LMFDB - Embedded newform 232.2.o.a.109.1

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			109.1
Character	$\chi$	$=$	232.109
Dual form			232.2.o.a.149.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.41370 - 0.0380459i) q^{2} +(-0.984395 - 0.474060i) q^{3} +(1.99711 + 0.107571i) q^{4} +(-1.69500 + 0.386874i) q^{5} +(1.37360 + 0.707631i) q^{6} +(1.46510 + 0.705554i) q^{7} +(-2.81922 - 0.228055i) q^{8} +(-1.12617 - 1.41217i) q^{9} +O(q^{10})$	\(q+(-1.41370 - 0.0380459i) q^{2} +(-0.984395 - 0.474060i) q^{3} +(1.99711 + 0.107571i) q^{4} +(-1.69500 + 0.386874i) q^{5} +(1.37360 + 0.707631i) q^{6} +(1.46510 + 0.705554i) q^{7} +(-2.81922 - 0.228055i) q^{8} +(-1.12617 - 1.41217i) q^{9} +(2.41095 - 0.482436i) q^{10} +(-2.32847 + 2.91981i) q^{11} +(-1.91495 - 1.05264i) q^{12} +(1.12900 + 0.900350i) q^{13} +(-2.04437 - 1.05318i) q^{14} +(1.85196 + 0.422697i) q^{15} +(3.97686 + 0.429662i) q^{16} +3.67940i q^{17} +(1.53834 + 2.03923i) q^{18} +(-5.27158 + 2.53866i) q^{19} +(-3.42672 + 0.590294i) q^{20} +(-1.10776 - 1.38909i) q^{21} +(3.40285 - 4.03915i) q^{22} +(-2.03607 + 8.92061i) q^{23} +(2.66711 + 1.56097i) q^{24} +(-1.78147 + 0.857913i) q^{25} +(-1.56182 - 1.31578i) q^{26} +(1.16852 + 5.11961i) q^{27} +(2.85006 + 1.56667i) q^{28} +(1.36695 - 5.20878i) q^{29} +(-2.60203 - 0.668027i) q^{30} +(1.38393 - 0.315874i) q^{31} +(-5.60574 - 0.758717i) q^{32} +(3.67629 - 1.77041i) q^{33} +(0.139986 - 5.20158i) q^{34} +(-2.75631 - 0.629110i) q^{35} +(-2.09717 - 2.94140i) q^{36} +(-1.32169 - 1.65735i) q^{37} +(7.54902 - 3.38834i) q^{38} +(-0.684565 - 1.42151i) q^{39} +(4.86682 - 0.704127i) q^{40} -2.26737i q^{41} +(1.51319 + 2.00590i) q^{42} +(-1.66778 + 7.30701i) q^{43} +(-4.96428 + 5.58068i) q^{44} +(2.45519 + 1.95795i) q^{45} +(3.21779 - 12.5336i) q^{46} +(-4.19854 - 3.34822i) q^{47} +(-3.71111 - 2.30822i) q^{48} +(-2.71572 - 3.40541i) q^{49} +(2.55111 - 1.14505i) q^{50} +(1.74426 - 3.62198i) q^{51} +(2.15789 + 1.91954i) q^{52} +(11.9828 - 2.73499i) q^{53} +(-1.45716 - 7.28206i) q^{54} +(2.81717 - 5.84991i) q^{55} +(-3.96953 - 2.32324i) q^{56} +6.39279 q^{57} +(-2.13064 + 7.31166i) q^{58} -7.21624i q^{59} +(3.65308 + 1.04339i) q^{60} +(3.22334 + 1.55228i) q^{61} +(-1.96849 + 0.393899i) q^{62} +(-0.653585 - 2.86354i) q^{63} +(7.89598 + 1.28588i) q^{64} +(-2.26199 - 1.08932i) q^{65} +(-5.26454 + 2.36296i) q^{66} +(1.67286 - 1.33406i) q^{67} +(-0.395798 + 7.34815i) q^{68} +(6.23320 - 7.81618i) q^{69} +(3.87267 + 0.994240i) q^{70} +(3.00931 - 3.77355i) q^{71} +(2.85286 + 4.23804i) q^{72} +(-9.82515 - 2.24253i) q^{73} +(1.80543 + 2.39329i) q^{74} +2.16038 q^{75} +(-10.8010 + 4.50290i) q^{76} +(-5.47152 + 2.63494i) q^{77} +(0.913688 + 2.03564i) q^{78} +(1.56786 - 1.25033i) q^{79} +(-6.90702 + 0.810263i) q^{80} +(0.0709438 - 0.310825i) q^{81} +(-0.0862643 + 3.20539i) q^{82} +(0.585526 + 1.21586i) q^{83} +(-2.06289 - 2.89332i) q^{84} +(-1.42346 - 6.23660i) q^{85} +(2.63574 - 10.2665i) q^{86} +(-3.81490 + 4.47949i) q^{87} +(7.23034 - 7.70055i) q^{88} +(-10.5797 + 2.41476i) q^{89} +(-3.39642 - 2.86137i) q^{90} +(1.01885 + 2.11567i) q^{91} +(-5.02585 + 17.5964i) q^{92} +(-1.51208 - 0.345123i) q^{93} +(5.80810 + 4.89313i) q^{94} +(7.95321 - 6.34247i) q^{95} +(5.15859 + 3.40433i) q^{96} +(4.46381 + 9.26920i) q^{97} +(3.70966 + 4.91755i) q^{98} +6.74551 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 $

$2$	−1.41370	−	0.0380459i	−0.999638	−	0.0269025i
$2$	−1.41370	−	0.0380459i	−0.999638	−	0.0269025i
$3$	−0.984395	−	0.474060i	−0.568341	−	0.273698i	0.127567	−	0.991830i	$-0.459283\pi$
$3$	−0.984395	−	0.474060i	−0.568341	−	0.273698i	−0.695907	+	0.718132i	$0.744998\pi$
$4$	1.99711	+	0.107571i	0.998553	+	0.0537856i
$5$	−1.69500	+	0.386874i	−0.758029	+	0.173015i	−0.584032	−	0.811731i	$-0.698526\pi$
$5$	−1.69500	+	0.386874i	−0.758029	+	0.173015i	−0.173998	+	0.984746i	$0.555668\pi$
$6$	1.37360	+	0.707631i	0.560772	+	0.288889i
$7$	1.46510	+	0.705554i	0.553755	+	0.266675i	0.689765	−	0.724033i	$-0.257714\pi$
$7$	1.46510	+	0.705554i	0.553755	+	0.266675i	−0.136010	+	0.990707i	$0.543428\pi$
$8$	−2.81922	−	0.228055i	−0.996744	−	0.0806297i
$9$	−1.12617	−	1.41217i	−0.375389	−	0.470723i
$10$	2.41095	−	0.482436i	0.762409	−	0.152560i
$11$	−2.32847	+	2.91981i	−0.702059	+	0.880355i	−0.997175	−	0.0751067i	$-0.976070\pi$
$11$	−2.32847	+	2.91981i	−0.702059	+	0.880355i	0.295116	+	0.955461i	$0.404642\pi$
$12$	−1.91495	−	1.05264i	−0.552797	−	0.303871i
$13$	1.12900	+	0.900350i	0.313129	+	0.249712i	0.767425	−	0.641139i	$-0.221538\pi$
$13$	1.12900	+	0.900350i	0.313129	+	0.249712i	−0.454296	+	0.890851i	$0.650109\pi$
$14$	−2.04437	−	1.05318i	−0.546381	−	0.281475i
$15$	1.85196	+	0.422697i	0.478173	+	0.109140i
$16$	3.97686	+	0.429662i	0.994214	+	0.107415i
$17$			3.67940i			0.892386i	0.894937	+	0.446193i	$0.147220\pi$
$17$			3.67940i			0.892386i	−0.894937	+	0.446193i	$0.852780\pi$
$18$	1.53834	+	2.03923i	0.362590	+	0.480652i
$19$	−5.27158	+	2.53866i	−1.20938	+	0.582408i	−0.926336	−	0.376698i	$-0.877059\pi$
$19$	−5.27158	+	2.53866i	−1.20938	+	0.582408i	−0.283047	+	0.959106i	$0.591345\pi$
$20$	−3.42672	+	0.590294i	−0.766238	+	0.131994i
$21$	−1.10776	−	1.38909i	−0.241733	−	0.303124i
$22$	3.40285	−	4.03915i	0.725489	−	0.861149i
$23$	−2.03607	+	8.92061i	−0.424550	+	1.86008i	0.0801534	+	0.996783i	$0.474459\pi$
$23$	−2.03607	+	8.92061i	−0.424550	+	1.86008i	−0.504703	+	0.863293i	$0.668398\pi$
$24$	2.66711	+	1.56097i	0.544422	+	0.318633i
$25$	−1.78147	+	0.857913i	−0.356295	+	0.171583i
$26$	−1.56182	−	1.31578i	−0.306298	−	0.258046i
$27$	1.16852	+	5.11961i	0.224881	+	0.985270i
$28$	2.85006	+	1.56667i	0.538611	+	0.296073i
$29$	1.36695	−	5.20878i	0.253837	−	0.967247i
$29$	1.36695	−	5.20878i	0.253837	−	0.967247i
$30$	−2.60203	−	0.668027i	−0.475064	−	0.121964i
$31$	1.38393	−	0.315874i	0.248562	−	0.0567327i	−0.0964245	−	0.995340i	$-0.530741\pi$
$31$	1.38393	−	0.315874i	0.248562	−	0.0567327i	0.344987	+	0.938608i	$0.387883\pi$
$32$	−5.60574	−	0.758717i	−0.990965	−	0.134123i
$33$	3.67629	−	1.77041i	0.639961	−	0.308189i
$34$	0.139986	−	5.20158i	0.0240074	−	0.892063i
$35$	−2.75631	−	0.629110i	−0.465901	−	0.106339i
$36$	−2.09717	−	2.94140i	−0.349528	−	0.490233i
$37$	−1.32169	−	1.65735i	−0.217285	−	0.272467i	0.661228	−	0.750185i	$-0.270036\pi$
$37$	−1.32169	−	1.65735i	−0.217285	−	0.272467i	−0.878513	+	0.477718i	$0.841464\pi$
$38$	7.54902	−	3.38834i	1.22461	−	0.549662i
$39$	−0.684565	−	1.42151i	−0.109618	−	0.227624i
$40$	4.86682	−	0.704127i	0.769511	−	0.111332i
$41$		−	2.26737i		−	0.354104i	−0.984201	−	0.177052i	$-0.943344\pi$
$41$		−	2.26737i		−	0.354104i	0.984201	−	0.177052i	$-0.0566561\pi$
$42$	1.51319	+	2.00590i	0.233491	+	0.309518i
$43$	−1.66778	+	7.30701i	−0.254334	+	1.11431i	0.672873	+	0.739758i	$0.265060\pi$
$43$	−1.66778	+	7.30701i	−0.254334	+	1.11431i	−0.927207	+	0.374550i	$0.877797\pi$
$44$	−4.96428	+	5.58068i	−0.748394	+	0.841320i
$45$	2.45519	+	1.95795i	0.365998	+	0.291874i
$46$	3.21779	−	12.5336i	0.474437	−	1.84798i
$47$	−4.19854	−	3.34822i	−0.612420	−	0.488389i	0.267470	−	0.963566i	$-0.413812\pi$
$47$	−4.19854	−	3.34822i	−0.612420	−	0.488389i	−0.879890	+	0.475178i	$0.842384\pi$
$48$	−3.71111	−	2.30822i	−0.535653	−	0.333164i
$49$	−2.71572	−	3.40541i	−0.387960	−	0.486487i
$50$	2.55111	−	1.14505i	0.360782	−	0.161935i
$51$	1.74426	−	3.62198i	0.244245	−	0.507179i
$52$	2.15789	+	1.91954i	0.299245	+	0.266192i
$53$	11.9828	−	2.73499i	1.64596	−	0.375680i	0.703685	−	0.710513i	$-0.251537\pi$
$53$	11.9828	−	2.73499i	1.64596	−	0.375680i	0.942278	+	0.334832i	$0.108680\pi$
$54$	−1.45716	−	7.28206i	−0.198294	−	0.990963i
$55$	2.81717	−	5.84991i	0.379867	−	0.788802i
$56$	−3.96953	−	2.32324i	−0.530450	−	0.310455i
$57$	6.39279			0.846746
$58$	−2.13064	+	7.31166i	−0.279766	+	0.960068i
$59$		−	7.21624i		−	0.939474i	−0.882806	−	0.469737i	$-0.844349\pi$
$59$		−	7.21624i		−	0.939474i	0.882806	−	0.469737i	$-0.155651\pi$
$60$	3.65308	+	1.04339i	0.471611	+	0.134701i
$61$	3.22334	+	1.55228i	0.412706	+	0.198749i	0.628704	−	0.777645i	$-0.283586\pi$
$61$	3.22334	+	1.55228i	0.412706	+	0.198749i	−0.215997	+	0.976394i	$0.569300\pi$
$62$	−1.96849	+	0.393899i	−0.249998	+	0.0500252i
$63$	−0.653585	−	2.86354i	−0.0823439	−	0.360772i
$64$	7.89598	+	1.28588i	0.986998	+	0.160734i
$65$	−2.26199	−	1.08932i	−0.280565	−	0.135113i
$66$	−5.26454	+	2.36296i	−0.648020	+	0.290861i
$67$	1.67286	−	1.33406i	0.204373	−	0.162982i	−0.515955	−	0.856616i	$-0.672563\pi$
$67$	1.67286	−	1.33406i	0.204373	−	0.162982i	0.720328	+	0.693634i	$0.243991\pi$
$68$	−0.395798	+	7.34815i	−0.0479975	+	0.891094i
$69$	6.23320	−	7.81618i	0.750389	−	0.940958i
$70$	3.87267	+	0.994240i	0.462872	+	0.118834i
$71$	3.00931	−	3.77355i	0.357139	−	0.447838i	−0.570510	−	0.821290i	$-0.693255\pi$
$71$	3.00931	−	3.77355i	0.357139	−	0.447838i	0.927649	+	0.373452i	$0.121826\pi$
$72$	2.85286	+	4.23804i	0.336213	+	0.499458i
$73$	−9.82515	−	2.24253i	−1.14995	−	0.262468i	−0.395270	−	0.918565i	$-0.629349\pi$
$73$	−9.82515	−	2.24253i	−1.14995	−	0.262468i	−0.754676	+	0.656097i	$0.772206\pi$
$74$	1.80543	+	2.39329i	0.209876	+	0.278214i
$75$	2.16038			0.249459
$76$	−10.8010	+	4.50290i	−1.23896	+	0.516518i
$77$	−5.47152	+	2.63494i	−0.623537	+	0.300280i
$78$	0.913688	+	2.03564i	0.103455	+	0.230491i
$79$	1.56786	−	1.25033i	0.176398	−	0.140673i	−0.531311	−	0.847177i	$-0.678300\pi$
$79$	1.56786	−	1.25033i	0.176398	−	0.140673i	0.707709	+	0.706504i	$0.249729\pi$
$80$	−6.90702	+	0.810263i	−0.772228	+	0.0905901i
$81$	0.0709438	−	0.310825i	0.00788265	−	0.0345361i
$82$	−0.0862643	+	3.20539i	−0.00952630	+	0.353976i
$83$	0.585526	+	1.21586i	0.0642698	+	0.133458i	0.930629	−	0.365963i	$-0.119260\pi$
$83$	0.585526	+	1.21586i	0.0642698	+	0.133458i	−0.866359	+	0.499421i	$0.833546\pi$
$84$	−2.06289	−	2.89332i	−0.225080	−	0.315687i
$85$	−1.42346	−	6.23660i	−0.154396	−	0.676455i
$86$	2.63574	−	10.2665i	0.284219	−	1.10706i
$87$	−3.81490	+	4.47949i	−0.409000	+	0.480251i
$88$	7.23034	−	7.70055i	0.770756	−	0.820881i
$89$	−10.5797	+	2.41476i	−1.12145	+	0.255964i	−0.742759	−	0.669559i	$-0.766483\pi$
$89$	−10.5797	+	2.41476i	−1.12145	+	0.255964i	−0.378691	+	0.925523i	$0.623626\pi$
$90$	−3.39642	−	2.86137i	−0.358014	−	0.301615i
$91$	1.01885	+	2.11567i	0.106805	+	0.221783i
$92$	−5.02585	+	17.5964i	−0.523981	+	1.83455i
$93$	−1.51208	−	0.345123i	−0.156796	−	0.0357876i
$94$	5.80810	+	4.89313i	0.599060	+	0.504688i
$95$	7.95321	−	6.34247i	0.815982	−	0.650724i
$96$	5.15859	+	3.40433i	0.526496	+	0.347453i
$97$	4.46381	+	9.26920i	0.453231	+	0.941144i	0.994930	+	0.100572i	$0.0320671\pi$
$97$	4.46381	+	9.26920i	0.453231	+	0.941144i	−0.541699	+	0.840573i	$0.682219\pi$
$98$	3.70966	+	4.91755i	0.374732	+	0.496748i
$99$	6.74551			0.677949
$100$	−3.65008	+	1.52171i	−0.365008	+	0.152171i
$101$	−2.80939	+	12.3087i	−0.279545	+	1.22476i	0.618827	+	0.785528i	$0.287608\pi$
$101$	−2.80939	+	12.3087i	−0.279545	+	1.22476i	−0.898371	+	0.439237i	$0.855249\pi$
$102$	−2.60366	+	5.05404i	−0.257801	+	0.500425i
$103$	−2.61323	+	3.27688i	−0.257489	+	0.322881i	−0.893726	−	0.448612i	$-0.851918\pi$
$103$	−2.61323	+	3.27688i	−0.257489	+	0.322881i	0.636237	+	0.771493i	$0.280490\pi$
$104$	−2.97758	−	2.79576i	−0.291975	−	0.274147i
$105$	2.41506	+	1.92595i	0.235686	+	0.187953i
$106$	−17.0441	+	3.41057i	−1.65547	+	0.331264i
$107$	−13.2140	+	10.5379i	−1.27745	+	1.01873i	−0.279162	+	0.960244i	$0.590057\pi$
$107$	−13.2140	+	10.5379i	−1.27745	+	1.01873i	−0.998288	+	0.0584888i	$0.981372\pi$
$108$	1.78293	+	10.3501i	0.171563	+	0.995939i
$109$	0.326776	−	0.678557i	0.0312995	−	0.0649940i	−0.884733	−	0.466098i	$-0.845659\pi$
$109$	0.326776	−	0.678557i	0.0312995	−	0.0649940i	0.916032	+	0.401104i	$0.131374\pi$
$110$	−4.20520	+	8.16284i	−0.400950	+	0.778297i
$111$	0.515385	+	2.25805i	0.0489182	+	0.214325i
$112$	5.52334	+	3.43539i	0.521906	+	0.324613i
$113$	−1.70578	+	3.54208i	−0.160466	+	0.333211i	−0.965664	−	0.259795i	$-0.916345\pi$
$113$	−1.70578	+	3.54208i	−0.160466	+	0.333211i	0.805198	+	0.593006i	$0.202059\pi$
$114$	−9.03750	−	0.243220i	−0.846439	−	0.0227796i
$115$		−	15.9082i		−	1.48345i
$116$	3.29026	−	10.2554i	0.305493	−	0.952194i
$117$		−	2.60829i		−	0.241136i
$118$	−0.274549	+	10.2016i	−0.0252742	+	0.939134i
$119$	−2.59602	+	5.39069i	−0.237977	+	0.494163i
$120$	−5.12467	−	1.61402i	−0.467816	−	0.147339i
$121$	−0.655776	−	2.87314i	−0.0596160	−	0.261195i
$122$	−4.49778	−	2.31709i	−0.407210	−	0.209780i
$123$	−1.07487	+	2.23199i	−0.0969178	+	0.201252i
$124$	2.79784	−	0.481962i	0.251254	−	0.0432815i
$125$	9.48415	−	7.56335i	0.848288	−	0.676487i
$126$	0.815028	+	4.07306i	0.0726085	+	0.362857i
$127$	6.18534	+	4.93264i	0.548860	+	0.437701i	0.858248	−	0.513235i	$-0.171553\pi$
$127$	6.18534	+	4.93264i	0.548860	+	0.437701i	−0.309388	+	0.950936i	$0.600124\pi$
$128$	−11.1136	−	2.11825i	−0.982316	−	0.187229i
$129$	5.10571	−	6.40236i	0.449533	−	0.563696i
$130$	3.15633	+	1.62603i	0.276829	+	0.142612i
$131$	2.81828	−	12.3477i	0.246234	−	1.07882i	−0.688991	−	0.724770i	$-0.741946\pi$
$131$	2.81828	−	12.3477i	0.246234	−	1.07882i	0.935225	−	0.354053i	$-0.115197\pi$
$132$	7.53239	−	3.14023i	0.655611	−	0.273322i
$133$	−9.51454			−0.825016
$134$	−2.41568	+	1.82232i	−0.208683	+	0.157425i
$135$	−3.96129	−	8.22570i	−0.340933	−	0.707955i
$136$	0.839107	−	10.3730i	0.0719528	−	0.889480i
$137$	15.5045	−	12.3644i	1.32464	−	1.05637i	0.331017	−	0.943625i	$-0.392608\pi$
$137$	15.5045	−	12.3644i	1.32464	−	1.05637i	0.993624	−	0.112741i	$-0.0359632\pi$
$138$	−9.10926	+	10.8126i	−0.775431	+	0.920430i
$139$	12.4119	+	2.83293i	1.05276	+	0.240286i	0.713681	−	0.700471i	$-0.247027\pi$
$139$	12.4119	+	2.83293i	1.05276	+	0.240286i	0.339081	+	0.940757i	$0.389884\pi$
$140$	−5.43697	−	1.55290i	−0.459508	−	0.131244i
$141$	2.54576	+	5.28633i	0.214392	+	0.445190i
$142$	−4.39783	+	5.22018i	−0.369058	+	0.438068i
$143$	−5.25769	+	1.20003i	−0.439670	+	0.100352i
$144$	−3.87185	−	6.09987i	−0.322655	−	0.508323i
$145$	−0.301849	+	9.35775i	−0.0250672	+	0.777119i
$146$	13.8045	+	3.54407i	1.14247	+	0.293309i
$147$	1.05898	+	4.63968i	0.0873429	+	0.382674i
$148$	−2.46128	−	3.45208i	−0.202316	−	0.283759i
$149$	−1.24621	−	2.58778i	−0.102094	−	0.212000i	0.843665	−	0.536870i	$-0.180394\pi$
$149$	−1.24621	−	2.58778i	−0.102094	−	0.212000i	−0.945758	+	0.324871i	$0.894679\pi$
$150$	−3.05413	−	0.0821935i	−0.249368	−	0.00671107i
$151$	−1.90368	+	8.34058i	−0.154920	+	0.678747i	0.836493	+	0.547977i	$0.184602\pi$
$151$	−1.90368	+	8.34058i	−0.154920	+	0.678747i	−0.991413	+	0.130770i	$0.958255\pi$
$152$	15.4407	−	5.95482i	1.25240	−	0.483000i
$153$	5.19594	−	4.14362i	0.420067	−	0.334992i
$154$	7.83534	−	3.51686i	0.631390	−	0.283396i
$155$	−2.22357	+	1.07082i	−0.178602	+	0.0860100i
$156$	−1.21423	−	2.91255i	−0.0972166	−	0.233191i
$157$	−11.6436			−0.929259			−0.464630	−	0.885505i	$-0.653813\pi$
$157$	−11.6436			−0.929259			−0.464630	+	0.885505i	$0.653813\pi$
$158$	−2.26406	+	1.70794i	−0.180119	+	0.135876i
$159$	−13.0923	−	2.98824i	−1.03829	−	0.236983i
$160$	9.79529	−	0.882686i	0.774386	−	0.0697824i
$161$	−9.27702	+	11.6330i	−0.731132	+	0.916810i
$162$	−0.112119	+	0.436715i	−0.00880890	+	0.0343116i
$163$	7.86518	−	9.86263i	0.616049	−	0.772500i	−0.371734	−	0.928339i	$-0.621237\pi$
$163$	7.86518	−	9.86263i	0.616049	−	0.772500i	0.987782	+	0.155839i	$0.0498081\pi$
$164$	0.243904	−	4.52818i	0.0190457	−	0.353592i
$165$	−5.54641	+	4.42312i	−0.431788	+	0.344339i
$166$	−0.781500	−	1.74114i	−0.0606562	−	0.135138i
$167$	1.34635	+	0.648366i	0.104183	+	0.0501721i	0.485250	−	0.874376i	$-0.338729\pi$
$167$	1.34635	+	0.648366i	0.104183	+	0.0501721i	−0.381066	+	0.924548i	$0.624443\pi$
$168$	2.80623	+	4.16877i	0.216505	+	0.321628i
$169$	−2.42875	−	10.6411i	−0.186827	−	0.818544i
$170$	1.77508	+	8.87085i	0.136142	+	0.680363i
$171$	9.52170	+	4.58541i	0.728143	+	0.350655i
$172$	−4.11675	+	14.4135i	−0.313899	+	1.09902i
$173$			0.890166i			0.0676781i	0.999427	+	0.0338391i	$0.0107734\pi$
$173$			0.890166i			0.0676781i	−0.999427	+	0.0338391i	$0.989227\pi$
$174$	5.56355	−	6.18751i	0.421772	−	0.469074i
$175$	−3.21534			−0.243057
$176$	−10.5145	+	10.6112i	−0.792561	+	0.799849i
$177$	−3.42093	+	7.10363i	−0.257133	+	0.533942i
$178$	15.0485	−	3.01123i	1.12793	−	0.225701i
$179$	13.8662	−	3.16486i	1.03640	−	0.236553i	0.329718	−	0.944079i	$-0.393046\pi$
$179$	13.8662	−	3.16486i	1.03640	−	0.236553i	0.706687	+	0.707527i	$0.250189\pi$
$180$	4.69266	+	4.17434i	0.349770	+	0.311137i
$181$	−11.3886	+	23.6487i	−0.846509	+	1.75779i	−0.225050	+	0.974347i	$0.572255\pi$
$181$	−11.3886	+	23.6487i	−0.846509	+	1.75779i	−0.621459	+	0.783447i	$0.713460\pi$
$182$	−1.35986	−	3.02970i	−0.100800	−	0.224576i
$183$	−2.43717	−	3.05611i	−0.180161	−	0.225914i
$184$	7.77452	−	24.6848i	0.573145	−	1.81979i
$185$	2.88146	+	2.29789i	0.211849	+	0.168944i
$186$	2.12450	+	0.545429i	0.155776	+	0.0399928i
$187$	−10.7431	−	8.56737i	−0.785616	−	0.626508i
$188$	−8.02475	−	7.13840i	−0.585265	−	0.520621i
$189$	−1.90017	+	8.32519i	−0.138217	+	0.605569i
$190$	−11.4848	+	8.66378i	−0.833193	+	0.628536i
$191$			16.8650i			1.22031i	0.792283	+	0.610154i	$0.208892\pi$
$191$			16.8650i			1.22031i	−0.792283	+	0.610154i	$0.791108\pi$
$192$	−7.16318	−	5.00898i	−0.516958	−	0.361492i
$193$	−3.17553	−	6.59406i	−0.228580	−	0.474651i	0.754860	−	0.655886i	$-0.227705\pi$
$193$	−3.17553	−	6.59406i	−0.228580	−	0.474651i	−0.983440	+	0.181235i	$0.941990\pi$
$194$	−5.95784	−	13.2737i	−0.427748	−	0.952997i
$195$	1.71029	+	2.14463i	0.122476	+	0.153580i
$196$	−5.05726	−	7.09309i	−0.361233	−	0.506649i
$197$	14.0004	+	3.19549i	0.997485	+	0.227669i	0.689942	−	0.723865i	$-0.257636\pi$
$197$	14.0004	+	3.19549i	0.997485	+	0.227669i	0.307543	+	0.951534i	$0.400493\pi$
$198$	−9.53614	−	0.256639i	−0.677704	−	0.0182386i
$199$	1.78267	−	0.858489i	0.126370	−	0.0608567i	−0.369630	−	0.929179i	$-0.620516\pi$
$199$	1.78267	−	0.858489i	0.126370	−	0.0608567i	0.496001	+	0.868322i	$0.334801\pi$
$200$	5.21802	−	2.01237i	0.368969	−	0.142296i
$201$	−2.27918	+	0.520209i	−0.160761	+	0.0366927i
$202$	4.43993	−	17.2940i	0.312393	−	1.21680i
$203$	5.67780	−	6.66693i	0.398504	−	0.467926i
$204$	3.87308	−	7.04585i	0.271170	−	0.493308i
$205$	0.877187	+	3.84321i	0.0612654	+	0.268421i
$206$	3.81900	−	4.53311i	0.266082	−	0.315837i
$207$	14.8904	−	7.17083i	1.03495	−	0.498407i
$208$	4.10304	+	4.06565i	0.284494	+	0.281902i
$209$	4.86231	−	21.3032i	0.336333	−	1.47357i
$210$	−3.34090	−	2.81460i	−0.230544	−	0.194226i
$211$	−7.80367	−	9.78550i	−0.537227	−	0.673661i	0.436940	−	0.899491i	$-0.356062\pi$
$211$	−7.80367	−	9.78550i	−0.537227	−	0.673661i	−0.974167	+	0.225829i	$0.927491\pi$
$212$	24.2251	−	4.17306i	1.66379	−	0.286607i
$213$	−4.75123	+	2.28807i	−0.325549	+	0.156776i
$214$	19.0816	−	14.3946i	1.30439	−	0.983997i
$215$		−	13.0306i		−	0.888682i
$216$	−2.12675	−	14.6998i	−0.144707	−	1.00019i
$217$	2.25047	+	0.513655i	0.152772	+	0.0348691i
$218$	−0.487780	+	0.946845i	−0.0330366	+	0.0641284i
$219$	8.60873	+	6.86524i	0.581724	+	0.463910i
$220$	6.25546	−	11.3798i	0.421743	−	0.767228i
$221$	−3.31275	+	4.15405i	−0.222840	+	0.279432i
$222$	−0.642691	−	3.21182i	−0.0431346	−	0.215563i
$223$	0.525195	+	0.658573i	0.0351696	+	0.0441013i	0.799105	−	0.601191i	$-0.205307\pi$
$223$	0.525195	+	0.658573i	0.0351696	+	0.0441013i	−0.763936	+	0.645292i	$0.776736\pi$
$224$	−7.67765	−	5.06675i	−0.512985	−	0.338537i
$225$	3.21776	+	1.54959i	0.214517	+	0.103306i
$226$	2.54622	−	4.94255i	0.169372	−	0.328773i
$227$	−18.5853	+	4.24197i	−1.23355	+	0.281549i	−0.789106	−	0.614258i	$-0.789456\pi$
$227$	−18.5853	+	4.24197i	−1.23355	+	0.281549i	−0.444443	+	0.895807i	$0.646598\pi$
$228$	12.7671	+	0.687680i	0.845520	+	0.0455427i
$229$	−21.6311	−	10.4170i	−1.42942	−	0.688374i	−0.450532	−	0.892760i	$-0.648766\pi$
$229$	−21.6311	−	10.4170i	−1.42942	−	0.688374i	−0.978890	+	0.204387i	$0.934480\pi$
$230$	−0.605241	+	22.4894i	−0.0399084	+	1.48291i
$231$	6.63526			0.436568
$232$	−5.04163	+	14.3730i	−0.330999	+	0.943631i
$233$	17.5025			1.14663			0.573315	−	0.819335i	$-0.305657\pi$
$233$	17.5025			1.14663			0.573315	+	0.819335i	$0.305657\pi$
$234$	−0.0992348	+	3.68734i	−0.00648718	+	0.241049i
$235$	8.41189	+	4.05095i	0.548731	+	0.264255i
$236$	0.776260	−	14.4116i	0.0505302	−	0.938115i
$237$	−2.13612	+	0.487556i	−0.138756	+	0.0316702i
$238$	3.87509	−	7.52205i	0.251185	−	0.487582i
$239$	−23.1952	−	11.1702i	−1.50037	−	0.722542i	−0.509899	−	0.860234i	$-0.670317\pi$
$239$	−23.1952	−	11.1702i	−1.50037	−	0.722542i	−0.990475	+	0.137692i	$0.956032\pi$
$240$	7.18335	+	2.47672i	0.463683	+	0.159872i
$241$	17.8311	+	22.3595i	1.14860	+	1.44030i	0.878675	+	0.477421i	$0.158428\pi$
$241$	17.8311	+	22.3595i	1.14860	+	1.44030i	0.269927	+	0.962881i	$0.413000\pi$
$242$	0.817760	+	4.08671i	0.0525676	+	0.262704i
$243$	9.60516	−	12.0445i	0.616171	−	0.772654i
$244$	6.27037	+	3.44680i	0.401419	+	0.220659i
$245$	5.92062	+	4.72154i	0.378255	+	0.301648i
$246$	1.60446	−	3.11448i	0.102297	−	0.198572i
$247$	−8.23730	−	1.88011i	−0.524127	−	0.119629i
$248$	−3.97365	+	0.574904i	−0.252327	+	0.0365065i
$249$		−	1.47446i		−	0.0934400i
$250$	−13.6955	+	10.3315i	−0.866180	+	0.653421i
$251$	−19.5873	+	9.43275i	−1.23634	+	0.595390i	−0.933817	−	0.357752i	$-0.883543\pi$
$251$	−19.5873	+	9.43275i	−1.23634	+	0.595390i	−0.302523	+	0.953142i	$0.597829\pi$
$252$	−0.997243	−	5.78910i	−0.0628204	−	0.364679i
$253$	−21.3055	−	26.7163i	−1.33947	−	1.67964i
$254$	−8.55656	−	7.20861i	−0.536886	−	0.452309i
$255$	−1.55527	+	6.81409i	−0.0973949	+	0.426715i
$256$	15.6308	+	3.41741i	0.976924	+	0.213588i
$257$	−19.0612	+	9.17937i	−1.18900	+	0.572593i	−0.920521	−	0.390692i	$-0.872236\pi$
$257$	−19.0612	+	9.17937i	−1.18900	+	0.572593i	−0.268481	+	0.963285i	$0.586521\pi$
$258$	−7.46154	+	8.85677i	−0.464535	+	0.551399i
$259$	−0.767060	−	3.36071i	−0.0476628	−	0.208824i
$260$	−4.40025	−	2.41880i	−0.272892	−	0.150008i
$261$	−8.89511	+	3.93560i	−0.550594	+	0.243607i
$262$	−4.45399	+	17.3487i	−0.275168	+	1.07181i
$263$	28.0504	−	6.40232i	1.72966	−	0.394784i	0.762108	−	0.647449i	$-0.224164\pi$
$263$	28.0504	−	6.40232i	1.72966	−	0.394784i	0.967554	+	0.252665i	$0.0813071\pi$
$264$	−10.7680	+	4.15277i	−0.662726	+	0.255586i
$265$	−19.2528	+	9.27165i	−1.18269	+	0.569553i
$266$	13.4507	+	0.361990i	0.824717	+	0.0221950i
$267$	11.5594	+	2.63835i	0.707423	+	0.161465i
$268$	3.48439	−	2.48431i	0.212843	−	0.151754i
$269$	5.86805	+	7.35830i	0.357781	+	0.448643i	0.927850	−	0.372954i	$-0.121655\pi$
$269$	5.86805	+	7.35830i	0.357781	+	0.448643i	−0.570069	+	0.821597i	$0.693084\pi$
$270$	5.28712	+	11.7794i	0.321764	+	0.716871i
$271$	2.27630	+	4.72678i	0.138275	+	0.287132i	0.958595	−	0.284774i	$-0.0919186\pi$
$271$	2.27630	+	4.72678i	0.138275	+	0.287132i	−0.820319	+	0.571906i	$0.806204\pi$
$272$	−1.58090	+	14.6325i	−0.0958561	+	0.887223i
$273$		−	2.56566i		−	0.155281i
$274$	−22.3892	+	16.8898i	−1.35258	+	1.02035i
$275$	1.64317	−	7.19918i	0.0990866	−	0.434127i
$276$	13.2891	−	14.9392i	0.799913	−	0.899236i
$277$	12.1522	+	9.69102i	0.730152	+	0.582277i	0.916418	−	0.400223i	$-0.131067\pi$
$277$	12.1522	+	9.69102i	0.730152	+	0.582277i	−0.186266	+	0.982499i	$0.559639\pi$
$278$	−17.4389	−	4.47714i	−1.04592	−	0.268521i
$279$	−2.00461	−	1.59862i	−0.120013	−	0.0957071i
$280$	7.62717	+	2.40219i	0.455810	+	0.143558i
$281$	11.4876	+	14.4050i	0.685294	+	0.859331i	0.995830	−	0.0912305i	$-0.0290800\pi$
$281$	11.4876	+	14.4050i	0.685294	+	0.859331i	−0.310536	+	0.950562i	$0.600509\pi$
$282$	−3.39783	−	7.57016i	−0.202338	−	0.450796i
$283$	−6.93118	+	14.3927i	−0.412016	+	0.855560i	0.586929	+	0.809638i	$0.300337\pi$
$283$	−6.93118	+	14.3927i	−0.412016	+	0.855560i	−0.998945	+	0.0459214i	$0.985378\pi$
$284$	6.41583	−	7.21246i	0.380709	−	0.427981i
$285$	−10.8358	+	2.47320i	−0.641858	+	0.146500i
$286$	7.47847	−	1.49646i	0.442211	−	0.0884873i
$287$	1.59976	−	3.32193i	0.0944306	−	0.196087i
$288$	5.24157	+	8.77071i	0.308863	+	0.516819i
$289$	3.46201			0.203647
$290$	0.782749	−	13.2176i	0.0459646	−	0.776164i
$291$		−	11.2407i		−	0.658939i
$292$	−19.3806	−	5.53546i	−1.13416	−	0.323938i
$293$	22.2097	+	10.6956i	1.29751	+	0.624846i	0.949829	−	0.312769i	$-0.101256\pi$
$293$	22.2097	+	10.6956i	1.29751	+	0.624846i	0.347677	+	0.937614i	$0.386971\pi$
$294$	−1.32056	−	6.59941i	−0.0770164	−	0.384886i
$295$	2.79177	+	12.2316i	0.162543	+	0.712149i
$296$	3.34817	+	4.97385i	0.194609	+	0.289099i
$297$	−17.6691	−	8.50900i	−1.02527	−	0.493743i
$298$	1.66332	+	3.70577i	0.0963533	+	0.214669i
$299$	−10.3304	+	8.23822i	−0.597422	+	0.476428i
$300$	4.31450	+	0.232394i	0.249098	+	0.0134173i
$301$	−7.59895	+	9.52878i	−0.437996	+	0.549230i
$302$	3.00857	−	11.7187i	0.173124	−	0.674334i
$303$	8.60062	−	10.7848i	0.494093	−	0.619573i
$304$	−22.0551	+	7.83088i	−1.26495	+	0.449132i
$305$	−6.06411	−	1.38409i	−0.347230	−	0.0792530i
$306$	−7.50316	+	5.66017i	−0.428927	+	0.323570i
$307$	−8.54371			−0.487615			−0.243808	−	0.969824i	$-0.578397\pi$
$307$	−8.54371			−0.487615			−0.243808	+	0.969824i	$0.578397\pi$
$308$	−11.2106	+	4.67368i	−0.638785	+	0.266308i
$309$	4.12589	−	1.98692i	0.234714	−	0.113032i
$310$	3.18421	−	1.42922i	0.180851	−	0.0811741i
$311$	1.69414	−	1.35103i	0.0960658	−	0.0766099i	−0.574279	−	0.818660i	$-0.694718\pi$
$311$	1.69414	−	1.35103i	0.0960658	−	0.0766099i	0.670345	+	0.742050i	$0.266146\pi$
$312$	1.60575	+	4.16368i	0.0909080	+	0.235722i
$313$	−7.64525	+	33.4960i	−0.432135	+	1.89331i	0.0170236	+	0.999855i	$0.494581\pi$
$313$	−7.64525	+	33.4960i	−0.432135	+	1.89331i	−0.449159	+	0.893452i	$0.648276\pi$
$314$	16.4606	+	0.442991i	0.928923	+	0.0249994i
$315$	2.21566	+	4.60086i	0.124838	+	0.259229i
$316$	3.26568	−	2.32838i	0.183709	−	0.130981i
$317$	1.28689	+	5.63823i	0.0722790	+	0.316675i	0.998124	−	0.0612292i	$-0.0195021\pi$
$317$	1.28689	+	5.63823i	0.0722790	+	0.316675i	−0.925845	+	0.377904i	$0.876645\pi$
$318$	18.3950	+	4.72259i	1.03154	+	0.264830i
$319$	12.0257	+	16.1197i	0.673312	+	0.902531i
$320$	−13.8812	+	0.875183i	−0.775983	+	0.0489242i
$321$	18.0034	−	4.10916i	1.00485	−	0.229351i
$322$	13.5575	−	16.0927i	0.755531	−	0.896809i
$323$	−9.34074	−	19.3962i	−0.519733	−	1.07924i
$324$	0.175118	−	0.613119i	0.00972878	−	0.0340622i
$325$	−2.78371	−	0.635364i	−0.154412	−	0.0352436i
$326$	−11.4943	+	13.6436i	−0.636608	+	0.755648i
$327$	−0.643353	+	0.513057i	−0.0355775	+	0.0283721i
$328$	−0.517087	+	6.39222i	−0.0285513	+	0.352951i
$329$	−3.78892	−	7.86778i	−0.208890	−	0.433765i
$330$	8.00925	−	6.04195i	0.440895	−	0.332598i
$331$	1.88581			0.103654			0.0518269	−	0.998656i	$-0.483496\pi$
$331$	1.88581			0.103654			0.0518269	+	0.998656i	$0.483496\pi$
$332$	1.03857	+	2.49118i	0.0569987	+	0.136721i
$333$	−0.852013	+	3.73291i	−0.0466900	+	0.204562i
$334$	−1.87866	−	0.967819i	−0.102796	−	0.0529567i
$335$	−2.31940	+	2.90843i	−0.126722	+	0.158905i
$336$	−3.80857	−	6.00017i	−0.207774	−	0.327336i
$337$	4.27939	+	3.41270i	0.233113	+	0.185902i	0.733079	−	0.680144i	$-0.238083\pi$
$337$	4.27939	+	3.41270i	0.233113	+	0.185902i	−0.499966	+	0.866045i	$0.666654\pi$
$338$	3.02868	+	15.1357i	0.164739	+	0.823274i
$339$	3.35832	−	2.67817i	0.182399	−	0.145458i
$340$	−2.17193	−	12.6083i	−0.117789	−	0.683780i
$341$	−2.30016	+	4.77632i	−0.124560	+	0.258652i
$342$	−13.2864	−	6.84466i	−0.718446	−	0.370117i
$343$	−4.10905	−	18.0029i	−0.221868	−	0.972066i
$344$	6.36823	−	20.2197i	0.343352	−	1.09017i
$345$	−7.54143	+	15.6599i	−0.406017	+	0.843102i
$346$	0.0338672	−	1.25843i	0.00182071	−	0.0676536i
$347$			15.6943i			0.842515i	0.906941	+	0.421258i	$0.138411\pi$
$347$			15.6943i			0.842515i	−0.906941	+	0.421258i	$0.861589\pi$
$348$	−8.10061	+	8.53563i	−0.434238	+	0.457558i
$349$		−	15.8189i		−	0.846769i	−0.905950	−	0.423384i	$-0.860842\pi$
$349$		−	15.8189i		−	0.846769i	0.905950	−	0.423384i	$-0.139158\pi$
$350$	4.54553	+	0.122331i	0.242969	+	0.00653885i
$351$	−3.29018	+	6.83213i	−0.175617	+	0.364672i
$352$	15.2681	−	14.6010i	0.813792	−	0.778238i
$353$	−6.85197	−	30.0205i	−0.364694	−	1.59783i	−0.741114	−	0.671379i	$-0.765702\pi$
$353$	−6.85197	−	30.0205i	−0.364694	−	1.59783i	0.376421	−	0.926449i	$-0.377155\pi$
$354$	5.10644	−	9.91226i	0.271404	−	0.526831i
$355$	−3.64090	+	7.56041i	−0.193239	+	0.401265i
$356$	−21.3886	+	3.68445i	−1.13359	+	0.195275i
$357$	5.11101	−	4.07590i	0.270504	−	0.215719i
$358$	−19.7230	+	3.94662i	−1.04239	+	0.208585i
$359$	5.82212	+	4.64298i	0.307280	+	0.245047i	0.764972	−	0.644063i	$-0.222753\pi$
$359$	5.82212	+	4.64298i	0.307280	+	0.245047i	−0.457693	+	0.889110i	$0.651324\pi$
$360$	−6.47520	−	6.07981i	−0.341273	−	0.320434i
$361$	9.49844	−	11.9107i	0.499918	−	0.626877i
$362$	16.9998	−	32.9989i	0.893492	−	1.73438i
$363$	−0.716498	+	3.13918i	−0.0376064	+	0.164764i
$364$	1.80717	+	4.33482i	0.0947217	+	0.227206i
$365$	17.5212			0.917104
$366$	3.32915	+	4.41315i	0.174018	+	0.230679i
$367$	−9.72339	−	20.1908i	−0.507557	−	1.05395i	−0.984559	−	0.175051i	$-0.943991\pi$
$367$	−9.72339	−	20.1908i	−0.507557	−	1.05395i	0.477002	−	0.878902i	$-0.341723\pi$
$368$	−11.9300	+	34.6012i	−0.621895	+	1.80371i
$369$	−3.20192	+	2.55344i	−0.166685	+	0.132927i
$370$	−3.98610	−	3.35816i	−0.207228	−	0.174582i
$371$	19.4857	+	4.44747i	1.01164	+	0.230901i
$372$	−2.98266	−	0.851903i	−0.154644	−	0.0441691i
$373$	−13.0319	−	27.0611i	−0.674767	−	1.40117i	−0.903887	−	0.427771i	$-0.859299\pi$
$373$	−13.0319	−	27.0611i	−0.674767	−	1.40117i	0.229120	−	0.973398i	$-0.426415\pi$
$374$	14.8616	+	12.5204i	0.768477	+	0.647416i
$375$	−12.9216	+	2.94928i	−0.667270	+	0.152300i
$376$	11.0730	+	10.3969i	0.571047	+	0.536178i
$377$	6.23302	−	4.65000i	0.321017	−	0.239487i
$378$	3.00301	−	11.6970i	0.154458	−	0.601631i
$379$	2.34022	+	10.2532i	0.120209	+	0.526671i	0.998795	+	0.0490857i	$0.0156308\pi$
$379$	2.34022	+	10.2532i	0.120209	+	0.526671i	−0.878585	+	0.477585i	$0.841512\pi$
$380$	16.5657	−	11.8110i	0.849801	−	0.605894i
$381$	−3.75045	−	7.78789i	−0.192141	−	0.398986i
$382$	0.641644	−	23.8421i	0.0328294	−	1.21987i
$383$	−7.53522	+	33.0140i	−0.385032	+	1.68693i	0.296409	+	0.955061i	$0.404211\pi$
$383$	−7.53522	+	33.0140i	−0.385032	+	1.68693i	−0.681440	+	0.731874i	$0.738646\pi$
$384$	9.93603	+	7.35373i	0.507046	+	0.375268i
$385$	8.25486	−	6.58303i	0.420707	−	0.335502i
$386$	4.23838	+	9.44285i	0.215728	+	0.480628i
$387$	12.1969	−	5.87374i	0.620005	−	0.298579i
$388$	7.91760	+	18.9917i	0.401955	+	0.964159i
$389$	26.1890			1.32784			0.663918	−	0.747805i	$-0.268892\pi$
$389$	26.1890			1.32784			0.663918	+	0.747805i	$0.268892\pi$
$390$	−2.33624	−	3.09694i	−0.118300	−	0.156820i
$391$	−32.8225	−	7.49152i	−1.65990	−	0.378862i
$392$	6.87959	+	10.2199i	0.347472	+	0.516184i
$393$	−8.62785	+	10.8190i	−0.435217	+	0.545745i
$394$	−19.6708	−	5.05013i	−0.990999	−	0.254422i
$395$	−2.17381	+	2.72587i	−0.109376	+	0.137154i
$396$	13.4715	+	0.725623i	0.676968	+	0.0364639i
$397$	3.10557	−	2.47661i	0.155864	−	0.124298i	−0.542453	−	0.840086i	$-0.682504\pi$
$397$	3.10557	−	2.47661i	0.155864	−	0.124298i	0.698317	+	0.715789i	$0.253933\pi$
$398$	−2.55283	+	1.14582i	−0.127962	+	0.0574350i
$399$	9.36607	+	4.51046i	0.468890	+	0.225805i
$400$	−7.45328	+	2.64636i	−0.372664	+	0.132318i
$401$	−4.44562	−	19.4775i	−0.222004	−	0.972661i	−0.955967	−	0.293473i	$-0.905189\pi$
$401$	−4.44562	−	19.4775i	−0.222004	−	0.972661i	0.733964	−	0.679189i	$-0.237668\pi$
$402$	3.24188	−	0.648706i	0.161690	−	0.0323545i
$403$	1.84686	+	0.889403i	0.0919988	+	0.0443043i
$404$	−6.93471	+	24.2796i	−0.345015	+	1.20796i
$405$			0.554297i			0.0275432i
$406$	−8.28037	+	9.20903i	−0.410948	+	0.457036i
$407$	7.91667			0.392415
$408$	−5.74345	+	9.81338i	−0.284343	+	0.485835i
$409$	0.144007	−	0.299035i	0.00712071	−	0.0147863i	−0.897378	−	0.441262i	$-0.854531\pi$
$409$	0.144007	−	0.299035i	0.00712071	−	0.0147863i	0.904499	+	0.426476i	$0.140245\pi$
$410$	−1.09386	−	5.46652i	−0.0540220	−	0.269972i
$411$	−21.1241	+	4.82143i	−1.04197	+	0.237824i
$412$	−5.57139	+	6.26317i	−0.274483	+	0.308564i
$413$	5.09145	−	10.5725i	0.250534	−	0.520239i
$414$	−21.3234	+	9.57089i	−1.04799	+	0.470384i
$415$	−1.46285	−	1.83436i	−0.0718086	−	0.0900451i
$416$	−5.64579	−	5.90372i	−0.276808	−	0.289454i
$417$	−10.8752	−	8.67270i	−0.532562	−	0.424704i
$418$	−7.68435	+	29.9313i	−0.375854	+	1.46399i
$419$	−23.3220	−	18.5987i	−1.13935	−	0.908605i	−0.142654	−	0.989773i	$-0.545564\pi$
$419$	−23.3220	−	18.5987i	−1.13935	−	0.908605i	−0.996700	+	0.0811675i	$0.974135\pi$
$420$	4.61596	+	4.10611i	0.225236	+	0.200358i
$421$	−4.87126	+	21.3424i	−0.237411	+	1.04016i	0.705915	+	0.708296i	$0.250536\pi$
$421$	−4.87126	+	21.3424i	−0.237411	+	1.04016i	−0.943326	+	0.331868i	$0.892321\pi$
$422$	10.6598	+	14.1307i	0.518909	+	0.687870i
$423$			9.69972i			0.471616i
$424$	−34.4058	+	4.97780i	−1.67089	+	0.241743i
$425$	−3.15660	−	6.55476i	−0.153118	−	0.317952i
$426$	6.80388	−	3.05389i	0.329649	−	0.147961i
$427$	3.62729	+	4.54848i	0.175537	+	0.220117i
$428$	−27.5234	+	19.6237i	−1.33039	+	0.948550i
$429$	5.74453	+	1.31115i	0.277349	+	0.0633030i
$430$	−0.495763	+	18.4214i	−0.0239078	+	0.888360i
$431$	11.8586	−	5.71081i	0.571209	−	0.275080i	−0.125902	−	0.992043i	$-0.540183\pi$
$431$	11.8586	−	5.71081i	0.571209	−	0.275080i	0.697112	+	0.716963i	$0.254468\pi$
$432$	2.44733	+	20.8620i	0.117747	+	1.00372i
$433$	17.6725	−	4.03363i	0.849285	−	0.193844i	0.224338	−	0.974511i	$-0.427978\pi$
$433$	17.6725	−	4.03363i	0.849285	−	0.193844i	0.624946	+	0.780668i	$0.285121\pi$
$434$	−3.16195	−	0.811776i	−0.151778	−	0.0389665i
$435$	4.73327	−	9.06863i	0.226943	−	0.434808i
$436$	0.725599	−	1.32000i	0.0347499	−	0.0632165i
$437$	−11.9131	−	52.1946i	−0.569879	−	2.49680i
$438$	−11.9090	−	10.0329i	−0.569033	−	0.479392i
$439$	14.4242	−	6.94631i	0.688428	−	0.331529i	−0.0567564	−	0.998388i	$-0.518076\pi$
$439$	14.4242	−	6.94631i	0.688428	−	0.331529i	0.745184	+	0.666859i	$0.232362\pi$
$440$	−9.27631	+	15.8497i	−0.442231	+	0.755605i
$441$	−1.75066	+	7.67012i	−0.0833645	+	0.365244i
$442$	4.84128	−	5.74656i	0.230276	−	0.273336i
$443$	11.1750	+	14.0130i	0.530941	+	0.665779i	0.972892	−	0.231260i	$-0.0742848\pi$
$443$	11.1750	+	14.0130i	0.530941	+	0.665779i	−0.441951	+	0.897039i	$0.645713\pi$
$444$	0.786377	+	4.56500i	0.0373198	+	0.216646i
$445$	16.9985	−	8.18605i	0.805806	−	0.388056i
$446$	−0.717413	−	0.951008i	−0.0339705	−	0.0450315i
$447$			3.13818i			0.148431i
$448$	10.6611	+	7.45498i	0.503691	+	0.352215i
$449$	19.9446	+	4.55222i	0.941243	+	0.214833i	0.665499	−	0.746399i	$-0.268219\pi$
$449$	19.9446	+	4.55222i	0.941243	+	0.214833i	0.275744	+	0.961231i	$0.411076\pi$
$450$	−4.48999	−	2.31308i	−0.211660	−	0.109040i
$451$	6.62029	+	5.27951i	0.311737	+	0.248602i
$452$	−3.78764	+	6.89042i	−0.178156	+	0.324098i
$453$	5.82791	−	7.30797i	0.273819	−	0.343358i
$454$	26.4354	−	5.28979i	1.24068	−	0.248262i
$455$	−2.54546	−	3.19191i	−0.119333	−	0.149639i
$456$	−18.0227	−	1.45791i	−0.843989	−	0.0682729i
$457$	15.9455	+	7.67893i	0.745897	+	0.359205i	0.767914	−	0.640552i	$-0.221295\pi$
$457$	15.9455	+	7.67893i	0.745897	+	0.359205i	−0.0220173	+	0.999758i	$0.507009\pi$
$458$	30.1836	+	15.5495i	1.41039	+	0.726580i
$459$	−18.8371	+	4.29945i	−0.879241	+	0.200681i
$460$	1.71126	−	31.7703i	0.0797880	−	1.48130i
$461$	35.9526	+	17.3138i	1.67448	+	0.806386i	0.997522	+	0.0703622i	$0.0224155\pi$
$461$	35.9526	+	17.3138i	1.67448	+	0.806386i	0.676956	+	0.736024i	$0.263299\pi$
$462$	−9.38027	−	0.252444i	−0.436410	−	0.0117448i
$463$	−31.5972			−1.46845			−0.734224	−	0.678907i	$-0.762454\pi$
$463$	−31.5972			−1.46845			−0.734224	+	0.678907i	$0.762454\pi$
$464$	7.67419	−	20.1273i	0.356265	−	0.934385i
$465$	2.69651			0.125047
$466$	−24.7434	−	0.665901i	−1.14621	−	0.0308472i
$467$	−0.853792	−	0.411165i	−0.0395088	−	0.0190264i	0.414025	−	0.910265i	$-0.364123\pi$
$467$	−0.853792	−	0.411165i	−0.0395088	−	0.0190264i	−0.453534	+	0.891239i	$0.649837\pi$
$468$	0.280577	−	5.20903i	0.0129697	−	0.240787i
$469$	3.39216	−	0.774239i	0.156636	−	0.0357510i
$470$	−11.7378	−	6.04687i	−0.541423	−	0.278922i
$471$	11.4619	+	5.51975i	0.528136	+	0.254337i
$472$	−1.64570	+	20.3442i	−0.0757496	+	0.936416i
$473$	−17.4517	−	21.8837i	−0.802429	−	1.00621i
$474$	3.03839	−	0.607988i	0.139558	−	0.0279258i
$475$	7.21323	−	9.04511i	0.330966	−	0.415018i
$476$	−5.76440	+	10.4865i	−0.264211	+	0.480648i
$477$	−17.3569	−	13.8417i	−0.794718	−	0.633767i
$478$	32.3661	+	16.6739i	1.48039	+	0.762644i
$479$	30.3694	+	6.93161i	1.38761	+	0.316714i	0.850135	−	0.526564i	$-0.176520\pi$
$479$	30.3694	+	6.93161i	1.38761	+	0.316714i	0.537478	+	0.843278i	$0.319377\pi$
$480$	−10.0609	−	3.77464i	−0.459214	−	0.172288i
$481$		−	3.06114i		−	0.139576i
$482$	−24.3572	−	32.2880i	−1.10944	−	1.47068i
$483$	14.6470	−	7.05362i	0.666461	−	0.320951i
$484$	−1.00059	−	5.80851i	−0.0454812	−	0.264023i
$485$	−11.1522	−	13.9844i	−0.506395	−	0.634999i
$486$	−14.0371	+	16.6619i	−0.636735	+	0.755798i
$487$	0.656974	−	2.87839i	0.0297704	−	0.130432i	−0.957859	−	0.287239i	$-0.907263\pi$
$487$	0.656974	−	2.87839i	0.0297704	−	0.130432i	0.987629	+	0.156806i	$0.0501198\pi$
$488$	−8.73329	−	5.11131i	−0.395338	−	0.231378i
$489$	−12.4179	+	5.98015i	−0.561558	+	0.270432i
$490$	−8.19036	−	6.90010i	−0.370003	−	0.311715i
$491$	2.72524	+	11.9400i	0.122988	+	0.538847i	0.998455	+	0.0555683i	$0.0176970\pi$
$491$	2.72524	+	11.9400i	0.122988	+	0.538847i	−0.875467	+	0.483279i	$0.839446\pi$
$492$	−2.38673	+	4.34190i	−0.107602	+	0.195748i
$493$	19.1652	+	5.02957i	0.863158	+	0.226520i
$494$	11.5736	+	2.97131i	0.520719	+	0.133686i
$495$	−11.4337	+	2.60966i	−0.513905	+	0.117296i
$496$	5.63943	−	0.661562i	0.253218	−	0.0297050i
$497$	7.07138	−	3.40539i	0.317195	−	0.152753i
$498$	−0.0560971	+	2.08444i	−0.00251377	+	0.0934061i
$499$	−13.3696	−	3.05153i	−0.598506	−	0.136605i	−0.0874741	−	0.996167i	$-0.527879\pi$
$499$	−13.3696	−	3.05153i	−0.598506	−	0.136605i	−0.511032	+	0.859562i	$0.670737\pi$
$500$	19.7544	−	14.0846i	0.883445	−	0.629882i
$501$	−1.01797	−	1.27650i	−0.0454796	−	0.0570297i
$502$	28.0495	−	12.5899i	1.25191	−	0.561914i
$503$	−5.10909	−	10.6091i	−0.227803	−	0.473038i	0.755468	−	0.655186i	$-0.227410\pi$
$503$	−5.10909	−	10.6091i	−0.227803	−	0.473038i	−0.983271	+	0.182147i	$0.941695\pi$
$504$	1.18955	+	8.22200i	0.0529869	+	0.366237i
$505$		−	21.9502i		−	0.976773i
$506$	29.1032	+	38.5794i	1.29380	+	1.71507i
$507$	−2.65365	+	11.6264i	−0.117853	+	0.516346i
$508$	11.8222	+	10.5164i	0.524523	+	0.466588i
$509$	10.5251	+	8.39349i	0.466517	+	0.372035i	0.828353	−	0.560207i	$-0.189278\pi$
$509$	10.5251	+	8.39349i	0.466517	+	0.372035i	−0.361836	+	0.932242i	$0.617850\pi$
$510$	2.45794	−	9.57392i	0.108839	−	0.423940i
$511$	−12.8126	−	10.2177i	−0.566795	−	0.452004i
$512$	−21.9672	−	5.42588i	−0.970824	−	0.239792i
$513$	−19.1569	−	24.0220i	−0.845797	−	1.06060i
$514$	27.2960	−	12.2517i	1.20398	−	0.540399i
$515$	3.16169	−	6.56532i	0.139321	−	0.289303i
$516$	10.8853	−	12.2370i	0.479201	−	0.538702i
$517$	19.5523	−	4.46269i	0.859911	−	0.196269i
$518$	0.956533	+	4.78023i	0.0420276	+	0.210031i
$519$	0.421992	−	0.876276i	0.0185234	−	0.0384642i
$520$	6.12861	+	3.58688i	0.268757	+	0.157295i
$521$	10.9686			0.480543			0.240271	−	0.970706i	$-0.422764\pi$
$521$	10.9686			0.480543			0.240271	+	0.970706i	$0.422764\pi$
$522$	12.7248	−	5.22534i	0.556948	−	0.228707i
$523$			14.3783i			0.628719i	0.949304	+	0.314359i	$0.101790\pi$
$523$			14.3783i			0.628719i	−0.949304	+	0.314359i	$0.898210\pi$
$524$	6.95666	−	24.3565i	0.303903	−	1.06402i
$525$	3.16516	+	1.52426i	0.138139	+	0.0665243i
$526$	−39.8985	+	7.98377i	−1.73966	+	0.348109i
$527$	1.16223	+	5.09205i	0.0506274	+	0.221813i
$528$	15.3808	−	5.46110i	0.669362	−	0.237664i
$529$	−54.7094	−	26.3466i	−2.37867	−	1.14551i
$530$	27.5704	−	12.3749i	1.19758	−	0.537530i
$531$	−10.1906	+	8.12670i	−0.442233	+	0.352669i
$532$	−19.0015	−	1.02349i	−0.823821	−	0.0443740i
$533$	2.04143	−	2.55987i	0.0884241	−	0.110880i
$534$	−16.2411	−	4.16963i	−0.702823	−	0.180438i
$535$	18.3211	−	22.9739i	0.792088	−	0.993248i
$536$	−5.02041	+	3.37951i	−0.216848	+	0.145973i
$537$	−15.1501	−	3.45791i	−0.653775	−	0.149220i
$538$	−8.01571	−	10.6257i	−0.345582	−	0.458106i
$539$	16.2666			0.700652
$540$	−7.02626	−	16.8537i	−0.302362	−	0.725268i
$541$	8.96236	−	4.31604i	0.385322	−	0.185561i	−0.231187	−	0.972909i	$-0.574261\pi$
$541$	8.96236	−	4.31604i	0.385322	−	0.185561i	0.616509	+	0.787348i	$0.288547\pi$
$542$	−3.03817	−	6.76887i	−0.130501	−	0.290748i
$543$	22.4218	−	17.8808i	0.962211	−	0.767338i
$544$	2.79162	−	20.6258i	0.119690	−	0.884323i
$545$	−0.291371	+	1.27658i	−0.0124810	+	0.0546826i
$546$	−0.0976128	+	3.62707i	−0.00417744	+	0.155224i
$547$	−0.698537	−	1.45053i	−0.0298673	−	0.0620201i	0.885501	−	0.464637i	$-0.153815\pi$
$547$	−0.698537	−	1.45053i	−0.0298673	−	0.0620201i	−0.915369	+	0.402617i	$0.868101\pi$
$548$	32.2942	−	23.0253i	1.37954	−	0.983590i
$549$	−1.43794	−	6.30003i	−0.0613698	−	0.268879i
$550$	−2.59685	+	10.1150i	−0.110730	+	0.431304i
$551$	6.01733	+	30.9287i	0.256347	+	1.31761i
$552$	−19.3553	+	20.6140i	−0.823815	+	0.877391i
$553$	3.17924	−	0.725641i	0.135195	−	0.0308574i
$554$	−16.8108	−	14.1625i	−0.714223	−	0.601709i
$555$	−1.74716	−	3.62802i	−0.0741629	−	0.154001i
$556$	24.4831	+	6.99282i	1.03831	+	0.296562i
$557$	8.29697	+	1.89373i	0.351554	+	0.0802398i	0.394651	−	0.918831i	$-0.370865\pi$
$557$	8.29697	+	1.89373i	0.351554	+	0.0802398i	−0.0430974	+	0.999071i	$0.513723\pi$
$558$	2.77310	+	2.33625i	0.117395	+	0.0989012i
$559$	−8.46179	+	6.74805i	−0.357895	+	0.285412i
$560$	−10.6911	−	3.68616i	−0.451783	−	0.155769i
$561$	6.51405	+	13.5266i	0.275023	+	0.571092i
$562$	−15.6920	−	20.8015i	−0.661927	−	0.877456i
$563$	−22.0880			−0.930899			−0.465449	−	0.885075i	$-0.654107\pi$
$563$	−22.0880			−0.930899			−0.465449	+	0.885075i	$0.654107\pi$
$564$	4.51550	+	10.8312i	0.190137	+	0.456076i
$565$	1.52096	−	6.66376i	0.0639873	−	0.280347i
$566$	10.3462	−	20.0833i	0.434883	−	0.844166i
$567$	0.323244	−	0.405335i	0.0135750	−	0.0170225i
$568$	−9.34447	+	9.95217i	−0.392085	+	0.417584i
$569$	24.1819	+	19.2844i	1.01376	+	0.808446i	0.981583	−	0.191036i	$-0.0611849\pi$
$569$	24.1819	+	19.2844i	1.01376	+	0.808446i	0.0321760	+	0.999482i	$0.489756\pi$
$570$	15.4127	−	3.08411i	0.645567	−	0.129179i
$571$	22.4425	−	17.8973i	0.939188	−	0.748977i	−0.0289015	−	0.999582i	$-0.509201\pi$
$571$	22.4425	−	17.8973i	0.939188	−	0.748977i	0.968089	+	0.250605i	$0.0806295\pi$
$572$	−10.6293	+	1.83102i	−0.444431	+	0.0765587i
$573$	7.99501	−	16.6018i	0.333996	−	0.693550i
$574$	−2.38796	+	4.63535i	−0.0996716	+	0.193476i
$575$	−4.02590	−	17.6386i	−0.167891	−	0.735581i
$576$	−7.07633	−	12.5986i	−0.294847	−	0.524941i
$577$	−13.0000	+	26.9948i	−0.541197	+	1.12381i	0.433681	+	0.901067i	$0.357215\pi$
$577$	−13.0000	+	26.9948i	−0.541197	+	1.12381i	−0.974878	+	0.222741i	$0.928500\pi$
$578$	−4.89425	−	0.131715i	−0.203574	−	0.00547863i
$579$			7.99655i			0.332325i
$580$	−1.60945	+	18.6559i	−0.0668287	+	0.774646i
$581$			2.19447i			0.0910420i
$582$	−0.427662	+	15.8909i	−0.0177271	+	0.658701i
$583$	−19.9159	+	41.3558i	−0.824832	+	1.71278i
$584$	27.1878	+	8.56285i	1.12504	+	0.354333i
$585$	1.00908	+	4.42106i	0.0417203	+	0.182788i
$586$	−30.9910	−	15.9654i	−1.28023	−	0.659526i
$587$	−15.7408	+	32.6862i	−0.649693	+	1.34910i	0.272419	+	0.962179i	$0.412176\pi$
$587$	−15.7408	+	32.6862i	−0.649693	+	1.34910i	−0.922112	+	0.386923i	$0.873538\pi$
$588$	1.61579	+	9.37984i	0.0666341	+	0.386818i
$589$	−6.49362	+	5.17849i	−0.267565	+	0.213376i
$590$	−3.48137	−	17.3980i	−0.143326	−	0.716264i
$591$	−12.2670	−	9.78264i	−0.504599	−	0.402404i
$592$	−4.54409	−	7.15893i	−0.186761	−	0.294230i
$593$	−18.9883	+	23.8106i	−0.779757	+	0.977784i	0.220241	+	0.975446i	$0.429316\pi$
$593$	−18.9883	+	23.8106i	−0.779757	+	0.977784i	−0.999997	+	0.00233829i	$0.999256\pi$
$594$	24.6551	+	12.7014i	1.01161	+	0.521146i
$595$	2.31475	−	10.1416i	0.0948954	−	0.415764i
$596$	−2.21044	−	5.30213i	−0.0905433	−	0.217184i
$597$	−2.16183			−0.0884777
$598$	14.9175	−	11.2533i	0.610023	−	0.460184i
$599$	−8.98669	−	18.6610i	−0.367186	−	0.762470i	0.632743	−	0.774362i	$-0.281929\pi$
$599$	−8.98669	−	18.6610i	−0.367186	−	0.762470i	−0.999929	+	0.0118920i	$0.996215\pi$
$600$	−6.09057	−	0.492685i	−0.248647	−	0.0201138i
$601$	31.3053	−	24.9651i	1.27697	−	1.01835i	0.278649	−	0.960393i	$-0.410113\pi$
$601$	31.3053	−	24.9651i	1.27697	−	1.01835i	0.998319	−	0.0579551i	$-0.0184580\pi$
$602$	11.1052	−	13.1817i	0.452613	−	0.537248i
$603$	−3.76785	−	0.859987i	−0.153439	−	0.0350214i
$604$	−4.69906	+	16.4522i	−0.191202	+	0.669432i
$605$	2.22309	+	4.61629i	0.0903813	+	0.187679i
$606$	−12.5690	+	14.9193i	−0.510582	+	0.606056i
$607$	43.7955	−	9.99604i	1.77760	−	0.405727i	0.797358	−	0.603506i	$-0.206230\pi$
$607$	43.7955	−	9.99604i	1.77760	−	0.405727i	0.980247	+	0.197779i	$0.0633730\pi$
$608$	31.4772	−	10.2314i	1.27657	−	0.414939i
$609$	−8.74972	+	3.87127i	−0.354557	+	0.156872i
$610$	8.52019	+	2.18741i	0.344972	+	0.0885657i
$611$	−1.72559	−	7.56031i	−0.0698099	−	0.305857i
$612$	10.8226	−	7.71632i	0.437477	−	0.311914i
$613$	12.1377	+	25.2042i	0.490238	+	1.01799i	0.988536	+	0.150984i	$0.0482442\pi$
$613$	12.1377	+	25.2042i	0.490238	+	1.01799i	−0.498298	+	0.867006i	$0.666042\pi$
$614$	12.0783	+	0.325053i	0.487439	+	0.0131181i
$615$	0.958412	−	4.19908i	0.0386469	−	0.169323i
$616$	16.0263	−	6.18067i	0.645719	−	0.249026i
$617$	−5.82050	+	4.64170i	−0.234325	+	0.186868i	−0.733612	−	0.679569i	$-0.762167\pi$
$617$	−5.82050	+	4.64170i	−0.234325	+	0.186868i	0.499287	+	0.866437i	$0.333595\pi$
$618$	−5.90837	+	2.65194i	−0.237669	+	0.106677i
$619$	−18.8745	+	9.08947i	−0.758629	+	0.365337i	−0.772872	−	0.634562i	$-0.781181\pi$
$619$	−18.8745	+	9.08947i	−0.758629	+	0.365337i	0.0142428	+	0.999899i	$0.495466\pi$
$620$	−4.55590	+	1.89934i	−0.182969	+	0.0762793i
$621$	−48.0492			−1.92815
$622$	−2.44641	+	1.84550i	−0.0980920	+	0.0739978i
$623$	−17.2041	−	3.92672i	−0.689268	−	0.157321i
$624$	−2.11165	−	5.94729i	−0.0845335	−	0.238082i
$625$	−6.98552	+	8.75956i	−0.279421	+	0.350383i
$626$	12.0825	−	47.0625i	0.482913	−	1.88100i
$627$	−14.8854	+	18.6657i	−0.594466	+	0.745437i
$628$	−23.2535	−	1.25251i	−0.927914	−	0.0499808i
$629$	6.09806	−	4.86304i	0.243146	−	0.193902i
$630$	−2.95724	−	6.58855i	−0.117819	−	0.262494i
$631$	31.7487	+	15.2894i	1.26389	+	0.608660i	0.941202	−	0.337844i	$-0.109698\pi$
$631$	31.7487	+	15.2894i	1.26389	+	0.608660i	0.322693	+	0.946504i	$0.395412\pi$
$632$	−4.70528	+	3.16738i	−0.187166	+	0.125992i
$633$	3.04299	+	13.3322i	0.120948	+	0.529907i
$634$	−1.60477	−	8.01974i	−0.0637334	−	0.318505i
$635$	−12.3925	−	5.96791i	−0.491781	−	0.236829i
$636$	−25.8253	−	7.37619i	−1.02404	−	0.292485i
$637$		−	6.28981i		−	0.249211i
$638$	−16.3875	−	23.2460i	−0.648788	−	0.920318i
$639$	−8.71788			−0.344874
$640$	19.6572	−	0.709125i	0.777018	−	0.0280306i
$641$	−6.71943	+	13.9530i	−0.265401	+	0.551112i	−0.990497	−	0.137537i	$-0.956081\pi$
$641$	−6.71943	+	13.9530i	−0.265401	+	0.551112i	0.725095	+	0.688649i	$0.241796\pi$
$642$	−25.6078	+	5.12417i	−1.01066	+	0.202235i
$643$	8.52414	−	1.94558i	0.336159	−	0.0767261i	−0.0511095	−	0.998693i	$-0.516276\pi$
$643$	8.52414	−	1.94558i	0.336159	−	0.0767261i	0.387269	+	0.921967i	$0.373419\pi$
$644$	−19.7786	+	22.2344i	−0.779384	+	0.876158i
$645$	−6.17730	+	12.8273i	−0.243231	+	0.505074i
$646$	12.4671	+	27.7759i	0.490510	+	1.09283i
$647$	−14.5113	−	18.1966i	−0.570498	−	0.715382i	0.409961	−	0.912103i	$-0.365542\pi$
$647$	−14.5113	−	18.1966i	−0.570498	−	0.715382i	−0.980460	+	0.196721i	$0.936971\pi$
$648$	−0.270891	+	0.860105i	−0.0106416	+	0.0337881i
$649$	21.0700	+	16.8028i	0.827071	+	0.659567i
$650$	3.91116	+	1.00412i	0.153408	+	0.0393850i
$651$	−1.97185	−	1.57250i	−0.0772828	−	0.0616309i
$652$	16.7685	−	18.8506i	0.656706	−	0.738248i
$653$	−2.82584	+	12.3808i	−0.110584	+	0.484499i	0.889060	+	0.457791i	$0.151359\pi$
$653$	−2.82584	+	12.3808i	−0.110584	+	0.484499i	−0.999643	+	0.0267073i	$0.991498\pi$
$654$	0.929029	−	0.700833i	0.0363279	−	0.0274047i
$655$			22.0197i			0.860382i
$656$	0.974204	−	9.01702i	0.0380363	−	0.352055i
$657$	7.89794	+	16.4002i	0.308128	+	0.639834i
$658$	5.05707	+	11.2668i	0.197145	+	0.439227i
$659$	8.99788	+	11.2830i	0.350508	+	0.439523i	0.925564	−	0.378591i	$-0.123591\pi$
$659$	8.99788	+	11.2830i	0.350508	+	0.439523i	−0.575056	+	0.818114i	$0.695020\pi$
$660$	−11.5526	+	8.23679i	−0.449683	+	0.320617i
$661$	−27.9108	−	6.37046i	−1.08561	−	0.247782i	−0.357961	−	0.933737i	$-0.616528\pi$
$661$	−27.9108	−	6.37046i	−1.08561	−	0.247782i	−0.727644	+	0.685954i	$0.759385\pi$
$662$	−2.66598	−	0.0717476i	−0.103616	−	0.00278855i
$663$	5.23032	−	2.51879i	0.203129	−	0.0978217i
$664$	−1.37344	−	3.56130i	−0.0532999	−	0.138205i
$665$	16.1272	−	3.68093i	0.625386	−	0.142740i
$666$	1.34651	−	5.24481i	0.0521764	−	0.203232i
$667$	43.6823	+	22.7995i	1.69139	+	0.882800i
$668$	2.61905	+	1.43968i	0.101334	+	0.0557030i
$669$	−0.204796	−	0.897270i	−0.00791787	−	0.0346905i
$670$	3.38959	−	4.02341i	0.130951	−	0.155438i
$671$	−12.0378	+	5.79710i	−0.464714	+	0.223794i
$672$	5.15590	+	8.62735i	0.198893	+	0.332807i
$673$	4.70424	−	20.6106i	0.181335	−	0.794481i	−0.799661	−	0.600452i	$-0.794987\pi$
$673$	4.70424	−	20.6106i	0.181335	−	0.794481i	0.980996	−	0.194029i	$-0.0621556\pi$
$674$	−5.91994	−	4.98735i	−0.228028	−	0.192106i
$675$	−6.47386	−	8.11797i	−0.249179	−	0.312461i
$676$	−3.70581	−	21.5126i	−0.142531	−	0.827408i
$677$	−11.7337	+	5.65067i	−0.450964	+	0.217173i	−0.645558	−	0.763711i	$-0.723375\pi$
$677$	−11.7337	+	5.65067i	−0.450964	+	0.217173i	0.194594	+	0.980884i	$0.437661\pi$
$678$	−4.84955	+	3.65836i	−0.186246	+	0.140498i
$679$			16.7298i			0.642029i
$680$	2.59076	+	17.9070i	0.0993513	+	0.686701i
$681$	20.3062	+	4.63476i	0.778136	+	0.177604i
$682$	3.43346	−	6.66479i	0.131474	−	0.255208i
$683$	−33.5805	−	26.7795i	−1.28492	−	1.02469i	−0.997766	−	0.0668055i	$-0.978719\pi$
$683$	−33.5805	−	26.7795i	−1.28492	−	1.02469i	−0.287154	−	0.957884i	$-0.592709\pi$
$684$	18.5226	+	10.1818i	0.708228	+	0.389311i
$685$	−21.4968	+	26.9561i	−0.821349	+	1.02994i
$686$	5.12403	+	25.6071i	0.195636	+	0.977683i
$687$	16.3553	+	20.5089i	0.623992	+	0.782462i
$688$	−9.77206	+	28.3424i	−0.372556	+	1.08054i
$689$	15.9910	+	7.70088i	0.609210	+	0.293380i
$690$	11.2571	−	21.8516i	0.428551	−	0.831874i
$691$	−9.15533	+	2.08964i	−0.348285	+	0.0794938i	−0.393085	−	0.919502i	$-0.628592\pi$
$691$	−9.15533	+	2.08964i	−0.348285	+	0.0794938i	0.0447998	+	0.998996i	$0.485735\pi$
$692$	−0.0957563	+	1.77776i	−0.00364011	+	0.0675801i
$693$	9.88284	+	4.75932i	0.375418	+	0.180792i
$694$	0.597105	−	22.1871i	0.0226658	−	0.842210i
$695$	−22.1342			−0.839598
$696$	11.7766	−	11.7586i	0.446391	−	0.445710i
$697$	8.34258			0.315998
$698$	−0.601846	+	22.3633i	−0.0227802	+	0.846462i
$699$	−17.2294	−	8.29725i	−0.651676	−	0.313831i
$700$	−6.42137	−	0.345878i	−0.242705	−	0.0130730i
$701$	−36.5314	+	8.33806i	−1.37977	+	0.314924i	−0.847117	−	0.531407i	$-0.821663\pi$
$701$	−36.5314	+	8.33806i	−1.37977	+	0.314924i	−0.532657	+	0.846331i	$0.678806\pi$
$702$	4.91127	−	9.53342i	0.185364	−	0.359816i
$703$	11.1749	+	5.38153i	0.421468	+	0.202968i
$704$	−22.1400	+	20.0606i	−0.834434	+	0.756063i
$705$	−6.36023	−	7.97547i	−0.239540	−	0.300374i
$706$	8.54449	+	42.7007i	0.321576	+	1.60706i
$707$	−12.8005	+	16.0513i	−0.481413	+	0.603673i
$708$	−7.59610	+	13.8187i	−0.285479	+	0.519339i
$709$	4.23983	+	3.38115i	0.159230	+	0.126982i	0.699864	−	0.714276i	$-0.253244\pi$
$709$	4.23983	+	3.38115i	0.159230	+	0.126982i	−0.540634	+	0.841258i	$0.681815\pi$
$710$	5.43479	−	10.5496i	0.203964	−	0.395921i
$711$	−3.53135	−	0.806007i	−0.132436	−	0.0302276i
$712$	30.3773	−	4.39496i	1.13844	−	0.164708i
$713$			12.9887i			0.486430i
$714$	−7.38052	+	5.56765i	−0.276209	+	0.208364i
$715$	8.44755	−	4.06813i	0.315921	−	0.152139i
$716$	28.0326	−	4.82896i	1.04763	−	0.180467i
$717$	17.5379	+	21.9918i	0.654965	+	0.821300i
$718$	−8.05409	−	6.78530i	−0.300576	−	0.253225i
$719$	−4.00086	+	17.5289i	−0.149207	+	0.653718i	0.843899	+	0.536501i	$0.180254\pi$
$719$	−4.00086	+	17.5289i	−0.149207	+	0.653718i	−0.993106	+	0.117217i	$0.962603\pi$
$720$	8.92269	+	8.84139i	0.332529	+	0.329499i
$721$	−6.14066	+	2.95718i	−0.228690	+	0.110131i
$722$	−13.8811	+	16.4767i	−0.516601	+	0.613201i
$723$	−6.95311	−	30.4636i	−0.258589	−	1.13295i
$724$	−25.2882	+	46.0039i	−0.939828	+	1.70972i
$725$	2.03349	+	10.4520i	0.0755220	+	0.388179i
$726$	1.13235	−	4.41061i	0.0420254	−	0.163693i
$727$	5.11001	−	1.16633i	0.189520	−	0.0432566i	−0.126707	−	0.991940i	$-0.540441\pi$
$727$	5.11001	−	1.16633i	0.189520	−	0.0432566i	0.316227	+	0.948683i	$0.397584\pi$
$728$	−2.38988	−	6.19690i	−0.0885750	−	0.229672i
$729$	−16.0268	+	7.71811i	−0.593586	+	0.285856i
$730$	−24.7698	−	0.666612i	−0.916772	−	0.0246724i
$731$	−26.8854	−	6.13642i	−0.994393	−	0.226964i
$732$	−4.53853	−	6.36554i	−0.167749	−	0.235277i
$733$	−24.8431	−	31.1522i	−0.917600	−	1.15063i	−0.988206	−	0.153130i	$-0.951065\pi$
$733$	−24.8431	−	31.1522i	−0.917600	−	1.15063i	0.0706059	−	0.997504i	$-0.477507\pi$
$734$	12.9778	+	28.9138i	0.479019	+	1.06723i
$735$	−3.58994	−	7.45459i	−0.132417	−	0.274967i
$736$	18.1819	−	48.4618i	0.670194	−	1.78633i
$737$			7.99076i			0.294343i
$738$	4.62370	−	3.48799i	0.170201	−	0.128395i
$739$	−7.75267	+	33.9667i	−0.285187	+	1.24948i	0.605860	+	0.795572i	$0.292829\pi$
$739$	−7.75267	+	33.9667i	−0.285187	+	1.24948i	−0.891046	+	0.453913i	$0.850028\pi$
$740$	5.50740	+	4.89909i	0.202456	+	0.180094i
$741$	7.21748	+	5.75575i	0.265141	+	0.211443i
$742$	−27.3777	−	7.02875i	−1.00507	−	0.258034i
$743$	0.230682	+	0.183963i	0.00846291	+	0.00674895i	0.627712	−	0.778446i	$-0.283992\pi$
$743$	0.230682	+	0.183963i	0.00846291	+	0.00674895i	−0.619249	+	0.785195i	$0.712563\pi$
$744$	4.18418	+	1.31781i	0.153400	+	0.0483134i
$745$	3.11348	+	3.90418i	0.114069	+	0.143038i
$746$	17.3937	+	38.7521i	0.636828	+	1.41881i
$747$	1.05760	−	2.19612i	0.0386954	−	0.0803519i
$748$	−20.5336	−	18.2656i	−0.750782	−	0.667856i
$749$	−26.7949	+	6.11576i	−0.979065	+	0.223465i
$750$	18.3795	−	3.67778i	0.671126	−	0.134294i
$751$	18.5461	−	38.5113i	0.676756	−	1.40530i	−0.225563	−	0.974229i	$-0.572422\pi$
$751$	18.5461	−	38.5113i	0.676756	−	1.40530i	0.902319	−	0.431070i	$-0.141864\pi$
$752$	−15.2584	−	15.1194i	−0.556416	−	0.551346i
$753$	23.7533			0.865620
$754$	−8.98855	+	6.33657i	−0.327344	+	0.230764i
$755$		−	14.8738i		−	0.541314i
$756$	−4.69039	+	16.4219i	−0.170588	+	0.597258i
$757$	15.5605	+	7.49353i	0.565555	+	0.272357i	0.694737	−	0.719264i	$-0.255521\pi$
$757$	15.5605	+	7.49353i	0.565555	+	0.272357i	−0.129182	+	0.991621i	$0.541235\pi$
$758$	−2.91829	−	14.5840i	−0.105997	−	0.529715i
$759$	8.30794	+	36.3995i	0.301559	+	1.32122i
$760$	−23.8683	+	16.0670i	−0.865793	+	0.582813i
$761$	−34.4730	−	16.6013i	−1.24964	−	0.601797i	−0.312227	−	0.950007i	$-0.601075\pi$
$761$	−34.4730	−	16.6013i	−1.24964	−	0.601797i	−0.937416	+	0.348211i	$0.886789\pi$
$762$	5.00572	+	11.1524i	0.181338	+	0.404010i
$763$	0.957518	−	0.763595i	0.0346645	−	0.0276440i
$764$	−1.81419	+	33.6811i	−0.0656350	+	1.21854i
$765$	−7.20409	+	9.03364i	−0.260464	+	0.326612i
$766$	11.9086	−	46.3852i	0.430275	−	1.67597i
$767$	6.49714	−	8.14715i	0.234598	−	0.294177i
$768$	−13.7668	−	10.7740i	−0.496767	−	0.388773i
$769$	2.17816	+	0.497151i	0.0785465	+	0.0179277i	0.261614	−	0.965173i	$-0.415745\pi$
$769$	2.17816	+	0.497151i	0.0785465	+	0.0179277i	−0.183067	+	0.983100i	$0.558603\pi$
$770$	−11.9204	+	8.99238i	−0.429580	+	0.324063i
$771$	23.1153			0.832476
$772$	−5.63254	−	13.5106i	−0.202719	−	0.486258i
$773$	−14.9536	+	7.20125i	−0.537842	+	0.259011i	−0.683027	−	0.730393i	$-0.739337\pi$
$773$	−14.9536	+	7.20125i	−0.537842	+	0.259011i	0.145184	+	0.989405i	$0.453622\pi$
$774$	−17.4663	+	7.83967i	−0.627813	+	0.281791i
$775$	−2.19445	+	1.75002i	−0.0788270	+	0.0628625i
$776$	−10.4706	−	27.1499i	−0.375871	−	0.974624i
$777$	−0.838087	+	3.67190i	−0.0300662	+	0.131729i
$778$	−37.0235	−	0.996386i	−1.32736	−	0.0357222i
$779$	5.75609	+	11.9526i	0.206233	+	0.428248i
$780$	3.18492	+	4.46704i	0.114039	+	0.159946i
$781$	4.01096	+	17.5732i	0.143524	+	0.628818i
$782$	46.1162	+	11.8395i	1.64911	+	0.423381i
$783$	28.2643	+	0.911708i	1.01008	+	0.0325818i
$784$	−9.33686	−	14.7097i	−0.333459	−	0.525345i
$785$	19.7359	−	4.50460i	0.704406	−	0.160776i
$786$	12.6088	−	14.9665i	0.449742	−	0.533839i
$787$	2.54785	+	5.29066i	0.0908209	+	0.188592i	0.941431	−	0.337205i	$-0.109482\pi$
$787$	2.54785	+	5.29066i	0.0908209	+	0.188592i	−0.850610	+	0.525797i	$0.823767\pi$
$788$	27.6165	+	7.88777i	0.983796	+	0.280990i
$789$	−30.6478	−	6.99515i	−1.09109	−	0.249034i
$790$	3.17683	−	3.77087i	0.113026	−	0.134161i
$791$	−4.99826	+	3.98598i	−0.177718	+	0.141725i
$792$	−19.0171	−	1.53835i	−0.675742	−	0.0546629i
$793$	2.24157	+	4.65466i	0.0796003	+	0.165292i
$794$	−4.48458	+	3.38303i	−0.159152	+	0.120059i
$795$	23.3477			0.828056
$796$	3.65253	−	1.52273i	0.129460	−	0.0539717i
$797$	8.43904	−	36.9739i	0.298926	−	1.30968i	−0.572803	−	0.819693i	$-0.694144\pi$
$797$	8.43904	−	36.9739i	0.298926	−	1.30968i	0.871729	−	0.489988i	$-0.162999\pi$
$798$	−13.0692	−	6.73279i	−0.462645	−	0.238338i
$799$	12.3195	−	15.4481i	0.435831	−	0.546515i
$800$	10.6374	−	3.45760i	0.376089	−	0.122245i
$801$	15.3246	+	12.2210i	0.541469	+	0.431807i
$802$	5.54374	+	27.7046i	0.195756	+	0.978282i
$803$	29.4253	−	23.4659i	1.03840	−	0.828093i
$804$	−4.60773	+	0.793737i	−0.162502	+	0.0279929i
$805$	11.2241	−	23.3071i	0.395597	−	0.821466i
$806$	−2.57708	−	1.32762i	−0.0907736	−	0.0467633i
$807$	−2.28820	−	10.0253i	−0.0805486	−	0.352906i
$808$	10.7274	−	34.0603i	0.377387	−	1.19824i
$809$	−8.43122	+	17.5076i	−0.296426	+	0.615535i	−0.994986	−	0.100017i	$-0.968110\pi$
$809$	−8.43122	+	17.5076i	−0.296426	+	0.615535i	0.698560	+	0.715552i	$0.253825\pi$
$810$	0.0210887	−	0.783610i	0.000740982	−	0.0275332i
$811$		−	17.6441i		−	0.619567i	−0.950807	−	0.309784i	$-0.899743\pi$
$811$		−	17.6441i		−	0.619567i	0.950807	−	0.309784i	$-0.100257\pi$
$812$	12.0563	−	12.7038i	0.423094	−	0.445815i
$813$		−	5.73213i		−	0.201034i
$814$	−11.1918	−	0.301197i	−0.392273	−	0.0105569i
$815$	−9.51593	+	19.7600i	−0.333328	+	0.692164i
$816$	8.49288	−	13.6547i	0.297310	−	0.478009i
$817$	−9.75818	−	42.7534i	−0.341396	−	1.49575i
$818$	−0.214961	+	0.417267i	−0.00751592	+	0.0145894i
$819$	1.84029	−	3.82140i	0.0643049	−	0.133531i
$820$	1.33842	+	7.76965i	0.0467395	+	0.271328i
$821$	−41.4989	+	33.0942i	−1.44832	+	1.15500i	−0.489138	+	0.872206i	$0.662689\pi$
$821$	−41.4989	+	33.0942i	−1.44832	+	1.15500i	−0.959182	+	0.282791i	$0.908740\pi$
$822$	30.0466	−	6.01238i	1.04799	−	0.209706i
$823$	−24.9802	−	19.9210i	−0.870753	−	0.694403i	0.0824948	−	0.996591i	$-0.473711\pi$
$823$	−24.9802	−	19.9210i	−0.870753	−	0.694403i	−0.953248	+	0.302189i	$0.902283\pi$
$824$	8.11457	−	8.64229i	0.282684	−	0.301068i
$825$	−5.03037	+	6.30788i	−0.175135	+	0.219612i
$826$	−7.60003	+	14.7527i	−0.264439	+	0.513311i
$827$	0.447068	−	1.95873i	0.0155461	−	0.0681119i	−0.966560	−	0.256441i	$-0.917450\pi$
$827$	0.447068	−	1.95873i	0.0155461	−	0.0681119i	0.982106	+	0.188329i	$0.0603072\pi$
$828$	30.5090	−	12.7191i	1.06026	−	0.442020i
$829$	15.6446			0.543358			0.271679	−	0.962388i	$-0.412421\pi$
$829$	15.6446			0.543358			0.271679	+	0.962388i	$0.412421\pi$
$830$	1.99825	+	2.64889i	0.0693602	+	0.0919444i
$831$	−7.36840	−	15.3006i	−0.255607	−	0.530773i
$832$	7.75685	+	8.56090i	0.268920	+	0.296796i
$833$	12.5299	−	9.99223i	0.434134	−	0.346210i
$834$	15.0444	+	12.6744i	0.520943	+	0.438877i
$835$	−2.53290	−	0.578118i	−0.0876546	−	0.0200066i
$836$	12.0021	−	42.0216i	0.415103	−	1.45335i
$837$	3.23431	+	6.71611i	0.111794	+	0.232143i
$838$	32.2628	+	27.1803i	1.11450	+	0.938928i
$839$	−3.09787	+	0.707068i	−0.106950	+	0.0244107i	−0.275661	−	0.961255i	$-0.588897\pi$
$839$	−3.09787	+	0.707068i	−0.106950	+	0.0244107i	0.168711	+	0.985666i	$0.446040\pi$
$840$	−6.36937	−	5.98044i	−0.219764	−	0.206345i
$841$	−25.2629	−	14.2403i	−0.871134	−	0.491046i
$842$	7.69850	−	29.9864i	0.265308	−	1.03340i
$843$	−4.47952	−	19.6260i	−0.154283	−	0.675957i
$844$	−14.5321	−	20.3821i	−0.500216	−	0.701581i
$845$	8.23350	+	17.0970i	0.283241	+	0.588156i
$846$	0.369035	−	13.7125i	0.0126877	−	0.471446i
$847$	1.06638	−	4.67212i	0.0366413	−	0.160536i
$848$	48.8289	−	5.72813i	1.67679	−	0.196705i
$849$	13.6460	−	10.8824i	0.468331	−	0.373481i
$850$	4.21312	+	9.38657i	0.144509	+	0.321957i
$851$	17.4756	−	8.41583i	0.599057	−	0.288491i
$852$	−9.73484	+	4.05843i	−0.333510	+	0.139039i
$853$	4.63887			0.158832			0.0794160	−	0.996842i	$-0.474694\pi$
$853$	4.63887			0.158832			0.0794160	+	0.996842i	$0.474694\pi$
$854$	−4.95486	−	6.56820i	−0.169552	−	0.224759i
$855$	−17.9133	−	4.08859i	−0.612622	−	0.139827i
$856$	39.6565	−	26.6950i	1.35543	−	0.912415i
$857$	−15.5456	+	19.4936i	−0.531029	+	0.665889i	−0.972910	−	0.231185i	$-0.925740\pi$
$857$	−15.5456	+	19.4936i	−0.531029	+	0.665889i	0.441881	+	0.897074i	$0.354311\pi$
$858$	−8.07117	−	2.07213i	−0.275545	−	0.0707415i
$859$	10.8578	−	13.6152i	0.370462	−	0.464545i	−0.561301	−	0.827612i	$-0.689699\pi$
$859$	10.8578	−	13.6152i	0.370462	−	0.464545i	0.931763	+	0.363067i	$0.118270\pi$
$860$	1.40172	−	26.0235i	0.0477983	−	0.887396i
$861$	−3.14958	+	2.51171i	−0.107337	+	0.0855988i
$862$	−16.9818	+	7.62221i	−0.578403	+	0.259613i
$863$	−49.8837	−	24.0227i	−1.69806	−	0.817744i	−0.994217	−	0.107390i	$-0.965751\pi$
$863$	−49.8837	−	24.0227i	−1.69806	−	0.817744i	−0.703845	−	0.710353i	$-0.748535\pi$
$864$	−2.66607	−	29.5858i	−0.0907017	−	1.00653i
$865$	−0.344382	−	1.50884i	−0.0117093	−	0.0513020i
$866$	−25.1371	+	5.02998i	−0.854192	+	0.170926i
$867$	−3.40798	−	1.64120i	−0.115741	−	0.0557380i
$868$	4.43917	+	1.26791i	0.150675	+	0.0430356i
$869$			7.48919i			0.254053i
$870$	−7.03646	+	12.6403i	−0.238558	+	0.428545i
$871$	3.08979			0.104694
$872$	−1.07600	+	1.83848i	−0.0364380	+	0.0622587i
$873$	8.06268	−	16.7423i	0.272881	−	0.566642i
$874$	14.8557	+	74.2408i	0.502503	+	2.51123i
$875$	19.2316	−	4.38948i	0.650146	−	0.148392i
$876$	16.4540	+	14.6367i	0.555931	+	0.494527i
$877$	−0.118996	+	0.247097i	−0.00401820	+	0.00834388i	−0.902968	−	0.429707i	$-0.858617\pi$
$877$	−0.118996	+	0.247097i	−0.00401820	+	0.00834388i	0.898950	+	0.438051i	$0.144331\pi$
$878$	−20.6557	+	9.27123i	−0.697098	+	0.312889i
$879$	−16.7928	−	21.0575i	−0.566406	−	0.710251i
$880$	13.7170	−	22.0538i	0.462398	−	0.743434i
$881$	−10.2140	−	8.14542i	−0.344119	−	0.274426i	0.436144	−	0.899877i	$-0.356344\pi$
$881$	−10.2140	−	8.14542i	−0.344119	−	0.274426i	−0.780264	+	0.625451i	$0.784915\pi$
$882$	2.76672	−	10.7767i	0.0931603	−	0.362869i
$883$	36.6376	+	29.2175i	1.23295	+	0.983248i	0.999942	+	0.0107745i	$0.00342969\pi$
$883$	36.6376	+	29.2175i	1.23295	+	0.983248i	0.233012	+	0.972474i	$0.425142\pi$
$884$	−7.06276	+	7.93973i	−0.237546	+	0.267042i
$885$	3.05028	−	13.3642i	0.102534	−	0.449231i
$886$	−15.2650	−	20.2354i	−0.512838	−	0.679822i
$887$			50.8066i			1.70592i	0.521977	+	0.852960i	$0.325195\pi$
$887$			50.8066i			1.70592i	−0.521977	+	0.852960i	$0.674805\pi$
$888$	−0.938023	−	6.48347i	−0.0314780	−	0.217571i
$889$	5.58188	+	11.5909i	0.187210	+	0.388746i
$890$	−24.3423	+	10.9259i	−0.815954	+	0.366237i
$891$	0.742359	+	0.930889i	0.0248700	+	0.0311859i
$892$	0.978026	+	1.37174i	0.0327467	+	0.0459291i
$893$	30.6329	+	6.99177i	1.02509	+	0.233971i
$894$	0.119395	−	4.43645i	0.00399317	−	0.148377i
$895$	−22.2788	+	10.7289i	−0.744698	+	0.358628i
$896$	−14.7880	−	10.9447i	−0.494034	−	0.365638i
$897$	14.0746	−	3.21243i	0.469937	−	0.107260i
$898$	−28.0225	−	7.19429i	−0.935123	−	0.240077i
$899$	0.246453	−	7.64040i	0.00821968	−	0.254822i
$900$	6.25951	+	3.44083i	0.208650	+	0.114694i
$901$	10.0631	+	44.0895i	0.335252	+	1.46883i
$902$	−9.15825	−	7.71552i	−0.304936	−	0.256899i
$903$	11.9976	−	5.77773i	0.399255	−	0.192271i
$904$	5.61675	−	9.59689i	0.186810	−	0.319188i
$905$	10.1547	−	44.4906i	0.337553	−	1.47892i
$906$	−8.51697	+	10.1096i	−0.282957	+	0.335868i
$907$	−1.23312	−	1.54629i	−0.0409451	−	0.0513436i	0.760937	−	0.648825i	$-0.224739\pi$
$907$	−1.23312	−	1.54629i	−0.0409451	−	0.0513436i	−0.801882	+	0.597482i	$0.796168\pi$
$908$	−37.5731	+	6.47242i	−1.24691	+	0.214795i
$909$	20.5459	−	9.89437i	0.681464	−	0.328176i
$910$	3.47709	+	4.60925i	0.115264	+	0.152795i
$911$		−	40.4319i		−	1.33957i	−0.742555	−	0.669785i	$-0.766386\pi$
$911$		−	40.4319i		−	1.33957i	0.742555	−	0.669785i	$-0.233614\pi$
$912$	25.4232	+	2.74674i	0.841847	+	0.0909536i
$913$	−4.91344	−	1.12146i	−0.162611	−	0.0371150i
$914$	−22.2500	−	11.4624i	−0.735964	−	0.379142i
$915$	5.31334	+	4.23725i	0.175654	+	0.140079i
$916$	−42.0790	−	23.1307i	−1.39033	−	0.764259i
$917$	12.8410	−	16.1021i	0.424048	−	0.531740i
$918$	26.7936	−	5.36146i	0.884321	−	0.176955i
$919$	−1.61146	−	2.02070i	−0.0531570	−	0.0666568i	0.754542	−	0.656251i	$-0.227859\pi$
$919$	−1.61146	−	2.02070i	−0.0531570	−	0.0666568i	−0.807699	+	0.589595i	$0.799288\pi$
$920$	−3.62794	+	44.8486i	−0.119610	+	1.47862i
$921$	8.41038	+	4.05023i	0.277132	+	0.133460i
$922$	−50.1675	−	25.8445i	−1.65218	−	0.851142i
$923$	6.79503	−	1.55092i	0.223661	−	0.0510492i
$924$	13.2513	+	0.713762i	0.435936	+	0.0234811i
$925$	3.77643	+	1.81863i	0.124168	+	0.0597962i
$926$	44.6691	+	1.20215i	1.46792	+	0.0395050i
$927$	7.57045			0.248646
$928$	−11.6148	+	28.1620i	−0.381274	+	0.924462i
$929$	19.5344			0.640901			0.320451	−	0.947265i	$-0.396166\pi$
$929$	19.5344			0.640901			0.320451	+	0.947265i	$0.396166\pi$
$930$	−3.81205	−	0.102591i	−0.125002	−	0.00336409i
$931$	22.9613	+	11.0576i	0.752526	+	0.362397i
$932$	34.9544	+	1.88277i	1.14497	+	0.0616722i
$933$	−2.30817	+	0.526825i	−0.0755661	+	0.0172475i
$934$	1.19136	+	0.613747i	0.0389826	+	0.0200824i
$935$	21.5242	+	10.3655i	0.703915	+	0.338988i
$936$	−0.594834	+	7.35334i	−0.0194428	+	0.240351i
$937$	−7.94259	−	9.95970i	−0.259473	−	0.325369i	0.634982	−	0.772527i	$-0.281008\pi$
$937$	−7.94259	−	9.95970i	−0.259473	−	0.325369i	−0.894455	+	0.447158i	$0.852436\pi$
$938$	−4.82496	+	0.965485i	−0.157541	+	0.0315242i
$939$	23.4051	−	29.3490i	0.763795	−	0.957769i
$940$	16.3637	+	8.99505i	0.533724	+	0.293386i
$941$	−0.299488	−	0.238834i	−0.00976303	−	0.00778575i	0.618596	−	0.785709i	$-0.287702\pi$
$941$	−0.299488	−	0.238834i	−0.00976303	−	0.00778575i	−0.628359	+	0.777923i	$0.716273\pi$
$942$	−15.9937	−	8.23936i	−0.521102	−	0.268453i
$943$	20.2263	+	4.61653i	0.658661	+	0.150335i
$944$	3.10054	−	28.6980i	0.100914	−	0.934039i
$945$		−	14.8464i		−	0.482952i
$946$	23.8389	+	31.6010i	0.775069	+	1.02744i
$947$	−18.5690	+	8.94237i	−0.603412	+	0.290588i	−0.710539	−	0.703657i	$-0.751549\pi$
$947$	−18.5690	+	8.94237i	−0.603412	+	0.290588i	0.107127	+	0.994245i	$0.465835\pi$
$948$	−4.31851	+	0.743915i	−0.140259	+	0.0241612i
$949$	−9.07356	−	11.3779i	−0.294540	−	0.369342i
$950$	−10.5415	+	12.5126i	−0.342011	+	0.405964i
$951$	1.40605	−	6.16031i	0.0455943	−	0.199762i
$952$	8.54811	−	14.6055i	0.277046	−	0.473366i
$953$	−29.0355	+	13.9827i	−0.940551	+	0.452946i	−0.840364	−	0.542023i	$-0.817659\pi$
$953$	−29.0355	+	13.9827i	−0.940551	+	0.452946i	−0.100188	+	0.994969i	$0.531944\pi$
$954$	24.0109	+	20.2284i	0.777381	+	0.654917i
$955$	−6.52462	−	28.5862i	−0.211132	−	0.925029i
$956$	−45.1217	−	24.8033i	−1.45934	−	0.802195i
$957$	−4.19636	−	21.5691i	−0.135649	−	0.697230i
$958$	−42.6695	−	10.9547i	−1.37859	−	0.353929i
$959$	31.4395	−	7.17585i	1.01523	−	0.231720i
$960$	14.0795	+	5.71899i	0.454413	+	0.184580i
$961$	−26.1145	+	12.5761i	−0.842404	+	0.405681i
$962$	−0.116464	+	4.32754i	−0.00375495	+	0.139525i
$963$	29.7625	+	6.79309i	0.959083	+	0.218904i
$964$	33.2053	+	46.5724i	1.06947	+	1.49999i
$965$	7.93361	+	9.94843i	0.255392	+	0.320251i
$966$	−20.9748	+	9.41446i	−0.674855	+	0.302905i
$967$	−10.8347	−	22.4984i	−0.348419	−	0.723500i	0.650946	−	0.759124i	$-0.274372\pi$
$967$	−10.8347	−	22.4984i	−0.348419	−	0.723500i	−0.999365	+	0.0356242i	$0.988658\pi$
$968$	1.19354	+	8.24957i	0.0383618	+	0.265151i
$969$			23.5216i			0.755624i
$970$	15.2338	+	20.1941i	0.489128	+	0.648393i
$971$	12.1268	−	53.1309i	0.389167	−	1.70505i	−0.278368	−	0.960475i	$-0.589793\pi$
$971$	12.1268	−	53.1309i	0.389167	−	1.70505i	0.667535	−	0.744579i	$-0.267349\pi$
$972$	20.4781	−	23.0209i	0.656837	−	0.738395i
$973$	16.1858	+	12.9078i	0.518894	+	0.413804i
$974$	−1.03828	+	4.04419i	−0.0332685	+	0.129584i
$975$	2.43907	+	1.94509i	0.0781128	+	0.0622929i
$976$	12.1518	+	7.55814i	0.388970	+	0.241930i
$977$	−0.358049	−	0.448979i	−0.0114550	−	0.0143641i	0.776071	−	0.630646i	$-0.217210\pi$
$977$	−0.358049	−	0.448979i	−0.0114550	−	0.0143641i	−0.787526	+	0.616281i	$0.788638\pi$
$978$	17.7828	−	7.98170i	0.568630	−	0.255227i
$979$	17.5840	−	36.5135i	0.561986	−	1.16698i
$980$	11.3162	+	10.0663i	0.361483	+	0.321556i
$981$	−1.32624	+	0.302706i	−0.0423437	+	0.00966467i
$982$	−3.39840	−	16.9834i	−0.108447	−	0.541961i
$983$	6.43805	−	13.3687i	0.205342	−	0.426397i	−0.772710	−	0.634760i	$-0.781099\pi$
$983$	6.43805	−	13.3687i	0.205342	−	0.426397i	0.978052	+	0.208363i	$0.0668134\pi$
$984$	3.53931	−	6.04734i	0.112829	−	0.192782i
$985$	−24.9669			−0.795513
$986$	−26.9025	−	7.83947i	−0.856751	−	0.249659i
$987$			9.54118i			0.303699i
$988$	−16.2485	−	4.64088i	−0.516934	−	0.147646i
$989$	−61.7873	−	29.7552i	−1.96472	−	0.946159i
$990$	16.2631	−	3.25428i	0.516875	−	0.103428i
$991$	0.590022	+	2.58506i	0.0187427	+	0.0821170i	0.983434	−	0.181265i	$-0.0580192\pi$
$991$	0.590022	+	2.58506i	0.0187427	+	0.0821170i	−0.964692	+	0.263382i	$0.915162\pi$
$992$	−7.99764	+	0.720694i	−0.253925	+	0.0228821i
$993$	−1.85639	−	0.893989i	−0.0589106	−	0.0283699i
$994$	−10.1264	+	4.54518i	−0.321189	+	0.144164i
$995$	−2.68951	+	2.14481i	−0.0852632	+	0.0679951i
$996$	0.158609	−	2.94465i	0.00502572	−	0.0933047i
$997$	−15.1367	+	18.9809i	−0.479385	+	0.601130i	−0.961441	−	0.275010i	$-0.911319\pi$
$997$	−15.1367	+	18.9809i	−0.479385	+	0.601130i	0.482056	+	0.876140i	$0.339890\pi$
$998$	18.7845	+	4.82261i	0.594614	+	0.152657i
$999$	6.94057	−	8.70320i	0.219590	−	0.275357i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	232.2.o.a.109.1	✓	168
4.3	odd	2		928.2.be.a.689.18		168
8.3	odd	2		928.2.be.a.689.11		168
8.5	even	2	inner	232.2.o.a.109.6	yes	168
29.4	even	14	inner	232.2.o.a.149.6	yes	168
116.91	odd	14		928.2.be.a.497.11		168
232.91	odd	14		928.2.be.a.497.18		168
232.149	even	14	inner	232.2.o.a.149.1	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
232.2.o.a.109.1	✓	168	1.1	even	1	trivial
232.2.o.a.109.6	yes	168	8.5	even	2	inner
232.2.o.a.149.1	yes	168	232.149	even	14	inner
232.2.o.a.149.6	yes	168	29.4	even	14	inner
928.2.be.a.497.11		168	116.91	odd	14
928.2.be.a.497.18		168	232.91	odd	14
928.2.be.a.689.11		168	8.3	odd	2
928.2.be.a.689.18		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)

\(f(q)\)	\(=\)	\(q+(-1.41370 - 0.0380459i) q^{2} +(-0.984395 - 0.474060i) q^{3} +(1.99711 + 0.107571i) q^{4} +(-1.69500 + 0.386874i) q^{5} +(1.37360 + 0.707631i) q^{6} +(1.46510 + 0.705554i) q^{7} +(-2.81922 - 0.228055i) q^{8} +(-1.12617 - 1.41217i) q^{9} +O(q^{10})\)	\(q+(-1.41370 - 0.0380459i) q^{2} +(-0.984395 - 0.474060i) q^{3} +(1.99711 + 0.107571i) q^{4} +(-1.69500 + 0.386874i) q^{5} +(1.37360 + 0.707631i) q^{6} +(1.46510 + 0.705554i) q^{7} +(-2.81922 - 0.228055i) q^{8} +(-1.12617 - 1.41217i) q^{9} +(2.41095 - 0.482436i) q^{10} +(-2.32847 + 2.91981i) q^{11} +(-1.91495 - 1.05264i) q^{12} +(1.12900 + 0.900350i) q^{13} +(-2.04437 - 1.05318i) q^{14} +(1.85196 + 0.422697i) q^{15} +(3.97686 + 0.429662i) q^{16} +3.67940i q^{17} +(1.53834 + 2.03923i) q^{18} +(-5.27158 + 2.53866i) q^{19} +(-3.42672 + 0.590294i) q^{20} +(-1.10776 - 1.38909i) q^{21} +(3.40285 - 4.03915i) q^{22} +(-2.03607 + 8.92061i) q^{23} +(2.66711 + 1.56097i) q^{24} +(-1.78147 + 0.857913i) q^{25} +(-1.56182 - 1.31578i) q^{26} +(1.16852 + 5.11961i) q^{27} +(2.85006 + 1.56667i) q^{28} +(1.36695 - 5.20878i) q^{29} +(-2.60203 - 0.668027i) q^{30} +(1.38393 - 0.315874i) q^{31} +(-5.60574 - 0.758717i) q^{32} +(3.67629 - 1.77041i) q^{33} +(0.139986 - 5.20158i) q^{34} +(-2.75631 - 0.629110i) q^{35} +(-2.09717 - 2.94140i) q^{36} +(-1.32169 - 1.65735i) q^{37} +(7.54902 - 3.38834i) q^{38} +(-0.684565 - 1.42151i) q^{39} +(4.86682 - 0.704127i) q^{40} -2.26737i q^{41} +(1.51319 + 2.00590i) q^{42} +(-1.66778 + 7.30701i) q^{43} +(-4.96428 + 5.58068i) q^{44} +(2.45519 + 1.95795i) q^{45} +(3.21779 - 12.5336i) q^{46} +(-4.19854 - 3.34822i) q^{47} +(-3.71111 - 2.30822i) q^{48} +(-2.71572 - 3.40541i) q^{49} +(2.55111 - 1.14505i) q^{50} +(1.74426 - 3.62198i) q^{51} +(2.15789 + 1.91954i) q^{52} +(11.9828 - 2.73499i) q^{53} +(-1.45716 - 7.28206i) q^{54} +(2.81717 - 5.84991i) q^{55} +(-3.96953 - 2.32324i) q^{56} +6.39279 q^{57} +(-2.13064 + 7.31166i) q^{58} -7.21624i q^{59} +(3.65308 + 1.04339i) q^{60} +(3.22334 + 1.55228i) q^{61} +(-1.96849 + 0.393899i) q^{62} +(-0.653585 - 2.86354i) q^{63} +(7.89598 + 1.28588i) q^{64} +(-2.26199 - 1.08932i) q^{65} +(-5.26454 + 2.36296i) q^{66} +(1.67286 - 1.33406i) q^{67} +(-0.395798 + 7.34815i) q^{68} +(6.23320 - 7.81618i) q^{69} +(3.87267 + 0.994240i) q^{70} +(3.00931 - 3.77355i) q^{71} +(2.85286 + 4.23804i) q^{72} +(-9.82515 - 2.24253i) q^{73} +(1.80543 + 2.39329i) q^{74} +2.16038 q^{75} +(-10.8010 + 4.50290i) q^{76} +(-5.47152 + 2.63494i) q^{77} +(0.913688 + 2.03564i) q^{78} +(1.56786 - 1.25033i) q^{79} +(-6.90702 + 0.810263i) q^{80} +(0.0709438 - 0.310825i) q^{81} +(-0.0862643 + 3.20539i) q^{82} +(0.585526 + 1.21586i) q^{83} +(-2.06289 - 2.89332i) q^{84} +(-1.42346 - 6.23660i) q^{85} +(2.63574 - 10.2665i) q^{86} +(-3.81490 + 4.47949i) q^{87} +(7.23034 - 7.70055i) q^{88} +(-10.5797 + 2.41476i) q^{89} +(-3.39642 - 2.86137i) q^{90} +(1.01885 + 2.11567i) q^{91} +(-5.02585 + 17.5964i) q^{92} +(-1.51208 - 0.345123i) q^{93} +(5.80810 + 4.89313i) q^{94} +(7.95321 - 6.34247i) q^{95} +(5.15859 + 3.40433i) q^{96} +(4.46381 + 9.26920i) q^{97} +(3.70966 + 4.91755i) q^{98} +6.74551 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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