LMFDB - Embedded newform 276.2.m.a.199.18

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			199.18
Character	$\chi$	$=$	276.199
Dual form			276.2.m.a.43.18

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.811884 - 1.15795i) q^{2} +(0.909632 - 0.415415i) q^{3} +(-0.681689 - 1.88024i) q^{4} +(-0.332018 + 0.287695i) q^{5} +(0.257486 - 1.39058i) q^{6} +(0.773979 + 0.497406i) q^{7} +(-2.73067 - 0.737175i) q^{8} +(0.654861 - 0.755750i) q^{9} +O(q^{10})$	\(q+(0.811884 - 1.15795i) q^{2} +(0.909632 - 0.415415i) q^{3} +(-0.681689 - 1.88024i) q^{4} +(-0.332018 + 0.287695i) q^{5} +(0.257486 - 1.39058i) q^{6} +(0.773979 + 0.497406i) q^{7} +(-2.73067 - 0.737175i) q^{8} +(0.654861 - 0.755750i) q^{9} +(0.0635761 + 0.618034i) q^{10} +(-0.807599 - 5.61697i) q^{11} +(-1.40117 - 1.42714i) q^{12} +(3.81918 - 2.45443i) q^{13} +(1.20435 - 0.492392i) q^{14} +(-0.182501 + 0.399622i) q^{15} +(-3.07060 + 2.56348i) q^{16} +(2.20459 + 7.50816i) q^{17} +(-0.343448 - 1.37188i) q^{18} +(-2.38604 - 0.700606i) q^{19} +(0.767268 + 0.428154i) q^{20} +(0.910666 + 0.130934i) q^{21} +(-7.15984 - 3.62517i) q^{22} +(-2.80436 + 3.89044i) q^{23} +(-2.79014 + 0.463804i) q^{24} +(-0.684107 + 4.75807i) q^{25} +(0.258618 - 6.41512i) q^{26} +(0.281733 - 0.959493i) q^{27} +(0.407630 - 1.79434i) q^{28} +(-1.55755 + 0.457338i) q^{29} +(0.314571 + 0.535773i) q^{30} +(5.41958 + 2.47504i) q^{31} +(0.475403 + 5.63684i) q^{32} +(-3.06799 - 4.77389i) q^{33} +(10.4839 + 3.54295i) q^{34} +(-0.400076 + 0.0575222i) q^{35} +(-1.86740 - 0.716109i) q^{36} +(7.46304 + 6.46676i) q^{37} +(-2.74846 + 2.19410i) q^{38} +(2.45443 - 3.81918i) q^{39} +(1.11871 - 0.540845i) q^{40} +(-3.41461 - 3.94067i) q^{41} +(0.890970 - 0.948201i) q^{42} +(2.04094 + 4.46903i) q^{43} +(-10.0107 + 5.34751i) q^{44} +0.439322i q^{45} +(2.22811 + 6.40590i) q^{46} -8.06732i q^{47} +(-1.72821 + 3.60739i) q^{48} +(-2.55627 - 5.59746i) q^{49} +(4.95418 + 4.65516i) q^{50} +(5.12437 + 5.91384i) q^{51} +(-7.21841 - 5.50780i) q^{52} +(-3.20320 + 4.98427i) q^{53} +(-0.882309 - 1.10523i) q^{54} +(1.88411 + 1.63259i) q^{55} +(-1.74681 - 1.92881i) q^{56} +(-2.46146 + 0.353905i) q^{57} +(-0.734975 + 2.17487i) q^{58} +(-4.00703 - 6.23506i) q^{59} +(0.875793 + 0.0707281i) q^{60} +(4.87919 + 2.22825i) q^{61} +(7.26603 - 4.26615i) q^{62} +(0.882763 - 0.259203i) q^{63} +(6.91314 + 4.02597i) q^{64} +(-0.561905 + 1.91367i) q^{65} +(-8.01877 - 0.323267i) q^{66} +(0.144734 - 1.00665i) q^{67} +(12.6143 - 9.26339i) q^{68} +(-0.934790 + 4.70385i) q^{69} +(-0.258207 + 0.509969i) q^{70} +(1.94337 + 0.279414i) q^{71} +(-2.34533 + 1.58096i) q^{72} +(-3.25999 - 0.957219i) q^{73} +(13.5473 - 3.39156i) q^{74} +(1.35429 + 4.61228i) q^{75} +(0.309233 + 4.96393i) q^{76} +(2.16885 - 4.74912i) q^{77} +(-2.42969 - 5.94284i) q^{78} +(-3.01759 + 1.93929i) q^{79} +(0.281994 - 1.73452i) q^{80} +(-0.142315 - 0.989821i) q^{81} +(-7.33535 + 0.754575i) q^{82} +(-7.94028 + 9.16357i) q^{83} +(-0.374604 - 1.80153i) q^{84} +(-2.89202 - 1.85859i) q^{85} +(6.83191 + 1.26503i) q^{86} +(-1.22681 + 1.06304i) q^{87} +(-1.93541 + 15.9335i) q^{88} +(-13.8259 + 6.31408i) q^{89} +(0.508713 + 0.356679i) q^{90} +4.17681 q^{91} +(9.22667 + 2.62080i) q^{92} +5.95799 q^{93} +(-9.34154 - 6.54973i) q^{94} +(0.993769 - 0.453839i) q^{95} +(2.77407 + 4.92996i) q^{96} +(3.65793 - 3.16961i) q^{97} +(-8.55697 - 1.58445i) q^{98} +(-4.77389 - 3.06799i) 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 $\left(\mathbb{Z}/276\mathbb{Z}\right)^\times$.

$n$	$97$	$139$	$185$
$\chi(n)$	$e\left(\frac{17}{22}\right)$	$-1$	$1$

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 $

$2$	0.811884	−	1.15795i	0.574089	−	0.818793i
$2$	0.811884	−	1.15795i	0.574089	−	0.818793i
$3$	0.909632	−	0.415415i	0.525176	−	0.239840i
$3$	0.909632	−	0.415415i	0.525176	−	0.239840i
$4$	−0.681689	−	1.88024i	−0.340844	−	0.940120i
$5$	−0.332018	+	0.287695i	−0.148483	+	0.128661i	−0.725935	−	0.687764i	$-0.758593\pi$
$5$	−0.332018	+	0.287695i	−0.148483	+	0.128661i	0.577452	+	0.816425i	$0.304047\pi$
$6$	0.257486	−	1.39058i	0.105118	−	0.567700i
$7$	0.773979	+	0.497406i	0.292537	+	0.188002i	0.678674	−	0.734439i	$-0.262555\pi$
$7$	0.773979	+	0.497406i	0.292537	+	0.188002i	−0.386138	+	0.922441i	$0.626191\pi$
$8$	−2.73067	−	0.737175i	−0.965439	−	0.260631i
$9$	0.654861	−	0.755750i	0.218287	−	0.251917i
$10$	0.0635761	+	0.618034i	0.0201045	+	0.195440i
$11$	−0.807599	−	5.61697i	−0.243500	−	1.69358i	−0.634285	−	0.773099i	$-0.718706\pi$
$11$	−0.807599	−	5.61697i	−0.243500	−	1.69358i	0.390785	−	0.920482i	$-0.372204\pi$
$12$	−1.40117	−	1.42714i	−0.404482	−	0.411980i
$13$	3.81918	−	2.45443i	1.05925	−	0.680738i	0.109575	−	0.993979i	$-0.465051\pi$
$13$	3.81918	−	2.45443i	1.05925	−	0.680738i	0.949674	+	0.313241i	$0.101415\pi$
$14$	1.20435	−	0.492392i	0.321877	−	0.131597i
$15$	−0.182501	+	0.399622i	−0.0471216	+	0.103182i
$16$	−3.07060	+	2.56348i	−0.767650	+	0.640869i
$17$	2.20459	+	7.50816i	0.534693	+	1.82100i	0.570035	+	0.821620i	$0.306930\pi$
$17$	2.20459	+	7.50816i	0.534693	+	1.82100i	−0.0353427	+	0.999375i	$0.511252\pi$
$18$	−0.343448	−	1.37188i	−0.0809515	−	0.323354i
$19$	−2.38604	−	0.700606i	−0.547396	−	0.160730i	−0.00367070	−	0.999993i	$-0.501168\pi$
$19$	−2.38604	−	0.700606i	−0.547396	−	0.160730i	−0.543725	+	0.839263i	$0.682987\pi$
$20$	0.767268	+	0.428154i	0.171566	+	0.0957382i
$21$	0.910666	+	0.130934i	0.198724	+	0.0285721i
$22$	−7.15984	−	3.62517i	−1.52648	−	0.772889i
$23$	−2.80436	+	3.89044i	−0.584750	+	0.811213i
$23$	−2.80436	+	3.89044i	−0.584750	+	0.811213i
$24$	−2.79014	+	0.463804i	−0.569535	+	0.0946736i
$25$	−0.684107	+	4.75807i	−0.136821	+	0.951614i
$26$	0.258618	−	6.41512i	0.0507192	−	1.25811i
$27$	0.281733	−	0.959493i	0.0542195	−	0.184655i
$28$	0.407630	−	1.79434i	0.0770348	−	0.339099i
$29$	−1.55755	+	0.457338i	−0.289230	+	0.0849255i	−0.423129	−	0.906069i	$-0.639068\pi$
$29$	−1.55755	+	0.457338i	−0.289230	+	0.0849255i	0.133899	+	0.990995i	$0.457250\pi$
$30$	0.314571	+	0.535773i	0.0574326	+	0.0978183i
$31$	5.41958	+	2.47504i	0.973385	+	0.444530i	0.837645	−	0.546215i	$-0.183932\pi$
$31$	5.41958	+	2.47504i	0.973385	+	0.444530i	0.135739	+	0.990745i	$0.456659\pi$
$32$	0.475403	+	5.63684i	0.0840402	+	0.996462i
$33$	−3.06799	−	4.77389i	−0.534069	−	0.831028i
$34$	10.4839	+	3.54295i	1.79798	+	0.607610i
$35$	−0.400076	+	0.0575222i	−0.0676252	+	0.00972303i
$36$	−1.86740	−	0.716109i	−0.311234	−	0.119351i
$37$	7.46304	+	6.46676i	1.22692	+	1.06313i	0.995926	+	0.0901726i	$0.0287419\pi$
$37$	7.46304	+	6.46676i	1.22692	+	1.06313i	0.230990	+	0.972956i	$0.425804\pi$
$38$	−2.74846	+	2.19410i	−0.445858	+	0.355931i
$39$	2.45443	−	3.81918i	0.393024	−	0.611557i
$40$	1.11871	−	0.540845i	0.176884	−	0.0855152i
$41$	−3.41461	−	3.94067i	−0.533272	−	0.615429i	0.423632	−	0.905835i	$-0.360755\pi$
$41$	−3.41461	−	3.94067i	−0.533272	−	0.615429i	−0.956904	+	0.290406i	$0.906210\pi$
$42$	0.890970	−	0.948201i	0.137480	−	0.146311i
$43$	2.04094	+	4.46903i	0.311240	+	0.681521i	0.999014	−	0.0444046i	$-0.0141391\pi$
$43$	2.04094	+	4.46903i	0.311240	+	0.681521i	−0.687774	+	0.725925i	$0.741412\pi$
$44$	−10.0107	+	5.34751i	−1.50917	+	0.806167i
$45$			0.439322i			0.0654903i
$46$	2.22811	+	6.40590i	0.328518	+	0.944498i
$47$		−	8.06732i		−	1.17674i	−0.808592	−	0.588370i	$-0.799770\pi$
$47$		−	8.06732i		−	1.17674i	0.808592	−	0.588370i	$-0.200230\pi$
$48$	−1.72821	+	3.60739i	−0.249446	+	0.520682i
$49$	−2.55627	−	5.59746i	−0.365182	−	0.799637i
$50$	4.95418	+	4.65516i	0.700627	+	0.658339i
$51$	5.12437	+	5.91384i	0.717555	+	0.828103i
$52$	−7.21841	−	5.50780i	−1.00101	−	0.763795i
$53$	−3.20320	+	4.98427i	−0.439993	+	0.684643i	−0.988452	−	0.151535i	$-0.951578\pi$
$53$	−3.20320	+	4.98427i	−0.439993	+	0.684643i	0.548459	+	0.836178i	$0.315215\pi$
$54$	−0.882309	−	1.10523i	−0.120067	−	0.150403i
$55$	1.88411	+	1.63259i	0.254054	+	0.220139i
$56$	−1.74681	−	1.92881i	−0.233427	−	0.257748i
$57$	−2.46146	+	0.353905i	−0.326029	+	0.0468759i
$58$	−0.734975	+	2.17487i	−0.0965070	+	0.285574i
$59$	−4.00703	−	6.23506i	−0.521671	−	0.811735i	0.476036	−	0.879426i	$-0.342073\pi$
$59$	−4.00703	−	6.23506i	−0.521671	−	0.811735i	−0.997706	+	0.0676906i	$0.978437\pi$
$60$	0.875793	+	0.0707281i	0.113064	+	0.00913095i
$61$	4.87919	+	2.22825i	0.624716	+	0.285298i	0.702513	−	0.711671i	$-0.252061\pi$
$61$	4.87919	+	2.22825i	0.624716	+	0.285298i	−0.0777970	+	0.996969i	$0.524789\pi$
$62$	7.26603	−	4.26615i	0.922787	−	0.541801i
$63$	0.882763	−	0.259203i	0.111218	−	0.0326565i
$64$	6.91314	+	4.02597i	0.864143	+	0.503246i
$65$	−0.561905	+	1.91367i	−0.0696957	+	0.237362i
$66$	−8.01877	−	0.323267i	−0.987043	−	0.0397914i
$67$	0.144734	−	1.00665i	0.0176821	−	0.122982i	−0.979069	−	0.203531i	$-0.934758\pi$
$67$	0.144734	−	1.00665i	0.0176821	−	0.122982i	0.996751	+	0.0805490i	$0.0256674\pi$
$68$	12.6143	−	9.26339i	1.52971	−	1.12335i
$69$	−0.934790	+	4.70385i	−0.112536	+	0.566277i
$70$	−0.258207	+	0.509969i	−0.0308617	+	0.0609529i
$71$	1.94337	+	0.279414i	0.230635	+	0.0331603i	0.256663	−	0.966501i	$-0.417377\pi$
$71$	1.94337	+	0.279414i	0.230635	+	0.0331603i	−0.0260281	+	0.999661i	$0.508286\pi$
$72$	−2.34533	+	1.58096i	−0.276400	+	0.186318i
$73$	−3.25999	−	0.957219i	−0.381553	−	0.112034i	0.0853311	−	0.996353i	$-0.472805\pi$
$73$	−3.25999	−	0.957219i	−0.381553	−	0.112034i	−0.466884	+	0.884319i	$0.654623\pi$
$74$	13.5473	−	3.39156i	1.57484	−	0.394260i
$75$	1.35429	+	4.61228i	0.156380	+	0.532580i
$76$	0.309233	+	4.96393i	0.0354715	+	0.569402i
$77$	2.16885	−	4.74912i	0.247164	−	0.541213i
$78$	−2.42969	−	5.94284i	−0.275108	−	0.672894i
$79$	−3.01759	+	1.93929i	−0.339506	+	0.218187i	−0.699273	−	0.714855i	$-0.746493\pi$
$79$	−3.01759	+	1.93929i	−0.339506	+	0.218187i	0.359767	+	0.933042i	$0.382856\pi$
$80$	0.281994	−	1.73452i	0.0315279	−	0.193925i
$81$	−0.142315	−	0.989821i	−0.0158128	−	0.109980i
$82$	−7.33535	+	0.754575i	−0.810054	+	0.0833288i
$83$	−7.94028	+	9.16357i	−0.871559	+	1.00583i	0.128341	+	0.991730i	$0.459035\pi$
$83$	−7.94028	+	9.16357i	−0.871559	+	1.00583i	−0.999901	+	0.0141029i	$0.995511\pi$
$84$	−0.374604	−	1.80153i	−0.0408726	−	0.196563i
$85$	−2.89202	−	1.85859i	−0.313684	−	0.201592i
$86$	6.83191	+	1.26503i	0.736704	+	0.136412i
$87$	−1.22681	+	1.06304i	−0.131528	+	0.113970i
$88$	−1.93541	+	15.9335i	−0.206315	+	1.69851i
$89$	−13.8259	+	6.31408i	−1.46554	+	0.669291i	−0.978906	−	0.204313i	$-0.934504\pi$
$89$	−13.8259	+	6.31408i	−1.46554	+	0.669291i	−0.486638	+	0.873604i	$0.661777\pi$
$90$	0.508713	+	0.356679i	0.0536230	+	0.0375972i
$91$	4.17681			0.437849
$92$	9.22667	+	2.62080i	0.961947	+	0.273238i
$93$	5.95799			0.617815
$94$	−9.34154	−	6.54973i	−0.963506	−	0.675553i
$95$	0.993769	−	0.453839i	0.101959	−	0.0465629i
$96$	2.77407	+	4.92996i	0.283127	+	0.503162i
$97$	3.65793	−	3.16961i	0.371406	−	0.321825i	−0.449080	−	0.893491i	$-0.648248\pi$
$97$	3.65793	−	3.16961i	0.371406	−	0.321825i	0.820486	+	0.571666i	$0.193703\pi$
$98$	−8.55697	−	1.58445i	−0.864384	−	0.160054i
$99$	−4.77389	−	3.06799i	−0.479794	−	0.308345i
$100$	9.41265	−	1.95724i	0.941265	−	0.195724i
$101$	11.6958	−	13.4977i	1.16378	−	1.34307i	0.235194	−	0.971949i	$-0.424428\pi$
$101$	11.6958	−	13.4977i	1.16378	−	1.34307i	0.928584	−	0.371122i	$-0.121027\pi$
$102$	11.0083	−	1.13241i	1.08999	−	0.112125i
$103$	0.287165	+	1.99727i	0.0282952	+	0.196797i	0.999066	−	0.0432112i	$-0.0137589\pi$
$103$	0.287165	+	1.99727i	0.0282952	+	0.196797i	−0.970771	+	0.240009i	$0.922850\pi$
$104$	−12.2383	+	3.88686i	−1.20006	+	0.381138i
$105$	−0.340026	+	0.218522i	−0.0331832	+	0.0213255i
$106$	3.17091	+	7.75579i	0.307986	+	0.753309i
$107$	0.968469	−	2.12065i	0.0936254	−	0.205011i	−0.857025	−	0.515274i	$-0.827690\pi$
$107$	0.968469	−	2.12065i	0.0936254	−	0.205011i	0.950651	+	0.310263i	$0.100417\pi$
$108$	−1.99613	+	0.124351i	−0.192078	+	0.0119657i
$109$	−3.83869	−	13.0734i	−0.367680	−	1.25220i	−0.910905	−	0.412616i	$-0.864615\pi$
$109$	−3.83869	−	13.0734i	−0.367680	−	1.25220i	0.543225	−	0.839587i	$-0.317203\pi$
$110$	3.42014	−	0.856229i	0.326097	−	0.0816382i
$111$	9.47501	+	2.78211i	0.899328	+	0.264067i
$112$	−3.65167	+	0.456742i	−0.345050	+	0.0431581i
$113$	1.31802	+	0.189503i	0.123989	+	0.0178269i	0.204030	−	0.978965i	$-0.434596\pi$
$113$	1.31802	+	0.189503i	0.123989	+	0.0178269i	−0.0800410	+	0.996792i	$0.525505\pi$
$114$	−1.58862	+	3.13758i	−0.148788	+	0.293861i
$115$	−0.188163	−	2.09850i	−0.0175463	−	0.195686i
$116$	1.92167	+	2.61680i	0.178422	+	0.242964i
$117$	0.646090	−	4.49365i	0.0597310	−	0.415438i
$118$	−10.4731	−	0.422211i	−0.964129	−	0.0388677i
$119$	−2.02829	+	6.90773i	−0.185933	+	0.633231i
$120$	0.792942	−	0.956700i	0.0723854	−	0.0873344i
$121$	−20.3437	+	5.97346i	−1.84943	+	0.543042i
$122$	6.54153	−	3.84077i	0.592242	−	0.347727i
$123$	−4.74305	−	2.16608i	−0.427666	−	0.195309i
$124$	0.959198	−	11.8773i	0.0861385	−	1.06661i
$125$	−2.32931	−	3.62448i	−0.208340	−	0.324184i
$126$	0.416558	−	1.23264i	0.0371099	−	0.109812i
$127$	−2.05845	+	0.295961i	−0.182658	+	0.0262623i	−0.233037	−	0.972468i	$-0.574866\pi$
$127$	−2.05845	+	0.295961i	−0.182658	+	0.0262623i	0.0503787	+	0.998730i	$0.483957\pi$
$128$	10.2745	−	4.73644i	0.908149	−	0.418647i
$129$	3.71300	+	3.21734i	0.326912	+	0.283271i
$130$	1.75973	+	2.20434i	0.154339	+	0.193333i
$131$	−7.76142	+	12.0770i	−0.678119	+	1.05517i	0.316196	+	0.948694i	$0.397594\pi$
$131$	−7.76142	+	12.0770i	−0.678119	+	1.05517i	−0.994315	+	0.106480i	$0.966042\pi$
$132$	−6.88464	+	9.02287i	−0.599231	+	0.785340i
$133$	−1.49826	−	1.72909i	−0.129916	−	0.149931i
$134$	−1.04814	−	0.984877i	−0.0905456	−	0.0850805i
$135$	0.182501	+	0.399622i	0.0157072	+	0.0343940i
$136$	−0.485194	−	22.1275i	−0.0416051	−	1.89742i
$137$		−	10.4332i		−	0.891369i	−0.895190	−	0.445685i	$-0.852960\pi$
$137$		−	10.4332i		−	0.891369i	0.895190	−	0.445685i	$-0.147040\pi$
$138$	4.68787	+	4.90142i	0.399058	+	0.417236i
$139$			7.74257i			0.656717i	0.944553	+	0.328358i	$0.106495\pi$
$139$			7.74257i			0.656717i	−0.944553	+	0.328358i	$0.893505\pi$
$140$	0.380883	+	0.713026i	0.0321905	+	0.0602617i
$141$	−3.35129	−	7.33829i	−0.282229	−	0.617996i
$142$	1.90133	−	2.02347i	0.159556	−	0.169806i
$143$	−16.8709	−	19.4700i	−1.41081	−	1.62816i
$144$	−0.0734690	+	3.99933i	−0.00612241	+	0.333277i
$145$	0.385560	−	0.599943i	0.0320190	−	0.0498225i
$146$	−3.75514	+	2.99775i	−0.310778	+	0.248095i
$147$	−4.65054	−	4.02971i	−0.383570	−	0.332365i
$148$	7.07159	−	18.4406i	0.581281	−	1.51581i
$149$	7.54331	−	1.08456i	0.617972	−	0.0888510i	0.173783	−	0.984784i	$-0.444401\pi$
$149$	7.54331	−	1.08456i	0.617972	−	0.0888510i	0.444189	+	0.895933i	$0.353492\pi$
$150$	6.44030	+	2.17644i	0.525849	+	0.177706i
$151$	−5.79792	−	9.02174i	−0.471828	−	0.734179i	0.521023	−	0.853543i	$-0.325551\pi$
$151$	−5.79792	−	9.02174i	−0.471828	−	0.734179i	−0.992851	+	0.119364i	$0.961914\pi$
$152$	5.99903	+	3.67206i	0.486586	+	0.297843i
$153$	7.11799	+	3.25068i	0.575455	+	0.262802i
$154$	−3.73838	−	6.36716i	−0.301248	−	0.513080i
$155$	−2.51145	+	0.737428i	−0.201725	+	0.0592317i
$156$	−8.85413	−	2.01144i	−0.708897	−	0.161044i
$157$	1.72956	−	5.89034i	0.138034	−	0.470100i	−0.861240	−	0.508198i	$-0.830312\pi$
$157$	1.72956	−	5.89034i	0.138034	−	0.470100i	0.999274	+	0.0380980i	$0.0121299\pi$
$158$	−0.204338	+	5.06869i	−0.0162563	+	0.403244i
$159$	−0.843189	+	5.86451i	−0.0668693	+	0.465086i
$160$	−1.77953	−	1.73476i	−0.140684	−	0.137145i
$161$	−4.10565	+	1.61621i	−0.323570	+	0.127375i
$162$	−1.26171	−	0.638827i	−0.0991289	−	0.0501910i
$163$	−19.5395	−	2.80936i	−1.53045	−	0.220046i	−0.674958	−	0.737856i	$-0.735838\pi$
$163$	−19.5395	−	2.80936i	−1.53045	−	0.220046i	−0.855496	+	0.517810i	$0.826748\pi$
$164$	−5.08170	+	9.10659i	−0.396814	+	0.711105i
$165$	2.39205	+	0.702370i	0.186221	+	0.0546794i
$166$	4.16436	+	16.6342i	0.323217	+	1.29106i
$167$	−2.72093	−	9.26663i	−0.210552	−	0.717073i	−0.995264	−	0.0972126i	$-0.969007\pi$
$167$	−2.72093	−	9.26663i	−0.210552	−	0.717073i	0.784712	−	0.619861i	$-0.212811\pi$
$168$	−2.39021	−	1.02886i	−0.184409	−	0.0793782i
$169$	3.16145	−	6.92262i	0.243189	−	0.532509i
$170$	−4.50014	+	1.83985i	−0.345145	+	0.141110i
$171$	−2.09201	+	1.34445i	−0.159980	+	0.102813i
$172$	7.01156	−	6.88394i	0.534627	−	0.524895i
$173$	1.08633	+	7.55556i	0.0825918	+	0.574439i	0.988530	+	0.151028i	$0.0482583\pi$
$173$	1.08633	+	7.55556i	0.0825918	+	0.574439i	−0.905938	+	0.423411i	$0.860833\pi$
$174$	0.234915	+	2.28365i	0.0178088	+	0.173123i
$175$	−2.89618	+	3.34237i	−0.218930	+	0.252659i
$176$	16.8788	+	15.1772i	1.27229	+	1.14403i
$177$	−6.23506	−	4.00703i	−0.468656	−	0.301187i
$178$	−3.91365	+	21.1360i	−0.293341	+	1.58421i
$179$	4.17353	−	3.61639i	0.311945	−	0.270301i	−0.484790	−	0.874630i	$-0.661104\pi$
$179$	4.17353	−	3.61639i	0.311945	−	0.270301i	0.796735	+	0.604329i	$0.206559\pi$
$180$	0.826031	−	0.299481i	0.0615687	−	0.0223220i
$181$	−3.52838	+	1.61136i	−0.262263	+	0.119771i	−0.542207	−	0.840245i	$-0.682411\pi$
$181$	−3.52838	+	1.61136i	−0.262263	+	0.119771i	0.279945	+	0.960016i	$0.409684\pi$
$182$	3.39109	−	4.83653i	0.251364	−	0.358508i
$183$	5.36391			0.396512
$184$	10.5257	−	8.55622i	0.775968	−	0.630773i
$185$	−4.33831			−0.318959
$186$	4.83719	−	6.89904i	0.354680	−	0.505862i
$187$	40.3927	−	18.4467i	2.95381	−	1.34896i
$188$	−15.1685	+	5.49940i	−1.10628	+	0.401085i
$189$	0.695313	−	0.602492i	0.0505766	−	0.0438248i
$190$	0.281303	−	1.51920i	0.0204079	−	0.110214i
$191$	14.3110	+	9.19712i	1.03551	+	0.665480i	0.943872	−	0.330313i	$-0.107154\pi$
$191$	14.3110	+	9.19712i	1.03551	+	0.665480i	0.0916355	+	0.995793i	$0.470791\pi$
$192$	7.96087	+	0.790327i	0.574526	+	0.0570369i
$193$	−1.34856	+	1.55632i	−0.0970713	+	0.112026i	−0.802207	−	0.597046i	$-0.796341\pi$
$193$	−1.34856	+	1.55632i	−0.0970713	+	0.112026i	0.705135	+	0.709073i	$0.250886\pi$
$194$	−0.700434	−	6.80904i	−0.0502883	−	0.488861i
$195$	0.283842	+	1.97416i	0.0203263	+	0.141373i
$196$	−8.78198	+	8.62213i	−0.627284	+	0.615867i
$197$	−11.7320	+	7.53971i	−0.835872	+	0.537182i	−0.887139	−	0.461503i	$-0.847310\pi$
$197$	−11.7320	+	7.53971i	−0.835872	+	0.537182i	0.0512668	+	0.998685i	$0.483674\pi$
$198$	−7.42842	+	3.03706i	−0.527915	+	0.215835i
$199$	−5.72959	+	12.5461i	−0.406160	+	0.889367i	0.590448	+	0.807076i	$0.298951\pi$
$199$	−5.72959	+	12.5461i	−0.406160	+	0.889367i	−0.996608	+	0.0822911i	$0.973776\pi$
$200$	5.37560	−	12.4884i	0.380113	−	0.883064i
$201$	−0.286522	−	0.975805i	−0.0202097	−	0.0688280i
$202$	−6.13399	−	24.5017i	−0.431586	−	1.72393i
$203$	−1.43299	−	0.420765i	−0.100576	−	0.0295319i
$204$	7.62621	−	13.6664i	0.533941	−	0.956842i
$205$	2.26742	+	0.326006i	0.158363	+	0.0227692i
$206$	2.54588	+	1.28903i	0.177380	+	0.0898112i
$207$	1.10373	+	4.66709i	0.0767148	+	0.324386i
$208$	−5.43527	+	17.3270i	−0.376868	+	1.20141i
$209$	−2.00832	+	13.9681i	−0.138918	+	0.966197i
$210$	−0.0230251	+	0.571147i	−0.00158888	+	0.0394129i
$211$	8.15819	−	27.7842i	0.561633	−	1.91275i	0.203504	−	0.979074i	$-0.434767\pi$
$211$	8.15819	−	27.7842i	0.561633	−	1.91275i	0.358129	−	0.933672i	$-0.383415\pi$
$212$	11.5552	+	2.62505i	0.793615	+	0.180289i
$213$	1.88382	−	0.553140i	0.129077	−	0.0379005i
$214$	−1.66932	−	2.84316i	−0.114112	−	0.194354i
$215$	−1.96334	−	0.896629i	−0.133899	−	0.0611496i
$216$	−1.47663	+	2.41237i	−0.100472	+	0.164141i
$217$	2.96354	+	4.61136i	0.201178	+	0.313039i
$218$	−18.2549	−	6.16907i	−1.23638	−	0.417822i
$219$	−3.36303	+	0.483531i	−0.227253	+	0.0326740i
$220$	1.78529	−	4.65550i	0.120364	−	0.313874i
$221$	26.8480	+	23.2639i	1.80599	+	1.56490i
$222$	10.9142	−	8.71282i	0.732510	−	0.584766i
$223$	2.57379	−	4.00489i	0.172354	−	0.268187i	−0.744321	−	0.667822i	$-0.767227\pi$
$223$	2.57379	−	4.00489i	0.172354	−	0.268187i	0.916674	+	0.399635i	$0.130863\pi$
$224$	−2.43585	+	4.59927i	−0.162752	+	0.307301i
$225$	3.14791	+	3.63289i	0.209861	+	0.242192i
$226$	1.28951	−	1.37234i	0.0857771	−	0.0912870i
$227$	0.166974	+	0.365623i	0.0110825	+	0.0242672i	0.915092	−	0.403244i	$-0.132118\pi$
$227$	0.166974	+	0.365623i	0.0110825	+	0.0242672i	−0.904010	+	0.427512i	$0.859390\pi$
$228$	2.34338	+	4.38689i	0.155194	+	0.290529i
$229$		−	14.5841i		−	0.963742i	−0.876242	−	0.481871i	$-0.839957\pi$
$229$		−	14.5841i		−	0.963742i	0.876242	−	0.481871i	$-0.160043\pi$
$230$	−2.58272	−	1.48585i	−0.170299	−	0.0979743i
$231$		−	5.22093i		−	0.343512i
$232$	4.59029	−	0.100652i	0.301368	−	0.00660815i
$233$	−5.82901	−	12.7637i	−0.381871	−	0.836181i	−0.998791	−	0.0491549i	$-0.984347\pi$
$233$	−5.82901	−	12.7637i	−0.381871	−	0.836181i	0.616920	−	0.787026i	$-0.288380\pi$
$234$	−4.67887	−	4.39646i	−0.305867	−	0.287406i
$235$	2.32093	+	2.67849i	0.151401	+	0.174726i
$236$	−8.99185	+	11.7845i	−0.585320	+	0.767108i
$237$	−1.93929	+	3.01759i	−0.125970	+	0.196014i
$238$	6.35206	+	7.95694i	0.411743	+	0.515772i
$239$	22.3648	+	19.3792i	1.44666	+	1.25354i	0.913075	+	0.407792i	$0.133701\pi$
$239$	22.3648	+	19.3792i	1.44666	+	1.25354i	0.533586	+	0.845746i	$0.320844\pi$
$240$	−0.464033	−	1.69492i	−0.0299532	−	0.109406i
$241$	−5.48906	+	0.789208i	−0.353582	+	0.0508374i	−0.316817	−	0.948487i	$-0.602614\pi$
$241$	−5.48906	+	0.789208i	−0.353582	+	0.0508374i	−0.0367644	+	0.999324i	$0.511705\pi$
$242$	−9.59980	+	28.4068i	−0.617098	+	1.82606i
$243$	−0.540641	−	0.841254i	−0.0346821	−	0.0539664i
$244$	0.863555	−	10.6930i	0.0552835	−	0.684550i
$245$	2.45909	+	1.12303i	0.157105	+	0.0717476i
$246$	−6.35901	+	3.73360i	−0.405436	+	0.238046i
$247$	−10.8323	+	3.18065i	−0.689243	+	0.202380i
$248$	−12.9746	−	10.7537i	−0.823885	−	0.682860i
$249$	−3.41605	+	11.6340i	−0.216483	+	0.737274i
$250$	−6.08810	−	0.245434i	−0.385045	−	0.0155226i
$251$	−1.76946	+	12.3069i	−0.111688	+	0.776804i	0.854590	+	0.519303i	$0.173808\pi$
$251$	−1.76946	+	12.3069i	−0.111688	+	0.776804i	−0.966278	+	0.257501i	$0.917101\pi$
$252$	−1.08913	−	1.48311i	−0.0686089	−	0.0934271i
$253$	24.1173	+	12.6101i	1.51624	+	0.792791i
$254$	−1.32852	+	2.62387i	−0.0833586	+	0.164636i
$255$	−3.40276	−	0.489243i	−0.213089	−	0.0306376i
$256$	2.85717	−	15.7428i	0.178573	−	0.983927i
$257$	3.62010	+	1.06296i	0.225816	+	0.0663055i	0.392683	−	0.919674i	$-0.371547\pi$
$257$	3.62010	+	1.06296i	0.225816	+	0.0663055i	−0.166867	+	0.985979i	$0.553365\pi$
$258$	6.74004	−	1.68736i	0.419616	−	0.105051i
$259$	2.55963	+	8.71730i	0.159048	+	0.541667i
$260$	3.98121	−	0.248014i	0.246904	−	0.0153812i
$261$	−0.674345	+	1.47661i	−0.0417409	+	0.0913998i
$262$	7.68318	+	18.7925i	0.474668	+	1.16100i
$263$	9.34368	−	6.00482i	0.576156	−	0.370273i	−0.219876	−	0.975528i	$-0.570565\pi$
$263$	9.34368	−	6.00482i	0.576156	−	0.370273i	0.796032	+	0.605255i	$0.206929\pi$
$264$	4.85849	+	15.2976i	0.299019	+	0.941501i
$265$	−0.370432	−	2.57641i	−0.0227554	−	0.158268i
$266$	−3.21861	+	0.331092i	−0.197345	+	0.0203006i
$267$	−9.95352	+	11.4870i	−0.609146	+	0.702992i
$268$	−1.99141	+	0.414087i	−0.121644	+	0.0252944i
$269$	8.92657	+	5.73676i	0.544263	+	0.349776i	0.783704	−	0.621134i	$-0.213328\pi$
$269$	8.92657	+	5.73676i	0.544263	+	0.349776i	−0.239441	+	0.970911i	$0.576964\pi$
$270$	0.610911	+	0.113120i	0.0371789	+	0.00688424i
$271$	−16.1793	+	14.0195i	−0.982825	+	0.851622i	−0.988934	−	0.148359i	$-0.952601\pi$
$271$	−16.1793	+	14.0195i	−0.982825	+	0.851622i	0.00610893	+	0.999981i	$0.498055\pi$
$272$	−26.0164	−	17.4031i	−1.57748	−	1.05522i
$273$	3.79936	−	1.73511i	0.229948	−	0.105014i
$274$	−12.0811	−	8.47056i	−0.729847	−	0.511725i
$275$	27.2784			1.64495
$276$	9.48159	−	1.44893i	0.570725	−	0.0872154i
$277$	−8.07178			−0.484986			−0.242493	−	0.970153i	$-0.577965\pi$
$277$	−8.07178			−0.484986			−0.242493	+	0.970153i	$0.577965\pi$
$278$	8.96550	+	6.28607i	0.537715	+	0.377014i
$279$	5.41958	−	2.47504i	0.324462	−	0.148177i
$280$	1.13488	+	0.137852i	0.0678221	+	0.00823822i
$281$	−1.59004	+	1.37778i	−0.0948538	+	0.0821912i	−0.700997	−	0.713164i	$-0.747261\pi$
$281$	−1.59004	+	1.37778i	−0.0948538	+	0.0821912i	0.606143	+	0.795356i	$0.292716\pi$
$282$	−11.2182	−	2.07723i	−0.668035	−	0.123697i
$283$	−9.40214	−	6.04239i	−0.558899	−	0.359183i	0.230491	−	0.973074i	$-0.425967\pi$
$283$	−9.40214	−	6.04239i	−0.558899	−	0.359183i	−0.789390	+	0.613892i	$0.789603\pi$
$284$	−0.799406	−	3.84447i	−0.0474360	−	0.228127i
$285$	0.715433	−	0.825653i	0.0423786	−	0.0489075i
$286$	−36.2424	+	3.72820i	−2.14306	+	0.220453i
$287$	−0.682722	−	4.74844i	−0.0402998	−	0.280291i
$288$	4.57136	+	3.33206i	0.269370	+	0.196344i
$289$	−37.2109	+	23.9140i	−2.18887	+	1.40670i
$290$	−0.381673	−	0.933542i	−0.0224126	−	0.0548195i
$291$	2.01066	−	4.40274i	0.117867	−	0.258093i
$292$	0.422497	+	6.78208i	0.0247248	+	0.396891i
$293$	−3.98438	−	13.5695i	−0.232770	−	0.792741i	−0.990180	−	0.139801i	$-0.955354\pi$
$293$	−3.98438	−	13.5695i	−0.232770	−	0.792741i	0.757410	−	0.652940i	$-0.226465\pi$
$294$	−8.44190	+	2.11342i	−0.492341	+	0.123257i
$295$	3.12420	+	0.917347i	0.181898	+	0.0534100i
$296$	−15.6120	−	23.1602i	−0.907428	−	1.34616i
$297$	−5.61697	−	0.807599i	−0.325930	−	0.0468616i
$298$	4.86842	−	9.61530i	0.282020	−	0.557000i
$299$	−1.16152	+	21.7414i	−0.0671722	+	1.25734i
$300$	7.74899	−	5.69052i	0.447388	−	0.328543i
$301$	−0.643280	+	4.47411i	−0.0370780	+	0.257883i
$302$	−15.1539	−	0.610913i	−0.872012	−	0.0351541i
$303$	5.03175	−	17.1366i	0.289066	−	0.984469i
$304$	9.12257	−	3.96529i	0.523215	−	0.227425i
$305$	−2.26103	+	0.663899i	−0.129466	+	0.0380147i
$306$	9.54310	−	5.60309i	0.545542	−	0.320307i
$307$	1.37856	+	0.629567i	0.0786785	+	0.0359313i	0.454366	−	0.890815i	$-0.349866\pi$
$307$	1.37856	+	0.629567i	0.0786785	+	0.0359313i	−0.375687	+	0.926747i	$0.622593\pi$
$308$	−10.4080	−	0.840536i	−0.593049	−	0.0478940i
$309$	1.09091	+	1.69749i	0.0620598	+	0.0965669i
$310$	−1.18510	+	3.50684i	−0.0673093	+	0.199175i
$311$	4.44111	−	0.638535i	0.251832	−	0.0362080i	−0.0152425	−	0.999884i	$-0.504852\pi$
$311$	4.44111	−	0.638535i	0.251832	−	0.0362080i	0.267075	+	0.963676i	$0.413943\pi$
$312$	−9.51766	+	8.61957i	−0.538831	+	0.487987i
$313$	4.52124	+	3.91768i	0.255556	+	0.221440i	0.773211	−	0.634149i	$-0.218650\pi$
$313$	4.52124	+	3.91768i	0.255556	+	0.221440i	−0.517655	+	0.855589i	$0.673195\pi$
$314$	−5.41651	−	6.78501i	−0.305671	−	0.382900i
$315$	−0.218522	+	0.340026i	−0.0123123	+	0.0191583i
$316$	5.70339	+	4.35180i	0.320841	+	0.244808i
$317$	14.7263	+	16.9950i	0.827110	+	0.954536i	0.999535	−	0.0304863i	$-0.00970560\pi$
$317$	14.7263	+	16.9950i	0.827110	+	0.954536i	−0.172425	+	0.985023i	$0.555160\pi$
$318$	6.10623	+	5.73767i	0.342420	+	0.321753i
$319$	3.82673	+	8.37936i	0.214256	+	0.469154i
$320$	−3.45354	+	0.652184i	−0.193059	+	0.0364582i
$321$		−	2.33133i		−	0.130122i
$322$	−1.46182	+	6.06631i	−0.0814639	+	0.338062i
$323$		−	19.4593i		−	1.08275i
$324$	−1.76409	+	0.942336i	−0.0980048	+	0.0523520i
$325$	9.06564	+	19.8510i	0.502871	+	1.10113i
$326$	−19.1169	+	20.3449i	−1.05879	+	1.12680i
$327$	−8.92268	−	10.2973i	−0.493425	−	0.569443i
$328$	6.41921	+	13.2778i	0.354442	+	0.733146i
$329$	4.01273	−	6.24394i	0.221229	−	0.344239i
$330$	2.75538	−	2.19963i	0.151678	−	0.121086i
$331$	18.3451	+	15.8961i	1.00834	+	0.873728i	0.992013	−	0.126138i	$-0.0402583\pi$
$331$	18.3451	+	15.8961i	1.00834	+	0.873728i	0.0163237	+	0.999867i	$0.494804\pi$
$332$	22.6425	+	8.68292i	1.24267	+	0.476537i
$333$	9.77450	−	1.40536i	0.535639	−	0.0770133i
$334$	−12.9394	−	4.37273i	−0.708010	−	0.239265i
$335$	0.241554	+	0.375865i	0.0131975	+	0.0205357i
$336$	−3.13194	+	1.93243i	−0.170861	+	0.105422i
$337$	29.7072	+	13.5668i	1.61826	+	0.739033i	0.998937	−	0.0461056i	$-0.0146811\pi$
$337$	29.7072	+	13.5668i	1.61826	+	0.739033i	0.619320	+	0.785139i	$0.287408\pi$
$338$	−5.44930	−	9.28116i	−0.296403	−	0.504829i
$339$	1.27763	−	0.375147i	0.0693916	−	0.0203752i
$340$	−1.52313	+	6.70467i	−0.0826036	+	0.363612i
$341$	9.52538	−	32.4404i	0.515828	−	1.75675i
$342$	−0.141662	+	3.51398i	−0.00766019	+	0.190014i
$343$	1.72225	−	11.9785i	0.0929926	−	0.646777i
$344$	−2.27867	−	13.7080i	−0.122858	−	0.739085i
$345$	−1.04291	−	1.83069i	−0.0561482	−	0.0985613i
$346$	9.63092	+	4.87633i	0.517762	+	0.262153i
$347$	14.0567	+	2.02105i	0.754602	+	0.108495i	0.508871	−	0.860843i	$-0.330063\pi$
$347$	14.0567	+	2.02105i	0.754602	+	0.108495i	0.245731	+	0.969338i	$0.420972\pi$
$348$	2.83507	+	1.58204i	0.151976	+	0.0848061i
$349$	−1.78908	−	0.525320i	−0.0957670	−	0.0281197i	0.233498	−	0.972357i	$-0.424983\pi$
$349$	−1.78908	−	0.525320i	−0.0957670	−	0.0281197i	−0.329265	+	0.944238i	$0.606801\pi$
$350$	1.51893	+	6.06724i	0.0811901	+	0.324307i
$351$	−1.27903	−	4.35597i	−0.0682694	−	0.232504i
$352$	31.2781	−	7.22263i	1.66713	−	0.384968i
$353$	10.6756	−	23.3763i	0.568204	−	1.24419i	−0.379544	−	0.925174i	$-0.623919\pi$
$353$	10.6756	−	23.3763i	0.568204	−	1.24419i	0.947748	−	0.319020i	$-0.103354\pi$
$354$	−9.70208	+	3.96663i	−0.515659	+	0.210824i
$355$	−0.725618	+	0.466326i	−0.0385118	+	0.0247500i
$356$	21.2970	+	21.6918i	1.12874	+	1.14966i
$357$	1.02458	+	7.12608i	0.0542263	+	0.377152i
$358$	−0.799165	−	7.76882i	−0.0422372	−	0.410595i
$359$	−13.3622	+	15.4207i	−0.705227	+	0.813876i	−0.989449	−	0.144883i	$-0.953719\pi$
$359$	−13.3622	+	15.4207i	−0.705227	+	0.813876i	0.284221	+	0.958759i	$0.408265\pi$
$360$	0.323858	−	1.19965i	0.0170688	−	0.0632269i
$361$	−10.7815	−	6.92883i	−0.567445	−	0.364675i
$362$	−0.998767	+	5.39392i	−0.0524940	+	0.283498i
$363$	−16.0239	+	13.8848i	−0.841034	+	0.728760i
$364$	−2.84729	−	7.85341i	−0.149238	−	0.411630i
$365$	1.35776	−	0.620068i	0.0710684	−	0.0324559i
$366$	4.35487	−	6.21113i	0.227633	−	0.324661i
$367$	−19.6658			−1.02655			−0.513274	−	0.858225i	$-0.671568\pi$
$367$	−19.6658			−1.02655			−0.513274	+	0.858225i	$0.671568\pi$
$368$	−1.36198	−	19.1349i	−0.0709982	−	0.997476i
$369$	−5.21425			−0.271443
$370$	−3.52221	+	5.02354i	−0.183111	+	0.261162i
$371$	−4.95842	+	2.26443i	−0.257428	+	0.117563i
$372$	−4.06149	−	11.2024i	−0.210579	−	0.580820i
$373$	−9.68351	+	8.39081i	−0.501393	+	0.434460i	−0.868478	−	0.495728i	$-0.834901\pi$
$373$	−9.68351	+	8.39081i	−0.501393	+	0.434460i	0.367085	+	0.930188i	$0.380356\pi$
$374$	11.4338	−	61.7492i	0.591229	−	3.19298i
$375$	−3.62448	−	2.32931i	−0.187168	−	0.120285i
$376$	−5.94703	+	22.0292i	−0.306695	+	1.13607i
$377$	−4.82605	+	5.56955i	−0.248554	+	0.286847i
$378$	−0.133141	−	1.29429i	−0.00684805	−	0.0665711i
$379$	−4.44556	−	30.9195i	−0.228353	−	1.58823i	−0.705047	−	0.709161i	$-0.749074\pi$
$379$	−4.44556	−	30.9195i	−0.228353	−	1.58823i	0.476694	−	0.879070i	$-0.341835\pi$
$380$	−1.53077	−	1.55915i	−0.0785267	−	0.0799825i
$381$	−1.74949	+	1.12433i	−0.0896290	+	0.0576011i
$382$	22.2687	−	9.10440i	1.13936	−	0.465822i
$383$	−6.36506	+	13.9375i	−0.325239	+	0.712174i	−0.999657	−	0.0261752i	$-0.991667\pi$
$383$	−6.36506	+	13.9375i	−0.325239	+	0.712174i	0.674418	+	0.738350i	$0.264395\pi$
$384$	7.37846	−	8.57662i	0.376530	−	0.437674i
$385$	0.646202	+	2.20076i	0.0329335	+	0.112161i
$386$	0.707264	+	2.82511i	0.0359988	+	0.143794i
$387$	4.71400	+	1.38415i	0.239626	+	0.0703605i
$388$	−8.45319	−	4.71709i	−0.429146	−	0.239474i
$389$	−27.5162	−	3.95623i	−1.39513	−	0.200589i	−0.596596	−	0.802542i	$-0.703480\pi$
$389$	−27.5162	−	3.95623i	−1.39513	−	0.200589i	−0.798532	+	0.601953i	$0.794390\pi$
$390$	2.51642	+	1.27412i	0.127424	+	0.0645174i
$391$	−35.3925	−	12.4788i	−1.78988	−	0.631078i
$392$	2.85404	+	17.1693i	0.144151	+	0.867178i
$393$	−2.04307	+	14.2098i	−0.103059	+	0.716792i
$394$	−0.794442	+	19.7064i	−0.0400234	+	0.992797i
$395$	0.443970	−	1.51202i	0.0223386	−	0.0760782i
$396$	−2.51425	+	11.0675i	−0.126346	+	0.556161i
$397$	33.6929	−	9.89313i	1.69100	−	0.496522i	0.712309	−	0.701866i	$-0.247649\pi$
$397$	33.6929	−	9.89313i	1.69100	−	0.496522i	0.978690	+	0.205344i	$0.0658313\pi$
$398$	9.87593	+	16.8205i	0.495035	+	0.843136i
$399$	−2.08116	−	0.950432i	−0.104188	−	0.0475811i
$400$	−10.0966	−	16.3638i	−0.504829	−	0.818191i
$401$	2.12628	+	3.30856i	0.106181	+	0.165222i	0.890278	−	0.455417i	$-0.150510\pi$
$401$	2.12628	+	3.30856i	0.106181	+	0.165222i	−0.784097	+	0.620639i	$0.786873\pi$
$402$	−1.36256	−	0.460463i	−0.0679581	−	0.0229658i
$403$	26.7731	−	3.84939i	1.33366	−	0.191752i
$404$	−33.3518	−	12.7897i	−1.65931	−	0.636312i
$405$	0.332018	+	0.287695i	0.0164981	+	0.0142957i
$406$	−1.65065	+	1.31772i	−0.0819202	+	0.0653973i
$407$	30.2965	−	47.1422i	1.50174	−	2.33675i
$408$	−9.63344	−	19.9263i	−0.476926	−	0.986500i
$409$	−0.688925	−	0.795062i	−0.0340651	−	0.0393133i	0.738461	−	0.674296i	$-0.235553\pi$
$409$	−0.688925	−	0.795062i	−0.0340651	−	0.0393133i	−0.772526	+	0.634983i	$0.781007\pi$
$410$	2.21838	−	2.36088i	0.109558	−	0.116595i
$411$	−4.33411	−	9.49038i	−0.213786	−	0.468126i
$412$	3.55960	−	1.90146i	0.175369	−	0.0936781i
$413$		−	6.81892i		−	0.335537i
$414$	6.30036	+	2.51107i	0.309646	+	0.123413i
$415$		−	5.32685i		−	0.261485i
$416$	15.6509	+	20.3612i	0.767349	+	0.998292i
$417$	3.21638	+	7.04289i	0.157507	+	0.344892i
$418$	14.5439	+	13.6660i	0.711364	+	0.668428i
$419$	−13.2183	−	15.2547i	−0.645756	−	0.745242i	0.334626	−	0.942351i	$-0.391390\pi$
$419$	−13.2183	−	15.2547i	−0.645756	−	0.745242i	−0.980382	+	0.197109i	$0.936845\pi$
$420$	0.642665	+	0.490367i	0.0313588	+	0.0239275i
$421$	3.23615	−	5.03555i	0.157720	−	0.245418i	−0.753396	−	0.657567i	$-0.771586\pi$
$421$	3.23615	−	5.03555i	0.157720	−	0.245418i	0.911116	+	0.412150i	$0.135222\pi$
$422$	−25.5492	−	32.0043i	−1.24372	−	1.55795i
$423$	−6.09687	−	5.28297i	−0.296440	−	0.256867i
$424$	12.4212	−	11.2491i	0.603225	−	0.546305i
$425$	−37.2325	+	5.35322i	−1.80604	+	0.259670i
$426$	0.888937	−	2.63045i	0.0430691	−	0.127446i
$427$	2.66804	+	4.15156i	0.129116	+	0.200908i
$428$	−4.64753	−	0.375329i	−0.224647	−	0.0181422i
$429$	−23.4344	−	10.7021i	−1.13142	−	0.516704i
$430$	−2.63226	+	1.54549i	−0.126939	+	0.0745303i
$431$	26.3098	−	7.72526i	1.26730	−	0.372113i	0.422093	−	0.906552i	$-0.361296\pi$
$431$	26.3098	−	7.72526i	1.26730	−	0.372113i	0.845207	+	0.534440i	$0.179477\pi$
$432$	1.59455	+	3.66843i	0.0767178	+	0.176498i
$433$	6.62511	−	22.5631i	0.318383	−	1.08431i	−0.632449	−	0.774602i	$-0.717950\pi$
$433$	6.62511	−	22.5631i	0.318383	−	1.08431i	0.950831	−	0.309709i	$-0.100232\pi$
$434$	7.74576	+	0.312261i	0.371809	+	0.0149890i
$435$	0.101492	−	0.705895i	0.00486618	−	0.0338451i
$436$	−21.9643	+	16.1297i	−1.05190	+	0.772470i
$437$	9.41700	−	7.31801i	0.450476	−	0.350068i
$438$	−2.17049	+	4.28679i	−0.103710	+	0.204831i
$439$	−17.4701	−	2.51182i	−0.833801	−	0.119883i	−0.287825	−	0.957683i	$-0.592932\pi$
$439$	−17.4701	−	2.51182i	−0.833801	−	0.119883i	−0.545976	+	0.837800i	$0.683841\pi$
$440$	−3.94138	−	5.84699i	−0.187898	−	0.278745i
$441$	−5.90428	−	1.73365i	−0.281156	−	0.0825549i
$442$	48.7359	−	12.2010i	2.31813	−	0.580342i
$443$	3.67044	+	12.5004i	0.174388	+	0.593910i	0.999578	+	0.0290550i	$0.00924978\pi$
$443$	3.67044	+	12.5004i	0.174388	+	0.593910i	−0.825190	+	0.564855i	$0.808932\pi$
$444$	−1.22797	−	19.7118i	−0.0582768	−	0.935482i
$445$	2.77392	−	6.07403i	0.131496	−	0.287937i
$446$	−2.54784	−	6.23182i	−0.120644	−	0.295085i
$447$	6.41109	−	4.12016i	0.303234	−	0.194877i
$448$	3.34809	+	6.55466i	0.158182	+	0.309678i
$449$	−1.34104	−	9.32713i	−0.0632876	−	0.440175i	−0.996687	−	0.0813351i	$-0.974082\pi$
$449$	−1.34104	−	9.32713i	−0.0632876	−	0.440175i	0.933399	−	0.358840i	$-0.116827\pi$
$450$	6.76243	−	0.695640i	0.318784	−	0.0327928i
$451$	−19.3770	+	22.3622i	−0.912426	+	1.05300i
$452$	−0.542169	−	2.60737i	−0.0255015	−	0.122641i
$453$	−9.02174	−	5.79792i	−0.423878	−	0.272410i
$454$	0.558936	+	0.103496i	0.0262322	+	0.00485729i
$455$	−1.38678	+	1.20165i	−0.0650130	+	0.0563341i
$456$	6.98234	+	0.848132i	0.326978	+	0.0397174i
$457$	−4.57732	+	2.09039i	−0.214118	+	0.0977845i	−0.519587	−	0.854418i	$-0.673914\pi$
$457$	−4.57732	+	2.09039i	−0.214118	+	0.0977845i	0.305469	+	0.952202i	$0.401187\pi$
$458$	−16.8876	−	11.8406i	−0.789105	−	0.553273i
$459$	7.82513			0.365246
$460$	−3.81741	+	1.78431i	−0.177988	+	0.0831940i
$461$	17.1724			0.799796			0.399898	−	0.916560i	$-0.369046\pi$
$461$	17.1724			0.799796			0.399898	+	0.916560i	$0.369046\pi$
$462$	−6.04557	−	4.23879i	−0.281265	−	0.197206i
$463$	−3.66436	+	1.67346i	−0.170297	+	0.0777721i	−0.498740	−	0.866752i	$-0.666204\pi$
$463$	−3.66436	+	1.67346i	−0.170297	+	0.0777721i	0.328442	+	0.944524i	$0.393476\pi$
$464$	3.61024	−	5.39704i	0.167601	−	0.250551i
$465$	−1.97816	+	1.71408i	−0.0917348	+	0.0794887i
$466$	−19.5122	−	3.61299i	−0.903887	−	0.167368i
$467$	2.64199	+	1.69791i	0.122257	+	0.0785697i	0.600340	−	0.799745i	$-0.295032\pi$
$467$	2.64199	+	1.69791i	0.122257	+	0.0785697i	−0.478083	+	0.878315i	$0.658668\pi$
$468$	−8.88958	+	1.84847i	−0.410921	+	0.0854456i
$469$	0.612735	−	0.707134i	0.0282935	−	0.0326524i
$470$	4.98588	−	0.512889i	0.229981	−	0.0236578i
$471$	−0.873672	−	6.07653i	−0.0402567	−	0.279991i
$472$	6.34555	+	19.9798i	0.292078	+	0.919644i
$473$	23.4542	−	15.0731i	1.07842	−	0.693061i
$474$	1.91974	+	4.69553i	0.0881765	+	0.215673i
$475$	4.96584	−	10.8737i	0.227848	−	0.498918i
$476$	14.3709	−	0.895248i	0.658687	−	0.0410336i
$477$	1.66921	+	5.68482i	0.0764281	+	0.260290i
$478$	40.5978	−	10.1636i	1.85690	−	0.464874i
$479$	−6.79015	−	1.99377i	−0.310250	−	0.0910976i	0.122901	−	0.992419i	$-0.460780\pi$
$479$	−6.79015	−	1.99377i	−0.310250	−	0.0910976i	−0.433151	+	0.901321i	$0.642598\pi$
$480$	−2.33937	−	0.838748i	−0.106777	−	0.0382835i
$481$	44.3749	+	6.38015i	2.02332	+	0.290910i
$482$	−3.54262	+	6.99680i	−0.161362	+	0.318695i
$483$	−3.06323	+	3.17571i	−0.139382	+	0.144500i
$484$	25.0996	+	34.1791i	1.14089	+	1.55359i
$485$	−0.302615	+	2.10473i	−0.0137410	+	0.0955710i
$486$	−1.41307	−	0.0569661i	−0.0640980	−	0.00258403i
$487$	−6.74634	+	22.9759i	−0.305706	+	1.04114i	0.653146	+	0.757232i	$0.273449\pi$
$487$	−6.74634	+	22.9759i	−0.305706	+	1.04114i	−0.958852	+	0.283907i	$0.908369\pi$
$488$	−11.6808	−	9.68144i	−0.528767	−	0.438258i
$489$	−18.9408	+	5.56153i	−0.856534	+	0.251501i
$490$	3.29690	−	1.93573i	0.148939	−	0.0874473i
$491$	−1.17886	−	0.538366i	−0.0532011	−	0.0242961i	0.388637	−	0.921391i	$-0.372946\pi$
$491$	−1.17886	−	0.538366i	−0.0532011	−	0.0242961i	−0.441838	+	0.897095i	$0.645673\pi$
$492$	−0.839460	+	10.3947i	−0.0378458	+	0.468627i
$493$	−6.86752	−	10.6861i	−0.309298	−	0.481277i
$494$	−5.11155	+	15.1256i	−0.229979	+	0.680532i
$495$	2.46766	−	0.354796i	0.110913	−	0.0159469i
$496$	−22.9861	+	6.29311i	−1.03210	+	0.282569i
$497$	1.36514	+	1.18290i	0.0612350	+	0.0530604i
$498$	10.6981	+	13.4011i	0.479395	+	0.600516i
$499$	−15.1715	+	23.6074i	−0.679171	+	1.05681i	0.315010	+	0.949089i	$0.397992\pi$
$499$	−15.1715	+	23.6074i	−0.679171	+	1.05681i	−0.994181	+	0.107723i	$0.965644\pi$
$500$	−5.22703	+	6.85044i	−0.233760	+	0.306361i
$501$	−6.32454	−	7.29891i	−0.282560	−	0.326091i
$502$	12.8141	+	12.0407i	0.571923	+	0.537403i
$503$	10.4368	+	22.8533i	0.465352	+	1.01898i	0.986235	+	0.165351i	$0.0528758\pi$
$503$	10.4368	+	22.8533i	0.465352	+	1.01898i	−0.520882	+	0.853628i	$0.674397\pi$
$504$	−2.60161	+	0.0570462i	−0.115885	+	0.00254104i
$505$			7.84630i			0.349156i
$506$	34.1823	−	17.6887i	1.51959	−	0.786357i
$507$		−	7.61035i		−	0.337988i
$508$	1.95970	+	3.66863i	0.0869477	+	0.162769i
$509$	−18.2613	−	39.9867i	−0.809418	−	1.77238i	−0.609891	−	0.792485i	$-0.708787\pi$
$509$	−18.2613	−	39.9867i	−0.809418	−	1.77238i	−0.199526	−	0.979892i	$-0.563940\pi$
$510$	−3.32917	+	3.54301i	−0.147418	+	0.156887i
$511$	−2.04704	−	2.36240i	−0.0905555	−	0.104507i
$512$	−15.9097	−	16.0898i	−0.703116	−	0.711076i
$513$	−1.34445	+	2.09201i	−0.0593590	+	0.0923644i
$514$	4.16995	−	3.32889i	0.183929	−	0.146831i
$515$	−0.669949	−	0.580514i	−0.0295215	−	0.0255805i
$516$	3.51825	−	9.17456i	0.154882	−	0.403887i
$517$	−45.3139	+	6.51516i	−1.99290	+	0.286536i
$518$	12.1723	+	4.11351i	0.534820	+	0.180737i
$519$	4.12685	+	6.42151i	0.181149	+	0.281873i
$520$	2.94509	−	4.81139i	0.129151	−	0.210993i
$521$	−19.0551	−	8.70218i	−0.834820	−	0.381250i	−0.0483142	−	0.998832i	$-0.515385\pi$
$521$	−19.0551	−	8.70218i	−0.834820	−	0.381250i	−0.786506	+	0.617583i	$0.788112\pi$
$522$	1.16235	+	1.97969i	0.0508746	+	0.0866488i
$523$	−35.6669	+	10.4727i	−1.55960	+	0.457941i	−0.943954	−	0.330078i	$-0.892925\pi$
$523$	−35.6669	+	10.4727i	−1.55960	+	0.457941i	−0.615651	+	0.788019i	$0.711107\pi$
$524$	27.9985	+	6.36057i	1.22312	+	0.277863i
$525$	−1.24599	+	4.24344i	−0.0543793	+	0.185199i
$526$	0.632714	−	15.6947i	0.0275876	−	0.684322i
$527$	−6.63501	+	46.1475i	−0.289025	+	2.01022i
$528$	21.6583	+	6.79398i	0.942558	+	0.295670i
$529$	−7.27109	−	21.8204i	−0.316134	−	0.948714i
$530$	−3.28410	−	1.66281i	−0.142652	−	0.0722276i
$531$	−7.33619	−	1.05478i	−0.318363	−	0.0457738i
$532$	−2.22975	+	3.99579i	−0.0966718	+	0.173239i
$533$	−22.7131	−	6.66916i	−0.983813	−	0.288874i
$534$	5.22022	+	20.8518i	0.225901	+	0.902344i
$535$	0.288552	+	0.982717i	0.0124752	+	0.0424866i
$536$	−1.13730	+	2.64214i	−0.0491239	+	0.114123i
$537$	2.29408	−	5.02333i	0.0989968	−	0.216773i
$538$	13.8902	−	5.67893i	0.598850	−	0.244836i
$539$	−29.3763	+	18.8790i	−1.26533	+	0.813177i
$540$	0.626975	−	0.615563i	0.0269807	−	0.0264896i
$541$	4.65590	+	32.3825i	0.200173	+	1.39223i	0.803768	+	0.594942i	$0.202825\pi$
$541$	4.65590	+	32.3825i	0.200173	+	1.39223i	−0.603595	+	0.797291i	$0.706266\pi$
$542$	3.09809	+	30.1170i	0.133074	+	1.29364i
$543$	−2.54015	+	2.93149i	−0.109008	+	0.125802i
$544$	−41.2742	+	15.9963i	−1.76962	+	0.685838i
$545$	5.03566	+	3.23622i	0.215704	+	0.138625i
$546$	1.07547	−	5.80817i	0.0460260	−	0.248567i
$547$	18.4060	−	15.9489i	0.786985	−	0.681927i	−0.165602	−	0.986193i	$-0.552957\pi$
$547$	18.4060	−	15.9489i	0.786985	−	0.681927i	0.952587	+	0.304266i	$0.0984111\pi$
$548$	−19.6169	+	7.11220i	−0.837994	+	0.303818i
$549$	4.87919	−	2.22825i	0.208239	−	0.0950994i
$550$	22.1469	−	31.5870i	0.944348	−	1.34687i
$551$	4.03679			0.171973
$552$	6.02017	−	12.1556i	0.256235	−	0.517375i
$553$	−3.30017			−0.140337
$554$	−6.55335	+	9.34670i	−0.278425	+	0.397103i
$555$	−3.94627	+	1.80220i	−0.167510	+	0.0764992i
$556$	14.5579	−	5.27803i	0.617392	−	0.223838i
$557$	−6.88210	+	5.96337i	−0.291604	+	0.252676i	−0.788360	−	0.615214i	$-0.789070\pi$
$557$	−6.88210	+	5.96337i	−0.291604	+	0.252676i	0.496756	+	0.867890i	$0.334524\pi$
$558$	1.53410	−	8.28503i	0.0649437	−	0.350733i
$559$	18.7636	+	12.0587i	0.793617	+	0.510027i
$560$	1.08102	−	1.20221i	0.0456813	−	0.0508028i
$561$	29.0794	−	33.5595i	1.22773	−	1.41688i
$562$	0.304467	+	2.95978i	0.0128432	+	0.124851i
$563$	0.443788	+	3.08661i	0.0187034	+	0.130085i	0.997034	−	0.0769646i	$-0.0245228\pi$
$563$	0.443788	+	3.08661i	0.0187034	+	0.130085i	−0.978330	+	0.207050i	$0.933614\pi$
$564$	−11.5132	+	11.3037i	−0.484794	+	0.475970i
$565$	−0.492124	+	0.316269i	−0.0207038	+	0.0133055i
$566$	−14.6302	+	5.98147i	−0.614954	+	0.251420i
$567$	0.382195	−	0.836889i	0.0160507	−	0.0351460i
$568$	−5.10072	−	2.19559i	−0.214021	−	0.0921249i
$569$	8.74926	+	29.7973i	0.366788	+	1.24917i	0.911764	+	0.410714i	$0.134721\pi$
$569$	8.74926	+	29.7973i	0.366788	+	1.24917i	−0.544976	+	0.838452i	$0.683461\pi$
$570$	−0.375216	−	1.49877i	−0.0157161	−	0.0627765i
$571$	31.0760	+	9.12473i	1.30049	+	0.381858i	0.857414	−	0.514627i	$-0.172070\pi$
$571$	31.0760	+	9.12473i	1.30049	+	0.381858i	0.443074	+	0.896485i	$0.353888\pi$
$572$	−25.1076	+	44.9937i	−1.04980	+	1.88128i
$573$	16.8384	+	2.42099i	0.703433	+	0.101138i
$574$	−6.05274	−	3.06462i	−0.252636	−	0.127915i
$575$	−16.5925	−	16.0048i	−0.691955	−	0.667448i
$576$	7.56977	−	2.58816i	0.315407	−	0.107840i
$577$	1.11210	−	7.73483i	0.0462974	−	0.322005i	−0.953491	−	0.301422i	$-0.902539\pi$
$577$	1.11210	−	7.73483i	0.0462974	−	0.322005i	0.999788	−	0.0205831i	$-0.00655227\pi$
$578$	−2.51976	+	62.5036i	−0.104808	+	2.59981i
$579$	−0.580173	+	1.97589i	−0.0241112	+	0.0821151i
$580$	−1.39087	−	0.315970i	−0.0577527	−	0.0131200i
$581$	−10.7036	+	3.14287i	−0.444061	+	0.130388i
$582$	−3.46572	−	5.90275i	−0.143659	−	0.244677i
$583$	30.5834	+	13.9670i	1.26664	+	0.578453i
$584$	8.19632	+	5.01703i	0.339166	+	0.207606i
$585$	1.07829	+	1.67785i	0.0445817	+	0.0693705i
$586$	−18.9477	−	6.40319i	−0.782722	−	0.264513i
$587$	6.08379	−	0.874717i	0.251105	−	0.0361034i	−0.0156129	−	0.999878i	$-0.504970\pi$
$587$	6.08379	−	0.874717i	0.251105	−	0.0361034i	0.266718	+	0.963775i	$0.414061\pi$
$588$	−4.40661	+	11.4911i	−0.181725	+	0.473886i
$589$	−11.1973	−	9.70253i	−0.461377	−	0.399786i
$590$	3.59873	−	2.87288i	0.148157	−	0.118275i
$591$	−7.53971	+	11.7320i	−0.310142	+	0.482591i
$592$	−39.4934	−	0.725507i	−1.62317	−	0.0298182i
$593$	14.1322	+	16.3094i	0.580339	+	0.669747i	0.967677	−	0.252191i	$-0.0811511\pi$
$593$	14.1322	+	16.3094i	0.580339	+	0.669747i	−0.387339	+	0.921937i	$0.626606\pi$
$594$	−5.49549	+	5.84849i	−0.225483	+	0.239966i
$595$	−1.31389	−	2.87702i	−0.0538643	−	0.117946i
$596$	−7.18143	−	13.4439i	−0.294163	−	0.550683i
$597$			13.7925i			0.564488i
$598$	24.2324	+	18.9965i	0.990937	+	0.776824i
$599$			3.15052i			0.128727i	0.997927	+	0.0643633i	$0.0205017\pi$
$599$			3.15052i			0.128727i	−0.997927	+	0.0643633i	$0.979498\pi$
$600$	−0.298056	−	13.5930i	−0.0121681	−	0.554931i
$601$	−13.3877	−	29.3151i	−0.546097	−	1.19579i	−0.958581	−	0.284821i	$-0.908066\pi$
$601$	−13.3877	−	29.3151i	−0.546097	−	1.19579i	0.412483	−	0.910965i	$-0.364662\pi$
$602$	4.65852	+	4.37734i	0.189867	+	0.178407i
$603$	−0.665994	−	0.768598i	−0.0271214	−	0.0312997i
$604$	−13.0107	+	17.0515i	−0.529396	+	0.693816i
$605$	5.03595	−	7.83609i	0.204740	−	0.318582i
$606$	−15.7581	−	19.7394i	−0.640127	−	0.801858i
$607$	25.5438	+	22.1339i	1.03679	+	0.898385i	0.994913	−	0.100737i	$-0.0321202\pi$
$607$	25.5438	+	22.1339i	1.03679	+	0.898385i	0.0418788	+	0.999123i	$0.486666\pi$
$608$	2.81487	−	13.7828i	0.114158	−	0.558967i
$609$	−1.47829	+	0.212546i	−0.0599032	+	0.00861279i
$610$	−1.06693	+	3.15717i	−0.0431989	+	0.127830i
$611$	−19.8007	−	30.8105i	−0.801051	−	1.24646i
$612$	1.25980	−	15.5995i	0.0509242	−	0.630571i
$613$	6.34130	+	2.89597i	0.256123	+	0.116967i	0.539339	−	0.842089i	$-0.318674\pi$
$613$	6.34130	+	2.89597i	0.256123	+	0.116967i	−0.283216	+	0.959056i	$0.591401\pi$
$614$	1.84824	−	1.08517i	0.0745887	−	0.0437937i
$615$	2.19794	−	0.645375i	0.0886297	−	0.0260240i
$616$	−9.42336	+	11.3695i	−0.379678	+	0.458089i
$617$	−1.88270	+	6.41189i	−0.0757947	+	0.258133i	−0.988670	−	0.150106i	$-0.952039\pi$
$617$	−1.88270	+	6.41189i	−0.0757947	+	0.258133i	0.912875	+	0.408238i	$0.133857\pi$
$618$	2.85130	+	0.114947i	0.114696	+	0.00462384i
$619$	4.07505	−	28.3426i	0.163790	−	1.13919i	−0.727617	−	0.685983i	$-0.759372\pi$
$619$	4.07505	−	28.3426i	0.163790	−	1.13919i	0.891408	−	0.453203i	$-0.149719\pi$
$620$	3.09857	+	4.21943i	0.124442	+	0.169456i
$621$	2.94277	+	3.78683i	0.118089	+	0.151960i
$622$	2.86628	−	5.66099i	0.114927	−	0.226985i
$623$	−13.8416	−	1.99012i	−0.554553	−	0.0797327i
$624$	2.25378	+	18.0190i	0.0902234	+	0.721339i
$625$	−21.2453	−	6.23818i	−0.849811	−	0.249527i
$626$	8.20719	−	2.05466i	0.328025	−	0.0821209i
$627$	3.97575	+	13.5402i	0.158776	+	0.540742i
$628$	−12.2543	+	0.763393i	−0.488999	+	0.0304627i
$629$	−32.1005	+	70.2902i	−1.27993	+	2.80266i
$630$	0.216319	+	0.529099i	0.00861834	+	0.0210798i
$631$	−31.3520	+	20.1487i	−1.24810	+	0.802108i	−0.986610	−	0.163098i	$-0.947851\pi$
$631$	−31.3520	+	20.1487i	−1.24810	+	0.802108i	−0.261494	+	0.965205i	$0.584215\pi$
$632$	9.66965	−	3.07107i	0.384638	−	0.122161i
$633$	−4.12104	−	28.6625i	−0.163797	−	1.13923i
$634$	31.6354	−	3.25428i	1.25640	−	0.129244i
$635$	0.598296	−	0.690471i	0.0237427	−	0.0274005i
$636$	11.6015	−	2.41237i	0.460028	−	0.0956569i
$637$	−23.5015	−	15.1035i	−0.931162	−	0.598421i
$638$	12.8097	+	2.37192i	0.507142	+	0.0939051i
$639$	1.48380	−	1.28572i	0.0586983	−	0.0508623i
$640$	−2.04868	+	4.52851i	−0.0809810	+	0.179005i
$641$	37.9558	−	17.3338i	1.49916	−	0.684645i	0.514243	−	0.857645i	$-0.328073\pi$
$641$	37.9558	−	17.3338i	1.49916	−	0.684645i	0.984922	+	0.172999i	$0.0553459\pi$
$642$	−2.69956	−	1.89277i	−0.106543	−	0.0747016i
$643$	−4.09476			−0.161482			−0.0807408	−	0.996735i	$-0.525729\pi$
$643$	−4.09476			−0.161482			−0.0807408	+	0.996735i	$0.525729\pi$
$644$	5.83764	+	6.61785i	0.230035	+	0.260780i
$645$	−2.15839			−0.0849867
$646$	−22.5329	−	15.7987i	−0.886545	−	0.621592i
$647$	35.1473	−	16.0512i	1.38178	−	0.631039i	0.420674	−	0.907212i	$-0.361793\pi$
$647$	35.1473	−	16.0512i	1.38178	−	0.631039i	0.961108	+	0.276173i	$0.0890662\pi$
$648$	−0.341057	+	2.80779i	−0.0133980	+	0.110300i
$649$	−31.7861	+	27.5428i	−1.24771	+	1.08115i
$650$	30.3467	+	5.61915i	1.19029	+	0.220401i
$651$	4.61136	+	2.96354i	0.180733	+	0.116150i
$652$	8.03761	+	38.6541i	0.314777	+	1.51381i
$653$	2.03955	−	2.35377i	0.0798140	−	0.0921102i	−0.714438	−	0.699699i	$-0.753318\pi$
$653$	2.03955	−	2.35377i	0.0798140	−	0.0921102i	0.794252	+	0.607589i	$0.207863\pi$
$654$	−19.1680	+	1.97177i	−0.749526	+	0.0771025i
$655$	−0.897565	−	6.24270i	−0.0350708	−	0.243923i
$656$	20.5867	+	3.34695i	0.803776	+	0.130676i
$657$	−2.85826	+	1.83689i	−0.111511	+	0.0716639i
$658$	−3.97228	−	9.71589i	−0.154856	−	0.378765i
$659$	−12.4715	+	27.3087i	−0.485819	+	1.06379i	0.495004	+	0.868891i	$0.335167\pi$
$659$	−12.4715	+	27.3087i	−0.485819	+	1.06379i	−0.980822	+	0.194904i	$0.937561\pi$
$660$	−0.310012	−	4.97643i	−0.0120672	−	0.193707i
$661$	4.19906	+	14.3007i	0.163324	+	0.556232i	0.999964	+	0.00847830i	$0.00269876\pi$
$661$	4.19906	+	14.3007i	0.163324	+	0.556232i	−0.836640	+	0.547754i	$0.815483\pi$
$662$	33.3009	−	8.33686i	1.29428	−	0.324021i
$663$	34.0860	+	10.0086i	1.32379	+	0.388700i
$664$	28.4375	−	19.1693i	1.10359	−	0.743915i
$665$	0.994899	+	0.143045i	0.0385805	+	0.00554704i
$666$	6.30843	−	12.4594i	0.244447	−	0.482790i
$667$	2.58869	−	7.34209i	0.100234	−	0.284287i
$668$	−15.5687	+	11.4330i	−0.602369	+	0.442354i
$669$	0.677507	−	4.71217i	0.0261940	−	0.182183i
$670$	0.631345	+	0.0254519i	0.0243910	+	0.000983294i
$671$	8.57559	−	29.2058i	0.331057	−	1.12748i
$672$	−0.305121	+	5.19553i	−0.0117703	+	0.200422i
$673$	21.7411	−	6.38377i	0.838059	−	0.246076i	0.165584	−	0.986196i	$-0.447049\pi$
$673$	21.7411	−	6.38377i	0.838059	−	0.246076i	0.672476	+	0.740119i	$0.265231\pi$
$674$	39.8285	−	23.3848i	1.53414	−	0.900747i
$675$	4.37260	+	1.99690i	0.168301	+	0.0768607i
$676$	−15.1713	−	1.22522i	−0.583512	−	0.0471238i
$677$	−5.41983	−	8.43342i	−0.208301	−	0.324123i	0.721346	−	0.692575i	$-0.243524\pi$
$677$	−5.41983	−	8.43342i	−0.208301	−	0.324123i	−0.929646	+	0.368453i	$0.879888\pi$
$678$	0.602890	−	1.78401i	0.0231538	−	0.0685145i
$679$	4.40774	−	0.633737i	0.169154	−	0.0243206i
$680$	6.52706	+	7.20713i	0.250301	+	0.276381i
$681$	0.303770	+	0.263218i	0.0116405	+	0.0100866i
$682$	−29.8309	−	37.3678i	−1.14228	−	1.43089i
$683$	12.0572	−	18.7614i	0.461356	−	0.717885i	−0.530155	−	0.847900i	$-0.677866\pi$
$683$	12.0572	−	18.7614i	0.461356	−	0.717885i	0.991512	+	0.130016i	$0.0415028\pi$
$684$	3.95399	+	3.01698i	0.151185	+	0.115357i
$685$	3.00158	+	3.46401i	0.114685	+	0.132353i
$686$	−12.4722	−	11.7194i	−0.476191	−	0.447449i
$687$	−6.05844	−	13.2661i	−0.231144	−	0.506134i
$688$	−17.7232	−	8.49071i	−0.675689	−	0.323705i
$689$			26.8979i			1.02473i
$690$	−2.96657	−	0.278680i	−0.112935	−	0.0106092i
$691$		−	28.5970i		−	1.08788i	−0.839123	−	0.543941i	$-0.816931\pi$
$691$		−	28.5970i		−	1.08788i	0.839123	−	0.543941i	$-0.183069\pi$
$692$	13.4657	−	7.19310i	0.511890	−	0.273440i
$693$	−2.16885	−	4.74912i	−0.0823879	−	0.180404i
$694$	13.7527	−	14.6361i	0.522044	−	0.555577i
$695$	−2.22750	−	2.57067i	−0.0844939	−	0.0975111i
$696$	4.13367	−	1.99843i	0.156686	−	0.0757504i
$697$	22.0593	−	34.3250i	0.835556	−	1.30015i
$698$	−2.06082	+	1.64516i	−0.0780030	+	0.0622702i
$699$	−10.6045	−	9.18885i	−0.401099	−	0.347554i
$700$	8.25874	+	3.16705i	0.312151	+	0.119703i
$701$	25.3589	−	3.64606i	0.957792	−	0.137710i	0.354347	−	0.935114i	$-0.384703\pi$
$701$	25.3589	−	3.64606i	0.957792	−	0.137710i	0.603445	+	0.797404i	$0.293794\pi$
$702$	−6.08241	−	2.05549i	−0.229566	−	0.0775795i
$703$	−13.2765	−	20.6586i	−0.500732	−	0.779154i
$704$	17.0307	−	42.0823i	0.641869	−	1.58604i
$705$	3.22387	+	1.47229i	0.121418	+	0.0554498i
$706$	−18.4012	−	31.3406i	−0.692538	−	1.17952i
$707$	15.7662	−	4.62936i	0.592947	−	0.174105i
$708$	−3.28380	+	14.4549i	−0.123413	+	0.543250i
$709$	−0.752172	+	2.56166i	−0.0282484	+	0.0962053i	−0.972411	−	0.233276i	$-0.925056\pi$
$709$	−0.752172	+	2.56166i	−0.0282484	+	0.0962053i	0.944162	+	0.329481i	$0.106874\pi$
$710$	−0.0491357	+	1.21883i	−0.00184403	+	0.0457419i
$711$	−0.510486	+	3.55051i	−0.0191447	+	0.133154i
$712$	42.4086	−	7.04957i	1.58933	−	0.264194i
$713$	−24.8275	+	14.1436i	−0.929795	+	0.529684i
$714$	9.08347	+	4.59914i	0.339940	+	0.172119i
$715$	11.2028	+	1.61073i	0.418963	+	0.0602377i
$716$	−9.64473	−	5.38199i	−0.360440	−	0.201134i
$717$	28.3942	+	8.33729i	1.06040	+	0.311362i
$718$	7.00791	+	27.9925i	0.261533	+	1.04467i
$719$	1.73286	+	5.90158i	0.0646248	+	0.220092i	0.985474	−	0.169827i	$-0.0543210\pi$
$719$	1.73286	+	5.90158i	0.0646248	+	0.220092i	−0.920849	+	0.389919i	$0.872503\pi$
$720$	−1.12619	−	1.34898i	−0.0419707	−	0.0502736i
$721$	−0.771197	+	1.68869i	−0.0287209	+	0.0628899i
$722$	−16.7765	+	6.85898i	−0.624357	+	0.255265i
$723$	−4.66518	+	2.99813i	−0.173500	+	0.111502i
$724$	5.43500	+	5.53576i	0.201990	+	0.205735i
$725$	−1.11051	−	7.72379i	−0.0412434	−	0.286854i
$726$	3.06831	+	29.8276i	0.113876	+	1.10701i
$727$	−22.3797	+	25.8276i	−0.830018	+	0.957892i	−0.999618	−	0.0276213i	$-0.991207\pi$
$727$	−22.3797	+	25.8276i	−0.830018	+	0.957892i	0.169601	+	0.985513i	$0.445752\pi$
$728$	−11.4055	−	3.07904i	−0.422716	−	0.114117i
$729$	−0.841254	−	0.540641i	−0.0311575	−	0.0200237i
$730$	0.384337	−	2.07564i	0.0142249	−	0.0768229i
$731$	−29.0547	+	25.1761i	−1.07463	+	0.931171i
$732$	−3.65652	−	10.0854i	−0.135149	−	0.372769i
$733$	21.8663	−	9.98602i	0.807652	−	0.368842i	0.0315914	−	0.999501i	$-0.489942\pi$
$733$	21.8663	−	9.98602i	0.807652	−	0.368842i	0.776060	+	0.630659i	$0.217215\pi$
$734$	−15.9664	+	22.7720i	−0.589330	+	0.840531i
$735$	2.70339			0.0997160
$736$	−23.2630	−	13.9582i	−0.857486	−	0.514507i
$737$	−5.77121			−0.212585
$738$	−4.23336	+	6.03783i	−0.155832	+	0.222256i
$739$	39.2952	−	17.9455i	1.44550	−	0.660136i	0.470509	−	0.882395i	$-0.344070\pi$
$739$	39.2952	−	17.9455i	1.44550	−	0.660136i	0.974988	+	0.222259i	$0.0713430\pi$
$740$	2.95738	+	8.15707i	0.108715	+	0.299860i
$741$	−8.53212	+	7.39313i	−0.313435	+	0.271593i
$742$	−1.40356	+	7.58005i	−0.0515264	+	0.278272i
$743$	−29.5457	−	18.9879i	−1.08393	−	0.696597i	−0.128465	−	0.991714i	$-0.541005\pi$
$743$	−29.5457	−	18.9879i	−1.08393	−	0.696597i	−0.955461	+	0.295117i	$0.904641\pi$
$744$	−16.2693	−	4.39208i	−0.596462	−	0.161022i
$745$	−2.19249	+	2.53027i	−0.0803265	+	0.0927018i
$746$	1.85424	+	18.0254i	0.0678885	+	0.659956i
$747$	1.72559	+	12.0017i	0.0631360	+	0.439120i
$748$	−62.2195	−	63.3730i	−2.27497	−	2.31715i
$749$	1.80440	−	1.15962i	0.0659313	−	0.0423715i
$750$	−5.63989	+	2.30583i	−0.205939	+	0.0841971i
$751$	18.4459	−	40.3908i	0.673099	−	1.47388i	−0.196694	−	0.980465i	$-0.563021\pi$
$751$	18.4459	−	40.3908i	0.673099	−	1.47388i	0.869793	−	0.493416i	$-0.164252\pi$
$752$	20.6804	+	24.7715i	0.754136	+	0.903324i
$753$	3.50291	+	11.9298i	0.127653	+	0.434746i
$754$	2.53107	+	10.1101i	0.0921760	+	0.368190i
$755$	4.52052	+	1.32734i	0.164519	+	0.0483070i
$756$	−1.60682	−	0.896642i	−0.0584393	−	0.0326106i
$757$	−10.5253	−	1.51331i	−0.382548	−	0.0550022i	−0.0516418	−	0.998666i	$-0.516445\pi$
$757$	−10.5253	−	1.51331i	−0.382548	−	0.0550022i	−0.330907	+	0.943664i	$0.607355\pi$
$758$	−39.4125	−	19.9554i	−1.43153	−	0.724811i
$759$	27.1763	+	1.45187i	0.986438	+	0.0526996i
$760$	−3.04822	+	0.506704i	−0.110570	+	0.0183801i
$761$	−3.90962	+	27.1920i	−0.141724	+	0.985710i	0.787532	+	0.616274i	$0.211358\pi$
$761$	−3.90962	+	27.1920i	−0.141724	+	0.985710i	−0.929256	+	0.369437i	$0.879551\pi$
$762$	−0.118468	+	2.93864i	−0.00429163	+	0.106456i
$763$	3.53172	−	12.0279i	0.127857	−	0.435440i
$764$	7.53714	−	33.1777i	0.272684	−	1.20033i
$765$	−3.29850	+	0.968527i	−0.119258	+	0.0350172i
$766$	10.9713	+	18.6861i	0.396407	+	0.675155i
$767$	−30.6071	−	13.9778i	−1.10516	−	0.504709i
$768$	−3.94083	−	15.5071i	−0.142202	−	0.559564i
$769$	24.9321	+	38.7951i	0.899075	+	1.39899i	0.916887	+	0.399147i	$0.130694\pi$
$769$	24.9321	+	38.7951i	0.899075	+	1.39899i	−0.0178121	+	0.999841i	$0.505670\pi$
$770$	3.07301	+	1.03849i	0.110744	+	0.0374247i
$771$	3.73453	−	0.536944i	0.134496	−	0.0193376i
$772$	3.84555	+	1.47469i	0.138404	+	0.0530751i
$773$	7.19963	+	6.23852i	0.258953	+	0.224384i	0.774655	−	0.632384i	$-0.217923\pi$
$773$	7.19963	+	6.23852i	0.258953	+	0.224384i	−0.515702	+	0.856768i	$0.672469\pi$
$774$	5.43000	−	4.33479i	0.195177	−	0.155811i
$775$	−15.4840	+	24.0935i	−0.556200	+	0.865465i
$776$	−12.3252	+	5.95863i	−0.442447	+	0.213903i
$777$	5.94962	+	6.86622i	0.213441	+	0.246324i
$778$	−26.9211	+	28.6504i	−0.965168	+	1.02717i
$779$	5.38655	+	11.7949i	0.192993	+	0.422596i
$780$	3.51841	−	1.87945i	0.125979	−	0.0672953i
$781$		−	11.1415i		−	0.398674i
$782$	−43.1844	+	30.8514i	−1.54427	+	1.10325i
$783$			1.62330i			0.0580121i
$784$	22.1983	+	10.6346i	0.792795	+	0.379808i
$785$	1.12038	+	2.45328i	0.0399879	+	0.0875614i
$786$	14.7955	+	13.9025i	0.527739	+	0.495886i
$787$	−23.9363	−	27.6240i	−0.853238	−	0.984689i	0.146752	−	0.989173i	$-0.453118\pi$
$787$	−23.9363	−	27.6240i	−0.853238	−	0.984689i	−0.999990	+	0.00448392i	$0.998573\pi$
$788$	22.1741	+	16.9193i	0.789918	+	0.602724i
$789$	6.00482	−	9.34368i	0.213777	−	0.332644i
$790$	−1.39039	−	1.74168i	−0.0494680	−	0.0619663i
$791$	0.925859	+	0.802262i	0.0329198	+	0.0285251i
$792$	10.7743	+	11.8969i	0.382847	+	0.422737i
$793$	24.1036	−	3.46557i	0.855943	−	0.123066i
$794$	15.8990	−	47.0467i	0.564234	−	1.66963i
$795$	−1.40724	−	2.18970i	−0.0499095	−	0.0776607i
$796$	27.4954	+	2.22050i	0.974549	+	0.0787034i
$797$	−29.1693	−	13.3212i	−1.03323	−	0.471861i	−0.174700	−	0.984622i	$-0.555895\pi$
$797$	−29.1693	−	13.3212i	−1.03323	−	0.471861i	−0.858532	+	0.512761i	$0.828623\pi$
$798$	−2.79021	+	1.63823i	−0.0987723	+	0.0579927i
$799$	60.5707	−	17.7852i	2.14284	−	0.629194i
$800$	−27.1457	−	1.59420i	−0.959746	−	0.0563636i
$801$	−4.28218	+	14.5838i	−0.151303	+	0.515292i
$802$	5.55743	+	0.224041i	0.196240	+	0.00791117i
$803$	−2.74391	+	19.0843i	−0.0968305	+	0.673471i
$804$	−1.63943	+	1.20393i	−0.0578182	+	0.0424592i
$805$	0.898171	−	1.71779i	0.0316564	−	0.0605440i
$806$	17.2793	−	34.1272i	0.608636	−	1.20208i
$807$	10.5030	+	1.51011i	0.369724	+	0.0531583i
$808$	−41.8876	+	28.2359i	−1.47360	+	0.993336i
$809$	13.4948	+	3.96244i	0.474453	+	0.139312i	0.510212	−	0.860048i	$-0.329567\pi$
$809$	13.4948	+	3.96244i	0.474453	+	0.139312i	−0.0357594	+	0.999360i	$0.511385\pi$
$810$	0.602696	−	0.150884i	0.0211766	−	0.00530154i
$811$	−3.72418	−	12.6834i	−0.130774	−	0.445374i	0.867907	−	0.496727i	$-0.165465\pi$
$811$	−3.72418	−	12.6834i	−0.130774	−	0.445374i	−0.998681	+	0.0513529i	$0.983647\pi$
$812$	0.185717	+	2.98120i	0.00651739	+	0.104620i
$813$	−8.89334	+	19.4737i	−0.311903	+	0.682973i
$814$	−29.9911	−	73.3558i	−1.05119	−	2.57112i
$815$	7.29571	−	4.68867i	0.255557	−	0.164237i
$816$	−30.8949	−	5.02283i	−1.08154	−	0.175834i
$817$	−1.73874	−	12.0932i	−0.0608308	−	0.423087i
$818$	−1.47997	+	0.152242i	−0.0517458	+	0.00532300i
$819$	2.73523	−	3.15662i	0.0955767	−	0.110301i
$820$	−0.932706	−	4.48553i	−0.0325715	−	0.156641i
$821$	2.27544	+	1.46234i	0.0794135	+	0.0510360i	0.579745	−	0.814798i	$-0.303152\pi$
$821$	2.27544	+	1.46234i	0.0794135	+	0.0510360i	−0.500331	+	0.865834i	$0.666789\pi$
$822$	−14.5082	−	2.68641i	−0.506030	−	0.0936993i
$823$	−29.0812	+	25.1990i	−1.01371	+	0.878381i	−0.992604	−	0.121396i	$-0.961263\pi$
$823$	−29.0812	+	25.1990i	−1.01371	+	0.878381i	−0.0211016	+	0.999777i	$0.506717\pi$
$824$	0.688189	−	5.66559i	0.0239742	−	0.197370i
$825$	24.8133	−	11.3319i	0.863889	−	0.394525i
$826$	−7.89596	−	5.53617i	−0.274736	−	0.192628i
$827$	−21.7846			−0.757523			−0.378762	−	0.925494i	$-0.623650\pi$
$827$	−21.7846			−0.757523			−0.378762	+	0.925494i	$0.623650\pi$
$828$	8.02285	−	5.25679i	0.278813	−	0.182686i
$829$	−2.91642			−0.101292			−0.0506458	−	0.998717i	$-0.516128\pi$
$829$	−2.91642			−0.101292			−0.0506458	+	0.998717i	$0.516128\pi$
$830$	−6.16821	−	4.32478i	−0.214102	−	0.150115i
$831$	−7.34235	+	3.35314i	−0.254703	+	0.116319i
$832$	36.2840	−	1.59198i	1.25792	−	0.0551920i
$833$	36.3911	−	31.5330i	1.26088	−	1.09255i
$834$	10.7666	+	1.99361i	0.372818	+	0.0690330i
$835$	3.56936	+	2.29389i	0.123523	+	0.0793832i
$836$	27.6325	−	5.74582i	0.955690	−	0.198723i
$837$	3.90165	−	4.50275i	0.134861	−	0.155638i
$838$	−28.3959	+	2.92104i	−0.980920	+	0.100905i
$839$	−4.41456	−	30.7040i	−0.152408	−	1.06002i	−0.912168	−	0.409816i	$-0.865593\pi$
$839$	−4.41456	−	30.7040i	−0.152408	−	1.06002i	0.759761	−	0.650203i	$-0.225316\pi$
$840$	1.08959	−	0.346052i	0.0375944	−	0.0119399i
$841$	−22.1796	+	14.2539i	−0.764812	+	0.491515i
$842$	−3.20353	−	7.83558i	−0.110401	−	0.270032i
$843$	−0.874001	+	1.91380i	−0.0301022	+	0.0659146i
$844$	−57.8024	+	3.60086i	−1.98964	+	0.123947i
$845$	0.941944	+	3.20797i	0.0324038	+	0.110357i
$846$	−11.0674	+	2.77071i	−0.380504	+	0.0952588i
$847$	−18.7169	−	5.49577i	−0.643119	−	0.188837i
$848$	−2.94133	−	23.5160i	−0.101006	−	0.807544i
$849$	−11.0626	−	1.59056i	−0.379667	−	0.0545879i
$850$	−24.0297	+	47.4595i	−0.824212	+	1.62785i
$851$	−46.0876	+	10.8994i	−1.57986	+	0.373626i
$852$	−2.32422	−	3.16497i	−0.0796263	−	0.108430i
$853$	4.97473	−	34.6000i	0.170331	−	1.18468i	−0.707853	−	0.706360i	$-0.750336\pi$
$853$	4.97473	−	34.6000i	0.170331	−	1.18468i	0.878185	−	0.478322i	$-0.158755\pi$
$854$	6.97343	+	0.281125i	0.238626	+	0.00961991i
$855$	0.307792	−	1.04824i	0.0105263	−	0.0358491i
$856$	−4.20786	+	5.07687i	−0.143822	+	0.173524i
$857$	51.7194	−	15.1862i	1.76670	−	0.518751i	0.773361	−	0.633965i	$-0.218574\pi$
$857$	51.7194	−	15.1862i	1.76670	−	0.518751i	0.993341	+	0.115215i	$0.0367556\pi$
$858$	−31.4185	+	18.4469i	−1.07261	+	0.629768i
$859$	1.88774	+	0.862103i	0.0644089	+	0.0294146i	0.447359	−	0.894354i	$-0.352365\pi$
$859$	1.88774	+	0.862103i	0.0644089	+	0.0294146i	−0.382950	+	0.923769i	$0.625092\pi$
$860$	−0.347488	+	4.30278i	−0.0118492	+	0.146724i
$861$	−2.59360	−	4.03572i	−0.0883896	−	0.137537i
$862$	12.4151	−	36.7374i	0.422859	−	1.25128i
$863$	14.3755	−	2.06689i	0.489348	−	0.0703576i	0.106775	−	0.994283i	$-0.465947\pi$
$863$	14.3755	−	2.06689i	0.489348	−	0.0703576i	0.382572	+	0.923926i	$0.375038\pi$
$864$	5.54245	+	1.13194i	0.188558	+	0.0385093i
$865$	−2.53438	−	2.19605i	−0.0861714	−	0.0746679i
$866$	−20.7480	−	25.9901i	−0.705047	−	0.883181i
$867$	−23.9140	+	37.2109i	−0.812161	+	1.26375i
$868$	6.65024	−	8.71567i	0.225724	−	0.295829i
$869$	13.3299	+	15.3836i	0.452187	+	0.521852i
$870$	−0.734990	−	0.690627i	−0.0249185	−	0.0234145i
$871$	−1.91799	−	4.19981i	−0.0649886	−	0.142305i
$872$	0.844833	+	38.5289i	0.0286096	+	1.30475i
$873$		−	4.84013i		−	0.163814i
$874$	−0.828372	−	16.8458i	−0.0280201	−	0.569817i
$875$		−	3.96389i		−	0.134004i
$876$	3.20170	+	5.99369i	0.108175	+	0.202508i
$877$	23.4223	+	51.2877i	0.790915	+	1.73186i	0.674013	+	0.738720i	$0.264569\pi$
$877$	23.4223	+	51.2877i	0.790915	+	1.73186i	0.116903	+	0.993143i	$0.462703\pi$
$878$	−17.0922	+	18.1901i	−0.576835	+	0.613888i
$879$	−9.26131	−	10.6881i	−0.312376	−	0.360501i
$880$	−9.97047	−	0.183161i	−0.336104	−	0.00617435i
$881$	−8.13526	+	12.6587i	−0.274084	+	0.426483i	−0.950820	−	0.309742i	$-0.899757\pi$
$881$	−8.13526	+	12.6587i	−0.274084	+	0.426483i	0.676737	+	0.736225i	$0.263394\pi$
$882$	−6.80107	+	5.42933i	−0.229004	+	0.182815i
$883$	19.3169	+	16.7382i	0.650067	+	0.563286i	0.916235	−	0.400640i	$-0.131212\pi$
$883$	19.3169	+	16.7382i	0.650067	+	0.563286i	−0.266169	+	0.963926i	$0.585758\pi$
$884$	25.4398	−	66.3395i	0.855632	−	2.23124i
$885$	3.22295	−	0.463390i	0.108338	−	0.0155767i
$886$	17.4547	+	5.89867i	0.586404	+	0.198170i
$887$	−6.98414	−	10.8675i	−0.234504	−	0.364896i	0.703979	−	0.710221i	$-0.251405\pi$
$887$	−6.98414	−	10.8675i	−0.234504	−	0.364896i	−0.938483	+	0.345325i	$0.887769\pi$
$888$	−23.8222	−	14.5818i	−0.799422	−	0.489333i
$889$	−1.74041	−	0.794820i	−0.0583715	−	0.0266574i
$890$	−4.78131	−	8.14346i	−0.160270	−	0.272969i
$891$	−5.44487	+	1.59876i	−0.182410	+	0.0535604i
$892$	−9.28468	−	2.10925i	−0.310874	−	0.0706228i
$893$	−5.65201	+	19.2490i	−0.189137	+	0.644142i
$894$	0.434131	−	10.7688i	0.0145195	−	0.360163i
$895$	−0.345270	+	2.40141i	−0.0115411	+	0.0802702i
$896$	10.3082	+	1.44471i	0.344373	+	0.0482643i
$897$	7.97516	+	20.2592i	0.266283	+	0.676435i
$898$	−11.8891	−	6.01970i	−0.396745	−	0.200880i
$899$	−9.57318	−	1.37642i	−0.319283	−	0.0459060i
$900$	4.68480	−	8.39533i	0.156160	−	0.279844i
$901$	−44.4845	−	13.0618i	−1.48199	−	0.435152i
$902$	10.1624	+	40.5931i	0.338372	+	1.35160i
$903$	1.27346	+	4.33702i	0.0423782	+	0.144327i
$904$	−3.45938	−	1.48908i	−0.115057	−	0.0495261i
$905$	0.707906	−	1.55010i	0.0235316	−	0.0515270i
$906$	−14.0383	+	5.73947i	−0.466391	+	0.190681i
$907$	12.5473	−	8.06366i	0.416626	−	0.267749i	−0.315490	−	0.948929i	$-0.602169\pi$
$907$	12.5473	−	8.06366i	0.416626	−	0.267749i	0.732117	+	0.681179i	$0.238533\pi$
$908$	0.573634	−	0.563192i	0.0190367	−	0.0186902i
$909$	−2.54174	−	17.6782i	−0.0843043	−	0.586350i
$910$	0.265545	+	2.58141i	0.00880274	+	0.0855730i
$911$	10.8172	−	12.4837i	0.358389	−	0.413603i	−0.547710	−	0.836668i	$-0.684500\pi$
$911$	10.8172	−	12.4837i	0.358389	−	0.413603i	0.906099	+	0.423065i	$0.139046\pi$
$912$	6.65094	−	7.39661i	0.220235	−	0.244926i
$913$	57.8841	+	37.1999i	1.91568	+	1.23114i
$914$	−1.29569	+	6.99746i	−0.0428575	+	0.231455i
$915$	−1.78091	+	1.54317i	−0.0588752	+	0.0510156i
$916$	−27.4215	+	9.94179i	−0.906033	+	0.328486i
$917$	−12.0144	+	5.48677i	−0.396749	+	0.181189i
$918$	6.35310	−	9.06110i	0.209683	−	0.299061i
$919$	13.2961			0.438597			0.219298	−	0.975658i	$-0.429623\pi$
$919$	13.2961			0.438597			0.219298	+	0.975658i	$0.429623\pi$
$920$	−1.03315	+	5.86902i	−0.0340619	+	0.193496i
$921$	1.51551			0.0499379
$922$	13.9420	−	19.8847i	0.459154	−	0.654868i
$923$	8.10786	−	3.70274i	0.266873	−	0.121877i
$924$	−9.81660	+	3.55905i	−0.322942	+	0.117084i
$925$	−35.8748	+	31.0857i	−1.17956	+	1.02209i
$926$	−1.03726	+	5.60179i	−0.0340864	+	0.184086i
$927$	1.69749	+	1.09091i	0.0557530	+	0.0358302i
$928$	−3.31840	−	8.56224i	−0.108932	−	0.281069i
$929$	14.8594	−	17.1486i	0.487520	−	0.562628i	−0.457681	−	0.889116i	$-0.651320\pi$
$929$	14.8594	−	17.1486i	0.487520	−	0.562628i	0.945201	+	0.326488i	$0.105865\pi$
$930$	0.378786	+	3.68224i	0.0124209	+	0.120745i
$931$	2.17777	+	15.1467i	0.0713735	+	0.496414i
$932$	−20.0253	+	19.6608i	−0.655951	+	0.644012i
$933$	3.77452	−	2.42574i	0.123572	−	0.0794151i
$934$	4.11108	−	1.68079i	0.134519	−	0.0549971i
$935$	−8.10406	+	17.7454i	−0.265031	+	0.580337i
$936$	−5.07687	+	11.7944i	−0.165943	+	0.385512i
$937$	−11.3882	−	38.7848i	−0.372037	−	1.26704i	−0.906628	−	0.421931i	$-0.861352\pi$
$937$	−11.3882	−	38.7848i	−0.372037	−	1.26704i	0.534590	−	0.845111i	$-0.320466\pi$
$938$	−0.321355	−	1.28363i	−0.0104926	−	0.0419119i
$939$	5.74012	+	1.68545i	0.187322	+	0.0550027i
$940$	3.45406	−	6.18980i	0.112659	−	0.201889i
$941$	5.15947	+	0.741820i	0.168194	+	0.0241826i	0.225897	−	0.974151i	$-0.427469\pi$
$941$	5.15947	+	0.741820i	0.168194	+	0.0241826i	−0.0577033	+	0.998334i	$0.518378\pi$
$942$	−7.74562	−	3.92177i	−0.252366	−	0.127778i
$943$	24.9067	−	2.23327i	0.811075	−	0.0727254i
$944$	28.2874	+	8.87345i	0.920677	+	0.288806i
$945$	−0.0575222	+	0.400076i	−0.00187120	+	0.0130145i
$946$	1.58821	−	39.3963i	0.0516373	−	1.28088i
$947$	0.909546	−	3.09763i	0.0295563	−	0.100659i	−0.943394	−	0.331674i	$-0.892386\pi$
$947$	0.909546	−	3.09763i	0.0295563	−	0.100659i	0.972950	+	0.231015i	$0.0742046\pi$
$948$	6.99579	+	1.58927i	0.227213	+	0.0516170i
$949$	−14.7999	+	4.34564i	−0.480425	+	0.141065i
$950$	−8.55946	−	14.5783i	−0.277706	−	0.472984i
$951$	20.4555	+	9.34171i	0.663315	+	0.302926i
$952$	10.6308	−	17.3676i	0.344547	−	0.562886i
$953$	14.3285	+	22.2956i	0.464146	+	0.722226i	0.991879	−	0.127185i	$-0.0405941\pi$
$953$	14.3285	+	22.2956i	0.464146	+	0.722226i	−0.527733	+	0.849410i	$0.676958\pi$
$954$	7.93794	+	2.68255i	0.257000	+	0.0868508i
$955$	−7.39747	+	1.06359i	−0.239376	+	0.0344171i
$956$	21.1917	−	55.2618i	0.685390	−	1.78730i
$957$	6.96183	+	6.03246i	0.225044	+	0.195002i
$958$	−7.82150	+	6.24394i	−0.252701	+	0.201732i
$959$	5.18954	−	8.07509i	0.167579	−	0.260758i
$960$	−2.87052	+	2.02790i	−0.0926457	+	0.0654501i
$961$	2.94531	+	3.39907i	0.0950100	+	0.109647i
$962$	43.4151	−	46.2039i	1.39976	−	1.48967i
$963$	−0.968469	−	2.12065i	−0.0312085	−	0.0683370i
$964$	5.22573	+	9.78276i	0.168310	+	0.315081i
$965$		−	0.904698i		−	0.0291233i
$966$	1.19032	+	6.12537i	0.0382979	+	0.197080i
$967$			30.2893i			0.974037i	0.873392	+	0.487018i	$0.161916\pi$
$967$			30.2893i			0.974037i	−0.873392	+	0.487018i	$0.838084\pi$
$968$	59.9556	−	1.31466i	1.92705	−	0.0422548i
$969$	−8.08370	−	17.7008i	−0.259686	−	0.568633i
$970$	2.19148	+	2.05921i	0.0703643	+	0.0661173i
$971$	−24.1450	−	27.8648i	−0.774849	−	0.894223i	0.221877	−	0.975075i	$-0.428782\pi$
$971$	−24.1450	−	27.8648i	−0.774849	−	0.894223i	−0.996726	+	0.0808513i	$0.974236\pi$
$972$	−1.21321	+	1.59001i	−0.0389137	+	0.0509995i
$973$	−3.85120	+	5.99259i	−0.123464	+	0.192114i
$974$	21.1277	+	26.4657i	0.676975	+	0.848016i
$975$	16.4928	+	14.2911i	0.528192	+	0.457681i
$976$	−20.6941	+	5.66562i	−0.662402	+	0.181352i
$977$	3.31456	−	0.476561i	0.106042	−	0.0152465i	−0.0890895	−	0.996024i	$-0.528396\pi$
$977$	3.31456	−	0.476561i	0.106042	−	0.0152465i	0.195132	+	0.980777i	$0.437487\pi$
$978$	−8.93779	+	26.4478i	−0.285799	+	0.845708i
$979$	46.6318	+	72.5605i	1.49036	+	2.31904i
$980$	0.435228	−	5.38923i	0.0139029	−	0.172153i
$981$	−12.3940	−	5.66016i	−0.395711	−	0.180715i
$982$	−1.58050	+	0.927965i	−0.0504356	+	0.0296126i
$983$	29.1517	−	8.55973i	0.929796	−	0.273013i	0.218445	−	0.975849i	$-0.429902\pi$
$983$	29.1517	−	8.55973i	0.929796	−	0.273013i	0.711351	+	0.702836i	$0.248083\pi$
$984$	11.3549	+	9.41131i	0.361982	+	0.300021i
$985$	1.72610	−	5.87856i	0.0549982	−	0.187307i
$986$	−17.9496	−	0.723615i	−0.571630	−	0.0230446i
$987$	1.05629	−	7.34663i	0.0336220	−	0.233846i
$988$	13.3647	+	18.1991i	0.425186	+	0.578991i
$989$	−23.1100	−	4.59263i	−0.734856	−	0.146037i
$990$	1.59262	−	3.14548i	0.0506168	−	0.0999698i
$991$	−42.5249	−	6.11416i	−1.35085	−	0.194223i	−0.571392	−	0.820678i	$-0.693596\pi$
$991$	−42.5249	−	6.11416i	−1.35085	−	0.194223i	−0.779458	+	0.626455i	$0.784505\pi$
$992$	−11.3749	+	31.7259i	−0.361154	+	1.00730i
$993$	23.2907	+	6.83878i	0.739109	+	0.217022i
$994$	2.47808	−	0.620385i	0.0785999	−	0.0196774i
$995$	−1.70711	−	5.81389i	−0.0541191	−	0.184313i
$996$	24.2034	−	1.50778i	0.766913	−	0.0477757i
$997$	12.4462	−	27.2534i	0.394176	−	0.863124i	−0.603652	−	0.797248i	$-0.706288\pi$
$997$	12.4462	−	27.2534i	0.394176	−	0.863124i	0.997828	−	0.0658763i	$-0.0209843\pi$
$998$	15.0186	+	36.7343i	0.475405	+	1.16280i
$999$	8.30739	−	5.33884i	0.262834	−	0.168913i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	276.2.m.a.199.18	yes	240
3.2	odd	2		828.2.u.c.199.7		240
4.3	odd	2	inner	276.2.m.a.199.9	yes	240
12.11	even	2		828.2.u.c.199.16		240
23.20	odd	22	inner	276.2.m.a.43.9	✓	240
69.20	even	22		828.2.u.c.595.16		240
92.43	even	22	inner	276.2.m.a.43.18	yes	240
276.227	odd	22		828.2.u.c.595.7		240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
276.2.m.a.43.9	✓	240	23.20	odd	22	inner
276.2.m.a.43.18	yes	240	92.43	even	22	inner
276.2.m.a.199.9	yes	240	4.3	odd	2	inner
276.2.m.a.199.18	yes	240	1.1	even	1	trivial
828.2.u.c.199.7		240	3.2	odd	2
828.2.u.c.199.16		240	12.11	even	2
828.2.u.c.595.7		240	276.227	odd	22
828.2.u.c.595.16		240	69.20	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)

\(f(q)\)	\(=\)	\(q+(0.811884 - 1.15795i) q^{2} +(0.909632 - 0.415415i) q^{3} +(-0.681689 - 1.88024i) q^{4} +(-0.332018 + 0.287695i) q^{5} +(0.257486 - 1.39058i) q^{6} +(0.773979 + 0.497406i) q^{7} +(-2.73067 - 0.737175i) q^{8} +(0.654861 - 0.755750i) q^{9} +O(q^{10})\)	\(q+(0.811884 - 1.15795i) q^{2} +(0.909632 - 0.415415i) q^{3} +(-0.681689 - 1.88024i) q^{4} +(-0.332018 + 0.287695i) q^{5} +(0.257486 - 1.39058i) q^{6} +(0.773979 + 0.497406i) q^{7} +(-2.73067 - 0.737175i) q^{8} +(0.654861 - 0.755750i) q^{9} +(0.0635761 + 0.618034i) q^{10} +(-0.807599 - 5.61697i) q^{11} +(-1.40117 - 1.42714i) q^{12} +(3.81918 - 2.45443i) q^{13} +(1.20435 - 0.492392i) q^{14} +(-0.182501 + 0.399622i) q^{15} +(-3.07060 + 2.56348i) q^{16} +(2.20459 + 7.50816i) q^{17} +(-0.343448 - 1.37188i) q^{18} +(-2.38604 - 0.700606i) q^{19} +(0.767268 + 0.428154i) q^{20} +(0.910666 + 0.130934i) q^{21} +(-7.15984 - 3.62517i) q^{22} +(-2.80436 + 3.89044i) q^{23} +(-2.79014 + 0.463804i) q^{24} +(-0.684107 + 4.75807i) q^{25} +(0.258618 - 6.41512i) q^{26} +(0.281733 - 0.959493i) q^{27} +(0.407630 - 1.79434i) q^{28} +(-1.55755 + 0.457338i) q^{29} +(0.314571 + 0.535773i) q^{30} +(5.41958 + 2.47504i) q^{31} +(0.475403 + 5.63684i) q^{32} +(-3.06799 - 4.77389i) q^{33} +(10.4839 + 3.54295i) q^{34} +(-0.400076 + 0.0575222i) q^{35} +(-1.86740 - 0.716109i) q^{36} +(7.46304 + 6.46676i) q^{37} +(-2.74846 + 2.19410i) q^{38} +(2.45443 - 3.81918i) q^{39} +(1.11871 - 0.540845i) q^{40} +(-3.41461 - 3.94067i) q^{41} +(0.890970 - 0.948201i) q^{42} +(2.04094 + 4.46903i) q^{43} +(-10.0107 + 5.34751i) q^{44} +0.439322i q^{45} +(2.22811 + 6.40590i) q^{46} -8.06732i q^{47} +(-1.72821 + 3.60739i) q^{48} +(-2.55627 - 5.59746i) q^{49} +(4.95418 + 4.65516i) q^{50} +(5.12437 + 5.91384i) q^{51} +(-7.21841 - 5.50780i) q^{52} +(-3.20320 + 4.98427i) q^{53} +(-0.882309 - 1.10523i) q^{54} +(1.88411 + 1.63259i) q^{55} +(-1.74681 - 1.92881i) q^{56} +(-2.46146 + 0.353905i) q^{57} +(-0.734975 + 2.17487i) q^{58} +(-4.00703 - 6.23506i) q^{59} +(0.875793 + 0.0707281i) q^{60} +(4.87919 + 2.22825i) q^{61} +(7.26603 - 4.26615i) q^{62} +(0.882763 - 0.259203i) q^{63} +(6.91314 + 4.02597i) q^{64} +(-0.561905 + 1.91367i) q^{65} +(-8.01877 - 0.323267i) q^{66} +(0.144734 - 1.00665i) q^{67} +(12.6143 - 9.26339i) q^{68} +(-0.934790 + 4.70385i) q^{69} +(-0.258207 + 0.509969i) q^{70} +(1.94337 + 0.279414i) q^{71} +(-2.34533 + 1.58096i) q^{72} +(-3.25999 - 0.957219i) q^{73} +(13.5473 - 3.39156i) q^{74} +(1.35429 + 4.61228i) q^{75} +(0.309233 + 4.96393i) q^{76} +(2.16885 - 4.74912i) q^{77} +(-2.42969 - 5.94284i) q^{78} +(-3.01759 + 1.93929i) q^{79} +(0.281994 - 1.73452i) q^{80} +(-0.142315 - 0.989821i) q^{81} +(-7.33535 + 0.754575i) q^{82} +(-7.94028 + 9.16357i) q^{83} +(-0.374604 - 1.80153i) q^{84} +(-2.89202 - 1.85859i) q^{85} +(6.83191 + 1.26503i) q^{86} +(-1.22681 + 1.06304i) q^{87} +(-1.93541 + 15.9335i) q^{88} +(-13.8259 + 6.31408i) q^{89} +(0.508713 + 0.356679i) q^{90} +4.17681 q^{91} +(9.22667 + 2.62080i) q^{92} +5.95799 q^{93} +(-9.34154 - 6.54973i) q^{94} +(0.993769 - 0.453839i) q^{95} +(2.77407 + 4.92996i) q^{96} +(3.65793 - 3.16961i) q^{97} +(-8.55697 - 1.58445i) q^{98} +(-4.77389 - 3.06799i) 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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