LMFDB - Embedded newform 153.2.n.a.106.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [153,2,Mod(4,153)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(153, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([4, 9]))

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

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

chi := DirichletCharacter("153.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 153 = 3^{2} \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	153.n (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.22171115093$
Analytic rank:	$0$
Dimension:	$64$
Relative dimension:	$16$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			106.7
Character	$\chi$	$=$	153.106
Dual form			153.2.n.a.13.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.268917 - 0.155259i) q^{2} +(-0.546341 - 1.64363i) q^{3} +(-0.951789 - 1.64855i) q^{4} +(-0.355051 - 0.0951356i) q^{5} +(-0.108268 + 0.526823i) q^{6} +(-3.67243 + 0.984025i) q^{7} +1.21213i q^{8} +(-2.40302 + 1.79596i) q^{9} +O(q^{10})$	\(q+(-0.268917 - 0.155259i) q^{2} +(-0.546341 - 1.64363i) q^{3} +(-0.951789 - 1.64855i) q^{4} +(-0.355051 - 0.0951356i) q^{5} +(-0.108268 + 0.526823i) q^{6} +(-3.67243 + 0.984025i) q^{7} +1.21213i q^{8} +(-2.40302 + 1.79596i) q^{9} +(0.0807084 + 0.0807084i) q^{10} +(3.38178 - 0.906145i) q^{11} +(-2.18960 + 2.46506i) q^{12} +(-1.06595 - 1.84629i) q^{13} +(1.14036 + 0.305558i) q^{14} +(0.0376113 + 0.635548i) q^{15} +(-1.71538 + 2.97113i) q^{16} +(0.919429 - 4.01928i) q^{17} +(0.925052 - 0.109873i) q^{18} -6.27248i q^{19} +(0.181098 + 0.675867i) q^{20} +(3.62377 + 5.49850i) q^{21} +(-1.05010 - 0.281375i) q^{22} +(1.95036 - 7.27885i) q^{23} +(1.99229 - 0.662237i) q^{24} +(-4.21312 - 2.43244i) q^{25} +0.661997i q^{26} +(4.26476 + 2.96847i) q^{27} +(5.11759 + 5.11759i) q^{28} +(1.62310 + 6.05748i) q^{29} +(0.0885603 - 0.176749i) q^{30} +(3.58549 + 0.960730i) q^{31} +(3.02207 - 1.74479i) q^{32} +(-3.33697 - 5.06332i) q^{33} +(-0.871280 + 0.938103i) q^{34} +1.39752 q^{35} +(5.24790 + 2.25212i) q^{36} +(-1.55635 + 1.55635i) q^{37} +(-0.973860 + 1.68677i) q^{38} +(-2.45224 + 2.76074i) q^{39} +(0.115317 - 0.430368i) q^{40} +(-1.46261 + 5.45852i) q^{41} +(-0.120800 - 2.04126i) q^{42} +(-2.10555 - 1.21564i) q^{43} +(-4.71257 - 4.71257i) q^{44} +(1.02405 - 0.409045i) q^{45} +(-1.65459 + 1.65459i) q^{46} +(2.72503 - 4.71989i) q^{47} +(5.82062 + 1.19620i) q^{48} +(6.45628 - 3.72753i) q^{49} +(0.755318 + 1.30825i) q^{50} +(-7.10853 + 0.684701i) q^{51} +(-2.02913 + 3.51455i) q^{52} +12.5815i q^{53} +(-0.685984 - 1.46041i) q^{54} -1.28691 q^{55} +(-1.19277 - 4.45147i) q^{56} +(-10.3096 + 3.42691i) q^{57} +(0.504001 - 1.88096i) q^{58} +(1.45821 - 0.841895i) q^{59} +(1.01193 - 0.666911i) q^{60} +(10.6807 - 2.86189i) q^{61} +(-0.815037 - 0.815037i) q^{62} +(7.05767 - 8.96018i) q^{63} +5.77796 q^{64} +(0.202820 + 0.756936i) q^{65} +(0.111240 + 1.87971i) q^{66} +(-5.09236 - 8.82022i) q^{67} +(-7.50108 + 2.30979i) q^{68} +(-13.0293 + 0.771064i) q^{69} +(-0.375815 - 0.216977i) q^{70} +(5.69189 - 5.69189i) q^{71} +(-2.17694 - 2.91278i) q^{72} +(0.753771 - 0.753771i) q^{73} +(0.660166 - 0.176891i) q^{74} +(-1.69623 + 8.25374i) q^{75} +(-10.3405 + 5.97008i) q^{76} +(-11.5277 + 6.65551i) q^{77} +(1.08808 - 0.361676i) q^{78} +(-1.48829 + 0.398785i) q^{79} +(0.891709 - 0.891709i) q^{80} +(2.54904 - 8.63148i) q^{81} +(1.24080 - 1.24080i) q^{82} +(-6.88303 - 3.97392i) q^{83} +(5.61547 - 11.2074i) q^{84} +(-0.708821 + 1.33958i) q^{85} +(0.377478 + 0.653811i) q^{86} +(9.06947 - 5.97721i) q^{87} +(1.09837 + 4.09917i) q^{88} -3.46826 q^{89} +(-0.338893 - 0.0489950i) q^{90} +(5.73144 + 5.73144i) q^{91} +(-13.8559 + 3.71267i) q^{92} +(-0.379819 - 6.41810i) q^{93} +(-1.46561 + 0.846172i) q^{94} +(-0.596736 + 2.22705i) q^{95} +(-4.51886 - 4.01390i) q^{96} +(0.810461 + 3.02468i) q^{97} -2.31493 q^{98} +(-6.49909 + 8.25104i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 64 q - 6 q^{3} + 24 q^{4} - 2 q^{5} - 10 q^{6} - 2 q^{7}+O(q^{10}) $ 64 * q - 6 * q^3 + 24 * q^4 - 2 * q^5 - 10 * q^6 - 2 * q^7	$ 64 q - 6 q^{3} + 24 q^{4} - 2 q^{5} - 10 q^{6} - 2 q^{7} - 16 q^{10} - 24 q^{12} - 4 q^{13} - 16 q^{16} - 8 q^{17} - 8 q^{18} + 18 q^{20} - 16 q^{21} - 4 q^{22} - 8 q^{23} - 2 q^{24} - 10 q^{29} - 36 q^{30} - 2 q^{31} + 12 q^{33} + 20 q^{34} - 128 q^{35} - 8 q^{37} - 24 q^{38} + 34 q^{39} - 20 q^{40} + 32 q^{41} + 20 q^{44} + 20 q^{45} - 40 q^{46} - 64 q^{47} + 62 q^{48} + 48 q^{50} + 40 q^{51} + 36 q^{52} - 46 q^{54} - 16 q^{55} + 12 q^{56} + 72 q^{57} - 10 q^{58} - 2 q^{61} - 28 q^{62} + 64 q^{63} - 8 q^{64} + 8 q^{65} - 4 q^{67} - 60 q^{68} - 24 q^{69} - 84 q^{71} + 72 q^{72} - 44 q^{73} - 14 q^{74} + 46 q^{75} - 56 q^{78} + 10 q^{79} + 204 q^{80} + 44 q^{81} - 52 q^{82} - 60 q^{84} + 22 q^{85} + 32 q^{86} + 16 q^{88} + 128 q^{89} - 66 q^{90} + 44 q^{91} + 136 q^{92} + 4 q^{95} - 2 q^{96} - 44 q^{97} + 208 q^{98} + 6 q^{99}+O(q^{100}) $ 64 * q - 6 * q^3 + 24 * q^4 - 2 * q^5 - 10 * q^6 - 2 * q^7 - 16 * q^10 - 24 * q^12 - 4 * q^13 - 16 * q^16 - 8 * q^17 - 8 * q^18 + 18 * q^20 - 16 * q^21 - 4 * q^22 - 8 * q^23 - 2 * q^24 - 10 * q^29 - 36 * q^30 - 2 * q^31 + 12 * q^33 + 20 * q^34 - 128 * q^35 - 8 * q^37 - 24 * q^38 + 34 * q^39 - 20 * q^40 + 32 * q^41 + 20 * q^44 + 20 * q^45 - 40 * q^46 - 64 * q^47 + 62 * q^48 + 48 * q^50 + 40 * q^51 + 36 * q^52 - 46 * q^54 - 16 * q^55 + 12 * q^56 + 72 * q^57 - 10 * q^58 - 2 * q^61 - 28 * q^62 + 64 * q^63 - 8 * q^64 + 8 * q^65 - 4 * q^67 - 60 * q^68 - 24 * q^69 - 84 * q^71 + 72 * q^72 - 44 * q^73 - 14 * q^74 + 46 * q^75 - 56 * q^78 + 10 * q^79 + 204 * q^80 + 44 * q^81 - 52 * q^82 - 60 * q^84 + 22 * q^85 + 32 * q^86 + 16 * q^88 + 128 * q^89 - 66 * q^90 + 44 * q^91 + 136 * q^92 + 4 * q^95 - 2 * q^96 - 44 * q^97 + 208 * q^98 + 6 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/153\mathbb{Z}\right)^\times$.

$n$	$37$	$137$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{2}{3}\right)$

Coefficient data

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

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

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

$2$	−0.268917	−	0.155259i	−0.190153	−	0.109785i	0.401901	−	0.915683i	$-0.368349\pi$
$2$	−0.268917	−	0.155259i	−0.190153	−	0.109785i	−0.592054	+	0.805898i	$0.701683\pi$
$3$	−0.546341	−	1.64363i	−0.315430	−	0.948949i
$3$	−0.546341	−	1.64363i	−0.315430	−	0.948949i
$4$	−0.951789	−	1.64855i	−0.475895	−	0.824274i
$5$	−0.355051	−	0.0951356i	−0.158784	−	0.0425459i	0.178552	−	0.983931i	$-0.442859\pi$
$5$	−0.355051	−	0.0951356i	−0.158784	−	0.0425459i	−0.337335	+	0.941385i	$0.609526\pi$
$6$	−0.108268	+	0.526823i	−0.0442002	+	0.215075i
$7$	−3.67243	+	0.984025i	−1.38805	+	0.371927i	−0.874038	−	0.485857i	$-0.838508\pi$
$7$	−3.67243	+	0.984025i	−1.38805	+	0.371927i	−0.514011	+	0.857784i	$0.671841\pi$
$8$			1.21213i			0.428553i
$9$	−2.40302	+	1.79596i	−0.801008	+	0.598654i
$10$	0.0807084	+	0.0807084i	0.0255222	+	0.0255222i
$11$	3.38178	−	0.906145i	1.01965	−	0.273213i	0.289991	−	0.957029i	$-0.406348\pi$
$11$	3.38178	−	0.906145i	1.01965	−	0.273213i	0.729654	+	0.683816i	$0.239681\pi$
$12$	−2.18960	+	2.46506i	−0.632082	+	0.711600i
$13$	−1.06595	−	1.84629i	−0.295643	−	0.512068i	0.679492	−	0.733683i	$-0.262200\pi$
$13$	−1.06595	−	1.84629i	−0.295643	−	0.512068i	−0.975134	+	0.221615i	$0.928867\pi$
$14$	1.14036	+	0.305558i	0.304773	+	0.0816638i
$15$	0.0376113	+	0.635548i	0.00971119	+	0.164098i
$16$	−1.71538	+	2.97113i	−0.428846	+	0.742783i
$17$	0.919429	−	4.01928i	0.222994	−	0.974820i
$17$	0.919429	−	4.01928i	0.222994	−	0.974820i
$18$	0.925052	−	0.109873i	0.218037	−	0.0258973i
$19$		−	6.27248i		−	1.43901i	−0.694490	−	0.719503i	$-0.744370\pi$
$19$		−	6.27248i		−	1.43901i	0.694490	−	0.719503i	$-0.255630\pi$
$20$	0.181098	+	0.675867i	0.0404947	+	0.151128i
$21$	3.62377	+	5.49850i	0.790772	+	1.19987i
$22$	−1.05010	−	0.281375i	−0.223883	−	0.0599893i
$23$	1.95036	−	7.27885i	0.406678	−	1.51774i	−0.394261	−	0.918999i	$-0.628999\pi$
$23$	1.95036	−	7.27885i	0.406678	−	1.51774i	0.800939	−	0.598746i	$-0.204334\pi$
$24$	1.99229	−	0.662237i	0.406675	−	0.135179i
$25$	−4.21312	−	2.43244i	−0.842623	−	0.486489i
$26$			0.661997i			0.129828i
$27$	4.26476	+	2.96847i	0.820754	+	0.571282i
$28$	5.11759	+	5.11759i	0.967134	+	0.967134i
$29$	1.62310	+	6.05748i	0.301401	+	1.12484i	0.935999	+	0.352002i	$0.114499\pi$
$29$	1.62310	+	6.05748i	0.301401	+	1.12484i	−0.634598	+	0.772843i	$0.718834\pi$
$30$	0.0885603	−	0.176749i	0.0161688	−	0.0322698i
$31$	3.58549	+	0.960730i	0.643974	+	0.172552i	0.566003	−	0.824403i	$-0.308489\pi$
$31$	3.58549	+	0.960730i	0.643974	+	0.172552i	0.0779709	+	0.996956i	$0.475156\pi$
$32$	3.02207	−	1.74479i	0.534231	−	0.308438i
$33$	−3.33697	−	5.06332i	−0.580892	−	0.881411i
$34$	−0.871280	+	0.938103i	−0.149423	+	0.160883i
$35$	1.39752			0.236223
$36$	5.24790	+	2.25212i	0.874650	+	0.375353i
$37$	−1.55635	+	1.55635i	−0.255862	+	0.255862i	−0.823369	−	0.567507i	$-0.807908\pi$
$37$	−1.55635	+	1.55635i	−0.255862	+	0.255862i	0.567507	+	0.823369i	$0.307908\pi$
$38$	−0.973860	+	1.68677i	−0.157981	+	0.273631i
$39$	−2.45224	+	2.76074i	−0.392672	+	0.442071i
$40$	0.115317	−	0.430368i	0.0182332	−	0.0680472i
$41$	−1.46261	+	5.45852i	−0.228421	+	0.852478i	0.752584	+	0.658496i	$0.228807\pi$
$41$	−1.46261	+	5.45852i	−0.228421	+	0.852478i	−0.981005	+	0.193982i	$0.937860\pi$
$42$	−0.120800	−	2.04126i	−0.0186399	−	0.314973i
$43$	−2.10555	−	1.21564i	−0.321093	−	0.185383i	0.330787	−	0.943706i	$-0.392686\pi$
$43$	−2.10555	−	1.21564i	−0.321093	−	0.185383i	−0.651880	+	0.758323i	$0.726019\pi$
$44$	−4.71257	−	4.71257i	−0.710446	−	0.710446i
$45$	1.02405	−	0.409045i	0.152657	−	0.0609768i
$46$	−1.65459	+	1.65459i	−0.243956	+	0.243956i
$47$	2.72503	−	4.71989i	0.397487	−	0.688467i	−0.595929	−	0.803037i	$-0.703216\pi$
$47$	2.72503	−	4.71989i	0.397487	−	0.688467i	0.993415	+	0.114571i	$0.0365492\pi$
$48$	5.82062	+	1.19620i	0.840134	+	0.172657i
$49$	6.45628	−	3.72753i	0.922325	−	0.532505i
$50$	0.755318	+	1.30825i	0.106818	+	0.185014i
$51$	−7.10853	+	0.684701i	−0.995393	+	0.0958773i
$52$	−2.02913	+	3.51455i	−0.281390	+	0.487381i
$53$			12.5815i			1.72821i	0.503315	+	0.864103i	$0.332114\pi$
$53$			12.5815i			1.72821i	−0.503315	+	0.864103i	$0.667886\pi$
$54$	−0.685984	−	1.46041i	−0.0933506	−	0.198737i
$55$	−1.28691			−0.173527
$56$	−1.19277	−	4.45147i	−0.159390	−	0.594853i
$57$	−10.3096	+	3.42691i	−1.36554	+	0.453906i
$58$	0.504001	−	1.88096i	0.0661785	−	0.246982i
$59$	1.45821	−	0.841895i	0.189842	−	0.109605i	−0.402066	−	0.915610i	$-0.631708\pi$
$59$	1.45821	−	0.841895i	0.189842	−	0.109605i	0.591909	+	0.806005i	$0.298375\pi$
$60$	1.01193	−	0.666911i	0.130640	−	0.0860979i
$61$	10.6807	−	2.86189i	1.36753	−	0.366427i	0.500951	−	0.865476i	$-0.332984\pi$
$61$	10.6807	−	2.86189i	1.36753	−	0.366427i	0.866574	+	0.499048i	$0.166317\pi$
$62$	−0.815037	−	0.815037i	−0.103510	−	0.103510i
$63$	7.05767	−	8.96018i	0.889183	−	1.12888i
$64$	5.77796			0.722245
$65$	0.202820	+	0.756936i	0.0251568	+	0.0938864i
$66$	0.111240	+	1.87971i	0.0136927	+	0.231376i
$67$	−5.09236	−	8.82022i	−0.622130	−	1.07756i	−0.989088	−	0.147324i	$-0.952934\pi$
$67$	−5.09236	−	8.82022i	−0.622130	−	1.07756i	0.366958	−	0.930238i	$-0.380399\pi$
$68$	−7.50108	+	2.30979i	−0.909640	+	0.280103i
$69$	−13.0293	+	0.771064i	−1.56854	+	0.0928252i
$70$	−0.375815	−	0.216977i	−0.0449185	−	0.0259337i
$71$	5.69189	−	5.69189i	0.675503	−	0.675503i	−0.283476	−	0.958979i	$-0.591488\pi$
$71$	5.69189	−	5.69189i	0.675503	−	0.675503i	0.958979	+	0.283476i	$0.0914876\pi$
$72$	−2.17694	−	2.91278i	−0.256555	−	0.343275i
$73$	0.753771	−	0.753771i	0.0882222	−	0.0882222i	−0.661618	−	0.749841i	$-0.730130\pi$
$73$	0.753771	−	0.753771i	0.0882222	−	0.0882222i	0.749841	+	0.661618i	$0.230130\pi$
$74$	0.660166	−	0.176891i	0.0767427	−	0.0205632i
$75$	−1.69623	+	8.25374i	−0.195864	+	0.953060i
$76$	−10.3405	+	5.97008i	−1.18613	+	0.684815i
$77$	−11.5277	+	6.65551i	−1.31370	+	0.758466i
$78$	1.08808	−	0.361676i	0.123200	−	0.0409517i
$79$	−1.48829	+	0.398785i	−0.167445	+	0.0448669i	−0.341568	−	0.939857i	$-0.610958\pi$
$79$	−1.48829	+	0.398785i	−0.167445	+	0.0448669i	0.174122	+	0.984724i	$0.444291\pi$
$80$	0.891709	−	0.891709i	0.0996960	−	0.0996960i
$81$	2.54904	−	8.63148i	0.283227	−	0.959053i
$82$	1.24080	−	1.24080i	0.137024	−	0.137024i
$83$	−6.88303	−	3.97392i	−0.755511	−	0.436194i	0.0721709	−	0.997392i	$-0.477007\pi$
$83$	−6.88303	−	3.97392i	−0.755511	−	0.436194i	−0.827682	+	0.561198i	$0.810341\pi$
$84$	5.61547	−	11.2074i	0.612698	−	1.22282i
$85$	−0.708821	+	1.33958i	−0.0768824	+	0.145298i
$86$	0.377478	+	0.653811i	0.0407045	+	0.0705022i
$87$	9.06947	−	5.97721i	0.972349	−	0.640824i
$88$	1.09837	+	4.09917i	0.117086	+	0.436972i
$89$	−3.46826			−0.367635			−0.183817	−	0.982960i	$-0.558846\pi$
$89$	−3.46826			−0.367635			−0.183817	+	0.982960i	$0.558846\pi$
$90$	−0.338893	−	0.0489950i	−0.0357225	−	0.00516452i
$91$	5.73144	+	5.73144i	0.600818	+	0.600818i
$92$	−13.8559	+	3.71267i	−1.44457	+	0.387072i
$93$	−0.379819	−	6.41810i	−0.0393854	−	0.665526i
$94$	−1.46561	+	0.846172i	−0.151166	+	0.0872759i
$95$	−0.596736	+	2.22705i	−0.0612238	+	0.228490i
$96$	−4.51886	−	4.01390i	−0.461205	−	0.409667i
$97$	0.810461	+	3.02468i	0.0822899	+	0.307110i	0.994787	−	0.101973i	$-0.0325154\pi$
$97$	0.810461	+	3.02468i	0.0822899	+	0.307110i	−0.912497	+	0.409083i	$0.865849\pi$
$98$	−2.31493			−0.233844
$99$	−6.49909	+	8.25104i	−0.653184	+	0.829260i
$100$			9.26070i			0.926070i
$101$	1.64418	−	2.84780i	0.163602	−	0.283366i	−0.772556	−	0.634946i	$-0.781022\pi$
$101$	1.64418	−	2.84780i	0.163602	−	0.283366i	0.936158	+	0.351580i	$0.114355\pi$
$102$	2.01791	+	0.919536i	0.199803	+	0.0910477i
$103$	4.45137	+	7.70999i	0.438606	+	0.759688i	0.997582	−	0.0694955i	$-0.0221390\pi$
$103$	4.45137	+	7.70999i	0.438606	+	0.759688i	−0.558976	+	0.829184i	$0.688806\pi$
$104$	2.23795	−	1.29208i	0.219449	−	0.126699i
$105$	−0.763520	−	2.29700i	−0.0745119	−	0.224164i
$106$	1.95340	−	3.38338i	0.189731	−	0.328623i
$107$	−3.95431	+	3.95431i	−0.382278	+	0.382278i	−0.871922	−	0.489645i	$-0.837127\pi$
$107$	−3.95431	+	3.95431i	−0.382278	+	0.382278i	0.489645	+	0.871922i	$0.337127\pi$
$108$	0.834506	−	9.85602i	0.0803003	−	0.948396i
$109$	2.51291	+	2.51291i	0.240694	+	0.240694i	0.817137	−	0.576443i	$-0.195560\pi$
$109$	2.51291	+	2.51291i	0.240694	+	0.240694i	−0.576443	+	0.817137i	$0.695560\pi$
$110$	0.346072	+	0.199805i	0.0329966	+	0.0190506i
$111$	3.40836	+	1.70776i	0.323507	+	0.162094i
$112$	3.37596	−	12.5993i	0.318998	−	1.19052i
$113$	0.594104	−	2.21723i	0.0558886	−	0.208579i	−0.932335	−	0.361596i	$-0.882232\pi$
$113$	0.594104	−	2.21723i	0.0558886	−	0.208579i	0.988224	+	0.153016i	$0.0488988\pi$
$114$	3.30449	+	0.679109i	0.309494	+	0.0636044i
$115$	−1.38495	+	2.39881i	−0.129148	+	0.223690i
$116$	8.44119	−	8.44119i	0.783745	−	0.783745i
$117$	5.87738	+	2.52226i	0.543364	+	0.233183i
$118$	−0.522848			−0.0481320
$119$	0.578538	+	15.6653i	0.0530344	+	1.43604i
$120$	−0.770368	+	0.0455899i	−0.0703246	+	0.00416177i
$121$	1.08906	−	0.628769i	0.0990054	−	0.0571608i
$122$	−3.31656	−	0.888669i	−0.300267	−	0.0804563i
$123$	9.77086	−	0.578233i	0.881008	−	0.0521375i
$124$	−1.82882	−	6.82527i	−0.164233	−	0.612927i
$125$	2.56403	+	2.56403i	0.229334	+	0.229334i
$126$	−3.28908	+	1.31378i	−0.293014	+	0.117040i
$127$			2.29209i			0.203390i	0.994816	+	0.101695i	$0.0324265\pi$
$127$			2.29209i			0.203390i	−0.994816	+	0.101695i	$0.967573\pi$
$128$	−7.59792	−	4.38666i	−0.671568	−	0.387730i
$129$	−0.847710	+	4.12489i	−0.0746367	+	0.363176i
$130$	0.0629794	−	0.235042i	0.00552366	−	0.0206146i
$131$	15.2701	+	4.09161i	1.33415	+	0.357486i	0.854262	−	0.519842i	$-0.174009\pi$
$131$	15.2701	+	4.09161i	1.33415	+	0.357486i	0.479892	+	0.877328i	$0.340676\pi$
$132$	−5.17104	+	10.3204i	−0.450081	+	0.898273i
$133$	6.17228	+	23.0353i	0.535204	+	1.99741i
$134$			3.16254i			0.273202i
$135$	−1.23180	−	1.45969i	−0.106016	−	0.125630i
$136$	4.87190	+	1.11447i	0.417762	+	0.0955650i
$137$	8.72662	−	15.1149i	0.745565	−	1.29136i	−0.204365	−	0.978895i	$-0.565513\pi$
$137$	8.72662	−	15.1149i	0.745565	−	1.29136i	0.949930	−	0.312462i	$-0.101154\pi$
$138$	3.62350	+	1.81556i	0.308453	+	0.154551i
$139$	−1.20863	−	0.323851i	−0.102514	−	0.0274687i	0.207197	−	0.978299i	$-0.433566\pi$
$139$	−1.20863	−	0.323851i	−0.102514	−	0.0274687i	−0.309712	+	0.950831i	$0.600233\pi$
$140$	−1.33014	−	2.30387i	−0.112417	−	0.194713i
$141$	−9.24654	−	1.90027i	−0.778699	−	0.160031i
$142$	−2.41436	+	0.646927i	−0.202609	+	0.0542889i
$143$	−5.27783	−	5.27783i	−0.441354	−	0.441354i
$144$	−1.21393	−	10.2205i	−0.101161	−	0.851705i
$145$		−	2.30513i		−	0.191430i
$146$	−0.319731	+	0.0856718i	−0.0264612	+	0.00709025i
$147$	−9.65400	−	8.57521i	−0.796249	−	0.707271i
$148$	4.04703	+	1.08440i	0.332664	+	0.0891371i
$149$	−0.0933541	−	0.161694i	−0.00764787	−	0.0132465i	0.862176	−	0.506609i	$-0.169101\pi$
$149$	−0.0933541	−	0.161694i	−0.00764787	−	0.0132465i	−0.869824	+	0.493362i	$0.835768\pi$
$150$	1.73761	−	1.95621i	0.141876	−	0.159724i
$151$	2.85870	+	1.65047i	0.232638	+	0.134314i	0.611788	−	0.791021i	$-0.290450\pi$
$151$	2.85870	+	1.65047i	0.232638	+	0.134314i	−0.379150	+	0.925335i	$0.623784\pi$
$152$	7.60307			0.616691
$153$	5.00907	+	11.3097i	0.404960	+	0.914335i
$154$	4.13332			0.333072
$155$	−1.18163	−	0.682216i	−0.0949110	−	0.0547969i
$156$	6.88521	+	1.41499i	0.551258	+	0.113290i
$157$	−10.6491	−	18.4449i	−0.849895	−	1.47206i	−0.881302	−	0.472554i	$-0.843332\pi$
$157$	−10.6491	−	18.4449i	−0.849895	−	1.47206i	0.0314073	−	0.999507i	$-0.490001\pi$
$158$	0.462140	+	0.123830i	0.0367659	+	0.00985140i
$159$	20.6794	−	6.87381i	1.63998	−	0.545128i
$160$	−1.23898	+	0.331983i	−0.0979498	+	0.0262456i
$161$			28.6503i			2.25796i
$162$	−2.02560	+	1.92539i	−0.159146	+	0.151273i
$163$	−10.6889	−	10.6889i	−0.837220	−	0.837220i	0.151272	−	0.988492i	$-0.451663\pi$
$163$	−10.6889	−	10.6889i	−0.837220	−	0.837220i	−0.988492	+	0.151272i	$0.951663\pi$
$164$	10.3907	−	2.78419i	0.811379	−	0.217408i
$165$	0.703092	+	2.11520i	0.0547356	+	0.164668i
$166$	1.23397	+	2.13731i	0.0957750	+	0.165887i
$167$	4.27362	+	1.14511i	0.330702	+	0.0886114i	0.420350	−	0.907362i	$-0.361907\pi$
$167$	4.27362	+	1.14511i	0.330702	+	0.0886114i	−0.0896475	+	0.995974i	$0.528574\pi$
$168$	−6.66491	+	4.39249i	−0.514209	+	0.338888i
$169$	4.22748	−	7.32221i	0.325191	−	0.563247i
$170$	0.398596	−	0.250184i	0.0305709	−	0.0191883i
$171$	11.2651	+	15.0729i	0.861466	+	1.15265i
$172$			4.62812i			0.352891i
$173$	3.82628	+	14.2799i	0.290907	+	1.08568i	0.944414	+	0.328758i	$0.106630\pi$
$173$	3.82628	+	14.2799i	0.290907	+	1.08568i	−0.653508	+	0.756920i	$0.726703\pi$
$174$	−3.36695	+	0.199254i	−0.255248	+	0.0151054i
$175$	17.8660	+	4.78717i	1.35054	+	0.361876i
$176$	−3.10877	+	11.6021i	−0.234333	+	0.874541i
$177$	−2.18044	−	1.93678i	−0.163892	−	0.145578i
$178$	0.932673	+	0.538479i	0.0699068	+	0.0403607i
$179$		−	16.4882i		−	1.23239i	−0.787594	−	0.616195i	$-0.788674\pi$
$179$		−	16.4882i		−	1.23239i	0.787594	−	0.616195i	$-0.211326\pi$
$180$	−1.64901	−	1.29888i	−0.122910	−	0.0968127i
$181$	−6.00290	−	6.00290i	−0.446192	−	0.446192i	0.447894	−	0.894086i	$-0.352174\pi$
$181$	−6.00290	−	6.00290i	−0.446192	−	0.446192i	−0.894086	+	0.447894i	$0.852174\pi$
$182$	−0.651422	−	2.43114i	−0.0482866	−	0.180208i
$183$	−10.5392	−	15.9916i	−0.779079	−	1.18213i
$184$	8.82293	+	2.36410i	0.650435	+	0.174283i
$185$	0.700647	−	0.404519i	0.0515126	−	0.0297408i
$186$	−0.894329	+	1.78490i	−0.0655754	+	0.130876i
$187$	−0.532750	−	14.4255i	−0.0389585	−	1.05490i
$188$	−10.3746			−0.756647
$189$	−18.5831	−	6.70486i	−1.35172	−	0.487707i
$190$	0.506242	−	0.506242i	0.0367266	−	0.0367266i
$191$	−11.1602	+	19.3300i	−0.807522	+	1.39867i	0.107054	+	0.994253i	$0.465858\pi$
$191$	−11.1602	+	19.3300i	−0.807522	+	1.39867i	−0.914575	+	0.404415i	$0.867475\pi$
$192$	−3.15673	−	9.49681i	−0.227818	−	0.685373i
$193$	−4.16392	+	15.5400i	−0.299725	+	1.11859i	0.637666	+	0.770313i	$0.279900\pi$
$193$	−4.16392	+	15.5400i	−0.299725	+	1.11859i	−0.937392	+	0.348277i	$0.886767\pi$
$194$	0.251663	−	0.939219i	0.0180684	−	0.0674320i
$195$	1.13331	−	0.746906i	0.0811582	−	0.0534871i
$196$	−12.2900	−	7.09565i	−0.877859	−	0.506832i
$197$	−5.50992	−	5.50992i	−0.392565	−	0.392565i	0.483035	−	0.875601i	$-0.339534\pi$
$197$	−5.50992	−	5.50992i	−0.392565	−	0.392565i	−0.875601	+	0.483035i	$0.839534\pi$
$198$	3.02876	−	1.20980i	0.215245	−	0.0859766i
$199$	−3.12385	+	3.12385i	−0.221444	+	0.221444i	−0.809106	−	0.587663i	$-0.800048\pi$
$199$	−3.12385	+	3.12385i	−0.221444	+	0.221444i	0.587663	+	0.809106i	$0.300048\pi$
$200$	2.94844	−	5.10685i	0.208486	−	0.361109i
$201$	−11.7150	+	13.1888i	−0.826312	+	0.930265i
$202$	−0.884293	+	0.510547i	−0.0622186	+	0.0359219i
$203$	−11.9214	−	20.6485i	−0.836719	−	1.44924i
$204$	7.89458	+	11.0671i	0.552731	+	0.774849i
$205$	1.03860	−	1.79891i	0.0725389	−	0.125641i
$206$		−	2.76446i		−	0.192609i
$207$	8.38577	+	20.9940i	0.582851	+	1.45918i
$208$	7.31409			0.507141
$209$	−5.68378	−	21.2121i	−0.393155	−	1.46727i
$210$	−0.151306	+	0.736244i	−0.0104411	+	0.0508056i
$211$	−1.94500	+	7.25884i	−0.133899	+	0.499719i	−1.00000		0.000150545i	$-0.999952\pi$
$211$	−1.94500	+	7.25884i	−0.133899	+	0.499719i	0.866101	+	0.499870i	$0.166619\pi$
$212$	20.7413	−	11.9750i	1.42452	−	0.822444i
$213$	−12.4651	−	6.24564i	−0.854092	−	0.427944i
$214$	1.67732	−	0.449437i	0.114659	−	0.0307229i
$215$	0.631925	+	0.631925i	0.0430970	+	0.0430970i
$216$	−3.59818	+	5.16946i	−0.244825	+	0.351737i
$217$	−14.1129			−0.958044
$218$	−0.285612	−	1.06592i	−0.0193441	−	0.0721930i
$219$	−1.65073	−	0.827103i	−0.111546	−	0.0558904i
$220$	1.22487	+	2.12153i	0.0825805	+	0.143034i
$221$	−8.40083	+	2.58685i	−0.565101	+	0.174010i
$222$	−0.651419	−	0.988424i	−0.0437203	−	0.0663387i
$223$	−8.18525	−	4.72576i	−0.548125	−	0.316460i	0.200241	−	0.979747i	$-0.435828\pi$
$223$	−8.18525	−	4.72576i	−0.548125	−	0.316460i	−0.748365	+	0.663287i	$0.769161\pi$
$224$	−9.38141	+	9.38141i	−0.626822	+	0.626822i
$225$	14.4928	−	1.72138i	0.966186	−	0.114758i
$226$	−0.504009	+	0.504009i	−0.0335262	+	0.0335262i
$227$	26.7206	−	7.15977i	1.77351	−	0.475210i	0.784134	−	0.620592i	$-0.213108\pi$
$227$	26.7206	−	7.15977i	1.77351	−	0.475210i	0.989376	+	0.145381i	$0.0464409\pi$
$228$	15.4620	+	13.7342i	1.02400	+	0.909570i
$229$	−15.2027	+	8.77727i	−1.00462	+	0.580018i	−0.909612	−	0.415458i	$-0.863621\pi$
$229$	−15.2027	+	8.77727i	−1.00462	+	0.580018i	−0.0950087	+	0.995476i	$0.530288\pi$
$230$	0.744875	−	0.430054i	0.0491156	−	0.0283569i
$231$	17.2372	+	15.3110i	1.13413	+	1.00739i
$232$	−7.34246	+	1.96741i	−0.482056	+	0.129167i
$233$	−1.23080	+	1.23080i	−0.0806327	+	0.0806327i	−0.746273	−	0.665640i	$-0.768159\pi$
$233$	−1.23080	+	1.23080i	−0.0806327	+	0.0806327i	0.665640	+	0.746273i	$0.268159\pi$
$234$	−1.18892	−	1.59079i	−0.0777222	−	0.103993i
$235$	−1.41655	+	1.41655i	−0.0924058	+	0.0924058i
$236$	−2.77581	−	1.60261i	−0.180690	−	0.104321i
$237$	1.46857	+	2.22832i	0.0953937	+	0.144745i
$238$	2.27660	−	4.30248i	0.147570	−	0.278888i
$239$	2.26442	+	3.92209i	0.146473	+	0.253699i	0.929922	−	0.367758i	$-0.119874\pi$
$239$	2.26442	+	3.92209i	0.146473	+	0.253699i	−0.783448	+	0.621457i	$0.786541\pi$
$240$	−1.95281	−	0.978460i	−0.126054	−	0.0631593i
$241$	−6.13089	−	22.8808i	−0.394925	−	1.47388i	−0.821907	−	0.569621i	$-0.807090\pi$
$241$	−6.13089	−	22.8808i	−0.394925	−	1.47388i	0.426982	−	0.904260i	$-0.359577\pi$
$242$	−0.390488			−0.0251015
$243$	−15.5796	+	0.526051i	−0.999430	+	0.0337462i
$244$	−14.8837	−	14.8837i	−0.952834	−	0.952834i
$245$	−2.64693	+	0.709242i	−0.169106	+	0.0453118i
$246$	−2.71732	−	1.36152i	−0.173250	−	0.0868072i
$247$	−11.5808	+	6.68618i	−0.736869	+	0.425431i
$248$	−1.16453	+	4.34609i	−0.0739478	+	0.275977i
$249$	−2.77116	+	13.4843i	−0.175615	+	0.854530i
$250$	−0.291422	−	1.08760i	−0.0184311	−	0.0687859i
$251$	19.2219			1.21328			0.606638	−	0.794978i	$-0.292518\pi$
$251$	19.2219			1.21328			0.606638	+	0.794978i	$0.292518\pi$
$252$	−21.4887	−	3.10669i	−1.35366	−	0.195703i
$253$		−	26.3828i		−	1.65867i
$254$	0.355867	−	0.616380i	0.0223291	−	0.0386751i
$255$	2.58903	+	0.433170i	0.162131	+	0.0271262i
$256$	−4.41582	−	7.64842i	−0.275989	−	0.478026i
$257$	18.7019	−	10.7976i	1.16659	−	0.673533i	0.213719	−	0.976895i	$-0.431442\pi$
$257$	18.7019	−	10.7976i	1.16659	−	0.673533i	0.952875	+	0.303362i	$0.0981091\pi$
$258$	0.868390	−	0.977636i	0.0540636	−	0.0608650i
$259$	4.18410	−	7.24708i	0.259987	−	0.450312i
$260$	1.05480	−	1.05480i	0.0654161	−	0.0654161i
$261$	−14.7793	−	11.6412i	−0.914818	−	0.720574i
$262$	−3.47112	−	3.47112i	−0.214447	−	0.214447i
$263$	−5.62935	−	3.25011i	−0.347121	−	0.200410i	0.316296	−	0.948661i	$-0.397561\pi$
$263$	−5.62935	−	3.25011i	−0.347121	−	0.200410i	−0.663416	+	0.748251i	$0.730894\pi$
$264$	6.13742	−	4.04485i	0.377732	−	0.248943i
$265$	1.19695	−	4.46708i	0.0735281	−	0.274411i
$266$	1.91660	−	7.15287i	0.117515	−	0.438570i
$267$	1.89485	+	5.70053i	0.115963	+	0.348867i
$268$	−9.69370	+	16.7900i	−0.592137	+	1.02561i
$269$	10.1987	−	10.1987i	0.621825	−	0.621825i	−0.324173	−	0.945998i	$-0.605086\pi$
$269$	10.1987	−	10.1987i	0.621825	−	0.621825i	0.945998	+	0.324173i	$0.105086\pi$
$270$	0.104622	+	0.583782i	0.00636708	+	0.0355279i
$271$	15.6932			0.953293			0.476647	−	0.879095i	$-0.341852\pi$
$271$	15.6932			0.953293			0.476647	+	0.879095i	$0.341852\pi$
$272$	10.3647	+	9.62636i	0.628449	+	0.583684i
$273$	6.28903	−	12.5517i	0.380630	−	0.759662i
$274$	−4.69347	+	2.70977i	−0.283543	+	0.163703i
$275$	−16.4520	−	4.40830i	−0.992092	−	0.265830i
$276$	13.6723	+	20.7455i	0.822973	+	1.24873i
$277$	3.39904	+	12.6854i	0.204228	+	0.762191i	0.989683	+	0.143272i	$0.0457624\pi$
$277$	3.39904	+	12.6854i	0.204228	+	0.762191i	−0.785455	+	0.618919i	$0.787571\pi$
$278$	0.274739	+	0.274739i	0.0164778	+	0.0164778i
$279$	−10.3415	+	4.13075i	−0.619127	+	0.247302i
$280$			1.69397i			0.101234i
$281$	23.9574	+	13.8318i	1.42918	+	0.825138i	0.997056	−	0.0766766i	$-0.0244309\pi$
$281$	23.9574	+	13.8318i	1.42918	+	0.825138i	0.432124	+	0.901814i	$0.357764\pi$
$282$	2.19151	+	1.94662i	0.130503	+	0.115920i
$283$	−4.17350	+	15.5757i	−0.248089	+	0.925880i	0.723717	+	0.690097i	$0.242432\pi$
$283$	−4.17350	+	15.5757i	−0.248089	+	0.925880i	−0.971806	+	0.235783i	$0.924235\pi$
$284$	−14.8008	−	3.96587i	−0.878268	−	0.235331i
$285$	3.98646	−	0.235916i	0.236137	−	0.0139745i
$286$	0.599865	+	2.23873i	0.0354708	+	0.132379i
$287$		−	21.4853i		−	1.26824i
$288$	−4.12852	+	9.62029i	−0.243275	+	0.566881i
$289$	−15.3093	−	7.39089i	−0.900547	−	0.434758i
$290$	−0.357892	+	0.619887i	−0.0210161	+	0.0364010i
$291$	4.52866	−	2.98460i	0.265475	−	0.174961i
$292$	−1.96006	−	0.525196i	−0.114704	−	0.0307348i
$293$	−0.996447	−	1.72590i	−0.0582130	−	0.100828i	0.835450	−	0.549566i	$-0.185207\pi$
$293$	−0.996447	−	1.72590i	−0.0582130	−	0.100828i	−0.893663	+	0.448738i	$0.851874\pi$
$294$	1.26474	+	3.80489i	0.0737613	+	0.221906i
$295$	−0.597831	+	0.160188i	−0.0348071	+	0.00932653i
$296$	−1.88650	−	1.88650i	−0.109651	−	0.109651i
$297$	17.1124	+	6.17421i	0.992959	+	0.358264i
$298$			0.0579763i			0.00335848i
$299$	−15.5178	+	4.15799i	−0.897420	+	0.240463i
$300$	15.2211	−	5.05950i	0.878793	−	0.292110i
$301$	8.92869	+	2.39244i	0.514641	+	0.137898i
$302$	−0.512502	−	0.887679i	−0.0294912	−	0.0510802i
$303$	−5.57900	−	1.14655i	−0.320505	−	0.0658673i
$304$	18.6364	+	10.7597i	1.06887	+	0.617112i
$305$	−4.06446			−0.232730
$306$	0.408910	−	3.81907i	0.0233758	−	0.218322i
$307$	−11.8416			−0.675834			−0.337917	−	0.941176i	$-0.609722\pi$
$307$	−11.8416			−0.675834			−0.337917	+	0.941176i	$0.609722\pi$
$308$	21.9439	+	12.6693i	1.25037	+	0.721900i
$309$	10.2404	−	11.5287i	0.582556	−	0.655843i
$310$	0.211840	+	0.366918i	0.0120317	+	0.0208396i
$311$	25.5600	+	6.84878i	1.44938	+	0.388359i	0.895806	−	0.444445i	$-0.146599\pi$
$311$	25.5600	+	6.84878i	1.44938	+	0.388359i	0.553569	+	0.832804i	$0.313266\pi$
$312$	−3.34638	−	2.97243i	−0.189451	−	0.168281i
$313$	32.7937	−	8.78706i	1.85361	−	0.496674i	0.853894	−	0.520446i	$-0.174234\pi$
$313$	32.7937	−	8.78706i	1.85361	−	0.496674i	0.999717	+	0.0237726i	$0.00756775\pi$
$314$			6.61351i			0.373222i
$315$	−3.35826	+	2.50988i	−0.189217	+	0.141416i
$316$	2.07395	+	2.07395i	0.116669	+	0.116669i
$317$	−30.3579	+	8.13437i	−1.70507	+	0.456872i	−0.974207	−	0.225655i	$-0.927548\pi$
$317$	−30.3579	+	8.13437i	−1.70507	+	0.456872i	−0.730861	+	0.682527i	$0.760881\pi$
$318$	−6.62824	−	1.36218i	−0.371694	−	0.0763871i
$319$	10.9779	+	19.0143i	0.614645	+	1.06460i
$320$	−2.05147	−	0.549689i	−0.114681	−	0.0307286i
$321$	8.65981	+	4.33901i	0.483344	+	0.242180i
$322$	4.44822	−	7.70454i	0.247889	−	0.429357i
$323$	−25.2109	−	5.76710i	−1.40277	−	0.320890i
$324$	−16.6555	+	4.01313i	−0.925308	+	0.222952i
$325$			10.3715i			0.575307i
$326$	1.21488	+	4.53398i	0.0672857	+	0.251114i
$327$	2.75739	−	5.50320i	0.152484	−	0.304328i
$328$	−6.61645	−	1.77287i	−0.365332	−	0.0978905i
$329$	−5.36300	+	20.0150i	−0.295672	+	1.10346i
$330$	0.139331	−	0.677974i	0.00766993	−	0.0373213i
$331$	−20.3364	−	11.7412i	−1.11779	−	0.645357i	−0.176955	−	0.984219i	$-0.556625\pi$
$331$	−20.3364	−	11.7412i	−1.11779	−	0.645357i	−0.940836	+	0.338862i	$0.889958\pi$
$332$			15.1293i			0.830330i
$333$	0.944800	−	6.53509i	0.0517747	−	0.358121i
$334$	−0.971458	−	0.971458i	−0.0531558	−	0.0531558i
$335$	0.968928	+	3.61609i	0.0529382	+	0.197568i
$336$	−22.5529	+	1.33467i	−1.23036	+	0.0728121i
$337$	27.0418	+	7.24584i	1.47306	+	0.394706i	0.903980	−	0.427575i	$-0.140632\pi$
$337$	27.0418	+	7.24584i	1.47306	+	0.394706i	0.569082	+	0.822281i	$0.307299\pi$
$338$	−2.27368	+	1.31271i	−0.123672	+	0.0714020i
$339$	−3.96888	+	0.234876i	−0.215560	+	0.0127567i
$340$	2.88301	−	0.106473i	0.156353	−	0.00577430i
$341$	12.9959			0.703768
$342$	−0.689175	−	5.80237i	−0.0372663	−	0.313756i
$343$	−1.22340	+	1.22340i	−0.0660573	+	0.0660573i
$344$	1.47351	−	2.55220i	0.0794465	−	0.137605i
$345$	4.69941	+	0.965781i	0.253008	+	0.0519959i
$346$	1.18813	−	4.43416i	0.0638742	−	0.238382i
$347$	−0.710464	+	2.65149i	−0.0381397	+	0.142339i	−0.982370	−	0.186946i	$-0.940141\pi$
$347$	−0.710464	+	2.65149i	−0.0381397	+	0.142339i	0.944231	+	0.329285i	$0.106808\pi$
$348$	−18.4859	−	9.26241i	−0.990950	−	0.496517i
$349$	23.0545	+	13.3105i	1.23408	+	0.712497i	0.967878	−	0.251420i	$-0.0808976\pi$
$349$	23.0545	+	13.3105i	1.23408	+	0.712497i	0.266203	+	0.963917i	$0.414231\pi$
$350$	−4.06121	−	4.06121i	−0.217081	−	0.217081i
$351$	0.934603	−	11.0382i	0.0498854	−	0.589177i
$352$	8.63893	−	8.63893i	0.460456	−	0.460456i
$353$	5.69713	−	9.86772i	0.303228	−	0.525206i	−0.673637	−	0.739062i	$-0.735269\pi$
$353$	5.69713	−	9.86772i	0.303228	−	0.525206i	0.976865	+	0.213856i	$0.0686024\pi$
$354$	0.285653	+	0.859367i	0.0151823	+	0.0456748i
$355$	−2.56241	+	1.47941i	−0.135999	+	0.0785189i
$356$	3.30105	+	5.71759i	0.174955	+	0.303032i
$357$	25.4318	−	9.50949i	1.34600	−	0.503296i
$358$	−2.55995	+	4.43396i	−0.135298	+	0.234342i
$359$			20.1206i			1.06193i	0.847395	+	0.530963i	$0.178170\pi$
$359$			20.1206i			1.06193i	−0.847395	+	0.530963i	$0.821830\pi$
$360$	0.495816	+	1.24129i	0.0261318	+	0.0654217i
$361$	−20.3440			−1.07074
$362$	0.682275	+	2.54628i	0.0358596	+	0.133830i
$363$	−1.62846	−	1.44649i	−0.0854720	−	0.0759209i
$364$	3.99343	−	14.9037i	0.209312	−	0.781165i
$365$	−0.339337	+	0.195916i	−0.0177617	+	0.0102547i
$366$	0.351330	+	5.93670i	0.0183643	+	0.310316i
$367$	14.5222	−	3.89121i	0.758052	−	0.203120i	0.140965	−	0.990015i	$-0.454979\pi$
$367$	14.5222	−	3.89121i	0.758052	−	0.203120i	0.617087	+	0.786895i	$0.288313\pi$
$368$	18.2808	+	18.2808i	0.952953	+	0.952953i
$369$	−6.28862	−	15.7437i	−0.327372	−	0.819586i
$370$	−0.251221			−0.0130604
$371$	−12.3805	−	46.2048i	−0.642766	−	2.39884i
$372$	−10.2190	+	6.73483i	−0.529832	+	0.349185i
$373$	16.7668	+	29.0410i	0.868153	+	1.50369i	0.863882	+	0.503695i	$0.168026\pi$
$373$	16.7668	+	29.0410i	0.868153	+	1.50369i	0.00427144	+	0.999991i	$0.498640\pi$
$374$	−2.09642	+	3.96196i	−0.108403	+	0.204868i
$375$	2.81348	−	5.61515i	0.145288	−	0.289965i
$376$	5.72113	+	3.30310i	0.295045	+	0.170344i
$377$	9.45370	−	9.45370i	0.486890	−	0.486890i
$378$	3.95631	+	4.68825i	0.203491	+	0.241137i
$379$	−14.1786	+	14.1786i	−0.728304	+	0.728304i	−0.970282	−	0.241978i	$-0.922204\pi$
$379$	−14.1786	+	14.1786i	−0.728304	+	0.728304i	0.241978	+	0.970282i	$0.422204\pi$
$380$	4.23936	−	1.13593i	0.217475	−	0.0582722i
$381$	3.76734	−	1.25226i	0.193006	−	0.0641552i
$382$	6.00231	−	3.46544i	0.307105	−	0.177307i
$383$	3.99202	−	2.30479i	0.203983	−	0.117770i	−0.394529	−	0.918883i	$-0.629092\pi$
$383$	3.99202	−	2.30479i	0.203983	−	0.117770i	0.598512	+	0.801114i	$0.295759\pi$
$384$	−3.05898	+	14.8848i	−0.156103	+	0.759585i
$385$	4.72609	−	1.26635i	0.240864	−	0.0645393i
$386$	3.53247	−	3.53247i	0.179798	−	0.179798i
$387$	7.24292	−	0.860275i	0.368178	−	0.0437302i
$388$	4.21494	−	4.21494i	0.213981	−	0.213981i
$389$	−9.98505	−	5.76487i	−0.506262	−	0.292291i	0.225034	−	0.974351i	$-0.427751\pi$
$389$	−9.98505	−	5.76487i	−0.506262	−	0.292291i	−0.731296	+	0.682060i	$0.761084\pi$
$390$	−0.420731	+	0.0248986i	−0.0213045	+	0.00126079i
$391$	−27.4625	−	14.5314i	−1.38884	−	0.734887i
$392$	4.51826	+	7.82586i	0.228207	+	0.395266i
$393$	−1.61759	−	27.3338i	−0.0815968	−	1.37881i
$394$	0.626244	+	2.33717i	0.0315497	+	0.117745i
$395$	0.566356			0.0284965
$396$	19.7880	+	2.86082i	0.994384	+	0.143761i
$397$	4.58801	+	4.58801i	0.230266	+	0.230266i	0.812803	−	0.582538i	$-0.197940\pi$
$397$	4.58801	+	4.58801i	0.230266	+	0.230266i	−0.582538	+	0.812803i	$0.697940\pi$
$398$	1.32506	−	0.355049i	0.0664193	−	0.0177970i
$399$	34.4892	−	22.7300i	1.72662	−	1.13792i
$400$	14.4542	−	8.34515i	0.722711	−	0.417258i
$401$	−2.08859	+	7.79474i	−0.104299	+	0.389251i	−0.998265	−	0.0588853i	$-0.981245\pi$
$401$	−2.08859	+	7.79474i	−0.104299	+	0.389251i	0.893965	+	0.448136i	$0.147912\pi$
$402$	5.19804	−	1.72782i	0.259254	−	0.0861760i
$403$	−2.04819	−	7.64395i	−0.102028	−	0.380772i
$404$	−6.25964			−0.311429
$405$	−1.72620	+	2.82211i	−0.0857755	+	0.140232i
$406$			7.40364i			0.367436i
$407$	−3.85295	+	6.67351i	−0.190984	+	0.330794i
$408$	−0.829948	−	8.61648i	−0.0410885	−	0.426579i
$409$	3.22636	+	5.58821i	0.159533	+	0.276319i	0.934700	−	0.355437i	$-0.115668\pi$
$409$	3.22636	+	5.58821i	0.159533	+	0.276319i	−0.775167	+	0.631756i	$0.782334\pi$
$410$	−0.558593	+	0.322504i	−0.0275869	+	0.0159273i
$411$	−29.6110	−	6.08540i	−1.46061	−	0.300171i
$412$	8.47353	−	14.6766i	0.417461	−	0.723063i
$413$	−4.52671	+	4.52671i	−0.222745	+	0.222745i
$414$	1.00444	−	6.94761i	0.0493655	−	0.341456i
$415$	2.06576	+	2.06576i	0.101404	+	0.101404i
$416$	−6.44277	−	3.71974i	−0.315883	−	0.182375i
$417$	0.128033	+	2.16347i	0.00626978	+	0.105945i
$418$	−1.76492	+	6.58676i	−0.0863249	+	0.322169i
$419$	0.235696	−	0.879629i	0.0115145	−	0.0429727i	−0.959930	−	0.280241i	$-0.909585\pi$
$419$	0.235696	−	0.879629i	0.0115145	−	0.0429727i	0.971444	+	0.237269i	$0.0762522\pi$
$420$	−3.06000	+	3.44495i	−0.149312	+	0.168097i
$421$	12.7435	−	22.0725i	0.621082	−	1.07575i	−0.368203	−	0.929746i	$-0.620027\pi$
$421$	12.7435	−	22.0725i	0.621082	−	1.07575i	0.989285	−	0.146000i	$-0.0466399\pi$
$422$	1.65004	−	1.65004i	0.0803229	−	0.0803229i
$423$	1.92843	+	16.2361i	0.0937636	+	0.789424i
$424$	−15.2505			−0.740629
$425$	−13.6503	+	14.6973i	−0.662139	+	0.712922i
$426$	2.38237	+	3.61487i	0.115426	+	0.175141i
$427$	−36.4080	+	21.0202i	−1.76191	+	1.01724i
$428$	10.2825	+	2.75520i	0.497025	+	0.133177i
$429$	−5.79129	+	11.5583i	−0.279606	+	0.558039i
$430$	−0.0718231	−	0.268047i	−0.00346362	−	0.0129264i
$431$	−14.5115	−	14.5115i	−0.698992	−	0.698992i	0.265201	−	0.964193i	$-0.414562\pi$
$431$	−14.5115	−	14.5115i	−0.698992	−	0.698992i	−0.964193	+	0.265201i	$0.914562\pi$
$432$	−16.1354	+	7.57911i	−0.776316	+	0.364650i
$433$		−	7.37940i		−	0.354631i	−0.984154	−	0.177316i	$-0.943259\pi$
$433$		−	7.37940i		−	0.354631i	0.984154	−	0.177316i	$-0.0567414\pi$
$434$	3.79518	+	2.19115i	0.182175	+	0.105179i
$435$	−3.78877	+	1.25938i	−0.181657	+	0.0603828i
$436$	1.75089	−	6.53442i	0.0838526	−	0.312942i
$437$	−45.6564	−	12.2336i	−2.18404	−	0.585213i
$438$	0.315495	+	0.478713i	0.0150749	+	0.0228738i
$439$	−0.737551	−	2.75258i	−0.0352014	−	0.131373i	0.946089	−	0.323907i	$-0.104996\pi$
$439$	−0.737551	−	2.75258i	−0.0352014	−	0.131373i	−0.981290	+	0.192533i	$0.938330\pi$
$440$		−	1.55991i		−	0.0743656i
$441$	−8.82007	+	20.5526i	−0.420004	+	0.978694i
$442$	2.66075	+	0.608659i	0.126559	+	0.0289510i
$443$	−6.22539	+	10.7827i	−0.295777	+	0.512301i	−0.975165	−	0.221478i	$-0.928912\pi$
$443$	−6.22539	+	10.7827i	−0.295777	+	0.512301i	0.679388	+	0.733779i	$0.262245\pi$
$444$	−0.428711	−	7.24427i	−0.0203457	−	0.343798i
$445$	1.23141	+	0.329955i	0.0583744	+	0.0156414i
$446$	1.46743	+	2.54167i	0.0694850	+	0.120352i
$447$	−0.214762	+	0.241780i	−0.0101579	+	0.0114358i
$448$	−21.2192	+	5.68566i	−1.00251	+	0.268622i
$449$	−19.5763	−	19.5763i	−0.923863	−	0.923863i	0.0734372	−	0.997300i	$-0.476603\pi$
$449$	−19.5763	−	19.5763i	−0.923863	−	0.923863i	−0.997300	+	0.0734372i	$0.976603\pi$
$450$	−4.16461	−	1.78723i	−0.196322	−	0.0842509i
$451$			19.7848i			0.931632i
$452$	−4.22067	+	1.13092i	−0.198523	+	0.0531942i
$453$	1.15094	−	5.60036i	0.0540757	−	0.263128i
$454$	−8.29724	−	2.22324i	−0.389409	−	0.104342i
$455$	−1.48969	−	2.58022i	−0.0698377	−	0.120962i
$456$	−4.15387	−	12.4966i	−0.194523	−	0.585208i
$457$	0.789442	+	0.455785i	0.0369285	+	0.0213207i	0.518351	−	0.855168i	$-0.326546\pi$
$457$	0.789442	+	0.455785i	0.0369285	+	0.0213207i	−0.481422	+	0.876489i	$0.659880\pi$
$458$	5.45100			0.254709
$459$	15.8523	−	14.4120i	0.739920	−	0.672694i
$460$	5.27274			0.245843
$461$	−10.1627	−	5.86745i	−0.473325	−	0.273275i	0.244305	−	0.969698i	$-0.421440\pi$
$461$	−10.1627	−	5.86745i	−0.473325	−	0.273275i	−0.717631	+	0.696424i	$0.754773\pi$
$462$	−2.25820	−	6.79363i	−0.105061	−	0.316068i
$463$	−2.04728	−	3.54600i	−0.0951453	−	0.164797i	0.814524	−	0.580130i	$-0.196998\pi$
$463$	−2.04728	−	3.54600i	−0.0951453	−	0.164797i	−0.909669	+	0.415333i	$0.863665\pi$
$464$	−20.7818	−	5.56846i	−0.964770	−	0.258509i
$465$	−0.475735	+	2.31489i	−0.0220617	+	0.107350i
$466$	0.522078	−	0.139890i	0.0241848	−	0.00648029i
$467$			29.1247i			1.34773i	0.738854	+	0.673865i	$0.235367\pi$
$467$			29.1247i			1.34773i	−0.738854	+	0.673865i	$0.764633\pi$
$468$	−1.43596	−	12.0898i	−0.0663773	−	0.558851i
$469$	27.3807	+	27.3807i	1.26432	+	1.26432i
$470$	0.600868	−	0.161002i	0.0277160	−	0.00742647i
$471$	−24.4984	+	27.5804i	−1.12883	+	1.27084i
$472$	1.02049	+	1.76754i	0.0469718	+	0.0813575i
$473$	−8.22204	−	2.20309i	−0.378050	−	0.101298i
$474$	−0.0489555	−	0.827240i	−0.00224860	−	0.0379964i
$475$	−15.2575	+	26.4267i	−0.700060	+	1.21254i
$476$	25.2743	−	15.8638i	1.15845	−	0.727116i
$477$	−22.5960	−	30.2337i	−1.03460	−	1.38431i
$478$		−	1.40629i		−	0.0643221i
$479$	−5.36555	−	20.0245i	−0.245158	−	0.914944i	−0.973304	−	0.229521i	$-0.926284\pi$
$479$	−5.36555	−	20.0245i	−0.245158	−	0.914944i	0.728145	−	0.685423i	$-0.240383\pi$
$480$	1.22256	+	1.85504i	0.0558020	+	0.0846707i
$481$	4.53247	+	1.21447i	0.206663	+	0.0553751i
$482$	−1.90375	+	7.10490i	−0.0867136	+	0.323619i
$483$	47.0904	−	15.6528i	2.14269	−	0.712228i
$484$	−2.07311	−	1.19691i	−0.0942323	−	0.0544050i
$485$		−	1.15102i		−	0.0522651i
$486$	4.27128	+	2.27741i	0.193749	+	0.103305i
$487$	5.96885	+	5.96885i	0.270474	+	0.270474i	0.829291	−	0.558817i	$-0.188744\pi$
$487$	5.96885	+	5.96885i	0.270474	+	0.270474i	−0.558817	+	0.829291i	$0.688744\pi$
$488$	3.46899	+	12.9464i	0.157034	+	0.586058i
$489$	−11.7288	+	23.4084i	−0.530395	+	1.05856i
$490$	0.821919	+	0.220232i	0.0371305	+	0.00994909i
$491$	−16.9049	+	9.76007i	−0.762909	+	0.440466i	−0.830339	−	0.557258i	$-0.811853\pi$
$491$	−16.9049	+	9.76007i	−0.762909	+	0.440466i	0.0674303	+	0.997724i	$0.478520\pi$
$492$	−10.2530	−	15.5574i	−0.462243	−	0.701380i
$493$	25.8390	−	0.954266i	1.16373	−	0.0429780i
$494$	4.15236			0.186824
$495$	3.09248	−	2.31124i	0.138996	−	0.103883i
$496$	−9.00495	+	9.00495i	−0.404334	+	0.404334i
$497$	−15.3021	+	26.5041i	−0.686394	+	1.18887i
$498$	2.83877	−	3.19589i	0.127208	−	0.143211i
$499$	0.838420	−	3.12902i	0.0375328	−	0.140074i	−0.944617	−	0.328175i	$-0.893566\pi$
$499$	0.838420	−	3.12902i	0.0375328	−	0.140074i	0.982150	+	0.188101i	$0.0602331\pi$
$500$	1.78651	−	6.66735i	0.0798952	−	0.298173i
$501$	−0.452713	−	7.64986i	−0.0202257	−	0.341770i
$502$	−5.16909	−	2.98438i	−0.230708	−	0.133199i
$503$	−20.0620	−	20.0620i	−0.894519	−	0.894519i	0.100426	−	0.994945i	$-0.467980\pi$
$503$	−20.0620	−	20.0620i	−0.894519	−	0.894519i	−0.994945	+	0.100426i	$0.967980\pi$
$504$	10.8609	+	8.55483i	0.483784	+	0.381062i
$505$	−0.854693	+	0.854693i	−0.0380333	+	0.0380333i
$506$	−4.09617	+	7.09477i	−0.182097	+	0.315401i
$507$	−14.3446	−	2.94798i	−0.637068	−	0.130924i
$508$	3.77861	−	2.18158i	0.167649	−	0.0967921i
$509$	16.0980	+	27.8825i	0.713530	+	1.23587i	0.963524	+	0.267623i	$0.0862380\pi$
$509$	16.0980	+	27.8825i	0.713530	+	1.23587i	−0.249994	+	0.968247i	$0.580429\pi$
$510$	−0.628979	−	0.518457i	−0.0278517	−	0.0229577i
$511$	−2.02644	+	3.50990i	−0.0896446	+	0.155269i
$512$			20.2890i			0.896657i
$513$	18.6197	−	26.7506i	0.822078	−	1.18107i
$514$	−6.70568			−0.295775
$515$	−0.846967	−	3.16092i	−0.0373218	−	0.139287i
$516$	7.60691	−	2.52853i	0.334876	−	0.111312i
$517$	4.93855	−	18.4309i	0.217197	−	0.810590i
$518$	−2.25035	+	1.29924i	−0.0988747	+	0.0570853i
$519$	21.3803	−	14.0906i	0.938492	−	0.618511i
$520$	−0.917507	+	0.245845i	−0.0402353	+	0.0107810i
$521$	8.10280	+	8.10280i	0.354990	+	0.354990i	0.861962	−	0.506972i	$-0.169235\pi$
$521$	8.10280	+	8.10280i	0.354990	+	0.354990i	−0.506972	+	0.861962i	$0.669235\pi$
$522$	2.16700	+	5.42515i	0.0948470	+	0.237452i
$523$	25.5089			1.11543			0.557713	−	0.830034i	$-0.311679\pi$
$523$	25.5089			1.11543			0.557713	+	0.830034i	$0.311679\pi$
$524$	−7.78870	−	29.0678i	−0.340251	−	1.26983i
$525$	−1.89258	−	31.9804i	−0.0825990	−	1.39574i
$526$	1.00922	+	1.74802i	0.0440040	+	0.0762171i
$527$	7.15805	−	13.5278i	0.311810	−	0.589280i
$528$	20.7680	−	1.22904i	0.903811	−	0.0534869i
$529$	−29.2591	−	16.8928i	−1.27214	−	0.734468i
$530$	−1.01544	+	1.01544i	−0.0441077	+	0.0441077i
$531$	−1.99209	+	4.64198i	−0.0864493	+	0.201445i
$532$	32.1000	−	32.1000i	1.39171	−	1.39171i
$533$	11.6371	−	3.11814i	0.504058	−	0.135062i
$534$	0.375502	−	1.82716i	0.0162495	−	0.0790690i
$535$	1.78018	−	1.02779i	0.0769637	−	0.0444350i
$536$	10.6913	−	6.17261i	0.461793	−	0.266616i
$537$	−27.1005	+	9.00820i	−1.16947	+	0.388733i
$538$	−4.32604	+	1.15916i	−0.186509	+	0.0499749i
$539$	18.4560	−	18.4560i	0.794957	−	0.794957i
$540$	−1.23395	+	3.42000i	−0.0531007	+	0.147173i
$541$	4.54684	−	4.54684i	0.195484	−	0.195484i	−0.602577	−	0.798061i	$-0.705859\pi$
$541$	4.54684	−	4.54684i	0.195484	−	0.195484i	0.798061	+	0.602577i	$0.205859\pi$
$542$	−4.22016	−	2.43651i	−0.181271	−	0.104657i
$543$	−6.58690	+	13.1462i	−0.282671	+	0.564156i
$544$	−4.23423	−	13.7508i	−0.181541	−	0.589559i
$545$	−0.653145	−	1.13128i	−0.0279776	−	0.0484587i
$546$	−3.63999	+	2.39892i	−0.155777	+	0.102665i
$547$	5.10003	+	19.0336i	0.218061	+	0.813816i	0.985066	+	0.172175i	$0.0550795\pi$
$547$	5.10003	+	19.0336i	0.218061	+	0.813816i	−0.767005	+	0.641641i	$0.778254\pi$
$548$	−33.2236			−1.41924
$549$	−20.5262	+	26.0593i	−0.876035	+	1.11219i
$550$	3.73978	+	3.73978i	0.159465	+	0.159465i
$551$	37.9954	−	10.1808i	1.61866	−	0.433718i
$552$	−0.934632	−	15.7932i	−0.0397806	−	0.672204i
$553$	5.07322	−	2.92903i	0.215735	−	0.124555i
$554$	1.05546	−	3.93904i	0.0448424	−	0.167354i
$555$	−1.04767	−	0.930598i	−0.0444712	−	0.0395017i
$556$	0.616475	+	2.30072i	0.0261444	+	0.0975721i
$557$	40.6415			1.72203			0.861017	−	0.508576i	$-0.169828\pi$
$557$	40.6415			1.72203			0.861017	+	0.508576i	$0.169828\pi$
$558$	3.42233	+	0.494778i	0.144879	+	0.0209456i
$559$			5.18326i			0.219229i
$560$	−2.39728	+	4.15220i	−0.101303	+	0.175463i
$561$	−23.4190	+	8.75687i	−0.988753	+	0.369715i
$562$	−4.29503	−	7.43922i	−0.181175	−	0.313804i
$563$	−0.514130	+	0.296833i	−0.0216680	+	0.0125100i	−0.510795	−	0.859703i	$-0.670649\pi$
$563$	−0.514130	+	0.296833i	−0.0216680	+	0.0125100i	0.489127	+	0.872213i	$0.337316\pi$
$564$	5.66808	+	17.0520i	0.238669	+	0.718019i
$565$	−0.421874	+	0.730708i	−0.0177484	+	0.0307411i
$566$	3.54059	−	3.54059i	0.148822	−	0.148822i
$567$	−0.867595	+	34.2068i	−0.0364356	+	1.43655i
$568$	6.89933	+	6.89933i	0.289489	+	0.289489i
$569$	24.7233	+	14.2740i	1.03645	+	0.598397i	0.918827	−	0.394660i	$-0.129138\pi$
$569$	24.7233	+	14.2740i	1.03645	+	0.598397i	0.117628	+	0.993058i	$0.462471\pi$
$570$	−1.10865	−	0.555492i	−0.0464364	−	0.0232670i
$571$	12.0653	−	45.0283i	0.504917	−	1.88438i	0.0396319	−	0.999214i	$-0.487381\pi$
$571$	12.0653	−	45.0283i	0.504917	−	1.88438i	0.465285	−	0.885161i	$-0.345952\pi$
$572$	−3.67737	+	13.7241i	−0.153759	+	0.573835i
$573$	37.8686	+	7.78241i	1.58198	+	0.325115i
$574$	−3.33579	+	5.77775i	−0.139233	+	0.241159i
$575$	−25.9225	+	25.9225i	−1.08104	+	1.08104i
$576$	−13.8846	+	10.3770i	−0.578524	+	0.432375i
$577$	−7.59863			−0.316335			−0.158168	−	0.987412i	$-0.550559\pi$
$577$	−7.59863			−0.316335			−0.158168	+	0.987412i	$0.550559\pi$
$578$	2.96942	+	4.36444i	0.123512	+	0.181537i
$579$	27.8168	−	1.64618i	1.15603	−	0.0684129i
$580$	−3.80011	+	2.19399i	−0.157791	+	0.0911006i
$581$	29.1879	+	7.82087i	1.21092	+	0.324465i
$582$	−1.68122	+	0.0994935i	−0.0696888	+	0.00412414i
$583$	11.4007	+	42.5480i	0.472169	+	1.76216i
$584$	0.913670	+	0.913670i	0.0378079	+	0.0378079i
$585$	−1.84681	−	1.45468i	−0.0763562	−	0.0601435i
$586$			0.618830i			0.0255636i
$587$	0.530082	+	0.306043i	0.0218788	+	0.0126317i	0.510900	−	0.859640i	$-0.329312\pi$
$587$	0.530082	+	0.306043i	0.0218788	+	0.0126317i	−0.489021	+	0.872272i	$0.662646\pi$
$588$	−4.94806	+	24.0769i	−0.204055	+	0.992913i
$589$	6.02616	−	22.4899i	0.248304	−	0.926681i
$590$	0.185637	+	0.0497414i	0.00764257	+	0.00204782i
$591$	−6.04596	+	12.0665i	−0.248697	+	0.496351i
$592$	−1.95438	−	7.29386i	−0.0803247	−	0.299776i
$593$			24.5560i			1.00839i	0.863588	+	0.504197i	$0.168212\pi$
$593$			24.5560i			1.00839i	−0.863588	+	0.504197i	$0.831788\pi$
$594$	−3.64319	−	4.31720i	−0.149482	−	0.177137i
$595$	1.28492	−	5.61701i	0.0526764	−	0.230275i
$596$	−0.177707	+	0.307797i	−0.00727916	+	0.0126079i
$597$	6.84113	+	3.42776i	0.279989	+	0.140289i
$598$	4.81857	+	1.29113i	0.197046	+	0.0527984i
$599$	−11.3718	−	19.6965i	−0.464638	−	0.804776i	0.534547	−	0.845138i	$-0.320482\pi$
$599$	−11.3718	−	19.6965i	−0.464638	−	0.804776i	−0.999185	+	0.0403625i	$0.987149\pi$
$600$	−10.0046	−	2.05606i	−0.408437	−	0.0839383i
$601$	15.8043	−	4.23474i	0.644670	−	0.172739i	0.0783521	−	0.996926i	$-0.475034\pi$
$601$	15.8043	−	4.23474i	0.644670	−	0.172739i	0.566318	+	0.824187i	$0.308367\pi$
$602$	−2.02963	−	2.02963i	−0.0827214	−	0.0827214i
$603$	28.0778	+	12.0495i	1.14342	+	0.490694i
$604$		−	6.28361i		−	0.255676i
$605$	−0.446490	+	0.119637i	−0.0181524	+	0.00486392i
$606$	1.32227	+	1.17452i	0.0537137	+	0.0477114i
$607$	−4.18359	−	1.12099i	−0.169806	−	0.0454995i	0.172914	−	0.984937i	$-0.444682\pi$
$607$	−4.18359	−	1.12099i	−0.169806	−	0.0454995i	−0.342721	+	0.939437i	$0.611348\pi$
$608$	−10.9442	−	18.9558i	−0.443844	−	0.768761i
$609$	−27.4253	+	30.8755i	−1.11133	+	1.25114i
$610$	1.09300	+	0.631045i	0.0442544	+	0.0255503i
$611$	−11.6190			−0.470056
$612$	13.8770	−	19.0221i	0.560944	−	0.768924i
$613$	−16.5114			−0.666890			−0.333445	−	0.942770i	$-0.608211\pi$
$613$	−16.5114			−0.666890			−0.333445	+	0.942770i	$0.608211\pi$
$614$	3.18439	+	1.83851i	0.128512	+	0.0741963i
$615$	−3.52416	−	0.724254i	−0.142108	−	0.0292047i
$616$	−8.06736	−	13.9731i	−0.325043	−	0.562992i
$617$	31.1131	+	8.33674i	1.25257	+	0.335624i	0.823328	−	0.567566i	$-0.192115\pi$
$617$	31.1131	+	8.33674i	1.25257	+	0.335624i	0.429240	+	0.903191i	$0.358782\pi$
$618$	−4.54375	+	1.51034i	−0.182776	+	0.0607547i
$619$	−33.7751	+	9.05001i	−1.35754	+	0.363750i	−0.862911	−	0.505356i	$-0.831361\pi$
$619$	−33.7751	+	9.05001i	−1.35754	+	0.363750i	−0.494625	+	0.869107i	$0.664694\pi$
$620$			2.59730i			0.104310i
$621$	29.9249	−	25.2530i	1.20084	−	1.01337i
$622$	−5.81018	−	5.81018i	−0.232967	−	0.232967i
$623$	12.7370	−	3.41286i	0.510295	−	0.136733i
$624$	−3.99598	−	12.0216i	−0.159967	−	0.481251i
$625$	11.4958	+	19.9113i	0.459832	+	0.796452i
$626$	−10.1831	−	2.72854i	−0.406997	−	0.109054i
$627$	−31.7596	+	20.9311i	−1.26836	+	0.835907i
$628$	−20.2715	+	35.1112i	−0.808920	+	1.40109i
$629$	4.82446	+	7.68637i	0.192364	+	0.306476i
$630$	1.29278	−	0.153549i	0.0515054	−	0.00611754i
$631$		−	17.1278i		−	0.681849i	−0.940091	−	0.340924i	$-0.889260\pi$
$631$		−	17.1278i		−	0.681849i	0.940091	−	0.340924i	$-0.110740\pi$
$632$	−0.483381	−	1.80400i	−0.0192279	−	0.0717593i
$633$	12.9935	−	0.768944i	0.516444	−	0.0305628i
$634$	9.42667	+	2.52587i	0.374381	+	0.100315i
$635$	0.218059	−	0.813807i	0.00865340	−	0.0322949i
$636$	−31.0142	−	27.5485i	−1.22979	−	1.09237i
$637$	−13.7642	−	7.94676i	−0.545357	−	0.314862i
$638$		−	6.81768i		−	0.269915i
$639$	−3.45533	+	23.9002i	−0.136691	+	0.945476i
$640$	2.28032	+	2.28032i	0.0901375	+	0.0901375i
$641$	0.188456	+	0.703327i	0.00744356	+	0.0277798i	0.969548	−	0.244902i	$-0.0787559\pi$
$641$	0.188456	+	0.703327i	0.00744356	+	0.0277798i	−0.962104	+	0.272682i	$0.912089\pi$
$642$	−1.65510	−	2.51135i	−0.0653215	−	0.0991150i
$643$	−31.6068	−	8.46901i	−1.24645	−	0.333985i	−0.425485	−	0.904965i	$-0.639897\pi$
$643$	−31.6068	−	8.46901i	−1.24645	−	0.333985i	−0.820964	+	0.570980i	$0.806563\pi$
$644$	47.2313	−	27.2690i	1.86118	−	1.07455i
$645$	0.693403	−	1.38390i	0.0273027	−	0.0544909i
$646$	5.88423	+	5.46509i	0.231512	+	0.215021i
$647$	9.76658			0.383964			0.191982	−	0.981398i	$-0.438508\pi$
$647$	9.76658			0.383964			0.191982	+	0.981398i	$0.438508\pi$
$648$	10.4625	+	3.08978i	0.411005	+	0.121378i
$649$	4.16845	−	4.16845i	0.163626	−	0.163626i
$650$	1.61027	−	2.78907i	0.0631600	−	0.109396i
$651$	7.71043	+	23.1963i	0.302196	+	0.909134i
$652$	−7.44758	+	27.7948i	−0.291670	+	1.08853i
$653$	−6.58487	+	24.5751i	−0.257686	+	0.961696i	0.708891	+	0.705318i	$0.249196\pi$
$653$	−6.58487	+	24.5751i	−0.257686	+	0.961696i	−0.966577	+	0.256378i	$0.917471\pi$
$654$	−1.59593	+	1.05179i	−0.0624058	+	0.0411284i
$655$	−5.03240	−	2.90546i	−0.196632	−	0.113526i
$656$	−13.7091	−	13.7091i	−0.535249	−	0.535249i
$657$	−0.457585	+	3.16507i	−0.0178521	+	0.123481i
$658$	4.54971	−	4.54971i	0.177366	−	0.177366i
$659$	−20.4536	+	35.4267i	−0.796760	+	1.38003i	0.124956	+	0.992162i	$0.460121\pi$
$659$	−20.4536	+	35.4267i	−0.796760	+	1.38003i	−0.921716	+	0.387866i	$0.873212\pi$
$660$	2.81781	−	3.17231i	0.109683	−	0.123482i
$661$	−11.4626	+	6.61795i	−0.445844	+	0.257408i	−0.706073	−	0.708139i	$-0.749535\pi$
$661$	−11.4626	+	6.61795i	−0.445844	+	0.257408i	0.260229	+	0.965547i	$0.416202\pi$
$662$	3.64587	+	6.31483i	0.141701	+	0.245433i
$663$	8.84153	+	12.3945i	0.343376	+	0.481364i
$664$	4.81692	−	8.34314i	0.186933	−	0.323777i
$665$		−	8.76589i		−	0.339927i
$666$	−1.26870	+	1.61071i	−0.0491613	+	0.0624136i
$667$	47.2571			1.82980
$668$	−2.17981	−	8.13516i	−0.0843394	−	0.314759i
$669$	−3.29545	+	16.0354i	−0.127409	+	0.619963i
$670$	0.300870	−	1.12286i	0.0116236	−	0.0433799i
$671$	33.5265	−	19.3566i	1.29428	−	0.747252i
$672$	20.5450	+	10.2941i	0.792540	+	0.397104i
$673$	−25.6609	+	6.87581i	−0.989154	+	0.265043i	−0.716895	−	0.697181i	$-0.754437\pi$
$673$	−25.6609	+	6.87581i	−0.989154	+	0.265043i	−0.272259	+	0.962224i	$0.587771\pi$
$674$	−6.14702	−	6.14702i	−0.236774	−	0.236774i
$675$	−10.7473	−	22.8803i	−0.413664	−	0.880663i
$676$	−16.0947			−0.619026
$677$	−3.12014	−	11.6445i	−0.119917	−	0.447535i	0.879691	−	0.475546i	$-0.157749\pi$
$677$	−3.12014	−	11.6445i	−0.119917	−	0.447535i	−0.999608	+	0.0280106i	$0.991083\pi$
$678$	1.10376	+	0.553043i	0.0423898	+	0.0212395i
$679$	−5.95273	−	10.3104i	−0.228445	−	0.395678i
$680$	−1.62375	−	0.859185i	−0.0622679	−	0.0329482i
$681$	−26.3666	−	40.0071i	−1.01037	−	1.53307i
$682$	−3.49482	−	2.01773i	−0.133823	−	0.0772630i
$683$	−3.50949	+	3.50949i	−0.134287	+	0.134287i	−0.771055	−	0.636768i	$-0.780271\pi$
$683$	−3.50949	+	3.50949i	−0.134287	+	0.134287i	0.636768	+	0.771055i	$0.280271\pi$
$684$	14.1264	−	32.9173i	0.540136	−	1.25863i
$685$	−4.53636	+	4.53636i	−0.173325	+	0.173325i
$686$	0.518936	−	0.139048i	0.0198131	−	0.00530890i
$687$	22.7324	+	20.1922i	0.867295	+	0.770379i
$688$	7.22364	−	4.17057i	0.275399	−	0.159002i
$689$	23.2291	−	13.4113i	0.884960	−	0.510932i
$690$	−1.11380	−	0.989341i	−0.0424018	−	0.0376636i
$691$	−30.3248	+	8.12549i	−1.15361	+	0.309108i	−0.784410	−	0.620243i	$-0.787034\pi$
$691$	−30.3248	+	8.12549i	−1.15361	+	0.309108i	−0.369198	+	0.929351i	$0.620368\pi$
$692$	19.8992	−	19.8992i	0.756455	−	0.756455i
$693$	15.7483	−	36.6966i	0.598227	−	1.39399i
$694$	0.602723	−	0.602723i	0.0228790	−	0.0228790i
$695$	0.398314	+	0.229967i	0.0151089	+	0.00872314i
$696$	7.24517	+	10.9934i	0.274627	+	0.416704i
$697$	20.5946	+	10.8974i	0.780076	+	0.412767i
$698$	−4.13317	−	7.15885i	−0.156443	−	0.270967i
$699$	2.69542	+	1.35055i	0.101950	+	0.0510823i
$700$	−9.11276	−	34.0093i	−0.344430	−	1.28543i
$701$	−7.18154			−0.271243			−0.135622	−	0.990761i	$-0.543303\pi$
$701$	−7.18154			−0.271243			−0.135622	+	0.990761i	$0.543303\pi$
$702$	−1.96512	+	2.82326i	−0.0741685	+	0.106557i
$703$	9.76217	+	9.76217i	0.368187	+	0.368187i
$704$	19.5398	−	5.23567i	0.736433	−	0.197327i
$705$	3.10221	+	1.55437i	0.116836	+	0.0585408i
$706$	−3.06411	+	1.76906i	−0.115319	+	0.0665796i
$707$	−3.23582	+	12.0763i	−0.121696	+	0.454174i
$708$	−1.11756	+	5.43797i	−0.0420006	+	0.204371i
$709$	−5.73523	−	21.4042i	−0.215391	−	0.803850i	−0.986029	−	0.166576i	$-0.946729\pi$
$709$	−5.73523	−	21.4042i	−0.215391	−	0.803850i	0.770638	−	0.637274i	$-0.219938\pi$
$710$	0.918767			0.0344807
$711$	2.86019	−	3.63120i	0.107265	−	0.136181i
$712$		−	4.20399i		−	0.157551i
$713$	13.9860	−	24.2245i	0.523780	−	0.907214i
$714$	−8.31548	−	1.39126i	−0.311199	−	0.0520667i
$715$	1.37179	+	2.37601i	0.0513020	+	0.0888576i
$716$	−27.1816	+	15.6933i	−1.01583	+	0.586487i
$717$	5.20931	−	5.86466i	0.194545	−	0.219020i
$718$	3.12391	−	5.41077i	0.116583	−	0.201928i
$719$	−1.84408	+	1.84408i	−0.0687727	+	0.0687727i	−0.740657	−	0.671884i	$-0.765485\pi$
$719$	−1.84408	+	1.84408i	−0.0687727	+	0.0687727i	0.671884	+	0.740657i	$0.265485\pi$
$720$	−0.541322	+	3.74427i	−0.0201739	+	0.139541i
$721$	−23.9342	−	23.9342i	−0.891355	−	0.891355i
$722$	5.47084	+	3.15859i	0.203604	+	0.117551i
$723$	−34.2579	+	22.5776i	−1.27407	+	0.839670i
$724$	−4.18257	+	15.6096i	−0.155444	+	0.580125i
$725$	7.89618	−	29.4689i	0.293257	−	1.09445i
$726$	0.213340	+	0.641818i	0.00791778	+	0.0238201i
$727$	−13.9644	+	24.1870i	−0.517909	+	0.897045i	0.481874	+	0.876240i	$0.339956\pi$
$727$	−13.9644	+	24.1870i	−0.517909	+	0.897045i	−0.999784	+	0.0208046i	$0.993377\pi$
$728$	−6.94726	+	6.94726i	−0.257483	+	0.257483i
$729$	9.37639	+	25.3196i	0.347274	+	0.937764i
$730$	0.121671			0.00450326
$731$	−6.82189	+	7.34510i	−0.252317	+	0.271668i
$732$	−16.3317	+	32.5949i	−0.603638	+	1.20474i
$733$	6.58840	−	3.80382i	0.243348	−	0.140497i	−0.373366	−	0.927684i	$-0.621797\pi$
$733$	6.58840	−	3.80382i	0.243348	−	0.140497i	0.616715	+	0.787187i	$0.288463\pi$
$734$	−4.50941	−	1.20829i	−0.166445	−	0.0445989i
$735$	2.61185	+	3.96307i	0.0963396	+	0.146180i
$736$	−6.80594	−	25.4001i	−0.250870	−	0.936261i
$737$	−25.2136	−	25.2136i	−0.928756	−	0.928756i
$738$	−0.753245	+	5.21012i	−0.0277273	+	0.191787i
$739$			9.53223i			0.350649i	0.984511	+	0.175324i	$0.0560974\pi$
$739$			9.53223i			0.350649i	−0.984511	+	0.175324i	$0.943903\pi$
$740$	−1.33374	−	0.770034i	−0.0490292	−	0.0283070i
$741$	17.3167	+	15.3816i	0.636143	+	0.565057i
$742$	−3.84439	+	14.3474i	−0.141132	+	0.526711i
$743$	−33.6409	−	9.01405i	−1.23417	−	0.330694i	−0.417965	−	0.908463i	$-0.637257\pi$
$743$	−33.6409	−	9.01405i	−1.23417	−	0.330694i	−0.816200	+	0.577770i	$0.803923\pi$
$744$	7.77959	−	0.460391i	0.285214	−	0.0168787i
$745$	0.0177626	+	0.0662909i	0.000650771	+	0.00242871i
$746$		−	10.4128i		−	0.381240i
$747$	23.6771	−	2.81224i	0.866299	−	0.102894i
$748$	−23.2740	+	14.6083i	−0.850982	+	0.534131i
$749$	10.6308	−	18.4131i	0.388441	−	0.672799i
$750$	−1.62840	+	1.07319i	−0.0594606	+	0.0391874i
$751$	−11.3913	−	3.05229i	−0.415675	−	0.111380i	0.0449193	−	0.998991i	$-0.485697\pi$
$751$	−11.3913	−	3.05229i	−0.415675	−	0.111380i	−0.460594	+	0.887611i	$0.652364\pi$
$752$	9.34895	+	16.1928i	0.340921	+	0.590492i
$753$	−10.5017	−	31.5937i	−0.382704	−	1.15134i
$754$	−4.01003	+	1.07448i	−0.146037	+	0.0391304i
$755$	−0.857966	−	0.857966i	−0.0312246	−	0.0312246i
$756$	6.63391	+	37.0167i	0.241273	+	1.34629i
$757$			3.86773i			0.140575i	0.997527	+	0.0702875i	$0.0223917\pi$
$757$			3.86773i			0.140575i	−0.997527	+	0.0702875i	$0.977608\pi$
$758$	6.01420	−	1.61150i	0.218446	−	0.0585323i
$759$	−43.3635	+	14.4140i	−1.57399	+	0.523195i
$760$	−2.69948	−	0.723323i	−0.0979203	−	0.0262377i
$761$	−25.0010	−	43.3031i	−0.906287	−	1.56974i	−0.819180	−	0.573536i	$-0.805571\pi$
$761$	−25.0010	−	43.3031i	−0.906287	−	1.56974i	−0.0871068	−	0.996199i	$-0.527762\pi$
$762$	−1.20752	−	0.248160i	−0.0437440	−	0.00898987i
$763$	−11.7013	−	6.75574i	−0.423615	−	0.244574i
$764$	42.4885			1.53718
$765$	−0.702521	−	4.49206i	−0.0253997	−	0.162411i
$766$	−1.43136			−0.0517172
$767$	−3.10876	−	1.79484i	−0.112251	−	0.0648081i
$768$	−10.1586	+	11.4366i	−0.366567	+	0.412683i
$769$	−1.80656	−	3.12905i	−0.0651462	−	0.112837i	0.831613	−	0.555356i	$-0.187418\pi$
$769$	−1.80656	−	3.12905i	−0.0651462	−	0.112837i	−0.896759	+	0.442520i	$0.854085\pi$
$770$	−1.46754	−	0.393225i	−0.0528864	−	0.0141709i
$771$	−27.9648	−	24.8399i	−1.00713	−	0.894585i
$772$	29.5815	−	7.92634i	1.06466	−	0.285275i
$773$			7.20158i			0.259023i	0.991578	+	0.129512i	$0.0413409\pi$
$773$			7.20158i			0.259023i	−0.991578	+	0.129512i	$0.958659\pi$
$774$	−2.08131	−	0.893186i	−0.0748110	−	0.0321049i
$775$	−12.7692	−	12.7692i	−0.458682	−	0.458682i
$776$	−3.66632	+	0.982386i	−0.131613	+	0.0352656i
$777$	−14.1974	−	2.91773i	−0.509330	−	0.104673i
$778$	1.79010	+	3.10054i	0.0641781	+	0.111160i
$779$	34.2385	+	9.17417i	1.22672	+	0.328699i
$780$	−2.30998	−	1.15742i	−0.0827107	−	0.0414423i
$781$	14.0910	−	24.4064i	0.504217	−	0.873330i
$782$	5.12900	+	8.17156i	0.183413	+	0.292214i
$783$	−11.0593	+	30.6518i	−0.395227	+	1.09541i
$784$			25.5766i			0.913450i
$785$	2.02623	+	7.56198i	0.0723191	+	0.269898i
$786$	−3.80882	+	7.60165i	−0.135856	+	0.271142i
$787$	−19.6101	−	5.25450i	−0.699023	−	0.187303i	−0.108230	−	0.994126i	$-0.534518\pi$
$787$	−19.6101	−	5.25450i	−0.699023	−	0.187303i	−0.590793	+	0.806823i	$0.701185\pi$
$788$	−3.83908	+	14.3276i	−0.136762	+	0.510401i
$789$	−2.26642	+	11.0282i	−0.0806867	+	0.392615i
$790$	−0.152303	−	0.0879320i	−0.00541868	−	0.00312848i
$791$			8.72723i			0.310305i
$792$	−10.0013	−	7.87776i	−0.355382	−	0.279924i
$793$	−16.6690	−	16.6690i	−0.591935	−	0.591935i
$794$	−0.521462	−	1.94612i	−0.0185060	−	0.0690653i
$795$	−7.99616	+	0.473208i	−0.283595	+	0.0167829i
$796$	8.12305	+	2.17657i	0.287914	+	0.0771463i
$797$	−25.2137	+	14.5571i	−0.893116	+	0.515641i	−0.874960	−	0.484195i	$-0.839113\pi$
$797$	−25.2137	+	14.5571i	−0.893116	+	0.515641i	−0.0181554	+	0.999835i	$0.505779\pi$
$798$	−12.8038	+	0.757719i	−0.453249	+	0.0268229i
$799$	−16.4651	−	15.2923i	−0.582494	−	0.541002i
$800$	−16.9764			−0.600207
$801$	8.33431	−	6.22886i	0.294478	−	0.220086i
$802$	1.77186	−	1.77186i	0.0625667	−	0.0625667i
$803$	1.86606	−	3.23211i	0.0658519	−	0.114059i
$804$	32.8925	+	6.75978i	1.16003	+	0.238399i
$805$	2.72566	−	10.1723i	0.0960669	−	0.358527i
$806$	−0.636000	+	2.37359i	−0.0224022	+	0.0836060i
$807$	−22.3348	−	11.1909i	−0.786223	−	0.393938i
$808$	3.45191	+	1.99296i	0.121438	+	0.0701121i
$809$	28.7225	+	28.7225i	1.00983	+	1.00983i	0.999951	+	0.00987757i	$0.00314418\pi$
$809$	28.7225	+	28.7225i	1.00983	+	1.00983i	0.00987757	+	0.999951i	$0.496856\pi$
$810$	0.902362	−	0.490903i	0.0317058	−	0.0172486i
$811$	7.10361	−	7.10361i	0.249441	−	0.249441i	−0.571300	−	0.820741i	$-0.693561\pi$
$811$	7.10361	−	7.10361i	0.249441	−	0.249441i	0.820741	+	0.571300i	$0.193561\pi$
$812$	−22.6934	+	39.3060i	−0.796381	+	1.37937i
$813$	−8.57383	−	25.7937i	−0.300697	−	0.904626i
$814$	2.07225	−	1.19641i	0.0726322	−	0.0419342i
$815$	2.77821	+	4.81200i	0.0973165	+	0.168557i
$816$	10.1595	−	22.2949i	0.355654	−	0.780478i
$817$	−7.62506	+	13.2070i	−0.266767	+	0.462054i
$818$		−	2.00368i		−	0.0700572i
$819$	−24.0662	−	3.47934i	−0.840942	−	0.121578i
$820$	−3.95411			−0.138083
$821$	5.27782	+	19.6971i	0.184197	+	0.687434i	0.994801	+	0.101838i	$0.0324725\pi$
$821$	5.27782	+	19.6971i	0.184197	+	0.687434i	−0.810604	+	0.585595i	$0.800861\pi$
$822$	7.01809	+	6.23385i	0.244784	+	0.217430i
$823$	10.2048	−	38.0850i	0.355718	−	1.32756i	−0.523860	−	0.851804i	$-0.675508\pi$
$823$	10.2048	−	38.0850i	0.355718	−	1.32756i	0.879578	−	0.475754i	$-0.157825\pi$
$824$	−9.34553	+	5.39565i	−0.325567	+	0.187966i
$825$	1.74279	+	29.4494i	0.0606763	+	1.02530i
$826$	1.92012	−	0.514495i	0.0668096	−	0.0179016i
$827$	−2.98397	−	2.98397i	−0.103763	−	0.103763i	0.653320	−	0.757082i	$-0.273376\pi$
$827$	−2.98397	−	2.98397i	−0.103763	−	0.103763i	−0.757082	+	0.653320i	$0.773376\pi$
$828$	26.6281	−	33.8062i	0.925392	−	1.17485i
$829$	−0.201934			−0.00701346			−0.00350673	−	0.999994i	$-0.501116\pi$
$829$	−0.201934			−0.00701346			−0.00350673	+	0.999994i	$0.501116\pi$
$830$	−0.234790	−	0.876247i	−0.00814967	−	0.0304150i
$831$	18.9930	−	12.5173i	0.658861	−	0.434220i
$832$	−6.15904	−	10.6678i	−0.213526	−	0.369838i
$833$	−9.04593	−	29.3768i	−0.313423	−	1.01785i
$834$	0.301468	−	0.601670i	0.0104390	−	0.0208341i
$835$	−1.40841	−	0.813146i	−0.0487400	−	0.0281401i
$836$	−29.5595	+	29.5595i	−1.02234	+	1.02234i
$837$	12.4394	+	14.7407i	0.429968	+	0.509513i
$838$	−0.199953	+	0.199953i	−0.00690726	+	0.00690726i
$839$	23.0981	−	6.18910i	0.797433	−	0.213672i	0.162977	−	0.986630i	$-0.447891\pi$
$839$	23.0981	−	6.18910i	0.797433	−	0.213672i	0.634457	+	0.772958i	$0.281224\pi$
$840$	2.78426	−	0.925487i	0.0960662	−	0.0319323i
$841$	−8.94383	+	5.16372i	−0.308408	+	0.178059i
$842$	−6.85390	+	3.95710i	−0.236201	+	0.136371i
$843$	9.64545	−	46.9340i	0.332207	−	1.61649i
$844$	13.8178	−	3.70246i	0.475627	−	0.127444i
$845$	−2.19757	+	2.19757i	−0.0755988	+	0.0755988i
$846$	2.00221	−	4.66555i	0.0688373	−	0.160405i
$847$	−3.38077	+	3.38077i	−0.116165	+	0.116165i
$848$	−37.3814	−	21.5822i	−1.28368	−	0.741134i
$849$	27.8808	−	1.64997i	0.956867	−	0.0566268i
$850$	5.95269	−	1.83300i	0.204176	−	0.0628713i
$851$	8.29299	+	14.3639i	0.284280	+	0.492387i
$852$	1.56788	+	26.4938i	0.0537148	+	0.907662i
$853$	13.6078	+	50.7850i	0.465922	+	1.73884i	0.653815	+	0.756655i	$0.273168\pi$
$853$	13.6078	+	50.7850i	0.465922	+	1.73884i	−0.187893	+	0.982190i	$0.560166\pi$
$854$	13.0543			0.446709
$855$	−2.56572	−	6.42336i	−0.0877459	−	0.219674i
$856$	−4.79315	−	4.79315i	−0.163826	−	0.163826i
$857$	19.0296	−	5.09897i	0.650040	−	0.174178i	0.0812929	−	0.996690i	$-0.474095\pi$
$857$	19.0296	−	5.09897i	0.650040	−	0.174178i	0.568747	+	0.822513i	$0.307428\pi$
$858$	3.35190	−	2.20906i	0.114432	−	0.0754162i
$859$	43.1852	−	24.9330i	1.47346	−	0.850703i	0.473906	−	0.880575i	$-0.342844\pi$
$859$	43.1852	−	24.9330i	1.47346	−	0.850703i	0.999554	+	0.0298726i	$0.00951017\pi$
$860$	0.440299	−	1.64322i	0.0150141	−	0.0560333i
$861$	−35.3138	+	11.7383i	−1.20349	+	0.400040i
$862$	1.64934	+	6.15541i	0.0561766	+	0.209654i
$863$	46.1864			1.57220			0.786101	−	0.618098i	$-0.212097\pi$
$863$	46.1864			1.57220			0.786101	+	0.618098i	$0.212097\pi$
$864$	18.0677	+	1.52979i	0.614677	+	0.0520445i
$865$		−	5.43409i		−	0.184765i
$866$	−1.14572	+	1.98444i	−0.0389331	+	0.0674342i
$867$	−3.78378	+	29.2007i	−0.128504	+	0.991709i
$868$	13.4325	+	23.2657i	0.455928	+	0.789690i
$869$	−4.67170	+	2.69721i	−0.158477	+	0.0914966i
$870$	1.21439	+	0.249571i	0.0411718	+	0.00846126i
$871$	−10.8564	+	18.8039i	−0.367857	+	0.637146i
$872$	−3.04598	+	3.04598i	−0.103150	+	0.103150i
$873$	−7.37977	−	5.81283i	−0.249767	−	0.196734i
$874$	10.3784	+	10.3784i	0.351054	+	0.351054i
$875$	−11.9393	−	6.89317i	−0.403623	−	0.233032i
$876$	0.207633	+	3.50854i	0.00701528	+	0.118543i
$877$	−3.40913	+	12.7230i	−0.115118	+	0.429626i	−0.999296	−	0.0375244i	$-0.988053\pi$
$877$	−3.40913	+	12.7230i	−0.115118	+	0.429626i	0.884178	+	0.467151i	$0.154719\pi$
$878$	−0.229023	+	0.854725i	−0.00772915	+	0.0288456i
$879$	−2.29233	+	2.58072i	−0.0773184	+	0.0870454i
$880$	2.20754	−	3.82358i	0.0744163	−	0.128893i
$881$	24.1366	−	24.1366i	0.813184	−	0.813184i	−0.171926	−	0.985110i	$-0.554999\pi$
$881$	24.1366	−	24.1366i	0.813184	−	0.813184i	0.985110	+	0.171926i	$0.0549991\pi$
$882$	5.56284	−	4.15753i	0.187311	−	0.139991i
$883$	43.7314			1.47168			0.735840	−	0.677156i	$-0.236788\pi$
$883$	43.7314			1.47168			0.735840	+	0.677156i	$0.236788\pi$
$884$	12.2604	+	11.3870i	0.412360	+	0.382987i
$885$	0.589910	+	0.895094i	0.0198296	+	0.0300883i
$886$	3.34822	−	1.93310i	0.112486	−	0.0649437i
$887$	1.33017	+	0.356417i	0.0446626	+	0.0119673i	0.281081	−	0.959684i	$-0.409307\pi$
$887$	1.33017	+	0.356417i	0.0446626	+	0.0119673i	−0.236419	+	0.971651i	$0.575974\pi$
$888$	−2.07003	+	4.13138i	−0.0694658	+	0.138640i
$889$	−2.25547	−	8.41753i	−0.0756461	−	0.282315i
$890$	−0.279918	−	0.279918i	−0.00938287	−	0.00938287i
$891$	0.798930	−	31.4996i	0.0267652	−	1.05527i
$892$			17.9917i			0.602406i
$893$	−29.6054	−	17.0927i	−0.990708	−	0.571985i
$894$	0.0952915	−	0.0316748i	0.00318702	−	0.00105936i
$895$	−1.56862	+	5.85416i	−0.0524331	+	0.195683i
$896$	32.2194	+	8.63317i	1.07638	+	0.288414i
$897$	15.3122	+	23.2339i	0.511260	+	0.775757i
$898$	2.22499	+	8.30379i	0.0742490	+	0.277101i
$899$			23.2784i			0.776378i
$900$	−16.6319	−	22.2537i	−0.554395	−	0.741789i
$901$	50.5688	+	11.5678i	1.68469	+	0.385380i
$902$	3.07178	−	5.32048i	0.102279	−	0.177152i
$903$	−0.945836	−	15.9825i	−0.0314754	−	0.531865i
$904$	2.68757	+	0.720133i	0.0893873	+	0.0239513i
$905$	1.56024	+	2.70242i	0.0518643	+	0.0898316i
$906$	−1.17901	+	1.32734i	−0.0391701	+	0.0440978i
$907$	6.46108	−	1.73124i	0.214537	−	0.0574850i	−0.149950	−	0.988694i	$-0.547911\pi$
$907$	6.46108	−	1.73124i	0.214537	−	0.0574850i	0.364487	+	0.931209i	$0.381245\pi$
$908$	−37.2356	−	37.2356i	−1.23571	−	1.23571i
$909$	1.16354	+	9.79620i	0.0385922	+	0.324920i
$910$			0.925151i			0.0306685i
$911$	−13.7993	+	3.69751i	−0.457191	+	0.122504i	−0.480062	−	0.877234i	$-0.659386\pi$
$911$	−13.7993	+	3.69751i	−0.457191	+	0.122504i	0.0228711	+	0.999738i	$0.492719\pi$
$912$	7.50315	−	36.5097i	0.248454	−	1.20896i
$913$	−26.8778	−	7.20190i	−0.889527	−	0.238348i
$914$	−0.141529	−	0.245136i	−0.00468138	−	0.00810838i
$915$	2.22058	+	6.68046i	0.0734102	+	0.220849i
$916$	28.9395	+	16.7082i	0.956187	+	0.552055i
$917$	−60.1046			−1.98483
$918$	−6.50053	+	1.41442i	−0.214550	+	0.0466828i
$919$	40.8679			1.34811			0.674054	−	0.738682i	$-0.264552\pi$
$919$	40.8679			1.34811			0.674054	+	0.738682i	$0.264552\pi$
$920$	−2.90768	−	1.67875i	−0.0958633	−	0.0553467i
$921$	6.46953	+	19.4631i	0.213178	+	0.641332i
$922$	1.82195	+	3.15571i	0.0600028	+	0.103928i
$923$	−16.5762	−	4.44157i	−0.545611	−	0.146196i
$924$	8.83477	−	42.9893i	0.290643	−	1.41424i
$925$	10.3428	−	2.77135i	0.340070	−	0.0911214i
$926$			1.27144i			0.0417820i
$927$	−24.5436	−	10.5328i	−0.806117	−	0.345943i
$928$	15.4741	+	15.4741i	0.507963	+	0.507963i
$929$	−17.6794	+	4.73717i	−0.580042	+	0.155422i	−0.536898	−	0.843647i	$-0.680404\pi$
$929$	−17.6794	+	4.73717i	−0.580042	+	0.155422i	−0.0431436	+	0.999069i	$0.513737\pi$
$930$	0.487340	−	0.548649i	0.0159805	−	0.0179909i
$931$	−23.3809	−	40.4969i	−0.766277	−	1.32723i
$932$	3.20051	+	0.857573i	0.104836	+	0.0280907i
$933$	−2.70763	−	45.7529i	−0.0886437	−	1.49788i
$934$	4.52187	−	7.83212i	0.147960	−	0.256275i
$935$	−1.18322	+	5.17246i	−0.0386955	+	0.169157i
$936$	−3.05731	+	7.12416i	−0.0999314	+	0.232860i
$937$		−	14.1604i		−	0.462599i	−0.972883	−	0.231300i	$-0.925702\pi$
$937$		−	14.1604i		−	0.462599i	0.972883	−	0.231300i	$-0.0742978\pi$
$938$	−3.11202	−	11.6142i	−0.101611	−	0.379217i
$939$	−32.3592	−	49.1000i	−1.05600	−	1.60232i
$940$	3.68352	+	0.986995i	0.120143	+	0.0321922i
$941$	−7.04748	+	26.3016i	−0.229741	+	0.857407i	0.750708	+	0.660634i	$0.229713\pi$
$941$	−7.04748	+	26.3016i	−0.229741	+	0.857407i	−0.980449	+	0.196772i	$0.936954\pi$
$942$	10.8701	−	3.61323i	0.354169	−	0.117725i
$943$	36.8791	+	21.2922i	1.20095	+	0.693369i
$944$			5.77669i			0.188015i
$945$	5.96007	+	4.14848i	0.193881	+	0.134950i
$946$	1.86899	+	1.86899i	0.0607662	+	0.0607662i
$947$	6.32420	+	23.6022i	0.205509	+	0.766970i	0.989294	+	0.145937i	$0.0466198\pi$
$947$	6.32420	+	23.6022i	0.205509	+	0.766970i	−0.783785	+	0.621032i	$0.786714\pi$
$948$	2.27572	−	4.54189i	0.0739120	−	0.147514i
$949$	−2.19516	−	0.588192i	−0.0712580	−	0.0190935i
$950$	8.20597	−	4.73772i	0.266237	−	0.153712i
$951$	29.9556	+	45.4529i	0.971377	+	1.47391i
$952$	−18.9884	+	0.701264i	−0.615418	+	0.0227281i
$953$	−27.6284			−0.894971			−0.447485	−	0.894291i	$-0.647680\pi$
$953$	−27.6284			−0.894971			−0.447485	+	0.894291i	$0.647680\pi$
$954$	1.38237	+	11.6386i	0.0447558	+	0.376813i
$955$	5.80140	−	5.80140i	0.187729	−	0.187729i
$956$	4.31050	−	7.46600i	0.139412	−	0.241468i
$957$	25.2547	−	28.4319i	0.816370	−	0.919072i
$958$	−1.66610	+	6.21798i	−0.0538293	+	0.200894i
$959$	−17.1744	+	64.0958i	−0.554591	+	2.06976i
$960$	0.217316	+	3.67217i	0.00701386	+	0.118519i
$961$	−14.9140	−	8.61062i	−0.481098	−	0.277762i
$962$	−1.03030	−	1.03030i	−0.0332182	−	0.0332182i
$963$	2.40051	−	16.6041i	0.0773553	−	0.535059i
$964$	−31.8847	+	31.8847i	−1.02694	+	1.02694i
$965$	2.95680	−	5.12133i	0.0951829	−	0.164862i
$966$	−15.0936	−	3.10191i	−0.485630	−	0.0998023i
$967$	35.5293	−	20.5128i	1.14254	−	0.659648i	0.195485	−	0.980707i	$-0.437372\pi$
$967$	35.5293	−	20.5128i	1.14254	−	0.659648i	0.947059	+	0.321058i	$0.104038\pi$
$968$	0.762151	+	1.32008i	0.0244965	+	0.0424291i
$969$	4.29477	+	44.5881i	0.137968	+	1.43238i
$970$	−0.178706	+	0.309528i	−0.00573791	+	0.00993836i
$971$		−	36.0558i		−	1.15709i	−0.815652	−	0.578543i	$-0.803621\pi$
$971$		−	36.0558i		−	1.15709i	0.815652	−	0.578543i	$-0.196379\pi$
$972$	15.6957	+	25.1830i	0.503440	+	0.807745i
$973$	4.75728			0.152511
$974$	−0.678405	−	2.53184i	−0.0217375	−	0.0811254i
$975$	17.0469	−	5.66638i	0.545937	−	0.181469i
$976$	−9.81848	+	36.6431i	−0.314282	+	1.17292i
$977$	7.69593	−	4.44325i	0.246215	−	0.142152i	−0.371815	−	0.928307i	$-0.621264\pi$
$977$	7.69593	−	4.44325i	0.246215	−	0.142152i	0.618030	+	0.786155i	$0.287931\pi$
$978$	6.78843	−	4.47390i	0.217070	−	0.143060i
$979$	−11.7289	+	3.14275i	−0.374857	+	0.100443i
$980$	3.68853	+	3.68853i	0.117826	+	0.117826i
$981$	−10.5517	−	1.52549i	−0.336890	−	0.0487053i
$982$	6.06136			0.193426
$983$	14.5909	+	54.4540i	0.465377	+	1.73681i	0.655635	+	0.755078i	$0.272401\pi$
$983$	14.5909	+	54.4540i	0.465377	+	1.73681i	−0.190258	+	0.981734i	$0.560933\pi$
$984$	0.700895	+	11.8436i	0.0223437	+	0.377559i
$985$	1.43211	+	2.48049i	0.0456308	+	0.0790349i
$986$	−7.09671	−	3.75513i	−0.226005	−	0.119588i
$987$	35.8272	−	2.12023i	1.14039	−	0.0674877i
$988$	22.0450	+	12.7277i	0.701344	+	0.404921i
$989$	−12.9550	+	12.9550i	−0.411946	+	0.411946i
$990$	−1.19046	+	0.141396i	−0.0378353	+	0.00449387i
$991$	−38.3846	+	38.3846i	−1.21933	+	1.21933i	−0.251457	+	0.967868i	$0.580910\pi$
$991$	−38.3846	+	38.3846i	−1.21933	+	1.21933i	−0.967868	+	0.251457i	$0.919090\pi$
$992$	12.5119	−	3.35254i	0.397252	−	0.106443i
$993$	−8.18761	+	39.8402i	−0.259826	+	1.26429i
$994$	8.22999	−	4.75159i	0.261039	−	0.150711i
$995$	1.40631	−	0.811935i	0.0445831	−	0.0257401i
$996$	24.8670	−	8.26577i	0.787941	−	0.261911i
$997$	24.2598	−	6.50038i	0.768314	−	0.205869i	0.146688	−	0.989183i	$-0.453139\pi$
$997$	24.2598	−	6.50038i	0.768314	−	0.205869i	0.621627	+	0.783314i	$0.286472\pi$
$998$	−0.711275	+	0.711275i	−0.0225150	+	0.0225150i
$999$	−11.2574	+	2.01749i	−0.356170	+	0.0638305i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	153.2.n.a.106.7	yes	64
3.2	odd	2		459.2.o.a.208.10		64
9.4	even	3	inner	153.2.n.a.4.10	✓	64
9.5	odd	6		459.2.o.a.361.7		64
17.13	even	4	inner	153.2.n.a.115.10	yes	64
51.47	odd	4		459.2.o.a.370.7		64
153.13	even	12	inner	153.2.n.a.13.7	yes	64
153.149	odd	12		459.2.o.a.64.10		64

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
153.2.n.a.4.10	✓	64	9.4	even	3	inner
153.2.n.a.13.7	yes	64	153.13	even	12	inner
153.2.n.a.106.7	yes	64	1.1	even	1	trivial
153.2.n.a.115.10	yes	64	17.13	even	4	inner
459.2.o.a.64.10		64	153.149	odd	12
459.2.o.a.208.10		64	3.2	odd	2
459.2.o.a.361.7		64	9.5	odd	6
459.2.o.a.370.7		64	51.47	odd	4

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:	\( N \)	\(=\)	\( 153 = 3^{2} \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	153.n (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.268917 - 0.155259i) q^{2} +(-0.546341 - 1.64363i) q^{3} +(-0.951789 - 1.64855i) q^{4} +(-0.355051 - 0.0951356i) q^{5} +(-0.108268 + 0.526823i) q^{6} +(-3.67243 + 0.984025i) q^{7} +1.21213i q^{8} +(-2.40302 + 1.79596i) q^{9} +O(q^{10})\)	\(q+(-0.268917 - 0.155259i) q^{2} +(-0.546341 - 1.64363i) q^{3} +(-0.951789 - 1.64855i) q^{4} +(-0.355051 - 0.0951356i) q^{5} +(-0.108268 + 0.526823i) q^{6} +(-3.67243 + 0.984025i) q^{7} +1.21213i q^{8} +(-2.40302 + 1.79596i) q^{9} +(0.0807084 + 0.0807084i) q^{10} +(3.38178 - 0.906145i) q^{11} +(-2.18960 + 2.46506i) q^{12} +(-1.06595 - 1.84629i) q^{13} +(1.14036 + 0.305558i) q^{14} +(0.0376113 + 0.635548i) q^{15} +(-1.71538 + 2.97113i) q^{16} +(0.919429 - 4.01928i) q^{17} +(0.925052 - 0.109873i) q^{18} -6.27248i q^{19} +(0.181098 + 0.675867i) q^{20} +(3.62377 + 5.49850i) q^{21} +(-1.05010 - 0.281375i) q^{22} +(1.95036 - 7.27885i) q^{23} +(1.99229 - 0.662237i) q^{24} +(-4.21312 - 2.43244i) q^{25} +0.661997i q^{26} +(4.26476 + 2.96847i) q^{27} +(5.11759 + 5.11759i) q^{28} +(1.62310 + 6.05748i) q^{29} +(0.0885603 - 0.176749i) q^{30} +(3.58549 + 0.960730i) q^{31} +(3.02207 - 1.74479i) q^{32} +(-3.33697 - 5.06332i) q^{33} +(-0.871280 + 0.938103i) q^{34} +1.39752 q^{35} +(5.24790 + 2.25212i) q^{36} +(-1.55635 + 1.55635i) q^{37} +(-0.973860 + 1.68677i) q^{38} +(-2.45224 + 2.76074i) q^{39} +(0.115317 - 0.430368i) q^{40} +(-1.46261 + 5.45852i) q^{41} +(-0.120800 - 2.04126i) q^{42} +(-2.10555 - 1.21564i) q^{43} +(-4.71257 - 4.71257i) q^{44} +(1.02405 - 0.409045i) q^{45} +(-1.65459 + 1.65459i) q^{46} +(2.72503 - 4.71989i) q^{47} +(5.82062 + 1.19620i) q^{48} +(6.45628 - 3.72753i) q^{49} +(0.755318 + 1.30825i) q^{50} +(-7.10853 + 0.684701i) q^{51} +(-2.02913 + 3.51455i) q^{52} +12.5815i q^{53} +(-0.685984 - 1.46041i) q^{54} -1.28691 q^{55} +(-1.19277 - 4.45147i) q^{56} +(-10.3096 + 3.42691i) q^{57} +(0.504001 - 1.88096i) q^{58} +(1.45821 - 0.841895i) q^{59} +(1.01193 - 0.666911i) q^{60} +(10.6807 - 2.86189i) q^{61} +(-0.815037 - 0.815037i) q^{62} +(7.05767 - 8.96018i) q^{63} +5.77796 q^{64} +(0.202820 + 0.756936i) q^{65} +(0.111240 + 1.87971i) q^{66} +(-5.09236 - 8.82022i) q^{67} +(-7.50108 + 2.30979i) q^{68} +(-13.0293 + 0.771064i) q^{69} +(-0.375815 - 0.216977i) q^{70} +(5.69189 - 5.69189i) q^{71} +(-2.17694 - 2.91278i) q^{72} +(0.753771 - 0.753771i) q^{73} +(0.660166 - 0.176891i) q^{74} +(-1.69623 + 8.25374i) q^{75} +(-10.3405 + 5.97008i) q^{76} +(-11.5277 + 6.65551i) q^{77} +(1.08808 - 0.361676i) q^{78} +(-1.48829 + 0.398785i) q^{79} +(0.891709 - 0.891709i) q^{80} +(2.54904 - 8.63148i) q^{81} +(1.24080 - 1.24080i) q^{82} +(-6.88303 - 3.97392i) q^{83} +(5.61547 - 11.2074i) q^{84} +(-0.708821 + 1.33958i) q^{85} +(0.377478 + 0.653811i) q^{86} +(9.06947 - 5.97721i) q^{87} +(1.09837 + 4.09917i) q^{88} -3.46826 q^{89} +(-0.338893 - 0.0489950i) q^{90} +(5.73144 + 5.73144i) q^{91} +(-13.8559 + 3.71267i) q^{92} +(-0.379819 - 6.41810i) q^{93} +(-1.46561 + 0.846172i) q^{94} +(-0.596736 + 2.22705i) q^{95} +(-4.51886 - 4.01390i) q^{96} +(0.810461 + 3.02468i) q^{97} -2.31493 q^{98} +(-6.49909 + 8.25104i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 64 q - 6 q^{3} + 24 q^{4} - 2 q^{5} - 10 q^{6} - 2 q^{7}+O(q^{10}) \) 64 * q - 6 * q^3 + 24 * q^4 - 2 * q^5 - 10 * q^6 - 2 * q^7	\( 64 q - 6 q^{3} + 24 q^{4} - 2 q^{5} - 10 q^{6} - 2 q^{7} - 16 q^{10} - 24 q^{12} - 4 q^{13} - 16 q^{16} - 8 q^{17} - 8 q^{18} + 18 q^{20} - 16 q^{21} - 4 q^{22} - 8 q^{23} - 2 q^{24} - 10 q^{29} - 36 q^{30} - 2 q^{31} + 12 q^{33} + 20 q^{34} - 128 q^{35} - 8 q^{37} - 24 q^{38} + 34 q^{39} - 20 q^{40} + 32 q^{41} + 20 q^{44} + 20 q^{45} - 40 q^{46} - 64 q^{47} + 62 q^{48} + 48 q^{50} + 40 q^{51} + 36 q^{52} - 46 q^{54} - 16 q^{55} + 12 q^{56} + 72 q^{57} - 10 q^{58} - 2 q^{61} - 28 q^{62} + 64 q^{63} - 8 q^{64} + 8 q^{65} - 4 q^{67} - 60 q^{68} - 24 q^{69} - 84 q^{71} + 72 q^{72} - 44 q^{73} - 14 q^{74} + 46 q^{75} - 56 q^{78} + 10 q^{79} + 204 q^{80} + 44 q^{81} - 52 q^{82} - 60 q^{84} + 22 q^{85} + 32 q^{86} + 16 q^{88} + 128 q^{89} - 66 q^{90} + 44 q^{91} + 136 q^{92} + 4 q^{95} - 2 q^{96} - 44 q^{97} + 208 q^{98} + 6 q^{99}+O(q^{100}) \) 64 * q - 6 * q^3 + 24 * q^4 - 2 * q^5 - 10 * q^6 - 2 * q^7 - 16 * q^10 - 24 * q^12 - 4 * q^13 - 16 * q^16 - 8 * q^17 - 8 * q^18 + 18 * q^20 - 16 * q^21 - 4 * q^22 - 8 * q^23 - 2 * q^24 - 10 * q^29 - 36 * q^30 - 2 * q^31 + 12 * q^33 + 20 * q^34 - 128 * q^35 - 8 * q^37 - 24 * q^38 + 34 * q^39 - 20 * q^40 + 32 * q^41 + 20 * q^44 + 20 * q^45 - 40 * q^46 - 64 * q^47 + 62 * q^48 + 48 * q^50 + 40 * q^51 + 36 * q^52 - 46 * q^54 - 16 * q^55 + 12 * q^56 + 72 * q^57 - 10 * q^58 - 2 * q^61 - 28 * q^62 + 64 * q^63 - 8 * q^64 + 8 * q^65 - 4 * q^67 - 60 * q^68 - 24 * q^69 - 84 * q^71 + 72 * q^72 - 44 * q^73 - 14 * q^74 + 46 * q^75 - 56 * q^78 + 10 * q^79 + 204 * q^80 + 44 * q^81 - 52 * q^82 - 60 * q^84 + 22 * q^85 + 32 * q^86 + 16 * q^88 + 128 * q^89 - 66 * q^90 + 44 * q^91 + 136 * q^92 + 4 * q^95 - 2 * q^96 - 44 * q^97 + 208 * q^98 + 6 * q^99

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