LMFDB - Embedded newform 232.2.o.a.109.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [232,2,Mod(5,232)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(232, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([0, 7, 11]))

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

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

chi := DirichletCharacter("232.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 232 = 2^{3} \cdot 29 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	232.o (of order $14$, degree $6$, 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:	$1.85252932689$
Analytic rank:	$0$
Dimension:	$168$
Relative dimension:	$28$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			109.9
Character	$\chi$	$=$	232.109
Dual form			232.2.o.a.149.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.907590 + 1.08456i) q^{2} +(-2.14902 - 1.03491i) q^{3} +(-0.352562 - 1.96868i) q^{4} +(-3.03559 + 0.692853i) q^{5} +(3.07285 - 1.39147i) q^{6} +(0.547094 + 0.263466i) q^{7} +(2.45514 + 1.40438i) q^{8} +(1.67676 + 2.10259i) q^{9} +O(q^{10})$	\(q+(-0.907590 + 1.08456i) q^{2} +(-2.14902 - 1.03491i) q^{3} +(-0.352562 - 1.96868i) q^{4} +(-3.03559 + 0.692853i) q^{5} +(3.07285 - 1.39147i) q^{6} +(0.547094 + 0.263466i) q^{7} +(2.45514 + 1.40438i) q^{8} +(1.67676 + 2.10259i) q^{9} +(2.00362 - 3.92112i) q^{10} +(1.20894 - 1.51597i) q^{11} +(-1.27975 + 4.59559i) q^{12} +(4.76376 + 3.79897i) q^{13} +(-0.782283 + 0.354239i) q^{14} +(7.24056 + 1.65261i) q^{15} +(-3.75140 + 1.38816i) q^{16} +1.48643i q^{17} +(-3.80220 - 0.0897347i) q^{18} +(5.08663 - 2.44959i) q^{19} +(2.43424 + 5.73182i) q^{20} +(-0.903048 - 1.13239i) q^{21} +(0.546939 + 2.68705i) q^{22} +(0.367850 - 1.61165i) q^{23} +(-3.82273 - 5.55888i) q^{24} +(4.22990 - 2.03701i) q^{25} +(-8.44377 + 1.71870i) q^{26} +(0.164903 + 0.722487i) q^{27} +(0.325797 - 1.16994i) q^{28} +(-4.72294 + 2.58725i) q^{29} +(-8.36383 + 6.35297i) q^{30} +(2.09860 - 0.478992i) q^{31} +(1.89918 - 5.32852i) q^{32} +(-4.16693 + 2.00669i) q^{33} +(-1.61213 - 1.34907i) q^{34} +(-1.84329 - 0.420720i) q^{35} +(3.54816 - 4.04229i) q^{36} +(3.22095 + 4.03894i) q^{37} +(-1.95983 + 7.74000i) q^{38} +(-6.30580 - 13.0941i) q^{39} +(-8.42582 - 2.56206i) q^{40} +4.90580i q^{41} +(2.04774 + 0.0483283i) q^{42} +(1.95156 - 8.55033i) q^{43} +(-3.41068 - 1.84555i) q^{44} +(-6.54672 - 5.22084i) q^{45} +(1.41409 + 1.86168i) q^{46} +(9.25922 + 7.38398i) q^{47} +(9.49844 + 0.899186i) q^{48} +(-4.13453 - 5.18454i) q^{49} +(-1.62974 + 6.43637i) q^{50} +(1.53832 - 3.19436i) q^{51} +(5.79944 - 10.7177i) q^{52} +(7.00349 - 1.59850i) q^{53} +(-0.933248 - 0.476874i) q^{54} +(-2.61951 + 5.43947i) q^{55} +(0.973186 + 1.41517i) q^{56} -13.4663 q^{57} +(1.48045 - 7.47049i) q^{58} -7.85803i q^{59} +(0.700719 - 14.8370i) q^{60} +(10.2833 + 4.95217i) q^{61} +(-1.38517 + 2.71080i) q^{62} +(0.363382 + 1.59208i) q^{63} +(4.05545 + 6.89589i) q^{64} +(-17.0929 - 8.23152i) q^{65} +(1.60548 - 6.34055i) q^{66} +(-10.2352 + 8.16230i) q^{67} +(2.92630 - 0.524058i) q^{68} +(-2.45843 + 3.08278i) q^{69} +(2.12925 - 1.61733i) q^{70} +(1.20318 - 1.50873i) q^{71} +(1.16385 + 7.51695i) q^{72} +(10.2843 + 2.34732i) q^{73} +(-7.30379 - 0.172375i) q^{74} -11.1982 q^{75} +(-6.61581 - 9.15031i) q^{76} +(1.06081 - 0.510860i) q^{77} +(19.9245 + 5.04505i) q^{78} +(-6.98171 + 5.56772i) q^{79} +(10.4259 - 6.81305i) q^{80} +(2.18861 - 9.58895i) q^{81} +(-5.32065 - 4.45245i) q^{82} +(5.24379 + 10.8888i) q^{83} +(-1.91093 + 2.17705i) q^{84} +(-1.02988 - 4.51218i) q^{85} +(7.50218 + 9.87679i) q^{86} +(12.8272 - 0.672213i) q^{87} +(5.09712 - 2.02410i) q^{88} +(6.57857 - 1.50152i) q^{89} +(11.6041 - 2.36197i) q^{90} +(1.60532 + 3.33348i) q^{91} +(-3.30252 - 0.155971i) q^{92} +(-5.00564 - 1.14250i) q^{93} +(-16.4120 + 3.34060i) q^{94} +(-13.7437 + 10.9602i) q^{95} +(-9.59592 + 9.48558i) q^{96} +(-2.45983 - 5.10790i) q^{97} +(9.37543 + 0.221267i) q^{98} +5.21455 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q - 7 q^{2} - 3 q^{4} - 7 q^{6} - 6 q^{7} - 28 q^{8} - 34 q^{9}+O(q^{10}) $ 168 * q - 7 * q^2 - 3 * q^4 - 7 * q^6 - 6 * q^7 - 28 * q^8 - 34 * q^9	$ 168 q - 7 q^{2} - 3 q^{4} - 7 q^{6} - 6 q^{7} - 28 q^{8} - 34 q^{9} - 7 q^{10} - 7 q^{14} - 14 q^{15} + 5 q^{16} - 56 q^{18} - 27 q^{20} - 12 q^{22} - 6 q^{23} + 9 q^{24} + 14 q^{25} - 7 q^{26} + 16 q^{28} - 22 q^{30} - 14 q^{31} - 42 q^{32} + 2 q^{33} - 5 q^{34} + 4 q^{36} + 58 q^{38} + 70 q^{39} - 7 q^{40} - 32 q^{42} - 14 q^{44} - 14 q^{47} - 84 q^{48} - 26 q^{49} + 42 q^{50} + 16 q^{52} + 40 q^{54} - 14 q^{55} - 7 q^{56} - 12 q^{57} + 53 q^{58} - 126 q^{60} + 57 q^{62} + 50 q^{63} - 30 q^{64} - 60 q^{65} + 133 q^{66} - 28 q^{68} - 46 q^{71} - 119 q^{72} - 84 q^{73} - 40 q^{74} - 77 q^{76} + 29 q^{78} - 154 q^{79} + 66 q^{80} - 26 q^{81} - 48 q^{82} + 63 q^{84} - 32 q^{86} - 46 q^{87} - 10 q^{88} - 14 q^{89} + 140 q^{90} + 20 q^{92} - 26 q^{94} - 14 q^{95} + 136 q^{96} + 28 q^{98}+O(q^{100}) $ 168 * q - 7 * q^2 - 3 * q^4 - 7 * q^6 - 6 * q^7 - 28 * q^8 - 34 * q^9 - 7 * q^10 - 7 * q^14 - 14 * q^15 + 5 * q^16 - 56 * q^18 - 27 * q^20 - 12 * q^22 - 6 * q^23 + 9 * q^24 + 14 * q^25 - 7 * q^26 + 16 * q^28 - 22 * q^30 - 14 * q^31 - 42 * q^32 + 2 * q^33 - 5 * q^34 + 4 * q^36 + 58 * q^38 + 70 * q^39 - 7 * q^40 - 32 * q^42 - 14 * q^44 - 14 * q^47 - 84 * q^48 - 26 * q^49 + 42 * q^50 + 16 * q^52 + 40 * q^54 - 14 * q^55 - 7 * q^56 - 12 * q^57 + 53 * q^58 - 126 * q^60 + 57 * q^62 + 50 * q^63 - 30 * q^64 - 60 * q^65 + 133 * q^66 - 28 * q^68 - 46 * q^71 - 119 * q^72 - 84 * q^73 - 40 * q^74 - 77 * q^76 + 29 * q^78 - 154 * q^79 + 66 * q^80 - 26 * q^81 - 48 * q^82 + 63 * q^84 - 32 * q^86 - 46 * q^87 - 10 * q^88 - 14 * q^89 + 140 * q^90 + 20 * q^92 - 26 * q^94 - 14 * q^95 + 136 * q^96 + 28 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/232\mathbb{Z}\right)^\times$.

$n$	$89$	$117$	$175$
$\chi(n)$	$e\left(\frac{13}{14}\right)$	$-1$	$1$

Coefficient data

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

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

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

$2$	−0.907590	+	1.08456i	−0.641763	+	0.766903i
$2$	−0.907590	+	1.08456i	−0.641763	+	0.766903i
$3$	−2.14902	−	1.03491i	−1.24073	−	0.597506i	−0.305722	−	0.952121i	$-0.598898\pi$
$3$	−2.14902	−	1.03491i	−1.24073	−	0.597506i	−0.935013	+	0.354614i	$0.884612\pi$
$4$	−0.352562	−	1.96868i	−0.176281	−	0.984340i
$5$	−3.03559	+	0.692853i	−1.35756	+	0.309853i	−0.838507	−	0.544891i	$-0.816571\pi$
$5$	−3.03559	+	0.692853i	−1.35756	+	0.309853i	−0.519049	+	0.854745i	$0.673714\pi$
$6$	3.07285	−	1.39147i	1.25449	−	0.568066i
$7$	0.547094	+	0.263466i	0.206782	+	0.0995810i	0.534408	−	0.845226i	$-0.320534\pi$
$7$	0.547094	+	0.263466i	0.206782	+	0.0995810i	−0.327626	+	0.944807i	$0.606249\pi$
$8$	2.45514	+	1.40438i	0.868024	+	0.496523i
$9$	1.67676	+	2.10259i	0.558919	+	0.700862i
$10$	2.00362	−	3.92112i	0.633601	−	1.23997i
$11$	1.20894	−	1.51597i	0.364510	−	0.457081i	−0.565428	−	0.824798i	$-0.691289\pi$
$11$	1.20894	−	1.51597i	0.364510	−	0.457081i	0.929938	+	0.367717i	$0.119860\pi$
$12$	−1.27975	+	4.59559i	−0.369432	+	1.32663i
$13$	4.76376	+	3.79897i	1.32123	+	1.05365i	0.994077	+	0.108674i	$0.0346603\pi$
$13$	4.76376	+	3.79897i	1.32123	+	1.05365i	0.327152	+	0.944972i	$0.393911\pi$
$14$	−0.782283	+	0.354239i	−0.209074	+	0.0946744i
$15$	7.24056	+	1.65261i	1.86951	+	0.426702i
$16$	−3.75140	+	1.38816i	−0.937850	+	0.347040i
$17$			1.48643i			0.360512i	0.983620	+	0.180256i	$0.0576926\pi$
$17$			1.48643i			0.360512i	−0.983620	+	0.180256i	$0.942307\pi$
$18$	−3.80220	−	0.0897347i	−0.896187	−	0.0211507i
$19$	5.08663	−	2.44959i	1.16695	−	0.561974i	0.252869	−	0.967501i	$-0.418626\pi$
$19$	5.08663	−	2.44959i	1.16695	−	0.561974i	0.914083	+	0.405526i	$0.132912\pi$
$20$	2.43424	+	5.73182i	0.544312	+	1.28168i
$21$	−0.903048	−	1.13239i	−0.197061	−	0.247107i
$22$	0.546939	+	2.68705i	0.116608	+	0.572881i
$23$	0.367850	−	1.61165i	0.0767020	−	0.336053i	−0.921988	−	0.387218i	$-0.873436\pi$
$23$	0.367850	−	1.61165i	0.0767020	−	0.336053i	0.998690	+	0.0511646i	$0.0162933\pi$
$24$	−3.82273	−	5.55888i	−0.780312	−	1.13470i
$25$	4.22990	−	2.03701i	0.845979	−	0.407402i
$26$	−8.44377	+	1.71870i	−1.65596	+	0.337064i
$27$	0.164903	+	0.722487i	0.0317356	+	0.139043i
$28$	0.325797	−	1.16994i	0.0615698	−	0.221098i
$29$	−4.72294	+	2.58725i	−0.877028	+	0.480440i
$29$	−4.72294	+	2.58725i	−0.877028	+	0.480440i
$30$	−8.36383	+	6.35297i	−1.52702	+	1.15989i
$31$	2.09860	−	0.478992i	0.376920	−	0.0860295i	−0.0298640	−	0.999554i	$-0.509507\pi$
$31$	2.09860	−	0.478992i	0.376920	−	0.0860295i	0.406784	+	0.913524i	$0.366650\pi$
$32$	1.89918	−	5.32852i	0.335731	−	0.941958i
$33$	−4.16693	+	2.00669i	−0.725369	+	0.349319i
$34$	−1.61213	−	1.34907i	−0.276478	−	0.231363i
$35$	−1.84329	−	0.420720i	−0.311574	−	0.0711146i
$36$	3.54816	−	4.04229i	0.591360	−	0.673715i
$37$	3.22095	+	4.03894i	0.529521	+	0.663998i	0.972600	−	0.232484i	$-0.0746855\pi$
$37$	3.22095	+	4.03894i	0.529521	+	0.663998i	−0.443079	+	0.896482i	$0.646114\pi$
$38$	−1.95983	+	7.74000i	−0.317927	+	1.25559i
$39$	−6.30580	−	13.0941i	−1.00974	−	2.09674i
$40$	−8.42582	−	2.56206i	−1.33224	−	0.405097i
$41$			4.90580i			0.766156i	0.923716	+	0.383078i	$0.125136\pi$
$41$			4.90580i			0.766156i	−0.923716	+	0.383078i	$0.874864\pi$
$42$	2.04774	+	0.0483283i	0.315974	+	0.00745722i
$43$	1.95156	−	8.55033i	0.297610	−	1.30391i	−0.576065	−	0.817404i	$-0.695413\pi$
$43$	1.95156	−	8.55033i	0.297610	−	1.30391i	0.873675	−	0.486510i	$-0.161730\pi$
$44$	−3.41068	−	1.84555i	−0.514179	−	0.278227i
$45$	−6.54672	−	5.22084i	−0.975928	−	0.778277i
$46$	1.41409	+	1.86168i	0.208496	+	0.274489i
$47$	9.25922	+	7.38398i	1.35060	+	1.07706i	0.989500	+	0.144535i	$0.0461688\pi$
$47$	9.25922	+	7.38398i	1.35060	+	1.07706i	0.361096	+	0.932529i	$0.382403\pi$
$48$	9.49844	+	0.899186i	1.37098	+	0.129786i
$49$	−4.13453	−	5.18454i	−0.590647	−	0.740648i
$50$	−1.62974	+	6.43637i	−0.230480	+	0.910240i
$51$	1.53832	−	3.19436i	0.215408	−	0.447300i
$52$	5.79944	−	10.7177i	0.804238	−	1.48628i
$53$	7.00349	−	1.59850i	0.962003	−	0.219571i	0.287449	−	0.957796i	$-0.407193\pi$
$53$	7.00349	−	1.59850i	0.962003	−	0.219571i	0.674554	+	0.738225i	$0.264336\pi$
$54$	−0.933248	−	0.476874i	−0.126999	−	0.0648943i
$55$	−2.61951	+	5.43947i	−0.353214	+	0.733457i
$56$	0.973186	+	1.41517i	0.130047	+	0.189111i
$57$	−13.4663			−1.78366
$58$	1.48045	−	7.47049i	0.194393	−	0.980924i
$59$		−	7.85803i		−	1.02303i	−0.859275	−	0.511515i	$-0.829085\pi$
$59$		−	7.85803i		−	1.02303i	0.859275	−	0.511515i	$-0.170915\pi$
$60$	0.700719	−	14.8370i	0.0904624	−	1.91545i
$61$	10.2833	+	4.95217i	1.31664	+	0.634061i	0.954541	−	0.298079i	$-0.0963458\pi$
$61$	10.2833	+	4.95217i	1.31664	+	0.634061i	0.362100	+	0.932139i	$0.382060\pi$
$62$	−1.38517	+	2.71080i	−0.175917	+	0.344271i
$63$	0.363382	+	1.59208i	0.0457818	+	0.200583i
$64$	4.05545	+	6.89589i	0.506931	+	0.861987i
$65$	−17.0929	−	8.23152i	−2.12012	−	1.02099i
$66$	1.60548	−	6.34055i	0.197621	−	0.780468i
$67$	−10.2352	+	8.16230i	−1.25043	+	0.997184i	−0.250855	+	0.968025i	$0.580712\pi$
$67$	−10.2352	+	8.16230i	−1.25043	+	0.997184i	−0.999575	+	0.0291594i	$0.990717\pi$
$68$	2.92630	−	0.524058i	0.354866	−	0.0635513i
$69$	−2.45843	+	3.08278i	−0.295961	+	0.371123i
$70$	2.12925	−	1.61733i	0.254494	−	0.193308i
$71$	1.20318	−	1.50873i	0.142791	−	0.179054i	−0.705293	−	0.708916i	$-0.749185\pi$
$71$	1.20318	−	1.50873i	0.142791	−	0.179054i	0.848084	+	0.529862i	$0.177756\pi$
$72$	1.16385	+	7.51695i	0.137161	+	0.885881i
$73$	10.2843	+	2.34732i	1.20368	+	0.274733i	0.776901	−	0.629622i	$-0.216790\pi$
$73$	10.2843	+	2.34732i	1.20368	+	0.274733i	0.426781	+	0.904355i	$0.359647\pi$
$74$	−7.30379	−	0.172375i	−0.849049	−	0.0200382i
$75$	−11.1982			−1.29306
$76$	−6.61581	−	9.15031i	−0.758885	−	1.04961i
$77$	1.06081	−	0.510860i	0.120891	−	0.0582179i
$78$	19.9245	+	5.04505i	2.25601	+	0.571239i
$79$	−6.98171	+	5.56772i	−0.785503	+	0.626418i	−0.931862	−	0.362814i	$-0.881816\pi$
$79$	−6.98171	+	5.56772i	−0.785503	+	0.626418i	0.146358	+	0.989232i	$0.453245\pi$
$80$	10.4259	−	6.81305i	1.16565	−	0.761723i
$81$	2.18861	−	9.58895i	0.243179	−	1.06544i
$82$	−5.32065	−	4.45245i	−0.587568	−	0.491691i
$83$	5.24379	+	10.8888i	0.575581	+	1.19521i	0.962042	+	0.272900i	$0.0879828\pi$
$83$	5.24379	+	10.8888i	0.575581	+	1.19521i	−0.386462	+	0.922305i	$0.626303\pi$
$84$	−1.91093	+	2.17705i	−0.208499	+	0.237536i
$85$	−1.02988	−	4.51218i	−0.111706	−	0.489415i
$86$	7.50218	+	9.87679i	0.808980	+	1.06504i
$87$	12.8272	−	0.672213i	1.37522	−	0.0720688i
$88$	5.09712	−	2.02410i	0.543354	−	0.215770i
$89$	6.57857	−	1.50152i	0.697327	−	0.159160i	0.140859	−	0.990030i	$-0.455013\pi$
$89$	6.57857	−	1.50152i	0.697327	−	0.159160i	0.556468	+	0.830869i	$0.312156\pi$
$90$	11.6041	−	2.36197i	1.22318	−	0.248973i
$91$	1.60532	+	3.33348i	0.168283	+	0.349444i
$92$	−3.30252	−	0.155971i	−0.344312	−	0.0162611i
$93$	−5.00564	−	1.14250i	−0.519061	−	0.118472i
$94$	−16.4120	+	3.34060i	−1.69277	+	0.344556i
$95$	−13.7437	+	10.9602i	−1.41007	+	1.12450i
$96$	−9.59592	+	9.48558i	−0.979379	+	0.968118i
$97$	−2.45983	−	5.10790i	−0.249758	−	0.518628i	0.737966	−	0.674838i	$-0.235787\pi$
$97$	−2.45983	−	5.10790i	−0.249758	−	0.518628i	−0.987724	+	0.156210i	$0.950072\pi$
$98$	9.37543	+	0.221267i	0.947061	+	0.0223513i
$99$	5.21455			0.524082
$100$	−5.50152	−	7.60914i	−0.550152	−	0.760914i
$101$	−0.876051	+	3.83823i	−0.0871704	+	0.381918i	−0.999629	−	0.0272515i	$-0.991325\pi$
$101$	−0.876051	+	3.83823i	−0.0871704	+	0.381918i	0.912458	+	0.409170i	$0.134182\pi$
$102$	2.06832	+	4.56758i	0.204795	+	0.452258i
$103$	−4.31699	+	5.41333i	−0.425366	+	0.533392i	−0.947621	−	0.319398i	$-0.896519\pi$
$103$	−4.31699	+	5.41333i	−0.425366	+	0.533392i	0.522255	+	0.852789i	$0.325091\pi$
$104$	6.36052	+	16.0171i	0.623700	+	1.57061i
$105$	3.52586	+	2.81178i	0.344089	+	0.274402i
$106$	−4.62262	+	9.04652i	−0.448988	+	0.878676i
$107$	−8.44212	+	6.73236i	−0.816130	+	0.650842i	−0.939893	−	0.341470i	$-0.889075\pi$
$107$	−8.44212	+	6.73236i	−0.816130	+	0.650842i	0.123763	+	0.992312i	$0.460504\pi$
$108$	1.36421	−	0.579362i	0.131271	−	0.0557492i
$109$	−1.87051	+	3.88416i	−0.179163	+	0.372035i	−0.971138	−	0.238518i	$-0.923338\pi$
$109$	−1.87051	+	3.88416i	−0.179163	+	0.372035i	0.791975	+	0.610553i	$0.209053\pi$
$110$	−3.52201	−	7.77783i	−0.335811	−	0.741587i
$111$	−2.74192	−	12.0131i	−0.260252	−	1.14024i
$112$	−2.41810	−	0.228914i	−0.228489	−	0.0216303i
$113$	−2.64019	+	5.48242i	−0.248368	+	0.515742i	−0.987461	−	0.157861i	$-0.949540\pi$
$113$	−2.64019	+	5.48242i	−0.248368	+	0.515742i	0.739093	+	0.673604i	$0.235254\pi$
$114$	12.2219	−	14.6051i	1.14469	−	1.36790i
$115$			5.14718i			0.479977i
$116$	6.75859	+	8.38579i	0.627519	+	0.778601i
$117$			16.3862i			1.51490i
$118$	8.52255	+	7.13187i	0.784564	+	0.656542i
$119$	−0.391624	+	0.813216i	−0.0359001	+	0.0745474i
$120$	15.4557	+	14.2259i	1.41091	+	1.29864i
$121$	1.61112	+	7.05878i	0.146465	+	0.641707i
$122$	−14.7040	+	6.65836i	−1.33123	+	0.602819i
$123$	5.07706	−	10.5426i	0.457783	−	0.950597i
$124$	−1.68287	−	3.96260i	−0.151126	−	0.355852i
$125$	0.742888	−	0.592434i	0.0664460	−	0.0529889i
$126$	−2.05652	−	1.05085i	−0.183209	−	0.0936167i
$127$	−3.54002	−	2.82307i	−0.314126	−	0.250507i	0.453716	−	0.891146i	$-0.350098\pi$
$127$	−3.54002	−	2.82307i	−0.314126	−	0.250507i	−0.767842	+	0.640639i	$0.778669\pi$
$128$	−11.1597	−	1.86025i	−0.986390	−	0.164424i
$129$	−13.0428	+	16.3551i	−1.14835	+	1.43999i
$130$	24.4410	−	11.0675i	2.14362	−	0.970688i
$131$	2.34830	−	10.2886i	0.205172	−	0.898916i	−0.762557	−	0.646921i	$-0.776056\pi$
$131$	2.34830	−	10.2886i	0.205172	−	0.898916i	0.967729	−	0.251995i	$-0.0810866\pi$
$132$	5.41962	+	7.49586i	0.471717	+	0.652431i
$133$	3.42825			0.297267
$134$	0.436820	−	18.5088i	0.0377355	−	1.59891i
$135$	−1.00115	−	2.07892i	−0.0861657	−	0.178925i
$136$	−2.08751	+	3.64939i	−0.179002	+	0.312933i
$137$	16.5159	−	13.1710i	1.41105	−	1.12528i	0.436867	−	0.899526i	$-0.356088\pi$
$137$	16.5159	−	13.1710i	1.41105	−	1.12528i	0.974185	−	0.225751i	$-0.0724835\pi$
$138$	−1.11222	−	5.46423i	−0.0946788	−	0.465146i
$139$	−8.50447	−	1.94109i	−0.721340	−	0.164641i	−0.153936	−	0.988081i	$-0.549195\pi$
$139$	−8.50447	−	1.94109i	−0.721340	−	0.164641i	−0.567404	+	0.823440i	$0.692052\pi$
$140$	−0.178388	+	3.77718i	−0.0150765	+	0.319230i
$141$	−12.2564	−	25.4508i	−1.03218	−	2.14334i
$142$	0.544330	+	2.67423i	0.0456792	+	0.224417i
$143$	11.5182	−	2.62896i	0.963202	−	0.219845i
$144$	−9.20892	−	5.56004i	−0.767410	−	0.463336i
$145$	12.5443	−	11.1261i	1.04175	−	0.923974i
$146$	−11.8797	+	9.02355i	−0.983172	+	0.746795i
$147$	3.51963	+	15.4205i	0.290295	+	1.27186i
$148$	6.81580	−	7.76499i	0.560255	−	0.638278i
$149$	−0.594905	−	1.23533i	−0.0487365	−	0.101202i	0.875179	−	0.483800i	$-0.160744\pi$
$149$	−0.594905	−	1.23533i	−0.0487365	−	0.101202i	−0.923915	+	0.382598i	$0.875030\pi$
$150$	10.1634	−	12.1452i	0.829839	−	0.991653i
$151$	1.41776	−	6.21163i	0.115376	−	0.505495i	−0.883908	−	0.467661i	$-0.845097\pi$
$151$	1.41776	−	6.21163i	0.115376	−	0.505495i	0.999284	−	0.0378344i	$-0.0120459\pi$
$152$	15.9285	+	1.12945i	1.29198	+	0.0916108i
$153$	−3.12535	+	2.49238i	−0.252669	+	0.201497i
$154$	−0.408721	+	1.61417i	−0.0329357	+	0.130073i
$155$	−6.03861	+	2.90804i	−0.485033	+	0.233580i
$156$	−23.5549	+	17.0306i	−1.88591	+	1.36354i
$157$	2.24623			0.179269			0.0896343	−	0.995975i	$-0.471430\pi$
$157$	2.24623			0.179269			0.0896343	+	0.995975i	$0.471430\pi$
$158$	0.297967	−	12.6253i	0.0237050	−	1.00442i
$159$	−16.7049	−	3.81279i	−1.32479	−	0.302374i
$160$	−2.07325	+	17.4910i	−0.163905	+	1.38279i
$161$	0.625865	−	0.784810i	0.0493251	−	0.0618517i
$162$	8.41347	+	11.0765i	0.661025	+	0.870254i
$163$	10.3051	−	12.9222i	0.807156	−	1.01214i	−0.192369	−	0.981323i	$-0.561617\pi$
$163$	10.3051	−	12.9222i	0.807156	−	1.01214i	0.999525	−	0.0308191i	$-0.00981157\pi$
$164$	9.65794	−	1.72959i	0.754158	−	0.135059i
$165$	11.2587	−	8.97854i	0.876491	−	0.698978i
$166$	−16.5689	−	4.19537i	−1.28599	−	0.325624i
$167$	0.488986	+	0.235483i	0.0378389	+	0.0182222i	0.452707	−	0.891659i	$-0.350458\pi$
$167$	0.488986	+	0.235483i	0.0378389	+	0.0182222i	−0.414869	+	0.909881i	$0.636172\pi$
$168$	−0.626813	−	4.04839i	−0.0483597	−	0.312340i
$169$	5.36845	+	23.5207i	0.412958	+	1.80929i
$170$	5.82846	+	2.97824i	0.447023	+	0.228421i
$171$	13.6795	+	6.58771i	1.04610	+	0.503774i
$172$	−17.5209	−	0.827474i	−1.33596	−	0.0630943i
$173$			18.2114i			1.38458i	0.721617	+	0.692292i	$0.243399\pi$
$173$			18.2114i			1.38458i	−0.721617	+	0.692292i	$0.756601\pi$
$174$	−10.9128	+	14.5221i	−0.827298	+	1.10092i
$175$	2.85083			0.215503
$176$	−2.43082	+	7.36520i	−0.183230	+	0.555173i
$177$	−8.13237	+	16.8870i	−0.611266	+	1.26931i
$178$	−4.34215	+	8.49764i	−0.325458	+	0.636925i
$179$	18.1568	−	4.14418i	1.35711	−	0.309751i	0.518774	−	0.854911i	$-0.326388\pi$
$179$	18.1568	−	4.14418i	1.35711	−	0.309751i	0.838332	+	0.545160i	$0.183531\pi$
$180$	−7.97004	+	14.7291i	−0.594051	+	1.09784i
$181$	10.8811	−	22.5949i	0.808788	−	1.67947i	0.0779067	−	0.996961i	$-0.475176\pi$
$181$	10.8811	−	22.5949i	0.808788	−	1.67947i	0.730881	−	0.682505i	$-0.239109\pi$
$182$	−5.07235	−	1.28436i	−0.375988	−	0.0952032i
$183$	−16.9739	−	21.2846i	−1.25475	−	1.57340i
$184$	3.16650	−	3.44024i	0.233437	−	0.253618i
$185$	−12.5759	−	10.0289i	−0.924596	−	0.737341i
$186$	5.78219	−	4.39201i	0.423971	−	0.322038i
$187$	2.25338	+	1.79701i	0.164783	+	0.131410i
$188$	11.2722	−	20.8317i	0.822113	−	1.51931i
$189$	−0.100134	+	0.438715i	−0.00728366	+	0.0319118i
$190$	0.586556	−	24.8533i	0.0425533	−	1.80305i
$191$		−	11.3111i		−	0.818444i	−0.912435	−	0.409222i	$-0.865800\pi$
$191$		−	11.3111i		−	0.818444i	0.912435	−	0.409222i	$-0.134200\pi$
$192$	−1.57858	−	19.0164i	−0.113924	−	1.37239i
$193$	6.87610	+	14.2784i	0.494953	+	1.02778i	0.987518	+	0.157505i	$0.0503449\pi$
$193$	6.87610	+	14.2784i	0.494953	+	1.02778i	−0.492565	+	0.870275i	$0.663941\pi$
$194$	7.77236	+	1.96803i	0.558023	+	0.141296i
$195$	28.2141	+	35.3793i	2.02045	+	2.53357i
$196$	−8.74902	+	9.96744i	−0.624930	+	0.711960i
$197$	−26.8967	−	6.13899i	−1.91631	−	0.437385i	−0.999254	−	0.0386237i	$-0.987703\pi$
$197$	−26.8967	−	6.13899i	−1.91631	−	0.437385i	−0.917055	−	0.398761i	$-0.869440\pi$
$198$	−4.73268	+	5.65552i	−0.336337	+	0.401920i
$199$	−6.46403	+	3.11291i	−0.458223	+	0.220669i	−0.648732	−	0.761017i	$-0.724700\pi$
$199$	−6.46403	+	3.11291i	−0.458223	+	0.220669i	0.190509	+	0.981685i	$0.438986\pi$
$200$	13.2457	+	0.939222i	0.936615	+	0.0664130i
$201$	30.4429	−	6.94839i	2.14728	−	0.490102i
$202$	−3.36772	−	4.43368i	−0.236952	−	0.311952i
$203$	−3.26554	+	0.171131i	−0.229196	+	0.0120110i
$204$	−6.83102	−	1.90226i	−0.478267	−	0.133185i
$205$	−3.39899	−	14.8920i	−0.237396	−	1.04010i
$206$	−1.95306	−	9.59514i	−0.136076	−	0.668525i
$207$	4.00544	−	1.92892i	0.278397	−	0.134069i
$208$	−23.1444	−	7.63860i	−1.60477	−	0.529641i
$209$	2.43594	−	10.6726i	0.168498	−	0.738237i
$210$	−6.24959	+	1.27208i	−0.431263	+	0.0877819i
$211$	2.05441	+	2.57615i	0.141431	+	0.177349i	0.847502	−	0.530792i	$-0.178105\pi$
$211$	2.05441	+	2.57615i	0.141431	+	0.177349i	−0.706071	+	0.708141i	$0.749534\pi$
$212$	−5.61610	−	13.2241i	−0.385715	−	0.908232i
$213$	−4.14705	+	1.99711i	−0.284151	+	0.136840i
$214$	0.360295	−	15.2662i	0.0246292	−	1.04358i
$215$			27.3074i			1.86235i
$216$	−0.609785	+	2.00539i	−0.0414906	+	0.136450i
$217$	1.27433	+	0.290857i	0.0865071	+	0.0197447i
$218$	−2.51496	−	5.55392i	−0.170335	−	0.376159i
$219$	−19.6718	−	15.6877i	−1.32930	−	1.06008i
$220$	11.6321	+	3.23923i	0.784236	+	0.218389i
$221$	−5.64690	+	7.08099i	−0.379852	+	0.476319i
$222$	15.5176	+	7.92922i	1.04147	+	0.532174i
$223$	−4.89094	−	6.13305i	−0.327522	−	0.410699i	0.590621	−	0.806949i	$-0.298883\pi$
$223$	−4.89094	−	6.13305i	−0.327522	−	0.410699i	−0.918143	+	0.396250i	$0.870311\pi$
$224$	2.44292	−	2.41483i	0.163224	−	0.161347i
$225$	11.3755	+	5.47815i	0.758367	+	0.365210i
$226$	−3.54982	−	7.83924i	−0.236131	−	0.521459i
$227$	−15.9507	+	3.64063i	−1.05868	+	0.241637i	−0.716206	−	0.697889i	$-0.754123\pi$
$227$	−15.9507	+	3.64063i	−1.05868	+	0.241637i	−0.342477	+	0.939526i	$0.611266\pi$
$228$	4.74772	+	26.5109i	0.314425	+	1.75573i
$229$	−21.0804	−	10.1518i	−1.39303	−	0.670850i	−0.421299	−	0.906922i	$-0.638426\pi$
$229$	−21.0804	−	10.1518i	−1.39303	−	0.670850i	−0.971736	+	0.236072i	$0.924140\pi$
$230$	−5.58245	−	4.67153i	−0.368096	−	0.308032i
$231$	−2.80839			−0.184779
$232$	−15.2290	−	0.280730i	−0.999830	−	0.0184308i
$233$	3.38118			0.221508			0.110754	−	0.993848i	$-0.464673\pi$
$233$	3.38118			0.221508			0.110754	+	0.993848i	$0.464673\pi$
$234$	−17.7719	−	14.8719i	−1.16178	−	0.972208i
$235$	−33.2232	−	15.9994i	−2.16724	−	1.04369i
$236$	−15.4700	+	2.77044i	−1.00701	+	0.180340i
$237$	20.7659	−	4.73968i	1.34889	−	0.307875i
$238$	−0.526551	−	1.16281i	−0.0341312	−	0.0753737i
$239$	−0.595552	−	0.286803i	−0.0385230	−	0.0185517i	0.414523	−	0.910039i	$-0.363948\pi$
$239$	−0.595552	−	0.286803i	−0.0385230	−	0.0185517i	−0.453046	+	0.891487i	$0.649663\pi$
$240$	−29.4563	+	3.85147i	−1.90140	+	0.248611i
$241$	−6.33151	−	7.93946i	−0.407848	−	0.511426i	0.534907	−	0.844911i	$-0.320347\pi$
$241$	−6.33151	−	7.93946i	−0.407848	−	0.511426i	−0.942755	+	0.333485i	$0.891775\pi$
$242$	−9.11793	−	4.65911i	−0.586123	−	0.299499i
$243$	−13.2409	+	16.6036i	−0.849406	+	1.06512i
$244$	6.12375	−	21.9905i	0.392033	−	1.40779i
$245$	16.1429	+	12.8735i	1.03133	+	0.822457i
$246$	6.82627	+	15.0748i	0.435227	+	0.961133i
$247$	33.5374	+	7.65469i	2.13393	+	0.487056i
$248$	5.82505	+	1.77123i	0.369891	+	0.112474i
$249$		−	28.8271i		−	1.82685i
$250$	−0.0317052	+	1.34340i	−0.00200521	+	0.0849639i
$251$	15.4500	−	7.44031i	0.975193	−	0.469628i	0.122744	−	0.992438i	$-0.460831\pi$
$251$	15.4500	−	7.44031i	0.975193	−	0.469628i	0.852449	+	0.522810i	$0.175116\pi$
$252$	3.00618	−	1.27669i	0.189372	−	0.0804239i
$253$	−1.99850	−	2.50605i	−0.125645	−	0.157554i
$254$	6.27469	−	1.27719i	0.393709	−	0.0801381i
$255$	−2.45649	+	10.7626i	−0.153831	+	0.673979i
$256$	12.1460	−	10.4151i	0.759126	−	0.650944i
$257$	17.1437	−	8.25598i	1.06940	−	0.514994i	0.185484	−	0.982647i	$-0.440615\pi$
$257$	17.1437	−	8.25598i	1.06940	−	0.514994i	0.883912	+	0.467653i	$0.154900\pi$
$258$	−5.90070	−	28.9895i	−0.367361	−	1.80480i
$259$	0.698035	+	3.05829i	0.0433738	+	0.190033i
$260$	−10.1789	+	36.5526i	−0.631270	+	2.26690i
$261$	−13.3591	−	5.59220i	−0.826910	−	0.346149i
$262$	9.02732	+	11.8847i	0.557710	+	0.734238i
$263$	−11.5858	+	2.64438i	−0.714410	+	0.163059i	−0.564252	−	0.825603i	$-0.690835\pi$
$263$	−11.5858	+	2.64438i	−0.714410	+	0.163059i	−0.150158	+	0.988662i	$0.547978\pi$
$264$	−13.0485	−	0.925240i	−0.803082	−	0.0569446i
$265$	−20.1522	+	9.70477i	−1.23794	+	0.596159i
$266$	−3.11144	+	3.71815i	−0.190775	+	0.227975i
$267$	−15.6914	−	3.58146i	−0.960297	−	0.219181i
$268$	19.6775	+	17.2721i	1.20199	+	1.05506i
$269$	6.75473	+	8.47017i	0.411843	+	0.516435i	0.943881	−	0.330285i	$-0.107145\pi$
$269$	6.75473	+	8.47017i	0.411843	+	0.516435i	−0.532038	+	0.846721i	$0.678574\pi$
$270$	3.16336	+	0.800989i	0.192516	+	0.0487466i
$271$	9.17734	+	19.0569i	0.557484	+	1.15763i	0.969191	+	0.246311i	$0.0792184\pi$
$271$	9.17734	+	19.0569i	0.557484	+	1.15763i	−0.411707	+	0.911316i	$0.635067\pi$
$272$	−2.06340	−	5.57619i	−0.125112	−	0.338106i
$273$		−	8.82508i		−	0.534118i
$274$	−0.704871	+	29.8665i	−0.0425828	+	1.80430i
$275$	2.02566	−	8.87501i	0.122152	−	0.535183i
$276$	6.93575	+	3.75300i	0.417483	+	0.225904i
$277$	−4.95257	−	3.94954i	−0.297571	−	0.237305i	0.463310	−	0.886196i	$-0.346662\pi$
$277$	−4.95257	−	3.94954i	−0.297571	−	0.237305i	−0.760881	+	0.648891i	$0.775233\pi$
$278$	9.82381	−	7.46193i	0.589193	−	0.447537i
$279$	4.52597	+	3.60934i	0.270962	+	0.216085i
$280$	−3.93470	−	3.62161i	−0.235143	−	0.216432i
$281$	1.78945	+	2.24390i	0.106750	+	0.133860i	0.832336	−	0.554271i	$-0.187003\pi$
$281$	1.78945	+	2.24390i	0.106750	+	0.133860i	−0.725587	+	0.688131i	$0.758431\pi$
$282$	38.7268	+	9.80595i	2.30615	+	0.583936i
$283$	−13.8015	+	28.6592i	−0.820416	+	1.70361i	−0.116658	+	0.993172i	$0.537218\pi$
$283$	−13.8015	+	28.6592i	−0.820416	+	1.70361i	−0.703758	+	0.710439i	$0.748496\pi$
$284$	−3.39441	−	1.83675i	−0.201421	−	0.108991i
$285$	40.8783	−	9.33020i	2.42142	−	0.552673i
$286$	−7.60255	+	14.8783i	−0.449548	+	0.879771i
$287$	−1.29251	+	2.68393i	−0.0762946	+	0.158427i
$288$	14.3881	−	4.94144i	0.847829	−	0.291177i
$289$	14.7905			0.870031
$290$	0.681908	+	23.7031i	0.0400430	+	1.39189i
$291$			13.5227i			0.792712i
$292$	0.995278	−	21.0740i	0.0582443	−	1.23326i
$293$	−12.7755	−	6.15234i	−0.746351	−	0.359424i	0.0217405	−	0.999764i	$-0.493079\pi$
$293$	−12.7755	−	6.15234i	−0.746351	−	0.359424i	−0.768092	+	0.640340i	$0.778794\pi$
$294$	−19.9189	−	10.1782i	−1.16170	−	0.593607i
$295$	5.44446	+	23.8537i	0.316989	+	1.38882i
$296$	2.23569	+	14.4396i	0.129947	+	0.839285i
$297$	1.29462	+	0.623458i	0.0751217	+	0.0361767i
$298$	1.87973	+	0.475963i	0.108890	+	0.0275718i
$299$	7.87498	−	6.28009i	0.455422	−	0.363187i
$300$	3.94807	+	22.0457i	0.227942	+	1.27281i
$301$	3.32041	−	4.16366i	0.191385	−	0.239990i
$302$	5.45016	+	7.17527i	0.313622	+	0.412890i
$303$	5.85488	−	7.34179i	0.336354	−	0.421775i
$304$	−15.6815	+	16.2505i	−0.899398	+	0.932027i
$305$	−34.6470	−	7.90794i	−1.98388	−	0.452807i
$306$	0.133384	−	5.65170i	0.00762507	−	0.323086i
$307$	−3.74673			−0.213837			−0.106919	−	0.994268i	$-0.534098\pi$
$307$	−3.74673			−0.213837			−0.106919	+	0.994268i	$0.534098\pi$
$308$	−1.37972	−	1.90829i	−0.0786169	−	0.108735i
$309$	14.8796	−	7.16564i	0.846471	−	0.407639i
$310$	2.32662	−	9.18858i	0.132143	−	0.521876i
$311$	−9.62168	+	7.67303i	−0.545595	+	0.435098i	−0.857102	−	0.515146i	$-0.827738\pi$
$311$	−9.62168	+	7.67303i	−0.545595	+	0.435098i	0.311507	+	0.950244i	$0.399166\pi$
$312$	2.90747	−	41.0036i	0.164603	−	2.32137i
$313$	−4.51742	+	19.7921i	−0.255339	+	1.11872i	0.670831	+	0.741610i	$0.265938\pi$
$313$	−4.51742	+	19.7921i	−0.255339	+	1.11872i	−0.926170	+	0.377105i	$0.876920\pi$
$314$	−2.03866	+	2.43618i	−0.115048	+	0.137482i
$315$	−2.20616	−	4.58113i	−0.124303	−	0.258117i
$316$	13.4225	+	11.7818i	0.755077	+	0.662777i
$317$	−0.365586	−	1.60173i	−0.0205333	−	0.0899624i	0.963623	−	0.267265i	$-0.0861200\pi$
$317$	−0.365586	−	1.60173i	−0.0205333	−	0.0899624i	−0.984156	+	0.177303i	$0.943263\pi$
$318$	19.2964	−	14.6571i	1.08209	−	0.821930i
$319$	−1.78758	+	10.2876i	−0.100085	+	0.575998i
$320$	−17.0885	−	18.1233i	−0.955276	−	1.01312i
$321$	25.1096	−	5.73111i	1.40148	−	0.319879i
$322$	0.283149	+	1.39108i	0.0157793	+	0.0775217i
$323$	3.64114	+	7.56091i	0.202599	+	0.420700i
$324$	−19.6492	−	0.927987i	−1.09162	−	0.0515548i
$325$	27.8888	+	6.36543i	1.54699	+	0.353090i
$326$	4.66214	+	22.9045i	0.258212	+	1.26857i
$327$	8.03952	−	6.41130i	0.444587	−	0.354546i
$328$	−6.88959	+	12.0444i	−0.380414	+	0.665042i
$329$	3.12023	+	6.47922i	0.172024	+	0.357211i
$330$	−0.480503	+	20.3597i	−0.0264508	+	1.12076i
$331$	21.4085			1.17672			0.588358	−	0.808601i	$-0.299775\pi$
$331$	21.4085			1.17672			0.588358	+	0.808601i	$0.299775\pi$
$332$	19.5879	−	14.1623i	1.07502	−	0.777259i
$333$	−3.09148	+	13.5447i	−0.169412	+	0.742242i
$334$	−0.699195	+	0.316615i	−0.0382583	+	0.0173244i
$335$	25.4146	−	31.8689i	1.38855	−	1.74118i
$336$	4.95963	+	2.99446i	0.270570	+	0.163361i
$337$	4.48997	+	3.58063i	0.244584	+	0.195049i	0.738107	−	0.674683i	$-0.235720\pi$
$337$	4.48997	+	3.58063i	0.244584	+	0.195049i	−0.493523	+	0.869733i	$0.664291\pi$
$338$	−30.3821	−	15.5247i	−1.65257	−	0.844434i
$339$	11.3476	−	9.04943i	0.616319	−	0.491498i
$340$	−8.51995	+	3.61832i	−0.462059	+	0.196231i
$341$	1.81095	−	3.76048i	0.0980686	−	0.203641i
$342$	−19.5602	+	8.85738i	−1.05769	+	0.478952i
$343$	−1.84187	−	8.06976i	−0.0994517	−	0.435726i
$344$	16.7993	−	18.2516i	0.905755	−	0.984058i
$345$	5.32688	−	11.0614i	0.286789	−	0.595524i
$346$	−19.7514	−	16.5284i	−1.06184	−	0.888575i
$347$		−	25.8026i		−	1.38516i	−0.721342	−	0.692579i	$-0.756474\pi$
$347$		−	25.8026i		−	1.38516i	0.721342	−	0.692579i	$-0.243526\pi$
$348$	−5.84576	−	25.0157i	−0.313366	−	1.34098i
$349$			4.53818i			0.242923i	0.992596	+	0.121462i	$0.0387581\pi$
$349$			4.53818i			0.242923i	−0.992596	+	0.121462i	$0.961242\pi$
$350$	−2.58739	+	3.09191i	−0.138302	+	0.165270i
$351$	−1.95915	+	4.06822i	−0.104572	+	0.217145i
$352$	−5.78185	−	9.32097i	−0.308174	−	0.496809i
$353$	−4.81055	−	21.0764i	−0.256040	−	1.12178i	−0.925444	−	0.378884i	$-0.876308\pi$
$353$	−4.81055	−	21.0764i	−0.256040	−	1.12178i	0.669404	−	0.742898i	$-0.266549\pi$
$354$	−10.9342	−	24.1466i	−0.581148	−	1.28338i
$355$	−2.60701	+	5.41352i	−0.138366	+	0.287320i
$356$	−5.27535	−	12.4217i	−0.279593	−	0.658350i
$357$	1.68321	−	1.34232i	0.0890851	−	0.0710430i
$358$	−11.9843	+	23.4535i	−0.633392	+	1.23956i
$359$	−7.01485	−	5.59415i	−0.370229	−	0.295248i	0.420646	−	0.907225i	$-0.361803\pi$
$359$	−7.01485	−	5.59415i	−0.370229	−	0.295248i	−0.790876	+	0.611976i	$0.790375\pi$
$360$	−8.74111	−	22.0120i	−0.460697	−	1.16013i
$361$	8.02696	−	10.0655i	0.422472	−	0.529763i
$362$	14.6300	+	32.3082i	0.768937	+	1.69808i
$363$	3.84289	−	16.8368i	0.201699	−	0.883702i
$364$	5.99659	−	4.33562i	0.314307	−	0.227248i
$365$	−32.8451			−1.71919
$366$	38.4899	+	0.908389i	2.01190	+	0.0474823i
$367$	−6.37545	−	13.2388i	−0.332796	−	0.691057i	0.665681	−	0.746237i	$-0.268141\pi$
$367$	−6.37545	−	13.2388i	−0.332796	−	0.691057i	−0.998476	+	0.0551793i	$0.982427\pi$
$368$	0.857286	+	6.55660i	0.0446891	+	0.341786i
$369$	−10.3149	+	8.22583i	−0.536970	+	0.428219i
$370$	22.2907	−	4.53720i	1.15884	−	0.235878i
$371$	4.25271	+	0.970654i	0.220790	+	0.0503939i
$372$	−0.484430	+	10.2573i	−0.0251165	+	0.531816i
$373$	1.69492	+	3.51954i	0.0877596	+	0.182235i	0.940229	−	0.340542i	$-0.110610\pi$
$373$	1.69492	+	3.51954i	0.0877596	+	0.182235i	−0.852470	+	0.522777i	$0.824896\pi$
$374$	−3.99411	+	0.812987i	−0.206531	+	0.0420385i
$375$	−2.20959	+	0.504326i	−0.114103	+	0.0260433i
$376$	12.3628	+	31.1322i	0.637563	+	1.60552i
$377$	−32.3278	−	5.61728i	−1.66497	−	0.289305i
$378$	−0.384934	−	0.506774i	−0.0197989	−	0.0260657i
$379$	2.95815	+	12.9605i	0.151950	+	0.665735i	0.992317	+	0.123719i	$0.0394820\pi$
$379$	2.95815	+	12.9605i	0.151950	+	0.665735i	−0.840368	+	0.542017i	$0.817661\pi$
$380$	26.4227	+	23.1928i	1.35545	+	1.18976i
$381$	4.68593	+	9.73044i	0.240068	+	0.498505i
$382$	12.2676	+	10.2659i	0.627667	+	0.525247i
$383$	0.585238	−	2.56409i	0.0299042	−	0.131019i	−0.957772	−	0.287528i	$-0.907167\pi$
$383$	0.585238	−	2.56409i	0.0299042	−	0.131019i	0.987677	+	0.156508i	$0.0500239\pi$
$384$	22.0572	+	15.5470i	1.12560	+	0.793381i
$385$	−2.86623	+	2.28574i	−0.146077	+	0.116492i
$386$	−21.7265	−	5.50133i	−1.10585	−	0.280010i
$387$	21.2501	−	10.2335i	1.08020	−	0.520199i
$388$	−9.18857	+	6.64347i	−0.466479	+	0.337271i
$389$	2.13085			0.108039			0.0540193	−	0.998540i	$-0.482797\pi$
$389$	2.13085			0.108039			0.0540193	+	0.998540i	$0.482797\pi$
$390$	−63.9780	−	1.50993i	−3.23965	−	0.0764582i
$391$	2.39561	+	0.546782i	0.121151	+	0.0276520i
$392$	−2.86981	−	18.5352i	−0.144947	−	0.936170i
$393$	−15.6943	+	19.6800i	−0.791672	+	0.992725i
$394$	31.0693	−	23.5995i	1.56525	−	1.18893i
$395$	17.3360	−	21.7386i	0.872267	−	1.09379i
$396$	−1.83845	−	10.2658i	−0.0923856	−	0.515875i
$397$	−13.6476	+	10.8836i	−0.684952	+	0.546231i	−0.902965	−	0.429715i	$-0.858614\pi$
$397$	−13.6476	+	10.8836i	−0.684952	+	0.546231i	0.218012	+	0.975946i	$0.430043\pi$
$398$	2.49053	−	9.83591i	0.124839	−	0.493030i
$399$	−7.36735	−	3.54793i	−0.368829	−	0.177619i
$400$	−13.0403	+	13.5134i	−0.652017	+	0.675671i
$401$	4.53462	+	19.8675i	0.226448	+	0.992134i	0.952511	+	0.304505i	$0.0984912\pi$
$401$	4.53462	+	19.8675i	0.226448	+	0.992134i	−0.726062	+	0.687629i	$0.758652\pi$
$402$	−20.0937	+	39.3236i	−1.00218	+	1.96128i
$403$	11.8169	+	5.69072i	0.588642	+	0.283475i
$404$	7.86511	+	0.371452i	0.391304	+	0.0184804i
$405$			30.6245i			1.52174i
$406$	2.77817	−	3.69701i	0.137878	−	0.183480i
$407$	10.0168			0.496516
$408$	8.26289	−	5.68222i	0.409074	−	0.281312i
$409$	−10.0267	+	20.8206i	−0.495788	+	1.02951i	0.491545	+	0.870852i	$0.336432\pi$
$409$	−10.0267	+	20.8206i	−0.495788	+	1.02951i	−0.987333	+	0.158662i	$0.949282\pi$
$410$	19.2362	+	9.82937i	0.950008	+	0.485438i
$411$	−49.1239	+	11.2122i	−2.42310	+	0.553057i
$412$	12.1791	+	6.59024i	0.600023	+	0.324678i
$413$	2.07033	−	4.29908i	0.101874	−	0.211544i
$414$	−1.54326	+	6.09482i	−0.0758470	+	0.299544i
$415$	−23.4623	−	29.4208i	−1.15172	−	1.44421i
$416$	29.2901	−	18.1688i	1.43607	−	0.890801i
$417$	16.2674	+	12.9728i	0.796617	+	0.635281i
$418$	9.36425	+	12.3282i	0.458020	+	0.602994i
$419$	7.49686	+	5.97855i	0.366246	+	0.292071i	0.789269	−	0.614048i	$-0.210460\pi$
$419$	7.49686	+	5.97855i	0.366246	+	0.292071i	−0.423023	+	0.906119i	$0.639031\pi$
$420$	4.29241	−	7.93261i	0.209448	−	0.387072i
$421$	−4.72773	+	20.7135i	−0.230415	+	1.00952i	0.718881	+	0.695133i	$0.244655\pi$
$421$	−4.72773	+	20.7135i	−0.230415	+	1.00952i	−0.949296	+	0.314383i	$0.898202\pi$
$422$	−4.65856	−	0.109945i	−0.226775	−	0.00535206i
$423$			31.8494i			1.54857i
$424$	19.4395	+	5.91100i	0.944063	+	0.287063i
$425$	3.02787	+	6.28744i	0.146873	+	0.304986i
$426$	1.59782	−	6.31030i	0.0774147	−	0.305735i
$427$	4.32119	+	5.41861i	0.209117	+	0.262225i
$428$	16.2302	+	14.2463i	0.784518	+	0.688619i
$429$	−27.4736	−	6.27067i	−1.32644	−	0.302751i
$430$	−29.6167	−	24.7839i	−1.42824	−	1.19519i
$431$	17.6881	−	8.51815i	0.852007	−	0.410305i	0.0436848	−	0.999045i	$-0.486090\pi$
$431$	17.6881	−	8.51815i	0.852007	−	0.410305i	0.808322	+	0.588740i	$0.200376\pi$
$432$	−1.62155	−	2.48143i	−0.0780167	−	0.119388i
$433$	−8.07846	+	1.84385i	−0.388226	+	0.0886100i	−0.412179	−	0.911103i	$-0.635232\pi$
$433$	−8.07846	+	1.84385i	−0.388226	+	0.0886100i	0.0239528	+	0.999713i	$0.492375\pi$
$434$	−1.47202	+	1.11811i	−0.0706593	+	0.0536712i
$435$	−38.4725	+	10.9279i	−1.84461	+	0.523955i
$436$	8.30614	+	2.31304i	0.397792	+	0.110774i
$437$	−2.07678	−	9.09896i	−0.0993458	−	0.435262i
$438$	34.8683	−	7.09731i	1.66607	−	0.339122i
$439$	2.15049	−	1.03562i	0.102638	−	0.0494276i	−0.381861	−	0.924220i	$-0.624717\pi$
$439$	2.15049	−	1.03562i	0.102638	−	0.0494276i	0.484498	+	0.874792i	$0.339002\pi$
$440$	−14.0703	+	9.67588i	−0.670777	+	0.461280i
$441$	3.96834	−	17.3864i	0.188968	−	0.827925i
$442$	−2.55472	−	12.5511i	−0.121516	−	0.596993i
$443$	2.89508	+	3.63031i	0.137549	+	0.172481i	0.845835	−	0.533444i	$-0.179103\pi$
$443$	2.89508	+	3.63031i	0.137549	+	0.172481i	−0.708286	+	0.705926i	$0.750531\pi$
$444$	−22.6833	+	9.63334i	−1.07650	+	0.457178i
$445$	−18.9295	+	9.11596i	−0.897344	+	0.432138i
$446$	11.0907	+	0.261748i	0.525158	+	0.0123941i
$447$			3.27042i			0.154686i
$448$	0.401872	+	4.84117i	0.0189867	+	0.228724i
$449$	−18.0273	−	4.11462i	−0.850763	−	0.194181i	−0.225159	−	0.974322i	$-0.572290\pi$
$449$	−18.0273	−	4.11462i	−0.850763	−	0.194181i	−0.625604	+	0.780141i	$0.715147\pi$
$450$	−16.2657	+	7.36555i	−0.766772	+	0.347215i
$451$	7.43702	+	5.93082i	0.350196	+	0.279272i
$452$	11.7240	+	3.26480i	0.551448	+	0.153563i
$453$	−9.47528	+	11.8816i	−0.445187	+	0.558247i
$454$	10.5282	−	20.6037i	0.494111	−	0.966981i
$455$	−7.18271	−	9.00683i	−0.336731	−	0.422247i
$456$	−33.0618	−	18.9118i	−1.54826	−	0.885628i
$457$	−23.6542	−	11.3913i	−1.10650	−	0.532861i	−0.210802	−	0.977529i	$-0.567608\pi$
$457$	−23.6542	−	11.3913i	−1.10650	−	0.532861i	−0.895696	+	0.444667i	$0.853322\pi$
$458$	30.1427	−	13.6494i	1.40847	−	0.637796i
$459$	−1.07393	+	0.245117i	−0.0501266	+	0.0114411i
$460$	10.1332	−	1.81470i	0.472461	−	0.0846108i
$461$	−32.9580	−	15.8717i	−1.53501	−	0.739220i	−0.540251	−	0.841504i	$-0.681671\pi$
$461$	−32.9580	−	15.8717i	−1.53501	−	0.739220i	−0.994755	+	0.102284i	$0.967385\pi$
$462$	2.54887	−	3.04589i	0.118584	−	0.141707i
$463$	−20.0274			−0.930754			−0.465377	−	0.885113i	$-0.654081\pi$
$463$	−20.0274			−0.930754			−0.465377	+	0.885113i	$0.654081\pi$
$464$	14.1261	−	16.2620i	0.655789	−	0.754945i
$465$	15.9866			0.741363
$466$	−3.06872	+	3.66710i	−0.142156	+	0.169875i
$467$	−5.60643	−	2.69992i	−0.259435	−	0.124937i	0.299646	−	0.954051i	$-0.403131\pi$
$467$	−5.60643	−	2.69992i	−0.259435	−	0.124937i	−0.559081	+	0.829113i	$0.688846\pi$
$468$	32.2591	−	5.77713i	1.49118	−	0.267048i
$469$	−7.75011	+	1.76891i	−0.357867	+	0.0816808i
$470$	47.5054	−	21.5118i	2.19126	−	0.992263i
$471$	−4.82718	−	2.32465i	−0.222425	−	0.107114i
$472$	11.0357	−	19.2926i	0.507957	−	0.888014i
$473$	−10.6027	−	13.2954i	−0.487512	−	0.611321i
$474$	−13.7064	+	26.8236i	−0.629557	+	1.23205i
$475$	16.5261	−	20.7230i	0.758268	−	0.950838i
$476$	1.73903	+	0.484274i	0.0797085	+	0.0221967i
$477$	15.1041	+	12.0451i	0.691571	+	0.551509i
$478$	0.851573	−	0.385615i	0.0389500	−	0.0176376i
$479$	−15.2399	−	3.47841i	−0.696330	−	0.158933i	−0.140317	−	0.990107i	$-0.544812\pi$
$479$	−15.2399	−	3.47841i	−0.696330	−	0.158933i	−0.556013	+	0.831174i	$0.687669\pi$
$480$	22.5571	−	35.4429i	1.02959	−	1.61774i
$481$			31.4768i			1.43522i
$482$	14.3573	+	0.338842i	0.653956	+	0.0154338i
$483$	−2.15720	+	1.03885i	−0.0981561	+	0.0472695i
$484$	13.3284	−	5.66043i	0.605839	−	0.257292i
$485$	11.0061	+	13.8012i	0.499759	+	0.626678i
$486$	−5.99035	−	29.4299i	−0.271728	−	1.33497i
$487$	3.00850	−	13.1811i	0.136328	−	0.597292i	−0.859896	−	0.510470i	$-0.829472\pi$
$487$	3.00850	−	13.1811i	0.136328	−	0.597292i	0.996224	−	0.0868227i	$-0.0276713\pi$
$488$	18.2922	+	26.5999i	0.828050	+	1.20412i
$489$	−35.5191	+	17.1051i	−1.60623	+	0.773519i
$490$	−28.6132	+	5.82412i	−1.29261	+	0.263107i
$491$	−3.34357	−	14.6492i	−0.150893	−	0.661107i	−0.992626	−	0.121213i	$-0.961322\pi$
$491$	−3.34357	−	14.6492i	−0.150893	−	0.661107i	0.841733	−	0.539894i	$-0.181536\pi$
$492$	−22.5450	−	6.27819i	−1.01641	−	0.283042i
$493$	−3.84576	−	7.02031i	−0.173204	−	0.316179i
$494$	−38.7402	+	29.4262i	−1.74300	+	1.32395i
$495$	−15.8292	+	3.61292i	−0.711471	+	0.162389i
$496$	−7.20777	+	4.71009i	−0.323639	+	0.211489i
$497$	1.05575	−	0.508423i	0.0473569	−	0.0228059i
$498$	31.2649	+	26.1632i	1.40101	+	1.17240i
$499$	−25.0488	−	5.71724i	−1.12134	−	0.255939i	−0.378628	−	0.925549i	$-0.623604\pi$
$499$	−25.0488	−	5.71724i	−1.12134	−	0.255939i	−0.742713	+	0.669610i	$0.766461\pi$
$500$	−1.42823	−	1.25364i	−0.0638722	−	0.0560645i
$501$	−0.807134	−	1.01211i	−0.0360601	−	0.0452179i
$502$	−5.95273	+	23.5092i	−0.265683	+	1.04927i
$503$	9.35715	+	19.4303i	0.417215	+	0.866355i	0.998609	+	0.0527332i	$0.0167933\pi$
$503$	9.35715	+	19.4303i	0.417215	+	0.866355i	−0.581394	+	0.813622i	$0.697492\pi$
$504$	−1.34373	+	4.41911i	−0.0598544	+	0.196843i
$505$		−	12.2583i		−	0.545485i
$506$	4.53179	+	0.106954i	0.201463	+	0.00475467i
$507$	12.8050	−	56.1023i	0.568689	−	2.49159i
$508$	−4.30965	+	7.96448i	−0.191210	+	0.353366i
$509$	23.8177	+	18.9940i	1.05570	+	0.841895i	0.987789	−	0.155796i	$-0.0497944\pi$
$509$	23.8177	+	18.9940i	1.05570	+	0.841895i	0.0679135	+	0.997691i	$0.478366\pi$
$510$	−9.44323	−	12.4322i	−0.418153	−	0.550509i
$511$	5.00802	+	3.99376i	0.221542	+	0.176674i
$512$	0.272253	+	22.6258i	0.0120320	+	0.999928i
$513$	2.60860	+	3.27108i	0.115172	+	0.144422i
$514$	−6.60532	+	26.0865i	−0.291348	+	1.15063i
$515$	9.35395	−	19.4237i	0.412184	−	0.855910i
$516$	36.7964	+	19.9108i	1.61987	+	0.876526i
$517$	22.3877	−	5.10985i	0.984611	−	0.224731i
$518$	−3.95045	−	2.01861i	−0.173573	−	0.0886926i
$519$	18.8471	−	39.1365i	0.827298	−	1.71790i
$520$	−30.4054	−	44.2145i	−1.33337	−	1.93893i
$521$	3.22094			0.141112			0.0705561	−	0.997508i	$-0.477523\pi$
$521$	3.22094			0.141112			0.0705561	+	0.997508i	$0.477523\pi$
$522$	18.1897	−	9.41342i	0.796142	−	0.412014i
$523$			4.84035i			0.211654i	0.994385	+	0.105827i	$0.0337489\pi$
$523$			4.84035i			0.211654i	−0.994385	+	0.105827i	$0.966251\pi$
$524$	−21.0828	−	0.995694i	−0.921007	−	0.0434971i
$525$	−6.12649	−	2.95036i	−0.267382	−	0.128764i
$526$	7.64714	−	14.9656i	0.333431	−	0.652529i
$527$	0.711987	+	3.11942i	0.0310147	+	0.135884i
$528$	12.8462	−	13.3123i	0.559059	−	0.579341i
$529$	18.2602	+	8.79363i	0.793920	+	0.382332i
$530$	7.76445	−	30.6643i	0.337266	−	1.33197i
$531$	16.5222	−	13.1760i	0.717002	−	0.571790i
$532$	−1.20867	−	6.74912i	−0.0524024	−	0.292611i
$533$	−18.6370	+	23.3700i	−0.807257	+	1.01227i
$534$	18.1257	−	13.7678i	0.784374	−	0.595792i
$535$	20.9622	−	26.2858i	0.906277	−	1.13643i
$536$	−36.5918	+	5.66552i	−1.58053	+	0.244713i
$537$	−43.3082	−	9.88481i	−1.86889	−	0.426561i
$538$	−15.3170	−	0.361492i	−0.660361	−	0.0155850i
$539$	−12.8580			−0.553833
$540$	−3.73976	+	2.70390i	−0.160934	+	0.116357i
$541$	34.1991	−	16.4694i	1.47033	−	0.708075i	0.484343	−	0.874878i	$-0.339059\pi$
$541$	34.1991	−	16.4694i	1.47033	−	0.708075i	0.985990	+	0.166803i	$0.0533443\pi$
$542$	−28.9978	−	7.34247i	−1.24556	−	0.315386i
$543$	−46.7674	+	37.2958i	−2.00698	+	1.60052i
$544$	7.92046	+	2.82300i	0.339587	+	0.121035i
$545$	2.98695	−	13.0867i	0.127947	−	0.560572i
$546$	9.57137	+	8.00955i	0.409617	+	0.342777i
$547$	1.22461	+	2.54293i	0.0523606	+	0.108728i	0.925508	−	0.378729i	$-0.123639\pi$
$547$	1.22461	+	2.54293i	0.0523606	+	0.108728i	−0.873147	+	0.487457i	$0.837925\pi$
$548$	−31.7524	−	27.8710i	−1.35640	−	1.19059i
$549$	6.83021	+	29.9251i	0.291506	+	1.27717i
$550$	7.78705	+	10.2518i	0.332041	+	0.437140i
$551$	−17.6861	+	24.7296i	−0.753454	+	1.05352i
$552$	−10.3652	+	4.11609i	−0.441172	+	0.175192i
$553$	−5.28656	+	1.20662i	−0.224807	+	0.0513108i
$554$	8.77843	−	1.78682i	0.372960	−	0.0759146i
$555$	16.6467	+	34.5672i	0.706612	+	1.46730i
$556$	−0.823035	+	17.4269i	−0.0349045	+	0.739066i
$557$	28.5554	+	6.51757i	1.20993	+	0.276158i	0.779463	−	0.626448i	$-0.215492\pi$
$557$	28.5554	+	6.51757i	1.20993	+	0.276158i	0.430466	+	0.902607i	$0.358349\pi$
$558$	−8.02228	+	1.63291i	−0.339610	+	0.0691264i
$559$	41.7792	−	33.3178i	1.76707	−	1.40919i
$560$	7.49896	−	0.980501i	0.316889	−	0.0414337i
$561$	−2.98280	−	6.19384i	−0.125934	−	0.261504i
$562$	−4.05774	−	0.0957657i	−0.171166	−	0.00403963i
$563$	2.97179			0.125246			0.0626230	−	0.998037i	$-0.480053\pi$
$563$	2.97179			0.125246			0.0626230	+	0.998037i	$0.480053\pi$
$564$	−45.7832	+	33.1020i	−1.92782	+	1.39384i
$565$	4.21603	−	18.4716i	0.177370	−	0.777107i
$566$	−18.5566	−	40.9794i	−0.779992	−	1.72249i
$567$	3.72374	−	4.66943i	0.156382	−	0.196097i
$568$	5.07280	−	2.01444i	0.212850	−	0.0845242i
$569$	14.5493	+	11.6027i	0.609940	+	0.486411i	0.879070	−	0.476693i	$-0.158165\pi$
$569$	14.5493	+	11.6027i	0.609940	+	0.486411i	−0.269130	+	0.963104i	$0.586736\pi$
$570$	−26.9815	+	52.8031i	−1.13013	+	2.21168i
$571$	−9.05276	+	7.21934i	−0.378846	+	0.302120i	−0.794337	−	0.607478i	$-0.792181\pi$
$571$	−9.05276	+	7.21934i	−0.378846	+	0.302120i	0.415490	+	0.909598i	$0.363610\pi$
$572$	−9.23646	−	21.7488i	−0.386196	−	0.909364i
$573$	−11.7060	+	24.3078i	−0.489025	+	1.01547i
$574$	−1.73782	−	3.83772i	−0.0725354	−	0.160183i
$575$	−1.72699	−	7.56645i	−0.0720205	−	0.315543i
$576$	−7.69922	+	20.0897i	−0.320801	+	0.837069i
$577$	2.38399	−	4.95040i	0.0992467	−	0.206088i	−0.845434	−	0.534081i	$-0.820658\pi$
$577$	2.38399	−	4.95040i	0.0992467	−	0.206088i	0.944680	+	0.327993i	$0.106372\pi$
$578$	−13.4237	+	16.0413i	−0.558354	+	0.667230i
$579$		−	37.8006i		−	1.57094i
$580$	−26.3264	−	20.7731i	−1.09314	−	0.862555i
$581$			7.33878i			0.304464i
$582$	−14.6662	−	12.2730i	−0.607933	−	0.508733i
$583$	6.04354	−	12.5495i	0.250298	−	0.519749i
$584$	21.9528	+	20.2060i	0.908414	+	0.836130i
$585$	−11.3532	−	49.7416i	−0.469397	−	2.05656i
$586$	18.2675	−	8.27202i	0.754624	−	0.341714i
$587$	13.4866	−	28.0052i	0.556651	−	1.15590i	−0.412847	−	0.910800i	$-0.635466\pi$
$587$	13.4866	−	28.0052i	0.556651	−	1.15590i	0.969498	−	0.245098i	$-0.0788200\pi$
$588$	29.1172	−	12.3657i	1.20077	−	0.509954i
$589$	9.50146	−	7.57716i	0.391501	−	0.312212i
$590$	−30.8123	−	15.7445i	−1.26852	−	0.648193i
$591$	51.4481	+	41.0285i	2.11629	+	1.68769i
$592$	−17.6898	−	10.6805i	−0.727045	−	0.438966i
$593$	0.394239	−	0.494360i	0.0161895	−	0.0203009i	−0.773671	−	0.633588i	$-0.781582\pi$
$593$	0.394239	−	0.494360i	0.0161895	−	0.0203009i	0.789860	+	0.613287i	$0.210153\pi$
$594$	−1.85117	+	0.838260i	−0.0759544	+	0.0343942i
$595$	0.625370	−	2.73993i	0.0256377	−	0.112326i
$596$	−2.22223	+	1.60671i	−0.0910263	+	0.0658133i
$597$	17.1129			0.700384
$598$	−0.336090	+	14.2407i	−0.0137437	+	0.582344i
$599$	−7.11916	−	14.7831i	−0.290881	−	0.604020i	0.703403	−	0.710791i	$-0.251663\pi$
$599$	−7.11916	−	14.7831i	−0.290881	−	0.604020i	−0.994284	+	0.106771i	$0.965949\pi$
$600$	−27.4933	−	15.7266i	−1.12241	−	0.642034i
$601$	32.1090	−	25.6060i	1.30975	−	1.04449i	0.314291	−	0.949327i	$-0.398233\pi$
$601$	32.1090	−	25.6060i	1.30975	−	1.04449i	0.995461	−	0.0951658i	$-0.0303381\pi$
$602$	1.50219	+	7.38010i	0.0612248	+	0.300790i
$603$	−34.3239	−	7.83421i	−1.39778	−	0.319034i
$604$	−12.7286	−	0.601141i	−0.517918	−	0.0244601i
$605$	−9.78138	−	20.3113i	−0.397670	−	0.825770i
$606$	2.64881	+	13.0133i	0.107601	+	0.528630i
$607$	−28.1365	+	6.42198i	−1.14203	+	0.260660i	−0.751373	−	0.659878i	$-0.770608\pi$
$607$	−28.1365	+	6.42198i	−1.14203	+	0.260660i	−0.390653	+	0.920538i	$0.627751\pi$
$608$	−3.39226	−	31.7564i	−0.137574	−	1.28789i
$609$	7.19481	+	3.01178i	0.291548	+	0.122044i
$610$	40.0219	−	30.3997i	1.62044	−	1.23085i
$611$	16.0572	+	70.3510i	0.649603	+	2.84610i
$612$	6.00858	+	5.27409i	0.242882	+	0.213192i
$613$	−3.41560	−	7.09256i	−0.137955	−	0.286466i	0.820533	−	0.571599i	$-0.193677\pi$
$613$	−3.41560	−	7.09256i	−0.137955	−	0.286466i	−0.958488	+	0.285133i	$0.907962\pi$
$614$	3.40050	−	4.06358i	0.137233	−	0.163993i
$615$	−8.10737	+	35.5207i	−0.326921	+	1.43233i
$616$	3.32188	+	0.235546i	0.133842	+	0.00949044i
$617$	−7.97181	+	6.35731i	−0.320933	+	0.255936i	−0.770683	−	0.637219i	$-0.780085\pi$
$617$	−7.97181	+	6.35731i	−0.320933	+	0.255936i	0.449750	+	0.893155i	$0.351513\pi$
$618$	−5.73298	+	22.6414i	−0.230614	+	0.910769i
$619$	−18.4613	+	8.89050i	−0.742023	+	0.357339i	−0.766400	−	0.642363i	$-0.777954\pi$
$619$	−18.4613	+	8.89050i	−0.742023	+	0.357339i	0.0243772	+	0.999703i	$0.492240\pi$
$620$	7.85399	+	10.8628i	0.315424	+	0.436262i
$621$	1.22506			0.0491599
$622$	0.410636	−	17.3993i	0.0164650	−	0.697648i
$623$	3.99469	+	0.911762i	0.160044	+	0.0365290i
$624$	41.8323	+	40.3678i	1.67463	+	1.61601i
$625$	−16.4805	+	20.6659i	−0.659221	+	0.826637i
$626$	−17.3658	−	22.8625i	−0.694079	−	0.913771i
$627$	−16.2800	+	20.4145i	−0.650162	+	0.815278i
$628$	−0.791934	−	4.42211i	−0.0316016	−	0.176461i
$629$	−6.00360	+	4.78771i	−0.239379	+	0.190899i
$630$	6.97082	+	1.76507i	0.277724	+	0.0703220i
$631$	−19.4024	−	9.34370i	−0.772397	−	0.371967i	0.00580310	−	0.999983i	$-0.498153\pi$
$631$	−19.4024	−	9.34370i	−0.772397	−	0.371967i	−0.778200	+	0.628016i	$0.783867\pi$
$632$	−24.9603	+	3.86460i	−0.992866	+	0.153726i
$633$	−1.74887	−	7.66231i	−0.0695114	−	0.304549i
$634$	2.06899	+	1.05722i	0.0821700	+	0.0419875i
$635$	12.7020	+	6.11697i	0.504064	+	0.242744i
$636$	−1.61665	+	34.2309i	−0.0641042	+	1.35734i
$637$		−	40.4049i		−	1.60090i
$638$	−9.53523	−	11.2757i	−0.377503	−	0.446410i
$639$	5.18968			0.205301
$640$	35.1652	−	2.08510i	1.39003	−	0.0824207i
$641$	18.5392	−	38.4971i	0.732255	−	1.52054i	−0.117331	−	0.993093i	$-0.537434\pi$
$641$	18.5392	−	38.4971i	0.732255	−	1.52054i	0.849586	−	0.527450i	$-0.176852\pi$
$642$	−16.5735	+	32.4345i	−0.654103	+	1.28009i
$643$	40.8172	−	9.31625i	1.60967	−	0.367397i	0.679256	−	0.733902i	$-0.262303\pi$
$643$	40.8172	−	9.31625i	1.60967	−	0.367397i	0.930416	+	0.366504i	$0.119446\pi$
$644$	−1.76570	−	0.955434i	−0.0695782	−	0.0376494i
$645$	28.2608	−	58.6841i	1.11277	−	2.31068i
$646$	−11.5050	−	2.91315i	−0.452656	−	0.114616i
$647$	24.4061	+	30.6043i	0.959505	+	1.20318i	0.979101	+	0.203373i	$0.0651903\pi$
$647$	24.4061	+	30.6043i	0.959505	+	1.20318i	−0.0195967	+	0.999808i	$0.506238\pi$
$648$	18.8399	−	20.4686i	0.740100	−	0.804082i
$649$	−11.9125	−	9.49991i	−0.467607	−	0.372904i
$650$	−32.2153	+	24.4700i	−1.26359	+	0.959791i
$651$	−2.43754	−	1.94387i	−0.0955348	−	0.0761865i
$652$	−29.0728	−	15.7315i	−1.13858	−	0.616095i
$653$	3.96593	−	17.3759i	0.155199	−	0.679971i	−0.836126	−	0.548537i	$-0.815185\pi$
$653$	3.96593	−	17.3759i	0.155199	−	0.679971i	0.991325	−	0.131433i	$-0.0419579\pi$
$654$	−0.343113	+	14.5382i	−0.0134168	+	0.568489i
$655$			32.8588i			1.28390i
$656$	−6.81004	−	18.4036i	−0.265887	−	0.718540i
$657$	12.3088	+	25.5594i	0.480211	+	0.997169i
$658$	−9.85902	−	2.49639i	−0.384345	−	0.0973192i
$659$	−2.30796	−	2.89408i	−0.0899052	−	0.112738i	0.734844	−	0.678236i	$-0.237255\pi$
$659$	−2.30796	−	2.89408i	−0.0899052	−	0.112738i	−0.824749	+	0.565498i	$0.808684\pi$
$660$	−21.6453	−	18.9993i	−0.842541	−	0.739549i
$661$	−9.83798	−	2.24546i	−0.382653	−	0.0873381i	0.0268673	−	0.999639i	$-0.491447\pi$
$661$	−9.83798	−	2.24546i	−0.382653	−	0.0873381i	−0.409521	+	0.912301i	$0.634304\pi$
$662$	−19.4301	+	23.2189i	−0.755173	+	0.902427i
$663$	19.4635	−	9.37312i	0.755899	−	0.364022i
$664$	−2.41780	+	34.0979i	−0.0938288	+	1.32326i
$665$	−10.4067	+	2.37527i	−0.403556	+	0.0921090i
$666$	−11.8843	−	15.6459i	−0.460506	−	0.606266i
$667$	2.43242	+	8.56346i	0.0941836	+	0.331579i
$668$	0.291193	−	1.04568i	0.0112666	−	0.0404585i
$669$	4.16355	+	18.2417i	0.160972	+	0.705265i
$670$	11.4978	+	56.4876i	0.444201	+	2.18231i
$671$	19.9392	−	9.60223i	0.769746	−	0.370690i
$672$	−7.74900	+	2.66130i	−0.298924	+	0.102662i
$673$	5.88289	−	25.7746i	0.226769	−	0.993539i	−0.725487	−	0.688236i	$-0.758385\pi$
$673$	5.88289	−	25.7746i	0.226769	−	0.993539i	0.952255	−	0.305303i	$-0.0987576\pi$
$674$	−7.95847	+	1.61992i	−0.306549	+	0.0623969i
$675$	2.16924	+	2.72014i	0.0834940	+	0.104698i
$676$	44.4121	−	18.8613i	1.70816	−	0.725433i
$677$	17.7205	−	8.53376i	0.681056	−	0.327979i	−0.0611717	−	0.998127i	$-0.519484\pi$
$677$	17.7205	−	8.53376i	0.681056	−	0.327979i	0.742227	+	0.670148i	$0.233769\pi$
$678$	−0.484297	+	20.5204i	−0.0185993	+	0.788082i
$679$		−	3.44258i		−	0.132114i
$680$	3.80832	−	12.5244i	0.146042	−	0.480288i
$681$	38.0460	+	8.68374i	1.45792	+	0.332762i
$682$	2.43488	+	5.37707i	0.0932365	+	0.205899i
$683$	−33.5846	−	26.7828i	−1.28508	−	1.02481i	−0.997754	−	0.0669812i	$-0.978663\pi$
$683$	−33.5846	−	26.7828i	−1.28508	−	1.02481i	−0.287323	−	0.957834i	$-0.592765\pi$
$684$	8.14621	−	29.2531i	0.311478	−	1.11852i
$685$	−41.0100	+	51.4249i	−1.56691	+	1.96484i
$686$	10.4238	+	5.32641i	0.397984	+	0.203363i
$687$	34.7960	+	43.6328i	1.32755	+	1.66469i
$688$	4.54817	+	34.7848i	0.173397	+	1.32616i
$689$	39.4356	+	18.9912i	1.50238	+	0.723506i
$690$	7.16216	+	15.8165i	0.272659	+	0.602125i
$691$	17.4314	−	3.97861i	0.663123	−	0.151353i	0.122304	−	0.992493i	$-0.460972\pi$
$691$	17.4314	−	3.97861i	0.663123	−	0.151353i	0.540819	+	0.841139i	$0.318114\pi$
$692$	35.8523	−	6.42063i	1.36290	−	0.244076i
$693$	2.85285	+	1.37386i	0.108371	+	0.0521886i
$694$	27.9846	+	23.4182i	1.06228	+	0.888943i
$695$	27.1609			1.03027
$696$	32.4367	+	16.3639i	1.22951	+	0.620273i
$697$	−7.29212			−0.276209
$698$	−4.92195	−	4.11880i	−0.186298	−	0.155899i
$699$	−7.26620	−	3.49922i	−0.274833	−	0.132353i
$700$	−1.00509	−	5.61238i	−0.0379890	−	0.212128i
$701$	7.89114	−	1.80110i	0.298044	−	0.0680267i	−0.0708838	−	0.997485i	$-0.522582\pi$
$701$	7.89114	−	1.80110i	0.298044	−	0.0680267i	0.368928	+	0.929458i	$0.379725\pi$
$702$	−2.63414	−	5.81710i	−0.0994192	−	0.219552i
$703$	26.2775	+	12.6546i	0.991075	+	0.477277i
$704$	15.3567	+	2.18882i	0.578779	+	0.0824944i
$705$	54.8391	+	68.7661i	2.06536	+	2.58988i
$706$	27.2247	+	13.9114i	1.02462	+	0.523561i
$707$	−1.49053	+	1.86906i	−0.0560571	+	0.0702933i
$708$	36.1123	+	10.0563i	1.35718	+	0.377939i
$709$	−18.1773	−	14.4959i	−0.682664	−	0.544406i	0.219600	−	0.975590i	$-0.429525\pi$
$709$	−18.1773	−	14.4959i	−0.682664	−	0.544406i	−0.902264	+	0.431184i	$0.858096\pi$
$710$	−3.50521	−	7.74073i	−0.131548	−	0.290504i
$711$	−23.4133	−	5.34392i	−0.878065	−	0.200413i
$712$	18.2600	+	5.55236i	0.684323	+	0.208084i
$713$		−	3.55842i		−	0.133264i
$714$	−0.0718365	+	3.04383i	−0.00268842	+	0.113912i
$715$	−33.1431	+	15.9609i	−1.23948	+	0.596903i
$716$	−14.5600	−	34.2839i	−0.544132	−	1.28125i
$717$	0.983035	+	1.23269i	0.0367121	+	0.0460355i
$718$	12.4338	−	2.53086i	0.464026	−	0.0944508i
$719$	−3.25975	+	14.2819i	−0.121568	+	0.532625i	0.877066	+	0.480371i	$0.159498\pi$
$719$	−3.25975	+	14.2819i	−0.121568	+	0.532625i	−0.998634	+	0.0522544i	$0.983359\pi$
$720$	31.8068	+	10.4975i	1.18537	+	0.391220i
$721$	−3.78803	+	1.82422i	−0.141074	+	0.0679375i
$722$	3.63149	+	17.8411i	0.135150	+	0.663977i
$723$	5.38987	+	23.6146i	0.200451	+	0.878235i
$724$	−48.3184	−	13.4554i	−1.79574	−	0.500065i
$725$	−14.7073	+	20.5645i	−0.546215	+	0.763745i
$726$	14.7728	+	19.4488i	0.548271	+	0.721811i
$727$	12.9778	−	2.96210i	0.481320	−	0.109858i	0.0250252	−	0.999687i	$-0.492033\pi$
$727$	12.9778	−	2.96210i	0.481320	−	0.109858i	0.456295	+	0.889829i	$0.349176\pi$
$728$	−0.740180	+	10.4387i	−0.0274329	+	0.386882i
$729$	19.0537	−	9.17576i	0.705691	−	0.339843i
$730$	29.8099	−	35.6227i	1.10331	−	1.31845i
$731$	12.7095	+	2.90085i	0.470076	+	0.107292i
$732$	−35.9182	+	40.9203i	−1.32758	+	1.51246i
$733$	24.4779	+	30.6943i	0.904112	+	1.13372i	0.990507	+	0.137459i	$0.0438936\pi$
$733$	24.4779	+	30.6943i	0.904112	+	1.13372i	−0.0863958	+	0.996261i	$0.527535\pi$
$734$	20.1446	+	5.10077i	0.743550	+	0.188273i
$735$	−21.3683	−	44.3718i	−0.788182	−	1.63668i
$736$	−7.88912	−	5.02092i	−0.290797	−	0.185074i
$737$			25.3840i			0.935031i
$738$	0.440220	−	18.6528i	0.0162047	−	0.686619i
$739$	2.44376	−	10.7068i	0.0898951	−	0.393856i	−0.909884	−	0.414862i	$-0.863830\pi$
$739$	2.44376	−	10.7068i	0.0898951	−	0.393856i	0.999779	+	0.0210061i	$0.00668695\pi$
$740$	−15.3100	+	28.2937i	−0.562805	+	1.04010i
$741$	−64.1504	−	51.1583i	−2.35663	−	1.87935i
$742$	−4.91246	+	3.73139i	−0.180342	+	0.136984i
$743$	−20.1663	−	16.0821i	−0.739829	−	0.589994i	0.179372	−	0.983781i	$-0.442593\pi$
$743$	−20.1663	−	16.0821i	−0.739829	−	0.589994i	−0.919202	+	0.393787i	$0.871165\pi$
$744$	−10.6850	−	9.83482i	−0.391733	−	0.360562i
$745$	2.66179	+	3.33778i	0.0975204	+	0.122287i
$746$	−5.35546	−	1.35605i	−0.196077	−	0.0496484i
$747$	−14.1022	+	29.2835i	−0.515971	+	1.07143i
$748$	2.74328	−	5.06973i	0.100304	−	0.185368i
$749$	−6.39238	+	1.45902i	−0.233572	+	0.0533114i
$750$	1.45843	−	2.85417i	0.0532544	−	0.104220i
$751$	9.37269	−	19.4626i	0.342014	−	0.710200i	−0.657032	−	0.753863i	$-0.728188\pi$
$751$	9.37269	−	19.4626i	0.342014	−	0.710200i	0.999046	+	0.0436628i	$0.0139027\pi$
$752$	−44.9852	−	14.8470i	−1.64044	−	0.541413i
$753$	−40.9023			−1.49056
$754$	35.4327	−	29.9634i	1.29038	−	1.09120i
$755$			19.8382i			0.721987i
$756$	0.898992	+	0.0424574i	0.0326960	+	0.00154416i
$757$	−5.49974	−	2.64853i	−0.199891	−	0.0962626i	0.331260	−	0.943539i	$-0.392526\pi$
$757$	−5.49974	−	2.64853i	−0.199891	−	0.0962626i	−0.531152	+	0.847277i	$0.678241\pi$
$758$	−16.7413	−	8.55450i	−0.608070	−	0.310714i
$759$	1.70128	+	7.45381i	0.0617526	+	0.270556i
$760$	−49.1350	+	7.60758i	−1.78231	+	0.275956i
$761$	−3.43927	−	1.65627i	−0.124673	−	0.0600396i	0.370507	−	0.928830i	$-0.379184\pi$
$761$	−3.43927	−	1.65627i	−0.124673	−	0.0600396i	−0.495181	+	0.868790i	$0.664898\pi$
$762$	−14.8062	−	3.74905i	−0.536372	−	0.135814i
$763$	−2.04669	+	1.63218i	−0.0740952	+	0.0590890i
$764$	−22.2680	+	3.98786i	−0.805627	+	0.144276i
$765$	7.76041	−	9.73124i	0.280578	−	0.351834i
$766$	2.24977	+	2.96187i	0.0812875	+	0.107017i
$767$	29.8525	−	37.4338i	1.07791	−	1.35166i
$768$	−36.8807	+	9.81217i	−1.33082	+	0.354066i
$769$	−31.1205	−	7.10304i	−1.12223	−	0.256142i	−0.379146	−	0.925337i	$-0.623782\pi$
$769$	−31.1205	−	7.10304i	−1.12223	−	0.256142i	−0.743087	+	0.669195i	$0.766639\pi$
$770$	0.122326	−	5.18313i	0.00440831	−	0.186787i
$771$	−45.3863			−1.63455
$772$	25.6853	−	18.5709i	0.924434	−	0.668380i
$773$	−1.99568	+	0.961070i	−0.0717797	+	0.0345673i	−0.469429	−	0.882970i	$-0.655540\pi$
$773$	−1.99568	+	0.961070i	−0.0717797	+	0.0345673i	0.397650	+	0.917537i	$0.369826\pi$
$774$	−8.18747	+	32.3349i	−0.294293	+	1.16226i
$775$	7.90115	−	6.30096i	0.283818	−	0.226337i
$776$	1.13418	−	15.9951i	0.0407146	−	0.574192i
$777$	1.66497	−	7.29472i	0.0597306	−	0.261697i
$778$	−1.93394	+	2.31105i	−0.0693352	+	0.0828551i
$779$	12.0172	+	24.9539i	0.430560	+	0.894068i
$780$	59.7034	−	68.0179i	2.13772	−	2.43543i
$781$	−0.832620	−	3.64795i	−0.0297935	−	0.130534i
$782$	−2.76725	+	2.10194i	−0.0989567	+	0.0751652i
$783$	−2.64808	−	2.98562i	−0.0946347	−	0.106697i
$784$	22.7073	+	13.7099i	0.810974	+	0.489639i
$785$	−6.81863	+	1.55631i	−0.243367	+	0.0555470i
$786$	−7.10027	−	34.8828i	−0.253258	−	1.24423i
$787$	−21.7971	−	45.2621i	−0.776982	−	1.61342i	−0.789695	−	0.613500i	$-0.789761\pi$
$787$	−21.7971	−	45.2621i	−0.776982	−	1.61342i	0.0127129	−	0.999919i	$-0.495953\pi$
$788$	−2.60297	+	55.1153i	−0.0927271	+	1.96340i
$789$	27.6347	+	6.30745i	0.983823	+	0.224551i
$790$	7.84299	+	38.5317i	0.279041	+	1.37090i
$791$	−2.88887	+	2.30379i	−0.102716	+	0.0819135i
$792$	12.8025	+	7.32320i	0.454916	+	0.260219i
$793$	30.1740	+	62.6569i	1.07151	+	2.22501i
$794$	0.582455	−	24.6795i	0.0206705	−	0.875843i
$795$	53.3509			1.89216
$796$	8.40730	+	11.6281i	0.297989	+	0.412148i
$797$	−11.7203	+	51.3498i	−0.415153	+	1.81890i	0.143683	+	0.989624i	$0.454106\pi$
$797$	−11.7203	+	51.3498i	−0.415153	+	1.81890i	−0.558835	+	0.829279i	$0.688752\pi$
$798$	10.5345	−	4.77031i	0.372917	−	0.168867i
$799$	−10.9758	+	13.7632i	−0.388294	+	0.486906i
$800$	−2.82091	−	26.4077i	−0.0997341	−	0.933654i
$801$	14.1877	+	11.3143i	0.501299	+	0.399772i
$802$	−25.6631	−	13.1134i	−0.906197	−	0.463051i
$803$	15.9915	−	12.7528i	0.564329	−	0.450038i
$804$	−24.4121	−	57.4825i	−0.860950	−	2.02725i
$805$	−1.35611	+	2.81599i	−0.0477966	+	0.0992506i
$806$	−16.8969	+	7.65136i	−0.595167	+	0.269508i
$807$	−5.75015	−	25.1931i	−0.202415	−	0.886838i
$808$	−7.54116	+	8.19310i	−0.265297	+	0.288232i
$809$	−3.71478	+	7.71382i	−0.130605	+	0.271204i	−0.956008	−	0.293340i	$-0.905233\pi$
$809$	−3.71478	+	7.71382i	−0.130605	+	0.271204i	0.825404	+	0.564543i	$0.190948\pi$
$810$	−33.2142	−	27.7944i	−1.16703	−	0.976597i
$811$			11.8440i			0.415898i	0.978140	+	0.207949i	$0.0666789\pi$
$811$			11.8440i			0.415898i	−0.978140	+	0.207949i	$0.933321\pi$
$812$	1.48821	+	6.36847i	0.0522258	+	0.223490i
$813$		−	50.4514i		−	1.76941i
$814$	−9.09118	+	10.8639i	−0.318646	+	0.380780i
$815$	−22.3288	+	46.3662i	−0.782144	+	1.62414i
$816$	−1.33658	+	14.1188i	−0.0467895	+	0.494255i
$817$	−11.0180	−	48.2729i	−0.385470	−	1.68885i
$818$	−13.4812	−	29.7712i	−0.471359	−	1.04092i
$819$	−4.31721	+	8.96477i	−0.150855	+	0.313254i
$820$	−28.1192	+	11.9419i	−0.981964	+	0.417028i
$821$	−1.71153	+	1.36490i	−0.0597327	+	0.0476353i	−0.652901	−	0.757443i	$-0.726448\pi$
$821$	−1.71153	+	1.36490i	−0.0597327	+	0.0476353i	0.593168	+	0.805078i	$0.297877\pi$
$822$	32.4240	−	63.4541i	1.13092	−	2.21322i
$823$	−34.5347	−	27.5405i	−1.20380	−	0.960001i	−0.203983	−	0.978974i	$-0.565389\pi$
$823$	−34.5347	−	27.5405i	−1.20380	−	0.960001i	−0.999820	+	0.0189731i	$0.993960\pi$
$824$	−18.2012	+	7.22782i	−0.634069	+	0.251793i
$825$	−13.5380	+	16.9762i	−0.471334	+	0.591034i
$826$	2.78362	+	6.14721i	0.0968546	+	0.213889i
$827$	−8.36514	+	36.6501i	−0.290884	+	1.27445i	0.592413	+	0.805634i	$0.298175\pi$
$827$	−8.36514	+	36.6501i	−0.290884	+	1.27445i	−0.883297	+	0.468813i	$0.844682\pi$
$828$	−5.20958	−	7.20536i	−0.181046	−	0.250404i
$829$	25.9999			0.903015			0.451507	−	0.892267i	$-0.350886\pi$
$829$	25.9999			0.903015			0.451507	+	0.892267i	$0.350886\pi$
$830$	53.2030	+	1.25563i	1.84670	+	0.0435835i
$831$	6.55572	+	13.6131i	0.227415	+	0.472233i
$832$	−6.87814	+	48.2569i	−0.238457	+	1.67301i
$833$	7.70645	−	6.14569i	0.267013	−	0.212935i
$834$	−28.8340	+	5.86904i	−0.998438	+	0.203228i
$835$	−1.64751	−	0.376034i	−0.0570146	−	0.0130132i
$836$	−21.8697	−	1.03286i	−0.756379	−	0.0357221i
$837$	0.692131	+	1.43722i	0.0239235	+	0.0496778i
$838$	−13.2882	+	2.70476i	−0.459033	+	0.0934345i
$839$	9.32081	−	2.12741i	0.321790	−	0.0734465i	−0.0585747	−	0.998283i	$-0.518656\pi$
$839$	9.32081	−	2.12741i	0.321790	−	0.0734465i	0.380365	+	0.924837i	$0.375798\pi$
$840$	4.70769	+	11.8550i	0.162431	+	0.409035i
$841$	15.6123	−	24.4388i	0.538355	−	0.842718i
$842$	−18.1743	−	23.9269i	−0.626329	−	0.824576i
$843$	−1.52332	−	6.67410i	−0.0524659	−	0.229868i
$844$	4.34730	−	4.95272i	0.149640	−	0.170480i
$845$	−32.5928	−	67.6796i	−1.12123	−	2.32825i
$846$	−34.5428	−	28.9062i	−1.18761	−	0.993817i
$847$	−0.978317	+	4.28629i	−0.0336154	+	0.147279i
$848$	−24.0539	+	15.7186i	−0.826015	+	0.539779i
$849$	59.3194	−	47.3057i	2.03584	−	1.62353i
$850$	−9.56720	−	2.42249i	−0.328152	−	0.0830909i
$851$	7.69420	−	3.70533i	0.263754	−	0.127017i
$852$	5.39377	+	7.46011i	0.184787	+	0.255579i
$853$	−32.7909			−1.12274			−0.561370	−	0.827565i	$-0.689725\pi$
$853$	−32.7909			−1.12274			−0.561370	+	0.827565i	$0.689725\pi$
$854$	−9.79870	−	0.231257i	−0.335305	−	0.00791344i
$855$	−46.0897	−	10.5197i	−1.57623	−	0.359765i
$856$	−30.1814	+	4.67299i	−1.03158	+	0.159719i
$857$	0.560928	−	0.703381i	0.0191609	−	0.0240270i	−0.772159	−	0.635430i	$-0.780823\pi$
$857$	0.560928	−	0.703381i	0.0191609	−	0.0240270i	0.791320	+	0.611403i	$0.209394\pi$
$858$	31.7357	−	24.1057i	1.08344	−	0.822955i
$859$	8.08197	−	10.1345i	0.275753	−	0.345784i	−0.624599	−	0.780946i	$-0.714737\pi$
$859$	8.08197	−	10.1345i	0.275753	−	0.345784i	0.900352	+	0.435162i	$0.143309\pi$
$860$	53.7596	−	9.62755i	1.83319	−	0.328297i
$861$	5.55526	−	4.43017i	0.189323	−	0.150980i
$862$	−6.81507	+	26.9149i	−0.232122	+	0.916725i
$863$	13.3136	+	6.41149i	0.453200	+	0.218250i	0.646537	−	0.762883i	$-0.276217\pi$
$863$	13.3136	+	6.41149i	0.453200	+	0.218250i	−0.193337	+	0.981132i	$0.561931\pi$
$864$	4.16297	+	0.493446i	0.141627	+	0.0167874i
$865$	−12.6178	−	55.2822i	−0.429018	−	1.87965i
$866$	5.33214	−	10.4351i	0.181194	−	0.354598i
$867$	−31.7851	−	15.3069i	−1.07948	−	0.519849i
$868$	0.123325	−	2.61129i	0.00418594	−	0.0886330i
$869$			17.3151i			0.587374i
$870$	23.0651	−	51.6440i	0.781981	−	1.75089i
$871$	−79.7664			−2.70278
$872$	−10.0472	+	6.90926i	−0.340241	+	0.233977i
$873$	6.61525	−	13.7367i	0.223892	−	0.464917i
$874$	11.7533	+	6.00573i	0.397561	+	0.203147i
$875$	0.562516	−	0.128391i	0.0190165	−	0.00434039i
$876$	−23.9486	+	44.2583i	−0.809148	+	1.49535i
$877$	6.46425	−	13.4232i	0.218282	−	0.453268i	−0.762858	−	0.646566i	$-0.776204\pi$
$877$	6.46425	−	13.4232i	0.218282	−	0.453268i	0.981140	+	0.193299i	$0.0619186\pi$
$878$	−0.828566	+	3.27227i	−0.0279628	+	0.110434i
$879$	21.0876	+	26.4430i	0.711266	+	0.891899i
$880$	2.27597	−	24.0419i	0.0767229	−	0.810453i
$881$	−14.0831	−	11.2309i	−0.474472	−	0.378379i	0.356858	−	0.934159i	$-0.383848\pi$
$881$	−14.0831	−	11.2309i	−0.474472	−	0.378379i	−0.831329	+	0.555780i	$0.812420\pi$
$882$	15.2551	+	20.0837i	0.513665	+	0.676252i
$883$	43.0337	+	34.3182i	1.44820	+	1.15490i	0.959240	+	0.282594i	$0.0911948\pi$
$883$	43.0337	+	34.3182i	1.44820	+	1.15490i	0.488959	+	0.872306i	$0.337377\pi$
$884$	15.9311	+	8.62046i	0.535820	+	0.289937i
$885$	12.9863	−	56.8966i	0.436529	−	1.91256i
$886$	−6.56485	−	0.154935i	−0.220550	−	0.00520515i
$887$			11.3241i			0.380226i	0.981762	+	0.190113i	$0.0608854\pi$
$887$			11.3241i			0.380226i	−0.981762	+	0.190113i	$0.939115\pi$
$888$	10.1392	−	33.3447i	0.340249	−	1.11897i
$889$	−1.19294	−	2.47716i	−0.0400099	−	0.0830814i
$890$	7.29336	−	28.8038i	0.244474	−	0.965506i
$891$	−11.8906	−	14.9103i	−0.398350	−	0.499515i
$892$	−10.3497	+	11.7910i	−0.346532	+	0.394791i
$893$	65.1859	+	14.8783i	2.18136	+	0.497882i
$894$	−3.54699	−	2.96820i	−0.118629	−	0.0992716i
$895$	−52.2454	+	25.1600i	−1.74637	+	0.841007i
$896$	−5.61530	−	3.95794i	−0.187594	−	0.132226i
$897$	−23.4228	+	5.34610i	−0.782064	+	0.178501i
$898$	20.8240	−	15.8174i	0.694906	−	0.527835i
$899$	−8.67229	+	7.69185i	−0.289237	+	0.256537i
$900$	6.77416	−	24.3261i	0.225805	−	0.810870i
$901$	2.37606	+	10.4102i	0.0791579	+	0.346814i
$902$	−13.1821	+	2.68317i	−0.438917	+	0.0893399i
$903$	−11.4446	+	5.51145i	−0.380854	+	0.183409i
$904$	−14.1814	+	9.75228i	−0.471667	+	0.324356i
$905$	−17.3757	+	76.1278i	−0.577587	+	2.53057i
$906$	−4.28672	−	21.0602i	−0.142417	−	0.699678i
$907$	−0.861203	−	1.07991i	−0.0285958	−	0.0358580i	0.767328	−	0.641255i	$-0.221586\pi$
$907$	−0.861203	−	1.07991i	−0.0285958	−	0.0358580i	−0.795924	+	0.605397i	$0.793014\pi$
$908$	12.7908	+	30.1182i	0.424479	+	0.999508i
$909$	−9.53914	+	4.59381i	−0.316393	+	0.152367i
$910$	16.2874	+	0.384396i	0.539923	+	0.0127426i
$911$		−	44.4195i		−	1.47168i	−0.677153	−	0.735842i	$-0.736787\pi$
$911$		−	44.4195i		−	1.47168i	0.677153	−	0.735842i	$-0.263213\pi$
$912$	50.5177	−	18.6935i	1.67281	−	0.619002i
$913$	22.8465	+	5.21458i	0.756110	+	0.172577i
$914$	33.8229	−	15.3159i	1.11876	−	0.506606i
$915$	66.2728	+	52.8508i	2.19091	+	1.74719i
$916$	−12.5535	+	45.0798i	−0.414779	+	1.48948i
$917$	3.99543	−	5.01011i	0.131941	−	0.165448i
$918$	0.708839	−	1.38721i	0.0233952	−	0.0457847i
$919$	−13.8455	−	17.3617i	−0.456720	−	0.572709i	0.499144	−	0.866519i	$-0.333648\pi$
$919$	−13.8455	−	17.3617i	−0.456720	−	0.572709i	−0.955864	+	0.293811i	$0.905077\pi$
$920$	−7.22859	+	12.6371i	−0.238320	+	0.416632i
$921$	8.05179	+	3.87754i	0.265316	+	0.127769i
$922$	47.1263	−	21.3401i	1.55202	−	0.702797i
$923$	11.4633	−	2.61642i	0.377319	−	0.0861205i
$924$	0.990132	+	5.52883i	0.0325729	+	0.181885i
$925$	21.8517	+	10.5232i	0.718478	+	0.346001i
$926$	18.1767	−	21.7211i	0.597324	−	0.713798i
$927$	−18.6206			−0.611579
$928$	4.81648	+	30.0799i	0.158109	+	0.987422i
$929$	2.14158			0.0702629			0.0351314	−	0.999383i	$-0.488815\pi$
$929$	2.14158			0.0702629			0.0351314	+	0.999383i	$0.488815\pi$
$930$	−14.5093	+	17.3385i	−0.475779	+	0.568553i
$931$	−33.7308	−	16.2439i	−1.10548	−	0.532372i
$932$	−1.19207	−	6.65645i	−0.0390476	−	0.218039i
$933$	28.6181	−	6.53188i	0.936913	−	0.213844i
$934$	8.01658	−	3.63012i	0.262310	−	0.118781i
$935$	−8.08538	−	3.89371i	−0.264420	−	0.127338i
$936$	−23.0124	+	40.2304i	−0.752183	+	1.31497i
$937$	−20.3062	−	25.4632i	−0.663375	−	0.831846i	0.330331	−	0.943865i	$-0.392840\pi$
$937$	−20.3062	−	25.4632i	−0.663375	−	0.831846i	−0.993706	+	0.112019i	$0.964268\pi$
$938$	5.11542	−	10.0109i	0.167024	−	0.326869i
$939$	30.1911	−	37.8584i	0.985248	−	1.23546i
$940$	−19.7846	+	71.0466i	−0.645301	+	2.31728i
$941$	−21.0151	−	16.7590i	−0.685073	−	0.546328i	0.217928	−	0.975965i	$-0.430070\pi$
$941$	−21.0151	−	16.7590i	−0.685073	−	0.546328i	−0.903002	+	0.429637i	$0.858641\pi$
$942$	6.90234	−	3.12557i	0.224890	−	0.101836i
$943$	7.90645	+	1.80459i	0.257469	+	0.0587657i
$944$	10.9082	+	29.4786i	0.355032	+	0.959448i
$945$		−	1.40113i		−	0.0455789i
$946$	24.0426	+	0.567422i	0.781691	+	0.0184485i
$947$	42.0158	−	20.2337i	1.36533	−	0.657508i	0.399512	−	0.916728i	$-0.369180\pi$
$947$	42.0158	−	20.2337i	1.36533	−	0.657508i	0.965818	+	0.259220i	$0.0834654\pi$
$948$	−16.6522	−	39.2104i	−0.540837	−	1.27349i
$949$	40.0744	+	50.2517i	1.30087	+	1.63124i
$950$	7.47658	+	36.7316i	0.242572	+	1.19173i
$951$	−0.872005	+	3.82050i	−0.0282767	+	0.123888i
$952$	−2.10356	+	1.44657i	−0.0681766	+	0.0468837i
$953$	−21.2535	+	10.2352i	−0.688469	+	0.331549i	−0.745201	−	0.666840i	$-0.767646\pi$
$953$	−21.2535	+	10.2352i	−0.688469	+	0.331549i	0.0567319	+	0.998389i	$0.481932\pi$
$954$	−26.7721	+	5.44936i	−0.866779	+	0.176430i
$955$	7.83694	+	34.3359i	0.253597	+	1.11108i
$956$	−0.354654	+	1.27357i	−0.0114703	+	0.0411901i
$957$	14.4883	−	20.2583i	0.468342	−	0.654859i
$958$	17.6042	−	13.3717i	0.568765	−	0.432021i
$959$	12.5059	−	2.85439i	0.403836	−	0.0921730i
$960$	17.9675	+	56.6322i	0.579898	+	1.82780i
$961$	−23.7553	+	11.4400i	−0.766301	+	0.369031i
$962$	−34.1387	−	28.5681i	−1.10068	−	0.921071i
$963$	−28.3108	−	6.46175i	−0.912301	−	0.208227i
$964$	−13.3980	+	15.2639i	−0.431521	+	0.491616i
$965$	−30.7658	−	38.5791i	−0.990387	−	1.24191i
$966$	0.831151	−	3.28248i	0.0267418	−	0.105612i
$967$	−24.1739	−	50.1977i	−0.777381	−	1.61425i	−0.789060	−	0.614317i	$-0.789432\pi$
$967$	−24.1739	−	50.1977i	−0.777381	−	1.61425i	0.0116784	−	0.999932i	$-0.496283\pi$
$968$	−5.95766	+	19.5929i	−0.191486	+	0.629740i
$969$		−	20.0168i		−	0.643031i
$970$	−24.9572	−	0.589009i	−0.801329	−	0.0189119i
$971$	−3.08473	+	13.5151i	−0.0989936	+	0.433719i	−1.00000		8.65683e-5i	$-0.999972\pi$
$971$	−3.08473	+	13.5151i	−0.0989936	+	0.433719i	0.901006	+	0.433806i	$0.142830\pi$
$972$	37.3554	+	20.2134i	1.19818	+	0.648344i
$973$	−4.14133	−	3.30260i	−0.132765	−	0.105877i
$974$	11.5653	+	15.2259i	0.370575	+	0.487871i
$975$	−53.3457	−	42.5418i	−1.70843	−	1.36243i
$976$	−45.4512	−	4.30271i	−1.45486	−	0.137726i
$977$	11.1412	+	13.9707i	0.356440	+	0.446961i	0.927431	−	0.373995i	$-0.122012\pi$
$977$	11.1412	+	13.9707i	0.356440	+	0.446961i	−0.570991	+	0.820956i	$0.693441\pi$
$978$	13.6852	−	54.0471i	0.437604	−	1.72824i
$979$	5.67686	−	11.7881i	0.181433	−	0.376750i
$980$	19.6524	−	36.3188i	0.627774	−	1.16016i
$981$	−11.3032	+	2.57988i	−0.360883	+	0.0823691i
$982$	18.9225	+	9.66910i	0.603843	+	0.308553i
$983$	−9.42307	+	19.5672i	−0.300549	+	0.624097i	−0.995479	−	0.0949804i	$-0.969721\pi$
$983$	−9.42307	+	19.5672i	−0.300549	+	0.624097i	0.694930	+	0.719078i	$0.255435\pi$
$984$	27.2707	−	18.7535i	0.869360	−	0.597841i
$985$	85.9006			2.73702
$986$	11.1044	+	2.20059i	0.353635	+	0.0700810i
$987$		−	17.1531i		−	0.545989i
$988$	3.24564	−	68.7231i	0.103258	−	2.18637i
$989$	−13.0623	−	6.29047i	−0.415357	−	0.200025i
$990$	10.4480	−	20.4469i	0.332059	−	0.649844i
$991$	8.66682	+	37.9718i	0.275311	+	1.20621i	0.903649	+	0.428274i	$0.140878\pi$
$991$	8.66682	+	37.9718i	0.275311	+	1.20621i	−0.628338	+	0.777940i	$0.716265\pi$
$992$	1.43331	−	12.0921i	0.0455075	−	0.383925i
$993$	−46.0071	−	22.1559i	−1.45999	−	0.703095i
$994$	−0.406771	+	1.60647i	−0.0129020	+	0.0509541i
$995$	17.4653	−	13.9281i	0.553689	−	0.441552i
$996$	−56.7514	+	10.1633i	−1.79824	+	0.322038i
$997$	−8.28273	+	10.3862i	−0.262317	+	0.328935i	−0.895495	−	0.445071i	$-0.853178\pi$
$997$	−8.28273	+	10.3862i	−0.262317	+	0.328935i	0.633179	+	0.774006i	$0.281750\pi$
$998$	28.9348	−	21.9782i	0.915915	−	0.695707i
$999$	−2.38694	+	2.99313i	−0.0755194	+	0.0946984i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	232.2.o.a.109.9	yes	168
4.3	odd	2		928.2.be.a.689.24		168
8.3	odd	2		928.2.be.a.689.5		168
8.5	even	2	inner	232.2.o.a.109.5	✓	168
29.4	even	14	inner	232.2.o.a.149.5	yes	168
116.91	odd	14		928.2.be.a.497.5		168
232.91	odd	14		928.2.be.a.497.24		168
232.149	even	14	inner	232.2.o.a.149.9	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
232.2.o.a.109.5	✓	168	8.5	even	2	inner
232.2.o.a.109.9	yes	168	1.1	even	1	trivial
232.2.o.a.149.5	yes	168	29.4	even	14	inner
232.2.o.a.149.9	yes	168	232.149	even	14	inner
928.2.be.a.497.5		168	116.91	odd	14
928.2.be.a.497.24		168	232.91	odd	14
928.2.be.a.689.5		168	8.3	odd	2
928.2.be.a.689.24		168	4.3	odd	2

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:	\( N \)	\(=\)	\( 232 = 2^{3} \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	232.o (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.907590 + 1.08456i) q^{2} +(-2.14902 - 1.03491i) q^{3} +(-0.352562 - 1.96868i) q^{4} +(-3.03559 + 0.692853i) q^{5} +(3.07285 - 1.39147i) q^{6} +(0.547094 + 0.263466i) q^{7} +(2.45514 + 1.40438i) q^{8} +(1.67676 + 2.10259i) q^{9} +O(q^{10})\)	\(q+(-0.907590 + 1.08456i) q^{2} +(-2.14902 - 1.03491i) q^{3} +(-0.352562 - 1.96868i) q^{4} +(-3.03559 + 0.692853i) q^{5} +(3.07285 - 1.39147i) q^{6} +(0.547094 + 0.263466i) q^{7} +(2.45514 + 1.40438i) q^{8} +(1.67676 + 2.10259i) q^{9} +(2.00362 - 3.92112i) q^{10} +(1.20894 - 1.51597i) q^{11} +(-1.27975 + 4.59559i) q^{12} +(4.76376 + 3.79897i) q^{13} +(-0.782283 + 0.354239i) q^{14} +(7.24056 + 1.65261i) q^{15} +(-3.75140 + 1.38816i) q^{16} +1.48643i q^{17} +(-3.80220 - 0.0897347i) q^{18} +(5.08663 - 2.44959i) q^{19} +(2.43424 + 5.73182i) q^{20} +(-0.903048 - 1.13239i) q^{21} +(0.546939 + 2.68705i) q^{22} +(0.367850 - 1.61165i) q^{23} +(-3.82273 - 5.55888i) q^{24} +(4.22990 - 2.03701i) q^{25} +(-8.44377 + 1.71870i) q^{26} +(0.164903 + 0.722487i) q^{27} +(0.325797 - 1.16994i) q^{28} +(-4.72294 + 2.58725i) q^{29} +(-8.36383 + 6.35297i) q^{30} +(2.09860 - 0.478992i) q^{31} +(1.89918 - 5.32852i) q^{32} +(-4.16693 + 2.00669i) q^{33} +(-1.61213 - 1.34907i) q^{34} +(-1.84329 - 0.420720i) q^{35} +(3.54816 - 4.04229i) q^{36} +(3.22095 + 4.03894i) q^{37} +(-1.95983 + 7.74000i) q^{38} +(-6.30580 - 13.0941i) q^{39} +(-8.42582 - 2.56206i) q^{40} +4.90580i q^{41} +(2.04774 + 0.0483283i) q^{42} +(1.95156 - 8.55033i) q^{43} +(-3.41068 - 1.84555i) q^{44} +(-6.54672 - 5.22084i) q^{45} +(1.41409 + 1.86168i) q^{46} +(9.25922 + 7.38398i) q^{47} +(9.49844 + 0.899186i) q^{48} +(-4.13453 - 5.18454i) q^{49} +(-1.62974 + 6.43637i) q^{50} +(1.53832 - 3.19436i) q^{51} +(5.79944 - 10.7177i) q^{52} +(7.00349 - 1.59850i) q^{53} +(-0.933248 - 0.476874i) q^{54} +(-2.61951 + 5.43947i) q^{55} +(0.973186 + 1.41517i) q^{56} -13.4663 q^{57} +(1.48045 - 7.47049i) q^{58} -7.85803i q^{59} +(0.700719 - 14.8370i) q^{60} +(10.2833 + 4.95217i) q^{61} +(-1.38517 + 2.71080i) q^{62} +(0.363382 + 1.59208i) q^{63} +(4.05545 + 6.89589i) q^{64} +(-17.0929 - 8.23152i) q^{65} +(1.60548 - 6.34055i) q^{66} +(-10.2352 + 8.16230i) q^{67} +(2.92630 - 0.524058i) q^{68} +(-2.45843 + 3.08278i) q^{69} +(2.12925 - 1.61733i) q^{70} +(1.20318 - 1.50873i) q^{71} +(1.16385 + 7.51695i) q^{72} +(10.2843 + 2.34732i) q^{73} +(-7.30379 - 0.172375i) q^{74} -11.1982 q^{75} +(-6.61581 - 9.15031i) q^{76} +(1.06081 - 0.510860i) q^{77} +(19.9245 + 5.04505i) q^{78} +(-6.98171 + 5.56772i) q^{79} +(10.4259 - 6.81305i) q^{80} +(2.18861 - 9.58895i) q^{81} +(-5.32065 - 4.45245i) q^{82} +(5.24379 + 10.8888i) q^{83} +(-1.91093 + 2.17705i) q^{84} +(-1.02988 - 4.51218i) q^{85} +(7.50218 + 9.87679i) q^{86} +(12.8272 - 0.672213i) q^{87} +(5.09712 - 2.02410i) q^{88} +(6.57857 - 1.50152i) q^{89} +(11.6041 - 2.36197i) q^{90} +(1.60532 + 3.33348i) q^{91} +(-3.30252 - 0.155971i) q^{92} +(-5.00564 - 1.14250i) q^{93} +(-16.4120 + 3.34060i) q^{94} +(-13.7437 + 10.9602i) q^{95} +(-9.59592 + 9.48558i) q^{96} +(-2.45983 - 5.10790i) q^{97} +(9.37543 + 0.221267i) q^{98} +5.21455 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 168 q - 7 q^{2} - 3 q^{4} - 7 q^{6} - 6 q^{7} - 28 q^{8} - 34 q^{9}+O(q^{10}) \) 168 * q - 7 * q^2 - 3 * q^4 - 7 * q^6 - 6 * q^7 - 28 * q^8 - 34 * q^9	\( 168 q - 7 q^{2} - 3 q^{4} - 7 q^{6} - 6 q^{7} - 28 q^{8} - 34 q^{9} - 7 q^{10} - 7 q^{14} - 14 q^{15} + 5 q^{16} - 56 q^{18} - 27 q^{20} - 12 q^{22} - 6 q^{23} + 9 q^{24} + 14 q^{25} - 7 q^{26} + 16 q^{28} - 22 q^{30} - 14 q^{31} - 42 q^{32} + 2 q^{33} - 5 q^{34} + 4 q^{36} + 58 q^{38} + 70 q^{39} - 7 q^{40} - 32 q^{42} - 14 q^{44} - 14 q^{47} - 84 q^{48} - 26 q^{49} + 42 q^{50} + 16 q^{52} + 40 q^{54} - 14 q^{55} - 7 q^{56} - 12 q^{57} + 53 q^{58} - 126 q^{60} + 57 q^{62} + 50 q^{63} - 30 q^{64} - 60 q^{65} + 133 q^{66} - 28 q^{68} - 46 q^{71} - 119 q^{72} - 84 q^{73} - 40 q^{74} - 77 q^{76} + 29 q^{78} - 154 q^{79} + 66 q^{80} - 26 q^{81} - 48 q^{82} + 63 q^{84} - 32 q^{86} - 46 q^{87} - 10 q^{88} - 14 q^{89} + 140 q^{90} + 20 q^{92} - 26 q^{94} - 14 q^{95} + 136 q^{96} + 28 q^{98}+O(q^{100}) \) 168 * q - 7 * q^2 - 3 * q^4 - 7 * q^6 - 6 * q^7 - 28 * q^8 - 34 * q^9 - 7 * q^10 - 7 * q^14 - 14 * q^15 + 5 * q^16 - 56 * q^18 - 27 * q^20 - 12 * q^22 - 6 * q^23 + 9 * q^24 + 14 * q^25 - 7 * q^26 + 16 * q^28 - 22 * q^30 - 14 * q^31 - 42 * q^32 + 2 * q^33 - 5 * q^34 + 4 * q^36 + 58 * q^38 + 70 * q^39 - 7 * q^40 - 32 * q^42 - 14 * q^44 - 14 * q^47 - 84 * q^48 - 26 * q^49 + 42 * q^50 + 16 * q^52 + 40 * q^54 - 14 * q^55 - 7 * q^56 - 12 * q^57 + 53 * q^58 - 126 * q^60 + 57 * q^62 + 50 * q^63 - 30 * q^64 - 60 * q^65 + 133 * q^66 - 28 * q^68 - 46 * q^71 - 119 * q^72 - 84 * q^73 - 40 * q^74 - 77 * q^76 + 29 * q^78 - 154 * q^79 + 66 * q^80 - 26 * q^81 - 48 * q^82 + 63 * q^84 - 32 * q^86 - 46 * q^87 - 10 * q^88 - 14 * q^89 + 140 * q^90 + 20 * q^92 - 26 * q^94 - 14 * q^95 + 136 * q^96 + 28 * q^98

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