LMFDB - Embedded newform 585.2.dt.a.7.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [585,2,Mod(7,585)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(585, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([8, 3, 11]))

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

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

chi := DirichletCharacter("585.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 585 = 3^{2} \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	585.dt (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:	$4.67124851824$
Analytic rank:	$0$
Dimension:	$320$
Relative dimension:	$80$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			7.7
Character	$\chi$	$=$	585.7
Dual form			585.2.dt.a.418.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-2.16279 + 1.24869i) q^{2} +(-1.43832 - 0.965006i) q^{3} +(2.11844 - 3.66924i) q^{4} +(-1.77479 - 1.36020i) q^{5} +(4.31577 + 0.291092i) q^{6} +3.86204 q^{7} +5.58630i q^{8} +(1.13753 + 2.77597i) q^{9} +O(q^{10})$	\(q+(-2.16279 + 1.24869i) q^{2} +(-1.43832 - 0.965006i) q^{3} +(2.11844 - 3.66924i) q^{4} +(-1.77479 - 1.36020i) q^{5} +(4.31577 + 0.291092i) q^{6} +3.86204 q^{7} +5.58630i q^{8} +(1.13753 + 2.77597i) q^{9} +(5.53694 + 0.725669i) q^{10} +(3.25468 + 0.872090i) q^{11} +(-6.58782 + 3.23324i) q^{12} +(-3.26684 - 1.52570i) q^{13} +(-8.35277 + 4.82247i) q^{14} +(1.24011 + 3.66908i) q^{15} +(-2.73867 - 4.74351i) q^{16} +(-5.97992 - 1.60231i) q^{17} +(-5.92655 - 4.58343i) q^{18} +(2.41508 + 0.647118i) q^{19} +(-8.75066 + 3.63062i) q^{20} +(-5.55484 - 3.72689i) q^{21} +(-8.12816 + 2.17793i) q^{22} +(6.00571 + 6.00571i) q^{23} +(5.39081 - 8.03489i) q^{24} +(1.29973 + 4.82812i) q^{25} +(8.97060 - 0.779486i) q^{26} +(1.04270 - 5.09046i) q^{27} +(8.18147 - 14.1707i) q^{28} +(4.45905 - 2.57443i) q^{29} +(-7.26362 - 6.38693i) q^{30} +(0.800870 - 2.98889i) q^{31} +(2.17056 + 1.25317i) q^{32} +(-3.83971 - 4.39513i) q^{33} +(14.9341 - 4.00158i) q^{34} +(-6.85429 - 5.25313i) q^{35} +(12.5955 + 1.70686i) q^{36} +(-1.00233 + 1.73608i) q^{37} +(-6.03135 + 1.61610i) q^{38} +(3.22645 + 5.34697i) q^{39} +(7.59847 - 9.91448i) q^{40} +(-1.07585 - 1.07585i) q^{41} +(16.6677 + 1.12421i) q^{42} +(4.19739 + 4.19739i) q^{43} +(10.0947 - 10.0947i) q^{44} +(1.75700 - 6.47402i) q^{45} +(-20.4883 - 5.48983i) q^{46} +(-1.26403 + 2.18936i) q^{47} +(-0.638434 + 9.46551i) q^{48} +7.91532 q^{49} +(-8.83984 - 8.81924i) q^{50} +(7.05480 + 8.07530i) q^{51} +(-12.5188 + 8.75471i) q^{52} +(7.17099 - 7.17099i) q^{53} +(4.10125 + 12.3116i) q^{54} +(-4.59015 - 5.97478i) q^{55} +21.5745i q^{56} +(-2.84918 - 3.26133i) q^{57} +(-6.42932 + 11.1359i) q^{58} +(0.204105 - 0.0546899i) q^{59} +(16.0898 + 3.22244i) q^{60} +3.94153 q^{61} +(2.00007 + 7.46437i) q^{62} +(4.39318 + 10.7209i) q^{63} +4.69540 q^{64} +(3.72268 + 7.15134i) q^{65} +(13.7926 + 4.71115i) q^{66} -13.2671i q^{67} +(-18.5474 + 18.5474i) q^{68} +(-2.84259 - 14.4337i) q^{69} +(21.3839 + 2.80256i) q^{70} +(1.94746 - 7.26802i) q^{71} +(-15.5074 + 6.35458i) q^{72} -4.94114i q^{73} -5.00636i q^{74} +(2.78974 - 8.19862i) q^{75} +(7.49062 - 7.49062i) q^{76} +(12.5697 + 3.36804i) q^{77} +(-13.6548 - 7.53553i) q^{78} +(-2.39745 - 1.38417i) q^{79} +(-1.59156 + 12.1438i) q^{80} +(-6.41206 + 6.31550i) q^{81} +(3.67025 + 0.983440i) q^{82} +(4.09172 - 7.08706i) q^{83} +(-25.4424 + 12.4869i) q^{84} +(8.43361 + 10.9776i) q^{85} +(-14.3193 - 3.83684i) q^{86} +(-8.89789 - 0.600149i) q^{87} +(-4.87176 + 18.1816i) q^{88} +(1.31975 - 0.353627i) q^{89} +(4.28400 + 16.1959i) q^{90} +(-12.6166 - 5.89232i) q^{91} +(34.7591 - 9.31367i) q^{92} +(-4.03620 + 3.52613i) q^{93} -6.31350i q^{94} +(-3.40604 - 4.43348i) q^{95} +(-1.91264 - 3.89706i) q^{96} -4.51979i q^{97} +(-17.1192 + 9.88376i) q^{98} +(1.28140 + 10.0269i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 320 q - 6 q^{2} - 2 q^{3} + 152 q^{4} - 2 q^{5} - 8 q^{6} - 4 q^{7} + 12 q^{9}+O(q^{10}) $ 320 * q - 6 * q^2 - 2 * q^3 + 152 * q^4 - 2 * q^5 - 8 * q^6 - 4 * q^7 + 12 * q^9	$ 320 q - 6 q^{2} - 2 q^{3} + 152 q^{4} - 2 q^{5} - 8 q^{6} - 4 q^{7} + 12 q^{9} - 16 q^{10} + 22 q^{12} - 2 q^{13} - 48 q^{14} - 6 q^{15} - 132 q^{16} - 12 q^{17} + 4 q^{18} + 6 q^{20} - 4 q^{21} + 2 q^{22} - 16 q^{23} - 16 q^{24} - 20 q^{27} - 24 q^{28} + 10 q^{30} - 4 q^{31} + 18 q^{32} - 42 q^{33} - 16 q^{34} - 46 q^{35} - 12 q^{36} - 4 q^{37} + 32 q^{38} + 8 q^{39} - 20 q^{40} + 4 q^{41} - 8 q^{42} + 8 q^{44} + 4 q^{45} - 16 q^{46} - 14 q^{47} + 140 q^{48} + 224 q^{49} - 70 q^{50} + 6 q^{52} - 16 q^{53} + 24 q^{54} - 4 q^{55} + 72 q^{57} - 14 q^{58} - 16 q^{59} + 40 q^{60} - 8 q^{61} - 28 q^{62} - 72 q^{63} - 192 q^{64} - 2 q^{65} - 76 q^{68} - 24 q^{69} - 44 q^{70} - 2 q^{72} + 38 q^{75} + 28 q^{76} - 44 q^{77} + 42 q^{78} + 4 q^{80} + 8 q^{81} + 20 q^{82} + 8 q^{83} + 16 q^{84} + 56 q^{85} - 40 q^{86} + 2 q^{87} - 2 q^{88} + 64 q^{90} - 16 q^{91} - 56 q^{92} + 32 q^{93} - 6 q^{95} + 104 q^{96} - 282 q^{98} - 68 q^{99}+O(q^{100}) $ 320 * q - 6 * q^2 - 2 * q^3 + 152 * q^4 - 2 * q^5 - 8 * q^6 - 4 * q^7 + 12 * q^9 - 16 * q^10 + 22 * q^12 - 2 * q^13 - 48 * q^14 - 6 * q^15 - 132 * q^16 - 12 * q^17 + 4 * q^18 + 6 * q^20 - 4 * q^21 + 2 * q^22 - 16 * q^23 - 16 * q^24 - 20 * q^27 - 24 * q^28 + 10 * q^30 - 4 * q^31 + 18 * q^32 - 42 * q^33 - 16 * q^34 - 46 * q^35 - 12 * q^36 - 4 * q^37 + 32 * q^38 + 8 * q^39 - 20 * q^40 + 4 * q^41 - 8 * q^42 + 8 * q^44 + 4 * q^45 - 16 * q^46 - 14 * q^47 + 140 * q^48 + 224 * q^49 - 70 * q^50 + 6 * q^52 - 16 * q^53 + 24 * q^54 - 4 * q^55 + 72 * q^57 - 14 * q^58 - 16 * q^59 + 40 * q^60 - 8 * q^61 - 28 * q^62 - 72 * q^63 - 192 * q^64 - 2 * q^65 - 76 * q^68 - 24 * q^69 - 44 * q^70 - 2 * q^72 + 38 * q^75 + 28 * q^76 - 44 * q^77 + 42 * q^78 + 4 * q^80 + 8 * q^81 + 20 * q^82 + 8 * q^83 + 16 * q^84 + 56 * q^85 - 40 * q^86 + 2 * q^87 - 2 * q^88 + 64 * q^90 - 16 * q^91 - 56 * q^92 + 32 * q^93 - 6 * q^95 + 104 * q^96 - 282 * q^98 - 68 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/585\mathbb{Z}\right)^\times$.

$n$	$326$	$352$	$496$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{11}{12}\right)$

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 $

$2$	−2.16279	+	1.24869i	−1.52932	+	0.882955i	−0.529932	+	0.848040i	$0.677783\pi$
$2$	−2.16279	+	1.24869i	−1.52932	+	0.882955i	−0.999390	+	0.0349145i	$0.988884\pi$
$3$	−1.43832	−	0.965006i	−0.830414	−	0.557146i
$3$	−1.43832	−	0.965006i	−0.830414	−	0.557146i
$4$	2.11844	−	3.66924i	1.05922	−	1.83462i
$5$	−1.77479	−	1.36020i	−0.793708	−	0.608299i
$5$	−1.77479	−	1.36020i	−0.793708	−	0.608299i
$6$	4.31577	+	0.291092i	1.76191	+	0.118838i
$7$	3.86204			1.45971			0.729856	−	0.683601i	$-0.239587\pi$
$7$	3.86204			1.45971			0.729856	+	0.683601i	$0.239587\pi$
$8$			5.58630i			1.97506i
$9$	1.13753	+	2.77597i	0.379176	+	0.925325i
$10$	5.53694	+	0.725669i	1.75094	+	0.229477i
$11$	3.25468	+	0.872090i	0.981324	+	0.262945i	0.713602	−	0.700551i	$-0.247062\pi$
$11$	3.25468	+	0.872090i	0.981324	+	0.262945i	0.267722	+	0.963496i	$0.413729\pi$
$12$	−6.58782	+	3.23324i	−1.90174	+	0.933355i
$13$	−3.26684	−	1.52570i	−0.906058	−	0.423154i
$13$	−3.26684	−	1.52570i	−0.906058	−	0.423154i
$14$	−8.35277	+	4.82247i	−2.23237	+	1.28886i
$15$	1.24011	+	3.66908i	0.320195	+	0.947352i
$16$	−2.73867	−	4.74351i	−0.684667	−	1.18588i
$17$	−5.97992	−	1.60231i	−1.45034	−	0.388618i	−0.554201	−	0.832383i	$-0.686976\pi$
$17$	−5.97992	−	1.60231i	−1.45034	−	0.388618i	−0.896143	+	0.443765i	$0.853643\pi$
$18$	−5.92655	−	4.58343i	−1.39690	−	1.08032i
$19$	2.41508	+	0.647118i	0.554057	+	0.148459i	0.524975	−	0.851118i	$-0.324075\pi$
$19$	2.41508	+	0.647118i	0.554057	+	0.148459i	0.0290823	+	0.999577i	$0.490741\pi$
$20$	−8.75066	+	3.63062i	−1.95671	+	0.811831i
$21$	−5.55484	−	3.72689i	−1.21217	−	0.813273i
$22$	−8.12816	+	2.17793i	−1.73293	+	0.464337i
$23$	6.00571	+	6.00571i	1.25228	+	1.25228i	0.954696	+	0.297581i	$0.0961799\pi$
$23$	6.00571	+	6.00571i	1.25228	+	1.25228i	0.297581	+	0.954696i	$0.403820\pi$
$24$	5.39081	−	8.03489i	1.10039	−	1.64011i
$25$	1.29973	+	4.82812i	0.259945	+	0.965623i
$26$	8.97060	−	0.779486i	1.75928	−	0.152870i
$27$	1.04270	−	5.09046i	0.200668	−	0.979659i
$28$	8.18147	−	14.1707i	1.54615	−	2.67802i
$29$	4.45905	−	2.57443i	0.828025	−	0.478060i	−0.0251510	−	0.999684i	$-0.508007\pi$
$29$	4.45905	−	2.57443i	0.828025	−	0.478060i	0.853176	+	0.521623i	$0.174673\pi$
$30$	−7.26362	−	6.38693i	−1.32615	−	1.16609i
$31$	0.800870	−	2.98889i	0.143841	−	0.536820i	−0.855964	−	0.517036i	$-0.827035\pi$
$31$	0.800870	−	2.98889i	0.143841	−	0.536820i	0.999804	−	0.0197843i	$-0.00629794\pi$
$32$	2.17056	+	1.25317i	0.383704	+	0.221531i
$33$	−3.83971	−	4.39513i	−0.668407	−	0.765094i
$34$	14.9341	−	4.00158i	2.56118	−	0.686265i
$35$	−6.85429	−	5.25313i	−1.15859	−	0.887941i
$36$	12.5955	+	1.70686i	2.09925	+	0.284476i
$37$	−1.00233	+	1.73608i	−0.164781	+	0.285410i	−0.936578	−	0.350460i	$-0.886025\pi$
$37$	−1.00233	+	1.73608i	−0.164781	+	0.285410i	0.771796	+	0.635870i	$0.219359\pi$
$38$	−6.03135	+	1.61610i	−0.978414	+	0.262165i
$39$	3.22645	+	5.34697i	0.516645	+	0.856200i
$40$	7.59847	−	9.91448i	1.20142	−	1.56762i
$41$	−1.07585	−	1.07585i	−0.168020	−	0.168020i	0.618088	−	0.786109i	$-0.287907\pi$
$41$	−1.07585	−	1.07585i	−0.168020	−	0.168020i	−0.786109	+	0.618088i	$0.787907\pi$
$42$	16.6677	+	1.12421i	2.57188	+	0.173469i
$43$	4.19739	+	4.19739i	0.640096	+	0.640096i	0.950579	−	0.310483i	$-0.100491\pi$
$43$	4.19739	+	4.19739i	0.640096	+	0.640096i	−0.310483	+	0.950579i	$0.600491\pi$
$44$	10.0947	−	10.0947i	1.52184	−	1.52184i
$45$	1.75700	−	6.47402i	0.261919	−	0.965090i
$46$	−20.4883	−	5.48983i	−3.02084	−	0.809432i
$47$	−1.26403	+	2.18936i	−0.184378	+	0.319351i	−0.943367	−	0.331752i	$-0.892360\pi$
$47$	−1.26403	+	2.18936i	−0.184378	+	0.319351i	0.758989	+	0.651103i	$0.225694\pi$
$48$	−0.638434	+	9.46551i	−0.0921501	+	1.36623i
$49$	7.91532			1.13076
$50$	−8.83984	−	8.81924i	−1.25014	−	1.24723i
$51$	7.05480	+	8.07530i	0.987869	+	1.13077i
$52$	−12.5188	+	8.75471i	−1.73604	+	1.21406i
$53$	7.17099	−	7.17099i	0.985011	−	0.985011i	−0.0148783	−	0.999889i	$-0.504736\pi$
$53$	7.17099	−	7.17099i	0.985011	−	0.985011i	0.999889	+	0.0148783i	$0.00473607\pi$
$54$	4.10125	+	12.3116i	0.558109	+	1.67540i
$55$	−4.59015	−	5.97478i	−0.618936	−	0.805640i
$56$			21.5745i			2.88301i
$57$	−2.84918	−	3.26133i	−0.377383	−	0.431973i
$58$	−6.42932	+	11.1359i	−0.844211	+	1.46222i
$59$	0.204105	−	0.0546899i	0.0265723	−	0.00712002i	−0.245508	−	0.969394i	$-0.578955\pi$
$59$	0.204105	−	0.0546899i	0.0265723	−	0.00712002i	0.272081	+	0.962274i	$0.412288\pi$
$60$	16.0898	+	3.22244i	2.07719	+	0.416015i
$61$	3.94153			0.504661			0.252331	−	0.967641i	$-0.418803\pi$
$61$	3.94153			0.504661			0.252331	+	0.967641i	$0.418803\pi$
$62$	2.00007	+	7.46437i	0.254009	+	0.947976i
$63$	4.39318	+	10.7209i	0.553488	+	1.35071i
$64$	4.69540			0.586925
$65$	3.72268	+	7.15134i	0.461742	+	0.887014i
$66$	13.7926	+	4.71115i	1.69775	+	0.579903i
$67$		−	13.2671i		−	1.62083i	−0.585856	−	0.810415i	$-0.699242\pi$
$67$		−	13.2671i		−	1.62083i	0.585856	−	0.810415i	$-0.300758\pi$
$68$	−18.5474	+	18.5474i	−2.24920	+	2.24920i
$69$	−2.84259	−	14.4337i	−0.342208	−	1.73761i
$70$	21.3839	+	2.80256i	2.55586	+	0.334970i
$71$	1.94746	−	7.26802i	0.231121	−	0.862556i	−0.748738	−	0.662866i	$-0.769340\pi$
$71$	1.94746	−	7.26802i	0.231121	−	0.862556i	0.979859	−	0.199690i	$-0.0639934\pi$
$72$	−15.5074	+	6.35458i	−1.82757	+	0.748894i
$73$		−	4.94114i		−	0.578317i	−0.957281	−	0.289159i	$-0.906624\pi$
$73$		−	4.94114i		−	0.578317i	0.957281	−	0.289159i	$-0.0933755\pi$
$74$		−	5.00636i		−	0.581978i
$75$	2.78974	−	8.19862i	0.322131	−	0.946695i
$76$	7.49062	−	7.49062i	0.859233	−	0.859233i
$77$	12.5697	+	3.36804i	1.43245	+	0.383824i
$78$	−13.6548	−	7.53553i	−1.54610	−	0.853231i
$79$	−2.39745	−	1.38417i	−0.269735	−	0.155731i	0.359032	−	0.933325i	$-0.383107\pi$
$79$	−2.39745	−	1.38417i	−0.269735	−	0.155731i	−0.628767	+	0.777594i	$0.716440\pi$
$80$	−1.59156	+	12.1438i	−0.177942	+	1.35772i
$81$	−6.41206	+	6.31550i	−0.712451	+	0.701722i
$82$	3.67025	+	0.983440i	0.405311	+	0.108603i
$83$	4.09172	−	7.08706i	0.449124	−	0.777906i	−0.549205	−	0.835688i	$-0.685069\pi$
$83$	4.09172	−	7.08706i	0.449124	−	0.777906i	0.998329	+	0.0577815i	$0.0184027\pi$
$84$	−25.4424	+	12.4869i	−2.77599	+	1.36243i
$85$	8.43361	+	10.9776i	0.914754	+	1.19069i
$86$	−14.3193	−	3.83684i	−1.54409	−	0.413738i
$87$	−8.89789	−	0.600149i	−0.953953	−	0.0643427i
$88$	−4.87176	+	18.1816i	−0.519331	+	1.93817i
$89$	1.31975	−	0.353627i	0.139893	−	0.0374843i	−0.188193	−	0.982132i	$-0.560263\pi$
$89$	1.31975	−	0.353627i	0.139893	−	0.0374843i	0.328086	+	0.944648i	$0.393596\pi$
$90$	4.28400	+	16.1959i	0.451573	+	1.70720i
$91$	−12.6166	−	5.89232i	−1.32258	−	0.617683i
$92$	34.7591	−	9.31367i	3.62389	−	0.971018i
$93$	−4.03620	+	3.52613i	−0.418535	+	0.365643i
$94$		−	6.31350i		−	0.651188i
$95$	−3.40604	−	4.43348i	−0.349452	−	0.454865i
$96$	−1.91264	−	3.89706i	−0.195208	−	0.397742i
$97$		−	4.51979i		−	0.458915i	−0.973319	−	0.229457i	$-0.926305\pi$
$97$		−	4.51979i		−	0.458915i	0.973319	−	0.229457i	$-0.0736951\pi$
$98$	−17.1192	+	9.88376i	−1.72930	+	0.998410i
$99$	1.28140	+	10.0269i	0.128785	+	1.00775i
$100$	20.4689	+	5.45905i	2.04689	+	0.545905i
$101$	10.6259	−	6.13488i	1.05732	−	0.610444i	0.132630	−	0.991166i	$-0.457658\pi$
$101$	10.6259	−	6.13488i	1.05732	−	0.610444i	0.924690	+	0.380722i	$0.124324\pi$
$102$	−25.3415	−	8.65593i	−2.50919	−	0.857065i
$103$	−0.732960	+	2.73544i	−0.0722207	+	0.269531i	−0.992589	−	0.121522i	$-0.961223\pi$
$103$	−0.732960	+	2.73544i	−0.0722207	+	0.269531i	0.920368	+	0.391053i	$0.127889\pi$
$104$	8.52303	−	18.2495i	0.835752	−	1.78951i
$105$	4.78935	+	14.1701i	0.467393	+	1.38286i
$106$	−6.55501	+	24.4636i	−0.636679	+	2.37612i
$107$	17.9928	−	4.82115i	1.73943	−	0.466078i	0.757109	−	0.653289i	$-0.226611\pi$
$107$	17.9928	−	4.82115i	1.73943	−	0.466078i	0.982320	+	0.187211i	$0.0599447\pi$
$108$	−16.4692	−	14.6097i	−1.58475	−	1.40582i
$109$	−7.97367	+	7.97367i	−0.763739	+	0.763739i	−0.976996	−	0.213257i	$-0.931593\pi$
$109$	−7.97367	+	7.97367i	−0.763739	+	0.763739i	0.213257	+	0.976996i	$0.431593\pi$
$110$	17.3882	+	7.19054i	1.65790	+	0.685591i
$111$	3.11699	−	1.52979i	0.295852	−	0.145201i
$112$	−10.5768	−	18.3196i	−0.999416	−	1.73104i
$113$	1.86586	+	6.96350i	0.175526	+	0.655071i	0.996462	+	0.0840502i	$0.0267856\pi$
$113$	1.86586	+	6.96350i	0.175526	+	0.655071i	−0.820936	+	0.571020i	$0.806548\pi$
$114$	10.2346	+	3.49582i	0.958554	+	0.327414i
$115$	−2.48990	−	18.8278i	−0.232184	−	1.75570i
$116$		−	21.8151i		−	2.02548i
$117$	0.519187	−	10.8042i	0.0479988	−	0.998847i
$118$	−0.373146	+	0.373146i	−0.0343509	+	0.0343509i
$119$	−23.0947	−	6.18820i	−2.11708	−	0.567271i
$120$	−20.4966	+	6.92763i	−1.87107	+	0.632403i
$121$	0.306147	+	0.176754i	0.0278315	+	0.0160685i
$122$	−8.52470	+	4.92174i	−0.771790	+	0.445593i
$123$	0.509217	+	2.58563i	0.0459146	+	0.233138i
$124$	−9.27035	−	9.27035i	−0.832502	−	0.832502i
$125$	4.26046	−	10.3368i	0.381067	−	0.924547i
$126$	−22.8886	−	17.7014i	−2.03908	−	1.57696i
$127$	0.964275	+	3.59872i	0.0855656	+	0.319335i	0.995421	−	0.0955911i	$-0.0304741\pi$
$127$	0.964275	+	3.59872i	0.0855656	+	0.319335i	−0.909855	+	0.414926i	$0.863807\pi$
$128$	−14.4963	+	8.36942i	−1.28130	+	0.739759i
$129$	−1.98669	−	10.0877i	−0.174918	−	0.888172i
$130$	−16.9811	−	10.8184i	−1.48935	−	0.948834i
$131$	−4.60809	−	7.98144i	−0.402611	−	0.697342i	0.591430	−	0.806357i	$-0.298564\pi$
$131$	−4.60809	−	7.98144i	−0.402611	−	0.697342i	−0.994040	+	0.109015i	$0.965230\pi$
$132$	−24.2610	+	4.77799i	−2.11164	+	0.415870i
$133$	9.32712	+	2.49919i	0.808764	+	0.216708i
$134$	16.5664	+	28.6939i	1.43112	+	2.47877i
$135$	−8.77460	+	7.61619i	−0.755197	+	0.655498i
$136$	8.95101	−	33.4056i	0.767543	−	2.86451i
$137$	−3.84850			−0.328799			−0.164400	−	0.986394i	$-0.552569\pi$
$137$	−3.84850			−0.328799			−0.164400	+	0.986394i	$0.552569\pi$
$138$	24.1711	+	27.6675i	2.05758	+	2.35521i
$139$	−13.4041	−	7.73886i	−1.13692	−	0.656402i	−0.191255	−	0.981540i	$-0.561256\pi$
$139$	−13.4041	−	7.73886i	−1.13692	−	0.656402i	−0.945666	+	0.325139i	$0.894589\pi$
$140$	−33.7953	+	14.0216i	−2.85623	+	1.18504i
$141$	3.93083	−	1.92921i	0.331035	−	0.162469i
$142$	4.86354	+	18.1510i	0.408139	+	1.52320i
$143$	−9.30198	−	7.81465i	−0.777870	−	0.653494i
$144$	10.0525	−	12.9983i	0.837712	−	1.08320i
$145$	−11.4156	−	1.49612i	−0.948014	−	0.124246i
$146$	6.16994	+	10.6867i	0.510628	+	0.884433i
$147$	−11.3848	−	7.63833i	−0.939000	−	0.629999i
$148$	4.24673	+	7.35555i	0.349079	+	0.604622i
$149$	−4.24000	−	15.8239i	−0.347354	−	1.29634i	−0.889838	−	0.456277i	$-0.849183\pi$
$149$	−4.24000	−	15.8239i	−0.347354	−	1.29634i	0.542484	−	0.840066i	$-0.317484\pi$
$150$	4.20389	+	21.2154i	0.343246	+	1.73223i
$151$	−3.06799	−	11.4499i	−0.249670	−	0.931779i	−0.970979	−	0.239166i	$-0.923126\pi$
$151$	−3.06799	−	11.4499i	−0.249670	−	0.931779i	0.721309	−	0.692613i	$-0.243541\pi$
$152$	−3.61500	+	13.4914i	−0.293215	+	1.09429i
$153$	−2.35435	−	18.4228i	−0.190338	−	1.48939i
$154$	−31.3912	+	8.41126i	−2.52958	+	0.677799i
$155$	−5.48685	+	4.21529i	−0.440714	+	0.338580i
$156$	26.4543	−	0.511404i	2.11804	−	0.0409451i
$157$	0.852648	−	3.18213i	0.0680487	−	0.253961i	−0.923519	−	0.383553i	$-0.874700\pi$
$157$	0.852648	−	3.18213i	0.0680487	−	0.253961i	0.991567	+	0.129592i	$0.0413668\pi$
$158$	6.91358			0.550015
$159$	−17.2342	+	3.39413i	−1.36676	+	0.269172i
$160$	−2.14771	−	5.17649i	−0.169791	−	0.409238i
$161$	23.1943	+	23.1943i	1.82797	+	1.82797i
$162$	5.98185	−	21.6657i	0.469978	−	1.70222i
$163$	5.18709	−	2.99477i	0.406285	−	0.234568i	−0.282908	−	0.959147i	$-0.591299\pi$
$163$	5.18709	−	2.99477i	0.406285	−	0.234568i	0.689192	+	0.724579i	$0.257966\pi$
$164$	−6.22669	+	1.66844i	−0.486223	+	0.130283i
$165$	0.836404	+	13.0232i	0.0651140	+	1.01385i
$166$			20.4371i			1.58623i
$167$	11.5357			0.892657			0.446328	−	0.894869i	$-0.352731\pi$
$167$	11.5357			0.892657			0.446328	+	0.894869i	$0.352731\pi$
$168$	20.8195	−	31.0310i	1.60626	−	2.39410i
$169$	8.34447	+	9.96844i	0.641882	+	0.766803i
$170$	−31.9477	−	13.2114i	−2.45028	−	1.01327i
$171$	0.950837	+	7.44031i	0.0727123	+	0.568975i
$172$	24.2931	−	6.50933i	1.85233	−	0.496331i
$173$	14.7734	+	14.7734i	1.12320	+	1.12320i	0.991258	+	0.131940i	$0.0421208\pi$
$173$	14.7734	+	14.7734i	1.12320	+	1.12320i	0.131940	+	0.991258i	$0.457879\pi$
$174$	19.9936	−	9.81267i	1.51571	−	0.743897i
$175$	5.01959	+	18.6464i	0.379445	+	1.40953i
$176$	−4.77673	−	17.8270i	−0.360059	−	1.34376i
$177$	−0.346345	−	0.118301i	−0.0260329	−	0.00889207i
$178$	−2.41278	+	2.41278i	−0.180845	+	0.180845i
$179$	−8.54054	+	14.7926i	−0.638350	+	1.10565i	0.347445	+	0.937700i	$0.387049\pi$
$179$	−8.54054	+	14.7926i	−0.638350	+	1.10565i	−0.985795	+	0.167954i	$0.946284\pi$
$180$	−20.0326	−	20.1617i	−1.49314	−	1.50276i
$181$			4.72115i			0.350920i	0.984487	+	0.175460i	$0.0561413\pi$
$181$			4.72115i			0.350920i	−0.984487	+	0.175460i	$0.943859\pi$
$182$	34.6448	−	3.01040i	2.56804	−	0.223146i
$183$	−5.66918	−	3.80360i	−0.419078	−	0.281170i
$184$	−33.5497	+	33.5497i	−2.47332	+	2.47332i
$185$	4.14033	−	1.71781i	0.304403	−	0.126296i
$186$	4.32641	−	12.6662i	0.317228	−	0.928733i
$187$	−18.0654	−	10.4301i	−1.32107	−	0.762721i
$188$	5.35553	+	9.27605i	0.390592	+	0.676525i
$189$	4.02694	−	19.6595i	0.292917	−	1.43002i
$190$	12.9026	+	5.33560i	0.936050	+	0.387085i
$191$	−23.2545			−1.68263			−0.841317	−	0.540542i	$-0.818219\pi$
$191$	−23.2545			−1.68263			−0.841317	+	0.540542i	$0.818219\pi$
$192$	−6.75348	−	4.53108i	−0.487391	−	0.327003i
$193$		−	5.27209i		−	0.379493i	−0.981833	−	0.189747i	$-0.939233\pi$
$193$		−	5.27209i		−	0.379493i	0.981833	−	0.189747i	$-0.0607666\pi$
$194$	5.64379	+	9.77534i	0.405201	+	0.701828i
$195$	1.54668	−	13.8783i	0.110760	−	0.993847i
$196$	16.7681	−	29.0432i	1.19772	−	2.07451i
$197$	−8.24074	−	4.75780i	−0.587129	−	0.338979i	0.176833	−	0.984241i	$-0.443415\pi$
$197$	−8.24074	−	4.75780i	−0.587129	−	0.338979i	−0.763961	+	0.645262i	$0.776748\pi$
$198$	−15.2919	−	20.0861i	−1.08675	−	1.42746i
$199$	10.3324	+	17.8962i	0.732442	+	1.26863i	0.955836	+	0.293899i	$0.0949530\pi$
$199$	10.3324	+	17.8962i	0.732442	+	1.26863i	−0.223394	+	0.974728i	$0.571714\pi$
$200$	−26.9713	+	7.26066i	−1.90716	+	0.513406i
$201$	−12.8028	+	19.0823i	−0.903039	+	1.34596i
$202$	−15.3211	+	26.5369i	−1.07799	+	1.86713i
$203$	17.2210	−	9.94256i	1.20868	−	0.697831i
$204$	44.5753	−	8.77873i	3.12090	−	0.614634i
$205$	0.446036	+	3.37278i	0.0311525	+	0.235565i
$206$	−1.83047	−	6.83143i	−0.127535	−	0.475968i
$207$	−9.84003	+	23.5034i	−0.683929	+	1.63360i
$208$	1.70960	+	19.6747i	0.118539	+	1.36419i
$209$	7.29597	+	4.21233i	0.504673	+	0.291373i
$210$	−28.0524	−	24.6665i	−1.93580	−	1.70215i
$211$	15.8067			1.08818			0.544089	−	0.839027i	$-0.316875\pi$
$211$	15.8067			1.08818			0.544089	+	0.839027i	$0.316875\pi$
$212$	−11.1208	−	41.5033i	−0.763779	−	2.85046i
$213$	−9.81476	+	8.57443i	−0.672496	+	0.587510i
$214$	−32.8945	+	32.8945i	−2.24862	+	2.24862i
$215$	−1.74019	−	13.1588i	−0.118680	−	0.897419i
$216$	28.4368	+	5.82484i	1.93488	+	0.396330i
$217$	3.09299	−	11.5432i	0.209966	−	0.783603i
$218$	7.28875	−	27.2020i	0.493656	−	1.84235i
$219$	−4.76823	+	7.10695i	−0.322207	+	0.480243i
$220$	−31.6468	+	4.18516i	−2.13363	+	0.282163i
$221$	17.0908	+	14.3581i	1.14965	+	0.965829i
$222$	−4.83117	+	7.20075i	−0.324247	+	0.483283i
$223$	−2.12126	−	3.67412i	−0.142050	−	0.246037i	0.786219	−	0.617948i	$-0.212036\pi$
$223$	−2.12126	−	3.67412i	−0.142050	−	0.246037i	−0.928268	+	0.371911i	$0.878703\pi$
$224$	8.38276	+	4.83979i	0.560097	+	0.323372i
$225$	−11.9242	+	9.10013i	−0.794950	+	0.606675i
$226$	−12.7307	−	12.7307i	−0.846833	−	0.846833i
$227$		−	1.09457i		−	0.0726492i	−0.999340	−	0.0363246i	$-0.988435\pi$
$227$		−	1.09457i		−	0.0726492i	0.999340	−	0.0363246i	$-0.0115650\pi$
$228$	−18.0024	+	3.54542i	−1.19224	+	0.234801i
$229$	0.275866	−	1.02954i	0.0182297	−	0.0680342i	−0.956212	−	0.292676i	$-0.905454\pi$
$229$	0.275866	−	1.02954i	0.0182297	−	0.0680342i	0.974442	+	0.224641i	$0.0721211\pi$
$230$	28.8951	+	37.6115i	1.90529	+	2.48003i
$231$	−14.8291	−	16.9742i	−0.975682	−	1.11682i
$232$	14.3816	+	24.9096i	0.944196	+	1.63540i
$233$	−3.01298	−	3.01298i	−0.197387	−	0.197387i	0.601492	−	0.798879i	$-0.294573\pi$
$233$	−3.01298	−	3.01298i	−0.197387	−	0.197387i	−0.798879	+	0.601492i	$0.794573\pi$
$234$	12.3681	+	24.0155i	0.808531	+	1.56994i
$235$	5.22135	−	2.16632i	0.340603	−	0.141315i
$236$	0.231714	−	0.864768i	0.0150833	−	0.0562916i
$237$	2.11257	+	4.30444i	0.137226	+	0.279603i
$238$	57.6760	−	15.4542i	3.73858	−	1.00175i
$239$	19.7898	+	5.30265i	1.28009	+	0.343000i	0.833890	−	0.551931i	$-0.186109\pi$
$239$	19.7898	+	5.30265i	1.28009	+	0.343000i	0.446204	+	0.894931i	$0.352776\pi$
$240$	14.0081	−	15.9309i	0.904216	−	1.02833i
$241$	4.02034	−	4.02034i	0.258973	−	0.258973i	−0.565663	−	0.824636i	$-0.691380\pi$
$241$	4.02034	−	4.02034i	0.258973	−	0.258973i	0.824636	+	0.565663i	$0.191380\pi$
$242$	−0.882841			−0.0567512
$243$	15.3171	−	2.89604i	0.982591	−	0.185781i
$244$	8.34988	−	14.4624i	0.534546	−	0.925861i
$245$	−14.0480	−	10.7664i	−0.897494	−	0.687840i
$246$	−4.32997	−	4.95631i	−0.276069	−	0.316003i
$247$	−6.90236	−	5.79872i	−0.439187	−	0.368964i
$248$	16.6968	+	4.47390i	1.06025	+	0.284093i
$249$	−12.7243	+	6.24493i	−0.806367	+	0.395757i
$250$	3.69290	+	27.6762i	0.233559	+	1.75040i
$251$	7.40423	−	4.27484i	0.467351	−	0.269825i	−0.247779	−	0.968817i	$-0.579701\pi$
$251$	7.40423	−	4.27484i	0.467351	−	0.269825i	0.715130	+	0.698991i	$0.246367\pi$
$252$	48.6442	+	6.59195i	3.06430	+	0.415254i
$253$	14.3092	+	24.7842i	0.899610	+	1.55817i
$254$	−6.57920	−	6.57920i	−0.412816	−	0.412816i
$255$	−1.53675	−	23.9278i	−0.0962350	−	1.49842i
$256$	16.2062	−	28.0699i	1.01289	−	1.75437i
$257$	8.56929	−	8.56929i	0.534538	−	0.534538i	−0.387382	−	0.921919i	$-0.626620\pi$
$257$	8.56929	−	8.56929i	0.534538	−	0.534538i	0.921919	+	0.387382i	$0.126620\pi$
$258$	16.8932	+	19.3368i	1.05172	+	1.20386i
$259$	−3.87102	+	6.70480i	−0.240533	+	0.416616i
$260$	34.1262	+	1.49025i	2.11642	+	0.0924213i
$261$	12.2189	+	9.44971i	0.756328	+	0.584923i
$262$	19.9326	+	11.5081i	1.23144	+	0.710974i
$263$	5.43364	+	1.45594i	0.335052	+	0.0897770i	0.422423	−	0.906399i	$-0.361180\pi$
$263$	5.43364	+	1.45594i	0.335052	+	0.0897770i	−0.0873705	+	0.996176i	$0.527846\pi$
$264$	24.5525	−	21.4497i	1.51110	−	1.32014i
$265$	−22.4809	+	2.97301i	−1.38099	+	0.182630i
$266$	−23.2933	+	6.24142i	−1.42820	+	0.382686i
$267$	−2.23948	−	0.764940i	−0.137054	−	0.0468136i
$268$	−48.6800	−	28.1054i	−2.97361	−	1.71681i
$269$	−19.0756	+	11.0133i	−1.16306	+	0.671494i	−0.952036	−	0.305986i	$-0.901014\pi$
$269$	−19.0756	+	11.0133i	−1.16306	+	0.671494i	−0.211026	+	0.977480i	$0.567681\pi$
$270$	9.46736	−	27.4289i	0.576165	−	1.66927i
$271$	7.46141	+	27.8464i	0.453248	+	1.69155i	0.693187	+	0.720758i	$0.256206\pi$
$271$	7.46141	+	27.8464i	0.453248	+	1.69155i	−0.239939	+	0.970788i	$0.577127\pi$
$272$	8.77641	+	32.7540i	0.532148	+	1.98600i
$273$	12.4607	+	20.6502i	0.754153	+	1.24981i
$274$	8.32349	−	4.80557i	0.502840	−	0.290315i
$275$	0.0196448	+	16.8475i	0.00118463	+	1.01594i
$276$	−58.9825	−	20.1467i	−3.55033	−	1.21269i
$277$	−5.11016	+	5.11016i	−0.307040	+	0.307040i	−0.843760	−	0.536720i	$-0.819663\pi$
$277$	−5.11016	+	5.11016i	−0.307040	+	0.307040i	0.536720	+	0.843760i	$0.319663\pi$
$278$	38.6537			2.31829
$279$	9.20809	−	1.17675i	0.551274	−	0.0704502i
$280$	29.3456	−	38.2901i	1.75373	−	2.28827i
$281$	2.45886	+	9.17661i	0.146684	+	0.547431i	0.999675	+	0.0255051i	$0.00811942\pi$
$281$	2.45886	+	9.17661i	0.146684	+	0.547431i	−0.852991	+	0.521925i	$0.825214\pi$
$282$	−6.09257	+	9.08084i	−0.362807	+	0.540756i
$283$	10.0955	+	10.0955i	0.600115	+	0.600115i	0.940343	−	0.340228i	$-0.110504\pi$
$283$	10.0955	+	10.0955i	0.600115	+	0.600115i	−0.340228	+	0.940343i	$0.610504\pi$
$284$	−22.5425	−	22.5425i	−1.33765	−	1.33765i
$285$	0.620638	+	9.66361i	0.0367635	+	0.572423i
$286$	29.8763	+	5.28619i	1.76662	+	0.312579i
$287$	−4.15499	−	4.15499i	−0.245261	−	0.245261i
$288$	−1.00970	+	7.45092i	−0.0594971	+	0.439050i
$289$	18.4696	+	10.6634i	1.08645	+	0.627261i
$290$	26.5577	−	11.0187i	1.55952	−	0.647041i
$291$	−4.36162	+	6.50090i	−0.255683	+	0.381089i
$292$	−18.1302	−	10.4675i	−1.06099	−	0.612564i
$293$	−15.6689	−	9.04642i	−0.915384	−	0.528497i	−0.0332248	−	0.999448i	$-0.510578\pi$
$293$	−15.6689	−	9.04642i	−0.915384	−	0.528497i	−0.882160	+	0.470950i	$0.843911\pi$
$294$	34.1607	+	2.30409i	1.99229	+	0.134377i
$295$	−0.436632	−	0.180561i	−0.0254217	−	0.0105127i
$296$	−9.69826	−	5.59930i	−0.563700	−	0.325452i
$297$	7.83300	−	15.6585i	0.454517	−	0.908599i
$298$	28.9293	+	28.9293i	1.67583	+	1.67583i
$299$	−10.4568	−	28.7826i	−0.604730	−	1.66454i
$300$	−24.1728	−	27.6045i	−1.39562	−	1.59374i
$301$	16.2105	+	16.2105i	0.934356	+	0.934356i
$302$	20.9327	+	20.9327i	1.20454	+	1.20454i
$303$	−21.2037	−	1.43016i	−1.21812	−	0.0821603i
$304$	−3.54448	−	13.2282i	−0.203290	−	0.758689i
$305$	−6.99537	−	5.36126i	−0.400554	−	0.306985i
$306$	28.0962	+	36.9047i	1.60615	+	2.10970i
$307$	14.0742			0.803255			0.401627	−	0.915803i	$-0.368445\pi$
$307$	14.0742			0.803255			0.401627	+	0.915803i	$0.368445\pi$
$308$	38.9863	−	38.9863i	2.22145	−	2.22145i
$309$	3.69395	−	3.22713i	0.210142	−	0.183585i
$310$	6.60332	−	15.9681i	0.375043	−	0.906929i
$311$	−10.3092	+	5.95200i	−0.584579	+	0.337507i	−0.762951	−	0.646456i	$-0.776250\pi$
$311$	−10.3092	+	5.95200i	−0.584579	+	0.337507i	0.178372	+	0.983963i	$0.442917\pi$
$312$	−29.8698	+	18.0239i	−1.69104	+	1.02040i
$313$	7.56408	+	28.2295i	0.427547	+	1.59563i	0.758298	+	0.651908i	$0.226031\pi$
$313$	7.56408	+	28.2295i	0.427547	+	1.59563i	−0.330751	+	0.943718i	$0.607302\pi$
$314$	2.12938	+	7.94695i	0.120168	+	0.448473i
$315$	6.78561	−	25.0029i	0.382326	−	1.40875i
$316$	−10.1577	+	5.86455i	−0.571416	+	0.329907i
$317$	−1.58694	−	0.916218i	−0.0891312	−	0.0514599i	0.454772	−	0.890608i	$-0.349721\pi$
$317$	−1.58694	−	0.916218i	−0.0891312	−	0.0514599i	−0.543903	+	0.839148i	$0.683054\pi$
$318$	33.0358	−	28.8609i	1.85255	−	1.61844i
$319$	16.7579	−	4.49028i	0.938264	−	0.251407i
$320$	−8.33332	−	6.38667i	−0.465847	−	0.357026i
$321$	−30.5318	−	10.4288i	−1.70412	−	0.582078i
$322$	−79.1267	−	21.2019i	−4.40956	−	1.18154i
$323$	−13.4051	−	7.73943i	−0.745879	−	0.430633i
$324$	9.58953	+	36.9063i	0.532752	+	2.05035i
$325$	3.12027	−	17.7557i	0.173082	−	0.984907i
$326$	−7.47906	+	12.9541i	−0.414227	+	0.717462i
$327$	19.1633	−	3.77405i	1.05973	−	0.208706i
$328$	6.01004	−	6.01004i	0.331849	−	0.331849i
$329$	−4.88173	+	8.45540i	−0.269138	+	0.466161i
$330$	−18.0708	−	27.1220i	−0.994766	−	1.49301i
$331$	−7.71172	−	7.71172i	−0.423875	−	0.423875i	0.462661	−	0.886535i	$-0.346895\pi$
$331$	−7.71172	−	7.71172i	−0.423875	−	0.423875i	−0.886535	+	0.462661i	$0.846895\pi$
$332$	−17.3361	−	30.0270i	−0.951441	−	1.64794i
$333$	−5.95949	−	0.807591i	−0.326578	−	0.0442557i
$334$	−24.9492	+	14.4044i	−1.36516	+	0.788175i
$335$	−18.0458	+	23.5462i	−0.985949	+	1.28647i
$336$	−2.46566	+	36.5562i	−0.134513	+	1.99430i
$337$	11.4986	+	3.08105i	0.626370	+	0.167835i	0.558022	−	0.829826i	$-0.311561\pi$
$337$	11.4986	+	3.08105i	0.626370	+	0.167835i	0.0683480	+	0.997662i	$0.478227\pi$
$338$	−30.4948	−	11.1400i	−1.65870	−	0.605937i
$339$	4.03610	−	11.8163i	0.219211	−	0.641774i
$340$	58.1456	−	7.68951i	3.15339	−	0.417022i
$341$	5.21316	−	9.02945i	0.282308	−	0.488972i
$342$	−11.3471	−	14.9045i	−0.613579	−	0.805944i
$343$	3.53501			0.190873
$344$	−23.4479	+	23.4479i	−1.26423	+	1.26423i
$345$	−14.5877	+	29.4832i	−0.785374	+	1.58732i
$346$	−50.3990	−	13.5044i	−2.70946	−	0.725999i
$347$	−11.7665	+	3.15283i	−0.631660	+	0.169253i	−0.560423	−	0.828207i	$-0.689361\pi$
$347$	−11.7665	+	3.15283i	−0.631660	+	0.169253i	−0.0712369	+	0.997459i	$0.522695\pi$
$348$	−21.0517	+	31.3771i	−1.12849	+	1.68199i
$349$	−1.22276	+	4.56341i	−0.0654530	+	0.244274i	−0.990899	−	0.134605i	$-0.957024\pi$
$349$	−1.22276	+	4.56341i	−0.0654530	+	0.244274i	0.925446	+	0.378879i	$0.123690\pi$
$350$	−34.1398	−	34.0602i	−1.82485	−	1.82060i
$351$	−11.1729	+	15.0389i	−0.596363	+	0.802715i
$352$	5.97159	+	5.97159i	0.318287	+	0.318287i
$353$	3.18089	+	5.50946i	0.169302	+	0.293239i	0.938175	−	0.346163i	$-0.112515\pi$
$353$	3.18089	+	5.50946i	0.169302	+	0.293239i	−0.768873	+	0.639402i	$0.779182\pi$
$354$	0.896792	−	0.176616i	0.0476640	−	0.00938701i
$355$	−13.3423	+	10.2503i	−0.708134	+	0.544027i
$356$	1.49827	−	5.59162i	0.0794082	−	0.296355i
$357$	27.2459	+	31.1871i	1.44200	+	1.65060i
$358$		−	42.6578i		−	2.25454i
$359$	−7.98372	−	7.98372i	−0.421365	−	0.421365i	0.464309	−	0.885673i	$-0.346303\pi$
$359$	−7.98372	−	7.98372i	−0.421365	−	0.421365i	−0.885673	+	0.464309i	$0.846303\pi$
$360$	36.1658	+	9.81515i	1.90611	+	0.517304i
$361$	−11.0406	−	6.37432i	−0.581086	−	0.335490i
$362$	−5.89523	−	10.2108i	−0.309847	−	0.536670i
$363$	−0.269768	−	0.549662i	−0.0141592	−	0.0288498i
$364$	−48.3479	+	33.8110i	−2.53412	+	1.77218i
$365$	−6.72093	+	8.76947i	−0.351790	+	0.459015i
$366$	17.0107	+	1.14735i	0.889166	+	0.0599729i
$367$	−4.77820	+	17.8325i	−0.249420	+	0.930848i	0.721690	+	0.692216i	$0.243365\pi$
$367$	−4.77820	+	17.8325i	−0.249420	+	0.930848i	−0.971110	+	0.238632i	$0.923301\pi$
$368$	12.0405	−	44.9358i	0.627655	−	2.34244i
$369$	1.76273	−	4.21036i	0.0917639	−	0.219182i
$370$	−6.80964	+	8.88522i	−0.354017	+	0.461921i
$371$	27.6946	−	27.6946i	1.43783	−	1.43783i
$372$	4.38779	+	22.2797i	0.227496	+	1.15515i
$373$	0.955908	+	3.56750i	0.0494950	+	0.184718i	0.986248	−	0.165274i	$-0.0528509\pi$
$373$	0.955908	+	3.56750i	0.0494950	+	0.184718i	−0.936753	+	0.349992i	$0.886184\pi$
$374$	52.0955			2.69379
$375$	−16.1029	+	10.7562i	−0.831552	+	0.555448i
$376$	−12.2304	−	7.06125i	−0.630737	−	0.364156i
$377$	−18.4948	+	1.60708i	−0.952532	+	0.0827687i
$378$	15.8392	+	47.5478i	0.814679	+	2.44560i
$379$	−1.01939	−	3.80442i	−0.0523626	−	0.195420i	0.934790	−	0.355201i	$-0.115588\pi$
$379$	−1.01939	−	3.80442i	−0.0523626	−	0.195420i	−0.987152	+	0.159781i	$0.948921\pi$
$380$	−23.4830	+	3.10552i	−1.20465	+	0.159310i
$381$	2.08585	−	6.10665i	0.106861	−	0.312853i
$382$	50.2945	−	29.0375i	2.57329	−	1.48569i
$383$	−9.92157	+	17.1847i	−0.506968	+	0.878095i	0.492999	+	0.870030i	$0.335901\pi$
$383$	−9.92157	+	17.1847i	−0.506968	+	0.878095i	−0.999967	+	0.00806509i	$0.997433\pi$
$384$	28.9268	+	1.95107i	1.47616	+	0.0995650i
$385$	−17.7273	−	23.0748i	−0.903468	−	1.17600i
$386$	6.58318	+	11.4024i	0.335075	+	0.580367i
$387$	−6.87720	+	16.4265i	−0.349588	+	0.835006i
$388$	−16.5842	−	9.57487i	−0.841934	−	0.486091i
$389$	15.4349	−	26.7340i	0.782580	−	1.35547i	−0.147854	−	0.989009i	$-0.547237\pi$
$389$	15.4349	−	26.7340i	0.782580	−	1.35547i	0.930434	−	0.366459i	$-0.119430\pi$
$390$	13.9845	+	31.9472i	0.708135	+	1.61771i
$391$	−26.2906	−	45.5367i	−1.32958	−	2.30289i
$392$			44.2174i			2.23331i
$393$	−1.07423	+	15.9267i	−0.0541878	+	0.803396i
$394$	23.7640			1.19721
$395$	2.37222	+	5.71762i	0.119359	+	0.287685i
$396$	39.5058	+	16.5397i	1.98524	+	0.831150i
$397$	1.43603	+	2.48727i	0.0720722	+	0.124833i	0.899809	−	0.436283i	$-0.143705\pi$
$397$	1.43603	+	2.48727i	0.0720722	+	0.124833i	−0.827737	+	0.561116i	$0.810372\pi$
$398$	−44.6935	−	25.8038i	−2.24028	−	1.29343i
$399$	−11.0036	−	12.5954i	−0.550871	−	0.630557i
$400$	19.3427	−	19.3879i	0.967135	−	0.969393i
$401$	11.3572	−	11.3572i	0.567150	−	0.567150i	−0.364179	−	0.931329i	$-0.618650\pi$
$401$	11.3572	−	11.3572i	0.567150	−	0.567150i	0.931329	+	0.364179i	$0.118650\pi$
$402$	3.86194	−	57.2576i	0.192616	−	2.85575i
$403$	−7.17647	+	8.54232i	−0.357485	+	0.425523i
$404$		−	51.9854i		−	2.58637i
$405$	19.9704	−	2.48699i	0.992335	−	0.123579i
$406$	−24.8303	+	43.0073i	−1.23231	+	2.13442i
$407$	−4.77627	+	4.77627i	−0.236751	+	0.236751i
$408$	−45.1110	+	39.4102i	−2.23333	+	1.95110i
$409$	−8.82741	−	32.9444i	−0.436487	−	1.62899i	−0.737482	−	0.675367i	$-0.763985\pi$
$409$	−8.82741	−	32.9444i	−0.436487	−	1.62899i	0.300994	−	0.953626i	$-0.402682\pi$
$410$	−5.17623	−	6.73766i	−0.255636	−	0.332749i
$411$	5.53537	+	3.71382i	0.273040	+	0.183189i
$412$	8.48427	+	8.48427i	0.417990	+	0.417990i
$413$	0.788263	−	0.211214i	0.0387879	−	0.0103932i
$414$	−8.06644	−	63.1199i	−0.396444	−	3.10218i
$415$	−16.9017	+	7.01247i	−0.829673	+	0.344229i
$416$	−5.17889	−	7.40553i	−0.253916	−	0.363086i
$417$	11.8113	+	24.0660i	0.578404	+	1.17852i
$418$	−21.0395			−1.02908
$419$			15.6257i			0.763365i	0.924293	+	0.381683i	$0.124655\pi$
$419$			15.6257i			0.763365i	−0.924293	+	0.381683i	$0.875345\pi$
$420$	62.1394	+	12.4452i	3.03209	+	0.607263i
$421$	−0.798223	+	0.213883i	−0.0389030	+	0.0104240i	−0.278218	−	0.960518i	$-0.589744\pi$
$421$	−0.798223	+	0.213883i	−0.0389030	+	0.0104240i	0.239315	+	0.970942i	$0.423077\pi$
$422$	−34.1866	+	19.7376i	−1.66418	+	0.960812i
$423$	−7.51548	−	1.01845i	−0.365415	−	0.0495187i
$424$	40.0593	+	40.0593i	1.94545	+	1.94545i
$425$	−0.0360940	−	30.9543i	−0.00175082	−	1.50151i
$426$	10.5205	−	30.8002i	0.509718	−	1.49228i
$427$	15.2223			0.736661
$428$	20.4266	−	76.2331i	0.987357	−	3.68487i
$429$	5.83803	+	20.2164i	0.281863	+	0.976059i
$430$	20.1948	+	26.2866i	0.973880	+	1.26765i
$431$	19.3984	−	5.19779i	0.934389	−	0.250369i	0.240663	−	0.970609i	$-0.422635\pi$
$431$	19.3984	−	5.19779i	0.934389	−	0.250369i	0.693725	+	0.720240i	$0.255968\pi$
$432$	−27.0022	+	8.99501i	−1.29915	+	0.432773i
$433$	6.70417	−	25.0203i	0.322182	−	1.20240i	−0.594932	−	0.803776i	$-0.702821\pi$
$433$	6.70417	−	25.0203i	0.322182	−	1.20240i	0.917114	−	0.398624i	$-0.130512\pi$
$434$	7.72435	+	28.8277i	0.370781	+	1.38377i
$435$	14.9755	+	13.1680i	0.718021	+	0.631358i
$436$	12.3656	+	46.1490i	0.592204	+	2.21014i
$437$	10.6179	+	18.3907i	0.507921	+	0.879745i
$438$	1.43833	−	21.3248i	0.0687260	−	1.01894i
$439$	−18.1729	−	31.4763i	−0.867343	−	1.50228i	−0.864701	−	0.502286i	$-0.832492\pi$
$439$	−18.1729	−	31.4763i	−0.867343	−	1.50228i	−0.00264213	−	0.999997i	$-0.500841\pi$
$440$	33.3769	−	25.6420i	1.59118	−	1.22243i
$441$	9.00391	+	21.9727i	0.428757	+	1.04632i
$442$	−54.8925	−	9.71247i	−2.61097	−	0.461975i
$443$	−3.21821	−	12.0105i	−0.152902	−	0.570637i	−0.999276	−	0.0380485i	$-0.987886\pi$
$443$	−3.21821	−	12.0105i	−0.152902	−	0.570637i	0.846374	−	0.532589i	$-0.178781\pi$
$444$	0.989992	−	14.6777i	0.0469829	−	0.696575i
$445$	−2.82328	−	1.16751i	−0.133836	−	0.0553454i
$446$	9.17565	+	5.29757i	0.434480	+	0.250847i
$447$	−9.17166	+	26.8514i	−0.433805	+	1.27003i
$448$	18.1338			0.856741
$449$	−6.83406	+	25.5050i	−0.322519	+	1.20366i	0.594263	+	0.804270i	$0.297444\pi$
$449$	−6.83406	+	25.5050i	−0.322519	+	1.20366i	−0.916782	+	0.399387i	$0.869223\pi$
$450$	14.4264	−	34.5713i	0.680068	−	1.62971i
$451$	−2.56332	−	4.43981i	−0.120702	−	0.209062i
$452$	29.5034	+	7.90542i	1.38772	+	0.371840i
$453$	−6.63646	+	19.4292i	−0.311808	+	0.912866i
$454$	1.36677	+	2.36732i	0.0641459	+	0.111104i
$455$	14.3771	+	27.6187i	0.674010	+	1.29479i
$456$	18.2188	−	15.9164i	0.853171	−	0.745353i
$457$	23.3058	−	13.4556i	1.09020	−	0.629427i	0.156569	−	0.987667i	$-0.449956\pi$
$457$	23.3058	−	13.4556i	1.09020	−	0.629427i	0.933629	+	0.358240i	$0.116623\pi$
$458$	0.688939	+	2.57116i	0.0321920	+	0.120142i
$459$	−14.3918	+	28.7698i	−0.671751	+	1.34286i
$460$	−74.3584	−	30.7495i	−3.46698	−	1.43370i
$461$	29.2091	+	29.2091i	1.36041	+	1.36041i	0.873397	+	0.487008i	$0.161912\pi$
$461$	29.2091	+	29.2091i	1.36041	+	1.36041i	0.487008	+	0.873397i	$0.338088\pi$
$462$	53.2676	+	18.1946i	2.47823	+	0.846491i
$463$	20.6035	−	11.8954i	0.957524	−	0.552826i	0.0621136	−	0.998069i	$-0.480216\pi$
$463$	20.6035	−	11.8954i	0.957524	−	0.552826i	0.895410	+	0.445243i	$0.146883\pi$
$464$	−24.4237	−	14.1010i	−1.13384	−	0.654624i
$465$	11.9596	−	0.768099i	0.554614	−	0.0356197i
$466$	10.2787	+	2.75417i	0.476152	+	0.127584i
$467$	−10.3013	+	10.3013i	−0.476687	+	0.476687i	−0.904070	−	0.427384i	$-0.859435\pi$
$467$	−10.3013	+	10.3013i	−0.476687	+	0.476687i	0.427384	+	0.904070i	$0.359435\pi$
$468$	−38.5433	−	24.7930i	−1.78166	−	1.14606i
$469$		−	51.2379i		−	2.36595i
$470$	−8.58761	+	11.2051i	−0.396117	+	0.516853i
$471$	−4.29715	+	3.75410i	−0.198002	+	0.172980i
$472$	0.305514	+	1.14019i	0.0140624	+	0.0524817i
$473$	10.0007	+	17.3217i	0.459832	+	0.796452i
$474$	−9.94394	−	6.67165i	−0.456740	−	0.306439i
$475$	0.0145771	+	12.5014i	0.000668842	+	0.573602i
$476$	−71.6305	+	71.6305i	−3.28318	+	3.28318i
$477$	28.0637	+	11.7493i	1.28495	+	0.537962i
$478$	−49.4224	+	13.2427i	−2.26053	+	0.605707i
$479$	−7.90256	+	29.4927i	−0.361077	+	1.34756i	0.511585	+	0.859233i	$0.329059\pi$
$479$	−7.90256	+	29.4927i	−0.361077	+	1.34756i	−0.872662	+	0.488325i	$0.837608\pi$
$480$	−1.90625	+	9.51801i	−0.0870080	+	0.434436i
$481$	5.92318	−	4.14224i	0.270074	−	0.188870i
$482$	−3.67500	+	13.7153i	−0.167392	+	0.624715i
$483$	−10.9782	−	55.7434i	−0.499525	−	2.53641i
$484$	1.29710	−	0.748883i	0.0589593	−	0.0340402i
$485$	−6.14780	+	8.02165i	−0.279157	+	0.364244i
$486$	−29.5114	+	25.3897i	−1.33866	+	1.15170i
$487$	15.0779	−	8.70524i	0.683245	−	0.394472i	−0.117831	−	0.993034i	$-0.537594\pi$
$487$	15.0779	−	8.70524i	0.683245	−	0.394472i	0.801077	+	0.598562i	$0.204261\pi$
$488$			22.0186i			0.996734i
$489$	−10.3507	−	0.698137i	−0.468073	−	0.0315708i
$490$	43.8267	+	5.74390i	1.97989	+	0.259483i
$491$		−	10.7913i		−	0.487006i	−0.969900	−	0.243503i	$-0.921703\pi$
$491$		−	10.7913i		−	0.487006i	0.969900	−	0.243503i	$-0.0782966\pi$
$492$	10.5660	+	3.60905i	0.476353	+	0.162708i
$493$	−30.7898	+	8.25011i	−1.38670	+	0.371566i
$494$	22.1691	+	3.92252i	0.997436	+	0.176483i
$495$	11.3644	−	19.5386i	0.510793	−	0.878196i
$496$	−16.3711	+	4.38663i	−0.735086	+	0.196966i
$497$	7.52117	−	28.0694i	0.337370	−	1.25908i
$498$	19.7219	−	29.3951i	0.883760	−	1.31722i
$499$	−33.3182	−	8.92758i	−1.49153	−	0.399653i	−0.581275	−	0.813708i	$-0.697446\pi$
$499$	−33.3182	−	8.92758i	−1.49153	−	0.399653i	−0.910252	+	0.414054i	$0.864112\pi$
$500$	−28.9025	−	37.5304i	−1.29256	−	1.67841i
$501$	−16.5920	−	11.1320i	−0.741275	−	0.497340i
$502$	−10.6759	+	18.4911i	−0.476487	+	0.825299i
$503$	−5.93566	−	1.59046i	−0.264658	−	0.0709149i	0.124050	−	0.992276i	$-0.460412\pi$
$503$	−5.93566	−	1.59046i	−0.264658	−	0.0709149i	−0.388708	+	0.921361i	$0.627078\pi$
$504$	−59.8902	+	24.5416i	−2.66772	+	1.09317i
$505$	−27.2034	−	3.56526i	−1.21054	−	0.158652i
$506$	−61.8954	−	35.7353i	−2.75159	−	1.58863i
$507$	−2.38241	−	22.3903i	−0.105806	−	0.994387i
$508$	15.2473	+	4.08551i	0.676491	+	0.181265i
$509$	12.1324	−	12.1324i	0.537757	−	0.537757i	−0.385112	−	0.922870i	$-0.625837\pi$
$509$	12.1324	−	12.1324i	0.537757	−	0.537757i	0.922870	+	0.385112i	$0.125837\pi$
$510$	33.2020	+	49.8319i	1.47021	+	2.20659i
$511$		−	19.0829i		−	0.844177i
$512$			47.4680i			2.09781i
$513$	5.81233	−	11.6191i	0.256621	−	0.512996i
$514$	−7.83320	+	29.2339i	−0.345508	+	1.28945i
$515$	5.02159	−	3.85786i	0.221278	−	0.169997i
$516$	−41.2228	−	14.0805i	−1.81473	−	0.619860i
$517$	−6.02334	+	6.02334i	−0.264906	+	0.264906i
$518$		−	19.3348i		−	0.849521i
$519$	−6.99245	−	35.5052i	−0.306934	−	1.55851i
$520$	−39.9495	+	20.7960i	−1.75190	+	0.911965i
$521$	11.0185			0.482729			0.241365	−	0.970434i	$-0.422405\pi$
$521$	11.0185			0.482729			0.241365	+	0.970434i	$0.422405\pi$
$522$	−38.2265	−	5.18021i	−1.67313	−	0.226732i
$523$	4.35526	+	16.2540i	0.190442	+	0.710740i	0.993400	+	0.114704i	$0.0365918\pi$
$523$	4.35526	+	16.2540i	0.190442	+	0.710740i	−0.802958	+	0.596036i	$0.796741\pi$
$524$	−39.0477			−1.70581
$525$	10.7741	−	31.6634i	0.470219	−	1.38190i
$526$	−13.5698	+	3.63602i	−0.591672	+	0.158538i
$527$	−9.57828	+	16.5901i	−0.417236	+	0.722675i
$528$	−10.3327	+	30.2505i	−0.449672	+	1.31648i
$529$			49.1372i			2.13640i
$530$	44.9091	−	34.5016i	1.95073	−	1.49865i
$531$	0.383993	+	0.504380i	0.0166639	+	0.0218882i
$532$	28.9290	−	28.9290i	1.25423	−	1.25423i
$533$	1.87321	+	5.15607i	0.0811376	+	0.223334i
$534$	5.79869	−	1.14200i	0.250934	−	0.0494193i
$535$	−38.4911	−	15.9172i	−1.66411	−	0.688162i
$536$	74.1138			3.20123
$537$	26.5590	−	13.0349i	1.14611	−	0.562497i
$538$	27.5044	−	47.6390i	1.18580	−	2.05386i
$539$	25.7619	+	6.90287i	1.10964	+	0.297328i
$540$	9.35721	+	48.3305i	0.402670	+	2.07981i
$541$	2.88520	−	2.88520i	0.124044	−	0.124044i	−0.642359	−	0.766404i	$-0.722044\pi$
$541$	2.88520	−	2.88520i	0.124044	−	0.124044i	0.766404	+	0.642359i	$0.222044\pi$
$542$	−50.9088	−	50.9088i	−2.18672	−	2.18672i
$543$	4.55593	−	6.79052i	0.195514	−	0.291409i
$544$	−10.9718	−	10.9718i	−0.470411	−	0.470411i
$545$	24.9973	−	3.30579i	1.07077	−	0.141604i
$546$	−52.7354	−	29.1025i	−2.25686	−	1.24547i
$547$	14.6451	−	3.92415i	0.626181	−	0.167785i	0.0682449	−	0.997669i	$-0.478260\pi$
$547$	14.6451	−	3.92415i	0.626181	−	0.167785i	0.557936	+	0.829884i	$0.311593\pi$
$548$	−8.15280	+	14.1211i	−0.348270	+	0.603222i
$549$	4.48360	+	10.9416i	0.191356	+	0.466976i
$550$	−21.0797	−	36.4130i	−0.898841	−	1.55265i
$551$	12.4349	−	3.33193i	0.529745	−	0.141945i
$552$	80.6309	−	15.8796i	3.43188	−	0.675879i
$553$	−9.25906	−	5.34572i	−0.393735	−	0.227323i
$554$	4.67121	−	17.4332i	0.198461	−	0.740665i
$555$	−7.61281	−	1.52468i	−0.323146	−	0.0647191i
$556$	−56.7915	+	32.7886i	−2.40849	+	1.39054i
$557$	4.90712	−	8.49938i	0.207921	−	0.360130i	−0.743138	−	0.669138i	$-0.766664\pi$
$557$	4.90712	−	8.49938i	0.207921	−	0.360130i	0.951060	+	0.309008i	$0.0999969\pi$
$558$	−18.4457	+	14.0431i	−0.780871	+	0.594491i
$559$	−7.30823	−	20.1162i	−0.309105	−	0.850823i
$560$	−6.14668	+	46.8999i	−0.259745	+	1.98188i
$561$	15.9187	+	32.4350i	0.672090	+	1.36941i
$562$	−16.7767	−	16.7767i	−0.707683	−	0.707683i
$563$	−1.14626	+	0.307138i	−0.0483089	+	0.0129443i	−0.282893	−	0.959152i	$-0.591294\pi$
$563$	−1.14626	+	0.307138i	−0.0483089	+	0.0129443i	0.234584	+	0.972096i	$0.424627\pi$
$564$	1.24847	−	18.5100i	0.0525702	−	0.779413i
$565$	6.16022	−	14.8967i	0.259163	−	0.626707i
$566$	−34.4405	−	9.22831i	−1.44764	−	0.387895i
$567$	−24.7636	+	24.3907i	−1.03997	+	1.02431i
$568$	40.6014	+	10.8791i	1.70360	+	0.456477i
$569$	−3.24070	−	5.61306i	−0.135857	−	0.235312i	0.790067	−	0.613020i	$-0.210046\pi$
$569$	−3.24070	−	5.61306i	−0.135857	−	0.235312i	−0.925925	+	0.377708i	$0.876712\pi$
$570$	−13.4091	−	20.1253i	−0.561646	−	0.842958i
$571$	16.2101	−	9.35889i	0.678370	−	0.391657i	−0.120870	−	0.992668i	$-0.538569\pi$
$571$	16.2101	−	9.35889i	0.678370	−	0.391657i	0.799241	+	0.601011i	$0.205235\pi$
$572$	−48.3795	+	17.5763i	−2.02285	+	0.734903i
$573$	33.4474	+	22.4407i	1.39728	+	0.937473i
$574$	14.1746	+	3.79808i	0.591638	+	0.158529i
$575$	−21.1905	+	36.8021i	−0.883705	+	1.53475i
$576$	5.34115	+	13.0343i	0.222548	+	0.543096i
$577$			12.5287i			0.521576i	0.965396	+	0.260788i	$0.0839824\pi$
$577$			12.5287i			0.521576i	−0.965396	+	0.260788i	$0.916018\pi$
$578$	−53.2611			−2.21537
$579$	−5.08759	+	7.58295i	−0.211433	+	0.315136i
$580$	−29.6728	+	38.7171i	−1.23210	+	1.60764i
$581$	15.8024	−	27.3705i	0.655593	−	1.13552i
$582$	1.31567	−	19.5064i	0.0545365	−	0.808565i
$583$	29.5930	−	17.0856i	1.22562	−	0.707611i
$584$	27.6027			1.14221
$585$	−15.6173	+	18.4689i	−0.645695	+	0.763596i
$586$	45.1846			1.86656
$587$	−3.01120	+	1.73852i	−0.124286	+	0.0717563i	−0.560854	−	0.827915i	$-0.689527\pi$
$587$	−3.01120	+	1.73852i	−0.124286	+	0.0717563i	0.436568	+	0.899671i	$0.356194\pi$
$588$	−52.1447	+	25.5921i	−2.15041	+	1.05540i
$589$	3.86833	−	6.70014i	0.159392	−	0.276074i
$590$	1.16981	−	0.154702i	0.0481602	−	0.00636898i
$591$	7.26153	+	14.7956i	0.298699	+	0.608609i
$592$	10.9801			0.451281
$593$			41.6135i			1.70886i	0.519565	+	0.854431i	$0.326094\pi$
$593$			41.6135i			1.70886i	−0.519565	+	0.854431i	$0.673906\pi$
$594$	2.61145	+	43.6470i	0.107149	+	1.79086i
$595$	32.5709	+	42.3960i	1.33528	+	1.73807i
$596$	−67.0437	−	17.9643i	−2.74622	−	0.735847i
$597$	2.40867	−	35.7112i	0.0985803	−	1.46156i
$598$	58.5562	+	49.1935i	2.39454	+	2.01167i
$599$	−17.4411	+	10.0696i	−0.712623	+	0.411433i	−0.812032	−	0.583613i	$-0.801638\pi$
$599$	−17.4411	+	10.0696i	−0.712623	+	0.411433i	0.0994082	+	0.995047i	$0.468305\pi$
$600$	45.8000	+	15.5843i	1.86978	+	0.636227i
$601$	−11.2151	−	19.4252i	−0.457475	−	0.792370i	0.541352	−	0.840796i	$-0.317913\pi$
$601$	−11.2151	−	19.4252i	−0.457475	−	0.792370i	−0.998827	+	0.0484265i	$0.984579\pi$
$602$	−55.3016	−	14.8180i	−2.25393	−	0.603938i
$603$	36.8290	−	15.0917i	1.49979	−	0.614580i
$604$	−48.5117	−	12.9987i	−1.97391	−	0.528909i
$605$	−0.302925	−	0.730120i	−0.0123156	−	0.0296836i
$606$	47.6449	−	23.3836i	1.93544	−	0.949895i
$607$	4.26942	−	1.14399i	0.173290	−	0.0464330i	−0.171130	−	0.985248i	$-0.554742\pi$
$607$	4.26942	−	1.14399i	0.173290	−	0.0464330i	0.344421	+	0.938815i	$0.388075\pi$
$608$	4.43111	+	4.43111i	0.179705	+	0.179705i
$609$	−34.3640	−	2.31780i	−1.39250	−	0.0939219i
$610$	21.8240	+	2.86025i	0.883630	+	0.115808i
$611$	7.46969	−	5.22376i	0.302192	−	0.211331i
$612$	−72.5851	−	30.3888i	−2.93408	−	1.22839i
$613$	11.9680	−	20.7293i	0.483385	−	0.837247i	−0.516433	−	0.856327i	$-0.672741\pi$
$613$	11.9680	−	20.7293i	0.483385	−	0.837247i	0.999818	+	0.0190806i	$0.00607392\pi$
$614$	−30.4394	+	17.5742i	−1.22844	+	0.709238i
$615$	2.61321	−	5.28157i	0.105375	−	0.212973i
$616$	−18.8149	+	70.2182i	−0.758074	+	2.82917i
$617$	−19.3306	−	11.1605i	−0.778219	−	0.449305i	0.0575795	−	0.998341i	$-0.481662\pi$
$617$	−19.3306	−	11.1605i	−0.778219	−	0.449305i	−0.835799	+	0.549036i	$0.814995\pi$
$618$	−3.95955	+	11.5922i	−0.159277	+	0.466306i
$619$	−7.76811	+	2.08146i	−0.312227	+	0.0836609i	−0.411530	−	0.911396i	$-0.635005\pi$
$619$	−7.76811	+	2.08146i	−0.312227	+	0.0836609i	0.0993029	+	0.995057i	$0.468339\pi$
$620$	3.84337	+	29.0624i	0.154354	+	1.16717i
$621$	36.8340	−	24.3097i	1.47810	−	0.975514i
$622$	14.8644	−	25.7458i	0.596007	−	1.03231i
$623$	5.09693	−	1.36572i	0.204204	−	0.0547164i
$624$	16.5272	−	29.9482i	0.661618	−	1.19889i
$625$	−21.6214	+	12.5505i	−0.864857	+	0.502018i
$626$	−51.6093	−	51.6093i	−2.06272	−	2.06272i
$627$	−6.42902	−	13.0993i	−0.256750	−	0.523137i
$628$	−9.86969	−	9.86969i	−0.393844	−	0.393844i
$629$	8.77558	−	8.77558i	0.349905	−	0.349905i
$630$	16.5449	+	62.5491i	0.659166	+	2.49201i
$631$	13.5166	+	3.62175i	0.538086	+	0.144180i	0.517619	−	0.855611i	$-0.326818\pi$
$631$	13.5166	+	3.62175i	0.538086	+	0.144180i	0.0204661	+	0.999791i	$0.493485\pi$
$632$	7.73240	−	13.3929i	0.307578	−	0.532741i
$633$	−22.7351	−	15.2536i	−0.903639	−	0.606275i
$634$	4.57628			0.181747
$635$	3.18359	−	7.69856i	0.126337	−	0.305508i
$636$	−24.0557	+	70.4267i	−0.953871	+	2.79260i
$637$	−25.8581	−	12.0764i	−1.02453	−	0.478485i
$638$	−30.6369	+	30.6369i	−1.21293	+	1.21293i
$639$	22.3911	−	2.86148i	0.885780	−	0.113199i
$640$	37.1118	+	4.86385i	1.46697	+	0.192261i
$641$			27.2442i			1.07608i	0.842919	+	0.538041i	$0.180835\pi$
$641$			27.2442i			1.07608i	−0.842919	+	0.538041i	$0.819165\pi$
$642$	79.0561	−	15.5694i	3.12010	−	0.614476i
$643$	−15.1719	+	26.2785i	−0.598322	+	1.03632i	0.394747	+	0.918790i	$0.370832\pi$
$643$	−15.1719	+	26.2785i	−0.598322	+	1.03632i	−0.993069	+	0.117534i	$0.962501\pi$
$644$	134.241	−	35.9697i	5.28983	−	1.41741i
$645$	−10.1953	+	20.6058i	−0.401440	+	0.811352i
$646$	38.6565			1.52092
$647$	9.17395	+	34.2376i	0.360665	+	1.34602i	0.873203	+	0.487356i	$0.162039\pi$
$647$	9.17395	+	34.2376i	0.360665	+	1.34602i	−0.512538	+	0.858664i	$0.671295\pi$
$648$	−35.2803	−	35.8197i	−1.38594	−	1.40713i
$649$	0.711993			0.0279482
$650$	15.4228	+	42.2980i	0.604931	+	1.65906i
$651$	−15.5880	+	13.6181i	−0.610940	+	0.533734i
$652$		−	25.3769i		−	0.993836i
$653$	−9.47038	+	9.47038i	−0.370605	+	0.370605i	−0.867697	−	0.497093i	$-0.834401\pi$
$653$	−9.47038	+	9.47038i	−0.370605	+	0.370605i	0.497093	+	0.867697i	$0.334401\pi$
$654$	−36.7336	+	32.0915i	−1.43640	+	1.25488i
$655$	−2.67797	+	20.4333i	−0.104637	+	0.798393i
$656$	−2.15692	+	8.04973i	−0.0842135	+	0.314289i
$657$	13.7165	−	5.62069i	0.535131	−	0.219284i
$658$		−	24.3830i		−	0.950548i
$659$			48.3939i			1.88516i	0.333982	+	0.942580i	$0.391608\pi$
$659$			48.3939i			1.88516i	−0.333982	+	0.942580i	$0.608392\pi$
$660$	49.5570	+	24.5198i	1.92900	+	0.954431i
$661$	−26.2013	+	26.2013i	−1.01911	+	1.01911i	−0.0192993	+	0.999814i	$0.506144\pi$
$661$	−26.2013	+	26.2013i	−1.01911	+	1.01911i	−0.999814	+	0.0192993i	$0.993856\pi$
$662$	26.3084	+	7.04930i	1.02250	+	0.273979i
$663$	−10.7264	−	37.1442i	−0.416578	−	1.44256i
$664$	39.5905	+	22.8576i	1.53641	+	0.887046i
$665$	−13.1542	−	17.1223i	−0.510099	−	0.663973i
$666$	13.8975	−	5.69488i	0.538519	−	0.220672i
$667$	42.2411	+	11.3185i	1.63558	+	0.438253i
$668$	24.4376	−	42.3271i	0.945518	−	1.63768i
$669$	−0.494504	+	7.33159i	−0.0191186	+	0.283456i
$670$	9.62750	−	73.4590i	0.371943	−	2.83797i
$671$	12.8284	+	3.43737i	0.495236	+	0.132698i
$672$	−7.38667	−	15.0506i	−0.284947	−	0.580589i
$673$	−1.76184	+	6.57527i	−0.0679139	+	0.253458i	−0.991533	−	0.129853i	$-0.958550\pi$
$673$	−1.76184	+	6.57527i	−0.0679139	+	0.253458i	0.923619	+	0.383311i	$0.125216\pi$
$674$	−28.7163	+	7.69452i	−1.10611	+	0.296382i
$675$	25.9326	−	1.58192i	0.998145	−	0.0608883i
$676$	54.2538	−	9.50032i	2.08668	−	0.365397i
$677$	−27.5454	+	7.38077i	−1.05866	+	0.283666i	−0.745825	−	0.666142i	$-0.767944\pi$
$677$	−27.5454	+	7.38077i	−1.05866	+	0.283666i	−0.312832	+	0.949809i	$0.601278\pi$
$678$	6.02562	+	30.5960i	0.231412	+	1.17503i
$679$		−	17.4556i		−	0.669883i
$680$	−61.3244	+	47.1127i	−2.35168	+	1.80669i
$681$	−1.05627	+	1.57434i	−0.0404762	+	0.0603289i
$682$			26.0384i			0.997062i
$683$	−36.7302	+	21.2062i	−1.40544	+	0.811432i	−0.994944	−	0.100430i	$-0.967978\pi$
$683$	−36.7302	+	21.2062i	−1.40544	+	0.811432i	−0.410497	+	0.911862i	$0.634645\pi$
$684$	29.3145	+	12.2730i	1.12087	+	0.469269i
$685$	6.83026	+	5.23472i	0.260971	+	0.200008i
$686$	−7.64548	+	4.41412i	−0.291906	+	0.168532i
$687$	−1.39030	+	1.21460i	−0.0530432	+	0.0463400i
$688$	8.41511	−	31.4056i	0.320823	−	1.19733i
$689$	−34.3673	+	12.4857i	−1.30929	+	0.475666i
$690$	−5.26519	−	81.9813i	−0.200442	−	3.12097i
$691$	7.18966	−	26.8322i	0.273507	−	1.02074i	−0.683328	−	0.730112i	$-0.739468\pi$
$691$	7.18966	−	26.8322i	0.273507	−	1.02074i	0.956835	−	0.290632i	$-0.0938655\pi$
$692$	85.5034	−	22.9106i	3.25035	−	0.870929i
$693$	4.94880	+	38.7244i	0.187989	+	1.47102i
$694$	21.5116	−	21.5116i	0.816569	−	0.816569i
$695$	13.2630	+	31.9671i	0.503095	+	1.21258i
$696$	3.35261	−	49.7063i	0.127080	−	1.88411i
$697$	4.70966	+	8.15738i	0.178391	+	0.308983i
$698$	−3.05369	−	11.3965i	−0.115584	−	0.431365i
$699$	1.42609	+	7.24117i	0.0539395	+	0.273886i
$700$	79.0516	+	21.0831i	2.98787	+	0.796864i
$701$		−	21.1808i		−	0.799988i	−0.916518	−	0.399994i	$-0.869012\pi$
$701$		−	21.1808i		−	0.799988i	0.916518	−	0.399994i	$-0.130988\pi$
$702$	5.38571	−	46.4773i	0.203270	−	1.75417i
$703$	−3.54414	+	3.54414i	−0.133670	+	0.133670i
$704$	15.2820	+	4.09481i	0.575963	+	0.154329i
$705$	−9.60048	−	1.92277i	−0.361575	−	0.0724156i
$706$	−13.7592	−	7.94387i	−0.517834	−	0.298971i
$707$	41.0377	−	23.6931i	1.54338	−	0.891073i
$708$	−1.16779	+	1.02021i	−0.0438881	+	0.0383418i
$709$	−17.9487	−	17.9487i	−0.674078	−	0.674078i	0.284575	−	0.958654i	$-0.408147\pi$
$709$	−17.9487	−	17.9487i	−0.674078	−	0.674078i	−0.958654	+	0.284575i	$0.908147\pi$
$710$	16.0572	−	38.8294i	0.602615	−	1.45724i
$711$	1.11525	−	8.22980i	0.0418251	−	0.308642i
$712$	1.97546	+	7.37253i	0.0740337	+	0.276297i
$713$	22.7602	−	13.1406i	0.852376	−	0.492120i
$714$	−97.8700	−	33.4295i	−3.66269	−	1.25107i
$715$	5.87954	+	26.5219i	0.219882	+	0.991861i
$716$	36.1852	+	62.6745i	1.35230	+	2.34226i
$717$	−23.3469	−	26.7241i	−0.871907	−	0.998032i
$718$	27.2363	+	7.29794i	1.01645	+	0.272357i
$719$	−13.5065	−	23.3939i	−0.503707	−	0.872445i	−0.999991	−	0.00428523i	$-0.998636\pi$
$719$	−13.5065	−	23.3939i	−0.503707	−	0.872445i	0.496284	−	0.868160i	$-0.334697\pi$
$720$	−35.5214	+	9.39582i	−1.32381	+	0.350162i
$721$	−2.83072	+	10.5644i	−0.105421	+	0.393438i
$722$	31.8381			1.18489
$723$	−9.66219	+	1.90289i	−0.359341	+	0.0707691i
$724$	17.3230	+	10.0014i	0.643805	+	0.371701i
$725$	18.2252	+	18.1828i	0.676867	+	0.675291i
$726$	1.26981	+	0.851946i	0.0471270	+	0.0316187i
$727$	−1.63762	−	6.11169i	−0.0607361	−	0.226670i	0.928886	−	0.370366i	$-0.120768\pi$
$727$	−1.63762	−	6.11169i	−0.0607361	−	0.226670i	−0.989622	+	0.143696i	$0.954101\pi$
$728$	32.9163	−	70.4804i	1.21996	−	2.61218i
$729$	−24.8256	−	10.6156i	−0.919465	−	0.393172i
$730$	3.58563	−	27.3588i	0.132710	−	1.01260i
$731$	−18.3745	−	31.8256i	−0.679606	−	1.17711i
$732$	−25.9661	+	12.7439i	−0.959735	+	0.471028i
$733$	6.62164	+	11.4690i	0.244576	+	0.423618i	0.962012	−	0.273006i	$-0.0880180\pi$
$733$	6.62164	+	11.4690i	0.244576	+	0.423618i	−0.717436	+	0.696624i	$0.754685\pi$
$734$	−11.9329	−	44.5343i	−0.440453	−	1.64379i
$735$	9.81588	+	29.0419i	0.362064	+	1.07123i
$736$	5.50955	+	20.5619i	0.203085	+	0.757922i
$737$	11.5701	−	43.1801i	0.426189	−	1.59056i
$738$	1.44501	+	11.3072i	0.0531915	+	0.416224i
$739$	42.8662	−	11.4860i	1.57686	−	0.422518i	0.638906	−	0.769285i	$-0.279387\pi$
$739$	42.8662	−	11.4860i	1.57686	−	0.422518i	0.937951	+	0.346767i	$0.112721\pi$
$740$	2.46797	−	18.8309i	0.0907243	−	0.692238i
$741$	4.33200	+	15.0012i	0.159140	+	0.551084i
$742$	−25.3157	+	94.4795i	−0.929369	+	3.46845i
$743$	16.1425			0.592211			0.296105	−	0.955155i	$-0.404312\pi$
$743$	16.1425			0.592211			0.296105	+	0.955155i	$0.404312\pi$
$744$	−19.6980	−	22.5474i	−0.722165	−	0.826629i
$745$	−13.9985	+	33.8512i	−0.512866	+	1.24021i
$746$	−6.52211	−	6.52211i	−0.238791	−	0.238791i
$747$	24.3279	+	3.29676i	0.890113	+	0.120622i
$748$	−76.5407	+	44.1908i	−2.79861	+	1.61578i
$749$	69.4888	−	18.6195i	2.53907	−	0.680340i
$750$	21.3961	−	43.3709i	0.781275	−	1.58368i
$751$		−	27.8472i		−	1.01616i	−0.861310	−	0.508079i	$-0.830356\pi$
$751$		−	27.8472i		−	1.01616i	0.861310	−	0.508079i	$-0.169644\pi$
$752$	13.8470			0.504949
$753$	−14.7749	−	0.996544i	−0.538427	−	0.0363161i
$754$	37.9936	−	26.5700i	1.38365	−	0.967622i
$755$	−10.1291	+	24.4942i	−0.368636	+	0.891435i
$756$	−63.6047	−	56.4233i	−2.31328	−	2.05209i
$757$	−14.3227	+	3.83775i	−0.520566	+	0.139485i	−0.509528	−	0.860454i	$-0.670180\pi$
$757$	−14.3227	+	3.83775i	−0.520566	+	0.139485i	−0.0110376	+	0.999939i	$0.503513\pi$
$758$	6.95526	+	6.95526i	0.252626	+	0.252626i
$759$	3.33574	−	49.4561i	0.121080	−	1.79514i
$760$	24.7667	−	19.0271i	0.898384	−	0.690187i
$761$	10.8265	+	40.4050i	0.392460	+	1.46468i	0.826063	+	0.563577i	$0.190575\pi$
$761$	10.8265	+	40.4050i	0.392460	+	1.46468i	−0.433603	+	0.901104i	$0.642758\pi$
$762$	3.11403	+	15.8120i	0.112809	+	0.572807i
$763$	−30.7946	+	30.7946i	−1.11484	+	1.11484i
$764$	−49.2631	+	85.3262i	−1.78228	+	3.08699i
$765$	−20.8802	+	35.8989i	−0.754924	+	1.29793i
$766$		−	49.5557i		−	1.79052i
$767$	−0.750220	−	0.132741i	−0.0270889	−	0.00479300i
$768$	−50.3973	+	24.7345i	−1.81855	+	0.892528i
$769$	−34.6491	+	34.6491i	−1.24948	+	1.24948i	−0.293527	+	0.955951i	$0.594829\pi$
$769$	−34.6491	+	34.6491i	−1.24948	+	1.24948i	−0.955951	+	0.293527i	$0.905171\pi$
$770$	67.1537	+	27.7701i	2.42005	+	1.00077i
$771$	−20.5948	+	4.05597i	−0.741703	+	0.146072i
$772$	−19.3445	−	11.1686i	−0.696225	−	0.401966i
$773$	−6.78748	−	11.7563i	−0.244129	−	0.422843i	0.717758	−	0.696293i	$-0.245169\pi$
$773$	−6.78748	−	11.7563i	−0.244129	−	0.422843i	−0.961886	+	0.273450i	$0.911835\pi$
$774$	−5.63763	−	44.1145i	−0.202640	−	1.58566i
$775$	15.4716	−	0.0180405i	0.555757	−	0.000648035i
$776$	25.2489			0.906382
$777$	12.0379	−	5.90810i	0.431859	−	0.211952i
$778$			77.0934i			2.76393i
$779$	−1.90207	−	3.29448i	−0.0681486	−	0.118037i
$780$	−47.6463	−	35.0754i	−1.70601	−	1.25590i
$781$	12.6767	−	21.9568i	0.453609	−	0.785675i
$782$	113.722	+	65.6575i	4.06670	+	2.34791i
$783$	−8.45560	−	25.3830i	−0.302179	−	0.907114i
$784$	−21.6774	−	37.5464i	−0.774194	−	1.34094i
$785$	−5.84159	+	4.48782i	−0.208495	+	0.160177i
$786$	−17.5641	−	35.7875i	−0.626491	−	1.27650i
$787$	2.94060	−	5.09326i	0.104821	−	0.181555i	−0.808844	−	0.588023i	$-0.799906\pi$
$787$	2.94060	−	5.09326i	0.104821	−	0.181555i	0.913665	+	0.406468i	$0.133240\pi$
$788$	−34.9150	+	20.1582i	−1.24379	+	0.718105i
$789$	−6.41032	−	7.33759i	−0.228213	−	0.261225i
$790$	−12.2701	−	9.40384i	−0.436551	−	0.334574i
$791$	7.20603	+	26.8933i	0.256217	+	0.956215i
$792$	−56.0135	+	7.15827i	−1.99035	+	0.254358i
$793$	−12.8763	−	6.01360i	−0.457252	−	0.213549i
$794$	−6.21165	−	3.58630i	−0.220443	−	0.127273i
$795$	35.2037	+	17.4181i	1.24855	+	0.617756i
$796$	87.5538			3.10326
$797$	−2.94365	−	10.9859i	−0.104270	−	0.389139i	0.893992	−	0.448083i	$-0.147893\pi$
$797$	−2.94365	−	10.9859i	−0.104270	−	0.389139i	−0.998261	+	0.0589443i	$0.981227\pi$
$798$	39.5262	+	13.5010i	1.39921	+	0.477930i
$799$	11.0668	−	11.0668i	0.391517	−	0.391517i
$800$	−3.22933	+	12.1085i	−0.114174	+	0.428099i
$801$	2.48291	+	3.26134i	0.0877295	+	0.115234i
$802$	−10.3816	+	38.7447i	−0.366588	+	1.36812i
$803$	4.30912	−	16.0819i	0.152066	−	0.567517i
$804$	42.8956	+	87.4011i	1.51281	+	3.08240i
$805$	−9.61607	−	72.7137i	−0.338922	−	2.56282i
$806$	4.85449	−	27.4364i	0.170992	−	0.966406i
$807$	38.0648	+	2.56741i	1.33994	+	0.0903772i
$808$	34.2713	+	59.3597i	1.20566	+	2.08827i
$809$	27.0043	+	15.5910i	0.949422	+	0.548149i	0.892901	−	0.450252i	$-0.148666\pi$
$809$	27.0043	+	15.5910i	0.949422	+	0.548149i	0.0565208	+	0.998401i	$0.481999\pi$
$810$	−40.0862	+	30.3155i	−1.40848	+	1.06518i
$811$	0.690589	+	0.690589i	0.0242499	+	0.0242499i	0.719128	−	0.694878i	$-0.244542\pi$
$811$	0.690589	+	0.690589i	0.0242499	+	0.0242499i	−0.694878	+	0.719128i	$0.744542\pi$
$812$		−	84.2507i		−	2.95662i
$813$	16.1400	−	47.2523i	0.566054	−	1.65721i
$814$	4.36600	−	16.2941i	0.153028	−	0.571109i
$815$	−13.2795	−	1.74040i	−0.465159	−	0.0609635i
$816$	18.9845	−	55.5800i	0.664591	−	1.94569i
$817$	7.42082	+	12.8532i	0.259622	+	0.449678i
$818$	60.2290	+	60.2290i	2.10586	+	2.10586i
$819$	2.00512	−	41.7262i	0.0700645	−	1.45803i
$820$	13.3204	+	5.50841i	0.465170	+	0.192362i
$821$	11.9100	−	44.4487i	0.415662	−	1.55127i	−0.367845	−	0.929887i	$-0.619904\pi$
$821$	11.9100	−	44.4487i	0.415662	−	1.55127i	0.783507	−	0.621383i	$-0.213429\pi$
$822$	−16.6092	−	1.12027i	−0.579314	−	0.0390738i
$823$	−42.4026	+	11.3617i	−1.47806	+	0.396046i	−0.905687	−	0.423946i	$-0.860645\pi$
$823$	−42.4026	+	11.3617i	−1.47806	+	0.396046i	−0.572375	+	0.819992i	$0.693978\pi$
$824$	−15.2810	−	4.09454i	−0.532339	−	0.142640i
$825$	16.2296	−	24.2510i	0.565044	−	0.844312i
$826$	−1.44110	+	1.44110i	−0.0501424	+	0.0501424i
$827$	−42.8405			−1.48971			−0.744855	−	0.667226i	$-0.767481\pi$
$827$	−42.8405			−1.48971			−0.744855	+	0.667226i	$0.767481\pi$
$828$	65.3940	+	85.8958i	2.27260	+	2.98508i
$829$	−9.01993	+	15.6230i	−0.313275	+	0.542608i	−0.979069	−	0.203527i	$-0.934759\pi$
$829$	−9.01993	+	15.6230i	−0.313275	+	0.542608i	0.665794	+	0.746135i	$0.268093\pi$
$830$	27.7985	−	36.2714i	0.964899	−	1.25900i
$831$	12.2814	−	2.41871i	0.426036	−	0.0839042i
$832$	−15.3391	−	7.16378i	−0.531788	−	0.248359i
$833$	−47.3330	−	12.6828i	−1.63999	−	0.439434i
$834$	−55.5963	−	37.3010i	−1.92514	−	1.29163i
$835$	−20.4733	−	15.6908i	−0.708509	−	0.543002i
$836$	30.9121	−	17.8471i	1.06912	−	0.617255i
$837$	−14.3797	−	7.19331i	−0.497037	−	0.248637i
$838$	−19.5116	−	33.7951i	−0.674017	−	1.16743i
$839$	12.5325	+	12.5325i	0.432669	+	0.432669i	0.889535	−	0.456866i	$-0.151028\pi$
$839$	12.5325	+	12.5325i	0.432669	+	0.432669i	−0.456866	+	0.889535i	$0.651028\pi$
$840$	−79.1585	+	26.7548i	−2.73123	+	0.923127i
$841$	−1.24458	+	2.15567i	−0.0429164	+	0.0743334i
$842$	1.45931	−	1.45931i	0.0502913	−	0.0502913i
$843$	5.31884	−	15.5717i	0.183191	−	0.536318i
$844$	33.4855	−	57.9986i	1.15262	−	1.99639i
$845$	−1.25058	−	29.0420i	−0.0430214	−	0.999074i
$846$	17.5261	−	7.18179i	0.602560	−	0.246915i
$847$	1.18235	+	0.682630i	0.0406260	+	0.0234554i
$848$	−53.6546	−	14.3767i	−1.84251	−	0.493698i
$849$	−4.77834	−	24.2627i	−0.163992	−	0.832695i
$850$	38.7303	+	66.9026i	1.32844	+	2.29474i
$851$	−16.4461	+	4.40671i	−0.563764	+	0.151060i
$852$	10.6697	+	54.1771i	0.365538	+	1.85608i
$853$	−7.98305	−	4.60902i	−0.273335	−	0.157810i	0.357067	−	0.934079i	$-0.383777\pi$
$853$	−7.98305	−	4.60902i	−0.273335	−	0.157810i	−0.630402	+	0.776269i	$0.717110\pi$
$854$	−32.9227	+	19.0079i	−1.12659	+	0.650438i
$855$	8.43276	−	14.4983i	0.288394	−	0.495831i
$856$	26.9324	+	100.513i	0.920531	+	3.43547i
$857$	11.6900	+	43.6276i	0.399322	+	1.49029i	0.814292	+	0.580456i	$0.197126\pi$
$857$	11.6900	+	43.6276i	0.399322	+	1.49029i	−0.414970	+	0.909835i	$0.636208\pi$
$858$	−37.8704	−	36.4340i	−1.29287	−	1.24384i
$859$	25.0898	−	14.4856i	0.856054	−	0.494243i	−0.00663500	−	0.999978i	$-0.502112\pi$
$859$	25.0898	−	14.4856i	0.856054	−	0.494243i	0.862689	+	0.505735i	$0.168779\pi$
$860$	−51.9691	−	21.4908i	−1.77213	−	0.732830i
$861$	1.96661	+	9.98578i	0.0670220	+	0.340315i
$862$	−35.4642	+	35.4642i	−1.20792	+	1.20792i
$863$	−20.8419			−0.709468			−0.354734	−	0.934967i	$-0.615429\pi$
$863$	−20.8419			−0.709468			−0.354734	+	0.934967i	$0.615429\pi$
$864$	8.64245	−	9.74244i	0.294022	−	0.331445i
$865$	−6.12486	−	46.3142i	−0.208251	−	1.57473i
$866$	16.7428	+	62.4851i	0.568944	+	2.12333i
$867$	−16.2749	−	33.1607i	−0.552726	−	1.12620i
$868$	−35.8024	−	35.8024i	−1.21521	−	1.21521i
$869$	−6.59584	−	6.59584i	−0.223748	−	0.223748i
$870$	−48.8316	−	9.77991i	−1.65555	−	0.331570i
$871$	−20.2416	+	43.3414i	−0.685860	+	1.46857i
$872$	−44.5433	−	44.5433i	−1.50843	−	1.50843i
$873$	12.5468	−	5.14138i	0.424645	−	0.174010i
$874$	−45.9284	−	26.5168i	−1.55355	−	0.896943i
$875$	16.4540	−	39.9209i	0.556248	−	1.34957i
$876$	15.9759	+	32.5514i	0.539775	+	1.09981i
$877$	−25.7626	−	14.8741i	−0.869943	−	0.502262i	−0.00261341	−	0.999997i	$-0.500832\pi$
$877$	−25.7626	−	14.8741i	−0.869943	−	0.502262i	−0.867329	+	0.497735i	$0.834165\pi$
$878$	78.6081	+	45.3844i	2.65290	+	1.53165i
$879$	13.8070	+	28.1322i	0.465698	+	0.948875i
$880$	−15.7706	+	38.1364i	−0.531625	+	1.28558i
$881$	26.9216	+	15.5432i	0.907010	+	0.523663i	0.879468	−	0.475958i	$-0.157899\pi$
$881$	26.9216	+	15.5432i	0.907010	+	0.523663i	0.0275422	+	0.999621i	$0.491232\pi$
$882$	−46.9106	−	36.2793i	−1.57956	−	1.22159i
$883$	−14.2288	−	14.2288i	−0.478836	−	0.478836i	0.425923	−	0.904759i	$-0.359949\pi$
$883$	−14.2288	−	14.2288i	−0.478836	−	0.478836i	−0.904759	+	0.425923i	$0.859949\pi$
$884$	88.8889	−	32.2935i	2.98966	−	1.08615i
$885$	0.453775	+	0.681057i	0.0152535	+	0.0228935i
$886$	21.9577	+	21.9577i	0.737683	+	0.737683i
$887$	−23.0838	−	23.0838i	−0.775078	−	0.775078i	0.203911	−	0.978989i	$-0.434635\pi$
$887$	−23.0838	−	23.0838i	−0.775078	−	0.775078i	−0.978989	+	0.203911i	$0.934635\pi$
$888$	8.54586	+	17.4125i	0.286780	+	0.584324i
$889$	3.72406	+	13.8984i	0.124901	+	0.466137i
$890$	7.56401	−	1.00031i	0.253546	−	0.0335304i
$891$	−26.3769	+	14.9631i	−0.883659	+	0.501281i
$892$	−17.9750			−0.601847
$893$	−4.46951	+	4.46951i	−0.149566	+	0.149566i
$894$	−13.6926	−	69.5265i	−0.457950	−	2.32531i
$895$	35.2785	−	14.6370i	1.17923	−	0.489259i
$896$	−55.9851	+	32.3230i	−1.87033	+	1.07984i
$897$	−12.7352	+	51.4895i	−0.425217	+	1.71918i
$898$	−17.0672	−	63.6956i	−0.569539	−	2.12555i
$899$	−4.12357	−	15.3894i	−0.137529	−	0.513265i
$900$	8.12977	+	63.0309i	0.270992	+	2.10103i
$901$	−54.3721	+	31.3918i	−1.81140	+	1.04581i
$902$	11.0878	+	6.40157i	0.369185	+	0.213149i
$903$	−7.67265	−	38.9591i	−0.255330	−	1.29648i
$904$	−38.9002	+	10.4233i	−1.29380	+	0.346673i
$905$	6.42169	−	8.37902i	0.213464	−	0.278528i
$906$	−9.90777	−	50.3082i	−0.329164	−	1.67138i
$907$	19.4208	+	5.20378i	0.644857	+	0.172789i	0.566402	−	0.824129i	$-0.308335\pi$
$907$	19.4208	+	5.20378i	0.644857	+	0.172789i	0.0784543	+	0.996918i	$0.475002\pi$
$908$	−4.01624	−	2.31878i	−0.133284	−	0.0769513i
$909$	29.1176	+	22.5187i	0.965769	+	0.746898i
$910$	−65.5818	−	41.7809i	−2.17402	−	1.38502i
$911$	−15.1064	+	26.1651i	−0.500499	+	0.866889i	0.499501	+	0.866313i	$0.333517\pi$
$911$	−15.1064	+	26.1651i	−0.500499	+	0.866889i	−1.00000		0.000575797i	$0.999817\pi$
$912$	−7.66717	+	22.4468i	−0.253886	+	0.743288i
$913$	19.4978	−	19.4978i	0.645283	−	0.645283i
$914$	−33.6037	+	58.2032i	−1.11151	+	1.92519i
$915$	4.88794	+	14.4618i	0.161590	+	0.478092i
$916$	−3.19324	−	3.19324i	−0.105508	−	0.105508i
$917$	−17.7966	−	30.8246i	−0.587696	−	1.01792i
$918$	−4.79809	−	80.1938i	−0.158361	−	2.64679i
$919$	27.2318	−	15.7223i	0.898296	−	0.518631i	0.0216489	−	0.999766i	$-0.493108\pi$
$919$	27.2318	−	15.7223i	0.898296	−	0.518631i	0.876647	+	0.481134i	$0.159775\pi$
$920$	105.178	−	13.9093i	3.46761	−	0.458576i
$921$	−20.2431	−	13.5816i	−0.667034	−	0.447530i
$922$	−99.6463	−	26.7001i	−3.28167	−	0.879322i
$923$	−17.4509	+	20.7722i	−0.574403	+	0.683726i
$924$	−93.6967	+	18.4528i	−3.08239	+	0.607051i
$925$	−9.68475	−	2.58292i	−0.318432	−	0.0849259i
$926$	−29.7073	+	51.4545i	−0.976241	+	1.69090i
$927$	−8.42728	+	1.07697i	−0.276788	+	0.0353723i
$928$	12.9048			0.423622
$929$	19.2602	−	19.2602i	0.631905	−	0.631905i	−0.316640	−	0.948546i	$-0.602555\pi$
$929$	19.2602	−	19.2602i	0.631905	−	0.631905i	0.948546	+	0.316640i	$0.102555\pi$
$930$	−24.9070	+	16.5951i	−0.816734	+	0.544173i
$931$	19.1161	+	5.12215i	0.626506	+	0.167872i
$932$	−17.4381	+	4.67253i	−0.571205	+	0.153054i
$933$	20.5716	+	1.38752i	0.673484	+	0.0454254i
$934$	9.41643	−	35.1426i	0.308115	−	1.14990i
$935$	17.8753	+	43.0836i	0.584583	+	1.40898i
$936$	60.3554	+	2.90033i	1.97278	+	0.0948004i
$937$	29.7880	+	29.7880i	0.973132	+	0.973132i	0.999648	−	0.0265161i	$-0.00844132\pi$
$937$	29.7880	+	29.7880i	0.973132	+	0.973132i	−0.0265161	+	0.999648i	$0.508441\pi$
$938$	63.9801	+	110.817i	2.08902	+	3.61829i
$939$	16.3621	−	47.9024i	0.533956	−	1.56324i
$940$	3.11234	−	23.7476i	0.101513	−	0.774560i
$941$	−12.4336	+	46.4028i	−0.405323	+	1.51269i	0.398135	+	0.917327i	$0.369658\pi$
$941$	−12.4336	+	46.4028i	−0.405323	+	1.51269i	−0.803458	+	0.595361i	$0.797009\pi$
$942$	4.60612	−	13.4851i	0.150076	−	0.439369i
$943$		−	12.9225i		−	0.420816i
$944$	−0.818399	−	0.818399i	−0.0266366	−	0.0266366i
$945$	−33.8878	+	29.4140i	−1.10237	+	0.956838i
$946$	−43.2587	−	24.9754i	−1.40646	−	0.812021i
$947$	−4.27900	−	7.41145i	−0.139049	−	0.240840i	0.788088	−	0.615563i	$-0.211071\pi$
$947$	−4.27900	−	7.41145i	−0.139049	−	0.240840i	−0.927137	+	0.374723i	$0.877738\pi$
$948$	20.2694	+	1.36714i	0.658318	+	0.0444026i
$949$	−7.53872	+	16.1419i	−0.244717	+	0.523989i
$950$	−15.6418	−	27.0196i	−0.507487	−	0.876631i
$951$	1.39837	+	2.84922i	0.0453452	+	0.0923922i
$952$	34.5691	−	129.014i	1.12039	−	4.18136i
$953$	5.25735	−	19.6207i	0.170302	−	0.635576i	−0.827002	−	0.562199i	$-0.809956\pi$
$953$	5.25735	−	19.6207i	0.170302	−	0.635576i	0.997304	−	0.0733774i	$-0.0233777\pi$
$954$	−75.3669	+	9.63155i	−2.44010	+	0.311833i
$955$	41.2717	+	31.6307i	1.33552	+	1.02354i
$956$	61.3800	−	61.3800i	1.98517	−	1.98517i
$957$	−28.4364	−	9.71305i	−0.919219	−	0.313978i
$958$	−19.7356	−	73.6544i	−0.637629	−	2.37966i
$959$	−14.8630			−0.479953
$960$	5.82281	+	17.2278i	0.187930	+	0.556024i
$961$	18.5547	+	10.7126i	0.598540	+	0.345567i
$962$	−7.63822	+	16.3550i	−0.246266	+	0.527306i
$963$	33.8507	+	44.4633i	1.09082	+	1.43281i
$964$	−6.23476	−	23.2684i	−0.200808	−	0.749426i
$965$	−7.17108	+	9.35682i	−0.230845	+	0.301207i
$966$	93.3495	+	106.853i	3.00347	+	3.43793i
$967$	−30.8046	+	17.7850i	−0.990609	+	0.571928i	−0.905456	−	0.424440i	$-0.860471\pi$
$967$	−30.8046	+	17.7850i	−0.990609	+	0.571928i	−0.0851525	+	0.996368i	$0.527138\pi$
$968$	−0.987400	+	1.71023i	−0.0317362	+	0.0549688i
$969$	11.8122	+	24.0678i	0.379463	+	0.773168i
$970$	3.27987	−	25.0258i	0.105310	−	0.803530i
$971$	2.70549	+	4.68604i	0.0868231	+	0.150382i	0.906167	−	0.422921i	$-0.138995\pi$
$971$	2.70549	+	4.68604i	0.0868231	+	0.150382i	−0.819343	+	0.573303i	$0.805662\pi$
$972$	21.8220	−	62.3371i	0.699941	−	1.99946i
$973$	−51.7671	−	29.8878i	−1.65958	−	0.958158i
$974$	−21.7402	+	37.6552i	−0.696602	+	1.20655i
$975$	−21.6223	+	22.5273i	−0.692467	+	0.721450i
$976$	−10.7945	−	18.6967i	−0.345525	−	0.598467i
$977$		−	45.0072i		−	1.43991i	−0.694022	−	0.719954i	$-0.744163\pi$
$977$		−	45.0072i		−	1.43991i	0.694022	−	0.719954i	$-0.255837\pi$
$978$	23.2581	−	11.4148i	0.743711	−	0.365006i
$979$	4.60377			0.147137
$980$	−69.2643	+	28.7375i	−2.21257	+	0.917986i
$981$	−31.2050	−	13.0644i	−0.996298	−	0.417115i
$982$	13.4750	+	23.3394i	0.430004	+	0.744789i
$983$	−44.5707	−	25.7329i	−1.42158	−	0.820752i	−0.425150	−	0.905123i	$-0.639779\pi$
$983$	−44.5707	−	25.7329i	−1.42158	−	0.820752i	−0.996434	+	0.0843704i	$0.973112\pi$
$984$	−14.4441	+	2.84464i	−0.460461	+	0.0906838i
$985$	8.15401	+	19.6531i	0.259808	+	0.626200i
$986$	56.2901	−	56.2901i	1.79264	−	1.79264i
$987$	15.1810	−	7.45067i	0.483216	−	0.237158i
$988$	−35.8991	+	13.0422i	−1.14210	+	0.414927i
$989$			50.4167i			1.60316i
$990$	−0.181214	+	56.4485i	−0.00575936	+	1.79405i
$991$	−7.02534	+	12.1682i	−0.223167	+	0.386537i	−0.955768	−	0.294122i	$-0.904973\pi$
$991$	−7.02534	+	12.1682i	−0.223167	+	0.386537i	0.732601	+	0.680659i	$0.238306\pi$
$992$	5.48392	−	5.48392i	0.174115	−	0.174115i
$993$	3.65007	+	18.5338i	0.115831	+	0.588152i
$994$	18.7832	+	70.0997i	0.595765	+	2.22343i
$995$	6.00461	−	45.8160i	0.190359	−	1.45246i
$996$	−4.04137	+	59.9178i	−0.128056	+	1.89857i
$997$	10.4743	+	10.4743i	0.331726	+	0.331726i	0.853242	−	0.521516i	$-0.174633\pi$
$997$	10.4743	+	10.4743i	0.331726	+	0.331726i	−0.521516	+	0.853242i	$0.674633\pi$
$998$	83.2079	−	22.2955i	2.63390	−	0.705752i
$999$	7.79232	+	6.91251i	0.246538	+	0.218702i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	585.2.dt.a.7.7	yes	320
5.3	odd	4		585.2.cc.a.358.74	yes	320
9.4	even	3		585.2.ca.a.202.7	✓	320
13.2	odd	12		585.2.dv.a.457.7	yes	320
45.13	odd	12		585.2.dv.a.553.7	yes	320
65.28	even	12		585.2.ca.a.223.74	yes	320
117.67	odd	12		585.2.cc.a.67.74	yes	320
585.418	even	12	inner	585.2.dt.a.418.7	yes	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
585.2.ca.a.202.7	✓	320	9.4	even	3
585.2.ca.a.223.74	yes	320	65.28	even	12
585.2.cc.a.67.74	yes	320	117.67	odd	12
585.2.cc.a.358.74	yes	320	5.3	odd	4
585.2.dt.a.7.7	yes	320	1.1	even	1	trivial
585.2.dt.a.418.7	yes	320	585.418	even	12	inner
585.2.dv.a.457.7	yes	320	13.2	odd	12
585.2.dv.a.553.7	yes	320	45.13	odd	12

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:	\( N \)	\(=\)	\( 585 = 3^{2} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	585.dt (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-2.16279 + 1.24869i) q^{2} +(-1.43832 - 0.965006i) q^{3} +(2.11844 - 3.66924i) q^{4} +(-1.77479 - 1.36020i) q^{5} +(4.31577 + 0.291092i) q^{6} +3.86204 q^{7} +5.58630i q^{8} +(1.13753 + 2.77597i) q^{9} +O(q^{10})\)	\(q+(-2.16279 + 1.24869i) q^{2} +(-1.43832 - 0.965006i) q^{3} +(2.11844 - 3.66924i) q^{4} +(-1.77479 - 1.36020i) q^{5} +(4.31577 + 0.291092i) q^{6} +3.86204 q^{7} +5.58630i q^{8} +(1.13753 + 2.77597i) q^{9} +(5.53694 + 0.725669i) q^{10} +(3.25468 + 0.872090i) q^{11} +(-6.58782 + 3.23324i) q^{12} +(-3.26684 - 1.52570i) q^{13} +(-8.35277 + 4.82247i) q^{14} +(1.24011 + 3.66908i) q^{15} +(-2.73867 - 4.74351i) q^{16} +(-5.97992 - 1.60231i) q^{17} +(-5.92655 - 4.58343i) q^{18} +(2.41508 + 0.647118i) q^{19} +(-8.75066 + 3.63062i) q^{20} +(-5.55484 - 3.72689i) q^{21} +(-8.12816 + 2.17793i) q^{22} +(6.00571 + 6.00571i) q^{23} +(5.39081 - 8.03489i) q^{24} +(1.29973 + 4.82812i) q^{25} +(8.97060 - 0.779486i) q^{26} +(1.04270 - 5.09046i) q^{27} +(8.18147 - 14.1707i) q^{28} +(4.45905 - 2.57443i) q^{29} +(-7.26362 - 6.38693i) q^{30} +(0.800870 - 2.98889i) q^{31} +(2.17056 + 1.25317i) q^{32} +(-3.83971 - 4.39513i) q^{33} +(14.9341 - 4.00158i) q^{34} +(-6.85429 - 5.25313i) q^{35} +(12.5955 + 1.70686i) q^{36} +(-1.00233 + 1.73608i) q^{37} +(-6.03135 + 1.61610i) q^{38} +(3.22645 + 5.34697i) q^{39} +(7.59847 - 9.91448i) q^{40} +(-1.07585 - 1.07585i) q^{41} +(16.6677 + 1.12421i) q^{42} +(4.19739 + 4.19739i) q^{43} +(10.0947 - 10.0947i) q^{44} +(1.75700 - 6.47402i) q^{45} +(-20.4883 - 5.48983i) q^{46} +(-1.26403 + 2.18936i) q^{47} +(-0.638434 + 9.46551i) q^{48} +7.91532 q^{49} +(-8.83984 - 8.81924i) q^{50} +(7.05480 + 8.07530i) q^{51} +(-12.5188 + 8.75471i) q^{52} +(7.17099 - 7.17099i) q^{53} +(4.10125 + 12.3116i) q^{54} +(-4.59015 - 5.97478i) q^{55} +21.5745i q^{56} +(-2.84918 - 3.26133i) q^{57} +(-6.42932 + 11.1359i) q^{58} +(0.204105 - 0.0546899i) q^{59} +(16.0898 + 3.22244i) q^{60} +3.94153 q^{61} +(2.00007 + 7.46437i) q^{62} +(4.39318 + 10.7209i) q^{63} +4.69540 q^{64} +(3.72268 + 7.15134i) q^{65} +(13.7926 + 4.71115i) q^{66} -13.2671i q^{67} +(-18.5474 + 18.5474i) q^{68} +(-2.84259 - 14.4337i) q^{69} +(21.3839 + 2.80256i) q^{70} +(1.94746 - 7.26802i) q^{71} +(-15.5074 + 6.35458i) q^{72} -4.94114i q^{73} -5.00636i q^{74} +(2.78974 - 8.19862i) q^{75} +(7.49062 - 7.49062i) q^{76} +(12.5697 + 3.36804i) q^{77} +(-13.6548 - 7.53553i) q^{78} +(-2.39745 - 1.38417i) q^{79} +(-1.59156 + 12.1438i) q^{80} +(-6.41206 + 6.31550i) q^{81} +(3.67025 + 0.983440i) q^{82} +(4.09172 - 7.08706i) q^{83} +(-25.4424 + 12.4869i) q^{84} +(8.43361 + 10.9776i) q^{85} +(-14.3193 - 3.83684i) q^{86} +(-8.89789 - 0.600149i) q^{87} +(-4.87176 + 18.1816i) q^{88} +(1.31975 - 0.353627i) q^{89} +(4.28400 + 16.1959i) q^{90} +(-12.6166 - 5.89232i) q^{91} +(34.7591 - 9.31367i) q^{92} +(-4.03620 + 3.52613i) q^{93} -6.31350i q^{94} +(-3.40604 - 4.43348i) q^{95} +(-1.91264 - 3.89706i) q^{96} -4.51979i q^{97} +(-17.1192 + 9.88376i) q^{98} +(1.28140 + 10.0269i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 320 q - 6 q^{2} - 2 q^{3} + 152 q^{4} - 2 q^{5} - 8 q^{6} - 4 q^{7} + 12 q^{9}+O(q^{10}) \) 320 * q - 6 * q^2 - 2 * q^3 + 152 * q^4 - 2 * q^5 - 8 * q^6 - 4 * q^7 + 12 * q^9	\( 320 q - 6 q^{2} - 2 q^{3} + 152 q^{4} - 2 q^{5} - 8 q^{6} - 4 q^{7} + 12 q^{9} - 16 q^{10} + 22 q^{12} - 2 q^{13} - 48 q^{14} - 6 q^{15} - 132 q^{16} - 12 q^{17} + 4 q^{18} + 6 q^{20} - 4 q^{21} + 2 q^{22} - 16 q^{23} - 16 q^{24} - 20 q^{27} - 24 q^{28} + 10 q^{30} - 4 q^{31} + 18 q^{32} - 42 q^{33} - 16 q^{34} - 46 q^{35} - 12 q^{36} - 4 q^{37} + 32 q^{38} + 8 q^{39} - 20 q^{40} + 4 q^{41} - 8 q^{42} + 8 q^{44} + 4 q^{45} - 16 q^{46} - 14 q^{47} + 140 q^{48} + 224 q^{49} - 70 q^{50} + 6 q^{52} - 16 q^{53} + 24 q^{54} - 4 q^{55} + 72 q^{57} - 14 q^{58} - 16 q^{59} + 40 q^{60} - 8 q^{61} - 28 q^{62} - 72 q^{63} - 192 q^{64} - 2 q^{65} - 76 q^{68} - 24 q^{69} - 44 q^{70} - 2 q^{72} + 38 q^{75} + 28 q^{76} - 44 q^{77} + 42 q^{78} + 4 q^{80} + 8 q^{81} + 20 q^{82} + 8 q^{83} + 16 q^{84} + 56 q^{85} - 40 q^{86} + 2 q^{87} - 2 q^{88} + 64 q^{90} - 16 q^{91} - 56 q^{92} + 32 q^{93} - 6 q^{95} + 104 q^{96} - 282 q^{98} - 68 q^{99}+O(q^{100}) \) 320 * q - 6 * q^2 - 2 * q^3 + 152 * q^4 - 2 * q^5 - 8 * q^6 - 4 * q^7 + 12 * q^9 - 16 * q^10 + 22 * q^12 - 2 * q^13 - 48 * q^14 - 6 * q^15 - 132 * q^16 - 12 * q^17 + 4 * q^18 + 6 * q^20 - 4 * q^21 + 2 * q^22 - 16 * q^23 - 16 * q^24 - 20 * q^27 - 24 * q^28 + 10 * q^30 - 4 * q^31 + 18 * q^32 - 42 * q^33 - 16 * q^34 - 46 * q^35 - 12 * q^36 - 4 * q^37 + 32 * q^38 + 8 * q^39 - 20 * q^40 + 4 * q^41 - 8 * q^42 + 8 * q^44 + 4 * q^45 - 16 * q^46 - 14 * q^47 + 140 * q^48 + 224 * q^49 - 70 * q^50 + 6 * q^52 - 16 * q^53 + 24 * q^54 - 4 * q^55 + 72 * q^57 - 14 * q^58 - 16 * q^59 + 40 * q^60 - 8 * q^61 - 28 * q^62 - 72 * q^63 - 192 * q^64 - 2 * q^65 - 76 * q^68 - 24 * q^69 - 44 * q^70 - 2 * q^72 + 38 * q^75 + 28 * q^76 - 44 * q^77 + 42 * q^78 + 4 * q^80 + 8 * q^81 + 20 * q^82 + 8 * q^83 + 16 * q^84 + 56 * q^85 - 40 * q^86 + 2 * q^87 - 2 * q^88 + 64 * q^90 - 16 * q^91 - 56 * q^92 + 32 * q^93 - 6 * q^95 + 104 * q^96 - 282 * q^98 - 68 * q^99

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