LMFDB - Embedded newform 115.2.j.a.29.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [115,2,Mod(4,115)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(115, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 4]))

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

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

chi := DirichletCharacter("115.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 115 = 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	115.j (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:	$0.918279623245$
Analytic rank:	$0$
Dimension:	$100$
Relative dimension:	$10$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			29.8
Character	$\chi$	$=$	115.29
Dual form			115.2.j.a.4.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.49755 + 0.683908i) q^{2} +(-0.900592 + 3.06714i) q^{3} +(0.465201 + 0.536871i) q^{4} +(1.43463 - 1.71518i) q^{5} +(-3.44632 + 3.97726i) q^{6} +(-0.632042 - 0.0908739i) q^{7} +(-0.598154 - 2.03713i) q^{8} +(-6.07249 - 3.90255i) q^{9} +O(q^{10})$	\(q+(1.49755 + 0.683908i) q^{2} +(-0.900592 + 3.06714i) q^{3} +(0.465201 + 0.536871i) q^{4} +(1.43463 - 1.71518i) q^{5} +(-3.44632 + 3.97726i) q^{6} +(-0.632042 - 0.0908739i) q^{7} +(-0.598154 - 2.03713i) q^{8} +(-6.07249 - 3.90255i) q^{9} +(3.32145 - 1.58741i) q^{10} +(1.69819 + 3.71852i) q^{11} +(-2.06561 + 0.943334i) q^{12} +(3.19357 - 0.459166i) q^{13} +(-0.884364 - 0.568346i) q^{14} +(3.96867 + 5.94488i) q^{15} +(0.699637 - 4.86608i) q^{16} +(-0.965240 - 0.836385i) q^{17} +(-6.42487 - 9.99729i) q^{18} +(0.307596 + 0.354985i) q^{19} +(1.58822 - 0.0276922i) q^{20} +(0.847934 - 1.85672i) q^{21} +6.73007i q^{22} +(-3.19949 - 3.57257i) q^{23} +6.78684 q^{24} +(-0.883674 - 4.92129i) q^{25} +(5.09656 + 1.49648i) q^{26} +(10.1910 - 8.83052i) q^{27} +(-0.245239 - 0.381599i) q^{28} +(-2.61894 + 3.02242i) q^{29} +(1.87753 + 11.6170i) q^{30} +(-4.96368 + 1.45747i) q^{31} +(2.07999 - 3.23653i) q^{32} +(-12.9346 + 1.85971i) q^{33} +(-0.873484 - 1.91266i) q^{34} +(-1.06261 + 0.953694i) q^{35} +(-0.729764 - 5.07562i) q^{36} +(-5.16825 + 8.04195i) q^{37} +(0.217863 + 0.741974i) q^{38} +(-1.46778 + 10.2086i) q^{39} +(-4.35217 - 1.89658i) q^{40} +(7.36949 - 4.73608i) q^{41} +(2.53965 - 2.20062i) q^{42} +(-0.206862 + 0.704508i) q^{43} +(-1.20636 + 2.64157i) q^{44} +(-15.4054 + 4.81669i) q^{45} +(-2.34808 - 7.53826i) q^{46} -0.589562i q^{47} +(14.2948 + 6.52824i) q^{48} +(-6.32523 - 1.85726i) q^{49} +(2.04236 - 7.97423i) q^{50} +(3.43459 - 2.20728i) q^{51} +(1.73217 + 1.50093i) q^{52} +(6.64695 + 0.955686i) q^{53} +(21.3007 - 6.25446i) q^{54} +(8.81420 + 2.42200i) q^{55} +(0.192937 + 1.34191i) q^{56} +(-1.36581 + 0.623742i) q^{57} +(-5.98905 + 2.73511i) q^{58} +(-0.734852 - 5.11101i) q^{59} +(-1.34540 + 4.89623i) q^{60} +(-2.44333 + 0.717427i) q^{61} +(-8.43012 - 1.21207i) q^{62} +(3.48343 + 3.01841i) q^{63} +(-2.94303 + 1.89137i) q^{64} +(3.79404 - 6.13628i) q^{65} +(-20.6420 - 6.06105i) q^{66} +(-2.18587 - 0.998254i) q^{67} -0.907297i q^{68} +(13.8390 - 6.59584i) q^{69} +(-2.24355 + 0.701475i) q^{70} +(-3.46453 + 7.58626i) q^{71} +(-4.31771 + 14.7048i) q^{72} +(-0.557471 + 0.483051i) q^{73} +(-13.2397 + 8.50861i) q^{74} +(15.8901 + 1.72173i) q^{75} +(-0.0474869 + 0.330279i) q^{76} +(-0.735411 - 2.50458i) q^{77} +(-9.17984 + 14.2841i) q^{78} +(2.33484 + 16.2392i) q^{79} +(-7.34248 - 8.18103i) q^{80} +(8.91062 + 19.5115i) q^{81} +(14.2752 - 2.05247i) q^{82} +(5.64215 - 8.77936i) q^{83} +(1.39128 - 0.408516i) q^{84} +(-2.81931 + 0.455656i) q^{85} +(-0.791605 + 0.913560i) q^{86} +(-6.91157 - 10.7546i) q^{87} +(6.55931 - 5.68368i) q^{88} +(5.75334 + 1.68933i) q^{89} +(-26.3644 - 3.32261i) q^{90} -2.06020 q^{91} +(0.429603 - 3.37968i) q^{92} -16.5368i q^{93} +(0.403206 - 0.882897i) q^{94} +(1.05015 - 0.0183104i) q^{95} +(8.05365 + 9.29441i) q^{96} +(3.48701 + 5.42589i) q^{97} +(-8.20215 - 7.10721i) q^{98} +(4.19947 - 29.2080i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 100 q - 14 q^{4} - 9 q^{5} - 18 q^{6} - 12 q^{9}+O(q^{10}) $ 100 * q - 14 * q^4 - 9 * q^5 - 18 * q^6 - 12 * q^9	$ 100 q - 14 q^{4} - 9 q^{5} - 18 q^{6} - 12 q^{9} - 13 q^{10} - 26 q^{11} - 26 q^{14} - 10 q^{15} - 18 q^{16} - 14 q^{19} + 49 q^{20} - 22 q^{21} - 68 q^{24} + 21 q^{25} - 42 q^{26} - 24 q^{29} + 19 q^{30} - 12 q^{31} + 8 q^{34} - 37 q^{35} - 10 q^{36} + 14 q^{39} - q^{40} + 8 q^{41} + 166 q^{44} - 42 q^{45} - 18 q^{46} + 32 q^{49} - 23 q^{50} - 22 q^{51} + 116 q^{54} + 27 q^{55} - 116 q^{56} + 50 q^{59} + 123 q^{60} - 38 q^{61} + 10 q^{64} + 76 q^{65} - 28 q^{66} + 80 q^{69} + 102 q^{70} - 110 q^{71} + 22 q^{74} + 6 q^{75} + 4 q^{76} + 42 q^{79} + 18 q^{80} + 204 q^{81} + 56 q^{84} - 121 q^{85} + 132 q^{86} - 66 q^{89} - 198 q^{90} + 76 q^{91} - 70 q^{94} - 74 q^{95} + 236 q^{96} - 60 q^{99}+O(q^{100}) $ 100 * q - 14 * q^4 - 9 * q^5 - 18 * q^6 - 12 * q^9 - 13 * q^10 - 26 * q^11 - 26 * q^14 - 10 * q^15 - 18 * q^16 - 14 * q^19 + 49 * q^20 - 22 * q^21 - 68 * q^24 + 21 * q^25 - 42 * q^26 - 24 * q^29 + 19 * q^30 - 12 * q^31 + 8 * q^34 - 37 * q^35 - 10 * q^36 + 14 * q^39 - q^40 + 8 * q^41 + 166 * q^44 - 42 * q^45 - 18 * q^46 + 32 * q^49 - 23 * q^50 - 22 * q^51 + 116 * q^54 + 27 * q^55 - 116 * q^56 + 50 * q^59 + 123 * q^60 - 38 * q^61 + 10 * q^64 + 76 * q^65 - 28 * q^66 + 80 * q^69 + 102 * q^70 - 110 * q^71 + 22 * q^74 + 6 * q^75 + 4 * q^76 + 42 * q^79 + 18 * q^80 + 204 * q^81 + 56 * q^84 - 121 * q^85 + 132 * q^86 - 66 * q^89 - 198 * q^90 + 76 * q^91 - 70 * q^94 - 74 * q^95 + 236 * q^96 - 60 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/115\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$-1$	$e\left(\frac{9}{11}\right)$

Coefficient data

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

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

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

$2$	1.49755	+	0.683908i	1.05893	+	0.483596i	0.867255	−	0.497863i	$-0.165882\pi$
$2$	1.49755	+	0.683908i	1.05893	+	0.483596i	0.191671	+	0.981459i	$0.438609\pi$
$3$	−0.900592	+	3.06714i	−0.519957	+	1.77081i	0.109729	+	0.993962i	$0.465002\pi$
$3$	−0.900592	+	3.06714i	−0.519957	+	1.77081i	−0.629686	+	0.776850i	$0.716816\pi$
$4$	0.465201	+	0.536871i	0.232601	+	0.268436i
$5$	1.43463	−	1.71518i	0.641586	−	0.767051i
$5$	1.43463	−	1.71518i	0.641586	−	0.767051i
$6$	−3.44632	+	3.97726i	−1.40695	+	1.62371i
$7$	−0.632042	−	0.0908739i	−0.238889	−	0.0343471i	0.0218302	−	0.999762i	$-0.493051\pi$
$7$	−0.632042	−	0.0908739i	−0.238889	−	0.0343471i	−0.260719	+	0.965415i	$0.583960\pi$
$8$	−0.598154	−	2.03713i	−0.211480	−	0.720233i
$9$	−6.07249	−	3.90255i	−2.02416	−	1.30085i
$10$	3.32145	−	1.58741i	1.05034	−	0.501983i
$11$	1.69819	+	3.71852i	0.512024	+	1.12118i	0.972372	+	0.233437i	$0.0749973\pi$
$11$	1.69819	+	3.71852i	0.512024	+	1.12118i	−0.460348	+	0.887738i	$0.652275\pi$
$12$	−2.06561	+	0.943334i	−0.596291	+	0.272317i
$13$	3.19357	−	0.459166i	0.885738	−	0.127350i	0.315593	−	0.948895i	$-0.397796\pi$
$13$	3.19357	−	0.459166i	0.885738	−	0.127350i	0.570144	+	0.821545i	$0.306887\pi$
$14$	−0.884364	−	0.568346i	−0.236356	−	0.151897i
$15$	3.96867	+	5.94488i	1.02471	+	1.53496i
$16$	0.699637	−	4.86608i	0.174909	−	1.21652i
$17$	−0.965240	−	0.836385i	−0.234105	−	0.202853i	0.529906	−	0.848056i	$-0.322227\pi$
$17$	−0.965240	−	0.836385i	−0.234105	−	0.202853i	−0.764011	+	0.645203i	$0.776773\pi$
$18$	−6.42487	−	9.99729i	−1.51436	−	2.35638i
$19$	0.307596	+	0.354985i	0.0705674	+	0.0814391i	0.789935	−	0.613190i	$-0.210114\pi$
$19$	0.307596	+	0.354985i	0.0705674	+	0.0814391i	−0.719368	+	0.694629i	$0.755569\pi$
$20$	1.58822	−	0.0276922i	0.355137	−	0.00619216i
$21$	0.847934	−	1.85672i	0.185034	−	0.405169i
$22$			6.73007i			1.43486i
$23$	−3.19949	−	3.57257i	−0.667140	−	0.744933i
$23$	−3.19949	−	3.57257i	−0.667140	−	0.744933i
$24$	6.78684			1.38536
$25$	−0.883674	−	4.92129i	−0.176735	−	0.984258i
$26$	5.09656	+	1.49648i	0.999517	+	0.293485i
$27$	10.1910	−	8.83052i	1.96125	−	1.69943i
$28$	−0.245239	−	0.381599i	−0.0463458	−	0.0721155i
$29$	−2.61894	+	3.02242i	−0.486325	+	0.561249i	−0.944880	−	0.327417i	$-0.893822\pi$
$29$	−2.61894	+	3.02242i	−0.486325	+	0.561249i	0.458555	+	0.888666i	$0.348367\pi$
$30$	1.87753	+	11.6170i	0.342788	+	2.12096i
$31$	−4.96368	+	1.45747i	−0.891503	+	0.261769i	−0.695236	−	0.718782i	$-0.744700\pi$
$31$	−4.96368	+	1.45747i	−0.891503	+	0.261769i	−0.196267	+	0.980551i	$0.562882\pi$
$32$	2.07999	−	3.23653i	0.367694	−	0.572143i
$33$	−12.9346	+	1.85971i	−2.25162	+	0.323734i
$34$	−0.873484	−	1.91266i	−0.149801	−	0.328019i
$35$	−1.06261	+	0.953694i	−0.179614	+	0.161204i
$36$	−0.729764	−	5.07562i	−0.121627	−	0.845936i
$37$	−5.16825	+	8.04195i	−0.849655	+	1.32209i	0.0954879	+	0.995431i	$0.469559\pi$
$37$	−5.16825	+	8.04195i	−0.849655	+	1.32209i	−0.945143	+	0.326658i	$0.894077\pi$
$38$	0.217863	+	0.741974i	0.0353421	+	0.120364i
$39$	−1.46778	+	10.2086i	−0.235033	+	1.63469i
$40$	−4.35217	−	1.89658i	−0.688138	−	0.299876i
$41$	7.36949	−	4.73608i	1.15092	−	0.739652i	0.181099	−	0.983465i	$-0.442035\pi$
$41$	7.36949	−	4.73608i	1.15092	−	0.739652i	0.969822	+	0.243813i	$0.0783983\pi$
$42$	2.53965	−	2.20062i	0.391876	−	0.339562i
$43$	−0.206862	+	0.704508i	−0.0315462	+	0.107436i	−0.973761	−	0.227572i	$-0.926921\pi$
$43$	−0.206862	+	0.704508i	−0.0315462	+	0.107436i	0.942215	+	0.335009i	$0.108739\pi$
$44$	−1.20636	+	2.64157i	−0.181866	+	0.398232i
$45$	−15.4054	+	4.81669i	−2.29649	+	0.718029i
$46$	−2.34808	−	7.53826i	−0.346206	−	1.11146i
$47$		−	0.589562i		−	0.0859964i	−0.999075	−	0.0429982i	$-0.986309\pi$
$47$		−	0.589562i		−	0.0859964i	0.999075	−	0.0429982i	$-0.0136910\pi$
$48$	14.2948	+	6.52824i	2.06328	+	0.942270i
$49$	−6.32523	−	1.85726i	−0.903605	−	0.265322i
$50$	2.04236	−	7.97423i	0.288834	−	1.12773i
$51$	3.43459	−	2.20728i	0.480939	−	0.309081i
$52$	1.73217	+	1.50093i	0.240208	+	0.208142i
$53$	6.64695	+	0.955686i	0.913028	+	0.131274i	0.582789	−	0.812624i	$-0.301961\pi$
$53$	6.64695	+	0.955686i	0.913028	+	0.131274i	0.330239	+	0.943897i	$0.392871\pi$
$54$	21.3007	−	6.25446i	2.89866	−	0.851124i
$55$	8.81420	+	2.42200i	1.18851	+	0.326582i
$56$	0.192937	+	1.34191i	0.0257823	+	0.179320i
$57$	−1.36581	+	0.623742i	−0.180905	+	0.0826167i
$58$	−5.98905	+	2.73511i	−0.786401	+	0.359137i
$59$	−0.734852	−	5.11101i	−0.0956696	−	0.665396i	−0.980068	−	0.198663i	$-0.936340\pi$
$59$	−0.734852	−	5.11101i	−0.0956696	−	0.665396i	0.884398	−	0.466733i	$-0.154569\pi$
$60$	−1.34540	+	4.89623i	−0.173691	+	0.632100i
$61$	−2.44333	+	0.717427i	−0.312836	+	0.0918571i	−0.434382	−	0.900729i	$-0.643033\pi$
$61$	−2.44333	+	0.717427i	−0.312836	+	0.0918571i	0.121545	+	0.992586i	$0.461215\pi$
$62$	−8.43012	−	1.21207i	−1.07063	−	0.153933i
$63$	3.48343	+	3.01841i	0.438871	+	0.380283i
$64$	−2.94303	+	1.89137i	−0.367879	+	0.236422i
$65$	3.79404	−	6.13628i	0.470593	−	0.761112i
$66$	−20.6420	−	6.06105i	−2.54086	−	0.746063i
$67$	−2.18587	−	0.998254i	−0.267047	−	0.121956i	0.277392	−	0.960757i	$-0.410530\pi$
$67$	−2.18587	−	0.998254i	−0.267047	−	0.121956i	−0.544439	+	0.838801i	$0.683257\pi$
$68$		−	0.907297i		−	0.110026i
$69$	13.8390	−	6.59584i	1.66602	−	0.794046i
$70$	−2.24355	+	0.701475i	−0.268155	+	0.0838423i
$71$	−3.46453	+	7.58626i	−0.411164	+	0.900323i	0.584852	+	0.811140i	$0.301153\pi$
$71$	−3.46453	+	7.58626i	−0.411164	+	0.900323i	−0.996015	+	0.0891826i	$0.971575\pi$
$72$	−4.31771	+	14.7048i	−0.508847	+	1.73297i
$73$	−0.557471	+	0.483051i	−0.0652470	+	0.0565369i	−0.686874	−	0.726777i	$-0.741018\pi$
$73$	−0.557471	+	0.483051i	−0.0652470	+	0.0565369i	0.621627	+	0.783314i	$0.286472\pi$
$74$	−13.2397	+	8.50861i	−1.53908	+	0.989106i
$75$	15.8901	+	1.72173i	1.83483	+	0.198808i
$76$	−0.0474869	+	0.330279i	−0.00544712	+	0.0378856i
$77$	−0.735411	−	2.50458i	−0.0838078	−	0.285423i
$78$	−9.17984	+	14.2841i	−1.03941	+	1.61736i
$79$	2.33484	+	16.2392i	0.262691	+	1.82705i	0.512418	+	0.858736i	$0.328750\pi$
$79$	2.33484	+	16.2392i	0.262691	+	1.82705i	−0.249727	+	0.968316i	$0.580341\pi$
$80$	−7.34248	−	8.18103i	−0.820914	−	0.914667i
$81$	8.91062	+	19.5115i	0.990069	+	2.16795i
$82$	14.2752	−	2.05247i	1.57643	−	0.226657i
$83$	5.64215	−	8.77936i	0.619307	−	0.963660i	−0.379946	−	0.925009i	$-0.624057\pi$
$83$	5.64215	−	8.77936i	0.619307	−	0.963660i	0.999253	−	0.0386517i	$-0.0123063\pi$
$84$	1.39128	−	0.408516i	0.151801	−	0.0445727i
$85$	−2.81931	+	0.455656i	−0.305797	+	0.0494228i
$86$	−0.791605	+	0.913560i	−0.0853609	+	0.0985118i
$87$	−6.91157	−	10.7546i	−0.740998	−	1.15302i
$88$	6.55931	−	5.68368i	0.699225	−	0.605882i
$89$	5.75334	+	1.68933i	0.609853	+	0.179069i	0.572054	−	0.820216i	$-0.306147\pi$
$89$	5.75334	+	1.68933i	0.609853	+	0.179069i	0.0377997	+	0.999285i	$0.487965\pi$
$90$	−26.3644	−	3.32261i	−2.77906	−	0.350234i
$91$	−2.06020			−0.215967
$92$	0.429603	−	3.37968i	0.0447892	−	0.352356i
$93$		−	16.5368i		−	1.71479i
$94$	0.403206	−	0.882897i	0.0415875	−	0.0910639i
$95$	1.05015	−	0.0183104i	0.107743	−	0.00187860i
$96$	8.05365	+	9.29441i	0.821972	+	0.948607i
$97$	3.48701	+	5.42589i	0.354052	+	0.550916i	0.971904	−	0.235379i	$-0.0756331\pi$
$97$	3.48701	+	5.42589i	0.354052	+	0.550916i	−0.617852	+	0.786295i	$0.711997\pi$
$98$	−8.20215	−	7.10721i	−0.828543	−	0.717936i
$99$	4.19947	−	29.2080i	0.422063	−	2.93551i
$100$	2.23101	−	2.76381i	0.223101	−	0.276381i
$101$	10.7453	+	6.90556i	1.06919	+	0.687129i	0.952036	−	0.305985i	$-0.0989857\pi$
$101$	10.7453	+	6.90556i	1.06919	+	0.687129i	0.117157	+	0.993113i	$0.462622\pi$
$102$	6.65305	−	0.956564i	0.658750	−	0.0947139i
$103$	−2.33053	+	1.06432i	−0.229634	+	0.104870i	−0.526909	−	0.849921i	$-0.676649\pi$
$103$	−2.33053	+	1.06432i	−0.229634	+	0.104870i	0.297276	+	0.954792i	$0.403922\pi$
$104$	−2.84563	−	6.23106i	−0.279037	−	0.611006i
$105$	−1.96813	−	4.11806i	−0.192070	−	0.401881i
$106$	9.30052	+	5.97708i	0.903347	+	0.580546i
$107$	0.764393	+	2.60328i	0.0738967	+	0.251669i	0.988154	−	0.153465i	$-0.0490432\pi$
$107$	0.764393	+	2.60328i	0.0738967	+	0.251669i	−0.914257	+	0.405134i	$0.867225\pi$
$108$	9.48170	+	1.36326i	0.912377	+	0.131180i
$109$	−4.87104	+	5.62148i	−0.466561	+	0.538440i	−0.939452	−	0.342681i	$-0.888665\pi$
$109$	−4.87104	+	5.62148i	−0.466561	+	0.538440i	0.472891	+	0.881121i	$0.343210\pi$
$110$	11.5433	+	9.65516i	1.10061	+	0.920583i
$111$	−20.0113	−	23.0942i	−1.89939	−	2.19201i
$112$	−0.884399	+	3.01199i	−0.0835679	+	0.284606i
$113$	13.6649	+	6.24056i	1.28549	+	0.587063i	0.936698	−	0.350138i	$-0.113865\pi$
$113$	13.6649	+	6.24056i	1.28549	+	0.587063i	0.348790	+	0.937201i	$0.386593\pi$
$114$	−2.47194			−0.231519
$115$	−10.7177	+	0.362380i	−0.999429	+	0.0337921i
$116$	−2.84098			−0.263779
$117$	−21.1849	−	9.67480i	−1.95854	−	0.894436i
$118$	2.39498	−	8.15655i	0.220476	−	0.750872i
$119$	0.534066	+	0.616345i	0.0489578	+	0.0565003i
$120$	9.73660	−	11.6406i	0.888826	−	1.06264i
$121$	−3.74006	+	4.31626i	−0.340006	+	0.392387i
$122$	−4.14966	−	0.596631i	−0.375693	−	0.0540164i
$123$	7.88930	+	26.8685i	0.711354	+	2.42265i
$124$	−3.09158	−	1.98684i	−0.277632	−	0.178423i
$125$	−9.70864	−	5.54457i	−0.868367	−	0.495922i
$126$	3.15229	+	6.90255i	0.280828	+	0.614928i
$127$	8.30599	−	3.79322i	0.737038	−	0.336594i	−0.0112781	−	0.999936i	$-0.503590\pi$
$127$	8.30599	−	3.79322i	0.737038	−	0.336594i	0.748316	+	0.663343i	$0.230863\pi$
$128$	−13.3171	+	1.91471i	−1.17707	+	0.169238i
$129$	−1.97452	−	1.26895i	−0.173847	−	0.111725i
$130$	9.87841	−	6.59460i	0.866394	−	0.578385i
$131$	1.86945	−	13.0023i	0.163335	−	1.13602i	−0.728958	−	0.684559i	$-0.759995\pi$
$131$	1.86945	−	13.0023i	0.163335	−	1.13602i	0.892292	−	0.451458i	$-0.149096\pi$
$132$	−7.01561	−	6.07906i	−0.610630	−	0.529114i
$133$	−0.162155	−	0.252318i	−0.0140606	−	0.0218787i
$134$	−2.59074	−	2.98987i	−0.223806	−	0.258285i
$135$	−0.525657	−	30.1478i	−0.0452414	−	2.59471i
$136$	−1.12646	+	2.46660i	−0.0965932	+	0.211510i
$137$		−	14.7844i		−	1.26311i	−0.775329	−	0.631557i	$-0.782416\pi$
$137$		−	14.7844i		−	1.26311i	0.775329	−	0.631557i	$-0.217584\pi$
$138$	25.2355	−	0.412999i	2.14819	−	0.0351568i
$139$	4.73976			0.402022			0.201011	−	0.979589i	$-0.435577\pi$
$139$	4.73976			0.402022			0.201011	+	0.979589i	$0.435577\pi$
$140$	−1.00634	−	0.126825i	−0.0850511	−	0.0107187i
$141$	1.80826	+	0.530954i	0.152283	+	0.0447144i
$142$	−10.3766	+	8.99137i	−0.870785	+	0.754539i
$143$	7.13071	+	11.0956i	0.596300	+	0.927861i
$144$	−23.2387	+	26.8189i	−1.93656	+	2.23491i
$145$	1.42678	+	8.82800i	0.118487	+	0.733126i
$146$	−1.16520	+	0.342134i	−0.0964328	+	0.0283152i
$147$	11.3929	−	17.7277i	0.939671	−	1.46216i
$148$	−6.72177	+	0.966444i	−0.552526	+	0.0794412i
$149$	−6.46275	−	14.1514i	−0.529449	−	1.15933i	−0.965737	−	0.259524i	$-0.916434\pi$
$149$	−6.46275	−	14.1514i	−0.529449	−	1.15933i	0.436287	−	0.899807i	$-0.356293\pi$
$150$	22.6187	+	13.4457i	1.84681	+	1.09784i
$151$	−0.120574	−	0.838607i	−0.00981214	−	0.0682449i	0.984327	−	0.176353i	$-0.0564299\pi$
$151$	−0.120574	−	0.838607i	−0.00981214	−	0.0682449i	−0.994139	+	0.108108i	$0.965521\pi$
$152$	0.539159	−	0.838948i	0.0437316	−	0.0680477i
$153$	2.59737	+	8.84584i	0.209985	+	0.715144i
$154$	0.611587	−	4.25368i	0.0492831	−	0.342772i
$155$	−4.62122	+	10.6045i	−0.371186	+	0.851775i
$156$	−6.16354	+	3.96106i	−0.493478	+	0.317139i
$157$	−6.34230	+	5.49563i	−0.506171	+	0.438599i	−0.870135	−	0.492814i	$-0.835968\pi$
$157$	−6.34230	+	5.49563i	−0.506171	+	0.438599i	0.363964	+	0.931413i	$0.381423\pi$
$158$	−7.60957	+	25.9158i	−0.605385	+	2.06175i
$159$	−8.91741	+	19.5264i	−0.707196	+	1.54854i
$160$	−2.56721	−	8.21078i	−0.202956	−	0.649119i
$161$	1.69756	+	2.54876i	0.133786	+	0.200871i
$162$			35.3135i			2.77449i
$163$	−6.16937	−	2.81746i	−0.483222	−	0.220680i	0.158882	−	0.987298i	$-0.449211\pi$
$163$	−6.16937	−	2.81746i	−0.483222	−	0.220680i	−0.642104	+	0.766617i	$0.721938\pi$
$164$	5.97096	+	1.75323i	0.466254	+	0.136904i
$165$	−15.3666	+	24.8531i	−1.19629	+	1.93481i
$166$	14.4537	−	9.28881i	1.12182	−	0.720952i
$167$	−0.990001	−	0.857841i	−0.0766086	−	0.0663817i	0.615715	−	0.787969i	$-0.288867\pi$
$167$	−0.990001	−	0.857841i	−0.0766086	−	0.0663817i	−0.692323	+	0.721587i	$0.743413\pi$
$168$	−4.28956	−	0.616746i	−0.330947	−	0.0475830i
$169$	−2.48534	+	0.729761i	−0.191180	+	0.0561355i
$170$	−4.53368	−	1.24578i	−0.347718	−	0.0955471i
$171$	−0.482528	−	3.35605i	−0.0368998	−	0.256644i
$172$	−0.474462	+	0.216680i	−0.0361774	+	0.0165217i
$173$	0.499912	−	0.228302i	0.0380076	−	0.0173575i	−0.396321	−	0.918112i	$-0.629713\pi$
$173$	0.499912	−	0.228302i	0.0380076	−	0.0173575i	0.434328	+	0.900755i	$0.356986\pi$
$174$	−2.99525	−	20.8324i	−0.227069	−	1.57930i
$175$	0.111302	+	3.19076i	0.00841364	+	0.241199i
$176$	19.2827	−	5.66192i	1.45349	−	0.426783i
$177$	16.3380	+	2.34904i	1.22804	+	0.176565i
$178$	7.46056	+	6.46462i	0.559193	+	0.484543i
$179$	5.33217	−	3.42678i	0.398545	−	0.256129i	−0.325982	−	0.945376i	$-0.605695\pi$
$179$	5.33217	−	3.42678i	0.398545	−	0.256129i	0.724527	+	0.689247i	$0.242058\pi$
$180$	−9.75253	−	6.02996i	−0.726911	−	0.449447i
$181$	2.45963	+	0.722214i	0.182823	+	0.0536817i	0.371863	−	0.928288i	$-0.378719\pi$
$181$	2.45963	+	0.722214i	0.182823	+	0.0536817i	−0.189039	+	0.981969i	$0.560537\pi$
$182$	−3.08525	−	1.40898i	−0.228694	−	0.104441i
$183$		−	8.14013i		−	0.601736i
$184$	−5.36399	+	8.65472i	−0.395439	+	0.638034i
$185$	6.37886	+	20.4017i	0.468983	+	1.49996i
$186$	11.3097	−	24.7647i	0.829266	−	1.81584i
$187$	1.47095	−	5.00960i	0.107567	−	0.366338i
$188$	0.316518	−	0.274265i	0.0230845	−	0.0200028i
$189$	−7.24358	+	4.65516i	−0.526893	+	0.338613i
$190$	1.58517	+	0.690784i	0.115000	+	0.0501147i
$191$	−2.77272	+	19.2847i	−0.200627	+	1.39539i	0.601803	+	0.798645i	$0.294449\pi$
$191$	−2.77272	+	19.2847i	−0.200627	+	1.39539i	−0.802430	+	0.596747i	$0.796460\pi$
$192$	−3.15062	−	10.7300i	−0.227377	−	0.774373i
$193$	−6.39108	+	9.94471i	−0.460040	+	0.715836i	−0.991336	−	0.131350i	$-0.958069\pi$
$193$	−6.39108	+	9.94471i	−0.460040	+	0.715836i	0.531296	+	0.847186i	$0.321705\pi$
$194$	1.51116	+	10.5103i	0.108495	+	0.754598i
$195$	15.4039	+	17.1631i	1.10310	+	1.22908i
$196$	−1.94540	−	4.25983i	−0.138957	−	0.304274i
$197$	12.5674	−	1.80693i	0.895393	−	0.128738i	0.320771	−	0.947157i	$-0.396058\pi$
$197$	12.5674	−	1.80693i	0.895393	−	0.128738i	0.574622	+	0.818419i	$0.305149\pi$
$198$	26.2645	−	40.8683i	1.86653	−	2.90438i
$199$	15.5381	−	4.56239i	1.10147	−	0.323419i	0.320031	−	0.947407i	$-0.396307\pi$
$199$	15.5381	−	4.56239i	1.10147	−	0.323419i	0.781434	+	0.623988i	$0.214488\pi$
$200$	−9.49672	+	4.74385i	−0.671520	+	0.335441i
$201$	5.03036	−	5.80534i	0.354814	−	0.409477i
$202$	11.3688	+	17.6902i	0.799905	+	1.24468i
$203$	1.92994	−	1.67230i	0.135455	−	0.117373i
$204$	2.78280	+	0.817104i	0.194835	+	0.0572087i
$205$	2.44926	−	19.4345i	0.171064	−	1.35737i
$206$	−4.21798			−0.293880
$207$	5.48673	+	34.1806i	0.381354	+	2.37572i
$208$		−	15.8614i		−	1.09979i
$209$	−0.797661	+	1.74663i	−0.0551754	+	0.120817i
$210$	−0.130997	−	7.51301i	−0.00903964	−	0.518447i
$211$	−16.9434	−	19.5537i	−1.16643	−	1.34613i	−0.926930	−	0.375234i	$-0.877562\pi$
$211$	−16.9434	−	19.5537i	−1.16643	−	1.34613i	−0.239499	−	0.970897i	$-0.576983\pi$
$212$	2.57909	+	4.01314i	0.177132	+	0.275624i
$213$	−20.1479	−	17.4583i	−1.38051	−	1.19622i
$214$	−0.635690	+	4.42132i	−0.0434548	+	0.302235i
$215$	0.911586	+	1.36551i	0.0621697	+	0.0931273i
$216$	−24.0847	−	15.4783i	−1.63875	−	1.05316i
$217$	3.26970	−	0.470111i	0.221961	−	0.0319132i
$218$	−11.1392	+	5.08710i	−0.754441	+	0.344542i
$219$	−0.979530	−	2.14487i	−0.0661905	−	0.144937i
$220$	2.80008	+	5.85880i	0.188781	+	0.395001i
$221$	−3.46660	−	2.22785i	−0.233189	−	0.149861i
$222$	−14.1735	−	48.2706i	−0.951265	−	3.23971i
$223$	−2.46883	−	0.354964i	−0.165325	−	0.0237701i	0.0591553	−	0.998249i	$-0.481159\pi$
$223$	−2.46883	−	0.354964i	−0.165325	−	0.0237701i	−0.224480	+	0.974479i	$0.572068\pi$
$224$	−1.60876	+	1.85660i	−0.107490	+	0.124050i
$225$	−13.8395	+	33.3331i	−0.922633	+	2.22221i
$226$	16.1959	+	18.6911i	1.07734	+	1.24331i
$227$	−1.51570	+	5.16201i	−0.100601	+	0.342615i	−0.994377	−	0.105899i	$-0.966228\pi$
$227$	−1.51570	+	5.16201i	−0.100601	+	0.342615i	0.893776	+	0.448513i	$0.148046\pi$
$228$	−0.970244	−	0.443095i	−0.0642560	−	0.0293447i
$229$	9.00062			0.594778			0.297389	−	0.954756i	$-0.403884\pi$
$229$	9.00062			0.594778			0.297389	+	0.954756i	$0.403884\pi$
$230$	−16.2981	−	6.78722i	−1.07466	−	0.447536i
$231$	8.34419			0.549007
$232$	7.72358	+	3.52724i	0.507078	+	0.231575i
$233$	1.45343	−	4.94991i	0.0952171	−	0.324280i	−0.898086	−	0.439821i	$-0.855042\pi$
$233$	1.45343	−	4.94991i	0.0952171	−	0.324280i	0.993303	+	0.115541i	$0.0368602\pi$
$234$	−25.1087	−	28.9770i	−1.64141	−	1.89428i
$235$	−1.01120	−	0.845803i	−0.0659636	−	0.0551741i
$236$	2.40210	−	2.77217i	0.156363	−	0.180453i
$237$	−51.9106	−	7.46361i	−3.37195	−	0.484814i
$238$	0.378267	+	1.28826i	0.0245194	+	0.0835054i
$239$	3.60018	+	2.31369i	0.232876	+	0.149660i	0.651875	−	0.758326i	$-0.273983\pi$
$239$	3.60018	+	2.31369i	0.232876	+	0.149660i	−0.418999	+	0.907987i	$0.637619\pi$
$240$	31.7049	−	15.1526i	2.04654	−	0.978097i
$241$	−8.85400	−	19.3876i	−0.570336	−	1.24886i	−0.946618	−	0.322357i	$-0.895525\pi$
$241$	−8.85400	−	19.3876i	−0.570336	−	1.24886i	0.376282	−	0.926505i	$-0.377202\pi$
$242$	−8.55285	+	3.90595i	−0.549798	+	0.251084i
$243$	−27.8274	+	4.00097i	−1.78513	+	0.256663i
$244$	−1.52181	−	0.978006i	−0.0974237	−	0.0626104i
$245$	−12.2599	+	8.18443i	−0.783256	+	0.522884i
$246$	−6.56095	+	45.6324i	−0.418311	+	2.90942i
$247$	1.14533	+	0.992432i	0.0728754	+	0.0631469i
$248$	5.93809	+	9.23985i	0.377069	+	0.586731i
$249$	21.8462	+	25.2119i	1.38445	+	1.59774i
$250$	−10.7472	−	14.9431i	−0.679712	−	0.945084i
$251$	−6.68285	+	14.6334i	−0.421818	+	0.923653i	0.572766	+	0.819719i	$0.305870\pi$
$251$	−6.68285	+	14.6334i	−0.421818	+	0.923653i	−0.994584	+	0.103934i	$0.966857\pi$
$252$			3.27432i			0.206263i
$253$	7.85133	−	17.9643i	0.493609	−	1.12940i
$254$	15.0328			0.943245
$255$	1.14149	−	9.05757i	0.0714830	−	0.567207i
$256$	−14.5391	−	4.26907i	−0.908694	−	0.266817i
$257$	15.5654	−	13.4875i	0.970944	−	0.841328i	−0.0164089	−	0.999865i	$-0.505223\pi$
$257$	15.5654	−	13.4875i	0.970944	−	0.841328i	0.987353	+	0.158538i	$0.0506779\pi$
$258$	−2.08910	−	3.25070i	−0.130062	−	0.202380i
$259$	3.99735	−	4.61319i	0.248383	−	0.286650i
$260$	5.05938	−	0.817695i	0.313770	−	0.0507113i
$261$	27.6987	−	8.13306i	1.71450	−	0.503424i
$262$	11.6920	−	18.1931i	0.722332	−	1.12397i
$263$	−12.8132	+	1.84226i	−0.790094	+	0.113598i	−0.525536	−	0.850771i	$-0.676135\pi$
$263$	−12.8132	+	1.84226i	−0.790094	+	0.113598i	−0.264558	+	0.964370i	$0.585226\pi$
$264$	11.5253	+	25.2370i	0.709336	+	1.55323i
$265$	11.1751	−	10.0296i	0.686480	−	0.616116i
$266$	−0.0702726	−	0.488757i	−0.00430869	−	0.0299676i
$267$	−10.3628	+	16.1249i	−0.634195	+	0.986827i
$268$	−0.480937	−	1.63792i	−0.0293779	−	0.100052i
$269$	1.02480	−	7.12761i	0.0624829	−	0.434578i	−0.934436	−	0.356132i	$-0.884095\pi$
$269$	1.02480	−	7.12761i	0.0624829	−	0.434578i	0.996918	−	0.0784455i	$-0.0249957\pi$
$270$	19.8311	−	45.5074i	1.20689	−	2.76949i
$271$	−9.71000	+	6.24024i	−0.589840	+	0.379067i	−0.801250	−	0.598330i	$-0.795831\pi$
$271$	−9.71000	+	6.24024i	−0.589840	+	0.379067i	0.211409	+	0.977398i	$0.432195\pi$
$272$	−4.74524	+	4.11177i	−0.287722	+	0.249313i
$273$	1.85540	−	6.31890i	0.112294	−	0.382437i
$274$	10.1111	−	22.1403i	0.610837	−	1.33755i
$275$	16.7993	−	11.6433i	1.01303	−	0.702114i
$276$	9.97903	+	4.36136i	0.600667	+	0.262523i
$277$		−	22.2304i		−	1.33570i	−0.744298	−	0.667848i	$-0.767216\pi$
$277$		−	22.2304i		−	1.33570i	0.744298	−	0.667848i	$-0.232784\pi$
$278$	7.09803	+	3.24156i	0.425711	+	0.194416i
$279$	35.8297	+	10.5206i	2.14507	+	0.629849i
$280$	2.57840	+	1.59422i	0.154089	+	0.0952727i
$281$	−20.7548	+	13.3383i	−1.23813	+	0.795697i	−0.985137	−	0.171772i	$-0.945051\pi$
$281$	−20.7548	+	13.3383i	−1.23813	+	0.795697i	−0.252991	+	0.967469i	$0.581414\pi$
$282$	2.34484	+	2.03182i	0.139633	+	0.120993i
$283$	−0.360630	−	0.0518507i	−0.0214372	−	0.00308220i	0.131588	−	0.991305i	$-0.457992\pi$
$283$	−0.360630	−	0.0518507i	−0.0214372	−	0.00308220i	−0.153025	+	0.988222i	$0.548902\pi$
$284$	−5.68454	+	1.66913i	−0.337316	+	0.0990448i
$285$	−0.889595	+	3.23744i	−0.0526951	+	0.191769i
$286$	3.09022	+	21.4930i	0.182729	+	1.27091i
$287$	−5.08821	+	2.32371i	−0.300347	+	0.137164i
$288$	−25.2615	+	11.5365i	−1.48855	+	0.679796i
$289$	−2.18720	−	15.2123i	−0.128659	−	0.894844i
$290$	−3.90087	+	14.1962i	−0.229067	+	0.833627i
$291$	−19.7823	+	5.80861i	−1.15966	+	0.340507i
$292$	−0.518673	−	0.0745739i	−0.0303530	−	0.00436410i
$293$	16.3635	+	14.1791i	0.955967	+	0.828350i	0.985233	−	0.171221i	$-0.0547713\pi$
$293$	16.3635	+	14.1791i	0.955967	+	0.828350i	−0.0292653	+	0.999572i	$0.509317\pi$
$294$	29.1856	−	18.7564i	1.70214	−	1.09390i
$295$	−9.82053	−	6.07200i	−0.571773	−	0.353526i
$296$	19.4739	+	5.71805i	1.13190	+	0.332355i
$297$	50.1426	+	22.8994i	2.90957	+	1.32876i
$298$		−	25.6124i		−	1.48369i
$299$	−11.8582	−	9.94016i	−0.685778	−	0.574855i
$300$	6.46775	+	9.33188i	0.373416	+	0.538777i
$301$	0.194767	−	0.426480i	0.0112262	−	0.0245819i
$302$	0.392965	−	1.33832i	0.0226126	−	0.0770115i
$303$	−30.8574	+	26.7381i	−1.77271	+	1.53606i
$304$	1.94259	−	1.24843i	0.111415	−	0.0716022i
$305$	−2.27476	+	5.21999i	−0.130252	+	0.298896i
$306$	−2.16004	+	15.0234i	−0.123482	+	0.858833i
$307$	4.30546	+	14.6631i	0.245726	+	0.836865i	0.986310	+	0.164902i	$0.0527307\pi$
$307$	4.30546	+	14.6631i	0.245726	+	0.836865i	−0.740584	+	0.671964i	$0.765451\pi$
$308$	1.00252	−	1.55995i	0.0571240	−	0.0888867i
$309$	−1.16555	−	8.10656i	−0.0663057	−	0.461166i
$310$	−14.1730	+	12.7203i	−0.804973	+	0.722464i
$311$	−1.44379	−	3.16146i	−0.0818697	−	0.179270i	0.864270	−	0.503028i	$-0.167781\pi$
$311$	−1.44379	−	3.16146i	−0.0818697	−	0.179270i	−0.946140	+	0.323758i	$0.895054\pi$
$312$	21.6743	−	3.11629i	1.22706	−	0.176425i
$313$	−10.0505	+	15.6389i	−0.568090	+	0.883965i	−0.999837	−	0.0180296i	$-0.994261\pi$
$313$	−10.0505	+	15.6389i	−0.568090	+	0.883965i	0.431748	+	0.901994i	$0.357897\pi$
$314$	−13.2564	+	3.89243i	−0.748102	+	0.219663i
$315$	10.1745	−	1.64440i	0.573270	−	0.0926516i
$316$	−7.63218	+	8.80801i	−0.429344	+	0.495489i
$317$	9.89235	+	15.3928i	0.555610	+	0.864545i	0.999503	−	0.0315344i	$-0.0100394\pi$
$317$	9.89235	+	15.3928i	0.555610	+	0.864545i	−0.443893	+	0.896080i	$0.646403\pi$
$318$	−26.7085	+	23.1430i	−1.49774	+	1.29780i
$319$	−15.6864	−	4.60594i	−0.878269	−	0.257883i
$320$	−0.978121	+	7.76124i	−0.0546787	+	0.433867i
$321$	−8.67303			−0.484081
$322$	0.799057	+	4.97787i	0.0445297	+	0.277406i
$323$		−	0.599914i		−	0.0333801i
$324$	−6.32995	+	13.8606i	−0.351664	+	0.770036i
$325$	−5.08177	−	15.3107i	−0.281886	−	0.849288i
$326$	−7.31205	−	8.43856i	−0.404977	−	0.467368i
$327$	−12.8550	−	20.0028i	−0.710884	−	1.10616i
$328$	−14.0561	−	12.1797i	−0.776118	−	0.672510i
$329$	−0.0535757	+	0.372627i	−0.00295373	+	0.0205436i
$330$	−40.0095	+	26.7094i	−2.20245	+	1.47030i
$331$	6.26264	+	4.02475i	0.344226	+	0.221220i	0.701318	−	0.712849i	$-0.252595\pi$
$331$	6.26264	+	4.02475i	0.344226	+	0.221220i	−0.357092	+	0.934069i	$0.616232\pi$
$332$	7.33812	−	1.05506i	0.402732	−	0.0579041i
$333$	62.7683	−	28.6653i	3.43968	−	1.57085i
$334$	−0.895891	−	1.96173i	−0.0490210	−	0.107341i
$335$	−4.84810	+	2.31704i	−0.264880	+	0.126593i
$336$	−8.44169	−	5.42514i	−0.460532	−	0.295966i
$337$	4.42873	+	15.0829i	0.241248	+	0.821616i	0.987725	+	0.156204i	$0.0499259\pi$
$337$	4.42873	+	15.0829i	0.241248	+	0.821616i	−0.746476	+	0.665412i	$0.768256\pi$
$338$	−4.22101	−	0.606889i	−0.229592	−	0.0330104i
$339$	−31.4472	+	36.2920i	−1.70798	+	1.97111i
$340$	−1.55618	−	1.30164i	−0.0843955	−	0.0705911i
$341$	−13.8489	−	15.9825i	−0.749959	−	0.865499i
$342$	1.57262	−	5.35586i	0.0850376	−	0.289612i
$343$	7.89489	+	3.60548i	0.426284	+	0.194677i
$344$	1.55891			0.0840507
$345$	8.54079	−	33.1989i	0.459821	−	1.78737i
$346$	0.904780			0.0486413
$347$	−31.0955	−	14.2008i	−1.66929	−	0.762341i	−0.999810	−	0.0195162i	$-0.993787\pi$
$347$	−31.0955	−	14.2008i	−1.66929	−	0.762341i	−0.669485	−	0.742825i	$-0.733485\pi$
$348$	2.55857	−	8.71368i	0.137154	−	0.467102i
$349$	10.5863	+	12.2173i	0.566673	+	0.653976i	0.964686	−	0.263404i	$-0.0848453\pi$
$349$	10.5863	+	12.2173i	0.566673	+	0.653976i	−0.398012	+	0.917380i	$0.630300\pi$
$350$	−2.01551	+	4.85445i	−0.107733	+	0.259481i
$351$	28.4909	−	32.8802i	1.52073	−	1.75502i
$352$	15.5673	+	2.23824i	0.829741	+	0.119299i
$353$	−9.41658	−	32.0699i	−0.501194	−	1.70691i	−0.689050	−	0.724714i	$-0.741972\pi$
$353$	−9.41658	−	32.0699i	−0.501194	−	1.70691i	0.187856	−	0.982197i	$-0.439846\pi$
$354$	22.8604	+	14.6915i	1.21501	+	0.780842i
$355$	8.04147	+	16.8258i	0.426797	+	0.893018i
$356$	1.76951	+	3.87468i	0.0937838	+	0.205358i
$357$	−2.37139	+	1.08298i	−0.125507	+	0.0573172i
$358$	10.3288	−	1.48505i	0.545893	−	0.0784876i
$359$	−8.75079	−	5.62379i	−0.461849	−	0.296812i	0.288949	−	0.957345i	$-0.406694\pi$
$359$	−8.75079	−	5.62379i	−0.461849	−	0.296812i	−0.750798	+	0.660532i	$0.770331\pi$
$360$	19.0270	+	28.5015i	1.00281	+	1.50216i
$361$	2.67258	−	18.5882i	0.140662	−	0.978328i
$362$	3.18949	+	2.76371i	0.167636	+	0.145258i
$363$	−9.87029	−	15.3585i	−0.518056	−	0.806110i
$364$	−0.958406	−	1.10606i	−0.0502341	−	0.0579733i
$365$	0.0287548	+	1.64916i	0.00150509	+	0.0863211i
$366$	5.56710	−	12.1902i	0.290997	−	0.637195i
$367$			22.9608i			1.19854i	0.800546	+	0.599271i	$0.204543\pi$
$367$			22.9608i			1.19854i	−0.800546	+	0.599271i	$0.795457\pi$
$368$	−19.6229	+	13.0695i	−1.02291	+	0.681294i
$369$	−63.2340			−3.29183
$370$	−4.40022	+	34.9151i	−0.228757	+	1.81515i
$371$	−4.11430	−	1.20807i	−0.213604	−	0.0627197i
$372$	8.87816	−	7.69297i	0.460311	−	0.398862i
$373$	−6.33121	−	9.85156i	−0.327818	−	0.510094i	0.637751	−	0.770243i	$-0.279865\pi$
$373$	−6.33121	−	9.85156i	−0.327818	−	0.510094i	−0.965569	+	0.260148i	$0.916229\pi$
$374$	5.62893	−	6.49613i	0.291065	−	0.335907i
$375$	25.7495	−	24.7843i	1.32970	−	1.27986i
$376$	−1.20101	+	0.352649i	−0.0619374	+	0.0181865i
$377$	−6.97598	+	10.8548i	−0.359281	+	0.559053i
$378$	−14.0313	+	2.01740i	−0.721693	+	0.103764i
$379$	−6.40153	−	14.0174i	−0.328825	−	0.720026i	0.670945	−	0.741508i	$-0.265889\pi$
$379$	−6.40153	−	14.0174i	−0.328825	−	0.720026i	−0.999769	+	0.0214819i	$0.993162\pi$
$380$	0.498361	+	0.555276i	0.0255654	+	0.0284851i
$381$	4.15401	+	28.8918i	0.212816	+	1.48017i
$382$	−17.3412	+	26.9835i	−0.887255	+	1.38060i
$383$	−6.55633	−	22.3288i	−0.335013	−	1.14095i	−0.938989	−	0.343947i	$-0.888236\pi$
$383$	−6.55633	−	22.3288i	−0.335013	−	1.14095i	0.603976	−	0.797003i	$-0.293582\pi$
$384$	6.12059	−	42.5697i	0.312340	−	2.17237i
$385$	−5.35084	−	2.33178i	−0.272704	−	0.118839i
$386$	−16.3722	+	10.5218i	−0.833324	+	0.535545i
$387$	4.00555	−	3.47083i	0.203613	−	0.176432i
$388$	−1.29084	+	4.39621i	−0.0655326	+	0.223184i
$389$	3.51058	−	7.68709i	0.177993	−	0.389751i	−0.799516	−	0.600645i	$-0.794910\pi$
$389$	3.51058	−	7.68709i	0.177993	−	0.389751i	0.977509	+	0.210894i	$0.0676376\pi$
$390$	11.3301	+	36.2375i	0.573723	+	1.83496i
$391$	0.100230	+	6.12439i	0.00506887	+	0.309724i
$392$			13.9962i			0.706916i
$393$	38.1962	+	17.4436i	1.92675	+	0.879915i
$394$	20.0561	+	5.88901i	1.01041	+	0.296684i
$395$	31.2028	+	19.2926i	1.56998	+	0.970714i
$396$	17.6345	−	11.3330i	0.886167	−	0.569505i
$397$	−1.67657	−	1.45276i	−0.0841449	−	0.0729120i	0.611773	−	0.791034i	$-0.290457\pi$
$397$	−1.67657	−	1.45276i	−0.0841449	−	0.0729120i	−0.695918	+	0.718122i	$0.745002\pi$
$398$	26.3893	+	3.79421i	1.32278	+	0.190186i
$399$	0.919927	−	0.270115i	0.0460540	−	0.0135227i
$400$	−24.5657	+	0.856913i	−1.22828	+	0.0428457i
$401$	−3.19654	−	22.2324i	−0.159628	−	1.11023i	−0.899321	−	0.437290i	$-0.855938\pi$
$401$	−3.19654	−	22.2324i	−0.159628	−	1.11023i	0.739693	−	0.672944i	$-0.234971\pi$
$402$	11.5035	−	5.25349i	0.573744	−	0.262020i
$403$	−15.1826	+	6.93368i	−0.756301	+	0.345391i
$404$	1.29131	+	8.98129i	0.0642453	+	0.446836i
$405$	46.2492	+	12.7085i	2.29814	+	0.631492i
$406$	4.03388	−	1.18445i	0.200198	−	0.0587834i
$407$	−38.6808	−	5.56146i	−1.91734	−	0.275671i
$408$	−6.55093	−	5.67641i	−0.324319	−	0.281024i
$409$	8.68745	−	5.58309i	0.429567	−	0.276066i	−0.307940	−	0.951406i	$-0.599639\pi$
$409$	8.68745	−	5.58309i	0.429567	−	0.276066i	0.737506	+	0.675340i	$0.236003\pi$
$410$	16.9593	−	27.4291i	0.837560	−	1.35463i
$411$	45.3457	+	13.3147i	2.23674	+	0.656765i
$412$	−1.65557	−	0.756072i	−0.0815639	−	0.0372490i
$413$			3.29715i			0.162242i
$414$	−15.1597	+	54.9395i	−0.745060	+	2.70013i
$415$	−6.96377	−	22.2724i	−0.341838	−	1.09331i
$416$	5.15650	−	11.2912i	0.252818	−	0.553594i
$417$	−4.26859	+	14.5375i	−0.209034	+	0.711904i
$418$	−2.38907	+	2.07014i	−0.116853	+	0.101254i
$419$	22.7196	−	14.6010i	1.10993	−	0.713306i	0.148649	−	0.988890i	$-0.452507\pi$
$419$	22.7196	−	14.6010i	1.10993	−	0.713306i	0.961277	+	0.275584i	$0.0888711\pi$
$420$	1.29529	−	2.97236i	0.0632037	−	0.145036i
$421$	2.92388	−	20.3360i	0.142501	−	0.991116i	−0.785586	−	0.618753i	$-0.787638\pi$
$421$	2.92388	−	20.3360i	0.142501	−	0.991116i	0.928087	−	0.372364i	$-0.121453\pi$
$422$	−12.0006	−	40.8703i	−0.584180	−	1.98953i
$423$	−2.30080	+	3.58011i	−0.111868	+	0.174071i
$424$	−2.02905	−	14.1123i	−0.0985391	−	0.685355i
$425$	−3.26314	+	5.48932i	−0.158285	+	0.266271i
$426$	−18.2327	−	39.9240i	−0.883376	−	1.93432i
$427$	1.60948	−	0.231409i	0.0778883	−	0.0111986i
$428$	−1.04203	+	1.62143i	−0.0503685	+	0.0783749i
$429$	−40.4536	+	11.8782i	−1.95312	+	0.573487i
$430$	0.431260	+	2.66836i	0.0207972	+	0.128680i
$431$	14.4502	−	16.6765i	0.696044	−	0.803277i	−0.292169	−	0.956367i	$-0.594377\pi$
$431$	14.4502	−	16.6765i	0.696044	−	0.803277i	0.988212	+	0.153090i	$0.0489223\pi$
$432$	−35.8401	−	55.7682i	−1.72436	−	2.68315i
$433$	1.98896	−	1.72344i	0.0955833	−	0.0828234i	−0.605758	−	0.795649i	$-0.707130\pi$
$433$	1.98896	−	1.72344i	0.0955833	−	0.0828234i	0.701342	+	0.712825i	$0.252585\pi$
$434$	5.21804	+	1.53216i	0.250474	+	0.0735458i
$435$	−28.3616	−	3.57431i	−1.35984	−	0.171375i
$436$	−5.28402			−0.253059
$437$	0.284058	−	2.23468i	0.0135883	−	0.106899i
$438$		−	3.88196i		−	0.185487i
$439$	−11.0401	+	24.1745i	−0.526917	+	1.15379i	0.439837	+	0.898078i	$0.355036\pi$
$439$	−11.0401	+	24.1745i	−0.526917	+	1.15379i	−0.966754	+	0.255710i	$0.917691\pi$
$440$	−0.338334	−	19.4044i	−0.0161295	−	0.925067i
$441$	31.1619	+	35.9627i	1.48390	+	1.71251i
$442$	−3.66776	−	5.70715i	−0.174458	−	0.271461i
$443$	12.2165	+	10.5857i	0.580424	+	0.502940i	0.894865	−	0.446337i	$-0.147272\pi$
$443$	12.2165	+	10.5857i	0.580424	+	0.502940i	−0.314441	+	0.949277i	$0.601817\pi$
$444$	3.08936	−	21.4869i	0.146614	−	1.01973i
$445$	11.1514	−	7.44444i	0.528628	−	0.352900i
$446$	−3.45443	−	2.22003i	−0.163572	−	0.105121i
$447$	49.2247	−	7.07744i	2.32825	−	0.334752i
$448$	2.03199	−	0.927981i	0.0960027	−	0.0438430i
$449$	11.5794	+	25.3553i	0.546465	+	1.19659i	0.958413	+	0.285384i	$0.0921212\pi$
$449$	11.5794	+	25.3553i	0.546465	+	1.19659i	−0.411948	+	0.911207i	$0.635151\pi$
$450$	−43.5221	+	40.4530i	−2.05165	+	1.90697i
$451$	30.1260	+	19.3608i	1.41858	+	0.911665i
$452$	3.00657	+	10.2394i	0.141417	+	0.481622i
$453$	2.68071	+	0.385428i	0.125951	+	0.0181090i
$454$	−5.80018	+	6.69376i	−0.272216	+	0.314154i
$455$	−2.95562	+	3.53360i	−0.138562	+	0.165658i
$456$	2.08760	+	2.40922i	0.0977610	+	0.112822i
$457$	−8.91353	+	30.3567i	−0.416958	+	1.42003i	0.436895	+	0.899512i	$0.356078\pi$
$457$	−8.91353	+	30.3567i	−0.416958	+	1.42003i	−0.853853	+	0.520515i	$0.825740\pi$
$458$	13.4789	+	6.15559i	0.629826	+	0.287632i
$459$	−17.2224			−0.803875
$460$	−5.18043	−	5.58543i	−0.241539	−	0.260422i
$461$	−21.3245			−0.993183			−0.496591	−	0.867984i	$-0.665415\pi$
$461$	−21.3245			−0.993183			−0.496591	+	0.867984i	$0.665415\pi$
$462$	12.4958	+	5.70665i	0.581359	+	0.265498i
$463$	−6.47788	+	22.0616i	−0.301053	+	1.02529i	0.660535	+	0.750795i	$0.270329\pi$
$463$	−6.47788	+	22.0616i	−0.301053	+	1.02529i	−0.961588	+	0.274496i	$0.911489\pi$
$464$	12.8750	+	14.8586i	0.597708	+	0.689792i
$465$	−28.3636	−	23.7243i	−1.31533	−	1.10019i
$466$	5.56186	−	6.41873i	0.257648	−	0.297342i
$467$	39.2327	+	5.64081i	1.81547	+	0.261026i	0.964481	−	0.264153i	$-0.0850925\pi$
$467$	39.2327	+	5.64081i	1.81547	+	0.261026i	0.850992	+	0.525179i	$0.176002\pi$
$468$	−4.66111	−	15.8743i	−0.215460	−	0.733788i
$469$	1.29085	+	0.829577i	0.0596058	+	0.0383063i
$470$	−0.935875	−	1.95820i	−0.0431687	−	0.0903250i
$471$	−11.1440	−	24.4020i	−0.513490	−	1.12439i
$472$	−9.97222	+	4.55416i	−0.459008	+	0.209622i
$473$	−2.97102	+	0.427168i	−0.136608	+	0.0196412i
$474$	−72.6342	−	46.6792i	−3.33620	−	2.14404i
$475$	1.47517	−	1.82746i	0.0676854	−	0.0838497i
$476$	−0.0824496	+	0.573449i	−0.00377907	+	0.0262840i
$477$	−36.6339	−	31.7435i	−1.67735	−	1.45343i
$478$	3.80909	+	5.92706i	0.174224	+	0.271097i
$479$	3.78663	+	4.37000i	0.173015	+	0.199670i	0.835634	−	0.549286i	$-0.185100\pi$
$479$	3.78663	+	4.37000i	0.173015	+	0.199670i	−0.662619	+	0.748957i	$0.730555\pi$
$480$	27.4956	−	0.479412i	1.25500	−	0.0218821i
$481$	−12.8126	+	28.0556i	−0.584203	+	1.27923i
$482$		−	35.0891i		−	1.59827i
$483$	−9.34621	+	2.91124i	−0.425267	+	0.132466i
$484$	−4.05716			−0.184416
$485$	14.3089	+	1.80330i	0.649736	+	0.0818838i
$486$	−44.4092	−	13.0397i	−2.01444	−	0.591493i
$487$	12.2109	−	10.5808i	0.553327	−	0.479460i	−0.332740	−	0.943019i	$-0.607973\pi$
$487$	12.2109	−	10.5808i	0.553327	−	0.479460i	0.886066	+	0.463558i	$0.153428\pi$
$488$	2.92298	+	4.54824i	0.132317	+	0.205889i
$489$	14.1976	−	16.3849i	0.642038	−	0.740951i
$490$	−23.9572	+	3.87195i	−1.08228	+	0.174917i
$491$	−24.1929	+	7.10367i	−1.09181	+	0.320584i	−0.777594	−	0.628767i	$-0.783560\pi$
$491$	−24.1929	+	7.10367i	−1.09181	+	0.320584i	−0.314216	+	0.949351i	$0.601742\pi$
$492$	−10.7548	+	16.7348i	−0.484864	+	0.754463i
$493$	5.05581	−	0.726916i	0.227702	−	0.0327387i
$494$	1.03645	+	2.26951i	0.0466322	+	0.102110i
$495$	−44.0722	−	49.1054i	−1.98090	−	2.20713i
$496$	3.61938	+	25.1734i	0.162515	+	1.13032i
$497$	2.87912	−	4.47999i	0.129146	−	0.200955i
$498$	15.4732	+	52.6968i	0.693370	+	2.36140i
$499$	1.49388	−	10.3902i	0.0668752	−	0.465128i	−0.928675	−	0.370895i	$-0.879051\pi$
$499$	1.49388	−	10.3902i	0.0668752	−	0.465128i	0.995550	−	0.0942329i	$-0.0300398\pi$
$500$	−1.53975	−	7.79163i	−0.0688598	−	0.348452i
$501$	3.52270	−	2.26390i	0.157383	−	0.101144i
$502$	−20.0158	+	17.3438i	−0.893349	+	0.774091i
$503$	10.6465	−	36.2588i	0.474705	−	1.61670i	−0.279560	−	0.960128i	$-0.590189\pi$
$503$	10.6465	−	36.2588i	0.474705	−	1.61670i	0.754265	−	0.656570i	$-0.227993\pi$
$504$	4.06525	−	8.90166i	0.181081	−	0.396511i
$505$	27.2597	−	8.52311i	1.21304	−	0.379274i
$506$	24.0436	−	21.5328i	1.06887	−	0.957249i
$507$		−	8.28009i		−	0.367732i
$508$	5.90043	+	2.69464i	0.261789	+	0.119555i
$509$	24.3006	+	7.13531i	1.07711	+	0.316267i	0.771721	−	0.635962i	$-0.219396\pi$
$509$	24.3006	+	7.13531i	1.07711	+	0.316267i	0.305386	+	0.952229i	$0.401215\pi$
$510$	7.90398	−	12.7835i	0.349994	−	0.566062i
$511$	0.396242	−	0.254649i	0.0175287	−	0.0112650i
$512$	1.48238	+	1.28449i	0.0655124	+	0.0567668i
$513$	6.26940	+	0.901404i	0.276801	+	0.0397979i
$514$	32.5342	−	9.55290i	1.43502	−	0.421360i
$515$	−1.51795	+	5.52418i	−0.0668890	+	0.243424i
$516$	−0.237289	−	1.65038i	−0.0104461	−	0.0726540i
$517$	2.19230	−	1.00119i	0.0964170	−	0.0440322i
$518$	9.14122	−	4.17466i	0.401642	−	0.183424i
$519$	0.250017	+	1.73890i	0.0109745	+	0.0763294i
$520$	−14.7698	−	4.05850i	−0.647699	−	0.177977i
$521$	13.3860	−	3.93048i	0.586451	−	0.172198i	0.0249715	−	0.999688i	$-0.492050\pi$
$521$	13.3860	−	3.93048i	0.586451	−	0.172198i	0.561480	+	0.827491i	$0.310232\pi$
$522$	47.0423	+	6.76367i	2.05899	+	0.296038i
$523$	7.42978	+	6.43794i	0.324881	+	0.281511i	0.801996	−	0.597330i	$-0.203772\pi$
$523$	7.42978	+	6.43794i	0.324881	+	0.281511i	−0.477114	+	0.878841i	$0.658317\pi$
$524$	7.85023	−	5.04504i	0.342939	−	0.220394i
$525$	−9.88674	−	2.53220i	−0.431493	−	0.110514i
$526$	−20.4483	−	6.00416i	−0.891587	−	0.261794i
$527$	6.01014	+	2.74474i	0.261806	+	0.119563i
$528$			64.2418i			2.79577i
$529$	−2.52653	+	22.8608i	−0.109849	+	0.993948i
$530$	23.5946	−	7.37716i	1.02488	−	0.320443i
$531$	−15.4836	+	33.9043i	−0.671931	+	1.47132i
$532$	0.0600274	−	0.204435i	0.00260252	−	0.00886337i
$533$	21.3603	−	18.5088i	0.925219	−	0.801707i
$534$	−26.5468	+	17.0606i	−1.14879	+	0.738283i
$535$	5.56172	+	2.42368i	0.240454	+	0.104785i
$536$	−0.726082	+	5.05001i	−0.0313620	+	0.218127i
$537$	5.70828	+	19.4406i	0.246330	+	0.838924i
$538$	6.40931	−	9.97307i	0.276325	−	0.429970i
$539$	−3.83521	−	26.6745i	−0.165194	−	1.14895i
$540$	15.9410	−	14.3070i	0.685990	−	0.615677i
$541$	1.53156	+	3.35365i	0.0658468	+	0.144184i	0.939694	−	0.342016i	$-0.111110\pi$
$541$	1.53156	+	3.35365i	0.0658468	+	0.144184i	−0.873847	+	0.486201i	$0.838382\pi$
$542$	−18.8089	+	2.70432i	−0.807913	+	0.116160i
$543$	−4.43025	+	6.89361i	−0.190120	+	0.295833i
$544$	−4.71468	+	1.38435i	−0.202140	+	0.0593537i
$545$	2.65370	+	16.4194i	0.113672	+	0.703331i
$546$	7.10009	−	8.19394i	0.303856	−	0.350668i
$547$	−8.90580	−	13.8577i	−0.380785	−	0.592512i	0.596970	−	0.802263i	$-0.296371\pi$
$547$	−8.90580	−	13.8577i	−0.380785	−	0.592512i	−0.977755	+	0.209751i	$0.932735\pi$
$548$	7.93730	−	6.87771i	0.339065	−	0.293801i
$549$	17.6369	+	5.17866i	0.752725	+	0.221020i
$550$	33.1206	−	5.94719i	1.41227	−	0.253589i
$551$	−1.87849			−0.0800263
$552$	−21.7144	−	24.2465i	−0.924227	−	1.03200i
$553$		−	10.4760i		−	0.445486i
$554$	15.2035	−	33.2911i	0.645937	−	1.41440i
$555$	−68.3195	+	1.19122i	−2.90000	+	0.0505644i
$556$	2.20495	+	2.54464i	0.0935105	+	0.107917i
$557$	17.0009	+	26.4538i	0.720349	+	1.12089i	0.987559	+	0.157247i	$0.0502619\pi$
$557$	17.0009	+	26.4538i	0.720349	+	1.12089i	−0.267210	+	0.963638i	$0.586102\pi$
$558$	46.4617	+	40.2593i	1.96688	+	1.70431i
$559$	−0.337143	+	2.34488i	−0.0142596	+	0.0991779i
$560$	3.89731	+	5.83799i	0.164691	+	0.246700i
$561$	14.0404	+	9.02322i	0.592786	+	0.380961i
$562$	−40.2035	+	5.78039i	−1.69588	+	0.243831i
$563$	−36.1260	+	16.4982i	−1.52253	+	0.695315i	−0.988649	−	0.150246i	$-0.951993\pi$
$563$	−36.1260	+	16.4982i	−1.52253	+	0.695315i	−0.533879	+	0.845561i	$0.679266\pi$
$564$	0.556153	+	1.21781i	0.0234183	+	0.0512789i
$565$	30.3078	−	14.4849i	1.27506	−	0.609384i
$566$	−0.504599	−	0.324286i	−0.0212099	−	0.0136308i
$567$	−3.85879	−	13.1418i	−0.162054	−	0.551906i
$568$	17.5265	+	2.51993i	0.735395	+	0.105734i
$569$	9.99749	−	11.5377i	0.419116	−	0.483686i	−0.506451	−	0.862269i	$-0.669043\pi$
$569$	9.99749	−	11.5377i	0.419116	−	0.483686i	0.925568	+	0.378583i	$0.123588\pi$
$570$	−3.54632	+	4.23982i	−0.148539	+	0.177587i
$571$	17.3423	+	20.0140i	0.725751	+	0.837561i	0.991986	−	0.126347i	$-0.0403253\pi$
$571$	17.3423	+	20.0140i	0.725751	+	0.837561i	−0.266235	+	0.963908i	$0.585780\pi$
$572$	−2.63969	+	8.98996i	−0.110371	+	0.375889i
$573$	−56.6517	−	25.8720i	−2.36666	−	1.08082i
$574$	−9.20904			−0.384378
$575$	−14.7544	+	18.9026i	−0.615299	+	0.788294i
$576$	25.2527			1.05220
$577$	4.78684	+	2.18608i	0.199279	+	0.0910076i	0.512555	−	0.858655i	$-0.328699\pi$
$577$	4.78684	+	2.18608i	0.199279	+	0.0910076i	−0.313276	+	0.949662i	$0.601426\pi$
$578$	7.12839	−	24.2771i	0.296502	−	1.00979i
$579$	−24.7460	−	28.5584i	−1.02841	−	1.18685i
$580$	−4.07576	+	4.87280i	−0.169237	+	0.202332i
$581$	−4.36389	+	5.03620i	−0.181045	+	0.208937i
$582$	−33.5975	−	4.83060i	−1.39266	−	0.200235i
$583$	7.73404	+	26.3397i	0.320311	+	1.09088i
$584$	1.31749	+	0.846700i	0.0545182	+	0.0350367i
$585$	−46.9864	+	22.4561i	−1.94265	+	0.928444i
$586$	14.8080	+	32.4250i	0.611713	+	1.33946i
$587$	−22.8678	+	10.4434i	−0.943856	+	0.431045i	−0.827062	−	0.562111i	$-0.809989\pi$
$587$	−22.8678	+	10.4434i	−0.943856	+	0.431045i	−0.116795	+	0.993156i	$0.537262\pi$
$588$	14.8175	−	2.13043i	0.611063	−	0.0878576i
$589$	−2.04419	−	1.31372i	−0.0842292	−	0.0541308i
$590$	−10.5540	−	15.8095i	−0.434503	−	0.650865i
$591$	−5.77606	+	40.1734i	−0.237595	+	1.65251i
$592$	35.5169	+	30.7756i	1.45974	+	1.26487i
$593$	−3.35907	−	5.22681i	−0.137940	−	0.214640i	0.765410	−	0.643543i	$-0.222536\pi$
$593$	−3.35907	−	5.22681i	−0.137940	−	0.214640i	−0.903350	+	0.428904i	$0.858900\pi$
$594$	59.4300	+	68.5859i	2.43844	+	2.81411i
$595$	1.82333	−	0.0317915i	0.0747492	−	0.00130333i
$596$	4.59102	−	10.0529i	0.188056	−	0.411784i
$597$			51.7662i			2.11865i
$598$	−10.9601	−	22.9958i	−0.448191	−	0.940368i
$599$	−21.7863			−0.890164			−0.445082	−	0.895490i	$-0.646825\pi$
$599$	−21.7863			−0.890164			−0.445082	+	0.895490i	$0.646825\pi$
$600$	−5.99735	−	33.4000i	−0.244841	−	1.36355i
$601$	−14.7064	−	4.31819i	−0.599886	−	0.176143i	−0.0323303	−	0.999477i	$-0.510293\pi$
$601$	−14.7064	−	4.31819i	−0.599886	−	0.176143i	−0.567556	+	0.823335i	$0.692111\pi$
$602$	0.583346	−	0.505472i	0.0237754	−	0.0206015i
$603$	9.37795	+	14.5924i	0.381900	+	0.594247i
$604$	0.394133	−	0.454854i	0.0160370	−	0.0185077i
$605$	2.03755	+	12.6071i	0.0828383	+	0.512552i
$606$	−64.4968	+	18.9380i	−2.62000	+	0.769302i
$607$	18.2962	−	28.4695i	0.742621	−	1.15554i	−0.240154	−	0.970735i	$-0.577198\pi$
$607$	18.2962	−	28.4695i	0.742621	−	1.15554i	0.982775	−	0.184806i	$-0.0591658\pi$
$608$	1.78872	−	0.257179i	0.0725420	−	0.0104300i
$609$	3.39109	+	7.42544i	0.137414	+	0.300894i
$610$	−6.97656	+	6.26146i	−0.282472	+	0.253519i
$611$	−0.270707	−	1.88281i	−0.0109516	−	0.0761702i
$612$	−3.54077	+	5.50955i	−0.143127	+	0.222710i
$613$	0.962165	+	3.27683i	0.0388615	+	0.132350i	0.976639	−	0.214887i	$-0.0689382\pi$
$613$	0.962165	+	3.27683i	0.0388615	+	0.132350i	−0.937778	+	0.347237i	$0.887120\pi$
$614$	−3.58054	+	24.9032i	−0.144499	+	1.00501i
$615$	57.4025	+	25.0148i	2.31469	+	1.00869i
$616$	−4.66226	+	2.99625i	−0.187848	+	0.120722i
$617$	22.5722	−	19.5589i	0.908721	−	0.787412i	−0.0689350	−	0.997621i	$-0.521960\pi$
$617$	22.5722	−	19.5589i	0.908721	−	0.787412i	0.977656	+	0.210210i	$0.0674146\pi$
$618$	3.79868	−	12.9371i	0.152805	−	0.520407i
$619$	1.80206	−	3.94596i	0.0724310	−	0.158602i	−0.869953	−	0.493134i	$-0.835851\pi$
$619$	1.80206	−	3.94596i	0.0724310	−	0.158602i	0.942384	+	0.334533i	$0.108578\pi$
$620$	−7.84306	+	2.45224i	−0.314985	+	0.0984841i
$621$	−64.1535	−	8.15478i	−2.57439	−	0.327240i
$622$		−	5.72185i		−	0.229425i
$623$	−3.48284	−	1.59056i	−0.139537	−	0.0637244i
$624$	48.6492	+	14.2847i	1.94753	+	0.571845i
$625$	−23.4382	+	8.69764i	−0.937530	+	0.347906i
$626$	−25.7467	+	16.5464i	−1.02905	+	0.661328i
$627$	−4.63879	−	4.01954i	−0.185256	−	0.160525i
$628$	−5.90089	−	0.848420i	−0.235471	−	0.0338557i
$629$	11.7148	−	3.43977i	0.467098	−	0.137152i
$630$	16.3615	+	4.49587i	0.651857	+	0.179120i
$631$	−0.273871	−	1.90481i	−0.0109026	−	0.0758293i	0.983644	−	0.180125i	$-0.0576502\pi$
$631$	−0.273871	−	1.90481i	−0.0109026	−	0.0758293i	−0.994546	+	0.104296i	$0.966741\pi$
$632$	31.6847	−	14.4699i	1.26035	−	0.575583i
$633$	75.2328	−	34.3577i	2.99024	−	1.36560i
$634$	4.28702	+	29.8169i	0.170259	+	1.18418i
$635$	5.40998	−	19.6881i	0.214688	−	0.781300i
$636$	−14.6315	+	4.29621i	−0.580179	+	0.170356i
$637$	−21.0529	−	3.02695i	−0.834145	−	0.119932i
$638$	−20.3411	−	17.6257i	−0.805311	−	0.697806i
$639$	50.6441	−	32.5470i	2.00345	−	1.28754i
$640$	−15.8210	+	25.5881i	−0.625381	+	1.01146i
$641$	−24.5825	−	7.21809i	−0.970952	−	0.285097i	−0.242468	−	0.970159i	$-0.577957\pi$
$641$	−24.5825	−	7.21809i	−0.970952	−	0.285097i	−0.728485	+	0.685062i	$0.759775\pi$
$642$	−12.9883	−	5.93155i	−0.512607	−	0.234100i
$643$			18.0240i			0.710797i	0.934715	+	0.355399i	$0.115655\pi$
$643$			18.0240i			0.710797i	−0.934715	+	0.355399i	$0.884345\pi$
$644$	−0.578651	+	2.09706i	−0.0228020	+	0.0826356i
$645$	−5.00918	+	1.56619i	−0.197236	+	0.0616686i
$646$	0.410286	−	0.898401i	0.0161425	−	0.0353471i
$647$	−3.62058	+	12.3305i	−0.142340	+	0.484764i	−0.999543	−	0.0302132i	$-0.990381\pi$
$647$	−3.62058	+	12.3305i	−0.142340	+	0.484764i	0.857204	+	0.514977i	$0.172200\pi$
$648$	34.4175	−	29.8230i	1.35205	−	1.17156i
$649$	17.7575	−	11.4120i	0.697041	−	0.447961i
$650$	2.86094	−	26.4041i	0.112215	−	1.03565i
$651$	−1.50277	+	10.4520i	−0.0588981	+	0.409645i
$652$	−1.35739	−	4.62284i	−0.0531594	−	0.181044i
$653$	−15.9779	+	24.8621i	−0.625265	+	0.972931i	0.373705	+	0.927548i	$0.378087\pi$
$653$	−15.9779	+	24.8621i	−0.625265	+	0.972931i	−0.998970	+	0.0453834i	$0.985549\pi$
$654$	−5.57095	−	38.7468i	−0.217841	−	1.51512i
$655$	−19.6193	−	21.8599i	−0.766590	−	0.854139i
$656$	−17.8902	−	39.1741i	−0.698495	−	1.52949i
$657$	5.27037	−	0.757765i	0.205617	−	0.0295632i
$658$	−0.335075	+	0.521387i	−0.0130626	+	0.0203258i
$659$	−17.2790	+	5.07358i	−0.673096	+	0.197639i	−0.600381	−	0.799714i	$-0.704984\pi$
$659$	−17.2790	+	5.07358i	−0.673096	+	0.197639i	−0.0727146	+	0.997353i	$0.523166\pi$
$660$	−20.4915	+	3.31182i	−0.797629	+	0.128912i
$661$	23.3762	−	26.9776i	0.909230	−	1.04931i	−0.0893487	−	0.996000i	$-0.528479\pi$
$661$	23.3762	−	26.9776i	0.909230	−	1.04931i	0.998578	−	0.0533064i	$-0.0169760\pi$
$662$	6.62604	+	10.3103i	0.257529	+	0.400722i
$663$	9.95511	−	8.62616i	0.386625	−	0.335012i
$664$	−21.2596	−	6.24237i	−0.825031	−	0.242251i
$665$	−0.665402	−	0.0838582i	−0.0258032	−	0.00325188i
$666$	113.603			4.40203
$667$	19.1771	−	0.313848i	0.742540	−	0.0121522i
$668$		−	0.930571i		−	0.0360049i
$669$	3.31213	−	7.25255i	0.128054	−	0.280400i
$670$	−8.84491	+	0.154220i	−0.341709	+	0.00595802i
$671$	−6.81701	−	7.86724i	−0.263168	−	0.303712i
$672$	−4.24562	−	6.60632i	−0.163778	−	0.254844i
$673$	3.86306	+	3.34736i	0.148910	+	0.129031i	0.726130	−	0.687557i	$-0.241317\pi$
$673$	3.86306	+	3.34736i	0.148910	+	0.129031i	−0.577220	+	0.816589i	$0.695863\pi$
$674$	−3.68305	+	25.6162i	−0.141866	+	0.986698i
$675$	−52.4631	−	42.3494i	−2.01930	−	1.63003i
$676$	−1.54797	−	0.994820i	−0.0595373	−	0.0382623i
$677$	−12.8777	+	1.85153i	−0.494930	+	0.0711601i	−0.385260	−	0.922808i	$-0.625888\pi$
$677$	−12.8777	+	1.85153i	−0.494930	+	0.0711601i	−0.109669	+	0.993968i	$0.534979\pi$
$678$	−71.9140	+	32.8420i	−2.76184	+	1.26129i
$679$	−1.71086	−	3.74627i	−0.0656569	−	0.143769i
$680$	2.61461	+	5.47074i	0.100266	+	0.209793i
$681$	−14.4676	−	9.29773i	−0.554398	−	0.356290i
$682$	−9.80885	−	33.4059i	−0.375600	−	1.27918i
$683$	−50.3472	−	7.23884i	−1.92648	−	0.276986i	−0.930483	−	0.366335i	$-0.880612\pi$
$683$	−50.3472	−	7.23884i	−1.92648	−	0.276986i	−0.996000	+	0.0893487i	$0.971521\pi$
$684$	1.57729	−	1.82030i	0.0603094	−	0.0696007i
$685$	−25.3578	−	21.2101i	−0.968873	−	0.810396i
$686$	9.35718	+	10.7988i	0.357259	+	0.412298i
$687$	−8.10589	+	27.6061i	−0.309259	+	1.05324i
$688$	3.28347	+	1.49951i	0.125181	+	0.0571682i
$689$	21.6663			0.825421
$690$	35.4953	−	43.8759i	1.35128	−	1.67033i
$691$	34.5692			1.31507			0.657536	−	0.753423i	$-0.271599\pi$
$691$	34.5692			1.31507			0.657536	+	0.753423i	$0.271599\pi$
$692$	0.355128	+	0.162182i	0.0135000	+	0.00616522i
$693$	−5.30848	+	18.0790i	−0.201652	+	0.686765i
$694$	−36.8550	−	42.5329i	−1.39900	−	1.61453i
$695$	6.79981	−	8.12954i	0.257931	−	0.308371i
$696$	−17.7743	+	20.5127i	−0.673734	+	0.777531i
$697$	−11.0745	−	1.59227i	−0.419477	−	0.0603117i
$698$	7.49806	+	25.5360i	0.283806	+	0.966553i
$699$	13.8731	+	8.91571i	0.524729	+	0.337223i
$700$	−1.66125	+	1.54410i	−0.0627894	+	0.0583616i
$701$	14.0335	+	30.7290i	0.530037	+	1.16062i	0.965498	+	0.260411i	$0.0838580\pi$
$701$	14.0335	+	30.7290i	0.530037	+	1.16062i	−0.435461	+	0.900207i	$0.643415\pi$
$702$	65.1536	−	29.7546i	2.45906	−	1.12302i
$703$	−4.44450	+	0.639023i	−0.167628	+	0.0241012i
$704$	−12.0309	−	7.73181i	−0.453433	−	0.291404i
$705$	3.50487	−	2.33977i	0.132001	−	0.0881210i
$706$	7.83108	−	54.4664i	0.294727	−	2.04987i
$707$	−6.16391	−	5.34106i	−0.231818	−	0.200871i
$708$	6.33931	+	9.86415i	0.238246	+	0.370718i
$709$	22.1310	+	25.5406i	0.831148	+	0.959196i	0.999649	−	0.0265056i	$-0.00843798\pi$
$709$	22.1310	+	25.5406i	0.831148	+	0.959196i	−0.168501	+	0.985702i	$0.553893\pi$
$710$	0.535232	+	30.6970i	0.0200869	+	1.15204i
$711$	49.1960	−	107.724i	1.84499	−	4.03998i
$712$		−	12.7308i		−	0.477106i
$713$	21.0881	+	13.0699i	0.789757	+	0.489473i
$714$	−4.29193			−0.160621
$715$	29.2609	+	3.68764i	1.09429	+	0.137910i
$716$	4.32027	+	1.26855i	0.161456	+	0.0474078i
$717$	−10.3387	+	8.95854i	−0.386106	+	0.334563i
$718$	−9.25859	−	14.4066i	−0.345527	−	0.537651i
$719$	−8.64717	+	9.97936i	−0.322485	+	0.372167i	−0.893725	−	0.448616i	$-0.851917\pi$
$719$	−8.64717	+	9.97936i	−0.322485	+	0.372167i	0.571240	+	0.820783i	$0.306463\pi$
$720$	12.6602	+	78.3337i	0.471819	+	2.91932i
$721$	1.56971	−	0.460908i	0.0584591	−	0.0171651i
$722$	16.7150	−	26.0090i	0.622066	−	0.967954i
$723$	67.4381	−	9.69613i	2.50805	−	0.360603i
$724$	0.756490	+	1.65648i	0.0281147	+	0.0615626i
$725$	17.1885	+	10.2177i	0.638365	+	0.379477i
$726$	−4.27746	−	29.7504i	−0.158752	−	1.10414i
$727$	24.7010	−	38.4355i	0.916110	−	1.42550i	0.0111793	−	0.999938i	$-0.496441\pi$
$727$	24.7010	−	38.4355i	0.916110	−	1.42550i	0.904931	−	0.425558i	$-0.139922\pi$
$728$	1.23232	+	4.19688i	0.0456727	+	0.155547i
$729$	3.63167	−	25.2588i	0.134506	−	0.935512i
$730$	−1.08481	+	2.48937i	−0.0401507	+	0.0921356i
$731$	0.788912	−	0.507003i	0.0291789	−	0.0187522i
$732$	4.37020	−	3.78680i	0.161527	−	0.139964i
$733$	−13.8089	+	47.0288i	−0.510043	+	1.73705i	0.152768	+	0.988262i	$0.451181\pi$
$733$	−13.8089	+	47.0288i	−0.510043	+	1.73705i	−0.662811	+	0.748786i	$0.730637\pi$
$734$	−15.7030	+	34.3849i	−0.579610	+	1.26917i
$735$	−14.0616	−	44.9736i	−0.518669	−	1.65888i
$736$	−18.2176	+	2.92433i	−0.671511	+	0.107792i
$737$		−	9.82343i		−	0.361851i
$738$	−94.6960	−	43.2462i	−3.48581	−	1.59191i
$739$	−47.4263	−	13.9256i	−1.74461	−	0.512262i	−0.754957	−	0.655774i	$-0.772342\pi$
$739$	−47.4263	−	13.9256i	−1.74461	−	0.512262i	−0.989649	+	0.143512i	$0.954160\pi$
$740$	−7.98562	+	12.9155i	−0.293557	+	0.474784i
$741$	−4.07540	+	2.61910i	−0.149713	+	0.0962150i
$742$	−5.33516	−	4.62294i	−0.195860	−	0.169713i
$743$	5.02759	+	0.722859i	0.184444	+	0.0265191i	0.233918	−	0.972256i	$-0.424845\pi$
$743$	5.02759	+	0.722859i	0.184444	+	0.0265191i	−0.0494736	+	0.998775i	$0.515754\pi$
$744$	−33.6877	+	9.89159i	−1.23505	+	0.362643i
$745$	−33.5439	−	9.21732i	−1.22895	−	0.337696i
$746$	−2.74374	−	19.0832i	−0.100456	−	0.698684i
$747$	−68.5239	+	31.2938i	−2.50716	+	1.14498i
$748$	3.37380	−	1.54076i	0.123358	−	0.0563359i
$749$	−0.246558	−	1.71485i	−0.00900902	−	0.0626591i
$750$	55.5113	−	19.5055i	2.02699	−	0.712238i
$751$	−16.5964	+	4.87313i	−0.605610	+	0.177823i	−0.570140	−	0.821548i	$-0.693111\pi$
$751$	−16.5964	+	4.87313i	−0.605610	+	0.177823i	−0.0354699	+	0.999371i	$0.511293\pi$
$752$	−2.86885	−	0.412479i	−0.104616	−	0.0150416i
$753$	−38.8641	−	33.6760i	−1.41629	−	1.22722i
$754$	−17.8706	+	11.4847i	−0.650808	+	0.418249i
$755$	−1.61134	−	0.996286i	−0.0586427	−	0.0362586i
$756$	−5.86894	−	1.72328i	−0.213451	−	0.0626750i
$757$	−25.8760	−	11.8172i	−0.940481	−	0.429503i	−0.114640	−	0.993407i	$-0.536572\pi$
$757$	−25.8760	−	11.8172i	−0.940481	−	0.429503i	−0.825840	+	0.563904i	$0.809299\pi$
$758$		−	25.3698i		−	0.921473i
$759$	48.0280	+	40.2596i	1.74331	+	1.46133i
$760$	−0.665452	−	2.12833i	−0.0241385	−	0.0772028i
$761$	−10.4443	+	22.8699i	−0.378606	+	0.829032i	0.620392	+	0.784292i	$0.286973\pi$
$761$	−10.4443	+	22.8699i	−0.378606	+	0.829032i	−0.998999	+	0.0447407i	$0.985754\pi$
$762$	−13.5385	+	46.1078i	−0.490447	+	1.67031i
$763$	3.58954	−	3.11036i	0.129950	−	0.112602i
$764$	−11.6433	+	7.48267i	−0.421239	+	0.270714i
$765$	18.8985	+	8.23555i	0.683275	+	0.297757i
$766$	5.45242	−	37.9224i	0.197004	−	1.37019i
$767$	−4.69361	−	15.9850i	−0.169476	−	0.577183i
$768$	26.1876	−	40.7487i	0.944964	−	1.47039i
$769$	1.87415	+	13.0350i	0.0675835	+	0.470054i	0.995306	+	0.0967819i	$0.0308549\pi$
$769$	1.87415	+	13.0350i	0.0675835	+	0.470054i	−0.927722	+	0.373272i	$0.878236\pi$
$770$	−6.41842	−	7.15144i	−0.231304	−	0.257720i
$771$	27.3499	+	59.8880i	0.984984	+	2.15681i
$772$	−8.31216	+	1.19511i	−0.299161	+	0.0430129i
$773$	−7.26298	+	11.3014i	−0.261231	+	0.406484i	−0.946949	−	0.321384i	$-0.895852\pi$
$773$	−7.26298	+	11.3014i	−0.261231	+	0.406484i	0.685718	+	0.727867i	$0.259488\pi$
$774$	8.37223	−	2.45831i	0.300934	−	0.0883621i
$775$	11.5589	+	23.1398i	0.415208	+	0.831205i
$776$	8.96746	−	10.3490i	0.321913	−	0.371508i
$777$	10.5493	+	16.4150i	0.378454	+	0.588885i
$778$	10.5145	−	9.11089i	0.376964	−	0.326641i
$779$	3.94806	+	1.15926i	0.141454	+	0.0415347i
$780$	−2.04846	+	16.2542i	−0.0733467	+	0.581995i
$781$	−34.0931			−1.21995
$782$	−4.03842	+	9.24013i	−0.144414	+	0.330426i
$783$			53.9280i			1.92723i
$784$	−13.4629	+	29.4797i	−0.480819	+	1.05285i
$785$	0.327140	+	18.7624i	0.0116761	+	0.669658i
$786$	45.2709	+	52.2454i	1.61476	+	1.86353i
$787$	18.6624	+	29.0393i	0.665243	+	1.03514i	0.995818	+	0.0913591i	$0.0291211\pi$
$787$	18.6624	+	29.0393i	0.665243	+	1.03514i	−0.330575	+	0.943780i	$0.607243\pi$
$788$	6.81648	+	5.90651i	0.242827	+	0.210411i
$789$	5.88899	−	40.9588i	0.209654	−	1.45817i
$790$	33.5333	+	50.2314i	1.19306	+	1.78715i
$791$	−8.06970	−	5.18608i	−0.286925	−	0.184396i
$792$	−62.0122	+	8.91601i	−2.20351	+	0.316817i
$793$	−7.47353	+	3.41305i	−0.265393	+	0.121201i
$794$	−1.51720	−	3.32220i	−0.0538434	−	0.117901i
$795$	20.6981	+	43.3081i	0.734085	+	1.53598i
$796$	9.67775	+	6.21951i	0.343019	+	0.220445i
$797$	−0.249259	−	0.848898i	−0.00882921	−	0.0300695i	0.954961	−	0.296733i	$-0.0958970\pi$
$797$	−0.249259	−	0.848898i	−0.00882921	−	0.0300695i	−0.963790	+	0.266663i	$0.914079\pi$
$798$	1.56237	+	0.224635i	0.0553073	+	0.00795199i
$799$	−0.493100	+	0.569068i	−0.0174446	+	0.0201322i
$800$	−17.7659	−	7.37621i	−0.628121	−	0.260788i
$801$	−28.3444	−	32.7112i	−1.00150	−	1.15579i
$802$	10.4179	−	35.4803i	0.367870	−	1.25285i
$803$	−2.74293	−	1.25265i	−0.0967958	−	0.0442052i
$804$	5.45685			0.192448
$805$	6.80695	+	0.744918i	0.239913	+	0.0262549i
$806$	−27.4787			−0.967897
$807$	20.9384	+	9.56225i	0.737067	+	0.336607i
$808$	7.64017	−	26.0200i	0.268780	−	0.915382i
$809$	5.70849	+	6.58795i	0.200700	+	0.231620i	0.847174	−	0.531316i	$-0.178302\pi$
$809$	5.70849	+	6.58795i	0.200700	+	0.231620i	−0.646474	+	0.762936i	$0.723757\pi$
$810$	60.5690	+	50.6618i	2.12818	+	1.78008i
$811$	−2.71573	+	3.13412i	−0.0953622	+	0.110054i	−0.801425	−	0.598096i	$-0.795924\pi$
$811$	−2.71573	+	3.13412i	−0.0953622	+	0.110054i	0.706063	+	0.708150i	$0.250470\pi$
$812$	1.79562	+	0.258171i	0.0630139	+	0.00906003i
$813$	−10.3949	−	35.4018i	−0.364565	−	1.24159i
$814$	−54.1229	−	34.7827i	−1.89701	−	1.21913i
$815$	−13.6832	+	6.53956i	−0.479302	+	0.229071i
$816$	−8.33783	−	18.2573i	−0.291883	−	0.639134i
$817$	−0.313720	+	0.143271i	−0.0109757	+	0.00501242i
$818$	16.8282	−	2.41953i	0.588384	−	0.0845969i
$819$	12.5105	+	8.04003i	0.437153	+	0.280941i
$820$	11.5732	−	7.72603i	0.404155	−	0.269805i
$821$	2.10104	−	14.6130i	0.0733267	−	0.509999i	−0.919748	−	0.392510i	$-0.871607\pi$
$821$	2.10104	−	14.6130i	0.0733267	−	0.509999i	0.993074	−	0.117488i	$-0.0374842\pi$
$822$	58.8013	+	50.9517i	2.05093	+	1.77714i
$823$	16.9387	+	26.3572i	0.590447	+	0.918754i	0.999979	+	0.00645833i	$0.00205576\pi$
$823$	16.9387	+	26.3572i	0.590447	+	0.918754i	−0.409532	+	0.912296i	$0.634308\pi$
$824$	3.56217	+	4.11096i	0.124094	+	0.143212i
$825$	20.5821	+	62.0115i	0.716578	+	2.15896i
$826$	−2.25494	+	4.93764i	−0.0784596	+	0.171802i
$827$			8.94280i			0.310972i	0.987838	+	0.155486i	$0.0496943\pi$
$827$			8.94280i			0.310972i	−0.987838	+	0.155486i	$0.950306\pi$
$828$	−15.7981	+	18.8465i	−0.549023	+	0.654962i
$829$	6.08831			0.211456			0.105728	−	0.994395i	$-0.466283\pi$
$829$	6.08831			0.211456			0.105728	+	0.994395i	$0.466283\pi$
$830$	4.80370	−	38.1166i	0.166739	−	1.32305i
$831$	68.1837	+	20.0205i	2.36527	+	0.694505i
$832$	−8.53033	+	7.39157i	−0.295736	+	0.256257i
$833$	4.55199	+	7.08303i	0.157717	+	0.245412i
$834$	−16.3347	+	18.8513i	−0.565626	+	0.652767i
$835$	−2.89163	+	0.467344i	−0.100069	+	0.0161731i
$836$	−1.30879	+	0.384295i	−0.0452654	+	0.0132911i
$837$	−37.7144	+	58.6848i	−1.30360	+	2.02844i
$838$	44.0095	−	6.32761i	1.52028	−	0.218584i
$839$	−3.47954	−	7.61913i	−0.120127	−	0.263042i	0.840010	−	0.542571i	$-0.182549\pi$
$839$	−3.47954	−	7.61913i	−0.120127	−	0.263042i	−0.960137	+	0.279529i	$0.909822\pi$
$840$	−7.21176	+	6.47256i	−0.248830	+	0.223325i
$841$	1.85097	+	12.8737i	0.0638264	+	0.443922i
$842$	18.2866	−	28.4545i	0.630198	−	0.980607i
$843$	−22.2188	−	75.6702i	−0.765255	−	2.60622i
$844$	2.61573	−	18.1928i	0.0900371	−	0.626222i
$845$	−2.31387	+	5.30974i	−0.0795996	+	0.182660i
$846$	−5.89402	+	3.78785i	−0.202640	+	0.130229i
$847$	2.75611	−	2.38818i	0.0947010	−	0.0820589i
$848$	9.30090	−	31.6760i	0.319394	−	1.08776i
$849$	0.483813	−	1.05940i	0.0166044	−	0.0363586i
$850$	−8.64090	+	5.98884i	−0.296380	+	0.205415i
$851$	45.2662	−	7.26621i	1.55171	−	0.249082i
$852$		−	18.9385i		−	0.648821i
$853$	−51.7952	−	23.6541i	−1.77343	−	0.809900i	−0.979373	−	0.202062i	$-0.935236\pi$
$853$	−51.7952	−	23.6541i	−1.77343	−	0.809900i	−0.794061	−	0.607838i	$-0.792037\pi$
$854$	2.56854	+	0.754191i	0.0878936	+	0.0258079i
$855$	−6.44848	−	3.98707i	−0.220533	−	0.136355i
$856$	4.84599	−	3.11433i	0.165633	−	0.106446i
$857$	31.7900	+	27.5462i	1.08593	+	0.940961i	0.998475	−	0.0552073i	$-0.0175820\pi$
$857$	31.7900	+	27.5462i	1.08593	+	0.940961i	0.0874524	+	0.996169i	$0.472127\pi$
$858$	−68.7048	−	9.87827i	−2.34554	−	0.337238i
$859$	30.3932	−	8.92424i	1.03700	−	0.304491i	0.281447	−	0.959577i	$-0.409186\pi$
$859$	30.3932	−	8.92424i	1.03700	−	0.304491i	0.755554	+	0.655086i	$0.227368\pi$
$860$	−0.309034	+	1.12464i	−0.0105380	+	0.0383500i
$861$	−2.54472	−	17.6989i	−0.0867239	−	0.603178i
$862$	33.0451	−	15.0912i	1.12552	−	0.514008i
$863$	4.83808	−	2.20948i	0.164690	−	0.0752115i	−0.331364	−	0.943503i	$-0.607509\pi$
$863$	4.83808	−	2.20948i	0.164690	−	0.0752115i	0.496054	+	0.868291i	$0.334782\pi$
$864$	−7.38313	−	51.3508i	−0.251179	−	1.74699i
$865$	0.325610	−	1.18497i	0.0110711	−	0.0402901i
$866$	4.15724	−	1.22068i	0.141269	−	0.0414802i
$867$	48.6281	+	6.99166i	1.65150	+	0.237449i
$868$	1.77346	+	1.53671i	0.0601950	+	0.0521593i
$869$	−56.4208	+	36.2594i	−1.91394	+	1.23002i
$870$	−40.0284	−	24.7494i	−1.35709	−	0.839085i
$871$	−7.43910	−	2.18432i	−0.252064	−	0.0740128i
$872$	14.3653	+	6.56041i	0.486470	+	0.222163i
$873$		−	46.5569i		−	1.57571i
$874$	1.95370	−	3.15227i	0.0660850	−	0.106627i
$875$	5.63241	+	4.38666i	0.190410	+	0.148296i
$876$	0.695841	−	1.52368i	0.0235103	−	0.0514803i
$877$	15.6402	−	53.2658i	0.528133	−	1.79866i	−0.0703508	−	0.997522i	$-0.522412\pi$
$877$	15.6402	−	53.2658i	0.528133	−	1.79866i	0.598484	−	0.801135i	$-0.295770\pi$
$878$	−33.0663	+	28.6521i	−1.11593	+	0.966962i
$879$	−58.2260	+	37.4196i	−1.96391	+	1.26213i
$880$	17.9524	−	41.1961i	0.605175	−	1.38872i
$881$	4.81175	−	33.4665i	0.162112	−	1.12751i	−0.732531	−	0.680733i	$-0.761661\pi$
$881$	4.81175	−	33.4665i	0.162112	−	1.12751i	0.894643	−	0.446781i	$-0.147430\pi$
$882$	22.0713	+	75.1678i	0.743178	+	2.53103i
$883$	14.4125	−	22.4263i	0.485020	−	0.754706i	−0.509362	−	0.860552i	$-0.670119\pi$
$883$	14.4125	−	22.4263i	0.485020	−	0.754706i	0.994383	+	0.105846i	$0.0337550\pi$
$884$	−0.416600	−	2.89752i	−0.0140118	−	0.0974541i
$885$	27.4679	−	24.6525i	0.923325	−	0.828685i
$886$	11.0552	+	24.2075i	0.371407	+	0.813267i
$887$	−29.5701	+	4.25154i	−0.992868	+	0.142753i	−0.619556	−	0.784953i	$-0.712687\pi$
$887$	−29.5701	+	4.25154i	−0.992868	+	0.142753i	−0.373312	+	0.927706i	$0.621778\pi$
$888$	−35.0761	+	54.5794i	−1.17708	+	1.83157i
$889$	−5.59444	+	1.64268i	−0.187631	+	0.0550936i
$890$	21.7911	−	3.52187i	0.730440	−	0.118053i
$891$	−57.4221	+	66.2686i	−1.92371	+	2.22008i
$892$	−0.957932	−	1.49057i	−0.0320739	−	0.0499080i
$893$	0.209285	−	0.181347i	0.00700347	−	0.00606854i
$894$	78.5567	+	23.0663i	2.62733	+	0.771454i
$895$	1.77215	−	14.0618i	0.0592366	−	0.470033i
$896$	8.59095			0.287003
$897$	41.1672	−	27.4187i	1.37453	−	0.915483i
$898$			45.8901i			1.53137i
$899$	8.59450	−	18.8193i	0.286643	−	0.627660i
$900$	−24.3337	+	8.07657i	−0.811124	+	0.269219i
$901$	−5.61657	−	6.48187i	−0.187115	−	0.215942i
$902$	31.8742	+	49.5972i	1.06129	+	1.65140i
$903$	1.13267	+	0.981461i	0.0376928	+	0.0326610i
$904$	4.53908	−	31.5700i	0.150968	−	1.05000i
$905$	4.76739	−	3.18260i	0.158473	−	0.105793i
$906$	3.75090	+	2.41056i	0.124615	+	0.0800853i
$907$	4.23567	−	0.608997i	0.140643	−	0.0202214i	−0.0716337	−	0.997431i	$-0.522821\pi$
$907$	4.23567	−	0.608997i	0.140643	−	0.0202214i	0.212277	+	0.977210i	$0.431912\pi$
$908$	−3.47644	+	1.58764i	−0.115370	+	0.0526876i
$909$	−38.3012	−	83.8679i	−1.27037	−	2.78172i
$910$	−6.84284	+	3.27038i	−0.226838	+	0.108412i
$911$	10.3673	+	6.66263i	0.343483	+	0.220743i	0.700996	−	0.713165i	$-0.252739\pi$
$911$	10.3673	+	6.66263i	0.343483	+	0.220743i	−0.357514	+	0.933908i	$0.616375\pi$
$912$	2.07961	+	7.08251i	0.0688629	+	0.234525i
$913$	42.2277	+	6.07142i	1.39753	+	0.200935i
$914$	−34.1096	+	39.3646i	−1.12825	+	1.30207i
$915$	−13.9618	−	11.6781i	−0.461562	−	0.386065i
$916$	4.18710	+	4.83217i	0.138346	+	0.159659i
$917$	−2.36314	+	8.04812i	−0.0780378	+	0.265772i
$918$	−25.7914	−	11.7786i	−0.851244	−	0.388750i
$919$	−27.5906			−0.910129			−0.455064	−	0.890459i	$-0.650384\pi$
$919$	−27.5906			−0.910129			−0.455064	+	0.890459i	$0.650384\pi$
$920$	7.14904	+	21.6165i	0.235697	+	0.712675i
$921$	−48.8511			−1.60970
$922$	−31.9345	−	14.5840i	−1.05171	−	0.480299i
$923$	−7.58086	+	25.8180i	−0.249527	+	0.849811i
$924$	3.88173	+	4.47975i	0.127699	+	0.147373i
$925$	44.1438	+	18.3280i	1.45144	+	0.602621i
$926$	−24.7891	+	28.6081i	−0.814619	+	0.940121i
$927$	18.3057	+	2.63196i	0.601237	+	0.0864449i
$928$	4.33478	+	14.7629i	0.142296	+	0.484616i
$929$	11.3678	+	7.30566i	0.372966	+	0.239691i	0.713673	−	0.700479i	$-0.247030\pi$
$929$	11.3678	+	7.30566i	0.372966	+	0.239691i	−0.340707	+	0.940169i	$0.610666\pi$
$930$	−26.2507	−	54.9263i	−0.860796	−	1.80111i
$931$	−1.28632	−	2.81665i	−0.0421574	−	0.0923118i
$932$	3.33360	−	1.52240i	0.109196	−	0.0498680i
$933$	10.9969	−	1.58111i	0.360022	−	0.0517633i
$934$	54.8951	+	35.2789i	1.79622	+	1.15436i
$935$	−6.48209	−	9.70987i	−0.211987	−	0.317547i
$936$	−7.03698	+	48.9433i	−0.230011	+	1.59976i
$937$	−36.8543	−	31.9344i	−1.20398	−	1.04325i	−0.997904	−	0.0647155i	$-0.979386\pi$
$937$	−36.8543	−	31.9344i	−1.20398	−	1.04325i	−0.206073	−	0.978537i	$-0.566069\pi$
$938$	1.36575	+	2.12515i	0.0445934	+	0.0693887i
$939$	−38.9153	−	44.9106i	−1.26995	−	1.46560i
$940$	−0.0163263	−	0.936354i	−0.000532504	−	0.0305405i
$941$	−18.6918	+	40.9292i	−0.609334	+	1.33425i	0.313695	+	0.949524i	$0.398433\pi$
$941$	−18.6918	+	40.9292i	−0.609334	+	1.33425i	−0.923029	+	0.384731i	$0.874294\pi$
$942$		−	44.1647i		−	1.43896i
$943$	−40.4986	−	11.1750i	−1.31882	−	0.363907i
$944$	−25.3847			−0.826202
$945$	−2.40741	+	19.1025i	−0.0783132	+	0.621403i
$946$	−4.74139	−	1.39220i	−0.154156	−	0.0452642i
$947$	3.88956	−	3.37033i	0.126394	−	0.109521i	−0.589370	−	0.807863i	$-0.700624\pi$
$947$	3.88956	−	3.37033i	0.126394	−	0.109521i	0.715764	+	0.698342i	$0.246079\pi$
$948$	−20.1419	−	31.3414i	−0.654177	−	1.01792i
$949$	−1.55852	+	1.79863i	−0.0505918	+	0.0583860i
$950$	3.45895	−	1.72783i	0.112223	−	0.0560583i
$951$	−56.1207	+	16.4785i	−1.81984	+	0.534353i
$952$	0.936119	−	1.45663i	0.0303398	−	0.0472097i
$953$	−12.3212	+	1.77151i	−0.399121	+	0.0573850i	−0.338953	−	0.940803i	$-0.610073\pi$
$953$	−12.3212	+	1.77151i	−0.399121	+	0.0573850i	−0.0601682	+	0.998188i	$0.519164\pi$
$954$	−33.1515	−	72.5916i	−1.07332	−	2.35024i
$955$	29.0989	+	32.4221i	0.941617	+	1.04915i
$956$	0.432653	+	3.00917i	0.0139930	+	0.0973234i
$957$	28.2541	−	43.9642i	0.913324	−	1.42116i
$958$	2.68198	+	9.13400i	0.0866509	+	0.295106i
$959$	−1.34351	+	9.34434i	−0.0433843	+	0.301744i
$960$	−22.9239	−	9.98975i	−0.739866	−	0.322418i
$961$	−3.56499	+	2.29108i	−0.115000	+	0.0739058i
$962$	−38.3749	+	33.2521i	−1.23726	+	1.07209i
$963$	5.51768	−	18.7915i	0.177805	−	0.605548i
$964$	6.28972	−	13.7726i	0.202578	−	0.443585i
$965$	7.88812	+	25.2288i	0.253928	+	0.812144i
$966$	−15.9874	−	2.03222i	−0.514387	−	0.0653855i
$967$		−	14.8332i		−	0.477004i	−0.971142	−	0.238502i	$-0.923344\pi$
$967$		−	14.8332i		−	0.477004i	0.971142	−	0.238502i	$-0.0766563\pi$
$968$	11.0299	+	5.03719i	0.354515	+	0.161901i
$969$	1.84002	+	0.540278i	0.0591099	+	0.0173562i
$970$	20.1950	+	12.4865i	0.648424	+	0.400918i
$971$	40.8875	−	26.2768i	1.31214	−	0.843263i	0.317664	−	0.948203i	$-0.397101\pi$
$971$	40.8875	−	26.2768i	1.31214	−	0.843263i	0.994479	+	0.104940i	$0.0334651\pi$
$972$	−15.0933	−	13.0785i	−0.484119	−	0.419492i
$973$	−2.99573	−	0.430721i	−0.0960386	−	0.0138083i
$974$	25.5226	−	7.49412i	0.817798	−	0.240127i
$975$	51.5367	−	1.79773i	1.65050	−	0.0575736i
$976$	1.78161	+	12.3914i	0.0570280	+	0.396639i
$977$	−27.7315	+	12.6646i	−0.887210	+	0.405175i	−0.806273	−	0.591544i	$-0.798519\pi$
$977$	−27.7315	+	12.6646i	−0.887210	+	0.405175i	−0.0809371	+	0.996719i	$0.525791\pi$
$978$	32.4674	−	14.8274i	1.03819	−	0.474126i
$979$	3.48845	+	24.2627i	0.111491	+	0.775440i
$980$	−10.0973	−	2.77457i	−0.322546	−	0.0886305i
$981$	51.5174	−	15.1269i	1.64483	−	0.482964i
$982$	−41.0883	−	5.90761i	−1.31118	−	0.188519i
$983$	−14.2083	−	12.3116i	−0.453176	−	0.392679i	0.398147	−	0.917322i	$-0.369653\pi$
$983$	−14.2083	−	12.3116i	−0.453176	−	0.392679i	−0.851323	+	0.524643i	$0.824199\pi$
$984$	50.0155	−	32.1430i	1.59444	−	1.02468i
$985$	14.9304	−	24.1477i	0.475723	−	0.769409i
$986$	8.06847	+	2.36912i	0.256952	+	0.0754480i
$987$	−1.09465	−	0.499909i	−0.0348431	−	0.0159123i
$988$			1.07657i			0.0342504i
$989$	3.17876	−	1.51504i	0.101079	−	0.0481754i
$990$	−32.4166	−	103.679i	−1.03027	−	3.29514i
$991$	−17.6204	+	38.5833i	−0.559730	+	1.22564i	0.392357	+	0.919813i	$0.371660\pi$
$991$	−17.6204	+	38.5833i	−0.559730	+	1.22564i	−0.952088	+	0.305826i	$0.901068\pi$
$992$	−5.60727	+	19.0966i	−0.178031	+	0.606318i
$993$	−17.9845	+	15.5837i	−0.570722	+	0.494534i
$994$	7.37552	−	4.73996i	0.233937	−	0.150342i
$995$	14.4661	−	33.1959i	0.458606	−	1.05238i
$996$	−3.37264	+	23.4572i	−0.106866	+	0.743270i
$997$	−8.99299	−	30.6273i	−0.284811	−	0.969977i	−0.970302	−	0.241896i	$-0.922231\pi$
$997$	−8.99299	−	30.6273i	−0.284811	−	0.969977i	0.685491	−	0.728081i	$-0.259587\pi$
$998$	9.34307	−	14.5381i	0.295750	−	0.460196i
$999$	18.3452	+	127.594i	0.580416	+	4.03688i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	115.2.j.a.29.8	yes	100
5.2	odd	4		575.2.k.g.351.3		100
5.3	odd	4		575.2.k.g.351.8		100
5.4	even	2	inner	115.2.j.a.29.3	yes	100
23.4	even	11	inner	115.2.j.a.4.3	✓	100
115.4	even	22	inner	115.2.j.a.4.8	yes	100
115.27	odd	44		575.2.k.g.326.3		100
115.73	odd	44		575.2.k.g.326.8		100

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
115.2.j.a.4.3	✓	100	23.4	even	11	inner
115.2.j.a.4.8	yes	100	115.4	even	22	inner
115.2.j.a.29.3	yes	100	5.4	even	2	inner
115.2.j.a.29.8	yes	100	1.1	even	1	trivial
575.2.k.g.326.3		100	115.27	odd	44
575.2.k.g.326.8		100	115.73	odd	44
575.2.k.g.351.3		100	5.2	odd	4
575.2.k.g.351.8		100	5.3	odd	4

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:	\( N \)	\(=\)	\( 115 = 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	115.j (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(1.49755 + 0.683908i) q^{2} +(-0.900592 + 3.06714i) q^{3} +(0.465201 + 0.536871i) q^{4} +(1.43463 - 1.71518i) q^{5} +(-3.44632 + 3.97726i) q^{6} +(-0.632042 - 0.0908739i) q^{7} +(-0.598154 - 2.03713i) q^{8} +(-6.07249 - 3.90255i) q^{9} +O(q^{10})\)	\(q+(1.49755 + 0.683908i) q^{2} +(-0.900592 + 3.06714i) q^{3} +(0.465201 + 0.536871i) q^{4} +(1.43463 - 1.71518i) q^{5} +(-3.44632 + 3.97726i) q^{6} +(-0.632042 - 0.0908739i) q^{7} +(-0.598154 - 2.03713i) q^{8} +(-6.07249 - 3.90255i) q^{9} +(3.32145 - 1.58741i) q^{10} +(1.69819 + 3.71852i) q^{11} +(-2.06561 + 0.943334i) q^{12} +(3.19357 - 0.459166i) q^{13} +(-0.884364 - 0.568346i) q^{14} +(3.96867 + 5.94488i) q^{15} +(0.699637 - 4.86608i) q^{16} +(-0.965240 - 0.836385i) q^{17} +(-6.42487 - 9.99729i) q^{18} +(0.307596 + 0.354985i) q^{19} +(1.58822 - 0.0276922i) q^{20} +(0.847934 - 1.85672i) q^{21} +6.73007i q^{22} +(-3.19949 - 3.57257i) q^{23} +6.78684 q^{24} +(-0.883674 - 4.92129i) q^{25} +(5.09656 + 1.49648i) q^{26} +(10.1910 - 8.83052i) q^{27} +(-0.245239 - 0.381599i) q^{28} +(-2.61894 + 3.02242i) q^{29} +(1.87753 + 11.6170i) q^{30} +(-4.96368 + 1.45747i) q^{31} +(2.07999 - 3.23653i) q^{32} +(-12.9346 + 1.85971i) q^{33} +(-0.873484 - 1.91266i) q^{34} +(-1.06261 + 0.953694i) q^{35} +(-0.729764 - 5.07562i) q^{36} +(-5.16825 + 8.04195i) q^{37} +(0.217863 + 0.741974i) q^{38} +(-1.46778 + 10.2086i) q^{39} +(-4.35217 - 1.89658i) q^{40} +(7.36949 - 4.73608i) q^{41} +(2.53965 - 2.20062i) q^{42} +(-0.206862 + 0.704508i) q^{43} +(-1.20636 + 2.64157i) q^{44} +(-15.4054 + 4.81669i) q^{45} +(-2.34808 - 7.53826i) q^{46} -0.589562i q^{47} +(14.2948 + 6.52824i) q^{48} +(-6.32523 - 1.85726i) q^{49} +(2.04236 - 7.97423i) q^{50} +(3.43459 - 2.20728i) q^{51} +(1.73217 + 1.50093i) q^{52} +(6.64695 + 0.955686i) q^{53} +(21.3007 - 6.25446i) q^{54} +(8.81420 + 2.42200i) q^{55} +(0.192937 + 1.34191i) q^{56} +(-1.36581 + 0.623742i) q^{57} +(-5.98905 + 2.73511i) q^{58} +(-0.734852 - 5.11101i) q^{59} +(-1.34540 + 4.89623i) q^{60} +(-2.44333 + 0.717427i) q^{61} +(-8.43012 - 1.21207i) q^{62} +(3.48343 + 3.01841i) q^{63} +(-2.94303 + 1.89137i) q^{64} +(3.79404 - 6.13628i) q^{65} +(-20.6420 - 6.06105i) q^{66} +(-2.18587 - 0.998254i) q^{67} -0.907297i q^{68} +(13.8390 - 6.59584i) q^{69} +(-2.24355 + 0.701475i) q^{70} +(-3.46453 + 7.58626i) q^{71} +(-4.31771 + 14.7048i) q^{72} +(-0.557471 + 0.483051i) q^{73} +(-13.2397 + 8.50861i) q^{74} +(15.8901 + 1.72173i) q^{75} +(-0.0474869 + 0.330279i) q^{76} +(-0.735411 - 2.50458i) q^{77} +(-9.17984 + 14.2841i) q^{78} +(2.33484 + 16.2392i) q^{79} +(-7.34248 - 8.18103i) q^{80} +(8.91062 + 19.5115i) q^{81} +(14.2752 - 2.05247i) q^{82} +(5.64215 - 8.77936i) q^{83} +(1.39128 - 0.408516i) q^{84} +(-2.81931 + 0.455656i) q^{85} +(-0.791605 + 0.913560i) q^{86} +(-6.91157 - 10.7546i) q^{87} +(6.55931 - 5.68368i) q^{88} +(5.75334 + 1.68933i) q^{89} +(-26.3644 - 3.32261i) q^{90} -2.06020 q^{91} +(0.429603 - 3.37968i) q^{92} -16.5368i q^{93} +(0.403206 - 0.882897i) q^{94} +(1.05015 - 0.0183104i) q^{95} +(8.05365 + 9.29441i) q^{96} +(3.48701 + 5.42589i) q^{97} +(-8.20215 - 7.10721i) q^{98} +(4.19947 - 29.2080i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 100 q - 14 q^{4} - 9 q^{5} - 18 q^{6} - 12 q^{9}+O(q^{10}) \) 100 * q - 14 * q^4 - 9 * q^5 - 18 * q^6 - 12 * q^9	\( 100 q - 14 q^{4} - 9 q^{5} - 18 q^{6} - 12 q^{9} - 13 q^{10} - 26 q^{11} - 26 q^{14} - 10 q^{15} - 18 q^{16} - 14 q^{19} + 49 q^{20} - 22 q^{21} - 68 q^{24} + 21 q^{25} - 42 q^{26} - 24 q^{29} + 19 q^{30} - 12 q^{31} + 8 q^{34} - 37 q^{35} - 10 q^{36} + 14 q^{39} - q^{40} + 8 q^{41} + 166 q^{44} - 42 q^{45} - 18 q^{46} + 32 q^{49} - 23 q^{50} - 22 q^{51} + 116 q^{54} + 27 q^{55} - 116 q^{56} + 50 q^{59} + 123 q^{60} - 38 q^{61} + 10 q^{64} + 76 q^{65} - 28 q^{66} + 80 q^{69} + 102 q^{70} - 110 q^{71} + 22 q^{74} + 6 q^{75} + 4 q^{76} + 42 q^{79} + 18 q^{80} + 204 q^{81} + 56 q^{84} - 121 q^{85} + 132 q^{86} - 66 q^{89} - 198 q^{90} + 76 q^{91} - 70 q^{94} - 74 q^{95} + 236 q^{96} - 60 q^{99}+O(q^{100}) \) 100 * q - 14 * q^4 - 9 * q^5 - 18 * q^6 - 12 * q^9 - 13 * q^10 - 26 * q^11 - 26 * q^14 - 10 * q^15 - 18 * q^16 - 14 * q^19 + 49 * q^20 - 22 * q^21 - 68 * q^24 + 21 * q^25 - 42 * q^26 - 24 * q^29 + 19 * q^30 - 12 * q^31 + 8 * q^34 - 37 * q^35 - 10 * q^36 + 14 * q^39 - q^40 + 8 * q^41 + 166 * q^44 - 42 * q^45 - 18 * q^46 + 32 * q^49 - 23 * q^50 - 22 * q^51 + 116 * q^54 + 27 * q^55 - 116 * q^56 + 50 * q^59 + 123 * q^60 - 38 * q^61 + 10 * q^64 + 76 * q^65 - 28 * q^66 + 80 * q^69 + 102 * q^70 - 110 * q^71 + 22 * q^74 + 6 * q^75 + 4 * q^76 + 42 * q^79 + 18 * q^80 + 204 * q^81 + 56 * q^84 - 121 * q^85 + 132 * q^86 - 66 * q^89 - 198 * q^90 + 76 * q^91 - 70 * q^94 - 74 * q^95 + 236 * q^96 - 60 * q^99

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