LMFDB - Embedded newform 585.2.dt.a.418.7

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			418.7
Character	$\chi$	$=$	585.418
Dual form			585.2.dt.a.7.7

$q$-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 $\left(\mathbb{Z}/585\mathbb{Z}\right)^\times$.

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

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	−0.999390	−	0.0349145i	$-0.988884\pi$
$2$	−2.16279	−	1.24869i	−1.52932	−	0.882955i	−0.529932	−	0.848040i	$-0.677783\pi$
$3$	−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	0.267722	−	0.963496i	$-0.413729\pi$
$11$	3.25468	−	0.872090i	0.981324	−	0.262945i	0.713602	+	0.700551i	$0.247062\pi$
$12$	−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	−0.896143	−	0.443765i	$-0.853643\pi$
$17$	−5.97992	+	1.60231i	−1.45034	+	0.388618i	−0.554201	+	0.832383i	$0.686976\pi$
$18$	−5.92655	+	4.58343i	−1.39690	+	1.08032i
$19$	2.41508	−	0.647118i	0.554057	−	0.148459i	0.0290823	−	0.999577i	$-0.490741\pi$
$19$	2.41508	−	0.647118i	0.554057	−	0.148459i	0.524975	+	0.851118i	$0.324075\pi$
$20$	−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	0.297581	−	0.954696i	$-0.403820\pi$
$23$	6.00571	−	6.00571i	1.25228	−	1.25228i	0.954696	−	0.297581i	$-0.0961799\pi$
$24$	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	0.853176	−	0.521623i	$-0.174673\pi$
$29$	4.45905	+	2.57443i	0.828025	+	0.478060i	−0.0251510	+	0.999684i	$0.508007\pi$
$30$	−7.26362	+	6.38693i	−1.32615	+	1.16609i
$31$	0.800870	+	2.98889i	0.143841	+	0.536820i	0.999804	+	0.0197843i	$0.00629794\pi$
$31$	0.800870	+	2.98889i	0.143841	+	0.536820i	−0.855964	+	0.517036i	$0.827035\pi$
$32$	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	0.771796	−	0.635870i	$-0.219359\pi$
$37$	−1.00233	−	1.73608i	−0.164781	−	0.285410i	−0.936578	+	0.350460i	$0.886025\pi$
$38$	−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	−0.786109	−	0.618088i	$-0.787907\pi$
$41$	−1.07585	+	1.07585i	−0.168020	+	0.168020i	0.618088	+	0.786109i	$0.287907\pi$
$42$	16.6677	−	1.12421i	2.57188	−	0.173469i
$43$	4.19739	−	4.19739i	0.640096	−	0.640096i	−0.310483	−	0.950579i	$-0.600491\pi$
$43$	4.19739	−	4.19739i	0.640096	−	0.640096i	0.950579	+	0.310483i	$0.100491\pi$
$44$	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	0.758989	−	0.651103i	$-0.225694\pi$
$47$	−1.26403	−	2.18936i	−0.184378	−	0.319351i	−0.943367	+	0.331752i	$0.892360\pi$
$48$	−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	0.999889	−	0.0148783i	$-0.00473607\pi$
$53$	7.17099	+	7.17099i	0.985011	+	0.985011i	−0.0148783	+	0.999889i	$0.504736\pi$
$54$	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	0.272081	−	0.962274i	$-0.412288\pi$
$59$	0.204105	+	0.0546899i	0.0265723	+	0.00712002i	−0.245508	+	0.969394i	$0.578955\pi$
$60$	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	$0.300758\pi$
$67$			13.2671i			1.62083i	−0.585856	+	0.810415i	$0.699242\pi$
$68$	−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	0.979859	+	0.199690i	$0.0639934\pi$
$71$	1.94746	+	7.26802i	0.231121	+	0.862556i	−0.748738	+	0.662866i	$0.769340\pi$
$72$	−15.5074	−	6.35458i	−1.82757	−	0.748894i
$73$			4.94114i			0.578317i	0.957281	+	0.289159i	$0.0933755\pi$
$73$			4.94114i			0.578317i	−0.957281	+	0.289159i	$0.906624\pi$
$74$			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	−0.628767	−	0.777594i	$-0.716440\pi$
$79$	−2.39745	+	1.38417i	−0.269735	+	0.155731i	0.359032	+	0.933325i	$0.383107\pi$
$80$	−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	0.998329	−	0.0577815i	$-0.0184027\pi$
$83$	4.09172	+	7.08706i	0.449124	+	0.777906i	−0.549205	+	0.835688i	$0.685069\pi$
$84$	−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	0.328086	−	0.944648i	$-0.393596\pi$
$89$	1.31975	+	0.353627i	0.139893	+	0.0374843i	−0.188193	+	0.982132i	$0.560263\pi$
$90$	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	$0.0736951\pi$
$97$			4.51979i			0.458915i	−0.973319	+	0.229457i	$0.926305\pi$
$98$	−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	0.924690	−	0.380722i	$-0.124324\pi$
$101$	10.6259	+	6.13488i	1.05732	+	0.610444i	0.132630	+	0.991166i	$0.457658\pi$
$102$	−25.3415	+	8.65593i	−2.50919	+	0.857065i
$103$	−0.732960	−	2.73544i	−0.0722207	−	0.269531i	0.920368	−	0.391053i	$-0.127889\pi$
$103$	−0.732960	−	2.73544i	−0.0722207	−	0.269531i	−0.992589	+	0.121522i	$0.961223\pi$
$104$	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	0.982320	−	0.187211i	$-0.0599447\pi$
$107$	17.9928	+	4.82115i	1.73943	+	0.466078i	0.757109	+	0.653289i	$0.226611\pi$
$108$	−16.4692	+	14.6097i	−1.58475	+	1.40582i
$109$	−7.97367	−	7.97367i	−0.763739	−	0.763739i	0.213257	−	0.976996i	$-0.431593\pi$
$109$	−7.97367	−	7.97367i	−0.763739	−	0.763739i	−0.976996	+	0.213257i	$0.931593\pi$
$110$	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	−0.820936	−	0.571020i	$-0.806548\pi$
$113$	1.86586	−	6.96350i	0.175526	−	0.655071i	0.996462	−	0.0840502i	$-0.0267856\pi$
$114$	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	−0.909855	−	0.414926i	$-0.863807\pi$
$127$	0.964275	−	3.59872i	0.0855656	−	0.319335i	0.995421	+	0.0955911i	$0.0304741\pi$
$128$	−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	−0.994040	−	0.109015i	$-0.965230\pi$
$131$	−4.60809	+	7.98144i	−0.402611	+	0.697342i	0.591430	+	0.806357i	$0.298564\pi$
$132$	−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	−0.945666	−	0.325139i	$-0.894589\pi$
$139$	−13.4041	+	7.73886i	−1.13692	+	0.656402i	−0.191255	+	0.981540i	$0.561256\pi$
$140$	−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	0.542484	+	0.840066i	$0.317484\pi$
$149$	−4.24000	+	15.8239i	−0.347354	+	1.29634i	−0.889838	+	0.456277i	$0.849183\pi$
$150$	4.20389	−	21.2154i	0.343246	−	1.73223i
$151$	−3.06799	+	11.4499i	−0.249670	+	0.931779i	0.721309	+	0.692613i	$0.243541\pi$
$151$	−3.06799	+	11.4499i	−0.249670	+	0.931779i	−0.970979	+	0.239166i	$0.923126\pi$
$152$	−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	0.991567	−	0.129592i	$-0.0413668\pi$
$157$	0.852648	+	3.18213i	0.0680487	+	0.253961i	−0.923519	+	0.383553i	$0.874700\pi$
$158$	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	0.689192	−	0.724579i	$-0.257966\pi$
$163$	5.18709	+	2.99477i	0.406285	+	0.234568i	−0.282908	+	0.959147i	$0.591299\pi$
$164$	−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	0.131940	−	0.991258i	$-0.457879\pi$
$173$	14.7734	−	14.7734i	1.12320	−	1.12320i	0.991258	−	0.131940i	$-0.0421208\pi$
$174$	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	−0.985795	−	0.167954i	$-0.946284\pi$
$179$	−8.54054	−	14.7926i	−0.638350	−	1.10565i	0.347445	−	0.937700i	$-0.387049\pi$
$180$	−20.0326	+	20.1617i	−1.49314	+	1.50276i
$181$		−	4.72115i		−	0.350920i	−0.984487	−	0.175460i	$-0.943859\pi$
$181$		−	4.72115i		−	0.350920i	0.984487	−	0.175460i	$-0.0561413\pi$
$182$	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	$0.0607666\pi$
$193$			5.27209i			0.379493i	−0.981833	+	0.189747i	$0.939233\pi$
$194$	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	−0.763961	−	0.645262i	$-0.776748\pi$
$197$	−8.24074	+	4.75780i	−0.587129	+	0.338979i	0.176833	+	0.984241i	$0.443415\pi$
$198$	−15.2919	+	20.0861i	−1.08675	+	1.42746i
$199$	10.3324	−	17.8962i	0.732442	−	1.26863i	−0.223394	−	0.974728i	$-0.571714\pi$
$199$	10.3324	−	17.8962i	0.732442	−	1.26863i	0.955836	−	0.293899i	$-0.0949530\pi$
$200$	−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	−0.928268	−	0.371911i	$-0.878703\pi$
$223$	−2.12126	+	3.67412i	−0.142050	+	0.246037i	0.786219	+	0.617948i	$0.212036\pi$
$224$	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	$0.0115650\pi$
$227$			1.09457i			0.0726492i	−0.999340	+	0.0363246i	$0.988435\pi$
$228$	−18.0024	−	3.54542i	−1.19224	−	0.234801i
$229$	0.275866	+	1.02954i	0.0182297	+	0.0680342i	0.974442	−	0.224641i	$-0.0721211\pi$
$229$	0.275866	+	1.02954i	0.0182297	+	0.0680342i	−0.956212	+	0.292676i	$0.905454\pi$
$230$	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	−0.798879	−	0.601492i	$-0.794573\pi$
$233$	−3.01298	+	3.01298i	−0.197387	+	0.197387i	0.601492	+	0.798879i	$0.294573\pi$
$234$	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	0.446204	−	0.894931i	$-0.352776\pi$
$239$	19.7898	−	5.30265i	1.28009	−	0.343000i	0.833890	+	0.551931i	$0.186109\pi$
$240$	14.0081	+	15.9309i	0.904216	+	1.02833i
$241$	4.02034	+	4.02034i	0.258973	+	0.258973i	0.824636	−	0.565663i	$-0.191380\pi$
$241$	4.02034	+	4.02034i	0.258973	+	0.258973i	−0.565663	+	0.824636i	$0.691380\pi$
$242$	−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	0.715130	−	0.698991i	$-0.246367\pi$
$251$	7.40423	+	4.27484i	0.467351	+	0.269825i	−0.247779	+	0.968817i	$0.579701\pi$
$252$	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	0.921919	−	0.387382i	$-0.126620\pi$
$257$	8.56929	+	8.56929i	0.534538	+	0.534538i	−0.387382	+	0.921919i	$0.626620\pi$
$258$	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	−0.0873705	−	0.996176i	$-0.527846\pi$
$263$	5.43364	−	1.45594i	0.335052	−	0.0897770i	0.422423	+	0.906399i	$0.361180\pi$
$264$	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	−0.211026	−	0.977480i	$-0.567681\pi$
$269$	−19.0756	−	11.0133i	−1.16306	−	0.671494i	−0.952036	+	0.305986i	$0.901014\pi$
$270$	9.46736	+	27.4289i	0.576165	+	1.66927i
$271$	7.46141	−	27.8464i	0.453248	−	1.69155i	−0.239939	−	0.970788i	$-0.577127\pi$
$271$	7.46141	−	27.8464i	0.453248	−	1.69155i	0.693187	−	0.720758i	$-0.256206\pi$
$272$	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	0.536720	−	0.843760i	$-0.319663\pi$
$277$	−5.11016	−	5.11016i	−0.307040	−	0.307040i	−0.843760	+	0.536720i	$0.819663\pi$
$278$	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	−0.852991	−	0.521925i	$-0.825214\pi$
$281$	2.45886	−	9.17661i	0.146684	−	0.547431i	0.999675	−	0.0255051i	$-0.00811942\pi$
$282$	−6.09257	−	9.08084i	−0.362807	−	0.540756i
$283$	10.0955	−	10.0955i	0.600115	−	0.600115i	−0.340228	−	0.940343i	$-0.610504\pi$
$283$	10.0955	−	10.0955i	0.600115	−	0.600115i	0.940343	+	0.340228i	$0.110504\pi$
$284$	−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	−0.882160	−	0.470950i	$-0.843911\pi$
$293$	−15.6689	+	9.04642i	−0.915384	+	0.528497i	−0.0332248	+	0.999448i	$0.510578\pi$
$294$	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	0.178372	−	0.983963i	$-0.442917\pi$
$311$	−10.3092	−	5.95200i	−0.584579	−	0.337507i	−0.762951	+	0.646456i	$0.776250\pi$
$312$	−29.8698	−	18.0239i	−1.69104	−	1.02040i
$313$	7.56408	−	28.2295i	0.427547	−	1.59563i	−0.330751	−	0.943718i	$-0.607302\pi$
$313$	7.56408	−	28.2295i	0.427547	−	1.59563i	0.758298	−	0.651908i	$-0.226031\pi$
$314$	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	−0.543903	−	0.839148i	$-0.683054\pi$
$317$	−1.58694	+	0.916218i	−0.0891312	+	0.0514599i	0.454772	+	0.890608i	$0.349721\pi$
$318$	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	−0.886535	−	0.462661i	$-0.846895\pi$
$331$	−7.71172	+	7.71172i	−0.423875	+	0.423875i	0.462661	+	0.886535i	$0.346895\pi$
$332$	−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	0.0683480	−	0.997662i	$-0.478227\pi$
$337$	11.4986	−	3.08105i	0.626370	−	0.167835i	0.558022	+	0.829826i	$0.311561\pi$
$338$	−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	−0.0712369	−	0.997459i	$-0.522695\pi$
$347$	−11.7665	−	3.15283i	−0.631660	−	0.169253i	−0.560423	+	0.828207i	$0.689361\pi$
$348$	−21.0517	−	31.3771i	−1.12849	−	1.68199i
$349$	−1.22276	−	4.56341i	−0.0654530	−	0.244274i	0.925446	−	0.378879i	$-0.123690\pi$
$349$	−1.22276	−	4.56341i	−0.0654530	−	0.244274i	−0.990899	+	0.134605i	$0.957024\pi$
$350$	−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	−0.768873	−	0.639402i	$-0.779182\pi$
$353$	3.18089	−	5.50946i	0.169302	−	0.293239i	0.938175	+	0.346163i	$0.112515\pi$
$354$	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	−0.885673	−	0.464309i	$-0.846303\pi$
$359$	−7.98372	+	7.98372i	−0.421365	+	0.421365i	0.464309	+	0.885673i	$0.346303\pi$
$360$	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	−0.971110	−	0.238632i	$-0.923301\pi$
$367$	−4.77820	−	17.8325i	−0.249420	−	0.930848i	0.721690	−	0.692216i	$-0.243365\pi$
$368$	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	−0.936753	−	0.349992i	$-0.886184\pi$
$373$	0.955908	−	3.56750i	0.0494950	−	0.184718i	0.986248	+	0.165274i	$0.0528509\pi$
$374$	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	−0.987152	−	0.159781i	$-0.948921\pi$
$379$	−1.01939	+	3.80442i	−0.0523626	+	0.195420i	0.934790	+	0.355201i	$0.115588\pi$
$380$	−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	−0.999967	−	0.00806509i	$-0.997433\pi$
$383$	−9.92157	−	17.1847i	−0.506968	−	0.878095i	0.492999	−	0.870030i	$-0.335901\pi$
$384$	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	0.930434	+	0.366459i	$0.119430\pi$
$389$	15.4349	+	26.7340i	0.782580	+	1.35547i	−0.147854	+	0.989009i	$0.547237\pi$
$390$	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	−0.827737	−	0.561116i	$-0.810372\pi$
$397$	1.43603	−	2.48727i	0.0720722	−	0.124833i	0.899809	+	0.436283i	$0.143705\pi$
$398$	−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	0.931329	−	0.364179i	$-0.118650\pi$
$401$	11.3572	+	11.3572i	0.567150	+	0.567150i	−0.364179	+	0.931329i	$0.618650\pi$
$402$	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	0.300994	+	0.953626i	$0.402682\pi$
$409$	−8.82741	+	32.9444i	−0.436487	+	1.62899i	−0.737482	+	0.675367i	$0.763985\pi$
$410$	−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	$-0.875345\pi$
$419$		−	15.6257i		−	0.763365i	0.924293	−	0.381683i	$-0.124655\pi$
$420$	62.1394	−	12.4452i	3.03209	−	0.607263i
$421$	−0.798223	−	0.213883i	−0.0389030	−	0.0104240i	0.239315	−	0.970942i	$-0.423077\pi$
$421$	−0.798223	−	0.213883i	−0.0389030	−	0.0104240i	−0.278218	+	0.960518i	$0.589744\pi$
$422$	−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	0.693725	−	0.720240i	$-0.255968\pi$
$431$	19.3984	+	5.19779i	0.934389	+	0.250369i	0.240663	+	0.970609i	$0.422635\pi$
$432$	−27.0022	−	8.99501i	−1.29915	−	0.432773i
$433$	6.70417	+	25.0203i	0.322182	+	1.20240i	0.917114	+	0.398624i	$0.130512\pi$
$433$	6.70417	+	25.0203i	0.322182	+	1.20240i	−0.594932	+	0.803776i	$0.702821\pi$
$434$	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	−0.00264213	+	0.999997i	$0.500841\pi$
$439$	−18.1729	+	31.4763i	−0.867343	+	1.50228i	−0.864701	+	0.502286i	$0.832492\pi$
$440$	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	0.846374	+	0.532589i	$0.178781\pi$
$443$	−3.21821	+	12.0105i	−0.152902	+	0.570637i	−0.999276	+	0.0380485i	$0.987886\pi$
$444$	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	−0.916782	−	0.399387i	$-0.869223\pi$
$449$	−6.83406	−	25.5050i	−0.322519	−	1.20366i	0.594263	−	0.804270i	$-0.297444\pi$
$450$	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	0.933629	−	0.358240i	$-0.116623\pi$
$457$	23.3058	+	13.4556i	1.09020	+	0.629427i	0.156569	+	0.987667i	$0.449956\pi$
$458$	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	0.487008	−	0.873397i	$-0.338088\pi$
$461$	29.2091	−	29.2091i	1.36041	−	1.36041i	0.873397	−	0.487008i	$-0.161912\pi$
$462$	53.2676	−	18.1946i	2.47823	−	0.846491i
$463$	20.6035	+	11.8954i	0.957524	+	0.552826i	0.895410	−	0.445243i	$-0.146883\pi$
$463$	20.6035	+	11.8954i	0.957524	+	0.552826i	0.0621136	+	0.998069i	$0.480216\pi$
$464$	−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	0.427384	−	0.904070i	$-0.359435\pi$
$467$	−10.3013	−	10.3013i	−0.476687	−	0.476687i	−0.904070	+	0.427384i	$0.859435\pi$
$468$	−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	−0.872662	−	0.488325i	$-0.837608\pi$
$479$	−7.90256	−	29.4927i	−0.361077	−	1.34756i	0.511585	−	0.859233i	$-0.329059\pi$
$480$	−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	0.801077	−	0.598562i	$-0.204261\pi$
$487$	15.0779	+	8.70524i	0.683245	+	0.394472i	−0.117831	+	0.993034i	$0.537594\pi$
$488$		−	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	$0.0782966\pi$
$491$			10.7913i			0.487006i	−0.969900	+	0.243503i	$0.921703\pi$
$492$	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	−0.910252	−	0.414054i	$-0.864112\pi$
$499$	−33.3182	+	8.92758i	−1.49153	+	0.399653i	−0.581275	+	0.813708i	$0.697446\pi$
$500$	−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	−0.388708	−	0.921361i	$-0.627078\pi$
$503$	−5.93566	+	1.59046i	−0.264658	+	0.0709149i	0.124050	+	0.992276i	$0.460412\pi$
$504$	−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	0.922870	−	0.385112i	$-0.125837\pi$
$509$	12.1324	+	12.1324i	0.537757	+	0.537757i	−0.385112	+	0.922870i	$0.625837\pi$
$510$	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	−0.802958	−	0.596036i	$-0.796741\pi$
$523$	4.35526	−	16.2540i	0.190442	−	0.710740i	0.993400	−	0.114704i	$-0.0365918\pi$
$524$	−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	0.766404	−	0.642359i	$-0.222044\pi$
$541$	2.88520	+	2.88520i	0.124044	+	0.124044i	−0.642359	+	0.766404i	$0.722044\pi$
$542$	−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	0.557936	−	0.829884i	$-0.311593\pi$
$547$	14.6451	+	3.92415i	0.626181	+	0.167785i	0.0682449	+	0.997669i	$0.478260\pi$
$548$	−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	0.951060	−	0.309008i	$-0.0999969\pi$
$557$	4.90712	+	8.49938i	0.207921	+	0.360130i	−0.743138	+	0.669138i	$0.766664\pi$
$558$	−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	0.234584	−	0.972096i	$-0.424627\pi$
$563$	−1.14626	−	0.307138i	−0.0483089	−	0.0129443i	−0.282893	+	0.959152i	$0.591294\pi$
$564$	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	−0.925925	−	0.377708i	$-0.876712\pi$
$569$	−3.24070	+	5.61306i	−0.135857	+	0.235312i	0.790067	+	0.613020i	$0.210046\pi$
$570$	−13.4091	+	20.1253i	−0.561646	+	0.842958i
$571$	16.2101	+	9.35889i	0.678370	+	0.391657i	0.799241	−	0.601011i	$-0.205235\pi$
$571$	16.2101	+	9.35889i	0.678370	+	0.391657i	−0.120870	+	0.992668i	$0.538569\pi$
$572$	−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	$-0.916018\pi$
$577$		−	12.5287i		−	0.521576i	0.965396	−	0.260788i	$-0.0839824\pi$
$578$	−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	0.436568	−	0.899671i	$-0.356194\pi$
$587$	−3.01120	−	1.73852i	−0.124286	−	0.0717563i	−0.560854	+	0.827915i	$0.689527\pi$
$588$	−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	$-0.673906\pi$
$593$		−	41.6135i		−	1.70886i	0.519565	−	0.854431i	$-0.326094\pi$
$594$	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	0.0994082	−	0.995047i	$-0.468305\pi$
$599$	−17.4411	−	10.0696i	−0.712623	−	0.411433i	−0.812032	+	0.583613i	$0.801638\pi$
$600$	45.8000	−	15.5843i	1.86978	−	0.636227i
$601$	−11.2151	+	19.4252i	−0.457475	+	0.792370i	−0.998827	−	0.0484265i	$-0.984579\pi$
$601$	−11.2151	+	19.4252i	−0.457475	+	0.792370i	0.541352	+	0.840796i	$0.317913\pi$
$602$	−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	0.344421	−	0.938815i	$-0.388075\pi$
$607$	4.26942	+	1.14399i	0.173290	+	0.0464330i	−0.171130	+	0.985248i	$0.554742\pi$
$608$	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	0.999818	−	0.0190806i	$-0.00607392\pi$
$613$	11.9680	+	20.7293i	0.483385	+	0.837247i	−0.516433	+	0.856327i	$0.672741\pi$
$614$	−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	−0.835799	−	0.549036i	$-0.814995\pi$
$617$	−19.3306	+	11.1605i	−0.778219	+	0.449305i	0.0575795	+	0.998341i	$0.481662\pi$
$618$	−3.95955	−	11.5922i	−0.159277	−	0.466306i
$619$	−7.76811	−	2.08146i	−0.312227	−	0.0836609i	0.0993029	−	0.995057i	$-0.468339\pi$
$619$	−7.76811	−	2.08146i	−0.312227	−	0.0836609i	−0.411530	+	0.911396i	$0.635005\pi$
$620$	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	0.0204661	−	0.999791i	$-0.493485\pi$
$631$	13.5166	−	3.62175i	0.538086	−	0.144180i	0.517619	+	0.855611i	$0.326818\pi$
$632$	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	$-0.819165\pi$
$641$		−	27.2442i		−	1.07608i	0.842919	−	0.538041i	$-0.180835\pi$
$642$	79.0561	+	15.5694i	3.12010	+	0.614476i
$643$	−15.1719	−	26.2785i	−0.598322	−	1.03632i	−0.993069	−	0.117534i	$-0.962501\pi$
$643$	−15.1719	−	26.2785i	−0.598322	−	1.03632i	0.394747	−	0.918790i	$-0.370832\pi$
$644$	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	−0.512538	−	0.858664i	$-0.671295\pi$
$647$	9.17395	−	34.2376i	0.360665	−	1.34602i	0.873203	−	0.487356i	$-0.162039\pi$
$648$	−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	0.497093	−	0.867697i	$-0.334401\pi$
$653$	−9.47038	−	9.47038i	−0.370605	−	0.370605i	−0.867697	+	0.497093i	$0.834401\pi$
$654$	−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	$-0.608392\pi$
$659$		−	48.3939i		−	1.88516i	0.333982	−	0.942580i	$-0.391608\pi$
$660$	49.5570	−	24.5198i	1.92900	−	0.954431i
$661$	−26.2013	−	26.2013i	−1.01911	−	1.01911i	−0.999814	−	0.0192993i	$-0.993856\pi$
$661$	−26.2013	−	26.2013i	−1.01911	−	1.01911i	−0.0192993	−	0.999814i	$-0.506144\pi$
$662$	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	0.923619	−	0.383311i	$-0.125216\pi$
$673$	−1.76184	−	6.57527i	−0.0679139	−	0.253458i	−0.991533	+	0.129853i	$0.958550\pi$
$674$	−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	−0.312832	−	0.949809i	$-0.601278\pi$
$677$	−27.5454	−	7.38077i	−1.05866	−	0.283666i	−0.745825	+	0.666142i	$0.767944\pi$
$678$	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	−0.410497	−	0.911862i	$-0.634645\pi$
$683$	−36.7302	−	21.2062i	−1.40544	−	0.811432i	−0.994944	+	0.100430i	$0.967978\pi$
$684$	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	0.956835	+	0.290632i	$0.0938655\pi$
$691$	7.18966	+	26.8322i	0.273507	+	1.02074i	−0.683328	+	0.730112i	$0.739468\pi$
$692$	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	$0.130988\pi$
$701$			21.1808i			0.799988i	−0.916518	+	0.399994i	$0.869012\pi$
$702$	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	−0.958654	−	0.284575i	$-0.908147\pi$
$709$	−17.9487	+	17.9487i	−0.674078	+	0.674078i	0.284575	+	0.958654i	$0.408147\pi$
$710$	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	0.496284	+	0.868160i	$0.334697\pi$
$719$	−13.5065	+	23.3939i	−0.503707	+	0.872445i	−0.999991	+	0.00428523i	$0.998636\pi$
$720$	−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	−0.989622	−	0.143696i	$-0.954101\pi$
$727$	−1.63762	+	6.11169i	−0.0607361	+	0.226670i	0.928886	+	0.370366i	$0.120768\pi$
$728$	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	−0.717436	−	0.696624i	$-0.754685\pi$
$733$	6.62164	−	11.4690i	0.244576	−	0.423618i	0.962012	+	0.273006i	$0.0880180\pi$
$734$	−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	0.937951	−	0.346767i	$-0.112721\pi$
$739$	42.8662	+	11.4860i	1.57686	+	0.422518i	0.638906	+	0.769285i	$0.279387\pi$
$740$	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	$0.169644\pi$
$751$			27.8472i			1.01616i	−0.861310	+	0.508079i	$0.830356\pi$
$752$	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	−0.0110376	−	0.999939i	$-0.503513\pi$
$757$	−14.3227	−	3.83775i	−0.520566	−	0.139485i	−0.509528	+	0.860454i	$0.670180\pi$
$758$	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	−0.433603	−	0.901104i	$-0.642758\pi$
$761$	10.8265	−	40.4050i	0.392460	−	1.46468i	0.826063	−	0.563577i	$-0.190575\pi$
$762$	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	−0.955951	−	0.293527i	$-0.905171\pi$
$769$	−34.6491	−	34.6491i	−1.24948	−	1.24948i	−0.293527	−	0.955951i	$-0.594829\pi$
$770$	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	−0.961886	−	0.273450i	$-0.911835\pi$
$773$	−6.78748	+	11.7563i	−0.244129	+	0.422843i	0.717758	+	0.696293i	$0.245169\pi$
$774$	−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	0.913665	−	0.406468i	$-0.133240\pi$
$787$	2.94060	+	5.09326i	0.104821	+	0.181555i	−0.808844	+	0.588023i	$0.799906\pi$
$788$	−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	−0.998261	−	0.0589443i	$-0.981227\pi$
$797$	−2.94365	+	10.9859i	−0.104270	+	0.389139i	0.893992	+	0.448083i	$0.147893\pi$
$798$	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	0.0565208	−	0.998401i	$-0.481999\pi$
$809$	27.0043	−	15.5910i	0.949422	−	0.548149i	0.892901	+	0.450252i	$0.148666\pi$
$810$	−40.0862	−	30.3155i	−1.40848	−	1.06518i
$811$	0.690589	−	0.690589i	0.0242499	−	0.0242499i	−0.694878	−	0.719128i	$-0.744542\pi$
$811$	0.690589	−	0.690589i	0.0242499	−	0.0242499i	0.719128	+	0.694878i	$0.244542\pi$
$812$			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	0.783507	+	0.621383i	$0.213429\pi$
$821$	11.9100	+	44.4487i	0.415662	+	1.55127i	−0.367845	+	0.929887i	$0.619904\pi$
$822$	−16.6092	+	1.12027i	−0.579314	+	0.0390738i
$823$	−42.4026	−	11.3617i	−1.47806	−	0.396046i	−0.572375	−	0.819992i	$-0.693978\pi$
$823$	−42.4026	−	11.3617i	−1.47806	−	0.396046i	−0.905687	+	0.423946i	$0.860645\pi$
$824$	−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	0.665794	−	0.746135i	$-0.268093\pi$
$829$	−9.01993	−	15.6230i	−0.313275	−	0.542608i	−0.979069	+	0.203527i	$0.934759\pi$
$830$	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	−0.456866	−	0.889535i	$-0.651028\pi$
$839$	12.5325	−	12.5325i	0.432669	−	0.432669i	0.889535	+	0.456866i	$0.151028\pi$
$840$	−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	−0.630402	−	0.776269i	$-0.717110\pi$
$853$	−7.98305	+	4.60902i	−0.273335	+	0.157810i	0.357067	+	0.934079i	$0.383777\pi$
$854$	−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	−0.414970	−	0.909835i	$-0.636208\pi$
$857$	11.6900	−	43.6276i	0.399322	−	1.49029i	0.814292	−	0.580456i	$-0.197126\pi$
$858$	−37.8704	+	36.4340i	−1.29287	+	1.24384i
$859$	25.0898	+	14.4856i	0.856054	+	0.494243i	0.862689	−	0.505735i	$-0.168779\pi$
$859$	25.0898	+	14.4856i	0.856054	+	0.494243i	−0.00663500	+	0.999978i	$0.502112\pi$
$860$	−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	−0.867329	−	0.497735i	$-0.834165\pi$
$877$	−25.7626	+	14.8741i	−0.869943	+	0.502262i	−0.00261341	+	0.999997i	$0.500832\pi$
$878$	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	0.0275422	−	0.999621i	$-0.491232\pi$
$881$	26.9216	−	15.5432i	0.907010	−	0.523663i	0.879468	+	0.475958i	$0.157899\pi$
$882$	−46.9106	+	36.2793i	−1.57956	+	1.22159i
$883$	−14.2288	+	14.2288i	−0.478836	+	0.478836i	−0.904759	−	0.425923i	$-0.859949\pi$
$883$	−14.2288	+	14.2288i	−0.478836	+	0.478836i	0.425923	+	0.904759i	$0.359949\pi$
$884$	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	−0.978989	−	0.203911i	$-0.934635\pi$
$887$	−23.0838	+	23.0838i	−0.775078	+	0.775078i	0.203911	+	0.978989i	$0.434635\pi$
$888$	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	0.0784543	−	0.996918i	$-0.475002\pi$
$907$	19.4208	−	5.20378i	0.644857	−	0.172789i	0.566402	+	0.824129i	$0.308335\pi$
$908$	−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	−1.00000		0.000575797i	$-0.999817\pi$
$911$	−15.1064	−	26.1651i	−0.500499	−	0.866889i	0.499501	−	0.866313i	$-0.333517\pi$
$912$	−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	0.876647	−	0.481134i	$-0.159775\pi$
$919$	27.2318	+	15.7223i	0.898296	+	0.518631i	0.0216489	+	0.999766i	$0.493108\pi$
$920$	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	0.948546	−	0.316640i	$-0.102555\pi$
$929$	19.2602	+	19.2602i	0.631905	+	0.631905i	−0.316640	+	0.948546i	$0.602555\pi$
$930$	−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	−0.0265161	−	0.999648i	$-0.508441\pi$
$937$	29.7880	−	29.7880i	0.973132	−	0.973132i	0.999648	+	0.0265161i	$0.00844132\pi$
$938$	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	−0.803458	−	0.595361i	$-0.797009\pi$
$941$	−12.4336	−	46.4028i	−0.405323	−	1.51269i	0.398135	−	0.917327i	$-0.369658\pi$
$942$	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	−0.927137	−	0.374723i	$-0.877738\pi$
$947$	−4.27900	+	7.41145i	−0.139049	+	0.240840i	0.788088	+	0.615563i	$0.211071\pi$
$948$	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	0.997304	+	0.0733774i	$0.0233777\pi$
$953$	5.25735	+	19.6207i	0.170302	+	0.635576i	−0.827002	+	0.562199i	$0.809956\pi$
$954$	−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	−0.0851525	−	0.996368i	$-0.527138\pi$
$967$	−30.8046	−	17.7850i	−0.990609	−	0.571928i	−0.905456	+	0.424440i	$0.860471\pi$
$968$	−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	−0.819343	−	0.573303i	$-0.805662\pi$
$971$	2.70549	−	4.68604i	0.0868231	−	0.150382i	0.906167	+	0.422921i	$0.138995\pi$
$972$	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	$0.255837\pi$
$977$			45.0072i			1.43991i	−0.694022	+	0.719954i	$0.744163\pi$
$978$	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	−0.996434	−	0.0843704i	$-0.973112\pi$
$983$	−44.5707	+	25.7329i	−1.42158	+	0.820752i	−0.425150	+	0.905123i	$0.639779\pi$
$984$	−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	0.732601	−	0.680659i	$-0.238306\pi$
$991$	−7.02534	−	12.1682i	−0.223167	−	0.386537i	−0.955768	+	0.294122i	$0.904973\pi$
$992$	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	−0.521516	−	0.853242i	$-0.674633\pi$
$997$	10.4743	−	10.4743i	0.331726	−	0.331726i	0.853242	+	0.521516i	$0.174633\pi$
$998$	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.418.7	yes	320
5.2	odd	4		585.2.cc.a.67.74	yes	320
9.7	even	3		585.2.ca.a.223.74	yes	320
13.7	odd	12		585.2.dv.a.553.7	yes	320
45.7	odd	12		585.2.dv.a.457.7	yes	320
65.7	even	12		585.2.ca.a.202.7	✓	320
117.7	odd	12		585.2.cc.a.358.74	yes	320
585.7	even	12	inner	585.2.dt.a.7.7	yes	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
585.2.ca.a.202.7	✓	320	65.7	even	12
585.2.ca.a.223.74	yes	320	9.7	even	3
585.2.cc.a.67.74	yes	320	5.2	odd	4
585.2.cc.a.358.74	yes	320	117.7	odd	12
585.2.dt.a.7.7	yes	320	585.7	even	12	inner
585.2.dt.a.418.7	yes	320	1.1	even	1	trivial
585.2.dv.a.457.7	yes	320	45.7	odd	12
585.2.dv.a.553.7	yes	320	13.7	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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