LMFDB - Embedded newform 966.2.r.a.113.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(113,966)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(966, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 0, 13]))

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

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

chi := DirichletCharacter("966.113");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.r (of order $22$, degree $10$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$24$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			113.17
Character	$\chi$	$=$	966.113
Dual form			966.2.r.a.701.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.540641 - 0.841254i) q^{2} +(-0.628320 - 1.61407i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(-2.58447 - 0.758869i) q^{5} +(-1.69754 - 0.344054i) q^{6} +(0.755750 + 0.654861i) q^{7} +(-0.989821 - 0.142315i) q^{8} +(-2.21043 + 2.02830i) q^{9} +O(q^{10})$	\(q+(0.540641 - 0.841254i) q^{2} +(-0.628320 - 1.61407i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(-2.58447 - 0.758869i) q^{5} +(-1.69754 - 0.344054i) q^{6} +(0.755750 + 0.654861i) q^{7} +(-0.989821 - 0.142315i) q^{8} +(-2.21043 + 2.02830i) q^{9} +(-2.03567 + 1.76392i) q^{10} +(-2.53298 + 1.62785i) q^{11} +(-1.20719 + 1.24205i) q^{12} +(4.19717 + 4.84380i) q^{13} +(0.959493 - 0.281733i) q^{14} +(0.399009 + 4.64832i) q^{15} +(-0.654861 + 0.755750i) q^{16} +(-0.169443 + 0.371028i) q^{17} +(0.511269 + 2.95611i) q^{18} +(-2.00442 + 0.915386i) q^{19} +(0.383336 + 2.66616i) q^{20} +(0.582137 - 1.63129i) q^{21} +3.01096i q^{22} +(-3.81055 - 2.91200i) q^{23} +(0.392219 + 1.68706i) q^{24} +(1.89734 + 1.21935i) q^{25} +(6.34402 - 0.912133i) q^{26} +(4.66267 + 2.29336i) q^{27} +(0.281733 - 0.959493i) q^{28} +(1.04202 + 0.475875i) q^{29} +(4.12614 + 2.17741i) q^{30} +(-0.461944 + 3.21289i) q^{31} +(0.281733 + 0.959493i) q^{32} +(4.21898 + 3.06559i) q^{33} +(0.220521 + 0.343137i) q^{34} +(-1.45626 - 2.26598i) q^{35} +(2.76325 + 1.16809i) q^{36} +(-0.703125 - 2.39462i) q^{37} +(-0.313597 + 2.18112i) q^{38} +(5.18105 - 9.81797i) q^{39} +(2.45017 + 1.11895i) q^{40} +(0.985879 - 3.35759i) q^{41} +(-1.05760 - 1.37167i) q^{42} +(4.12471 - 0.593043i) q^{43} +(2.53298 + 1.62785i) q^{44} +(7.25200 - 3.56466i) q^{45} +(-4.50987 + 1.63129i) q^{46} +11.4007i q^{47} +(1.63129 + 0.582137i) q^{48} +(0.142315 + 0.989821i) q^{49} +(2.05156 - 0.936916i) q^{50} +(0.705329 + 0.0403678i) q^{51} +(2.66250 - 5.83007i) q^{52} +(0.893468 - 1.03112i) q^{53} +(4.45013 - 2.68261i) q^{54} +(7.78175 - 2.28493i) q^{55} +(-0.654861 - 0.755750i) q^{56} +(2.73691 + 2.66011i) q^{57} +(0.963691 - 0.619327i) q^{58} +(-6.60957 + 5.72723i) q^{59} +(4.06251 - 2.29394i) q^{60} +(-11.9290 - 1.71514i) q^{61} +(2.45311 + 2.12563i) q^{62} +(-2.99879 + 0.0853662i) q^{63} +(0.959493 + 0.281733i) q^{64} +(-7.17167 - 15.7038i) q^{65} +(4.85990 - 1.89185i) q^{66} +(4.09782 - 6.37633i) q^{67} +0.407888 q^{68} +(-2.30592 + 7.98015i) q^{69} -2.69358 q^{70} +(-5.46033 + 8.49644i) q^{71} +(2.47659 - 1.69308i) q^{72} +(6.68946 + 14.6479i) q^{73} +(-2.39462 - 0.703125i) q^{74} +(0.775971 - 3.82858i) q^{75} +(1.66533 + 1.44302i) q^{76} +(-2.98032 - 0.428505i) q^{77} +(-5.45832 - 9.66657i) q^{78} +(-4.84040 + 4.19423i) q^{79} +(2.26598 - 1.45626i) q^{80} +(0.771981 - 8.96683i) q^{81} +(-2.29158 - 2.64463i) q^{82} +(-6.80404 + 1.99785i) q^{83} +(-1.72570 + 0.148133i) q^{84} +(0.719482 - 0.830327i) q^{85} +(1.73108 - 3.79055i) q^{86} +(0.113372 - 1.98089i) q^{87} +(2.73887 - 1.25080i) q^{88} +(1.00754 + 7.00759i) q^{89} +(0.921943 - 8.02798i) q^{90} +6.40926i q^{91} +(-1.06589 + 4.67588i) q^{92} +(5.47607 - 1.27312i) q^{93} +(9.59089 + 6.16369i) q^{94} +(5.87502 - 0.844700i) q^{95} +(1.37167 - 1.05760i) q^{96} +(2.44436 - 8.32472i) q^{97} +(0.909632 + 0.415415i) q^{98} +(2.29721 - 8.73590i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 4 q^{3} + 24 q^{4} - 4 q^{5} + 4 q^{9}+O(q^{10}) $ 240 * q - 4 * q^3 + 24 * q^4 - 4 * q^5 + 4 * q^9	$ 240 q - 4 q^{3} + 24 q^{4} - 4 q^{5} + 4 q^{9} + 4 q^{12} - 8 q^{13} + 24 q^{14} + 18 q^{15} - 24 q^{16} + 32 q^{17} - 4 q^{18} + 4 q^{20} - 8 q^{23} + 12 q^{25} - 148 q^{27} + 40 q^{30} + 16 q^{31} + 42 q^{33} - 4 q^{36} + 22 q^{37} + 8 q^{39} + 154 q^{41} + 4 q^{42} + 22 q^{43} + 24 q^{45} + 4 q^{46} - 4 q^{48} + 24 q^{49} + 88 q^{50} + 24 q^{51} + 8 q^{52} - 108 q^{53} + 12 q^{54} - 16 q^{55} - 24 q^{56} - 62 q^{57} - 4 q^{58} + 22 q^{59} - 18 q^{60} - 4 q^{63} + 24 q^{64} - 100 q^{66} - 44 q^{67} - 32 q^{68} - 86 q^{69} + 4 q^{70} + 4 q^{72} - 12 q^{73} - 16 q^{74} - 26 q^{75} - 78 q^{78} - 4 q^{80} + 52 q^{81} + 8 q^{82} + 16 q^{83} - 28 q^{85} + 16 q^{86} - 196 q^{87} + 24 q^{89} + 126 q^{90} + 8 q^{92} - 16 q^{93} - 8 q^{94} + 132 q^{97} + 172 q^{99}+O(q^{100}) $ 240 * q - 4 * q^3 + 24 * q^4 - 4 * q^5 + 4 * q^9 + 4 * q^12 - 8 * q^13 + 24 * q^14 + 18 * q^15 - 24 * q^16 + 32 * q^17 - 4 * q^18 + 4 * q^20 - 8 * q^23 + 12 * q^25 - 148 * q^27 + 40 * q^30 + 16 * q^31 + 42 * q^33 - 4 * q^36 + 22 * q^37 + 8 * q^39 + 154 * q^41 + 4 * q^42 + 22 * q^43 + 24 * q^45 + 4 * q^46 - 4 * q^48 + 24 * q^49 + 88 * q^50 + 24 * q^51 + 8 * q^52 - 108 * q^53 + 12 * q^54 - 16 * q^55 - 24 * q^56 - 62 * q^57 - 4 * q^58 + 22 * q^59 - 18 * q^60 - 4 * q^63 + 24 * q^64 - 100 * q^66 - 44 * q^67 - 32 * q^68 - 86 * q^69 + 4 * q^70 + 4 * q^72 - 12 * q^73 - 16 * q^74 - 26 * q^75 - 78 * q^78 - 4 * q^80 + 52 * q^81 + 8 * q^82 + 16 * q^83 - 28 * q^85 + 16 * q^86 - 196 * q^87 + 24 * q^89 + 126 * q^90 + 8 * q^92 - 16 * q^93 - 8 * q^94 + 132 * q^97 + 172 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/966\mathbb{Z}\right)^\times$.

$n$	$323$	$829$	$925$
$\chi(n)$	$-1$	$1$	$e\left(\frac{13}{22}\right)$

Coefficient data

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

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

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

$2$	0.540641	−	0.841254i	0.382291	−	0.594856i
$2$	0.540641	−	0.841254i	0.382291	−	0.594856i
$3$	−0.628320	−	1.61407i	−0.362761	−	0.931882i
$3$	−0.628320	−	1.61407i	−0.362761	−	0.931882i
$4$	−0.415415	−	0.909632i	−0.207708	−	0.454816i
$5$	−2.58447	−	0.758869i	−1.15581	−	0.339377i	−0.353007	−	0.935621i	$-0.614841\pi$
$5$	−2.58447	−	0.758869i	−1.15581	−	0.339377i	−0.802803	+	0.596244i	$0.796659\pi$
$6$	−1.69754	−	0.344054i	−0.693016	−	0.140460i
$7$	0.755750	+	0.654861i	0.285646	+	0.247514i
$7$	0.755750	+	0.654861i	0.285646	+	0.247514i
$8$	−0.989821	−	0.142315i	−0.349955	−	0.0503159i
$9$	−2.21043	+	2.02830i	−0.736809	+	0.676101i
$10$	−2.03567	+	1.76392i	−0.643736	+	0.557800i
$11$	−2.53298	+	1.62785i	−0.763723	+	0.490815i	−0.863596	−	0.504185i	$-0.831793\pi$
$11$	−2.53298	+	1.62785i	−0.763723	+	0.490815i	0.0998725	+	0.995000i	$0.468157\pi$
$12$	−1.20719	+	1.24205i	−0.348487	+	0.358548i
$13$	4.19717	+	4.84380i	1.16409	+	1.34343i	0.928393	+	0.371600i	$0.121191\pi$
$13$	4.19717	+	4.84380i	1.16409	+	1.34343i	0.235693	+	0.971827i	$0.424264\pi$
$14$	0.959493	−	0.281733i	0.256435	−	0.0752962i
$15$	0.399009	+	4.64832i	0.103024	+	1.20019i
$16$	−0.654861	+	0.755750i	−0.163715	+	0.188937i
$17$	−0.169443	+	0.371028i	−0.0410959	+	0.0899875i	−0.929066	−	0.369913i	$-0.879388\pi$
$17$	−0.169443	+	0.371028i	−0.0410959	+	0.0899875i	0.887971	+	0.459900i	$0.152115\pi$
$18$	0.511269	+	2.95611i	0.120507	+	0.696763i
$19$	−2.00442	+	0.915386i	−0.459845	+	0.210004i	−0.631848	−	0.775092i	$-0.717703\pi$
$19$	−2.00442	+	0.915386i	−0.459845	+	0.210004i	0.172003	+	0.985096i	$0.444976\pi$
$20$	0.383336	+	2.66616i	0.0857166	+	0.596172i
$21$	0.582137	−	1.63129i	0.127033	−	0.355977i
$22$			3.01096i			0.641939i
$23$	−3.81055	−	2.91200i	−0.794554	−	0.607193i
$23$	−3.81055	−	2.91200i	−0.794554	−	0.607193i
$24$	0.392219	+	1.68706i	0.0800614	+	0.344369i
$25$	1.89734	+	1.21935i	0.379468	+	0.243870i
$26$	6.34402	−	0.912133i	1.24417	−	0.178884i
$27$	4.66267	+	2.29336i	0.897332	+	0.441357i
$28$	0.281733	−	0.959493i	0.0532424	−	0.181327i
$29$	1.04202	+	0.475875i	0.193499	+	0.0883678i	0.509808	−	0.860288i	$-0.329716\pi$
$29$	1.04202	+	0.475875i	0.193499	+	0.0883678i	−0.316309	+	0.948656i	$0.602444\pi$
$30$	4.12614	+	2.17741i	0.753327	+	0.397538i
$31$	−0.461944	+	3.21289i	−0.0829676	+	0.577052i	0.905353	+	0.424661i	$0.139607\pi$
$31$	−0.461944	+	3.21289i	−0.0829676	+	0.577052i	−0.988320	+	0.152392i	$0.951303\pi$
$32$	0.281733	+	0.959493i	0.0498038	+	0.169616i
$33$	4.21898	+	3.06559i	0.734431	+	0.533652i
$34$	0.220521	+	0.343137i	0.0378190	+	0.0588476i
$35$	−1.45626	−	2.26598i	−0.246153	−	0.383021i
$36$	2.76325	+	1.16809i	0.460542	+	0.194681i
$37$	−0.703125	−	2.39462i	−0.115593	−	0.393674i	0.881289	−	0.472577i	$-0.156676\pi$
$37$	−0.703125	−	2.39462i	−0.115593	−	0.393674i	−0.996882	+	0.0789035i	$0.974858\pi$
$38$	−0.313597	+	2.18112i	−0.0508722	+	0.353824i
$39$	5.18105	−	9.81797i	0.829631	−	1.57213i
$40$	2.45017	+	1.11895i	0.387405	+	0.176922i
$41$	0.985879	−	3.35759i	0.153968	−	0.524368i	−0.845993	−	0.533194i	$-0.820991\pi$
$41$	0.985879	−	3.35759i	0.153968	−	0.524368i	0.999961	+	0.00882643i	$0.00280958\pi$
$42$	−1.05760	−	1.37167i	−0.163192	−	0.211653i
$43$	4.12471	−	0.593043i	0.629012	−	0.0904382i	0.179566	−	0.983746i	$-0.442531\pi$
$43$	4.12471	−	0.593043i	0.629012	−	0.0904382i	0.449446	+	0.893308i	$0.351622\pi$
$44$	2.53298	+	1.62785i	0.381862	+	0.245407i
$45$	7.25200	−	3.56466i	1.08106	−	0.531389i
$46$	−4.50987	+	1.63129i	−0.664943	+	0.240521i
$47$			11.4007i			1.66296i	0.555551	+	0.831482i	$0.312507\pi$
$47$			11.4007i			1.66296i	−0.555551	+	0.831482i	$0.687493\pi$
$48$	1.63129	+	0.582137i	0.235457	+	0.0840242i
$49$	0.142315	+	0.989821i	0.0203307	+	0.141403i
$50$	2.05156	−	0.936916i	0.290135	−	0.132500i
$51$	0.705329	+	0.0403678i	0.0987658	+	0.00565262i
$52$	2.66250	−	5.83007i	0.369223	−	0.808485i
$53$	0.893468	−	1.03112i	0.122727	−	0.141635i	−0.691061	−	0.722797i	$-0.742856\pi$
$53$	0.893468	−	1.03112i	0.122727	−	0.141635i	0.813788	+	0.581162i	$0.197402\pi$
$54$	4.45013	−	2.68261i	0.605585	−	0.365057i
$55$	7.78175	−	2.28493i	1.04929	−	0.308099i
$56$	−0.654861	−	0.755750i	−0.0875094	−	0.100991i
$57$	2.73691	+	2.66011i	0.362513	+	0.352340i
$58$	0.963691	−	0.619327i	0.126539	−	0.0813216i
$59$	−6.60957	+	5.72723i	−0.860493	+	0.745622i	−0.968628	−	0.248515i	$-0.920058\pi$
$59$	−6.60957	+	5.72723i	−0.860493	+	0.745622i	0.108135	+	0.994136i	$0.465512\pi$
$60$	4.06251	−	2.29394i	0.524468	−	0.296146i
$61$	−11.9290	−	1.71514i	−1.52736	−	0.219601i	−0.673139	−	0.739516i	$-0.735054\pi$
$61$	−11.9290	−	1.71514i	−1.52736	−	0.219601i	−0.854218	+	0.519915i	$0.825963\pi$
$62$	2.45311	+	2.12563i	0.311545	+	0.269956i
$63$	−2.99879	+	0.0853662i	−0.377811	+	0.0107551i
$64$	0.959493	+	0.281733i	0.119937	+	0.0352166i
$65$	−7.17167	−	15.7038i	−0.889536	−	1.94781i
$66$	4.85990	−	1.89185i	0.598212	−	0.232870i
$67$	4.09782	−	6.37633i	0.500629	−	0.778993i	−0.495340	−	0.868699i	$-0.664956\pi$
$67$	4.09782	−	6.37633i	0.500629	−	0.778993i	0.995968	+	0.0897062i	$0.0285928\pi$
$68$	0.407888			0.0494637
$69$	−2.30592	+	7.98015i	−0.277600	+	0.960697i
$70$	−2.69358			−0.321944
$71$	−5.46033	+	8.49644i	−0.648022	+	1.00834i	0.349427	+	0.936963i	$0.386376\pi$
$71$	−5.46033	+	8.49644i	−0.648022	+	1.00834i	−0.997449	+	0.0713782i	$0.977260\pi$
$72$	2.47659	−	1.69308i	0.291868	−	0.199531i
$73$	6.68946	+	14.6479i	0.782942	+	1.71440i	0.695831	+	0.718205i	$0.255036\pi$
$73$	6.68946	+	14.6479i	0.782942	+	1.71440i	0.0871110	+	0.996199i	$0.472237\pi$
$74$	−2.39462	−	0.703125i	−0.278369	−	0.0817367i
$75$	0.775971	−	3.82858i	0.0896014	−	0.442086i
$76$	1.66533	+	1.44302i	0.191026	+	0.165525i
$77$	−2.98032	−	0.428505i	−0.339638	−	0.0488326i
$78$	−5.45832	−	9.66657i	−0.618033	−	1.09452i
$79$	−4.84040	+	4.19423i	−0.544587	+	0.471887i	−0.883173	−	0.469048i	$-0.844597\pi$
$79$	−4.84040	+	4.19423i	−0.544587	+	0.471887i	0.338585	+	0.940936i	$0.390052\pi$
$80$	2.26598	−	1.45626i	0.253345	−	0.162815i
$81$	0.771981	−	8.96683i	0.0857757	−	0.996314i
$82$	−2.29158	−	2.64463i	−0.253063	−	0.292050i
$83$	−6.80404	+	1.99785i	−0.746840	+	0.219292i	−0.632941	−	0.774200i	$-0.718152\pi$
$83$	−6.80404	+	1.99785i	−0.746840	+	0.219292i	−0.113899	+	0.993492i	$0.536334\pi$
$84$	−1.72570	+	0.148133i	−0.188290	+	0.0161627i
$85$	0.719482	−	0.830327i	0.0780388	−	0.0900616i
$86$	1.73108	−	3.79055i	0.186668	−	0.408745i
$87$	0.113372	−	1.98089i	0.0121547	−	0.212374i
$88$	2.73887	−	1.25080i	0.291964	−	0.133336i
$89$	1.00754	+	7.00759i	0.106799	+	0.742803i	0.970900	+	0.239485i	$0.0769785\pi$
$89$	1.00754	+	7.00759i	0.106799	+	0.742803i	−0.864101	+	0.503318i	$0.832112\pi$
$90$	0.921943	−	8.02798i	0.0971814	−	0.846223i
$91$			6.40926i			0.671873i
$92$	−1.06589	+	4.67588i	−0.111126	+	0.487495i
$93$	5.47607	−	1.27312i	0.567842	−	0.132016i
$94$	9.59089	+	6.16369i	0.989225	+	0.635736i
$95$	5.87502	−	0.844700i	0.602764	−	0.0866644i
$96$	1.37167	−	1.05760i	0.139995	−	0.107941i
$97$	2.44436	−	8.32472i	0.248187	−	0.845247i	−0.737310	−	0.675554i	$-0.763904\pi$
$97$	2.44436	−	8.32472i	0.248187	−	0.845247i	0.985497	−	0.169693i	$-0.0542775\pi$
$98$	0.909632	+	0.415415i	0.0918867	+	0.0419633i
$99$	2.29721	−	8.73590i	0.230878	−	0.877991i
$100$	0.320973	−	2.23242i	0.0320973	−	0.223242i
$101$	1.78320	+	6.07303i	0.177435	+	0.604290i	0.999396	+	0.0347454i	$0.0110620\pi$
$101$	1.78320	+	6.07303i	0.177435	+	0.604290i	−0.821961	+	0.569544i	$0.807120\pi$
$102$	0.415289	−	0.571536i	0.0411197	−	0.0565905i
$103$	4.87592	+	7.58707i	0.480438	+	0.747577i	0.993870	−	0.110554i	$-0.0352624\pi$
$103$	4.87592	+	7.58707i	0.480438	+	0.747577i	−0.513432	+	0.858130i	$0.671626\pi$
$104$	−3.46511	−	5.39181i	−0.339782	−	0.528711i
$105$	−2.74245	+	3.77426i	−0.267636	+	0.368330i
$106$	−0.384386	−	1.30910i	−0.0373348	−	0.127151i
$107$	−0.531732	+	3.69828i	−0.0514045	+	0.357526i	0.947843	+	0.318738i	$0.103259\pi$
$107$	−0.531732	+	3.69828i	−0.0514045	+	0.357526i	−0.999247	+	0.0387884i	$0.987650\pi$
$108$	0.149166	−	5.19401i	0.0143535	−	0.499794i
$109$	−4.13587	−	1.88879i	−0.396145	−	0.180913i	0.207375	−	0.978262i	$-0.433508\pi$
$109$	−4.13587	−	1.88879i	−0.396145	−	0.180913i	−0.603519	+	0.797348i	$0.706235\pi$
$110$	2.28493	−	7.78175i	0.217859	−	0.741960i
$111$	−3.42330	+	2.63948i	−0.324925	+	0.250529i
$112$	−0.989821	+	0.142315i	−0.0935293	+	0.0134475i
$113$	−5.36955	−	3.45080i	−0.505125	−	0.324624i	0.263138	−	0.964758i	$-0.415242\pi$
$113$	−5.36955	−	3.45080i	−0.505125	−	0.324624i	−0.768263	+	0.640134i	$0.778879\pi$
$114$	3.71751	−	0.864273i	0.348177	−	0.0809466i
$115$	7.63843	+	10.4177i	0.712287	+	0.971454i
$116$		−	1.14554i		−	0.106361i
$117$	−19.1022	−	2.19373i	−1.76600	−	0.202810i
$118$	1.24465	+	8.65670i	0.114579	+	0.796914i
$119$	−0.371028	+	0.169443i	−0.0340121	+	0.0155328i
$120$	0.266578	−	4.65780i	0.0243351	−	0.425197i
$121$	−0.803456	+	1.75932i	−0.0730415	+	0.159939i
$122$	−7.89219	+	9.10807i	−0.714525	+	0.824606i
$123$	−6.03883	+	0.518369i	−0.544503	+	0.0467398i
$124$	3.11445	−	0.914484i	0.279686	−	0.0821231i
$125$	4.84130	+	5.58716i	0.433019	+	0.499731i
$126$	−1.54945	+	2.56889i	−0.138036	+	0.228855i
$127$	−4.30135	+	2.76431i	−0.381683	+	0.245293i	−0.717387	−	0.696675i	$-0.754662\pi$
$127$	−4.30135	+	2.76431i	−0.381683	+	0.245293i	0.335704	+	0.941967i	$0.391026\pi$
$128$	0.755750	−	0.654861i	0.0667995	−	0.0578821i
$129$	−3.54885	−	6.28493i	−0.312459	−	0.553357i
$130$	−17.0881	−	2.45690i	−1.49873	−	0.215485i
$131$	−14.3752	−	12.4562i	−1.25597	−	1.08830i	−0.992321	−	0.123686i	$-0.960529\pi$
$131$	−14.3752	−	12.4562i	−1.25597	−	1.08830i	−0.263649	−	0.964619i	$-0.584926\pi$
$132$	1.03593	−	5.11122i	0.0901665	−	0.444874i
$133$	−2.11429	−	0.620811i	−0.183332	−	0.0538311i
$134$	−3.14866	−	6.89461i	−0.272003	−	0.595604i
$135$	−10.3102	−	9.46547i	−0.887360	−	0.814658i
$136$	0.220521	−	0.343137i	0.0189095	−	0.0294238i
$137$	5.50006			0.469902			0.234951	−	0.972007i	$-0.424507\pi$
$137$	5.50006			0.469902			0.234951	+	0.972007i	$0.424507\pi$
$138$	5.46665	+	6.25425i	0.465353	+	0.532397i
$139$	−7.81851			−0.663157			−0.331579	−	0.943428i	$-0.607581\pi$
$139$	−7.81851			−0.663157			−0.331579	+	0.943428i	$0.607581\pi$
$140$	−1.45626	+	2.26598i	−0.123076	+	0.191511i
$141$	18.4015	−	7.16330i	1.54969	−	0.603258i
$142$	4.19558	+	9.18704i	0.352085	+	0.770959i
$143$	−18.5163	−	5.43689i	−1.54841	−	0.454655i
$144$	−0.0853662	−	2.99879i	−0.00711385	−	0.249899i
$145$	−2.33195	−	2.02064i	−0.193658	−	0.167805i
$146$	15.9392	+	2.29171i	1.31914	+	0.189663i
$147$	1.50822	−	0.851630i	0.124396	−	0.0702413i
$148$	−1.88614	+	1.63435i	−0.155040	+	0.134343i
$149$	17.5850	−	11.3012i	1.44062	−	0.925832i	0.441024	−	0.897495i	$-0.354615\pi$
$149$	17.5850	−	11.3012i	1.44062	−	0.925832i	0.999598	−	0.0283365i	$-0.00902100\pi$
$150$	−2.80128	−	2.72267i	−0.228724	−	0.222305i
$151$	−6.45218	−	7.44621i	−0.525071	−	0.605964i	0.429822	−	0.902913i	$-0.358576\pi$
$151$	−6.45218	−	7.44621i	−0.525071	−	0.605964i	−0.954893	+	0.296950i	$0.904031\pi$
$152$	2.11429	−	0.620811i	0.171491	−	0.0503544i
$153$	−0.378016	−	1.16381i	−0.0305608	−	0.0940886i
$154$	−1.97176	+	2.27553i	−0.158889	+	0.183368i
$155$	3.63204	−	7.95307i	0.291733	−	0.638806i
$156$	−11.0830	−	0.634310i	−0.887352	−	0.0507855i
$157$	−20.1379	+	9.19668i	−1.60718	+	0.733975i	−0.998244	−	0.0592440i	$-0.981131\pi$
$157$	−20.1379	+	9.19668i	−1.60718	+	0.733975i	−0.608937	+	0.793219i	$0.708404\pi$
$158$	0.911493	+	6.33957i	0.0725145	+	0.504349i
$159$	−2.22568	−	0.794246i	−0.176508	−	0.0629878i
$160$		−	2.69358i		−	0.212946i
$161$	−0.972867	−	4.69612i	−0.0766727	−	0.370106i
$162$	−7.12601	−	5.49727i	−0.559872	−	0.431906i
$163$	−19.0715	−	12.2565i	−1.49379	−	0.960004i	−0.995676	−	0.0928948i	$-0.970388\pi$
$163$	−19.0715	−	12.2565i	−1.49379	−	0.960004i	−0.498119	−	0.867109i	$-0.665976\pi$
$164$	−3.46372	+	0.498008i	−0.270471	+	0.0388879i
$165$	−8.57745	−	11.1246i	−0.667754	−	0.866049i
$166$	−1.99785	+	6.80404i	−0.155063	+	0.528096i
$167$	16.6470	+	7.60242i	1.28818	+	0.588293i	0.937429	−	0.348176i	$-0.113199\pi$
$167$	16.6470	+	7.60242i	1.28818	+	0.588293i	0.350752	+	0.936468i	$0.385926\pi$
$168$	−0.808369	+	1.53184i	−0.0623670	+	0.118184i
$169$	−3.99600	+	27.7928i	−0.307385	+	2.13791i
$170$	−0.309534	−	1.05418i	−0.0237402	−	0.0808515i
$171$	2.57394	−	6.08896i	0.196834	−	0.465634i
$172$	−2.25292	−	3.50561i	−0.171783	−	0.267300i
$173$	5.79640	+	9.01938i	0.440692	+	0.685731i	0.988559	−	0.150835i	$-0.0481962\pi$
$173$	5.79640	+	9.01938i	0.440692	+	0.685731i	−0.547867	+	0.836566i	$0.684560\pi$
$174$	−1.60514	−	1.16633i	−0.121685	−	0.0884190i
$175$	0.635412	+	2.16402i	0.0480327	+	0.163584i
$176$	0.428505	−	2.98032i	0.0322998	−	0.224650i
$177$	13.3971	+	7.06977i	1.00698	+	0.531396i
$178$	6.43987	+	2.94099i	0.482689	+	0.220437i
$179$	−1.66725	+	5.67812i	−0.124616	+	0.424402i	−0.998042	−	0.0625550i	$-0.980075\pi$
$179$	−1.66725	+	5.67812i	−0.124616	+	0.424402i	0.873426	+	0.486957i	$0.161893\pi$
$180$	−6.25512	−	5.11584i	−0.466229	−	0.381312i
$181$	21.8818	−	3.14613i	1.62646	−	0.233850i	0.732100	−	0.681197i	$-0.238540\pi$
$181$	21.8818	−	3.14613i	1.62646	−	0.233850i	0.894360	+	0.447347i	$0.147631\pi$
$182$	5.39181	+	3.46511i	0.399668	+	0.256851i
$183$	4.72691	+	20.3319i	0.349423	+	1.50298i
$184$	3.35734	+	3.42465i	0.247506	+	0.252469i
$185$			6.72242i			0.494242i
$186$	1.88957	−	5.29506i	0.138550	−	0.388253i
$187$	−0.174782	−	1.21564i	−0.0127813	−	0.0888961i
$188$	10.3705	−	4.73603i	0.756343	−	0.345410i
$189$	2.02198	+	4.78660i	0.147078	+	0.348174i
$190$	2.46567	−	5.39906i	0.178878	−	0.391689i
$191$	4.59116	−	5.29848i	0.332204	−	0.383384i	−0.564932	−	0.825137i	$-0.691098\pi$
$191$	4.59116	−	5.29848i	0.332204	−	0.383384i	0.897137	+	0.441753i	$0.145643\pi$
$192$	−0.148133	−	1.72570i	−0.0106906	−	0.124542i
$193$	−10.8761	+	3.19351i	−0.782878	+	0.229874i	−0.648660	−	0.761078i	$-0.724670\pi$
$193$	−10.8761	+	3.19351i	−0.782878	+	0.229874i	−0.134218	+	0.990952i	$0.542852\pi$
$194$	−5.68168	−	6.55701i	−0.407921	−	0.470766i
$195$	−20.8408	+	21.4425i	−1.49244	+	1.53553i
$196$	0.841254	−	0.540641i	0.0600895	−	0.0386172i
$197$	−14.1388	+	12.2513i	−1.00735	+	0.872870i	−0.991901	−	0.127011i	$-0.959462\pi$
$197$	−14.1388	+	12.2513i	−1.00735	+	0.872870i	−0.0154445	+	0.999881i	$0.504916\pi$
$198$	−6.10714	−	6.65551i	−0.434016	−	0.472987i
$199$	1.27383	+	0.183149i	0.0902993	+	0.0129831i	0.187316	−	0.982300i	$-0.440021\pi$
$199$	1.27383	+	0.183149i	0.0902993	+	0.0129831i	−0.0970170	+	0.995283i	$0.530930\pi$
$200$	−1.70450	−	1.47696i	−0.120526	−	0.104437i
$201$	−12.8666	−	2.60778i	−0.907538	−	0.183939i
$202$	6.07303	+	1.78320i	0.427297	+	0.125466i
$203$	0.475875	+	1.04202i	0.0333999	+	0.0731356i
$204$	−0.256284	−	0.658359i	−0.0179435	−	0.0460943i
$205$	−5.09595	+	7.92945i	−0.355917	+	0.553817i
$206$	9.01877			0.628368
$207$	14.3293	−	1.29218i	0.995959	−	0.0898129i
$208$	−6.40926			−0.444402
$209$	3.58704	−	5.58155i	0.248121	−	0.386084i
$210$	1.69243	+	4.34762i	0.116789	+	0.300014i
$211$	−5.49349	−	12.0291i	−0.378187	−	0.828115i	−0.999024	−	0.0441746i	$-0.985934\pi$
$211$	−5.49349	−	12.0291i	−0.378187	−	0.828115i	0.620837	−	0.783940i	$-0.286793\pi$
$212$	−1.30910	−	0.384386i	−0.0899092	−	0.0263997i
$213$	17.1447	+	3.47486i	1.17473	+	0.238093i
$214$	2.82371	+	2.44676i	0.193025	+	0.167257i
$215$	−11.1102	−	1.59741i	−0.757711	−	0.108942i
$216$	−4.28883	−	2.93358i	−0.291818	−	0.199605i
$217$	−2.45311	+	2.12563i	−0.166528	+	0.144297i
$218$	−3.82497	+	2.45816i	−0.259060	+	0.166488i
$219$	19.4395	−	20.0008i	1.31360	−	1.35153i
$220$	−5.31110	−	6.12933i	−0.358074	−	0.413239i
$221$	−2.50837	+	0.736523i	−0.168731	+	0.0495439i
$222$	0.369699	+	4.30687i	0.0248126	+	0.289058i
$223$	−1.70708	+	1.97007i	−0.114314	+	0.131926i	−0.810023	−	0.586399i	$-0.800545\pi$
$223$	−1.70708	+	1.97007i	−0.114314	+	0.131926i	0.695708	+	0.718324i	$0.255091\pi$
$224$	−0.415415	+	0.909632i	−0.0277561	+	0.0607773i
$225$	−6.66714	+	1.15310i	−0.444476	+	0.0768735i
$226$	−5.80600	+	2.65151i	−0.386209	+	0.176376i
$227$	−0.742956	−	5.16737i	−0.0493117	−	0.342971i	−0.999509	−	0.0313225i	$-0.990028\pi$
$227$	−0.742956	−	5.16737i	−0.0493117	−	0.342971i	0.950198	−	0.311648i	$-0.100881\pi$
$228$	1.28277	−	3.59463i	0.0849532	−	0.238060i
$229$		−	23.2900i		−	1.53905i	−0.638618	−	0.769524i	$-0.720493\pi$
$229$		−	23.2900i		−	1.53905i	0.638618	−	0.769524i	$-0.279507\pi$
$230$	12.8936	−	0.793630i	0.850176	−	0.0523304i
$231$	1.18096	+	5.07967i	0.0777012	+	0.334218i
$232$	−0.963691	−	0.619327i	−0.0632694	−	0.0406608i
$233$	2.72163	−	0.391311i	0.178300	−	0.0256356i	−0.0525866	−	0.998616i	$-0.516747\pi$
$233$	2.72163	−	0.391311i	0.178300	−	0.0256356i	0.230886	+	0.972981i	$0.425837\pi$
$234$	−12.1729	+	14.8838i	−0.795769	+	0.972984i
$235$	8.65165	−	29.4648i	0.564371	−	1.92207i
$236$	7.95539	+	3.63310i	0.517852	+	0.236495i
$237$	9.81108	+	5.17741i	0.637298	+	0.336309i
$238$	−0.0580485	+	0.403736i	−0.00376273	+	0.0261703i
$239$	2.13498	+	7.27108i	0.138101	+	0.470327i	0.999279	−	0.0379761i	$-0.0120911\pi$
$239$	2.13498	+	7.27108i	0.138101	+	0.470327i	−0.861178	+	0.508303i	$0.830273\pi$
$240$	−3.77426	−	2.74245i	−0.243628	−	0.177025i
$241$	6.17692	+	9.61148i	0.397891	+	0.619130i	0.981171	−	0.193141i	$-0.0618675\pi$
$241$	6.17692	+	9.61148i	0.397891	+	0.619130i	−0.583280	+	0.812271i	$0.698231\pi$
$242$	1.04566	+	1.62707i	0.0672173	+	0.104592i
$243$	−14.9581	+	4.38801i	−0.959564	+	0.281491i
$244$	3.39536	+	11.5635i	0.217366	+	0.740279i
$245$	0.383336	−	2.66616i	0.0244905	−	0.170335i
$246$	−2.82876	+	5.36044i	−0.180355	+	0.341769i
$247$	−12.8468	−	5.86695i	−0.817424	−	0.373305i
$248$	0.914484	−	3.11445i	0.0580698	−	0.197768i
$249$	7.49977	+	9.72689i	0.475279	+	0.616417i
$250$	7.31762	−	1.05211i	0.462807	−	0.0665416i
$251$	−22.7631	−	14.6289i	−1.43679	−	0.923371i	−0.999713	−	0.0239483i	$-0.992376\pi$
$251$	−22.7631	−	14.6289i	−1.43679	−	0.923371i	−0.437080	−	0.899423i	$-0.643987\pi$
$252$	1.32339	+	2.69233i	0.0833659	+	0.169601i
$253$	14.3923	+	1.17304i	0.904839	+	0.0737485i
$254$			5.11302i			0.320819i
$255$	−1.79227	−	0.639582i	−0.112236	−	0.0400522i
$256$	−0.142315	−	0.989821i	−0.00889468	−	0.0618638i
$257$	3.17794	−	1.45132i	0.198235	−	0.0905307i	−0.313824	−	0.949481i	$-0.601610\pi$
$257$	3.17794	−	1.45132i	0.198235	−	0.0905307i	0.512059	+	0.858950i	$0.328883\pi$
$258$	−7.20587	−	0.412411i	−0.448618	−	0.0256756i
$259$	1.03676	−	2.27019i	0.0644211	−	0.141062i
$260$	−11.3054	+	13.0472i	−0.701133	+	0.809150i
$261$	−3.26853	+	1.06165i	−0.202317	+	0.0657143i
$262$	−18.2507	+	5.35888i	−1.12753	+	0.331073i
$263$	−5.69615	−	6.57370i	−0.351239	−	0.405352i	0.552446	−	0.833549i	$-0.313694\pi$
$263$	−5.69615	−	6.57370i	−0.351239	−	0.405352i	−0.903686	+	0.428197i	$0.859149\pi$
$264$	−3.73976	−	3.63482i	−0.230166	−	0.223707i
$265$	−3.09163	+	1.98687i	−0.189917	+	0.122052i
$266$	−1.66533	+	1.44302i	−0.102108	+	0.0884770i
$267$	10.6777	−	6.02924i	0.653462	−	0.368984i
$268$	−7.50241	−	1.07868i	−0.458283	−	0.0658911i
$269$	10.3444	+	8.96344i	0.630707	+	0.546510i	0.910479	−	0.413556i	$-0.135713\pi$
$269$	10.3444	+	8.96344i	0.630707	+	0.546510i	−0.279772	+	0.960066i	$0.590259\pi$
$270$	−13.5370	+	3.55606i	−0.823834	+	0.216415i
$271$	−13.1473	−	3.86041i	−0.798644	−	0.234503i	−0.143148	−	0.989701i	$-0.545722\pi$
$271$	−13.1473	−	3.86041i	−0.798644	−	0.234503i	−0.655496	+	0.755198i	$0.727541\pi$
$272$	−0.169443	−	0.371028i	−0.0102740	−	0.0224969i
$273$	10.3450	−	4.02707i	0.626107	−	0.243729i
$274$	2.97356	−	4.62695i	0.179639	−	0.279524i
$275$	−6.79085			−0.409504
$276$	8.21691	−	1.21754i	0.494600	−	0.0732872i
$277$	−18.4959			−1.11131			−0.555656	−	0.831412i	$-0.687533\pi$
$277$	−18.4959			−1.11131			−0.555656	+	0.831412i	$0.687533\pi$
$278$	−4.22700	+	6.57735i	−0.253519	+	0.394483i
$279$	−5.49562	−	8.03882i	−0.329014	−	0.481272i
$280$	1.11895	+	2.45017i	0.0668703	+	0.146425i
$281$	11.7510	+	3.45041i	0.701007	+	0.205834i	0.612765	−	0.790265i	$-0.290057\pi$
$281$	11.7510	+	3.45041i	0.701007	+	0.205834i	0.0882417	+	0.996099i	$0.471875\pi$
$282$	3.92246	−	19.3531i	0.233579	−	1.15246i
$283$	−23.3266	−	20.2126i	−1.38662	−	1.20152i	−0.953950	−	0.299966i	$-0.903025\pi$
$283$	−23.3266	−	20.2126i	−1.38662	−	1.20152i	−0.432674	−	0.901550i	$-0.642430\pi$
$284$	9.99693	+	1.43734i	0.593209	+	0.0852906i
$285$	−5.05479	−	8.95193i	−0.299420	−	0.530267i
$286$	−14.5845	+	12.6375i	−0.862399	+	0.747273i
$287$	2.94383	−	1.89189i	0.173769	−	0.111675i
$288$	−2.56889	−	1.54945i	−0.151373	−	0.0913023i
$289$	11.0237	+	12.7220i	0.648452	+	0.748353i
$290$	−2.96062	+	0.869316i	−0.173854	+	0.0510480i
$291$	−14.9725	+	1.28523i	−0.877703	+	0.0753415i
$292$	10.5453	−	12.1699i	0.617115	−	0.712189i
$293$	11.6140	−	25.4312i	0.678499	−	1.48570i	−0.185727	−	0.982601i	$-0.559464\pi$
$293$	11.6140	−	25.4312i	0.678499	−	1.48570i	0.864226	−	0.503104i	$-0.167809\pi$
$294$	0.0989678	−	1.72922i	0.00577192	−	0.100850i
$295$	21.4285	−	9.78606i	1.24761	−	0.569766i
$296$	0.355178	+	2.47032i	0.0206443	+	0.143584i
$297$	−15.5437	+	1.78110i	−0.901937	+	0.103350i
$298$		−	20.9034i		−	1.21090i
$299$	−1.88841	−	30.6797i	−0.109210	−	1.77425i
$300$	−3.80495	+	0.884601i	−0.219679	+	0.0510724i
$301$	3.50561	+	2.25292i	0.202060	+	0.129856i
$302$	−9.75246	+	1.40219i	−0.561191	+	0.0806871i
$303$	8.68187	−	6.69402i	0.498760	−	0.384561i
$304$	0.620811	−	2.11429i	0.0356059	−	0.121263i
$305$	29.5287	+	13.4853i	1.69081	+	0.772166i
$306$	−1.18343	−	0.311197i	−0.0676523	−	0.0177900i
$307$	−4.12060	+	28.6594i	−0.235175	+	1.63568i	0.439983	+	0.898006i	$0.354985\pi$
$307$	−4.12060	+	28.6594i	−0.235175	+	1.63568i	−0.675158	+	0.737673i	$0.735925\pi$
$308$	0.848286	+	2.88900i	0.0483356	+	0.164616i
$309$	9.18241	−	12.6372i	0.522369	−	0.718904i
$310$	−4.72692	−	7.35522i	−0.268471	−	0.417749i
$311$	−9.20420	−	14.3220i	−0.521922	−	0.812127i	0.475802	−	0.879552i	$-0.342158\pi$
$311$	−9.20420	−	14.3220i	−0.521922	−	0.812127i	−0.997724	+	0.0674253i	$0.978522\pi$
$312$	−6.52555	+	8.98070i	−0.369437	+	0.508432i
$313$	0.876475	+	2.98500i	0.0495413	+	0.168722i	0.980548	−	0.196280i	$-0.0628863\pi$
$313$	0.876475	+	2.98500i	0.0495413	+	0.168722i	−0.931007	+	0.365003i	$0.881068\pi$
$314$	−3.15064	+	21.9132i	−0.177801	+	1.23663i
$315$	7.81506	+	2.05506i	0.440329	+	0.115789i
$316$	5.82598	+	2.66063i	0.327737	+	0.149672i
$317$	2.88112	−	9.81218i	0.161820	−	0.551107i	−0.838164	−	0.545418i	$-0.816371\pi$
$317$	2.88112	−	9.81218i	0.161820	−	0.551107i	0.999984	−	0.00568910i	$-0.00181091\pi$
$318$	−1.87145	+	1.44296i	−0.104946	+	0.0809170i
$319$	−3.41408	+	0.490870i	−0.191152	+	0.0274834i
$320$	−2.26598	−	1.45626i	−0.126672	−	0.0814074i
$321$	6.30337	−	1.46545i	0.351820	−	0.0817935i
$322$	−4.47660	−	1.72049i	−0.249471	−	0.0958789i
$323$		−	0.898801i		−	0.0500106i
$324$	−8.47721	+	3.02274i	−0.470956	+	0.167930i
$325$	2.05720	+	14.3081i	0.114113	+	0.793673i
$326$	−20.6217	+	9.41760i	−1.14213	+	0.521592i
$327$	−0.449982	+	7.86234i	−0.0248841	+	0.434789i
$328$	−1.45368	+	3.18311i	−0.0802660	+	0.175758i
$329$	−7.46588	+	8.61608i	−0.411607	+	0.475020i
$330$	−13.9959	+	1.20140i	−0.770451	+	0.0661350i
$331$	2.99511	−	0.879444i	0.164626	−	0.0483386i	−0.198381	−	0.980125i	$-0.563568\pi$
$331$	2.99511	−	0.879444i	0.164626	−	0.0483386i	0.363007	+	0.931786i	$0.381750\pi$
$332$	4.64380	+	5.35924i	0.254862	+	0.294126i
$333$	6.41123	+	3.86699i	0.351333	+	0.211910i
$334$	15.3956	−	9.89414i	0.842409	−	0.541383i
$335$	−15.4295	+	13.3697i	−0.843004	+	0.730467i
$336$	0.851630	+	1.50822i	0.0464603	+	0.0822801i
$337$	−23.1302	−	3.32562i	−1.25998	−	0.181158i	−0.520224	−	0.854030i	$-0.674151\pi$
$337$	−23.1302	−	3.32562i	−1.25998	−	0.181158i	−0.739759	+	0.672872i	$0.765060\pi$
$338$	21.2204	+	18.3876i	1.15424	+	1.00015i
$339$	−2.19603	+	10.8350i	−0.119272	+	0.588478i
$340$	−1.05418	−	0.309534i	−0.0571707	−	0.0167868i
$341$	−4.06001	−	8.89017i	−0.219862	−	0.481430i
$342$	−3.73078	−	5.45727i	−0.201738	−	0.295096i
$343$	−0.540641	+	0.841254i	−0.0291919	+	0.0454234i
$344$	−4.16712			−0.224676
$345$	12.0155	−	18.8746i	0.646891	−	1.01617i
$346$	10.7214			0.576384
$347$	8.09983	−	12.6036i	0.434822	−	0.676596i	−0.552824	−	0.833298i	$-0.686450\pi$
$347$	8.09983	−	12.6036i	0.434822	−	0.676596i	0.987646	+	0.156702i	$0.0500862\pi$
$348$	−1.84898	+	0.719767i	−0.0991158	+	0.0385836i
$349$	3.98494	+	8.72581i	0.213309	+	0.467082i	0.985796	−	0.167949i	$-0.0537145\pi$
$349$	3.98494	+	8.72581i	0.213309	+	0.467082i	−0.772486	+	0.635031i	$0.780987\pi$
$350$	2.16402	+	0.635412i	0.115672	+	0.0339642i
$351$	8.46149	+	32.2106i	0.451641	+	1.71928i
$352$	−2.27553	−	1.97176i	−0.121286	−	0.105095i
$353$	21.5195	+	3.09403i	1.14537	+	0.164679i	0.688760	−	0.724990i	$-0.258155\pi$
$353$	21.5195	+	3.09403i	1.14537	+	0.164679i	0.456607	+	0.889669i	$0.349065\pi$
$354$	13.1905	−	7.44812i	0.701065	−	0.395863i
$355$	20.5597	−	17.8151i	1.09120	−	0.945529i
$356$	5.95578	−	3.82755i	0.315656	−	0.202860i
$357$	0.506617	+	0.492400i	0.0268130	+	0.0260606i
$358$	3.87535	+	4.47240i	0.204819	+	0.236374i
$359$	−2.80580	+	0.823858i	−0.148085	+	0.0434815i	−0.354935	−	0.934891i	$-0.615497\pi$
$359$	−2.80580	+	0.823858i	−0.148085	+	0.0434815i	0.206850	+	0.978373i	$0.433679\pi$
$360$	−7.68549	+	2.49631i	−0.405061	+	0.131567i
$361$	−9.26260	+	10.6896i	−0.487505	+	0.562611i
$362$	9.18350	−	20.1091i	0.482674	−	1.05691i
$363$	3.34450	+	0.191414i	0.175541	+	0.0100466i
$364$	5.83007	−	2.66250i	0.305579	−	0.139553i
$365$	−6.17290	−	42.9334i	−0.323104	−	2.24724i
$366$	19.6599	+	7.01574i	1.02764	+	0.366719i
$367$		−	3.62700i		−	0.189328i	−0.995509	−	0.0946638i	$-0.969822\pi$
$367$		−	3.62700i		−	0.189328i	0.995509	−	0.0946638i	$-0.0301776\pi$
$368$	4.69612	−	0.972867i	0.244802	−	0.0507142i
$369$	4.63100	+	9.42138i	0.241080	+	0.490457i
$370$	5.65526	+	3.63441i	0.294003	+	0.188944i
$371$	1.35048	−	0.194169i	0.0701132	−	0.0100808i
$372$	−3.43291	−	4.45234i	−0.177988	−	0.230843i
$373$	−1.83982	+	6.26585i	−0.0952622	+	0.324433i	−0.993312	−	0.115460i	$-0.963166\pi$
$373$	−1.83982	+	6.26585i	−0.0952622	+	0.324433i	0.898050	+	0.439894i	$0.144984\pi$
$374$	−1.11715	−	0.510186i	−0.0577665	−	0.0263811i
$375$	5.97616	−	11.3247i	0.308608	−	0.584805i
$376$	1.62249	−	11.2847i	0.0836736	−	0.581962i
$377$	2.06850	+	7.04467i	0.106533	+	0.362819i
$378$	5.11991	+	0.886833i	0.263340	+	0.0456137i
$379$	13.9823	+	21.7569i	0.718222	+	1.11758i	0.987970	+	0.154644i	$0.0494232\pi$
$379$	13.9823	+	21.7569i	0.718222	+	1.11758i	−0.269748	+	0.962931i	$0.586940\pi$
$380$	−3.20894	−	4.99320i	−0.164615	−	0.256146i
$381$	7.16440	+	5.20579i	0.367043	+	0.266701i
$382$	−1.97520	−	6.72690i	−0.101060	−	0.344178i
$383$	−0.863057	+	6.00269i	−0.0441002	+	0.306723i	0.955818	+	0.293958i	$0.0949726\pi$
$383$	−0.863057	+	6.00269i	−0.0441002	+	0.306723i	−0.999919	+	0.0127654i	$0.995937\pi$
$384$	−1.53184	−	0.808369i	−0.0781715	−	0.0412519i
$385$	7.37736	+	3.36913i	0.375985	+	0.171707i
$386$	−3.19351	+	10.8761i	−0.162545	+	0.553578i
$387$	−7.91449	+	9.67703i	−0.402316	+	0.491911i
$388$	−8.58785	+	1.23475i	−0.435982	+	0.0626848i
$389$	28.2901	+	18.1809i	1.43436	+	0.921810i	0.999776	+	0.0211806i	$0.00674251\pi$
$389$	28.2901	+	18.1809i	1.43436	+	0.921810i	0.434588	+	0.900629i	$0.356894\pi$
$390$	6.77121	+	29.1251i	0.342874	+	1.47481i
$391$	1.72610	−	0.920403i	0.0872928	−	0.0465468i
$392$		−	1.00000i		−	0.0505076i
$393$	−11.0729	+	31.0291i	−0.558555	+	1.56521i
$394$	2.66247	+	18.5179i	0.134133	+	0.932916i
$395$	15.6927	−	7.16663i	0.789587	−	0.360592i
$396$	−8.90075	+	1.53941i	−0.447279	+	0.0773583i
$397$	15.2159	−	33.3182i	0.763665	−	1.67219i	0.0235418	−	0.999723i	$-0.492506\pi$
$397$	15.2159	−	33.3182i	0.763665	−	1.67219i	0.740123	−	0.672471i	$-0.234767\pi$
$398$	0.842759	−	0.972595i	0.0422437	−	0.0487518i
$399$	0.326419	+	3.80267i	0.0163414	+	0.190372i
$400$	−2.16402	+	0.635412i	−0.108201	+	0.0317706i
$401$	−6.77412	−	7.81775i	−0.338283	−	0.390400i	0.560964	−	0.827840i	$-0.310431\pi$
$401$	−6.77412	−	7.81775i	−0.338283	−	0.390400i	−0.899247	+	0.437440i	$0.855885\pi$
$402$	−9.15000	+	9.41418i	−0.456361	+	0.469537i
$403$	−17.5014	+	11.2475i	−0.871809	+	0.560278i
$404$	4.78346	−	4.14489i	0.237986	−	0.206216i
$405$	−8.79981	+	22.5887i	−0.437266	+	1.12244i
$406$	1.13388	+	0.163028i	0.0562736	+	0.00809092i
$407$	5.67909	+	4.92096i	0.281502	+	0.243923i
$408$	−0.692405	−	0.140336i	−0.0342791	−	0.00694765i
$409$	32.0349	+	9.40629i	1.58402	+	0.465111i	0.951044	−	0.309057i	$-0.100013\pi$
$409$	32.0349	+	9.40629i	1.58402	+	0.465111i	0.632980	+	0.774168i	$0.281832\pi$
$410$	3.91560	+	8.57397i	0.193378	+	0.423438i
$411$	−3.45580	−	8.87747i	−0.170462	−	0.437893i
$412$	4.87592	−	7.58707i	0.240219	−	0.373788i
$413$	−8.74572			−0.430349
$414$	6.65998	−	12.7532i	0.327320	−	0.626787i
$415$	19.1009			0.937629
$416$	−3.46511	+	5.39181i	−0.169891	+	0.264355i
$417$	4.91253	+	12.6196i	0.240567	+	0.617984i
$418$	−2.75619	−	6.03522i	−0.134810	−	0.295192i
$419$	−26.7920	−	7.86684i	−1.30887	−	0.384320i	−0.448409	−	0.893829i	$-0.648009\pi$
$419$	−26.7920	−	7.86684i	−1.30887	−	0.384320i	−0.860466	+	0.509509i	$0.829827\pi$
$420$	4.57245	+	0.926738i	0.223113	+	0.0452202i
$421$	−11.0931	−	9.61223i	−0.540645	−	0.468471i	0.341214	−	0.939986i	$-0.389162\pi$
$421$	−11.0931	−	9.61223i	−0.540645	−	0.468471i	−0.881858	+	0.471514i	$0.843708\pi$
$422$	−13.0895	−	1.88199i	−0.637187	−	0.0916136i
$423$	−23.1241	−	25.2004i	−1.12433	−	1.22529i
$424$	−1.03112	+	0.893468i	−0.0500755	+	0.0433907i
$425$	−0.773903	+	0.497357i	−0.0375398	+	0.0241254i
$426$	12.1923	−	12.5444i	0.590721	−	0.607776i
$427$	−7.89219	−	9.10807i	−0.381930	−	0.440770i
$428$	3.58496	−	1.05264i	0.173286	−	0.0508813i
$429$	2.85868	+	33.3027i	0.138019	+	1.60787i
$430$	−7.35047	+	8.48289i	−0.354471	+	0.409081i
$431$	15.1570	−	33.1892i	0.730087	−	1.59867i	−0.0691180	−	0.997608i	$-0.522018\pi$
$431$	15.1570	−	33.1892i	0.730087	−	1.59867i	0.799205	−	0.601059i	$-0.205254\pi$
$432$	−4.78660	+	2.02198i	−0.230296	+	0.0972827i
$433$	−8.33446	+	3.80622i	−0.400528	+	0.182915i	−0.605487	−	0.795856i	$-0.707021\pi$
$433$	−8.33446	+	3.80622i	−0.400528	+	0.182915i	0.204958	+	0.978771i	$0.434294\pi$
$434$	0.461944	+	3.21289i	0.0221740	+	0.154224i
$435$	−1.79625	+	5.03353i	−0.0861234	+	0.241339i
$436$			4.54675i			0.217750i
$437$	10.3035	+	2.34873i	0.492885	+	0.112355i
$438$	−6.31593	−	27.1668i	−0.301787	−	1.29808i
$439$	20.5713	+	13.2204i	0.981815	+	0.630974i	0.929952	−	0.367680i	$-0.119848\pi$
$439$	20.5713	+	13.2204i	0.981815	+	0.630974i	0.0518628	+	0.998654i	$0.483484\pi$
$440$	−8.02772	+	1.15421i	−0.382706	+	0.0550249i
$441$	−2.32223	−	1.89927i	−0.110583	−	0.0904415i
$442$	−0.736523	+	2.50837i	−0.0350328	+	0.119311i
$443$	1.98185	+	0.905082i	0.0941607	+	0.0430017i	0.461939	−	0.886912i	$-0.347154\pi$
$443$	1.98185	+	0.905082i	0.0941607	+	0.0430017i	−0.367778	+	0.929914i	$0.619881\pi$
$444$	3.82305	+	2.01746i	0.181434	+	0.0957445i
$445$	2.71389	−	18.8755i	0.128651	−	0.894785i
$446$	0.734414	+	2.50119i	0.0347755	+	0.118435i
$447$	−29.2900	−	21.2827i	−1.38537	−	1.00664i
$448$	0.540641	+	0.841254i	0.0255429	+	0.0397455i
$449$	9.73171	+	15.1428i	0.459268	+	0.714635i	0.991232	−	0.132132i	$-0.0421823\pi$
$449$	9.73171	+	15.1428i	0.459268	+	0.714635i	−0.531964	+	0.846767i	$0.678546\pi$
$450$	−2.63448	+	6.23217i	−0.124190	+	0.293787i
$451$	2.96844	+	10.1096i	0.139779	+	0.476042i
$452$	−0.908367	+	6.31783i	−0.0427260	+	0.297166i
$453$	−7.96465	+	15.0929i	−0.374212	+	0.709124i
$454$	−4.74874	−	2.16868i	−0.222870	−	0.101781i
$455$	4.86379	−	16.5645i	0.228018	−	0.776558i
$456$	−2.33048	−	3.02253i	−0.109135	−	0.141543i
$457$	11.7574	−	1.69046i	0.549989	−	0.0790765i	0.138282	−	0.990393i	$-0.455842\pi$
$457$	11.7574	−	1.69046i	0.549989	−	0.0790765i	0.411707	+	0.911316i	$0.364933\pi$
$458$	−19.5928	−	12.5915i	−0.915512	−	0.588364i
$459$	−1.64096	+	1.34139i	−0.0765933	+	0.0626107i
$460$	6.30314	−	11.2758i	0.293885	−	0.525738i
$461$		−	35.4658i		−	1.65181i	−0.563812	−	0.825903i	$-0.690666\pi$
$461$		−	35.4658i		−	1.65181i	0.563812	−	0.825903i	$-0.309334\pi$
$462$	4.91176	+	1.75279i	0.228516	+	0.0815473i
$463$	−0.864491	−	6.01267i	−0.0401763	−	0.279432i	0.959823	−	0.280606i	$-0.0905355\pi$
$463$	−0.864491	−	6.01267i	−0.0401763	−	0.279432i	−0.999999	+	0.00117380i	$0.999626\pi$
$464$	−1.04202	+	0.475875i	−0.0483746	+	0.0220920i
$465$	−15.1189	−	0.865292i	−0.701121	−	0.0401270i
$466$	1.14223	−	2.50114i	0.0529128	−	0.115863i
$467$	−2.55969	+	2.95404i	−0.118448	+	0.136697i	−0.811877	−	0.583829i	$-0.801554\pi$
$467$	−2.55969	+	2.95404i	−0.118448	+	0.136697i	0.693428	+	0.720525i	$0.256099\pi$
$468$	5.93987	+	18.2873i	0.274571	+	0.845331i
$469$	7.27254	−	2.13541i	0.335815	−	0.0986041i
$470$	−20.1099	−	23.2081i	−0.927602	−	1.07051i
$471$	27.4971	+	26.7255i	1.26700	+	1.23145i
$472$	7.35737	−	4.72829i	0.338650	−	0.217637i
$473$	−9.48242	+	8.21657i	−0.436002	+	0.377798i
$474$	9.65978	−	5.45449i	0.443689	−	0.250533i
$475$	−4.91924	−	0.707280i	−0.225710	−	0.0324522i
$476$	0.308261	+	0.267110i	0.0141291	+	0.0122430i
$477$	0.116471	+	4.09143i	0.00533282	+	0.187334i
$478$	7.27108	+	2.13498i	0.332572	+	0.0976518i
$479$	15.3171	+	33.5397i	0.699855	+	1.53247i	0.840147	+	0.542359i	$0.182469\pi$
$479$	15.3171	+	33.5397i	0.699855	+	1.53247i	−0.140292	+	0.990110i	$0.544804\pi$
$480$	−4.34762	+	1.69243i	−0.198441	+	0.0772485i
$481$	8.64794	−	13.4565i	0.394312	−	0.613561i
$482$	11.4252			0.520403
$483$	−6.96858	+	4.52094i	−0.317081	+	0.205710i
$484$	1.93411			0.0879139
$485$	−12.6347	+	19.6600i	−0.573714	+	0.892717i
$486$	−4.39554	+	14.9559i	−0.199386	+	0.678414i
$487$	−16.9014	−	37.0090i	−0.765878	−	1.67704i	−0.735524	−	0.677499i	$-0.763064\pi$
$487$	−16.9014	−	37.0090i	−0.765878	−	1.67704i	−0.0303536	−	0.999539i	$-0.509663\pi$
$488$	11.5635	+	3.39536i	0.523456	+	0.153701i
$489$	−7.79982	+	38.4837i	−0.352720	+	1.74029i
$490$	−2.03567	−	1.76392i	−0.0919623	−	0.0796858i
$491$	12.0288	+	1.72948i	0.542851	+	0.0780502i	0.408285	−	0.912854i	$-0.366127\pi$
$491$	12.0288	+	1.72948i	0.542851	+	0.0780502i	0.134566	+	0.990905i	$0.457036\pi$
$492$	2.98015	+	5.27777i	0.134355	+	0.237940i
$493$	−0.353126	+	0.305986i	−0.0159040	+	0.0137809i
$494$	−11.8811	+	7.63553i	−0.534556	+	0.343539i
$495$	−12.5665	+	20.8344i	−0.564821	+	0.936437i
$496$	−2.12563	−	2.45311i	−0.0954437	−	0.110148i
$497$	−9.69062	+	2.84542i	−0.434684	+	0.127635i
$498$	12.2375	−	1.05046i	0.548374	−	0.0470721i
$499$	6.45758	−	7.45244i	0.289081	−	0.333617i	−0.592570	−	0.805519i	$-0.701887\pi$
$499$	6.45758	−	7.45244i	0.289081	−	0.333617i	0.881651	+	0.471902i	$0.156432\pi$
$500$	3.07111	−	6.72479i	0.137344	−	0.300742i
$501$	1.81119	−	31.6461i	0.0809179	−	1.41384i
$502$	−24.6133	+	11.2405i	−1.09855	+	0.501689i
$503$	6.01572	+	41.8402i	0.268227	+	1.86556i	0.465271	+	0.885168i	$0.345957\pi$
$503$	6.01572	+	41.8402i	0.268227	+	1.86556i	−0.197043	+	0.980395i	$0.563134\pi$
$504$	2.98041	+	0.342274i	0.132758	+	0.0152461i
$505$		−	17.0488i		−	0.758662i
$506$	8.76791	−	11.4734i	0.389781	−	0.510056i
$507$	47.3703	−	11.0130i	2.10379	−	0.489103i
$508$	4.30135	+	2.76431i	0.190841	+	0.122646i
$509$	0.360856	−	0.0518832i	0.0159946	−	0.00229968i	−0.134313	−	0.990939i	$-0.542883\pi$
$509$	0.360856	−	0.0518832i	0.0159946	−	0.00229968i	0.150308	+	0.988639i	$0.451974\pi$
$510$	−1.50702	+	1.16197i	−0.0667321	+	0.0514528i
$511$	−4.53676	+	15.4508i	−0.200695	+	0.683503i
$512$	−0.909632	−	0.415415i	−0.0402004	−	0.0183589i
$513$	−11.4452	−	0.328695i	−0.505320	−	0.0145122i
$514$	0.497199	−	3.45810i	0.0219305	−	0.152530i
$515$	−6.84407	−	23.3088i	−0.301586	−	1.02711i
$516$	−4.24273	+	5.83900i	−0.186776	+	0.257048i
$517$	−18.5586	−	28.8778i	−0.816208	−	1.27004i
$518$	−1.34929	−	2.09953i	−0.0592843	−	0.0922482i
$519$	10.9159	−	15.0228i	0.479154	−	0.659430i
$520$	4.86379	+	16.5645i	0.213291	+	0.726404i
$521$	0.0121342	−	0.0843952i	0.000531609	−	0.00369742i	−0.989554	−	0.144163i	$-0.953951\pi$
$521$	0.0121342	−	0.0843952i	0.000531609	−	0.00369742i	0.990086	+	0.140466i	$0.0448600\pi$
$522$	−0.873988	+	3.32363i	−0.0382534	+	0.145471i
$523$	33.4547	+	15.2782i	1.46287	+	0.668070i	0.978397	−	0.206736i	$-0.0662840\pi$
$523$	33.4547	+	15.2782i	1.46287	+	0.668070i	0.484473	+	0.874806i	$0.339011\pi$
$524$	−5.35888	+	18.2507i	−0.234104	+	0.797284i
$525$	3.09363	−	2.38529i	0.135017	−	0.104103i
$526$	−8.60972	+	1.23789i	−0.375402	+	0.0539746i
$527$	−1.11380	−	0.715796i	−0.0485179	−	0.0311805i
$528$	−5.07967	+	1.18096i	−0.221064	+	0.0513945i
$529$	6.04055	+	22.1926i	0.262632	+	0.964896i
$530$			3.67502i			0.159633i
$531$	2.99344	−	26.0658i	0.129904	−	1.13116i
$532$	0.313597	+	2.18112i	0.0135962	+	0.0945634i
$533$	20.4014	−	9.31701i	0.883683	−	0.403564i
$534$	0.700657	−	12.2423i	0.0303204	−	0.529775i
$535$	4.18076	−	9.15458i	0.180750	−	0.395787i
$536$	−4.96356	+	5.72825i	−0.214393	+	0.247423i
$537$	10.2124	−	0.876628i	0.440699	−	0.0378293i
$538$	13.1331	−	3.85623i	0.566208	−	0.166254i
$539$	−1.97176	−	2.27553i	−0.0849298	−	0.0980142i
$540$	−4.32709	+	13.3106i	−0.186208	+	0.572796i
$541$	13.6150	−	8.74984i	0.585355	−	0.376185i	−0.214189	−	0.976792i	$-0.568711\pi$
$541$	13.6150	−	8.74984i	0.585355	−	0.376185i	0.799544	+	0.600607i	$0.205074\pi$
$542$	−10.3556	+	8.97316i	−0.444810	+	0.385430i
$543$	−18.8268	−	33.3419i	−0.807936	−	1.43084i
$544$	−0.403736	−	0.0580485i	−0.0173101	−	0.00248881i
$545$	9.25570	+	8.02011i	0.396471	+	0.343544i
$546$	2.20513	−	10.8799i	0.0943710	−	0.465619i
$547$	12.0162	+	3.52828i	0.513776	+	0.150858i	0.528335	−	0.849036i	$-0.322816\pi$
$547$	12.0162	+	3.52828i	0.513776	+	0.150858i	−0.0145593	+	0.999894i	$0.504635\pi$
$548$	−2.28481	−	5.00303i	−0.0976022	−	0.213719i
$549$	29.8471	−	20.4045i	1.27384	−	0.870843i
$550$	−3.67141	+	5.71283i	−0.156549	+	0.243596i
$551$	−2.52425			−0.107537
$552$	3.41814	−	7.57075i	0.145486	−	0.322233i
$553$	−6.40476			−0.272358
$554$	−9.99965	+	15.5598i	−0.424844	+	0.661071i
$555$	10.8504	−	4.22383i	0.460575	−	0.179292i
$556$	3.24793	+	7.11197i	0.137743	+	0.301615i
$557$	−41.1031	−	12.0690i	−1.74160	−	0.511379i	−0.752492	−	0.658601i	$-0.771148\pi$
$557$	−41.1031	−	12.0690i	−1.74160	−	0.511379i	−0.989103	+	0.147223i	$0.952967\pi$
$558$	−9.73385	+	0.277093i	−0.412067	+	0.0117303i
$559$	20.1847	+	17.4901i	0.853721	+	0.739754i
$560$	2.66616	+	0.383336i	0.112666	+	0.0161989i
$561$	−1.85230	+	1.04592i	−0.0782041	+	0.0441587i
$562$	9.25575	−	8.02015i	0.390430	−	0.338310i
$563$	−9.65265	+	6.20338i	−0.406811	+	0.261441i	−0.728005	−	0.685572i	$-0.759552\pi$
$563$	−9.65265	+	6.20338i	−0.406811	+	0.261441i	0.321194	+	0.947013i	$0.395916\pi$
$564$	−14.1602	−	13.7629i	−0.596253	−	0.579521i
$565$	11.2587	+	12.9933i	0.473659	+	0.546632i
$566$	−29.6153	+	8.69583i	−1.24482	+	0.365513i
$567$	6.45545	−	6.27114i	0.271103	−	0.263363i
$568$	6.61392	−	7.63287i	0.277514	−	0.320268i
$569$	−14.4746	+	31.6949i	−0.606805	+	1.32872i	0.317932	+	0.948113i	$0.397011\pi$
$569$	−14.4746	+	31.6949i	−0.606805	+	1.32872i	−0.924738	+	0.380605i	$0.875716\pi$
$570$	−10.2637	−	0.587416i	−0.429898	−	0.0246042i
$571$	−15.4225	+	7.04322i	−0.645411	+	0.294749i	−0.711100	−	0.703091i	$-0.751803\pi$
$571$	−15.4225	+	7.04322i	−0.645411	+	0.294749i	0.0656889	+	0.997840i	$0.479076\pi$
$572$	2.74640	+	19.1016i	0.114833	+	0.798679i
$573$	−11.4368	−	4.08130i	−0.477780	−	0.170499i
$574$		−	3.49934i		−	0.146060i
$575$	−3.67918	−	10.1714i	−0.153432	−	0.424178i
$576$	−2.69233	+	1.32339i	−0.112180	+	0.0551413i
$577$	8.94979	+	5.75168i	0.372585	+	0.239446i	0.713510	−	0.700645i	$-0.247104\pi$
$577$	8.94979	+	5.75168i	0.372585	+	0.239446i	−0.340926	+	0.940090i	$0.610740\pi$
$578$	16.6623	−	2.39567i	0.693060	−	0.0996469i
$579$	11.9882	+	15.5482i	0.498213	+	0.646161i
$580$	−0.869316	+	2.96062i	−0.0360964	+	0.122933i
$581$	−6.45046	−	2.94583i	−0.267610	−	0.122213i
$582$	−7.01354	+	13.2905i	−0.290720	+	0.550909i
$583$	−0.584636	+	4.06623i	−0.0242132	+	0.168406i
$584$	−4.53676	−	15.4508i	−0.187733	−	0.639358i
$585$	47.7044	+	20.1657i	1.97233	+	0.833750i
$586$	−15.1150	−	23.5195i	−0.624397	−	0.971580i
$587$	3.00533	+	4.67638i	0.124043	+	0.193015i	0.897721	−	0.440564i	$-0.145222\pi$
$587$	3.00533	+	4.67638i	0.124043	+	0.193015i	−0.773678	+	0.633579i	$0.781585\pi$
$588$	−1.40121	−	1.01814i	−0.0577848	−	0.0419876i
$589$	−2.01511	−	6.86283i	−0.0830311	−	0.282778i
$590$	3.35255	−	23.3175i	0.138022	−	0.959967i
$591$	28.6581	+	15.1232i	1.17884	+	0.622085i
$592$	2.27019	+	1.03676i	0.0933041	+	0.0426105i
$593$	−10.6328	+	36.2121i	−0.436638	+	1.48705i	0.388142	+	0.921600i	$0.373117\pi$
$593$	−10.6328	+	36.2121i	−0.436638	+	1.48705i	−0.824780	+	0.565454i	$0.808701\pi$
$594$	−6.90521	+	14.0391i	−0.283324	+	0.576033i
$595$	1.08750	−	0.156358i	0.0445830	−	0.00641007i
$596$	−17.5850	−	11.3012i	−0.720311	−	0.462916i
$597$	−0.504758	−	2.17112i	−0.0206584	−	0.0888581i
$598$	−26.8303	−	14.9981i	−1.09717	−	0.613316i
$599$		−	34.6361i		−	1.41519i	−0.706616	−	0.707597i	$-0.749779\pi$
$599$		−	34.6361i		−	1.41519i	0.706616	−	0.707597i	$-0.250221\pi$
$600$	−1.31294	+	3.67918i	−0.0536004	+	0.150202i
$601$	1.97017	+	13.7028i	0.0803647	+	0.558949i	0.989730	+	0.142950i	$0.0456589\pi$
$601$	1.97017	+	13.7028i	0.0803647	+	0.558949i	−0.909365	+	0.415999i	$0.863432\pi$
$602$	3.79055	−	1.73108i	0.154491	−	0.0705537i
$603$	3.87519	+	22.4060i	0.157810	+	0.912445i
$604$	−4.09298	+	8.96237i	−0.166541	+	0.364674i
$605$	3.41161	−	3.93720i	0.138702	−	0.160070i
$606$	−0.937598	−	10.9227i	−0.0380873	−	0.443705i
$607$	25.3736	−	7.45036i	1.02988	−	0.302401i	0.277219	−	0.960807i	$-0.410587\pi$
$607$	25.3736	−	7.45036i	1.02988	−	0.302401i	0.752663	+	0.658406i	$0.228769\pi$
$608$	−1.44302	−	1.66533i	−0.0585220	−	0.0675380i
$609$	1.38289	−	1.42282i	0.0560376	−	0.0576555i
$610$	27.3090	−	17.5504i	1.10571	−	0.710595i
$611$	−55.2227	+	47.8508i	−2.23407	+	1.93583i
$612$	−0.901607	+	0.827320i	−0.0364453	+	0.0334424i
$613$	1.20987	+	0.173954i	0.0488664	+	0.00702593i	0.166705	−	0.986007i	$-0.446687\pi$
$613$	1.20987	+	0.173954i	0.0488664	+	0.00702593i	−0.117838	+	0.993033i	$0.537596\pi$
$614$	21.8821	+	18.9609i	0.883089	+	0.765201i
$615$	16.0006	+	3.24297i	0.645205	+	0.130769i
$616$	2.88900	+	0.848286i	0.116401	+	0.0341784i
$617$	−10.7944	−	23.6365i	−0.434567	−	0.951570i	−0.992564	−	0.121727i	$-0.961157\pi$
$617$	−10.7944	−	23.6365i	−0.434567	−	0.951570i	0.557996	−	0.829844i	$-0.311570\pi$
$618$	−5.66668	−	14.5569i	−0.227947	−	0.585565i
$619$	−19.2732	+	29.9897i	−0.774656	+	1.20539i	0.199585	+	0.979880i	$0.436041\pi$
$619$	−19.2732	+	29.9897i	−0.774656	+	1.20539i	−0.974241	+	0.225508i	$0.927596\pi$
$620$	−8.74317			−0.351134
$621$	−11.0891	−	22.3166i	−0.444990	−	0.895536i
$622$	−17.0246			−0.682625
$623$	−3.82755	+	5.95578i	−0.153347	+	0.238613i
$624$	4.02707	+	10.3450i	0.161212	+	0.414131i
$625$	−12.9569	−	28.3716i	−0.518274	−	1.13486i
$626$	2.98500	+	0.876475i	0.119305	+	0.0350310i
$627$	−11.2628	−	2.28273i	−0.449793	−	0.0911634i
$628$	16.7312	+	14.4977i	0.667647	+	0.578519i
$629$	1.00761	+	0.144873i	0.0401761	+	0.00577646i
$630$	5.95396	−	5.46339i	0.237212	−	0.217667i
$631$	16.5795	−	14.3662i	0.660020	−	0.571910i	−0.259119	−	0.965846i	$-0.583432\pi$
$631$	16.5795	−	14.3662i	0.660020	−	0.571910i	0.919138	+	0.393935i	$0.128887\pi$
$632$	5.38803	−	3.46268i	0.214324	−	0.137738i
$633$	−15.9640	+	16.4250i	−0.634514	+	0.652834i
$634$	−6.69688	−	7.72862i	−0.265967	−	0.306943i
$635$	13.2145	−	3.88011i	0.524400	−	0.153978i
$636$	0.202108	+	2.35449i	0.00801410	+	0.0933616i
$637$	−4.19717	+	4.84380i	−0.166298	+	0.191918i
$638$	−1.43284	+	3.13749i	−0.0567268	+	0.124214i
$639$	−5.16368	−	29.8560i	−0.204272	−	1.18108i
$640$	−2.45017	+	1.11895i	−0.0968513	+	0.0442305i
$641$	2.94941	+	20.5136i	0.116495	+	0.810239i	0.961367	+	0.275271i	$0.0887675\pi$
$641$	2.94941	+	20.5136i	0.116495	+	0.810239i	−0.844872	+	0.534969i	$0.820323\pi$
$642$	2.17504	−	6.09502i	0.0858421	−	0.240551i
$643$		−	28.9817i		−	1.14293i	−0.820627	−	0.571464i	$-0.806376\pi$
$643$		−	28.9817i		−	1.14293i	0.820627	−	0.571464i	$-0.193624\pi$
$644$	−3.86760	+	2.83579i	−0.152405	+	0.111746i
$645$	4.40245	+	18.9363i	0.173346	+	0.745618i
$646$	−0.756119	−	0.485928i	−0.0297491	−	0.0191186i
$647$	33.0612	−	4.75348i	1.29977	−	0.186879i	0.542541	−	0.840029i	$-0.317462\pi$
$647$	33.0612	−	4.75348i	1.29977	−	0.186879i	0.757228	+	0.653151i	$0.226553\pi$
$648$	−2.04024	+	8.76570i	−0.0801481	+	0.344349i
$649$	7.41887	−	25.2664i	0.291216	−	0.991791i
$650$	13.1490	+	6.00494i	0.515746	+	0.235533i
$651$	4.97225	+	2.62391i	0.194878	+	0.102839i
$652$	−3.22632	+	22.4396i	−0.126353	+	0.878802i
$653$	−4.76899	−	16.2417i	−0.186625	−	0.635587i	−0.998649	−	0.0519625i	$-0.983452\pi$
$653$	−4.76899	−	16.2417i	−0.186625	−	0.635587i	0.812024	−	0.583624i	$-0.198366\pi$
$654$	6.37095	+	4.62925i	0.249124	+	0.181018i
$655$	27.6997	+	43.1016i	1.08232	+	1.68412i
$656$	1.89189	+	2.94383i	0.0738658	+	0.114937i
$657$	−44.4969	−	18.8098i	−1.73599	−	0.733841i
$658$	3.21195	+	10.9389i	0.125215	+	0.426443i
$659$	−2.88457	+	20.0627i	−0.112367	+	0.781530i	0.853239	+	0.521520i	$0.174635\pi$
$659$	−2.88457	+	20.0627i	−0.112367	+	0.781530i	−0.965606	+	0.260010i	$0.916274\pi$
$660$	−6.55609	+	12.4237i	−0.255195	+	0.483590i
$661$	29.2879	+	13.3754i	1.13917	+	0.520241i	0.893478	−	0.449107i	$-0.148258\pi$
$661$	29.2879	+	13.3754i	1.13917	+	0.520241i	0.245691	+	0.969348i	$0.420985\pi$
$662$	0.879444	−	2.99511i	0.0341806	−	0.116408i
$663$	2.76485	+	3.58590i	0.107378	+	0.139265i
$664$	7.01911	−	1.00920i	0.272394	−	0.0391644i
$665$	4.99320	+	3.20894i	0.193628	+	0.124437i
$666$	6.71930	−	3.30282i	0.260367	−	0.127981i
$667$	−2.58492	−	4.84771i	−0.100089	−	0.187704i
$668$		−	18.3008i		−	0.708078i
$669$	4.25242	+	1.51750i	0.164408	+	0.0586700i
$670$	2.90552	+	20.2084i	0.112250	+	0.780717i
$671$	33.0080	−	15.0743i	1.27426	−	0.581935i
$672$	1.72922	+	0.0989678i	0.0667061	+	0.00381777i
$673$	−7.28825	+	15.9590i	−0.280941	+	0.615176i	−0.996520	−	0.0833566i	$-0.973436\pi$
$673$	−7.28825	+	15.9590i	−0.280941	+	0.615176i	0.715578	+	0.698532i	$0.246163\pi$
$674$	−15.3028	+	17.6604i	−0.589443	+	0.680253i
$675$	6.05029	+	10.0367i	0.232876	+	0.386313i
$676$	26.9412	−	7.91066i	1.03620	−	0.304256i
$677$	2.93767	+	3.39025i	0.112904	+	0.130298i	0.809388	−	0.587274i	$-0.199799\pi$
$677$	2.93767	+	3.39025i	0.112904	+	0.130298i	−0.696484	+	0.717572i	$0.745253\pi$
$678$	7.92774	+	7.70528i	0.304463	+	0.295919i
$679$	7.29885	−	4.69069i	0.280104	−	0.180012i
$680$	−0.830327	+	0.719482i	−0.0318416	+	0.0275909i
$681$	−7.87367	+	4.44595i	−0.301720	+	0.170369i
$682$	−9.67389	−	1.39090i	−0.370433	−	0.0532602i
$683$	0.974120	+	0.844080i	0.0372737	+	0.0322978i	0.673298	−	0.739371i	$-0.264877\pi$
$683$	0.974120	+	0.844080i	0.0372737	+	0.0322978i	−0.636025	+	0.771669i	$0.719422\pi$
$684$	−6.60796	+	0.188108i	−0.252662	+	0.00719250i
$685$	−14.2148	−	4.17383i	−0.543118	−	0.159474i
$686$	0.415415	+	0.909632i	0.0158606	+	0.0347299i
$687$	−37.5917	+	14.6336i	−1.43421	+	0.558306i
$688$	−2.25292	+	3.50561i	−0.0858916	+	0.133650i
$689$	8.74456			0.333141
$690$	−9.38225	−	20.3124i	−0.357176	−	0.773280i
$691$	−0.254158			−0.00966862			−0.00483431	−	0.999988i	$-0.501539\pi$
$691$	−0.254158			−0.00966862			−0.00483431	+	0.999988i	$0.501539\pi$
$692$	5.79640	−	9.01938i	0.220346	−	0.342865i
$693$	7.45691	−	5.09780i	0.283265	−	0.193649i
$694$	−6.22371	−	13.6280i	−0.236249	−	0.517313i
$695$	20.2067	+	5.93323i	0.766484	+	0.225060i
$696$	−0.394128	+	1.94460i	−0.0149394	+	0.0737098i
$697$	1.07871	+	0.934709i	0.0408591	+	0.0354046i
$698$	9.49504	+	1.36518i	0.359393	+	0.0516729i
$699$	−2.34165	−	4.14702i	−0.0885695	−	0.156855i
$700$	1.70450	−	1.47696i	0.0644240	−	0.0558237i
$701$	8.37244	−	5.38064i	0.316223	−	0.203224i	−0.372895	−	0.927874i	$-0.621635\pi$
$701$	8.37244	−	5.38064i	0.316223	−	0.203224i	0.689117	+	0.724650i	$0.257998\pi$
$702$	31.6719	+	10.2961i	1.19538	+	0.388602i
$703$	3.60136	+	4.15619i	0.135828	+	0.156754i
$704$	−2.88900	+	0.848286i	−0.108883	+	0.0319710i
$705$	−52.9942	+	4.54899i	−1.99588	+	0.171325i
$706$	14.2372	−	16.4306i	0.535823	−	0.618373i
$707$	−2.62934	+	5.75744i	−0.0988864	+	0.216531i
$708$	0.865544	−	15.1233i	0.0325292	−	0.568368i
$709$	−5.14266	+	2.34858i	−0.193137	+	0.0882026i	−0.509636	−	0.860390i	$-0.670220\pi$
$709$	−5.14266	+	2.34858i	−0.193137	+	0.0882026i	0.316499	+	0.948593i	$0.397493\pi$
$710$	−3.87160	−	26.9275i	−0.145298	−	1.01057i
$711$	2.19219	−	19.0888i	0.0822134	−	0.715887i
$712$		−	7.07965i		−	0.265321i
$713$	11.1162	−	10.8977i	0.416304	−	0.408122i
$714$	0.688131	−	0.159981i	0.0257527	−	0.00598716i
$715$	43.7291	+	28.1030i	1.63537	+	1.05099i
$716$	5.85760	−	0.842195i	0.218909	−	0.0314743i
$717$	10.3946	−	8.01457i	0.388192	−	0.299310i
$718$	−0.823858	+	2.80580i	−0.0307461	+	0.104712i
$719$	9.98338	+	4.55926i	0.372317	+	0.170032i	0.592781	−	0.805363i	$-0.298030\pi$
$719$	9.98338	+	4.55926i	0.372317	+	0.170032i	−0.220464	+	0.975395i	$0.570757\pi$
$720$	−2.05506	+	7.81506i	−0.0765875	+	0.291250i
$721$	−1.28351	+	8.92698i	−0.0478002	+	0.332458i
$722$	3.98493	+	13.5714i	0.148304	+	0.505077i
$723$	11.6325	−	16.0091i	0.432617	−	0.595383i
$724$	−11.9518	−	18.5974i	−0.444187	−	0.691168i
$725$	1.39681	+	2.17348i	0.0518763	+	0.0807212i
$726$	1.96920	−	2.71008i	0.0730838	−	0.100581i
$727$	−11.5152	−	39.2172i	−0.427076	−	1.45449i	−0.839432	−	0.543464i	$-0.817112\pi$
$727$	−11.5152	−	39.2172i	−0.427076	−	1.45449i	0.412356	−	0.911023i	$-0.364706\pi$
$728$	0.912133	−	6.34402i	0.0338059	−	0.235125i
$729$	16.4810	+	21.3863i	0.610409	+	0.792087i
$730$	−39.4552	−	18.0186i	−1.46030	−	0.666898i
$731$	−0.478866	+	1.63087i	−0.0177115	+	0.0603199i
$732$	16.5309	−	12.7459i	0.611001	−	0.471103i
$733$	−3.12919	+	0.449909i	−0.115579	+	0.0166178i	−0.199862	−	0.979824i	$-0.564049\pi$
$733$	−3.12919	+	0.449909i	−0.115579	+	0.0166178i	0.0842825	+	0.996442i	$0.473140\pi$
$734$	−3.05122	−	1.96090i	−0.112623	−	0.0723782i
$735$	−4.54423	+	1.05647i	−0.167616	+	0.0389686i
$736$	1.72049	−	4.47660i	0.0634179	−	0.165010i
$737$			22.8218i			0.840651i
$738$	10.4295	+	1.19773i	0.383914	+	0.0440892i
$739$	−0.813661	−	5.65914i	−0.0299310	−	0.208175i	0.969368	−	0.245613i	$-0.0789893\pi$
$739$	−0.813661	−	5.65914i	−0.0299310	−	0.208175i	−0.999299	+	0.0374385i	$0.988080\pi$
$740$	6.11493	−	2.79259i	0.224789	−	0.102658i
$741$	−1.39773	+	24.4220i	−0.0513470	+	0.897163i
$742$	0.566777	−	1.24107i	0.0208070	−	0.0455611i
$743$	−26.7879	+	30.9149i	−0.982753	+	1.13416i	0.00820252	+	0.999966i	$0.497389\pi$
$743$	−26.7879	+	30.9149i	−0.982753	+	1.13416i	−0.990955	+	0.134191i	$0.957156\pi$
$744$	−5.60152	+	0.480830i	−0.205362	+	0.0176281i
$745$	−54.0242	+	15.8629i	−1.97929	+	0.581173i
$746$	4.27648	+	4.93533i	0.156573	+	0.180695i
$747$	10.9876	−	18.2167i	0.402015	−	0.666516i
$748$	−1.03317	+	0.663980i	−0.0377766	+	0.0242775i
$749$	−2.82371	+	2.44676i	−0.103176	+	0.0894028i
$750$	−6.29599	−	11.1501i	−0.229897	−	0.407143i
$751$	−13.3538	−	1.91999i	−0.487288	−	0.0700614i	−0.105708	−	0.994397i	$-0.533711\pi$
$751$	−13.3538	−	1.91999i	−0.487288	−	0.0700614i	−0.381580	+	0.924336i	$0.624620\pi$
$752$	−8.61608	−	7.46588i	−0.314196	−	0.272253i
$753$	−9.30960	+	45.9328i	−0.339261	+	1.67388i
$754$	7.04467	+	2.06850i	0.256552	+	0.0753304i
$755$	11.0248	+	24.1409i	0.401232	+	0.878576i
$756$	3.51409	−	3.82769i	0.127806	−	0.139212i
$757$	10.4197	−	16.2133i	0.378709	−	0.589282i	−0.598614	−	0.801038i	$-0.704282\pi$
$757$	10.4197	−	16.2133i	0.378709	−	0.589282i	0.977323	+	0.211755i	$0.0679180\pi$
$758$	25.8624			0.939366
$759$	−7.14963	−	23.9673i	−0.259515	−	0.869956i
$760$	−5.93543			−0.215301
$761$	−26.8062	+	41.7113i	−0.971725	+	1.51203i	−0.116883	+	0.993146i	$0.537290\pi$
$761$	−26.8062	+	41.7113i	−0.971725	+	1.51203i	−0.854842	+	0.518888i	$0.826346\pi$
$762$	8.25276	−	3.21261i	0.298966	−	0.116381i
$763$	−1.88879	−	4.13587i	−0.0683788	−	0.149729i
$764$	−6.72690	−	1.97520i	−0.243371	−	0.0714601i
$765$	0.0937901	+	3.29470i	0.00339099	+	0.119120i
$766$	4.58318	+	3.97135i	0.165597	+	0.143491i
$767$	−55.4830	−	7.97726i	−2.00338	−	0.288042i
$768$	−1.50822	+	0.851630i	−0.0544232	+	0.0307306i
$769$	6.72562	−	5.82778i	0.242532	−	0.210155i	−0.525110	−	0.851035i	$-0.675976\pi$
$769$	6.72562	−	5.82778i	0.242532	−	0.210155i	0.767641	+	0.640880i	$0.221430\pi$
$770$	6.82279	−	4.38474i	0.245876	−	0.158015i
$771$	−4.33929	−	4.21752i	−0.156276	−	0.151890i
$772$	7.42301	+	8.56661i	0.267160	+	0.308319i
$773$	−2.30697	+	0.677388i	−0.0829760	+	0.0243640i	−0.322957	−	0.946414i	$-0.604677\pi$
$773$	−2.30697	+	0.677388i	−0.0829760	+	0.0243640i	0.239981	+	0.970778i	$0.422859\pi$
$774$	3.86194	+	11.8899i	0.138814	+	0.427373i
$775$	−4.79410	+	5.53268i	−0.172209	+	0.198740i
$776$	−3.60421	+	7.89211i	−0.129384	+	0.283310i
$777$	−4.31565	−	0.246996i	−0.154823	−	0.00886092i
$778$	30.5895	−	13.9698i	1.09669	−	0.500841i
$779$	1.09738	+	7.63248i	0.0393179	+	0.273462i
$780$	28.1624	+	10.0499i	1.00838	+	0.359845i
$781$		−	30.4099i		−	1.08815i
$782$	0.158909	−	1.94970i	0.00568258	−	0.0697210i
$783$	3.76725	+	4.60858i	0.134631	+	0.164697i
$784$	−0.841254	−	0.540641i	−0.0300448	−	0.0193086i
$785$	59.0249	−	8.48650i	2.10669	−	0.302896i
$786$	20.1169	+	26.0907i	0.717545	+	0.930625i
$787$	4.68413	−	15.9527i	0.166971	−	0.568651i	−0.832913	−	0.553404i	$-0.813328\pi$
$787$	4.68413	−	15.9527i	0.166971	−	0.568651i	0.999884	−	0.0152469i	$-0.00485343\pi$
$788$	17.0176	+	7.77170i	0.606229	+	0.276855i
$789$	−7.03140	+	13.3244i	−0.250324	+	0.474359i
$790$	2.45518	−	17.0761i	0.0873513	−	0.607542i
$791$	−1.79824	−	6.12425i	−0.0639381	−	0.217753i
$792$	−3.51707	+	8.32005i	−0.124974	+	0.295640i
$793$	−41.7605	−	64.9805i	−1.48296	−	2.30753i
$794$	−19.8027	−	30.8136i	−0.702772	−	1.09354i
$795$	5.14947	+	3.74170i	0.182633	+	0.132705i
$796$	−0.362570	−	1.23480i	−0.0128509	−	0.0437663i
$797$	−1.17275	+	8.15664i	−0.0415408	+	0.288923i	0.958452	+	0.285252i	$0.0920774\pi$
$797$	−1.17275	+	8.15664i	−0.0415408	+	0.288923i	−0.999993	+	0.00367046i	$0.998832\pi$
$798$	3.37549	+	1.78128i	0.119491	+	0.0630566i
$799$	−4.22998	−	1.93177i	−0.149646	−	0.0683411i
$800$	−0.635412	+	2.16402i	−0.0224652	+	0.0765095i
$801$	−16.4406	−	13.4462i	−0.580900	−	0.475097i
$802$	−10.2391	+	1.47216i	−0.361554	+	0.0519836i
$803$	−40.7888	−	26.2134i	−1.43941	−	0.925050i
$804$	2.97285	+	12.7872i	0.104844	+	0.450968i
$805$	−1.04939	+	12.8753i	−0.0369862	+	0.453793i
$806$			20.8040i			0.732790i
$807$	7.96802	−	22.3284i	0.280488	−	0.785997i
$808$	−0.900770	−	6.26500i	−0.0316890	−	0.220402i
$809$	41.3738	−	18.8948i	1.45463	−	0.664306i	0.477826	−	0.878455i	$-0.341425\pi$
$809$	41.3738	−	18.8948i	1.45463	−	0.664306i	0.976801	+	0.214149i	$0.0686977\pi$
$810$	14.2453	+	19.6152i	0.500528	+	0.689209i
$811$	−12.9201	+	28.2910i	−0.453685	+	0.993432i	0.535196	+	0.844728i	$0.320238\pi$
$811$	−12.9201	+	28.2910i	−0.453685	+	0.993432i	−0.988882	+	0.148705i	$0.952490\pi$
$812$	0.750170	−	0.865743i	0.0263258	−	0.0303816i
$813$	2.02978	+	23.6463i	0.0711875	+	0.829311i
$814$	7.21013	−	2.11708i	0.252715	−	0.0742038i
$815$	39.9886	+	46.1494i	1.40074	+	1.61654i
$816$	−0.492400	+	0.506617i	−0.0172374	+	0.0177351i
$817$	−7.72477	+	4.96441i	−0.270255	+	0.173683i
$818$	25.2324	−	21.8640i	0.882232	−	0.764458i
$819$	−12.9999	−	14.1672i	−0.454254	−	0.495042i
$820$	9.32982	+	1.34143i	0.325811	+	0.0468446i
$821$	−13.1034	−	11.3541i	−0.457311	−	0.396262i	0.395513	−	0.918460i	$-0.370567\pi$
$821$	−13.1034	−	11.3541i	−0.457311	−	0.396262i	−0.852824	+	0.522198i	$0.825112\pi$
$822$	−9.33655	−	1.89232i	−0.325650	−	0.0660022i
$823$	−1.43686	−	0.421901i	−0.0500859	−	0.0147065i	0.256594	−	0.966519i	$-0.417400\pi$
$823$	−1.43686	−	0.421901i	−0.0500859	−	0.0147065i	−0.306680	+	0.951813i	$0.599218\pi$
$824$	−3.74653	−	8.20376i	−0.130517	−	0.285792i
$825$	4.26683	+	10.9609i	0.148552	+	0.381609i
$826$	−4.72829	+	7.35737i	−0.164518	+	0.255996i
$827$	11.2852			0.392423			0.196212	−	0.980562i	$-0.437136\pi$
$827$	11.2852			0.392423			0.196212	+	0.980562i	$0.437136\pi$
$828$	−7.12804	−	12.4976i	−0.247716	−	0.434323i
$829$	−38.4677			−1.33604			−0.668019	−	0.744144i	$-0.732858\pi$
$829$	−38.4677			−1.33604			−0.668019	+	0.744144i	$0.732858\pi$
$830$	10.3268	−	16.0687i	0.358447	−	0.557754i
$831$	11.6214	+	29.8537i	0.403140	+	1.03561i
$832$	2.66250	+	5.83007i	0.0923057	+	0.202121i
$833$	−0.391366	−	0.114915i	−0.0135600	−	0.00398158i
$834$	13.2722	+	2.68999i	0.459579	+	0.0931468i
$835$	−37.2544	−	32.2811i	−1.28924	−	1.11713i
$836$	−6.56726	−	0.944230i	−0.227134	−	0.0326569i
$837$	−9.52220	+	13.9213i	−0.329135	+	0.481189i
$838$	−21.1028	+	18.2857i	−0.728986	+	0.631670i
$839$	−42.8815	+	27.5582i	−1.48043	+	0.951416i	−0.483323	+	0.875442i	$0.660570\pi$
$839$	−42.8815	+	27.5582i	−1.48043	+	0.951416i	−0.997110	+	0.0759738i	$0.975793\pi$
$840$	3.25167	−	3.34556i	0.112193	−	0.115433i
$841$	−18.1316	−	20.9250i	−0.625228	−	0.721551i
$842$	−14.0837	+	4.13535i	−0.485357	+	0.142514i
$843$	−1.81421	−	21.1349i	−0.0624846	−	0.727925i
$844$	−8.65994	+	9.99410i	−0.298087	+	0.344011i
$845$	31.4187	−	68.7973i	1.08084	−	2.36670i
$846$	−33.7018	+	5.82883i	−1.15869	+	0.200399i
$847$	−1.75932	+	0.803456i	−0.0604511	+	0.0276071i
$848$	0.194169	+	1.35048i	0.00666780	+	0.0463756i
$849$	−17.9680	+	50.3508i	−0.616659	+	1.72803i
$850$			0.919941i			0.0315537i
$851$	−4.29385	+	11.1723i	−0.147191	+	0.382983i
$852$	−3.96131	−	17.0388i	−0.135712	−	0.583741i
$853$	21.0357	+	13.5188i	0.720249	+	0.462876i	0.848723	−	0.528837i	$-0.177372\pi$
$853$	21.0357	+	13.5188i	0.720249	+	0.462876i	−0.128475	+	0.991713i	$0.541008\pi$
$854$	−11.9290	+	1.71514i	−0.408203	+	0.0586908i
$855$	−11.2730	+	13.7835i	−0.385528	+	0.471384i
$856$	1.05264	−	3.58496i	0.0359785	−	0.122532i
$857$	−41.5971	−	18.9968i	−1.42093	−	0.648917i	−0.451050	−	0.892499i	$-0.648950\pi$
$857$	−41.5971	−	18.9968i	−1.42093	−	0.648917i	−0.969880	+	0.243582i	$0.921678\pi$
$858$	29.5616	+	15.5999i	1.00921	+	0.532573i
$859$	2.76485	−	19.2299i	0.0943353	−	0.656117i	−0.886708	−	0.462329i	$-0.847014\pi$
$859$	2.76485	−	19.2299i	0.0943353	−	0.656117i	0.981044	−	0.193787i	$-0.0620771\pi$
$860$	3.16230	+	10.7698i	0.107834	+	0.367247i
$861$	−4.90330	−	3.56284i	−0.167104	−	0.121421i
$862$	−19.7260	−	30.6943i	−0.671871	−	1.04545i
$863$	−10.3343	−	16.0805i	−0.351784	−	0.547387i	0.619595	−	0.784922i	$-0.287297\pi$
$863$	−10.3343	−	16.0805i	−0.351784	−	0.547387i	−0.971379	+	0.237535i	$0.923661\pi$
$864$	−0.886833	+	5.11991i	−0.0301707	+	0.174183i
$865$	−8.13611	−	27.7090i	−0.276636	−	0.942136i
$866$	−1.30395	+	9.06919i	−0.0443101	+	0.308184i
$867$	13.6078	−	25.7865i	0.462144	−	0.875754i
$868$	2.95260	+	1.34841i	0.100218	+	0.0457679i
$869$	5.43307	−	18.5033i	0.184304	−	0.627683i
$870$	3.26335	+	4.23243i	0.110638	+	0.143493i
$871$	48.0849	−	6.91357i	1.62930	−	0.234257i
$872$	3.82497	+	2.45816i	0.129530	+	0.0832438i
$873$	11.4820	+	23.3591i	0.388606	+	0.790585i
$874$	7.54639	−	7.39806i	0.255260	−	0.250243i
$875$			7.39287i			0.249925i
$876$	−26.2688	−	9.37419i	−0.887542	−	0.316725i
$877$	3.30596	+	22.9935i	0.111634	+	0.776435i	0.966330	+	0.257305i	$0.0828346\pi$
$877$	3.30596	+	22.9935i	0.111634	+	0.776435i	−0.854696	+	0.519129i	$0.826256\pi$
$878$	22.2434	−	10.1582i	0.750678	−	0.342823i
$879$	−48.3450	−	2.76691i	−1.63063	−	0.0933254i
$880$	−3.36913	+	7.37736i	−0.113573	+	0.248691i
$881$	−5.11156	+	5.89906i	−0.172213	+	0.198744i	−0.835294	−	0.549803i	$-0.814703\pi$
$881$	−5.11156	+	5.89906i	−0.172213	+	0.198744i	0.663082	+	0.748547i	$0.269248\pi$
$882$	−2.85326	+	0.926764i	−0.0960744	+	0.0312058i
$883$	14.9933	−	4.40244i	0.504565	−	0.148154i	−0.0195368	−	0.999809i	$-0.506219\pi$
$883$	14.9933	−	4.40244i	0.504565	−	0.148154i	0.524102	+	0.851655i	$0.324401\pi$
$884$	1.71198	+	1.97573i	0.0575800	+	0.0664509i
$885$	−29.2593	−	28.4382i	−0.983540	−	0.955940i
$886$	1.83287	−	1.17792i	0.0615766	−	0.0395729i
$887$	−0.371780	+	0.322149i	−0.0124832	+	0.0108167i	−0.661080	−	0.750315i	$-0.729902\pi$
$887$	−0.371780	+	0.322149i	−0.0124832	+	0.0108167i	0.648597	+	0.761132i	$0.275356\pi$
$888$	3.76409	−	2.12543i	0.126315	−	0.0713248i
$889$	−5.06098	−	0.727659i	−0.169740	−	0.0244049i
$890$	−14.4118	−	12.4879i	−0.483086	−	0.418596i
$891$	12.6412	+	23.9695i	0.423497	+	0.803008i
$892$	2.50119	+	0.734414i	0.0837459	+	0.0245900i
$893$	−10.4361	−	22.8518i	−0.349229	−	0.764706i
$894$	−33.7395	+	13.1340i	−1.12842	+	0.439267i
$895$	8.61790	−	13.4097i	0.288065	−	0.448237i
$896$	1.00000			0.0334077
$897$	−48.3325	+	22.3247i	−1.61378	+	0.745399i
$898$	18.0003			0.600679
$899$	−2.01029	+	3.12807i	−0.0670469	+	0.104327i
$900$	3.81853	+	5.58563i	0.127284	+	0.186188i
$901$	0.231182	+	0.506217i	0.00770178	+	0.0168645i
$902$	10.1096	+	2.96844i	0.336612	+	0.0988383i
$903$	1.43372	−	7.07384i	0.0477111	−	0.235403i
$904$	4.82380	+	4.17984i	0.160437	+	0.139020i
$905$	−58.9403	−	8.47434i	−1.95924	−	0.281697i
$906$	8.39090	+	14.8601i	0.278769	+	0.493694i
$907$	−28.9615	+	25.0953i	−0.961651	+	0.833275i	−0.986054	−	0.166427i	$-0.946777\pi$
$907$	−28.9615	+	25.0953i	−0.961651	+	0.833275i	0.0244027	+	0.999702i	$0.492232\pi$
$908$	−4.39177	+	2.82242i	−0.145746	+	0.0936653i
$909$	−16.2596	−	9.80713i	−0.539297	−	0.325282i
$910$	−11.3054	−	13.0472i	−0.374771	−	0.432509i
$911$	44.0990	−	12.9486i	1.46106	−	0.429007i	0.547880	−	0.836557i	$-0.315435\pi$
$911$	44.0990	−	12.9486i	1.46106	−	0.429007i	0.913183	+	0.407550i	$0.133617\pi$
$912$	−3.80267	+	0.326419i	−0.125919	+	0.0108088i
$913$	13.9823	−	16.1365i	0.462747	−	0.534039i
$914$	4.93444	−	10.8049i	0.163217	−	0.357395i
$915$	3.21272	−	56.1344i	0.106209	−	1.85575i
$916$	−21.1854	+	9.67503i	−0.699984	+	0.319672i
$917$	−2.70699	−	18.8276i	−0.0893928	−	0.621741i
$918$	0.241281	+	2.10567i	0.00796346	+	0.0694975i
$919$		−	3.17257i		−	0.104653i	−0.998630	−	0.0523267i	$-0.983336\pi$
$919$		−	3.17257i		−	0.104653i	0.998630	−	0.0523267i	$-0.0166637\pi$
$920$	−6.07809	−	11.3987i	−0.200389	−	0.375804i
$921$	48.8473	−	11.3564i	1.60957	−	0.374205i
$922$	−29.8357	−	19.1743i	−0.982587	−	0.631470i
$923$	−64.0730	+	9.21230i	−2.10899	+	0.303227i
$924$	4.13004	−	3.18441i	0.135868	−	0.104759i
$925$	1.58581	−	5.40078i	0.0521411	−	0.177576i
$926$	−5.52556	−	2.52344i	−0.181581	−	0.0829253i
$927$	−26.1667	−	6.88085i	−0.859429	−	0.225997i
$928$	−0.163028	+	1.13388i	−0.00535164	+	0.0372215i
$929$	−15.9840	−	54.4365i	−0.524418	−	1.78600i	−0.613171	−	0.789950i	$-0.710106\pi$
$929$	−15.9840	−	54.4365i	−0.524418	−	1.78600i	0.0887530	−	0.996054i	$-0.471712\pi$
$930$	−8.90181	+	12.2510i	−0.291902	+	0.401726i
$931$	−1.19133	−	1.85374i	−0.0390442	−	0.0607539i
$932$	−1.48655	−	2.31312i	−0.0486937	−	0.0757688i
$933$	−17.3335	+	23.8550i	−0.567474	+	0.780978i
$934$	1.10122	+	3.75042i	0.0360331	+	0.122718i
$935$	−0.470789	+	3.27441i	−0.0153965	+	0.107085i
$936$	18.5956	+	4.88993i	0.607816	+	0.159832i
$937$	−20.3126	−	9.27646i	−0.663585	−	0.303049i	0.0550022	−	0.998486i	$-0.482483\pi$
$937$	−20.3126	−	9.27646i	−0.663585	−	0.303049i	−0.718587	+	0.695437i	$0.755211\pi$
$938$	2.13541	−	7.27254i	0.0697236	−	0.237457i
$939$	4.26728	−	3.29022i	0.139257	−	0.107372i
$940$	−30.3962	+	4.37031i	−0.991413	+	0.142544i
$941$	−36.5737	−	23.5045i	−1.19227	−	0.766225i	−0.214667	−	0.976687i	$-0.568867\pi$
$941$	−36.5737	−	23.5045i	−1.19227	−	0.766225i	−0.977602	+	0.210462i	$0.932503\pi$
$942$	37.3490	−	8.68315i	1.21690	−	0.282912i
$943$	−13.5340	+	9.92340i	−0.440729	+	0.323150i
$944$		−	8.74572i		−	0.284649i
$945$	−1.59335	−	13.9053i	−0.0518318	−	0.452338i
$946$	1.78563	+	12.4193i	0.0580559	+	0.403787i
$947$	30.5580	−	13.9553i	0.993000	−	0.453488i	0.148424	−	0.988924i	$-0.452580\pi$
$947$	30.5580	−	13.9553i	0.993000	−	0.453488i	0.844576	+	0.535436i	$0.179853\pi$
$948$	0.633865	−	11.0752i	0.0205870	−	0.359707i
$949$	−42.8745	+	93.8820i	−1.39176	+	3.04754i
$950$	−3.25454	+	3.75594i	−0.105591	+	0.121859i
$951$	−17.6478	+	1.51488i	−0.572269	+	0.0491232i
$952$	0.391366	−	0.114915i	0.0126842	−	0.00372443i
$953$	27.3706	+	31.5873i	0.886620	+	1.02321i	0.999561	+	0.0296125i	$0.00942734\pi$
$953$	27.3706	+	31.5873i	0.886620	+	1.02321i	−0.112941	+	0.993602i	$0.536027\pi$
$954$	3.50490	+	2.11401i	0.113475	+	0.0684438i
$955$	−15.8866	+	10.2097i	−0.514077	+	0.330377i
$956$	5.72711	−	4.96257i	0.185228	−	0.160501i
$957$	2.93743	+	5.20212i	0.0949536	+	0.168161i
$958$	36.4964	+	5.24740i	1.17915	+	0.169536i
$959$	4.15667	+	3.60177i	0.134226	+	0.116307i
$960$	−0.926738	+	4.57245i	−0.0299103	+	0.147575i
$961$	19.6350	+	5.76536i	0.633387	+	0.185979i
$962$	−6.64486	−	14.5502i	−0.214239	−	0.469118i
$963$	−6.32587	−	9.25329i	−0.203848	−	0.298183i
$964$	6.17692	−	9.61148i	0.198945	−	0.309565i
$965$	30.5324			0.982873
$966$	0.0357572	+	8.30655i	0.00115047	+	0.267259i
$967$	−44.9695			−1.44612			−0.723061	−	0.690784i	$-0.757265\pi$
$967$	−44.9695			−1.44612			−0.723061	+	0.690784i	$0.757265\pi$
$968$	1.04566	−	1.62707i	0.0336087	−	0.0522961i
$969$	−1.45072	+	0.564734i	−0.0466040	+	0.0181419i
$970$	9.70822	+	21.2580i	0.311712	+	0.682555i
$971$	−32.9331	−	9.67004i	−1.05687	−	0.310326i	−0.293283	−	0.956026i	$-0.594748\pi$
$971$	−32.9331	−	9.67004i	−1.05687	−	0.310326i	−0.763592	+	0.645699i	$0.776566\pi$
$972$	10.2053	+	11.7835i	0.327335	+	0.377957i
$973$	−5.90883	−	5.12003i	−0.189429	−	0.164141i
$974$	−40.2716	−	5.79018i	−1.29038	−	0.185529i
$975$	21.8017	−	12.3106i	0.698214	−	0.394253i
$976$	9.10807	−	7.89219i	0.291542	−	0.252623i
$977$	−4.07548	+	2.61915i	−0.130386	+	0.0837941i	−0.604208	−	0.796827i	$-0.706510\pi$
$977$	−4.07548	+	2.61915i	−0.130386	+	0.0837941i	0.473822	+	0.880621i	$0.342874\pi$
$978$	28.1576	+	27.3675i	0.900382	+	0.875116i
$979$	−13.9594	−	16.1100i	−0.446144	−	0.514877i
$980$	−2.58447	+	0.758869i	−0.0825579	+	0.0242412i
$981$	12.9731	−	4.21377i	0.414199	−	0.134535i
$982$	7.95818	−	9.18423i	0.253956	−	0.293081i
$983$	−13.2682	+	29.0534i	−0.423191	+	0.926659i	0.571192	+	0.820817i	$0.306481\pi$
$983$	−13.2682	+	29.0534i	−0.423191	+	0.926659i	−0.994383	+	0.105843i	$0.966246\pi$
$984$	6.05114	+	0.346322i	0.192903	+	0.0110403i
$985$	45.8384	−	20.9337i	1.46053	−	0.667003i
$986$	0.0664970	+	0.462497i	0.00211770	+	0.0147289i
$987$	18.5979	+	6.63677i	0.591978	+	0.211251i
$988$			14.1231i			0.449316i
$989$	−17.4443	−	9.75131i	−0.554697	−	0.310074i
$990$	10.7331	+	21.8355i	0.341119	+	0.693978i
$991$	1.76437	+	1.13389i	0.0560470	+	0.0360192i	0.568364	−	0.822777i	$-0.307576\pi$
$991$	1.76437	+	1.13389i	0.0560470	+	0.0360192i	−0.512317	+	0.858796i	$0.671213\pi$
$992$	−3.21289	+	0.461944i	−0.102009	+	0.0146667i
$993$	−3.30137	−	4.28174i	−0.104766	−	0.135877i
$994$	−2.84542	+	9.69062i	−0.0902514	+	0.307368i
$995$	−3.15319	−	1.44001i	−0.0999628	−	0.0456515i
$996$	5.73237	−	10.8627i	0.181637	−	0.344199i
$997$	5.60001	−	38.9489i	0.177354	−	1.23353i	−0.685500	−	0.728073i	$-0.740416\pi$
$997$	5.60001	−	38.9489i	0.177354	−	1.23353i	0.862854	−	0.505453i	$-0.168675\pi$
$998$	−2.77816	−	9.46155i	−0.0879412	−	0.299500i
$999$	2.21329	−	12.7779i	0.0700252	−	0.404274i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.r.a.113.17	✓	240
3.2	odd	2		966.2.r.b.113.7	yes	240
23.11	odd	22		966.2.r.b.701.7	yes	240
69.11	even	22	inner	966.2.r.a.701.17	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.r.a.113.17	✓	240	1.1	even	1	trivial
966.2.r.a.701.17	yes	240	69.11	even	22	inner
966.2.r.b.113.7	yes	240	3.2	odd	2
966.2.r.b.701.7	yes	240	23.11	odd	22

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:	\( N \)	\(=\)	\( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	966.r (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.540641 - 0.841254i) q^{2} +(-0.628320 - 1.61407i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(-2.58447 - 0.758869i) q^{5} +(-1.69754 - 0.344054i) q^{6} +(0.755750 + 0.654861i) q^{7} +(-0.989821 - 0.142315i) q^{8} +(-2.21043 + 2.02830i) q^{9} +O(q^{10})\)	\(q+(0.540641 - 0.841254i) q^{2} +(-0.628320 - 1.61407i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(-2.58447 - 0.758869i) q^{5} +(-1.69754 - 0.344054i) q^{6} +(0.755750 + 0.654861i) q^{7} +(-0.989821 - 0.142315i) q^{8} +(-2.21043 + 2.02830i) q^{9} +(-2.03567 + 1.76392i) q^{10} +(-2.53298 + 1.62785i) q^{11} +(-1.20719 + 1.24205i) q^{12} +(4.19717 + 4.84380i) q^{13} +(0.959493 - 0.281733i) q^{14} +(0.399009 + 4.64832i) q^{15} +(-0.654861 + 0.755750i) q^{16} +(-0.169443 + 0.371028i) q^{17} +(0.511269 + 2.95611i) q^{18} +(-2.00442 + 0.915386i) q^{19} +(0.383336 + 2.66616i) q^{20} +(0.582137 - 1.63129i) q^{21} +3.01096i q^{22} +(-3.81055 - 2.91200i) q^{23} +(0.392219 + 1.68706i) q^{24} +(1.89734 + 1.21935i) q^{25} +(6.34402 - 0.912133i) q^{26} +(4.66267 + 2.29336i) q^{27} +(0.281733 - 0.959493i) q^{28} +(1.04202 + 0.475875i) q^{29} +(4.12614 + 2.17741i) q^{30} +(-0.461944 + 3.21289i) q^{31} +(0.281733 + 0.959493i) q^{32} +(4.21898 + 3.06559i) q^{33} +(0.220521 + 0.343137i) q^{34} +(-1.45626 - 2.26598i) q^{35} +(2.76325 + 1.16809i) q^{36} +(-0.703125 - 2.39462i) q^{37} +(-0.313597 + 2.18112i) q^{38} +(5.18105 - 9.81797i) q^{39} +(2.45017 + 1.11895i) q^{40} +(0.985879 - 3.35759i) q^{41} +(-1.05760 - 1.37167i) q^{42} +(4.12471 - 0.593043i) q^{43} +(2.53298 + 1.62785i) q^{44} +(7.25200 - 3.56466i) q^{45} +(-4.50987 + 1.63129i) q^{46} +11.4007i q^{47} +(1.63129 + 0.582137i) q^{48} +(0.142315 + 0.989821i) q^{49} +(2.05156 - 0.936916i) q^{50} +(0.705329 + 0.0403678i) q^{51} +(2.66250 - 5.83007i) q^{52} +(0.893468 - 1.03112i) q^{53} +(4.45013 - 2.68261i) q^{54} +(7.78175 - 2.28493i) q^{55} +(-0.654861 - 0.755750i) q^{56} +(2.73691 + 2.66011i) q^{57} +(0.963691 - 0.619327i) q^{58} +(-6.60957 + 5.72723i) q^{59} +(4.06251 - 2.29394i) q^{60} +(-11.9290 - 1.71514i) q^{61} +(2.45311 + 2.12563i) q^{62} +(-2.99879 + 0.0853662i) q^{63} +(0.959493 + 0.281733i) q^{64} +(-7.17167 - 15.7038i) q^{65} +(4.85990 - 1.89185i) q^{66} +(4.09782 - 6.37633i) q^{67} +0.407888 q^{68} +(-2.30592 + 7.98015i) q^{69} -2.69358 q^{70} +(-5.46033 + 8.49644i) q^{71} +(2.47659 - 1.69308i) q^{72} +(6.68946 + 14.6479i) q^{73} +(-2.39462 - 0.703125i) q^{74} +(0.775971 - 3.82858i) q^{75} +(1.66533 + 1.44302i) q^{76} +(-2.98032 - 0.428505i) q^{77} +(-5.45832 - 9.66657i) q^{78} +(-4.84040 + 4.19423i) q^{79} +(2.26598 - 1.45626i) q^{80} +(0.771981 - 8.96683i) q^{81} +(-2.29158 - 2.64463i) q^{82} +(-6.80404 + 1.99785i) q^{83} +(-1.72570 + 0.148133i) q^{84} +(0.719482 - 0.830327i) q^{85} +(1.73108 - 3.79055i) q^{86} +(0.113372 - 1.98089i) q^{87} +(2.73887 - 1.25080i) q^{88} +(1.00754 + 7.00759i) q^{89} +(0.921943 - 8.02798i) q^{90} +6.40926i q^{91} +(-1.06589 + 4.67588i) q^{92} +(5.47607 - 1.27312i) q^{93} +(9.59089 + 6.16369i) q^{94} +(5.87502 - 0.844700i) q^{95} +(1.37167 - 1.05760i) q^{96} +(2.44436 - 8.32472i) q^{97} +(0.909632 + 0.415415i) q^{98} +(2.29721 - 8.73590i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 4 q^{3} + 24 q^{4} - 4 q^{5} + 4 q^{9}+O(q^{10}) \) 240 * q - 4 * q^3 + 24 * q^4 - 4 * q^5 + 4 * q^9	\( 240 q - 4 q^{3} + 24 q^{4} - 4 q^{5} + 4 q^{9} + 4 q^{12} - 8 q^{13} + 24 q^{14} + 18 q^{15} - 24 q^{16} + 32 q^{17} - 4 q^{18} + 4 q^{20} - 8 q^{23} + 12 q^{25} - 148 q^{27} + 40 q^{30} + 16 q^{31} + 42 q^{33} - 4 q^{36} + 22 q^{37} + 8 q^{39} + 154 q^{41} + 4 q^{42} + 22 q^{43} + 24 q^{45} + 4 q^{46} - 4 q^{48} + 24 q^{49} + 88 q^{50} + 24 q^{51} + 8 q^{52} - 108 q^{53} + 12 q^{54} - 16 q^{55} - 24 q^{56} - 62 q^{57} - 4 q^{58} + 22 q^{59} - 18 q^{60} - 4 q^{63} + 24 q^{64} - 100 q^{66} - 44 q^{67} - 32 q^{68} - 86 q^{69} + 4 q^{70} + 4 q^{72} - 12 q^{73} - 16 q^{74} - 26 q^{75} - 78 q^{78} - 4 q^{80} + 52 q^{81} + 8 q^{82} + 16 q^{83} - 28 q^{85} + 16 q^{86} - 196 q^{87} + 24 q^{89} + 126 q^{90} + 8 q^{92} - 16 q^{93} - 8 q^{94} + 132 q^{97} + 172 q^{99}+O(q^{100}) \) 240 * q - 4 * q^3 + 24 * q^4 - 4 * q^5 + 4 * q^9 + 4 * q^12 - 8 * q^13 + 24 * q^14 + 18 * q^15 - 24 * q^16 + 32 * q^17 - 4 * q^18 + 4 * q^20 - 8 * q^23 + 12 * q^25 - 148 * q^27 + 40 * q^30 + 16 * q^31 + 42 * q^33 - 4 * q^36 + 22 * q^37 + 8 * q^39 + 154 * q^41 + 4 * q^42 + 22 * q^43 + 24 * q^45 + 4 * q^46 - 4 * q^48 + 24 * q^49 + 88 * q^50 + 24 * q^51 + 8 * q^52 - 108 * q^53 + 12 * q^54 - 16 * q^55 - 24 * q^56 - 62 * q^57 - 4 * q^58 + 22 * q^59 - 18 * q^60 - 4 * q^63 + 24 * q^64 - 100 * q^66 - 44 * q^67 - 32 * q^68 - 86 * q^69 + 4 * q^70 + 4 * q^72 - 12 * q^73 - 16 * q^74 - 26 * q^75 - 78 * q^78 - 4 * q^80 + 52 * q^81 + 8 * q^82 + 16 * q^83 - 28 * q^85 + 16 * q^86 - 196 * q^87 + 24 * q^89 + 126 * q^90 + 8 * q^92 - 16 * q^93 - 8 * q^94 + 132 * q^97 + 172 * q^99

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