LMFDB - Embedded newform 276.2.m.a.19.21

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [276,2,Mod(7,276)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(276, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 0, 19]))

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

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

chi := DirichletCharacter("276.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 276 = 2^{2} \cdot 3 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	276.m (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:	$2.20387109579$
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			19.21
Character	$\chi$	$=$	276.19
Dual form			276.2.m.a.247.21

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.31756 - 0.513838i) q^{2} +(0.281733 + 0.959493i) q^{3} +(1.47194 - 1.35403i) q^{4} +(0.897443 - 1.39645i) q^{5} +(0.864224 + 1.11943i) q^{6} +(-0.549207 - 3.81982i) q^{7} +(1.24362 - 2.54035i) q^{8} +(-0.841254 + 0.540641i) q^{9} +O(q^{10})$	\(q+(1.31756 - 0.513838i) q^{2} +(0.281733 + 0.959493i) q^{3} +(1.47194 - 1.35403i) q^{4} +(0.897443 - 1.39645i) q^{5} +(0.864224 + 1.11943i) q^{6} +(-0.549207 - 3.81982i) q^{7} +(1.24362 - 2.54035i) q^{8} +(-0.841254 + 0.540641i) q^{9} +(0.464889 - 2.30105i) q^{10} +(-2.54953 + 5.58268i) q^{11} +(1.71387 + 1.03084i) q^{12} +(-0.319701 + 2.22357i) q^{13} +(-2.68638 - 4.75065i) q^{14} +(1.59272 + 0.467665i) q^{15} +(0.333223 - 3.98610i) q^{16} +(3.31987 - 2.87669i) q^{17} +(-0.830602 + 1.14460i) q^{18} +(-4.30319 + 4.96615i) q^{19} +(-0.569845 - 3.27065i) q^{20} +(3.51036 - 1.60313i) q^{21} +(-0.490566 + 8.66558i) q^{22} +(4.03133 + 2.59776i) q^{23} +(2.78782 + 0.477549i) q^{24} +(0.932410 + 2.04169i) q^{25} +(0.721327 + 3.09396i) q^{26} +(-0.755750 - 0.654861i) q^{27} +(-5.98054 - 4.87891i) q^{28} +(3.25697 + 3.75874i) q^{29} +(2.33881 - 0.202222i) q^{30} +(-0.0287653 + 0.0979655i) q^{31} +(-1.60916 - 5.42315i) q^{32} +(-6.07483 - 0.873429i) q^{33} +(2.89599 - 5.49609i) q^{34} +(-5.82707 - 2.66113i) q^{35} +(-0.506234 + 1.93487i) q^{36} +(-4.07982 - 6.34832i) q^{37} +(-3.11793 + 8.75436i) q^{38} +(-2.22357 + 0.319701i) q^{39} +(-2.43139 - 4.01648i) q^{40} +(-0.593625 - 0.381500i) q^{41} +(3.80137 - 3.91598i) q^{42} +(-8.96945 + 2.63367i) q^{43} +(3.80635 + 11.6695i) q^{44} +1.65996i q^{45} +(6.64636 + 1.35126i) q^{46} -4.98036i q^{47} +(3.91851 - 0.803288i) q^{48} +(-7.57295 + 2.22362i) q^{49} +(2.27761 + 2.21095i) q^{50} +(3.69548 + 2.37494i) q^{51} +(2.54019 + 3.70584i) q^{52} +(-6.22132 + 0.894491i) q^{53} +(-1.33224 - 0.474487i) q^{54} +(5.50788 + 8.57042i) q^{55} +(-10.3867 - 3.35524i) q^{56} +(-5.97734 - 2.72976i) q^{57} +(6.22264 + 3.27882i) q^{58} +(8.20426 + 1.17960i) q^{59} +(2.97762 - 1.46821i) q^{60} +(0.380592 - 1.29618i) q^{61} +(0.0124383 + 0.143856i) q^{62} +(2.52717 + 2.91651i) q^{63} +(-4.90680 - 6.31849i) q^{64} +(2.81818 + 2.44197i) q^{65} +(-8.45277 + 1.97068i) q^{66} +(-5.11877 - 11.2085i) q^{67} +(0.991549 - 8.72951i) q^{68} +(-1.35678 + 4.59991i) q^{69} +(-9.04491 - 0.512041i) q^{70} +(-3.79678 + 1.73393i) q^{71} +(0.327215 + 2.80944i) q^{72} +(-2.75935 + 3.18445i) q^{73} +(-8.63743 - 6.26795i) q^{74} +(-1.69630 + 1.46985i) q^{75} +(0.390251 + 13.1365i) q^{76} +(22.7251 + 6.67268i) q^{77} +(-2.76541 + 1.56378i) q^{78} +(1.84480 - 12.8309i) q^{79} +(-5.26733 - 4.04262i) q^{80} +(0.415415 - 0.909632i) q^{81} +(-0.978168 - 0.197623i) q^{82} +(13.5659 - 8.71828i) q^{83} +(2.99637 - 7.11284i) q^{84} +(-1.03775 - 7.21770i) q^{85} +(-10.4645 + 8.07886i) q^{86} +(-2.68889 + 4.18400i) q^{87} +(11.0113 + 13.4195i) q^{88} +(2.77607 + 9.45444i) q^{89} +(0.852951 + 2.18710i) q^{90} +8.66921 q^{91} +(9.45132 - 1.63478i) q^{92} -0.102101 q^{93} +(-2.55910 - 6.56194i) q^{94} +(3.07310 + 10.4660i) q^{95} +(4.75012 - 3.07186i) q^{96} +(3.86864 - 6.01972i) q^{97} +(-8.83526 + 6.82103i) q^{98} +(-0.873429 - 6.07483i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9}+O(q^{10}) $ 240 * q - 4 * q^2 - 4 * q^6 - 4 * q^8 + 24 * q^9	$ 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9} - 8 q^{16} + 4 q^{18} + 4 q^{24} + 24 q^{25} - 40 q^{26} + 32 q^{29} + 36 q^{32} - 22 q^{34} - 22 q^{36} - 110 q^{38} - 22 q^{40} - 16 q^{41} - 110 q^{42} - 154 q^{44} - 88 q^{46} - 56 q^{48} - 40 q^{49} - 142 q^{50} - 70 q^{52} - 18 q^{54} - 110 q^{56} - 46 q^{58} - 22 q^{60} + 40 q^{62} - 48 q^{64} - 16 q^{69} - 72 q^{70} + 4 q^{72} + 22 q^{74} + 110 q^{76} - 192 q^{77} + 198 q^{80} - 24 q^{81} + 172 q^{82} - 200 q^{85} + 220 q^{86} + 176 q^{88} - 88 q^{89} + 154 q^{92} - 16 q^{93} + 126 q^{94} - 44 q^{96} - 88 q^{97} + 228 q^{98}+O(q^{100}) $ 240 * q - 4 * q^2 - 4 * q^6 - 4 * q^8 + 24 * q^9 - 8 * q^16 + 4 * q^18 + 4 * q^24 + 24 * q^25 - 40 * q^26 + 32 * q^29 + 36 * q^32 - 22 * q^34 - 22 * q^36 - 110 * q^38 - 22 * q^40 - 16 * q^41 - 110 * q^42 - 154 * q^44 - 88 * q^46 - 56 * q^48 - 40 * q^49 - 142 * q^50 - 70 * q^52 - 18 * q^54 - 110 * q^56 - 46 * q^58 - 22 * q^60 + 40 * q^62 - 48 * q^64 - 16 * q^69 - 72 * q^70 + 4 * q^72 + 22 * q^74 + 110 * q^76 - 192 * q^77 + 198 * q^80 - 24 * q^81 + 172 * q^82 - 200 * q^85 + 220 * q^86 + 176 * q^88 - 88 * q^89 + 154 * q^92 - 16 * q^93 + 126 * q^94 - 44 * q^96 - 88 * q^97 + 228 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/276\mathbb{Z}\right)^\times$.

$n$	$97$	$139$	$185$
$\chi(n)$	$e\left(\frac{15}{22}\right)$	$-1$	$1$

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 $

$2$	1.31756	−	0.513838i	0.931657	−	0.363338i
$2$	1.31756	−	0.513838i	0.931657	−	0.363338i
$3$	0.281733	+	0.959493i	0.162658	+	0.553964i
$3$	0.281733	+	0.959493i	0.162658	+	0.553964i
$4$	1.47194	−	1.35403i	0.735971	−	0.677013i
$5$	0.897443	−	1.39645i	0.401349	−	0.624511i	−0.580481	−	0.814274i	$-0.697136\pi$
$5$	0.897443	−	1.39645i	0.401349	−	0.624511i	0.981830	+	0.189763i	$0.0607719\pi$
$6$	0.864224	+	1.11943i	0.352818	+	0.457004i
$7$	−0.549207	−	3.81982i	−0.207581	−	1.44376i	−0.781019	−	0.624508i	$-0.785300\pi$
$7$	−0.549207	−	3.81982i	−0.207581	−	1.44376i	0.573438	−	0.819249i	$-0.305609\pi$
$8$	1.24362	−	2.54035i	0.439688	−	0.898151i
$9$	−0.841254	+	0.540641i	−0.280418	+	0.180214i
$10$	0.464889	−	2.30105i	0.147011	−	0.727655i
$11$	−2.54953	+	5.58268i	−0.768711	+	1.68324i	−0.0392412	+	0.999230i	$0.512494\pi$
$11$	−2.54953	+	5.58268i	−0.768711	+	1.68324i	−0.729470	+	0.684013i	$0.760233\pi$
$12$	1.71387	+	1.03084i	0.494753	+	0.297579i
$13$	−0.319701	+	2.22357i	−0.0886690	+	0.616706i	0.896232	+	0.443586i	$0.146294\pi$
$13$	−0.319701	+	2.22357i	−0.0886690	+	0.616706i	−0.984901	+	0.173120i	$0.944615\pi$
$14$	−2.68638	−	4.75065i	−0.717966	−	1.26966i
$15$	1.59272	+	0.467665i	0.411239	+	0.120751i
$16$	0.333223	−	3.98610i	0.0833058	−	0.996524i
$17$	3.31987	−	2.87669i	0.805188	−	0.697699i	−0.151614	−	0.988440i	$-0.548447\pi$
$17$	3.31987	−	2.87669i	0.805188	−	0.697699i	0.956802	+	0.290741i	$0.0939017\pi$
$18$	−0.830602	+	1.14460i	−0.195775	+	0.269784i
$19$	−4.30319	+	4.96615i	−0.987221	+	1.13931i	0.00302719	+	0.999995i	$0.499036\pi$
$19$	−4.30319	+	4.96615i	−0.987221	+	1.13931i	−0.990248	+	0.139318i	$0.955509\pi$
$20$	−0.569845	−	3.27065i	−0.127421	−	0.731340i
$21$	3.51036	−	1.60313i	0.766024	−	0.349831i
$22$	−0.490566	+	8.66558i	−0.104589	+	1.84751i
$23$	4.03133	+	2.59776i	0.840591	+	0.541671i
$23$	4.03133	+	2.59776i	0.840591	+	0.541671i
$24$	2.78782	+	0.477549i	0.569062	+	0.0974792i
$25$	0.932410	+	2.04169i	0.186482	+	0.408339i
$26$	0.721327	+	3.09396i	0.141464	+	0.606776i
$27$	−0.755750	−	0.654861i	−0.145444	−	0.126028i
$28$	−5.98054	−	4.87891i	−1.13022	−	0.922028i
$29$	3.25697	+	3.75874i	0.604804	+	0.697981i	0.972747	−	0.231867i	$-0.0744835\pi$
$29$	3.25697	+	3.75874i	0.604804	+	0.697981i	−0.367943	+	0.929848i	$0.619938\pi$
$30$	2.33881	−	0.202222i	0.427007	−	0.0369206i
$31$	−0.0287653	+	0.0979655i	−0.00516639	+	0.0175951i	−0.962036	−	0.272923i	$-0.912010\pi$
$31$	−0.0287653	+	0.0979655i	−0.00516639	+	0.0175951i	0.956869	+	0.290518i	$0.0938277\pi$
$32$	−1.60916	−	5.42315i	−0.284463	−	0.958687i
$33$	−6.07483	−	0.873429i	−1.05749	−	0.152044i
$34$	2.89599	−	5.49609i	0.496658	−	0.942572i
$35$	−5.82707	−	2.66113i	−0.984954	−	0.449813i
$36$	−0.506234	+	1.93487i	−0.0843723	+	0.322479i
$37$	−4.07982	−	6.34832i	−0.670718	−	1.04366i	−0.995209	−	0.0977691i	$-0.968829\pi$
$37$	−4.07982	−	6.34832i	−0.670718	−	1.04366i	0.324491	−	0.945889i	$-0.394807\pi$
$38$	−3.11793	+	8.75436i	−0.505795	+	1.42014i
$39$	−2.22357	+	0.319701i	−0.356056	+	0.0511931i
$40$	−2.43139	−	4.01648i	−0.384437	−	0.635061i
$41$	−0.593625	−	0.381500i	−0.0927087	−	0.0595803i	0.493465	−	0.869766i	$-0.335730\pi$
$41$	−0.593625	−	0.381500i	−0.0927087	−	0.0595803i	−0.586174	+	0.810185i	$0.699366\pi$
$42$	3.80137	−	3.91598i	0.586565	−	0.604249i
$43$	−8.96945	+	2.63367i	−1.36783	+	0.401630i	−0.881516	−	0.472155i	$-0.843476\pi$
$43$	−8.96945	+	2.63367i	−1.36783	+	0.401630i	−0.486312	+	0.873785i	$0.661658\pi$
$44$	3.80635	+	11.6695i	0.573829	+	1.75925i
$45$			1.65996i			0.247452i
$46$	6.64636	+	1.35126i	0.979952	+	0.199233i
$47$		−	4.98036i		−	0.726460i	−0.931699	−	0.363230i	$-0.881674\pi$
$47$		−	4.98036i		−	0.726460i	0.931699	−	0.363230i	$-0.118326\pi$
$48$	3.91851	−	0.803288i	0.565588	−	0.115945i
$49$	−7.57295	+	2.22362i	−1.08185	+	0.317660i
$50$	2.27761	+	2.21095i	0.322102	+	0.312676i
$51$	3.69548	+	2.37494i	0.517470	+	0.332558i
$52$	2.54019	+	3.70584i	0.352261	+	0.513908i
$53$	−6.22132	+	0.894491i	−0.854564	+	0.122868i	−0.555654	−	0.831414i	$-0.687532\pi$
$53$	−6.22132	+	0.894491i	−0.854564	+	0.122868i	−0.298910	+	0.954281i	$0.596623\pi$
$54$	−1.33224	−	0.474487i	−0.181295	−	0.0645695i
$55$	5.50788	+	8.57042i	0.742682	+	1.15564i
$56$	−10.3867	−	3.35524i	−1.38798	−	0.448363i
$57$	−5.97734	−	2.72976i	−0.791718	−	0.361565i
$58$	6.22264	+	3.27882i	0.817073	+	0.430531i
$59$	8.20426	+	1.17960i	1.06810	+	0.153570i	0.653875	−	0.756602i	$-0.273142\pi$
$59$	8.20426	+	1.17960i	1.06810	+	0.153570i	0.414229	+	0.910173i	$0.364051\pi$
$60$	2.97762	−	1.46821i	0.384410	−	0.189545i
$61$	0.380592	−	1.29618i	0.0487298	−	0.165959i	−0.931533	−	0.363656i	$-0.881528\pi$
$61$	0.380592	−	1.29618i	0.0487298	−	0.165959i	0.980263	+	0.197698i	$0.0633465\pi$
$62$	0.0124383	+	0.143856i	0.00157967	+	0.0182698i
$63$	2.52717	+	2.91651i	0.318394	+	0.367446i
$64$	−4.90680	−	6.31849i	−0.613349	−	0.789812i
$65$	2.81818	+	2.44197i	0.349553	+	0.302889i
$66$	−8.45277	+	1.97068i	−1.04046	+	0.242574i
$67$	−5.11877	−	11.2085i	−0.625357	−	1.36934i	−0.911558	−	0.411171i	$-0.865120\pi$
$67$	−5.11877	−	11.2085i	−0.625357	−	1.36934i	0.286201	−	0.958170i	$-0.407607\pi$
$68$	0.991549	−	8.72951i	0.120243	−	1.05861i
$69$	−1.35678	+	4.59991i	−0.163337	+	0.553764i
$70$	−9.04491	−	0.512041i	−1.08107	−	0.0612006i
$71$	−3.79678	+	1.73393i	−0.450595	+	0.205780i	−0.627769	−	0.778400i	$-0.716032\pi$
$71$	−3.79678	+	1.73393i	−0.450595	+	0.205780i	0.177174	+	0.984180i	$0.443304\pi$
$72$	0.327215	+	2.80944i	0.0385627	+	0.331095i
$73$	−2.75935	+	3.18445i	−0.322957	+	0.372712i	−0.893891	−	0.448283i	$-0.852036\pi$
$73$	−2.75935	+	3.18445i	−0.322957	+	0.372712i	0.570935	+	0.820996i	$0.306581\pi$
$74$	−8.63743	−	6.26795i	−1.00408	−	0.728634i
$75$	−1.69630	+	1.46985i	−0.195872	+	0.169724i
$76$	0.390251	+	13.1365i	0.0447649	+	1.50686i
$77$	22.7251	+	6.67268i	2.58976	+	0.760423i
$78$	−2.76541	+	1.56378i	−0.313121	+	0.177063i
$79$	1.84480	−	12.8309i	0.207557	−	1.44359i	−0.573540	−	0.819177i	$-0.694430\pi$
$79$	1.84480	−	12.8309i	0.207557	−	1.44359i	0.781097	−	0.624410i	$-0.214661\pi$
$80$	−5.26733	−	4.04262i	−0.588905	−	0.451979i
$81$	0.415415	−	0.909632i	0.0461572	−	0.101070i
$82$	−0.978168	−	0.197623i	−0.108021	−	0.0218238i
$83$	13.5659	−	8.71828i	1.48905	−	0.956956i	0.492829	−	0.870126i	$-0.335963\pi$
$83$	13.5659	−	8.71828i	1.48905	−	0.956956i	0.996223	−	0.0868295i	$-0.0276735\pi$
$84$	2.99637	−	7.11284i	0.326931	−	0.776074i
$85$	−1.03775	−	7.21770i	−0.112560	−	0.782869i
$86$	−10.4645	+	8.07886i	−1.12842	+	0.871166i
$87$	−2.68889	+	4.18400i	−0.288280	+	0.448572i
$88$	11.0113	+	13.4195i	1.17381	+	1.43052i
$89$	2.77607	+	9.45444i	0.294263	+	1.00217i	0.965387	+	0.260823i	$0.0839939\pi$
$89$	2.77607	+	9.45444i	0.294263	+	1.00217i	−0.671123	+	0.741346i	$0.734188\pi$
$90$	0.852951	+	2.18710i	0.0899089	+	0.230541i
$91$	8.66921			0.908780
$92$	9.45132	−	1.63478i	0.985368	−	0.170438i
$93$	−0.102101			−0.0105874
$94$	−2.55910	−	6.56194i	−0.263951	−	0.676812i
$95$	3.07310	+	10.4660i	0.315294	+	1.07379i
$96$	4.75012	−	3.07186i	0.484807	−	0.313520i
$97$	3.86864	−	6.01972i	0.392801	−	0.611210i	−0.587381	−	0.809311i	$-0.699841\pi$
$97$	3.86864	−	6.01972i	0.392801	−	0.611210i	0.980182	+	0.198101i	$0.0634773\pi$
$98$	−8.83526	+	6.82103i	−0.892496	+	0.689028i
$99$	−0.873429	−	6.07483i	−0.0877829	−	0.610543i
$100$	4.13696	+	1.74275i	0.413696	+	0.174275i
$101$	−7.57293	+	4.86683i	−0.753535	+	0.484268i	−0.860155	−	0.510032i	$-0.829633\pi$
$101$	−7.57293	+	4.86683i	−0.753535	+	0.484268i	0.106620	+	0.994300i	$0.465997\pi$
$102$	6.08936	+	1.23025i	0.602936	+	0.121813i
$103$	0.145478	−	0.318553i	0.0143344	−	0.0313880i	−0.902329	−	0.431047i	$-0.858144\pi$
$103$	0.145478	−	0.318553i	0.0143344	−	0.0313880i	0.916664	+	0.399659i	$0.130872\pi$
$104$	5.25106	+	3.57743i	0.514909	+	0.350796i
$105$	0.911663	−	6.34076i	0.0889692	−	0.618795i
$106$	−7.73735	+	4.37530i	−0.751518	+	0.424966i
$107$	0.322982	+	0.0948361i	0.0312238	+	0.00916815i	0.297307	−	0.954782i	$-0.403911\pi$
$107$	0.322982	+	0.0948361i	0.0312238	+	0.00916815i	−0.266083	+	0.963950i	$0.585730\pi$
$108$	−1.99912	+	0.0593884i	−0.192365	+	0.00571466i
$109$	−10.0536	+	8.71149i	−0.962960	+	0.834409i	−0.986240	−	0.165320i	$-0.947134\pi$
$109$	−10.0536	+	8.71149i	−0.962960	+	0.834409i	0.0232805	+	0.999729i	$0.492589\pi$
$110$	11.6608	+	8.46191i	1.11181	+	0.806812i
$111$	4.94175	−	5.70309i	0.469051	−	0.541313i
$112$	−15.4092	+	0.916340i	−1.45603	+	0.0865860i
$113$	2.07166	−	0.946095i	0.194885	−	0.0890011i	−0.315582	−	0.948898i	$-0.602200\pi$
$113$	2.07166	−	0.946095i	0.194885	−	0.0890011i	0.510467	+	0.859897i	$0.329472\pi$
$114$	−9.27817	−	0.525245i	−0.868980	−	0.0491937i
$115$	7.24553	−	3.29821i	0.675649	−	0.307559i
$116$	9.88351	+	1.12263i	0.917661	+	0.104233i
$117$	−0.933202	−	2.04343i	−0.0862745	−	0.188915i
$118$	11.4158	−	2.66147i	1.05091	−	0.245008i
$119$	−12.8117	−	11.1014i	−1.17445	−	1.01767i
$120$	3.16878	−	3.46448i	0.289269	−	0.316262i
$121$	−17.4628	−	20.1532i	−1.58753	−	1.83211i
$122$	−0.164571	−	1.90336i	−0.0148996	−	0.172322i
$123$	0.198803	−	0.677060i	0.0179254	−	0.0610485i
$124$	0.0903071	+	0.183148i	0.00810982	+	0.0164472i
$125$	11.9032	+	1.71143i	1.06466	+	0.153075i
$126$	4.82832	+	2.54413i	0.430141	+	0.226649i
$127$	4.41087	+	2.01438i	0.391401	+	0.178747i	0.601388	−	0.798957i	$-0.294615\pi$
$127$	4.41087	+	2.01438i	0.391401	+	0.178747i	−0.209986	+	0.977704i	$0.567342\pi$
$128$	−9.71169	−	5.80371i	−0.858400	−	0.512981i
$129$	−5.05397	−	7.86413i	−0.444977	−	0.692398i
$130$	4.96791	+	1.76936i	0.435714	+	0.155183i
$131$	−2.07926	+	0.298952i	−0.181665	+	0.0261195i	−0.232547	−	0.972585i	$-0.574706\pi$
$131$	−2.07926	+	0.298952i	−0.181665	+	0.0261195i	0.0508816	+	0.998705i	$0.483797\pi$
$132$	−10.1244	+	6.93985i	−0.881220	+	0.604036i
$133$	21.3332	+	13.7100i	1.84982	+	1.18881i
$134$	−12.5037	−	12.1377i	−1.08015	−	1.04854i
$135$	−1.59272	+	0.467665i	−0.137080	+	0.0402502i
$136$	−3.17913	−	12.0112i	−0.272608	−	1.02995i
$137$		−	7.76087i		−	0.663056i	−0.943445	−	0.331528i	$-0.892436\pi$
$137$		−	7.76087i		−	0.663056i	0.943445	−	0.331528i	$-0.107564\pi$
$138$	0.575971	+	6.75783i	0.0490299	+	0.575265i
$139$			0.971180i			0.0823744i	0.999151	+	0.0411872i	$0.0131140\pi$
$139$			0.971180i			0.0823744i	−0.999151	+	0.0411872i	$0.986886\pi$
$140$	−12.1803	+	3.97297i	−1.02943	+	0.335778i
$141$	4.77862	−	1.40313i	0.402432	−	0.118165i
$142$	−4.11153	+	4.23549i	−0.345032	+	0.355434i
$143$	−11.5984	−	7.45383i	−0.969906	−	0.623321i
$144$	1.87472	+	3.53347i	0.156227	+	0.294456i
$145$	8.17184	−	1.17493i	0.678634	−	0.0975728i
$146$	−1.99932	+	5.61357i	−0.165465	+	0.464583i
$147$	−4.26710	−	6.63973i	−0.351944	−	0.547636i
$148$	−14.6011	−	3.82018i	−1.20020	−	0.314016i
$149$	−4.76100	−	2.17428i	−0.390036	−	0.178124i	0.210737	−	0.977543i	$-0.432413\pi$
$149$	−4.76100	−	2.17428i	−0.390036	−	0.178124i	−0.600774	+	0.799419i	$0.705141\pi$
$150$	−1.47972	+	2.80825i	−0.120818	+	0.229292i
$151$	3.56420	+	0.512455i	0.290051	+	0.0417030i	0.285804	−	0.958288i	$-0.407739\pi$
$151$	3.56420	+	0.512455i	0.290051	+	0.0417030i	0.00424626	+	0.999991i	$0.498648\pi$
$152$	7.26422	+	17.1077i	0.589206	+	1.38761i
$153$	−1.23760	+	4.21488i	−0.100054	+	0.340753i
$154$	33.3704	−	2.88532i	2.68906	−	0.232506i
$155$	0.110989	+	0.128088i	0.00891482	+	0.0102882i
$156$	−2.84008	+	3.48135i	−0.227388	+	0.278731i
$157$	2.63005	+	2.27896i	0.209901	+	0.181880i	0.753466	−	0.657487i	$-0.228380\pi$
$157$	2.63005	+	2.27896i	0.209901	+	0.181880i	−0.543565	+	0.839367i	$0.682926\pi$
$158$	−4.16235	−	17.8534i	−0.331139	−	1.42034i
$159$	−2.61101	−	5.71730i	−0.207066	−	0.453412i
$160$	−9.01729	−	2.61986i	−0.712879	−	0.207118i
$161$	7.70894	−	16.8257i	0.607550	−	1.32605i
$162$	0.0799319	−	1.41195i	0.00628004	−	0.110933i
$163$	−7.90543	+	3.61029i	−0.619201	+	0.282779i	−0.700213	−	0.713934i	$-0.746912\pi$
$163$	−7.90543	+	3.61029i	−0.619201	+	0.282779i	0.0810127	+	0.996713i	$0.474185\pi$
$164$	−1.39034	+	0.242239i	−0.108568	+	0.0189157i
$165$	−6.67151	+	7.69934i	−0.519377	+	0.599393i
$166$	13.3942	−	18.4576i	1.03959	−	1.43258i
$167$	3.63021	−	3.14559i	0.280914	−	0.243413i	−0.502995	−	0.864289i	$-0.667769\pi$
$167$	3.63021	−	3.14559i	0.280914	−	0.243413i	0.783909	+	0.620876i	$0.213223\pi$
$168$	0.293059	−	10.9113i	0.0226100	−	0.841821i
$169$	7.63137	+	2.24077i	0.587028	+	0.172367i
$170$	−5.07602	−	8.97653i	−0.389313	−	0.688469i
$171$	0.935174	−	6.50427i	0.0715145	−	0.497394i
$172$	−9.63644	+	16.0215i	−0.734772	+	1.22163i
$173$	3.61007	−	7.90495i	0.274469	−	0.601002i	−0.721328	−	0.692593i	$-0.756468\pi$
$173$	3.61007	−	7.90495i	0.274469	−	0.601002i	0.995797	+	0.0915912i	$0.0291953\pi$
$174$	−1.39289	+	6.89434i	−0.105595	+	0.522658i
$175$	7.28682	−	4.68295i	0.550832	−	0.353998i
$176$	21.4036	+	12.0229i	1.61335	+	0.906263i
$177$	1.17960	+	8.20426i	0.0886638	+	0.616670i
$178$	8.51570	+	11.0304i	0.638279	+	0.826761i
$179$	2.17923	−	3.39094i	0.162883	−	0.253451i	−0.750212	−	0.661197i	$-0.770049\pi$
$179$	2.17923	−	3.39094i	0.162883	−	0.253451i	0.913095	+	0.407746i	$0.133685\pi$
$180$	2.24763	+	2.44337i	0.167529	+	0.182118i
$181$	1.75776	+	5.98639i	0.130653	+	0.444965i	0.998669	−	0.0515717i	$-0.0164231\pi$
$181$	1.75776	+	5.98639i	0.130653	+	0.444965i	−0.868016	+	0.496537i	$0.834605\pi$
$182$	11.4222	−	4.45457i	0.846672	−	0.330194i
$183$	1.35090			0.0998613
$184$	11.6127	−	7.01037i	0.856099	−	0.516811i
$185$	−12.5265			−0.920968
$186$	−0.134525	+	0.0524635i	−0.00986384	+	0.00384681i
$187$	7.59553	+	25.8680i	0.555440	+	1.89166i
$188$	−6.74354	−	7.33080i	−0.491823	−	0.534653i
$189$	−2.08639	+	3.24648i	−0.151762	+	0.236147i
$190$	9.42685	+	12.2106i	0.683895	+	0.885848i
$191$	1.59271	+	11.0776i	0.115245	+	0.801544i	0.962679	+	0.270644i	$0.0872368\pi$
$191$	1.59271	+	11.0776i	0.115245	+	0.801544i	−0.847435	+	0.530900i	$0.821854\pi$
$192$	4.68015	−	6.48816i	0.337760	−	0.468243i
$193$	−5.13477	+	3.29992i	−0.369609	+	0.237533i	−0.712239	−	0.701937i	$-0.752319\pi$
$193$	−5.13477	+	3.29992i	−0.369609	+	0.237533i	0.342630	+	0.939470i	$0.388682\pi$
$194$	2.00401	−	9.91921i	0.143880	−	0.712158i
$195$	−1.54908	+	3.39201i	−0.110932	+	0.242907i
$196$	−8.13611	+	13.5270i	−0.581150	+	0.966216i
$197$	−3.07564	+	21.3916i	−0.219130	+	1.52409i	0.522128	+	0.852867i	$0.325138\pi$
$197$	−3.07564	+	21.3916i	−0.219130	+	1.52409i	−0.741259	+	0.671219i	$0.765771\pi$
$198$	−4.27227	−	7.55517i	−0.303617	−	0.536922i
$199$	−5.51427	−	1.61913i	−0.390896	−	0.114777i	0.0803776	−	0.996764i	$-0.474387\pi$
$199$	−5.51427	−	1.61913i	−0.390896	−	0.114777i	−0.471274	+	0.881987i	$0.656206\pi$
$200$	6.34619	+	0.170449i	0.448744	+	0.0120525i
$201$	9.31239	−	8.06923i	0.656845	−	0.569160i
$202$	−7.47705	+	10.3036i	−0.526084	+	0.724960i
$203$	12.5690	−	14.5054i	0.882169	−	1.01808i
$204$	8.65526	−	1.50800i	0.605989	−	0.105581i
$205$	−1.06549	+	0.486593i	−0.0744170	+	0.0339851i
$206$	0.0279922	−	0.494466i	0.00195031	−	0.0344511i
$207$	−4.79583	−	0.00587241i	−0.333333	−	0.000408161i
$208$	8.75682	+	2.01530i	0.607176	+	0.139736i
$209$	−16.7533	−	36.6847i	−1.15885	−	2.53753i
$210$	−2.05695	−	8.82279i	−0.141943	−	0.608830i
$211$	9.68533	+	8.39239i	0.666766	+	0.577756i	0.921084	−	0.389365i	$-0.127305\pi$
$211$	9.68533	+	8.39239i	0.666766	+	0.577756i	−0.254318	+	0.967121i	$0.581851\pi$
$212$	−7.94625	+	9.74047i	−0.545751	+	0.668978i
$213$	−2.73337	−	3.15448i	−0.187287	−	0.216141i
$214$	0.474279	−	0.0410079i	0.0324211	−	0.00280324i
$215$	−4.37179	+	14.8889i	−0.298153	+	1.01542i
$216$	−2.60345	+	1.10547i	−0.177142	+	0.0752177i
$217$	0.390009	+	0.0560748i	0.0264755	+	0.00380660i
$218$	−8.76994	+	16.6438i	−0.593976	+	1.12726i
$219$	−3.83286	−	1.75041i	−0.259001	−	0.118282i
$220$	19.7119	+	5.15735i	1.32897	+	0.347708i
$221$	5.33514	+	8.30164i	0.358880	+	0.558429i
$222$	3.58061	−	10.0534i	0.240315	−	0.674742i
$223$	19.1826	−	2.75805i	1.28456	−	0.184692i	0.533997	−	0.845486i	$-0.320689\pi$
$223$	19.1826	−	2.75805i	1.28456	−	0.184692i	0.750567	+	0.660794i	$0.229780\pi$
$224$	−19.8317	+	9.12516i	−1.32506	+	0.609700i
$225$	−1.88822	−	1.21348i	−0.125881	−	0.0808989i
$226$	2.24340	−	2.31104i	0.149229	−	0.153728i
$227$	3.56850	−	1.04781i	0.236850	−	0.0695454i	−0.161153	−	0.986929i	$-0.551521\pi$
$227$	3.56850	−	1.04781i	0.236850	−	0.0695454i	0.398003	+	0.917384i	$0.369703\pi$
$228$	−12.4945	+	4.07543i	−0.827466	+	0.269902i
$229$		−	20.6370i		−	1.36373i	−0.731478	−	0.681865i	$-0.761169\pi$
$229$		−	20.6370i		−	1.36373i	0.731478	−	0.681865i	$-0.238831\pi$
$230$	7.85170	−	8.06862i	0.517725	−	0.532029i
$231$			23.6845i			1.55832i
$232$	13.5990	−	3.59939i	0.892817	−	0.236311i
$233$	−18.3308	+	5.38242i	−1.20089	+	0.352614i	−0.820194	−	0.572085i	$-0.806135\pi$
$233$	−18.3308	+	5.38242i	−1.20089	+	0.352614i	−0.380699	+	0.924699i	$0.624317\pi$
$234$	−2.27954	−	2.21283i	−0.149018	−	0.144657i
$235$	−6.95482	−	4.46959i	−0.453682	−	0.291564i
$236$	13.6734	−	9.37250i	0.890063	−	0.610098i
$237$	12.8309	−	1.84480i	0.833456	−	0.119833i
$238$	−22.5846	−	8.04367i	−1.46394	−	0.521394i
$239$	−6.28537	−	9.78023i	−0.406567	−	0.632631i	0.576237	−	0.817283i	$-0.304521\pi$
$239$	−6.28537	−	9.78023i	−0.406567	−	0.632631i	−0.982804	+	0.184652i	$0.940884\pi$
$240$	2.39489	−	6.19290i	0.154590	−	0.399750i
$241$	9.38424	+	4.28564i	0.604492	+	0.276062i	0.694059	−	0.719919i	$-0.255821\pi$
$241$	9.38424	+	4.28564i	0.604492	+	0.276062i	−0.0895664	+	0.995981i	$0.528548\pi$
$242$	−33.3638	−	17.5800i	−2.14471	−	1.13008i
$243$	0.989821	+	0.142315i	0.0634971	+	0.00912950i
$244$	−1.19485	−	2.42323i	−0.0764924	−	0.155131i
$245$	−3.69112	+	12.5708i	−0.235817	+	0.803120i
$246$	−0.0859640	−	0.994222i	−0.00548087	−	0.0633893i
$247$	−9.66683	−	11.1561i	−0.615086	−	0.709847i
$248$	0.213094	+	0.194906i	0.0135315	+	0.0123766i
$249$	12.1871	+	10.5602i	0.772325	+	0.669224i
$250$	16.5626	−	3.86142i	1.04751	−	0.244218i
$251$	−5.83965	−	12.7870i	−0.368595	−	0.807111i	−0.999511	−	0.0312598i	$-0.990048\pi$
$251$	−5.83965	−	12.7870i	−0.368595	−	0.807111i	0.630916	−	0.775851i	$-0.282679\pi$
$252$	7.66889	+	0.871077i	0.483095	+	0.0548727i
$253$	−24.7805	+	15.8826i	−1.55793	+	0.998530i
$254$	6.84666	+	0.387595i	0.429597	+	0.0243199i
$255$	6.63296	−	3.02917i	0.415372	−	0.189694i
$256$	−15.7779	−	2.65652i	−0.986120	−	0.166033i
$257$	−9.78126	+	11.2882i	−0.610138	+	0.704137i	−0.973803	−	0.227393i	$-0.926980\pi$
$257$	−9.78126	+	11.2882i	−0.610138	+	0.704137i	0.363665	+	0.931530i	$0.381525\pi$
$258$	−10.6998	−	7.76456i	−0.666141	−	0.483401i
$259$	−22.0088	+	19.0707i	−1.36756	+	1.18500i
$260$	7.45469	−	0.221459i	0.462320	−	0.0137343i
$261$	−4.77207	−	1.40121i	−0.295384	−	0.0867324i
$262$	−2.58594	+	1.46229i	−0.159760	+	0.0903405i
$263$	−2.08675	+	14.5137i	−0.128675	+	0.894952i	0.818562	+	0.574418i	$0.194771\pi$
$263$	−2.08675	+	14.5137i	−0.128675	+	0.894952i	−0.947237	+	0.320534i	$0.896138\pi$
$264$	−9.77363	+	14.3460i	−0.601525	+	0.882935i
$265$	−4.33417	+	9.49051i	−0.266246	+	0.582997i
$266$	35.1525	+	7.10198i	2.15534	+	0.435450i
$267$	−8.28936	+	5.32725i	−0.507300	+	0.326022i
$268$	−22.7112	−	9.56736i	−1.38731	−	0.584420i
$269$	−2.90722	−	20.2202i	−0.177256	−	1.23284i	−0.863076	−	0.505074i	$-0.831465\pi$
$269$	−2.90722	−	20.2202i	−0.177256	−	1.23284i	0.685820	−	0.727771i	$-0.259444\pi$
$270$	−1.85821	+	1.43458i	−0.113087	+	0.0873057i
$271$	−1.04412	+	1.62468i	−0.0634255	+	0.0986921i	−0.871518	−	0.490364i	$-0.836864\pi$
$271$	−1.04412	+	1.62468i	−0.0634255	+	0.0986921i	0.808092	+	0.589056i	$0.200500\pi$
$272$	−10.3605	−	14.1919i	−0.628197	−	0.860511i
$273$	2.44240	+	8.31805i	0.147821	+	0.503431i
$274$	−3.98783	−	10.2254i	−0.240914	−	0.617741i
$275$	−13.7753			−0.830684
$276$	4.23131	+	8.60791i	0.254695	+	0.518135i
$277$	20.1759			1.21225			0.606127	−	0.795368i	$-0.292722\pi$
$277$	20.1759			1.21225			0.606127	+	0.795368i	$0.292722\pi$
$278$	0.499029	+	1.27959i	0.0299298	+	0.0767447i
$279$	−0.0287653	−	0.0979655i	−0.00172213	−	0.00586504i
$280$	−14.0069	+	11.4934i	−0.837072	+	0.686860i
$281$	−4.74118	+	7.37742i	−0.282835	+	0.440100i	−0.953382	−	0.301767i	$-0.902423\pi$
$281$	−4.74118	+	7.37742i	−0.282835	+	0.440100i	0.670546	+	0.741868i	$0.266060\pi$
$282$	5.57515	−	4.30415i	0.331995	−	0.256308i
$283$	4.05566	+	28.2077i	0.241084	+	1.67678i	0.646710	+	0.762736i	$0.276145\pi$
$283$	4.05566	+	28.2077i	0.241084	+	1.67678i	−0.405626	+	0.914039i	$0.632946\pi$
$284$	−3.24085	+	7.69318i	−0.192309	+	0.456506i
$285$	−9.17629	+	5.89724i	−0.543556	+	0.349322i
$286$	−19.1117	−	3.86120i	−1.13010	−	0.228317i
$287$	−1.13124	+	2.47707i	−0.0667749	+	0.146217i
$288$	4.28569	+	3.69227i	0.252537	+	0.217569i
$289$	0.326882	−	2.27351i	0.0192284	−	0.133736i
$290$	10.1632	−	5.74705i	0.596802	−	0.337478i
$291$	6.86580	+	2.01598i	0.402480	+	0.118179i
$292$	0.250241	+	8.42356i	0.0146443	+	0.492951i
$293$	6.07728	−	5.26600i	0.355039	−	0.307643i	−0.459019	−	0.888426i	$-0.651799\pi$
$293$	6.07728	−	5.26600i	0.355039	−	0.307643i	0.814058	+	0.580783i	$0.197254\pi$
$294$	−9.03391	−	6.55566i	−0.526868	−	0.382334i
$295$	9.01010	−	10.3982i	0.524589	−	0.605407i
$296$	−21.2008	+	2.46925i	−1.23227	+	0.143522i
$297$	5.58268	−	2.54953i	0.323940	−	0.147939i
$298$	−7.39014	−	0.418362i	−0.428099	−	0.0242351i
$299$	−7.06511	+	8.13343i	−0.408586	+	0.470368i
$300$	−0.506635	+	4.46037i	−0.0292506	+	0.257520i
$301$	14.9862	+	32.8153i	0.863792	+	1.89144i
$302$	4.95938	−	1.15623i	0.285380	−	0.0665336i
$303$	−6.80323	−	5.89503i	−0.390835	−	0.338661i
$304$	18.3616	+	18.8078i	1.05311	+	1.07870i
$305$	−1.46849	−	1.69472i	−0.0840852	−	0.0970395i
$306$	0.535149	+	6.18930i	0.0305924	+	0.353819i
$307$	1.40852	−	4.79696i	0.0803882	−	0.273777i	−0.909484	−	0.415739i	$-0.863523\pi$
$307$	1.40852	−	4.79696i	0.0803882	−	0.273777i	0.989872	+	0.141962i	$0.0453411\pi$
$308$	42.4850	−	20.9486i	2.42081	−	1.19365i
$309$	0.346636	+	0.0498387i	0.0197194	+	0.00283522i
$310$	0.212051	+	0.111733i	0.0120437	+	0.00634603i
$311$	17.0192	+	7.77240i	0.965069	+	0.440732i	0.834683	−	0.550731i	$-0.185651\pi$
$311$	17.0192	+	7.77240i	0.965069	+	0.440732i	0.130386	+	0.991463i	$0.458378\pi$
$312$	−1.95313	+	6.04623i	−0.110574	+	0.342301i
$313$	−12.3304	−	19.1866i	−0.696958	−	1.08449i	−0.991658	−	0.128898i	$-0.958856\pi$
$313$	−12.3304	−	19.1866i	−0.696958	−	1.08449i	0.294700	−	0.955590i	$-0.404780\pi$
$314$	4.63628	+	1.65124i	0.261640	+	0.0931851i
$315$	6.34076	−	0.911663i	0.357261	−	0.0513664i
$316$	−14.6579	−	21.3842i	−0.824572	−	1.20296i
$317$	4.96779	+	3.19261i	0.279019	+	0.179315i	0.672664	−	0.739948i	$-0.265150\pi$
$317$	4.96779	+	3.19261i	0.279019	+	0.179315i	−0.393645	+	0.919262i	$0.628786\pi$
$318$	−6.37793	−	6.19127i	−0.357657	−	0.347189i
$319$	−29.2876	+	8.59962i	−1.63979	+	0.481486i
$320$	−13.2270	+	1.18160i	−0.739413	+	0.0660534i
$321$			0.336617i			0.0187881i
$322$	1.51134	−	26.1300i	0.0842240	−	1.45617i
$323$			28.8659i			1.60614i
$324$	−0.620199	−	1.90141i	−0.0344555	−	0.105634i
$325$	−4.83793	+	1.42055i	−0.268360	+	0.0787977i
$326$	−8.56079	+	8.81888i	−0.474138	+	0.488433i
$327$	−11.1910	−	7.19204i	−0.618866	−	0.397721i
$328$	−1.70739	+	1.03358i	−0.0942749	+	0.0570697i
$329$	−19.0241	+	2.73525i	−1.04883	+	0.150799i
$330$	−4.83393	+	13.5724i	−0.266099	+	0.747138i
$331$	−19.2873	−	30.0116i	−1.06013	−	1.64959i	−0.695661	−	0.718370i	$-0.744888\pi$
$331$	−19.2873	−	30.0116i	−1.06013	−	1.64959i	−0.364465	−	0.931217i	$-0.618748\pi$
$332$	8.16344	−	31.2014i	0.448027	−	1.71240i
$333$	6.86433	+	3.13483i	0.376163	+	0.171788i
$334$	3.16670	−	6.00985i	0.173274	−	0.328844i
$335$	−20.2459	−	2.91093i	−1.10615	−	0.159041i
$336$	−5.22049	−	14.5268i	−0.284801	−	0.792504i
$337$	−3.83039	+	13.0451i	−0.208655	+	0.710612i	0.786955	+	0.617010i	$0.211656\pi$
$337$	−3.83039	+	13.0451i	−0.208655	+	0.710612i	−0.995610	+	0.0936019i	$0.970162\pi$
$338$	11.2062	−	0.968929i	0.609537	−	0.0527028i
$339$	1.49142	+	1.72120i	0.0810031	+	0.0934825i
$340$	−11.3005	−	9.21889i	−0.612853	−	0.499964i
$341$	−0.473573	−	0.410353i	−0.0256454	−	0.0222219i
$342$	−2.10999	−	9.05032i	−0.114095	−	0.489385i
$343$	1.43105	+	3.13357i	0.0772697	+	0.169197i
$344$	−4.46418	+	26.0609i	−0.240692	+	1.40511i
$345$	5.20591	+	6.02282i	0.280277	+	0.324258i
$346$	0.694630	−	12.2703i	0.0373436	−	0.659653i
$347$	−1.25231	+	0.571909i	−0.0672274	+	0.0307017i	−0.448745	−	0.893660i	$-0.648129\pi$
$347$	−1.25231	+	0.571909i	−0.0672274	+	0.0307017i	0.381518	+	0.924362i	$0.375402\pi$
$348$	1.70735	+	9.79944i	0.0915238	+	0.525305i
$349$	23.3137	−	26.9054i	1.24795	−	1.44021i	0.394623	−	0.918843i	$-0.370875\pi$
$349$	23.3137	−	26.9054i	1.24795	−	1.44021i	0.853330	−	0.521372i	$-0.174580\pi$
$350$	7.19456	−	9.91433i	0.384565	−	0.529943i
$351$	1.69774	−	1.47110i	0.0906187	−	0.0785215i
$352$	34.3784	+	4.84302i	1.83237	+	0.258134i
$353$	8.34293	+	2.44971i	0.444049	+	0.130385i	0.496111	−	0.868259i	$-0.334761\pi$
$353$	8.34293	+	2.44971i	0.444049	+	0.130385i	−0.0520614	+	0.998644i	$0.516579\pi$
$354$	5.76985	+	10.2035i	0.306664	+	0.542310i
$355$	−0.986047	+	6.85811i	−0.0523339	+	0.363991i
$356$	16.8878	+	10.1575i	0.895051	+	0.538347i
$357$	7.04226	−	15.4204i	0.372716	−	0.816134i
$358$	1.12887	−	5.58755i	0.0596628	−	0.295311i
$359$	−20.1527	+	12.9514i	−1.06362	+	0.683548i	−0.950718	−	0.310058i	$-0.899651\pi$
$359$	−20.1527	+	12.9514i	−1.06362	+	0.683548i	−0.112904	+	0.993606i	$0.536015\pi$
$360$	4.21689	+	2.06437i	0.222250	+	0.108802i
$361$	−3.44119	−	23.9340i	−0.181115	−	1.25969i
$362$	5.39200	+	6.98424i	0.283397	+	0.367083i
$363$	14.4170	−	22.4332i	0.756695	−	1.17744i
$364$	12.7606	−	11.7383i	0.668835	−	0.615256i
$365$	1.97057	+	6.71115i	0.103144	+	0.351278i
$366$	1.77989	−	0.694143i	0.0930365	−	0.0362834i
$367$	4.69465			0.245059			0.122529	−	0.992465i	$-0.460899\pi$
$367$	4.69465			0.245059			0.122529	+	0.992465i	$0.460899\pi$
$368$	11.6983	−	15.2036i	0.609814	−	0.792545i
$369$	0.705644			0.0367344
$370$	−16.5045	+	6.43660i	−0.858026	+	0.334623i
$371$	6.83359	+	23.2731i	0.354782	+	1.20828i
$372$	−0.150287	+	0.138248i	−0.00779202	+	0.00716782i
$373$	0.439644	−	0.684099i	0.0227639	−	0.0354213i	−0.829685	−	0.558232i	$-0.811480\pi$
$373$	0.439644	−	0.684099i	0.0227639	−	0.0354213i	0.852449	+	0.522810i	$0.175116\pi$
$374$	23.2995	+	30.1798i	1.20479	+	1.56056i
$375$	1.71143	+	11.9032i	0.0883777	+	0.614680i
$376$	−12.6519	−	6.19370i	−0.652471	−	0.319416i
$377$	−9.39907	+	6.04042i	−0.484077	+	0.311097i
$378$	−1.08078	+	5.34951i	−0.0555894	+	0.275149i
$379$	6.92214	−	15.1574i	0.355566	−	0.778581i	−0.644338	−	0.764741i	$-0.722867\pi$
$379$	6.92214	−	15.1574i	0.355566	−	0.778581i	0.999904	−	0.0138406i	$-0.00440575\pi$
$380$	18.6947	+	11.2443i	0.959018	+	0.576821i
$381$	−0.690094	+	4.79971i	−0.0353546	+	0.245897i
$382$	7.79057	+	13.7770i	0.398600	+	0.704892i
$383$	17.2961	+	5.07859i	0.883788	+	0.259504i	0.691969	−	0.721927i	$-0.256743\pi$
$383$	17.2961	+	5.07859i	0.883788	+	0.259504i	0.191819	+	0.981430i	$0.438561\pi$
$384$	2.83252	−	10.9534i	0.144547	−	0.558963i
$385$	29.7125	−	25.7460i	1.51429	−	1.31214i
$386$	−5.06976	+	6.98629i	−0.258044	+	0.355593i
$387$	6.12171	−	7.06483i	0.311184	−	0.359126i
$388$	−2.45645	−	14.0989i	−0.124707	−	0.715764i
$389$	−7.35806	+	3.36031i	−0.373068	+	0.170375i	−0.593121	−	0.805113i	$-0.702104\pi$
$389$	−7.35806	+	3.36031i	−0.373068	+	0.170375i	0.220053	+	0.975488i	$0.429377\pi$
$390$	−0.298065	+	5.26516i	−0.0150931	+	0.266612i
$391$	20.8565	−	2.97264i	1.05476	−	0.150333i
$392$	−3.76913	+	22.0033i	−0.190370	+	1.11134i
$393$	−0.872636	−	1.91081i	−0.0440187	−	0.0963875i
$394$	6.93944	+	29.7651i	0.349604	+	1.49954i
$395$	−16.2621	−	14.0912i	−0.818233	−	0.709003i
$396$	−9.51112	−	7.75915i	−0.477952	−	0.389912i
$397$	2.56150	+	2.95613i	0.128558	+	0.148364i	0.816379	−	0.577517i	$-0.195978\pi$
$397$	2.56150	+	2.95613i	0.128558	+	0.148364i	−0.687821	+	0.725880i	$0.741433\pi$
$398$	−8.09736	+	0.700127i	−0.405884	+	0.0350942i
$399$	−7.14439	+	24.3316i	−0.357667	+	1.21810i
$400$	8.44909	−	3.03634i	0.422454	−	0.151817i
$401$	1.44920	+	0.208364i	0.0723698	+	0.0104052i	0.178405	−	0.983957i	$-0.442906\pi$
$401$	1.44920	+	0.208364i	0.0723698	+	0.0104052i	−0.106035	+	0.994362i	$0.533815\pi$
$402$	8.12338	−	15.4168i	0.405157	−	0.768919i
$403$	−0.208636	−	0.0952811i	−0.0103929	−	0.00474629i
$404$	−4.55710	+	17.4176i	−0.226724	+	0.866560i
$405$	−0.897443	−	1.39645i	−0.0445943	−	0.0693901i
$406$	9.10700	−	25.5701i	0.451973	−	1.26902i
$407$	45.8423	−	6.59113i	2.27232	−	0.326710i
$408$	10.6290	−	6.43429i	0.526213	−	0.318545i
$409$	−16.5947	−	10.6648i	−0.820555	−	0.527339i	0.0617084	−	0.998094i	$-0.480345\pi$
$409$	−16.5947	−	10.6648i	−0.820555	−	0.527339i	−0.882264	+	0.470755i	$0.843981\pi$
$410$	−1.15382	+	1.18861i	−0.0569831	+	0.0587010i
$411$	7.44650	−	2.18649i	0.367309	−	0.107852i
$412$	−0.217194	−	0.665874i	−0.0107004	−	0.0328052i
$413$		−	31.9867i		−	1.57396i
$414$	−6.32182	+	2.45654i	−0.310701	+	0.120732i
$415$		−	26.7683i		−	1.31400i
$416$	12.5732	−	1.84430i	0.616452	−	0.0904242i
$417$	−0.931841	+	0.273613i	−0.0456324	+	0.0133989i
$418$	−40.9236	−	39.7259i	−2.00164	−	1.94306i
$419$	7.69425	+	4.94480i	0.375889	+	0.241569i	0.714920	−	0.699206i	$-0.246463\pi$
$419$	7.69425	+	4.94480i	0.375889	+	0.241569i	−0.339031	+	0.940775i	$0.610099\pi$
$420$	−7.24364	−	10.5676i	−0.353453	−	0.515648i
$421$	−11.6693	+	1.67780i	−0.568728	+	0.0817708i	−0.420680	−	0.907209i	$-0.638208\pi$
$421$	−11.6693	+	1.67780i	−0.568728	+	0.0817708i	−0.148049	+	0.988980i	$0.547299\pi$
$422$	17.0734	+	6.08081i	0.831118	+	0.296009i
$423$	2.69259	+	4.18975i	0.130918	+	0.203712i
$424$	−5.46466	+	16.9168i	−0.265387	+	0.821551i
$425$	8.96880	+	4.09591i	0.435051	+	0.198681i
$426$	−5.22227	−	2.75171i	−0.253020	−	0.133321i
$427$	−5.16019	−	0.741923i	−0.249719	−	0.0359042i
$428$	0.603821	−	0.297733i	0.0291868	−	0.0143915i
$429$	3.88425	−	13.2286i	0.187534	−	0.638681i
$430$	1.89040	+	21.8635i	0.0911630	+	1.05435i
$431$	−6.31520	−	7.28812i	−0.304192	−	0.351057i	0.582987	−	0.812481i	$-0.301884\pi$
$431$	−6.31520	−	7.28812i	−0.304192	−	0.351057i	−0.887179	+	0.461425i	$0.847338\pi$
$432$	−2.86217	+	2.79428i	−0.137706	+	0.134440i
$433$	−1.81588	−	1.57347i	−0.0872654	−	0.0756159i	0.610136	−	0.792297i	$-0.291115\pi$
$433$	−1.81588	−	1.57347i	−0.0872654	−	0.0756159i	−0.697401	+	0.716681i	$0.745660\pi$
$434$	0.542674	−	0.126519i	0.0260492	−	0.00607311i
$435$	3.42961	+	7.50980i	0.164437	+	0.360067i
$436$	−3.00271	+	26.4356i	−0.143804	+	1.26604i
$437$	−30.2485	+	8.84154i	−1.44698	+	0.422948i
$438$	−5.94946	−	0.336804i	−0.284276	−	0.0160931i
$439$	−17.9092	+	8.17887i	−0.854761	+	0.390356i	−0.794089	−	0.607801i	$-0.792052\pi$
$439$	−17.9092	+	8.17887i	−0.854761	+	0.390356i	−0.0606721	+	0.998158i	$0.519324\pi$
$440$	28.6216	−	3.33357i	1.36448	−	0.158922i
$441$	5.16860	−	5.96488i	0.246124	−	0.284042i
$442$	11.2951	+	8.19653i	0.537252	+	0.389869i
$443$	27.4218	−	23.7611i	1.30285	−	1.12892i	0.319423	−	0.947612i	$-0.396511\pi$
$443$	27.4218	−	23.7611i	1.30285	−	1.12892i	0.983426	−	0.181312i	$-0.0580345\pi$
$444$	−0.448161	−	15.0859i	−0.0212688	−	0.715944i
$445$	15.6940	+	4.60818i	0.743967	+	0.218449i
$446$	23.8571	−	13.4907i	1.12967	−	0.638801i
$447$	0.744874	−	5.18071i	0.0352313	−	0.245039i
$448$	−21.4407	+	22.2132i	−1.01298	+	1.04948i
$449$	−2.86266	+	6.26836i	−0.135097	+	0.295822i	−0.965075	−	0.261975i	$-0.915626\pi$
$449$	−2.86266	+	6.26836i	−0.135097	+	0.295822i	0.829977	+	0.557797i	$0.188353\pi$
$450$	−3.11138	−	0.628603i	−0.146672	−	0.0296326i
$451$	3.64326	−	2.34138i	0.171554	−	0.110251i
$452$	1.76832	−	4.19768i	0.0831749	−	0.197442i
$453$	0.512455	+	3.56420i	0.0240772	+	0.167461i
$454$	4.16332	−	3.21418i	0.195394	−	0.150849i
$455$	7.78012	−	12.1061i	0.364738	−	0.567543i
$456$	−14.3681	+	11.7898i	−0.672849	+	0.552106i
$457$	10.3978	+	35.4117i	0.486389	+	1.65649i	0.727590	+	0.686013i	$0.240641\pi$
$457$	10.3978	+	35.4117i	0.486389	+	1.65649i	−0.241201	+	0.970475i	$0.577541\pi$
$458$	−10.6041	−	27.1905i	−0.495495	−	1.27053i
$459$	−4.39282			−0.205039
$460$	6.19914	−	14.6654i	0.289036	−	0.683778i
$461$	−0.436041			−0.0203085			−0.0101542	−	0.999948i	$-0.503232\pi$
$461$	−0.436041			−0.0203085			−0.0101542	+	0.999948i	$0.503232\pi$
$462$	12.1700	+	31.2058i	0.566198	+	1.45182i
$463$	−5.78982	−	19.7183i	−0.269076	−	0.916388i	−0.977559	−	0.210661i	$-0.932438\pi$
$463$	−5.78982	−	19.7183i	−0.269076	−	0.916388i	0.708483	−	0.705728i	$-0.249380\pi$
$464$	16.0680	−	11.7301i	0.745939	−	0.544556i
$465$	−0.0916301	+	0.142579i	−0.00424924	+	0.00661195i
$466$	−21.3863	+	16.5108i	−0.990703	+	0.764846i
$467$	−2.27332	−	15.8113i	−0.105197	−	0.731660i	−0.972335	−	0.233592i	$-0.924952\pi$
$467$	−2.27332	−	15.8113i	−0.105197	−	0.731660i	0.867138	−	0.498068i	$-0.165957\pi$
$468$	−4.14047	−	1.74422i	−0.191393	−	0.0806268i
$469$	−40.0033	+	25.7086i	−1.84718	+	1.18711i
$470$	−11.4600	−	2.31532i	−0.528613	−	0.106798i
$471$	−1.44567	+	3.16558i	−0.0666129	+	0.145862i
$472$	13.1996	−	19.3748i	0.607561	−	0.891796i
$473$	8.16491	−	56.7882i	0.375423	−	2.61112i
$474$	15.9576	−	9.02364i	0.732955	−	0.414469i
$475$	−14.1517	−	4.15531i	−0.649325	−	0.190659i
$476$	−33.8897	+	1.00677i	−1.55333	+	0.0461454i
$477$	4.75011	−	4.11599i	0.217493	−	0.188458i
$478$	−13.3068	−	9.65640i	−0.608640	−	0.441674i
$479$	−7.71417	+	8.90262i	−0.352469	+	0.406771i	−0.904103	−	0.427315i	$-0.859459\pi$
$479$	−7.71417	+	8.90262i	−0.352469	+	0.406771i	0.551633	+	0.834087i	$0.314005\pi$
$480$	−0.0267304	−	9.39012i	−0.00122007	−	0.428599i
$481$	15.4202	−	7.04219i	0.703102	−	0.321096i
$482$	14.5664	+	0.824620i	0.663484	+	0.0375604i
$483$	18.3160	+	2.65634i	0.833406	+	0.120867i
$484$	−52.9921	−	6.01916i	−2.40873	−	0.273598i
$485$	−4.93435	−	10.8047i	−0.224057	−	0.490617i
$486$	1.37728	−	0.321099i	0.0624746	−	0.0145653i
$487$	−5.70434	−	4.94284i	−0.258488	−	0.223981i	0.515970	−	0.856607i	$-0.327432\pi$
$487$	−5.70434	−	4.94284i	−0.258488	−	0.223981i	−0.774458	+	0.632626i	$0.781977\pi$
$488$	−2.81944	−	2.57880i	−0.127630	−	0.116737i
$489$	−5.69126	−	6.56807i	−0.257368	−	0.297018i
$490$	1.59607	+	18.4595i	0.0721032	+	0.833914i
$491$	6.31866	−	21.5194i	0.285157	−	0.971156i	−0.684972	−	0.728569i	$-0.740186\pi$
$491$	6.31866	−	21.5194i	0.285157	−	0.971156i	0.970130	−	0.242587i	$-0.0779961\pi$
$492$	−0.624132	−	1.26578i	−0.0281380	−	0.0570657i
$493$	21.6255	+	3.10927i	0.973962	+	0.140035i
$494$	−18.4691	−	9.73170i	−0.830964	−	0.437850i
$495$	−9.26704	−	4.23212i	−0.416523	−	0.190219i
$496$	0.380915	+	0.147305i	0.0171036	+	0.00661421i
$497$	8.70852	+	13.5507i	0.390631	+	0.607833i
$498$	21.4835	+	7.65150i	0.962697	+	0.342872i
$499$	14.9546	−	2.15015i	0.669461	−	0.0962539i	0.200800	−	0.979632i	$-0.435646\pi$
$499$	14.9546	−	2.15015i	0.669461	−	0.0962539i	0.468661	+	0.883378i	$0.344737\pi$
$500$	19.8382	−	13.5982i	0.887190	−	0.608129i
$501$	4.04092	+	2.59694i	0.180535	+	0.116023i
$502$	−14.2646	−	13.8471i	−0.636659	−	0.618026i
$503$	2.01584	−	0.591905i	0.0898820	−	0.0263918i	−0.236482	−	0.971636i	$-0.575995\pi$
$503$	2.01584	−	0.591905i	0.0898820	−	0.0263918i	0.326364	+	0.945244i	$0.394176\pi$
$504$	10.5518	−	2.79287i	0.470016	−	0.124404i
$505$			14.9429i			0.664951i
$506$	−24.4887	+	33.6595i	−1.08866	+	1.49635i
$507$			7.95354i			0.353229i
$508$	9.22006	−	3.00739i	0.409074	−	0.133431i
$509$	33.3381	−	9.78896i	1.47769	−	0.433888i	0.559098	−	0.829102i	$-0.311148\pi$
$509$	33.3381	−	9.78896i	1.47769	−	0.433888i	0.918589	+	0.395214i	$0.129330\pi$
$510$	7.18284	−	7.39939i	0.318061	−	0.327650i
$511$	13.6795	+	8.79128i	0.605145	+	0.388903i
$512$	−22.1534	+	4.60716i	−0.979052	+	0.203610i
$513$	6.50427	−	0.935174i	0.287171	−	0.0412889i
$514$	−7.08713	+	19.8989i	−0.312600	+	0.877701i
$515$	−0.314285	−	0.489037i	−0.0138490	−	0.0215495i
$516$	−18.0874	−	4.73233i	−0.796253	−	0.208329i
$517$	27.8038	+	12.6976i	1.22281	+	0.558438i
$518$	−19.1987	+	36.4358i	−0.843542	+	1.60090i
$519$	8.60182	+	1.23675i	0.377578	+	0.0542875i
$520$	9.70823	−	4.12229i	0.425734	−	0.180774i
$521$	−10.7158	+	36.4946i	−0.469467	+	1.59886i	0.295870	+	0.955228i	$0.404390\pi$
$521$	−10.7158	+	36.4946i	−0.469467	+	1.59886i	−0.765337	+	0.643630i	$0.777428\pi$
$522$	−7.00749	+	0.605893i	−0.306709	+	0.0265192i
$523$	−0.656922	−	0.758128i	−0.0287252	−	0.0331506i	0.741205	−	0.671279i	$-0.234255\pi$
$523$	−0.656922	−	0.758128i	−0.0287252	−	0.0331506i	−0.769930	+	0.638128i	$0.779709\pi$
$524$	−2.65575	+	3.25541i	−0.116017	+	0.142213i
$525$	6.54620	+	5.67231i	0.285699	+	0.247560i
$526$	4.70825	+	20.1949i	0.205289	+	0.880541i
$527$	0.186319	+	0.407982i	0.00811618	+	0.0177720i
$528$	−5.50585	+	23.9238i	−0.239611	+	1.04115i
$529$	9.50328	+	20.9449i	0.413186	+	0.910647i
$530$	−0.833957	+	14.7314i	−0.0362248	+	0.639891i
$531$	−7.53960	+	3.44322i	−0.327191	+	0.149423i
$532$	49.9648	−	8.70537i	2.16625	−	0.377425i
$533$	1.03807	−	1.19800i	0.0449639	−	0.0518911i
$534$	−8.18441	+	11.2784i	−0.354174	+	0.488063i
$535$	0.422292	−	0.365918i	0.0182573	−	0.0158200i
$536$	−34.8395	−	0.935733i	−1.50484	−	0.0404175i
$537$	3.86755	+	1.13561i	0.166897	+	0.0490054i
$538$	−14.2203	−	25.1475i	−0.613082	−	1.08418i
$539$	6.89368	−	47.9466i	0.296932	−	2.06521i
$540$	−1.71116	+	2.84496i	−0.0736367	+	0.122428i
$541$	6.73711	−	14.7522i	0.289651	−	0.634248i	−0.707737	−	0.706476i	$-0.750284\pi$
$541$	6.73711	−	14.7522i	0.289651	−	0.634248i	0.997388	+	0.0722285i	$0.0230111\pi$
$542$	−0.540868	+	2.67712i	−0.0232323	+	0.114992i
$543$	−5.24868	+	3.37312i	−0.225242	+	0.144755i
$544$	−20.9429	−	13.3751i	−0.897921	−	0.573454i
$545$	3.14262	+	21.8574i	0.134615	+	0.936268i
$546$	7.49214	+	9.70455i	0.320634	+	0.415316i
$547$	−15.2723	+	23.7642i	−0.652997	+	1.01608i	0.344024	+	0.938961i	$0.388210\pi$
$547$	−15.2723	+	23.7642i	−0.652997	+	1.01608i	−0.997022	+	0.0771228i	$0.975427\pi$
$548$	−10.5084	−	11.4236i	−0.448898	−	0.487990i
$549$	0.380592	+	1.29618i	0.0162433	+	0.0553195i
$550$	−18.1499	+	7.07829i	−0.773913	+	0.301819i
$551$	−32.6819			−1.39229
$552$	9.99808	+	9.16725i	0.425546	+	0.390184i
$553$	−50.0249			−2.12727
$554$	26.5830	−	10.3672i	1.12941	−	0.440458i
$555$	−3.52913	−	12.0191i	−0.149803	−	0.510182i
$556$	1.31500	+	1.42952i	0.0557686	+	0.0606252i
$557$	−20.2610	+	31.5267i	−0.858485	+	1.33583i	0.0822244	+	0.996614i	$0.473798\pi$
$557$	−20.2610	+	31.5267i	−0.858485	+	1.33583i	−0.940709	+	0.339214i	$0.889839\pi$
$558$	−0.0882384	−	0.114295i	−0.00373543	−	0.00483849i
$559$	−2.98860	−	20.7861i	−0.126404	−	0.879160i
$560$	−12.5492	+	22.3405i	−0.530302	+	0.944058i
$561$	−22.6803	+	14.5757i	−0.957561	+	0.615387i
$562$	−2.45600	+	12.1564i	−0.103600	+	0.512787i
$563$	−13.7108	+	30.0225i	−0.577842	+	1.26530i	0.364673	+	0.931135i	$0.381181\pi$
$563$	−13.7108	+	30.0225i	−0.577842	+	1.26530i	−0.942516	+	0.334162i	$0.891547\pi$
$564$	5.13397	−	8.53570i	0.216179	−	0.359418i
$565$	0.538023	−	3.74203i	0.0226348	−	0.157428i
$566$	19.8378	+	35.0815i	0.833844	+	1.47459i
$567$	−3.70278	−	1.08723i	−0.155502	−	0.0456596i
$568$	−0.316970	+	11.8015i	−0.0132998	+	0.495181i
$569$	13.0177	−	11.2799i	0.545731	−	0.472879i	−0.337822	−	0.941210i	$-0.609690\pi$
$569$	13.0177	−	11.2799i	0.545731	−	0.472879i	0.883553	+	0.468331i	$0.155145\pi$
$570$	−9.06011	+	12.4851i	−0.379486	+	0.522944i
$571$	2.32436	−	2.68246i	0.0972715	−	0.112257i	−0.705027	−	0.709181i	$-0.749065\pi$
$571$	2.32436	−	2.68246i	0.0972715	−	0.112257i	0.802298	+	0.596924i	$0.203610\pi$
$572$	−27.1648	+	4.73292i	−1.13582	+	0.197893i
$573$	−10.1801	+	4.64911i	−0.425281	+	0.194219i
$574$	−0.217667	+	3.84496i	−0.00908523	+	0.160486i
$575$	−1.54498	+	10.6529i	−0.0644299	+	0.444258i
$576$	7.54389	+	2.66264i	0.314329	+	0.110943i
$577$	−11.9937	−	26.2625i	−0.499303	−	1.09332i	−0.976695	−	0.214631i	$-0.931145\pi$
$577$	−11.9937	−	26.2625i	−0.499303	−	1.09332i	0.477392	−	0.878690i	$-0.341582\pi$
$578$	−0.737530	−	3.16346i	−0.0306772	−	0.131583i
$579$	−4.61288	−	3.99708i	−0.191705	−	0.166113i
$580$	10.4376	−	12.7943i	0.433397	−	0.531255i
$581$	−40.7528	−	47.0312i	−1.69071	−	1.95118i
$582$	10.0820	−	0.871727i	0.417913	−	0.0361343i
$583$	10.8678	−	37.0122i	0.450097	−	1.53289i
$584$	4.65805	+	10.9700i	0.192752	+	0.453941i
$585$	−3.69104	−	0.530691i	−0.152606	−	0.0219414i
$586$	5.30133	−	10.0610i	0.218996	−	0.415617i
$587$	20.0951	+	9.17714i	0.829415	+	0.378781i	0.784438	−	0.620207i	$-0.212951\pi$
$587$	20.0951	+	9.17714i	0.829415	+	0.378781i	0.0449766	+	0.998988i	$0.485679\pi$
$588$	−15.2713	−	3.99553i	−0.629777	−	0.164773i
$589$	−0.362729	−	0.564417i	−0.0149460	−	0.0232564i
$590$	6.52838	−	18.3300i	0.268769	−	0.754635i
$591$	−21.3916	+	3.07564i	−0.879932	+	0.126515i
$592$	−26.6645	+	14.1471i	−1.09590	+	0.581444i
$593$	13.3476	+	8.57798i	0.548120	+	0.352255i	0.785207	−	0.619233i	$-0.212556\pi$
$593$	13.3476	+	8.57798i	0.548120	+	0.352255i	−0.237087	+	0.971488i	$0.576193\pi$
$594$	6.04549	−	6.22775i	0.248050	−	0.255528i
$595$	−27.0004	+	7.92802i	−1.10691	+	0.325017i
$596$	−9.95194	+	3.24611i	−0.407647	+	0.132966i
$597$		−	5.74706i		−	0.235212i
$598$	−5.12946	+	14.3466i	−0.209759	+	0.586677i
$599$			17.6187i			0.719880i	0.932975	+	0.359940i	$0.117203\pi$
$599$			17.6187i			0.719880i	−0.932975	+	0.359940i	$0.882797\pi$
$600$	1.62438	+	6.13715i	0.0663152	+	0.250548i
$601$	−6.94911	+	2.04044i	−0.283460	+	0.0832313i	−0.420372	−	0.907352i	$-0.638100\pi$
$601$	−6.94911	+	2.04044i	−0.283460	+	0.0832313i	0.136912	+	0.990583i	$0.456282\pi$
$602$	36.6070	+	35.5357i	1.49199	+	1.44833i
$603$	10.3660	+	6.66181i	0.422135	+	0.271290i
$604$	5.94017	−	4.07172i	0.241702	−	0.165676i
$605$	−43.8147	+	6.29961i	−1.78132	+	0.256115i
$606$	−11.9928	−	4.27132i	−0.487173	−	0.173510i
$607$	25.3917	+	39.5102i	1.03062	+	1.60367i	0.769805	+	0.638279i	$0.220353\pi$
$607$	25.3917	+	39.5102i	1.03062	+	1.60367i	0.260811	+	0.965390i	$0.416010\pi$
$608$	33.8567	+	15.3455i	1.37307	+	0.622343i
$609$	17.4589	+	7.97321i	0.707470	+	0.323091i
$610$	−2.80563	−	1.47834i	−0.113597	−	0.0598562i
$611$	11.0742	+	1.59222i	0.448013	+	0.0644145i
$612$	3.88539	+	7.87981i	0.157057	+	0.318522i
$613$	2.94961	−	10.0454i	0.119133	−	0.405731i	−0.878235	−	0.478229i	$-0.841279\pi$
$613$	2.94961	−	10.0454i	0.119133	−	0.405731i	0.997369	+	0.0724978i	$0.0230970\pi$
$614$	−0.609054	−	7.04405i	−0.0245794	−	0.284275i
$615$	−0.767066	−	0.885241i	−0.0309311	−	0.0356964i
$616$	45.2124	−	49.4314i	1.82166	−	1.99165i
$617$	−13.9083	−	12.0516i	−0.559925	−	0.485178i	0.328308	−	0.944571i	$-0.393522\pi$
$617$	−13.9083	−	12.0516i	−0.559925	−	0.485178i	−0.888233	+	0.459393i	$0.848067\pi$
$618$	0.482323	−	0.112449i	0.0194019	−	0.00452336i
$619$	14.7376	+	32.2709i	0.592356	+	1.29708i	0.934008	+	0.357252i	$0.116286\pi$
$619$	14.7376	+	32.2709i	0.592356	+	1.29708i	−0.341652	+	0.939826i	$0.610986\pi$
$620$	0.336803	+	0.0382560i	0.0135263	+	0.00153640i
$621$	−1.34551	−	4.60322i	−0.0539933	−	0.184721i
$622$	26.4176	+	1.49552i	1.05925	+	0.0599650i
$623$	34.5896	−	15.7966i	1.38580	−	0.632876i
$624$	0.533413	+	8.96988i	0.0213536	+	0.359083i
$625$	5.72313	−	6.60485i	0.228925	−	0.264194i
$626$	−26.1049	−	18.9436i	−1.04336	−	0.757140i
$627$	30.4788	−	26.4100i	1.21720	−	1.05471i
$628$	6.95705	−	0.206675i	0.277617	−	0.00824725i
$629$	−31.8066	−	9.33927i	−1.26821	−	0.372381i
$630$	7.88590	−	4.45929i	0.314182	−	0.177663i
$631$	6.10594	−	42.4678i	0.243074	−	1.69061i	−0.393441	−	0.919350i	$-0.628715\pi$
$631$	6.10594	−	42.4678i	0.243074	−	1.69061i	0.636514	−	0.771265i	$-0.280376\pi$
$632$	−30.3007	−	20.6433i	−1.20530	−	0.821145i
$633$	−5.32377	+	11.6574i	−0.211601	+	0.463341i
$634$	8.18586	+	1.65382i	0.325102	+	0.0656816i
$635$	6.77147	−	4.35176i	0.268718	−	0.172694i
$636$	−11.5846	−	4.88017i	−0.459360	−	0.193511i
$637$	−2.52329	−	17.5499i	−0.0999764	−	0.695351i
$638$	−34.1694	+	26.3796i	−1.35278	+	1.04438i
$639$	2.25662	−	3.51137i	0.0892705	−	0.138908i
$640$	−16.8203	+	8.35337i	−0.664880	+	0.330196i
$641$	12.1341	+	41.3248i	0.479266	+	1.63223i	0.744195	+	0.667963i	$0.232834\pi$
$641$	12.1341	+	41.3248i	0.479266	+	1.63223i	−0.264928	+	0.964268i	$0.585348\pi$
$642$	0.172967	+	0.443514i	0.00682645	+	0.0175041i
$643$	20.4142			0.805059			0.402529	−	0.915407i	$-0.368131\pi$
$643$	20.4142			0.805059			0.402529	+	0.915407i	$0.368131\pi$
$644$	−11.4353	−	35.2045i	−0.450614	−	1.38725i
$645$	−15.5175			−0.611001
$646$	14.8324	+	38.0327i	0.583573	+	1.49638i
$647$	−6.89584	−	23.4851i	−0.271103	−	0.923293i	−0.976687	−	0.214667i	$-0.931133\pi$
$647$	−6.89584	−	23.4851i	−0.271103	−	0.923293i	0.705584	−	0.708626i	$-0.250685\pi$
$648$	−1.79417	−	2.18654i	−0.0704815	−	0.0858955i
$649$	−27.5023	+	42.7944i	−1.07956	+	1.67983i
$650$	−5.64435	+	4.35757i	−0.221390	+	0.170918i
$651$	0.0560748	+	0.390009i	0.00219774	+	0.0152856i
$652$	−6.74790	+	16.0183i	−0.264268	+	0.627325i
$653$	26.3809	−	16.9539i	1.03236	−	0.663459i	0.0892762	−	0.996007i	$-0.471545\pi$
$653$	26.3809	−	16.9539i	1.03236	−	0.663459i	0.943086	+	0.332548i	$0.107908\pi$
$654$	−18.4404	−	3.72559i	−0.721078	−	0.145682i
$655$	−1.44854	+	3.17187i	−0.0565993	+	0.123935i
$656$	−1.71850	+	2.23912i	−0.0670963	+	0.0874231i
$657$	0.599663	−	4.17075i	0.0233951	−	0.162716i
$658$	−23.6599	+	13.3792i	−0.922361	+	0.521574i
$659$	−28.1564	−	8.26745i	−1.09682	−	0.322054i	−0.317230	−	0.948349i	$-0.602753\pi$
$659$	−28.1564	−	8.26745i	−1.09682	−	0.322054i	−0.779587	+	0.626294i	$0.784571\pi$
$660$	0.605031	+	20.3664i	0.0235508	+	0.792760i
$661$	2.82622	−	2.44893i	0.109927	−	0.0952525i	−0.598163	−	0.801375i	$-0.704102\pi$
$661$	2.82622	−	2.44893i	0.109927	−	0.0952525i	0.708090	+	0.706122i	$0.249557\pi$
$662$	−40.8333	−	29.6316i	−1.58703	−	1.15167i
$663$	−6.46228	+	7.45787i	−0.250974	+	0.289640i
$664$	−5.27662	−	45.3045i	−0.204773	−	1.75815i
$665$	38.2906	−	17.4867i	1.48485	−	0.678106i
$666$	10.6550	+	0.603188i	0.412872	+	0.0233730i
$667$	3.36561	+	23.6136i	0.130317	+	0.914321i
$668$	1.08424	−	9.54552i	0.0419503	−	0.369327i
$669$	8.05070	+	17.6286i	0.311258	+	0.681560i
$670$	−28.1710	+	6.56780i	−1.08834	+	0.253736i
$671$	6.26582	+	5.42936i	0.241889	+	0.209598i
$672$	−14.3428	−	16.4575i	−0.553284	−	0.634863i
$673$	0.347304	+	0.400810i	0.0133876	+	0.0154501i	0.762404	−	0.647101i	$-0.224019\pi$
$673$	0.347304	+	0.400810i	0.0133876	+	0.0154501i	−0.749016	+	0.662552i	$0.769474\pi$
$674$	1.65629	+	19.1559i	0.0637980	+	0.737859i
$675$	0.632356	−	2.15361i	0.0243394	−	0.0828924i
$676$	14.2670	−	7.03479i	0.548731	−	0.270569i
$677$	42.8397	+	6.15942i	1.64646	+	0.236726i	0.902249	−	0.431215i	$-0.141915\pi$
$677$	42.8397	+	6.15942i	1.64646	+	0.236726i	0.744215	+	0.667940i	$0.232824\pi$
$678$	2.84946	+	1.50143i	0.109433	+	0.0576622i
$679$	−25.1189	−	11.4714i	−0.963977	−	0.440233i
$680$	−19.6261	−	6.33986i	−0.752626	−	0.243122i
$681$	2.01073	+	3.12875i	0.0770512	+	0.119894i
$682$	−0.834816	−	0.297326i	−0.0319668	−	0.0113852i
$683$	−36.7248	+	5.28023i	−1.40524	+	0.202043i	−0.802859	−	0.596169i	$-0.796689\pi$
$683$	−36.7248	+	5.28023i	−1.40524	+	0.202043i	−0.602377	+	0.798211i	$0.705780\pi$
$684$	−7.43044	−	10.8402i	−0.284110	−	0.414484i
$685$	−10.8377	−	6.96494i	−0.414086	−	0.266117i
$686$	3.49565	+	3.39335i	0.133465	+	0.129559i
$687$	19.8010	−	5.81411i	0.755457	−	0.221822i
$688$	7.50922	+	36.6307i	0.286286	+	1.39653i
$689$		−	14.1195i		−	0.537910i
$690$	9.95386	+	5.26045i	0.378937	+	0.200262i
$691$		−	36.6558i		−	1.39445i	−0.716852	−	0.697226i	$-0.754417\pi$
$691$		−	36.6558i		−	1.39445i	0.716852	−	0.697226i	$-0.245583\pi$
$692$	−5.38970	−	16.5238i	−0.204886	−	0.628139i
$693$	−22.7251	+	6.67268i	−0.863254	+	0.253474i
$694$	−1.35612	+	1.39701i	−0.0514778	+	0.0530297i
$695$	1.35620	+	0.871579i	0.0514437	+	0.0330609i
$696$	7.28486	+	12.0341i	0.276132	+	0.456150i
$697$	−3.06822	+	0.441143i	−0.116217	+	0.0167095i
$698$	16.8922	−	47.4290i	0.639380	−	1.79522i
$699$	−10.3288	−	16.0719i	−0.390671	−	0.607896i
$700$	4.38493	−	16.7596i	0.165735	−	0.633453i
$701$	−2.52745	−	1.15425i	−0.0954604	−	0.0435953i	0.367113	−	0.930177i	$-0.380346\pi$
$701$	−2.52745	−	1.15425i	−0.0954604	−	0.0435953i	−0.462573	+	0.886581i	$0.653074\pi$
$702$	1.48097	−	2.81063i	0.0558957	−	0.106080i
$703$	49.0830	+	7.05707i	1.85120	+	0.266162i
$704$	47.7842	−	11.2839i	1.80093	−	0.425279i
$705$	2.32914	−	7.93233i	0.0877205	−	0.298749i
$706$	12.2511	−	1.05927i	0.461076	−	0.0398663i
$707$	22.7495	+	26.2544i	0.855584	+	0.987397i
$708$	12.8451	+	10.4790i	0.482748	+	0.393825i
$709$	18.5944	+	16.1122i	0.698328	+	0.605105i	0.929943	−	0.367703i	$-0.119856\pi$
$709$	18.5944	+	16.1122i	0.698328	+	0.605105i	−0.231615	+	0.972808i	$0.574401\pi$
$710$	2.22478	+	9.54265i	0.0834944	+	0.358129i
$711$	5.38495	+	11.7914i	0.201952	+	0.442212i
$712$	27.4700	+	4.70556i	1.02948	+	0.176348i
$713$	−0.370453	+	0.320206i	−0.0138736	+	0.0119918i
$714$	1.35503	−	23.9359i	0.0507109	−	0.895779i
$715$	−20.8178	+	9.50716i	−0.778541	+	0.355548i
$716$	−1.38373	−	7.94201i	−0.0517126	−	0.296807i
$717$	7.61327	−	8.78618i	0.284323	−	0.328126i
$718$	−19.8976	+	27.4195i	−0.742571	+	1.02329i
$719$	−27.5725	+	23.8917i	−1.02828	+	0.891010i	−0.994107	−	0.108406i	$-0.965425\pi$
$719$	−27.5725	+	23.8917i	−1.02828	+	0.891010i	−0.0341740	+	0.999416i	$0.510880\pi$
$720$	6.61677	+	0.553138i	0.246592	+	0.0206142i
$721$	−1.29671	−	0.380750i	−0.0482922	−	0.0141799i
$722$	−16.8322	−	29.7664i	−0.626429	−	1.10779i
$723$	−1.46819	+	10.2115i	−0.0546028	+	0.379770i
$724$	10.6931	+	6.43156i	0.397404	+	0.239027i
$725$	−4.63737	+	10.1544i	−0.172228	+	0.377126i
$726$	7.46821	−	36.9652i	0.277171	−	1.37191i
$727$	12.4650	−	8.01078i	0.462302	−	0.297103i	−0.288681	−	0.957425i	$-0.593217\pi$
$727$	12.4650	−	8.01078i	0.462302	−	0.297103i	0.750983	+	0.660322i	$0.229580\pi$
$728$	10.7812	−	22.0229i	0.399579	−	0.816221i
$729$	0.142315	+	0.989821i	0.00527092	+	0.0366601i
$730$	6.04479	+	7.82981i	0.223728	+	0.289794i
$731$	−22.2012	+	34.5457i	−0.821141	+	1.27772i
$732$	1.98844	−	1.82915i	0.0734950	−	0.0676074i
$733$	−8.31639	−	28.3230i	−0.307173	−	1.04614i	−0.957966	−	0.286880i	$-0.907382\pi$
$733$	−8.31639	−	28.3230i	−0.307173	−	1.04614i	0.650793	−	0.759255i	$-0.274436\pi$
$734$	6.18549	−	2.41229i	0.228311	−	0.0890391i
$735$	−13.1015			−0.483257
$736$	7.60098	−	26.0428i	0.280176	−	0.959949i
$737$	75.6241			2.78565
$738$	0.929730	−	0.362586i	0.0342238	−	0.0133470i
$739$	1.65840	+	5.64799i	0.0610053	+	0.207765i	0.984355	−	0.176194i	$-0.0563786\pi$
$739$	1.65840	+	5.64799i	0.0610053	+	0.207765i	−0.923350	+	0.383959i	$0.874560\pi$
$740$	−18.4383	+	16.9612i	−0.677805	+	0.623507i
$741$	7.98076	−	12.4183i	0.293180	−	0.456198i
$742$	20.9623	+	27.1524i	0.769549	+	0.996794i
$743$	0.708462	+	4.92746i	0.0259910	+	0.180771i	0.998682	−	0.0513347i	$-0.0163475\pi$
$743$	0.708462	+	4.92746i	0.0259910	+	0.180771i	−0.972691	+	0.232106i	$0.925438\pi$
$744$	−0.126976	+	0.259373i	−0.00465515	+	0.00950909i
$745$	−7.30899	+	4.69720i	−0.267781	+	0.172092i
$746$	0.227742	−	1.12725i	0.00833824	−	0.0412715i
$747$	−6.69891	+	14.6686i	−0.245100	+	0.536695i
$748$	46.2061	+	27.7916i	1.68946	+	1.01616i
$749$	0.184873	−	1.28582i	0.00675510	−	0.0469828i
$750$	8.37124	+	14.8039i	0.305675	+	0.540560i
$751$	34.0247	+	9.99055i	1.24158	+	0.364561i	0.835608	−	0.549326i	$-0.185115\pi$
$751$	34.0247	+	9.99055i	1.24158	+	0.364561i	0.405971	+	0.913886i	$0.366934\pi$
$752$	−19.8522	−	1.65957i	−0.723935	−	0.0605184i
$753$	10.6239	−	9.20562i	0.387155	−	0.335472i
$754$	−9.28007	+	12.7882i	−0.337960	+	0.465720i
$755$	3.91428	−	4.51732i	0.142455	−	0.164402i
$756$	1.32478	+	7.60366i	0.0481819	+	0.276542i
$757$	−41.2971	+	18.8597i	−1.50097	+	0.685469i	−0.985223	−	0.171274i	$-0.945212\pi$
$757$	−41.2971	+	18.8597i	−1.50097	+	0.685469i	−0.515744	+	0.856743i	$0.672484\pi$
$758$	1.33192	−	23.5276i	0.0483775	−	0.854562i
$759$	−22.2207	−	19.3020i	−0.806560	−	0.700620i
$760$	30.4092	+	5.20904i	1.10306	+	0.188952i
$761$	0.986176	+	2.15942i	0.0357489	+	0.0782791i	0.926664	−	0.375891i	$-0.122663\pi$
$761$	0.986176	+	2.15942i	0.0357489	+	0.0782791i	−0.890915	+	0.454170i	$0.849936\pi$
$762$	1.55703	+	6.67852i	0.0564053	+	0.241937i
$763$	38.7978	+	33.6185i	1.40458	+	1.21707i
$764$	17.3437	+	14.1489i	0.627473	+	0.511891i
$765$	4.77519	+	5.51086i	0.172647	+	0.199246i
$766$	25.3982	−	2.19602i	0.917675	−	0.0793455i
$767$	−5.24582	+	17.8656i	−0.189415	+	0.645090i
$768$	−1.89624	−	15.8872i	−0.0684248	−	0.573281i
$769$	42.1855	+	6.06535i	1.52125	+	0.218722i	0.851693	−	0.524041i	$-0.175576\pi$
$769$	42.1855	+	6.06535i	1.52125	+	0.218722i	0.669554	+	0.742764i	$0.266485\pi$
$770$	25.9188	−	49.1894i	0.934049	−	1.77266i
$771$	−13.5866	−	6.20480i	−0.489310	−	0.223460i
$772$	−3.08991	+	11.8099i	−0.111208	+	0.425048i
$773$	4.01349	+	6.24511i	0.144355	+	0.224621i	0.905900	−	0.423491i	$-0.139195\pi$
$773$	4.01349	+	6.24511i	0.144355	+	0.224621i	−0.761545	+	0.648112i	$0.775559\pi$
$774$	4.43556	−	12.4539i	0.159433	−	0.447647i
$775$	−0.226837	+	0.0326142i	−0.00814821	+	0.00117154i
$776$	−10.4811	−	17.3140i	−0.376249	−	0.621536i
$777$	−24.4988	−	15.7444i	−0.878890	−	0.564829i
$778$	−7.96805	+	8.20827i	−0.285668	+	0.294281i
$779$	4.44907	−	1.30637i	0.159405	−	0.0468054i
$780$	2.31272	+	7.09033i	0.0828086	+	0.253875i
$781$		−	25.6169i		−	0.916645i
$782$	25.9522	−	14.6335i	0.928050	−	0.523292i
$783$		−	4.97353i		−	0.177739i
$784$	6.34008	+	30.9275i	0.226431	+	1.10455i
$785$	5.54277	−	1.62750i	0.197830	−	0.0580881i
$786$	−2.13160	−	2.06921i	−0.0760316	−	0.0738064i
$787$	−38.9723	−	25.0460i	−1.38921	−	0.892794i	−0.389611	−	0.920979i	$-0.627391\pi$
$787$	−38.9723	−	25.0460i	−1.38921	−	0.892794i	−0.999603	+	0.0281856i	$0.991027\pi$
$788$	24.4376	+	35.6516i	0.870553	+	1.27004i
$789$	−14.5137	+	2.08675i	−0.516701	+	0.0742903i
$790$	−28.6669	−	10.2099i	−1.01992	−	0.363253i
$791$	−4.75168	−	7.39376i	−0.168950	−	0.262892i
$792$	−16.5184	−	5.33599i	−0.586957	−	0.189606i
$793$	2.76046	+	1.26066i	0.0980269	+	0.0447674i
$794$	4.89390	+	2.57869i	0.173678	+	0.0915142i
$795$	−10.3272	−	1.48482i	−0.366266	−	0.0526611i
$796$	−10.3090	+	5.08319i	−0.365394	+	0.180169i
$797$	−13.0959	+	44.6007i	−0.463882	+	1.57984i	0.312719	+	0.949846i	$0.398760\pi$
$797$	−13.0959	+	44.6007i	−0.463882	+	1.57984i	−0.776602	+	0.629992i	$0.783058\pi$
$798$	3.08929	+	35.7294i	0.109360	+	1.26481i
$799$	−14.3269	−	16.5342i	−0.506851	−	0.584937i
$800$	9.57202	−	8.34202i	0.338422	−	0.294935i
$801$	−7.44684	−	6.45272i	−0.263121	−	0.227996i
$802$	2.01648	−	0.470123i	0.0712045	−	0.0166006i
$803$	−10.7428	−	23.5234i	−0.379104	−	0.830123i
$804$	2.78134	−	24.4867i	0.0980902	−	0.863578i
$805$	−16.5779	−	25.8652i	−0.584293	−	0.911630i
$806$	−0.323851	−	0.0183335i	−0.0114072	−	0.000645769i
$807$	18.5820	−	8.48613i	0.654119	−	0.298726i
$808$	2.94558	+	25.2904i	0.103625	+	0.889715i
$809$	−8.99117	+	10.3764i	−0.316113	+	0.364814i	−0.891463	−	0.453094i	$-0.850320\pi$
$809$	−8.99117	+	10.3764i	−0.316113	+	0.364814i	0.575350	+	0.817907i	$0.304866\pi$
$810$	−1.89999	−	1.37877i	−0.0667587	−	0.0484450i
$811$	−39.9139	+	34.5856i	−1.40157	+	1.21447i	−0.455609	+	0.890180i	$0.650578\pi$
$811$	−39.9139	+	34.5856i	−1.40157	+	1.21447i	−0.945959	+	0.324285i	$0.894876\pi$
$812$	−1.13986	−	38.3698i	−0.0400014	−	1.34652i
$813$	−1.85303	−	0.544098i	−0.0649885	−	0.0190823i
$814$	57.0133	−	32.2397i	1.99832	−	1.13000i
$815$	−2.05309	+	14.2795i	−0.0719166	+	0.500191i
$816$	10.6982	−	13.9391i	0.374510	−	0.487968i
$817$	25.5181	−	55.8768i	0.892765	−	1.95488i
$818$	−27.3445	−	5.52451i	−0.956079	−	0.193160i
$819$	−7.29300	+	4.68693i	−0.254838	+	0.163775i
$820$	−0.909479	+	2.15894i	−0.0317604	+	0.0753934i
$821$	−6.58295	−	45.7854i	−0.229746	−	1.59792i	−0.699175	−	0.714951i	$-0.746449\pi$
$821$	−6.58295	−	45.7854i	−0.229746	−	1.59792i	0.469428	−	0.882971i	$-0.344460\pi$
$822$	8.68773	−	6.70713i	0.303019	−	0.233938i
$823$	−23.9430	+	37.2560i	−0.834600	+	1.29866i	0.117561	+	0.993066i	$0.462493\pi$
$823$	−23.9430	+	37.2560i	−0.834600	+	1.29866i	−0.952161	+	0.305598i	$0.901144\pi$
$824$	−0.628318	−	0.765727i	−0.0218885	−	0.0266754i
$825$	−3.88096	−	13.2173i	−0.135118	−	0.460169i
$826$	−16.4360	−	42.1444i	−0.571880	−	1.46639i
$827$	−10.4775			−0.364340			−0.182170	−	0.983267i	$-0.558312\pi$
$827$	−10.4775			−0.364340			−0.182170	+	0.983267i	$0.558312\pi$
$828$	−7.06713	+	6.48504i	−0.245600	+	0.225371i
$829$	−4.38967			−0.152460			−0.0762298	−	0.997090i	$-0.524288\pi$
$829$	−4.38967			−0.152460			−0.0762298	+	0.997090i	$0.524288\pi$
$830$	−13.7545	−	35.2689i	−0.477427	−	1.22420i
$831$	5.68422	+	19.3587i	0.197183	+	0.671545i
$832$	15.6183	−	8.89056i	0.541467	−	0.308225i
$833$	−18.7446	+	29.1672i	−0.649462	+	1.01058i
$834$	−1.08717	+	0.839317i	−0.0376455	+	0.0290632i
$835$	−1.13475	−	7.89238i	−0.0392698	−	0.273127i
$836$	−74.3320	−	31.3133i	−2.57083	−	1.08299i
$837$	0.0858931	−	0.0552001i	0.00296890	−	0.00190800i
$838$	12.6785	+	2.56148i	0.437971	+	0.0884848i
$839$	−2.03770	+	4.46193i	−0.0703491	+	0.154043i	−0.941540	−	0.336902i	$-0.890621\pi$
$839$	−2.03770	+	4.46193i	−0.0703491	+	0.154043i	0.871191	+	0.490945i	$0.163348\pi$
$840$	−14.9740	−	10.2015i	−0.516652	−	0.351984i
$841$	0.606831	−	4.22060i	0.0209252	−	0.145538i
$842$	−14.5130	+	8.20675i	−0.500150	+	0.282823i
$843$	−8.41433	−	2.47067i	−0.289805	−	0.0850944i
$844$	25.6198	−	0.761095i	0.881869	−	0.0261980i
$845$	9.97784	−	8.64585i	0.343248	−	0.297426i
$846$	5.70050	+	4.13670i	0.195987	+	0.142223i
$847$	−67.3908	+	77.7731i	−2.31557	+	2.67231i
$848$	1.49244	+	25.0968i	0.0512505	+	0.861829i
$849$	−25.9225	+	11.8384i	−0.889658	+	0.406293i
$850$	13.9216	+	0.788114i	0.477506	+	0.0270321i
$851$	0.0443148	−	36.1906i	0.00151909	−	1.24060i
$852$	−8.29461	−	0.942149i	−0.284168	−	0.0322775i
$853$	−10.2597	−	22.4657i	−0.351287	−	0.769211i	−0.999967	−	0.00814964i	$-0.997406\pi$
$853$	−10.2597	−	22.4657i	−0.351287	−	0.769211i	0.648680	−	0.761061i	$-0.275321\pi$
$854$	−7.18010	+	1.67397i	−0.245698	+	0.0572821i
$855$	−8.24362	−	7.14314i	−0.281926	−	0.244290i
$856$	0.642586	−	0.702548i	0.0219631	−	0.0240126i
$857$	−6.64276	−	7.66615i	−0.226912	−	0.261871i	0.630865	−	0.775893i	$-0.282700\pi$
$857$	−6.64276	−	7.66615i	−0.226912	−	0.261871i	−0.857777	+	0.514022i	$0.828155\pi$
$858$	−1.67958	−	19.4253i	−0.0573401	−	0.663170i
$859$	−7.58826	+	25.8432i	−0.258908	+	0.881760i	0.722750	+	0.691110i	$0.242878\pi$
$859$	−7.58826	+	25.8432i	−0.258908	+	0.881760i	−0.981658	+	0.190650i	$0.938940\pi$
$860$	13.7250	+	27.8352i	0.468019	+	0.949171i
$861$	−2.69543	−	0.387545i	−0.0918601	−	0.0132075i
$862$	−12.0656	−	6.35757i	−0.410955	−	0.216540i
$863$	−9.55801	−	4.36500i	−0.325358	−	0.148586i	0.246039	−	0.969260i	$-0.420871\pi$
$863$	−9.55801	−	4.36500i	−0.325358	−	0.148586i	−0.571397	+	0.820674i	$0.693598\pi$
$864$	−2.33528	+	5.15232i	−0.0794480	+	0.175286i
$865$	−7.79903	−	12.1355i	−0.265175	−	0.412620i
$866$	−3.20104	−	1.14007i	−0.108776	−	0.0387413i
$867$	2.27351	−	0.326882i	0.0772126	−	0.0111015i
$868$	0.649997	−	0.445543i	0.0220623	−	0.0151227i
$869$	66.9274	+	43.0116i	2.27036	+	1.45907i
$870$	8.37755	+	8.13237i	0.284025	+	0.275713i
$871$	26.5594	−	7.79854i	0.899931	−	0.264244i
$872$	9.62737	+	36.3735i	0.326024	+	1.23176i
$873$			7.15566i			0.242182i
$874$	−35.3111	+	27.1921i	−1.19442	+	0.919786i
$875$		−	46.4082i		−	1.56888i
$876$	−8.01184	+	2.61330i	−0.270695	+	0.0882951i
$877$	2.31527	−	0.679825i	0.0781812	−	0.0229561i	−0.242408	−	0.970174i	$-0.577937\pi$
$877$	2.31527	−	0.679825i	0.0781812	−	0.0229561i	0.320589	+	0.947218i	$0.396119\pi$
$878$	−19.3939	+	19.9786i	−0.654513	+	0.674246i
$879$	6.76486	+	4.34751i	0.228173	+	0.146638i
$880$	35.9979	−	19.0991i	1.21349	−	0.643829i
$881$	21.3117	−	3.06416i	0.718010	−	0.103234i	0.226381	−	0.974039i	$-0.427311\pi$
$881$	21.3117	−	3.06416i	0.718010	−	0.103234i	0.491629	+	0.870805i	$0.336401\pi$
$882$	3.74497	−	10.5149i	0.126100	−	0.354056i
$883$	23.2159	+	36.1246i	0.781277	+	1.21569i	0.972215	+	0.234089i	$0.0752106\pi$
$883$	23.2159	+	36.1246i	0.781277	+	1.21569i	−0.190938	+	0.981602i	$0.561153\pi$
$884$	19.0937	+	4.99561i	0.642189	+	0.168020i
$885$	12.5155	+	5.71562i	0.420702	+	0.192128i
$886$	23.9206	−	45.3971i	0.803627	−	1.52515i
$887$	−20.6173	−	2.96431i	−0.692260	−	0.0995319i	−0.212800	−	0.977096i	$-0.568258\pi$
$887$	−20.6173	−	2.96431i	−0.692260	−	0.0995319i	−0.479460	+	0.877564i	$0.659167\pi$
$888$	−8.34217	−	19.6463i	−0.279945	−	0.659287i
$889$	5.27207	−	17.9550i	0.176820	−	0.602193i
$890$	23.0457	−	1.99261i	0.772493	−	0.0667926i
$891$	4.01908	+	4.63826i	0.134644	+	0.155388i
$892$	24.5013	−	30.0335i	0.820363	−	1.00560i
$893$	24.7332	+	21.4315i	0.827666	+	0.717176i
$894$	−1.68063	−	7.20865i	−0.0562086	−	0.241093i
$895$	−2.77955	−	6.08636i	−0.0929100	−	0.203445i
$896$	−16.8354	+	40.2844i	−0.562432	+	1.34581i
$897$	−9.79444	−	4.48747i	−0.327027	−	0.149832i
$898$	−0.550818	+	9.72990i	−0.0183810	+	0.324691i
$899$	−0.461915	+	0.210949i	−0.0154057	+	0.00703555i
$900$	−4.42243	+	0.770519i	−0.147414	+	0.0256840i
$901$	−18.0808	+	20.8664i	−0.602360	+	0.695160i
$902$	3.59713	−	4.95696i	0.119771	−	0.165049i
$903$	−27.2639	+	23.6243i	−0.907286	+	0.786167i
$904$	0.172950	−	6.43933i	0.00575224	−	0.214169i
$905$	9.93718	+	2.91782i	0.330323	+	0.0969916i
$906$	2.50661	+	4.43274i	0.0832766	+	0.147268i
$907$	−7.74931	+	53.8977i	−0.257312	+	1.78964i	0.294477	+	0.955659i	$0.404855\pi$
$907$	−7.74931	+	53.8977i	−0.257312	+	1.78964i	−0.551789	+	0.833984i	$0.686055\pi$
$908$	3.83387	−	6.37416i	0.127231	−	0.211534i
$909$	3.73955	−	8.18847i	0.124033	−	0.271595i
$910$	4.03022	−	19.9483i	0.133601	−	0.661279i
$911$	6.61438	−	4.25081i	0.219144	−	0.140835i	−0.426463	−	0.904505i	$-0.640241\pi$
$911$	6.61438	−	4.25081i	0.219144	−	0.140835i	0.645607	+	0.763669i	$0.276604\pi$
$912$	−12.8729	+	22.9166i	−0.426263	+	0.758845i
$913$	14.0848	+	97.9617i	0.466138	+	3.24206i
$914$	31.8956	+	41.3143i	1.05501	+	1.36656i
$915$	1.21235	−	1.88646i	0.0400792	−	0.0623645i
$916$	−27.9430	−	30.3764i	−0.923264	−	1.00367i
$917$	2.28389	+	7.77820i	0.0754205	+	0.256859i
$918$	−5.78782	+	2.25720i	−0.191026	+	0.0744986i
$919$	48.3590			1.59522			0.797609	−	0.603175i	$-0.206098\pi$
$919$	48.3590			1.59522			0.797609	+	0.603175i	$0.206098\pi$
$920$	0.632109	−	22.5079i	0.0208400	−	0.742065i
$921$	4.99948			0.164738
$922$	−0.574511	+	0.224054i	−0.0189205	+	0.00737884i
$923$	−2.64168	−	8.99673i	−0.0869519	−	0.296131i
$924$	32.0694	+	34.8621i	1.05501	+	1.14688i
$925$	9.15727	−	14.2490i	0.301089	−	0.468504i
$926$	−17.7605	−	23.0051i	−0.583645	−	0.755994i
$927$	0.0498387	+	0.346636i	0.00163692	+	0.0113850i
$928$	15.1432	−	23.7115i	0.497101	−	0.778367i
$929$	4.61718	−	2.96728i	0.151485	−	0.0973533i	−0.462703	−	0.886514i	$-0.653120\pi$
$929$	4.61718	−	2.96728i	0.151485	−	0.0973533i	0.614187	+	0.789160i	$0.289484\pi$
$930$	−0.0474658	+	0.234940i	−0.00155646	+	0.00770399i
$931$	21.5451	−	47.1771i	0.706111	−	1.54617i
$932$	−19.6940	+	32.7431i	−0.645098	+	1.07253i
$933$	−2.66271	+	18.5195i	−0.0871730	+	0.606302i
$934$	−11.1197	−	19.6643i	−0.363847	−	0.643434i
$935$	42.9399	+	12.6083i	1.40428	+	0.412335i
$936$	−6.35158	−	0.170593i	−0.207608	−	0.00557602i
$937$	23.6581	−	20.4999i	0.772878	−	0.669702i	−0.176337	−	0.984330i	$-0.556425\pi$
$937$	23.6581	−	20.4999i	0.772878	−	0.669702i	0.949215	+	0.314627i	$0.101880\pi$
$938$	−39.4969	+	54.4279i	−1.28962	+	1.77713i
$939$	14.9355	−	17.2365i	0.487401	−	0.562491i
$940$	−16.2890	+	2.83803i	−0.531289	+	0.0925665i
$941$	38.4661	−	17.5669i	1.25396	−	0.572664i	0.326008	−	0.945367i	$-0.394296\pi$
$941$	38.4661	−	17.5669i	1.25396	−	0.572664i	0.927951	+	0.372703i	$0.121569\pi$
$942$	−0.278168	+	4.91368i	−0.00906320	+	0.160096i
$943$	−1.40206	−	3.08005i	−0.0456572	−	0.100300i
$944$	7.43583	−	32.3099i	0.242016	−	1.05160i
$945$	2.66113	+	5.82707i	0.0865666	+	0.189554i
$946$	−18.4221	−	79.0174i	−0.598955	−	2.56908i
$947$	−18.6968	−	16.2008i	−0.607563	−	0.526457i	0.295846	−	0.955236i	$-0.404398\pi$
$947$	−18.6968	−	16.2008i	−0.607563	−	0.526457i	−0.903409	+	0.428779i	$0.858944\pi$
$948$	16.3884	−	20.0888i	0.532270	−	0.652454i
$949$	−6.19868	−	7.15366i	−0.201218	−	0.232218i
$950$	−20.7809	+	1.79679i	−0.674222	+	0.0582957i
$951$	−1.66370	+	5.66602i	−0.0539490	+	0.183733i
$952$	−44.1345	+	18.7403i	−1.43041	+	0.607377i
$953$	34.9527	+	5.02544i	1.13223	+	0.162790i	0.682856	−	0.730553i	$-0.260738\pi$
$953$	34.9527	+	5.02544i	1.13223	+	0.162790i	0.449374	+	0.893343i	$0.351647\pi$
$954$	4.14361	−	7.86386i	0.134154	−	0.254602i
$955$	16.8986	+	7.71734i	0.546826	+	0.249727i
$956$	−22.4944	−	5.88536i	−0.727521	−	0.190346i
$957$	−16.5025	−	25.6785i	−0.533451	−	0.830067i
$958$	−5.58939	+	15.6936i	−0.180585	+	0.507037i
$959$	−29.6452	+	4.26233i	−0.957292	+	0.137638i
$960$	−4.86022	−	12.3583i	−0.156863	−	0.398864i
$961$	26.0701	+	16.7542i	0.840971	+	0.540459i
$962$	16.6986	−	17.2020i	0.538384	−	0.554616i
$963$	−0.322982	+	0.0948361i	−0.0104079	+	0.00305605i
$964$	19.6159	−	6.39830i	0.631786	−	0.206075i
$965$			10.1319i			0.326158i
$966$	25.4974	−	5.91155i	0.820365	−	0.190201i
$967$		−	37.4995i		−	1.20590i	−0.797778	−	0.602952i	$-0.793991\pi$
$967$		−	37.4995i		−	1.20590i	0.797778	−	0.602952i	$-0.206009\pi$
$968$	−72.9133	+	19.2988i	−2.34352	+	0.620285i
$969$	−27.6967	+	8.13248i	−0.889745	+	0.261253i
$970$	−12.0532	−	11.7004i	−0.387004	−	0.375678i
$971$	49.2907	+	31.6772i	1.58181	+	1.01657i	0.975132	+	0.221623i	$0.0711355\pi$
$971$	49.2907	+	31.6772i	1.58181	+	1.01657i	0.606680	+	0.794946i	$0.292501\pi$
$972$	1.64966	−	1.13077i	0.0529128	−	0.0362693i
$973$	3.70973	−	0.533379i	0.118929	−	0.0170994i
$974$	−10.0556	−	3.58139i	−0.322203	−	0.114755i
$975$	−2.72601	−	4.24175i	−0.0873021	−	0.135845i
$976$	−5.03987	−	1.94899i	−0.161322	−	0.0623857i
$977$	−20.5789	−	9.39808i	−0.658378	−	0.300671i	0.0580692	−	0.998313i	$-0.481506\pi$
$977$	−20.5789	−	9.39808i	−0.658378	−	0.300671i	−0.716447	+	0.697641i	$0.754233\pi$
$978$	−10.8735	−	5.72945i	−0.347697	−	0.183208i
$979$	−59.8588	−	8.60640i	−1.91310	−	0.275062i
$980$	11.5881	+	23.5014i	0.370168	+	0.750724i
$981$	3.74783	−	12.7640i	0.119659	−	0.407522i
$982$	−2.73224	−	31.5999i	−0.0871893	−	1.00839i
$983$	−4.74800	−	5.47948i	−0.151438	−	0.174768i	0.674962	−	0.737853i	$-0.264160\pi$
$983$	−4.74800	−	5.47948i	−0.151438	−	0.174768i	−0.826399	+	0.563084i	$0.809615\pi$
$984$	−1.47274	−	1.34704i	−0.0469491	−	0.0429420i
$985$	27.1120	+	23.4927i	0.863861	+	0.748539i
$986$	30.0905	−	7.01532i	0.958278	−	0.223413i
$987$	−7.98416	−	17.4829i	−0.254139	−	0.556486i
$988$	−29.3347	−	3.33201i	−0.933261	−	0.106005i
$989$	−43.0005	−	12.6833i	−1.36733	−	0.403305i
$990$	−14.3845	−	0.814321i	−0.457170	−	0.0258808i
$991$	28.1173	−	12.8407i	0.893174	−	0.407899i	0.0846834	−	0.996408i	$-0.473012\pi$
$991$	28.1173	−	12.8407i	0.893174	−	0.407899i	0.808491	+	0.588509i	$0.200285\pi$
$992$	0.577570	−	0.00164414i	0.0183379	−	5.22015e-5i
$993$	23.3621	−	26.9613i	0.741373	−	0.855590i
$994$	18.4369	+	13.3792i	0.584783	+	0.424361i
$995$	−7.20978	+	6.24731i	−0.228565	+	0.198053i
$996$	32.2374	−	0.957688i	1.02148	−	0.0303455i
$997$	−46.8151	−	13.7461i	−1.48265	−	0.435345i	−0.562461	−	0.826824i	$-0.690145\pi$
$997$	−46.8151	−	13.7461i	−1.48265	−	0.435345i	−0.920187	+	0.391479i	$0.871964\pi$
$998$	18.5988	−	10.5172i	0.588735	−	0.332916i
$999$	−1.07395	+	7.46946i	−0.0339781	+	0.236323i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	276.2.m.a.19.21	yes	240
3.2	odd	2		828.2.u.c.19.4		240
4.3	odd	2	inner	276.2.m.a.19.4	✓	240
12.11	even	2		828.2.u.c.19.21		240
23.17	odd	22	inner	276.2.m.a.247.4	yes	240
69.17	even	22		828.2.u.c.523.21		240
92.63	even	22	inner	276.2.m.a.247.21	yes	240
276.155	odd	22		828.2.u.c.523.4		240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
276.2.m.a.19.4	✓	240	4.3	odd	2	inner
276.2.m.a.19.21	yes	240	1.1	even	1	trivial
276.2.m.a.247.4	yes	240	23.17	odd	22	inner
276.2.m.a.247.21	yes	240	92.63	even	22	inner
828.2.u.c.19.4		240	3.2	odd	2
828.2.u.c.19.21		240	12.11	even	2
828.2.u.c.523.4		240	276.155	odd	22
828.2.u.c.523.21		240	69.17	even	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:	\( N \)	\(=\)	\( 276 = 2^{2} \cdot 3 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	276.m (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(1.31756 - 0.513838i) q^{2} +(0.281733 + 0.959493i) q^{3} +(1.47194 - 1.35403i) q^{4} +(0.897443 - 1.39645i) q^{5} +(0.864224 + 1.11943i) q^{6} +(-0.549207 - 3.81982i) q^{7} +(1.24362 - 2.54035i) q^{8} +(-0.841254 + 0.540641i) q^{9} +O(q^{10})\)	\(q+(1.31756 - 0.513838i) q^{2} +(0.281733 + 0.959493i) q^{3} +(1.47194 - 1.35403i) q^{4} +(0.897443 - 1.39645i) q^{5} +(0.864224 + 1.11943i) q^{6} +(-0.549207 - 3.81982i) q^{7} +(1.24362 - 2.54035i) q^{8} +(-0.841254 + 0.540641i) q^{9} +(0.464889 - 2.30105i) q^{10} +(-2.54953 + 5.58268i) q^{11} +(1.71387 + 1.03084i) q^{12} +(-0.319701 + 2.22357i) q^{13} +(-2.68638 - 4.75065i) q^{14} +(1.59272 + 0.467665i) q^{15} +(0.333223 - 3.98610i) q^{16} +(3.31987 - 2.87669i) q^{17} +(-0.830602 + 1.14460i) q^{18} +(-4.30319 + 4.96615i) q^{19} +(-0.569845 - 3.27065i) q^{20} +(3.51036 - 1.60313i) q^{21} +(-0.490566 + 8.66558i) q^{22} +(4.03133 + 2.59776i) q^{23} +(2.78782 + 0.477549i) q^{24} +(0.932410 + 2.04169i) q^{25} +(0.721327 + 3.09396i) q^{26} +(-0.755750 - 0.654861i) q^{27} +(-5.98054 - 4.87891i) q^{28} +(3.25697 + 3.75874i) q^{29} +(2.33881 - 0.202222i) q^{30} +(-0.0287653 + 0.0979655i) q^{31} +(-1.60916 - 5.42315i) q^{32} +(-6.07483 - 0.873429i) q^{33} +(2.89599 - 5.49609i) q^{34} +(-5.82707 - 2.66113i) q^{35} +(-0.506234 + 1.93487i) q^{36} +(-4.07982 - 6.34832i) q^{37} +(-3.11793 + 8.75436i) q^{38} +(-2.22357 + 0.319701i) q^{39} +(-2.43139 - 4.01648i) q^{40} +(-0.593625 - 0.381500i) q^{41} +(3.80137 - 3.91598i) q^{42} +(-8.96945 + 2.63367i) q^{43} +(3.80635 + 11.6695i) q^{44} +1.65996i q^{45} +(6.64636 + 1.35126i) q^{46} -4.98036i q^{47} +(3.91851 - 0.803288i) q^{48} +(-7.57295 + 2.22362i) q^{49} +(2.27761 + 2.21095i) q^{50} +(3.69548 + 2.37494i) q^{51} +(2.54019 + 3.70584i) q^{52} +(-6.22132 + 0.894491i) q^{53} +(-1.33224 - 0.474487i) q^{54} +(5.50788 + 8.57042i) q^{55} +(-10.3867 - 3.35524i) q^{56} +(-5.97734 - 2.72976i) q^{57} +(6.22264 + 3.27882i) q^{58} +(8.20426 + 1.17960i) q^{59} +(2.97762 - 1.46821i) q^{60} +(0.380592 - 1.29618i) q^{61} +(0.0124383 + 0.143856i) q^{62} +(2.52717 + 2.91651i) q^{63} +(-4.90680 - 6.31849i) q^{64} +(2.81818 + 2.44197i) q^{65} +(-8.45277 + 1.97068i) q^{66} +(-5.11877 - 11.2085i) q^{67} +(0.991549 - 8.72951i) q^{68} +(-1.35678 + 4.59991i) q^{69} +(-9.04491 - 0.512041i) q^{70} +(-3.79678 + 1.73393i) q^{71} +(0.327215 + 2.80944i) q^{72} +(-2.75935 + 3.18445i) q^{73} +(-8.63743 - 6.26795i) q^{74} +(-1.69630 + 1.46985i) q^{75} +(0.390251 + 13.1365i) q^{76} +(22.7251 + 6.67268i) q^{77} +(-2.76541 + 1.56378i) q^{78} +(1.84480 - 12.8309i) q^{79} +(-5.26733 - 4.04262i) q^{80} +(0.415415 - 0.909632i) q^{81} +(-0.978168 - 0.197623i) q^{82} +(13.5659 - 8.71828i) q^{83} +(2.99637 - 7.11284i) q^{84} +(-1.03775 - 7.21770i) q^{85} +(-10.4645 + 8.07886i) q^{86} +(-2.68889 + 4.18400i) q^{87} +(11.0113 + 13.4195i) q^{88} +(2.77607 + 9.45444i) q^{89} +(0.852951 + 2.18710i) q^{90} +8.66921 q^{91} +(9.45132 - 1.63478i) q^{92} -0.102101 q^{93} +(-2.55910 - 6.56194i) q^{94} +(3.07310 + 10.4660i) q^{95} +(4.75012 - 3.07186i) q^{96} +(3.86864 - 6.01972i) q^{97} +(-8.83526 + 6.82103i) q^{98} +(-0.873429 - 6.07483i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9}+O(q^{10}) \) 240 * q - 4 * q^2 - 4 * q^6 - 4 * q^8 + 24 * q^9	\( 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9} - 8 q^{16} + 4 q^{18} + 4 q^{24} + 24 q^{25} - 40 q^{26} + 32 q^{29} + 36 q^{32} - 22 q^{34} - 22 q^{36} - 110 q^{38} - 22 q^{40} - 16 q^{41} - 110 q^{42} - 154 q^{44} - 88 q^{46} - 56 q^{48} - 40 q^{49} - 142 q^{50} - 70 q^{52} - 18 q^{54} - 110 q^{56} - 46 q^{58} - 22 q^{60} + 40 q^{62} - 48 q^{64} - 16 q^{69} - 72 q^{70} + 4 q^{72} + 22 q^{74} + 110 q^{76} - 192 q^{77} + 198 q^{80} - 24 q^{81} + 172 q^{82} - 200 q^{85} + 220 q^{86} + 176 q^{88} - 88 q^{89} + 154 q^{92} - 16 q^{93} + 126 q^{94} - 44 q^{96} - 88 q^{97} + 228 q^{98}+O(q^{100}) \) 240 * q - 4 * q^2 - 4 * q^6 - 4 * q^8 + 24 * q^9 - 8 * q^16 + 4 * q^18 + 4 * q^24 + 24 * q^25 - 40 * q^26 + 32 * q^29 + 36 * q^32 - 22 * q^34 - 22 * q^36 - 110 * q^38 - 22 * q^40 - 16 * q^41 - 110 * q^42 - 154 * q^44 - 88 * q^46 - 56 * q^48 - 40 * q^49 - 142 * q^50 - 70 * q^52 - 18 * q^54 - 110 * q^56 - 46 * q^58 - 22 * q^60 + 40 * q^62 - 48 * q^64 - 16 * q^69 - 72 * q^70 + 4 * q^72 + 22 * q^74 + 110 * q^76 - 192 * q^77 + 198 * q^80 - 24 * q^81 + 172 * q^82 - 200 * q^85 + 220 * q^86 + 176 * q^88 - 88 * q^89 + 154 * q^92 - 16 * q^93 + 126 * q^94 - 44 * q^96 - 88 * q^97 + 228 * q^98

Introduction

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