LMFDB - Embedded newform 192.2.s.a.107.22

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [192,2,Mod(11,192)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(192, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([8, 5, 8]))

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

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

chi := DirichletCharacter("192.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 192 = 2^{6} \cdot 3 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	192.s (of order $16$, degree $8$, 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:	$1.53312771881$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$30$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			107.22
Character	$\chi$	$=$	192.107
Dual form			192.2.s.a.131.22

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.890912 + 1.09831i) q^{2} +(-1.25794 - 1.19062i) q^{3} +(-0.412551 + 1.95699i) q^{4} +(1.50066 + 2.24589i) q^{5} +(0.186948 - 2.44235i) q^{6} +(-0.0860024 + 0.207628i) q^{7} +(-2.51692 + 1.29040i) q^{8} +(0.164844 + 2.99547i) q^{9} +O(q^{10})$	\(q+(0.890912 + 1.09831i) q^{2} +(-1.25794 - 1.19062i) q^{3} +(-0.412551 + 1.95699i) q^{4} +(1.50066 + 2.24589i) q^{5} +(0.186948 - 2.44235i) q^{6} +(-0.0860024 + 0.207628i) q^{7} +(-2.51692 + 1.29040i) q^{8} +(0.164844 + 2.99547i) q^{9} +(-1.12972 + 3.64907i) q^{10} +(3.68379 + 0.732751i) q^{11} +(2.84900 - 1.97059i) q^{12} +(-1.53272 - 1.02413i) q^{13} +(-0.304660 + 0.0905215i) q^{14} +(0.786264 - 4.61192i) q^{15} +(-3.65960 - 1.61471i) q^{16} +(4.44652 + 4.44652i) q^{17} +(-3.14308 + 2.84975i) q^{18} +(-3.66999 - 2.45221i) q^{19} +(-5.01428 + 2.01022i) q^{20} +(0.355392 - 0.158788i) q^{21} +(2.47715 + 4.69874i) q^{22} +(-1.88615 - 4.55357i) q^{23} +(4.70251 + 1.37345i) q^{24} +(-0.878641 + 2.12123i) q^{25} +(-0.240710 - 2.59580i) q^{26} +(3.35910 - 3.96440i) q^{27} +(-0.370845 - 0.253963i) q^{28} +(-1.40435 - 7.06016i) q^{29} +(5.76579 - 3.24526i) q^{30} +6.44241 q^{31} +(-1.48694 - 5.45793i) q^{32} +(-3.76157 - 5.30775i) q^{33} +(-0.922180 + 8.84510i) q^{34} +(-0.595370 + 0.118426i) q^{35} +(-5.93010 - 0.913185i) q^{36} +(-5.00124 - 7.48488i) q^{37} +(-0.576364 - 6.21547i) q^{38} +(0.708723 + 3.11318i) q^{39} +(-6.67512 - 3.71628i) q^{40} +(4.55750 - 1.88778i) q^{41} +(0.491021 + 0.248863i) q^{42} +(-1.54503 - 0.307325i) q^{43} +(-2.95373 + 6.90683i) q^{44} +(-6.48012 + 4.86539i) q^{45} +(3.32082 - 6.12841i) q^{46} +(-4.26705 + 4.26705i) q^{47} +(2.68106 + 6.38842i) q^{48} +(4.91403 + 4.91403i) q^{49} +(-3.11255 + 0.924810i) q^{50} +(-0.299352 - 10.8876i) q^{51} +(2.63653 - 2.57700i) q^{52} +(-1.02142 + 5.13504i) q^{53} +(7.34678 + 0.157393i) q^{54} +(3.88242 + 9.37299i) q^{55} +(-0.0514619 - 0.633560i) q^{56} +(1.69699 + 7.45431i) q^{57} +(6.50306 - 7.83239i) q^{58} +(7.47264 - 4.99306i) q^{59} +(8.70109 + 3.44136i) q^{60} +(0.815852 + 4.10157i) q^{61} +(5.73962 + 7.07574i) q^{62} +(-0.636120 - 0.223391i) q^{63} +(4.66975 - 6.49565i) q^{64} -4.97918i q^{65} +(2.47831 - 8.86009i) q^{66} +(-8.05661 + 1.60256i) q^{67} +(-10.5362 + 6.86737i) q^{68} +(-3.04891 + 7.97383i) q^{69} +(-0.660491 - 0.548391i) q^{70} +(2.52914 + 1.04761i) q^{71} +(-4.28024 - 7.32663i) q^{72} +(5.90887 - 2.44753i) q^{73} +(3.76502 - 12.1613i) q^{74} +(3.63086 - 1.62225i) q^{75} +(6.31300 - 6.17046i) q^{76} +(-0.468954 + 0.701839i) q^{77} +(-2.78782 + 3.55197i) q^{78} +(-8.79908 + 8.79908i) q^{79} +(-1.86534 - 10.6422i) q^{80} +(-8.94565 + 0.987568i) q^{81} +(6.13369 + 3.32368i) q^{82} +(-4.93898 + 7.39171i) q^{83} +(0.164129 + 0.761007i) q^{84} +(-3.31370 + 16.6591i) q^{85} +(-1.03895 - 1.97071i) q^{86} +(-6.63938 + 10.5533i) q^{87} +(-10.2173 + 2.90928i) q^{88} +(5.44855 + 2.25687i) q^{89} +(-11.1169 - 2.78252i) q^{90} +(0.344455 - 0.230158i) q^{91} +(9.68942 - 1.81260i) q^{92} +(-8.10419 - 7.67047i) q^{93} +(-8.48809 - 0.884959i) q^{94} -11.9223i q^{95} +(-4.62785 + 8.63615i) q^{96} -16.3503i q^{97} +(-1.01914 + 9.77509i) q^{98} +(-1.58768 + 11.1555i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9}+O(q^{10}) $ 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9	$ 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28} - 88 q^{30} - 32 q^{31} - 16 q^{34} - 88 q^{36} - 16 q^{37} - 8 q^{39} - 16 q^{40} - 48 q^{42} - 16 q^{43} - 8 q^{45} - 16 q^{46} - 8 q^{48} - 16 q^{49} - 8 q^{51} + 32 q^{52} - 8 q^{54} - 80 q^{55} - 8 q^{57} + 128 q^{58} - 8 q^{60} - 16 q^{61} + 80 q^{64} - 24 q^{66} - 144 q^{67} - 8 q^{69} + 80 q^{70} - 8 q^{72} - 16 q^{73} - 8 q^{75} + 96 q^{76} + 16 q^{78} - 48 q^{79} - 8 q^{81} + 64 q^{82} + 104 q^{84} - 16 q^{85} - 8 q^{87} + 64 q^{88} + 136 q^{90} - 16 q^{91} - 32 q^{93} + 80 q^{94} + 128 q^{96} - 8 q^{99}+O(q^{100}) $ 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/192\mathbb{Z}\right)^\times$.

$n$	$65$	$127$	$133$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{13}{16}\right)$

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 $

$2$	0.890912	+	1.09831i	0.629970	+	0.776619i
$2$	0.890912	+	1.09831i	0.629970	+	0.776619i
$3$	−1.25794	−	1.19062i	−0.726274	−	0.687405i
$3$	−1.25794	−	1.19062i	−0.726274	−	0.687405i
$4$	−0.412551	+	1.95699i	−0.206275	+	0.978494i
$5$	1.50066	+	2.24589i	0.671114	+	1.00439i	0.998234	+	0.0594102i	$0.0189220\pi$
$5$	1.50066	+	2.24589i	0.671114	+	1.00439i	−0.327120	+	0.944983i	$0.606078\pi$
$6$	0.186948	−	2.44235i	0.0763214	−	0.997083i
$7$	−0.0860024	+	0.207628i	−0.0325058	+	0.0784760i	−0.939299	−	0.343100i	$-0.888523\pi$
$7$	−0.0860024	+	0.207628i	−0.0325058	+	0.0784760i	0.906793	+	0.421576i	$0.138523\pi$
$8$	−2.51692	+	1.29040i	−0.889865	+	0.456224i
$9$	0.164844	+	2.99547i	0.0549479	+	0.998489i
$10$	−1.12972	+	3.64907i	−0.357249	+	1.15394i
$11$	3.68379	+	0.732751i	1.11070	+	0.220933i	0.716154	−	0.697942i	$-0.245901\pi$
$11$	3.68379	+	0.732751i	1.11070	+	0.220933i	0.394549	+	0.918875i	$0.370901\pi$
$12$	2.84900	−	1.97059i	0.822434	−	0.568860i
$13$	−1.53272	−	1.02413i	−0.425099	−	0.284042i	0.324561	−	0.945865i	$-0.394783\pi$
$13$	−1.53272	−	1.02413i	−0.425099	−	0.284042i	−0.749661	+	0.661822i	$0.769783\pi$
$14$	−0.304660	+	0.0905215i	−0.0814237	+	0.0241929i
$15$	0.786264	−	4.61192i	0.203012	−	1.19079i
$16$	−3.65960	−	1.61471i	−0.914901	−	0.403678i
$17$	4.44652	+	4.44652i	1.07844	+	1.07844i	0.996650	+	0.0817905i	$0.0260639\pi$
$17$	4.44652	+	4.44652i	1.07844	+	1.07844i	0.0817905	+	0.996650i	$0.473936\pi$
$18$	−3.14308	+	2.84975i	−0.740831	+	0.671692i
$19$	−3.66999	−	2.45221i	−0.841953	−	0.562575i	0.0581221	−	0.998309i	$-0.481489\pi$
$19$	−3.66999	−	2.45221i	−0.841953	−	0.562575i	−0.900075	+	0.435734i	$0.856489\pi$
$20$	−5.01428	+	2.01022i	−1.12123	+	0.449499i
$21$	0.355392	−	0.158788i	0.0775530	−	0.0346504i
$22$	2.47715	+	4.69874i	0.528129	+	1.00177i
$23$	−1.88615	−	4.55357i	−0.393290	−	0.949486i	−0.989218	−	0.146448i	$-0.953216\pi$
$23$	−1.88615	−	4.55357i	−0.393290	−	0.949486i	0.595928	−	0.803038i	$-0.296784\pi$
$24$	4.70251	+	1.37345i	0.959897	+	0.280354i
$25$	−0.878641	+	2.12123i	−0.175728	+	0.424245i
$26$	−0.240710	−	2.59580i	−0.0472071	−	0.509079i
$27$	3.35910	−	3.96440i	0.646460	−	0.762948i
$28$	−0.370845	−	0.253963i	−0.0700832	−	0.0479944i
$29$	−1.40435	−	7.06016i	−0.260782	−	1.31104i	−0.859935	−	0.510404i	$-0.829496\pi$
$29$	−1.40435	−	7.06016i	−0.260782	−	1.31104i	0.599153	−	0.800635i	$-0.295504\pi$
$30$	5.76579	−	3.24526i	1.05268	−	0.592500i
$31$	6.44241			1.15709			0.578546	−	0.815650i	$-0.303620\pi$
$31$	6.44241			1.15709			0.578546	+	0.815650i	$0.303620\pi$
$32$	−1.48694	−	5.45793i	−0.262856	−	0.964835i
$33$	−3.76157	−	5.30775i	−0.654805	−	0.923961i
$34$	−0.922180	+	8.84510i	−0.158153	+	1.51692i
$35$	−0.595370	+	0.118426i	−0.100636	+	0.0200177i
$36$	−5.93010	−	0.913185i	−0.988350	−	0.152198i
$37$	−5.00124	−	7.48488i	−0.822198	−	1.23051i	−0.970389	−	0.241548i	$-0.922345\pi$
$37$	−5.00124	−	7.48488i	−0.822198	−	1.23051i	0.148191	−	0.988959i	$-0.452655\pi$
$38$	−0.576364	−	6.21547i	−0.0934986	−	1.00828i
$39$	0.708723	+	3.11318i	0.113486	+	0.498508i
$40$	−6.67512	−	3.71628i	−1.05543	−	0.587595i
$41$	4.55750	−	1.88778i	0.711762	−	0.294821i	0.00272832	−	0.999996i	$-0.499132\pi$
$41$	4.55750	−	1.88778i	0.711762	−	0.294821i	0.709033	+	0.705175i	$0.249132\pi$
$42$	0.491021	+	0.248863i	0.0757663	+	0.0384004i
$43$	−1.54503	−	0.307325i	−0.235615	−	0.0468667i	0.0758705	−	0.997118i	$-0.475826\pi$
$43$	−1.54503	−	0.307325i	−0.235615	−	0.0468667i	−0.311485	+	0.950251i	$0.600826\pi$
$44$	−2.95373	+	6.90683i	−0.445292	+	1.04124i
$45$	−6.48012	+	4.86539i	−0.965999	+	0.725289i
$46$	3.32082	−	6.12841i	0.489628	−	0.903584i
$47$	−4.26705	+	4.26705i	−0.622413	+	0.622413i	−0.946148	−	0.323735i	$-0.895062\pi$
$47$	−4.26705	+	4.26705i	−0.622413	+	0.622413i	0.323735	+	0.946148i	$0.395062\pi$
$48$	2.68106	+	6.38842i	0.386978	+	0.922089i
$49$	4.91403	+	4.91403i	0.702005	+	0.702005i
$50$	−3.11255	+	0.924810i	−0.440180	+	0.130788i
$51$	−0.299352	−	10.8876i	−0.0419176	−	1.52457i
$52$	2.63653	−	2.57700i	0.365621	−	0.357366i
$53$	−1.02142	+	5.13504i	−0.140303	+	0.705351i	0.845031	+	0.534717i	$0.179582\pi$
$53$	−1.02142	+	5.13504i	−0.140303	+	0.705351i	−0.985334	+	0.170635i	$0.945418\pi$
$54$	7.34678	+	0.157393i	0.999771	+	0.0214184i
$55$	3.88242	+	9.37299i	0.523506	+	1.26385i
$56$	−0.0514619	−	0.633560i	−0.00687689	−	0.0846630i
$57$	1.69699	+	7.45431i	0.224772	+	0.987347i
$58$	6.50306	−	7.83239i	0.853894	−	1.02844i
$59$	7.47264	−	4.99306i	0.972854	−	0.650040i	0.0358495	−	0.999357i	$-0.488586\pi$
$59$	7.47264	−	4.99306i	0.972854	−	0.650040i	0.937005	+	0.349317i	$0.113586\pi$
$60$	8.70109	+	3.44136i	1.12331	+	0.444278i
$61$	0.815852	+	4.10157i	0.104459	+	0.525152i	0.997213	+	0.0746070i	$0.0237702\pi$
$61$	0.815852	+	4.10157i	0.104459	+	0.525152i	−0.892754	+	0.450545i	$0.851230\pi$
$62$	5.73962	+	7.07574i	0.728933	+	0.898620i
$63$	−0.636120	−	0.223391i	−0.0801436	−	0.0281446i
$64$	4.66975	−	6.49565i	0.583719	−	0.811956i
$65$		−	4.97918i		−	0.617592i
$66$	2.47831	−	8.86009i	0.305059	−	1.09060i
$67$	−8.05661	+	1.60256i	−0.984271	+	0.195784i	−0.660888	−	0.750485i	$-0.729820\pi$
$67$	−8.05661	+	1.60256i	−0.984271	+	0.195784i	−0.323383	+	0.946268i	$0.604820\pi$
$68$	−10.5362	+	6.86737i	−1.27770	+	0.832791i
$69$	−3.04891	+	7.97383i	−0.367045	+	0.959936i
$70$	−0.660491	−	0.548391i	−0.0789438	−	0.0655452i
$71$	2.52914	+	1.04761i	0.300154	+	0.124328i	0.527678	−	0.849445i	$-0.323063\pi$
$71$	2.52914	+	1.04761i	0.300154	+	0.124328i	−0.227524	+	0.973773i	$0.573063\pi$
$72$	−4.28024	−	7.32663i	−0.504431	−	0.863452i
$73$	5.90887	−	2.44753i	0.691581	−	0.286462i	−0.00907776	−	0.999959i	$-0.502890\pi$
$73$	5.90887	−	2.44753i	0.691581	−	0.286462i	0.700659	+	0.713497i	$0.252890\pi$
$74$	3.76502	−	12.1613i	0.437675	−	1.41372i
$75$	3.63086	−	1.62225i	0.419255	−	0.187322i
$76$	6.31300	−	6.17046i	0.724151	−	0.707801i
$77$	−0.468954	+	0.701839i	−0.0534423	+	0.0799820i
$78$	−2.78782	+	3.55197i	−0.315658	+	0.402181i
$79$	−8.79908	+	8.79908i	−0.989974	+	0.989974i	−0.999950	−	0.00997611i	$-0.996824\pi$
$79$	−8.79908	+	8.79908i	−0.989974	+	0.989974i	0.00997611	+	0.999950i	$0.496824\pi$
$80$	−1.86534	−	10.6422i	−0.208551	−	1.18983i
$81$	−8.94565	+	0.987568i	−0.993961	+	0.109730i
$82$	6.13369	+	3.32368i	0.677353	+	0.367039i
$83$	−4.93898	+	7.39171i	−0.542123	+	0.811345i	−0.996852	−	0.0792850i	$-0.974736\pi$
$83$	−4.93898	+	7.39171i	−0.542123	+	0.811345i	0.454729	+	0.890630i	$0.349736\pi$
$84$	0.164129	+	0.761007i	0.0179080	+	0.0830327i
$85$	−3.31370	+	16.6591i	−0.359422	+	1.80693i
$86$	−1.03895	−	1.97071i	−0.112033	−	0.212508i
$87$	−6.63938	+	10.5533i	−0.711816	+	1.13144i
$88$	−10.2173	+	2.90928i	−1.08917	+	0.310130i
$89$	5.44855	+	2.25687i	0.577546	+	0.239227i	0.652282	−	0.757976i	$-0.273812\pi$
$89$	5.44855	+	2.25687i	0.577546	+	0.239227i	−0.0747368	+	0.997203i	$0.523812\pi$
$90$	−11.1169	−	2.78252i	−1.17182	−	0.293303i
$91$	0.344455	−	0.230158i	0.0361087	−	0.0241271i
$92$	9.68942	−	1.81260i	1.01019	−	0.188976i
$93$	−8.10419	−	7.67047i	−0.840365	−	0.795391i
$94$	−8.48809	−	0.884959i	−0.875480	−	0.0912765i
$95$		−	11.9223i		−	1.22320i
$96$	−4.62785	+	8.63615i	−0.472328	+	0.881423i
$97$		−	16.3503i		−	1.66012i	−0.557671	−	0.830062i	$-0.688305\pi$
$97$		−	16.3503i		−	1.66012i	0.557671	−	0.830062i	$-0.311695\pi$
$98$	−1.01914	+	9.77509i	−0.102949	+	0.987433i
$99$	−1.58768	+	11.1555i	−0.159568	+	1.12117i
$100$	−3.78873	−	2.59460i	−0.378873	−	0.259460i
$101$	−6.96357	+	4.65291i	−0.692901	+	0.462982i	−0.851495	−	0.524362i	$-0.824304\pi$
$101$	−6.96357	+	4.65291i	−0.692901	+	0.462982i	0.158594	+	0.987344i	$0.449304\pi$
$102$	11.6912	−	10.0287i	1.15760	−	0.992987i
$103$	−3.52118	−	1.45852i	−0.346952	−	0.143712i	0.202401	−	0.979303i	$-0.435126\pi$
$103$	−3.52118	−	1.45852i	−0.346952	−	0.143712i	−0.549353	+	0.835591i	$0.685126\pi$
$104$	5.17926	+	0.599834i	0.507868	+	0.0588185i
$105$	0.889943	+	0.559886i	0.0868495	+	0.0546393i
$106$	−6.54984	+	3.45303i	−0.636176	+	0.335388i
$107$	2.68194	−	13.4830i	0.259273	−	1.30345i	−0.603297	−	0.797516i	$-0.706147\pi$
$107$	2.68194	−	13.4830i	0.259273	−	1.30345i	0.862570	−	0.505937i	$-0.168853\pi$
$108$	6.37247	+	8.20924i	0.613192	+	0.789934i
$109$	8.00490	−	11.9802i	0.766730	−	1.14749i	−0.218429	−	0.975853i	$-0.570093\pi$
$109$	8.00490	−	11.9802i	0.766730	−	1.14749i	0.985160	−	0.171640i	$-0.0549066\pi$
$110$	−6.83552	+	12.6146i	−0.651741	+	1.20275i
$111$	−2.62038	+	15.3701i	−0.248715	+	1.45887i
$112$	0.649995	−	0.620967i	0.0614187	−	0.0586759i
$113$	−6.18271	+	6.18271i	−0.581620	+	0.581620i	−0.935348	−	0.353728i	$-0.884914\pi$
$113$	−6.18271	+	6.18271i	−0.581620	+	0.581620i	0.353728	+	0.935348i	$0.384914\pi$
$114$	−6.67524	+	8.50494i	−0.625193	+	0.796561i
$115$	7.39637	−	11.0694i	0.689715	−	1.03223i
$116$	14.3960	+	0.164373i	1.33664	+	0.0152616i
$117$	2.81509	−	4.76003i	0.260255	−	0.440065i
$118$	12.1414	+	3.75886i	1.11770	+	0.346031i
$119$	−1.30563	+	0.540811i	−0.119687	+	0.0495761i
$120$	3.97225	+	12.6224i	0.362615	+	1.15226i
$121$	2.87069	+	1.18908i	0.260972	+	0.108098i
$122$	−3.77792	+	4.55019i	−0.342037	+	0.411955i
$123$	−7.98070	−	3.05154i	−0.719596	−	0.275148i
$124$	−2.65782	+	12.6077i	−0.238679	+	1.13221i
$125$	7.16347	−	1.42490i	0.640720	−	0.127447i
$126$	−0.321375	−	0.897676i	−0.0286304	−	0.0799714i
$127$		−	5.87144i		−	0.521006i	−0.965473	−	0.260503i	$-0.916112\pi$
$127$		−	5.87144i		−	0.521006i	0.965473	−	0.260503i	$-0.0838884\pi$
$128$	11.2945	−	0.658242i	0.998306	−	0.0581809i
$129$	1.57765	+	2.22614i	0.138904	+	0.196001i
$130$	5.46867	−	4.43602i	0.479634	−	0.389064i
$131$	1.84224	+	9.26156i	0.160957	+	0.809187i	0.973924	+	0.226876i	$0.0728512\pi$
$131$	1.84224	+	9.26156i	0.160957	+	0.809187i	−0.812966	+	0.582311i	$0.802149\pi$
$132$	11.9390	−	5.17162i	1.03916	−	0.450132i
$133$	0.824775	−	0.551097i	0.0715171	−	0.0477862i
$134$	−8.93783	−	7.42088i	−0.772111	−	0.641066i
$135$	13.9445	+	1.59498i	1.20015	+	0.137274i
$136$	−16.9293	−	5.45375i	−1.45168	−	0.467655i
$137$	2.68881	+	6.49136i	0.229721	+	0.554594i	0.996143	−	0.0877421i	$-0.0279651\pi$
$137$	2.68881	+	6.49136i	0.229721	+	0.554594i	−0.766423	+	0.642337i	$0.777965\pi$
$138$	−11.4740	+	3.75535i	−0.976733	+	0.319677i
$139$	−2.66596	+	13.4027i	−0.226124	+	1.13680i	0.686225	+	0.727389i	$0.259266\pi$
$139$	−2.66596	+	13.4027i	−0.226124	+	1.13680i	−0.912349	+	0.409413i	$0.865734\pi$
$140$	0.0138612	−	1.21399i	0.00117149	−	0.102601i
$141$	10.4481	−	0.287269i	0.879893	−	0.0241924i
$142$	1.10265	+	3.71110i	0.0925326	+	0.311428i
$143$	−4.89577	−	4.89577i	−0.409405	−	0.409405i
$144$	4.23356	−	11.2284i	0.352797	−	0.935700i
$145$	13.7489	−	13.7489i	1.14178	−	1.14178i
$146$	7.95243	+	4.30921i	0.658147	+	0.356633i
$147$	−0.330826	−	12.0323i	−0.0272860	−	0.992410i
$148$	16.7111	−	6.69947i	1.37364	−	0.550693i
$149$	−12.8724	−	2.56049i	−1.05455	−	0.209763i	−0.362776	−	0.931876i	$-0.618171\pi$
$149$	−12.8724	−	2.56049i	−1.05455	−	0.209763i	−0.691775	+	0.722113i	$0.743171\pi$
$150$	5.01651	+	2.54250i	0.409596	+	0.207595i
$151$	−12.1990	+	5.05300i	−0.992742	+	0.411207i	−0.819131	−	0.573607i	$-0.805544\pi$
$151$	−12.1990	+	5.05300i	−0.992742	+	0.411207i	−0.173612	+	0.984814i	$0.555544\pi$
$152$	12.4014	+	1.43626i	1.00589	+	0.116496i
$153$	−12.5864	+	14.0524i	−1.01755	+	1.13607i
$154$	−1.18863	+	0.110222i	−0.0957826	+	0.00888197i
$155$	9.66785	+	14.4690i	0.776540	+	1.16217i
$156$	−6.38484	+	0.102616i	−0.511197	+	0.00821583i
$157$	13.9852	−	2.78184i	1.11614	−	0.222015i	0.397642	−	0.917541i	$-0.369828\pi$
$157$	13.9852	−	2.78184i	1.11614	−	0.222015i	0.718501	+	0.695526i	$0.244828\pi$
$158$	−17.5033	−	1.82487i	−1.39249	−	0.145179i
$159$	7.39877	−	5.24346i	0.586761	−	0.415833i
$160$	10.0265	−	11.5300i	0.792668	−	0.911525i
$161$	1.10766			0.0872961
$162$	−9.05444	−	8.94522i	−0.711384	−	0.702803i
$163$	−1.85551	−	9.32826i	−0.145334	−	0.730646i	−0.982875	−	0.184271i	$-0.941008\pi$
$163$	−1.85551	−	9.32826i	−0.145334	−	0.730646i	0.837541	−	0.546375i	$-0.183992\pi$
$164$	1.81416	+	9.69777i	0.141662	+	0.757269i
$165$	6.27582	−	16.4132i	0.488572	−	1.27776i
$166$	−12.5186	+	1.16085i	−0.971628	+	0.0900995i
$167$	−6.77662	+	16.3602i	−0.524391	+	1.26599i	0.410761	+	0.911743i	$0.365263\pi$
$167$	−6.77662	+	16.3602i	−0.524391	+	1.26599i	−0.935152	+	0.354248i	$0.884737\pi$
$168$	−0.689594	+	0.858254i	−0.0532033	+	0.0662158i
$169$	−3.67450	−	8.87103i	−0.282654	−	0.682387i
$170$	−21.2490	+	11.2023i	−1.62972	+	0.859181i
$171$	6.74054	−	11.3976i	0.515462	−	0.871594i
$172$	1.23884	−	2.89682i	0.0944603	−	0.220880i
$173$	−2.35470	−	1.57336i	−0.179024	−	0.119620i	0.462829	−	0.886447i	$-0.346834\pi$
$173$	−2.35470	−	1.57336i	−0.179024	−	0.119620i	−0.641854	+	0.766827i	$0.721834\pi$
$174$	−17.5059	+	2.11003i	−1.32712	+	0.159961i
$175$	−0.364861	−	0.364861i	−0.0275809	−	0.0275809i
$176$	−12.2980	−	8.62984i	−0.926998	−	0.650499i
$177$	−15.3450	−	2.61609i	−1.15340	−	0.196638i
$178$	2.37546	+	7.99485i	0.178048	+	0.599239i
$179$	14.8704	+	9.93607i	1.11146	+	0.742657i	0.968980	−	0.247140i	$-0.0794907\pi$
$179$	14.8704	+	9.93607i	1.11146	+	0.742657i	0.142485	+	0.989797i	$0.454491\pi$
$180$	−6.84813	−	14.6887i	−0.510429	−	1.09483i
$181$	−3.21012	−	0.638533i	−0.238606	−	0.0474618i	0.0743385	−	0.997233i	$-0.476315\pi$
$181$	−3.21012	−	0.638533i	−0.238606	−	0.0474618i	−0.312945	+	0.949771i	$0.601315\pi$
$182$	0.559663	+	0.173267i	0.0414850	+	0.0128434i
$183$	3.85712	−	6.13091i	0.285126	−	0.453210i
$184$	10.6232	+	9.02708i	0.783153	+	0.665485i
$185$	9.30509	−	22.4645i	0.684124	−	1.65162i
$186$	1.20440	−	15.7346i	0.0883108	−	1.15372i
$187$	13.1218	+	19.6382i	0.959565	+	1.43609i
$188$	−6.59019	−	10.1109i	−0.480639	−	0.737416i
$189$	0.534229	+	1.03839i	0.0388594	+	0.0755319i
$190$	13.0944	−	10.6217i	0.949964	−	0.770582i
$191$	−9.71747			−0.703131			−0.351566	−	0.936163i	$-0.614351\pi$
$191$	−9.71747			−0.703131			−0.351566	+	0.936163i	$0.614351\pi$
$192$	−13.6081	+	2.61126i	−0.982083	+	0.188451i
$193$	−13.1295			−0.945086			−0.472543	−	0.881308i	$-0.656664\pi$
$193$	−13.1295			−0.945086			−0.472543	+	0.881308i	$0.656664\pi$
$194$	17.9577	−	14.5667i	1.28928	−	1.04583i
$195$	−5.92832	+	6.26353i	−0.424536	+	0.448541i
$196$	−11.6440	+	7.58942i	−0.831714	+	0.542101i
$197$	−4.09830	−	6.13354i	−0.291992	−	0.436997i	0.656251	−	0.754543i	$-0.272141\pi$
$197$	−4.09830	−	6.13354i	−0.291992	−	0.436997i	−0.948243	+	0.317546i	$0.897141\pi$
$198$	−13.6666	+	8.19477i	−0.971242	+	0.582377i
$199$	5.31197	−	12.8242i	0.376556	−	0.909086i	−0.616050	−	0.787707i	$-0.711268\pi$
$199$	5.31197	−	12.8242i	0.376556	−	0.909086i	0.992606	−	0.121379i	$-0.0387318\pi$
$200$	−0.525759	−	6.47275i	−0.0371768	−	0.457692i
$201$	12.0428	+	7.57643i	0.849433	+	0.534400i
$202$	−11.3142	−	3.50280i	−0.796068	−	0.246456i
$203$	1.58667	+	0.315607i	0.111362	+	0.0221513i
$204$	21.4304	+	3.90586i	1.50043	+	0.273465i
$205$	11.0790	+	7.40274i	0.773790	+	0.517030i
$206$	−1.53516	−	5.16675i	−0.106960	−	0.359984i
$207$	13.3292	−	6.40054i	0.926441	−	0.444868i
$208$	3.95546	+	6.22281i	0.274262	+	0.431474i
$209$	−11.7226	−	11.7226i	−0.810869	−	0.810869i
$210$	0.177935	+	1.47624i	0.0122787	+	0.101870i
$211$	−3.26507	−	2.18165i	−0.224777	−	0.150191i	0.438083	−	0.898934i	$-0.355657\pi$
$211$	−3.26507	−	2.18165i	−0.224777	−	0.150191i	−0.662860	+	0.748743i	$0.730657\pi$
$212$	−9.62782	−	4.11737i	−0.661241	−	0.282782i
$213$	−1.93422	−	4.32908i	−0.132530	−	0.296624i
$214$	17.1979	−	9.06660i	1.17562	−	0.619780i
$215$	−1.62834	−	3.93116i	−0.111052	−	0.268103i
$216$	−3.33894	+	14.3126i	−0.227186	+	0.973851i
$217$	−0.554063	+	1.33763i	−0.0376122	+	0.0908039i
$218$	20.2896	−	1.88146i	1.37418	−	0.127429i
$219$	−10.3471	−	3.95636i	−0.699193	−	0.267346i
$220$	−19.9445	+	3.73101i	−1.34466	+	0.251545i
$221$	−2.26145	−	11.3691i	−0.152122	−	0.764767i
$222$	−19.2156	+	10.8155i	−1.28967	+	0.725886i
$223$	−21.8404			−1.46254			−0.731272	−	0.682086i	$-0.761073\pi$
$223$	−21.8404			−1.46254			−0.731272	+	0.682086i	$0.761073\pi$
$224$	1.26110	+	0.160665i	0.0842608	+	0.0107349i
$225$	−6.49890	−	2.28227i	−0.433260	−	0.152151i
$226$	−12.2987	−	1.28225i	−0.818101	−	0.0852942i
$227$	−15.0713	+	2.99786i	−1.00031	+	0.198975i	−0.667974	−	0.744184i	$-0.732838\pi$
$227$	−15.0713	+	2.99786i	−1.00031	+	0.198975i	−0.332341	+	0.943159i	$0.607838\pi$
$228$	−15.2881	+	0.245706i	−1.01248	+	0.0162723i
$229$	−8.04172	−	12.0353i	−0.531412	−	0.795314i	0.464507	−	0.885569i	$-0.346232\pi$
$229$	−8.04172	−	12.0353i	−0.531412	−	0.795314i	−0.995919	+	0.0902557i	$0.971232\pi$
$230$	18.7471	−	1.73843i	1.23615	−	0.114629i
$231$	1.42554	−	0.324528i	0.0937938	−	0.0213524i
$232$	12.6451	+	15.9577i	0.830189	+	1.04767i
$233$	6.45313	−	2.67297i	0.422758	−	0.175112i	−0.161153	−	0.986929i	$-0.551521\pi$
$233$	6.45313	−	2.67297i	0.422758	−	0.175112i	0.583912	+	0.811817i	$0.301521\pi$
$234$	7.73596	−	1.14894i	0.505716	−	0.0751086i
$235$	−15.9867	−	3.17995i	−1.04286	−	0.207437i
$236$	6.68851	+	16.6837i	0.435385	+	1.08602i
$237$	21.5451	−	0.592377i	1.39951	−	0.0384790i
$238$	−1.75718	−	0.952170i	−0.113901	−	0.0617200i
$239$	14.9125	−	14.9125i	0.964607	−	0.964607i	−0.0347874	−	0.999395i	$-0.511075\pi$
$239$	14.9125	−	14.9125i	0.964607	−	0.964607i	0.999395	+	0.0347874i	$0.0110754\pi$
$240$	−10.3243	+	15.6082i	−0.666433	+	1.00750i
$241$	21.5764	+	21.5764i	1.38986	+	1.38986i	0.825597	+	0.564261i	$0.190839\pi$
$241$	21.5764	+	21.5764i	1.38986	+	1.38986i	0.564261	+	0.825597i	$0.309161\pi$
$242$	1.25156	+	4.21226i	0.0804534	+	0.270774i
$243$	12.4289	+	9.40858i	0.797317	+	0.603560i
$244$	−8.36330	−	0.0954915i	−0.535405	−	0.00611322i
$245$	−3.66211	+	18.4107i	−0.233964	+	1.17621i
$246$	−3.75859	−	11.4839i	−0.239639	−	0.732187i
$247$	3.11368	+	7.51709i	0.198119	+	0.478301i
$248$	−16.2150	+	8.31327i	−1.02965	+	0.527893i
$249$	15.0137	−	3.41790i	0.951453	−	0.216600i
$250$	7.94700	+	6.59821i	0.502612	+	0.417308i
$251$	−14.4199	+	9.63510i	−0.910179	+	0.608162i	−0.920055	−	0.391789i	$-0.871856\pi$
$251$	−14.4199	+	9.63510i	−0.910179	+	0.608162i	0.00987642	+	0.999951i	$0.496856\pi$
$252$	0.699606	−	1.15272i	0.0440710	−	0.0726145i
$253$	−3.61155	−	18.1565i	−0.227056	−	1.14149i
$254$	6.44864	−	5.23094i	0.404623	−	0.328218i
$255$	24.0031	−	17.0109i	1.50313	−	1.06526i
$256$	10.7854	+	11.8184i	0.674087	+	0.738652i
$257$		−	21.8375i		−	1.36219i	−0.732196	−	0.681094i	$-0.761504\pi$
$257$		−	21.8375i		−	1.36219i	0.732196	−	0.681094i	$-0.238496\pi$
$258$	−1.03944	+	3.71604i	−0.0647125	+	0.231351i
$259$	1.98419	−	0.394680i	0.123292	−	0.0245242i
$260$	9.74420	+	2.05417i	0.604310	+	0.127394i
$261$	20.9170	−	5.37052i	1.29473	−	0.332427i
$262$	−8.53075	+	10.2746i	−0.527032	+	0.634766i
$263$	13.6376	+	5.64887i	0.840929	+	0.348324i	0.761220	−	0.648494i	$-0.224601\pi$
$263$	13.6376	+	5.64887i	0.840929	+	0.348324i	0.0797089	+	0.996818i	$0.474601\pi$
$264$	16.3167	+	8.50526i	1.00422	+	0.523463i
$265$	−13.0655	+	5.41192i	−0.802610	+	0.332452i
$266$	1.34008	+	0.414876i	0.0821653	+	0.0254377i
$267$	−4.16690	−	9.32617i	−0.255010	−	0.570752i
$268$	0.187572	−	16.4278i	0.0114578	−	1.00349i
$269$	−12.5566	+	18.7923i	−0.765591	+	1.14579i	0.219810	+	0.975543i	$0.429456\pi$
$269$	−12.5566	+	18.7923i	−0.765591	+	1.14579i	−0.985402	+	0.170246i	$0.945544\pi$
$270$	10.6715	+	16.7363i	0.649448	+	1.01854i
$271$	0.680826	−	0.680826i	0.0413572	−	0.0413572i	−0.686126	−	0.727483i	$-0.740690\pi$
$271$	0.680826	−	0.680826i	0.0413572	−	0.0413572i	0.727483	+	0.686126i	$0.240690\pi$
$272$	−9.09265	−	23.4524i	−0.551323	−	1.42201i
$273$	−0.707336	−	0.120590i	−0.0428099	−	0.00729846i
$274$	−4.73401	+	8.73637i	−0.285992	+	0.527783i
$275$	−4.79105	+	7.17032i	−0.288911	+	0.432387i
$276$	−14.3469	−	9.25629i	−0.863580	−	0.557163i
$277$	−3.03373	+	15.2516i	−0.182279	+	0.916378i	0.776041	+	0.630682i	$0.217225\pi$
$277$	−3.03373	+	15.2516i	−0.182279	+	0.916378i	−0.958320	+	0.285696i	$0.907775\pi$
$278$	−17.0954	+	9.01258i	−1.02531	+	0.540539i
$279$	1.06199	+	19.2980i	0.0635798	+	1.15534i
$280$	1.34568	−	1.06633i	0.0804198	−	0.0637256i
$281$	2.89583	+	1.19949i	0.172751	+	0.0715557i	0.467383	−	0.884055i	$-0.345197\pi$
$281$	2.89583	+	1.19949i	0.172751	+	0.0715557i	−0.294632	+	0.955611i	$0.595197\pi$
$282$	9.62389	+	11.2193i	0.573095	+	0.668101i
$283$	12.6363	−	8.44328i	0.751147	−	0.501901i	−0.120090	−	0.992763i	$-0.538318\pi$
$283$	12.6363	−	8.44328i	0.751147	−	0.501901i	0.871237	+	0.490862i	$0.163318\pi$
$284$	−3.09355	+	4.51731i	−0.183569	+	0.268053i
$285$	−14.1950	+	14.9976i	−0.840837	+	0.888381i
$286$	1.01535	−	9.73876i	0.0600390	−	0.575865i
$287$			1.10862i			0.0654397i
$288$	16.1039	−	5.35378i	0.948934	−	0.315474i
$289$			22.5431i			1.32607i
$290$	27.3496	+	2.85143i	1.60602	+	0.167442i
$291$	−19.4670	+	20.5678i	−1.14118	+	1.20570i
$292$	2.35209	+	12.5733i	0.137645	+	0.735798i
$293$	−0.788441	+	0.526819i	−0.0460612	+	0.0307771i	−0.578388	−	0.815762i	$-0.696318\pi$
$293$	−0.788441	+	0.526819i	−0.0460612	+	0.0307771i	0.532326	+	0.846539i	$0.321318\pi$
$294$	12.9204	−	11.0831i	0.753535	−	0.646379i
$295$	22.4277	+	9.28987i	1.30579	+	0.540877i
$296$	22.2462	+	12.3852i	1.29303	+	0.719877i
$297$	15.2791	−	12.1426i	0.886585	−	0.704585i
$298$	−8.65601	−	16.4190i	−0.501429	−	0.951129i
$299$	−1.77251	+	8.91101i	−0.102507	+	0.515337i
$300$	1.67682	+	7.77480i	0.0968113	+	0.448879i
$301$	0.196686	−	0.294361i	0.0113368	−	0.0169667i
$302$	−16.4180	−	8.89648i	−0.944750	−	0.511935i
$303$	14.2996	+	2.43788i	0.821492	+	0.140052i
$304$	9.47109	+	14.9001i	0.543204	+	0.854579i
$305$	−7.98736	+	7.98736i	−0.457355	+	0.457355i
$306$	−26.6472	−	1.30430i	−1.52332	−	0.0745618i
$307$	−4.10368	+	6.14160i	−0.234210	+	0.350519i	−0.929894	−	0.367828i	$-0.880101\pi$
$307$	−4.10368	+	6.14160i	−0.234210	+	0.350519i	0.695684	+	0.718348i	$0.255101\pi$
$308$	−1.18002	−	1.20728i	−0.0672381	−	0.0687913i
$309$	2.69290	+	6.02713i	0.153194	+	0.342871i
$310$	−7.27813	+	23.5088i	−0.413370	+	1.33521i
$311$	−4.51135	+	1.86866i	−0.255815	+	0.105962i	−0.506906	−	0.862002i	$-0.669211\pi$
$311$	−4.51135	+	1.86866i	−0.255815	+	0.105962i	0.251091	+	0.967964i	$0.419211\pi$
$312$	−5.80104	−	6.92109i	−0.328419	−	0.391830i
$313$	−29.8873	−	12.3797i	−1.68933	−	0.699743i	−0.689627	−	0.724164i	$-0.742226\pi$
$313$	−29.8873	−	12.3797i	−1.68933	−	0.699743i	−0.999702	+	0.0244212i	$0.992226\pi$
$314$	15.5149	+	12.8817i	0.875558	+	0.726956i
$315$	−0.452886	−	1.76389i	−0.0255172	−	0.0993839i
$316$	−13.5896	−	20.8498i	−0.764476	−	1.17289i
$317$	−20.5647	+	4.09058i	−1.15503	+	0.229750i	−0.735198	−	0.677853i	$-0.762911\pi$
$317$	−20.5647	+	4.09058i	−1.15503	+	0.229750i	−0.419831	+	0.907602i	$0.637911\pi$
$318$	12.3506	+	3.45465i	0.692586	+	0.193727i
$319$		−	27.0372i		−	1.51379i
$320$	21.5962	+	0.740009i	1.20726	+	0.0413678i
$321$	−19.4269	+	13.7677i	−1.08430	+	0.768439i
$322$	0.986831	+	1.21655i	0.0549939	+	0.0677958i
$323$	−5.41489	−	27.2225i	−0.301293	−	1.51470i
$324$	1.75788	−	17.9140i	0.0976598	−	0.995220i
$325$	3.51912	−	2.35140i	0.195205	−	0.130432i
$326$	8.59219	−	10.3486i	0.475877	−	0.573155i
$327$	−24.3336	+	5.53959i	−1.34565	+	0.306340i
$328$	−9.03486	+	10.6324i	−0.498867	+	0.587074i
$329$	−0.518983	−	1.25294i	−0.0286125	−	0.0690766i
$330$	23.6179	−	7.72995i	1.30012	−	0.425520i
$331$	−1.37125	+	6.89372i	−0.0753705	+	0.378913i	−0.999998	−	0.00195950i	$-0.999376\pi$
$331$	−1.37125	+	6.89372i	−0.0753705	+	0.378913i	0.924628	+	0.380872i	$0.124376\pi$
$332$	−12.4279	−	12.7150i	−0.682070	−	0.697825i
$333$	21.5963	−	16.2149i	1.18347	−	0.888570i
$334$	−24.0059	+	7.13271i	−1.31354	+	0.390285i
$335$	−15.6894	−	15.6894i	−0.857202	−	0.857202i
$336$	−1.55699	+	0.00724467i	−0.0849409	+	0.000395229i
$337$	−12.1364	+	12.1364i	−0.661114	+	0.661114i	−0.955643	−	0.294529i	$-0.904837\pi$
$337$	−12.1364	+	12.1364i	−0.661114	+	0.661114i	0.294529	+	0.955643i	$0.404837\pi$
$338$	6.46945	−	11.9390i	0.351892	−	0.649398i
$339$	15.1388	−	0.416236i	0.822224	−	0.0226068i
$340$	−31.2346	−	13.3576i	−1.69393	−	0.724418i
$341$	23.7325	+	4.72068i	1.28519	+	0.255639i
$342$	18.5232	−	2.75106i	1.00162	−	0.148760i
$343$	−2.89631	+	1.19969i	−0.156386	+	0.0647771i
$344$	4.28528	−	1.22019i	0.231047	−	0.0657882i
$345$	−22.4837	+	5.11847i	−1.21048	+	0.275569i
$346$	−0.369800	−	3.98790i	−0.0198806	−	0.214391i
$347$	4.55745	+	6.82071i	0.244657	+	0.366155i	0.933392	−	0.358858i	$-0.116834\pi$
$347$	4.55745	+	6.82071i	0.244657	+	0.366155i	−0.688735	+	0.725013i	$0.741834\pi$
$348$	−17.9137	−	17.3470i	−0.960274	−	0.929895i
$349$	−18.8023	+	3.74002i	−1.00647	+	0.200198i	−0.670685	−	0.741742i	$-0.734000\pi$
$349$	−18.8023	+	3.74002i	−1.00647	+	0.200198i	−0.335780	+	0.941940i	$0.609000\pi$
$350$	0.0756698	−	0.725788i	0.00404472	−	0.0387950i
$351$	−9.20861	+	2.63614i	−0.491519	+	0.140707i
$352$	−1.47825	−	21.1954i	−0.0787911	−	1.12972i
$353$	2.39915			0.127694			0.0638471	−	0.997960i	$-0.479663\pi$
$353$	2.39915			0.127694			0.0638471	+	0.997960i	$0.479663\pi$
$354$	−10.7978	−	19.1842i	−0.573895	−	1.01963i
$355$	1.44257	+	7.25228i	0.0765635	+	0.384911i
$356$	−6.66446	+	9.73168i	−0.353216	+	0.515778i
$357$	2.28632	+	0.874205i	0.121005	+	0.0462678i
$358$	2.33536	+	25.1844i	0.123428	+	1.33104i
$359$	7.68944	−	18.5640i	0.405833	−	0.979768i	−0.580389	−	0.814340i	$-0.697099\pi$
$359$	7.68944	−	18.5640i	0.405833	−	0.979768i	0.986222	−	0.165428i	$-0.0529007\pi$
$360$	10.0316	−	20.6077i	0.528714	−	1.08612i
$361$	0.184509	+	0.445444i	0.00971100	+	0.0234444i
$362$	−2.15863	−	4.09457i	−0.113455	−	0.215206i
$363$	−2.19542	−	4.91370i	−0.115230	−	0.257902i
$364$	0.308310	+	0.769047i	0.0161599	+	0.0403090i
$365$	14.3641	+	9.59777i	0.751850	+	0.502370i
$366$	10.1700	−	1.22581i	0.531593	−	0.0640742i
$367$	13.4524	+	13.4524i	0.702207	+	0.702207i	0.964884	−	0.262677i	$-0.0846053\pi$
$367$	13.4524	+	13.4524i	0.702207	+	0.702207i	−0.262677	+	0.964884i	$0.584605\pi$
$368$	−0.450150	+	19.7099i	−0.0234657	+	1.02745i
$369$	6.40605	+	13.3407i	0.333486	+	0.694487i
$370$	32.9629	−	9.79404i	1.71366	−	0.509168i
$371$	−0.978333	−	0.653701i	−0.0507925	−	0.0339385i
$372$	18.3544	−	12.6953i	0.951632	−	0.658223i
$373$	0.738592	+	0.146915i	0.0382428	+	0.00760697i	0.214175	−	0.976795i	$-0.431294\pi$
$373$	0.738592	+	0.146915i	0.0382428	+	0.00760697i	−0.175932	+	0.984402i	$0.556294\pi$
$374$	−9.87837	+	31.9077i	−0.510798	+	1.64991i
$375$	−10.7078	−	6.73653i	−0.552946	−	0.347873i
$376$	5.23362	−	16.2460i	0.269904	−	0.837824i
$377$	−5.07804	+	12.2595i	−0.261532	+	0.631395i
$378$	−0.664520	+	1.51186i	−0.0341792	+	0.0777618i
$379$	20.6000	+	30.8301i	1.05815	+	1.58364i	0.782781	+	0.622297i	$0.213800\pi$
$379$	20.6000	+	30.8301i	1.05815	+	1.58364i	0.275370	+	0.961338i	$0.411200\pi$
$380$	23.3318	+	4.91856i	1.19690	+	0.252317i
$381$	−6.99066	+	7.38594i	−0.358142	+	0.378393i
$382$	−8.65741	−	10.6727i	−0.442952	−	0.546065i
$383$	−6.06226			−0.309767			−0.154883	−	0.987933i	$-0.549500\pi$
$383$	−6.06226			−0.309767			−0.154883	+	0.987933i	$0.549500\pi$
$384$	−14.9916	−	12.6195i	−0.765038	−	0.643986i
$385$	−2.27999			−0.116199
$386$	−11.6973	−	14.4203i	−0.595376	−	0.733972i
$387$	0.665895	−	4.67875i	0.0338493	−	0.237834i
$388$	31.9974	+	6.74534i	1.62442	+	0.342443i
$389$	−2.01124	−	3.01003i	−0.101974	−	0.152614i	0.776974	−	0.629533i	$-0.216754\pi$
$389$	−2.01124	−	3.01003i	−0.101974	−	0.152614i	−0.878948	+	0.476918i	$0.841754\pi$
$390$	−12.1609	−	0.930851i	−0.615790	−	0.0471355i
$391$	11.8608	−	28.6344i	0.599824	−	1.44810i
$392$	−18.7093	−	6.02716i	−0.944961	−	0.304418i
$393$	8.70958	−	13.8439i	0.439340	−	0.698334i
$394$	3.08528	−	9.96564i	0.155434	−	0.502062i
$395$	−32.9662	−	6.55738i	−1.65871	−	0.329938i
$396$	−21.1761	−	7.70927i	−1.06414	−	0.387405i
$397$	11.5530	+	7.71947i	0.579828	+	0.387429i	0.810619	−	0.585575i	$-0.199131\pi$
$397$	11.5530	+	7.71947i	0.579828	+	0.387429i	−0.230790	+	0.973004i	$0.574131\pi$
$398$	18.8174	−	5.59110i	0.943233	−	0.280257i
$399$	−1.69367	−	0.288745i	−0.0847895	−	0.0144554i
$400$	6.64065	−	6.34409i	0.332032	−	0.317205i
$401$	19.3426	+	19.3426i	0.965925	+	0.965925i	0.999438	−	0.0335131i	$-0.0106696\pi$
$401$	19.3426	+	19.3426i	0.965925	+	0.965925i	−0.0335131	+	0.999438i	$0.510670\pi$
$402$	2.40783	+	19.9766i	0.120092	+	0.996343i
$403$	−9.87440	−	6.59786i	−0.491879	−	0.328663i
$404$	−6.23286	−	15.5472i	−0.310096	−	0.773501i
$405$	−15.6423	−	18.6090i	−0.777273	−	0.924687i
$406$	1.06695	+	2.02382i	0.0529517	+	0.100441i
$407$	−12.9389	−	31.2374i	−0.641359	−	1.54838i
$408$	14.8028	+	27.0169i	0.732846	+	1.33754i
$409$	−6.29782	+	15.2043i	−0.311407	+	0.751803i	0.688246	+	0.725477i	$0.258381\pi$
$409$	−6.29782	+	15.2043i	−0.311407	+	0.751803i	−0.999653	+	0.0263261i	$0.991619\pi$
$410$	1.73993	+	18.7633i	0.0859290	+	0.926654i
$411$	4.34638	−	11.3671i	0.214391	−	0.560699i
$412$	4.30697	−	6.28919i	0.212189	−	0.309846i
$413$	0.394034	+	1.98094i	0.0193892	+	0.0974759i
$414$	18.9049	+	8.93718i	0.929123	+	0.439238i
$415$	−24.0127			−1.17874
$416$	−3.31057	+	9.88828i	−0.162314	+	0.484813i
$417$	19.3112	−	13.6857i	0.945671	−	0.670191i
$418$	2.43119	−	23.3188i	0.118913	−	1.14056i
$419$	17.1733	−	3.41598i	0.838971	−	0.166882i	0.243139	−	0.969991i	$-0.421823\pi$
$419$	17.1733	−	3.41598i	0.838971	−	0.166882i	0.595831	+	0.803110i	$0.296823\pi$
$420$	−1.46284	+	1.51063i	−0.0713792	+	0.0737110i
$421$	15.5605	+	23.2879i	0.758372	+	1.13498i	0.986882	+	0.161442i	$0.0516146\pi$
$421$	15.5605	+	23.2879i	0.758372	+	1.13498i	−0.228510	+	0.973542i	$0.573385\pi$
$422$	−0.512772	−	5.52970i	−0.0249613	−	0.269182i
$423$	−13.4852	−	12.0784i	−0.655673	−	0.587273i
$424$	−4.05540	−	14.2425i	−0.196948	−	0.691677i
$425$	−13.3390	+	5.52518i	−0.647035	+	0.268011i
$426$	3.03143	−	5.98119i	0.146873	−	0.289790i
$427$	−0.921766	−	0.183351i	−0.0446074	−	0.00887296i
$428$	25.2797	+	10.8110i	1.22194	+	0.522568i
$429$	0.329596	+	11.9876i	0.0159131	+	0.578768i
$430$	2.86691	−	5.29073i	0.138255	−	0.255142i
$431$	−8.82179	+	8.82179i	−0.424931	+	0.424931i	−0.886897	−	0.461966i	$-0.847144\pi$
$431$	−8.82179	+	8.82179i	−0.424931	+	0.424931i	0.461966	+	0.886897i	$0.347144\pi$
$432$	−18.6943	+	9.08413i	−0.899432	+	0.437060i
$433$	−17.1259	−	17.1259i	−0.823018	−	0.823018i	0.163521	−	0.986540i	$-0.447715\pi$
$433$	−17.1259	−	17.1259i	−0.823018	−	0.823018i	−0.986540	+	0.163521i	$0.947715\pi$
$434$	−1.96274	+	0.583177i	−0.0942147	+	0.0279934i
$435$	−33.6651	+	0.925612i	−1.61412	+	0.0443797i
$436$	20.1426	+	20.6079i	0.964657	+	0.986941i
$437$	−4.24415	+	21.3368i	−0.203025	+	1.02068i
$438$	−4.87307	−	14.8891i	−0.232844	−	0.711427i
$439$	−8.82799	−	21.3126i	−0.421337	−	1.01720i	−0.981954	−	0.189122i	$-0.939436\pi$
$439$	−8.82799	−	21.3126i	−0.421337	−	1.01720i	0.560617	−	0.828075i	$-0.310564\pi$
$440$	−21.8666	−	18.5812i	−1.04245	−	0.885823i
$441$	−13.9098	+	15.5299i	−0.662371	+	0.739518i
$442$	10.4720	−	12.6126i	0.498101	−	0.599921i
$443$	0.625397	−	0.417877i	0.0297135	−	0.0198539i	−0.540625	−	0.841264i	$-0.681812\pi$
$443$	0.625397	−	0.417877i	0.0297135	−	0.0198539i	0.570338	+	0.821410i	$0.306812\pi$
$444$	−28.9981	−	11.4690i	−1.37619	−	0.544295i
$445$	3.10774	+	15.6236i	0.147321	+	0.740632i
$446$	−19.4579	−	23.9875i	−0.921359	−	1.13584i
$447$	13.1442	+	18.5471i	0.621701	+	0.877249i
$448$	0.947070	+	1.52821i	0.0447448	+	0.0722012i
$449$		−	11.2059i		−	0.528838i	−0.964408	−	0.264419i	$-0.914820\pi$
$449$		−	11.2059i		−	0.528838i	0.964408	−	0.264419i	$-0.0851802\pi$
$450$	−3.28332	−	9.17108i	−0.154777	−	0.432329i
$451$	18.1721	−	3.61466i	0.855692	−	0.170208i
$452$	−9.54880	−	14.6502i	−0.449138	−	0.689086i
$453$	21.3619	+	8.16802i	1.00367	+	0.383767i
$454$	−16.7197	−	13.8820i	−0.784696	−	0.651516i
$455$	1.03382	+	0.428222i	0.0484661	+	0.0200753i
$456$	−13.8902	−	16.5721i	−0.650468	−	0.776059i
$457$	7.55593	−	3.12977i	0.353451	−	0.146404i	−0.198891	−	0.980022i	$-0.563734\pi$
$457$	7.55593	−	3.12977i	0.353451	−	0.146404i	0.552343	+	0.833617i	$0.313734\pi$
$458$	6.05395	−	19.5546i	0.282883	−	0.913729i
$459$	32.5641	−	2.69145i	1.51996	−	0.125626i
$460$	18.6114	+	19.0413i	0.867761	+	0.887805i
$461$	−15.4154	+	23.0707i	−0.717965	+	1.07451i	0.275602	+	0.961272i	$0.411123\pi$
$461$	−15.4154	+	23.0707i	−0.717965	+	1.07451i	−0.993568	+	0.113239i	$0.963877\pi$
$462$	1.62646	+	1.27656i	0.0756699	+	0.0593907i
$463$	7.21675	−	7.21675i	0.335391	−	0.335391i	−0.519239	−	0.854629i	$-0.673784\pi$
$463$	7.21675	−	7.21675i	0.335391	−	0.335391i	0.854629	+	0.519239i	$0.173784\pi$
$464$	−6.26076	+	28.1050i	−0.290649	+	1.30474i
$465$	5.06544	−	29.7119i	0.234904	−	1.37786i
$466$	8.68491	+	4.70612i	0.402321	+	0.218007i
$467$	2.23916	−	3.35114i	0.103616	−	0.155072i	−0.776039	−	0.630685i	$-0.782774\pi$
$467$	2.23916	−	3.35114i	0.103616	−	0.155072i	0.879654	+	0.475613i	$0.157774\pi$
$468$	8.15395	+	7.47284i	0.376916	+	0.345432i
$469$	0.360151	−	1.81060i	0.0166302	−	0.0836058i
$470$	−10.7502	−	20.3914i	−0.495870	−	0.940583i
$471$	−20.9048	−	13.1517i	−0.963240	−	0.605999i
$472$	−12.3650	+	22.2098i	−0.569144	+	1.02229i
$473$	−5.46637	−	2.26424i	−0.251344	−	0.104110i
$474$	19.8454	+	23.1354i	0.911530	+	1.06264i
$475$	8.42629	−	5.63027i	0.386625	−	0.258334i
$476$	−0.519721	−	2.77822i	−0.0238214	−	0.127340i
$477$	−15.5502	−	2.21316i	−0.711995	−	0.101334i
$478$	29.6641	+	3.09275i	1.35681	+	0.141459i
$479$			7.63624i			0.348909i	0.984665	+	0.174454i	$0.0558161\pi$
$479$			7.63624i			0.348909i	−0.984665	+	0.174454i	$0.944184\pi$
$480$	−26.3407	+	2.56625i	−1.20228	+	0.117133i
$481$			16.5941i			0.756627i
$482$	−4.47480	+	42.9201i	−0.203822	+	1.95496i
$483$	−1.39338	−	1.31881i	−0.0634009	−	0.0600078i
$484$	−3.51132	+	5.12735i	−0.159605	+	0.233061i
$485$	36.7211	−	24.5362i	1.66742	−	1.11413i
$486$	0.739607	+	22.0330i	0.0335493	+	0.999437i
$487$	11.0892	+	4.59329i	0.502499	+	0.208142i	0.619510	−	0.784989i	$-0.287331\pi$
$487$	11.0892	+	4.59329i	0.502499	+	0.208142i	−0.117011	+	0.993131i	$0.537331\pi$
$488$	−7.34609	−	9.27053i	−0.332542	−	0.419657i
$489$	−8.77230	+	13.9436i	−0.396697	+	0.630553i
$490$	−23.4832	+	12.3802i	−1.06086	+	0.559279i
$491$	3.44475	−	17.3179i	0.155460	−	0.781548i	−0.821845	−	0.569711i	$-0.807055\pi$
$491$	3.44475	−	17.3179i	0.155460	−	0.781548i	0.977305	−	0.211837i	$-0.0679447\pi$
$492$	9.26426	−	14.3592i	0.417665	−	0.647364i
$493$	25.1487	−	37.6377i	1.13264	−	1.69511i
$494$	−5.48204	+	10.1168i	−0.246649	+	0.455178i
$495$	−27.4365	+	13.1747i	−1.23318	+	0.592161i
$496$	−23.5767	−	10.4027i	−1.05862	−	0.467093i
$497$	−0.435025	+	0.435025i	−0.0195135	+	0.0195135i
$498$	17.1298	+	13.4446i	0.767603	+	0.602465i
$499$	15.1695	−	22.7027i	0.679080	−	1.01631i	−0.318577	−	0.947897i	$-0.603205\pi$
$499$	15.1695	−	22.7027i	0.679080	−	1.01631i	0.997657	−	0.0684175i	$-0.0217950\pi$
$500$	−0.166778	+	14.6067i	−0.00745853	+	0.653230i
$501$	28.0034	−	12.5118i	1.25110	−	0.558988i
$502$	−23.4292	−	7.25348i	−1.04570	−	0.323739i
$503$	20.3314	−	8.42152i	0.906530	−	0.375497i	0.119803	−	0.992798i	$-0.461774\pi$
$503$	20.3314	−	8.42152i	0.906530	−	0.375497i	0.786727	+	0.617300i	$0.211774\pi$
$504$	1.88933	−	0.258591i	0.0841572	−	0.0115186i
$505$	−20.8999	−	8.65701i	−0.930032	−	0.385232i
$506$	16.7238	−	20.1424i	0.743463	−	0.895439i
$507$	−5.93972	+	15.5342i	−0.263792	+	0.689898i
$508$	11.4903	+	2.42227i	0.509801	+	0.107471i
$509$	32.8678	−	6.53780i	1.45684	−	0.289783i	0.597779	−	0.801661i	$-0.296050\pi$
$509$	32.8678	−	6.53780i	1.45684	−	0.289783i	0.859058	+	0.511878i	$0.171050\pi$
$510$	40.0678	+	11.2076i	1.77423	+	0.496281i
$511$			1.43734i			0.0635842i
$512$	−3.37140	+	22.3748i	−0.148996	+	0.988838i
$513$	−22.0494	+	6.31207i	−0.973504	+	0.278685i
$514$	23.9843	−	19.4553i	1.05790	−	0.858138i
$515$	−2.00840	−	10.0969i	−0.0885008	−	0.444924i
$516$	−5.00740	+	2.16905i	−0.220438	+	0.0954870i
$517$	−18.8456	+	12.5922i	−0.828828	+	0.553805i
$518$	2.20122	+	1.82762i	0.0967159	+	0.0803011i
$519$	1.08880	+	4.78275i	0.0477931	+	0.209939i
$520$	6.42513	+	12.5322i	0.281760	+	0.549573i
$521$	0.588808	+	1.42151i	0.0257962	+	0.0622774i	0.936253	−	0.351327i	$-0.114270\pi$
$521$	0.588808	+	1.42151i	0.0257962	+	0.0622774i	−0.910457	+	0.413605i	$0.864270\pi$
$522$	24.5337	+	18.1886i	1.07381	+	0.796093i
$523$	2.29528	−	11.5391i	0.100365	−	0.504571i	−0.897600	−	0.440811i	$-0.854691\pi$
$523$	2.29528	−	11.5391i	0.100365	−	0.504571i	0.997965	−	0.0637598i	$-0.0203091\pi$
$524$	−18.8848	−	0.215625i	−0.824986	−	0.00941962i
$525$	0.0245634	+	0.893385i	0.00107203	+	0.0389905i
$526$	5.94570	+	20.0109i	0.259245	+	0.872515i
$527$	28.6463	+	28.6463i	1.24785	+	1.24785i
$528$	5.19534	+	25.4981i	0.226098	+	1.10966i
$529$	−0.914009	+	0.914009i	−0.0397395	+	0.0397395i
$530$	−17.5842	−	9.52841i	−0.763809	−	0.413888i
$531$	16.1884	+	21.5610i	0.702515	+	0.935666i
$532$	0.738229	+	1.84143i	0.0320063	+	0.0798361i
$533$	−8.91869	−	1.77404i	−0.386311	−	0.0768421i
$534$	6.53064	−	12.8853i	0.282609	−	0.557603i
$535$	34.3061	−	14.2100i	1.48318	−	0.614354i
$536$	18.2099	−	14.4297i	0.786547	−	0.623269i
$537$	−6.87601	−	30.2040i	−0.296722	−	1.30340i
$538$	−31.8266	+	2.95129i	−1.37214	+	0.127239i
$539$	14.5015	+	21.7030i	0.624624	+	0.934815i
$540$	−8.87416	+	26.6311i	−0.381883	+	1.14602i
$541$	−12.5139	+	2.48917i	−0.538015	+	0.107018i	−0.456616	−	0.889664i	$-0.650939\pi$
$541$	−12.5139	+	2.48917i	−0.538015	+	0.107018i	−0.0813987	+	0.996682i	$0.525939\pi$
$542$	1.35431	+	0.141199i	0.0581727	+	0.00606501i
$543$	3.27790	+	4.62527i	0.140668	+	0.198489i
$544$	17.6571	−	30.8805i	0.757043	−	1.32399i
$545$	38.9188			1.66710
$546$	−0.497729	−	0.884306i	−0.0213008	−	0.0378448i
$547$	1.34057	+	6.73951i	0.0573187	+	0.288161i	0.998804	−	0.0488934i	$-0.0155695\pi$
$547$	1.34057	+	6.73951i	0.0573187	+	0.288161i	−0.941485	+	0.337054i	$0.890569\pi$
$548$	−13.8128	+	2.58395i	−0.590053	+	0.110381i
$549$	−12.1516	+	3.11998i	−0.518619	+	0.133157i
$550$	−12.1436	+	1.12608i	−0.517805	+	0.0480163i
$551$	−12.1590	+	29.3545i	−0.517992	+	1.25054i
$552$	−2.61556	−	24.0038i	−0.111326	−	1.02167i
$553$	−1.07019	−	2.58368i	−0.0455093	−	0.109869i
$554$	−19.4537	+	10.2559i	−0.826507	+	0.435730i
$555$	−38.4519	+	17.1802i	−1.63219	+	0.729259i
$556$	−25.1291	−	10.7465i	−1.06571	−	0.455755i
$557$	−21.4271	−	14.3171i	−0.907894	−	0.606635i	0.0115170	−	0.999934i	$-0.496334\pi$
$557$	−21.4271	−	14.3171i	−0.907894	−	0.606635i	−0.919411	+	0.393298i	$0.871334\pi$
$558$	−20.2490	+	18.3592i	−0.857209	+	0.777209i
$559$	2.05335	+	2.05335i	0.0868476	+	0.0868476i
$560$	2.37004	+	0.527958i	0.100153	+	0.0223103i
$561$	6.87515	−	40.3269i	0.290269	−	1.70260i
$562$	1.26252	+	4.24915i	0.0532563	+	0.179240i
$563$	17.0640	+	11.4018i	0.719162	+	0.480528i	0.860511	−	0.509431i	$-0.170144\pi$
$563$	17.0640	+	11.4018i	0.719162	+	0.480528i	−0.141350	+	0.989960i	$0.545144\pi$
$564$	−3.74821	+	20.5654i	−0.157828	+	0.865960i
$565$	−23.1638	−	4.60757i	−0.974509	−	0.193842i
$566$	20.5311	+	6.35625i	0.862986	+	0.267173i
$567$	0.564300	−	1.94230i	0.0236984	−	0.0815690i
$568$	−7.71747	+	0.626864i	−0.323818	+	0.0263026i
$569$	−4.14149	+	9.99843i	−0.173620	+	0.419156i	−0.986605	−	0.163129i	$-0.947841\pi$
$569$	−4.14149	+	9.99843i	−0.173620	+	0.419156i	0.812985	+	0.582285i	$0.197841\pi$
$570$	−29.1184	−	2.22886i	−1.21964	−	0.0933566i
$571$	−24.6168	−	36.8416i	−1.03018	−	1.54177i	−0.826661	−	0.562701i	$-0.809762\pi$
$571$	−24.6168	−	36.8416i	−1.03018	−	1.54177i	−0.203518	−	0.979071i	$-0.565238\pi$
$572$	11.6007	−	7.56122i	0.485051	−	0.316150i
$573$	12.2240	+	11.5698i	0.510666	+	0.483336i
$574$	−1.21760	+	0.987681i	−0.0508217	+	0.0412250i
$575$	11.3164			0.471927
$576$	20.2273	+	12.9173i	0.842804	+	0.538221i
$577$	5.58949			0.232693			0.116347	−	0.993209i	$-0.462882\pi$
$577$	5.58949			0.232693			0.116347	+	0.993209i	$0.462882\pi$
$578$	−24.7592	+	20.0839i	−1.02985	+	0.835382i
$579$	16.5162	+	15.6323i	0.686391	+	0.649657i
$580$	21.2343	+	32.5786i	0.881707	+	1.35275i
$581$	−1.10996	−	1.66118i	−0.0460490	−	0.0689172i
$582$	−39.9331	−	3.05667i	−1.65528	−	0.126703i
$583$	−7.52540	+	18.1679i	−0.311670	+	0.752439i
$584$	−11.7138	+	13.7850i	−0.484722	+	0.570429i
$585$	14.9150	−	0.820787i	0.616659	−	0.0339354i
$586$	−1.28104	−	0.396599i	−0.0529193	−	0.0163834i
$587$	1.57303	+	0.312895i	0.0649258	+	0.0129145i	0.227446	−	0.973791i	$-0.426962\pi$
$587$	1.57303	+	0.312895i	0.0649258	+	0.0129145i	−0.162521	+	0.986705i	$0.551962\pi$
$588$	23.6836	+	4.31653i	0.976695	+	0.178011i
$589$	−23.6436	−	15.7981i	−0.974217	−	0.650951i
$590$	9.77802	+	32.9089i	0.402555	+	1.35484i
$591$	−2.14729	+	12.5952i	−0.0883278	+	0.518096i
$592$	6.21660	+	35.4673i	0.255501	+	1.45770i
$593$	4.33456	+	4.33456i	0.177999	+	0.177999i	0.790483	−	0.612484i	$-0.209830\pi$
$593$	4.33456	+	4.33456i	0.177999	+	0.177999i	−0.612484	+	0.790483i	$0.709830\pi$
$594$	26.9487	+	5.96316i	1.10572	+	0.244672i
$595$	−3.17391	−	2.12074i	−0.130118	−	0.0869419i
$596$	10.3214	−	24.1349i	0.422780	−	0.988603i
$597$	−21.9510	+	9.80762i	−0.898393	+	0.401399i
$598$	−11.3662	+	5.99217i	−0.464797	+	0.245038i
$599$	−9.62407	−	23.2346i	−0.393229	−	0.949338i	−0.989232	−	0.146356i	$-0.953245\pi$
$599$	−9.62407	−	23.2346i	−0.393229	−	0.949338i	0.596003	−	0.802982i	$-0.296755\pi$
$600$	−7.04521	+	8.76833i	−0.287620	+	0.357966i
$601$	0.673957	−	1.62708i	0.0274913	−	0.0663699i	−0.909538	−	0.415621i	$-0.863564\pi$
$601$	0.673957	−	1.62708i	0.0274913	−	0.0663699i	0.937029	+	0.349252i	$0.113564\pi$
$602$	0.498528	−	0.0462287i	0.0203185	−	0.00188414i
$603$	−6.12849	−	23.8691i	−0.249572	−	0.972026i
$604$	−4.85595	−	25.9580i	−0.197586	−	1.05621i
$605$	1.63738	+	8.23165i	0.0665689	+	0.334664i
$606$	10.0622	+	17.8773i	0.408748	+	0.726216i
$607$	11.3664			0.461349			0.230674	−	0.973031i	$-0.425907\pi$
$607$	11.3664			0.461349			0.230674	+	0.973031i	$0.425907\pi$
$608$	−7.92695	+	23.6768i	−0.321480	+	0.960222i
$609$	−1.62017	−	2.28613i	−0.0656525	−	0.0926388i
$610$	−15.8886	−	1.65653i	−0.643311	−	0.0670708i
$611$	10.9102	−	2.17017i	0.441379	−	0.0877958i
$612$	−22.3078	−	30.4288i	−0.901740	−	1.23001i
$613$	1.91745	+	2.86967i	0.0774453	+	0.115905i	0.868170	−	0.496267i	$-0.165296\pi$
$613$	1.91745	+	2.86967i	0.0774453	+	0.115905i	−0.790725	+	0.612172i	$0.790296\pi$
$614$	−10.4014	+	0.964524i	−0.419765	+	0.0389250i
$615$	−5.12288	−	22.5031i	−0.206574	−	0.907413i
$616$	0.274667	−	2.37161i	0.0110666	−	0.0955548i
$617$	−13.8035	+	5.71758i	−0.555706	+	0.230181i	−0.642820	−	0.766017i	$-0.722236\pi$
$617$	−13.8035	+	5.71758i	−0.555706	+	0.230181i	0.0871137	+	0.996198i	$0.472236\pi$
$618$	−4.22049	+	8.32727i	−0.169773	+	0.334972i
$619$	−6.75340	−	1.34333i	−0.271442	−	0.0539932i	0.0574924	−	0.998346i	$-0.481690\pi$
$619$	−6.75340	−	1.34333i	−0.271442	−	0.0539932i	−0.328934	+	0.944353i	$0.606690\pi$
$620$	−32.3041	+	12.9507i	−1.29736	+	0.520112i
$621$	−24.3879	−	7.81847i	−0.978655	−	0.313744i
$622$	−6.07157	−	3.29002i	−0.243448	−	0.131918i
$623$	−0.937177	+	0.937177i	−0.0375472	+	0.0375472i
$624$	2.43325	−	12.5374i	0.0974082	−	0.501898i
$625$	22.0677	+	22.0677i	0.882706	+	0.882706i
$626$	−13.0302	−	43.8546i	−0.520793	−	1.75278i
$627$	0.789196	+	28.7035i	0.0315175	+	1.14631i
$628$	−0.325600	+	28.5166i	−0.0129929	+	1.13794i
$629$	11.0436	−	55.5198i	0.440336	−	2.21372i
$630$	1.53381	−	2.06888i	0.0611084	−	0.0824261i
$631$	−1.24136	−	2.99691i	−0.0494179	−	0.119305i	0.897243	−	0.441538i	$-0.145567\pi$
$631$	−1.24136	−	2.99691i	−0.0494179	−	0.119305i	−0.946661	+	0.322232i	$0.895567\pi$
$632$	10.7923	−	33.5009i	0.429293	−	1.33259i
$633$	1.50975	+	6.63185i	0.0600074	+	0.263592i
$634$	−22.8141	−	18.9420i	−0.906062	−	0.752283i
$635$	13.1866	−	8.81102i	0.523295	−	0.349655i
$636$	7.20902	+	16.6425i	0.285856	+	0.659918i
$637$	−2.49922	−	12.5644i	−0.0990227	−	0.497821i
$638$	29.6951	−	24.0877i	1.17564	−	0.953643i
$639$	−2.72115	+	7.74866i	−0.107647	+	0.306532i
$640$	18.4276	+	24.3785i	0.728414	+	0.963646i
$641$		−	34.0351i		−	1.34431i	−0.740412	−	0.672153i	$-0.765370\pi$
$641$		−	34.0351i		−	1.34431i	0.740412	−	0.672153i	$-0.234630\pi$
$642$	−32.4288	−	9.07086i	−1.27986	−	0.357998i
$643$	8.02330	−	1.59593i	0.316408	−	0.0629374i	−0.0343316	−	0.999410i	$-0.510930\pi$
$643$	8.02330	−	1.59593i	0.316408	−	0.0629374i	0.350740	+	0.936473i	$0.385930\pi$
$644$	−0.456967	+	2.16768i	−0.0180070	+	0.0854187i
$645$	−2.63216	+	6.88391i	−0.103641	+	0.271054i
$646$	25.0744	−	30.2001i	0.986540	−	1.18821i
$647$	42.9113	+	17.7744i	1.68702	+	0.698785i	0.999622	−	0.0275003i	$-0.00875473\pi$
$647$	42.9113	+	17.7744i	1.68702	+	0.698785i	0.687394	+	0.726285i	$0.258755\pi$
$648$	21.2411	−	14.0291i	0.834430	−	0.551114i
$649$	31.1863	−	12.9178i	1.22417	−	0.507067i
$650$	5.71778	+	1.77018i	0.224270	+	0.0694320i
$651$	2.28958	−	1.02298i	0.0897359	−	0.0400937i
$652$	19.0208	+	0.217178i	0.744911	+	0.00850534i
$653$	−4.61269	+	6.90338i	−0.180509	+	0.270150i	−0.910679	−	0.413115i	$-0.864441\pi$
$653$	−4.61269	+	6.90338i	−0.180509	+	0.270150i	0.730170	+	0.683265i	$0.239441\pi$
$654$	−27.7632	−	21.7904i	−1.08563	−	0.852072i
$655$	−18.0359	+	18.0359i	−0.704721	+	0.704721i
$656$	−19.7269	−	0.450538i	−0.770204	−	0.0175906i
$657$	8.30555	+	17.2964i	0.324030	+	0.674796i
$658$	0.913738	−	1.68626i	0.0356212	−	0.0657372i
$659$	8.44152	−	12.6336i	0.328835	−	0.492136i	−0.629807	−	0.776752i	$-0.716866\pi$
$659$	8.44152	−	12.6336i	0.328835	−	0.492136i	0.958642	+	0.284615i	$0.0918659\pi$
$660$	29.5313	+	19.0530i	1.14950	+	0.741636i
$661$	3.84431	−	19.3267i	0.149526	−	0.751720i	−0.831145	−	0.556056i	$-0.812314\pi$
$661$	3.84431	−	19.3267i	0.149526	−	0.751720i	0.980671	−	0.195664i	$-0.0626861\pi$
$662$	−8.79307	+	4.63565i	−0.341752	+	0.180170i
$663$	−10.6915	+	16.9942i	−0.415223	+	0.659999i
$664$	2.89277	−	24.9776i	0.112261	−	0.969317i
$665$	2.47541	+	1.02535i	0.0959922	+	0.0397613i
$666$	37.0493	+	9.27330i	1.43563	+	0.359333i
$667$	−29.5001	+	19.7114i	−1.14225	+	0.763227i
$668$	−29.2210	−	20.0112i	−1.13060	−	0.774256i
$669$	27.4740	+	26.0037i	1.06221	+	1.00536i
$670$	3.25387	−	31.2096i	0.125708	−	1.20573i
$671$			15.7071i			0.606367i
$672$	−1.39510	−	1.70360i	−0.0538172	−	0.0657178i
$673$		−	3.92280i		−	0.151213i	−0.997138	−	0.0756064i	$-0.975911\pi$
$673$		−	3.92280i		−	0.151213i	0.997138	−	0.0756064i	$-0.0240893\pi$
$674$	−24.1420	−	2.51702i	−0.929916	−	0.0969519i
$675$	5.45794	+	10.6087i	0.210076	+	0.408329i
$676$	18.8764	−	3.53120i	0.726016	−	0.135816i
$677$	−11.1725	+	7.46522i	−0.429394	+	0.286912i	−0.751426	−	0.659817i	$-0.770634\pi$
$677$	−11.1725	+	7.46522i	−0.429394	+	0.286912i	0.322033	+	0.946728i	$0.395634\pi$
$678$	13.9445	+	16.2561i	0.535534	+	0.624314i
$679$	3.39479	+	1.40617i	0.130280	+	0.0539637i
$680$	−13.1566	−	46.2056i	−0.504531	−	1.77190i
$681$	22.5281	+	14.1730i	0.863279	+	0.543111i
$682$	15.9588	+	30.2712i	0.611094	+	1.15915i
$683$	−7.51550	+	37.7830i	−0.287573	+	1.44572i	0.519094	+	0.854717i	$0.326270\pi$
$683$	−7.51550	+	37.7830i	−0.287573	+	1.44572i	−0.806666	+	0.591007i	$0.798730\pi$
$684$	19.5241	+	17.8932i	0.746522	+	0.684164i
$685$	−10.5439	+	15.7801i	−0.402862	+	0.602926i
$686$	−3.89798	−	2.11221i	−0.148826	−	0.0806446i
$687$	−4.21343	+	24.7143i	−0.160752	+	0.942911i
$688$	5.15795	+	3.61947i	0.196645	+	0.137991i
$689$	6.82449	−	6.82449i	0.259992	−	0.259992i
$690$	−25.6527	−	20.1339i	−0.976580	−	0.766484i
$691$	18.6673	−	27.9376i	0.710137	−	1.06280i	−0.284430	−	0.958697i	$-0.591804\pi$
$691$	18.6673	−	27.9376i	0.710137	−	1.06280i	0.994567	−	0.104099i	$-0.0331958\pi$
$692$	4.05047	−	3.95902i	0.153976	−	0.150499i
$693$	−2.17964	−	1.28904i	−0.0827977	−	0.0489667i
$694$	−3.43093	+	11.0821i	−0.130236	+	0.420672i
$695$	−34.1017	+	14.1254i	−1.29355	+	0.535806i
$696$	3.09277	−	35.1293i	0.117231	−	1.33157i
$697$	28.6591	+	11.8710i	1.08554	+	0.449645i
$698$	−20.8589	−	17.3187i	−0.789521	−	0.655522i
$699$	−11.3002	−	4.32078i	−0.427412	−	0.163427i
$700$	0.864552	−	0.563505i	0.0326770	−	0.0212985i
$701$	12.3453	−	2.45562i	0.466274	−	0.0927476i	0.0436384	−	0.999047i	$-0.486105\pi$
$701$	12.3453	−	2.45562i	0.466274	−	0.0927476i	0.422635	+	0.906300i	$0.361105\pi$
$702$	−11.0994	−	7.76529i	−0.418918	−	0.293082i
$703$			39.7335i			1.49858i
$704$	21.9621	−	20.5068i	0.827726	−	0.772880i
$705$	16.3243	+	23.0343i	0.614807	+	0.867523i
$706$	2.13744	+	2.63501i	0.0804435	+	0.0991697i
$707$	−0.367191	−	1.84599i	−0.0138096	−	0.0694258i
$708$	11.4503	−	28.9507i	0.430327	−	1.08803i
$709$	−0.942734	+	0.629915i	−0.0354051	+	0.0236569i	−0.573147	−	0.819453i	$-0.694278\pi$
$709$	−0.942734	+	0.629915i	−0.0354051	+	0.0236569i	0.537742	+	0.843110i	$0.319278\pi$
$710$	−6.68002	+	8.04552i	−0.250697	+	0.301943i
$711$	−27.8078	−	24.9069i	−1.04288	−	0.934081i
$712$	−16.6258	+	1.35046i	−0.623079	+	0.0506105i
$713$	−12.1514	−	29.3360i	−0.455072	−	1.09864i
$714$	1.07676	+	3.28991i	0.0402968	+	0.123122i
$715$	3.64850	−	18.3423i	0.136446	−	0.685961i
$716$	−25.5796	+	25.0020i	−0.955953	+	0.934370i
$717$	−36.5141	+	1.00395i	−1.36365	+	0.0374931i
$718$	27.2395	−	8.09350i	1.01657	−	0.302047i
$719$	22.8751	+	22.8751i	0.853097	+	0.853097i	0.990513	−	0.137416i	$-0.0438798\pi$
$719$	22.8751	+	22.8751i	0.853097	+	0.853097i	−0.137416	+	0.990513i	$0.543880\pi$
$720$	31.5709	−	7.34186i	1.17658	−	0.273615i
$721$	0.605660	−	0.605660i	0.0225559	−	0.0225559i
$722$	−0.324853	+	0.599499i	−0.0120898	+	0.0223110i
$723$	−1.45258	−	52.8312i	−0.0540220	−	1.96481i
$724$	2.57394	−	6.01874i	0.0956597	−	0.223685i
$725$	16.2101	+	3.22439i	0.602029	+	0.119751i
$726$	3.44081	−	6.78892i	0.127700	−	0.251960i
$727$	30.7003	−	12.7165i	1.13861	−	0.471628i	0.267911	−	0.963444i	$-0.413667\pi$
$727$	30.7003	−	12.7165i	1.13861	−	0.471628i	0.870699	+	0.491815i	$0.163667\pi$
$728$	−0.569971	+	1.02377i	−0.0211245	+	0.0379435i
$729$	−4.43286	−	26.6336i	−0.164180	−	0.986430i
$730$	2.25585	+	24.3269i	0.0834927	+	0.900380i
$731$	−5.50348	−	8.23654i	−0.203554	−	0.304639i
$732$	10.4069	+	10.0776i	0.384649	+	0.372480i
$733$	−23.5980	+	4.69393i	−0.871610	+	0.173374i	−0.610578	−	0.791956i	$-0.709063\pi$
$733$	−23.5980	+	4.69393i	−0.871610	+	0.173374i	−0.261032	+	0.965330i	$0.584063\pi$
$734$	−2.78993	+	26.7597i	−0.102978	+	0.987717i
$735$	26.5269	−	18.7994i	0.978458	−	0.693426i
$736$	−22.0485	+	17.0654i	−0.812719	+	0.629038i
$737$	−30.8531			−1.13649
$738$	−8.94488	+	18.9212i	−0.329266	+	0.696497i
$739$	2.09191	+	10.5168i	0.0769523	+	0.386865i	0.999998	+	0.00217415i	$0.000692055\pi$
$739$	2.09191	+	10.5168i	0.0769523	+	0.386865i	−0.923045	+	0.384691i	$0.874308\pi$
$740$	40.1239	+	27.4777i	1.47498	+	1.01010i
$741$	5.03317	−	13.1633i	0.184898	−	0.483565i
$742$	−0.153645	−	1.65690i	−0.00564049	−	0.0608267i
$743$	6.77485	−	16.3559i	0.248545	−	0.600041i	−0.749536	−	0.661964i	$-0.769723\pi$
$743$	6.77485	−	16.3559i	0.248545	−	0.600041i	0.998081	+	0.0619227i	$0.0197232\pi$
$744$	30.2955	+	8.84831i	1.11069	+	0.324395i
$745$	−13.5665	−	32.7525i	−0.497039	−	1.19996i
$746$	0.496663	+	0.942088i	0.0181841	+	0.0344923i
$747$	−22.9558	−	13.5761i	−0.839908	−	0.496723i
$748$	−43.8452	+	17.5775i	−1.60314	+	0.642698i
$749$	2.56880	+	1.71642i	0.0938620	+	0.0627166i
$750$	−2.14090	−	17.7620i	−0.0781748	−	0.648578i
$751$	−14.3761	−	14.3761i	−0.524591	−	0.524591i	0.394364	−	0.918954i	$-0.370965\pi$
$751$	−14.3761	−	14.3761i	−0.524591	−	0.524591i	−0.918954	+	0.394364i	$0.870965\pi$
$752$	22.5058	−	8.72565i	0.820701	−	0.318192i
$753$	29.6112	+	5.04828i	1.07909	+	0.183969i
$754$	−17.9887	+	5.34487i	−0.655111	+	0.194649i
$755$	−29.6550	−	19.8149i	−1.07926	−	0.721137i
$756$	−2.25252	+	0.617091i	−0.0819232	+	0.0224434i
$757$	47.9560	+	9.53904i	1.74299	+	0.346702i	0.960992	−	0.276578i	$-0.0892003\pi$
$757$	47.9560	+	9.53904i	1.74299	+	0.346702i	0.781999	+	0.623280i	$0.214200\pi$
$758$	−15.5081	+	50.0920i	−0.563278	+	1.81942i
$759$	−17.0744	+	27.1398i	−0.619760	+	0.985113i
$760$	15.3845	+	30.0075i	0.558056	+	1.08849i
$761$	−1.03255	+	2.49280i	−0.0374300	+	0.0903641i	−0.941489	−	0.337043i	$-0.890573\pi$
$761$	−1.03255	+	2.49280i	−0.0374300	+	0.0903641i	0.904059	+	0.427408i	$0.140573\pi$
$762$	−14.3401	−	1.09766i	−0.519486	−	0.0397639i
$763$	1.79898	+	2.69237i	0.0651275	+	0.0974702i
$764$	4.00895	−	19.0170i	0.145039	−	0.688010i
$765$	−50.4481	−	7.17994i	−1.82395	−	0.259591i
$766$	−5.40094	−	6.65821i	−0.195144	−	0.240571i
$767$	−16.5670			−0.598199
$768$	0.503844	−	27.7082i	0.0181809	−	0.999835i
$769$	35.0025			1.26222			0.631111	−	0.775693i	$-0.282599\pi$
$769$	35.0025			1.26222			0.631111	+	0.775693i	$0.282599\pi$
$770$	−2.03127	−	2.50413i	−0.0732021	−	0.0902426i
$771$	−26.0002	+	27.4704i	−0.936376	+	0.989322i
$772$	5.41661	−	25.6944i	0.194948	−	0.924761i
$773$	−21.1773	−	31.6940i	−0.761694	−	1.13996i	−0.986212	−	0.165485i	$-0.947081\pi$
$773$	−21.1773	−	31.6940i	−0.761694	−	1.13996i	0.224519	−	0.974470i	$-0.427919\pi$
$774$	5.73195	−	3.43700i	0.206031	−	0.123540i
$775$	−5.66056	+	13.6658i	−0.203333	+	0.490890i
$776$	21.0984	+	41.1524i	0.757389	+	1.47729i
$777$	−2.96591	−	1.86593i	−0.106401	−	0.0669399i
$778$	1.51410	−	4.89062i	0.0542829	−	0.175337i
$779$	−21.3552	−	4.24781i	−0.765129	−	0.152194i
$780$	−9.81192	−	14.1857i	−0.351323	−	0.507929i
$781$	8.54919	+	5.71239i	0.305914	+	0.204405i
$782$	42.0162	−	12.4840i	1.50250	−	0.446427i
$783$	−32.7066	−	18.1484i	−1.16884	−	0.648571i
$784$	−10.0487	−	25.9182i	−0.358881	−	0.925649i
$785$	27.2347	+	27.2347i	0.972050	+	0.972050i
$786$	22.9643	−	2.76795i	0.819111	−	0.0987295i
$787$	3.91417	+	2.61536i	0.139525	+	0.0932276i	0.623374	−	0.781924i	$-0.285762\pi$
$787$	3.91417	+	2.61536i	0.139525	+	0.0932276i	−0.483849	+	0.875152i	$0.660762\pi$
$788$	13.6940	−	5.48993i	0.487830	−	0.195571i
$789$	−10.4296	−	23.3431i	−0.371305	−	0.831037i
$790$	−22.1680	−	42.0490i	−0.788701	−	1.49604i
$791$	−0.751976	−	1.81543i	−0.0267372	−	0.0645493i
$792$	−10.3989	−	30.1261i	−0.369509	−	1.07048i
$793$	2.95006	−	7.12208i	0.104760	−	0.252913i
$794$	1.81437	+	19.5661i	0.0643897	+	0.694375i
$795$	22.8793	+	8.74821i	0.811444	+	0.310267i
$796$	22.9054	+	15.6861i	0.811861	+	0.555980i
$797$	−6.71269	−	33.7469i	−0.237776	−	1.19538i	−0.896517	−	0.443009i	$-0.853911\pi$
$797$	−6.71269	−	33.7469i	−0.237776	−	1.19538i	0.658742	−	0.752369i	$-0.271089\pi$
$798$	−1.19178	−	2.11741i	−0.0421885	−	0.0749556i
$799$	−37.9471			−1.34247
$800$	12.8840	+	1.64143i	0.455518	+	0.0580334i
$801$	−5.86221	+	16.6930i	−0.207131	+	0.589818i
$802$	−4.01154	+	38.4767i	−0.141652	+	1.35866i
$803$	23.5605	−	4.68647i	0.831430	−	0.165382i
$804$	−19.7953	+	20.4419i	−0.698125	+	0.720932i
$805$	1.66222	+	2.48769i	0.0585856	+	0.0876796i
$806$	−1.55075	−	16.7232i	−0.0546229	−	0.589050i
$807$	38.1701	−	8.68950i	1.34365	−	0.305885i
$808$	11.5226	−	20.6968i	0.405365	−	0.728110i
$809$	−51.7697	+	21.4437i	−1.82013	+	0.753921i	−0.844130	+	0.536138i	$0.819883\pi$
$809$	−51.7697	+	21.4437i	−1.82013	+	0.753921i	−0.975997	+	0.217784i	$0.930117\pi$
$810$	6.50239	−	33.7590i	0.228471	−	1.18617i
$811$	7.49147	+	1.49015i	0.263061	+	0.0523261i	0.324859	−	0.945763i	$-0.394683\pi$
$811$	7.49147	+	1.49015i	0.263061	+	0.0523261i	−0.0617975	+	0.998089i	$0.519683\pi$
$812$	−1.27222	+	2.97488i	−0.0446462	+	0.104398i
$813$	−1.66705	+	0.0458350i	−0.0584659	+	0.00160750i
$814$	22.7807	−	42.0407i	0.798463	−	1.47352i
$815$	18.1658	−	18.1658i	0.636320	−	0.636320i
$816$	−16.4848	+	40.3277i	−0.577085	+	1.41175i
$817$	4.91662	+	4.91662i	0.172011	+	0.172011i
$818$	−22.3097	+	6.62875i	−0.780042	+	0.231769i
$819$	0.746211	+	0.993865i	0.0260747	+	0.0347284i
$820$	−19.0577	+	18.6274i	−0.665524	+	0.650498i
$821$	−0.780146	+	3.92206i	−0.0272273	+	0.136881i	−0.992008	−	0.126174i	$-0.959730\pi$
$821$	−0.780146	+	3.92206i	−0.0272273	+	0.136881i	0.964781	+	0.263055i	$0.0847301\pi$
$822$	16.3568	−	5.35345i	0.570509	−	0.186723i
$823$	1.40574	+	3.39375i	0.0490010	+	0.118299i	0.946485	−	0.322749i	$-0.104607\pi$
$823$	1.40574	+	3.39375i	0.0490010	+	0.118299i	−0.897484	+	0.441048i	$0.854607\pi$
$824$	10.7446	−	0.872746i	0.374306	−	0.0304036i
$825$	14.5640	−	3.31553i	0.507054	−	0.115432i
$826$	−1.82463	+	2.19762i	−0.0634871	+	0.0764649i
$827$	24.9397	−	16.6642i	0.867240	−	0.579471i	−0.0404176	−	0.999183i	$-0.512869\pi$
$827$	24.9397	−	16.6642i	0.867240	−	0.579471i	0.907657	+	0.419712i	$0.137869\pi$
$828$	7.02681	+	28.7256i	0.244199	+	0.998282i
$829$	−3.24515	−	16.3145i	−0.112709	−	0.566625i	−0.995329	−	0.0965390i	$-0.969223\pi$
$829$	−3.24515	−	16.3145i	−0.112709	−	0.566625i	0.882620	−	0.470086i	$-0.155777\pi$
$830$	−21.3932	−	26.3733i	−0.742569	−	0.915429i
$831$	21.9751	−	15.5736i	0.762308	−	0.540242i
$832$	−13.8098	+	5.17357i	−0.478768	+	0.179361i
$833$			43.7007i			1.51414i
$834$	32.2356	+	9.01681i	1.11623	+	0.312227i
$835$	−46.9126	+	9.33150i	−1.62348	+	0.322930i
$836$	27.7772	−	18.1048i	0.960693	−	0.626168i
$837$	21.6407	−	25.5403i	0.748013	−	0.882801i
$838$	19.0517	+	15.8182i	0.658130	+	0.546430i
$839$	−36.1705	−	14.9823i	−1.24874	−	0.517246i	−0.342307	−	0.939588i	$-0.611208\pi$
$839$	−36.1705	−	14.9823i	−1.24874	−	0.517246i	−0.906437	+	0.422342i	$0.861208\pi$
$840$	−2.96239	−	0.260807i	−0.102212	−	0.00899871i
$841$	−21.0812	+	8.73210i	−0.726937	+	0.301107i
$842$	−11.7142	+	37.8377i	−0.403699	+	1.30397i
$843$	−2.21465	−	4.95673i	−0.0762766	−	0.170719i
$844$	5.61647	−	5.48966i	0.193327	−	0.188962i
$845$	14.4092	−	21.5649i	0.495692	−	0.741855i
$846$	1.25166	−	25.5717i	0.0430328	−	0.879173i
$847$	−0.493772	+	0.493772i	−0.0169662	+	0.0169662i
$848$	12.0296	−	17.1429i	0.413099	−	0.588689i
$849$	−25.9484	−	4.42383i	−0.890548	−	0.151825i
$850$	−17.9522	−	9.72782i	−0.615755	−	0.333661i
$851$	−24.6499	+	36.8911i	−0.844986	+	1.26461i
$852$	9.26992	−	1.99928i	0.317582	−	0.0684941i
$853$	−6.90740	+	34.7258i	−0.236505	+	1.18899i	0.661821	+	0.749662i	$0.269784\pi$
$853$	−6.90740	+	34.7258i	−0.236505	+	1.18899i	−0.898326	+	0.439329i	$0.855216\pi$
$854$	−0.619837	−	1.17573i	−0.0212104	−	0.0402326i
$855$	35.7129	−	1.96532i	1.22136	−	0.0672125i
$856$	10.6482	+	37.3964i	0.363949	+	1.27818i
$857$	31.3906	+	13.0024i	1.07228	+	0.444154i	0.847796	−	0.530323i	$-0.177929\pi$
$857$	31.3906	+	13.0024i	1.07228	+	0.444154i	0.224487	+	0.974477i	$0.427929\pi$
$858$	−12.8724	+	11.0419i	−0.439457	+	0.376965i
$859$	−9.06812	+	6.05912i	−0.309400	+	0.206735i	−0.700570	−	0.713584i	$-0.747071\pi$
$859$	−9.06812	+	6.05912i	−0.309400	+	0.206735i	0.391169	+	0.920319i	$0.372071\pi$
$860$	8.36500	−	1.56484i	0.285244	−	0.0533605i
$861$	1.31994	−	1.39458i	0.0449836	−	0.0475271i
$862$	−17.5485	−	1.82958i	−0.597703	−	0.0623158i
$863$			38.2716i			1.30278i	0.758743	+	0.651390i	$0.225814\pi$
$863$			38.2716i			1.30278i	−0.758743	+	0.651390i	$0.774186\pi$
$864$	−26.6322	−	12.4389i	−0.906045	−	0.423182i
$865$		−	7.64946i		−	0.260089i
$866$	3.55180	−	34.0672i	0.120695	−	1.15765i
$867$	26.8403	−	28.3580i	0.911545	−	0.963087i
$868$	−2.38914	−	1.63613i	−0.0810926	−	0.0555340i
$869$	−38.8615	+	25.9664i	−1.31829	+	0.880850i
$870$	−31.0092	−	36.1499i	−1.05131	−	1.22560i
$871$	13.9897	+	5.79473i	0.474024	+	0.196347i
$872$	−4.68848	+	40.4826i	−0.158772	+	1.37091i
$873$	48.9769	−	2.69525i	1.65762	−	0.0912204i
$874$	−27.2155	+	14.3478i	−0.920578	+	0.485323i
$875$	−0.320225	+	1.60988i	−0.0108256	+	0.0544239i
$876$	12.0113	−	18.6170i	0.405823	−	0.629009i
$877$	−31.1713	+	46.6511i	−1.05258	+	1.57530i	−0.259921	+	0.965630i	$0.583696\pi$
$877$	−31.1713	+	46.6511i	−1.05258	+	1.57530i	−0.792658	+	0.609666i	$0.791304\pi$
$878$	15.5428	−	28.6835i	0.524545	−	0.968022i
$879$	1.61906	+	0.276025i	0.0546094	+	0.00931010i
$880$	0.926581	−	40.5704i	0.0312350	−	1.36763i
$881$	−10.8757	+	10.8757i	−0.366411	+	0.366411i	−0.866166	−	0.499756i	$-0.833423\pi$
$881$	−10.8757	+	10.8757i	−0.366411	+	0.366411i	0.499756	+	0.866166i	$0.333423\pi$
$882$	−29.4490	−	1.44143i	−0.991598	−	0.0485356i
$883$	−27.8748	+	41.7176i	−0.938062	+	1.40391i	−0.0233832	+	0.999727i	$0.507444\pi$
$883$	−27.8748	+	41.7176i	−0.938062	+	1.40391i	−0.914679	+	0.404182i	$0.867556\pi$
$884$	23.1821	+	0.264692i	0.779699	+	0.00890254i
$885$	−17.1521	−	38.3890i	−0.576561	−	1.29043i
$886$	1.01613	+	0.314585i	0.0341375	+	0.0105687i
$887$	−1.11945	+	0.463689i	−0.0375873	+	0.0155692i	−0.401398	−	0.915904i	$-0.631476\pi$
$887$	−1.11945	+	0.463689i	−0.0375873	+	0.0155692i	0.363811	+	0.931473i	$0.381476\pi$
$888$	−13.2383	−	42.0667i	−0.444248	−	1.41167i
$889$	1.21908	+	0.504958i	0.0408865	+	0.0169357i
$890$	−14.3908	+	17.3325i	−0.482381	+	0.580988i
$891$	−33.6775	−	2.91694i	−1.12824	−	0.0977213i
$892$	9.01029	−	42.7415i	0.301687	−	1.43109i
$893$	26.1237	−	5.19633i	0.874197	−	0.173889i
$894$	−8.66007	+	30.9602i	−0.289636	+	1.03547i
$895$			48.3079i			1.61476i
$896$	−0.834688	+	2.40167i	−0.0278850	+	0.0802343i
$897$	12.8393	−	9.09916i	0.428693	−	0.303812i
$898$	12.3075	−	9.98346i	0.410706	−	0.333152i
$899$	−9.04742	−	45.4845i	−0.301748	−	1.51699i
$900$	7.14750	−	11.7767i	0.238250	−	0.392557i
$901$	−27.3748	+	18.2913i	−0.911988	+	0.609371i
$902$	20.1598	+	16.7382i	0.671247	+	0.557321i
$903$	−0.597892	+	0.136111i	−0.0198966	+	0.00452950i
$904$	7.58321	−	23.5395i	0.252214	−	0.782912i
$905$	−3.38321	−	8.16780i	−0.112462	−	0.271507i
$906$	10.0606	+	30.7389i	0.334241	+	1.02123i
$907$	−5.34813	+	26.8869i	−0.177582	+	0.892763i	0.784527	+	0.620095i	$0.212906\pi$
$907$	−5.34813	+	26.8869i	−0.177582	+	0.892763i	−0.962108	+	0.272668i	$0.912094\pi$
$908$	0.350885	−	30.7311i	0.0116445	−	1.01985i
$909$	−15.0855	−	20.0922i	−0.500356	−	0.666415i
$910$	0.450723	+	1.51696i	0.0149413	+	0.0502866i
$911$	0.887056	+	0.887056i	0.0293895	+	0.0293895i	0.721649	−	0.692259i	$-0.243385\pi$
$911$	0.887056	+	0.887056i	0.0293895	+	0.0293895i	−0.692259	+	0.721649i	$0.743385\pi$
$912$	5.82627	−	30.0200i	0.192927	−	0.994060i
$913$	−23.6104	+	23.6104i	−0.781391	+	0.781391i
$914$	10.1691	+	5.51037i	0.336364	+	0.182267i
$915$	19.5576	−	0.537730i	0.646553	−	0.0177768i
$916$	26.8705	−	10.7724i	0.887827	−	0.355929i
$917$	−2.08140	−	0.414016i	−0.0687338	−	0.0136720i
$918$	31.9678	+	33.3675i	1.05509	+	1.10129i
$919$	−28.5724	+	11.8351i	−0.942517	+	0.390403i	−0.800413	−	0.599448i	$-0.795387\pi$
$919$	−28.5724	+	11.8351i	−0.942517	+	0.390403i	−0.142104	+	0.989852i	$0.545387\pi$
$920$	−4.33206	+	37.4051i	−0.142824	+	1.23321i
$921$	12.4745	−	2.83985i	0.411049	−	0.0935762i
$922$	−39.0725	+	3.62321i	−1.28678	+	0.119324i
$923$	−2.80358	−	4.19585i	−0.0922809	−	0.138108i
$924$	0.0469883	+	2.92365i	0.00154580	+	0.0961811i
$925$	20.2714	−	4.03223i	0.666520	−	0.132579i
$926$	14.3557	+	1.49671i	0.471757	+	0.0491848i
$927$	3.78851	−	10.7880i	0.124431	−	0.354325i
$928$	−36.4457	+	18.1629i	−1.19639	+	0.596226i
$929$	−6.51999			−0.213914			−0.106957	−	0.994264i	$-0.534111\pi$
$929$	−6.51999			−0.213914			−0.106957	+	0.994264i	$0.534111\pi$
$930$	37.1456	−	20.9073i	1.21805	−	0.685577i
$931$	−5.98422	−	30.0847i	−0.196125	−	0.985986i
$932$	2.56873	+	13.7314i	0.0841416	+	0.449788i
$933$	7.89988	+	3.02063i	0.258631	+	0.0988911i
$934$	5.67547	−	0.526289i	0.185707	−	0.0172207i
$935$	−24.4140	+	58.9405i	−0.798422	+	1.92756i
$936$	−0.943014	+	15.6132i	−0.0308234	+	0.510333i
$937$	−11.7888	−	28.4606i	−0.385122	−	0.929767i	−0.990957	−	0.134177i	$-0.957161\pi$
$937$	−11.7888	−	28.4606i	−0.385122	−	0.929767i	0.605835	−	0.795590i	$-0.292839\pi$
$938$	2.30946	−	1.21753i	0.0754064	−	0.0397538i
$939$	22.8570	+	51.1574i	0.745909	+	1.66946i
$940$	12.8185	−	29.9739i	0.418092	−	0.977641i
$941$	25.9536	+	17.3417i	0.846064	+	0.565322i	0.901322	−	0.433150i	$-0.142598\pi$
$941$	25.9536	+	17.3417i	0.846064	+	0.565322i	−0.0552578	+	0.998472i	$0.517598\pi$
$942$	−4.17969	−	34.6768i	−0.136182	−	1.12983i
$943$	−17.1923	−	17.1923i	−0.559857	−	0.559857i
$944$	−35.4092	+	6.20643i	−1.15247	+	0.202002i
$945$	−1.53042	+	2.75809i	−0.0497846	+	0.0897207i
$946$	−2.38322	−	8.02098i	−0.0774852	−	0.260785i
$947$	24.8159	+	16.5814i	0.806408	+	0.538824i	0.889080	−	0.457752i	$-0.151345\pi$
$947$	24.8159	+	16.5814i	0.806408	+	0.538824i	−0.0826720	+	0.996577i	$0.526345\pi$
$948$	−7.72918	+	42.4079i	−0.251032	+	1.37735i
$949$	−11.5632	−	2.30007i	−0.375358	−	0.0746634i
$950$	13.6908	+	4.23857i	0.444189	+	0.137517i
$951$	30.7396	+	19.3391i	0.996799	+	0.627112i
$952$	2.58831	−	3.04597i	0.0838877	−	0.0987203i
$953$	1.96929	−	4.75430i	0.0637917	−	0.154007i	−0.888769	−	0.458355i	$-0.848439\pi$
$953$	1.96929	−	4.75430i	0.0637917	−	0.154007i	0.952561	+	0.304348i	$0.0984387\pi$
$954$	−11.4231	−	19.0506i	−0.369838	−	0.616786i
$955$	−14.5826	−	21.8244i	−0.471881	−	0.706220i
$956$	23.0314	+	35.3357i	0.744888	+	1.14284i
$957$	−32.1910	+	34.0112i	−1.04059	+	1.09943i
$958$	−8.38692	+	6.80322i	−0.270969	+	0.219802i
$959$	−1.57903			−0.0509896
$960$	−26.2857	−	26.6438i	−0.848369	−	0.859925i
$961$	10.5047			0.338860
$962$	−18.2254	+	14.7839i	−0.587611	+	0.476652i
$963$	40.8301	+	5.81107i	1.31573	+	0.187259i
$964$	−51.1261	+	33.3234i	−1.64666	+	1.07327i
$965$	−19.7029	−	29.4875i	−0.634260	−	0.949237i
$966$	0.207076	−	2.70530i	0.00666256	−	0.0870415i
$967$	−8.73678	+	21.0925i	−0.280956	+	0.678287i	−0.999858	−	0.0168233i	$-0.994645\pi$
$967$	−8.73678	+	21.0925i	−0.280956	+	0.678287i	0.718903	+	0.695111i	$0.244645\pi$
$968$	−8.75967	+	0.711518i	−0.281547	+	0.0228691i
$969$	−25.6000	+	40.6914i	−0.822392	+	1.30720i
$970$	59.6635	+	18.4713i	1.91568	+	0.593078i
$971$	−4.59135	−	0.913277i	−0.147344	−	0.0293085i	0.120867	−	0.992669i	$-0.461432\pi$
$971$	−4.59135	−	0.913277i	−0.147344	−	0.0293085i	−0.268211	+	0.963360i	$0.586432\pi$
$972$	−23.5400	+	20.4418i	−0.755047	+	0.655670i
$973$	−2.55350	−	1.70619i	−0.0818613	−	0.0546980i
$974$	4.83465	+	16.2715i	0.154912	+	0.521374i
$975$	−7.22648	−	1.23201i	−0.231432	−	0.0394558i
$976$	3.63716	−	16.3275i	0.116423	−	0.522630i
$977$	2.06409	+	2.06409i	0.0660360	+	0.0660360i	0.739353	−	0.673317i	$-0.235131\pi$
$977$	2.06409	+	2.06409i	0.0660360	+	0.0660360i	−0.673317	+	0.739353i	$0.735131\pi$
$978$	−23.1297	+	2.78788i	−0.739607	+	0.0891467i
$979$	18.4176	+	12.3062i	0.588629	+	0.393309i
$980$	−34.5186	−	14.7620i	−1.10266	−	0.471556i
$981$	37.2058	+	22.0036i	1.18789	+	0.702520i
$982$	22.0894	−	11.6454i	0.704900	−	0.371619i
$983$	12.7549	+	30.7931i	0.406818	+	0.982146i	0.985969	+	0.166926i	$0.0533841\pi$
$983$	12.7549	+	30.7931i	0.406818	+	0.982146i	−0.579151	+	0.815220i	$0.696616\pi$
$984$	24.0245	−	2.61782i	0.765872	−	0.0834530i
$985$	7.62513	−	18.4087i	0.242957	−	0.586549i
$986$	63.7429	−	5.91091i	2.02999	−	0.188242i
$987$	−0.838920	+	2.19404i	−0.0267031	+	0.0698369i
$988$	−15.9954	+	2.99225i	−0.508881	+	0.0951962i
$989$	1.51473	+	7.61507i	0.0481657	+	0.242145i
$990$	−38.9134	−	18.3961i	−1.23675	−	0.584667i
$991$	49.3048			1.56622			0.783109	−	0.621885i	$-0.213633\pi$
$991$	49.3048			1.56622			0.783109	+	0.621885i	$0.213633\pi$
$992$	−9.57946	−	35.1622i	−0.304148	−	1.11640i
$993$	9.93275	−	7.03927i	0.315206	−	0.223385i
$994$	−0.865359	−	0.0902213i	−0.0274475	−	0.00286164i
$995$	36.7733	−	7.31466i	1.16579	−	0.231890i
$996$	0.494876	+	30.7916i	0.0156807	+	0.975670i
$997$	0.00817348	+	0.0122325i	0.000258857	+	0.000387407i	0.831599	−	0.555377i	$-0.187426\pi$
$997$	0.00817348	+	0.0122325i	0.000258857	+	0.000387407i	−0.831340	+	0.555764i	$0.812426\pi$
$998$	38.4492	−	3.56542i	1.21709	−	0.112861i
$999$	−46.4727	−	5.31559i	−1.47033	−	0.168178i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	192.2.s.a.107.22	yes	240
3.2	odd	2	inner	192.2.s.a.107.9	✓	240
4.3	odd	2		768.2.s.a.335.23		240
12.11	even	2		768.2.s.a.335.20		240
64.3	odd	16	inner	192.2.s.a.131.9	yes	240
64.61	even	16		768.2.s.a.431.20		240
192.125	odd	16		768.2.s.a.431.23		240
192.131	even	16	inner	192.2.s.a.131.22	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
192.2.s.a.107.9	✓	240	3.2	odd	2	inner
192.2.s.a.107.22	yes	240	1.1	even	1	trivial
192.2.s.a.131.9	yes	240	64.3	odd	16	inner
192.2.s.a.131.22	yes	240	192.131	even	16	inner
768.2.s.a.335.20		240	12.11	even	2
768.2.s.a.335.23		240	4.3	odd	2
768.2.s.a.431.20		240	64.61	even	16
768.2.s.a.431.23		240	192.125	odd	16

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:	\( N \)	\(=\)	\( 192 = 2^{6} \cdot 3 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	192.s (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.890912 + 1.09831i) q^{2} +(-1.25794 - 1.19062i) q^{3} +(-0.412551 + 1.95699i) q^{4} +(1.50066 + 2.24589i) q^{5} +(0.186948 - 2.44235i) q^{6} +(-0.0860024 + 0.207628i) q^{7} +(-2.51692 + 1.29040i) q^{8} +(0.164844 + 2.99547i) q^{9} +O(q^{10})\)	\(q+(0.890912 + 1.09831i) q^{2} +(-1.25794 - 1.19062i) q^{3} +(-0.412551 + 1.95699i) q^{4} +(1.50066 + 2.24589i) q^{5} +(0.186948 - 2.44235i) q^{6} +(-0.0860024 + 0.207628i) q^{7} +(-2.51692 + 1.29040i) q^{8} +(0.164844 + 2.99547i) q^{9} +(-1.12972 + 3.64907i) q^{10} +(3.68379 + 0.732751i) q^{11} +(2.84900 - 1.97059i) q^{12} +(-1.53272 - 1.02413i) q^{13} +(-0.304660 + 0.0905215i) q^{14} +(0.786264 - 4.61192i) q^{15} +(-3.65960 - 1.61471i) q^{16} +(4.44652 + 4.44652i) q^{17} +(-3.14308 + 2.84975i) q^{18} +(-3.66999 - 2.45221i) q^{19} +(-5.01428 + 2.01022i) q^{20} +(0.355392 - 0.158788i) q^{21} +(2.47715 + 4.69874i) q^{22} +(-1.88615 - 4.55357i) q^{23} +(4.70251 + 1.37345i) q^{24} +(-0.878641 + 2.12123i) q^{25} +(-0.240710 - 2.59580i) q^{26} +(3.35910 - 3.96440i) q^{27} +(-0.370845 - 0.253963i) q^{28} +(-1.40435 - 7.06016i) q^{29} +(5.76579 - 3.24526i) q^{30} +6.44241 q^{31} +(-1.48694 - 5.45793i) q^{32} +(-3.76157 - 5.30775i) q^{33} +(-0.922180 + 8.84510i) q^{34} +(-0.595370 + 0.118426i) q^{35} +(-5.93010 - 0.913185i) q^{36} +(-5.00124 - 7.48488i) q^{37} +(-0.576364 - 6.21547i) q^{38} +(0.708723 + 3.11318i) q^{39} +(-6.67512 - 3.71628i) q^{40} +(4.55750 - 1.88778i) q^{41} +(0.491021 + 0.248863i) q^{42} +(-1.54503 - 0.307325i) q^{43} +(-2.95373 + 6.90683i) q^{44} +(-6.48012 + 4.86539i) q^{45} +(3.32082 - 6.12841i) q^{46} +(-4.26705 + 4.26705i) q^{47} +(2.68106 + 6.38842i) q^{48} +(4.91403 + 4.91403i) q^{49} +(-3.11255 + 0.924810i) q^{50} +(-0.299352 - 10.8876i) q^{51} +(2.63653 - 2.57700i) q^{52} +(-1.02142 + 5.13504i) q^{53} +(7.34678 + 0.157393i) q^{54} +(3.88242 + 9.37299i) q^{55} +(-0.0514619 - 0.633560i) q^{56} +(1.69699 + 7.45431i) q^{57} +(6.50306 - 7.83239i) q^{58} +(7.47264 - 4.99306i) q^{59} +(8.70109 + 3.44136i) q^{60} +(0.815852 + 4.10157i) q^{61} +(5.73962 + 7.07574i) q^{62} +(-0.636120 - 0.223391i) q^{63} +(4.66975 - 6.49565i) q^{64} -4.97918i q^{65} +(2.47831 - 8.86009i) q^{66} +(-8.05661 + 1.60256i) q^{67} +(-10.5362 + 6.86737i) q^{68} +(-3.04891 + 7.97383i) q^{69} +(-0.660491 - 0.548391i) q^{70} +(2.52914 + 1.04761i) q^{71} +(-4.28024 - 7.32663i) q^{72} +(5.90887 - 2.44753i) q^{73} +(3.76502 - 12.1613i) q^{74} +(3.63086 - 1.62225i) q^{75} +(6.31300 - 6.17046i) q^{76} +(-0.468954 + 0.701839i) q^{77} +(-2.78782 + 3.55197i) q^{78} +(-8.79908 + 8.79908i) q^{79} +(-1.86534 - 10.6422i) q^{80} +(-8.94565 + 0.987568i) q^{81} +(6.13369 + 3.32368i) q^{82} +(-4.93898 + 7.39171i) q^{83} +(0.164129 + 0.761007i) q^{84} +(-3.31370 + 16.6591i) q^{85} +(-1.03895 - 1.97071i) q^{86} +(-6.63938 + 10.5533i) q^{87} +(-10.2173 + 2.90928i) q^{88} +(5.44855 + 2.25687i) q^{89} +(-11.1169 - 2.78252i) q^{90} +(0.344455 - 0.230158i) q^{91} +(9.68942 - 1.81260i) q^{92} +(-8.10419 - 7.67047i) q^{93} +(-8.48809 - 0.884959i) q^{94} -11.9223i q^{95} +(-4.62785 + 8.63615i) q^{96} -16.3503i q^{97} +(-1.01914 + 9.77509i) q^{98} +(-1.58768 + 11.1555i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9}+O(q^{10}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28} - 88 q^{30} - 32 q^{31} - 16 q^{34} - 88 q^{36} - 16 q^{37} - 8 q^{39} - 16 q^{40} - 48 q^{42} - 16 q^{43} - 8 q^{45} - 16 q^{46} - 8 q^{48} - 16 q^{49} - 8 q^{51} + 32 q^{52} - 8 q^{54} - 80 q^{55} - 8 q^{57} + 128 q^{58} - 8 q^{60} - 16 q^{61} + 80 q^{64} - 24 q^{66} - 144 q^{67} - 8 q^{69} + 80 q^{70} - 8 q^{72} - 16 q^{73} - 8 q^{75} + 96 q^{76} + 16 q^{78} - 48 q^{79} - 8 q^{81} + 64 q^{82} + 104 q^{84} - 16 q^{85} - 8 q^{87} + 64 q^{88} + 136 q^{90} - 16 q^{91} - 32 q^{93} + 80 q^{94} + 128 q^{96} - 8 q^{99}+O(q^{100}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

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