	+	3.66767i	−0.399080	+	0.916916i
$17$	−4.35076	−	0.625545i	−1.05522	−	0.151717i	−0.407196	−	0.913341i	$-0.633493\pi$
$17$	−4.35076	−	0.625545i	−1.05522	−	0.151717i	−0.648019	+	0.761624i	$0.724402\pi$
$18$	1.12834	−	0.852561i	0.265951	−	0.200950i
$19$	−0.591832	−	4.11628i	−0.135776	−	0.944339i	−0.937832	−	0.347091i	$-0.887170\pi$
$19$	−0.591832	−	4.11628i	−0.135776	−	0.944339i	0.802056	−	0.597249i	$-0.203739\pi$
$20$	1.92093	+	1.21037i	0.429532	+	0.270647i
$21$	3.90885	+	3.38704i	0.852982	+	0.739113i
$22$	−0.352847	−	1.58780i	−0.0752273	−	0.338519i
$23$	1.69494	+	4.48633i	0.353419	+	0.935465i
$23$	1.69494	+	4.48633i	0.353419	+	0.935465i
$24$	−2.24133	+	1.72523i	−0.457510	+	0.352162i
$25$	−2.43036	+	2.80479i	−0.486072	+	0.560957i
$26$	4.50983	+	4.46968i	0.884450	+	0.876575i
$27$	0.989821	−	0.142315i	0.190491	−	0.0273885i
$28$	−7.87797	−	6.70390i	−1.48880	−	1.26692i
$29$	−0.326489	+	2.27078i	−0.0606276	+	0.421674i	0.936792	+	0.349886i	$0.113780\pi$
$29$	−0.326489	+	2.27078i	−0.0606276	+	0.421674i	−0.997420	+	0.0717881i	$0.977129\pi$
$30$	0.775704	+	1.40562i	0.141624	+	0.256629i
$31$	−5.16484	+	8.03665i	−0.927633	+	1.44342i	−0.0315679	+	0.999502i	$0.510050\pi$
$31$	−5.16484	+	8.03665i	−0.927633	+	1.44342i	−0.896065	+	0.443923i	$0.853586\pi$
$32$	4.45163	−	3.49042i	0.786944	−	0.617025i
$33$	0.324029	−	1.10354i	0.0564062	−	0.192102i
$34$	4.99292	+	3.70293i	0.856278	+	0.635047i
$35$	−4.43743	+	3.84505i	−0.750062	+	0.649933i
$36$	−1.97702	+	0.302322i	−0.329503	+	0.0503870i
$37$	3.51836	+	1.60678i	0.578415	+	0.264153i	0.683067	−	0.730356i	$-0.260646\pi$
$37$	3.51836	+	1.60678i	0.578415	+	0.264153i	−0.104652	+	0.994509i	$0.533373\pi$
$38$	−2.03059	+	5.51949i	−0.329406	+	0.895379i
$39$	1.26492	+	4.30793i	0.202550	+	0.689821i
$40$	−1.57649	−	2.79725i	−0.249264	−	0.442283i
$41$	−3.03939	−	6.65533i	−0.474672	−	1.03939i	−0.983894	−	0.178752i	$-0.942794\pi$
$41$	−3.03939	−	6.65533i	−0.474672	−	1.03939i	0.509222	−	0.860635i	$-0.329933\pi$
$42$	−2.58679	−	6.84185i	−0.399150	−	1.05572i
$43$	−3.18829	+	2.04899i	−0.486210	+	0.312468i	−0.760680	−	0.649128i	$-0.775134\pi$
$43$	−3.18829	+	2.04899i	−0.486210	+	0.312468i	0.274470	+	0.961596i	$0.411498\pi$
$44$	−0.628295	+	2.21279i	−0.0947190	+	0.333591i
$45$			1.13523i			0.169229i
$46$	0.906812	−	6.72144i	0.133702	−	0.991022i
$47$		−	10.7319i		−	1.56541i	−0.622395	−	0.782703i	$-0.713840\pi$
$47$		−	10.7319i		−	1.56541i	0.622395	−	0.782703i	$-0.286160\pi$
$48$	3.94847	−	0.639981i	0.569913	−	0.0923733i
$49$	16.6157	−	10.6783i	2.37368	−	1.52547i
$50$	4.90935	−	1.85614i	0.694287	−	0.262498i
$51$	1.82596	+	3.99829i	0.255685	+	0.559873i
$52$	−2.60679	−	8.59289i	−0.361497	−	1.19162i
$53$	−1.06492	−	3.62680i	−0.146279	−	0.498179i	0.853457	−	0.521163i	$-0.174502\pi$
$53$	−1.06492	−	3.62680i	−0.146279	−	0.498179i	−0.999736	+	0.0229836i	$0.992683\pi$
$54$	−1.32724	−	0.488287i	−0.180615	−	0.0664475i
$55$	1.18767	+	0.542390i	0.160145	+	0.0731358i
$56$	5.29574	+	13.6369i	0.707673	+	1.82230i
$57$	−3.14287	+	2.72331i	−0.416283	+	0.360711i
$58$	1.93266	−	2.60594i	0.253771	−	0.342177i
$59$	3.71356	−	12.6472i	0.483464	−	1.64653i	−0.251081	−	0.967966i	$-0.580786\pi$
$59$	3.71356	−	12.6472i	0.483464	−	1.64653i	0.734545	−	0.678560i	$-0.237396\pi$
$60$	−0.0203046	−	2.27036i	−0.00262131	−	0.293102i
$61$	−2.37368	+	3.69352i	−0.303918	+	0.472906i	−0.959299	−	0.282393i	$-0.908872\pi$
$61$	−2.37368	+	3.69352i	−0.303918	+	0.472906i	0.655380	+	0.755299i	$0.272508\pi$
$62$	11.8286	−	6.52773i	1.50223	−	0.829022i
$63$	0.736074	−	5.11951i	0.0927366	−	0.644997i
$64$	−7.88518	+	1.35053i	−0.985647	+	0.168817i
$65$	−5.04505	+	0.725369i	−0.625762	+	0.0899709i
$66$	−1.14498	+	1.15526i	−0.140937	+	0.142203i
$67$	0.923739	−	1.06605i	0.112853	−	0.130239i	−0.696512	−	0.717545i	$-0.745266\pi$
$67$	0.923739	−	1.06605i	0.112853	−	0.130239i	0.809365	+	0.587306i	$0.199811\pi$
$68$	−3.72328	−	7.96360i	−0.451514	−	0.965729i
$69$	2.85779	−	3.85137i	0.344038	−	0.463650i
$70$	8.10590	−	1.80133i	0.968841	−	0.215300i
$71$	0.893778	+	0.774463i	0.106072	+	0.0919119i	0.706282	−	0.707930i	$-0.250371\pi$
$71$	0.893778	+	0.774463i	0.106072	+	0.0919119i	−0.600210	+	0.799842i	$0.704916\pi$
$72$	2.66311	+	0.952796i	0.313851	+	0.112288i
$73$	0.286296	+	1.99123i	0.0335084	+	0.233056i	0.999693	−	0.0247972i	$-0.00789399\pi$
$73$	0.286296	+	1.99123i	0.0335084	+	0.233056i	−0.966184	+	0.257853i	$0.916985\pi$
$74$	−3.29761	−	4.36428i	−0.383340	−	0.507337i
$75$	3.67349	+	0.528168i	0.424178	+	0.0609876i
$76$	6.23677	−	5.50261i	0.715407	−	0.631193i
$77$	−5.00432	−	3.21608i	−0.570296	−	0.366507i
$78$	1.32193	−	6.21040i	0.149679	−	0.703189i
$79$	−4.14955	−	1.21842i	−0.466861	−	0.137083i	0.0398373	−	0.999206i	$-0.487316\pi$
$79$	−4.14955	−	1.21842i	−0.466861	−	0.137083i	−0.506698	+	0.862123i	$0.669134\pi$
$80$	0.0812151	+	4.54018i	0.00908013	+	0.507607i
$81$	−0.654861	−	0.755750i	−0.0727623	−	0.0839722i
$82$	−0.691997	+	10.3239i	−0.0764183	+	1.14009i
$83$	−4.68378	+	10.2560i	−0.514112	+	1.12575i	0.457509	+	0.889205i	$0.348742\pi$
$83$	−4.68378	+	10.2560i	−0.514112	+	1.12575i	−0.971621	+	0.236543i	$0.923986\pi$
$84$	−1.38052	+	10.2518i	−0.150627	+	1.11856i
$85$	−4.78776	+	1.40581i	−0.519306	+	0.152482i
$86$	5.34435	−	0.406263i	0.576296	−	0.0438085i
$87$	2.08682	−	0.953018i	0.223730	−	0.102174i
$88$	2.26920	−	2.33091i	0.241897	−	0.248476i
$89$	−2.49767	−	3.88645i	−0.264753	−	0.411963i	0.683270	−	0.730166i	$-0.260557\pi$
$89$	−2.49767	−	3.88645i	−0.264753	−	0.411963i	−0.948023	+	0.318203i	$0.896921\pi$
$90$	0.763102	−	1.41250i	0.0804381	−	0.148890i
$91$	23.2219			2.43432
$92$	−5.64647	+	7.75354i	−0.588685	+	0.808363i
$93$	9.55318			0.990619
$94$	−7.21401	+	13.3531i	−0.744069	+	1.37727i
$95$	−2.55234	−	3.97152i	−0.261865	−	0.407470i
$96$	−5.34306	−	1.85788i	−0.545324	−	0.189619i
$97$	−0.261213	+	0.119292i	−0.0265222	+	0.0121123i	−0.428632	−	0.903479i	$-0.641004\pi$
$97$	−0.261213	+	0.119292i	−0.0265222	+	0.0121123i	0.402110	+	0.915591i	$0.368277\pi$
$98$	−27.8520	+	2.11723i	−2.81348	+	0.213873i
$99$	−1.10354	+	0.324029i	−0.110910	+	0.0325662i
$100$	−7.35613	−	0.990590i	−0.735613	−	0.0990590i
$101$	−1.62209	+	3.55188i	−0.161404	+	0.353425i	−0.973004	−	0.230788i	$-0.925870\pi$
$101$	−1.62209	+	3.55188i	−0.161404	+	0.353425i	0.811600	+	0.584213i	$0.198597\pi$
$102$	0.415728	−	6.20226i	0.0411632	−	0.614116i
$103$	−5.99054	−	6.91345i	−0.590265	−	0.681203i	0.379514	−	0.925186i	$-0.376091\pi$
$103$	−5.99054	−	6.91345i	−0.590265	−	0.681203i	−0.969779	+	0.243983i	$0.921546\pi$
$104$	−2.53268	+	12.4439i	−0.248350	+	1.22023i
$105$	5.63372	+	1.65421i	0.549795	+	0.161434i
$106$	−1.11292	+	5.22847i	−0.108097	+	0.507834i
$107$	6.17185	+	3.96641i	0.596655	+	0.383447i	0.803832	−	0.594857i	$-0.202791\pi$
$107$	6.17185	+	3.96641i	0.596655	+	0.383447i	−0.207177	+	0.978304i	$0.566428\pi$
$108$	1.32319	+	1.49973i	0.127324	+	0.144311i
$109$	2.40417	+	0.345668i	0.230278	+	0.0331089i	0.256488	−	0.966548i	$-0.417435\pi$
$109$	2.40417	+	0.345668i	0.230278	+	0.0331089i	−0.0262098	+	0.999656i	$0.508344\pi$
$110$	−1.11315	−	1.47322i	−0.106135	−	0.140466i
$111$	−0.550458	−	3.82852i	−0.0522472	−	0.363387i
$112$	2.57757	−	20.5274i	0.243558	−	1.93966i
$113$	3.49081	+	3.02481i	0.328388	+	0.284550i	0.803413	−	0.595423i	$-0.203015\pi$
$113$	3.49081	+	3.02481i	0.328388	+	0.284550i	−0.475025	+	0.879972i	$0.657561\pi$
$114$	5.74111	−	1.27581i	0.537704	−	0.119491i
$115$	3.86596	+	3.83344i	0.360503	+	0.357470i
$116$	−4.15642	+	1.94328i	−0.385914	+	0.180429i
$117$	2.94019	−	3.39316i	0.271821	−	0.313698i
$118$	−13.1221	+	13.2399i	−1.20798	+	1.21884i
$119$	22.5028	−	3.23542i	2.06283	−	0.296590i
$120$	−1.50088	+	2.83853i	−0.137011	+	0.259121i
$121$	1.37721	−	9.57870i	0.125201	−	0.870791i
$122$	5.43623	−	3.00004i	0.492173	−	0.271611i
$123$	−3.95560	+	6.15504i	−0.356665	+	0.554981i
$124$	−19.1056	+	0.170868i	−1.71573	+	0.0153444i
$125$	−2.78612	+	9.48866i	−0.249198	+	0.848692i
$126$	−4.35721	+	5.87512i	−0.388171	+	0.523398i
$127$	2.27630	−	1.97242i	0.201989	−	0.175024i	−0.547993	−	0.836483i	$-0.684608\pi$
$127$	2.27630	−	1.97242i	0.201989	−	0.175024i	0.749981	+	0.661459i	$0.230062\pi$
$128$	10.7189	+	3.62005i	0.947428	+	0.319970i
$129$	3.44744	+	1.57439i	0.303530	+	0.138618i
$130$	6.76487	+	2.48877i	0.593318	+	0.218279i
$131$	−2.34370	−	7.98192i	−0.204770	−	0.697384i	−0.996276	−	0.0862219i	$-0.972521\pi$
$131$	−2.34370	−	7.98192i	−0.204770	−	0.697384i	0.791506	−	0.611162i	$-0.209298\pi$
$132$	2.20120	−	0.667770i	0.191590	−	0.0581219i
$133$	8.93514	+	19.5652i	0.774775	+	1.69652i
$134$	−1.86596	+	0.705488i	−0.161194	+	0.0609449i
$135$	0.955012	−	0.613749i	0.0821944	−	0.0528231i
$136$	−0.720489	+	12.4115i	−0.0617814	+	1.06427i
$137$			0.425240i			0.0363307i	0.999835	+	0.0181653i	$0.00578252\pi$
$137$			0.425240i			0.0363307i	−0.999835	+	0.0181653i	$0.994217\pi$
$138$	−6.14469	+	2.87102i	−0.523071	+	0.244398i
$139$			3.61111i			0.306291i	0.988204	+	0.153145i	$0.0489403\pi$
$139$			3.61111i			0.306291i	−0.988204	+	0.153145i	$0.951060\pi$
$140$	−11.2966	−	3.20752i	−0.954735	−	0.271085i
$141$	−9.02824	+	5.80210i	−0.760315	+	0.488625i
$142$	−0.591481	−	1.56442i	−0.0496360	−	0.131283i
$143$	−2.14514	−	4.69720i	−0.179386	−	0.392800i
$144$	−2.67309	−	2.97567i	−0.222758	−	0.247972i
$145$	0.733733	+	2.49887i	0.0609332	+	0.207520i
$146$	0.982291	−	2.67003i	0.0812950	−	0.220973i
$147$	−17.9663	−	8.20493i	−1.48184	−	0.676731i
$148$	1.16935	+	7.64689i	0.0961200	+	0.628571i
$149$	−11.6685	+	10.1108i	−0.955921	+	0.828310i	−0.985226	−	0.171260i	$-0.945216\pi$
$149$	−11.6685	+	10.1108i	−0.955921	+	0.828310i	0.0293050	+	0.999571i	$0.490671\pi$
$150$	−4.21568	−	3.12650i	−0.344209	−	0.255278i
$151$	1.90939	−	6.50280i	0.155384	−	0.529190i	−0.844596	−	0.535404i	$-0.820160\pi$
$151$	1.90939	−	6.50280i	0.155384	−	0.529190i	0.999981	+	0.00621311i	$0.00197771\pi$
$152$	−11.4589	+	2.65421i	−0.929443	+	0.215285i
$153$	2.37639	−	3.69773i	0.192120	−	0.298944i
$154$	4.06474	+	7.36551i	0.327546	+	0.593530i
$155$	−1.54341	+	10.7346i	−0.123969	+	0.862226i
$156$	−5.81946	+	6.83864i	−0.465930	+	0.547529i
$157$	−22.0199	+	3.16598i	−1.75738	+	0.252673i	−0.944207	−	0.329353i	$-0.893169\pi$
$157$	−22.0199	+	3.16598i	−1.75738	+	0.252673i	−0.813170	+	0.582026i	$0.802260\pi$
$158$	4.34403	+	4.30535i	0.345592	+	0.342516i
$159$	−2.47532	+	2.85667i	−0.196305	+	0.226548i
$160$	2.95087	−	5.70368i	0.233287	−	0.450915i
$161$	−14.9487	−	19.7943i	−1.17812	−	1.56001i
$162$	0.306789	+	1.38054i	0.0241036	+	0.108465i
$163$	0.183958	+	0.159401i	0.0144087	+	0.0124852i	0.662035	−	0.749473i	$-0.269693\pi$
$163$	0.183958	+	0.159401i	0.0144087	+	0.0124852i	−0.647627	+	0.761958i	$0.724238\pi$
$164$	7.80080	−	12.3803i	0.609140	−	0.966742i
$165$	−0.185814	−	1.29237i	−0.0144656	−	0.100611i
$166$	12.7219	−	9.61257i	0.987412	−	0.746080i
$167$	6.08761	+	0.875266i	0.471073	+	0.0677301i	0.373764	−	0.927524i	$-0.378067\pi$
$167$	6.08761	+	0.875266i	0.471073	+	0.0677301i	0.0973099	+	0.995254i	$0.468976\pi$
$168$	8.60898	−	11.8277i	0.664197	−	0.912528i
$169$	6.02192	+	3.87005i	0.463225	+	0.297697i
$170$	6.90214	+	1.46918i	0.529370	+	0.112681i
$171$	3.99016	+	1.17162i	0.305135	+	0.0895957i
$172$	−6.92277	−	3.08700i	−0.527856	−	0.235382i
$173$	2.84995	+	3.28902i	0.216678	+	0.250060i	0.853674	−	0.520807i	$-0.174369\pi$
$173$	2.84995	+	3.28902i	0.216678	+	0.250060i	−0.636996	+	0.770867i	$0.719823\pi$
$174$	−3.23713	−	0.216980i	−0.245406	−	0.0164492i
$175$	7.97398	−	17.4606i	0.602776	−	1.31990i
$176$	−4.39028	+	1.37486i	−0.330930	+	0.103634i
$177$	−12.6472	+	3.71356i	−0.950623	+	0.279128i
$178$	0.495225	+	6.51464i	0.0371187	+	0.488293i
$179$	−14.3464	+	6.55176i	−1.07230	+	0.489702i	−0.871734	−	0.489979i	$-0.837004\pi$
$179$	−14.3464	+	6.55176i	−1.07230	+	0.489702i	−0.200563	+	0.979681i	$0.564277\pi$
$180$	−1.89897	+	1.24453i	−0.141541	+	0.0927618i
$181$	11.5425	+	17.9605i	0.857949	+	1.33499i	0.940985	+	0.338448i	$0.109902\pi$
$181$	11.5425	+	17.9605i	0.857949	+	1.33499i	−0.0830362	+	0.996547i	$0.526462\pi$
$182$	−28.8937	−	15.6099i	−2.14175	−	1.15708i
$183$	4.39049			0.324555
$184$	12.2375	−	5.85172i	0.902163	−	0.431395i
$185$	4.39093			0.322828
$186$	−11.8865	−	6.42168i	−0.871560	−	0.470861i
$187$	−2.73316	−	4.25287i	−0.199868	−	0.311001i
$188$	17.9520	−	11.7652i	1.30928	−	0.858066i
$189$	−4.70476	+	2.14859i	−0.342221	+	0.156287i
$190$	0.506065	+	6.65724i	0.0367138	+	0.482967i
$191$	−17.1066	+	5.02296i	−1.23779	+	0.363449i	−0.834186	−	0.551483i	$-0.814062\pi$
$191$	−17.1066	+	5.02296i	−1.23779	+	0.363449i	−0.403607	+	0.914932i	$0.632244\pi$
$192$	5.39919	+	5.90328i	0.389653	+	0.426033i
$193$	−2.22808	+	4.87881i	−0.160381	+	0.351185i	−0.972714	−	0.232009i	$-0.925470\pi$
$193$	−2.22808	+	4.87881i	−0.160381	+	0.351185i	0.812333	+	0.583194i	$0.198197\pi$
$194$	0.405201	+	0.0271600i	0.0290917	+	0.00194997i
$195$	3.33778	+	3.85200i	0.239023	+	0.275848i
$196$	36.0779	+	16.0879i	2.57699	+	1.14913i
$197$	21.8992	+	6.43020i	1.56026	+	0.458133i	0.944146	−	0.329527i	$-0.106889\pi$
$197$	21.8992	+	6.43020i	1.56026	+	0.458133i	0.616110	+	0.787660i	$0.288708\pi$
$198$	1.59089	+	0.338633i	0.113060	+	0.0240656i
$199$	5.55676	+	3.57111i	0.393908	+	0.253149i	0.722569	−	0.691298i	$-0.242961\pi$
$199$	5.55676	+	3.57111i	0.393908	+	0.253149i	−0.328661	+	0.944448i	$0.606597\pi$
$200$	8.48694	+	6.17735i	0.600117	+	0.436805i
$201$	−1.39623	−	0.200748i	−0.0984825	−	0.0141597i
$202$	4.40586	−	3.32903i	0.309995	−	0.234230i
$203$	−1.68865	−	11.7448i	−0.118520	−	0.824326i
$204$	−4.68645	+	7.43767i	−0.328117	+	0.520741i
$205$	−6.27717	−	5.43920i	−0.438417	−	0.379890i
$206$	2.80645	+	12.6289i	0.195534	+	0.879896i
$207$	−4.78501	−	0.321920i	−0.332582	−	0.0223750i
$208$	11.5161	−	13.7808i	0.798500	−	0.955528i
$209$	3.13216	−	3.61471i	0.216656	−	0.250034i
$210$	−5.89776	−	5.84525i	−0.406984	−	0.403360i
$211$	7.29891	−	1.04943i	0.502478	−	0.0722454i	0.113585	−	0.993528i	$-0.463767\pi$
$211$	7.29891	−	1.04943i	0.502478	−	0.0722454i	0.388893	+	0.921283i	$0.372858\pi$
$212$	4.89934	−	5.75738i	0.336488	−	0.395419i
$213$	0.168307	−	1.17060i	0.0115322	−	0.0802082i
$214$	−5.01305	−	9.08391i	−0.342685	−	0.620964i
$215$	−2.32607	+	3.61943i	−0.158636	+	0.246843i
$216$	−0.638245	−	2.75548i	−0.0434271	−	0.187486i
$217$	13.9206	−	47.4091i	0.944989	−	3.21834i
$218$	−2.75902	−	2.04619i	−0.186864	−	0.138585i
$219$	1.52035	−	1.31739i	0.102736	−	0.0890209i
$220$	0.394729	+	2.58131i	0.0266126	+	0.174032i
$221$	17.9515	+	8.19818i	1.20755	+	0.551469i
$222$	−1.88864	+	5.13364i	−0.126757	+	0.344547i
$223$	6.50782	+	22.1636i	0.435796	+	1.48418i	0.826114	+	0.563503i	$0.190547\pi$
$223$	6.50782	+	22.1636i	0.435796	+	1.48418i	−0.390318	+	0.920680i	$0.627635\pi$
$224$	−17.0057	+	23.8085i	−1.13624	+	1.59077i
$225$	−1.54171	−	3.37588i	−0.102781	−	0.225059i
$226$	−2.31014	−	6.11013i	−0.153668	−	0.406440i
$227$	12.5938	−	8.09352i	0.835877	−	0.537186i	−0.0512632	−	0.998685i	$-0.516325\pi$
$227$	12.5938	−	8.09352i	0.835877	−	0.537186i	0.887140	+	0.461499i	$0.152688\pi$
$228$	−8.00095	−	2.27177i	−0.529876	−	0.150452i
$229$			1.71924i			0.113611i	0.998385	+	0.0568054i	$0.0180915\pi$
$229$			1.71924i			0.113611i	−0.998385	+	0.0568054i	$0.981909\pi$
$230$	−2.23335	−	7.36845i	−0.147263	−	0.485861i
$231$			5.94865i			0.391392i
$232$	6.47789	+	0.376043i	0.425294	+	0.0246884i
$233$	15.4227	−	9.91158i	1.01038	−	0.649329i	0.0728858	−	0.997340i	$-0.476779\pi$
$233$	15.4227	−	9.91158i	1.01038	−	0.649329i	0.937490	+	0.348011i	$0.113143\pi$
$234$	−5.93921	+	2.24551i	−0.388258	+	0.146794i
$235$	−5.06105	−	11.0822i	−0.330146	−	0.722920i
$236$	25.2270	−	7.65302i	1.64214	−	0.498169i
$237$	1.21842	+	4.14955i	0.0791448	+	0.269542i
$238$	−30.1738	−	11.1008i	−1.95588	−	0.719559i
$239$	−5.26971	−	2.40659i	−0.340869	−	0.155670i	0.237624	−	0.971357i	$-0.423632\pi$
$239$	−5.26971	−	2.40659i	−0.340869	−	0.155670i	−0.578493	+	0.815688i	$0.696359\pi$
$240$	3.77553	−	2.52293i	0.243709	−	0.162854i
$241$	−17.5972	+	15.2480i	−1.13353	+	0.982212i	−0.999961	−	0.00882680i	$-0.997190\pi$
$241$	−17.5972	+	15.2480i	−1.13353	+	0.982212i	−0.133572	+	0.991039i	$0.542645\pi$
$242$	−8.15242	+	10.9925i	−0.524057	+	0.706623i
$243$	−0.281733	+	0.959493i	−0.0180732	+	0.0615515i
$244$	−8.78063	+	0.0785282i	−0.562122	+	0.00502725i
$245$	12.1223	−	18.8626i	0.774463	−	1.20509i
$246$	9.05917	−	4.99940i	0.577592	−	0.318750i
$247$	−2.65720	+	18.4813i	−0.169074	+	1.17593i
$248$	23.8869	+	12.6303i	1.51682	+	0.802022i
$249$	11.1602	−	1.60459i	0.707248	−	0.101687i
$250$	9.84493	−	9.93337i	0.622648	−	0.628241i
$251$	−13.0687	+	15.0821i	−0.824892	+	0.951976i	−0.999466	−	0.0326683i	$-0.989599\pi$
$251$	−13.0687	+	15.0821i	−0.824892	+	0.951976i	0.174575	+	0.984644i	$0.444145\pi$
$252$	9.37071	−	4.38116i	0.590299	−	0.275987i
$253$	−2.62298	+	4.85225i	−0.164906	+	0.305059i
$254$	−4.15814	+	0.924040i	−0.260905	+	0.0579794i
$255$	3.77111	+	3.26768i	0.236156	+	0.204630i
$256$	−10.9035	−	11.7095i	−0.681471	−	0.731845i
$257$	−2.82733	−	19.6645i	−0.176364	−	1.22664i	−0.865091	−	0.501616i	$-0.832739\pi$
$257$	−2.82733	−	19.6645i	−0.176364	−	1.22664i	0.688727	−	0.725021i	$-0.258170\pi$
$258$	−3.23115	−	4.27631i	−0.201162	−	0.266232i
$259$	−19.8017	−	2.84706i	−1.23042	−	0.176907i
$260$	−6.74419	−	7.64400i	−0.418257	−	0.474061i
$261$	−1.92995	−	1.24030i	−0.119461	−	0.0767728i
$262$	−2.44934	+	11.5069i	−0.151321	+	0.710899i
$263$	−13.6362	−	4.00395i	−0.840844	−	0.246894i	−0.167175	−	0.985927i	$-0.553464\pi$
$263$	−13.6362	−	4.00395i	−0.840844	−	0.246894i	−0.673669	+	0.739033i	$0.735283\pi$
$264$	−3.18771	−	0.648785i	−0.196190	−	0.0399300i
$265$	−2.81004	−	3.24296i	−0.172620	−	0.199214i
$266$	2.03432	−	30.3502i	0.124732	−	1.86089i
$267$	−1.91915	+	4.20235i	−0.117450	+	0.257180i
$268$	2.79594	+	0.376506i	0.170789	+	0.0229988i
$269$	−18.6195	+	5.46717i	−1.13525	+	0.333339i	−0.794769	−	0.606912i	$-0.792408\pi$
$269$	−18.6195	+	5.46717i	−1.13525	+	0.333339i	−0.340480	+	0.940252i	$0.610590\pi$
$270$	−1.60083	+	0.121691i	−0.0974236	+	0.00740588i
$271$	0.808688	−	0.369316i	0.0491243	−	0.0224343i	−0.390701	−	0.920517i	$-0.627767\pi$
$271$	0.808688	−	0.369316i	0.0491243	−	0.0224343i	0.439826	+	0.898083i	$0.355040\pi$
$272$	9.23949	−	14.9586i	0.560227	−	0.906997i
$273$	−12.5547	−	19.5355i	−0.759846	−	1.18234i
$274$	0.285848	−	0.529102i	0.0172687	−	0.0319642i
$275$	−4.26844			−0.257396
$276$	9.57540	+	0.558230i	0.576372	+	0.0336015i
$277$	−12.2998			−0.739024			−0.369512	−	0.929226i	$-0.620475\pi$
$277$	−12.2998			−0.739024			−0.369512	+	0.929226i	$0.620475\pi$
$278$	2.42740	−	4.49311i	0.145586	−	0.269479i
$279$	−5.16484	−	8.03665i	−0.309211	−	0.481142i
$280$	11.8996	+	11.5845i	0.711136	+	0.692309i
$281$	4.00989	−	1.83125i	0.239210	−	0.109243i	−0.292203	−	0.956356i	$-0.594388\pi$
$281$	4.00989	−	1.83125i	0.239210	−	0.109243i	0.531413	+	0.847113i	$0.321661\pi$
$282$	15.1335	−	1.15041i	0.901188	−	0.0685059i
$283$	13.1577	−	3.86345i	0.782144	−	0.229658i	0.133803	−	0.991008i	$-0.457281\pi$
$283$	13.1577	−	3.86345i	0.782144	−	0.229658i	0.648341	+	0.761350i	$0.275463\pi$
$284$	−0.315663	+	2.34412i	−0.0187312	+	0.139098i
$285$	−1.96116	+	4.29433i	−0.116169	+	0.254374i
$286$	−0.488398	+	7.28644i	−0.0288796	+	0.430856i
$287$	24.7813	+	28.5991i	1.46279	+	1.68815i
$288$	1.32572	+	5.49931i	0.0781191	+	0.324050i
$289$	2.22645	+	0.653746i	0.130968	+	0.0384556i
$290$	0.766803	−	3.60242i	0.0450282	−	0.211541i
$291$	0.241577	+	0.155252i	0.0141615	+	0.00910105i
$292$	−3.01701	+	2.66186i	−0.176557	+	0.155774i
$293$	−9.88225	−	1.42085i	−0.577327	−	0.0830071i	−0.152535	−	0.988298i	$-0.548744\pi$
$293$	−9.88225	−	1.42085i	−0.577327	−	0.0830071i	−0.424792	+	0.905291i	$0.639653\pi$
$294$	16.8391	+	22.2859i	0.982074	+	1.29974i
$295$	−2.12954	−	14.8113i	−0.123986	−	0.862345i
$296$	3.68531	−	10.3006i	0.214204	−	0.598713i
$297$	0.869211	+	0.753175i	0.0504367	+	0.0437037i
$298$	21.3150	−	4.73671i	1.23474	−	0.274390i
$299$	−1.62681	−	21.4708i	−0.0940809	−	1.24169i
$300$	3.14369	+	6.72392i	0.181501	+	0.388206i
$301$	12.8366	−	14.8143i	0.739892	−	0.853881i
$302$	−6.74696	+	6.80757i	−0.388244	+	0.391732i
$303$	3.86500	−	0.555703i	0.222038	−	0.0319243i
$304$	16.0419	+	4.40025i	0.920065	+	0.252372i
$305$	−0.709325	+	4.93347i	−0.0406159	+	0.282489i
$306$	−5.44244	+	3.00346i	−0.311123	+	0.171697i
$307$	−4.93792	+	7.68355i	−0.281822	+	0.438524i	−0.953088	−	0.302693i	$-0.902114\pi$
$307$	−4.93792	+	7.68355i	−0.281822	+	0.438524i	0.671266	+	0.741216i	$0.265751\pi$
$308$	−0.106397	−	11.8968i	−0.00606255	−	0.677885i
$309$	−2.57724	+	8.77726i	−0.146614	+	0.499321i
$310$	9.13623	−	12.3190i	0.518903	−	0.699673i
$311$	−8.11304	+	7.02999i	−0.460048	+	0.398634i	−0.853815	−	0.520576i	$-0.825717\pi$
$311$	−8.11304	+	7.02999i	−0.460048	+	0.398634i	0.393767	+	0.919210i	$0.371172\pi$
$312$	11.8378	−	4.59708i	0.670182	−	0.260258i
$313$	−23.1546	−	10.5744i	−1.30878	−	0.597698i	−0.365842	−	0.930677i	$-0.619219\pi$
$313$	−23.1546	−	10.5744i	−1.30878	−	0.597698i	−0.942934	+	0.332979i	$0.891946\pi$
$314$	29.5263	+	10.8626i	1.66626	+	0.613011i
$315$	−1.65421	−	5.63372i	−0.0932042	−	0.317424i
$316$	−2.51096	−	8.27698i	−0.141252	−	0.465617i
$317$	−8.66540	−	18.9746i	−0.486697	−	1.06572i	−0.980567	−	0.196183i	$-0.937145\pi$
$317$	−8.66540	−	18.9746i	−0.486697	−	1.06572i	0.493870	−	0.869536i	$-0.335582\pi$
$318$	5.00016	−	1.89047i	0.280395	−	0.106013i
$319$	−2.21969	+	1.42651i	−0.124279	+	0.0798692i
$320$	−7.50563	+	5.11318i	−0.419578	+	0.285835i
$321$		−	7.33649i		−	0.409483i
$322$	5.29405	+	34.6775i	0.295026	+	1.93250i
$323$			18.2792i			1.01708i
$324$	0.546281	−	1.92395i	0.0303490	−	0.106886i
$325$	14.0177	−	9.00860i	0.777560	−	0.499707i
$326$	−0.121739	−	0.321991i	−0.00674251	−	0.0178334i
$327$	−1.00900	−	2.20940i	−0.0557978	−	0.122180i
$328$	−18.0282	+	10.1604i	−0.995441	+	0.561016i
$329$	15.6381	+	53.2586i	0.862158	+	2.93624i
$330$	−0.637536	+	1.73293i	−0.0350952	+	0.0953944i
$331$	13.5723	+	6.19826i	0.746001	+	0.340687i	0.751884	−	0.659296i	$-0.229145\pi$
$331$	13.5723	+	6.19826i	0.746001	+	0.340687i	−0.00588305	+	0.999983i	$0.501873\pi$
$332$	−22.2908	+	3.40867i	−1.22336	+	0.187075i
$333$	−2.92316	+	2.53293i	−0.160188	+	0.138804i
$334$	−6.98611	−	5.18116i	−0.382263	−	0.283500i
$335$	0.451149	−	1.53647i	0.0246489	−	0.0839464i
$336$	−18.6623	+	8.92957i	−1.01811	+	0.487148i
$337$	−14.6246	+	22.7563i	−0.796651	+	1.23961i	0.170487	+	0.985360i	$0.445466\pi$
$337$	−14.6246	+	22.7563i	−0.796651	+	1.23961i	−0.967138	+	0.254253i	$0.918170\pi$
$338$	−4.89128	−	8.86325i	−0.266050	−	0.482097i
$339$	0.657353	−	4.57199i	0.0357025	−	0.248316i
$340$	−7.60035	−	6.46765i	−0.412187	−	0.350758i
$341$	−10.8756	+	1.56367i	−0.588945	+	0.0846775i
$342$	−4.17716	−	4.13997i	−0.225875	−	0.223864i
$343$	−43.1887	+	49.8424i	−2.33197	+	2.69124i
$344$	6.53852	+	8.49449i	0.352533	+	0.457992i
$345$	1.13480	−	5.32477i	0.0610954	−	0.286676i
$346$	−1.33515	−	6.00809i	−0.0717779	−	0.322997i
$347$	−6.88518	−	5.96604i	−0.369616	−	0.320274i	0.450171	−	0.892942i	$-0.351363\pi$
$347$	−6.88518	−	5.96604i	−0.369616	−	0.320274i	−0.819787	+	0.572668i	$0.805908\pi$
$348$	3.88193	+	2.44599i	0.208093	+	0.131119i
$349$	0.162849	+	1.13264i	0.00871712	+	0.0606289i	0.993716	−	0.111934i	$-0.0357044\pi$
$349$	0.162849	+	1.13264i	0.00871712	+	0.0606289i	−0.984999	+	0.172563i	$0.944795\pi$
$350$	−21.6586	+	16.3651i	−1.15770	+	0.874751i
$351$	−4.44410	−	0.638965i	−0.237208	−	0.0341054i
$352$	6.38676	+	1.24050i	0.340416	+	0.0661191i
$353$	26.6453	+	17.1239i	1.41819	+	0.911414i	0.999995	+	0.00305603i	$0.000972766\pi$
$353$	26.6453	+	17.1239i	1.41819	+	0.911414i	0.418193	+	0.908358i	$0.362664\pi$
$354$	18.2325	+	3.88093i	0.969045	+	0.206269i
$355$	1.28818	+	0.378243i	0.0683694	+	0.0200751i
$356$	3.76298	−	8.43869i	0.199438	−	0.447250i
$357$	−14.8877	−	17.1814i	−0.787943	−	0.909335i
$358$	22.2545	+	1.49168i	1.17619	+	0.0788379i
$359$	1.48872	−	3.25985i	0.0785718	−	0.172048i	−0.866269	−	0.499577i	$-0.833489\pi$
$359$	1.48872	−	3.25985i	0.0785718	−	0.172048i	0.944841	+	0.327529i	$0.106216\pi$
$360$	3.19936	−	0.272005i	0.168621	−	0.0143359i
$361$	1.63687	−	0.480629i	0.0861511	−	0.0252963i
$362$	−2.28859	−	30.1062i	−0.120286	−	1.58235i
$363$	−8.80269	+	4.02005i	−0.462021	+	0.210998i
$364$	25.4578	+	38.8449i	1.33435	+	2.03603i
$365$	1.23468	+	1.92121i	0.0646263	+	0.100561i
$366$	−5.46284	−	2.95130i	−0.285547	−	0.154267i
$367$	−29.6753			−1.54904			−0.774519	−	0.632551i	$-0.782008\pi$
$367$	−29.6753			−1.54904			−0.774519	+	0.632551i	$0.782008\pi$
$368$	−19.1600	−	0.945150i	−0.998786	−	0.0492693i
$369$	7.31651			0.380882
$370$	−5.46339	−	2.95160i	−0.284028	−	0.153446i
$371$	10.5697	+	16.4468i	0.548751	+	0.853873i
$372$	10.4730	+	15.9803i	0.543000	+	0.828539i
$373$	12.3338	−	5.63267i	0.638621	−	0.291648i	−0.0696690	−	0.997570i	$-0.522194\pi$
$373$	12.3338	−	5.63267i	0.638621	−	0.291648i	0.708290	+	0.705922i	$0.249467\pi$
$374$	0.541916	+	7.12885i	0.0280218	+	0.368624i
$375$	9.48866	−	2.78612i	0.489992	−	0.143875i
$376$	−30.2453	+	2.57140i	−1.55978	+	0.132610i
$377$	4.27886	−	9.36939i	0.220372	−	0.482548i
$378$	7.29815	+	0.489183i	0.375376	+	0.0251609i
$379$	−16.2035	−	18.6998i	−0.832316	−	0.960543i	0.167363	−	0.985895i	$-0.446475\pi$
$379$	−16.2035	−	18.6998i	−0.832316	−	0.960543i	−0.999679	+	0.0253519i	$0.991929\pi$
$380$	3.84535	−	8.62340i	0.197262	−	0.442371i
$381$	−2.88997	−	0.848571i	−0.148057	−	0.0434736i
$382$	24.6613	+	5.24935i	1.26178	+	0.268580i
$383$	18.2475	+	11.7270i	0.932404	+	0.599220i	0.916231	−	0.400649i	$-0.131215\pi$
$383$	18.2475	+	11.7270i	0.932404	+	0.599220i	0.0161729	+	0.999869i	$0.494852\pi$
$384$	−2.74970	−	10.9745i	−0.140320	−	0.560039i
$385$	−6.68432	−	0.961061i	−0.340665	−	0.0489802i
$386$	6.05183	−	4.57271i	0.308030	−	0.232745i
$387$	−0.539363	−	3.75135i	−0.0274174	−	0.190692i
$388$	−0.485912	−	0.306171i	−0.0246684	−	0.0155435i
$389$	19.2559	+	16.6853i	0.976312	+	0.845979i	0.988078	−	0.153951i	$-0.0491999\pi$
$389$	19.2559	+	16.6853i	0.976312	+	0.845979i	−0.0117661	+	0.999931i	$0.503745\pi$
$390$	−1.56368	−	7.03650i	−0.0791801	−	0.356307i
$391$	−4.56787	−	20.5792i	−0.231007	−	1.04074i
$392$	−34.0754	−	44.2689i	−1.72107	−	2.23592i
$393$	−5.44772	+	6.28700i	−0.274801	+	0.317137i
$394$	−22.9256	−	22.7215i	−1.15497	−	1.14469i
$395$	−4.85958	+	0.698702i	−0.244512	+	0.0351555i
$396$	−1.75182	−	1.49074i	−0.0880324	−	0.0749127i
$397$	4.12916	−	28.7189i	0.207236	−	1.44136i	−0.574885	−	0.818234i	$-0.694953\pi$
$397$	4.12916	−	28.7189i	0.207236	−	1.44136i	0.782121	−	0.623126i	$-0.214138\pi$
$398$	−4.51345	−	8.17861i	−0.226239	−	0.409957i
$399$	11.6286	−	18.0945i	0.582159	−	0.905857i
$400$	−6.40739	−	13.3911i	−0.320369	−	0.669554i
$401$	−1.34493	+	4.58040i	−0.0671624	+	0.228734i	−0.986234	−	0.165357i	$-0.947122\pi$
$401$	−1.34493	+	4.58040i	−0.0671624	+	0.228734i	0.919071	+	0.394091i	$0.128941\pi$
$402$	1.60231	+	1.18833i	0.0799159	+	0.0592685i
$403$	32.4155	−	28.0882i	1.61473	−	1.39917i
$404$	−7.71974	+	1.18049i	−0.384072	+	0.0587316i
$405$	−1.03264	−	0.471590i	−0.0513122	−	0.0234335i
$406$	−5.79383	+	15.7486i	−0.287543	+	0.781588i
$407$	1.25331	+	4.26838i	0.0621243	+	0.211576i
$408$	10.8307	−	6.10403i	0.536200	−	0.302195i
$409$	−3.25892	−	7.13604i	−0.161143	−	0.352855i	0.811787	−	0.583954i	$-0.198495\pi$
$409$	−3.25892	−	7.13604i	−0.161143	−	0.352855i	−0.972930	+	0.231099i	$0.925768\pi$
$410$	4.15408	+	10.9872i	0.205155	+	0.542620i
$411$	0.357734	−	0.229902i	0.0176457	−	0.0113402i
$412$	4.99727	−	17.5999i	0.246198	−	0.867085i
$413$			68.1749i			3.35467i
$414$	5.73733	+	3.61705i	0.281974	+	0.177768i
$415$			12.7996i			0.628308i
$416$	−23.5924	+	9.40551i	−1.15671	+	0.461143i
$417$	3.03786	−	1.95232i	0.148765	−	0.0956053i
$418$	−6.32699	+	2.39213i	−0.309463	+	0.117003i
$419$	−6.07868	−	13.3104i	−0.296963	−	0.650258i	0.701061	−	0.713102i	$-0.252710\pi$
$419$	−6.07868	−	13.3104i	−0.296963	−	0.650258i	−0.998023	+	0.0628439i	$0.979983\pi$
$420$	3.40905	+	11.2374i	0.166345	+	0.548329i
$421$	8.88773	+	30.2688i	0.433162	+	1.47521i	0.830228	+	0.557423i	$0.188210\pi$
$421$	8.88773	+	30.2688i	0.433162	+	1.47521i	−0.397067	+	0.917790i	$0.629972\pi$
$422$	−9.78705	−	3.60061i	−0.476426	−	0.175275i
$423$	9.76207	+	4.45819i	0.474648	+	0.216765i
$424$	−9.96611	+	3.87023i	−0.483997	+	0.187955i
$425$	12.3284	−	10.6827i	0.598017	−	0.518185i
$426$	−0.996296	+	1.34338i	−0.0482707	+	0.0650868i
$427$	6.39767	−	21.7885i	0.309605	−	1.05442i
$428$	0.131220	+	14.6724i	0.00634277	+	0.709217i
$429$	−2.79179	+	4.34411i	−0.134789	+	0.209736i
$430$	5.32719	−	2.93986i	0.256900	−	0.141773i
$431$	4.30131	−	29.9163i	0.207187	−	1.44102i	−0.575093	−	0.818088i	$-0.695034\pi$
$431$	4.30131	−	29.9163i	0.207187	−	1.44102i	0.782280	−	0.622927i	$-0.214057\pi$
$432$	−1.05811	+	3.85751i	−0.0509082	+	0.185595i
$433$	−17.4337	+	2.50658i	−0.837809	+	0.120459i	−0.547846	−	0.836579i	$-0.684552\pi$
$433$	−17.4337	+	2.50658i	−0.837809	+	0.120459i	−0.289963	+	0.957038i	$0.593643\pi$
$434$	−49.1891	+	49.6310i	−2.36115	+	2.38236i
$435$	1.70549	−	1.96824i	0.0817722	−	0.0943701i
$436$	2.05743	+	4.40057i	0.0985332	+	0.210749i
$437$	17.4639	−	9.63199i	0.835411	−	0.460761i
$438$	−2.77724	+	0.617170i	−0.132701	+	0.0294895i
$439$	−12.1001	−	10.4848i	−0.577508	−	0.500413i	0.316423	−	0.948618i	$-0.397518\pi$
$439$	−12.1001	−	10.4848i	−0.577508	−	0.500413i	−0.893931	+	0.448205i	$0.852063\pi$
$440$	1.24403	−	3.47712i	0.0593066	−	0.165765i
$441$	2.81088	+	19.5501i	0.133852	+	0.930959i
$442$	−16.8252	−	22.2676i	−0.800294	−	1.05916i
$443$	−36.1277	−	5.19438i	−1.71648	−	0.246792i	−0.787339	−	0.616520i	$-0.788542\pi$
$443$	−36.1277	−	5.19438i	−1.71648	−	0.246792i	−0.929140	+	0.369728i	$0.879451\pi$
$444$	5.80078	−	5.11794i	0.275293	−	0.242887i
$445$	−4.41200	−	2.83542i	−0.209149	−	0.134412i
$446$	6.80113	−	31.9515i	0.322043	−	1.51295i
$447$	14.8142	+	4.34985i	0.700689	+	0.205741i
$448$	37.1634	−	18.1922i	1.75581	−	0.859501i
$449$	−9.50314	−	10.9672i	−0.448481	−	0.517574i	0.485821	−	0.874059i	$-0.338521\pi$
$449$	−9.50314	−	10.9672i	−0.448481	−	0.517574i	−0.934301	+	0.356484i	$0.883975\pi$
$450$	−0.351012	+	5.23677i	−0.0165469	+	0.246864i
$451$	3.49569	−	7.65450i	0.164606	−	0.360436i
$452$	−1.23288	+	9.15537i	−0.0579897	+	0.430632i
$453$	−6.50280	+	1.90939i	−0.305528	+	0.0897112i
$454$	−21.1102	+	1.60474i	−0.990751	+	0.0753142i
$455$	23.9798	−	10.9512i	1.12419	−	0.513401i
$456$	8.42804	+	8.20490i	0.394679	+	0.384230i
$457$	0.143448	+	0.223209i	0.00671019	+	0.0104413i	0.844592	−	0.535410i	$-0.179843\pi$
$457$	0.143448	+	0.223209i	0.00671019	+	0.0104413i	−0.837882	+	0.545851i	$0.816206\pi$
$458$	1.15568	−	2.13916i	0.0540014	−	0.0999562i
$459$	−4.39550			−0.205165
$460$	−2.17426	+	10.6694i	−0.101376	+	0.497464i
$461$	−36.1066			−1.68165			−0.840826	−	0.541305i	$-0.817930\pi$
$461$	−36.1066			−1.68165			−0.840826	+	0.541305i	$0.817930\pi$
$462$	3.99870	−	7.40157i	0.186037	−	0.344352i
$463$	14.0316	+	21.8336i	0.652105	+	1.01469i	0.997101	+	0.0760907i	$0.0242439\pi$
$463$	14.0316	+	21.8336i	0.652105	+	1.01469i	−0.344996	+	0.938604i	$0.612120\pi$
$464$	−7.80729	−	4.82235i	−0.362445	−	0.223872i
$465$	9.86497	−	4.50518i	0.457477	−	0.208923i
$466$	−25.8522	+	1.96522i	−1.19758	+	0.0910369i
$467$	19.2511	−	5.65263i	0.890835	−	0.261573i	0.195881	−	0.980628i	$-0.437243\pi$
$467$	19.2511	−	5.65263i	0.890835	−	0.261573i	0.694953	+	0.719055i	$0.255425\pi$
$468$	8.89927	+	1.19839i	0.411369	+	0.0553957i
$469$	−3.03078	+	6.63648i	−0.139948	+	0.306444i
$470$	−1.15228	+	17.1910i	−0.0531508	+	0.792959i
$471$	14.5682	+	16.8126i	0.671269	+	0.774685i
$472$	−36.5329	−	7.43544i	−1.68156	−	0.342244i
$473$	−4.18235	−	1.22805i	−0.192305	−	0.0564657i
$474$	1.27333	−	5.98208i	0.0584862	−	0.274766i
$475$	12.9836	+	8.34408i	0.595731	+	0.382853i
$476$	30.0816	+	34.0951i	1.37879	+	1.56275i
$477$	3.74144	+	0.537938i	0.171309	+	0.0246305i
$478$	4.93908	+	6.53670i	0.225908	+	0.298982i
$479$	−1.71558	−	11.9321i	−0.0783867	−	0.545191i	−0.990738	−	0.135784i	$-0.956645\pi$
$479$	−1.71558	−	11.9321i	−0.0783867	−	0.545191i	0.912352	−	0.409407i	$-0.134264\pi$
$480$	−6.39360	+	0.601211i	−0.291827	+	0.0274414i
$481$	−13.1244	−	11.3723i	−0.598420	−	0.518534i
$482$	32.1450	−	7.14339i	1.46416	−	0.325373i
$483$	−8.57013	+	23.2772i	−0.389954	+	1.05915i
$484$	17.5328	−	8.19723i	0.796944	−	0.372601i
$485$	−0.213481	+	0.246371i	−0.00969369	+	0.0111871i
$486$	0.995518	−	1.00446i	0.0451576	−	0.0455633i
$487$	−5.85038	+	0.841158i	−0.265106	+	0.0381165i	−0.273586	−	0.961848i	$-0.588210\pi$
$487$	−5.85038	+	0.841158i	−0.265106	+	0.0381165i	0.00847984	+	0.999964i	$0.497301\pi$
$488$	10.9780	+	5.80466i	0.496952	+	0.262765i
$489$	0.0346411	−	0.240934i	0.00156652	−	0.0108954i
$490$	−27.7626	+	15.3211i	−1.25418	+	0.692135i
$491$	−8.89367	+	13.8388i	−0.401366	+	0.624537i	−0.981833	−	0.189746i	$-0.939233\pi$
$491$	−8.89367	+	13.8388i	−0.401366	+	0.624537i	0.580468	+	0.814283i	$0.302870\pi$
$492$	−14.6324	+	0.130863i	−0.659681	+	0.00589975i
$493$	2.84096	−	9.67541i	0.127950	−	0.435759i
$494$	15.7294	−	21.2090i	0.707698	−	0.954238i
$495$	−0.986750	+	0.855024i	−0.0443511	+	0.0384305i
$496$	−21.2310	−	31.7720i	−0.953300	−	1.42660i
$497$	−5.56402	−	2.54100i	−0.249581	−	0.113980i
$498$	−14.9646	−	5.50541i	−0.670580	−	0.246703i
$499$	−0.828477	−	2.82153i	−0.0370877	−	0.126309i	0.938868	−	0.344276i	$-0.111876\pi$
$499$	−0.828477	−	2.82153i	−0.0370877	−	0.126309i	−0.975956	+	0.217967i	$0.930057\pi$
$500$	−18.9267	+	5.74174i	−0.846429	+	0.256778i
$501$	−2.55489	−	5.59443i	−0.114144	−	0.249941i
$502$	26.3990	−	9.98099i	1.17824	−	0.445474i
$503$	−17.5416	+	11.2733i	−0.782143	+	0.502653i	−0.869744	−	0.493503i	$-0.835716\pi$
$503$	−17.5416	+	11.2733i	−0.782143	+	0.502653i	0.0876011	+	0.996156i	$0.472080\pi$
$504$	−14.6045	−	0.847793i	−0.650535	−	0.0377637i
$505$			4.43276i			0.197255i
$506$	6.52533	−	4.27421i	0.290086	−	0.190012i
$507$		−	7.15827i		−	0.317910i
$508$	5.79488	+	1.64538i	0.257106	+	0.0730021i
$509$	28.0092	−	18.0004i	1.24149	−	0.797854i	0.255846	−	0.966718i	$-0.417646\pi$
$509$	28.0092	−	18.0004i	1.24149	−	0.797854i	0.985639	+	0.168863i	$0.0540096\pi$
$510$	−2.49563	−	6.60074i	−0.110508	−	0.292286i
$511$	−4.32234	−	9.46460i	−0.191209	−	0.418689i
$512$	5.69548	+	21.8989i	0.251707	+	0.967804i
$513$	−1.17162	−	3.99016i	−0.0517281	−	0.176170i
$514$	−9.70065	+	26.3679i	−0.427877	+	1.16304i
$515$	−9.44637	−	4.31401i	−0.416257	−	0.190098i
$516$	1.14578	+	7.49276i	0.0504402	+	0.329850i
$517$	9.32827	−	8.08299i	0.410257	−	0.355490i
$518$	22.7243	+	16.8532i	0.998451	+	0.740487i
$519$	1.22610	−	4.17571i	0.0538198	−	0.183293i
$520$	3.25309	+	14.0445i	0.142658	+	0.615891i
$521$	−0.112254	+	0.174670i	−0.00491793	+	0.00765245i	−0.843704	−	0.536809i	$-0.819630\pi$
$521$	−0.112254	+	0.174670i	−0.00491793	+	0.00765245i	0.838786	+	0.544461i	$0.183266\pi$
$522$	1.56759	+	2.84056i	0.0686116	+	0.124328i
$523$	−3.92435	+	27.2944i	−0.171600	+	1.19350i	0.703906	+	0.710294i	$0.251438\pi$
$523$	−3.92435	+	27.2944i	−0.171600	+	1.19350i	−0.875505	+	0.483209i	$0.839471\pi$
$524$	10.7826	−	12.6709i	0.471038	−	0.553533i
$525$	−18.9998	+	2.73176i	−0.829221	+	0.119224i
$526$	14.2753	+	14.1482i	0.622432	+	0.616890i
$527$	27.4983	−	31.7347i	1.19784	−	1.38239i
$528$	3.53017	+	2.95003i	0.153631	+	0.128384i
$529$	−17.2544	+	15.2081i	−0.750190	+	0.661222i
$530$	1.31645	+	5.92396i	0.0571828	+	0.257320i
$531$	9.96164	+	8.63181i	0.432298	+	0.374589i
$532$	−22.9327	+	36.3955i	−0.994258	+	1.57795i
$533$	4.67499	+	32.5153i	0.202496	+	1.40839i
$534$	5.21272	−	3.93869i	0.225577	−	0.170444i
$535$	8.24380	+	1.18528i	0.356410	+	0.0512441i
$536$	−3.22574	−	2.34791i	−0.139331	−	0.101414i
$537$	13.2679	+	8.52678i	0.572553	+	0.367958i
$538$	26.8422	+	5.71358i	1.15725	+	0.246330i
$539$	21.7962	+	6.39995i	0.938831	+	0.275666i
$540$	2.07363	+	0.924672i	0.0892347	+	0.0397915i
$541$	−18.4660	−	21.3109i	−0.793914	−	0.916225i	0.204117	−	0.978946i	$-0.434568\pi$
$541$	−18.4660	−	21.3109i	−0.793914	−	0.916225i	−0.998031	+	0.0627210i	$0.980022\pi$
$542$	−1.25446	−	0.0840845i	−0.0538837	−	0.00361174i
$543$	8.86899	−	19.4204i	0.380605	−	0.833408i
$544$	−21.5514	+	12.4013i	−0.924008	+	0.531701i
$545$	2.64565	−	0.776833i	0.113327	−	0.0332759i
$546$	2.48928	+	32.7463i	0.106531	+	1.40141i
$547$	2.56376	−	1.17083i	0.109618	−	0.0500610i	−0.359851	−	0.933010i	$-0.617173\pi$
$547$	2.56376	−	1.17083i	0.109618	−	0.0500610i	0.469469	+	0.882949i	$0.344445\pi$
$548$	−0.711328	+	0.466184i	−0.0303864	+	0.0199144i
$549$	−2.37368	−	3.69352i	−0.101306	−	0.157635i
$550$	5.31098	+	2.86926i	0.226461	+	0.122346i
$551$	9.54041			0.406435
$552$	−11.5389	−	7.13119i	−0.491128	−	0.303524i
$553$	22.3682			0.951192
$554$	15.3040	+	8.26798i	0.650203	+	0.351273i
$555$	−2.37392	−	3.69389i	−0.100767	−	0.156797i
$556$	−6.04056	+	3.95881i	−0.256177	+	0.167891i
$557$	6.49642	−	2.96682i	0.275262	−	0.125708i	−0.273001	−	0.962014i	$-0.588016\pi$
$557$	6.49642	−	2.96682i	0.275262	−	0.125708i	0.548264	+	0.836306i	$0.315289\pi$
$558$	1.02406	+	13.4714i	0.0433518	+	0.570289i
$559$	16.3267	−	4.79397i	0.690548	−	0.202763i
$560$	−7.01882	−	22.4129i	−0.296599	−	0.947119i
$561$	−2.10009	+	4.59856i	−0.0886659	+	0.194151i
$562$	−6.22025	−	0.416933i	−0.262385	−	0.0175873i
$563$	16.4345	+	18.9664i	0.692632	+	0.799340i	0.987737	−	0.156125i	$-0.0499002\pi$
$563$	16.4345	+	18.9664i	0.692632	+	0.799340i	−0.295105	+	0.955465i	$0.595355\pi$
$564$	−19.6031	−	8.74142i	−0.825439	−	0.368080i
$565$	5.03121	+	1.47730i	0.211665	+	0.0621503i
$566$	−18.9684	−	4.03758i	−0.797302	−	0.169712i
$567$	4.35109	+	2.79628i	0.182729	+	0.117433i
$568$	1.96849	−	2.70446i	0.0825958	−	0.113477i
$569$	−4.79929	−	0.690034i	−0.201197	−	0.0289277i	0.0409796	−	0.999160i	$-0.486952\pi$
$569$	−4.79929	−	0.690034i	−0.201197	−	0.0289277i	−0.242176	+	0.970232i	$0.577861\pi$
$570$	5.32682	−	4.02490i	0.223116	−	0.168585i
$571$	3.96785	+	27.5970i	0.166049	+	1.15490i	0.886952	+	0.461862i	$0.152819\pi$
$571$	3.96785	+	27.5970i	0.166049	+	1.15490i	−0.720902	+	0.693037i	$0.756272\pi$
$572$	5.50566	−	8.73780i	0.230203	−	0.365346i
$573$	13.4741	+	11.6754i	0.562890	+	0.487747i
$574$	−11.6095	−	52.2424i	−0.484573	−	2.18056i
$575$	−16.7025	−	6.14947i	−0.696543	−	0.256451i
$576$	2.04713	−	7.73364i	0.0852972	−	0.322235i
$577$	0.389762	−	0.449810i	0.0162260	−	0.0187258i	−0.747579	−	0.664173i	$-0.768784\pi$
$577$	0.389762	−	0.449810i	0.0162260	−	0.0187258i	0.763805	+	0.645448i	$0.223329\pi$
$578$	−2.33080	−	2.31005i	−0.0969486	−	0.0960854i
$579$	5.30891	−	0.763306i	0.220631	−	0.0317219i
$580$	−3.37565	+	3.96684i	−0.140166	+	0.164714i
$581$	8.29919	−	57.7222i	0.344309	−	2.39472i
$582$	−0.196220	−	0.355561i	−0.00813357	−	0.0147385i
$583$	2.35038	−	3.65726i	0.0973427	−	0.151468i
$584$	5.54321	−	1.28396i	0.229380	−	0.0531308i
$585$	1.43597	−	4.89047i	0.0593701	−	0.202196i
$586$	11.3408	+	8.41077i	0.468485	+	0.347446i
$587$	15.1943	−	13.1660i	0.627137	−	0.543418i	−0.282264	−	0.959337i	$-0.591086\pi$
$587$	15.1943	−	13.1660i	0.627137	−	0.543418i	0.909402	+	0.415919i	$0.136540\pi$
$588$	−5.97122	−	39.0484i	−0.246249	−	1.61033i
$589$	36.1378	+	16.5036i	1.48903	+	0.680018i
$590$	−7.30652	+	19.8603i	−0.300804	+	0.817636i
$591$	−6.43020	−	21.8992i	−0.264503	−	0.900814i
$592$	−11.5096	+	10.3392i	−0.473040	+	0.424940i
$593$	−12.2142	−	26.7453i	−0.501577	−	1.09830i	−0.975954	−	0.217978i	$-0.930054\pi$
$593$	−12.2142	−	26.7453i	−0.501577	−	1.09830i	0.474377	−	0.880322i	$-0.342673\pi$
$594$	−0.575223	−	1.52142i	−0.0236017	−	0.0624246i
$595$	21.7115	−	13.9531i	0.890083	−	0.572022i
$596$	−29.7051	−	8.43438i	−1.21677	−	0.345486i
$597$		−	6.60533i		−	0.270338i
$598$	−12.4086	+	27.8084i	−0.507424	+	1.13717i
$599$		−	20.7925i		−	0.849558i	−0.905297	−	0.424779i	$-0.860352\pi$
$599$		−	20.7925i		−	0.849558i	0.905297	−	0.424779i	$-0.139648\pi$
$600$	0.608332	−	10.4794i	0.0248350	−	0.427820i
$601$	−4.60885	+	2.96193i	−0.187999	+	0.120820i	−0.631255	−	0.775576i	$-0.717460\pi$
$601$	−4.60885	+	2.96193i	−0.187999	+	0.120820i	0.443256	+	0.896395i	$0.353823\pi$
$602$	−25.9301	+	9.80374i	−1.05683	+	0.399570i
$603$	0.585980	+	1.28312i	0.0238629	+	0.0522526i
$604$	12.9709	−	3.93495i	0.527780	−	0.160111i
$605$	−3.09506	−	10.5408i	−0.125832	−	0.428545i
$606$	−5.18254	−	1.90663i	−0.210526	−	0.0774517i
$607$	18.4546	+	8.42792i	0.749048	+	0.342079i	0.753094	−	0.657913i	$-0.228561\pi$
$607$	18.4546	+	8.42792i	0.749048	+	0.342079i	−0.00404573	+	0.999992i	$0.501288\pi$
$608$	−17.0022	−	16.2584i	−0.689528	−	0.659365i
$609$	−8.96744	+	7.77033i	−0.363379	+	0.314870i
$610$	4.19887	−	5.66162i	0.170007	−	0.229232i
$611$	−13.5750	+	46.2322i	−0.549186	+	1.87036i
$612$	8.79065	−	0.0786178i	0.355341	−	0.00317794i
$613$	25.5051	−	39.6867i	1.03014	−	1.60293i	0.259410	−	0.965767i	$-0.416472\pi$
$613$	25.5051	−	39.6867i	1.03014	−	1.60293i	0.770730	−	0.637162i	$-0.219892\pi$
$614$	11.3089	−	6.24093i	0.456390	−	0.251863i
$615$	−1.18205	+	8.22134i	−0.0476649	+	0.331517i
$616$	−7.86470	+	14.8741i	−0.316878	+	0.599293i
$617$	28.0935	−	4.03923i	1.13100	−	0.162613i	0.448698	−	0.893684i	$-0.351888\pi$
$617$	28.0935	−	4.03923i	1.13100	−	0.162613i	0.682302	+	0.731070i	$0.260979\pi$
$618$	9.10681	−	9.18862i	0.366330	−	0.369621i
$619$	13.7143	−	15.8272i	0.551225	−	0.636147i	−0.409943	−	0.912111i	$-0.634452\pi$
$619$	13.7143	−	15.8272i	0.551225	−	0.636147i	0.961168	+	0.275964i	$0.0889970\pi$
$620$	−19.6486	+	9.18645i	−0.789106	+	0.368937i
$621$	2.31616	+	4.19945i	0.0929442	+	0.168518i
$622$	14.8202	−	3.29341i	0.594235	−	0.132054i
$623$	18.0583	+	15.6476i	0.723489	+	0.626906i
$624$	−17.8193	−	2.23751i	−0.713341	−	0.0895723i
$625$	−1.04314	−	7.25518i	−0.0417255	−	0.290207i
$626$	21.7019	+	28.7217i	0.867381	+	1.14795i
$627$	−4.73426	−	0.680684i	−0.189068	−	0.0271839i
$628$	−29.4360	−	33.3634i	−1.17462	−	1.33134i
$629$	−14.3024	−	9.19161i	−0.570275	−	0.366494i
$630$	−1.72877	+	8.12169i	−0.0688757	+	0.323576i
$631$	−29.2279	−	8.58208i	−1.16354	−	0.341647i	−0.357735	−	0.933823i	$-0.616451\pi$
$631$	−29.2279	−	8.58208i	−1.16354	−	0.341647i	−0.805809	+	0.592176i	$0.798269\pi$
$632$	−2.43957	+	11.9865i	−0.0970409	+	0.476796i
$633$	−4.82892	−	5.57287i	−0.191932	−	0.221502i
$634$	−1.97291	+	29.4339i	−0.0783542	+	1.16897i
$635$	1.42042	−	3.11028i	0.0563675	−	0.123428i
$636$	−7.49220	−	1.00891i	−0.297085	−	0.0400060i
$637$	−85.0866	+	24.9837i	−3.37125	+	0.989890i
$638$	3.72074	−	0.282841i	0.147306	−	0.0111978i
$639$	−1.07577	+	0.491285i	−0.0425566	+	0.0194350i
$640$	12.7759	−	1.31673i	0.505013	−	0.0520483i
$641$	7.27638	+	11.3223i	0.287400	+	0.447203i	0.954693	−	0.297592i	$-0.0961836\pi$
$641$	7.27638	+	11.3223i	0.287400	+	0.447203i	−0.667293	+	0.744795i	$0.732547\pi$
$642$	−4.93161	+	9.12838i	−0.194635	+	0.360269i
$643$	7.98590			0.314933			0.157467	−	0.987524i	$-0.449667\pi$
$643$	7.98590			0.314933			0.157467	+	0.987524i	$0.449667\pi$
$644$	16.7232	−	46.7059i	0.658988	−	1.84047i
$645$	4.30243			0.169408
$646$	12.2873	−	22.7438i	0.483438	−	0.894841i
$647$	−8.98051	−	13.9739i	−0.353060	−	0.549372i	0.618615	−	0.785695i	$-0.287694\pi$
$647$	−8.98051	−	13.9739i	−0.353060	−	0.549372i	−0.971675	+	0.236322i	$0.924058\pi$
$648$	−1.97299	+	2.02665i	−0.0775064	+	0.0796143i
$649$	13.7900	−	6.29770i	0.541307	−	0.247207i
$650$	−23.4970	+	1.78618i	−0.921628	+	0.0700597i
$651$	−47.4091	+	13.9206i	−1.85811	+	0.545590i
$652$	−0.0649701	+	0.482468i	−0.00254442	+	0.0188949i
$653$	0.373120	−	0.817020i	0.0146013	−	0.0319725i	−0.902191	−	0.431337i	$-0.858042\pi$
$653$	0.373120	−	0.817020i	0.0146013	−	0.0319725i	0.916792	+	0.399365i	$0.130769\pi$
$654$	−0.229725	+	3.42728i	−0.00898297	+	0.134017i
$655$	−6.18439	−	7.13716i	−0.241644	−	0.278872i
$656$	29.2613	−	0.523430i	1.14246	−	0.0204365i
$657$	−1.93022	−	0.566764i	−0.0753050	−	0.0221116i
$658$	16.3429	−	76.7786i	0.637114	−	2.99314i
$659$	11.8943	+	7.64397i	0.463334	+	0.297767i	0.751404	−	0.659843i	$-0.229377\pi$
$659$	11.8943	+	7.64397i	0.463334	+	0.297767i	−0.288070	+	0.957609i	$0.593013\pi$
$660$	1.95813	−	1.72763i	0.0762200	−	0.0672478i
$661$	31.2007	+	4.48598i	1.21357	+	0.174484i	0.719221	−	0.694782i	$-0.244499\pi$
$661$	31.2007	+	4.48598i	1.21357	+	0.174484i	0.494345	+	0.869266i	$0.335408\pi$
$662$	−12.7208	−	16.8355i	−0.494406	−	0.654330i
$663$	−2.80857	−	19.5340i	−0.109076	−	0.758639i
$664$	30.0265	+	10.7427i	1.16525	+	0.416898i
$665$	18.4535	+	15.9901i	0.715597	+	0.620068i
$666$	5.33977	−	1.18663i	0.206912	−	0.0459808i
$667$	−10.7409	+	2.38410i	−0.415888	+	0.0923127i
$668$	5.20964	+	11.1427i	0.201567	+	0.431125i
$669$	15.1268	−	17.4573i	0.584836	−	0.674937i
$670$	−1.59416	+	1.60848i	−0.0615878	+	0.0621410i
$671$	−4.99824	+	0.718638i	−0.192955	+	0.0277427i
$672$	29.2229	+	1.43430i	1.12730	+	0.0553295i
$673$	−0.710158	+	4.93926i	−0.0273746	+	0.190394i	−0.998920	−	0.0464580i	$-0.985207\pi$
$673$	−0.710158	+	4.93926i	−0.0273746	+	0.190394i	0.971546	+	0.236852i	$0.0761157\pi$
$674$	33.4934	−	18.4837i	1.29012	−	0.711964i
$675$	−2.00646	+	3.12211i	−0.0772287	+	0.120170i
$676$	0.128033	+	14.3160i	0.00492433	+	0.550614i
$677$	1.60980	−	5.48248i	0.0618697	−	0.210709i	−0.922757	−	0.385383i	$-0.874069\pi$
$677$	1.60980	−	5.48248i	0.0618697	−	0.210709i	0.984626	+	0.174675i	$0.0558874\pi$
$678$	−3.89121	+	5.24680i	−0.149441	+	0.201502i
$679$	1.12248	−	0.972634i	0.0430768	−	0.0373263i
$680$	5.10912	+	13.1563i	0.195926	+	0.504522i
$681$	−13.6174	−	6.21886i	−0.521820	−	0.238307i
$682$	14.5830	+	5.36501i	0.558411	+	0.205437i
$683$	2.07570	+	7.06919i	0.0794245	+	0.270495i	0.989625	−	0.143672i	$-0.0458911\pi$
$683$	2.07570	+	7.06919i	0.0794245	+	0.270495i	−0.910201	+	0.414167i	$0.864073\pi$
$684$	2.41450	+	7.95904i	0.0923209	+	0.304321i
$685$	0.200539	+	0.439118i	0.00766219	+	0.0167778i
$686$	87.2416	−	32.9845i	3.33090	−	1.25936i
$687$	1.44632	−	0.929493i	0.0551805	−	0.0354624i
$688$	−2.42548	−	14.9644i	−0.0924707	−	0.570514i
$689$			16.9710i			0.646545i
$690$	−4.99129	+	5.86250i	−0.190015	+	0.223182i
$691$		−	3.74376i		−	0.142419i	−0.997461	−	0.0712097i	$-0.977314\pi$
$691$		−	3.74376i		−	0.142419i	0.997461	−	0.0712097i	$-0.0226860\pi$
$692$	−2.37742	+	8.37302i	−0.0903758	+	0.318295i
$693$	5.00432	−	3.21608i	0.190099	−	0.122169i
$694$	4.55645	+	12.0515i	0.172960	+	0.457467i
$695$	1.70296	+	3.72897i	0.0645971	+	0.141448i
$696$	−3.18586	−	5.65285i	−0.120760	−	0.214271i
$697$	9.06044	+	30.8570i	0.343189	+	1.16879i
$698$	0.558741	−	1.51875i	0.0211487	−	0.0574855i
$699$	−16.6763	−	7.61582i	−0.630756	−	0.288057i
$700$	37.9493	−	5.80314i	1.43435	−	0.219338i
$701$	−5.73129	+	4.96619i	−0.216468	+	0.187570i	−0.756344	−	0.654174i	$-0.773016\pi$
$701$	−5.73129	+	4.96619i	−0.216468	+	0.187570i	0.539876	+	0.841744i	$0.318471\pi$
$702$	5.10003	+	3.78237i	0.192488	+	0.142756i
$703$	4.53168	−	15.4335i	0.170916	−	0.582085i
$704$	−7.11282	−	5.83669i	−0.268074	−	0.219979i
$705$	−6.58669	+	10.2491i	−0.248069	+	0.386003i
$706$	−21.6425	−	39.2174i	−0.814528	−	1.47597i
$707$	2.87418	−	19.9904i	0.108095	−	0.751815i
$708$	−20.0769	−	17.0848i	−0.754535	−	0.642085i
$709$	−27.4423	+	3.94560i	−1.03062	+	0.148180i	−0.636816	−	0.771016i	$-0.719749\pi$
$709$	−27.4423	+	3.94560i	−1.03062	+	0.148180i	−0.393800	+	0.919196i	$0.628840\pi$
$710$	−1.34855	−	1.33654i	−0.0506102	−	0.0501596i
$711$	2.83210	−	3.26842i	0.106212	−	0.122575i
$712$	−10.3546	+	7.97030i	−0.388054	+	0.298699i
$713$	−44.8092	−	9.54957i	−1.67812	−	0.357634i
$714$	6.97461	+	31.3854i	0.261018	+	1.17457i
$715$	−4.43031	−	3.83888i	−0.165684	−	0.143566i
$716$	−26.6873	−	16.8156i	−0.997351	−	0.628427i
$717$	0.824462	+	5.73426i	0.0307901	+	0.214150i
$718$	−4.04362	+	3.05532i	−0.150906	+	0.114024i
$719$	39.5230	+	5.68254i	1.47396	+	0.211923i	0.831982	−	0.554802i	$-0.187206\pi$
$719$	39.5230	+	5.68254i	1.47396	+	0.211923i	0.641975	+	0.766725i	$0.278115\pi$
$720$	−4.16363	−	1.81218i	−0.155169	−	0.0675360i
$721$	39.8030	+	25.5798i	1.48234	+	0.952642i
$722$	−2.35975	−	0.502291i	−0.0878207	−	0.0186933i
$723$	22.3412	+	6.55997i	0.830879	+	0.243968i
$724$	−17.3899	+	38.9978i	−0.646291	+	1.44934i
$725$	−5.57558	−	6.43456i	−0.207072	−	0.238973i
$726$	13.6550	+	0.915272i	0.506784	+	0.0339689i
$727$	−11.5208	+	25.2271i	−0.427284	+	0.935621i	0.566476	+	0.824078i	$0.308306\pi$
$727$	−11.5208	+	25.2271i	−0.427284	+	0.935621i	−0.993760	+	0.111543i	$0.964421\pi$
$728$	−5.56407	−	65.4454i	−0.206218	−	2.42557i
$729$	0.959493	−	0.281733i	0.0355368	−	0.0104345i
$730$	−0.244807	−	3.22041i	−0.00906070	−	0.119193i
$731$	15.1532	−	6.92025i	0.560463	−	0.255955i
$732$	4.81323	+	7.34428i	0.177902	+	0.271453i
$733$	−0.376271	−	0.585490i	−0.0138979	−	0.0216256i	0.834235	−	0.551409i	$-0.185910\pi$
$733$	−0.376271	−	0.585490i	−0.0138979	−	0.0216256i	−0.848133	+	0.529783i	$0.822273\pi$
$734$	36.9233	+	19.9478i	1.36286	+	0.736288i
$735$	−22.4220			−0.827049
$736$	23.2044	+	14.0554i	0.855326	+	0.518090i
$737$	1.62236			0.0597604
$738$	−9.10352	−	4.91818i	−0.335105	−	0.181041i
$739$	−12.1252	−	18.8672i	−0.446034	−	0.694042i	0.543328	−	0.839521i	$-0.317164\pi$
$739$	−12.1252	−	18.8672i	−0.446034	−	0.694042i	−0.989361	+	0.145479i	$0.953528\pi$
$740$	4.81371	+	7.34502i	0.176956	+	0.270008i
$741$	16.9840	−	7.75634i	0.623923	−	0.284936i
$742$	−2.09570	−	27.5687i	−0.0769356	−	1.01208i
$743$	−37.7144	+	11.0740i	−1.38361	+	0.406264i	−0.887024	−	0.461724i	$-0.847231\pi$
$743$	−37.7144	+	11.0740i	−1.38361	+	0.406264i	−0.496585	+	0.867988i	$0.665413\pi$
$744$	−2.28898	−	26.9234i	−0.0839181	−	0.987058i
$745$	−7.28117	+	15.9435i	−0.266762	+	0.584126i
$746$	−19.1326	−	1.28243i	−0.700493	−	0.0469529i
$747$	−7.38352	−	8.52103i	−0.270149	−	0.311768i
$748$	4.11776	−	9.23431i	0.150560	−	0.337640i
$749$	−36.4084	−	10.6905i	−1.33033	−	0.390621i
$750$	−13.6791	−	2.91170i	−0.499488	−	0.106320i
$751$	−37.7215	−	24.2421i	−1.37648	−	0.884608i	−0.377337	−	0.926076i	$-0.623160\pi$
$751$	−37.7215	−	24.2421i	−1.37648	−	0.884608i	−0.999140	+	0.0414681i	$0.986797\pi$
$752$	39.3610	+	17.1315i	1.43535	+	0.624722i
$753$	19.7534	+	2.84011i	0.719854	+	0.103499i
$754$	−11.6221	+	8.78154i	−0.423251	+	0.319805i
$755$	−1.09494	−	7.61549i	−0.0398490	−	0.277156i
$756$	−8.75185	−	5.51451i	−0.318302	−	0.200561i
$757$	19.9445	+	17.2820i	0.724897	+	0.628127i	0.937085	−	0.349102i	$-0.113513\pi$
$757$	19.9445	+	17.2820i	0.724897	+	0.628127i	−0.212188	+	0.977229i	$0.568059\pi$
$758$	7.59099	+	34.1591i	0.275717	+	1.24071i
$759$	5.50007	−	0.416733i	0.199640	−	0.0151264i
$760$	−10.5812	+	8.14476i	−0.383822	+	0.295441i
$761$	−14.7416	+	17.0127i	−0.534383	+	0.616711i	−0.957173	−	0.289517i	$-0.906505\pi$
$761$	−14.7416	+	17.0127i	−0.534383	+	0.616711i	0.422790	+	0.906228i	$0.361051\pi$
$762$	3.02541	+	2.99847i	0.109599	+	0.108623i
$763$	−12.4347	+	1.78785i	−0.450168	+	0.0647243i
$764$	−27.1560	−	23.1089i	−0.982470	−	0.836050i
$765$	0.710135	−	4.93910i	0.0256750	−	0.178573i
$766$	−14.8214	−	26.8572i	−0.535521	−	0.970392i
$767$	−31.9955	+	49.7859i	−1.15529	+	1.79767i
$768$	−3.95578	+	15.5033i	−0.142742	+	0.559427i
$769$	−2.84559	+	9.69118i	−0.102614	+	0.349473i	−0.994755	−	0.102285i	$-0.967385\pi$
$769$	−2.84559	+	9.69118i	−0.102614	+	0.349473i	0.892141	+	0.451758i	$0.149203\pi$
$770$	7.67090	+	5.68902i	0.276440	+	0.205018i
$771$	−15.0142	+	13.0099i	−0.540725	+	0.468541i
$772$	−10.6037	+	1.62151i	−0.381637	+	0.0583593i
$773$	−44.2811	−	20.2225i	−1.59268	−	0.727354i	−0.595570	−	0.803303i	$-0.703074\pi$
$773$	−44.2811	−	20.2225i	−1.59268	−	0.727354i	−0.997112	+	0.0759495i	$0.975801\pi$
$774$	−1.85057	+	5.03016i	−0.0665175	+	0.180805i
$775$	−9.98865	−	34.0182i	−0.358803	−	1.22197i
$776$	0.398784	+	0.707583i	0.0143155	+	0.0254008i
$777$	8.31052	+	18.1975i	0.298138	+	0.652831i
$778$	−12.7431	−	33.7045i	−0.456862	−	1.20836i
$779$	−25.5964	+	16.4498i	−0.917086	+	0.589375i
$780$	−2.78436	+	9.80623i	−0.0996960	+	0.351119i
$781$			1.36019i			0.0486713i
$782$	−8.14989	+	28.6761i	−0.291439	+	1.02546i
$783$			2.29414i			0.0819857i
$784$	12.6404	+	77.9869i	0.451442	+	2.78525i
$785$	−21.2455	+	13.6537i	−0.758284	+	0.487320i
$786$	11.0044	−	4.16059i	0.392515	−	0.148403i
$787$	11.7308	+	25.6869i	0.418158	+	0.915639i	0.995102	+	0.0988550i	$0.0315180\pi$
$787$	11.7308	+	25.6869i	0.418158	+	0.915639i	−0.576944	+	0.816784i	$0.695755\pi$
$788$	13.2516	+	43.6817i	0.472068	+	1.55610i
$789$	4.00395	+	13.6362i	0.142544	+	0.485461i
$790$	6.51617	+	2.39727i	0.231835	+	0.0852910i
$791$	−21.7313	−	9.92435i	−0.772676	−	0.352869i
$792$	1.17761	+	3.03243i	0.0418446	+	0.107753i
$793$	14.8977	−	12.9089i	0.529031	−	0.458408i
$794$	−24.4426	+	32.9577i	−0.867436	+	1.16962i
$795$	−1.20893	+	4.11724i	−0.0428763	+	0.146023i
$796$	0.118143	+	13.2101i	0.00418746	+	0.468221i
$797$	21.1957	−	32.9811i	0.750789	−	1.16825i	−0.230003	−	0.973190i	$-0.573873\pi$
$797$	21.1957	−	32.9811i	0.750789	−	1.16825i	0.980791	−	0.195060i	$-0.0624902\pi$
$798$	−26.6320	+	14.6972i	−0.942763	+	0.520274i
$799$	−6.71328	+	46.6919i	−0.237499	+	1.65184i
$800$	−1.02918	+	20.9688i	−0.0363870	+	0.741360i
$801$	4.57281	−	0.657471i	0.161572	−	0.0232306i
$802$	4.75238	−	4.79507i	0.167812	−	0.169320i
$803$	−1.51517	+	1.74860i	−0.0534691	+	0.0617067i
$804$	−1.19486	−	2.55565i	−0.0421395	−	0.0901308i
$805$	−24.7714	−	13.3907i	−0.873076	−	0.471959i
$806$	−59.2138	+	13.1587i	−2.08572	+	0.463497i
$807$	14.6657	+	12.7079i	0.516258	+	0.447340i
$808$	10.3988	+	3.72042i	0.365828	+	0.130884i
$809$	−3.68190	−	25.6081i	−0.129449	−	0.900334i	−0.946255	−	0.323422i	$-0.895167\pi$
$809$	−3.68190	−	25.6081i	−0.129449	−	0.900334i	0.816806	−	0.576912i	$-0.195742\pi$
$810$	0.967848	+	1.28091i	0.0340067	+	0.0450068i
$811$	55.1856	+	7.93448i	1.93783	+	0.278617i	0.998010	−	0.0630605i	$-0.0200861\pi$
$811$	55.1856	+	7.93448i	1.93783	+	0.278617i	0.939817	+	0.341678i	$0.110995\pi$
$812$	17.7952	−	15.7004i	0.624488	−	0.550977i
$813$	−0.747898	−	0.480645i	−0.0262299	−	0.0168570i
$814$	1.30980	−	6.15339i	0.0459084	−	0.215676i
$815$	0.265134	+	0.0778503i	0.00928723	+	0.00272698i
$816$	−17.5792	+	0.314459i	−0.615395	+	0.0110083i
$817$	10.3212	+	11.9112i	0.361091	+	0.416722i
$818$	−0.741980	+	11.0696i	−0.0259427	+	0.387041i
$819$	−9.64673	+	21.1234i	−0.337084	+	0.738111i
$820$	2.21696	−	16.4632i	0.0774196	−	0.574919i
$821$	30.8438	−	9.05657i	1.07646	−	0.316076i	0.304997	−	0.952353i	$-0.401345\pi$
$821$	30.8438	−	9.05657i	1.07646	−	0.316076i	0.771461	+	0.636277i	$0.219526\pi$
$822$	−0.599650	+	0.0455837i	−0.0209152	+	0.00158992i
$823$	−4.34297	+	1.98337i	−0.151386	+	0.0691358i	−0.489667	−	0.871909i	$-0.662882\pi$
$823$	−4.34297	+	1.98337i	−0.151386	+	0.0691358i	0.338281	+	0.941045i	$0.390155\pi$
$824$	−18.0485	+	18.5394i	−0.628751	+	0.645850i
$825$	2.30769	+	3.59084i	0.0803435	+	0.125017i
$826$	45.8274	−	84.8262i	1.59454	−	2.95148i
$827$	−29.4821			−1.02519			−0.512597	−	0.858629i	$-0.671317\pi$
$827$	−29.4821			−1.02519			−0.512597	+	0.858629i	$0.671317\pi$
$828$	−4.70724	−	8.35715i	−0.163588	−	0.290431i
$829$	36.7779			1.27735			0.638675	−	0.769476i	$-0.279483\pi$
$829$	36.7779			1.27735			0.638675	+	0.769476i	$0.279483\pi$
$830$	8.60394	−	15.9258i	0.298647	−	0.552793i
$831$	6.64978	+	10.3473i	0.230678	+	0.358943i
$832$	35.6771	+	4.15614i	1.23688	+	0.144088i
$833$	−78.9709	+	36.0648i	−2.73618	+	1.24957i
$834$	−5.09220	+	0.387095i	−0.176328	+	0.0134040i
$835$	6.69906	−	1.96702i	0.231831	−	0.0680716i
$836$	9.48031	+	1.27664i	0.327883	+	0.0441534i
$837$	−3.96854	+	8.68988i	−0.137173	+	0.300366i
$838$	−1.38397	+	20.6475i	−0.0478085	+	0.713258i
$839$	−22.9599	−	26.4972i	−0.792665	−	0.914784i	0.205290	−	0.978701i	$-0.434186\pi$
$839$	−22.9599	−	26.4972i	−0.792665	−	0.914784i	−0.997955	+	0.0639173i	$0.979641\pi$
$840$	3.31213	−	16.2736i	0.114279	−	0.561494i
$841$	22.7754	+	6.68747i	0.785360	+	0.230602i
$842$	9.28831	−	43.6362i	0.320096	−	1.50380i
$843$	−3.70846	−	2.38328i	−0.127726	−	0.0820845i
$844$	9.75714	+	11.0589i	0.335854	+	0.380664i
$845$	8.04354	+	1.15649i	0.276706	+	0.0397843i
$846$	−9.14959	−	12.1092i	−0.314569	−	0.416322i
$847$	7.12314	+	49.5425i	0.244754	+	1.70230i
$848$	15.0018	+	1.88374i	0.515166	+	0.0646879i
$849$	−10.3637	−	8.98022i	−0.355682	−	0.308201i
$850$	−22.5205	+	5.00461i	−0.772447	+	0.171657i
$851$	−1.24515	+	18.5079i	−0.0426833	+	0.634443i
$852$	2.14266	−	1.00177i	0.0734062	−	0.0343202i
$853$	25.5902	−	29.5327i	0.876192	−	1.01118i	−0.123631	−	0.992328i	$-0.539454\pi$
$853$	25.5902	−	29.5327i	0.876192	−	1.01118i	0.999822	−	0.0188509i	$-0.00600079\pi$
$854$	−22.6065	+	22.8096i	−0.773580	+	0.780529i
$855$	4.67291	−	0.671862i	0.159810	−	0.0229772i
$856$	9.69957	−	18.3442i	0.331524	−	0.626993i
$857$	−2.92014	+	20.3100i	−0.0997499	+	0.693776i	0.877172	+	0.480177i	$0.159428\pi$
$857$	−2.92014	+	20.3100i	−0.0997499	+	0.693776i	−0.976921	+	0.213599i	$0.931481\pi$
$858$	6.39379	−	3.52848i	0.218280	−	0.120460i
$859$	1.52181	−	2.36799i	0.0519236	−	0.0807947i	−0.814321	−	0.580414i	$-0.802891\pi$
$859$	1.52181	−	2.36799i	0.0519236	−	0.0807947i	0.866245	+	0.499620i	$0.166527\pi$
$860$	−8.60451	+	0.0769530i	−0.293411	+	0.00262408i
$861$	10.6614	−	36.3092i	0.363338	−	1.23742i
$862$	−25.4617	+	34.3318i	−0.867228	+	1.16934i
$863$	−21.4134	+	18.5548i	−0.728921	+	0.631613i	−0.938140	−	0.346255i	$-0.887453\pi$
$863$	−21.4134	+	18.5548i	−0.728921	+	0.631613i	0.209220	+	0.977869i	$0.432908\pi$
$864$	3.90958	−	4.08842i	0.133007	−	0.139091i
$865$	4.49404	+	2.05236i	0.152802	+	0.0697823i
$866$	23.3767	+	8.60017i	0.794372	+	0.292246i
$867$	−0.653746	−	2.22645i	−0.0222024	−	0.0756144i
$868$	94.5653	−	28.6880i	3.20976	−	0.973732i
$869$	−2.06628	−	4.52452i	−0.0700937	−	0.153484i
$870$	−3.44511	+	1.30254i	−0.116800	+	0.0441601i
$871$	−5.32787	+	3.42402i	−0.180528	+	0.116018i
$872$	0.398132	−	6.85840i	0.0134824	−	0.232255i
$873$		−	0.287163i		−	0.00971901i
$874$	−28.2040	+	0.245265i	−0.954014	+	0.00829621i
$875$		−	51.1487i		−	1.72914i
$876$	3.87042	+	1.09896i	0.130769	+	0.0371304i
$877$	−22.7866	+	14.6441i	−0.769450	+	0.494495i	−0.865517	−	0.500879i	$-0.833010\pi$
$877$	−22.7866	+	14.6441i	−0.769450	+	0.494495i	0.0960672	+	0.995375i	$0.469374\pi$
$878$	8.00758	+	21.1794i	0.270243	+	0.714771i
$879$	4.14745	+	9.08165i	0.139890	+	0.306316i
$880$	−3.88520	+	3.49014i	−0.130970	+	0.117653i
$881$	−3.58118	−	12.1964i	−0.120653	−	0.410907i	0.876912	−	0.480651i	$-0.159600\pi$
$881$	−3.58118	−	12.1964i	−0.120653	−	0.410907i	−0.997565	+	0.0697447i	$0.977782\pi$
$882$	9.64424	−	26.2146i	0.324738	−	0.882692i
$883$	4.09034	+	1.86799i	0.137651	+	0.0628630i	0.483050	−	0.875593i	$-0.339529\pi$
$883$	4.09034	+	1.86799i	0.137651	+	0.0628630i	−0.345399	+	0.938456i	$0.612256\pi$
$884$	5.96630	+	39.0163i	0.200668	+	1.31226i
$885$	−11.3087	+	9.79905i	−0.380138	+	0.329392i
$886$	41.4600	+	30.7482i	1.39288	+	1.03301i
$887$	2.64548	−	9.00967i	0.0888265	−	0.302515i	−0.903082	−	0.429467i	$-0.858701\pi$
$887$	2.64548	−	9.00967i	0.0888265	−	0.302515i	0.991909	+	0.126952i	$0.0405195\pi$
$888$	−10.6579	+	2.46866i	−0.357655	+	0.0828430i
$889$	−8.42231	+	13.1054i	−0.282475	+	0.439540i
$890$	3.58362	+	6.49371i	0.120123	+	0.217670i
$891$	0.163681	−	1.13842i	0.00548351	−	0.0381386i
$892$	−29.9402	+	35.1837i	−1.00247	+	1.17804i
$893$	−44.1755	+	6.35147i	−1.47828	+	0.212544i
$894$	−15.5085	−	15.3704i	−0.518683	−	0.514065i
$895$	−11.7248	+	13.5312i	−0.391918	+	0.452298i
$896$	−58.4692	−	2.34581i	−1.95332	−	0.0783681i
$897$	−17.1828	+	12.9765i	−0.573718	+	0.433274i
$898$	4.45203	+	20.0339i	0.148566	+	0.668540i
$899$	−16.5632	−	14.3521i	−0.552415	−	0.478670i
$900$	3.95692	−	6.27986i	0.131897	−	0.209329i
$901$	2.36451	+	16.4455i	0.0787732	+	0.547879i
$902$	−9.49487	+	7.17424i	−0.316145	+	0.238876i
$903$	−19.4026	−	2.78967i	−0.645677	−	0.0928344i
$904$	7.68827	−	10.5628i	0.255708	−	0.351312i
$905$	20.3892	+	13.1034i	0.677761	+	0.435571i
$906$	9.37457	+	1.99545i	0.311449	+	0.0662945i
$907$	35.9447	+	10.5543i	1.19352	+	0.350450i	0.817373	−	0.576109i	$-0.195430\pi$
$907$	35.9447	+	10.5543i	1.19352	+	0.350450i	0.376150	+	0.926559i	$0.377248\pi$
$908$	27.3449	+	12.1937i	0.907474	+	0.404661i
$909$	−2.55706	−	2.95101i	−0.0848124	−	0.0978787i
$910$	−37.1982	−	2.49333i	−1.23311	−	0.0826532i
$911$	5.47832	−	11.9958i	0.181505	−	0.397440i	−0.796908	−	0.604101i	$-0.793532\pi$
$911$	5.47832	−	11.9958i	0.181505	−	0.397440i	0.978413	+	0.206661i	$0.0662597\pi$
$912$	−4.97117	−	15.8743i	−0.164612	−	0.525649i
$913$	−12.4424	+	3.65341i	−0.411782	+	0.120910i
$914$	−0.0284420	−	0.374152i	−0.000940779	−	0.0123758i
$915$	4.53379	−	2.07051i	0.149882	−	0.0684490i
$916$	−2.87590	+	1.88478i	−0.0950223	+	0.0622749i
$917$	23.2619	+	36.1963i	0.768177	+	1.19531i
$918$	5.46908	+	2.95467i	0.180506	+	0.0975187i
$919$	42.1341			1.38988			0.694938	−	0.719070i	$-0.255432\pi$
$919$	42.1341			1.38988			0.694938	+	0.719070i	$0.255432\pi$
$920$	9.87733	−	11.8138i	0.325646	−	0.389490i
$921$	9.13346			0.300958
$922$	44.9254	+	24.2710i	1.47954	+	0.799323i
$923$	−2.87070	−	4.46689i	−0.0944901	−	0.147029i
$924$	−9.95072	+	6.52142i	−0.327355	+	0.214539i
$925$	−13.0576	+	5.96319i	−0.429330	+	0.196068i
$926$	−2.78212	−	36.5985i	−0.0914260	−	1.20270i
$927$	8.77726	−	2.57724i	0.288283	−	0.0846475i
$928$	6.47258	+	11.2483i	0.212473	+	0.369242i
$929$	17.0921	−	37.4265i	0.560774	−	1.22792i	−0.390792	−	0.920479i	$-0.627799\pi$
$929$	17.0921	−	37.4265i	0.560774	−	1.22792i	0.951566	−	0.307445i	$-0.0994739\pi$
$930$	−15.3028	−	1.02572i	−0.501800	−	0.0336348i
$931$	−53.7885	−	62.0753i	−1.76285	−	2.03444i
$932$	33.4875	+	14.9327i	1.09692	+	0.489138i
$933$	10.3002	+	3.02442i	0.337215	+	0.0990152i
$934$	−27.7528	−	5.90740i	−0.908099	−	0.193296i
$935$	−4.82797	−	3.10275i	−0.157892	−	0.101471i
$936$	−10.2673	−	7.47321i	−0.335597	−	0.244269i
$937$	9.78119	+	1.40632i	0.319537	+	0.0459425i	0.300217	−	0.953871i	$-0.402941\pi$
$937$	9.78119	+	1.40632i	0.319537	+	0.0459425i	0.0193200	+	0.999813i	$0.493850\pi$
$938$	8.23209	−	6.22010i	0.268787	−	0.203093i
$939$	3.62261	+	25.1958i	0.118220	+	0.822235i
$940$	12.9895	−	20.6152i	0.423672	−	0.672393i
$941$	−24.3697	−	21.1164i	−0.794428	−	0.688376i	0.159901	−	0.987133i	$-0.448883\pi$
$941$	−24.3697	−	21.1164i	−0.794428	−	0.688376i	−0.954329	+	0.298757i	$0.903428\pi$
$942$	−6.82492	−	30.7118i	−0.222368	−	1.00065i
$943$	24.7064	−	24.9161i	0.804553	−	0.811379i
$944$	40.4577	+	33.8091i	1.31679	+	1.10039i
$945$	−3.84505	+	4.43743i	−0.125080	+	0.144350i
$946$	4.37836	+	4.33938i	0.142353	+	0.141085i
$947$	−34.9813	+	5.02955i	−1.13674	+	0.163438i	−0.684883	−	0.728653i	$-0.740147\pi$
$947$	−34.9813	+	5.02955i	−1.13674	+	0.163438i	−0.451855	+	0.892091i	$0.649238\pi$
$948$	−5.60551	+	6.58723i	−0.182059	+	0.213943i
$949$	1.28541	−	8.94023i	0.0417262	−	0.290212i
$950$	−10.5459	−	19.1097i	−0.342154	−	0.620001i
$951$	−11.2776	+	17.5482i	−0.365700	+	0.569041i
$952$	−14.5100	−	62.6436i	−0.470272	−	2.03029i
$953$	13.4136	−	45.6826i	0.434510	−	1.47981i	−0.393622	−	0.919272i	$-0.628778\pi$
$953$	13.4136	−	45.6826i	0.434510	−	1.47981i	0.828132	−	0.560533i	$-0.189404\pi$
$954$	−4.29366	−	3.18433i	−0.139012	−	0.103097i
$955$	−15.2962	+	13.2542i	−0.494973	+	0.428896i
$956$	−1.75142	−	11.4533i	−0.0566450	−	0.370427i
$957$	2.40011	+	1.09610i	0.0775847	+	0.0354317i
$958$	−5.88620	+	15.9997i	−0.190175	+	0.516925i
$959$	−0.619644	−	2.11031i	−0.0200093	−	0.0681456i
$960$	8.35933	+	3.54975i	0.269796	+	0.114568i
$961$	−25.0343	−	54.8174i	−0.807557	−	1.76830i
$962$	8.68540	+	22.9722i	0.280029	+	0.740654i
$963$	−6.17185	+	3.96641i	−0.198885	+	0.127816i
$964$	−44.7980	−	12.7198i	−1.44285	−	0.409678i
$965$			6.08878i			0.196005i
$966$	26.3104	−	23.2017i	0.846522	−	0.746502i
$967$			11.9360i			0.383837i	0.981411	+	0.191918i	$0.0614709\pi$
$967$			11.9360i			0.383837i	−0.981411	+	0.191918i	$0.938529\pi$
$968$	−27.3253	−	1.58624i	−0.878267	−	0.0509836i
$969$	15.3774	−	9.88247i	0.493994	−	0.317471i
$970$	0.431234	−	0.163042i	0.0138461	−	0.00523497i
$971$	5.92792	+	12.9803i	0.190236	+	0.416558i	0.980584	−	0.196100i	$-0.0628276\pi$
$971$	5.92792	+	12.9803i	0.190236	+	0.416558i	−0.790348	+	0.612658i	$0.790100\pi$
$972$	−1.91387	+	0.580604i	−0.0613874	+	0.0186229i
$973$	−5.26199	−	17.9207i	−0.168692	−	0.574511i
$974$	7.84473	+	2.88604i	0.251362	+	0.0924748i
$975$	−15.1570	−	6.92198i	−0.485413	−	0.221681i
$976$	−9.75744	−	14.6019i	−0.312328	−	0.467395i
$977$	−42.6615	+	36.9664i	−1.36486	+	1.18266i	−0.401056	+	0.916053i	$0.631357\pi$
$977$	−42.6615	+	36.9664i	−1.36486	+	1.18266i	−0.963806	+	0.266606i	$0.914098\pi$
$978$	−0.205059	+	0.276495i	−0.00655705	+	0.00884133i
$979$	1.49696	−	5.09818i	0.0478431	−	0.162939i
$980$	44.8423	−	0.401040i	1.43243	−	0.0128107i
$981$	−1.31316	+	2.04331i	−0.0419259	+	0.0652380i
$982$	20.3684	−	11.2405i	0.649982	−	0.358699i
$983$	3.27133	−	22.7526i	0.104339	−	0.725694i	−0.868748	−	0.495255i	$-0.835075\pi$
$983$	3.27133	−	22.7526i	0.104339	−	0.725694i	0.973087	−	0.230439i	$-0.0740163\pi$
$984$	18.2943	+	9.67314i	0.583200	+	0.308369i
$985$	25.6464	−	3.68739i	0.817162	−	0.117490i
$986$	−10.0387	+	10.1289i	−0.319697	+	0.322569i
$987$	36.3493	−	41.9494i	1.15701	−	1.33526i
$988$	−33.8279	+	15.8158i	−1.07621	+	0.503169i
$989$	−14.5964	−	10.8308i	−0.464139	−	0.344400i
$990$	1.80251	−	0.400561i	0.0572874	−	0.0127307i
$991$	15.5399	+	13.4654i	0.493643	+	0.427744i	0.865773	−	0.500437i	$-0.166827\pi$
$991$	15.5399	+	13.4654i	0.493643	+	0.427744i	−0.372130	+	0.928180i	$0.621373\pi$
$992$	5.05933	+	53.8036i	0.160634	+	1.70827i
$993$	−2.12343	−	14.7688i	−0.0673850	−	0.468673i
$994$	5.21493	+	6.90178i	0.165407	+	0.218911i
$995$	7.42222	+	1.06715i	0.235300	+	0.0338311i
$996$	14.9188	+	16.9093i	0.472722	+	0.535792i
$997$	−23.4021	−	15.0396i	−0.741153	−	0.476310i	0.114784	−	0.993391i	$-0.463383\pi$
$997$	−23.4021	−	15.0396i	−0.741153	−	0.476310i	−0.855937	+	0.517080i	$0.827019\pi$
$998$	−0.865817	+	4.06758i	−0.0274070	+	0.128757i
$999$	3.71122	+	1.08971i	0.117418	+	0.0344769i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	276.2.m.a.7.4	✓	240
3.2	odd	2		828.2.u.c.559.21		240
4.3	odd	2	inner	276.2.m.a.7.17	yes	240
12.11	even	2		828.2.u.c.559.8		240
23.10	odd	22	inner	276.2.m.a.79.17	yes	240
69.56	even	22		828.2.u.c.631.8		240
92.79	even	22	inner	276.2.m.a.79.4	yes	240
276.263	odd	22		828.2.u.c.631.21		240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
276.2.m.a.7.4	✓	240	1.1	even	1	trivial
276.2.m.a.7.17	yes	240	4.3	odd	2	inner
276.2.m.a.79.4	yes	240	92.79	even	22	inner
276.2.m.a.79.17	yes	240	23.10	odd	22	inner
828.2.u.c.559.8		240	12.11	even	2
828.2.u.c.559.21		240	3.2	odd	2
828.2.u.c.631.8		240	69.56	even	22
828.2.u.c.631.21		240	276.263	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:	\( N \)	\(=\)	\( 276 = 2^{2} \cdot 3 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	276.m (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.24424 - 0.672203i) q^{2} +(-0.540641 - 0.841254i) q^{3} +(1.09629 + 1.67277i) q^{4} +(1.03264 - 0.471590i) q^{5} +(0.107195 + 1.41015i) q^{6} +(-4.96264 + 1.45716i) q^{7} +(-0.239604 - 2.81826i) q^{8} +(-0.415415 + 0.909632i) q^{9} +O(q^{10})\)	\(q+(-1.24424 - 0.672203i) q^{2} +(-0.540641 - 0.841254i) q^{3} +(1.09629 + 1.67277i) q^{4} +(1.03264 - 0.471590i) q^{5} +(0.107195 + 1.41015i) q^{6} +(-4.96264 + 1.45716i) q^{7} +(-0.239604 - 2.81826i) q^{8} +(-0.415415 + 0.909632i) q^{9} +(-1.60186 - 0.107370i) q^{10} +(0.753175 + 0.869211i) q^{11} +(0.814527 - 1.82662i) q^{12} +(-4.30793 - 1.26492i) q^{13} +(7.15425 + 1.52284i) q^{14} +(-0.955012 - 0.613749i) q^{15} +(-1.59632 + 3.66767i) q^{16} +(-4.35076 - 0.625545i) q^{17} +(1.12834 - 0.852561i) q^{18} +(-0.591832 - 4.11628i) q^{19} +(1.92093 + 1.21037i) q^{20} +(3.90885 + 3.38704i) q^{21} +(-0.352847 - 1.58780i) q^{22} +(1.69494 + 4.48633i) q^{23} +(-2.24133 + 1.72523i) q^{24} +(-2.43036 + 2.80479i) q^{25} +(4.50983 + 4.46968i) q^{26} +(0.989821 - 0.142315i) q^{27} +(-7.87797 - 6.70390i) q^{28} +(-0.326489 + 2.27078i) q^{29} +(0.775704 + 1.40562i) q^{30} +(-5.16484 + 8.03665i) q^{31} +(4.45163 - 3.49042i) q^{32} +(0.324029 - 1.10354i) q^{33} +(4.99292 + 3.70293i) q^{34} +(-4.43743 + 3.84505i) q^{35} +(-1.97702 + 0.302322i) q^{36} +(3.51836 + 1.60678i) q^{37} +(-2.03059 + 5.51949i) q^{38} +(1.26492 + 4.30793i) q^{39} +(-1.57649 - 2.79725i) q^{40} +(-3.03939 - 6.65533i) q^{41} +(-2.58679 - 6.84185i) q^{42} +(-3.18829 + 2.04899i) q^{43} +(-0.628295 + 2.21279i) q^{44} +1.13523i q^{45} +(0.906812 - 6.72144i) q^{46} -10.7319i q^{47} +(3.94847 - 0.639981i) q^{48} +(16.6157 - 10.6783i) q^{49} +(4.90935 - 1.85614i) q^{50} +(1.82596 + 3.99829i) q^{51} +(-2.60679 - 8.59289i) q^{52} +(-1.06492 - 3.62680i) q^{53} +(-1.32724 - 0.488287i) q^{54} +(1.18767 + 0.542390i) q^{55} +(5.29574 + 13.6369i) q^{56} +(-3.14287 + 2.72331i) q^{57} +(1.93266 - 2.60594i) q^{58} +(3.71356 - 12.6472i) q^{59} +(-0.0203046 - 2.27036i) q^{60} +(-2.37368 + 3.69352i) q^{61} +(11.8286 - 6.52773i) q^{62} +(0.736074 - 5.11951i) q^{63} +(-7.88518 + 1.35053i) q^{64} +(-5.04505 + 0.725369i) q^{65} +(-1.14498 + 1.15526i) q^{66} +(0.923739 - 1.06605i) q^{67} +(-3.72328 - 7.96360i) q^{68} +(2.85779 - 3.85137i) q^{69} +(8.10590 - 1.80133i) q^{70} +(0.893778 + 0.774463i) q^{71} +(2.66311 + 0.952796i) q^{72} +(0.286296 + 1.99123i) q^{73} +(-3.29761 - 4.36428i) q^{74} +(3.67349 + 0.528168i) q^{75} +(6.23677 - 5.50261i) q^{76} +(-5.00432 - 3.21608i) q^{77} +(1.32193 - 6.21040i) q^{78} +(-4.14955 - 1.21842i) q^{79} +(0.0812151 + 4.54018i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(-0.691997 + 10.3239i) q^{82} +(-4.68378 + 10.2560i) q^{83} +(-1.38052 + 10.2518i) q^{84} +(-4.78776 + 1.40581i) q^{85} +(5.34435 - 0.406263i) q^{86} +(2.08682 - 0.953018i) q^{87} +(2.26920 - 2.33091i) q^{88} +(-2.49767 - 3.88645i) q^{89} +(0.763102 - 1.41250i) q^{90} +23.2219 q^{91} +(-5.64647 + 7.75354i) q^{92} +9.55318 q^{93} +(-7.21401 + 13.3531i) q^{94} +(-2.55234 - 3.97152i) q^{95} +(-5.34306 - 1.85788i) q^{96} +(-0.261213 + 0.119292i) q^{97} +(-27.8520 + 2.11723i) q^{98} +(-1.10354 + 0.324029i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9}+O(q^{10}) \) 240 * q - 4 * q^2 - 4 * q^6 - 4 * q^8 + 24 * q^9	\( 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9} - 8 q^{16} + 4 q^{18} + 4 q^{24} + 24 q^{25} - 40 q^{26} + 32 q^{29} + 36 q^{32} - 22 q^{34} - 22 q^{36} - 110 q^{38} - 22 q^{40} - 16 q^{41} - 110 q^{42} - 154 q^{44} - 88 q^{46} - 56 q^{48} - 40 q^{49} - 142 q^{50} - 70 q^{52} - 18 q^{54} - 110 q^{56} - 46 q^{58} - 22 q^{60} + 40 q^{62} - 48 q^{64} - 16 q^{69} - 72 q^{70} + 4 q^{72} + 22 q^{74} + 110 q^{76} - 192 q^{77} + 198 q^{80} - 24 q^{81} + 172 q^{82} - 200 q^{85} + 220 q^{86} + 176 q^{88} - 88 q^{89} + 154 q^{92} - 16 q^{93} + 126 q^{94} - 44 q^{96} - 88 q^{97} + 228 q^{98}+O(q^{100}) \) 240 * q - 4 * q^2 - 4 * q^6 - 4 * q^8 + 24 * q^9 - 8 * q^16 + 4 * q^18 + 4 * q^24 + 24 * q^25 - 40 * q^26 + 32 * q^29 + 36 * q^32 - 22 * q^34 - 22 * q^36 - 110 * q^38 - 22 * q^40 - 16 * q^41 - 110 * q^42 - 154 * q^44 - 88 * q^46 - 56 * q^48 - 40 * q^49 - 142 * q^50 - 70 * q^52 - 18 * q^54 - 110 * q^56 - 46 * q^58 - 22 * q^60 + 40 * q^62 - 48 * q^64 - 16 * q^69 - 72 * q^70 + 4 * q^72 + 22 * q^74 + 110 * q^76 - 192 * q^77 + 198 * q^80 - 24 * q^81 + 172 * q^82 - 200 * q^85 + 220 * q^86 + 176 * q^88 - 88 * q^89 + 154 * q^92 - 16 * q^93 + 126 * q^94 - 44 * q^96 - 88 * q^97 + 228 * q^98

Introduction

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