LMFDB - Embedded newform 570.2.bi.a.473.23

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [570,2,Mod(17,570)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(570, base_ring=CyclotomicField(36))

chi = DirichletCharacter(H, H._module([18, 9, 20]))

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

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

chi := DirichletCharacter("570.17");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 570 = 2 \cdot 3 \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	570.bi (of order $36$, degree $12$, 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:	$4.55147291521$
Analytic rank:	$0$
Dimension:	$480$
Relative dimension:	$40$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			473.23
Character	$\chi$	$=$	570.473
Dual form			570.2.bi.a.47.23

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.819152 - 0.573576i) q^{2} +(-1.59136 - 0.683794i) q^{3} +(0.342020 - 0.939693i) q^{4} +(-1.40521 - 1.73937i) q^{5} +(-1.69577 + 0.352635i) q^{6} +(-3.56705 - 0.955789i) q^{7} +(-0.258819 - 0.965926i) q^{8} +(2.06485 + 2.17632i) q^{9} +O(q^{10})$	\(q+(0.819152 - 0.573576i) q^{2} +(-1.59136 - 0.683794i) q^{3} +(0.342020 - 0.939693i) q^{4} +(-1.40521 - 1.73937i) q^{5} +(-1.69577 + 0.352635i) q^{6} +(-3.56705 - 0.955789i) q^{7} +(-0.258819 - 0.965926i) q^{8} +(2.06485 + 2.17632i) q^{9} +(-2.14874 - 0.618811i) q^{10} +(-0.294826 - 0.170218i) q^{11} +(-1.18683 + 1.26152i) q^{12} +(4.18475 + 0.366118i) q^{13} +(-3.47018 + 1.26304i) q^{14} +(1.04682 + 3.72883i) q^{15} +(-0.766044 - 0.642788i) q^{16} +(-4.59537 + 3.21771i) q^{17} +(2.93972 + 0.598391i) q^{18} +(1.82520 + 3.95837i) q^{19} +(-2.11508 + 0.725565i) q^{20} +(5.02290 + 3.96013i) q^{21} +(-0.339140 + 0.0296709i) q^{22} +(-8.17331 + 3.81128i) q^{23} +(-0.248620 + 1.71411i) q^{24} +(-1.05078 + 4.88834i) q^{25} +(3.63794 - 2.10037i) q^{26} +(-1.79776 - 4.87525i) q^{27} +(-2.11815 + 3.02503i) q^{28} +(-0.583724 - 3.31046i) q^{29} +(2.99628 + 2.45404i) q^{30} +(-2.44632 - 4.23715i) q^{31} +(-0.996195 - 0.0871557i) q^{32} +(0.352780 + 0.472478i) q^{33} +(-1.91870 + 5.27159i) q^{34} +(3.34998 + 7.54749i) q^{35} +(2.75130 - 1.19598i) q^{36} +(1.23491 - 1.23491i) q^{37} +(3.76554 + 2.19561i) q^{38} +(-6.40909 - 3.44413i) q^{39} +(-1.31640 + 1.80751i) q^{40} +(1.92901 - 2.29890i) q^{41} +(6.38596 + 0.362934i) q^{42} +(-6.21962 - 2.90026i) q^{43} +(-0.260789 + 0.218828i) q^{44} +(0.883880 - 6.64972i) q^{45} +(-4.50913 + 7.81003i) q^{46} +(5.28378 - 7.54602i) q^{47} +(0.779518 + 1.54672i) q^{48} +(5.74816 + 3.31870i) q^{49} +(1.94308 + 4.60700i) q^{50} +(9.51313 - 1.97825i) q^{51} +(1.77531 - 3.80716i) q^{52} +(-6.46013 + 3.01241i) q^{53} +(-4.26897 - 2.96242i) q^{54} +(0.118221 + 0.752002i) q^{55} +3.69289i q^{56} +(-0.197836 - 7.54724i) q^{57} +(-2.37696 - 2.37696i) q^{58} +(-0.998240 + 5.66130i) q^{59} +(3.86199 + 0.291643i) q^{60} +(-2.81708 - 1.02533i) q^{61} +(-4.43423 - 2.06772i) q^{62} +(-5.28533 - 9.73663i) q^{63} +(-0.866025 + 0.500000i) q^{64} +(-5.24363 - 7.79328i) q^{65} +(0.559983 + 0.184685i) q^{66} +(-3.62374 - 2.53737i) q^{67} +(1.45195 + 5.41875i) q^{68} +(15.6128 - 0.476251i) q^{69} +(7.07321 + 4.26107i) q^{70} +(-2.31390 - 6.35740i) q^{71} +(1.56775 - 2.55777i) q^{72} +(0.237960 + 2.71990i) q^{73} +(0.303263 - 1.71989i) q^{74} +(5.01479 - 7.06059i) q^{75} +(4.34390 - 0.361282i) q^{76} +(0.888968 + 0.888968i) q^{77} +(-7.22550 + 0.854836i) q^{78} +(-10.8537 + 12.9349i) q^{79} +(-0.0415911 + 2.23568i) q^{80} +(-0.472780 + 8.98757i) q^{81} +(0.261554 - 2.98958i) q^{82} +(-0.963975 - 0.258296i) q^{83} +(5.43924 - 3.36554i) q^{84} +(12.0542 + 3.47147i) q^{85} +(-6.75833 + 1.19168i) q^{86} +(-1.33476 + 5.66728i) q^{87} +(-0.0881113 + 0.328836i) q^{88} +(7.90618 - 6.63407i) q^{89} +(-3.09009 - 5.95410i) q^{90} +(-14.5773 - 5.30570i) q^{91} +(0.785992 + 8.98393i) q^{92} +(0.995635 + 8.41560i) q^{93} -9.21199i q^{94} +(4.32026 - 8.73701i) q^{95} +(1.52571 + 0.819888i) q^{96} +(-5.06549 - 7.23427i) q^{97} +(6.61214 - 0.578488i) q^{98} +(-0.238322 - 0.993112i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 480 q+O(q^{10}) $ 480 * q	$ 480 q - 36 q^{15} - 48 q^{18} + 24 q^{22} - 24 q^{25} + 72 q^{33} + 24 q^{43} - 36 q^{45} + 24 q^{51} - 120 q^{55} + 108 q^{57} - 48 q^{60} - 48 q^{61} - 36 q^{63} - 24 q^{66} + 48 q^{67} - 48 q^{70} - 48 q^{78} - 144 q^{81} - 48 q^{85} - 96 q^{87} - 168 q^{90} - 144 q^{91} - 228 q^{93} + 48 q^{97}+O(q^{100}) $ 480 * q - 36 * q^15 - 48 * q^18 + 24 * q^22 - 24 * q^25 + 72 * q^33 + 24 * q^43 - 36 * q^45 + 24 * q^51 - 120 * q^55 + 108 * q^57 - 48 * q^60 - 48 * q^61 - 36 * q^63 - 24 * q^66 + 48 * q^67 - 48 * q^70 - 48 * q^78 - 144 * q^81 - 48 * q^85 - 96 * q^87 - 168 * q^90 - 144 * q^91 - 228 * q^93 + 48 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/570\mathbb{Z}\right)^\times$.

$n$	$191$	$211$	$457$
$\chi(n)$	$-1$	$e\left(\frac{5}{9}\right)$	$e\left(\frac{3}{4}\right)$

Coefficient data

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

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

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

$2$	0.819152	−	0.573576i	0.579228	−	0.405580i
$2$	0.819152	−	0.573576i	0.579228	−	0.405580i
$3$	−1.59136	−	0.683794i	−0.918772	−	0.394789i
$3$	−1.59136	−	0.683794i	−0.918772	−	0.394789i
$4$	0.342020	−	0.939693i	0.171010	−	0.469846i
$5$	−1.40521	−	1.73937i	−0.628428	−	0.777868i
$5$	−1.40521	−	1.73937i	−0.628428	−	0.777868i
$6$	−1.69577	+	0.352635i	−0.692297	+	0.143963i
$7$	−3.56705	−	0.955789i	−1.34822	−	0.361254i	−0.488742	−	0.872428i	$-0.662544\pi$
$7$	−3.56705	−	0.955789i	−1.34822	−	0.361254i	−0.859477	+	0.511174i	$0.829211\pi$
$8$	−0.258819	−	0.965926i	−0.0915064	−	0.341506i
$9$	2.06485	+	2.17632i	0.688284	+	0.725442i
$10$	−2.14874	−	0.618811i	−0.679490	−	0.195685i
$11$	−0.294826	−	0.170218i	−0.0888934	−	0.0513226i	0.454894	−	0.890545i	$-0.349677\pi$
$11$	−0.294826	−	0.170218i	−0.0888934	−	0.0513226i	−0.543788	+	0.839223i	$0.683010\pi$
$12$	−1.18683	+	1.26152i	−0.342609	+	0.364169i
$13$	4.18475	+	0.366118i	1.16064	+	0.101543i	0.651161	−	0.758940i	$-0.274282\pi$
$13$	4.18475	+	0.366118i	1.16064	+	0.101543i	0.509480	+	0.860483i	$0.329838\pi$
$14$	−3.47018	+	1.26304i	−0.927444	+	0.337562i
$15$	1.04682	+	3.72883i	0.270288	+	0.962779i
$16$	−0.766044	−	0.642788i	−0.191511	−	0.160697i
$17$	−4.59537	+	3.21771i	−1.11454	+	0.780409i	−0.977663	−	0.210179i	$-0.932595\pi$
$17$	−4.59537	+	3.21771i	−1.11454	+	0.780409i	−0.136877	+	0.990588i	$0.543707\pi$
$18$	2.93972	+	0.598391i	0.692898	+	0.141042i
$19$	1.82520	+	3.95837i	0.418729	+	0.908111i
$19$	1.82520	+	3.95837i	0.418729	+	0.908111i
$20$	−2.11508	+	0.725565i	−0.472946	+	0.162241i
$21$	5.02290	+	3.96013i	1.09609	+	0.864172i
$22$	−0.339140	+	0.0296709i	−0.0723050	+	0.00632586i
$23$	−8.17331	+	3.81128i	−1.70425	+	0.794706i	−0.708194	+	0.706018i	$0.750490\pi$
$23$	−8.17331	+	3.81128i	−1.70425	+	0.794706i	−0.996059	+	0.0886883i	$0.971733\pi$
$24$	−0.248620	+	1.71411i	−0.0507494	+	0.349892i
$25$	−1.05078	+	4.88834i	−0.210157	+	0.977668i
$26$	3.63794	−	2.10037i	0.713459	−	0.411916i
$27$	−1.79776	−	4.87525i	−0.345980	−	0.938242i
$28$	−2.11815	+	3.02503i	−0.400293	+	0.571678i
$29$	−0.583724	−	3.31046i	−0.108395	−	0.614737i	−0.989810	−	0.142395i	$-0.954520\pi$
$29$	−0.583724	−	3.31046i	−0.108395	−	0.614737i	0.881415	−	0.472342i	$-0.156591\pi$
$30$	2.99628	+	2.45404i	0.547042	+	0.448045i
$31$	−2.44632	−	4.23715i	−0.439372	−	0.761014i	0.558269	−	0.829660i	$-0.311466\pi$
$31$	−2.44632	−	4.23715i	−0.439372	−	0.761014i	−0.997641	+	0.0686457i	$0.978132\pi$
$32$	−0.996195	−	0.0871557i	−0.176104	−	0.0154071i
$33$	0.352780	+	0.472478i	0.0614112	+	0.0822479i
$34$	−1.91870	+	5.27159i	−0.329055	+	0.904070i
$35$	3.34998	+	7.54749i	0.566251	+	1.27576i
$36$	2.75130	−	1.19598i	0.458550	−	0.199330i
$37$	1.23491	−	1.23491i	0.203017	−	0.203017i	−0.598274	−	0.801291i	$-0.704147\pi$
$37$	1.23491	−	1.23491i	0.203017	−	0.203017i	0.801291	+	0.598274i	$0.204147\pi$
$38$	3.76554	+	2.19561i	0.610851	+	0.356176i
$39$	−6.40909	−	3.44413i	−1.02628	−	0.551503i
$40$	−1.31640	+	1.80751i	−0.208142	+	0.285792i
$41$	1.92901	−	2.29890i	0.301260	−	0.359028i	−0.594084	−	0.804403i	$-0.702485\pi$
$41$	1.92901	−	2.29890i	0.301260	−	0.359028i	0.895344	+	0.445375i	$0.146930\pi$
$42$	6.38596	+	0.362934i	0.985375	+	0.0560019i
$43$	−6.21962	−	2.90026i	−0.948483	−	0.442285i	−0.114100	−	0.993469i	$-0.536398\pi$
$43$	−6.21962	−	2.90026i	−0.948483	−	0.442285i	−0.834383	+	0.551184i	$0.814176\pi$
$44$	−0.260789	+	0.218828i	−0.0393154	+	0.0329895i
$45$	0.883880	−	6.64972i	0.131761	−	0.991282i
$46$	−4.50913	+	7.81003i	−0.664834	+	1.15153i
$47$	5.28378	−	7.54602i	0.770718	−	1.10070i	−0.221374	−	0.975189i	$-0.571054\pi$
$47$	5.28378	−	7.54602i	0.770718	−	1.10070i	0.992092	−	0.125511i	$-0.0400570\pi$
$48$	0.779518	+	1.54672i	0.112514	+	0.223250i
$49$	5.74816	+	3.31870i	0.821165	+	0.474100i
$50$	1.94308	+	4.60700i	0.274794	+	0.651528i
$51$	9.51313	−	1.97825i	1.33211	−	0.277010i
$52$	1.77531	−	3.80716i	0.246191	−	0.527958i
$53$	−6.46013	+	3.01241i	−0.887368	+	0.413786i	−0.812196	−	0.583384i	$-0.801728\pi$
$53$	−6.46013	+	3.01241i	−0.887368	+	0.413786i	−0.0751714	+	0.997171i	$0.523950\pi$
$54$	−4.26897	−	2.96242i	−0.580933	−	0.403134i
$55$	0.118221	+	0.752002i	0.0159409	+	0.101400i
$56$			3.69289i			0.493483i
$57$	−0.197836	−	7.54724i	−0.0262040	−	0.999657i
$58$	−2.37696	−	2.37696i	−0.312110	−	0.312110i
$59$	−0.998240	+	5.66130i	−0.129960	+	0.737038i	0.848278	+	0.529551i	$0.177640\pi$
$59$	−0.998240	+	5.66130i	−0.129960	+	0.737038i	−0.978238	+	0.207487i	$0.933471\pi$
$60$	3.86199	+	0.291643i	0.498580	+	0.0376509i
$61$	−2.81708	−	1.02533i	−0.360690	−	0.131280i	0.155317	−	0.987865i	$-0.450360\pi$
$61$	−2.81708	−	1.02533i	−0.360690	−	0.131280i	−0.516007	+	0.856584i	$0.672582\pi$
$62$	−4.43423	−	2.06772i	−0.563148	−	0.262600i
$63$	−5.28533	−	9.73663i	−0.665889	−	1.22670i
$64$	−0.866025	+	0.500000i	−0.108253	+	0.0625000i
$65$	−5.24363	−	7.79328i	−0.650392	−	0.966638i
$66$	0.559983	+	0.184685i	0.0689291	+	0.0227332i
$67$	−3.62374	−	2.53737i	−0.442710	−	0.309989i	0.330883	−	0.943672i	$-0.392654\pi$
$67$	−3.62374	−	2.53737i	−0.442710	−	0.309989i	−0.773593	+	0.633683i	$0.781542\pi$
$68$	1.45195	+	5.41875i	0.176075	+	0.657120i
$69$	15.6128	−	0.476251i	1.87956	−	0.0573339i
$70$	7.07321	+	4.26107i	0.845410	+	0.509295i
$71$	−2.31390	−	6.35740i	−0.274610	−	0.754484i	−0.997950	−	0.0639927i	$-0.979617\pi$
$71$	−2.31390	−	6.35740i	−0.274610	−	0.754484i	0.723341	−	0.690491i	$-0.242606\pi$
$72$	1.56775	−	2.55777i	0.184761	−	0.301436i
$73$	0.237960	+	2.71990i	0.0278511	+	0.318340i	0.997322	+	0.0731340i	$0.0233001\pi$
$73$	0.237960	+	2.71990i	0.0278511	+	0.318340i	−0.969471	+	0.245206i	$0.921144\pi$
$74$	0.303263	−	1.71989i	0.0352536	−	0.199933i
$75$	5.01479	−	7.06059i	0.579058	−	0.815286i
$76$	4.34390	−	0.361282i	0.498280	−	0.0414419i
$77$	0.888968	+	0.888968i	0.101307	+	0.101307i
$78$	−7.22550	+	0.854836i	−0.818126	+	0.0967911i
$79$	−10.8537	+	12.9349i	−1.22114	+	1.45529i	−0.371081	+	0.928600i	$0.621013\pi$
$79$	−10.8537	+	12.9349i	−1.22114	+	1.45529i	−0.850055	+	0.526694i	$0.823432\pi$
$80$	−0.0415911	+	2.23568i	−0.00465002	+	0.249957i
$81$	−0.472780	+	8.98757i	−0.0525311	+	0.998619i
$82$	0.261554	−	2.98958i	0.0288839	−	0.330144i
$83$	−0.963975	−	0.258296i	−0.105810	−	0.0283517i	0.205526	−	0.978652i	$-0.434110\pi$
$83$	−0.963975	−	0.258296i	−0.105810	−	0.0283517i	−0.311336	+	0.950300i	$0.600776\pi$
$84$	5.43924	−	3.36554i	0.593470	−	0.367210i
$85$	12.0542	+	3.47147i	1.30746	+	0.376534i
$86$	−6.75833	+	1.19168i	−0.728770	+	0.128502i
$87$	−1.33476	+	5.66728i	−0.143101	+	0.607596i
$88$	−0.0881113	+	0.328836i	−0.00939269	+	0.0350540i
$89$	7.90618	−	6.63407i	0.838054	−	0.703210i	−0.119071	−	0.992886i	$-0.537992\pi$
$89$	7.90618	−	6.63407i	0.838054	−	0.703210i	0.957125	+	0.289675i	$0.0935473\pi$
$90$	−3.09009	−	5.95410i	−0.325724	−	0.627618i
$91$	−14.5773	−	5.30570i	−1.52812	−	0.556189i
$92$	0.785992	+	8.98393i	0.0819454	+	0.936640i
$93$	0.995635	+	8.41560i	0.103243	+	0.872657i
$94$		−	9.21199i		−	0.950144i
$95$	4.32026	−	8.73701i	0.443250	−	0.896398i
$96$	1.52571	+	0.819888i	0.155717	+	0.0836795i
$97$	−5.06549	−	7.23427i	−0.514322	−	0.734529i	0.475046	−	0.879961i	$-0.342432\pi$
$97$	−5.06549	−	7.23427i	−0.514322	−	0.734529i	−0.989368	+	0.145433i	$0.953543\pi$
$98$	6.61214	−	0.578488i	0.667927	−	0.0584361i
$99$	−0.238322	−	0.993112i	−0.0239523	−	0.0998115i
$100$	4.23415	+	2.65932i	0.423415	+	0.265932i
$101$	−8.15454	−	9.71820i	−0.811407	−	0.966997i	0.188479	−	0.982077i	$-0.439644\pi$
$101$	−8.15454	−	9.71820i	−0.811407	−	0.966997i	−0.999886	+	0.0150800i	$0.995200\pi$
$102$	6.65803	−	7.07700i	0.659243	−	0.700727i
$103$	5.43426	−	1.45611i	0.535454	−	0.143474i	0.0190483	−	0.999819i	$-0.493936\pi$
$103$	5.43426	−	1.45611i	0.535454	−	0.143474i	0.516406	+	0.856344i	$0.327270\pi$
$104$	−0.729450	−	4.13692i	−0.0715285	−	0.405658i
$105$	−0.170099	−	14.3015i	−0.0166000	−	1.39568i
$106$	−3.56398	+	6.17300i	−0.346165	+	0.599575i
$107$	0.248359	−	0.926887i	0.0240097	−	0.0896056i	−0.952881	−	0.303343i	$-0.901897\pi$
$107$	0.248359	−	0.926887i	0.0240097	−	0.0896056i	0.976891	+	0.213738i	$0.0685638\pi$
$108$	−5.19611	+	0.0219109i	−0.499996	+	0.00210838i
$109$	1.82117	+	5.00362i	0.174436	+	0.479260i	0.995843	−	0.0910826i	$-0.0290327\pi$
$109$	1.82117	+	5.00362i	0.174436	+	0.479260i	−0.821407	+	0.570342i	$0.806810\pi$
$110$	0.528171	+	0.548195i	0.0503591	+	0.0522683i
$111$	−2.80960	+	1.12076i	−0.266676	+	0.106378i
$112$	2.11815	+	3.02503i	0.200147	+	0.285839i
$113$	−0.335624	+	0.335624i	−0.0315728	+	0.0315728i	−0.722717	−	0.691144i	$-0.757107\pi$
$113$	−0.335624	+	0.335624i	−0.0315728	+	0.0315728i	0.691144	+	0.722717i	$0.257107\pi$
$114$	−4.49098	−	6.06886i	−0.420619	−	0.568401i
$115$	18.1144	+	8.86074i	1.68918	+	0.826268i
$116$	−3.31046	−	0.583724i	−0.307369	−	0.0541974i
$117$	7.84409	+	9.86336i	0.725187	+	0.911868i
$118$	2.42948	+	5.21003i	0.223652	+	0.479622i
$119$	19.4674	−	7.08554i	1.78457	−	0.649531i
$120$	3.33083	−	1.97624i	0.304062	−	0.180406i
$121$	−5.44205	−	9.42591i	−0.494732	−	0.856901i
$122$	−2.89572	+	0.775906i	−0.262166	+	0.0702472i
$123$	−4.64172	+	2.33933i	−0.418530	+	0.210931i
$124$	−4.81831	+	0.849597i	−0.432697	+	0.0762961i
$125$	9.97918	−	5.04143i	0.892565	−	0.450920i
$126$	−9.91419	−	4.94424i	−0.883226	−	0.440468i
$127$	1.55905	−	17.8200i	0.138343	−	1.58127i	−0.536882	−	0.843658i	$-0.680398\pi$
$127$	1.55905	−	17.8200i	0.138343	−	1.58127i	0.675225	−	0.737612i	$-0.264047\pi$
$128$	−0.422618	+	0.906308i	−0.0373545	+	0.0801070i
$129$	7.91447	+	8.86829i	0.696830	+	0.780809i
$130$	−8.76537	−	3.37626i	−0.768774	−	0.296118i
$131$	15.6976	+	2.76792i	1.37151	+	0.241834i	0.810385	−	0.585898i	$-0.199258\pi$
$131$	15.6976	+	2.76792i	1.37151	+	0.241834i	0.561124	+	0.827732i	$0.310369\pi$
$132$	0.564642	−	0.169908i	0.0491458	−	0.0147886i
$133$	−2.72721	−	15.8642i	−0.236479	−	1.37560i
$134$	−4.42377			−0.382155
$135$	−5.95361	+	9.97770i	−0.512405	+	0.858744i
$136$	4.29744	+	3.60598i	0.368502	+	0.309210i
$137$	5.71910	+	12.2646i	0.488615	+	1.04784i	0.983836	+	0.179072i	$0.0573094\pi$
$137$	5.71910	+	12.2646i	0.488615	+	1.04784i	−0.495221	+	0.868767i	$0.664913\pi$
$138$	12.5161	−	9.34526i	1.06544	−	0.795521i
$139$	−9.53660	−	11.3653i	−0.808884	−	0.963990i	0.190961	−	0.981598i	$-0.438840\pi$
$139$	−9.53660	−	11.3653i	−0.808884	−	0.963990i	−0.999845	+	0.0176072i	$0.994395\pi$
$140$	8.23808	−	0.566561i	0.696245	−	0.0478832i
$141$	−13.5683	+	8.39541i	−1.14266	+	0.707021i
$142$	−5.54189	−	3.88047i	−0.465065	−	0.325642i
$143$	−1.17145	−	0.820260i	−0.0979618	−	0.0685936i
$144$	−0.182853	−	2.99442i	−0.0152378	−	0.249535i
$145$	−4.93785	+	5.66719i	−0.410066	+	0.470635i
$146$	1.75500	+	2.09152i	0.145244	+	0.173096i
$147$	−6.87808	−	9.21180i	−0.567294	−	0.759777i
$148$	−0.738070	−	1.58280i	−0.0606689	−	0.130105i
$149$	−3.55744	−	2.98505i	−0.291437	−	0.244545i	0.485333	−	0.874330i	$-0.338699\pi$
$149$	−3.55744	−	2.98505i	−0.291437	−	0.244545i	−0.776769	+	0.629785i	$0.783143\pi$
$150$	0.0580917	−	8.66006i	0.00474317	−	0.707091i
$151$	−2.95211			−0.240240			−0.120120	−	0.992759i	$-0.538328\pi$
$151$	−2.95211			−0.240240			−0.120120	+	0.992759i	$0.538328\pi$
$152$	3.35109	−	2.78750i	0.271809	−	0.226096i
$153$	−16.4915	−	3.35692i	−1.33326	−	0.271391i
$154$	1.23809	+	0.218309i	0.0997682	+	0.0175918i
$155$	−3.93236	+	10.2091i	−0.315855	+	0.820015i
$156$	−5.42847	+	4.84461i	−0.434625	+	0.387880i
$157$	−1.01369	+	2.17386i	−0.0809012	+	0.173493i	−0.942597	−	0.333931i	$-0.891625\pi$
$157$	−1.01369	+	2.17386i	−0.0809012	+	0.173493i	0.861696	+	0.507425i	$0.169402\pi$
$158$	−1.47166	+	16.8211i	−0.117079	+	1.33822i
$159$	12.3403	−	0.376426i	0.978647	−	0.0298525i
$160$	1.24826	+	1.85522i	0.0986840	+	0.146668i
$161$	32.7974	−	5.78307i	2.58480	−	0.455770i
$162$	4.76778	+	7.63336i	0.374592	+	0.599734i
$163$	−23.7318	+	6.35892i	−1.85882	+	0.498069i	−0.999901	−	0.0140454i	$-0.995529\pi$
$163$	−23.7318	+	6.35892i	−1.85882	+	0.498069i	−0.858917	+	0.512114i	$0.828862\pi$
$164$	−1.50050	−	2.59894i	−0.117169	−	0.202943i
$165$	0.326083	−	1.27754i	0.0253855	−	0.0994566i
$166$	−0.937795	+	0.341329i	−0.0727870	+	0.0264923i
$167$	−3.67317	−	7.87714i	−0.284239	−	0.609552i	0.711406	−	0.702781i	$-0.248059\pi$
$167$	−3.67317	−	7.87714i	−0.284239	−	0.609552i	−0.995645	+	0.0932295i	$0.970281\pi$
$168$	2.52517	−	5.87671i	0.194821	−	0.453398i
$169$	4.57559	+	0.806800i	0.351969	+	0.0620615i
$170$	11.8654	−	4.07035i	0.910034	−	0.312182i
$171$	−4.84593	+	12.1457i	−0.370578	+	0.928801i
$172$	−4.85258	+	4.85258i	−0.370006	+	0.370006i
$173$	−7.18338	−	10.2589i	−0.546143	−	0.779973i	0.447290	−	0.894389i	$-0.352389\pi$
$173$	−7.18338	−	10.2589i	−0.546143	−	0.779973i	−0.993433	+	0.114416i	$0.963500\pi$
$174$	2.15725	+	5.40795i	0.163541	+	0.409976i
$175$	8.42042	−	16.4326i	0.636524	−	1.24219i
$176$	0.116436	+	0.319905i	0.00877668	+	0.0241137i
$177$	5.45972	−	8.32657i	0.410378	−	0.625864i
$178$	2.67122	−	9.96911i	0.200216	−	0.747217i
$179$	−9.99794	+	17.3169i	−0.747281	+	1.29433i	0.201840	+	0.979419i	$0.435308\pi$
$179$	−9.99794	+	17.3169i	−0.747281	+	1.29433i	−0.949121	+	0.314911i	$0.898025\pi$
$180$	−5.94639	−	3.10491i	−0.443218	−	0.231427i
$181$	3.44299	+	19.5261i	0.255915	+	1.45137i	0.793713	+	0.608293i	$0.208145\pi$
$181$	3.44299	+	19.5261i	0.255915	+	1.45137i	−0.537797	+	0.843074i	$0.680743\pi$
$182$	−14.9842	+	4.01502i	−1.11071	+	0.297613i
$183$	3.78186	+	3.55797i	0.279563	+	0.263013i
$184$	5.79682	+	6.90838i	0.427347	+	0.509293i
$185$	−3.88325	−	0.412654i	−0.285502	−	0.0303389i
$186$	5.64257	+	6.32258i	0.413733	+	0.463594i
$187$	1.90255	−	0.166451i	0.139128	−	0.0121721i
$188$	−5.28378	−	7.54602i	−0.385359	−	0.550350i
$189$	1.75301	+	19.1086i	0.127512	+	1.38994i
$190$	−1.47239	−	9.63494i	−0.106818	−	0.698992i
$191$		−	21.8472i		−	1.58081i	−0.612585	−	0.790405i	$-0.709870\pi$
$191$		−	21.8472i		−	1.58081i	0.612585	−	0.790405i	$-0.290130\pi$
$192$	1.72005	−	0.203497i	0.124134	−	0.0146861i
$193$	1.07578	+	12.2962i	0.0774363	+	0.885101i	0.931216	+	0.364467i	$0.118749\pi$
$193$	1.07578	+	12.2962i	0.0774363	+	0.885101i	−0.853780	+	0.520634i	$0.825696\pi$
$194$	−8.29881	−	3.02052i	−0.595820	−	0.216861i
$195$	3.01550	+	15.9875i	0.215944	+	1.14489i
$196$	5.08454	−	4.26644i	0.363182	−	0.304746i
$197$	−0.191342	+	0.714097i	−0.0136325	+	0.0508773i	−0.972407	−	0.233291i	$-0.925051\pi$
$197$	−0.191342	+	0.714097i	−0.0136325	+	0.0508773i	0.958775	+	0.284168i	$0.0917173\pi$
$198$	−0.764848	−	0.676813i	−0.0543554	−	0.0480990i
$199$	−4.29717	+	0.757707i	−0.304618	+	0.0537124i	−0.323868	−	0.946102i	$-0.604983\pi$
$199$	−4.29717	+	0.757707i	−0.304618	+	0.0537124i	0.0192497	+	0.999815i	$0.493872\pi$
$200$	4.99374	−	0.250216i	0.353110	−	0.0176930i
$201$	4.03163	+	6.51576i	0.284369	+	0.459586i
$202$	−12.2539	−	3.28343i	−0.862184	−	0.231022i
$203$	−1.08193	+	12.3665i	−0.0759365	+	0.867959i
$204$	1.39474	−	9.61602i	0.0976511	−	0.673256i
$205$	−6.70928	−	0.124815i	−0.468597	−	0.00871744i
$206$	3.61630	−	4.30974i	0.251960	−	0.300274i
$207$	−25.1712	−	9.91806i	−1.74952	−	0.689353i
$208$	−2.97037	−	2.97037i	−0.205958	−	0.205958i
$209$	0.135669	−	1.47771i	0.00938445	−	0.102215i
$210$	−8.34232	−	11.6175i	−0.575675	−	0.801685i
$211$	−4.95569	+	28.1051i	−0.341164	+	1.93483i	0.0136742	+	0.999907i	$0.495647\pi$
$211$	−4.95569	+	28.1051i	−0.341164	+	1.93483i	−0.354838	+	0.934928i	$0.615464\pi$
$212$	0.621243	+	7.10085i	0.0426672	+	0.487688i
$213$	−0.664899	+	11.6991i	−0.0455581	+	0.801612i
$214$	−0.328197	−	0.901714i	−0.0224351	−	0.0616399i
$215$	3.69525	+	14.8937i	0.252014	+	1.01574i
$216$	−4.24383	+	2.99831i	−0.288756	+	0.204009i
$217$	4.67633	+	17.4523i	0.317450	+	1.18474i
$218$	4.36177	+	3.05415i	0.295417	+	0.206853i
$219$	1.48117	−	4.49105i	0.100088	−	0.303477i
$220$	0.747084	+	0.146109i	0.0503684	+	0.00985064i
$221$	−20.4085	+	11.7829i	−1.37283	+	0.792601i
$222$	−1.65865	+	2.52959i	−0.111321	+	0.169775i
$223$	7.54367	+	3.51767i	0.505161	+	0.235561i	0.658455	−	0.752620i	$-0.271210\pi$
$223$	7.54367	+	3.51767i	0.505161	+	0.235561i	−0.153294	+	0.988181i	$0.548988\pi$
$224$	3.47018	+	1.26304i	0.231861	+	0.0843905i
$225$	−12.8083	+	7.80684i	−0.853888	+	0.520456i
$226$	−0.0824210	+	0.467433i	−0.00548256	+	0.0310932i
$227$	−1.13786	−	1.13786i	−0.0755226	−	0.0755226i	0.668337	−	0.743859i	$-0.267007\pi$
$227$	−1.13786	−	1.13786i	−0.0755226	−	0.0755226i	−0.743859	+	0.668337i	$0.767007\pi$
$228$	−7.15975	−	2.39540i	−0.474166	−	0.158639i
$229$		−	11.2058i		−	0.740502i	−0.928932	−	0.370251i	$-0.879272\pi$
$229$		−	11.2058i		−	0.740502i	0.928932	−	0.370251i	$-0.120728\pi$
$230$	19.9208	−	3.13170i	1.31354	−	0.206498i
$231$	−0.806796	−	2.02254i	−0.0530833	−	0.133073i
$232$	−3.04658	+	1.42064i	−0.200018	+	0.0932699i
$233$	1.43200	−	3.07094i	0.0938136	−	0.201184i	−0.853801	−	0.520599i	$-0.825709\pi$
$233$	1.43200	−	3.07094i	0.0938136	−	0.201184i	0.947615	+	0.319415i	$0.103486\pi$
$234$	12.0829	+	3.58040i	0.789883	+	0.234058i
$235$	−20.5501	+	1.41330i	−1.34054	+	0.0921935i
$236$	4.97846	+	2.87432i	0.324070	+	0.187102i
$237$	26.1170	−	13.1624i	1.69648	−	0.854992i
$238$	11.8826	−	16.9702i	0.770237	−	1.10001i
$239$	8.25386	−	14.2961i	0.533898	−	0.924739i	−0.465318	−	0.885144i	$-0.654060\pi$
$239$	8.25386	−	14.2961i	0.533898	−	0.924739i	0.999216	−	0.0395948i	$-0.0126067\pi$
$240$	1.59493	−	3.52933i	0.102952	−	0.227817i
$241$	11.4025	−	9.56782i	0.734498	−	0.616317i	−0.196856	−	0.980433i	$-0.563073\pi$
$241$	11.4025	−	9.56782i	0.734498	−	0.616317i	0.931354	+	0.364115i	$0.118629\pi$
$242$	−9.86435	−	4.59982i	−0.634104	−	0.295688i
$243$	6.89801	−	13.9792i	0.442508	−	0.896765i
$244$	−1.92699	+	2.29650i	−0.123363	+	0.147018i
$245$	−2.30492	−	14.6616i	−0.147256	−	0.936696i
$246$	−2.46049	+	4.57865i	−0.156875	+	0.291924i
$247$	6.18876	+	17.2330i	0.393781	+	1.09651i
$248$	−3.45962	+	3.45962i	−0.219686	+	0.219686i
$249$	1.35741	+	1.07020i	0.0860223	+	0.0678214i
$250$	5.28281	−	9.85352i	0.334115	−	0.623191i
$251$	−9.97043	+	27.3935i	−0.629328	+	1.72906i	0.0535845	+	0.998563i	$0.482935\pi$
$251$	−9.97043	+	27.3935i	−0.629328	+	1.72906i	−0.682912	+	0.730500i	$0.739287\pi$
$252$	−10.9571	+	1.63646i	−0.690234	+	0.103087i
$253$	3.05845	+	0.267580i	0.192283	+	0.0168226i
$254$	−8.94404	−	15.4915i	−0.561199	−	0.972025i
$255$	−16.8088	−	13.7670i	−1.05261	−	0.862121i
$256$	0.173648	+	0.984808i	0.0108530	+	0.0615505i
$257$	7.83612	−	11.1911i	0.488804	−	0.698084i	−0.496665	−	0.867943i	$-0.665442\pi$
$257$	7.83612	−	11.1911i	0.488804	−	0.698084i	0.985468	+	0.169858i	$0.0543310\pi$
$258$	11.5698	+	2.72492i	0.720304	+	0.169646i
$259$	−5.58529	+	3.22467i	−0.347053	+	0.200371i
$260$	−9.11672	+	2.26194i	−0.565395	+	0.140280i
$261$	5.99934	−	8.10598i	0.371350	−	0.501748i
$262$	14.4464	−	6.73645i	0.892499	−	0.416179i
$263$	23.2166	−	2.03119i	1.43160	−	0.125249i	0.655183	−	0.755470i	$-0.272592\pi$
$263$	23.2166	−	2.03119i	1.43160	−	0.125249i	0.776415	+	0.630222i	$0.217036\pi$
$264$	0.365073	−	0.463046i	0.0224687	−	0.0284985i
$265$	14.3175	+	7.00347i	0.879518	+	0.430220i
$266$	−11.3333	−	11.4309i	−0.694891	−	0.700875i
$267$	−17.1179	+	5.15100i	−1.04760	+	0.315236i
$268$	−3.62374	+	2.53737i	−0.221355	+	0.154994i
$269$	7.98246	+	6.69808i	0.486699	+	0.408389i	0.852842	−	0.522170i	$-0.174877\pi$
$269$	7.98246	+	6.69808i	0.486699	+	0.408389i	−0.366142	+	0.930559i	$0.619322\pi$
$270$	0.846064	+	11.5881i	0.0514898	+	0.705230i
$271$	−9.06553	+	3.29958i	−0.550692	+	0.200435i	−0.602354	−	0.798229i	$-0.705770\pi$
$271$	−9.06553	+	3.29958i	−0.550692	+	0.200435i	0.0516621	+	0.998665i	$0.483548\pi$
$272$	5.58856	+	0.488936i	0.338856	+	0.0296461i
$273$	19.5697	+	18.4111i	1.18441	+	1.11429i
$274$	11.7195	+	6.76627i	0.708002	+	0.408765i
$275$	1.14188	−	1.26235i	0.0688580	−	0.0761224i
$276$	4.89237	−	14.8341i	0.294486	−	0.892910i
$277$	−2.45442	−	9.16004i	−0.147472	−	0.550373i	−0.999633	−	0.0270933i	$-0.991375\pi$
$277$	−2.45442	−	9.16004i	−0.147472	−	0.550373i	0.852161	−	0.523280i	$-0.175292\pi$
$278$	−14.3308	−	3.83992i	−0.859503	−	0.230303i
$279$	4.17013	−	14.0731i	0.249659	−	0.842532i
$280$	6.42328	−	5.18927i	0.383864	−	0.310118i
$281$	8.43656	−	23.1793i	0.503283	−	1.38276i	−0.384768	−	0.923014i	$-0.625718\pi$
$281$	8.43656	−	23.1793i	0.503283	−	1.38276i	0.888051	−	0.459746i	$-0.152059\pi$
$282$	−6.29910	+	14.6596i	−0.375106	+	0.872965i
$283$	23.0305	−	16.1261i	1.36902	−	0.958599i	0.369452	−	0.929250i	$-0.379545\pi$
$283$	23.0305	−	16.1261i	1.36902	−	0.958599i	0.999569	−	0.0293494i	$-0.00934353\pi$
$284$	−6.76540			−0.401453
$285$	−12.8494	+	10.9496i	−0.761133	+	0.648595i
$286$	−1.43008			−0.0845624
$287$	−9.07813	+	6.35658i	−0.535865	+	0.375217i
$288$	−1.86731	−	2.34801i	−0.110033	−	0.138358i
$289$	4.94939	−	13.5983i	0.291141	−	0.799903i
$290$	−0.794280	+	7.47453i	−0.0466417	+	0.438919i
$291$	3.11426	+	14.9761i	0.182561	+	0.877913i
$292$	2.63726	+	0.706650i	0.154334	+	0.0413536i
$293$	3.60152	+	13.4410i	0.210403	+	0.785234i	0.987734	+	0.156143i	$0.0499061\pi$
$293$	3.60152	+	13.4410i	0.210403	+	0.785234i	−0.777332	+	0.629091i	$0.783427\pi$
$294$	−10.9179	−	3.60076i	−0.636743	−	0.210001i
$295$	11.2498	−	6.21900i	0.654989	−	0.362084i
$296$	−1.51245	−	0.873211i	−0.0879091	−	0.0507543i
$297$	−0.299827	+	1.74336i	−0.0173977	+	0.101160i
$298$	−4.62624	−	0.404743i	−0.267991	−	0.0234461i
$299$	−35.5986	+	12.9568i	−2.05872	+	0.749314i
$300$	−4.91962	−	7.12723i	−0.284034	−	0.411491i
$301$	19.4137	+	16.2900i	1.11899	+	0.938941i
$302$	−2.41823	+	1.69326i	−0.139153	+	0.0974363i
$303$	6.33156	+	21.0412i	0.363738	+	1.20878i
$304$	1.14621	−	4.20550i	0.0657395	−	0.241202i
$305$	2.17515	+	6.34073i	0.124549	+	0.363069i
$306$	−15.4345	+	6.70933i	−0.882333	+	0.383547i
$307$	7.14532	−	0.625135i	0.407805	−	0.0356783i	0.118592	−	0.992943i	$-0.462162\pi$
$307$	7.14532	−	0.625135i	0.407805	−	0.0356783i	0.289213	+	0.957265i	$0.406606\pi$
$308$	1.13940	−	0.531311i	0.0649234	−	0.0302743i
$309$	−9.64354	−	1.39873i	−0.548602	−	0.0795709i
$310$	2.63450	+	10.6183i	0.149630	+	0.603080i
$311$	−12.7345	+	7.35228i	−0.722108	+	0.416910i	−0.815528	−	0.578717i	$-0.803553\pi$
$311$	−12.7345	+	7.35228i	−0.722108	+	0.416910i	0.0934198	+	0.995627i	$0.470220\pi$
$312$	−1.66798	+	7.08212i	−0.0944309	+	0.400946i
$313$	7.21166	−	10.2993i	0.407627	−	0.582152i	−0.561879	−	0.827220i	$-0.689921\pi$
$313$	7.21166	−	10.2993i	0.407627	−	0.582152i	0.969506	+	0.245068i	$0.0788102\pi$
$314$	0.416511	+	2.36215i	0.0235051	+	0.133304i
$315$	−9.50857	+	22.8751i	−0.535747	+	1.28887i
$316$	8.44268	+	14.6231i	0.474938	+	0.822616i
$317$	16.4420	+	1.43849i	0.923473	+	0.0807934i	0.538965	−	0.842328i	$-0.318816\pi$
$317$	16.4420	+	1.43849i	0.923473	+	0.0807934i	0.384508	+	0.923122i	$0.374371\pi$
$318$	9.89264	−	7.38644i	0.554752	−	0.414211i
$319$	−0.391403	+	1.07537i	−0.0219143	+	0.0602092i
$320$	2.08663	+	0.803731i	0.116646	+	0.0449299i
$321$	−1.02903	+	1.30518i	−0.0574347	+	0.0728483i
$322$	23.5490	−	23.5490i	1.31234	−	1.31234i
$323$	−21.1243	−	12.3172i	−1.17539	−	0.685347i
$324$	8.28386	+	3.51820i	0.460214	+	0.195455i
$325$	−6.18698	+	20.0718i	−0.343192	+	1.11338i
$326$	−15.7926	+	18.8209i	−0.874673	+	1.04239i
$327$	0.523312	−	9.20786i	0.0289392	−	0.509196i
$328$	−2.71983	−	1.26828i	−0.150178	−	0.0700289i
$329$	−26.0599	+	21.8669i	−1.43673	+	1.20556i
$330$	−0.465658	−	1.23354i	−0.0256336	−	0.0679039i
$331$	13.3897	−	23.1917i	0.735966	−	1.27473i	−0.218333	−	0.975874i	$-0.570062\pi$
$331$	13.3897	−	23.1917i	0.735966	−	1.27473i	0.954298	−	0.298856i	$-0.0966049\pi$
$332$	−0.572418	+	0.817498i	−0.0314155	+	0.0448660i
$333$	5.23746	+	0.137660i	0.287011	+	0.00754370i
$334$	−7.52703	−	4.34573i	−0.411861	−	0.237788i
$335$	0.678693	+	9.86853i	0.0370810	+	0.539176i
$336$	−1.30224	−	6.26230i	−0.0710430	−	0.341636i
$337$	−2.04419	+	4.38378i	−0.111354	+	0.238800i	−0.954085	−	0.299535i	$-0.903169\pi$
$337$	−2.04419	+	4.38378i	−0.111354	+	0.238800i	0.842731	+	0.538335i	$0.180946\pi$
$338$	4.21087	−	1.96356i	0.229041	−	0.106804i
$339$	0.763596	−	0.304601i	0.0414728	−	0.0165436i
$340$	7.38490	−	10.1399i	0.400502	−	0.549916i
$341$			1.66563i			0.0901988i
$342$	2.99691	+	12.7287i	0.162054	+	0.688287i
$343$	0.946843	+	0.946843i	0.0511247	+	0.0511247i
$344$	−1.19168	+	6.75833i	−0.0642509	+	0.364385i
$345$	−22.7676	−	26.4871i	−1.22577	−	1.42602i
$346$	−11.7686	−	4.28341i	−0.632682	−	0.230277i
$347$	−7.63678	−	3.56109i	−0.409964	−	0.191169i	0.206685	−	0.978408i	$-0.433732\pi$
$347$	−7.63678	−	3.56109i	−0.409964	−	0.191169i	−0.616649	+	0.787238i	$0.711510\pi$
$348$	4.86899	+	3.19259i	0.261005	+	0.171141i
$349$	24.5339	−	14.1646i	1.31327	−	0.758215i	0.330631	−	0.943760i	$-0.392738\pi$
$349$	24.5339	−	14.1646i	1.31327	−	0.758215i	0.982636	+	0.185545i	$0.0594050\pi$
$350$	−2.52777	−	18.2906i	−0.135115	−	0.977673i
$351$	−5.73827	−	21.0599i	−0.306286	−	1.12409i
$352$	0.278869	+	0.195266i	0.0148637	+	0.0104077i
$353$	2.41598	+	9.01657i	0.128590	+	0.479903i	0.999942	−	0.0107543i	$-0.00342325\pi$
$353$	2.41598	+	9.01657i	0.128590	+	0.479903i	−0.871352	+	0.490658i	$0.836757\pi$
$354$	−0.303584	−	9.95230i	−0.0161353	−	0.528959i
$355$	−7.80632	+	12.9582i	−0.414316	+	0.687749i
$356$	−3.52992	−	9.69837i	−0.187085	−	0.514012i
$357$	−35.8246	−	2.03603i	−1.89604	−	0.107758i
$358$	1.74276	+	19.9198i	0.0921075	+	1.05279i
$359$	0.317352	−	1.79979i	0.0167492	−	0.0949894i	−0.975287	−	0.220941i	$-0.929087\pi$
$359$	0.317352	−	1.79979i	0.0167492	−	0.0949894i	0.992036	+	0.125951i	$0.0401983\pi$
$360$	−6.65190	+	0.867312i	−0.350586	+	0.0457113i
$361$	−12.3373	+	14.4496i	−0.649333	+	0.760505i
$362$	14.0201	+	14.0201i	0.736878	+	0.736878i
$363$	2.21488	+	18.7213i	0.116251	+	0.982611i
$364$	−9.97146	+	11.8835i	−0.522646	+	0.622866i
$365$	4.39651	−	4.23592i	0.230124	−	0.221718i
$366$	5.13869	+	0.745331i	0.268604	+	0.0389591i
$367$	1.06923	−	12.2213i	0.0558132	−	0.637948i	−0.915841	−	0.401541i	$-0.868475\pi$
$367$	1.06923	−	12.2213i	0.0558132	−	0.637948i	0.971654	−	0.236407i	$-0.0759698\pi$
$368$	8.71096	+	2.33410i	0.454090	+	0.121673i
$369$	8.98626	−	0.548742i	0.467806	−	0.0285664i
$370$	−3.41766	+	1.88932i	−0.177676	+	0.0982209i
$371$	25.9229	−	4.57090i	1.34585	−	0.237309i
$372$	8.24861	+	1.94271i	0.427670	+	0.100725i
$373$	−6.84273	+	25.5374i	−0.354303	+	1.32228i	0.527056	+	0.849830i	$0.323296\pi$
$373$	−6.84273	+	25.5374i	−0.354303	+	1.32228i	−0.881359	+	0.472447i	$0.843371\pi$
$374$	1.46300	−	1.22760i	0.0756500	−	0.0634779i
$375$	−19.3278	+	1.19903i	−0.998081	+	0.0619178i
$376$	−8.65644	−	3.15068i	−0.446422	−	0.162484i
$377$	−1.23072	−	14.0672i	−0.0633852	−	0.724496i
$378$	12.3962	+	14.6473i	0.637591	+	0.753377i
$379$		−	3.38122i		−	0.173682i	−0.996222	−	0.0868408i	$-0.972323\pi$
$379$		−	3.38122i		−	0.173682i	0.996222	−	0.0868408i	$-0.0276772\pi$
$380$	−6.73248	−	7.04795i	−0.345369	−	0.361552i
$381$	−14.6662	+	27.2920i	−0.751373	+	1.39821i
$382$	−12.5311	−	17.8962i	−0.641144	−	0.915649i
$383$	−30.9545	+	2.70817i	−1.58170	+	0.138381i	−0.843848	−	0.536582i	$-0.819715\pi$
$383$	−30.9545	+	2.70817i	−1.58170	+	0.138381i	−0.737852	+	0.674963i	$0.764160\pi$
$384$	1.29227	−	1.15328i	0.0659457	−	0.0588530i
$385$	0.297055	−	2.79542i	0.0151393	−	0.142468i
$386$	7.93404	+	9.45542i	0.403832	+	0.481268i
$387$	−6.53069	−	19.5245i	−0.331974	−	0.992487i
$388$	−8.53049	+	2.28574i	−0.433070	+	0.116041i
$389$	4.26737	+	24.2014i	0.216364	+	1.22706i	0.878524	+	0.477699i	$0.158529\pi$
$389$	4.26737	+	24.2014i	0.216364	+	1.22706i	−0.662159	+	0.749363i	$0.730360\pi$
$390$	11.6402	+	11.3666i	0.589424	+	0.575568i
$391$	25.2958	−	43.8136i	1.27926	−	2.21575i
$392$	1.71789	−	6.41124i	0.0867663	−	0.323816i
$393$	−23.0879	−	15.1387i	−1.16463	−	0.763646i
$394$	0.252851	+	0.694703i	0.0127385	+	0.0349986i
$395$	37.7503	+	0.702280i	1.89942	+	0.0353355i
$396$	−1.01473	−	0.115714i	−0.0509921	−	0.00581487i
$397$	−6.48617	−	9.26321i	−0.325532	−	0.464907i	0.622712	−	0.782451i	$-0.286031\pi$
$397$	−6.48617	−	9.26321i	−0.325532	−	0.464907i	−0.948244	+	0.317544i	$0.897142\pi$
$398$	−3.08543	+	3.08543i	−0.154659	+	0.154659i
$399$	−6.50788	+	27.1105i	−0.325801	+	1.35722i
$400$	3.94711	−	3.06925i	0.197356	−	0.153463i
$401$	−22.8263	−	4.02490i	−1.13989	−	0.200994i	−0.428334	−	0.903621i	$-0.640899\pi$
$401$	−22.8263	−	4.02490i	−1.13989	−	0.200994i	−0.711559	+	0.702627i	$0.752010\pi$
$402$	7.03981	+	3.02495i	0.351114	+	0.150871i
$403$	−8.68593	−	18.6270i	−0.432677	−	0.927879i
$404$	−11.9211	+	4.33894i	−0.593099	+	0.215870i
$405$	16.2970	−	11.8071i	0.809806	−	0.586698i
$406$	6.20687	+	10.7506i	0.308042	+	0.533544i
$407$	−0.574286	+	0.153879i	−0.0284663	+	0.00762752i
$408$	−4.37302	−	8.67697i	−0.216497	−	0.429574i
$409$	−35.2653	+	6.21823i	−1.74376	+	0.307471i	−0.952619	−	0.304166i	$-0.901622\pi$
$409$	−35.2653	+	6.21823i	−1.74376	+	0.307471i	−0.791138	+	0.611637i	$0.790511\pi$
$410$	−5.56751	+	3.74604i	−0.274960	+	0.185004i
$411$	−0.714649	−	23.4281i	−0.0352510	−	1.15562i
$412$	0.490335	−	5.60455i	0.0241571	−	0.276117i
$413$	8.97178	−	19.2401i	0.441473	−	0.946741i
$414$	−26.3078	+	6.31324i	−1.29296	+	0.310279i
$415$	0.905313	+	2.03967i	0.0444401	+	0.100123i
$416$	−4.13692	−	0.729450i	−0.202829	−	0.0357642i
$417$	7.40465	+	24.6073i	0.362607	+	1.20503i
$418$	−0.736446	−	1.28829i	−0.0360207	−	0.0630121i
$419$	22.3532			1.09203			0.546014	−	0.837776i	$-0.316145\pi$
$419$	22.3532			1.09203			0.546014	+	0.837776i	$0.316145\pi$
$420$	−13.4972	−	4.73155i	−0.658594	−	0.230876i
$421$	2.14614	+	1.80083i	0.104597	+	0.0877669i	0.693586	−	0.720374i	$-0.256030\pi$
$421$	2.14614	+	1.80083i	0.104597	+	0.0877669i	−0.588990	+	0.808141i	$0.700474\pi$
$422$	12.0610	+	25.8648i	0.587118	+	1.25908i
$423$	27.3328	−	4.08218i	1.32897	−	0.198483i
$424$	4.58177	+	5.46034i	0.222510	+	0.265178i
$425$	−10.9005	−	25.8448i	−0.528753	−	1.25366i
$426$	6.16570	+	9.96474i	0.298729	+	0.482793i
$427$	9.06866	+	6.34994i	0.438863	+	0.307295i
$428$	−0.786045	−	0.550395i	−0.0379949	−	0.0266043i
$429$	1.30331	+	2.10636i	0.0629246	+	0.101696i
$430$	11.5696	+	10.0807i	0.557937	+	0.486132i
$431$	11.0126	+	13.1243i	0.530457	+	0.632174i	0.963020	−	0.269430i	$-0.0868351\pi$
$431$	11.0126	+	13.1243i	0.530457	+	0.632174i	−0.432563	+	0.901604i	$0.642391\pi$
$432$	−1.75658	+	4.89024i	−0.0845137	+	0.235282i
$433$	0.821778	+	1.76231i	0.0394921	+	0.0846911i	0.925064	−	0.379811i	$-0.124011\pi$
$433$	0.821778	+	1.76231i	0.0394921	+	0.0846911i	−0.885572	+	0.464502i	$0.846233\pi$
$434$	13.8408	+	11.6138i	0.664382	+	0.557483i
$435$	11.7331	−	5.64207i	0.562558	−	0.270517i
$436$	5.32474			0.255009
$437$	−30.0043	−	25.3966i	−1.43530	−	1.21489i
$438$	−1.36266	−	4.52842i	−0.0651103	−	0.216376i
$439$	6.70671	+	1.18257i	0.320094	+	0.0564411i	0.331386	−	0.943495i	$-0.392484\pi$
$439$	6.70671	+	1.18257i	0.320094	+	0.0564411i	−0.0112929	+	0.999936i	$0.503595\pi$
$440$	0.695780	−	0.308825i	0.0331700	−	0.0147226i
$441$	4.64652	+	19.3625i	0.221263	+	0.922023i
$442$	−9.95931	+	21.3578i	−0.473716	+	1.01589i
$443$	0.0902980	−	1.03211i	0.00429019	−	0.0490370i	−0.993748	−	0.111648i	$-0.964387\pi$
$443$	0.0902980	−	1.03211i	0.00429019	−	0.0490370i	0.998038	+	0.0626108i	$0.0199427\pi$
$444$	0.0922280	+	3.02348i	0.00437695	+	0.143488i
$445$	−22.6489	−	4.42949i	−1.07366	−	0.209978i
$446$	8.19706	−	1.44536i	0.388142	−	0.0684399i
$447$	3.62001	+	7.18284i	0.171221	+	0.339737i
$448$	3.56705	−	0.955789i	0.168527	−	0.0451568i
$449$	−8.18537	−	14.1775i	−0.386292	−	0.669077i	0.605656	−	0.795727i	$-0.292911\pi$
$449$	−8.18537	−	14.1775i	−0.386292	−	0.669077i	−0.991947	+	0.126650i	$0.959577\pi$
$450$	−6.01414	+	13.7415i	−0.283509	+	0.647783i
$451$	−0.960035	+	0.349424i	−0.0452063	+	0.0164537i
$452$	0.200593	+	0.430173i	0.00943510	+	0.0202336i
$453$	4.69787	+	2.01864i	0.220725	+	0.0948439i
$454$	−1.58473	−	0.279431i	−0.0743752	−	0.0131144i
$455$	11.2556	+	32.8109i	0.527669	+	1.53820i
$456$	−7.23887	+	2.14446i	−0.338991	+	0.100424i
$457$	−19.5562	+	19.5562i	−0.914801	+	0.914801i	−0.996645	−	0.0818443i	$-0.973919\pi$
$457$	−19.5562	+	19.5562i	−0.914801	+	0.914801i	0.0818443	+	0.996645i	$0.473919\pi$
$458$	−6.42740	−	9.17927i	−0.300332	−	0.428919i
$459$	23.9485	+	16.6189i	1.11782	+	0.775703i
$460$	14.5219	−	13.9914i	0.677085	−	0.652353i
$461$	−9.63162	−	26.4626i	−0.448589	−	1.23249i	−0.933707	−	0.358039i	$-0.883445\pi$
$461$	−9.63162	−	26.4626i	−0.448589	−	1.23249i	0.485117	−	0.874449i	$-0.338777\pi$
$462$	−1.82097	−	1.19401i	−0.0847192	−	0.0555502i
$463$	0.589273	−	2.19920i	0.0273859	−	0.102205i	−0.950880	−	0.309559i	$-0.899818\pi$
$463$	0.589273	−	2.19920i	0.0273859	−	0.102205i	0.978266	+	0.207354i	$0.0664852\pi$
$464$	−1.68077	+	2.91117i	−0.0780276	+	0.135148i
$465$	13.2387	−	13.5574i	0.613931	−	0.628711i
$466$	−0.588391	−	3.33693i	−0.0272567	−	0.154580i
$467$	4.98982	−	1.33702i	0.230901	−	0.0618698i	−0.141513	−	0.989936i	$-0.545197\pi$
$467$	4.98982	−	1.33702i	0.230901	−	0.0618698i	0.372414	+	0.928067i	$0.378530\pi$
$468$	11.9514	−	3.99757i	0.552452	−	0.184788i
$469$	10.5009	+	12.5145i	0.484885	+	0.577864i
$470$	−16.0230	+	12.9448i	−0.739086	+	0.597097i
$471$	3.09962	−	2.76624i	0.142823	−	0.127462i
$472$	5.72676	−	0.501027i	0.263595	−	0.0230616i
$473$	1.34003	+	1.91376i	0.0616146	+	0.0879948i
$474$	13.8441	−	25.7621i	0.635881	−	1.18329i
$475$	−21.2677	+	4.76279i	−0.975830	+	0.218532i
$476$		−	20.7167i		−	0.949550i
$477$	−19.8952	−	7.83917i	−0.910939	−	0.358931i
$478$	−1.43874	−	16.4449i	−0.0658066	−	0.752173i
$479$	4.80640	+	1.74939i	0.219610	+	0.0799315i	0.449482	−	0.893289i	$-0.351609\pi$
$479$	4.80640	+	1.74939i	0.219610	+	0.0799315i	−0.229872	+	0.973221i	$0.573831\pi$
$480$	−0.717850	−	3.80588i	−0.0327652	−	0.173714i
$481$	5.61990	−	4.71565i	0.256245	−	0.215015i
$482$	3.85249	−	14.3777i	0.175476	−	0.654886i
$483$	−56.1469	−	13.2237i	−2.55477	−	0.601701i
$484$	−10.7187	+	1.89000i	−0.487216	+	0.0859093i
$485$	−5.46497	+	18.9764i	−0.248152	+	0.861673i
$486$	−2.36761	−	15.4076i	−0.107397	−	0.698903i
$487$	35.0165	+	9.38264i	1.58675	+	0.425168i	0.941007	−	0.338387i	$-0.109881\pi$
$487$	35.0165	+	9.38264i	1.58675	+	0.425168i	0.645742	+	0.763555i	$0.276548\pi$
$488$	−0.261281	+	2.98646i	−0.0118277	+	0.135191i
$489$	42.1140	+	6.10834i	1.90446	+	0.276229i
$490$	−10.2976	−	10.6880i	−0.465200	−	0.482836i
$491$	0.209252	−	0.249377i	0.00944342	−	0.0112542i	−0.761302	−	0.648397i	$-0.775440\pi$
$491$	0.209252	−	0.249377i	0.00944342	−	0.0112542i	0.770745	+	0.637143i	$0.219884\pi$
$492$	0.610694	+	5.16189i	0.0275322	+	0.232716i
$493$	13.3345	+	13.3345i	0.600557	+	0.600557i
$494$	14.9540	+	10.5667i	0.672812	+	0.475420i
$495$	−1.39249	+	1.81006i	−0.0625878	+	0.0813561i
$496$	−0.849597	+	4.81831i	−0.0381480	+	0.216348i
$497$	2.17749	+	24.8888i	0.0976736	+	1.11641i
$498$	1.72577	+	0.0980808i	0.0773335	+	0.00439511i
$499$	−6.84179	−	18.7977i	−0.306281	−	0.841499i	−0.993374	−	0.114929i	$-0.963336\pi$
$499$	−6.84179	−	18.7977i	−0.306281	−	0.841499i	0.687093	−	0.726569i	$-0.258886\pi$
$500$	−1.32432	−	11.1016i	−0.0592254	−	0.496480i
$501$	0.458994	+	15.0471i	0.0205063	+	0.672253i
$502$	7.54498	+	28.1583i	0.336749	+	1.25676i
$503$	−0.359113	−	0.251453i	−0.0160120	−	0.0112118i	0.565543	−	0.824719i	$-0.308667\pi$
$503$	−0.359113	−	0.251453i	−0.0160120	−	0.0112118i	−0.581555	+	0.813507i	$0.697556\pi$
$504$	−8.03692	+	7.62526i	−0.357993	+	0.339656i
$505$	−5.44468	+	27.8398i	−0.242285	+	1.23886i
$506$	2.65882	−	1.53507i	0.118199	−	0.0682421i
$507$	−6.72973	−	4.41267i	−0.298878	−	0.195974i
$508$	−16.2121	−	7.55983i	−0.719296	−	0.335413i
$509$	0.353795	+	0.128771i	0.0156817	+	0.00570767i	0.349849	−	0.936806i	$-0.386233\pi$
$509$	0.353795	+	0.128771i	0.0156817	+	0.00570767i	−0.334167	+	0.942514i	$0.608455\pi$
$510$	−21.6654	−	1.63609i	−0.959360	−	0.0724473i
$511$	1.75083	−	9.92946i	0.0774522	−	0.439253i
$512$	0.707107	+	0.707107i	0.0312500	+	0.0312500i
$513$	16.0167	−	16.0145i	0.707157	−	0.707057i
$514$		−	13.6619i		−	0.602599i
$515$	−10.1690	−	7.40604i	−0.448098	−	0.326349i
$516$	11.0404	−	4.40404i	0.486025	−	0.193877i
$517$	−2.84226	+	1.32537i	−0.125003	+	0.0582896i
$518$	−2.72561	+	5.84508i	−0.119756	+	0.256818i
$519$	4.41635	+	21.2376i	0.193856	+	0.932228i
$520$	−6.17058	+	7.08201i	−0.270598	+	0.310567i
$521$	−25.6690	−	14.8200i	−1.12458	−	0.649277i	−0.182015	−	0.983296i	$-0.558262\pi$
$521$	−25.6690	−	14.8200i	−1.12458	−	0.649277i	−0.942567	+	0.334018i	$0.891595\pi$
$522$	0.264969	−	10.0811i	0.0115974	−	0.441238i
$523$	6.86361	−	9.80226i	0.300125	−	0.428623i	−0.640558	−	0.767910i	$-0.721297\pi$
$523$	6.86361	−	9.80226i	0.300125	−	0.428623i	0.940683	+	0.339287i	$0.110186\pi$
$524$	7.96990	−	13.8043i	0.348167	−	0.603042i
$525$	−24.6365	+	20.3924i	−1.07522	+	0.889997i
$526$	17.8529	−	14.9804i	0.778423	−	0.653175i
$527$	24.8756	+	11.5997i	1.08360	+	0.505291i
$528$	0.0334578	−	0.588702i	0.00145606	−	0.0256200i
$529$	37.4931	−	44.6825i	1.63013	−	1.94272i
$530$	15.7452	−	2.47528i	0.683930	−	0.107519i
$531$	−14.3820	+	9.51725i	−0.624128	+	0.413013i
$532$	−15.8402	−	2.86314i	−0.686761	−	0.124133i
$533$	8.91408	−	8.91408i	0.386112	−	0.386112i
$534$	−11.0677	+	14.0379i	−0.478946	+	0.607479i
$535$	−1.96119	+	0.870482i	−0.0847897	+	0.0376342i
$536$	−1.51302	+	4.15698i	−0.0653524	+	0.179554i
$537$	27.7516	−	20.7210i	1.19757	−	0.894175i
$538$	10.3807	+	0.908194i	0.447544	+	0.0391550i
$539$	−1.12980	−	1.95688i	−0.0486641	−	0.0842887i
$540$	7.33972	+	9.00714i	0.315851	+	0.387605i
$541$	−2.45885	−	13.9448i	−0.105714	−	0.599535i	−0.990933	−	0.134359i	$-0.957102\pi$
$541$	−2.45885	−	13.9448i	−0.105714	−	0.599535i	0.885219	−	0.465175i	$-0.154009\pi$
$542$	−5.53348	+	7.90263i	−0.237683	+	0.339447i
$543$	7.87284	−	33.4274i	0.337856	−	1.43451i
$544$	4.85832	−	2.80495i	0.208299	−	0.120261i
$545$	6.14400	−	10.1988i	0.263180	−	0.436869i
$546$	26.5908	+	3.85680i	1.13798	+	0.165056i
$547$	16.4815	−	7.68543i	0.704696	−	0.328605i	−0.0370243	−	0.999314i	$-0.511788\pi$
$547$	16.4815	−	7.68543i	0.704696	−	0.328605i	0.741720	+	0.670709i	$0.234010\pi$
$548$	13.4810	−	1.17944i	0.575881	−	0.0503831i
$549$	−3.58539	−	8.24803i	−0.153021	−	0.352017i
$550$	0.211321	−	1.68901i	0.00901078	−	0.0720196i
$551$	12.0386	−	8.35283i	0.512862	−	0.355843i
$552$	−4.50092	−	14.9576i	−0.191572	−	0.636636i
$553$	51.0788	−	35.7658i	2.17209	−	1.52091i
$554$	−7.26453	−	6.09566i	−0.308640	−	0.258980i
$555$	5.89748	+	3.31203i	0.250334	+	0.140588i
$556$	−13.9416	+	5.07432i	−0.591255	+	0.215199i
$557$	31.7581	+	2.77847i	1.34563	+	0.117728i	0.737091	−	0.675793i	$-0.236199\pi$
$557$	31.7581	+	2.77847i	1.34563	+	0.117728i	0.608543	+	0.793521i	$0.291754\pi$
$558$	−4.65601	−	13.9199i	−0.197105	−	0.589275i
$559$	−24.9657	−	14.4140i	−1.05594	−	0.609646i
$560$	2.28520	−	7.93504i	0.0965672	−	0.335317i
$561$	−3.14145	−	1.03607i	−0.132632	−	0.0437427i
$562$	−6.38425	−	23.8264i	−0.269303	−	1.00505i
$563$	−13.5243	−	3.62381i	−0.569979	−	0.152725i	−0.0376922	−	0.999289i	$-0.512001\pi$
$563$	−13.5243	−	3.62381i	−0.569979	−	0.152725i	−0.532287	+	0.846564i	$0.678667\pi$
$564$	3.24847	+	15.6214i	0.136785	+	0.657781i
$565$	1.05539	+	0.112151i	0.0444007	+	0.00471824i
$566$	9.61592	−	26.4195i	0.404187	−	1.11049i
$567$	10.2767	−	31.6073i	0.431579	−	1.32738i
$568$	−5.54189	+	3.88047i	−0.232533	+	0.162821i
$569$	−26.5717			−1.11394			−0.556972	−	0.830531i	$-0.688037\pi$
$569$	−26.5717			−1.11394			−0.556972	+	0.830531i	$0.688037\pi$
$570$	−4.24522	+	16.3395i	−0.177813	+	0.684385i
$571$	6.05017			0.253192			0.126596	−	0.991954i	$-0.459595\pi$
$571$	6.05017			0.253192			0.126596	+	0.991954i	$0.459595\pi$
$572$	−1.17145	+	0.820260i	−0.0489809	+	0.0342968i
$573$	−14.9390	+	34.7668i	−0.624086	+	1.45240i
$574$	−3.79039	+	10.4140i	−0.158208	+	0.434672i
$575$	−10.0424	−	43.9587i	−0.418798	−	1.83321i
$576$	−2.87638	−	0.852327i	−0.119849	−	0.0355136i
$577$	−31.3084	−	8.38906i	−1.30339	−	0.349241i	−0.460656	−	0.887579i	$-0.652386\pi$
$577$	−31.3084	−	8.38906i	−1.30339	−	0.349241i	−0.842729	+	0.538338i	$0.819052\pi$
$578$	−3.74539	−	13.9780i	−0.155788	−	0.581407i
$579$	6.69613	−	20.3033i	0.278281	−	0.843776i
$580$	3.63658	+	6.57835i	0.151001	+	0.273151i
$581$	3.19167	+	1.84271i	0.132413	+	0.0764486i
$582$	11.1410	+	10.4814i	0.461808	+	0.434468i
$583$	2.41738	+	0.211493i	0.100118	+	0.00875917i
$584$	2.56563	−	0.933813i	0.106167	−	0.0386415i
$585$	6.13340	−	27.5038i	0.253585	−	1.13714i
$586$	10.6597	+	8.94451i	0.440346	+	0.369494i
$587$	30.7080	−	21.5020i	1.26745	−	0.887481i	0.270293	−	0.962778i	$-0.412879\pi$
$587$	30.7080	−	21.5020i	1.26745	−	0.887481i	0.997161	+	0.0752973i	$0.0239906\pi$
$588$	−11.0087	+	3.31266i	−0.453991	+	0.136612i
$589$	12.3072	−	17.4170i	0.507108	−	0.717657i
$590$	5.64823	−	11.5469i	0.232534	−	0.475379i
$591$	0.792788	−	1.00555i	0.0326110	−	0.0413626i
$592$	−1.73978	+	0.152211i	−0.0715043	+	0.00625582i
$593$	2.90323	−	1.35380i	0.119221	−	0.0555939i	−0.362092	−	0.932142i	$-0.617938\pi$
$593$	2.90323	−	1.35380i	0.119221	−	0.0555939i	0.481314	+	0.876548i	$0.340160\pi$
$594$	0.754347	+	1.60005i	0.0309512	+	0.0656509i
$595$	−39.6800	−	23.9042i	−1.62672	−	0.979977i
$596$	−4.02174	+	2.32195i	−0.164737	+	0.0951109i
$597$	7.35646	+	1.73259i	0.301080	+	0.0709104i
$598$	−21.7290	+	31.0322i	−0.888563	+	1.26900i
$599$	−6.85874	−	38.8979i	−0.280241	−	1.58932i	−0.721807	−	0.692095i	$-0.756688\pi$
$599$	−6.85874	−	38.8979i	−0.280241	−	1.58932i	0.441566	−	0.897229i	$-0.354423\pi$
$600$	−8.11793	−	3.01650i	−0.331413	−	0.123148i
$601$	−9.62535	−	16.6716i	−0.392626	−	0.680049i	0.600169	−	0.799873i	$-0.295100\pi$
$601$	−9.62535	−	16.6716i	−0.392626	−	0.680049i	−0.992795	+	0.119825i	$0.961767\pi$
$602$	25.2463	+	2.20877i	1.02896	+	0.0900226i
$603$	−1.96034	−	13.1257i	−0.0798313	−	0.534521i
$604$	−1.00968	+	2.77408i	−0.0410834	+	0.112876i
$605$	−8.74789	+	22.7111i	−0.355652	+	0.923337i
$606$	17.2552	+	13.6043i	0.700946	+	0.552637i
$607$	−18.3043	+	18.3043i	−0.742947	+	0.742947i	−0.973144	−	0.230197i	$-0.926063\pi$
$607$	−18.3043	+	18.3043i	−0.742947	+	0.742947i	0.230197	+	0.973144i	$0.426063\pi$
$608$	−1.47326	−	4.10238i	−0.0597484	−	0.166373i
$609$	10.1779	−	18.9397i	0.412429	−	0.767477i
$610$	5.41867	+	3.94640i	0.219396	+	0.159785i
$611$	24.8740	−	29.6437i	1.00630	−	1.19926i
$612$	−8.79491	+	14.3488i	−0.355513	+	0.580017i
$613$	−29.7537	−	13.8744i	−1.20174	−	0.560382i	−0.284486	−	0.958680i	$-0.591823\pi$
$613$	−29.7537	−	13.8744i	−1.20174	−	0.560382i	−0.917256	+	0.398299i	$0.869601\pi$
$614$	5.49454	−	4.61047i	0.221742	−	0.186063i
$615$	10.5915	+	4.78639i	0.427092	+	0.193006i
$616$	0.628595	−	1.08876i	0.0253268	−	0.0438673i
$617$	−19.2125	+	27.4383i	−0.773465	+	1.10462i	0.218215	+	0.975901i	$0.429977\pi$
$617$	−19.2125	+	27.4383i	−0.773465	+	1.10462i	−0.991681	+	0.128722i	$0.958912\pi$
$618$	−8.70181	+	4.38554i	−0.350038	+	0.176412i
$619$	26.8288	+	15.4896i	1.07834	+	0.622580i	0.930448	−	0.366424i	$-0.119418\pi$
$619$	26.8288	+	15.4896i	1.07834	+	0.622580i	0.147892	+	0.989004i	$0.452751\pi$
$620$	8.24848	+	7.18693i	0.331267	+	0.288634i
$621$	33.2746	+	32.9952i	1.33526	+	1.32405i
$622$	−6.21442	+	13.3269i	−0.249175	+	0.534358i
$623$	−34.5425	+	16.1075i	−1.38392	+	0.645331i
$624$	2.69580	+	6.75804i	0.107919	+	0.270538i
$625$	−22.7917	−	10.2732i	−0.911668	−	0.410927i
$626$		−	12.5731i		−	0.502524i
$627$	−1.22635	+	2.25880i	−0.0489756	+	0.0902077i
$628$	1.69606	+	1.69606i	0.0676802	+	0.0676802i
$629$	−1.70128	+	9.64842i	−0.0678343	+	0.384708i
$630$	5.33165	+	24.1921i	0.212418	+	0.963835i
$631$	35.3856	+	12.8793i	1.40868	+	0.512717i	0.930742	−	0.365677i	$-0.119162\pi$
$631$	35.3856	+	12.8793i	1.40868	+	0.512717i	0.477937	+	0.878394i	$0.341385\pi$
$632$	15.3033	+	7.13606i	0.608734	+	0.283857i
$633$	27.1044	−	41.3366i	1.07730	−	1.64298i
$634$	14.2936	−	8.25239i	0.567669	−	0.327744i
$635$	−33.1863	+	22.3291i	−1.31696	+	0.886101i
$636$	3.86689	−	11.7248i	0.153332	−	0.464919i
$637$	22.8396	+	15.9924i	0.904937	+	0.633643i
$638$	0.296189	+	1.10539i	0.0117262	+	0.0437629i
$639$	9.05789	−	18.1629i	0.358325	−	0.718512i
$640$	2.17027	−	0.538463i	0.0857873	−	0.0212846i
$641$	−6.20561	−	17.0498i	−0.245107	−	0.673426i	−0.999849	−	0.0174035i	$-0.994460\pi$
$641$	−6.20561	−	17.0498i	−0.245107	−	0.673426i	0.754742	−	0.656022i	$-0.227762\pi$
$642$	−0.0943072	+	1.65937i	−0.00372201	+	0.0654901i
$643$	4.04805	+	46.2694i	0.159639	+	1.82469i	0.479862	+	0.877344i	$0.340687\pi$
$643$	4.04805	+	46.2694i	0.159639	+	1.82469i	−0.320223	+	0.947342i	$0.603758\pi$
$644$	5.78307	−	32.7974i	0.227885	−	1.29240i
$645$	4.30372	−	26.2279i	0.169459	−	1.03272i
$646$	−24.3689	+	2.02676i	−0.958781	+	0.0797418i
$647$	26.4427	+	26.4427i	1.03957	+	1.03957i	0.999184	+	0.0403862i	$0.0128588\pi$
$647$	26.4427	+	26.4427i	1.03957	+	1.03957i	0.0403862	+	0.999184i	$0.487141\pi$
$648$	8.80369	−	1.86948i	0.345842	−	0.0734403i
$649$	1.25796	−	1.49918i	0.0493793	−	0.0588480i
$650$	6.44462	+	19.9905i	0.252779	+	0.784093i
$651$	4.49206	−	30.9705i	0.176058	−	1.21383i
$652$	−2.14133	+	24.4755i	−0.0838608	+	0.958534i
$653$	38.3036	+	10.2634i	1.49894	+	0.401639i	0.912744	−	0.408532i	$-0.133959\pi$
$653$	38.3036	+	10.2634i	1.49894	+	0.401639i	0.586193	+	0.810171i	$0.300626\pi$
$654$	−4.85274	−	7.84280i	−0.189757	−	0.306678i
$655$	−17.2440	−	31.1934i	−0.673779	−	1.21883i
$656$	−2.95541	+	0.521118i	−0.115389	+	0.0203463i
$657$	−5.42803	+	6.13406i	−0.211768	+	0.239313i
$658$	−8.80471	+	32.8596i	−0.343244	+	1.28100i
$659$	−7.83596	+	6.57515i	−0.305246	+	0.256131i	−0.782524	−	0.622621i	$-0.786068\pi$
$659$	−7.83596	+	6.57515i	−0.305246	+	0.256131i	0.477278	+	0.878752i	$0.341623\pi$
$660$	−1.08897	−	0.743363i	−0.0423882	−	0.0289354i
$661$	−21.9995	−	8.00717i	−0.855682	−	0.311443i	−0.123327	−	0.992366i	$-0.539356\pi$
$661$	−21.9995	−	8.00717i	−0.855682	−	0.311443i	−0.732355	+	0.680923i	$0.761579\pi$
$662$	−2.33398	−	26.6775i	−0.0907128	−	1.03685i
$663$	40.5344	−	4.79555i	1.57422	−	0.186244i
$664$			0.997981i			0.0387292i
$665$	−23.7614	+	27.0361i	−0.921426	+	1.04842i
$666$	4.36923	−	2.89132i	0.169304	−	0.112036i
$667$	17.3880	+	24.8327i	0.673268	+	0.961526i
$668$	−8.65839	+	0.757511i	−0.335003	+	0.0293090i
$669$	−9.59933	−	10.7562i	−0.371131	−	0.415859i
$670$	6.21631	+	7.69455i	0.240157	+	0.297266i
$671$	0.656017	+	0.781811i	0.0253253	+	0.0301815i
$672$	−4.65864	−	4.38284i	−0.179711	−	0.169072i
$673$	15.7944	−	4.23210i	0.608830	−	0.163135i	0.0587852	−	0.998271i	$-0.481277\pi$
$673$	15.7944	−	4.23210i	0.608830	−	0.163135i	0.550045	+	0.835135i	$0.314611\pi$
$674$	0.839931	+	4.76348i	0.0323529	+	0.183483i
$675$	25.7209	−	3.66524i	0.989999	−	0.141075i
$676$	2.32309	−	4.02371i	0.0893495	−	0.154758i
$677$	6.02198	−	22.4743i	0.231443	−	0.863758i	−0.748277	−	0.663387i	$-0.769118\pi$
$677$	6.02198	−	22.4743i	0.231443	−	0.863758i	0.979720	−	0.200372i	$-0.0642149\pi$
$678$	0.450789	−	0.687495i	0.0173125	−	0.0264031i
$679$	11.1544	+	30.6466i	0.428068	+	1.17611i
$680$	0.233322	−	12.5420i	0.00894749	−	0.480962i
$681$	1.03268	+	2.58881i	0.0395725	+	0.0992035i
$682$	0.955365	+	1.36440i	0.0365828	+	0.0522457i
$683$	−11.3200	+	11.3200i	−0.433148	+	0.433148i	−0.889698	−	0.456550i	$-0.849085\pi$
$683$	−11.3200	+	11.3200i	−0.433148	+	0.433148i	0.456550	+	0.889698i	$0.349085\pi$
$684$	9.75578	+	8.70775i	0.373021	+	0.332949i
$685$	13.2962	−	27.1820i	0.508021	−	1.03857i
$686$	1.31870	+	0.232522i	0.0503480	+	0.00887772i
$687$	−7.66248	+	17.8325i	−0.292342	+	0.680352i
$688$	2.90026	+	6.21962i	0.110571	+	0.237121i
$689$	−28.1369	+	10.2410i	−1.07193	+	0.390151i
$690$	−33.8425	−	8.63803i	−1.28836	−	0.328844i
$691$	5.80549	+	10.0554i	0.220851	+	0.382526i	0.955067	−	0.296391i	$-0.0957831\pi$
$691$	5.80549	+	10.0554i	0.220851	+	0.382526i	−0.734215	+	0.678917i	$0.762450\pi$
$692$	−12.0971	+	3.24141i	−0.459863	+	0.123220i
$693$	−0.0990966	+	3.77027i	−0.00376437	+	0.143221i
$694$	−8.29825	+	1.46320i	−0.314997	+	0.0555425i
$695$	−6.36747	+	32.5582i	−0.241532	+	1.23500i
$696$	5.81963	−	0.177521i	0.220593	−	0.00672893i
$697$	−1.46730	+	16.7713i	−0.0555778	+	0.635257i
$698$	11.9725	−	25.6750i	0.453164	−	0.971814i
$699$	−4.37872	+	3.90777i	−0.165618	+	0.147806i
$700$	−12.5617	−	13.5329i	−0.474787	−	0.511496i
$701$	−39.4214	−	6.95105i	−1.48892	−	0.262537i	−0.630786	−	0.775957i	$-0.717267\pi$
$701$	−39.4214	−	6.95105i	−1.48892	−	0.262537i	−0.858138	+	0.513419i	$0.828379\pi$
$702$	−16.7800	−	13.9599i	−0.633319	−	0.526883i
$703$	7.14216	+	2.63426i	0.269372	+	0.0993532i
$704$	0.340436			0.0128307
$705$	33.6690	+	11.8030i	1.26805	+	0.444525i
$706$	7.15075	+	6.00019i	0.269122	+	0.225820i
$707$	19.7991	+	42.4594i	0.744623	+	1.59685i
$708$	−5.95708	−	7.97832i	−0.223881	−	0.299844i
$709$	−7.58824	−	9.04331i	−0.284982	−	0.339629i	0.604494	−	0.796610i	$-0.293375\pi$
$709$	−7.58824	−	9.04331i	−0.284982	−	0.339629i	−0.889477	+	0.456981i	$0.848931\pi$
$710$	1.03795	+	15.0922i	0.0389534	+	0.566402i
$711$	−50.5619	+	3.08754i	−1.89622	+	0.115792i
$712$	−8.45429	−	5.91976i	−0.316838	−	0.221852i
$713$	36.1435	+	25.3079i	1.35358	+	0.947789i
$714$	−30.5136	+	18.8804i	−1.14194	+	0.706580i
$715$	0.219402	+	3.19022i	0.00820519	+	0.119308i
$716$	12.8531	+	15.3177i	0.480343	+	0.572451i
$717$	−22.9105	+	17.1063i	−0.855607	+	0.638847i
$718$	−0.772359	−	1.65633i	−0.0288242	−	0.0618136i
$719$	−13.3769	−	11.2245i	−0.498874	−	0.418605i	0.358320	−	0.933599i	$-0.383350\pi$
$719$	−13.3769	−	11.2245i	−0.498874	−	0.418605i	−0.857194	+	0.514994i	$0.827794\pi$
$720$	−4.95145	+	4.52583i	−0.184530	+	0.168668i
$721$	−20.7760			−0.773740
$722$	−1.81820	+	18.9128i	−0.0676663	+	0.703862i
$723$	−24.6879	+	7.42889i	−0.918152	+	0.276283i
$724$	19.5261	+	3.44299i	0.725684	+	0.127958i
$725$	16.7960	+	0.625139i	0.623789	+	0.0232171i
$726$	12.5524	+	14.0652i	0.465863	+	0.522007i
$727$	−10.0734	+	21.6026i	−0.373604	+	0.801195i	0.626165	+	0.779690i	$0.284624\pi$
$727$	−10.0734	+	21.6026i	−0.373604	+	0.801195i	−0.999769	+	0.0215050i	$0.993154\pi$
$728$	−1.35203	+	15.4538i	−0.0501097	+	0.572756i
$729$	−20.5361	+	17.5291i	−0.760596	+	0.649225i
$730$	1.17179	−	5.99160i	0.0433698	−	0.221759i
$731$	37.9136	−	6.68519i	1.40229	−	0.247261i
$732$	4.63687	−	2.33689i	0.171384	−	0.0863740i
$733$	−9.65135	+	2.58607i	−0.356481	+	0.0955188i	−0.432615	−	0.901579i	$-0.642409\pi$
$733$	−9.65135	+	2.58607i	−0.356481	+	0.0955188i	0.0761340	+	0.997098i	$0.475742\pi$
$734$	−6.13401	−	10.6244i	−0.226410	−	0.392154i
$735$	−6.35756	+	24.9080i	−0.234502	+	0.918745i
$736$	8.47438	−	3.08442i	0.312370	−	0.113693i
$737$	0.636467	+	1.36491i	0.0234446	+	0.0502770i
$738$	7.04637	−	5.60381i	0.259381	−	0.206279i
$739$	−30.3922	−	5.35897i	−1.11800	−	0.197133i	−0.416036	−	0.909348i	$-0.636581\pi$
$739$	−30.3922	−	5.35897i	−1.11800	−	0.197133i	−0.701961	+	0.712215i	$0.747692\pi$
$740$	−1.71592	+	3.50793i	−0.0630784	+	0.128954i
$741$	1.93529	−	31.6558i	0.0710946	−	1.16290i
$742$	18.6130	−	18.6130i	0.683305	−	0.683305i
$743$	−1.51702	−	2.16652i	−0.0556539	−	0.0794820i	0.790360	−	0.612642i	$-0.209893\pi$
$743$	−1.51702	−	2.16652i	−0.0556539	−	0.0794820i	−0.846014	+	0.533160i	$0.821004\pi$
$744$	7.87116	−	3.13983i	0.288571	−	0.115112i
$745$	−0.193145	+	10.3823i	−0.00707629	+	0.380378i
$746$	9.04242	+	24.8439i	0.331067	+	0.909598i
$747$	−1.42833	−	2.63127i	−0.0522598	−	0.0962730i
$748$	0.494296	−	1.84474i	0.0180733	−	0.0674503i
$749$	−1.77182	+	3.06888i	−0.0647408	+	0.112134i
$750$	−15.1446	+	12.0681i	−0.553004	+	0.440666i
$751$	−7.00962	−	39.7536i	−0.255785	−	1.45063i	−0.794050	−	0.607852i	$-0.792031\pi$
$751$	−7.00962	−	39.7536i	−0.255785	−	1.45063i	0.538265	−	0.842775i	$-0.319080\pi$
$752$	−8.89810	+	2.38424i	−0.324480	+	0.0869442i
$753$	34.5981	−	36.7752i	1.26082	−	1.34016i
$754$	−9.07674	−	10.8172i	−0.330555	−	0.393940i
$755$	4.14833	+	5.13480i	0.150973	+	0.186875i
$756$	18.5557	+	4.88822i	0.674865	+	0.177783i
$757$	−21.3102	+	1.86440i	−0.774534	+	0.0677629i	−0.467567	−	0.883957i	$-0.654869\pi$
$757$	−21.3102	+	1.86440i	−0.774534	+	0.0677629i	−0.306966	+	0.951720i	$0.599314\pi$
$758$	−1.93939	−	2.76973i	−0.0704418	−	0.100601i
$759$	−4.68413	−	2.51717i	−0.170023	−	0.0913674i
$760$	−9.55747	−	1.91175i	−0.346686	−	0.0693465i
$761$			0.522080i			0.0189254i	0.999955	+	0.00946269i	$0.00301211\pi$
$761$			0.522080i			0.0189254i	−0.999955	+	0.00946269i	$0.996988\pi$
$762$	3.64016	+	30.7685i	0.131869	+	1.11462i
$763$	−1.71380	−	19.5888i	−0.0620438	−	0.709163i
$764$	−20.5297	−	7.47219i	−0.742737	−	0.270334i
$765$	17.3351	+	33.4020i	0.626753	+	1.20765i
$766$	−23.8031	+	19.9732i	−0.860041	+	0.721660i
$767$	−6.25009	+	23.3257i	−0.225678	+	0.842240i
$768$	0.397069	−	1.68592i	0.0143280	−	0.0608355i
$769$	−20.7375	+	3.65658i	−0.747813	+	0.131860i	−0.534552	−	0.845136i	$-0.679520\pi$
$769$	−20.7375	+	3.65658i	−0.747813	+	0.131860i	−0.213261	+	0.976995i	$0.568409\pi$
$770$	−1.36006	−	2.46026i	−0.0490130	−	0.0886616i
$771$	−20.1225	+	12.4508i	−0.724695	+	0.448406i
$772$	11.9226	+	3.19465i	0.429104	+	0.114978i
$773$	−1.84853	+	21.1287i	−0.0664869	+	0.759948i	0.887639	+	0.460541i	$0.152345\pi$
$773$	−1.84853	+	21.1287i	−0.0664869	+	0.759948i	−0.954125	+	0.299407i	$0.903211\pi$
$774$	−16.5484	−	12.2477i	−0.594821	−	0.440234i
$775$	23.2832	−	7.50611i	0.836356	−	0.269627i
$776$	−5.67672	+	6.76525i	−0.203782	+	0.242858i
$777$	11.0932	−	1.31242i	0.397967	−	0.0470827i
$778$	17.3770	+	17.3770i	0.622996	+	0.622996i
$779$	12.6207	+	3.43977i	0.452184	+	0.123243i
$780$	16.0547	+	2.63440i	0.574850	+	0.0943265i
$781$	−0.399944	+	2.26819i	−0.0143111	+	0.0811623i
$782$	−4.40934	−	50.3990i	−0.157678	−	1.80227i
$783$	−15.0899	+	8.79722i	−0.539270	+	0.314387i
$784$	−2.27012	−	6.23712i	−0.0810759	−	0.222754i
$785$	5.20559	−	1.29155i	0.185795	−	0.0460975i
$786$	−27.5957	+	0.841775i	−0.984306	+	0.0300251i
$787$	5.09595	+	19.0183i	0.181651	+	0.677930i	0.995323	+	0.0966058i	$0.0307986\pi$
$787$	5.09595	+	19.0183i	0.181651	+	0.677930i	−0.813672	+	0.581324i	$0.802535\pi$
$788$	0.605589	+	0.424038i	0.0215732	+	0.0151057i
$789$	−38.3349	−	12.6430i	−1.36476	−	0.450104i
$790$	31.3260	−	21.0774i	1.11453	−	0.749900i
$791$	1.51797	−	0.876402i	0.0539729	−	0.0311613i
$792$	−0.897590	+	0.487238i	−0.0318945	+	0.0173132i
$793$	−11.4134	−	5.32214i	−0.405300	−	0.188995i
$794$	−10.6263	−	3.86767i	−0.377114	−	0.137258i
$795$	−17.9954	−	20.9353i	−0.638230	−	0.742498i
$796$	−0.757707	+	4.29717i	−0.0268562	+	0.152309i
$797$	−4.02450	−	4.02450i	−0.142555	−	0.142555i	0.632228	−	0.774783i	$-0.282141\pi$
$797$	−4.02450	−	4.02450i	−0.142555	−	0.142555i	−0.774783	+	0.632228i	$0.782141\pi$
$798$	10.2190	+	25.9404i	0.361749	+	0.918280i
$799$			51.6784i			1.82825i
$800$	1.47283	−	4.77816i	0.0520725	−	0.168933i
$801$	30.7630	+	3.50804i	1.08696	+	0.123951i
$802$	−21.0068	+	9.79564i	−0.741777	+	0.345896i
$803$	0.392818	−	0.842402i	0.0138623	−	0.0297277i
$804$	7.50171	−	1.55998i	0.264565	−	0.0550161i
$805$	−56.1460	−	48.9203i	−1.97889	−	1.72421i
$806$	−17.7991	−	10.2763i	−0.626948	−	0.361968i
$807$	−8.12286	−	16.1174i	−0.285938	−	0.567360i
$808$	−7.27651	+	10.3919i	−0.255987	+	0.365587i
$809$	−2.34621	+	4.06375i	−0.0824882	+	0.142874i	−0.904318	−	0.426859i	$-0.859620\pi$
$809$	−2.34621	+	4.06375i	−0.0824882	+	0.142874i	0.821830	+	0.569733i	$0.192953\pi$
$810$	6.57749	−	19.0194i	0.231109	−	0.668273i
$811$	28.8006	−	24.1665i	1.01132	−	0.848602i	0.0228116	−	0.999740i	$-0.492738\pi$
$811$	28.8006	−	24.1665i	1.01132	−	0.848602i	0.988513	+	0.151138i	$0.0482938\pi$
$812$	11.2507	+	5.24628i	0.394821	+	0.184108i
$813$	16.6828	+	0.948133i	0.585090	+	0.0332525i
$814$	−0.382166	+	0.455447i	−0.0133949	+	0.0159634i
$815$	44.4086	+	32.3427i	1.55557	+	1.13291i
$816$	−8.55908	−	4.59950i	−0.299628	−	0.161015i
$817$	0.128250	−	29.9131i	0.00448691	−	1.04653i
$818$	−25.3210	+	25.3210i	−0.885329	+	0.885329i
$819$	−18.5530	−	42.6804i	−0.648295	−	1.49137i
$820$	−2.41200	+	6.26197i	−0.0842306	+	0.218678i
$821$	−4.75159	+	13.0549i	−0.165832	+	0.455619i	−0.994576	−	0.104008i	$-0.966833\pi$
$821$	−4.75159	+	13.0549i	−0.165832	+	0.455619i	0.828745	+	0.559627i	$0.189055\pi$
$822$	−14.0232	−	18.7813i	−0.489116	−	0.655073i
$823$	−1.59195	−	0.139278i	−0.0554920	−	0.00485492i	0.0593759	−	0.998236i	$-0.481089\pi$
$823$	−1.59195	−	0.139278i	−0.0554920	−	0.00485492i	−0.114868	+	0.993381i	$0.536644\pi$
$824$	−2.81298	−	4.87223i	−0.0979949	−	0.169732i
$825$	−2.68033	+	1.22804i	−0.0933171	+	0.0427548i
$826$	−3.68639	−	20.9065i	−0.128266	−	0.727431i
$827$	−1.23029	+	1.75703i	−0.0427813	+	0.0610981i	−0.839973	−	0.542628i	$-0.817429\pi$
$827$	−1.23029	+	1.75703i	−0.0427813	+	0.0610981i	0.797192	+	0.603726i	$0.206318\pi$
$828$	−17.9290	+	20.2611i	−0.623076	+	0.704121i
$829$	−15.7335	+	9.08377i	−0.546449	+	0.315492i	−0.747688	−	0.664050i	$-0.768836\pi$
$829$	−15.7335	+	9.08377i	−0.546449	+	0.315492i	0.201240	+	0.979542i	$0.435503\pi$
$830$	1.91149	+	1.15153i	0.0663489	+	0.0399702i
$831$	−2.35771	+	16.2552i	−0.0817880	+	0.563888i
$832$	−3.80716	+	1.77531i	−0.131989	+	0.0615477i
$833$	−37.0935	+	3.24526i	−1.28521	+	0.112442i
$834$	20.1797	+	15.9100i	0.698766	+	0.550918i
$835$	−8.53966	+	17.4580i	−0.295527	+	0.604159i
$836$	−1.34219	−	0.632894i	−0.0464207	−	0.0218891i
$837$	−16.2592	+	19.5438i	−0.562002	+	0.675532i
$838$	18.3107	−	12.8213i	0.632533	−	0.442904i
$839$	−4.76622	−	3.99933i	−0.164548	−	0.138072i	0.556795	−	0.830650i	$-0.312031\pi$
$839$	−4.76622	−	3.99933i	−0.164548	−	0.138072i	−0.721344	+	0.692577i	$0.756475\pi$
$840$	−13.7701	+	3.86580i	−0.475115	+	0.133383i
$841$	16.6327	−	6.05380i	0.573540	−	0.208752i
$842$	2.79093	+	0.244175i	0.0961817	+	0.00841481i
$843$	−29.2755	+	31.1177i	−1.00830	+	1.07175i
$844$	24.7152	+	14.2693i	0.850732	+	0.491171i
$845$	−5.02633	−	9.09235i	−0.172911	−	0.312786i
$846$	20.0483	−	19.0214i	0.689274	−	0.653968i
$847$	10.4029	+	38.8242i	0.357448	+	1.33401i
$848$	6.88509	+	1.84485i	0.236435	+	0.0633526i
$849$	−47.6768	+	9.91435i	−1.63626	+	0.340260i
$850$	−23.7532	−	14.9186i	−0.814727	−	0.511702i
$851$	−5.38670	+	14.7998i	−0.184654	+	0.507332i
$852$	10.7662	+	4.62614i	0.368843	+	0.158489i
$853$	1.38001	−	0.966293i	0.0472506	−	0.0330852i	−0.549713	−	0.835354i	$-0.685263\pi$
$853$	1.38001	−	0.966293i	0.0472506	−	0.0330852i	0.596963	+	0.802269i	$0.296374\pi$
$854$	11.0708			0.378834
$855$	27.9353	−	8.63832i	0.955366	−	0.295424i
$856$	−0.959584			−0.0327979
$857$	−8.73860	+	6.11883i	−0.298505	+	0.209015i	−0.713228	−	0.700932i	$-0.752767\pi$
$857$	−8.73860	+	6.11883i	−0.298505	+	0.209015i	0.414723	+	0.909948i	$0.363879\pi$
$858$	2.27577	+	0.977881i	0.0776936	+	0.0333843i
$859$	−4.99406	+	13.7211i	−0.170395	+	0.468156i	−0.995269	−	0.0971607i	$-0.969024\pi$
$859$	−4.99406	+	13.7211i	−0.170395	+	0.468156i	0.824874	+	0.565317i	$0.191246\pi$
$860$	15.2593	+	1.62153i	0.520338	+	0.0552937i
$861$	18.7932	−	3.90803i	0.640469	−	0.133185i
$862$	16.5487	+	4.43422i	0.563653	+	0.151030i
$863$	−1.66788	−	6.22461i	−0.0567753	−	0.211888i	0.931711	−	0.363202i	$-0.118316\pi$
$863$	−1.66788	−	6.22461i	−0.0567753	−	0.211888i	−0.988486	+	0.151313i	$0.951650\pi$
$864$	1.36602	+	5.01338i	0.0464728	+	0.170559i
$865$	−7.74989	+	26.9105i	−0.263504	+	0.914983i
$866$	1.68398	+	0.972246i	0.0572239	+	0.0330383i
$867$	−17.1747	+	18.2555i	−0.583285	+	0.619989i
$868$	17.9992	+	1.57472i	0.610932	+	0.0534496i
$869$	5.40171	−	1.96606i	0.183240	−	0.0666941i
$870$	6.37502	−	11.3515i	0.216134	−	0.384853i
$871$	−14.2355	−	11.9450i	−0.482350	−	0.404740i
$872$	4.36177	−	3.05415i	0.147708	−	0.103426i
$873$	5.28464	−	25.9618i	0.178858	−	0.878675i
$874$	−39.1450	−	3.59392i	−1.32410	−	0.121566i
$875$	−40.4148	+	8.44508i	−1.36627	+	0.285496i
$876$	−3.71362	−	2.92787i	−0.125472	−	0.0989237i
$877$	21.4506	−	1.87668i	0.724334	−	0.0633710i	0.280975	−	0.959715i	$-0.409342\pi$
$877$	21.4506	−	1.87668i	0.724334	−	0.0633710i	0.443359	+	0.896344i	$0.353787\pi$
$878$	6.17211	−	2.87810i	0.208299	−	0.0971312i
$879$	3.45960	−	23.8522i	0.116689	−	0.804516i
$880$	0.392815	−	0.652057i	0.0132418	−	0.0219809i
$881$	19.8037	−	11.4337i	0.667203	−	0.385210i	−0.127813	−	0.991798i	$-0.540796\pi$
$881$	19.8037	−	11.4337i	0.667203	−	0.385210i	0.795016	+	0.606588i	$0.207462\pi$
$882$	14.9121	+	13.1957i	0.502115	+	0.444322i
$883$	−28.5465	+	40.7686i	−0.960666	+	1.37197i	−0.0326361	+	0.999467i	$0.510390\pi$
$883$	−28.5465	+	40.7686i	−0.960666	+	1.37197i	−0.928030	+	0.372506i	$0.878499\pi$
$884$	4.09215	+	23.2077i	0.137634	+	0.780560i
$885$	−22.1550	+	2.20411i	−0.744732	+	0.0740904i
$886$	−0.518026	−	0.897248i	−0.0174034	−	0.0301436i
$887$	−5.63412	−	0.492921i	−0.189175	−	0.0165507i	−0.00782555	−	0.999969i	$-0.502491\pi$
$887$	−5.63412	−	0.492921i	−0.189175	−	0.0165507i	−0.181350	+	0.983419i	$0.558047\pi$
$888$	1.80975	+	2.42379i	0.0607312	+	0.0813372i
$889$	−22.5934	+	62.0748i	−0.757757	+	2.08192i
$890$	−21.0935	+	9.36245i	−0.707057	+	0.313830i
$891$	1.66923	−	2.56929i	0.0559214	−	0.0860746i
$892$	5.88562	−	5.88562i	0.197065	−	0.197065i
$893$	39.5138	+	7.14217i	1.32228	+	0.239003i
$894$	7.08525	+	3.80749i	0.236966	+	0.127341i
$895$	44.1697	−	6.94383i	1.47643	−	0.232107i
$896$	2.37374	−	2.82891i	0.0793011	−	0.0945074i
$897$	65.5101	+	3.72314i	2.18732	+	0.124312i
$898$	−14.8369	−	6.91858i	−0.495115	−	0.230876i
$899$	−12.5989	+	10.5718i	−0.420198	+	0.352588i
$900$	2.95533	+	14.7060i	0.0985110	+	0.490200i
$901$	19.9936	−	34.6300i	0.666084	−	1.15369i
$902$	−0.585993	+	0.836885i	−0.0195114	+	0.0278652i
$903$	−19.7551	−	39.1982i	−0.657410	−	1.30444i
$904$	0.411053	+	0.237322i	0.0136714	+	0.00789321i
$905$	29.1250	−	33.4269i	0.968148	−	1.11115i
$906$	5.00612	−	1.04102i	0.166317	−	0.0345855i
$907$	−10.4329	+	22.3735i	−0.346420	+	0.742899i	−0.999901	−	0.0140431i	$-0.995530\pi$
$907$	−10.4329	+	22.3735i	−0.346420	+	0.742899i	0.653482	+	0.756942i	$0.273308\pi$
$908$	−1.45841	+	0.680069i	−0.0483991	+	0.0225689i
$909$	4.31205	−	37.8136i	0.143022	−	1.25420i
$910$	28.0396	+	20.4211i	0.929502	+	0.676954i
$911$		−	14.6403i		−	0.485056i	−0.970144	−	0.242528i	$-0.922023\pi$
$911$		−	14.6403i		−	0.485056i	0.970144	−	0.242528i	$-0.0779766\pi$
$912$	−4.69972	+	5.90869i	−0.155623	+	0.195656i
$913$	0.240238	+	0.240238i	0.00795073	+	0.00795073i
$914$	−4.80253	+	27.2365i	−0.158853	+	0.900903i
$915$	0.874307	−	11.5777i	0.0289037	−	0.382748i
$916$	−10.5300	−	3.83262i	−0.347922	−	0.126633i
$917$	−53.3487	−	24.8769i	−1.76173	−	0.821509i
$918$	29.1497	−	0.122918i	0.962083	−	0.00405690i
$919$	15.9480	−	9.20756i	0.526075	−	0.303729i	−0.213342	−	0.976978i	$-0.568435\pi$
$919$	15.9480	−	9.20756i	0.526075	−	0.303729i	0.739417	+	0.673248i	$0.235101\pi$
$920$	3.87046	−	19.7905i	0.127605	−	0.652473i
$921$	−11.7982	−	3.89111i	−0.388765	−	0.128217i
$922$	−23.0681	−	16.1525i	−0.759708	−	0.531953i
$923$	−7.35555	−	27.4513i	−0.242111	−	0.903570i
$924$	−2.17650	+	0.0663918i	−0.0716018	+	0.00218413i
$925$	4.73902	+	7.33426i	0.155818	+	0.241149i
$926$	−0.778704	−	2.13947i	−0.0255898	−	0.0703074i
$927$	14.3899	+	8.82008i	0.472627	+	0.289689i
$928$	0.292977	+	3.34874i	0.00961743	+	0.109928i
$929$	−5.38170	+	30.5212i	−0.176568	+	1.00137i	0.759750	+	0.650215i	$0.225321\pi$
$929$	−5.38170	+	30.5212i	−0.176568	+	1.00137i	−0.936318	+	0.351152i	$0.885790\pi$
$930$	3.06831	−	18.6990i	0.100614	−	0.613165i
$931$	−2.64512	+	28.8106i	−0.0866902	+	0.944229i
$932$	−2.39596	−	2.39596i	−0.0784824	−	0.0784824i
$933$	25.2926	−	2.99233i	0.828044	−	0.0979645i
$934$	3.32054	−	3.95726i	0.108651	−	0.129486i
$935$	−2.96299	−	3.07532i	−0.0969002	−	0.100574i
$936$	7.49707	−	10.1296i	0.245049	−	0.331098i
$937$	1.84601	−	21.0999i	0.0603064	−	0.689305i	−0.904522	−	0.426426i	$-0.859772\pi$
$937$	1.84601	−	21.0999i	0.0603064	−	0.689305i	0.964829	−	0.262879i	$-0.0846720\pi$
$938$	15.7798	+	4.22819i	0.515229	+	0.138055i
$939$	−18.5190	+	11.4586i	−0.604343	+	0.373938i
$940$	−5.70048	+	19.7941i	−0.185929	+	0.645614i
$941$	−32.4062	+	5.71410i	−1.05641	+	0.186274i	−0.674765	−	0.738033i	$-0.735755\pi$
$941$	−32.4062	+	5.71410i	−1.05641	+	0.186274i	−0.381649	+	0.924307i	$0.624644\pi$
$942$	0.952407	−	4.04384i	0.0310311	−	0.131756i
$943$	−7.00462	+	26.1416i	−0.228102	+	0.851288i
$944$	4.40371	−	3.69515i	0.143329	−	0.120267i
$945$	30.7734	−	29.9006i	1.00106	−	0.972667i
$946$	2.19538	+	0.799052i	0.0713779	+	0.0259794i
$947$	−1.77977	−	20.3428i	−0.0578347	−	0.661053i	−0.968681	−	0.248308i	$-0.920125\pi$
$947$	−1.77977	−	20.3428i	−0.0578347	−	0.661053i	0.910846	−	0.412745i	$-0.135430\pi$
$948$	−3.43612	−	29.0437i	−0.111600	−	0.943297i
$949$			11.4692i			0.372307i
$950$	−14.6897	+	16.1001i	−0.476596	+	0.522357i
$951$	−25.1815	−	13.5321i	−0.816565	−	0.438807i
$952$	−11.8826	−	16.9702i	−0.385118	−	0.550006i
$953$	−55.3431	+	4.84190i	−1.79274	+	0.156844i	−0.934397	−	0.356233i	$-0.884061\pi$
$953$	−55.3431	+	4.84190i	−1.79274	+	0.156844i	−0.858343	+	0.513077i	$0.828505\pi$
$954$	−20.7936	+	4.98994i	−0.673216	+	0.161555i
$955$	−38.0003	+	30.6999i	−1.22966	+	0.993425i
$956$	−10.6110	−	12.6457i	−0.343183	−	0.408990i
$957$	1.35819	−	1.44366i	0.0439042	−	0.0466670i
$958$	4.94058	−	1.32382i	0.159623	−	0.0427708i
$959$	−8.67791	−	49.2149i	−0.280224	−	1.58923i
$960$	−2.77099	−	2.70585i	−0.0894333	−	0.0873309i
$961$	3.53106	−	6.11598i	0.113905	−	0.197290i
$962$	1.89876	−	7.08628i	0.0612185	−	0.228471i
$963$	2.53003	−	1.37337i	0.0815291	−	0.0442564i
$964$	−5.09093	−	13.9872i	−0.163968	−	0.450498i
$965$	19.8759	−	19.1499i	0.639828	−	0.616457i
$966$	−53.5777	+	21.3723i	−1.72383	+	0.687642i
$967$	5.47457	+	7.81850i	0.176050	+	0.251426i	0.897473	−	0.441069i	$-0.145401\pi$
$967$	5.47457	+	7.81850i	0.176050	+	0.251426i	−0.721423	+	0.692495i	$0.756512\pi$
$968$	−7.69622	+	7.69622i	−0.247366	+	0.247366i
$969$	25.1940	+	34.0458i	0.809347	+	1.09371i
$970$	6.40776	+	18.6791i	0.205741	+	0.599750i
$971$	13.9032	+	2.45151i	0.446176	+	0.0786728i	0.392222	−	0.919871i	$-0.371707\pi$
$971$	13.9032	+	2.45151i	0.446176	+	0.0786728i	0.0539537	+	0.998543i	$0.482818\pi$
$972$	−10.7769	−	11.2632i	−0.345668	−	0.361266i
$973$	23.1548	+	49.6555i	0.742307	+	1.59188i
$974$	34.0655	−	12.3988i	1.09153	−	0.397284i
$975$	23.5707	−	27.7108i	0.754865	−	0.887455i
$976$	1.49893	+	2.59623i	0.0479797	+	0.0831033i
$977$	−40.0493	+	10.7312i	−1.28129	+	0.343321i	−0.834346	−	0.551241i	$-0.814155\pi$
$977$	−40.0493	+	10.7312i	−1.28129	+	0.343321i	−0.446945	+	0.894562i	$0.647488\pi$
$978$	38.0014	−	19.1520i	1.21515	−	0.612412i
$979$	−3.46019	+	0.610124i	−0.110588	+	0.0194997i
$980$	−14.5657	−	2.84865i	−0.465285	−	0.0909967i
$981$	−7.12906	+	14.2952i	−0.227613	+	0.456410i
$982$	0.0283726	−	0.324300i	0.000905405	−	0.0103488i
$983$	−8.91340	+	19.1149i	−0.284293	+	0.609669i	−0.995651	−	0.0931610i	$-0.970303\pi$
$983$	−8.91340	+	19.1149i	−0.284293	+	0.609669i	0.711358	+	0.702830i	$0.248081\pi$
$984$	3.46099	+	3.87809i	0.110332	+	0.123629i
$985$	1.51095	−	0.670641i	0.0481429	−	0.0213684i
$986$	18.5714	+	3.27464i	0.591433	+	0.104286i
$987$	56.4231	−	16.9784i	1.79597	−	0.540429i
$988$	18.3104	+	0.0785046i	0.582532	+	0.00249757i
$989$	61.8886			1.96794
$990$	−0.102456	+	2.28141i	−0.00325626	+	0.0725081i
$991$	−18.3467	−	15.3947i	−0.582802	−	0.489029i	0.303064	−	0.952970i	$-0.401991\pi$
$991$	−18.3467	−	15.3947i	−0.582802	−	0.489029i	−0.885866	+	0.463941i	$0.846435\pi$
$992$	2.06772	+	4.43423i	0.0656501	+	0.140787i
$993$	−37.1662	+	27.7505i	−1.17943	+	0.880635i
$994$	16.0593	+	19.1387i	0.509370	+	0.607044i
$995$	7.35634	+	6.40961i	0.233212	+	0.203198i
$996$	1.46992	−	0.909517i	0.0465763	−	0.0288191i
$997$	19.2193	+	13.4575i	0.608680	+	0.426203i	0.836860	−	0.547416i	$-0.184389\pi$
$997$	19.2193	+	13.4575i	0.608680	+	0.426203i	−0.228180	+	0.973619i	$0.573277\pi$
$998$	−16.3864	−	11.4739i	−0.518701	−	0.363198i
$999$	−8.24054	−	3.80041i	−0.260719	−	0.120240i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	570.2.bi.a.473.23	yes	480
3.2	odd	2	inner	570.2.bi.a.473.18	yes	480
5.2	odd	4	inner	570.2.bi.a.17.29	yes	480
15.2	even	4	inner	570.2.bi.a.17.6	✓	480
19.9	even	9	inner	570.2.bi.a.503.6	yes	480
57.47	odd	18	inner	570.2.bi.a.503.29	yes	480
95.47	odd	36	inner	570.2.bi.a.47.18	yes	480
285.47	even	36	inner	570.2.bi.a.47.23	yes	480

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
570.2.bi.a.17.6	✓	480	15.2	even	4	inner
570.2.bi.a.17.29	yes	480	5.2	odd	4	inner
570.2.bi.a.47.18	yes	480	95.47	odd	36	inner
570.2.bi.a.47.23	yes	480	285.47	even	36	inner
570.2.bi.a.473.18	yes	480	3.2	odd	2	inner
570.2.bi.a.473.23	yes	480	1.1	even	1	trivial
570.2.bi.a.503.6	yes	480	19.9	even	9	inner
570.2.bi.a.503.29	yes	480	57.47	odd	18	inner

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:	\( N \)	\(=\)	\( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	570.bi (of order \(36\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(0.819152 - 0.573576i) q^{2} +(-1.59136 - 0.683794i) q^{3} +(0.342020 - 0.939693i) q^{4} +(-1.40521 - 1.73937i) q^{5} +(-1.69577 + 0.352635i) q^{6} +(-3.56705 - 0.955789i) q^{7} +(-0.258819 - 0.965926i) q^{8} +(2.06485 + 2.17632i) q^{9} +O(q^{10})\)	\(q+(0.819152 - 0.573576i) q^{2} +(-1.59136 - 0.683794i) q^{3} +(0.342020 - 0.939693i) q^{4} +(-1.40521 - 1.73937i) q^{5} +(-1.69577 + 0.352635i) q^{6} +(-3.56705 - 0.955789i) q^{7} +(-0.258819 - 0.965926i) q^{8} +(2.06485 + 2.17632i) q^{9} +(-2.14874 - 0.618811i) q^{10} +(-0.294826 - 0.170218i) q^{11} +(-1.18683 + 1.26152i) q^{12} +(4.18475 + 0.366118i) q^{13} +(-3.47018 + 1.26304i) q^{14} +(1.04682 + 3.72883i) q^{15} +(-0.766044 - 0.642788i) q^{16} +(-4.59537 + 3.21771i) q^{17} +(2.93972 + 0.598391i) q^{18} +(1.82520 + 3.95837i) q^{19} +(-2.11508 + 0.725565i) q^{20} +(5.02290 + 3.96013i) q^{21} +(-0.339140 + 0.0296709i) q^{22} +(-8.17331 + 3.81128i) q^{23} +(-0.248620 + 1.71411i) q^{24} +(-1.05078 + 4.88834i) q^{25} +(3.63794 - 2.10037i) q^{26} +(-1.79776 - 4.87525i) q^{27} +(-2.11815 + 3.02503i) q^{28} +(-0.583724 - 3.31046i) q^{29} +(2.99628 + 2.45404i) q^{30} +(-2.44632 - 4.23715i) q^{31} +(-0.996195 - 0.0871557i) q^{32} +(0.352780 + 0.472478i) q^{33} +(-1.91870 + 5.27159i) q^{34} +(3.34998 + 7.54749i) q^{35} +(2.75130 - 1.19598i) q^{36} +(1.23491 - 1.23491i) q^{37} +(3.76554 + 2.19561i) q^{38} +(-6.40909 - 3.44413i) q^{39} +(-1.31640 + 1.80751i) q^{40} +(1.92901 - 2.29890i) q^{41} +(6.38596 + 0.362934i) q^{42} +(-6.21962 - 2.90026i) q^{43} +(-0.260789 + 0.218828i) q^{44} +(0.883880 - 6.64972i) q^{45} +(-4.50913 + 7.81003i) q^{46} +(5.28378 - 7.54602i) q^{47} +(0.779518 + 1.54672i) q^{48} +(5.74816 + 3.31870i) q^{49} +(1.94308 + 4.60700i) q^{50} +(9.51313 - 1.97825i) q^{51} +(1.77531 - 3.80716i) q^{52} +(-6.46013 + 3.01241i) q^{53} +(-4.26897 - 2.96242i) q^{54} +(0.118221 + 0.752002i) q^{55} +3.69289i q^{56} +(-0.197836 - 7.54724i) q^{57} +(-2.37696 - 2.37696i) q^{58} +(-0.998240 + 5.66130i) q^{59} +(3.86199 + 0.291643i) q^{60} +(-2.81708 - 1.02533i) q^{61} +(-4.43423 - 2.06772i) q^{62} +(-5.28533 - 9.73663i) q^{63} +(-0.866025 + 0.500000i) q^{64} +(-5.24363 - 7.79328i) q^{65} +(0.559983 + 0.184685i) q^{66} +(-3.62374 - 2.53737i) q^{67} +(1.45195 + 5.41875i) q^{68} +(15.6128 - 0.476251i) q^{69} +(7.07321 + 4.26107i) q^{70} +(-2.31390 - 6.35740i) q^{71} +(1.56775 - 2.55777i) q^{72} +(0.237960 + 2.71990i) q^{73} +(0.303263 - 1.71989i) q^{74} +(5.01479 - 7.06059i) q^{75} +(4.34390 - 0.361282i) q^{76} +(0.888968 + 0.888968i) q^{77} +(-7.22550 + 0.854836i) q^{78} +(-10.8537 + 12.9349i) q^{79} +(-0.0415911 + 2.23568i) q^{80} +(-0.472780 + 8.98757i) q^{81} +(0.261554 - 2.98958i) q^{82} +(-0.963975 - 0.258296i) q^{83} +(5.43924 - 3.36554i) q^{84} +(12.0542 + 3.47147i) q^{85} +(-6.75833 + 1.19168i) q^{86} +(-1.33476 + 5.66728i) q^{87} +(-0.0881113 + 0.328836i) q^{88} +(7.90618 - 6.63407i) q^{89} +(-3.09009 - 5.95410i) q^{90} +(-14.5773 - 5.30570i) q^{91} +(0.785992 + 8.98393i) q^{92} +(0.995635 + 8.41560i) q^{93} -9.21199i q^{94} +(4.32026 - 8.73701i) q^{95} +(1.52571 + 0.819888i) q^{96} +(-5.06549 - 7.23427i) q^{97} +(6.61214 - 0.578488i) q^{98} +(-0.238322 - 0.993112i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 480 q+O(q^{10}) \) 480 * q	\( 480 q - 36 q^{15} - 48 q^{18} + 24 q^{22} - 24 q^{25} + 72 q^{33} + 24 q^{43} - 36 q^{45} + 24 q^{51} - 120 q^{55} + 108 q^{57} - 48 q^{60} - 48 q^{61} - 36 q^{63} - 24 q^{66} + 48 q^{67} - 48 q^{70} - 48 q^{78} - 144 q^{81} - 48 q^{85} - 96 q^{87} - 168 q^{90} - 144 q^{91} - 228 q^{93} + 48 q^{97}+O(q^{100}) \) 480 * q - 36 * q^15 - 48 * q^18 + 24 * q^22 - 24 * q^25 + 72 * q^33 + 24 * q^43 - 36 * q^45 + 24 * q^51 - 120 * q^55 + 108 * q^57 - 48 * q^60 - 48 * q^61 - 36 * q^63 - 24 * q^66 + 48 * q^67 - 48 * q^70 - 48 * q^78 - 144 * q^81 - 48 * q^85 - 96 * q^87 - 168 * q^90 - 144 * q^91 - 228 * q^93 + 48 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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