LMFDB - Embedded newform 232.2.o.a.109.26

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			109.26
Character	$\chi$	$=$	232.109
Dual form			232.2.o.a.149.26

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.30680 - 0.540625i) q^{2} +(-2.11365 - 1.01788i) q^{3} +(1.41545 - 1.41298i) q^{4} +(2.02045 - 0.461155i) q^{5} +(-3.31241 - 0.187473i) q^{6} +(-2.62821 - 1.26568i) q^{7} +(1.08582 - 2.61170i) q^{8} +(1.56097 + 1.95739i) q^{9} +O(q^{10})$	\(q+(1.30680 - 0.540625i) q^{2} +(-2.11365 - 1.01788i) q^{3} +(1.41545 - 1.41298i) q^{4} +(2.02045 - 0.461155i) q^{5} +(-3.31241 - 0.187473i) q^{6} +(-2.62821 - 1.26568i) q^{7} +(1.08582 - 2.61170i) q^{8} +(1.56097 + 1.95739i) q^{9} +(2.39101 - 1.69494i) q^{10} +(-0.198204 + 0.248540i) q^{11} +(-4.43001 + 1.54578i) q^{12} +(0.296816 + 0.236703i) q^{13} +(-4.11880 - 0.233113i) q^{14} +(-4.73992 - 1.08186i) q^{15} +(0.00699413 - 3.99999i) q^{16} -2.23824i q^{17} +(3.09808 + 1.71402i) q^{18} +(4.05305 - 1.95185i) q^{19} +(2.20824 - 3.50759i) q^{20} +(4.26681 + 5.35041i) q^{21} +(-0.124646 + 0.431946i) q^{22} +(-1.12809 + 4.94250i) q^{23} +(-4.95344 + 4.41500i) q^{24} +(-0.635288 + 0.305938i) q^{25} +(0.515847 + 0.148857i) q^{26} +(0.259137 + 1.13536i) q^{27} +(-5.50848 + 1.92210i) q^{28} +(4.24769 + 3.31016i) q^{29} +(-6.77901 + 1.14875i) q^{30} +(9.44815 - 2.15648i) q^{31} +(-2.15336 - 5.23097i) q^{32} +(0.671918 - 0.323579i) q^{33} +(-1.21005 - 2.92493i) q^{34} +(-5.89384 - 1.34523i) q^{35} +(4.97521 + 0.564977i) q^{36} +(-0.774431 - 0.971105i) q^{37} +(4.24131 - 4.74185i) q^{38} +(-0.386430 - 0.802430i) q^{39} +(0.989442 - 5.77755i) q^{40} +5.57074i q^{41} +(8.46843 + 4.68517i) q^{42} +(-1.97041 + 8.63293i) q^{43} +(0.0706335 + 0.631854i) q^{44} +(4.05651 + 3.23496i) q^{45} +(1.19785 + 7.06874i) q^{46} +(8.29606 + 6.61589i) q^{47} +(-4.08630 + 8.44747i) q^{48} +(0.941120 + 1.18013i) q^{49} +(-0.664796 + 0.743252i) q^{50} +(-2.27826 + 4.73085i) q^{51} +(0.754584 - 0.0843532i) q^{52} +(0.976321 - 0.222839i) q^{53} +(0.952442 + 1.34359i) q^{54} +(-0.285846 + 0.593566i) q^{55} +(-6.15934 + 5.48981i) q^{56} -10.5535 q^{57} +(7.34043 + 2.02931i) q^{58} -14.0603i q^{59} +(-8.23776 + 5.16609i) q^{60} +(4.65285 + 2.24070i) q^{61} +(11.1810 - 7.92599i) q^{62} +(-1.62512 - 7.12012i) q^{63} +(-5.64200 - 5.67167i) q^{64} +(0.708859 + 0.341369i) q^{65} +(0.703128 - 0.786109i) q^{66} +(-6.36124 + 5.07292i) q^{67} +(-3.16258 - 3.16811i) q^{68} +(7.41527 - 9.29846i) q^{69} +(-8.42934 + 1.42841i) q^{70} +(3.19495 - 4.00634i) q^{71} +(6.80705 - 1.95141i) q^{72} +(-12.3258 - 2.81329i) q^{73} +(-1.53703 - 0.850363i) q^{74} +1.65418 q^{75} +(2.97898 - 8.48961i) q^{76} +(0.835495 - 0.402353i) q^{77} +(-0.938801 - 0.839702i) q^{78} +(-7.67599 + 6.12140i) q^{79} +(-1.83048 - 8.08502i) q^{80} +(2.27924 - 9.98599i) q^{81} +(3.01168 + 7.27985i) q^{82} +(-7.84406 - 16.2884i) q^{83} +(13.5995 + 1.54433i) q^{84} +(-1.03217 - 4.52225i) q^{85} +(2.09225 + 12.3468i) q^{86} +(-5.60878 - 11.3202i) q^{87} +(0.433900 + 0.787520i) q^{88} +(-6.77740 + 1.54690i) q^{89} +(7.04995 + 2.03439i) q^{90} +(-0.480505 - 0.997780i) q^{91} +(5.38688 + 8.58984i) q^{92} +(-22.1651 - 5.05904i) q^{93} +(14.4180 + 4.16058i) q^{94} +(7.28889 - 5.81269i) q^{95} +(-0.773060 + 13.2483i) q^{96} +(3.40335 + 7.06713i) q^{97} +(1.86786 + 1.03340i) q^{98} -0.795880 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 $

$2$	1.30680	−	0.540625i	0.924047	−	0.382280i
$2$	1.30680	−	0.540625i	0.924047	−	0.382280i
$3$	−2.11365	−	1.01788i	−1.22032	−	0.587673i	−0.290917	−	0.956748i	$-0.593960\pi$
$3$	−2.11365	−	1.01788i	−1.22032	−	0.587673i	−0.929400	+	0.369075i	$0.879675\pi$
$4$	1.41545	−	1.41298i	0.707725	−	0.706488i
$5$	2.02045	−	0.461155i	0.903573	−	0.206235i	0.254600	−	0.967046i	$-0.418056\pi$
$5$	2.02045	−	0.461155i	0.903573	−	0.206235i	0.648973	+	0.760812i	$0.275199\pi$
$6$	−3.31241	−	0.187473i	−1.35228	−	0.0765357i
$7$	−2.62821	−	1.26568i	−0.993370	−	0.478382i	−0.134687	−	0.990888i	$-0.543003\pi$
$7$	−2.62821	−	1.26568i	−0.993370	−	0.478382i	−0.858684	+	0.512506i	$0.828717\pi$
$8$	1.08582	−	2.61170i	0.383895	−	0.923377i
$9$	1.56097	+	1.95739i	0.520322	+	0.652463i
$10$	2.39101	−	1.69494i	0.756104	−	0.535988i
$11$	−0.198204	+	0.248540i	−0.0597608	+	0.0749377i	−0.810814	−	0.585305i	$-0.800975\pi$
$11$	−0.198204	+	0.248540i	−0.0597608	+	0.0749377i	0.751053	+	0.660242i	$0.229546\pi$
$12$	−4.43001	+	1.54578i	−1.27883	+	0.446228i
$13$	0.296816	+	0.236703i	0.0823220	+	0.0656496i	0.663786	−	0.747922i	$-0.268949\pi$
$13$	0.296816	+	0.236703i	0.0823220	+	0.0656496i	−0.581464	+	0.813572i	$0.697520\pi$
$14$	−4.11880	−	0.233113i	−1.10080	−	0.0623021i
$15$	−4.73992	−	1.08186i	−1.22384	−	0.279334i
$16$	0.00699413	−	3.99999i	0.00174853	−	0.999998i
$17$		−	2.23824i		−	0.542852i	−0.962459	−	0.271426i	$-0.912505\pi$
$17$		−	2.23824i		−	0.542852i	0.962459	−	0.271426i	$-0.0874953\pi$
$18$	3.09808	+	1.71402i	0.730225	+	0.403998i
$19$	4.05305	−	1.95185i	0.929834	−	0.447784i	0.0932620	−	0.995642i	$-0.470271\pi$
$19$	4.05305	−	1.95185i	0.929834	−	0.447784i	0.836572	+	0.547857i	$0.184556\pi$
$20$	2.20824	−	3.50759i	0.493779	−	0.784321i
$21$	4.26681	+	5.35041i	0.931094	+	1.16755i
$22$	−0.124646	+	0.431946i	−0.0265746	+	0.0920913i
$23$	−1.12809	+	4.94250i	−0.235224	+	1.03058i	0.710010	+	0.704191i	$0.248690\pi$
$23$	−1.12809	+	4.94250i	−0.235224	+	1.03058i	−0.945234	+	0.326392i	$0.894167\pi$
$24$	−4.95344	+	4.41500i	−1.01112	+	0.901207i
$25$	−0.635288	+	0.305938i	−0.127058	+	0.0611877i
$26$	0.515847	+	0.148857i	0.101166	+	0.0291933i
$27$	0.259137	+	1.13536i	0.0498710	+	0.218499i
$28$	−5.50848	+	1.92210i	−1.04100	+	0.363242i
$29$	4.24769	+	3.31016i	0.788776	+	0.614681i
$29$	4.24769	+	3.31016i	0.788776	+	0.614681i
$30$	−6.77901	+	1.14875i	−1.23767	+	0.209732i
$31$	9.44815	−	2.15648i	1.69694	−	0.387315i	0.738868	−	0.673850i	$-0.235361\pi$
$31$	9.44815	−	2.15648i	1.69694	−	0.387315i	0.958070	+	0.286535i	$0.0925036\pi$
$32$	−2.15336	−	5.23097i	−0.380663	−	0.924714i
$33$	0.671918	−	0.323579i	0.116966	−	0.0563279i
$34$	−1.21005	−	2.92493i	−0.207521	−	0.501621i
$35$	−5.89384	−	1.34523i	−0.996242	−	0.227386i
$36$	4.97521	+	0.564977i	0.829202	+	0.0941629i
$37$	−0.774431	−	0.971105i	−0.127316	−	0.159649i	0.714088	−	0.700056i	$-0.246842\pi$
$37$	−0.774431	−	0.971105i	−0.127316	−	0.159649i	−0.841404	+	0.540407i	$0.818270\pi$
$38$	4.24131	−	4.74185i	0.688031	−	0.769230i
$39$	−0.386430	−	0.802430i	−0.0618783	−	0.128492i
$40$	0.989442	−	5.77755i	0.156445	−	0.913511i
$41$			5.57074i			0.870004i	0.900429	+	0.435002i	$0.143252\pi$
$41$			5.57074i			0.870004i	−0.900429	+	0.435002i	$0.856748\pi$
$42$	8.46843	+	4.68517i	1.30671	+	0.722937i
$43$	−1.97041	+	8.63293i	−0.300485	+	1.31651i	0.568914	+	0.822397i	$0.307364\pi$
$43$	−1.97041	+	8.63293i	−0.300485	+	1.31651i	−0.869398	+	0.494112i	$0.835493\pi$
$44$	0.0706335	+	0.631854i	0.0106484	+	0.0952556i
$45$	4.05651	+	3.23496i	0.604709	+	0.482240i
$46$	1.19785	+	7.06874i	0.176613	+	1.04223i
$47$	8.29606	+	6.61589i	1.21010	+	0.965026i	0.999920	−	0.0126357i	$-0.00402218\pi$
$47$	8.29606	+	6.61589i	1.21010	+	0.965026i	0.210184	+	0.977662i	$0.432594\pi$
$48$	−4.08630	+	8.44747i	−0.589806	+	1.21929i
$49$	0.941120	+	1.18013i	0.134446	+	0.168590i
$50$	−0.664796	+	0.743252i	−0.0940163	+	0.105112i
$51$	−2.27826	+	4.73085i	−0.319020	+	0.662452i
$52$	0.754584	−	0.0843532i	0.104642	−	0.0116977i
$53$	0.976321	−	0.222839i	0.134108	−	0.0306093i	−0.154940	−	0.987924i	$-0.549518\pi$
$53$	0.976321	−	0.222839i	0.134108	−	0.0306093i	0.289048	+	0.957315i	$0.406661\pi$
$54$	0.952442	+	1.34359i	0.129611	+	0.182839i
$55$	−0.285846	+	0.593566i	−0.0385435	+	0.0800364i
$56$	−6.15934	+	5.48981i	−0.823077	+	0.733607i
$57$	−10.5535			−1.39784
$58$	7.34043	+	2.02931i	0.963846	+	0.266461i
$59$		−	14.0603i		−	1.83050i	−0.402886	−	0.915250i	$-0.631993\pi$
$59$		−	14.0603i		−	1.83050i	0.402886	−	0.915250i	$-0.368007\pi$
$60$	−8.23776	+	5.16609i	−1.06349	+	0.666939i
$61$	4.65285	+	2.24070i	0.595737	+	0.286892i	0.707354	−	0.706860i	$-0.249889\pi$
$61$	4.65285	+	2.24070i	0.595737	+	0.286892i	−0.111617	+	0.993751i	$0.535603\pi$
$62$	11.1810	−	7.92599i	1.41999	−	1.00660i
$63$	−1.62512	−	7.12012i	−0.204746	−	0.897050i
$64$	−5.64200	−	5.67167i	−0.705250	−	0.708959i
$65$	0.708859	+	0.341369i	0.0879231	+	0.0423416i
$66$	0.703128	−	0.786109i	0.0865491	−	0.0967633i
$67$	−6.36124	+	5.07292i	−0.777150	+	0.619756i	−0.929606	−	0.368554i	$-0.879853\pi$
$67$	−6.36124	+	5.07292i	−0.777150	+	0.619756i	0.152457	+	0.988310i	$0.451282\pi$
$68$	−3.16258	−	3.16811i	−0.383519	−	0.384190i
$69$	7.41527	−	9.29846i	0.892694	−	1.11940i
$70$	−8.42934	+	1.42841i	−1.00750	+	0.170728i
$71$	3.19495	−	4.00634i	0.379171	−	0.475465i	−0.555226	−	0.831700i	$-0.687368\pi$
$71$	3.19495	−	4.00634i	0.379171	−	0.475465i	0.934397	+	0.356234i	$0.115940\pi$
$72$	6.80705	−	1.95141i	0.802218	−	0.229976i
$73$	−12.3258	−	2.81329i	−1.44263	−	0.329271i	−0.571612	−	0.820524i	$-0.693682\pi$
$73$	−12.3258	−	2.81329i	−1.44263	−	0.329271i	−0.871017	+	0.491253i	$0.836539\pi$
$74$	−1.53703	−	0.850363i	−0.178676	−	0.0988527i
$75$	1.65418			0.191009
$76$	2.97898	−	8.48961i	0.341712	−	0.973825i
$77$	0.835495	−	0.402353i	0.0952135	−	0.0458524i
$78$	−0.938801	−	0.839702i	−0.106298	−	0.0950775i
$79$	−7.67599	+	6.12140i	−0.863616	+	0.688711i	−0.951576	−	0.307413i	$-0.900537\pi$
$79$	−7.67599	+	6.12140i	−0.863616	+	0.688711i	0.0879601	+	0.996124i	$0.471965\pi$
$80$	−1.83048	−	8.08502i	−0.204654	−	0.903932i
$81$	2.27924	−	9.98599i	0.253249	−	1.10955i
$82$	3.01168	+	7.27985i	0.332585	+	0.803924i
$83$	−7.84406	−	16.2884i	−0.860997	−	1.78788i	−0.542822	−	0.839848i	$-0.682644\pi$
$83$	−7.84406	−	16.2884i	−0.860997	−	1.78788i	−0.318176	−	0.948032i	$-0.603070\pi$
$84$	13.5995	+	1.54433i	1.48382	+	0.168500i
$85$	−1.03217	−	4.52225i	−0.111955	−	0.490507i
$86$	2.09225	+	12.3468i	0.225613	+	1.33138i
$87$	−5.60878	−	11.3202i	−0.601324	−	1.21365i
$88$	0.433900	+	0.787520i	0.0462539	+	0.0839499i
$89$	−6.77740	+	1.54690i	−0.718403	+	0.163971i	−0.566068	−	0.824358i	$-0.691536\pi$
$89$	−6.77740	+	1.54690i	−0.718403	+	0.163971i	−0.152334	+	0.988329i	$0.548679\pi$
$90$	7.04995	+	2.03439i	0.743130	+	0.214444i
$91$	−0.480505	−	0.997780i	−0.0503706	−	0.104596i
$92$	5.38688	+	8.58984i	0.561621	+	0.895552i
$93$	−22.1651	−	5.05904i	−2.29842	−	0.524598i
$94$	14.4180	+	4.16058i	1.48710	+	0.429131i
$95$	7.28889	−	5.81269i	0.747824	−	0.596370i
$96$	−0.773060	+	13.2483i	−0.0789001	+	1.35215i
$97$	3.40335	+	7.06713i	0.345558	+	0.717558i	0.999231	−	0.0392192i	$-0.0124870\pi$
$97$	3.40335	+	7.06713i	0.345558	+	0.717558i	−0.653673	+	0.756777i	$0.726773\pi$
$98$	1.86786	+	1.03340i	0.188682	+	0.104389i
$99$	−0.795880			−0.0799890
$100$	−0.466934	+	1.33069i	−0.0466934	+	0.133069i
$101$	0.669620	−	2.93380i	0.0666297	−	0.291924i	−0.930625	−	0.365975i	$-0.880736\pi$
$101$	0.669620	−	2.93380i	0.0666297	−	0.291924i	0.997254	+	0.0740510i	$0.0235927\pi$
$102$	−0.419610	+	7.41396i	−0.0415476	+	0.734091i
$103$	0.315823	−	0.396030i	0.0311190	−	0.0390220i	−0.766028	−	0.642807i	$-0.777770\pi$
$103$	0.315823	−	0.396030i	0.0311190	−	0.0390220i	0.797147	+	0.603785i	$0.206341\pi$
$104$	0.940487	−	0.518180i	0.0922223	−	0.0508117i
$105$	11.0882	+	8.84258i	1.08210	+	0.862947i
$106$	1.15538	−	0.819029i	0.112221	−	0.0795511i
$107$	−2.37307	+	1.89246i	−0.229413	+	0.182951i	−0.731450	−	0.681896i	$-0.761156\pi$
$107$	−2.37307	+	1.89246i	−0.229413	+	0.182951i	0.502036	+	0.864847i	$0.332584\pi$
$108$	1.97103	+	1.24088i	0.189662	+	0.119404i
$109$	−4.87411	+	10.1212i	−0.466855	+	0.969435i	0.526042	+	0.850459i	$0.323676\pi$
$109$	−4.87411	+	10.1212i	−0.466855	+	0.969435i	−0.992897	+	0.118976i	$0.962039\pi$
$110$	−0.0526472	+	0.930207i	−0.00501972	+	0.0886918i
$111$	0.648406	+	2.84085i	0.0615440	+	0.269642i
$112$	−5.08109	+	10.5040i	−0.480118	+	0.992532i
$113$	6.09142	−	12.6490i	0.573033	−	1.18991i	−0.390071	−	0.920785i	$-0.627550\pi$
$113$	6.09142	−	12.6490i	0.573033	−	1.18991i	0.963104	−	0.269130i	$-0.0867361\pi$
$114$	−13.7913	+	5.70547i	−1.29167	+	0.534366i
$115$			10.5063i			0.979719i
$116$	10.6896	−	1.31652i	0.992501	−	0.122236i
$117$			0.950470i			0.0878710i
$118$	−7.60137	−	18.3740i	−0.699763	−	1.69147i
$119$	−2.83289	+	5.88256i	−0.259691	+	0.539254i
$120$	−7.97219	+	11.2046i	−0.727758	+	1.02283i
$121$	2.42524	+	10.6257i	0.220477	+	0.965971i
$122$	7.29172	+	0.412692i	0.660161	+	0.0373634i
$123$	5.67035	−	11.7746i	0.511278	−	1.06168i
$124$	10.3263	−	16.4024i	0.927331	−	1.47298i
$125$	−9.24386	+	7.37173i	−0.826796	+	0.659348i
$126$	−5.97302	−	8.42598i	−0.532119	−	0.750646i
$127$	0.648203	+	0.516924i	0.0575187	+	0.0458696i	0.651827	−	0.758368i	$-0.274003\pi$
$127$	0.648203	+	0.516924i	0.0575187	+	0.0458696i	−0.594308	+	0.804237i	$0.702574\pi$
$128$	−10.4392	−	4.36153i	−0.922704	−	0.385509i
$129$	12.9520	−	16.2413i	1.14036	−	1.42997i
$130$	1.11089	+	0.0628733i	0.0974314	+	0.00551436i
$131$	−1.61720	+	7.08541i	−0.141295	+	0.619055i	0.853840	+	0.520536i	$0.174268\pi$
$131$	−1.61720	+	7.08541i	−0.141295	+	0.619055i	−0.995135	+	0.0985192i	$0.968589\pi$
$132$	0.493857	−	1.40741i	0.0429848	−	0.122500i
$133$	−13.1227			−1.13788
$134$	−5.57032	+	10.0683i	−0.481202	+	0.869772i
$135$	1.04715	+	2.17443i	0.0901242	+	0.187145i
$136$	−5.84562	−	2.43032i	−0.501257	−	0.208398i
$137$	−3.56304	+	2.84143i	−0.304411	+	0.242760i	−0.763766	−	0.645493i	$-0.776652\pi$
$137$	−3.56304	+	2.84143i	−0.304411	+	0.242760i	0.459355	+	0.888253i	$0.348081\pi$
$138$	4.66330	−	16.1601i	0.396966	−	1.37564i
$139$	8.56067	+	1.95392i	0.726107	+	0.165729i	0.569570	−	0.821943i	$-0.307110\pi$
$139$	8.56067	+	1.95392i	0.726107	+	0.165729i	0.156537	+	0.987672i	$0.449967\pi$
$140$	−10.2432	+	6.42376i	−0.865710	+	0.542907i
$141$	−10.8008	−	22.4281i	−0.909590	−	1.88878i
$142$	2.00923	−	6.96275i	0.168611	−	0.584301i
$143$	−0.117660	+	0.0268552i	−0.00983926	+	0.00224575i
$144$	7.84046	−	6.23016i	0.653372	−	0.519180i
$145$	10.1087	+	4.72917i	0.839485	+	0.392737i
$146$	−17.6283	+	2.98724i	−1.45893	+	0.247226i
$147$	−0.787970	−	3.45232i	−0.0649907	−	0.284743i
$148$	−2.46832	−	0.280298i	−0.202894	−	0.0230404i
$149$	0.541918	+	1.12530i	0.0443957	+	0.0921886i	0.921987	−	0.387221i	$-0.126565\pi$
$149$	0.541918	+	1.12530i	0.0443957	+	0.0921886i	−0.877591	+	0.479410i	$0.840851\pi$
$150$	2.16169	−	0.894293i	0.176501	−	0.0730187i
$151$	−1.53388	+	6.72038i	−0.124826	+	0.546897i	0.873381	+	0.487037i	$0.161922\pi$
$151$	−1.53388	+	6.72038i	−0.124826	+	0.546897i	−0.998207	+	0.0598594i	$0.980935\pi$
$152$	−0.696770	−	12.7047i	−0.0565155	−	1.03049i
$153$	4.38110	−	3.49381i	0.354191	−	0.282458i
$154$	0.874302	−	0.977484i	0.0704533	−	0.0787679i
$155$	18.0950	−	8.71412i	1.45343	−	0.699935i
$156$	−1.68079	−	0.589783i	−0.134571	−	0.0472204i
$157$	20.8950			1.66760			0.833802	−	0.552063i	$-0.186159\pi$
$157$	20.8950			1.66760			0.833802	+	0.552063i	$0.186159\pi$
$158$	−6.72160	+	12.1493i	−0.534742	+	0.966544i
$159$	−2.29042	−	0.522774i	−0.181642	−	0.0414587i
$160$	−6.76304	−	9.57589i	−0.534665	−	0.757040i
$161$	9.22050	−	11.5621i	0.726677	−	0.911224i
$162$	−2.42017	−	14.2819i	−0.190146	−	1.12209i
$163$	−7.23748	+	9.07552i	−0.566884	+	0.710849i	−0.979814	−	0.199913i	$-0.935934\pi$
$163$	−7.23748	+	9.07552i	−0.566884	+	0.710849i	0.412930	+	0.910763i	$0.364505\pi$
$164$	7.87133	+	7.88511i	0.614648	+	0.615723i
$165$	1.20836	−	0.963633i	0.0940706	−	0.0750188i
$166$	−19.0565	−	17.0449i	−1.47907	−	1.32294i
$167$	8.17228	+	3.93556i	0.632390	+	0.304543i	0.722481	−	0.691391i	$-0.243002\pi$
$167$	8.17228	+	3.93556i	0.632390	+	0.304543i	−0.0900914	+	0.995933i	$0.528716\pi$
$168$	18.6067	−	5.33407i	1.43553	−	0.411532i
$169$	−2.86070	−	12.5335i	−0.220054	−	0.964119i
$170$	−3.79368	−	5.35165i	−0.290962	−	0.410453i
$171$	10.1472	+	4.88663i	0.775976	+	0.373690i
$172$	9.40911	+	15.0036i	0.717438	+	1.14401i
$173$		−	17.0290i		−	1.29469i	−0.762196	−	0.647346i	$-0.775879\pi$
$173$		−	17.0290i		−	1.29469i	0.762196	−	0.647346i	$-0.224121\pi$
$174$	−13.4495	−	11.7609i	−1.01960	−	0.891594i
$175$	2.05689			0.155486
$176$	0.992773	+	0.794554i	0.0748331	+	0.0598918i
$177$	−14.3117	+	29.7186i	−1.07574	+	2.23379i
$178$	−8.02041	+	5.68551i	−0.601155	+	0.426147i
$179$	−15.1812	+	3.46502i	−1.13470	+	0.258988i	−0.748311	−	0.663348i	$-0.769135\pi$
$179$	−15.1812	+	3.46502i	−1.13470	+	0.258988i	−0.386389	+	0.922336i	$0.626278\pi$
$180$	10.3127	−	1.15283i	0.768664	−	0.0859272i
$181$	−9.56686	+	19.8658i	−0.711099	+	1.47661i	0.160832	+	0.986982i	$0.448582\pi$
$181$	−9.56686	+	19.8658i	−0.711099	+	1.47661i	−0.871930	+	0.489630i	$0.837132\pi$
$182$	−1.16735	−	1.04412i	−0.0865296	−	0.0773957i
$183$	−7.55374	−	9.47209i	−0.558388	−	0.700197i
$184$	11.6835	+	8.31291i	0.861316	+	0.612836i
$185$	−2.01253	−	1.60494i	−0.147964	−	0.117997i
$186$	−31.7004	+	5.37186i	−2.32439	+	0.393884i
$187$	0.556292	+	0.443628i	0.0406801	+	0.0324413i
$188$	21.0907	−	2.35768i	1.53820	−	0.171952i
$189$	0.755929	−	3.31194i	0.0549857	−	0.240908i
$190$	6.38263	−	11.5366i	0.463044	−	0.836951i
$191$		−	4.89568i		−	0.354239i	−0.984189	−	0.177119i	$-0.943322\pi$
$191$		−	4.89568i		−	0.354239i	0.984189	−	0.177119i	$-0.0566779\pi$
$192$	6.15213	+	17.7308i	0.443991	+	1.27961i
$193$	−3.35053	−	6.95744i	−0.241176	−	0.500807i	0.744885	−	0.667193i	$-0.232505\pi$
$193$	−3.35053	−	6.95744i	−0.241176	−	0.500807i	−0.986061	+	0.166386i	$0.946790\pi$
$194$	8.26816	+	7.39538i	0.593619	+	0.530958i
$195$	−1.15081	−	1.44307i	−0.0824110	−	0.103340i
$196$	2.99960	+	0.340630i	0.214257	+	0.0243307i
$197$	5.42493	+	1.23821i	0.386511	+	0.0882185i	0.411361	−	0.911473i	$-0.365054\pi$
$197$	5.42493	+	1.23821i	0.386511	+	0.0882185i	−0.0248500	+	0.999691i	$0.507911\pi$
$198$	−1.04006	+	0.430273i	−0.0739135	+	0.0305781i
$199$	−10.0372	+	4.83366i	−0.711518	+	0.342649i	−0.754386	−	0.656432i	$-0.772065\pi$
$199$	−10.0372	+	4.83366i	−0.711518	+	0.342649i	0.0428672	+	0.999081i	$0.486351\pi$
$200$	0.109214	+	1.99138i	0.00772258	+	0.140812i
$201$	18.6091	−	4.24740i	1.31258	−	0.299588i
$202$	−0.711025	−	4.19590i	−0.0500276	−	0.295223i
$203$	−6.97421	−	14.0760i	−0.489494	−	0.987942i
$204$	3.45982	+	9.91541i	0.242236	+	0.694217i
$205$	2.56897	+	11.2554i	0.179425	+	0.786112i
$206$	0.198614	−	0.688274i	0.0138381	−	0.0479543i
$207$	−11.4353	+	5.50696i	−0.794810	+	0.382760i
$208$	0.948887	−	1.18561i	0.0657934	−	0.0822071i
$209$	−0.318219	+	1.39421i	−0.0220117	+	0.0964396i
$210$	19.2706	+	5.56089i	1.32980	+	0.383738i
$211$	14.6741	+	18.4007i	1.01021	+	1.26676i	0.963460	+	0.267853i	$0.0863141\pi$
$211$	14.6741	+	18.4007i	1.01021	+	1.26676i	0.0467474	+	0.998907i	$0.485114\pi$
$212$	1.06707	−	1.69494i	0.0732864	−	0.116409i
$213$	−10.8310	+	5.21593i	−0.742127	+	0.357389i
$214$	−2.07802	+	3.75601i	−0.142050	+	0.256755i
$215$			18.3511i			1.25153i
$216$	3.24659	+	0.555999i	0.220902	+	0.0378309i
$217$	−27.5611	−	6.29065i	−1.87097	−	0.427037i
$218$	−0.897715	+	15.8614i	−0.0608009	+	1.07427i
$219$	23.1889	+	18.4925i	1.56696	+	1.24961i
$220$	0.434094	+	1.24406i	0.0292666	+	0.0838743i
$221$	0.529798	−	0.664345i	0.0356380	−	0.0446887i
$222$	2.38317	+	3.36188i	0.159948	+	0.225635i
$223$	−6.55508	−	8.21981i	−0.438960	−	0.550439i	0.512308	−	0.858802i	$-0.328790\pi$
$223$	−6.55508	−	8.21981i	−0.438960	−	0.550439i	−0.951269	+	0.308362i	$0.900219\pi$
$224$	−0.961259	+	16.4736i	−0.0642268	+	1.10069i
$225$	−1.59050	−	0.765946i	−0.106034	−	0.0510631i
$226$	1.12192	−	19.8228i	0.0746290	−	1.31860i
$227$	20.4544	−	4.66858i	1.35761	−	0.309865i	0.519080	−	0.854726i	$-0.326275\pi$
$227$	20.4544	−	4.66858i	1.35761	−	0.309865i	0.838526	+	0.544861i	$0.183418\pi$
$228$	−14.9379	+	14.9118i	−0.989287	+	0.987559i
$229$	−9.80096	−	4.71989i	−0.647666	−	0.311899i	0.0810557	−	0.996710i	$-0.474171\pi$
$229$	−9.80096	−	4.71989i	−0.647666	−	0.311899i	−0.728722	+	0.684810i	$0.759885\pi$
$230$	5.67997	+	13.7296i	0.374526	+	0.905306i
$231$	−2.17549			−0.143137
$232$	13.2574	−	7.49947i	0.870389	−	0.492364i
$233$	5.80784			0.380484			0.190242	−	0.981737i	$-0.439073\pi$
$233$	5.80784			0.380484			0.190242	+	0.981737i	$0.439073\pi$
$234$	0.513848	+	1.24207i	0.0335913	+	0.0811969i
$235$	19.8127	+	9.54130i	1.29244	+	0.622406i
$236$	−19.8669	−	19.9017i	−1.29323	−	1.29549i
$237$	22.4552	−	5.12525i	1.45862	−	0.332921i
$238$	−0.521763	+	9.21886i	−0.0338209	+	0.597570i
$239$	−7.78521	−	3.74916i	−0.503584	−	0.242513i	0.164804	−	0.986326i	$-0.447301\pi$
$239$	−7.78521	−	3.74916i	−0.503584	−	0.242513i	−0.668387	+	0.743813i	$0.733015\pi$
$240$	−4.36057	+	18.9521i	−0.281474	+	1.22335i
$241$	−15.8496	−	19.8747i	−1.02096	−	1.28024i	−0.959372	−	0.282143i	$-0.908955\pi$
$241$	−15.8496	−	19.8747i	−1.02096	−	1.28024i	−0.0615883	−	0.998102i	$-0.519617\pi$
$242$	8.91382	+	12.5745i	0.573002	+	0.808319i
$243$	−12.8038	+	16.0554i	−0.821363	+	1.02996i
$244$	9.75193	−	3.40278i	0.624303	−	0.217841i
$245$	2.44571	+	1.95039i	0.156251	+	0.124606i
$246$	1.04437	−	18.4526i	0.0665864	−	1.17649i
$247$	1.66502	+	0.380030i	0.105943	+	0.0241807i
$248$	4.62689	−	27.0173i	0.293808	−	1.71560i
$249$			42.4122i			2.68776i
$250$	−8.09453	+	14.6308i	−0.511943	+	0.925335i
$251$	21.6942	−	10.4474i	1.36933	−	0.659432i	0.402630	−	0.915363i	$-0.368096\pi$
$251$	21.6942	−	10.4474i	1.36933	−	0.659432i	0.966695	+	0.255931i	$0.0823819\pi$
$252$	−12.3608	−	7.78191i	−0.778659	−	0.490214i
$253$	−1.00482	−	1.26000i	−0.0631724	−	0.0792157i
$254$	1.12653	+	0.325082i	0.0706850	+	0.0203975i
$255$	−2.42145	+	10.6091i	−0.151637	+	0.664366i
$256$	−15.9999	−	0.0559530i	−0.999994	−	0.00349706i
$257$	−21.2158	+	10.2170i	−1.32340	+	0.637318i	−0.956171	−	0.292810i	$-0.905410\pi$
$257$	−21.2158	+	10.2170i	−1.32340	+	0.637318i	−0.367234	+	0.930129i	$0.619695\pi$
$258$	8.14524	−	28.2264i	0.507101	−	1.75730i
$259$	0.806259	+	3.53245i	0.0500985	+	0.219496i
$260$	1.48570	−	0.518411i	0.0921392	−	0.0321505i
$261$	0.151222	+	13.4814i	0.00936039	+	0.834479i
$262$	1.71719	+	10.1335i	0.106089	+	0.626050i
$263$	7.68660	−	1.75442i	0.473976	−	0.108182i	0.0211414	−	0.999776i	$-0.493270\pi$
$263$	7.68660	−	1.75442i	0.473976	−	0.108182i	0.452834	+	0.891595i	$0.350413\pi$
$264$	−0.115511	−	2.10620i	−0.00710922	−	0.129628i
$265$	1.86984	−	0.900470i	0.114864	−	0.0553154i
$266$	−17.1487	+	7.09445i	−1.05146	+	0.434989i
$267$	15.8996	+	3.62898i	0.973040	+	0.222090i
$268$	−1.83610	+	16.1688i	−0.112158	+	0.987664i
$269$	17.4394	+	21.8684i	1.06330	+	1.33334i	0.940078	+	0.340959i	$0.110752\pi$
$269$	17.4394	+	21.8684i	1.06330	+	1.33334i	0.123224	+	0.992379i	$0.460677\pi$
$270$	2.54396	+	2.27543i	0.154821	+	0.138478i
$271$	6.49345	+	13.4838i	0.394449	+	0.819082i	0.999734	+	0.0230731i	$0.00734504\pi$
$271$	6.49345	+	13.4838i	0.394449	+	0.819082i	−0.605285	+	0.796009i	$0.706941\pi$
$272$	−8.95294	−	0.0156545i	−0.542852	−	0.000949195i
$273$			2.59805i			0.157241i
$274$	−3.12003	+	5.63945i	−0.188488	+	0.340691i
$275$	0.0498787	−	0.218533i	0.00300780	−	0.0131780i
$276$	−2.64256	−	23.6391i	−0.159063	−	1.42291i
$277$	−16.2731	−	12.9773i	−0.977753	−	0.779732i	−0.00231330	−	0.999997i	$-0.500736\pi$
$277$	−16.2731	−	12.9773i	−0.977753	−	0.779732i	−0.975440	+	0.220265i	$0.929308\pi$
$278$	12.2434	−	2.07473i	0.734312	−	0.124434i
$279$	18.9693	+	15.1275i	1.13566	+	0.905661i
$280$	−9.91299	+	13.9323i	−0.592414	+	0.832614i
$281$	0.289133	+	0.362561i	0.0172482	+	0.0216286i	0.790381	−	0.612616i	$-0.209883\pi$
$281$	0.289133	+	0.362561i	0.0172482	+	0.0216286i	−0.773133	+	0.634244i	$0.781311\pi$
$282$	−26.2396	−	23.4698i	−1.56255	−	1.39761i
$283$	−6.29922	+	13.0805i	−0.374450	+	0.777553i	−0.999997	−	0.00263360i	$-0.999162\pi$
$283$	−6.29922	+	13.0805i	−0.374450	+	0.777553i	0.625547	+	0.780187i	$0.284876\pi$
$284$	−1.13858	−	10.1852i	−0.0675620	−	0.604378i
$285$	−21.3228	+	4.86679i	−1.26305	+	0.288283i
$286$	−0.139240	+	0.0987046i	−0.00823343	+	0.00583652i
$287$	7.05078	−	14.6411i	0.416194	−	0.864236i
$288$	6.87773	−	12.3803i	0.405274	−	0.729518i
$289$	11.9903			0.705311
$290$	15.7668	+	0.715048i	0.925858	+	0.0419890i
$291$		−	18.4016i		−	1.07872i
$292$	−21.4217	+	13.4340i	−1.25361	+	0.786168i
$293$	−11.6653	−	5.61774i	−0.681497	−	0.328192i	0.0609076	−	0.998143i	$-0.480600\pi$
$293$	−11.6653	−	5.61774i	−0.681497	−	0.328192i	−0.742405	+	0.669952i	$0.766315\pi$
$294$	−2.89613	−	4.08550i	−0.168906	−	0.238271i
$295$	−6.48399	−	28.4082i	−0.377513	−	1.65399i
$296$	−3.37713	+	0.968140i	−0.196292	+	0.0562720i
$297$	−0.333544	−	0.160626i	−0.0193542	−	0.00932048i
$298$	1.31655	+	1.17757i	0.0762655	+	0.0682150i
$299$	−1.50474	+	1.19999i	−0.0870215	+	0.0693973i
$300$	2.34141	−	2.33732i	0.135182	−	0.134945i
$301$	16.1052	−	20.1952i	0.928287	−	1.16403i
$302$	1.62873	+	9.61144i	0.0937227	+	0.553076i
$303$	−4.40160	+	5.51943i	−0.252865	+	0.317083i
$304$	−7.77903	−	16.2258i	−0.446158	−	0.930615i
$305$	10.4342	+	2.38153i	0.597458	+	0.136366i
$306$	3.83638	−	6.93425i	0.219311	−	0.396405i
$307$	−20.3389			−1.16080			−0.580401	−	0.814331i	$-0.697104\pi$
$307$	−20.3389			−1.16080			−0.580401	+	0.814331i	$0.697104\pi$
$308$	0.614085	−	1.75005i	0.0349908	−	0.0997181i
$309$	−1.07065	+	0.515598i	−0.0609072	+	0.0293314i
$310$	18.9355	−	21.1702i	1.07547	−	1.20239i
$311$	16.5201	−	13.1743i	0.936767	−	0.747047i	−0.0308356	−	0.999524i	$-0.509817\pi$
$311$	16.5201	−	13.1743i	0.936767	−	0.747047i	0.967603	+	0.252478i	$0.0812454\pi$
$312$	−2.51530	+	0.137948i	−0.142401	+	0.00780975i
$313$	−1.06926	+	4.68474i	−0.0604382	+	0.264797i	−0.996115	−	0.0880610i	$-0.971933\pi$
$313$	−1.06926	+	4.68474i	−0.0604382	+	0.264797i	0.935677	+	0.352858i	$0.114790\pi$
$314$	27.3056	−	11.2964i	1.54094	−	0.637491i
$315$	−6.56695	−	13.6364i	−0.370006	−	0.768325i
$316$	−2.21558	+	19.5105i	−0.124636	+	1.09755i
$317$	−1.61202	−	7.06274i	−0.0905403	−	0.396683i	0.909269	−	0.416209i	$-0.136641\pi$
$317$	−1.61202	−	7.06274i	−0.0905403	−	0.396683i	−0.999809	+	0.0195260i	$0.993784\pi$
$318$	−3.27575	+	0.555099i	−0.183695	+	0.0311284i
$319$	−1.66462	+	0.399633i	−0.0932007	+	0.0223752i
$320$	−14.0149	−	8.85750i	−0.783456	−	0.495149i
$321$	6.94214	−	1.58450i	0.387472	−	0.0884380i
$322$	5.79856	−	20.0942i	0.323141	−	1.11981i
$323$	−4.36870	−	9.07169i	−0.243081	−	0.504763i
$324$	−10.8838	−	17.3552i	−0.604657	−	0.964176i
$325$	−0.260980	−	0.0595670i	−0.0144766	−	0.00330418i
$326$	−4.55149	+	15.7726i	−0.252084	+	0.873566i
$327$	20.6043	−	16.4314i	1.13942	−	0.908659i
$328$	14.5491	+	6.04882i	0.803342	+	0.333990i
$329$	−13.4302	−	27.8881i	−0.740431	−	1.53752i
$330$	1.05812	−	1.91254i	0.0582474	−	0.105282i
$331$	−8.54053			−0.469430			−0.234715	−	0.972064i	$-0.575416\pi$
$331$	−8.54053			−0.469430			−0.234715	+	0.972064i	$0.575416\pi$
$332$	−34.1179	−	11.9719i	−1.87247	−	0.657042i
$333$	0.691971	−	3.03172i	0.0379198	−	0.166137i
$334$	12.8072	+	0.724852i	0.700778	+	0.0396622i
$335$	−10.5132	+	13.1831i	−0.574396	+	0.720270i
$336$	21.4314	−	17.0298i	1.16918	−	0.929051i
$337$	0.339572	+	0.270799i	0.0184976	+	0.0147514i	0.632695	−	0.774401i	$-0.281949\pi$
$337$	0.339572	+	0.270799i	0.0184976	+	0.0147514i	−0.614197	+	0.789152i	$0.710520\pi$
$338$	−10.5143	−	14.8323i	−0.571903	−	0.806769i
$339$	−25.7503	+	20.5351i	−1.39856	+	1.11532i
$340$	−7.85082	−	4.94258i	−0.425771	−	0.268049i
$341$	−1.33669	+	2.77567i	−0.0723859	+	0.150311i
$342$	15.9022	+	0.900021i	0.859892	+	0.0486676i
$343$	3.56400	+	15.6149i	0.192438	+	0.843126i
$344$	20.4071	+	14.5199i	1.10028	+	0.782861i
$345$	10.6942	−	22.2067i	0.575754	−	1.19557i
$346$	−9.20631	−	22.2535i	−0.494934	−	1.19636i
$347$			7.56902i			0.406326i	0.979145	+	0.203163i	$0.0651221\pi$
$347$			7.56902i			0.406326i	−0.979145	+	0.203163i	$0.934878\pi$
$348$	−23.9341	−	8.09804i	−1.28300	−	0.434100i
$349$		−	12.2200i		−	0.654122i	−0.945003	−	0.327061i	$-0.893942\pi$
$349$		−	12.2200i		−	0.654122i	0.945003	−	0.327061i	$-0.106058\pi$
$350$	2.68794	−	1.11201i	0.143677	−	0.0594392i
$351$	−0.191826	+	0.398330i	−0.0102389	+	0.0212613i
$352$	1.72691	+	0.501605i	0.0920447	+	0.0267356i
$353$	1.64364	+	7.20124i	0.0874819	+	0.383283i	0.999648	−	0.0265379i	$-0.00844828\pi$
$353$	1.64364	+	7.20124i	0.0874819	+	0.383283i	−0.912166	+	0.409821i	$0.865591\pi$
$354$	−2.63594	+	46.5736i	−0.140099	+	2.47536i
$355$	4.60770	−	9.56798i	0.244551	−	0.507816i
$356$	−7.40733	+	11.7659i	−0.392588	+	0.623589i
$357$	11.9755	−	9.55013i	0.633810	−	0.505447i
$358$	−17.9656	+	12.7354i	−0.949510	+	0.673089i
$359$	−17.5682	−	14.0102i	−0.927215	−	0.739430i	0.0384386	−	0.999261i	$-0.487762\pi$
$359$	−17.5682	−	14.0102i	−0.927215	−	0.739430i	−0.965654	+	0.259831i	$0.916333\pi$
$360$	12.8534	−	7.08183i	0.677434	−	0.373245i
$361$	0.771216	−	0.967074i	0.0405903	−	0.0508986i
$362$	−1.76203	+	31.1327i	−0.0926100	+	1.63630i
$363$	5.68956	−	24.9276i	0.298624	−	1.30836i
$364$	−2.08997	−	0.733364i	−0.109544	−	0.0384387i
$365$	−26.2011			−1.37143
$366$	−14.9921	−	8.29438i	−0.783648	−	0.433554i
$367$	7.45171	+	15.4736i	0.388976	+	0.807718i	0.999872	+	0.0160064i	$0.00509521\pi$
$367$	7.45171	+	15.4736i	0.388976	+	0.807718i	−0.610896	+	0.791711i	$0.709191\pi$
$368$	19.7621	+	4.54694i	1.03017	+	0.237026i
$369$	−10.9041	+	8.69574i	−0.567646	+	0.452682i
$370$	−3.49764	−	1.00931i	−0.181834	−	0.0524715i
$371$	−2.84802	−	0.650042i	−0.147862	−	0.0337485i
$372$	−38.5219	+	24.1580i	−1.99727	+	1.25253i
$373$	11.8035	+	24.5102i	0.611163	+	1.26909i	0.945187	+	0.326528i	$0.105879\pi$
$373$	11.8035	+	24.5102i	0.611163	+	1.26909i	−0.334025	+	0.942564i	$0.608407\pi$
$374$	0.966799	+	0.278988i	0.0499920	+	0.0144261i
$375$	27.0418	−	6.17212i	1.39643	−	0.318727i
$376$	26.2867	−	14.4832i	1.35564	−	0.746914i
$377$	0.477257	+	1.98795i	0.0245800	+	0.102385i
$378$	−0.802670	−	4.73671i	−0.0412849	−	0.243630i
$379$	−4.93365	−	21.6157i	−0.253424	−	1.11032i	−0.928135	−	0.372243i	$-0.878589\pi$
$379$	−4.93365	−	21.6157i	−0.253424	−	1.11032i	0.674711	−	0.738082i	$-0.264268\pi$
$380$	2.10385	−	18.5266i	0.107925	−	0.950395i
$381$	−0.843907	−	1.75239i	−0.0432346	−	0.0897777i
$382$	−2.64673	−	6.39767i	−0.135418	−	0.327333i
$383$	5.14077	−	22.5232i	0.262681	−	1.15088i	−0.655649	−	0.755066i	$-0.727605\pi$
$383$	5.14077	−	22.5232i	0.262681	−	1.15088i	0.918330	−	0.395815i	$-0.129538\pi$
$384$	17.6253	+	19.8446i	0.899438	+	1.01269i
$385$	1.50253	−	1.19823i	0.0765760	−	0.0610673i
$386$	−8.13983	−	7.28060i	−0.414306	−	0.370573i
$387$	−19.9737	+	9.61885i	−1.01532	+	0.488953i
$388$	14.8030	+	5.19431i	0.751506	+	0.263701i
$389$	20.7965			1.05443			0.527213	−	0.849733i	$-0.323237\pi$
$389$	20.7965			1.05443			0.527213	+	0.849733i	$0.323237\pi$
$390$	−2.28403	−	1.26364i	−0.115656	−	0.0639871i
$391$	11.0625	+	2.52494i	0.559455	+	0.127692i
$392$	4.10403	−	1.17652i	0.207285	−	0.0594234i
$393$	10.6303	−	13.3300i	0.536227	−	0.672407i
$394$	7.75871	−	1.31477i	0.390878	−	0.0662371i
$395$	−12.6860	+	15.9078i	−0.638304	+	0.800408i
$396$	−1.12653	+	1.12456i	−0.0566102	+	0.0565113i
$397$	5.19275	−	4.14108i	0.260617	−	0.207835i	−0.484461	−	0.874813i	$-0.660984\pi$
$397$	5.19275	−	4.14108i	0.260617	−	0.207835i	0.745077	+	0.666978i	$0.232413\pi$
$398$	−10.5034	+	11.7430i	−0.526488	+	0.588623i
$399$	27.7368	+	13.3573i	1.38858	+	0.668703i
$400$	1.21931	+	2.54329i	0.0609654	+	0.127164i
$401$	7.58309	+	33.2237i	0.378681	+	1.65911i	0.701514	+	0.712655i	$0.252508\pi$
$401$	7.58309	+	33.2237i	0.378681	+	1.65911i	−0.322833	+	0.946456i	$0.604635\pi$
$402$	22.0221	−	15.6110i	1.09836	−	0.778607i
$403$	3.31481	+	1.59633i	0.165122	+	0.0795187i
$404$	−3.19758	−	5.09880i	−0.159085	−	0.253675i
$405$		−	21.2273i		−	1.05479i
$406$	−16.7237	−	14.6241i	−0.829985	−	0.725781i
$407$	0.394854			0.0195722
$408$	9.88181	+	11.0870i	0.489223	+	0.548887i
$409$	4.01298	−	8.33305i	0.198429	−	0.412043i	−0.777883	−	0.628409i	$-0.783706\pi$
$409$	4.01298	−	8.33305i	0.198429	−	0.412043i	0.976312	+	0.216367i	$0.0694206\pi$
$410$	9.44209	+	13.3197i	0.466312	+	0.657814i
$411$	10.4233	−	2.37904i	0.514141	−	0.117349i
$412$	−0.112549	−	1.00681i	−0.00554490	−	0.0496020i
$413$	−17.7959	+	36.9535i	−0.875678	+	1.81836i
$414$	−11.9665	+	13.3787i	−0.588120	+	0.657528i
$415$	−23.3600	−	29.2925i	−1.14670	−	1.43791i
$416$	0.599035	−	2.06234i	0.0293701	−	0.101115i
$417$	−16.1054	−	12.8436i	−0.788685	−	0.628956i
$418$	0.337896	+	1.99399i	0.0165270	+	0.0975293i
$419$	−15.7328	−	12.5465i	−0.768595	−	0.612934i	0.158673	−	0.987331i	$-0.449278\pi$
$419$	−15.7328	−	12.5465i	−0.768595	−	0.612934i	−0.927269	+	0.374397i	$0.877850\pi$
$420$	28.1892	−	3.15120i	1.37549	−	0.153763i
$421$	5.01054	−	21.9526i	0.244199	−	1.06991i	−0.692953	−	0.720983i	$-0.743691\pi$
$421$	5.01054	−	21.9526i	0.244199	−	1.06991i	0.937152	−	0.348922i	$-0.113452\pi$
$422$	29.1240	+	16.1129i	1.41773	+	0.784364i
$423$			26.5658i			1.29167i
$424$	0.478118	−	2.79182i	0.0232194	−	0.135583i
$425$	0.684763	+	1.42192i	0.0332159	+	0.0689735i
$426$	−11.3341	+	12.6717i	−0.549137	+	0.613944i
$427$	−9.39267	−	11.7780i	−0.454543	−	0.569979i
$428$	−0.684959	+	6.03178i	−0.0331087	+	0.291557i
$429$	0.276028	+	0.0630017i	0.0133268	+	0.00304175i
$430$	9.92104	+	23.9812i	0.478435	+	1.15647i
$431$	−33.4507	+	16.1090i	−1.61127	+	0.775944i	−0.999882	−	0.0153901i	$-0.995101\pi$
$431$	−33.4507	+	16.1090i	−1.61127	+	0.775944i	−0.611383	+	0.791334i	$0.709387\pi$
$432$	4.54323	−	1.02861i	0.218586	−	0.0494889i
$433$	23.0075	−	5.25130i	1.10567	−	0.252361i	0.369547	−	0.929212i	$-0.379513\pi$
$433$	23.0075	−	5.25130i	1.10567	−	0.252361i	0.736120	+	0.676851i	$0.236656\pi$
$434$	−39.4178	+	6.67962i	−1.89211	+	0.320632i
$435$	−16.5526	−	20.2853i	−0.793636	−	0.972606i
$436$	7.40196	+	21.2130i	0.354489	+	1.01592i
$437$	5.07479	+	22.2341i	0.242760	+	1.06360i
$438$	40.3008	+	11.6295i	1.92564	+	0.555680i
$439$	−20.7310	+	9.98351i	−0.989435	+	0.476487i	−0.857340	−	0.514750i	$-0.827885\pi$
$439$	−20.7310	+	9.98351i	−0.989435	+	0.476487i	−0.132095	+	0.991237i	$0.542170\pi$
$440$	1.23984	+	1.39105i	0.0591071	+	0.0663157i
$441$	−0.840912	+	3.68428i	−0.0400434	+	0.175442i
$442$	0.333178	−	1.15459i	0.0158476	−	0.0549181i
$443$	−3.10403	−	3.89233i	−0.147477	−	0.184930i	0.702606	−	0.711579i	$-0.252020\pi$
$443$	−3.10403	−	3.89233i	−0.147477	−	0.184930i	−0.850083	+	0.526649i	$0.823448\pi$
$444$	4.93185	+	3.10490i	0.234055	+	0.147352i
$445$	−12.9800	+	6.25086i	−0.615313	+	0.296319i
$446$	−13.0100	−	7.19780i	−0.616042	−	0.340826i
$447$		−	2.93011i		−	0.138589i
$448$	7.64984	+	22.0473i	0.361421	+	1.04164i
$449$	−3.73894	−	0.853388i	−0.176451	−	0.0402739i	0.133382	−	0.991065i	$-0.457416\pi$
$449$	−3.73894	−	0.853388i	−0.176451	−	0.0402739i	−0.309834	+	0.950791i	$0.600273\pi$
$450$	−2.49256	−	0.141072i	−0.117500	−	0.00665020i
$451$	−1.38455	−	1.10415i	−0.0651961	−	0.0519922i
$452$	−9.25059	−	26.5110i	−0.435111	−	1.24697i
$453$	10.0826	−	12.6432i	0.473723	−	0.594030i
$454$	24.2058	−	17.1591i	1.13604	−	0.805315i
$455$	−1.43097	−	1.79438i	−0.0670848	−	0.0841217i
$456$	−11.4592	+	27.5626i	−0.536624	+	1.29074i
$457$	21.1631	+	10.1916i	0.989966	+	0.476742i	0.857522	−	0.514448i	$-0.172003\pi$
$457$	21.1631	+	10.1916i	0.989966	+	0.476742i	0.132444	+	0.991190i	$0.457717\pi$
$458$	−15.3596	−	0.869311i	−0.717706	−	0.0406202i
$459$	2.54120	−	0.580011i	0.118613	−	0.0270726i
$460$	14.8452	+	14.8712i	0.692160	+	0.693371i
$461$	22.8372	+	10.9978i	1.06363	+	0.512219i	0.882050	−	0.471157i	$-0.156163\pi$
$461$	22.8372	+	10.9978i	1.06363	+	0.512219i	0.181584	+	0.983375i	$0.441878\pi$
$462$	−2.84293	+	1.17612i	−0.132265	+	0.0547183i
$463$	−9.70395			−0.450981			−0.225490	−	0.974245i	$-0.572398\pi$
$463$	−9.70395			−0.450981			−0.225490	+	0.974245i	$0.572398\pi$
$464$	13.2703	−	16.9676i	0.616060	−	0.787700i
$465$	−47.1165			−2.18498
$466$	7.58969	−	3.13986i	0.351585	−	0.145451i
$467$	−21.0010	−	10.1135i	−0.971810	−	0.467999i	−0.120529	−	0.992710i	$-0.538459\pi$
$467$	−21.0010	−	10.1135i	−0.971810	−	0.467999i	−0.851281	+	0.524711i	$0.824173\pi$
$468$	1.34299	+	1.34534i	0.0620798	+	0.0621885i
$469$	23.1394	−	5.28141i	1.06848	−	0.243873i
$470$	31.0495	+	1.75732i	1.43221	+	0.0810591i
$471$	−44.1648	−	21.2686i	−2.03500	−	0.980007i
$472$	−36.7214	−	15.2670i	−1.69024	−	0.702719i
$473$	−1.75509	−	2.20081i	−0.0806989	−	0.101193i
$474$	26.5736	−	18.8375i	1.22057	−	0.865236i
$475$	−1.97771	+	2.47997i	−0.0907435	+	0.113789i
$476$	4.30211	+	12.3293i	0.197187	+	0.565112i
$477$	1.96019	+	1.56320i	0.0897507	+	0.0715738i
$478$	−12.2006	−	0.690521i	−0.558043	−	0.0315837i
$479$	−32.6185	−	7.44497i	−1.49038	−	0.340169i	−0.601708	−	0.798716i	$-0.705513\pi$
$479$	−32.6185	−	7.44497i	−1.49038	−	0.340169i	−0.888670	+	0.458547i	$0.848370\pi$
$480$	4.54759	+	27.1240i	0.207568	+	1.23804i
$481$		−	0.471550i		−	0.0215008i
$482$	−31.4570	−	17.4036i	−1.43283	−	0.792713i
$483$	−31.2578	+	15.0530i	−1.42228	+	0.684933i
$484$	18.4467	+	11.6133i	0.838484	+	0.527878i
$485$	10.1353	+	12.7093i	0.460222	+	0.577100i
$486$	−8.05201	+	27.9033i	−0.365247	+	1.26572i
$487$	6.57993	−	28.8286i	0.298165	−	1.30635i	−0.574691	−	0.818370i	$-0.694878\pi$
$487$	6.57993	−	28.8286i	0.298165	−	1.30635i	0.872856	−	0.487977i	$-0.162265\pi$
$488$	10.9042	−	9.71888i	0.493609	−	0.439953i
$489$	24.5353	−	11.8156i	1.10952	−	0.534319i
$490$	4.25048	+	1.22655i	0.192017	+	0.0554100i
$491$	−1.42923	−	6.26185i	−0.0645001	−	0.282593i	0.932384	−	0.361468i	$-0.117724\pi$
$491$	−1.42923	−	6.26185i	−0.0645001	−	0.282593i	−0.996885	+	0.0788749i	$0.974867\pi$
$492$	−8.61115	−	24.6784i	−0.388220	−	1.11259i
$493$	7.40893	−	9.50733i	0.333681	−	0.428189i
$494$	2.38130	−	0.403528i	0.107140	−	0.0181556i
$495$	−1.60804	+	0.367024i	−0.0722759	+	0.0164965i
$496$	−8.55982	−	37.8076i	−0.384347	−	1.69761i
$497$	−13.4677	+	6.48573i	−0.604111	+	0.290925i
$498$	22.9291	+	55.4242i	1.02748	+	2.48362i
$499$	25.6414	+	5.85248i	1.14787	+	0.261993i	0.753809	−	0.657093i	$-0.228214\pi$
$499$	25.6414	+	5.85248i	1.14787	+	0.261993i	0.394057	+	0.919086i	$0.371071\pi$
$500$	−2.66813	+	23.4957i	−0.119322	+	1.05076i
$501$	−13.2674	−	16.6368i	−0.592744	−	0.743277i
$502$	22.7018	−	25.3810i	1.01323	−	1.13281i
$503$	2.75292	+	5.71649i	0.122746	+	0.254886i	0.953283	−	0.302078i	$-0.0976804\pi$
$503$	2.75292	+	5.71649i	0.122746	+	0.254886i	−0.830537	+	0.556964i	$0.811966\pi$
$504$	−20.3602	−	3.48682i	−0.906916	−	0.155315i
$505$		−	6.23639i		−	0.277516i
$506$	−1.99428	−	1.10334i	−0.0886567	−	0.0490495i
$507$	−6.71113	+	29.4034i	−0.298052	+	1.30585i
$508$	1.64790	−	0.184215i	0.0731138	−	0.00817322i
$509$	13.4090	+	10.6933i	0.594343	+	0.473973i	0.873867	−	0.486166i	$-0.161605\pi$
$509$	13.4090	+	10.6933i	0.594343	+	0.473973i	−0.279523	+	0.960139i	$0.590176\pi$
$510$	2.57118	+	15.1730i	0.113854	+	0.671873i
$511$	28.8342	+	22.9945i	1.27555	+	1.01722i
$512$	−20.9389	+	8.57683i	−0.925378	+	0.379046i
$513$	3.26634	+	4.09586i	0.144212	+	0.180837i
$514$	−22.2012	+	24.8213i	−0.979254	+	1.09482i
$515$	0.455475	−	0.945803i	0.0200706	−	0.0416770i
$516$	−4.61568	−	41.2897i	−0.203194	−	1.81768i
$517$	−3.28863	+	0.750608i	−0.144634	+	0.0330117i
$518$	2.96335	+	4.18032i	0.130202	+	0.183673i
$519$	−17.3335	+	35.9934i	−0.760856	+	1.57993i
$520$	1.66125	−	1.48067i	0.0728504	−	0.0649315i
$521$	−20.5409			−0.899913			−0.449956	−	0.893051i	$-0.648560\pi$
$521$	−20.5409			−0.899913			−0.449956	+	0.893051i	$0.648560\pi$
$522$	7.48601	+	17.5358i	0.327654	+	0.767519i
$523$		−	3.95398i		−	0.172895i	−0.996256	−	0.0864476i	$-0.972448\pi$
$523$		−	3.95398i		−	0.172895i	0.996256	−	0.0864476i	$-0.0275515\pi$
$524$	7.72245	+	12.3141i	0.337357	+	0.537944i
$525$	−4.34754	−	2.09367i	−0.189742	−	0.0913751i
$526$	9.09636	−	6.44823i	0.396620	−	0.281156i
$527$	−4.82671	−	21.1472i	−0.210255	−	0.921187i
$528$	−1.28961	−	2.68993i	−0.0561232	−	0.117064i
$529$	−2.43347	−	1.17190i	−0.105803	−	0.0509520i
$530$	1.95670	−	2.18762i	0.0849934	−	0.0950240i
$531$	27.5216	−	21.9477i	1.19433	−	0.952450i
$532$	−18.5745	+	18.5421i	−0.805307	+	0.803900i
$533$	−1.31861	+	1.65349i	−0.0571154	+	0.0716205i
$534$	22.7395	−	3.85337i	0.984035	−	0.166752i
$535$	−3.92196	+	4.91798i	−0.169561	+	0.212623i
$536$	6.34182	+	22.1220i	0.273925	+	0.955523i
$537$	35.6148	+	8.12885i	1.53689	+	0.350786i
$538$	34.6124	+	19.1494i	1.49225	+	0.825588i
$539$	−0.479843			−0.0206683
$540$	4.55460	+	1.59819i	0.195999	+	0.0687754i
$541$	−35.4078	+	17.0515i	−1.52230	+	0.733100i	−0.993305	−	0.115525i	$-0.963145\pi$
$541$	−35.4078	+	17.0515i	−1.52230	+	0.733100i	−0.528994	+	0.848626i	$0.677431\pi$
$542$	15.7753	+	14.1101i	0.677608	+	0.606080i
$543$	40.4420	−	32.2514i	1.73553	−	1.38404i
$544$	−11.7082	+	4.81972i	−0.501983	+	0.206644i
$545$	−5.18046	+	22.6971i	−0.221907	+	0.972237i
$546$	1.40457	+	3.39513i	0.0601102	+	0.145298i
$547$	−2.52133	−	5.23559i	−0.107804	−	0.223858i	0.840087	−	0.542451i	$-0.182504\pi$
$547$	−2.52133	−	5.23559i	−0.107804	−	0.223858i	−0.947891	+	0.318594i	$0.896789\pi$
$548$	−1.02843	+	9.05639i	−0.0439323	+	0.386870i
$549$	2.87703	+	12.6051i	0.122789	+	0.537972i
$550$	−0.0529628	−	0.312544i	−0.00225834	−	0.0133269i
$551$	23.6770	+	5.12542i	1.00867	+	0.218350i
$552$	−16.2332	−	29.4629i	−0.690930	−	1.25403i
$553$	27.9218	−	6.37298i	1.18736	−	0.271007i
$554$	−28.2815	−	8.16115i	−1.20157	−	0.346734i
$555$	2.62015	+	5.44079i	0.111219	+	0.230949i
$556$	14.8780	−	9.33036i	0.630969	−	0.395695i
$557$	−2.80790	−	0.640885i	−0.118975	−	0.0271552i	0.162619	−	0.986689i	$-0.448006\pi$
$557$	−2.80790	−	0.640885i	−0.118975	−	0.0271552i	−0.281594	+	0.959534i	$0.590863\pi$
$558$	32.9674	+	9.51335i	1.39562	+	0.402732i
$559$	−2.62829	+	2.09599i	−0.111165	+	0.0886509i
$560$	−5.42214	+	23.5659i	−0.229127	+	0.995842i
$561$	−0.724247	−	1.50391i	−0.0305777	−	0.0634953i
$562$	0.573848	+	0.317482i	0.0242063	+	0.0133922i
$563$	−22.2805			−0.939011			−0.469506	−	0.882929i	$-0.655568\pi$
$563$	−22.2805			−0.939011			−0.469506	+	0.882929i	$0.655568\pi$
$564$	−46.9783	−	16.4845i	−1.97814	−	0.694124i
$565$	6.47428	−	28.3657i	0.272375	−	1.19335i
$566$	−1.16019	+	20.4991i	−0.0487665	+	0.861640i
$567$	−18.6294	+	23.3605i	−0.782360	+	0.981049i
$568$	−6.99424	−	12.6944i	−0.293472	−	0.532646i
$569$	11.3164	+	9.02456i	0.474410	+	0.378329i	0.831306	−	0.555815i	$-0.187594\pi$
$569$	11.3164	+	9.02456i	0.474410	+	0.378329i	−0.356896	+	0.934144i	$0.616165\pi$
$570$	−25.2335	+	17.8875i	−1.05691	+	0.749227i
$571$	23.2415	−	18.5345i	0.972628	−	0.775645i	−0.00187990	−	0.999998i	$-0.500598\pi$
$571$	23.2415	−	18.5345i	0.972628	−	0.775645i	0.974508	+	0.224353i	$0.0720270\pi$
$572$	−0.128597	+	0.204264i	−0.00537689	+	0.00854069i
$573$	−4.98321	+	10.3477i	−0.208177	+	0.432283i
$574$	1.29861	−	22.9448i	0.0542031	−	0.957697i
$575$	−0.795437	−	3.48504i	−0.0331720	−	0.145336i
$576$	2.29470	−	19.8969i	0.0956126	−	0.829036i
$577$	−5.90122	+	12.2540i	−0.245671	+	0.510141i	−0.986944	−	0.161062i	$-0.948508\pi$
$577$	−5.90122	+	12.2540i	−0.245671	+	0.510141i	0.741273	+	0.671204i	$0.234222\pi$
$578$	15.6689	−	6.48225i	0.651740	−	0.269626i
$579$			18.1160i			0.752876i
$580$	20.9906	−	7.58950i	0.871588	−	0.315137i
$581$			52.7373i			2.18791i
$582$	−9.94838	−	24.0472i	−0.412374	−	0.996790i
$583$	−0.138126	+	0.286823i	−0.00572061	+	0.0118790i
$584$	−20.7311	+	29.1367i	−0.857859	+	1.20569i
$585$	0.438314	+	1.92038i	0.0181220	+	0.0793979i
$586$	−18.2814	−	1.03468i	−0.755196	−	0.0427421i
$587$	7.93758	−	16.4826i	0.327619	−	0.680308i	−0.670481	−	0.741927i	$-0.733912\pi$
$587$	7.93758	−	16.4826i	0.327619	−	0.680308i	0.998100	+	0.0616192i	$0.0196264\pi$
$588$	−5.99338	−	3.77320i	−0.247163	−	0.155604i
$589$	34.0847	−	27.1817i	1.40444	−	1.12000i
$590$	−23.8315	−	33.6184i	−0.981126	−	1.38405i
$591$	−10.2061	−	8.13907i	−0.419821	−	0.334796i
$592$	−3.88983	+	3.09093i	−0.159871	+	0.127036i
$593$	24.8067	−	31.1067i	1.01869	−	1.27740i	0.0584304	−	0.998291i	$-0.481390\pi$
$593$	24.8067	−	31.1067i	1.01869	−	1.27740i	0.960260	−	0.279106i	$-0.0900381\pi$
$594$	−0.522713	−	0.0295842i	−0.0214472	−	0.00121385i
$595$	−3.01095	+	13.1918i	−0.123437	+	0.540812i
$596$	2.35709	+	0.827094i	0.0965501	+	0.0338791i
$597$	26.1352			1.06964
$598$	−1.31765	+	2.38165i	−0.0538827	+	0.0973929i
$599$	−9.01330	−	18.7163i	−0.368274	−	0.764728i	0.631671	−	0.775236i	$-0.282369\pi$
$599$	−9.01330	−	18.7163i	−0.368274	−	0.764728i	−0.999945	+	0.0105084i	$0.996655\pi$
$600$	1.79614	−	4.32024i	0.0733272	−	0.176373i
$601$	−8.01698	+	6.39333i	−0.327019	+	0.260789i	−0.773212	−	0.634148i	$-0.781351\pi$
$601$	−8.01698	+	6.39333i	−0.327019	+	0.260789i	0.446192	+	0.894937i	$0.352780\pi$
$602$	10.1282	−	35.0980i	0.412794	−	1.43049i
$603$	−19.8594	−	4.53277i	−0.808736	−	0.184589i
$604$	7.32460	+	11.6797i	0.298034	+	0.475240i
$605$	9.80017	+	20.3503i	0.398433	+	0.827356i
$606$	−2.76807	+	9.59240i	−0.112445	+	0.389665i
$607$	30.5499	−	6.97280i	1.23998	−	0.283017i	0.448261	−	0.893903i	$-0.352043\pi$
$607$	30.5499	−	6.97280i	1.23998	−	0.283017i	0.791719	+	0.610885i	$0.209186\pi$
$608$	−18.9377	−	16.9984i	−0.768026	−	0.689375i
$609$	0.413356	+	36.8507i	0.0167500	+	1.49326i
$610$	14.9229	−	2.52879i	0.604209	−	0.102388i
$611$	0.896404	+	3.92740i	0.0362646	+	0.158886i
$612$	1.26455	−	11.1357i	0.0511166	−	0.450135i
$613$	1.31167	+	2.72371i	0.0529778	+	0.110010i	0.925777	−	0.378070i	$-0.123412\pi$
$613$	1.31167	+	2.72371i	0.0529778	+	0.110010i	−0.872799	+	0.488079i	$0.837698\pi$
$614$	−26.5789	+	10.9957i	−1.07264	+	0.443751i
$615$	6.02675	−	26.4049i	0.243022	−	1.06475i
$616$	−0.143632	−	2.61895i	−0.00578709	−	0.105520i
$617$	14.2939	−	11.3990i	0.575452	−	0.458908i	−0.292007	−	0.956416i	$-0.594323\pi$
$617$	14.2939	−	11.3990i	0.575452	−	0.458908i	0.867459	+	0.497508i	$0.165752\pi$
$618$	−1.12038	+	1.25260i	−0.0450683	+	0.0503871i
$619$	2.53830	−	1.22238i	0.102023	−	0.0491317i	−0.382176	−	0.924089i	$-0.624825\pi$
$619$	2.53830	−	1.22238i	0.102023	−	0.0491317i	0.484199	+	0.874958i	$0.339111\pi$
$620$	13.2998	−	37.9023i	0.534132	−	1.52219i
$621$	−5.90383			−0.236913
$622$	14.4661	−	26.1473i	0.580036	−	1.04841i
$623$	19.7703	+	4.51244i	0.792081	+	0.180787i
$624$	−3.21242	+	1.54011i	−0.128600	+	0.0616536i
$625$	−13.0791	+	16.4007i	−0.523164	+	0.656026i
$626$	1.13538	+	6.70008i	0.0453788	+	0.267789i
$627$	2.09174	−	2.62296i	0.0835362	−	0.104751i
$628$	29.5758	−	29.5242i	1.18020	−	1.17814i
$629$	−2.17357	+	1.73336i	−0.0866657	+	0.0691136i
$630$	−15.9539	−	14.2698i	−0.635617	−	0.568522i
$631$	7.15454	+	3.44545i	0.284818	+	0.137161i	0.570838	−	0.821062i	$-0.306618\pi$
$631$	7.15454	+	3.44545i	0.284818	+	0.137161i	−0.286021	+	0.958223i	$0.592333\pi$
$632$	7.65255	+	26.6941i	0.304402	+	1.06184i
$633$	−12.2862	−	53.8292i	−0.488331	−	2.13952i
$634$	−5.92488	−	8.35808i	−0.235307	−	0.331942i
$635$	1.54804	+	0.745499i	0.0614322	+	0.0295842i
$636$	−3.98065	+	2.49635i	−0.157843	+	0.0989869i
$637$			0.573047i			0.0227049i
$638$	−1.95927	+	1.42217i	−0.0775682	+	0.0563044i
$639$	12.8292			0.507514
$640$	−23.1032	−	3.99817i	−0.913236	−	0.158042i
$641$	−6.09856	+	12.6638i	−0.240879	+	0.500190i	−0.986001	−	0.166738i	$-0.946677\pi$
$641$	−6.09856	+	12.6638i	−0.240879	+	0.500190i	0.745123	+	0.666928i	$0.232391\pi$
$642$	8.21536	−	5.82371i	0.324235	−	0.229844i
$643$	−26.0715	+	5.95066i	−1.02816	+	0.234671i	−0.703152	−	0.711040i	$-0.748225\pi$
$643$	−26.0715	+	5.95066i	−1.02816	+	0.234671i	−0.325010	+	0.945711i	$0.605368\pi$
$644$	−3.28588	−	29.3940i	−0.129482	−	1.15828i
$645$	18.6792	−	38.7877i	0.735492	−	1.52726i
$646$	−10.6134	−	9.49306i	−0.417578	−	0.373499i
$647$	27.4243	+	34.3890i	1.07816	+	1.35197i	0.931896	+	0.362725i	$0.118154\pi$
$647$	27.4243	+	34.3890i	1.07816	+	1.35197i	0.146264	+	0.989246i	$0.453275\pi$
$648$	−23.6056	−	16.7957i	−0.927316	−	0.659796i
$649$	3.49456	+	2.78682i	0.137173	+	0.109392i
$650$	−0.373252	+	0.0632502i	−0.0146402	+	0.00248088i
$651$	51.8515	+	41.3502i	2.03222	+	1.62064i
$652$	2.57920	+	23.0723i	0.101009	+	0.903582i
$653$	7.66524	−	33.5836i	0.299964	−	1.31423i	−0.570216	−	0.821495i	$-0.693141\pi$
$653$	7.66524	−	33.5836i	0.299964	−	1.31423i	0.870180	−	0.492733i	$-0.164002\pi$
$654$	18.0425	−	32.6118i	0.705518	−	1.27522i
$655$			15.0615i			0.588501i
$656$	22.2829	+	0.0389625i	0.870003	+	0.00152123i
$657$	−13.7335	−	28.5179i	−0.535795	−	1.11259i
$658$	−32.6276	−	29.1834i	−1.27196	−	1.13769i
$659$	−19.4328	−	24.3680i	−0.756994	−	0.949241i	0.242789	−	0.970079i	$-0.421938\pi$
$659$	−19.4328	−	24.3680i	−0.756994	−	0.949241i	−0.999783	+	0.0208384i	$0.993366\pi$
$660$	0.348778	−	3.07136i	0.0135762	−	0.119552i
$661$	−37.0340	−	8.45277i	−1.44046	−	0.328774i	−0.570253	−	0.821469i	$-0.693155\pi$
$661$	−37.0340	−	8.45277i	−1.44046	−	0.328774i	−0.870202	+	0.492695i	$0.836012\pi$
$662$	−11.1608	+	4.61722i	−0.433775	+	0.179453i
$663$	−1.79603	+	0.864923i	−0.0697520	+	0.0335908i
$664$	−51.0576	+	2.80017i	−1.98142	+	0.108668i
$665$	−26.5137	+	6.05159i	−1.02816	+	0.234671i
$666$	−0.734758	−	4.33595i	−0.0284713	−	0.168015i
$667$	−21.1523	+	17.2600i	−0.819019	+	0.668311i
$668$	17.1283	−	5.97665i	0.662714	−	0.231243i
$669$	5.48836	+	24.0461i	0.212192	+	0.929675i
$670$	−6.61150	+	22.9114i	−0.255424	+	0.885143i
$671$	−1.47912	+	0.712306i	−0.0571007	+	0.0274983i
$672$	18.7999	−	33.8409i	0.725221	−	1.30544i
$673$	−10.2047	+	44.7098i	−0.393363	+	1.72344i	0.259307	+	0.965795i	$0.416506\pi$
$673$	−10.2047	+	44.7098i	−0.393363	+	1.72344i	−0.652670	+	0.757642i	$0.726351\pi$
$674$	0.590153	+	0.170300i	0.0227318	+	0.00655969i
$675$	−0.511976	−	0.641997i	−0.0197060	−	0.0247105i
$676$	−21.7588	−	13.6985i	−0.836876	−	0.526865i
$677$	2.78209	−	1.33978i	0.106924	−	0.0514920i	−0.379657	−	0.925127i	$-0.623958\pi$
$677$	2.78209	−	1.33978i	0.106924	−	0.0514920i	0.486581	+	0.873635i	$0.338244\pi$
$678$	−22.5486	+	40.7565i	−0.865974	+	1.56525i
$679$		−	22.8815i		−	0.878110i
$680$	−12.9315	−	2.21461i	−0.495902	−	0.0849263i
$681$	−47.9855	−	10.9524i	−1.83881	−	0.419696i
$682$	−0.246192	+	4.34989i	−0.00942718	+	0.166566i
$683$	−11.5725	−	9.22876i	−0.442809	−	0.353129i	0.376562	−	0.926391i	$-0.377106\pi$
$683$	−11.5725	−	9.22876i	−0.442809	−	0.353129i	−0.819372	+	0.573263i	$0.805678\pi$
$684$	21.2675	−	7.42097i	0.813185	−	0.283748i
$685$	−5.88861	+	7.38408i	−0.224992	+	0.282131i
$686$	13.0992	+	18.4788i	0.500132	+	0.705523i
$687$	15.9115	+	19.9524i	0.607062	+	0.761232i
$688$	34.5179	+	7.94200i	1.31598	+	0.302786i
$689$	0.342534	+	0.164956i	0.0130495	+	0.00628432i
$690$	1.96965	−	34.8012i	0.0749834	−	1.32486i
$691$	32.4871	−	7.41496i	1.23587	−	0.282079i	0.445819	−	0.895123i	$-0.352913\pi$
$691$	32.4871	−	7.41496i	1.23587	−	0.282079i	0.790048	+	0.613045i	$0.210056\pi$
$692$	−24.0616	−	24.1037i	−0.914684	−	0.916285i
$693$	2.09174	+	1.00733i	0.0794587	+	0.0382653i
$694$	4.09200	+	9.89118i	0.155330	+	0.375464i
$695$	18.1975			0.690270
$696$	−35.6550	+	2.35683i	−1.35150	+	0.0893356i
$697$	12.4687			0.472284
$698$	−6.60644	−	15.9691i	−0.250058	−	0.604439i
$699$	−12.2757	−	5.91169i	−0.464311	−	0.223601i
$700$	2.91142	−	2.90634i	0.110041	−	0.109849i
$701$	−16.8250	+	3.84020i	−0.635473	+	0.145042i	−0.528108	−	0.849177i	$-0.677098\pi$
$701$	−16.8250	+	3.84020i	−0.635473	+	0.145042i	−0.107365	+	0.994220i	$0.534241\pi$
$702$	−0.0353305	+	0.624244i	−0.00133346	+	0.0235606i
$703$	−5.03426	−	2.42437i	−0.189871	−	0.0914369i
$704$	2.52791	−	0.278114i	0.0952741	−	0.0104818i
$705$	−32.1652	−	40.3339i	−1.21141	−	1.51906i
$706$	6.04107	+	8.52198i	0.227359	+	0.320729i
$707$	−5.47315	+	6.86312i	−0.205839	+	0.258114i
$708$	21.7342	+	62.2874i	0.816821	+	2.34090i
$709$	8.39208	+	6.69246i	0.315171	+	0.251341i	0.768279	−	0.640115i	$-0.221113\pi$
$709$	8.39208	+	6.69246i	0.315171	+	0.251341i	−0.453108	+	0.891456i	$0.649685\pi$
$710$	0.848647	−	14.9945i	0.0318491	−	0.562732i
$711$	−23.9639	−	5.46961i	−0.898717	−	0.205126i
$712$	−3.31898	+	19.3802i	−0.124384	+	0.726304i
$713$			49.1302i			1.83994i
$714$	10.4865	−	18.9544i	0.392448	−	0.709349i
$715$	−0.225343	+	0.108519i	−0.00842734	+	0.00405839i
$716$	−16.5923	+	26.3553i	−0.620083	+	0.984944i
$717$	12.6390	+	15.8488i	0.472013	+	0.591885i
$718$	−30.5324	−	8.81069i	−1.13946	−	0.328812i
$719$	−2.45251	+	10.7451i	−0.0914631	+	0.400726i	−0.999848	−	0.0174080i	$-0.994459\pi$
$719$	−2.45251	+	10.7451i	−0.0914631	+	0.400726i	0.908385	+	0.418134i	$0.137316\pi$
$720$	12.9682	−	16.2034i	0.483296	−	0.603865i
$721$	−1.33130	+	0.641119i	−0.0495801	+	0.0238765i
$722$	0.485000	−	1.68071i	0.0180498	−	0.0625495i
$723$	13.2703	+	58.1412i	0.493530	+	2.16229i
$724$	14.5285	+	41.6368i	0.539947	+	1.54742i
$725$	−3.71121	−	0.803373i	−0.137831	−	0.0298365i
$726$	−6.04136	−	35.6513i	−0.224216	−	1.32314i
$727$	4.20418	−	0.959576i	0.155924	−	0.0355887i	−0.143846	−	0.989600i	$-0.545947\pi$
$727$	4.20418	−	0.959576i	0.155924	−	0.0355887i	0.299770	+	0.954011i	$0.403090\pi$
$728$	−3.12765	+	0.171531i	−0.115918	+	0.00635735i
$729$	15.7199	−	7.57031i	0.582219	−	0.280382i
$730$	−34.2396	+	14.1650i	−1.26726	+	0.524269i
$731$	19.3225	+	4.41024i	0.714670	+	0.163119i
$732$	−24.0758	−	2.73401i	−0.889866	−	0.101052i
$733$	−4.85897	−	6.09296i	−0.179470	−	0.225049i	0.683957	−	0.729523i	$-0.260258\pi$
$733$	−4.85897	−	6.09296i	−0.179470	−	0.225049i	−0.863427	+	0.504474i	$0.831686\pi$
$734$	18.1033	+	16.1924i	0.668206	+	0.597671i
$735$	−3.18411	−	6.61187i	−0.117448	−	0.243883i
$736$	28.2833	−	4.74194i	1.04254	−	0.174790i
$737$		−	2.58650i		−	0.0952749i
$738$	−9.54836	+	17.2586i	−0.351480	+	0.635299i
$739$	−1.29798	+	5.68680i	−0.0477468	+	0.209192i	−0.993174	−	0.116640i	$-0.962787\pi$
$739$	−1.29798	+	5.68680i	−0.0477468	+	0.209192i	0.945427	+	0.325833i	$0.105645\pi$
$740$	−5.11637	+	0.571947i	−0.188082	+	0.0210252i
$741$	−3.13244	−	2.49804i	−0.115073	−	0.0917678i
$742$	−4.07322	+	0.690236i	−0.149533	+	0.0253394i
$743$	4.85906	+	3.87497i	0.178262	+	0.142159i	0.708556	−	0.705655i	$-0.249347\pi$
$743$	4.85906	+	3.87497i	0.178262	+	0.142159i	−0.530294	+	0.847814i	$0.677918\pi$
$744$	−37.2800	+	52.3955i	−1.36675	+	1.92091i
$745$	1.61386	+	2.02371i	0.0591272	+	0.0741432i
$746$	28.6757	+	25.6487i	1.04989	+	0.939066i
$747$	19.6384	−	40.7795i	0.718530	−	1.49204i
$748$	1.41424	−	0.158095i	0.0517097	−	0.00578051i
$749$	8.63218	−	1.97024i	0.315413	−	0.0719910i
$750$	32.0014	−	22.6852i	1.16853	−	0.828347i
$751$	−14.9030	+	30.9463i	−0.543817	+	1.12925i	0.430192	+	0.902737i	$0.358446\pi$
$751$	−14.9030	+	30.9463i	−0.543817	+	1.12925i	−0.974009	+	0.226510i	$0.927268\pi$
$752$	26.5215	−	33.1379i	0.967141	−	1.20842i
$753$	−56.4881			−2.05854
$754$	1.69841	+	2.33983i	0.0618526	+	0.0852117i
$755$			14.2855i			0.519904i
$756$	−3.60971	−	5.75599i	−0.131284	−	0.209343i
$757$	−11.9228	−	5.74174i	−0.433343	−	0.208687i	0.204479	−	0.978871i	$-0.434450\pi$
$757$	−11.9228	−	5.74174i	−0.433343	−	0.208687i	−0.637822	+	0.770184i	$0.720164\pi$
$758$	−18.1333	−	25.5802i	−0.658631	−	0.929113i
$759$	0.841303	+	3.68599i	0.0305373	+	0.133793i
$760$	−7.26663	−	25.3479i	−0.263588	−	0.919467i
$761$	−33.6995	−	16.2288i	−1.22161	−	0.588294i	−0.291847	−	0.956465i	$-0.594270\pi$
$761$	−33.6995	−	16.2288i	−1.22161	−	0.588294i	−0.929758	+	0.368171i	$0.879984\pi$
$762$	−2.05020	−	1.83379i	−0.0742710	−	0.0664310i
$763$	25.6204	−	20.4316i	0.927520	−	0.739673i
$764$	−6.91748	−	6.92958i	−0.250266	−	0.250704i
$765$	7.24061	−	9.07944i	0.261785	−	0.328268i
$766$	−5.45864	−	32.2125i	−0.197229	−	1.16389i
$767$	3.32812	−	4.17334i	0.120172	−	0.150690i
$768$	33.7612	+	16.4042i	1.21825	+	0.591937i
$769$	29.7467	+	6.78948i	1.07269	+	0.244835i	0.722167	−	0.691718i	$-0.243146\pi$
$769$	29.7467	+	6.78948i	1.07269	+	0.244835i	0.350525	+	0.936553i	$0.386003\pi$
$770$	1.31571	−	2.37815i	0.0474150	−	0.0857025i
$771$	55.2424			1.98951
$772$	−14.5732	−	5.11369i	−0.524501	−	0.184046i
$773$	−10.4851	+	5.04934i	−0.377121	+	0.181612i	−0.612836	−	0.790210i	$-0.709971\pi$
$773$	−10.4851	+	5.04934i	−0.377121	+	0.181612i	0.235715	+	0.971822i	$0.424257\pi$
$774$	−20.9015	+	23.3682i	−0.751288	+	0.839953i
$775$	−5.34254	+	4.26054i	−0.191910	+	0.153043i
$776$	22.1527	−	1.21493i	0.795234	−	0.0436133i
$777$	1.89146	−	8.28704i	0.0678558	−	0.297296i
$778$	27.1769	−	11.2431i	0.974339	−	0.403086i
$779$	10.8732	+	22.5785i	0.389574	+	0.808959i
$780$	−3.66793	−	0.416524i	−0.131333	−	0.0149140i
$781$	0.362484	+	1.58815i	0.0129707	+	0.0568284i
$782$	15.8215	−	2.68107i	0.565776	−	0.0958748i
$783$	−2.65747	+	5.68042i	−0.0949704	+	0.203002i
$784$	4.72708	−	3.75622i	0.168824	−	0.134151i
$785$	42.2174	−	9.63584i	1.50680	−	0.343918i
$786$	6.68514	−	23.1666i	0.238451	−	0.826324i
$787$	−1.56744	−	3.25482i	−0.0558731	−	0.116022i	0.871163	−	0.490994i	$-0.163366\pi$
$787$	−1.56744	−	3.25482i	−0.0558731	−	0.116022i	−0.927036	+	0.374973i	$0.877652\pi$
$788$	9.42828	−	5.91269i	0.335868	−	0.210631i
$789$	−18.0326	−	4.11581i	−0.641976	−	0.146527i
$790$	−7.97796	+	27.6467i	−0.283843	+	0.983625i
$791$	−32.0191	+	25.5344i	−1.13847	+	0.907897i
$792$	−0.864181	+	2.07860i	−0.0307073	+	0.0738600i
$793$	0.850662	+	1.76642i	0.0302079	+	0.0627274i
$794$	4.54711	−	8.21889i	0.161371	−	0.291677i
$795$	−4.86877			−0.172677
$796$	−7.37730	+	21.0241i	−0.261481	+	0.745181i
$797$	−0.123825	+	0.542514i	−0.00438612	+	0.0192168i	−0.977074	−	0.212902i	$-0.931709\pi$
$797$	−0.123825	+	0.542514i	−0.00438612	+	0.0192168i	0.972688	+	0.232119i	$0.0745657\pi$
$798$	43.4677	+	2.46015i	1.53874	+	0.0870885i
$799$	14.8079	−	18.5686i	0.523867	−	0.656908i
$800$	2.96836	+	2.66438i	0.104947	+	0.0941999i
$801$	−13.6072	−	10.8514i	−0.480786	−	0.383414i
$802$	27.8711	+	39.3171i	0.984164	+	1.38833i
$803$	3.14225	−	2.50586i	0.110887	−	0.0884298i
$804$	20.3387	−	32.3062i	0.717291	−	1.13935i
$805$	13.2976	−	27.6128i	0.468680	−	0.973224i
$806$	5.19480	+	0.294012i	0.182979	+	0.0103561i
$807$	−14.6015	−	63.9733i	−0.513997	−	2.25197i
$808$	−6.93513	−	4.93442i	−0.243977	−	0.173592i
$809$	14.7951	−	30.7223i	0.520168	−	1.08014i	−0.461074	−	0.887361i	$-0.652536\pi$
$809$	14.7951	−	30.7223i	0.520168	−	1.08014i	0.981242	−	0.192778i	$-0.0617498\pi$
$810$	−11.4760	−	27.7398i	−0.403225	−	0.974677i
$811$		−	17.7487i		−	0.623241i	−0.950207	−	0.311620i	$-0.899128\pi$
$811$		−	17.7487i		−	0.623241i	0.950207	−	0.311620i	$-0.100872\pi$
$812$	−29.7607	−	10.0695i	−1.04440	−	0.353369i
$813$		−	35.1096i		−	1.23135i
$814$	0.515995	−	0.213468i	0.0180856	−	0.00748205i
$815$	−10.4378	+	21.6742i	−0.365619	+	0.759215i
$816$	18.9074	+	9.14611i	0.661893	+	0.320178i
$817$	8.86398	+	38.8356i	0.310111	+	1.35869i
$818$	0.739112	−	13.0591i	0.0258425	−	0.456602i
$819$	1.20299	−	2.49804i	0.0420359	−	0.0872884i
$820$	19.5399	+	12.3016i	0.682363	+	0.429589i
$821$	−16.3705	+	13.0550i	−0.571335	+	0.455624i	−0.866048	−	0.499962i	$-0.833347\pi$
$821$	−16.3705	+	13.0550i	−0.571335	+	0.455624i	0.294713	+	0.955586i	$0.404776\pi$
$822$	12.3349	−	8.74400i	0.430230	−	0.304982i
$823$	−19.5423	−	15.5845i	−0.681201	−	0.543240i	0.220614	−	0.975361i	$-0.429194\pi$
$823$	−19.5423	−	15.5845i	−0.681201	−	0.543240i	−0.901816	+	0.432121i	$0.857765\pi$
$824$	−0.691387	−	1.25485i	−0.0240856	−	0.0437149i
$825$	−0.327866	+	0.411131i	−0.0114148	+	0.0143138i
$826$	−3.27765	+	57.9118i	−0.114044	+	2.01501i
$827$	−7.63972	+	33.4718i	−0.265659	+	1.16393i	0.649349	+	0.760491i	$0.275042\pi$
$827$	−7.63972	+	33.4718i	−0.265659	+	1.16393i	−0.915007	+	0.403437i	$0.867815\pi$
$828$	−8.40491	+	23.9527i	−0.292091	+	0.832413i
$829$	−38.6652			−1.34290			−0.671448	−	0.741051i	$-0.734327\pi$
$829$	−38.6652			−1.34290			−0.671448	+	0.741051i	$0.734327\pi$
$830$	−46.3631	−	25.6504i	−1.60929	−	0.890339i
$831$	21.1862	+	43.9936i	0.734940	+	1.52612i
$832$	−0.332135	−	3.01892i	−0.0115147	−	0.104662i
$833$	2.64141	−	2.10645i	0.0915193	−	0.0729842i
$834$	−27.9901	−	8.07707i	−0.969219	−	0.279686i
$835$	18.3266	+	4.18292i	0.634217	+	0.144756i
$836$	1.51956	+	2.42307i	0.0525552	+	0.0838037i
$837$	4.89674	+	10.1682i	0.169256	+	0.351464i
$838$	−27.3425	−	7.89018i	−0.944530	−	0.272562i
$839$	−0.365677	+	0.0834634i	−0.0126246	+	0.00288148i	−0.228829	−	0.973467i	$-0.573490\pi$
$839$	−0.365677	+	0.0834634i	−0.0126246	+	0.00288148i	0.216204	+	0.976348i	$0.430632\pi$
$840$	35.1340	−	19.3578i	1.21224	−	0.667907i
$841$	7.08568	+	28.1210i	0.244334	+	0.969691i
$842$	−5.32036	−	31.3965i	−0.183352	−	1.08199i
$843$	−0.242082	−	1.06063i	−0.00833774	−	0.0365300i
$844$	46.7703	+	5.31116i	1.60990	+	0.182818i
$845$	−11.5598	−	24.0042i	−0.397669	−	0.825769i
$846$	14.3621	+	34.7162i	0.493780	+	1.19357i
$847$	7.07466	−	30.9961i	0.243088	−	1.06504i
$848$	−0.884525	−	3.90684i	−0.0303747	−	0.134161i
$849$	26.6287	−	21.2357i	0.913894	−	0.728807i
$850$	1.66358	+	1.48797i	0.0570602	+	0.0510370i
$851$	5.67332	−	2.73213i	0.194479	−	0.0936562i
$852$	−7.96073	+	22.6868i	−0.272730	+	0.777237i
$853$	−33.2948			−1.13999			−0.569996	−	0.821647i	$-0.693055\pi$
$853$	−33.2948			−1.13999			−0.569996	+	0.821647i	$0.693055\pi$
$854$	−18.6418	−	10.3136i	−0.637911	−	0.352925i
$855$	22.7554	+	5.19377i	0.778219	+	0.177623i
$856$	2.36582	+	8.25263i	0.0808622	+	0.282069i
$857$	27.2219	−	34.1351i	0.929881	−	1.16603i	−0.0559739	−	0.998432i	$-0.517826\pi$
$857$	27.2219	−	34.1351i	0.929881	−	1.16603i	0.985855	−	0.167602i	$-0.0536022\pi$
$858$	0.394774	−	0.0668973i	0.0134774	−	0.00228383i
$859$	−16.0583	+	20.1365i	−0.547903	+	0.687048i	−0.976270	−	0.216556i	$-0.930517\pi$
$859$	−16.0583	+	20.1365i	−0.547903	+	0.687048i	0.428367	+	0.903605i	$0.359089\pi$
$860$	25.9296	+	25.9750i	0.884193	+	0.885740i
$861$	−29.8058	+	23.7693i	−1.01578	+	0.810055i
$862$	−35.0045	+	39.1356i	−1.19226	+	1.33296i
$863$	−34.8124	−	16.7647i	−1.18503	−	0.570679i	−0.265655	−	0.964068i	$-0.585588\pi$
$863$	−34.8124	−	16.7647i	−1.18503	−	0.570679i	−0.919372	+	0.393390i	$0.871302\pi$
$864$	5.38100	−	3.80037i	0.183065	−	0.129291i
$865$	−7.85301	−	34.4063i	−0.267010	−	1.16985i
$866$	27.2271	−	19.3008i	0.925216	−	0.655868i
$867$	−25.3433	−	12.2047i	−0.860703	−	0.414493i
$868$	−47.8999	+	30.0392i	−1.62583	+	1.01960i
$869$		−	3.12108i		−	0.105875i
$870$	−32.5977	−	17.5601i	−1.10516	−	0.595342i
$871$	−3.08890			−0.104663
$872$	21.1412	+	23.7195i	0.715930	+	0.803244i
$873$	−8.52061	+	17.6932i	−0.288379	+	0.598825i
$874$	18.6520	+	26.3119i	0.630914	+	0.890015i
$875$	33.6251	−	7.67470i	1.13673	−	0.259452i
$876$	58.9522	−	6.59013i	1.99181	−	0.222660i
$877$	10.4494	−	21.6985i	0.352853	−	0.732706i	−0.646696	−	0.762748i	$-0.723850\pi$
$877$	10.4494	−	21.6985i	0.352853	−	0.732706i	0.999549	+	0.0300419i	$0.00956408\pi$
$878$	−21.6939	+	24.2541i	−0.732133	+	0.818537i
$879$	18.9383	+	23.7479i	0.638772	+	0.800995i
$880$	2.37226	+	1.14754i	0.0799689	+	0.0386834i
$881$	21.5730	+	17.2039i	0.726812	+	0.579613i	0.915449	−	0.402434i	$-0.131836\pi$
$881$	21.5730	+	17.2039i	0.726812	+	0.579613i	−0.188637	+	0.982047i	$0.560407\pi$
$882$	0.892908	+	5.26923i	0.0300658	+	0.177424i
$883$	0.736382	+	0.587245i	0.0247812	+	0.0197624i	0.635802	−	0.771852i	$-0.280669\pi$
$883$	0.736382	+	0.587245i	0.0247812	+	0.0197624i	−0.611021	+	0.791614i	$0.709241\pi$
$884$	−0.188803	−	1.68894i	−0.00635012	−	0.0568052i
$885$	−15.2113	+	66.6450i	−0.511321	+	2.24025i
$886$	−6.16064	−	3.40838i	−0.206971	−	0.114507i
$887$		−	11.5608i		−	0.388174i	−0.980984	−	0.194087i	$-0.937826\pi$
$887$		−	11.5608i		−	0.388174i	0.980984	−	0.194087i	$-0.0621745\pi$
$888$	8.12352	+	1.39121i	0.272608	+	0.0466858i
$889$	−1.04935	−	2.17900i	−0.0351942	−	0.0730814i
$890$	−13.5829	+	15.1859i	−0.455301	+	0.509034i
$891$	2.03017	+	2.54575i	0.0680131	+	0.0852857i
$892$	−20.8928	−	2.37255i	−0.699542	−	0.0794389i
$893$	46.5375	+	10.6219i	1.55732	+	0.355448i
$894$	−1.58409	−	3.82906i	−0.0529799	−	0.128063i
$895$	−29.0750	+	14.0018i	−0.971872	+	0.468029i
$896$	21.9161	+	24.6757i	0.732167	+	0.824358i
$897$	4.40195	−	1.00472i	0.146977	−	0.0335465i
$898$	−5.34740	+	0.906156i	−0.178445	+	0.0302388i
$899$	47.2711	+	22.1148i	1.57658	+	0.737571i
$900$	−3.33354	+	1.16319i	−0.111118	+	0.0387729i
$901$	−0.498766	−	2.18524i	−0.0166163	−	0.0728008i
$902$	−2.40626	−	0.694372i	−0.0801198	−	0.0231200i
$903$	−54.5970	+	26.2925i	−1.81688	+	0.874961i
$904$	−26.4212	−	29.6435i	−0.878755	−	0.985927i
$905$	−10.1682	+	44.5496i	−0.338001	+	1.48088i
$906$	6.34074	−	21.9731i	0.210657	−	0.730006i
$907$	−17.3137	−	21.7107i	−0.574893	−	0.720893i	0.406339	−	0.913722i	$-0.366805\pi$
$907$	−17.3137	−	21.7107i	−0.574893	−	0.720893i	−0.981232	+	0.192829i	$0.938234\pi$
$908$	22.3556	−	35.5097i	0.741896	−	1.17843i
$909$	6.78784	−	3.26885i	0.225139	−	0.108421i
$910$	−2.84007	−	1.57127i	−0.0941475	−	0.0520872i
$911$		−	44.4730i		−	1.47346i	−0.676189	−	0.736728i	$-0.736370\pi$
$911$		−	44.4730i		−	1.47346i	0.676189	−	0.736728i	$-0.263630\pi$
$912$	−0.0738124	+	42.2138i	−0.00244417	+	1.39784i
$913$	5.60304	+	1.27886i	0.185434	+	0.0423240i
$914$	33.1657	+	1.87709i	1.09702	+	0.0620886i
$915$	−19.6301	−	15.6544i	−0.648950	−	0.517520i
$916$	−20.5419	+	7.16776i	−0.678722	+	0.236829i
$917$	13.2182	−	16.5751i	0.436503	−	0.547358i
$918$	3.00726	−	2.13179i	0.0992545	−	0.0703596i
$919$	14.8842	+	18.6642i	0.490985	+	0.615676i	0.964169	−	0.265287i	$-0.0854669\pi$
$919$	14.8842	+	18.6642i	0.490985	+	0.615676i	−0.473184	+	0.880964i	$0.656895\pi$
$920$	27.4394	+	11.4079i	0.904650	+	0.376109i
$921$	42.9893	+	20.7026i	1.41655	+	0.682173i
$922$	35.7893	+	2.02558i	1.17866	+	0.0667089i
$923$	1.89663	−	0.432892i	0.0624282	−	0.0142488i
$924$	−3.07930	+	3.07392i	−0.101301	+	0.101124i
$925$	0.789085	+	0.380003i	0.0259449	+	0.0124944i
$926$	−12.6811	+	5.24620i	−0.416727	+	0.172401i
$927$	1.26817			0.0416523
$928$	8.16857	−	29.3475i	0.268146	−	0.963378i
$929$	−1.89109			−0.0620447			−0.0310224	−	0.999519i	$-0.509876\pi$
$929$	−1.89109			−0.0620447			−0.0310224	+	0.999519i	$0.509876\pi$
$930$	−61.5718	+	25.4724i	−2.01902	+	0.835272i
$931$	6.11784	+	2.94619i	0.200504	+	0.0965576i
$932$	8.22071	−	8.20635i	0.269278	−	0.268808i
$933$	−48.3275	+	11.0304i	−1.58217	+	0.361120i
$934$	−32.9117	−	1.86271i	−1.07690	−	0.0609499i
$935$	1.32854	+	0.639792i	0.0434480	+	0.0209234i
$936$	2.48235	+	1.03204i	0.0811380	+	0.0337332i
$937$	−14.7933	−	18.5502i	−0.483276	−	0.606009i	0.479090	−	0.877766i	$-0.340967\pi$
$937$	−14.7933	−	18.5502i	−0.483276	−	0.606009i	−0.962366	+	0.271757i	$0.912395\pi$
$938$	27.3833	−	19.4115i	0.894096	−	0.633807i
$939$	7.02854	−	8.81351i	0.229368	−	0.287618i
$940$	41.5255	−	14.4897i	1.35441	−	0.472601i
$941$	−5.18135	−	4.13199i	−0.168907	−	0.134699i	0.535388	−	0.844606i	$-0.320165\pi$
$941$	−5.18135	−	4.13199i	−0.168907	−	0.134699i	−0.704295	+	0.709907i	$0.748737\pi$
$942$	−69.2128	−	3.91726i	−2.25508	−	0.127631i
$943$	−27.5334	−	6.28433i	−0.896612	−	0.204646i
$944$	−56.2413	−	0.0983398i	−1.83050	−	0.00320069i
$945$		−	7.04021i		−	0.229018i
$946$	−3.48336	−	1.92717i	−0.113254	−	0.0626578i
$947$	32.4497	−	15.6269i	1.05447	−	0.507808i	0.175401	−	0.984497i	$-0.443878\pi$
$947$	32.4497	−	15.6269i	1.05447	−	0.507808i	0.879072	+	0.476689i	$0.158163\pi$
$948$	24.5423	−	38.9832i	0.797098	−	1.26612i
$949$	−2.99259	−	3.75259i	−0.0971436	−	0.121814i
$950$	−1.24374	+	4.31002i	−0.0403521	+	0.139835i
$951$	−3.78177	+	16.5690i	−0.122632	+	0.537287i
$952$	12.2875	+	13.7861i	0.398240	+	0.446809i
$953$	2.25847	−	1.08762i	0.0731590	−	0.0352315i	−0.396947	−	0.917842i	$-0.629930\pi$
$953$	2.25847	−	1.08762i	0.0731590	−	0.0352315i	0.470105	+	0.882610i	$0.344216\pi$
$954$	3.40667	+	0.983058i	0.110295	+	0.0318277i
$955$	−2.25766	−	9.89147i	−0.0730563	−	0.320081i
$956$	−16.3171	+	5.69358i	−0.527731	+	0.184143i
$957$	3.92520	+	0.849696i	0.126884	+	0.0274668i
$958$	−46.6508	+	7.90531i	−1.50722	+	0.255409i
$959$	12.9608	−	2.95821i	0.418525	−	0.0955256i
$960$	20.6067	+	32.9871i	0.665079	+	1.06466i
$961$	56.6871	−	27.2991i	1.82862	−	0.880615i
$962$	−0.254932	−	0.616221i	−0.00821932	−	0.0198678i
$963$	−7.40857	−	1.69096i	−0.238738	−	0.0544903i
$964$	−50.5168	−	5.73661i	−1.62704	−	0.184764i
$965$	−9.97803	−	12.5120i	−0.321204	−	0.402777i
$966$	−32.7096	+	36.5699i	−1.05242	+	1.17662i
$967$	10.9146	+	22.6643i	0.350989	+	0.728835i	0.999475	−	0.0323906i	$-0.0103121\pi$
$967$	10.9146	+	22.6643i	0.350989	+	0.728835i	−0.648487	+	0.761226i	$0.724598\pi$
$968$	30.3845	+	5.20354i	0.976595	+	0.167248i
$969$			23.6212i			0.758822i
$970$	20.1158	+	11.1291i	0.645880	+	0.357334i
$971$	1.35028	−	5.91596i	0.0433325	−	0.189852i	−0.948629	−	0.316390i	$-0.897529\pi$
$971$	1.35028	−	5.91596i	0.0433325	−	0.189852i	0.991962	+	0.126538i	$0.0403864\pi$
$972$	4.56285	+	40.8171i	0.146353	+	1.30921i
$973$	−20.0262	−	15.9704i	−0.642011	−	0.511987i
$974$	−6.98679	−	41.2304i	−0.223871	−	1.32111i
$975$	0.490989	+	0.391550i	0.0157242	+	0.0125396i
$976$	8.99531	−	18.5957i	0.287933	−	0.595234i
$977$	13.1569	+	16.4982i	0.420926	+	0.527825i	0.946405	−	0.322982i	$-0.104685\pi$
$977$	13.1569	+	16.4982i	0.420926	+	0.527825i	−0.525479	+	0.850807i	$0.676114\pi$
$978$	25.6749	−	28.7050i	0.820993	−	0.917884i
$979$	0.958843	−	1.99106i	0.0306447	−	0.0636345i
$980$	6.21763	−	0.695054i	0.198615	−	0.0222027i
$981$	−27.4194	+	6.25831i	−0.875436	+	0.199812i
$982$	−5.25302	−	7.41031i	−0.167631	−	0.236472i
$983$	4.20653	−	8.73495i	0.134167	−	0.278602i	−0.823051	−	0.567967i	$-0.807730\pi$
$983$	4.20653	−	8.73495i	0.134167	−	0.278602i	0.957219	+	0.289366i	$0.0934443\pi$
$984$	−24.5948	−	27.5944i	−0.784054	−	0.879676i
$985$	11.5318			0.367434
$986$	4.54208	−	16.4296i	0.144649	−	0.523226i
$987$			72.6160i			2.31139i
$988$	2.89372	−	1.81472i	0.0920616	−	0.0577339i
$989$	−40.4455	−	19.4775i	−1.28609	−	0.619349i
$990$	−1.90296	+	1.34897i	−0.0604800	+	0.0428731i
$991$	−5.30348	−	23.2361i	−0.168471	−	0.738118i	−0.986610	−	0.163098i	$-0.947851\pi$
$991$	−5.30348	−	23.2361i	−0.168471	−	0.738118i	0.818139	−	0.575020i	$-0.195006\pi$
$992$	−31.6257	−	44.7793i	−1.00412	−	1.42175i
$993$	18.0517	+	8.69324i	0.572853	+	0.275871i
$994$	−14.0933	+	15.7565i	−0.447012	+	0.499767i
$995$	−18.0506	+	14.3949i	−0.572243	+	0.456348i
$996$	59.9274	+	60.0323i	1.89887	+	1.90220i
$997$	−25.9318	+	32.5174i	−0.821268	+	1.02984i	0.177685	+	0.984087i	$0.443139\pi$
$997$	−25.9318	+	32.5174i	−0.821268	+	1.02984i	−0.998953	+	0.0457501i	$0.985432\pi$
$998$	36.6721	−	6.21436i	1.16084	−	0.196712i
$999$	0.901866	−	1.13090i	0.0285338	−	0.0357802i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	232.2.o.a.109.26	✓	168
4.3	odd	2		928.2.be.a.689.23		168
8.3	odd	2		928.2.be.a.689.6		168
8.5	even	2	inner	232.2.o.a.109.28	yes	168
29.4	even	14	inner	232.2.o.a.149.28	yes	168
116.91	odd	14		928.2.be.a.497.6		168
232.91	odd	14		928.2.be.a.497.23		168
232.149	even	14	inner	232.2.o.a.149.26	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
232.2.o.a.109.26	✓	168	1.1	even	1	trivial
232.2.o.a.109.28	yes	168	8.5	even	2	inner
232.2.o.a.149.26	yes	168	232.149	even	14	inner
232.2.o.a.149.28	yes	168	29.4	even	14	inner
928.2.be.a.497.6		168	116.91	odd	14
928.2.be.a.497.23		168	232.91	odd	14
928.2.be.a.689.6		168	8.3	odd	2
928.2.be.a.689.23		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)

\(f(q)\)	\(=\)	\(q+(1.30680 - 0.540625i) q^{2} +(-2.11365 - 1.01788i) q^{3} +(1.41545 - 1.41298i) q^{4} +(2.02045 - 0.461155i) q^{5} +(-3.31241 - 0.187473i) q^{6} +(-2.62821 - 1.26568i) q^{7} +(1.08582 - 2.61170i) q^{8} +(1.56097 + 1.95739i) q^{9} +O(q^{10})\)	\(q+(1.30680 - 0.540625i) q^{2} +(-2.11365 - 1.01788i) q^{3} +(1.41545 - 1.41298i) q^{4} +(2.02045 - 0.461155i) q^{5} +(-3.31241 - 0.187473i) q^{6} +(-2.62821 - 1.26568i) q^{7} +(1.08582 - 2.61170i) q^{8} +(1.56097 + 1.95739i) q^{9} +(2.39101 - 1.69494i) q^{10} +(-0.198204 + 0.248540i) q^{11} +(-4.43001 + 1.54578i) q^{12} +(0.296816 + 0.236703i) q^{13} +(-4.11880 - 0.233113i) q^{14} +(-4.73992 - 1.08186i) q^{15} +(0.00699413 - 3.99999i) q^{16} -2.23824i q^{17} +(3.09808 + 1.71402i) q^{18} +(4.05305 - 1.95185i) q^{19} +(2.20824 - 3.50759i) q^{20} +(4.26681 + 5.35041i) q^{21} +(-0.124646 + 0.431946i) q^{22} +(-1.12809 + 4.94250i) q^{23} +(-4.95344 + 4.41500i) q^{24} +(-0.635288 + 0.305938i) q^{25} +(0.515847 + 0.148857i) q^{26} +(0.259137 + 1.13536i) q^{27} +(-5.50848 + 1.92210i) q^{28} +(4.24769 + 3.31016i) q^{29} +(-6.77901 + 1.14875i) q^{30} +(9.44815 - 2.15648i) q^{31} +(-2.15336 - 5.23097i) q^{32} +(0.671918 - 0.323579i) q^{33} +(-1.21005 - 2.92493i) q^{34} +(-5.89384 - 1.34523i) q^{35} +(4.97521 + 0.564977i) q^{36} +(-0.774431 - 0.971105i) q^{37} +(4.24131 - 4.74185i) q^{38} +(-0.386430 - 0.802430i) q^{39} +(0.989442 - 5.77755i) q^{40} +5.57074i q^{41} +(8.46843 + 4.68517i) q^{42} +(-1.97041 + 8.63293i) q^{43} +(0.0706335 + 0.631854i) q^{44} +(4.05651 + 3.23496i) q^{45} +(1.19785 + 7.06874i) q^{46} +(8.29606 + 6.61589i) q^{47} +(-4.08630 + 8.44747i) q^{48} +(0.941120 + 1.18013i) q^{49} +(-0.664796 + 0.743252i) q^{50} +(-2.27826 + 4.73085i) q^{51} +(0.754584 - 0.0843532i) q^{52} +(0.976321 - 0.222839i) q^{53} +(0.952442 + 1.34359i) q^{54} +(-0.285846 + 0.593566i) q^{55} +(-6.15934 + 5.48981i) q^{56} -10.5535 q^{57} +(7.34043 + 2.02931i) q^{58} -14.0603i q^{59} +(-8.23776 + 5.16609i) q^{60} +(4.65285 + 2.24070i) q^{61} +(11.1810 - 7.92599i) q^{62} +(-1.62512 - 7.12012i) q^{63} +(-5.64200 - 5.67167i) q^{64} +(0.708859 + 0.341369i) q^{65} +(0.703128 - 0.786109i) q^{66} +(-6.36124 + 5.07292i) q^{67} +(-3.16258 - 3.16811i) q^{68} +(7.41527 - 9.29846i) q^{69} +(-8.42934 + 1.42841i) q^{70} +(3.19495 - 4.00634i) q^{71} +(6.80705 - 1.95141i) q^{72} +(-12.3258 - 2.81329i) q^{73} +(-1.53703 - 0.850363i) q^{74} +1.65418 q^{75} +(2.97898 - 8.48961i) q^{76} +(0.835495 - 0.402353i) q^{77} +(-0.938801 - 0.839702i) q^{78} +(-7.67599 + 6.12140i) q^{79} +(-1.83048 - 8.08502i) q^{80} +(2.27924 - 9.98599i) q^{81} +(3.01168 + 7.27985i) q^{82} +(-7.84406 - 16.2884i) q^{83} +(13.5995 + 1.54433i) q^{84} +(-1.03217 - 4.52225i) q^{85} +(2.09225 + 12.3468i) q^{86} +(-5.60878 - 11.3202i) q^{87} +(0.433900 + 0.787520i) q^{88} +(-6.77740 + 1.54690i) q^{89} +(7.04995 + 2.03439i) q^{90} +(-0.480505 - 0.997780i) q^{91} +(5.38688 + 8.58984i) q^{92} +(-22.1651 - 5.05904i) q^{93} +(14.4180 + 4.16058i) q^{94} +(7.28889 - 5.81269i) q^{95} +(-0.773060 + 13.2483i) q^{96} +(3.40335 + 7.06713i) q^{97} +(1.86786 + 1.03340i) q^{98} -0.795880 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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