LMFDB - Embedded newform 232.2.o.a.109.10

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			109.10
Character	$\chi$	$=$	232.109
Dual form			232.2.o.a.149.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.759799 - 1.19277i) q^{2} +(1.07292 + 0.516690i) q^{3} +(-0.845412 + 1.81253i) q^{4} +(-3.71616 + 0.848189i) q^{5} +(-0.198908 - 1.67233i) q^{6} +(-1.24390 - 0.599028i) q^{7} +(2.80428 - 0.368776i) q^{8} +(-0.986284 - 1.23676i) q^{9} +O(q^{10})$	\(q+(-0.759799 - 1.19277i) q^{2} +(1.07292 + 0.516690i) q^{3} +(-0.845412 + 1.81253i) q^{4} +(-3.71616 + 0.848189i) q^{5} +(-0.198908 - 1.67233i) q^{6} +(-1.24390 - 0.599028i) q^{7} +(2.80428 - 0.368776i) q^{8} +(-0.986284 - 1.23676i) q^{9} +(3.83523 + 3.78808i) q^{10} +(-3.28733 + 4.12218i) q^{11} +(-1.84358 + 1.50789i) q^{12} +(-3.13124 - 2.49708i) q^{13} +(0.230605 + 1.93883i) q^{14} +(-4.42539 - 1.01007i) q^{15} +(-2.57056 - 3.06468i) q^{16} +5.15312i q^{17} +(-0.725797 + 2.11610i) q^{18} +(0.763493 - 0.367679i) q^{19} +(1.60432 - 7.45274i) q^{20} +(-1.02509 - 1.28542i) q^{21} +(7.41453 + 0.789009i) q^{22} +(0.615656 - 2.69737i) q^{23} +(3.19931 + 1.05328i) q^{24} +(8.58558 - 4.13460i) q^{25} +(-0.599338 + 5.63214i) q^{26} +(-1.21415 - 5.31953i) q^{27} +(2.13736 - 1.74818i) q^{28} +(-1.22807 + 5.24327i) q^{29} +(2.15763 + 6.04593i) q^{30} +(-1.58891 + 0.362658i) q^{31} +(-1.70236 + 5.39463i) q^{32} +(-5.65693 + 2.72423i) q^{33} +(6.14650 - 3.91533i) q^{34} +(5.13060 + 1.17103i) q^{35} +(3.07549 - 0.742100i) q^{36} +(5.69541 + 7.14181i) q^{37} +(-1.01866 - 0.631311i) q^{38} +(-2.06935 - 4.29705i) q^{39} +(-10.1084 + 3.74900i) q^{40} +3.88322i q^{41} +(-0.754352 + 2.19935i) q^{42} +(1.59262 - 6.97774i) q^{43} +(-4.69244 - 9.44334i) q^{44} +(4.71420 + 3.75945i) q^{45} +(-3.68512 + 1.31512i) q^{46} +(-1.40955 - 1.12408i) q^{47} +(-1.17451 - 4.61633i) q^{48} +(-3.17599 - 3.98256i) q^{49} +(-11.4549 - 7.09918i) q^{50} +(-2.66257 + 5.52888i) q^{51} +(7.17324 - 3.56442i) q^{52} +(-0.753145 + 0.171900i) q^{53} +(-5.42248 + 5.48997i) q^{54} +(8.71985 - 18.1070i) q^{55} +(-3.70914 - 1.22113i) q^{56} +1.00914 q^{57} +(7.18711 - 2.51901i) q^{58} -11.3051i q^{59} +(5.57206 - 7.16725i) q^{60} +(-0.857113 - 0.412764i) q^{61} +(1.63982 + 1.61966i) q^{62} +(0.485979 + 2.12921i) q^{63} +(7.72801 - 2.06831i) q^{64} +(13.7542 + 6.62368i) q^{65} +(7.54752 + 4.67756i) q^{66} +(-9.70738 + 7.74138i) q^{67} +(-9.34020 - 4.35651i) q^{68} +(2.05425 - 2.57595i) q^{69} +(-2.50146 - 7.00939i) q^{70} +(-3.97200 + 4.98073i) q^{71} +(-3.22191 - 3.10451i) q^{72} +(-1.03218 - 0.235587i) q^{73} +(4.19120 - 12.2197i) q^{74} +11.3479 q^{75} +(0.0209640 + 1.69470i) q^{76} +(6.55840 - 3.15836i) q^{77} +(-3.55311 + 5.73316i) q^{78} +(-11.3558 + 9.05593i) q^{79} +(12.1520 + 9.20851i) q^{80} +(0.389865 - 1.70811i) q^{81} +(4.63179 - 2.95046i) q^{82} +(-3.13938 - 6.51899i) q^{83} +(3.19648 - 0.771296i) q^{84} +(-4.37082 - 19.1498i) q^{85} +(-9.53293 + 3.40204i) q^{86} +(-4.02677 + 4.99106i) q^{87} +(-7.69844 + 12.7721i) q^{88} +(-6.63958 + 1.51544i) q^{89} +(0.902324 - 8.47939i) q^{90} +(2.39912 + 4.98181i) q^{91} +(4.36858 + 3.39628i) q^{92} +(-1.89215 - 0.431871i) q^{93} +(-0.269795 + 2.53534i) q^{94} +(-2.52540 + 2.01394i) q^{95} +(-4.61384 + 4.90840i) q^{96} +(6.84975 + 14.2237i) q^{97} +(-2.33718 + 6.81418i) q^{98} +8.34039 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 $

$2$	−0.759799	−	1.19277i	−0.537259	−	0.843417i
$2$	−0.759799	−	1.19277i	−0.537259	−	0.843417i
$3$	1.07292	+	0.516690i	0.619450	+	0.298311i	0.717165	−	0.696903i	$-0.245439\pi$
$3$	1.07292	+	0.516690i	0.619450	+	0.298311i	−0.0977154	+	0.995214i	$0.531153\pi$
$4$	−0.845412	+	1.81253i	−0.422706	+	0.906267i
$5$	−3.71616	+	0.848189i	−1.66192	+	0.379322i	−0.947339	−	0.320233i	$-0.896239\pi$
$5$	−3.71616	+	0.848189i	−1.66192	+	0.379322i	−0.714579	+	0.699555i	$0.753382\pi$
$6$	−0.198908	−	1.67233i	−0.0812039	−	0.682725i
$7$	−1.24390	−	0.599028i	−0.470148	−	0.226411i	0.183781	−	0.982967i	$-0.441166\pi$
$7$	−1.24390	−	0.599028i	−0.470148	−	0.226411i	−0.653929	+	0.756556i	$0.726881\pi$
$8$	2.80428	−	0.368776i	0.991464	−	0.130382i
$9$	−0.986284	−	1.23676i	−0.328761	−	0.412254i
$10$	3.83523	+	3.78808i	1.21281	+	1.19790i
$11$	−3.28733	+	4.12218i	−0.991167	+	1.24288i	−0.0211679	+	0.999776i	$0.506738\pi$
$11$	−3.28733	+	4.12218i	−0.991167	+	1.24288i	−0.969999	+	0.243108i	$0.921833\pi$
$12$	−1.84358	+	1.50789i	−0.532195	+	0.435289i
$13$	−3.13124	−	2.49708i	−0.868451	−	0.692566i	0.0842605	−	0.996444i	$-0.473147\pi$
$13$	−3.13124	−	2.49708i	−0.868451	−	0.692566i	−0.952711	+	0.303877i	$0.901719\pi$
$14$	0.230605	+	1.93883i	0.0616319	+	0.518173i
$15$	−4.42539	−	1.01007i	−1.14263	−	0.260798i
$16$	−2.57056	−	3.06468i	−0.642639	−	0.766169i
$17$			5.15312i			1.24982i	0.780699	+	0.624908i	$0.214863\pi$
$17$			5.15312i			1.24982i	−0.780699	+	0.624908i	$0.785137\pi$
$18$	−0.725797	+	2.11610i	−0.171072	+	0.498770i
$19$	0.763493	−	0.367679i	0.175157	−	0.0843513i	−0.344250	−	0.938878i	$-0.611867\pi$
$19$	0.763493	−	0.367679i	0.175157	−	0.0843513i	0.519408	+	0.854527i	$0.326153\pi$
$20$	1.60432	−	7.45274i	0.358736	−	1.66648i
$21$	−1.02509	−	1.28542i	−0.223692	−	0.280501i
$22$	7.41453	+	0.789009i	1.58078	+	0.168217i
$23$	0.615656	−	2.69737i	0.128373	−	0.562440i	−0.869301	−	0.494282i	$-0.835431\pi$
$23$	0.615656	−	2.69737i	0.128373	−	0.562440i	0.997675	−	0.0681573i	$-0.0217120\pi$
$24$	3.19931	+	1.05328i	0.653057	+	0.215000i
$25$	8.58558	−	4.13460i	1.71712	−	0.826920i
$26$	−0.599338	+	5.63214i	−0.117540	+	1.10455i
$27$	−1.21415	−	5.31953i	−0.233663	−	1.02374i
$28$	2.13736	−	1.74818i	0.403924	−	0.330374i
$29$	−1.22807	+	5.24327i	−0.228048	+	0.973650i
$29$	−1.22807	+	5.24327i	−0.228048	+	0.973650i
$30$	2.15763	+	6.04593i	0.393927	+	1.10383i
$31$	−1.58891	+	0.362658i	−0.285376	+	0.0651353i	−0.362813	−	0.931862i	$-0.618184\pi$
$31$	−1.58891	+	0.362658i	−0.285376	+	0.0651353i	0.0774366	+	0.996997i	$0.475326\pi$
$32$	−1.70236	+	5.39463i	−0.300937	+	0.953644i
$33$	−5.65693	+	2.72423i	−0.984745	+	0.474228i
$34$	6.14650	−	3.91533i	1.05412	−	0.671474i
$35$	5.13060	+	1.17103i	0.867231	+	0.197940i
$36$	3.07549	−	0.742100i	0.512581	−	0.123683i
$37$	5.69541	+	7.14181i	0.936319	+	1.17411i	0.984520	+	0.175269i	$0.0560797\pi$
$37$	5.69541	+	7.14181i	0.936319	+	1.17411i	−0.0482013	+	0.998838i	$0.515349\pi$
$38$	−1.01866	−	0.631311i	−0.165248	−	0.102412i
$39$	−2.06935	−	4.29705i	−0.331361	−	0.688079i
$40$	−10.1084	+	3.74900i	−1.59827	+	0.592768i
$41$			3.88322i			0.606456i	0.952918	+	0.303228i	$0.0980644\pi$
$41$			3.88322i			0.606456i	−0.952918	+	0.303228i	$0.901936\pi$
$42$	−0.754352	+	2.19935i	−0.116399	+	0.339368i
$43$	1.59262	−	6.97774i	0.242873	−	1.06410i	−0.695515	−	0.718511i	$-0.744824\pi$
$43$	1.59262	−	6.97774i	0.242873	−	1.06410i	0.938388	−	0.345584i	$-0.112319\pi$
$44$	−4.69244	−	9.44334i	−0.707412	−	1.42364i
$45$	4.71420	+	3.75945i	0.702751	+	0.560425i
$46$	−3.68512	+	1.31512i	−0.543341	+	0.193903i
$47$	−1.40955	−	1.12408i	−0.205603	−	0.163963i	0.515275	−	0.857025i	$-0.327690\pi$
$47$	−1.40955	−	1.12408i	−0.205603	−	0.163963i	−0.720878	+	0.693062i	$0.756261\pi$
$48$	−1.17451	−	4.61633i	−0.169526	−	0.666310i
$49$	−3.17599	−	3.98256i	−0.453713	−	0.568938i
$50$	−11.4549	−	7.09918i	−1.61997	−	1.00398i
$51$	−2.66257	+	5.52888i	−0.372834	+	0.774198i
$52$	7.17324	−	3.56442i	0.994749	−	0.494296i
$53$	−0.753145	+	0.171900i	−0.103452	+	0.0236123i	−0.273934	−	0.961749i	$-0.588325\pi$
$53$	−0.753145	+	0.171900i	−0.103452	+	0.0236123i	0.170481	+	0.985361i	$0.445468\pi$
$54$	−5.42248	+	5.48997i	−0.737906	+	0.747090i
$55$	8.71985	−	18.1070i	1.17578	−	2.44154i
$56$	−3.70914	−	1.22113i	−0.495655	−	0.163180i
$57$	1.00914			0.133664
$58$	7.18711	−	2.51901i	0.943714	−	0.330763i
$59$		−	11.3051i		−	1.47180i	−0.677088	−	0.735902i	$-0.736758\pi$
$59$		−	11.3051i		−	1.47180i	0.677088	−	0.735902i	$-0.263242\pi$
$60$	5.57206	−	7.16725i	0.719350	−	0.925288i
$61$	−0.857113	−	0.412764i	−0.109742	−	0.0528490i	0.378207	−	0.925721i	$-0.376541\pi$
$61$	−0.857113	−	0.412764i	−0.109742	−	0.0528490i	−0.487949	+	0.872872i	$0.662255\pi$
$62$	1.63982	+	1.61966i	0.208257	+	0.205697i
$63$	0.485979	+	2.12921i	0.0612276	+	0.268256i
$64$	7.72801	−	2.06831i	0.966001	−	0.258538i
$65$	13.7542	+	6.62368i	1.70600	+	0.821566i
$66$	7.54752	+	4.67756i	0.929035	+	0.575768i
$67$	−9.70738	+	7.74138i	−1.18595	+	0.945760i	−0.999327	−	0.0366728i	$-0.988324\pi$
$67$	−9.70738	+	7.74138i	−1.18595	+	0.945760i	−0.186618	+	0.982433i	$0.559753\pi$
$68$	−9.34020	−	4.35651i	−1.13267	−	0.528304i
$69$	2.05425	−	2.57595i	0.247303	−	0.310108i
$70$	−2.50146	−	7.00939i	−0.298981	−	0.837782i
$71$	−3.97200	+	4.98073i	−0.471390	+	0.591104i	−0.959511	−	0.281672i	$-0.909111\pi$
$71$	−3.97200	+	4.98073i	−0.471390	+	0.591104i	0.488121	+	0.872776i	$0.337682\pi$
$72$	−3.22191	−	3.10451i	−0.379705	−	0.365870i
$73$	−1.03218	−	0.235587i	−0.120807	−	0.0275734i	0.161690	−	0.986842i	$-0.448306\pi$
$73$	−1.03218	−	0.235587i	−0.120807	−	0.0275734i	−0.282497	+	0.959268i	$0.591163\pi$
$74$	4.19120	−	12.2197i	0.487217	−	1.42051i
$75$	11.3479			1.31035
$76$	0.0209640	+	1.69470i	0.00240474	+	0.194395i
$77$	6.55840	−	3.15836i	0.747399	−	0.359928i
$78$	−3.55311	+	5.73316i	−0.402311	+	0.649152i
$79$	−11.3558	+	9.05593i	−1.27762	+	1.01887i	−0.279348	+	0.960190i	$0.590118\pi$
$79$	−11.3558	+	9.05593i	−1.27762	+	1.01887i	−0.998277	+	0.0586814i	$0.981310\pi$
$80$	12.1520	+	9.20851i	1.35864	+	1.02954i
$81$	0.389865	−	1.70811i	0.0433184	−	0.189790i
$82$	4.63179	−	2.95046i	0.511496	−	0.325824i
$83$	−3.13938	−	6.51899i	−0.344592	−	0.715552i	0.654591	−	0.755984i	$-0.272841\pi$
$83$	−3.13938	−	6.51899i	−0.344592	−	0.715552i	−0.999182	+	0.0404314i	$0.987127\pi$
$84$	3.19648	−	0.771296i	0.348765	−	0.0841553i
$85$	−4.37082	−	19.1498i	−0.474082	−	2.07709i
$86$	−9.53293	+	3.40204i	−1.02796	+	0.366851i
$87$	−4.02677	+	4.99106i	−0.431715	+	0.535098i
$88$	−7.69844	+	12.7721i	−0.820656	+	1.36151i
$89$	−6.63958	+	1.51544i	−0.703795	+	0.160637i	−0.559417	−	0.828886i	$-0.688975\pi$
$89$	−6.63958	+	1.51544i	−0.703795	+	0.160637i	−0.144377	+	0.989523i	$0.546118\pi$
$90$	0.902324	−	8.47939i	0.0951133	−	0.893806i
$91$	2.39912	+	4.98181i	0.251496	+	0.522236i
$92$	4.36858	+	3.39628i	0.455456	+	0.354087i
$93$	−1.89215	−	0.431871i	−0.196207	−	0.0447830i
$94$	−0.269795	+	2.53534i	−0.0278272	+	0.261500i
$95$	−2.52540	+	2.01394i	−0.259101	+	0.206626i
$96$	−4.61384	+	4.90840i	−0.470898	+	0.500962i
$97$	6.84975	+	14.2237i	0.695487	+	1.44419i	0.886558	+	0.462617i	$0.153089\pi$
$97$	6.84975	+	14.2237i	0.695487	+	1.44419i	−0.191072	+	0.981576i	$0.561196\pi$
$98$	−2.33718	+	6.81418i	−0.236091	+	0.688336i
$99$	8.34039			0.838241
$100$	0.235743	+	19.0571i	0.0235743	+	1.90571i
$101$	0.108018	−	0.473256i	0.0107481	−	0.0470907i	−0.969269	−	0.246001i	$-0.920883\pi$
$101$	0.108018	−	0.473256i	0.0107481	−	0.0470907i	0.980018	+	0.198911i	$0.0637404\pi$
$102$	8.61771	−	1.02500i	0.853280	−	0.101490i
$103$	1.66514	−	2.08802i	0.164071	−	0.205738i	−0.692999	−	0.720939i	$-0.743711\pi$
$103$	1.66514	−	2.08802i	0.164071	−	0.205738i	0.857070	+	0.515200i	$0.172282\pi$
$104$	−9.70176	−	5.84780i	−0.951336	−	0.573424i
$105$	4.89966	+	3.90735i	0.478158	+	0.381318i
$106$	0.777277	+	0.767721i	0.0754958	+	0.0745676i
$107$	3.44584	−	2.74797i	0.333122	−	0.265656i	−0.442616	−	0.896711i	$-0.645949\pi$
$107$	3.44584	−	2.74797i	0.333122	−	0.265656i	0.775738	+	0.631055i	$0.217378\pi$
$108$	10.6683	+	2.29651i	1.02656	+	0.220982i
$109$	1.12910	−	2.34459i	0.108148	−	0.224571i	−0.839871	−	0.542787i	$-0.817369\pi$
$109$	1.12910	−	2.34459i	0.108148	−	0.224571i	0.948018	+	0.318215i	$0.103083\pi$
$110$	−28.2228	+	3.35684i	−2.69094	+	0.320063i
$111$	2.42060	+	10.6053i	0.229753	+	1.00662i
$112$	1.36168	+	5.35197i	0.128666	+	0.505714i
$113$	−4.34498	+	9.02245i	−0.408742	+	0.848761i	0.590391	+	0.807118i	$0.298974\pi$
$113$	−4.34498	+	9.02245i	−0.408742	+	0.848761i	−0.999133	+	0.0416435i	$0.986741\pi$
$114$	−0.766744	−	1.20368i	−0.0718122	−	0.112735i
$115$			10.5460i			0.983423i
$116$	−8.46537	−	6.65865i	−0.785990	−	0.618240i
$117$			6.33543i			0.585711i
$118$	−13.4845	+	8.58963i	−1.24135	+	0.790739i
$119$	3.08687	−	6.40994i	0.282972	−	0.587598i
$120$	−12.7825	−	1.20053i	−1.16688	−	0.109593i
$121$	−3.73811	−	16.3777i	−0.339828	−	1.48888i
$122$	0.158900	+	1.33596i	0.0143861	+	0.120952i
$123$	−2.00642	+	4.16637i	−0.180913	+	0.375669i
$124$	0.685953	−	3.18655i	0.0616004	−	0.286160i
$125$	−13.4978	+	10.7642i	−1.20728	+	0.962776i
$126$	2.17042	−	2.19744i	0.193356	−	0.195763i
$127$	15.5766	+	12.4219i	1.38220	+	1.10227i	0.982632	+	0.185563i	$0.0594108\pi$
$127$	15.5766	+	12.4219i	1.38220	+	1.10227i	0.399567	+	0.916704i	$0.369161\pi$
$128$	−8.33875	−	7.64626i	−0.737048	−	0.675840i
$129$	5.31409	−	6.66365i	0.467879	−	0.586702i
$130$	−2.54989	−	21.4383i	−0.223640	−	1.88026i
$131$	0.512811	−	2.24677i	0.0448045	−	0.196301i	−0.947572	−	0.319541i	$-0.896471\pi$
$131$	0.512811	−	2.24677i	0.0448045	−	0.196301i	0.992377	+	0.123240i	$0.0393284\pi$
$132$	−0.155328	−	12.5565i	−0.0135196	−	1.09290i
$133$	−1.16995			−0.101448
$134$	16.6094	+	5.69681i	1.43483	+	0.492129i
$135$	9.02393	+	18.7384i	0.776656	+	1.61274i
$136$	1.90035	+	14.4508i	0.162954	+	1.23915i
$137$	−13.7996	+	11.0049i	−1.17898	+	0.940208i	−0.999055	−	0.0434718i	$-0.986158\pi$
$137$	−13.7996	+	11.0049i	−1.17898	+	0.940208i	−0.179929	+	0.983680i	$0.557587\pi$
$138$	−4.63334	−	0.493052i	−0.394416	−	0.0419713i
$139$	−5.49296	−	1.25373i	−0.465907	−	0.106340i	−0.0168782	−	0.999858i	$-0.505373\pi$
$139$	−5.49296	−	1.25373i	−0.465907	−	0.106340i	−0.449029	+	0.893517i	$0.648230\pi$
$140$	−6.46000	+	8.30939i	−0.545970	+	0.702272i
$141$	−0.931529	−	1.93434i	−0.0784489	−	0.162901i
$142$	8.95880	+	0.953340i	0.751805	+	0.0800025i
$143$	20.5869	−	4.69882i	1.72156	−	0.392935i
$144$	−1.25497	+	6.20180i	−0.104581	+	0.516817i
$145$	0.116438	−	20.5265i	0.00966968	−	1.70463i
$146$	0.503243	+	1.41015i	0.0416487	+	0.116705i
$147$	−1.34982	−	5.91397i	−0.111332	−	0.487776i
$148$	−17.7597	+	4.28534i	−1.45984	+	0.352253i
$149$	2.26713	+	4.70774i	0.185730	+	0.385673i	0.972955	−	0.230993i	$-0.0741974\pi$
$149$	2.26713	+	4.70774i	0.185730	+	0.385673i	−0.787225	+	0.616666i	$0.788483\pi$
$150$	−8.62215	−	13.5355i	−0.703996	−	1.10517i
$151$	2.70260	−	11.8409i	0.219935	−	0.963597i	−0.737591	−	0.675248i	$-0.764037\pi$
$151$	2.70260	−	11.8409i	0.219935	−	0.963597i	0.957525	−	0.288349i	$-0.0931063\pi$
$152$	2.00546	−	1.31263i	0.162664	−	0.106469i
$153$	6.37318	−	5.08244i	0.515241	−	0.410891i
$154$	−8.75026	−	5.42296i	−0.705116	−	0.436995i
$155$	5.59704	−	2.69539i	0.449565	−	0.216499i
$156$	9.53800	−	0.117989i	0.763651	−	0.00944665i
$157$	16.9289			1.35107			0.675537	−	0.737326i	$-0.263912\pi$
$157$	16.9289			1.35107			0.675537	+	0.737326i	$0.263912\pi$
$158$	19.4298	+	6.66417i	1.54575	+	0.530173i
$159$	−0.896883	−	0.204708i	−0.0711274	−	0.0162344i
$160$	1.75056	−	21.4912i	0.138394	−	1.69903i
$161$	−2.38161	+	2.98645i	−0.187697	+	0.235365i
$162$	−2.33361	+	0.832800i	−0.183346	+	0.0654310i
$163$	−11.3776	+	14.2670i	−0.891160	+	1.11748i	0.101293	+	0.994857i	$0.467702\pi$
$163$	−11.3776	+	14.2670i	−0.891160	+	1.11748i	−0.992453	+	0.122623i	$0.960870\pi$
$164$	−7.03846	−	3.28292i	−0.549611	−	0.256353i
$165$	18.7114	−	14.9218i	1.45668	−	1.16166i
$166$	−5.39038	+	8.69769i	−0.418374	+	0.675071i
$167$	−11.0921	−	5.34169i	−0.858335	−	0.413352i	−0.0476704	−	0.998863i	$-0.515180\pi$
$167$	−11.0921	−	5.34169i	−0.858335	−	0.413352i	−0.810665	+	0.585511i	$0.800894\pi$
$168$	−3.34866	−	3.22665i	−0.258355	−	0.248941i
$169$	0.676488	+	2.96389i	0.0520375	+	0.227991i
$170$	−19.5204	+	19.7634i	−1.49715	+	1.51578i
$171$	−1.20775	−	0.581622i	−0.0923590	−	0.0444778i
$172$	11.3010	+	8.78575i	0.861690	+	0.669907i
$173$		−	7.22590i		−	0.549375i	−0.961534	−	0.274687i	$-0.911426\pi$
$173$		−	7.22590i		−	0.549375i	0.961534	−	0.274687i	$-0.0885744\pi$
$174$	9.01274	+	1.01082i	0.683254	+	0.0766297i
$175$	−13.1563			−0.994523
$176$	21.0834	−	0.521699i	1.58922	−	0.0393246i
$177$	5.84126	−	12.1295i	0.439056	−	0.911709i
$178$	6.85232	+	6.76808i	0.513603	+	0.507289i
$179$	10.7332	−	2.44977i	0.802234	−	0.183105i	0.198302	−	0.980141i	$-0.436457\pi$
$179$	10.7332	−	2.44977i	0.802234	−	0.183105i	0.603931	+	0.797036i	$0.293600\pi$
$180$	−10.7996	+	5.36636i	−0.804952	+	0.399985i
$181$	−10.9896	+	22.8202i	−0.816853	+	1.69621i	−0.104354	+	0.994540i	$0.533278\pi$
$181$	−10.9896	+	22.8202i	−0.816853	+	1.69621i	−0.712499	+	0.701673i	$0.752437\pi$
$182$	4.11933	−	6.64677i	0.305345	−	0.492692i
$183$	−0.706342	−	0.885724i	−0.0522143	−	0.0654746i
$184$	0.731750	−	7.79122i	0.0539453	−	0.574376i
$185$	−27.2227	−	21.7093i	−2.00145	−	1.59610i
$186$	0.922530	+	2.58504i	0.0676432	+	0.189544i
$187$	−21.2421	−	16.9400i	−1.55338	−	1.23878i
$188$	3.22907	−	1.60454i	0.235504	−	0.117023i
$189$	−1.67628	+	7.34424i	−0.121931	+	0.534215i
$190$	4.32097	+	1.48204i	0.313476	+	0.107518i
$191$		−	17.6156i		−	1.27462i	−0.770608	−	0.637310i	$-0.780047\pi$
$191$		−	17.6156i		−	1.27462i	0.770608	−	0.637310i	$-0.219953\pi$
$192$	9.36020	+	1.77386i	0.675514	+	0.128018i
$193$	3.73382	+	7.75336i	0.268766	+	0.558099i	0.991049	−	0.133499i	$-0.0426213\pi$
$193$	3.73382	+	7.75336i	0.268766	+	0.558099i	−0.722283	+	0.691598i	$0.756907\pi$
$194$	11.7611	−	18.9773i	0.844401	−	1.36249i
$195$	11.3348	+	14.2133i	0.811699	+	1.01784i
$196$	9.90355	−	2.38968i	0.707396	−	0.170691i
$197$	−12.4830	−	2.84916i	−0.889374	−	0.202994i	−0.246662	−	0.969102i	$-0.579334\pi$
$197$	−12.4830	−	2.84916i	−0.889374	−	0.202994i	−0.642712	+	0.766108i	$0.722191\pi$
$198$	−6.33702	−	9.94819i	−0.450352	−	0.706987i
$199$	−2.39642	+	1.15406i	−0.169878	+	0.0818089i	−0.516890	−	0.856052i	$-0.672910\pi$
$199$	−2.39642	+	1.15406i	−0.169878	+	0.0818089i	0.347012	+	0.937861i	$0.387196\pi$
$200$	22.5517	−	14.7607i	1.59464	−	1.04374i
$201$	−14.4151	+	3.29016i	−1.01676	+	0.232070i
$202$	−0.646558	+	0.230739i	−0.0454916	+	0.0162347i
$203$	4.66846	−	5.78642i	0.327662	−	0.406127i
$204$	−7.77031	−	9.50018i	−0.544031	−	0.665145i
$205$	−3.29370	−	14.4307i	−0.230042	−	1.00788i
$206$	−3.75570	−	0.399658i	−0.261672	−	0.0278455i
$207$	−3.94321	+	1.89895i	−0.274072	+	0.131986i
$208$	0.396287	+	16.0151i	0.0274776	+	1.11045i
$209$	−0.994214	+	4.35594i	−0.0687712	+	0.301306i
$210$	0.937823	−	8.81298i	0.0647160	−	0.608154i
$211$	−2.23006	−	2.79641i	−0.153524	−	0.192513i	0.699122	−	0.715003i	$-0.253575\pi$
$211$	−2.23006	−	2.79641i	−0.153524	−	0.192513i	−0.852645	+	0.522490i	$0.825003\pi$
$212$	0.325143	−	1.51043i	0.0223309	−	0.103737i
$213$	−6.83513	+	3.29162i	−0.468335	+	0.225538i
$214$	−5.89584	−	2.02220i	−0.403032	−	0.138235i
$215$			27.2812i			1.86057i
$216$	−5.36653	−	14.4697i	−0.365146	−	0.984539i
$217$	2.19368	+	0.500693i	0.148917	+	0.0339892i
$218$	−3.65445	+	0.434664i	−0.247511	+	0.0294391i
$219$	−0.985714	−	0.786081i	−0.0666084	−	0.0531184i
$220$	25.4476	+	31.1129i	1.71568	+	2.09763i
$221$	12.8678	−	16.1357i	0.865580	−	1.08540i
$222$	10.8106	−	10.9452i	0.725560	−	0.734591i
$223$	15.4463	+	19.3690i	1.03436	+	1.29705i	0.953847	+	0.300293i	$0.0970845\pi$
$223$	15.4463	+	19.3690i	1.03436	+	1.29705i	0.0805132	+	0.996754i	$0.474344\pi$
$224$	5.34909	−	5.69059i	0.357401	−	0.380219i
$225$	−13.5813	−	6.54042i	−0.905422	−	0.436028i
$226$	14.0630	−	1.67267i	0.935460	−	0.111264i
$227$	−14.7298	+	3.36198i	−0.977652	+	0.223143i	−0.681355	−	0.731953i	$-0.738609\pi$
$227$	−14.7298	+	3.36198i	−0.977652	+	0.223143i	−0.296297	+	0.955096i	$0.595752\pi$
$228$	−0.853141	+	1.82910i	−0.0565006	+	0.121135i
$229$	−2.44879	−	1.17927i	−0.161820	−	0.0779285i	0.351220	−	0.936293i	$-0.385767\pi$
$229$	−2.44879	−	1.17927i	−0.161820	−	0.0779285i	−0.513041	+	0.858364i	$0.671481\pi$
$230$	12.5790	−	8.01287i	0.829436	−	0.528353i
$231$	8.66852			0.570347
$232$	−1.51028	+	15.1565i	−0.0991545	+	0.995072i
$233$	17.3528			1.13682			0.568409	−	0.822746i	$-0.307559\pi$
$233$	17.3528			1.13682			0.568409	+	0.822746i	$0.307559\pi$
$234$	7.55673	−	4.81365i	0.493999	−	0.314678i
$235$	6.19153	+	2.98168i	0.403891	+	0.194504i
$236$	20.4909	+	9.55750i	1.33385	+	0.622140i
$237$	−16.8629	+	3.84885i	−1.09537	+	0.250010i
$238$	−9.99100	+	1.18834i	−0.647620	+	0.0770284i
$239$	−7.47221	−	3.59843i	−0.483337	−	0.232763i	0.176315	−	0.984334i	$-0.443582\pi$
$239$	−7.47221	−	3.59843i	−0.483337	−	0.232763i	−0.659652	+	0.751571i	$0.729297\pi$
$240$	8.28019	+	16.1588i	0.534484	+	1.04305i
$241$	−14.7887	−	18.5445i	−0.952626	−	1.19456i	−0.980813	−	0.194953i	$-0.937545\pi$
$241$	−14.7887	−	18.5445i	−0.952626	−	1.19456i	0.0281862	−	0.999603i	$-0.491027\pi$
$242$	−16.6947	+	16.9025i	−1.07318	+	1.08653i
$243$	−8.90503	+	11.1666i	−0.571258	+	0.716335i
$244$	1.47276	−	1.20459i	0.0942839	−	0.0771160i
$245$	15.1805	+	12.1060i	0.969843	+	0.773424i
$246$	6.49401	−	0.772403i	0.414043	−	0.0492466i
$247$	−3.30881	−	0.755213i	−0.210534	−	0.0480531i
$248$	−4.32201	+	1.60295i	−0.274448	+	0.101787i
$249$		−	8.61644i		−	0.546044i
$250$	23.0948	+	7.92125i	1.46065	+	0.500984i
$251$	11.0555	−	5.32405i	0.697817	−	0.336051i	−0.0511197	−	0.998693i	$-0.516279\pi$
$251$	11.0555	−	5.32405i	0.697817	−	0.336051i	0.748937	+	0.662642i	$0.230565\pi$
$252$	−4.27012	−	0.919209i	−0.268992	−	0.0579047i
$253$	9.09517	+	11.4050i	0.571808	+	0.717025i
$254$	2.98145	−	28.0175i	0.187073	−	1.75797i
$255$	5.20499	−	22.8046i	0.325949	−	1.42808i
$256$	−2.78448	+	15.7558i	−0.174030	+	0.984740i
$257$	−8.17878	+	3.93869i	−0.510179	+	0.245689i	−0.671219	−	0.741259i	$-0.734229\pi$
$257$	−8.17878	+	3.93869i	−0.510179	+	0.245689i	0.161041	+	0.986948i	$0.448515\pi$
$258$	−11.9859	−	1.27546i	−0.746207	−	0.0794067i
$259$	−2.80634	−	12.2954i	−0.174378	−	0.763998i
$260$	−23.6336	+	19.3302i	−1.46569	+	1.19881i
$261$	7.69589	−	3.65251i	0.476364	−	0.226085i
$262$	−3.06952	+	1.09543i	−0.189635	+	0.0676757i
$263$	−3.85227	+	0.879255i	−0.237541	+	0.0542172i	−0.339634	−	0.940558i	$-0.610303\pi$
$263$	−3.85227	+	0.879255i	−0.237541	+	0.0542172i	0.102093	+	0.994775i	$0.467446\pi$
$264$	−14.8590	+	9.72566i	−0.914508	+	0.598573i
$265$	2.65300	−	1.27762i	0.162973	−	0.0784835i
$266$	0.888930	+	1.39549i	0.0545038	+	0.0855630i
$267$	−7.90675	−	1.80466i	−0.483885	−	0.110444i
$268$	−5.82477	−	24.1396i	−0.355804	−	1.47456i
$269$	−13.8902	−	17.4178i	−0.846902	−	1.06198i	−0.997306	−	0.0733566i	$-0.976629\pi$
$269$	−13.8902	−	17.4178i	−0.846902	−	1.06198i	0.150404	−	0.988625i	$-0.451943\pi$
$270$	15.4943	−	25.0009i	0.942951	−	1.52151i
$271$	−4.99115	−	10.3642i	−0.303191	−	0.629583i	0.692591	−	0.721330i	$-0.256469\pi$
$271$	−4.99115	−	10.3642i	−0.303191	−	0.629583i	−0.995782	+	0.0917476i	$0.970755\pi$
$272$	15.7926	−	13.2464i	0.957570	−	0.803180i
$273$			6.58468i			0.398523i
$274$	23.6112	+	8.09837i	1.42641	+	0.489240i
$275$	−11.1801	+	48.9831i	−0.674184	+	2.95379i
$276$	2.93231	+	5.90114i	0.176504	+	0.355207i
$277$	2.87433	+	2.29220i	0.172701	+	0.137725i	0.706026	−	0.708186i	$-0.250486\pi$
$277$	2.87433	+	2.29220i	0.172701	+	0.137725i	−0.533325	+	0.845911i	$0.679058\pi$
$278$	2.67813	+	7.50444i	0.160623	+	0.450086i
$279$	2.01564	+	1.60742i	0.120673	+	0.0962334i
$280$	14.8195	+	1.39185i	0.885635	+	0.0831787i
$281$	−4.00483	−	5.02189i	−0.238908	−	0.299581i	0.647894	−	0.761730i	$-0.275650\pi$
$281$	−4.00483	−	5.02189i	−0.238908	−	0.299581i	−0.886802	+	0.462149i	$0.847078\pi$
$282$	−1.59945	+	2.58081i	−0.0952461	+	0.153685i
$283$	10.6360	−	22.0859i	0.632245	−	1.31287i	−0.300997	−	0.953625i	$-0.597320\pi$
$283$	10.6360	−	22.0859i	0.632245	−	1.31287i	0.933243	−	0.359246i	$-0.116966\pi$
$284$	−5.66976	−	11.4102i	−0.336439	−	0.677068i
$285$	−3.75013	+	0.855943i	−0.222139	+	0.0507017i
$286$	−21.2465	−	20.9853i	−1.25633	−	1.24089i
$287$	2.32616	−	4.83031i	0.137309	−	0.285124i
$288$	8.35087	−	3.21522i	0.492079	−	0.189459i
$289$	−9.55465			−0.562038
$290$	−24.5719	+	15.4571i	−1.44291	+	0.907672i
$291$			18.8000i			1.10208i
$292$	1.29962	−	1.67168i	0.0760547	−	0.0978279i
$293$	14.5269	+	6.99579i	0.848671	+	0.408698i	0.807084	−	0.590437i	$-0.201044\pi$
$293$	14.5269	+	6.99579i	0.848671	+	0.408698i	0.0415867	+	0.999135i	$0.486759\pi$
$294$	−6.02842	+	6.10346i	−0.351585	+	0.355961i
$295$	9.58890	+	42.0117i	0.558287	+	2.44602i
$296$	18.6053	+	17.9273i	1.08141	+	1.04201i
$297$	25.9193	+	12.4821i	1.50399	+	0.724285i
$298$	3.89270	−	6.28110i	0.225498	−	0.363854i
$299$	−8.66332	+	6.90876i	−0.501013	+	0.399544i
$300$	−9.59369	+	20.5685i	−0.553892	+	1.18752i
$301$	−6.16092	+	7.72555i	−0.355110	+	0.445293i
$302$	−16.1769	+	5.77309i	−0.930877	+	0.332204i
$303$	0.360421	−	0.451953i	0.0207056	−	0.0259640i
$304$	−3.08942	−	1.39472i	−0.177190	−	0.0799926i
$305$	3.53527	+	0.806903i	0.202429	+	0.0462031i
$306$	−10.9045	−	3.74012i	−0.623370	−	0.213808i
$307$	9.15057			0.522250			0.261125	−	0.965305i	$-0.415906\pi$
$307$	9.15057			0.522250			0.261125	+	0.965305i	$0.415906\pi$
$308$	0.180081	+	14.5574i	0.0102611	+	0.829486i
$309$	2.86542	−	1.37991i	0.163008	−	0.0785004i
$310$	−7.46761	−	4.62804i	−0.424132	−	0.262855i
$311$	3.18056	−	2.53641i	0.180353	−	0.143827i	−0.529152	−	0.848527i	$-0.677490\pi$
$311$	3.18056	−	2.53641i	0.180353	−	0.143827i	0.709505	+	0.704700i	$0.248919\pi$
$312$	−7.38770	−	11.2870i	−0.418246	−	0.639002i
$313$	3.81595	−	16.7188i	0.215690	−	0.945000i	−0.744932	−	0.667141i	$-0.767518\pi$
$313$	3.81595	−	16.7188i	0.215690	−	0.945000i	0.960622	−	0.277859i	$-0.0896249\pi$
$314$	−12.8626	−	20.1923i	−0.725877	−	1.13952i
$315$	−3.61195	−	7.50029i	−0.203510	−	0.422594i
$316$	−6.81386	−	28.2387i	−0.383310	−	1.58855i
$317$	1.41375	+	6.19406i	0.0794044	+	0.347893i	0.998987	−	0.0450039i	$-0.0143300\pi$
$317$	1.41375	+	6.19406i	0.0794044	+	0.347893i	−0.919582	+	0.392897i	$0.871473\pi$
$318$	0.437281	+	1.22531i	0.0245215	+	0.0687122i
$319$	−17.5766	−	22.2987i	−0.984101	−	1.24849i
$320$	−26.9642	+	14.2410i	−1.50735	+	0.796095i
$321$	5.11696	−	1.16791i	0.285601	−	0.0651865i
$322$	5.37169	+	0.571623i	0.299353	+	0.0318553i
$323$	1.89469	+	3.93437i	0.105424	+	0.218914i
$324$	2.76641	+	2.15070i	0.153690	+	0.119483i
$325$	−37.2080	−	8.49248i	−2.06393	−	0.471078i
$326$	25.6620	+	2.73079i	1.42129	+	0.151244i
$327$	2.42286	−	1.93217i	0.133984	−	0.106849i
$328$	1.43204	+	10.8896i	0.0790710	+	0.601280i
$329$	1.07997	+	2.24259i	0.0595409	+	0.123638i
$330$	−32.0152	−	10.9808i	−1.76238	−	0.604475i
$331$	−16.7244			−0.919257			−0.459629	−	0.888111i	$-0.652017\pi$
$331$	−16.7244			−0.919257			−0.459629	+	0.888111i	$0.652017\pi$
$332$	14.4700	−	0.178999i	0.794142	−	0.00982384i
$333$	3.21543	−	14.0877i	0.176204	−	0.772002i
$334$	2.05637	+	17.2890i	0.112519	+	0.946012i
$335$	29.5080	−	37.0019i	1.61220	−	2.02163i
$336$	−1.30435	+	6.44580i	−0.0711579	+	0.351647i
$337$	1.79838	+	1.43416i	0.0979639	+	0.0781236i	0.671247	−	0.741234i	$-0.265759\pi$
$337$	1.79838	+	1.43416i	0.0979639	+	0.0781236i	−0.573283	+	0.819357i	$0.694330\pi$
$338$	3.02125	−	3.05885i	0.164334	−	0.166380i
$339$	−9.32363	+	7.43535i	−0.506390	+	0.403833i
$340$	38.4048	+	8.26723i	2.08280	+	0.448354i
$341$	3.72832	−	7.74194i	0.201900	−	0.419250i
$342$	0.223905	+	1.88249i	0.0121074	+	0.101793i
$343$	3.71545	+	16.2784i	0.200615	+	0.878953i
$344$	1.89294	−	20.1549i	0.102061	−	1.08668i
$345$	−5.44904	+	11.3150i	−0.293366	+	0.609181i
$346$	−8.61885	+	5.49023i	−0.463352	+	0.295156i
$347$			14.1365i			0.758889i	0.925214	+	0.379445i	$0.123885\pi$
$347$			14.1365i			0.758889i	−0.925214	+	0.379445i	$0.876115\pi$
$348$	−5.64219	−	11.5182i	−0.302453	−	0.617438i
$349$		−	11.9386i		−	0.639060i	−0.947576	−	0.319530i	$-0.896475\pi$
$349$		−	11.9386i		−	0.639060i	0.947576	−	0.319530i	$-0.103525\pi$
$350$	9.99614	+	15.6925i	0.534316	+	0.838798i
$351$	−9.48151	+	19.6886i	−0.506086	+	1.05090i
$352$	−16.6414	−	24.7513i	−0.886990	−	1.31925i
$353$	1.15897	+	5.07780i	0.0616859	+	0.270264i	0.996360	−	0.0852411i	$-0.0271661\pi$
$353$	1.15897	+	5.07780i	0.0616859	+	0.270264i	−0.934674	+	0.355505i	$0.884309\pi$
$354$	−18.9059	+	2.24868i	−1.00484	+	0.119516i
$355$	10.5360	−	21.8782i	0.559192	−	1.16117i
$356$	2.86640	−	13.3156i	0.151919	−	0.705728i
$357$	6.62391	−	5.28239i	0.350575	−	0.279574i
$358$	−11.0771	−	10.9409i	−0.585441	−	0.578244i
$359$	−2.82910	−	2.25613i	−0.149314	−	0.119074i	0.545984	−	0.837796i	$-0.316156\pi$
$359$	−2.82910	−	2.25613i	−0.149314	−	0.119074i	−0.695298	+	0.718722i	$0.744728\pi$
$360$	14.6063	+	8.80407i	0.769821	+	0.464015i
$361$	−11.3986	+	14.2934i	−0.599925	+	0.752282i
$362$	35.5692	−	4.23063i	1.86948	−	0.222357i
$363$	4.45153	−	19.5034i	0.233645	−	1.02366i
$364$	−11.0579	+	0.136791i	−0.579594	+	0.00716979i
$365$	4.03555			0.211230
$366$	−0.519790	+	1.51548i	−0.0271699	+	0.0792152i
$367$	−14.0447	−	29.1641i	−0.733127	−	1.52235i	−0.848595	−	0.529043i	$-0.822551\pi$
$367$	−14.0447	−	29.1641i	−0.733127	−	1.52235i	0.115468	−	0.993311i	$-0.463163\pi$
$368$	−9.84913	+	5.04695i	−0.513421	+	0.263090i
$369$	4.80261	−	3.82995i	0.250014	−	0.199379i
$370$	−5.21057	+	48.9652i	−0.270885	+	2.54558i
$371$	1.03981	+	0.237329i	0.0539841	+	0.0123215i
$372$	2.38243	−	3.06448i	0.123523	−	0.158886i
$373$	4.49316	+	9.33015i	0.232647	+	0.483097i	0.984309	−	0.176452i	$-0.0564619\pi$
$373$	4.49316	+	9.33015i	0.232647	+	0.483097i	−0.751662	+	0.659548i	$0.770748\pi$
$374$	−4.06586	+	38.2080i	−0.210240	+	1.97569i
$375$	−20.0438	+	4.57487i	−1.03506	+	0.236245i
$376$	−4.36730	−	2.63242i	−0.225226	−	0.135757i
$377$	16.9383	−	13.3513i	0.872365	−	0.687629i
$378$	10.0336	−	3.58073i	0.516075	−	0.184173i
$379$	−3.88003	−	16.9995i	−0.199304	−	0.873207i	−0.971352	−	0.237644i	$-0.923625\pi$
$379$	−3.88003	−	16.9995i	−0.199304	−	0.873207i	0.772049	−	0.635564i	$-0.219232\pi$
$380$	−1.51533	−	6.27998i	−0.0777347	−	0.322156i
$381$	10.2941	+	21.3760i	0.527384	+	1.09512i
$382$	−21.0114	+	13.3843i	−1.07504	+	0.684800i
$383$	−3.35484	+	14.6985i	−0.171424	+	0.751060i	0.813989	+	0.580881i	$0.197292\pi$
$383$	−3.35484	+	14.6985i	−0.171424	+	0.751060i	−0.985413	+	0.170179i	$0.945565\pi$
$384$	−4.99605	−	12.5124i	−0.254954	−	0.638519i
$385$	−21.6932	+	17.2997i	−1.10559	+	0.881676i
$386$	6.41104	−	10.3446i	0.326314	−	0.526526i
$387$	−10.2006	+	4.91234i	−0.518524	+	0.249708i
$388$	−31.5717	+	0.390554i	−1.60281	+	0.0198274i
$389$	0.394725			0.0200133			0.0100067	−	0.999950i	$-0.496815\pi$
$389$	0.394725			0.0200133			0.0100067	+	0.999950i	$0.496815\pi$
$390$	8.34114	−	24.3191i	0.422370	−	1.23144i
$391$	13.8999	+	3.17255i	0.702946	+	0.160443i
$392$	−10.3750	−	9.99701i	−0.524019	−	0.504925i
$393$	1.71109	−	2.14564i	0.0863130	−	0.108233i
$394$	6.08615	+	17.0541i	0.306616	+	0.859174i
$395$	34.5187	−	43.2851i	1.73683	−	2.17791i
$396$	−7.05107	+	15.1172i	−0.354329	+	0.759670i
$397$	−17.7139	+	14.1263i	−0.889033	+	0.708981i	−0.957426	−	0.288678i	$-0.906784\pi$
$397$	−17.7139	+	14.1263i	−0.889033	+	0.708981i	0.0683928	+	0.997658i	$0.478213\pi$
$398$	3.19733	+	1.98154i	0.160268	+	0.0993255i
$399$	−1.25527	−	0.604505i	−0.0628419	−	0.0302631i
$400$	−34.7409	−	15.6838i	−1.73705	−	0.784190i
$401$	6.35165	+	27.8284i	0.317186	+	1.38968i	0.842464	+	0.538753i	$0.181105\pi$
$401$	6.35165	+	27.8284i	0.317186	+	1.38968i	−0.525277	+	0.850931i	$0.676038\pi$
$402$	14.8770	+	14.6941i	0.741997	+	0.732875i
$403$	5.88085	+	2.83207i	0.292946	+	0.141075i
$404$	0.766472	+	0.595881i	0.0381334	+	0.0296462i
$405$			6.67830i			0.331847i
$406$	−10.4490	−	1.17190i	−0.518574	−	0.0581602i
$407$	−48.1625			−2.38733
$408$	−5.42768	+	16.4864i	−0.268710	+	0.816200i
$409$	6.30331	−	13.0889i	0.311678	−	0.647207i	−0.685009	−	0.728535i	$-0.740202\pi$
$409$	6.30331	−	13.0889i	0.311678	−	0.647207i	0.996687	+	0.0813277i	$0.0259160\pi$
$410$	−14.7099	+	14.8930i	−0.726472	+	0.735514i
$411$	−20.4920	+	4.67717i	−1.01080	+	0.230708i
$412$	2.37687	+	4.78335i	0.117100	+	0.235659i
$413$	−6.77210	+	14.0624i	−0.333233	+	0.691966i
$414$	5.26106	+	3.26053i	0.258567	+	0.160246i
$415$	17.1958	+	21.5628i	0.844108	+	1.05848i
$416$	18.8013	−	12.6410i	0.921810	−	0.619774i
$417$	−5.24571	−	4.18331i	−0.256883	−	0.204858i
$418$	5.95104	−	2.12376i	0.291075	−	0.103877i
$419$	−1.91505	−	1.52720i	−0.0935562	−	0.0746086i	0.575595	−	0.817735i	$-0.304771\pi$
$419$	−1.91505	−	1.52720i	−0.0935562	−	0.0746086i	−0.669151	+	0.743127i	$0.733342\pi$
$420$	−11.2244	+	5.57748i	−0.547697	+	0.272153i
$421$	−6.71405	+	29.4162i	−0.327223	+	1.43366i	0.497177	+	0.867649i	$0.334370\pi$
$421$	−6.71405	+	29.4162i	−0.327223	+	1.43366i	−0.824400	+	0.566008i	$0.808487\pi$
$422$	−1.64108	+	4.78466i	−0.0798866	+	0.232914i
$423$			2.85193i			0.138665i
$424$	−2.04864	+	0.759799i	−0.0994907	+	0.0368991i
$425$	21.3061	+	44.2425i	1.03350	+	2.14608i
$426$	9.11948	+	5.65178i	0.441840	+	0.273830i
$427$	0.818902	+	1.02687i	0.0396294	+	0.0496937i
$428$	2.06763	+	8.56887i	0.0999425	+	0.414192i
$429$	24.5159	+	5.59558i	1.18364	+	0.270157i
$430$	32.5403	−	20.7283i	1.56923	−	0.999605i
$431$	24.9017	−	11.9920i	1.19947	−	0.577636i	0.275948	−	0.961173i	$-0.411008\pi$
$431$	24.9017	−	11.9920i	1.19947	−	0.577636i	0.923526	+	0.383537i	$0.125294\pi$
$432$	−13.1816	+	17.3951i	−0.634200	+	0.836923i
$433$	6.77116	−	1.54547i	0.325401	−	0.0742706i	−0.0566999	−	0.998391i	$-0.518058\pi$
$433$	6.77116	−	1.54547i	0.325401	−	0.0742706i	0.382101	+	0.924121i	$0.375201\pi$
$434$	−1.06954	−	2.99698i	−0.0513396	−	0.143860i
$435$	10.7308	−	21.9631i	0.514500	−	1.05305i
$436$	3.29510	+	4.02868i	0.157807	+	0.192939i
$437$	−0.521715	−	2.28578i	−0.0249570	−	0.109344i
$438$	−0.188671	+	1.77300i	−0.00901507	+	0.0847170i
$439$	1.05408	−	0.507619i	0.0503086	−	0.0242273i	−0.408560	−	0.912731i	$-0.633969\pi$
$439$	1.05408	−	0.507619i	0.0503086	−	0.0242273i	0.458869	+	0.888504i	$0.348255\pi$
$440$	17.7755	−	53.9927i	0.847415	−	2.57400i
$441$	−1.79305	+	7.85587i	−0.0853834	+	0.374089i
$442$	−29.0231	−	3.08846i	−1.38049	−	0.146903i
$443$	9.32564	+	11.6940i	0.443075	+	0.555598i	0.952351	−	0.305005i	$-0.0986582\pi$
$443$	9.32564	+	11.6940i	0.443075	+	0.555598i	−0.509276	+	0.860603i	$0.670087\pi$
$444$	−21.2690	−	4.57847i	−1.00938	−	0.217285i
$445$	23.3884	−	11.2633i	1.10872	−	0.533929i
$446$	11.3668	−	33.1405i	0.538233	−	1.56925i
$447$			6.22242i			0.294310i
$448$	−10.8518	−	2.05654i	−0.512700	−	0.0971624i
$449$	22.3920	+	5.11083i	1.05674	+	0.241195i	0.715379	−	0.698736i	$-0.246254\pi$
$449$	22.3920	+	5.11083i	1.05674	+	0.241195i	0.341364	+	0.939931i	$0.389111\pi$
$450$	2.51784	+	21.1688i	0.118692	+	0.997909i
$451$	−16.0073	−	12.7654i	−0.753755	−	0.601100i
$452$	−12.6802	−	15.5031i	−0.596426	−	0.729206i
$453$	9.01774	−	11.3079i	0.423691	−	0.531291i
$454$	15.2018	+	15.0149i	0.713454	+	0.704683i
$455$	−13.1410	−	16.4783i	−0.616061	−	0.772515i
$456$	2.82992	−	0.372147i	0.132523	−	0.0174274i
$457$	8.32752	+	4.01032i	0.389545	+	0.187595i	0.618396	−	0.785866i	$-0.287783\pi$
$457$	8.32752	+	4.01032i	0.389545	+	0.187595i	−0.228851	+	0.973461i	$0.573497\pi$
$458$	0.453979	+	3.81685i	0.0212131	+	0.178350i
$459$	27.4122	−	6.25665i	1.27949	−	0.292035i
$460$	−19.1151	−	8.91575i	−0.891244	−	0.415699i
$461$	12.5074	+	6.02326i	0.582529	+	0.280531i	0.701850	−	0.712325i	$-0.252358\pi$
$461$	12.5074	+	6.02326i	0.582529	+	0.280531i	−0.119321	+	0.992856i	$0.538072\pi$
$462$	−6.58633	−	10.3396i	−0.306424	−	0.481040i
$463$	−15.4213			−0.716689			−0.358345	−	0.933589i	$-0.616659\pi$
$463$	−15.4213			−0.716689			−0.358345	+	0.933589i	$0.616659\pi$
$464$	19.2257	−	9.71446i	0.892533	−	0.450983i
$465$	7.39785			0.343067
$466$	−13.1846	−	20.6979i	−0.610765	−	0.958812i
$467$	24.6122	+	11.8526i	1.13892	+	0.548473i	0.905687	−	0.423948i	$-0.139356\pi$
$467$	24.6122	+	11.8526i	1.13892	+	0.548473i	0.233230	+	0.972421i	$0.425070\pi$
$468$	−11.4832	−	5.35605i	−0.530810	−	0.247584i
$469$	16.7123	−	3.81447i	0.771701	−	0.176136i
$470$	−1.14785	−	9.65056i	−0.0529462	−	0.445147i
$471$	18.1633	+	8.74701i	0.836923	+	0.403041i
$472$	−4.16907	−	31.7028i	−0.191897	−	1.45924i
$473$	23.5280	+	29.5032i	1.08182	+	1.35656i
$474$	17.4032	+	17.1893i	0.799357	+	0.789530i
$475$	5.03483	−	6.31347i	0.231014	−	0.289682i
$476$	9.00856	+	11.0141i	0.412907	+	0.504830i
$477$	0.955414	+	0.761917i	0.0437454	+	0.0348858i
$478$	1.38527	+	11.6467i	0.0633608	+	0.532709i
$479$	33.8874	+	7.73458i	1.54836	+	0.353402i	0.909427	−	0.415864i	$-0.136521\pi$
$479$	33.8874	+	7.73458i	1.54836	+	0.353402i	0.638929	+	0.769266i	$0.279378\pi$
$480$	12.9825	−	22.1538i	0.592568	−	1.01118i
$481$		−	36.5847i		−	1.66812i
$482$	−10.8829	+	31.7297i	−0.495702	+	1.44525i
$483$	−4.09834	+	1.97366i	−0.186481	+	0.0898045i
$484$	32.8454	+	7.07048i	1.49297	+	0.321385i
$485$	−37.5191	−	47.0475i	−1.70366	−	2.13632i
$486$	20.0852	+	2.13734i	0.911083	+	0.0969518i
$487$	7.92745	−	34.7324i	0.359227	−	1.57388i	−0.395897	−	0.918295i	$-0.629566\pi$
$487$	7.92745	−	34.7324i	0.359227	−	1.57388i	0.755124	−	0.655582i	$-0.227577\pi$
$488$	−2.55581	−	0.841424i	−0.115696	−	0.0380895i
$489$	−19.5788	+	9.42867i	−0.885386	+	0.426379i
$490$	2.90562	−	27.3050i	0.131263	−	1.23351i
$491$	5.32922	+	23.3488i	0.240504	+	1.05372i	0.940560	+	0.339629i	$0.110301\pi$
$491$	5.32922	+	23.3488i	0.240504	+	1.05372i	−0.700055	+	0.714089i	$0.746841\pi$
$492$	−5.85544	−	7.15901i	−0.263984	−	0.322753i
$493$	−27.0192	−	6.32841i	−1.21688	−	0.285017i
$494$	1.61323	+	4.52046i	0.0725826	+	0.203385i
$495$	−30.9942	+	7.07423i	−1.39309	+	0.317963i
$496$	5.19581	+	3.93726i	0.233299	+	0.176788i
$497$	7.92435	−	3.81617i	0.355456	−	0.171178i
$498$	−10.2774	+	6.54676i	−0.460543	+	0.293367i
$499$	40.9705	+	9.35125i	1.83409	+	0.418620i	0.992577	−	0.121614i	$-0.0388071\pi$
$499$	40.9705	+	9.35125i	1.83409	+	0.418620i	0.841515	+	0.540234i	$0.181664\pi$
$500$	−8.09918	−	33.5654i	−0.362206	−	1.50109i
$501$	−9.14096	−	11.4624i	−0.408388	−	0.512102i
$502$	−14.7503	−	9.14149i	−0.658339	−	0.408005i
$503$	−12.1098	−	25.1463i	−0.539950	−	1.12122i	−0.975285	−	0.220949i	$-0.929085\pi$
$503$	−12.1098	−	25.1463i	−0.539950	−	1.12122i	0.435336	−	0.900268i	$-0.356630\pi$
$504$	2.14803	+	5.79170i	0.0956807	+	0.257983i
$505$			1.85031i			0.0823379i
$506$	6.69305	−	19.5139i	0.297542	−	0.867501i
$507$	−0.805596	+	3.52954i	−0.0357778	+	0.156753i
$508$	−35.6838	+	17.7315i	−1.58321	+	0.786706i
$509$	−1.26581	−	1.00945i	−0.0561061	−	0.0447431i	0.595035	−	0.803700i	$-0.297138\pi$
$509$	−1.26581	−	1.00945i	−0.0561061	−	0.0447431i	−0.651141	+	0.758956i	$0.725710\pi$
$510$	−31.1554	+	11.1185i	−1.37958	+	0.492336i
$511$	1.14279	+	0.911348i	0.0505542	+	0.0403157i
$512$	20.9088	−	8.65002i	0.924046	−	0.382281i
$513$	−2.88287	−	3.61500i	−0.127282	−	0.159606i
$514$	10.9122	+	6.76281i	0.481316	+	0.298295i
$515$	−4.41689	+	9.17176i	−0.194631	+	0.404156i
$516$	7.58550	+	15.2655i	0.333933	+	0.672026i
$517$	9.26728	−	2.11520i	0.407575	−	0.0930263i
$518$	−12.5333	+	12.6893i	−0.550683	+	0.557538i
$519$	3.73355	−	7.75280i	0.163885	−	0.340310i
$520$	41.0133	+	13.5024i	1.79855	+	0.592121i
$521$	−32.0940			−1.40606			−0.703031	−	0.711159i	$-0.748170\pi$
$521$	−32.0940			−1.40606			−0.703031	+	0.711159i	$0.748170\pi$
$522$	−10.2039	−	6.40428i	−0.446615	−	0.280308i
$523$		−	16.4209i		−	0.718037i	−0.933331	−	0.359018i	$-0.883112\pi$
$523$		−	16.4209i		−	0.718037i	0.933331	−	0.359018i	$-0.116888\pi$
$524$	3.63881	+	2.82893i	0.158962	+	0.123583i
$525$	−14.1157	−	6.79774i	−0.616058	−	0.296678i
$526$	3.97570	+	3.92682i	0.173349	+	0.171218i
$527$	−1.86882	−	8.18783i	−0.0814071	−	0.356668i
$528$	22.8903	+	10.3339i	0.996175	+	0.449723i
$529$	13.8255	+	6.65803i	0.601110	+	0.289479i
$530$	−3.53966	−	2.19370i	−0.153753	−	0.0952881i
$531$	−13.9818	+	11.1501i	−0.606756	+	0.483872i
$532$	0.989094	−	2.12058i	0.0428827	−	0.0919389i
$533$	9.69671	−	12.1593i	0.420011	−	0.526677i
$534$	3.85498	+	10.8021i	0.166821	+	0.467454i
$535$	−10.4745	+	13.1346i	−0.452852	+	0.567859i
$536$	−24.3674	+	25.2889i	−1.05251	+	1.09231i
$537$	12.7816	+	2.91731i	0.551566	+	0.125891i
$538$	−10.2217	+	29.8019i	−0.440688	+	1.28485i
$539$	26.8574			1.15683
$540$	−41.5929	+	0.514520i	−1.78987	+	0.0221414i
$541$	−17.7796	+	8.56219i	−0.764404	+	0.368117i	−0.775111	−	0.631825i	$-0.782306\pi$
$541$	−17.7796	+	8.56219i	−0.764404	+	0.368117i	0.0107072	+	0.999943i	$0.496592\pi$
$542$	−8.56991	+	13.8280i	−0.368109	+	0.593965i
$543$	−23.5820	+	18.8060i	−1.01200	+	0.807043i
$544$	−27.7992	−	8.77244i	−1.19188	−	0.376115i
$545$	−2.20725	+	9.67058i	−0.0945481	+	0.414242i
$546$	7.85403	−	5.00303i	0.336121	−	0.214110i
$547$	12.8667	+	26.7180i	0.550141	+	1.14238i	0.971840	+	0.235643i	$0.0757196\pi$
$547$	12.8667	+	26.7180i	0.550141	+	1.14238i	−0.421699	+	0.906736i	$0.638566\pi$
$548$	−8.28027	−	34.3160i	−0.353716	−	1.46591i
$549$	0.334867	+	1.46715i	0.0142918	+	0.0626163i
$550$	66.9203	−	23.8820i	2.85349	−	1.01833i
$551$	0.990211	+	4.45473i	0.0421844	+	0.189778i
$552$	4.81076	−	7.98126i	0.204759	−	0.339705i
$553$	19.5502	−	4.46219i	0.831357	−	0.189752i
$554$	0.550162	−	5.17002i	0.0233741	−	0.219653i
$555$	−17.9907	−	37.3581i	−0.763662	−	1.58576i
$556$	6.91625	−	8.89625i	0.293314	−	0.377285i
$557$	−3.97649	−	0.907607i	−0.168489	−	0.0384566i	0.137444	−	0.990510i	$-0.456111\pi$
$557$	−3.97649	−	0.907607i	−0.168489	−	0.0384566i	−0.305933	+	0.952053i	$0.598968\pi$
$558$	0.385804	−	3.62551i	0.0163324	−	0.153480i
$559$	−22.4109	+	17.8721i	−0.947879	+	0.755909i
$560$	−9.59969	−	18.7338i	−0.405661	−	0.791649i
$561$	−14.0383	−	29.1508i	−0.592698	−	1.23075i
$562$	−2.94711	+	8.59247i	−0.124317	+	0.362452i
$563$	−12.3185			−0.519164			−0.259582	−	0.965721i	$-0.583585\pi$
$563$	−12.3185			−0.519164			−0.259582	+	0.965721i	$0.583585\pi$
$564$	4.29358	−	0.0531132i	0.180792	−	0.00223647i
$565$	8.49391	−	37.2143i	0.357342	−	1.56562i
$566$	−34.4247	+	4.09450i	−1.44698	+	0.172105i
$567$	−1.50816	+	1.89117i	−0.0633367	+	0.0794218i
$568$	−9.30183	+	15.4322i	−0.390296	+	0.647519i
$569$	−5.91061	−	4.71355i	−0.247785	−	0.197602i	0.491719	−	0.870754i	$-0.336369\pi$
$569$	−5.91061	−	4.71355i	−0.247785	−	0.197602i	−0.739505	+	0.673152i	$0.764940\pi$
$570$	3.87029	+	3.82271i	0.162109	+	0.160116i
$571$	1.06388	−	0.848419i	0.0445221	−	0.0355052i	−0.600976	−	0.799267i	$-0.705221\pi$
$571$	1.06388	−	0.848419i	0.0445221	−	0.0355052i	0.645498	+	0.763762i	$0.276650\pi$
$572$	−8.88762	+	41.2868i	−0.371610	+	1.72629i
$573$	9.10181	−	18.9001i	0.380233	−	0.789563i
$574$	−7.52888	+	0.895490i	−0.314249	+	0.0373770i
$575$	−5.86676	−	25.7040i	−0.244661	−	1.07193i
$576$	−10.1800	−	7.51776i	−0.424167	−	0.313240i
$577$	4.68117	−	9.72055i	0.194880	−	0.404672i	−0.780515	−	0.625137i	$-0.785043\pi$
$577$	4.68117	−	9.72055i	0.194880	−	0.404672i	0.975395	+	0.220465i	$0.0707575\pi$
$578$	7.25961	+	11.3965i	0.301960	+	0.474033i
$579$			10.2480i			0.425891i
$580$	37.1065	+	17.5644i	1.54076	+	0.729321i
$581$			9.98952i			0.414435i
$582$	22.4241	−	14.2842i	0.929511	−	0.592100i
$583$	1.76723	−	3.66969i	0.0731912	−	0.151983i
$584$	−2.98139	−	0.280012i	−0.123371	−	0.0115870i
$585$	−5.37365	−	23.5435i	−0.222173	−	0.973403i
$586$	−2.69314	−	22.6427i	−0.111253	−	0.935360i
$587$	0.746468	−	1.55006i	0.0308100	−	0.0639777i	−0.884996	−	0.465599i	$-0.845839\pi$
$587$	0.746468	−	1.55006i	0.0308100	−	0.0639777i	0.915806	+	0.401621i	$0.131553\pi$
$588$	11.8604	+	2.55314i	0.489116	+	0.105290i
$589$	−1.07978	+	0.861094i	−0.0444915	+	0.0354808i
$590$	42.8248	−	43.3578i	1.76307	−	1.78501i
$591$	−11.9211	−	9.50674i	−0.490368	−	0.391055i
$592$	7.24698	−	35.8130i	0.297849	−	1.47191i
$593$	−13.2723	+	16.6429i	−0.545027	+	0.683443i	−0.975711	−	0.219060i	$-0.929701\pi$
$593$	−13.2723	+	16.6429i	−0.545027	+	0.683443i	0.430684	+	0.902503i	$0.358272\pi$
$594$	−4.80518	−	40.3998i	−0.197159	−	1.65762i
$595$	−6.03444	+	26.4386i	−0.247388	+	1.08388i
$596$	−10.4496	+	0.129265i	−0.428032	+	0.00529491i
$597$	−3.16746			−0.129635
$598$	14.8230	+	5.08410i	0.606156	+	0.207904i
$599$	−4.22988	−	8.78344i	−0.172828	−	0.358881i	0.796505	−	0.604632i	$-0.206680\pi$
$599$	−4.22988	−	8.78344i	−0.172828	−	0.358881i	−0.969333	+	0.245751i	$0.920966\pi$
$600$	31.8228	−	4.18485i	1.29916	−	0.170846i
$601$	−9.43891	+	7.52728i	−0.385021	+	0.307044i	−0.796804	−	0.604238i	$-0.793478\pi$
$601$	−9.43891	+	7.52728i	−0.385021	+	0.307044i	0.411783	+	0.911282i	$0.364906\pi$
$602$	13.8959	+	1.47871i	0.566354	+	0.0602679i
$603$	19.1485	+	4.37051i	0.779786	+	0.177981i
$604$	19.1772	+	14.9090i	0.780308	+	0.606638i
$605$	27.7828	+	57.6916i	1.12953	+	2.34550i
$606$	−0.812924	−	0.0865064i	−0.0330228	−	0.00351408i
$607$	1.88018	−	0.429139i	0.0763141	−	0.0174182i	−0.184193	−	0.982890i	$-0.558967\pi$
$607$	1.88018	−	0.429139i	0.0763141	−	0.0174182i	0.260508	+	0.965472i	$0.416110\pi$
$608$	0.683753	+	4.74468i	0.0277298	+	0.192422i
$609$	7.99867	−	3.79621i	0.324122	−	0.153830i
$610$	−1.72364	−	4.82986i	−0.0697883	−	0.195555i
$611$	1.60672	+	7.03951i	0.0650010	+	0.284788i
$612$	3.82413	+	15.8484i	0.154581	+	0.640632i
$613$	10.6705	+	22.1576i	0.430979	+	0.894937i	0.997485	+	0.0708795i	$0.0225806\pi$
$613$	10.6705	+	22.1576i	0.430979	+	0.894937i	−0.566506	+	0.824058i	$0.691705\pi$
$614$	−6.95259	−	10.9145i	−0.280584	−	0.440475i
$615$	3.92231	−	17.1847i	0.158163	−	0.692956i
$616$	17.2269	−	11.2755i	0.694091	−	0.454303i
$617$	−13.5963	+	10.8427i	−0.547366	+	0.436510i	−0.857724	−	0.514110i	$-0.828122\pi$
$617$	−13.5963	+	10.8427i	−0.547366	+	0.436510i	0.310359	+	0.950620i	$0.399551\pi$
$618$	−3.82306	−	2.36933i	−0.153786	−	0.0953086i
$619$	−21.4873	+	10.3477i	−0.863646	+	0.415910i	−0.812625	−	0.582787i	$-0.801962\pi$
$619$	−21.4873	+	10.3477i	−0.863646	+	0.415910i	−0.0510216	+	0.998698i	$0.516248\pi$
$620$	0.153684	+	12.4235i	0.00617209	+	0.498941i
$621$	−15.0962			−0.605790
$622$	−5.44194	−	1.86652i	−0.218202	−	0.0748406i
$623$	9.16674	+	2.09225i	0.367258	+	0.0838242i
$624$	−7.84969	+	17.3877i	−0.314239	+	0.696065i
$625$	11.3230	−	14.1986i	0.452922	−	0.567946i
$626$	−22.8410	+	8.15133i	−0.912911	+	0.325793i
$627$	−3.31738	+	4.15986i	−0.132483	+	0.166129i
$628$	−14.3119	+	30.6842i	−0.571107	+	1.22443i
$629$	−36.8026	+	29.3491i	−1.46742	+	1.17023i
$630$	−6.20179	+	10.0069i	−0.247085	+	0.398686i
$631$	5.52251	+	2.65950i	0.219848	+	0.105873i	0.540566	−	0.841302i	$-0.318210\pi$
$631$	5.52251	+	2.65950i	0.219848	+	0.105873i	−0.320719	+	0.947175i	$0.603924\pi$
$632$	−28.5052	+	29.5831i	−1.13388	+	1.17675i
$633$	−0.947797	−	4.15257i	−0.0376716	−	0.165050i
$634$	6.31394	−	6.39253i	0.250759	−	0.253880i
$635$	−68.4213	−	32.9499i	−2.71521	−	1.30758i
$636$	1.12928	−	1.45257i	0.0447787	−	0.0575981i
$637$			20.4011i			0.808320i
$638$	−13.2426	+	37.9074i	−0.524279	+	1.50077i
$639$	10.0775			0.398659
$640$	37.4736	+	21.3419i	1.48127	+	0.843612i
$641$	9.18491	−	19.0727i	0.362782	−	0.753325i	−0.637065	−	0.770810i	$-0.719852\pi$
$641$	9.18491	−	19.0727i	0.362782	−	0.753325i	0.999847	+	0.0174851i	$0.00556595\pi$
$642$	−5.28091	−	5.21599i	−0.208421	−	0.205859i
$643$	39.3145	−	8.97328i	1.55041	−	0.353872i	0.640265	−	0.768154i	$-0.278825\pi$
$643$	39.3145	−	8.97328i	1.55041	−	0.353872i	0.910148	+	0.414283i	$0.135968\pi$
$644$	−3.39959	−	6.84153i	−0.133963	−	0.269594i
$645$	−14.0960	+	29.2706i	−0.555028	+	1.15253i
$646$	3.25322	−	5.24927i	0.127996	−	0.206530i
$647$	−20.0000	−	25.0792i	−0.786281	−	0.985966i	−0.999959	−	0.00906136i	$-0.997116\pi$
$647$	−20.0000	−	25.0792i	−0.786281	−	0.985966i	0.213678	−	0.976904i	$-0.431456\pi$
$648$	0.463382	−	4.93380i	0.0182034	−	0.193818i
$649$	46.6018	+	37.1637i	1.82928	+	1.45880i
$650$	18.1410	+	50.8332i	0.711548	+	1.99384i
$651$	2.09494	+	1.67066i	0.0821070	+	0.0654781i
$652$	−16.2407	−	32.6837i	−0.636036	−	1.27999i
$653$	7.18196	−	31.4662i	0.281052	−	1.23137i	−0.615395	−	0.788219i	$-0.711004\pi$
$653$	7.18196	−	31.4662i	0.281052	−	1.23137i	0.896447	−	0.443150i	$-0.146139\pi$
$654$	−4.14552	−	1.42186i	−0.162103	−	0.0555992i
$655$			8.78432i			0.343232i
$656$	11.9008	−	9.98202i	0.464648	−	0.389733i
$657$	0.726653	+	1.50891i	0.0283494	+	0.0588682i
$658$	1.85434	−	2.99208i	0.0722896	−	0.116643i
$659$	−17.3201	−	21.7187i	−0.674695	−	0.846040i	0.320159	−	0.947364i	$-0.396264\pi$
$659$	−17.3201	−	21.7187i	−0.674695	−	0.846040i	−0.994854	+	0.101324i	$0.967692\pi$
$660$	11.2275	+	46.5301i	0.437030	+	1.81118i
$661$	11.1325	+	2.54093i	0.433006	+	0.0988307i	0.433468	−	0.901169i	$-0.357290\pi$
$661$	11.1325	+	2.54093i	0.433006	+	0.0988307i	−0.000461817		1.00000i	$0.500147\pi$
$662$	12.7072	+	19.9484i	0.493879	+	0.775318i
$663$	22.1432	−	10.6636i	0.859971	−	0.414140i
$664$	−11.2078	−	17.1234i	−0.434945	−	0.664516i
$665$	4.34774	−	0.992343i	0.168598	−	0.0384814i
$666$	−19.2465	+	6.86855i	−0.745787	+	0.266151i
$667$	13.3869	+	6.54061i	0.518344	+	0.253254i
$668$	19.0594	−	15.5889i	0.737431	−	0.603154i
$669$	6.56482	+	28.7624i	0.253811	+	1.11202i
$670$	−66.5550	−	7.08237i	−2.57124	−	0.273616i
$671$	4.51910	−	2.17628i	0.174458	−	0.0840145i
$672$	8.67941	−	3.34172i	0.334815	−	0.128910i
$673$	−7.16809	+	31.4054i	−0.276309	+	1.21059i	0.626111	+	0.779734i	$0.284646\pi$
$673$	−7.16809	+	31.4054i	−0.276309	+	1.21059i	−0.902420	+	0.430857i	$0.858211\pi$
$674$	0.344220	−	3.23473i	0.0132588	−	0.124597i
$675$	−32.4183	−	40.6512i	−1.24778	−	1.56467i
$676$	−5.94406	−	1.27955i	−0.228618	−	0.0492134i
$677$	−4.43468	+	2.13563i	−0.170439	+	0.0820789i	−0.517158	−	0.855890i	$-0.673010\pi$
$677$	−4.43468	+	2.13563i	−0.170439	+	0.0820789i	0.346719	+	0.937969i	$0.387296\pi$
$678$	15.9528	+	5.47160i	0.612662	+	0.210136i
$679$		−	21.7959i		−	0.836451i
$680$	−19.3190	−	52.0897i	−0.740851	−	1.99755i
$681$	−17.5410	−	4.00362i	−0.672172	−	0.153419i
$682$	−12.0672	+	1.43528i	−0.462075	+	0.0549596i
$683$	−10.3848	−	8.28158i	−0.397362	−	0.316886i	0.404341	−	0.914608i	$-0.367501\pi$
$683$	−10.3848	−	8.28158i	−0.397362	−	0.316886i	−0.801703	+	0.597723i	$0.796072\pi$
$684$	2.07526	−	1.69738i	0.0793494	−	0.0649009i
$685$	41.9475	−	52.6005i	1.60273	−	2.00976i
$686$	16.5935	−	16.8000i	0.633542	−	0.641427i
$687$	−2.01803	−	2.53053i	−0.0769926	−	0.0965457i
$688$	−25.4784	+	13.0558i	−0.971356	+	0.497748i
$689$	2.78753	+	1.34240i	0.106196	+	0.0511415i
$690$	17.6364	−	2.09769i	0.671408	−	0.0798578i
$691$	−36.7862	+	8.39621i	−1.39941	+	0.319407i	−0.854659	−	0.519189i	$-0.826234\pi$
$691$	−36.7862	+	8.39621i	−1.39941	+	0.319407i	−0.544754	+	0.838596i	$0.683377\pi$
$692$	13.0972	+	6.10886i	0.497880	+	0.232224i
$693$	−10.3746	−	4.99613i	−0.394097	−	0.189787i
$694$	16.8617	−	10.7409i	0.640060	−	0.407720i
$695$	21.4761			0.814636
$696$	−9.45162	+	15.4813i	−0.358263	+	0.586818i
$697$	−20.0107			−0.757958
$698$	−14.2401	+	9.07095i	−0.538994	+	0.343341i
$699$	18.6181	+	8.96601i	0.704201	+	0.339126i
$700$	11.1225	−	23.8463i	0.420391	−	0.901304i
$701$	−40.7149	+	9.29291i	−1.53778	+	0.350988i	−0.905702	−	0.423916i	$-0.860655\pi$
$701$	−40.7149	+	9.29291i	−1.53778	+	0.350988i	−0.632079	+	0.774904i	$0.717798\pi$
$702$	30.6880	−	3.65006i	1.15824	−	0.137762i
$703$	6.97429	+	3.35864i	0.263041	+	0.126674i
$704$	−16.8786	+	38.6554i	−0.636135	+	1.45688i
$705$	5.10240	+	6.39821i	0.192168	+	0.240970i
$706$	5.17607	−	5.24049i	0.194804	−	0.197229i
$707$	−0.417856	+	0.523975i	−0.0157151	+	0.0197061i
$708$	17.0469	+	20.8419i	0.640660	+	0.783287i
$709$	−9.13054	−	7.28136i	−0.342905	−	0.273457i	0.436861	−	0.899529i	$-0.356090\pi$
$709$	−9.13054	−	7.28136i	−0.342905	−	0.273457i	−0.779765	+	0.626072i	$0.784662\pi$
$710$	−34.1009	+	4.05599i	−1.27979	+	0.152219i
$711$	22.4000	+	5.11266i	0.840067	+	0.191740i
$712$	−18.0604	+	6.69825i	−0.676843	+	0.251027i
$713$			4.50914i			0.168869i
$714$	−11.3335	−	3.88726i	−0.424147	−	0.145477i
$715$	−72.5186	+	34.9231i	−2.71204	+	1.30605i
$716$	−4.63365	+	21.5253i	−0.173167	+	0.804437i
$717$	−6.15781	−	7.72164i	−0.229967	−	0.288370i
$718$	−0.541506	+	5.08868i	−0.0202088	+	0.189908i
$719$	−7.22617	+	31.6599i	−0.269491	+	1.18072i	0.641117	+	0.767443i	$0.278471\pi$
$719$	−7.22617	+	31.6599i	−0.269491	+	1.18072i	−0.910608	+	0.413272i	$0.864386\pi$
$720$	−0.596624	−	24.1114i	−0.0222349	−	0.898577i
$721$	−3.32204	+	1.59981i	−0.123719	+	0.0595800i
$722$	25.7093	+	2.73583i	0.956803	+	0.101817i
$723$	−6.28535	−	27.5379i	−0.233755	−	1.02415i
$724$	−32.0716	−	39.2116i	−1.19193	−	1.45729i
$725$	11.1351	+	50.0941i	0.413546	+	1.86045i
$726$	−26.6454	+	9.50901i	−0.988903	+	0.352912i
$727$	−1.18441	+	0.270334i	−0.0439274	+	0.0100261i	−0.244428	−	0.969667i	$-0.578600\pi$
$727$	−1.18441	+	0.270334i	−0.0439274	+	0.0100261i	0.200501	+	0.979694i	$0.435743\pi$
$728$	8.56497	+	13.0857i	0.317439	+	0.484988i
$729$	−20.0596	+	9.66021i	−0.742949	+	0.357786i
$730$	−3.06621	−	4.81350i	−0.113485	−	0.178155i
$731$	35.9571	+	8.20698i	1.32992	+	0.303546i
$732$	2.20256	−	0.531466i	0.0814088	−	0.0196435i
$733$	−1.83825	−	2.30509i	−0.0678973	−	0.0851405i	0.746723	−	0.665135i	$-0.231626\pi$
$733$	−1.83825	−	2.30509i	−0.0678973	−	0.0851405i	−0.814620	+	0.579995i	$0.803055\pi$
$734$	−24.1150	+	38.9110i	−0.890101	+	1.43623i
$735$	10.0323	+	20.8324i	0.370048	+	0.768413i
$736$	13.5032	+	7.91311i	0.497735	+	0.291681i
$737$		−	65.4640i		−	2.41140i
$738$	−8.21728	−	2.81843i	−0.302482	−	0.103748i
$739$	−7.19873	+	31.5397i	−0.264810	+	1.16021i	0.651154	+	0.758946i	$0.274285\pi$
$739$	−7.19873	+	31.5397i	−0.264810	+	1.16021i	−0.915964	+	0.401261i	$0.868572\pi$
$740$	62.3633	−	30.9886i	2.29252	−	1.13917i
$741$	−3.15987	−	2.51991i	−0.116081	−	0.0925712i
$742$	−0.506964	−	1.42058i	−0.0186112	−	0.0521510i
$743$	8.63235	+	6.88407i	0.316690	+	0.252552i	0.768914	−	0.639353i	$-0.220798\pi$
$743$	8.63235	+	6.88407i	0.316690	+	0.252552i	−0.452223	+	0.891905i	$0.649369\pi$
$744$	−5.46539	−	0.513309i	−0.200371	−	0.0188188i
$745$	−12.4181	−	15.5717i	−0.454962	−	0.570505i
$746$	7.71484	−	12.4484i	0.282461	−	0.455767i
$747$	−4.96611	+	10.3122i	−0.181701	+	0.377305i
$748$	48.6626	−	24.1807i	1.77928	−	0.884135i
$749$	−5.93238	+	1.35403i	−0.216764	+	0.0494750i
$750$	20.6861	+	20.4317i	0.755348	+	0.746062i
$751$	−16.7407	+	34.7624i	−0.610876	+	1.26850i	0.334463	+	0.942409i	$0.391445\pi$
$751$	−16.7407	+	34.7624i	−0.610876	+	1.26850i	−0.945339	+	0.326089i	$0.894269\pi$
$752$	0.178391	+	7.20930i	0.00650524	+	0.262896i
$753$	14.6125			0.532510
$754$	−28.7948	−	10.0592i	−1.04864	−	0.366333i
$755$			46.2949i			1.68485i
$756$	−11.8945	−	9.24722i	−0.432600	−	0.336318i
$757$	39.7085	+	19.1226i	1.44323	+	0.695022i	0.981405	−	0.191950i	$-0.0614810\pi$
$757$	39.7085	+	19.1226i	1.44323	+	0.695022i	0.461824	+	0.886972i	$0.347195\pi$
$758$	−17.3285	+	17.5442i	−0.629400	+	0.637234i
$759$	3.86553	+	16.9360i	0.140310	+	0.614738i
$760$	−6.33924	+	6.57896i	−0.229949	+	0.238644i
$761$	−16.6133	−	8.00052i	−0.602230	−	0.290019i	0.107820	−	0.994170i	$-0.465613\pi$
$761$	−16.6133	−	8.00052i	−0.602230	−	0.290019i	−0.710049	+	0.704152i	$0.751327\pi$
$762$	17.6752	−	28.5200i	0.640306	−	1.03317i
$763$	−2.80896	+	2.24007i	−0.101691	+	0.0810959i
$764$	31.9289	+	14.8924i	1.15515	+	0.538789i
$765$	−19.3729	+	24.2928i	−0.700428	+	0.878309i
$766$	20.0810	−	7.16636i	0.725556	−	0.258931i
$767$	−28.2299	+	35.3991i	−1.01932	+	1.27819i
$768$	−11.1284	+	15.4660i	−0.401562	+	0.558082i
$769$	−24.9191	−	5.68762i	−0.898606	−	0.205101i	−0.251821	−	0.967774i	$-0.581030\pi$
$769$	−24.9191	−	5.68762i	−0.898606	−	0.205101i	−0.646785	+	0.762673i	$0.723887\pi$
$770$	37.1171	+	12.7307i	1.33761	+	0.458783i
$771$	−10.8103			−0.389322
$772$	−17.2098	+	0.212892i	−0.619396	+	0.00766216i
$773$	8.69500	−	4.18729i	0.312737	−	0.150606i	−0.270930	−	0.962599i	$-0.587331\pi$
$773$	8.69500	−	4.18729i	0.312737	−	0.150606i	0.583668	+	0.811993i	$0.301617\pi$
$774$	13.6097	+	8.43457i	0.489190	+	0.303174i
$775$	−12.1423	+	9.68313i	−0.436163	+	0.347828i
$776$	24.4540	+	37.3611i	0.877847	+	1.34119i
$777$	3.34193	−	14.6420i	0.119891	−	0.525277i
$778$	−0.299911	−	0.470817i	−0.0107523	−	0.0168796i
$779$	1.42778	+	2.96481i	0.0511554	+	0.106225i
$780$	−35.3447	+	8.52850i	−1.26554	+	0.305369i
$781$	−7.47420	−	32.7466i	−0.267448	−	1.17177i
$782$	−6.77696	−	18.9899i	−0.242343	−	0.679076i
$783$	29.3827	+	0.166677i	1.05005	+	0.00595653i
$784$	−4.04121	+	19.9708i	−0.144329	+	0.713242i
$785$	−62.9106	+	14.3589i	−2.24537	+	0.512492i
$786$	−3.85934	−	0.410687i	−0.137658	−	0.0146487i
$787$	−22.1852	−	46.0680i	−0.790816	−	1.64215i	−0.766332	−	0.642445i	$-0.777920\pi$
$787$	−22.1852	−	46.0680i	−0.790816	−	1.64215i	−0.0244839	−	0.999700i	$-0.507794\pi$
$788$	15.7174	−	20.2171i	0.559911	−	0.720204i
$789$	−4.58747	−	1.04706i	−0.163318	−	0.0372764i
$790$	−77.8566	−	8.28502i	−2.77001	−	0.294768i
$791$	10.8094	−	8.62022i	0.384338	−	0.306500i
$792$	23.3888	−	3.07574i	0.831085	−	0.109292i
$793$	1.65312	+	3.43275i	0.0587041	+	0.121900i
$794$	30.3085	+	10.3954i	1.07561	+	0.368920i
$795$	3.50659			0.124366
$796$	−0.0658011	−	5.31925i	−0.00233226	−	0.188536i
$797$	−1.27294	+	5.57710i	−0.0450897	+	0.197551i	−0.992456	−	0.122600i	$-0.960877\pi$
$797$	−1.27294	+	5.57710i	−0.0450897	+	0.197551i	0.947366	+	0.320151i	$0.103734\pi$
$798$	0.232713	+	1.95655i	0.00823797	+	0.0692611i
$799$	5.79250	−	7.26356i	0.204924	−	0.256966i
$800$	7.68890	+	53.3546i	0.271844	+	1.88637i
$801$	8.42275	+	6.71692i	0.297603	+	0.237331i
$802$	28.3670	−	28.7201i	1.00167	−	1.01414i
$803$	4.36423	−	3.48036i	0.154010	−	0.122819i
$804$	6.22320	−	28.9094i	0.219475	−	1.01956i
$805$	6.31738	−	13.1182i	0.222658	−	0.462355i
$806$	−1.09025	−	9.16631i	−0.0384023	−	0.322869i
$807$	−5.90348	−	25.8648i	−0.207812	−	0.910485i
$808$	0.128386	−	1.36698i	0.00451661	−	0.0480901i
$809$	4.53787	−	9.42299i	0.159543	−	0.331295i	−0.805839	−	0.592135i	$-0.798285\pi$
$809$	4.53787	−	9.42299i	0.159543	−	0.331295i	0.965382	+	0.260840i	$0.0839996\pi$
$810$	7.96569	−	5.07416i	0.279886	−	0.178288i
$811$			15.6311i			0.548881i	0.961604	+	0.274440i	$0.0884926\pi$
$811$			15.6311i			0.548881i	−0.961604	+	0.274440i	$0.911507\pi$
$812$	6.54131	+	13.3537i	0.229555	+	0.468621i
$813$		−	13.6989i		−	0.480440i
$814$	36.5938	+	57.4469i	1.28261	+	2.01351i
$815$	30.1797	−	62.6689i	1.05715	−	2.19520i
$816$	23.7885	−	6.05239i	0.832764	−	0.211876i
$817$	−1.34961	−	5.91303i	−0.0472169	−	0.206871i
$818$	−20.4014	+	2.42656i	−0.713318	+	0.0848425i
$819$	3.79510	−	7.88061i	0.132612	−	0.275371i
$820$	28.9406	+	6.22990i	1.01065	+	0.217558i
$821$	38.6023	−	30.7843i	1.34723	−	1.07438i	0.357122	−	0.934058i	$-0.383758\pi$
$821$	38.6023	−	30.7843i	1.34723	−	1.07438i	0.990106	−	0.140321i	$-0.0448133\pi$
$822$	21.1486	+	20.8886i	0.737642	+	0.728573i
$823$	4.27663	+	3.41050i	0.149074	+	0.118882i	0.695187	−	0.718829i	$-0.255322\pi$
$823$	4.27663	+	3.41050i	0.149074	+	0.118882i	−0.546113	+	0.837712i	$0.683893\pi$
$824$	3.89951	−	6.46945i	0.135846	−	0.225374i
$825$	−37.3044	+	46.7783i	−1.29877	+	1.62861i
$826$	21.9187	−	2.60703i	0.762649	−	0.0907100i
$827$	12.3669	−	54.1831i	0.430041	−	1.88413i	−0.0359712	−	0.999353i	$-0.511452\pi$
$827$	12.3669	−	54.1831i	0.430041	−	1.88413i	0.466012	−	0.884778i	$-0.345690\pi$
$828$	−0.108273	−	8.75259i	−0.00376274	−	0.304174i
$829$	−12.4169			−0.431255			−0.215628	−	0.976476i	$-0.569180\pi$
$829$	−12.4169			−0.431255			−0.215628	+	0.976476i	$0.569180\pi$
$830$	12.6542	−	36.8941i	0.439234	−	1.28061i
$831$	1.89956	+	3.94448i	0.0658950	+	0.136832i
$832$	−29.3630	−	12.8211i	−1.01798	−	0.444492i
$833$	20.5226	−	16.3662i	0.711067	−	0.567057i
$834$	−1.00406	+	9.43541i	−0.0347677	+	0.326722i
$835$	45.7509	+	10.4423i	1.58328	+	0.361372i
$836$	−7.05476	−	5.48461i	−0.243994	−	0.189689i
$837$	3.85834	+	8.01192i	0.133364	+	0.276932i
$838$	−0.366551	+	3.44458i	−0.0126623	+	0.118991i
$839$	−47.4883	+	10.8389i	−1.63948	+	0.374200i	−0.940193	−	0.340642i	$-0.889356\pi$
$839$	−47.4883	+	10.8389i	−1.63948	+	0.374200i	−0.699286	+	0.714842i	$0.746498\pi$
$840$	15.1810	+	9.15044i	0.523794	+	0.315720i
$841$	−25.9837	−	12.8782i	−0.895989	−	0.444077i
$842$	40.1881	−	14.3420i	1.38497	−	0.494259i
$843$	−1.70209	−	7.45734i	−0.0586231	−	0.256844i
$844$	6.95391	−	1.67794i	0.239363	−	0.0577572i
$845$	−5.02788	−	10.4405i	−0.172964	−	0.359164i
$846$	3.40170	−	2.16689i	0.116953	−	0.0744992i
$847$	−5.16091	+	22.6114i	−0.177331	+	0.776937i
$848$	2.46282	+	1.86627i	0.0845736	+	0.0640878i
$849$	22.8232	−	18.2009i	0.783289	−	0.624652i
$850$	36.5829	−	59.0287i	1.25478	−	2.02467i
$851$	22.7705	−	10.9657i	0.780563	−	0.375899i
$852$	−0.187679	−	15.1717i	−0.00642979	−	0.519773i
$853$	−29.2945			−1.00302			−0.501512	−	0.865151i	$-0.667223\pi$
$853$	−29.2945			−1.00302			−0.501512	+	0.865151i	$0.667223\pi$
$854$	0.602622	−	1.75698i	0.0206213	−	0.0601225i
$855$	4.98152	+	1.13700i	0.170364	+	0.0388846i
$856$	8.64973	−	8.97682i	0.295642	−	0.306821i
$857$	−6.19341	+	7.76629i	−0.211563	+	0.265291i	−0.876278	−	0.481805i	$-0.839981\pi$
$857$	−6.19341	+	7.76629i	−0.211563	+	0.265291i	0.664716	+	0.747097i	$0.268553\pi$
$858$	−11.9529	−	33.4934i	−0.408064	−	1.14344i
$859$	−26.7966	+	33.6018i	−0.914287	+	1.14648i	0.0745113	+	0.997220i	$0.476260\pi$
$859$	−26.7966	+	33.6018i	−0.914287	+	1.14648i	−0.988798	+	0.149259i	$0.952311\pi$
$860$	−49.4482	−	23.0639i	−1.68617	−	0.786472i
$861$	4.99155	−	3.98063i	0.170112	−	0.135660i
$862$	−33.2241	−	20.5905i	−1.13162	−	0.701317i
$863$	−11.2896	−	5.43680i	−0.384304	−	0.185071i	0.231749	−	0.972776i	$-0.425555\pi$
$863$	−11.2896	−	5.43680i	−0.384304	−	0.185071i	−0.616053	+	0.787705i	$0.711269\pi$
$864$	30.7638	+	2.50586i	1.04660	+	0.0852510i
$865$	6.12893	+	26.8526i	0.208390	+	0.913016i
$866$	−6.98811	−	6.90220i	−0.237466	−	0.234546i
$867$	−10.2514	−	4.93679i	−0.348154	−	0.167662i
$868$	−2.76208	+	3.55282i	−0.0937512	+	0.120591i
$869$		−	76.5804i		−	2.59781i
$870$	−34.3501	+	3.88816i	−1.16458	+	0.131821i
$871$	49.7270			1.68494
$872$	2.30168	−	6.99129i	0.0779446	−	0.236755i
$873$	10.8355	−	22.5001i	0.366725	−	0.761511i
$874$	−2.33002	+	2.35902i	−0.0788141	+	0.0797951i
$875$	23.2379	−	5.30391i	0.785586	−	0.179305i
$876$	2.25813	−	1.12208i	0.0762953	−	0.0379115i
$877$	7.83977	−	16.2795i	0.264730	−	0.549718i	−0.725654	−	0.688059i	$-0.758463\pi$
$877$	7.83977	−	16.2795i	0.264730	−	0.549718i	0.990385	+	0.138341i	$0.0441771\pi$
$878$	−1.40636	−	0.871591i	−0.0474625	−	0.0294148i
$879$	11.9715	+	15.0118i	0.403790	+	0.506336i
$880$	−77.9069	+	19.8214i	−2.62624	+	0.668181i
$881$	−30.0941	−	23.9992i	−1.01389	−	0.808554i	−0.0322897	−	0.999479i	$-0.510280\pi$
$881$	−30.0941	−	23.9992i	−1.01389	−	0.808554i	−0.981605	+	0.190925i	$0.938851\pi$
$882$	10.7326	−	3.83018i	0.361386	−	0.128969i
$883$	7.80338	+	6.22299i	0.262605	+	0.209420i	0.745937	−	0.666017i	$-0.232002\pi$
$883$	7.80338	+	6.22299i	0.262605	+	0.209420i	−0.483332	+	0.875437i	$0.660574\pi$
$884$	18.3679	+	36.9646i	0.617779	+	1.24325i
$885$	−11.4189	+	50.0297i	−0.383844	+	1.68173i
$886$	6.86265	−	20.0084i	0.230555	−	0.672197i
$887$		−	22.6536i		−	0.760635i	−0.924856	−	0.380317i	$-0.875815\pi$
$887$		−	22.6536i		−	0.760635i	0.924856	−	0.380317i	$-0.124185\pi$
$888$	10.6991	+	28.8477i	0.359037	+	0.968067i
$889$	−11.9346	−	24.7824i	−0.400273	−	0.831175i
$890$	−31.2050	−	19.3392i	−1.04599	−	0.648252i
$891$	5.75953	+	7.22222i	0.192952	+	0.241954i
$892$	−48.1655	+	11.6221i	−1.61270	+	0.389137i
$893$	−1.48948	−	0.339963i	−0.0498434	−	0.0113764i
$894$	7.42193	−	4.72779i	0.248226	−	0.158121i
$895$	−37.8083	+	18.2075i	−1.26379	+	0.608610i
$896$	5.79220	+	14.5063i	0.193504	+	0.484621i
$897$	−12.8647	+	2.93629i	−0.429541	+	0.0980399i
$898$	−10.9174	−	30.5918i	−0.364317	−	1.02086i
$899$	0.0497852	−	8.77644i	0.00166043	−	0.292711i
$900$	23.3366	−	19.0873i	0.777885	−	0.636242i
$901$	−0.885824	−	3.88105i	−0.0295111	−	0.129296i
$902$	−3.06389	+	28.7922i	−0.102016	+	0.958676i
$903$	−10.6019	+	5.10560i	−0.352809	+	0.169904i
$904$	−8.85730	+	26.9038i	−0.294589	+	0.894808i
$905$	21.4834	−	94.1249i	0.714132	−	3.12882i
$906$	−20.3394	−	2.16439i	−0.675732	−	0.0719072i
$907$	33.2665	+	41.7148i	1.10459	+	1.38512i	0.915096	+	0.403237i	$0.132115\pi$
$907$	33.2665	+	41.7148i	1.10459	+	1.38512i	0.189499	+	0.981881i	$0.439314\pi$
$908$	6.35905	−	29.5405i	0.211033	−	0.980337i
$909$	−0.691840	+	0.333172i	−0.0229469	+	0.0110506i
$910$	−9.67035	+	28.1944i	−0.320569	+	0.934637i
$911$			27.2782i			0.903768i	0.892077	+	0.451884i	$0.149248\pi$
$911$			27.2782i			0.903768i	−0.892077	+	0.451884i	$0.850752\pi$
$912$	−2.59406	−	3.09269i	−0.0858978	−	0.102409i
$913$	37.1926	+	8.48898i	1.23090	+	0.280944i
$914$	−1.54384	−	12.9799i	−0.0510656	−	0.429336i
$915$	3.37614	+	2.69238i	0.111612	+	0.0890074i
$916$	4.20770	−	3.44153i	0.139026	−	0.113711i
$917$	−1.98376	+	2.48756i	−0.0655096	+	0.0821464i
$918$	−28.2905	−	27.9427i	−0.933725	−	0.922246i
$919$	−13.8289	−	17.3409i	−0.456173	−	0.572022i	0.499552	−	0.866284i	$-0.333498\pi$
$919$	−13.8289	−	17.3409i	−0.456173	−	0.572022i	−0.955725	+	0.294261i	$0.904926\pi$
$920$	3.88913	+	29.5741i	0.128221	+	0.975029i
$921$	9.81781	+	4.72801i	0.323508	+	0.155793i
$922$	−2.31875	−	19.4950i	−0.0763639	−	0.642033i
$923$	24.8746	−	5.67746i	0.818757	−	0.186876i
$924$	−7.32847	+	15.7120i	−0.241089	+	0.516886i
$925$	78.4269	+	37.7684i	2.57866	+	1.24182i
$926$	11.7171	+	18.3941i	0.385047	+	0.604468i
$927$	−4.22467			−0.138757
$928$	−26.1948	−	15.5509i	−0.859888	−	0.510483i
$929$	−25.6272			−0.840802			−0.420401	−	0.907338i	$-0.638111\pi$
$929$	−25.6272			−0.840802			−0.420401	+	0.907338i	$0.638111\pi$
$930$	−5.62087	−	8.82395i	−0.184316	−	0.289349i
$931$	−3.88915	−	1.87291i	−0.127462	−	0.0613823i
$932$	−14.6702	+	31.4525i	−0.480540	+	1.03026i
$933$	4.72302	−	1.07800i	0.154625	−	0.0352921i
$934$	−4.56285	−	38.3624i	−0.149301	−	1.25525i
$935$	93.3074	+	44.9345i	3.05148	+	1.46951i
$936$	2.33636	+	17.7663i	0.0763662	+	0.580711i
$937$	21.3996	+	26.8342i	0.699093	+	0.876635i	0.996955	−	0.0779738i	$-0.0248450\pi$
$937$	21.3996	+	26.8342i	0.699093	+	0.876635i	−0.297862	+	0.954609i	$0.596274\pi$
$938$	−17.2477	−	17.0357i	−0.563159	−	0.556236i
$939$	12.7326	−	15.9662i	0.415514	−	0.521038i
$940$	−10.6388	+	8.70160i	−0.346999	+	0.283815i
$941$	−23.2441	−	18.5365i	−0.757736	−	0.604274i	0.166525	−	0.986037i	$-0.446746\pi$
$941$	−23.2441	−	18.5365i	−0.757736	−	0.604274i	−0.924260	+	0.381763i	$0.875317\pi$
$942$	−3.36730	−	28.3107i	−0.109712	−	0.922413i
$943$	10.4745	+	2.39073i	0.341095	+	0.0778527i
$944$	−34.6466	+	29.0605i	−1.12765	+	0.945839i
$945$		−	28.7142i		−	0.934073i
$946$	17.3141	−	50.4801i	0.562928	−	1.64125i
$947$	−25.3455	+	12.2057i	−0.823617	+	0.396633i	−0.797717	−	0.603032i	$-0.793959\pi$
$947$	−25.3455	+	12.2057i	−0.823617	+	0.396633i	−0.0258995	+	0.999665i	$0.508245\pi$
$948$	7.27995	−	33.8185i	0.236442	−	1.09837i
$949$	2.64371	+	3.31511i	0.0858185	+	0.107613i
$950$	−11.3560	−	1.20843i	−0.368437	−	0.0392068i
$951$	−1.68357	+	7.37620i	−0.0545935	+	0.239190i
$952$	6.29261	−	19.1137i	0.203945	−	0.619477i
$953$	45.7306	−	22.0227i	1.48136	−	0.713385i	0.493646	−	0.869663i	$-0.335664\pi$
$953$	45.7306	−	22.0227i	1.48136	−	0.713385i	0.987713	+	0.156278i	$0.0499495\pi$
$954$	0.182872	−	1.71850i	0.00592069	−	0.0556384i
$955$	14.9414	+	65.4624i	0.483491	+	2.11831i
$956$	12.8394	−	10.5015i	0.415255	−	0.339642i
$957$	−7.33675	−	33.0063i	−0.237163	−	1.06694i
$958$	−16.5220	−	46.2967i	−0.533802	−	1.49578i
$959$	23.7575	−	5.42250i	0.767171	−	0.175102i
$960$	−36.2886	+	1.34726i	−1.17121	+	0.0434826i
$961$	−25.5369	+	12.2979i	−0.823772	+	0.396708i
$962$	−43.6372	+	27.7970i	−1.40692	+	0.896211i
$963$	−6.79715	−	1.55141i	−0.219035	−	0.0499934i
$964$	46.1151	−	11.1273i	1.48527	−	0.358388i
$965$	−20.4518	−	25.6458i	−0.658367	−	0.825566i
$966$	5.46804	+	3.38881i	0.175931	+	0.109033i
$967$	9.46131	+	19.6466i	0.304255	+	0.631793i	0.995902	−	0.0904437i	$-0.0288285\pi$
$967$	9.46131	+	19.6466i	0.304255	+	0.631793i	−0.691646	+	0.722236i	$0.743114\pi$
$968$	−16.5224	−	44.5492i	−0.531051	−	1.43187i
$969$			5.20023i			0.167055i
$970$	−27.6100	+	80.4984i	−0.886503	+	2.58465i
$971$	−3.12065	+	13.6725i	−0.100147	+	0.438771i	0.899850	+	0.436199i	$0.143676\pi$
$971$	−3.12065	+	13.6725i	−0.100147	+	0.438771i	−0.999997	+	0.00257160i	$0.999181\pi$
$972$	−12.7113	−	25.5810i	−0.407716	−	0.820512i
$973$	6.08165	+	4.84995i	0.194969	+	0.155482i
$974$	−47.4512	+	16.9340i	−1.52043	+	0.542601i
$975$	−35.5332	−	28.3368i	−1.13797	−	0.907502i
$976$	0.938270	+	3.68781i	0.0300333	+	0.118044i
$977$	35.5610	+	44.5921i	1.13770	+	1.42663i	0.888917	+	0.458069i	$0.151459\pi$
$977$	35.5610	+	44.5921i	1.13770	+	1.42663i	0.248781	+	0.968560i	$0.419970\pi$
$978$	26.1222	+	16.1892i	0.835297	+	0.517674i
$979$	15.5796	−	32.3513i	0.497925	−	1.03395i
$980$	−34.7763	+	17.2805i	−1.11089	+	0.552006i
$981$	−4.01331	+	0.916012i	−0.128135	+	0.0292460i
$982$	23.8007	−	24.0969i	0.759511	−	0.768964i
$983$	−8.88698	+	18.4540i	−0.283451	+	0.588592i	−0.993274	−	0.115788i	$-0.963061\pi$
$983$	−8.88698	+	18.4540i	−0.283451	+	0.588592i	0.709823	+	0.704380i	$0.248775\pi$
$984$	−4.09011	+	12.4236i	−0.130388	+	0.396050i
$985$	48.8053			1.55507
$986$	12.9808	+	37.0360i	0.413392	+	1.17947i
$987$			2.96413i			0.0943493i
$988$	4.16615	−	5.35885i	0.132543	−	0.170488i
$989$	−17.8410	−	8.59178i	−0.567311	−	0.273203i
$990$	31.9873	+	31.5941i	1.01662	+	1.00413i
$991$	3.74994	+	16.4296i	0.119121	+	0.521903i	0.998916	+	0.0465495i	$0.0148225\pi$
$991$	3.74994	+	16.4296i	0.119121	+	0.521903i	−0.879795	+	0.475353i	$0.842320\pi$
$992$	0.748483	−	9.18894i	0.0237644	−	0.291749i
$993$	−17.9439	−	8.64135i	−0.569434	−	0.274225i
$994$	−10.5727	−	6.55243i	−0.335347	−	0.207830i
$995$	7.92664	−	6.32128i	0.251291	−	0.200398i
$996$	15.6176	+	7.28444i	0.494862	+	0.230816i
$997$	5.32926	−	6.68268i	0.168779	−	0.211643i	−0.690247	−	0.723574i	$-0.742498\pi$
$997$	5.32926	−	6.68268i	0.168779	−	0.211643i	0.859027	+	0.511931i	$0.171070\pi$
$998$	−19.9754	−	55.9736i	−0.632311	−	1.77181i
$999$	31.0760	−	38.9681i	0.983201	−	1.23290i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	232.2.o.a.109.10	✓	168
4.3	odd	2		928.2.be.a.689.9		168
8.3	odd	2		928.2.be.a.689.20		168
8.5	even	2	inner	232.2.o.a.109.13	yes	168
29.4	even	14	inner	232.2.o.a.149.13	yes	168
116.91	odd	14		928.2.be.a.497.20		168
232.91	odd	14		928.2.be.a.497.9		168
232.149	even	14	inner	232.2.o.a.149.10	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
232.2.o.a.109.10	✓	168	1.1	even	1	trivial
232.2.o.a.109.13	yes	168	8.5	even	2	inner
232.2.o.a.149.10	yes	168	232.149	even	14	inner
232.2.o.a.149.13	yes	168	29.4	even	14	inner
928.2.be.a.497.9		168	232.91	odd	14
928.2.be.a.497.20		168	116.91	odd	14
928.2.be.a.689.9		168	4.3	odd	2
928.2.be.a.689.20		168	8.3	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)

\(f(q)\)	\(=\)	\(q+(-0.759799 - 1.19277i) q^{2} +(1.07292 + 0.516690i) q^{3} +(-0.845412 + 1.81253i) q^{4} +(-3.71616 + 0.848189i) q^{5} +(-0.198908 - 1.67233i) q^{6} +(-1.24390 - 0.599028i) q^{7} +(2.80428 - 0.368776i) q^{8} +(-0.986284 - 1.23676i) q^{9} +O(q^{10})\)	\(q+(-0.759799 - 1.19277i) q^{2} +(1.07292 + 0.516690i) q^{3} +(-0.845412 + 1.81253i) q^{4} +(-3.71616 + 0.848189i) q^{5} +(-0.198908 - 1.67233i) q^{6} +(-1.24390 - 0.599028i) q^{7} +(2.80428 - 0.368776i) q^{8} +(-0.986284 - 1.23676i) q^{9} +(3.83523 + 3.78808i) q^{10} +(-3.28733 + 4.12218i) q^{11} +(-1.84358 + 1.50789i) q^{12} +(-3.13124 - 2.49708i) q^{13} +(0.230605 + 1.93883i) q^{14} +(-4.42539 - 1.01007i) q^{15} +(-2.57056 - 3.06468i) q^{16} +5.15312i q^{17} +(-0.725797 + 2.11610i) q^{18} +(0.763493 - 0.367679i) q^{19} +(1.60432 - 7.45274i) q^{20} +(-1.02509 - 1.28542i) q^{21} +(7.41453 + 0.789009i) q^{22} +(0.615656 - 2.69737i) q^{23} +(3.19931 + 1.05328i) q^{24} +(8.58558 - 4.13460i) q^{25} +(-0.599338 + 5.63214i) q^{26} +(-1.21415 - 5.31953i) q^{27} +(2.13736 - 1.74818i) q^{28} +(-1.22807 + 5.24327i) q^{29} +(2.15763 + 6.04593i) q^{30} +(-1.58891 + 0.362658i) q^{31} +(-1.70236 + 5.39463i) q^{32} +(-5.65693 + 2.72423i) q^{33} +(6.14650 - 3.91533i) q^{34} +(5.13060 + 1.17103i) q^{35} +(3.07549 - 0.742100i) q^{36} +(5.69541 + 7.14181i) q^{37} +(-1.01866 - 0.631311i) q^{38} +(-2.06935 - 4.29705i) q^{39} +(-10.1084 + 3.74900i) q^{40} +3.88322i q^{41} +(-0.754352 + 2.19935i) q^{42} +(1.59262 - 6.97774i) q^{43} +(-4.69244 - 9.44334i) q^{44} +(4.71420 + 3.75945i) q^{45} +(-3.68512 + 1.31512i) q^{46} +(-1.40955 - 1.12408i) q^{47} +(-1.17451 - 4.61633i) q^{48} +(-3.17599 - 3.98256i) q^{49} +(-11.4549 - 7.09918i) q^{50} +(-2.66257 + 5.52888i) q^{51} +(7.17324 - 3.56442i) q^{52} +(-0.753145 + 0.171900i) q^{53} +(-5.42248 + 5.48997i) q^{54} +(8.71985 - 18.1070i) q^{55} +(-3.70914 - 1.22113i) q^{56} +1.00914 q^{57} +(7.18711 - 2.51901i) q^{58} -11.3051i q^{59} +(5.57206 - 7.16725i) q^{60} +(-0.857113 - 0.412764i) q^{61} +(1.63982 + 1.61966i) q^{62} +(0.485979 + 2.12921i) q^{63} +(7.72801 - 2.06831i) q^{64} +(13.7542 + 6.62368i) q^{65} +(7.54752 + 4.67756i) q^{66} +(-9.70738 + 7.74138i) q^{67} +(-9.34020 - 4.35651i) q^{68} +(2.05425 - 2.57595i) q^{69} +(-2.50146 - 7.00939i) q^{70} +(-3.97200 + 4.98073i) q^{71} +(-3.22191 - 3.10451i) q^{72} +(-1.03218 - 0.235587i) q^{73} +(4.19120 - 12.2197i) q^{74} +11.3479 q^{75} +(0.0209640 + 1.69470i) q^{76} +(6.55840 - 3.15836i) q^{77} +(-3.55311 + 5.73316i) q^{78} +(-11.3558 + 9.05593i) q^{79} +(12.1520 + 9.20851i) q^{80} +(0.389865 - 1.70811i) q^{81} +(4.63179 - 2.95046i) q^{82} +(-3.13938 - 6.51899i) q^{83} +(3.19648 - 0.771296i) q^{84} +(-4.37082 - 19.1498i) q^{85} +(-9.53293 + 3.40204i) q^{86} +(-4.02677 + 4.99106i) q^{87} +(-7.69844 + 12.7721i) q^{88} +(-6.63958 + 1.51544i) q^{89} +(0.902324 - 8.47939i) q^{90} +(2.39912 + 4.98181i) q^{91} +(4.36858 + 3.39628i) q^{92} +(-1.89215 - 0.431871i) q^{93} +(-0.269795 + 2.53534i) q^{94} +(-2.52540 + 2.01394i) q^{95} +(-4.61384 + 4.90840i) q^{96} +(6.84975 + 14.2237i) q^{97} +(-2.33718 + 6.81418i) q^{98} +8.34039 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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