LMFDB - Embedded newform 600.2.bk.a.59.14

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [600,2,Mod(59,600)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(600, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 5, 5, 7]))

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

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

chi := DirichletCharacter("600.59");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 600 = 2^{3} \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	600.bk (of order $10$, 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:	$4.79102412128$
Analytic rank:	$0$
Dimension:	$464$
Relative dimension:	$116$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			59.14
Character	$\chi$	$=$	600.59
Dual form			600.2.bk.a.539.14

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.33942 + 0.453823i) q^{2} +(-1.47999 - 0.899792i) q^{3} +(1.58809 - 1.21572i) q^{4} +(1.50979 - 1.64940i) q^{5} +(2.39068 + 0.533545i) q^{6} -3.47761 q^{7} +(-1.57540 + 2.34907i) q^{8} +(1.38075 + 2.66337i) q^{9} +O(q^{10})$	\(q+(-1.33942 + 0.453823i) q^{2} +(-1.47999 - 0.899792i) q^{3} +(1.58809 - 1.21572i) q^{4} +(1.50979 - 1.64940i) q^{5} +(2.39068 + 0.533545i) q^{6} -3.47761 q^{7} +(-1.57540 + 2.34907i) q^{8} +(1.38075 + 2.66337i) q^{9} +(-1.27371 + 2.89442i) q^{10} +(3.15438 - 4.34164i) q^{11} +(-3.44425 + 0.370301i) q^{12} +(2.01184 - 1.46169i) q^{13} +(4.65797 - 1.57822i) q^{14} +(-3.71860 + 1.08260i) q^{15} +(1.04406 - 3.86134i) q^{16} +(1.75450 - 5.39978i) q^{17} +(-3.05810 - 2.94075i) q^{18} +(-2.07304 + 6.38015i) q^{19} +(0.392483 - 4.45488i) q^{20} +(5.14683 + 3.12912i) q^{21} +(-2.25471 + 7.24680i) q^{22} +(-1.48216 + 2.04002i) q^{23} +(4.44525 - 2.05907i) q^{24} +(-0.441045 - 4.98051i) q^{25} +(-2.03135 + 2.87083i) q^{26} +(0.352981 - 5.18415i) q^{27} +(-5.52275 + 4.22779i) q^{28} +(0.0721426 + 0.222032i) q^{29} +(4.48946 - 3.13764i) q^{30} +(-4.44893 - 1.44554i) q^{31} +(0.353929 + 5.64577i) q^{32} +(-8.57503 + 3.58730i) q^{33} +(0.100538 + 8.02881i) q^{34} +(-5.25047 + 5.73597i) q^{35} +(5.43066 + 2.55107i) q^{36} +(-3.84940 + 2.79675i) q^{37} +(-0.118791 - 9.48649i) q^{38} +(-4.29271 + 0.353047i) q^{39} +(1.49603 + 6.14507i) q^{40} +(-2.94845 - 4.05820i) q^{41} +(-8.31383 - 1.85546i) q^{42} -4.07239i q^{43} +(-0.268760 - 10.7297i) q^{44} +(6.47761 + 1.74373i) q^{45} +(1.05943 - 3.40508i) q^{46} +(1.18843 - 0.386146i) q^{47} +(-5.01960 + 4.77531i) q^{48} +5.09375 q^{49} +(2.85101 + 6.47084i) q^{50} +(-7.45532 + 6.41295i) q^{51} +(1.41798 - 4.76711i) q^{52} +(-12.7666 + 4.14812i) q^{53} +(1.87989 + 7.10394i) q^{54} +(-2.39863 - 11.7578i) q^{55} +(5.47862 - 8.16913i) q^{56} +(8.80888 - 7.57727i) q^{57} +(-0.197392 - 0.264654i) q^{58} +(-6.80321 - 9.36382i) q^{59} +(-4.58934 + 6.24003i) q^{60} +(-0.561986 + 0.773507i) q^{61} +(6.61500 - 0.0828338i) q^{62} +(-4.80170 - 9.26215i) q^{63} +(-3.03624 - 7.40144i) q^{64} +(0.626555 - 5.52517i) q^{65} +(9.85757 - 8.69644i) q^{66} +(8.39778 + 2.72860i) q^{67} +(-3.77832 - 10.7083i) q^{68} +(4.02918 - 1.68557i) q^{69} +(4.42947 - 10.0656i) q^{70} +(-4.46823 - 13.7518i) q^{71} +(-8.43166 - 0.952395i) q^{72} +(4.76705 - 6.56127i) q^{73} +(3.88673 - 5.49297i) q^{74} +(-3.82868 + 7.76796i) q^{75} +(4.46429 + 12.6525i) q^{76} +(-10.9697 + 15.0985i) q^{77} +(5.58953 - 2.42101i) q^{78} +(-11.9469 + 3.88178i) q^{79} +(-4.79258 - 7.55190i) q^{80} +(-5.18707 + 7.35489i) q^{81} +(5.79092 + 4.09755i) q^{82} +(0.464388 - 1.42924i) q^{83} +(11.9778 - 1.28776i) q^{84} +(-6.25748 - 11.0464i) q^{85} +(1.84814 + 5.45464i) q^{86} +(0.0930122 - 0.393519i) q^{87} +(5.22939 + 14.2497i) q^{88} +(-3.17224 + 4.36621i) q^{89} +(-9.46758 + 0.604099i) q^{90} +(-6.99638 + 5.08317i) q^{91} +(0.126283 + 5.04162i) q^{92} +(5.28369 + 6.14250i) q^{93} +(-1.41657 + 1.05655i) q^{94} +(7.39357 + 13.0520i) q^{95} +(4.55621 - 8.67416i) q^{96} +(-2.85732 + 0.928400i) q^{97} +(-6.82267 + 2.31166i) q^{98} +(15.9188 + 2.40658i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 464 q - 10 q^{3} - 6 q^{4} + q^{6} - 6 q^{9}+O(q^{10}) $ 464 * q - 10 * q^3 - 6 * q^4 + q^6 - 6 * q^9	$ 464 q - 10 q^{3} - 6 q^{4} + q^{6} - 6 q^{9} - 16 q^{10} - 5 q^{12} - 18 q^{16} - 12 q^{19} - 10 q^{22} + 12 q^{24} - 16 q^{25} - 10 q^{27} - 50 q^{28} - 21 q^{30} - 10 q^{33} - 14 q^{34} - 25 q^{36} - 32 q^{40} + 15 q^{42} - 34 q^{46} - 70 q^{48} + 336 q^{49} - 4 q^{51} - 60 q^{52} + 40 q^{54} - 70 q^{58} - 50 q^{60} - 30 q^{64} + 28 q^{66} - 20 q^{67} - 16 q^{70} - 5 q^{72} - 20 q^{73} - 42 q^{75} - 48 q^{76} + 75 q^{78} - 6 q^{81} - 76 q^{84} - 70 q^{88} + 66 q^{90} - 96 q^{91} - 108 q^{94} - 50 q^{96} - 60 q^{97} - 52 q^{99}+O(q^{100}) $ 464 * q - 10 * q^3 - 6 * q^4 + q^6 - 6 * q^9 - 16 * q^10 - 5 * q^12 - 18 * q^16 - 12 * q^19 - 10 * q^22 + 12 * q^24 - 16 * q^25 - 10 * q^27 - 50 * q^28 - 21 * q^30 - 10 * q^33 - 14 * q^34 - 25 * q^36 - 32 * q^40 + 15 * q^42 - 34 * q^46 - 70 * q^48 + 336 * q^49 - 4 * q^51 - 60 * q^52 + 40 * q^54 - 70 * q^58 - 50 * q^60 - 30 * q^64 + 28 * q^66 - 20 * q^67 - 16 * q^70 - 5 * q^72 - 20 * q^73 - 42 * q^75 - 48 * q^76 + 75 * q^78 - 6 * q^81 - 76 * q^84 - 70 * q^88 + 66 * q^90 - 96 * q^91 - 108 * q^94 - 50 * q^96 - 60 * q^97 - 52 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/600\mathbb{Z}\right)^\times$.

$n$	$151$	$301$	$401$	$577$
$\chi(n)$	$-1$	$-1$	$-1$	$e\left(\frac{7}{10}\right)$

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 $

$2$	−1.33942	+	0.453823i	−0.947113	+	0.320901i
$2$	−1.33942	+	0.453823i	−0.947113	+	0.320901i
$3$	−1.47999	−	0.899792i	−0.854473	−	0.519495i
$3$	−1.47999	−	0.899792i	−0.854473	−	0.519495i
$4$	1.58809	−	1.21572i	0.794045	−	0.607859i
$5$	1.50979	−	1.64940i	0.675200	−	0.737634i
$5$	1.50979	−	1.64940i	0.675200	−	0.737634i
$6$	2.39068	+	0.533545i	0.975989	+	0.217819i
$7$	−3.47761			−1.31441			−0.657206	−	0.753711i	$-0.728262\pi$
$7$	−3.47761			−1.31441			−0.657206	+	0.753711i	$0.728262\pi$
$8$	−1.57540	+	2.34907i	−0.556988	+	0.830521i
$9$	1.38075	+	2.66337i	0.460250	+	0.887790i
$10$	−1.27371	+	2.89442i	−0.402783	+	0.915295i
$11$	3.15438	−	4.34164i	0.951082	−	1.30905i	3.73119e−5	−	1.00000i	$-0.499988\pi$
$11$	3.15438	−	4.34164i	0.951082	−	1.30905i	0.951045	−	0.309052i	$-0.100012\pi$
$12$	−3.44425	+	0.370301i	−0.994270	+	0.106897i
$13$	2.01184	−	1.46169i	0.557983	−	0.405399i	−0.272737	−	0.962089i	$-0.587929\pi$
$13$	2.01184	−	1.46169i	0.557983	−	0.405399i	0.830720	+	0.556690i	$0.187929\pi$
$14$	4.65797	−	1.57822i	1.24490	−	0.421796i
$15$	−3.71860	+	1.08260i	−0.960138	+	0.279526i
$16$	1.04406	−	3.86134i	0.261015	−	0.965335i
$17$	1.75450	−	5.39978i	0.425528	−	1.30964i	−0.476960	−	0.878925i	$-0.658261\pi$
$17$	1.75450	−	5.39978i	0.425528	−	1.30964i	0.902488	−	0.430715i	$-0.141739\pi$
$18$	−3.05810	−	2.94075i	−0.720801	−	0.693142i
$19$	−2.07304	+	6.38015i	−0.475587	+	1.46371i	0.369577	+	0.929200i	$0.379503\pi$
$19$	−2.07304	+	6.38015i	−0.475587	+	1.46371i	−0.845164	+	0.534507i	$0.820497\pi$
$20$	0.392483	−	4.45488i	0.0877618	−	0.996141i
$21$	5.14683	+	3.12912i	1.12313	+	0.682831i
$22$	−2.25471	+	7.24680i	−0.480706	+	1.54502i
$23$	−1.48216	+	2.04002i	−0.309052	+	0.425373i	−0.935085	−	0.354423i	$-0.884677\pi$
$23$	−1.48216	+	2.04002i	−0.309052	+	0.425373i	0.626034	+	0.779796i	$0.284677\pi$
$24$	4.44525	−	2.05907i	0.907383	−	0.420306i
$25$	−0.441045	−	4.98051i	−0.0882090	−	0.996102i
$26$	−2.03135	+	2.87083i	−0.398380	+	0.563016i
$27$	0.352981	−	5.18415i	0.0679313	−	0.997690i
$28$	−5.52275	+	4.22779i	−1.04370	+	0.798977i
$29$	0.0721426	+	0.222032i	0.0133965	+	0.0412303i	0.957531	−	0.288329i	$-0.0930998\pi$
$29$	0.0721426	+	0.222032i	0.0133965	+	0.0412303i	−0.944135	+	0.329560i	$0.893100\pi$
$30$	4.48946	−	3.13764i	0.819659	−	0.572852i
$31$	−4.44893	−	1.44554i	−0.799051	−	0.259627i	−0.119097	−	0.992883i	$-0.538000\pi$
$31$	−4.44893	−	1.44554i	−0.799051	−	0.259627i	−0.679954	+	0.733255i	$0.738000\pi$
$32$	0.353929	+	5.64577i	0.0625664	+	0.998041i
$33$	−8.57503	+	3.58730i	−1.49272	+	0.624468i
$34$	0.100538	+	8.02881i	0.0172420	+	1.37693i
$35$	−5.25047	+	5.73597i	−0.887491	+	0.969555i
$36$	5.43066	+	2.55107i	0.905110	+	0.425178i
$37$	−3.84940	+	2.79675i	−0.632837	+	0.459783i	−0.857382	−	0.514681i	$-0.827910\pi$
$37$	−3.84940	+	2.79675i	−0.632837	+	0.459783i	0.224545	+	0.974464i	$0.427910\pi$
$38$	−0.118791	−	9.48649i	−0.0192704	−	1.53891i
$39$	−4.29271	+	0.353047i	−0.687385	+	0.0565327i
$40$	1.49603	+	6.14507i	0.236543	+	0.971621i
$41$	−2.94845	−	4.05820i	−0.460471	−	0.633784i	0.514136	−	0.857709i	$-0.328113\pi$
$41$	−2.94845	−	4.05820i	−0.460471	−	0.633784i	−0.974606	+	0.223925i	$0.928113\pi$
$42$	−8.31383	−	1.85546i	−1.28285	−	0.286304i
$43$		−	4.07239i		−	0.621034i	−0.950568	−	0.310517i	$-0.899498\pi$
$43$		−	4.07239i		−	0.621034i	0.950568	−	0.310517i	$-0.100502\pi$
$44$	−0.268760	−	10.7297i	−0.0405171	−	1.61757i
$45$	6.47761	+	1.74373i	0.965625	+	0.259940i
$46$	1.05943	−	3.40508i	0.156204	−	0.502051i
$47$	1.18843	−	0.386146i	0.173351	−	0.0563251i	−0.221056	−	0.975261i	$-0.570950\pi$
$47$	1.18843	−	0.386146i	0.173351	−	0.0563251i	0.394406	+	0.918936i	$0.370950\pi$
$48$	−5.01960	+	4.77531i	−0.724517	+	0.689257i
$49$	5.09375			0.727678
$50$	2.85101	+	6.47084i	0.403194	+	0.915115i
$51$	−7.45532	+	6.41295i	−1.04395	+	0.897993i
$52$	1.41798	−	4.76711i	0.196639	−	0.661080i
$53$	−12.7666	+	4.14812i	−1.75363	+	0.569787i	−0.996508	−	0.0834918i	$-0.973393\pi$
$53$	−12.7666	+	4.14812i	−1.75363	+	0.569787i	−0.757117	+	0.653279i	$0.773393\pi$
$54$	1.87989	+	7.10394i	0.255821	+	0.966724i
$55$	−2.39863	−	11.7578i	−0.323431	−	1.58542i
$56$	5.47862	−	8.16913i	0.732111	−	1.09165i
$57$	8.80888	−	7.57727i	1.16677	−	1.00363i
$58$	−0.197392	−	0.264654i	−0.0259189	−	0.0347508i
$59$	−6.80321	−	9.36382i	−0.885703	−	1.21907i	−0.974808	−	0.223044i	$-0.928401\pi$
$59$	−6.80321	−	9.36382i	−0.885703	−	1.21907i	0.0891054	−	0.996022i	$-0.471599\pi$
$60$	−4.58934	+	6.24003i	−0.592481	+	0.805585i
$61$	−0.561986	+	0.773507i	−0.0719549	+	0.0990374i	−0.843478	−	0.537164i	$-0.819495\pi$
$61$	−0.561986	+	0.773507i	−0.0719549	+	0.0990374i	0.771523	+	0.636202i	$0.219495\pi$
$62$	6.61500	−	0.0828338i	0.840106	−	0.0105199i
$63$	−4.80170	−	9.26215i	−0.604958	−	1.16692i
$64$	−3.03624	−	7.40144i	−0.379530	−	0.925180i
$65$	0.626555	−	5.52517i	0.0777146	−	0.685313i
$66$	9.85757	−	8.69644i	1.21338	−	1.07046i
$67$	8.39778	+	2.72860i	1.02595	+	0.333352i	0.773189	−	0.634176i	$-0.218661\pi$
$67$	8.39778	+	2.72860i	1.02595	+	0.333352i	0.252763	+	0.967528i	$0.418661\pi$
$68$	−3.77832	−	10.7083i	−0.458188	−	1.29857i
$69$	4.02918	−	1.68557i	0.485056	−	0.202919i
$70$	4.42947	−	10.0656i	0.529423	−	1.20308i
$71$	−4.46823	−	13.7518i	−0.530281	−	1.63204i	−0.753631	−	0.657298i	$-0.771699\pi$
$71$	−4.46823	−	13.7518i	−0.530281	−	1.63204i	0.223350	−	0.974738i	$-0.428301\pi$
$72$	−8.43166	−	0.952395i	−0.993681	−	0.112241i
$73$	4.76705	−	6.56127i	0.557940	−	0.767939i	−0.433122	−	0.901335i	$-0.642588\pi$
$73$	4.76705	−	6.56127i	0.557940	−	0.767939i	0.991063	+	0.133396i	$0.0425882\pi$
$74$	3.88673	−	5.49297i	0.451823	−	0.638545i
$75$	−3.82868	+	7.76796i	−0.442098	+	0.896967i
$76$	4.46429	+	12.6525i	0.512090	+	1.45134i
$77$	−10.9697	+	15.0985i	−1.25011	+	1.72063i
$78$	5.58953	−	2.42101i	0.632889	−	0.274125i
$79$	−11.9469	+	3.88178i	−1.34413	+	0.436735i	−0.890714	−	0.454564i	$-0.849795\pi$
$79$	−11.9469	+	3.88178i	−1.34413	+	0.436735i	−0.453417	+	0.891299i	$0.649795\pi$
$80$	−4.79258	−	7.55190i	−0.535827	−	0.844328i
$81$	−5.18707	+	7.35489i	−0.576341	+	0.817210i
$82$	5.79092	+	4.09755i	0.639500	+	0.452499i
$83$	0.464388	−	1.42924i	0.0509732	−	0.156879i	−0.922330	−	0.386404i	$-0.873717\pi$
$83$	0.464388	−	1.42924i	0.0509732	−	0.156879i	0.973303	+	0.229525i	$0.0737171\pi$
$84$	11.9778	−	1.28776i	1.30688	−	0.140506i
$85$	−6.25748	−	11.0464i	−0.678719	−	1.19815i
$86$	1.84814	+	5.45464i	0.199290	+	0.588189i
$87$	0.0930122	−	0.393519i	0.00997196	−	0.0421896i
$88$	5.22939	+	14.2497i	0.557454	+	1.51902i
$89$	−3.17224	+	4.36621i	−0.336256	+	0.462817i	−0.943343	−	0.331818i	$-0.892338\pi$
$89$	−3.17224	+	4.36621i	−0.336256	+	0.462817i	0.607087	+	0.794635i	$0.292338\pi$
$90$	−9.46758	+	0.604099i	−0.997971	+	0.0636777i
$91$	−6.99638	+	5.08317i	−0.733420	+	0.532861i
$92$	0.126283	+	5.04162i	0.0131659	+	0.525625i
$93$	5.28369	+	6.14250i	0.547893	+	0.636948i
$94$	−1.41657	+	1.05655i	−0.146108	+	0.108975i
$95$	7.39357	+	13.0520i	0.758564	+	1.33910i
$96$	4.55621	−	8.67416i	0.465016	−	0.885302i
$97$	−2.85732	+	0.928400i	−0.290117	+	0.0942648i	−0.450460	−	0.892797i	$-0.648740\pi$
$97$	−2.85732	+	0.928400i	−0.290117	+	0.0942648i	0.160343	+	0.987061i	$0.448740\pi$
$98$	−6.82267	+	2.31166i	−0.689193	+	0.233513i
$99$	15.9188	+	2.40658i	1.59990	+	0.241870i
$100$	−6.75531	−	7.37331i	−0.675531	−	0.737331i
$101$	6.38572			0.635403			0.317702	−	0.948191i	$-0.397089\pi$
$101$	6.38572			0.635403			0.317702	+	0.948191i	$0.397089\pi$
$102$	7.07546	−	11.9730i	0.700575	−	1.18551i
$103$	2.92269	+	8.99511i	0.287981	+	0.886315i	0.985489	+	0.169738i	$0.0542921\pi$
$103$	2.92269	+	8.99511i	0.287981	+	0.886315i	−0.697508	+	0.716577i	$0.745708\pi$
$104$	0.264152	+	7.02868i	0.0259022	+	0.689219i
$105$	12.9318	−	3.76485i	1.26202	−	0.367412i
$106$	15.2173	−	11.3498i	1.47804	−	1.10239i
$107$	10.6298			1.02762			0.513811	−	0.857903i	$-0.328233\pi$
$107$	10.6298			1.02762			0.513811	+	0.857903i	$0.328233\pi$
$108$	−5.74190	−	8.66202i	−0.552514	−	0.833503i
$109$	4.22779	+	5.81905i	0.404949	+	0.557364i	0.961977	−	0.273129i	$-0.0880587\pi$
$109$	4.22779	+	5.81905i	0.404949	+	0.557364i	−0.557029	+	0.830493i	$0.688059\pi$
$110$	8.54873	+	14.6601i	0.815090	+	1.39779i
$111$	8.21357	−	0.675511i	0.779598	−	0.0641166i
$112$	−3.63083	+	13.4282i	−0.343081	+	1.26885i
$113$	2.00267	−	1.45502i	0.188395	−	0.136877i	−0.489590	−	0.871953i	$-0.662853\pi$
$113$	2.00267	−	1.45502i	0.188395	−	0.136877i	0.677985	+	0.735076i	$0.262853\pi$
$114$	−8.36006	+	14.1468i	−0.782991	+	1.32497i
$115$	1.12705	+	5.52468i	0.105098	+	0.515179i
$116$	0.384497	+	0.264902i	0.0356997	+	0.0245955i
$117$	6.67085	+	3.34004i	0.616720	+	0.308787i
$118$	13.3619	+	9.45463i	1.23006	+	0.870370i
$119$	−6.10145	+	18.7783i	−0.559319	+	1.72141i
$120$	3.31518	−	10.4408i	0.302633	−	0.953107i
$121$	−5.50048	−	16.9287i	−0.500044	−	1.53898i
$122$	0.401700	−	1.29109i	0.0363682	−	0.116890i
$123$	0.712151	+	8.65909i	0.0642125	+	0.780764i
$124$	−8.82267	+	3.11299i	−0.792299	+	0.279554i
$125$	−8.88074	−	6.79208i	−0.794318	−	0.607502i
$126$	10.6349	+	10.2268i	0.947429	+	0.911074i
$127$	−4.86237	−	3.53272i	−0.431466	−	0.313478i	0.350769	−	0.936462i	$-0.385920\pi$
$127$	−4.86237	−	3.53272i	−0.431466	−	0.313478i	−0.782235	+	0.622984i	$0.785920\pi$
$128$	7.42574	+	8.53572i	0.656349	+	0.754458i
$129$	−3.66431	+	6.02710i	−0.322624	+	0.530657i
$130$	1.66823	+	7.68487i	0.146313	+	0.674007i
$131$	6.82591	+	2.21787i	0.596383	+	0.193776i	0.591626	−	0.806212i	$-0.298486\pi$
$131$	6.82591	+	2.21787i	0.596383	+	0.193776i	0.00475613	+	0.999989i	$0.498486\pi$
$132$	−9.25678	+	16.1218i	−0.805699	+	1.40322i
$133$	7.20921	−	22.1877i	0.625117	−	1.92391i
$134$	−12.4865	+	0.156357i	−1.07867	+	0.0135072i
$135$	−8.01781	−	8.40920i	−0.690063	−	0.723749i
$136$	9.92042	+	12.6282i	0.850669	+	1.08286i
$137$	−9.28012	+	6.74240i	−0.792854	+	0.576042i	−0.908809	−	0.417212i	$-0.863007\pi$
$137$	−9.28012	+	6.74240i	−0.792854	+	0.576042i	0.115955	+	0.993254i	$0.463007\pi$
$138$	−4.63181	+	4.08622i	−0.394285	+	0.347842i
$139$	10.4099	+	7.56326i	0.882959	+	0.641507i	0.934033	−	0.357188i	$-0.116264\pi$
$139$	10.4099	+	7.56326i	0.882959	+	0.641507i	−0.0510736	+	0.998695i	$0.516264\pi$
$140$	−1.36490	+	15.4923i	−0.115355	+	1.30934i
$141$	−2.10632	−	0.497851i	−0.177384	−	0.0419266i
$142$	12.2257	+	16.3916i	1.02596	+	1.37555i
$143$		−	13.3454i		−	1.11600i
$144$	11.7258	−	2.55082i	0.977146	−	0.212569i
$145$	0.475140	+	0.216231i	0.0394582	+	0.0179570i
$146$	−3.40742	+	10.9517i	−0.282000	+	0.906369i
$147$	−7.53870	−	4.58331i	−0.621782	−	0.378025i
$148$	−2.71313	+	9.12128i	−0.223018	+	0.749764i
$149$	13.0760			1.07123			0.535616	−	0.844462i	$-0.320080\pi$
$149$	13.0760			1.07123			0.535616	+	0.844462i	$0.320080\pi$
$150$	1.60293	−	12.1421i	0.130879	−	0.991398i
$151$		−	6.66328i		−	0.542250i	−0.962544	−	0.271125i	$-0.912604\pi$
$151$		−	6.66328i		−	0.542250i	0.962544	−	0.271125i	$-0.0873957\pi$
$152$	−11.7215	−	14.9210i	−0.950743	−	1.21025i
$153$	16.8041	−	2.78287i	1.35853	−	0.224982i
$154$	7.84099	−	25.2015i	0.631845	−	2.03080i
$155$	−9.10125	+	5.15559i	−0.731030	+	0.414107i
$156$	−6.38801	+	5.77940i	−0.511450	+	0.462722i
$157$	1.80469			0.144030			0.0720150	−	0.997404i	$-0.477057\pi$
$157$	1.80469			0.144030			0.0720150	+	0.997404i	$0.477057\pi$
$158$	14.2403	−	10.6211i	1.13289	−	0.844970i
$159$	22.6269	+	5.34810i	1.79443	+	0.424132i
$160$	9.84650	+	7.94018i	0.778434	+	0.627726i
$161$	5.15437	−	7.09438i	0.406221	−	0.559115i
$162$	3.60984	−	12.2053i	0.283616	−	0.958938i
$163$	−6.77643	−	9.32695i	−0.530771	−	0.730543i	0.456477	−	0.889735i	$-0.349111\pi$
$163$	−6.77643	−	9.32695i	−0.530771	−	0.730543i	−0.987248	+	0.159192i	$0.949111\pi$
$164$	−9.61603	−	2.86029i	−0.750886	−	0.223351i
$165$	−7.02964	+	19.5597i	−0.547257	+	1.52272i
$166$	0.0266107	+	2.12510i	0.00206539	+	0.164940i
$167$	−4.67232	−	1.51813i	−0.361555	−	0.117476i	0.122606	−	0.992455i	$-0.460875\pi$
$167$	−4.67232	−	1.51813i	−0.361555	−	0.117476i	−0.484160	+	0.874979i	$0.660875\pi$
$168$	−15.4588	+	7.16063i	−1.19267	+	0.552455i
$169$	−2.10626	+	6.48239i	−0.162020	+	0.498645i
$170$	13.3945	+	11.9560i	1.02731	+	0.916984i
$171$	−19.8550	+	3.28812i	−1.51835	+	0.251449i
$172$	−4.95088	−	6.46732i	−0.377501	−	0.493129i
$173$	6.50138	−	8.94839i	0.494291	−	0.680333i	−0.486881	−	0.873468i	$-0.661866\pi$
$173$	6.50138	−	8.94839i	0.494291	−	0.680333i	0.981172	+	0.193135i	$0.0618655\pi$
$174$	0.0540053	+	0.569298i	0.00409413	+	0.0431583i
$175$	1.53378	+	17.3203i	0.115943	+	1.30929i
$176$	−13.4712	−	16.7131i	−1.01543	−	1.25980i
$177$	1.64321	+	19.9799i	0.123511	+	1.50178i
$178$	2.26747	−	7.28782i	0.169954	−	0.546245i
$179$	2.82370	−	0.917476i	0.211053	−	0.0685754i	−0.201582	−	0.979472i	$-0.564608\pi$
$179$	2.82370	−	0.917476i	0.211053	−	0.0685754i	0.412636	+	0.910896i	$0.364608\pi$
$180$	12.4069	−	5.10574i	0.924756	−	0.380560i
$181$	−6.47366	−	2.10342i	−0.481184	−	0.156346i	0.0583739	−	0.998295i	$-0.481408\pi$
$181$	−6.47366	−	2.10342i	−0.481184	−	0.156346i	−0.539557	+	0.841949i	$0.681408\pi$
$182$	7.06423	−	9.98361i	0.523636	−	0.740034i
$183$	1.52773	−	0.639113i	0.112933	−	0.0472446i
$184$	−2.45715	−	6.69554i	−0.181143	−	0.493601i
$185$	−1.19883	+	10.5717i	−0.0881400	+	0.777248i
$186$	−9.86468	−	5.82953i	−0.723313	−	0.427442i
$187$	−17.9095	−	24.6504i	−1.30968	−	1.80261i
$188$	1.41790	−	2.05803i	0.103411	−	0.150098i
$189$	−1.22753	+	18.0284i	−0.0892897	+	1.31138i
$190$	−15.8264	−	14.1267i	−1.14817	−	1.02486i
$191$	12.9333	−	9.39658i	0.935819	−	0.679913i	−0.0115913	−	0.999933i	$-0.503690\pi$
$191$	12.9333	−	9.39658i	0.935819	−	0.679913i	0.947411	+	0.320020i	$0.103690\pi$
$192$	−2.16615	+	13.6860i	−0.156328	+	0.987705i
$193$		−	4.83258i		−	0.347856i	−0.984758	−	0.173928i	$-0.944354\pi$
$193$		−	4.83258i		−	0.347856i	0.984758	−	0.173928i	$-0.0556461\pi$
$194$	3.40582	−	2.54023i	0.244524	−	0.182378i
$195$	−5.89880	+	7.61343i	−0.422422	+	0.545209i
$196$	8.08933	−	6.19256i	0.577809	−	0.442326i
$197$	19.3921	−	6.30088i	1.38163	−	0.448919i	0.478426	−	0.878128i	$-0.341207\pi$
$197$	19.3921	−	6.30088i	1.38163	−	0.448919i	0.903205	+	0.429208i	$0.141207\pi$
$198$	−22.4141	+	4.00089i	−1.59290	+	0.284331i
$199$		−	24.2384i		−	1.71821i	−0.511795	−	0.859107i	$-0.671019\pi$
$199$		−	24.2384i		−	1.71821i	0.511795	−	0.859107i	$-0.328981\pi$
$200$	12.3944	+	6.81024i	0.876415	+	0.481557i
$201$	−9.97346	−	11.5946i	−0.703474	−	0.817818i
$202$	−8.55316	+	2.89799i	−0.601798	+	0.203902i
$203$	−0.250883	−	0.772140i	−0.0176086	−	0.0541936i
$204$	−4.04338	+	19.2479i	−0.283093	+	1.34762i
$205$	−11.1451	−	1.26386i	−0.778411	−	0.0882719i
$206$	−7.99689	−	10.7218i	−0.557170	−	0.747027i
$207$	−7.47981	−	1.13079i	−0.519883	−	0.0785950i
$208$	−3.54358	−	9.29447i	−0.245703	−	0.644456i
$209$	21.1611	+	29.1258i	1.46375	+	2.01467i
$210$	−15.6126	+	10.9115i	−1.07737	+	0.752963i
$211$	16.1472	+	11.7316i	1.11162	+	0.807637i	0.982918	−	0.184047i	$-0.0589197\pi$
$211$	16.1472	+	11.7316i	1.11162	+	0.807637i	0.128700	+	0.991684i	$0.458920\pi$
$212$	−15.2316	+	22.1081i	−1.04611	+	1.51839i
$213$	−5.76081	+	24.3730i	−0.394724	+	1.67001i
$214$	−14.2378	+	4.82405i	−0.973274	+	0.329765i
$215$	−6.71701	−	6.14847i	−0.458096	−	0.419322i
$216$	11.6218	+	8.99628i	0.790765	+	0.612119i
$217$	15.4716	+	5.02703i	1.05028	+	0.341257i
$218$	−8.30360	−	5.87549i	−0.562391	−	0.397938i
$219$	−12.9590	+	5.42128i	−0.875686	+	0.366336i
$220$	−18.1034	−	15.7564i	−1.22053	−	1.06230i
$221$	−4.36302	−	13.4280i	−0.293489	−	0.903265i
$222$	−10.6949	+	4.63230i	−0.717792	+	0.310899i
$223$	3.48988	+	2.53555i	0.233700	+	0.169793i	0.698472	−	0.715638i	$-0.253864\pi$
$223$	3.48988	+	2.53555i	0.233700	+	0.169793i	−0.464772	+	0.885430i	$0.653864\pi$
$224$	−1.23083	−	19.6338i	−0.0822380	−	1.31184i
$225$	12.6560	−	8.05150i	0.843731	−	0.536767i
$226$	−2.02209	+	2.85774i	−0.134507	+	0.190094i
$227$	5.85471	+	4.25369i	0.388591	+	0.282328i	0.764878	−	0.644176i	$-0.222799\pi$
$227$	5.85471	+	4.25369i	0.388591	+	0.282328i	−0.376287	+	0.926503i	$0.622799\pi$
$228$	4.77748	−	22.7425i	0.316397	−	1.50616i
$229$	7.87646	−	2.55922i	0.520491	−	0.169118i	−0.0369769	−	0.999316i	$-0.511773\pi$
$229$	7.87646	−	2.55922i	0.520491	−	0.169118i	0.557468	+	0.830198i	$0.311773\pi$
$230$	−4.01682	−	6.88839i	−0.264861	−	0.454207i
$231$	29.8206	−	12.4752i	1.96205	−	0.820808i
$232$	−0.635221	−	0.180321i	−0.0417043	−	0.0118387i
$233$	−2.04825	+	6.30387i	−0.134186	+	0.412981i	−0.995462	−	0.0951553i	$-0.969665\pi$
$233$	−2.04825	+	6.30387i	−0.134186	+	0.412981i	0.861277	+	0.508136i	$0.169665\pi$
$234$	−10.4509	−	1.44634i	−0.683194	−	0.0945501i
$235$	1.15738	−	2.54320i	0.0754992	−	0.165900i
$236$	−22.1879	−	6.59980i	−1.44431	−	0.429610i
$237$	21.1741	+	5.00472i	1.37541	+	0.325091i
$238$	−0.349630	−	27.9210i	−0.0226631	−	1.80985i
$239$	−1.47089	−	1.06866i	−0.0951437	−	0.0691259i	0.539196	−	0.842180i	$-0.318728\pi$
$239$	−1.47089	−	1.06866i	−0.0951437	−	0.0691259i	−0.634340	+	0.773054i	$0.718728\pi$
$240$	0.297839	+	15.4891i	0.0192254	+	0.999815i
$241$	−4.94510	+	3.59283i	−0.318542	+	0.231434i	−0.735553	−	0.677467i	$-0.763078\pi$
$241$	−4.94510	+	3.59283i	−0.318542	+	0.231434i	0.417011	+	0.908901i	$0.363078\pi$
$242$	15.0501	+	20.1784i	0.967457	+	1.29712i
$243$	14.2947	−	6.21789i	0.917004	−	0.398878i
$244$	0.0478824	+	1.91161i	0.00306536	+	0.122379i
$245$	7.69051	−	8.40163i	0.491329	−	0.536760i
$246$	−4.88356	−	11.2750i	−0.311364	−	0.718865i
$247$	5.15516	+	15.8660i	0.328015	+	1.00953i
$248$	10.4045	−	8.17352i	0.660687	−	0.519019i
$249$	−1.97331	+	1.69741i	−0.125053	+	0.107569i
$250$	14.9774	+	5.06717i	0.947257	+	0.320476i
$251$		−	15.9336i		−	1.00572i	−0.864369	−	0.502858i	$-0.832282\pi$
$251$		−	15.9336i		−	1.00572i	0.864369	−	0.502858i	$-0.167718\pi$
$252$	−18.8857	−	8.87161i	−1.18969	−	0.558859i
$253$	4.18172	+	12.8700i	0.262902	+	0.809130i
$254$	8.11598	+	2.52514i	0.509242	+	0.158441i
$255$	−0.678471	+	21.9790i	−0.0424875	+	1.37638i
$256$	−13.8199	−	8.06294i	−0.863742	−	0.503934i
$257$	6.08373			0.379493			0.189746	−	0.981833i	$-0.439233\pi$
$257$	6.08373			0.379493			0.189746	+	0.981833i	$0.439233\pi$
$258$	2.17281	−	9.73577i	0.135273	−	0.606122i
$259$	13.3867	−	9.72600i	0.831809	−	0.604344i
$260$	−5.72202	−	9.53618i	−0.354865	−	0.591409i
$261$	−0.491742	+	0.498713i	−0.0304381	+	0.0308695i
$262$	−10.1493	+	0.127090i	−0.627025	+	0.00785167i
$263$	8.91891	+	12.2758i	0.549964	+	0.756960i	0.990007	−	0.141016i	$-0.0450370\pi$
$263$	8.91891	+	12.2758i	0.549964	+	0.756960i	−0.440044	+	0.897976i	$0.645037\pi$
$264$	5.08229	−	25.7947i	0.312793	−	1.58756i
$265$	−12.4330	+	27.3200i	−0.763754	+	1.67826i
$266$	0.413108	+	32.9903i	0.0253293	+	2.02276i
$267$	8.62356	−	3.60760i	0.527753	−	0.220781i
$268$	16.6536	−	5.87606i	1.01728	−	0.358938i
$269$	−0.306163	+	0.942272i	−0.0186671	+	0.0574514i	−0.959956	−	0.280150i	$-0.909616\pi$
$269$	−0.306163	+	0.942272i	−0.0186671	+	0.0574514i	0.941289	+	0.337602i	$0.109616\pi$
$270$	14.5555	+	7.62479i	0.885820	+	0.464030i
$271$	−0.449106	+	0.145923i	−0.0272812	+	0.00886421i	−0.322626	−	0.946527i	$-0.604566\pi$
$271$	−0.449106	+	0.145923i	−0.0272812	+	0.00886421i	0.295345	+	0.955391i	$0.404566\pi$
$272$	−19.0186	−	12.4124i	−1.15317	−	0.752612i
$273$	14.9284	−	1.22776i	0.903506	−	0.0743073i
$274$	9.37012	−	13.2424i	0.566069	−	0.800004i
$275$	−23.0148	−	13.7956i	−1.38784	−	0.831905i
$276$	4.34951	−	7.57518i	0.261810	−	0.455972i
$277$	13.7533	+	9.99238i	0.826357	+	0.600384i	0.918526	−	0.395360i	$-0.129380\pi$
$277$	13.7533	+	9.99238i	0.826357	+	0.600384i	−0.0921692	+	0.995743i	$0.529380\pi$
$278$	−17.3756	−	5.40611i	−1.04212	−	0.324237i
$279$	−2.29283	−	13.8451i	−0.137268	−	0.828883i
$280$	−5.20259	−	21.3701i	−0.310914	−	1.27711i
$281$	−27.8287	−	9.04209i	−1.66012	−	0.539406i	−0.679223	−	0.733932i	$-0.737683\pi$
$281$	−27.8287	−	9.04209i	−1.66012	−	0.539406i	−0.980897	+	0.194526i	$0.937683\pi$
$282$	3.04719	−	0.289065i	0.181457	−	0.0172136i
$283$	13.0110	+	4.22753i	0.773424	+	0.251301i	0.669030	−	0.743235i	$-0.266710\pi$
$283$	13.0110	+	4.22753i	0.773424	+	0.251301i	0.104394	+	0.994536i	$0.466710\pi$
$284$	−23.8142	−	16.4070i	−1.41311	−	0.973575i
$285$	0.801652	−	25.9695i	0.0474858	−	1.53830i
$286$	6.05644	+	17.8751i	0.358125	+	1.05697i
$287$	10.2536	+	14.1128i	0.605248	+	0.833053i
$288$	−14.5481	+	8.73804i	−0.857254	+	0.514894i
$289$	−12.3261	−	8.95544i	−0.725065	−	0.526791i
$290$	−0.734542	−	0.0739941i	−0.0431338	−	0.00434508i
$291$	5.06418	+	1.19697i	0.296867	+	0.0701677i
$292$	−0.406163	−	16.2153i	−0.0237689	−	0.948927i
$293$		−	23.2071i		−	1.35577i	−0.735167	−	0.677886i	$-0.762896\pi$
$293$		−	23.2071i		−	1.35577i	0.735167	−	0.677886i	$-0.237104\pi$
$294$	12.1775	+	2.71775i	0.710206	+	0.158502i
$295$	−25.7161	−	2.91621i	−1.49725	−	0.169789i
$296$	−0.505422	−	13.4485i	−0.0293770	−	0.781678i
$297$	−21.3943	−	17.8853i	−1.24142	−	1.03781i
$298$	−17.5143	+	5.93420i	−1.01458	+	0.343759i
$299$			6.27064i			0.362640i
$300$	3.36336	+	16.9908i	0.194184	+	0.980965i
$301$			14.1622i			0.816294i
$302$	3.02395	+	8.92493i	0.174009	+	0.513572i
$303$	−9.45081	−	5.74582i	−0.542935	−	0.330089i
$304$	22.4715	+	14.6660i	1.28883	+	0.841150i
$305$	0.427340	+	2.09478i	0.0244694	+	0.119947i
$306$	−21.2449	+	11.3535i	−1.21449	+	0.649038i
$307$		−	13.7426i		−	0.784329i	−0.919895	−	0.392165i	$-0.871726\pi$
$307$		−	13.7426i		−	0.784329i	0.919895	−	0.392165i	$-0.128274\pi$
$308$	0.934642	+	37.3138i	0.0532562	+	2.12615i
$309$	3.76818	−	15.9425i	0.214364	−	0.906937i
$310$	9.85066	−	11.0359i	0.559480	−	0.626794i
$311$	12.9403	+	9.40166i	0.733776	+	0.533119i	0.890756	−	0.454483i	$-0.150176\pi$
$311$	12.9403	+	9.40166i	0.733776	+	0.533119i	−0.156980	+	0.987602i	$0.550176\pi$
$312$	5.93341	−	10.6401i	0.335913	−	0.602375i
$313$	−1.43954	−	1.98135i	−0.0813675	−	0.111993i	0.766393	−	0.642372i	$-0.222050\pi$
$313$	−1.43954	−	1.98135i	−0.0813675	−	0.111993i	−0.847761	+	0.530379i	$0.822050\pi$
$314$	−2.41724	+	0.819009i	−0.136413	+	0.0462194i
$315$	−22.5266	−	6.06401i	−1.26923	−	0.341668i
$316$	−14.2536	+	20.6887i	−0.801827	+	1.16383i
$317$	−5.39367	−	1.75251i	−0.302939	−	0.0984308i	0.153603	−	0.988133i	$-0.450912\pi$
$317$	−5.39367	−	1.75251i	−0.302939	−	0.0984308i	−0.456542	+	0.889702i	$0.650912\pi$
$318$	−32.7340	+	3.10524i	−1.83563	+	0.174133i
$319$	1.19155	+	0.387157i	0.0667138	+	0.0216766i
$320$	−16.7920	−	6.16667i	−0.938703	−	0.344727i
$321$	−15.7320	−	9.56462i	−0.878076	−	0.533845i
$322$	−3.68427	+	11.8415i	−0.205316	+	0.659902i
$323$	30.8143	+	22.3879i	1.71455	+	1.24570i
$324$	0.703941	+	17.9862i	0.0391078	+	0.999235i
$325$	−8.16725	−	9.37531i	−0.453037	−	0.520048i
$326$	13.3093	+	9.41741i	0.737132	+	0.521582i
$327$	−1.02115	−	12.4163i	−0.0564700	−	0.686622i
$328$	14.1780	−	0.532837i	0.782847	−	0.0294210i
$329$	−4.13291	+	1.34286i	−0.227854	+	0.0740344i
$330$	0.538987	−	29.3889i	0.0296703	−	1.61781i
$331$	−8.39039	+	25.8230i	−0.461178	+	1.41936i	0.402549	+	0.915398i	$0.368124\pi$
$331$	−8.39039	+	25.8230i	−0.461178	+	1.41936i	−0.863727	+	0.503961i	$0.831876\pi$
$332$	−1.00006	−	2.83432i	−0.0548855	−	0.155554i
$333$	−12.7638	−	6.39076i	−0.699454	−	0.350211i
$334$	6.94715	−	0.0869930i	0.380131	−	0.00476004i
$335$	17.1795	−	9.73167i	0.938615	−	0.531698i
$336$	17.4562	−	16.6067i	0.952314	−	0.905967i
$337$	−2.00881	−	2.76489i	−0.109427	−	0.150613i	0.750791	−	0.660540i	$-0.229672\pi$
$337$	−2.00881	−	2.76489i	−0.109427	−	0.150613i	−0.860218	+	0.509927i	$0.829672\pi$
$338$	−0.120694	−	9.63850i	−0.00656491	−	0.524265i
$339$	−4.27315	+	0.351437i	−0.232085	+	0.0190875i
$340$	−23.3668	−	9.93539i	−1.26724	−	0.538822i
$341$	−20.3097	+	14.7558i	−1.09983	+	0.799073i
$342$	25.1020	−	13.4148i	1.35736	−	0.725392i
$343$	6.62920			0.357943
$344$	9.56632	+	6.41564i	0.515782	+	0.345908i
$345$	3.30304	−	9.19059i	0.177830	−	0.494805i
$346$	−4.64710	+	14.9361i	−0.249830	+	0.802971i
$347$	−6.27265	−	19.3052i	−0.336734	−	1.03636i	−0.965862	−	0.259058i	$-0.916588\pi$
$347$	−6.27265	−	19.3052i	−0.336734	−	1.03636i	0.629128	−	0.777302i	$-0.283412\pi$
$348$	−0.330696	−	0.738020i	−0.0177272	−	0.0395620i
$349$			30.7014i			1.64341i	0.569915	+	0.821703i	$0.306976\pi$
$349$			30.7014i			1.64341i	−0.569915	+	0.821703i	$0.693024\pi$
$350$	−9.91470	−	22.5030i	−0.529963	−	1.20284i
$351$	−6.86745	−	10.9456i	−0.366558	−	0.584234i
$352$	25.6283	+	16.2723i	1.36599	+	0.867316i
$353$	−4.63398	−	14.2619i	−0.246642	−	0.759086i	−0.995362	−	0.0961994i	$-0.969331\pi$
$353$	−4.63398	−	14.2619i	−0.246642	−	0.759086i	0.748720	−	0.662886i	$-0.230669\pi$
$354$	−11.2683	−	26.0157i	−0.598901	−	1.38272i
$355$	−29.4283	−	13.3925i	−1.56189	−	0.710798i
$356$	0.270281	+	10.7905i	0.0143249	+	0.571894i
$357$	25.9267	−	22.3017i	1.37218	−	1.18033i
$358$	−3.36575	+	2.51034i	−0.177885	+	0.132676i
$359$	−9.11986	+	6.62597i	−0.481328	+	0.349705i	−0.801840	−	0.597539i	$-0.796145\pi$
$359$	−9.11986	+	6.62597i	−0.481328	+	0.349705i	0.320512	+	0.947245i	$0.396145\pi$
$360$	−14.3010	+	12.4693i	−0.753726	+	0.657188i
$361$	−21.0375	−	15.2846i	−1.10724	−	0.804455i
$362$	9.62553	−	0.120532i	0.505907	−	0.00633502i
$363$	−7.09168	+	30.0037i	−0.372217	+	1.57479i
$364$	−4.93118	+	16.5782i	−0.258464	+	0.868931i
$365$	−3.62492	−	17.7689i	−0.189737	−	0.930069i
$366$	−1.75623	+	1.54936i	−0.0917994	+	0.0809863i
$367$	5.32460	−	16.3874i	0.277942	−	0.855418i	−0.710484	−	0.703714i	$-0.751524\pi$
$367$	5.32460	−	16.3874i	0.277942	−	0.855418i	0.988426	−	0.151704i	$-0.0484762\pi$
$368$	6.32974	+	7.85302i	0.329960	+	0.409367i
$369$	6.73740	−	13.4562i	0.350735	−	0.700500i
$370$	−3.19194	−	14.7040i	−0.165941	−	0.764426i
$371$	44.3972	−	14.4255i	2.30499	−	0.748935i
$372$	15.8585	+	3.33138i	0.822226	+	0.172724i
$373$	−4.13494	−	3.00421i	−0.214099	−	0.155552i	0.475567	−	0.879679i	$-0.342243\pi$
$373$	−4.13494	−	3.00421i	−0.214099	−	0.155552i	−0.689666	+	0.724127i	$0.742243\pi$
$374$	35.1753	+	24.8894i	1.81887	+	1.28700i
$375$	7.03196	+	18.0430i	0.363129	+	0.931739i
$376$	−0.965175	+	3.40005i	−0.0497751	+	0.175344i
$377$	0.469680	+	0.341242i	0.0241898	+	0.0175749i
$378$	−6.53753	−	24.7047i	−0.336254	−	1.27067i
$379$	−5.27129	−	16.2234i	−0.270768	−	0.833338i	−0.990308	−	0.138887i	$-0.955647\pi$
$379$	−5.27129	−	16.2234i	−0.270768	−	0.833338i	0.719540	−	0.694451i	$-0.244353\pi$
$380$	27.6092	+	11.7392i	1.41632	+	0.602210i
$381$	4.01755	+	9.60352i	0.205826	+	0.492003i
$382$	−13.0587	+	18.4554i	−0.668142	+	0.944259i
$383$	−1.55351	−	0.504766i	−0.0793806	−	0.0257923i	0.269057	−	0.963124i	$-0.413288\pi$
$383$	−1.55351	−	0.504766i	−0.0793806	−	0.0257923i	−0.348438	+	0.937332i	$0.613288\pi$
$384$	−3.30966	−	19.3144i	−0.168895	−	0.985634i
$385$	8.34149	+	40.8891i	0.425122	+	2.08390i
$386$	2.19313	+	6.47285i	0.111627	+	0.329459i
$387$	10.8463	−	5.62295i	0.551347	−	0.285831i
$388$	−3.40901	+	4.94808i	−0.173066	+	0.251201i
$389$	−27.7812	−	20.1842i	−1.40856	−	1.02338i	−0.993530	−	0.113571i	$-0.963771\pi$
$389$	−27.7812	−	20.1842i	−1.40856	−	1.02338i	−0.415030	−	0.909808i	$-0.636229\pi$
$390$	4.44582	−	12.8746i	0.225123	−	0.651930i
$391$	8.41521	+	11.5825i	0.425575	+	0.585754i
$392$	−8.02468	+	11.9656i	−0.405308	+	0.604352i
$393$	−8.10666	−	9.42433i	−0.408927	−	0.475395i
$394$	−23.1147	+	17.2401i	−1.16450	+	0.868544i
$395$	−11.6347	+	25.5659i	−0.585407	+	1.28636i
$396$	28.2062	−	15.5309i	1.41741	−	0.780457i
$397$	0.434114	+	1.33607i	0.0217876	+	0.0670552i	0.961359	−	0.275297i	$-0.0887763\pi$
$397$	0.434114	+	1.33607i	0.0217876	+	0.0670552i	−0.939572	+	0.342353i	$0.888776\pi$
$398$	10.9999	+	32.4654i	0.551377	+	1.62734i
$399$	−30.6338	+	26.3507i	−1.53361	+	1.31919i
$400$	−19.6919	−	3.49693i	−0.984596	−	0.174846i
$401$		−	14.6844i		−	0.733305i	−0.930358	−	0.366653i	$-0.880504\pi$
$401$		−	14.6844i		−	0.733305i	0.930358	−	0.366653i	$-0.119496\pi$
$402$	18.6205	+	11.0038i	0.928708	+	0.548820i
$403$	−11.0635	+	3.59473i	−0.551110	+	0.179066i
$404$	10.1411	−	7.76324i	0.504539	−	0.386236i
$405$	4.29976	+	19.6599i	0.213657	+	0.976909i
$406$	0.686453	+	0.920363i	0.0340681	+	0.0456768i
$407$			25.5347i			1.26571i
$408$	−3.31935	−	27.6160i	−0.164333	−	1.36720i
$409$	12.8144	−	9.31021i	0.633632	−	0.460360i	−0.224025	−	0.974583i	$-0.571920\pi$
$409$	12.8144	−	9.31021i	0.633632	−	0.460360i	0.857657	+	0.514223i	$0.171920\pi$
$410$	15.5016	−	3.36508i	0.765569	−	0.166189i
$411$	19.8012	−	1.62852i	0.976724	−	0.0803289i
$412$	15.5770	+	10.7319i	0.767424	+	0.528722i
$413$	23.6589	+	32.5637i	1.16418	+	1.60235i
$414$	10.5318	−	1.87991i	0.517609	−	0.0923926i
$415$	−1.65626	−	2.92382i	−0.0813025	−	0.143525i
$416$	8.96439	+	10.8410i	0.439515	+	0.531526i
$417$	−8.60125	−	20.5603i	−0.421205	−	1.00684i
$418$	−41.5616	−	29.4083i	−2.03284	−	1.43841i
$419$	2.53244	+	0.822839i	0.123718	+	0.0401983i	0.370222	−	0.928943i	$-0.379282\pi$
$419$	2.53244	+	0.822839i	0.123718	+	0.0401983i	−0.246504	+	0.969142i	$0.579282\pi$
$420$	15.9599	−	21.7004i	0.778764	−	1.05887i
$421$	−6.45147	+	2.09621i	−0.314425	+	0.102163i	−0.461978	−	0.886891i	$-0.652860\pi$
$421$	−6.45147	+	2.09621i	−0.314425	+	0.102163i	0.147553	+	0.989054i	$0.452860\pi$
$422$	−26.9519	−	8.38559i	−1.31200	−	0.408204i
$423$	2.66938	+	2.63207i	0.129790	+	0.127976i
$424$	10.3683	−	36.5245i	0.503527	−	1.77379i
$425$	−27.6675	−	6.35674i	−1.34207	−	0.308347i
$426$	−3.34488	−	35.2601i	−0.162060	−	1.70836i
$427$	1.95437	−	2.68995i	0.0945784	−	0.130176i
$428$	16.8811	−	12.9229i	0.815979	−	0.624650i
$429$	−12.0081	+	19.7510i	−0.579755	+	0.953590i
$430$	11.7872	+	5.18706i	0.568429	+	0.250142i
$431$	−9.53950	+	29.3596i	−0.459502	+	1.41420i	0.406266	+	0.913755i	$0.366831\pi$
$431$	−9.53950	+	29.3596i	−0.459502	+	1.41420i	−0.865768	+	0.500446i	$0.833169\pi$
$432$	−19.6492	−	6.77554i	−0.945374	−	0.325988i
$433$	24.4764	+	7.95286i	1.17626	+	0.382190i	0.830976	−	0.556308i	$-0.187783\pi$
$433$	24.4764	+	7.95286i	1.17626	+	0.382190i	0.345284	+	0.938498i	$0.387783\pi$
$434$	−23.0044	+	0.288063i	−1.10425	+	0.0138275i
$435$	−0.508641	−	0.747547i	−0.0243875	−	0.0358421i
$436$	13.7884	+	4.10138i	0.660346	+	0.196420i
$437$	−9.94305	−	13.6854i	−0.475641	−	0.654663i
$438$	14.8972	−	13.1424i	0.711816	−	0.627970i
$439$	17.4467	−	24.0133i	0.832686	−	1.14609i	−0.154731	−	0.987957i	$-0.549451\pi$
$439$	17.4467	−	24.0133i	0.832686	−	1.14609i	0.987417	−	0.158138i	$-0.0505490\pi$
$440$	31.3987	+	12.8887i	1.49687	+	0.614445i
$441$	7.03319	+	13.5665i	0.334914	+	0.646025i
$442$	11.9379	+	16.0057i	0.567826	+	0.761313i
$443$	5.13426			0.243936			0.121968	−	0.992534i	$-0.461079\pi$
$443$	5.13426			0.243936			0.121968	+	0.992534i	$0.461079\pi$
$444$	12.2227	−	11.0582i	0.580062	−	0.524797i
$445$	2.41220	+	11.8244i	0.114349	+	0.560529i
$446$	−5.82510	−	1.81237i	−0.275827	−	0.0858184i
$447$	−19.3524	−	11.7657i	−0.915339	−	0.556499i
$448$	10.5588	+	25.7393i	0.498858	+	1.21607i
$449$			3.23593i			0.152713i	0.997081	+	0.0763564i	$0.0243287\pi$
$449$			3.23593i			0.152713i	−0.997081	+	0.0763564i	$0.975671\pi$
$450$	−13.2977	+	16.5279i	−0.626859	+	0.779133i
$451$	−26.9198			−1.26760
$452$	1.41152	−	4.74538i	0.0663922	−	0.223204i
$453$	−5.99557	+	9.86160i	−0.281696	+	0.463338i
$454$	−9.77233	−	3.04048i	−0.458638	−	0.142697i
$455$	−2.17891	+	19.2144i	−0.102149	+	0.900783i
$456$	3.92201	+	32.6299i	0.183665	+	1.52803i
$457$		−	16.9772i		−	0.794159i	−0.917784	−	0.397080i	$-0.870024\pi$
$457$		−	16.9772i		−	0.794159i	0.917784	−	0.397080i	$-0.129976\pi$
$458$	−9.38846	+	7.00239i	−0.438694	+	0.327200i
$459$	−27.3740	−	11.0016i	−1.27771	−	0.513510i
$460$	8.50631	+	7.40352i	0.396609	+	0.345191i
$461$	15.8170	+	11.4917i	0.736671	+	0.535223i	0.891667	−	0.452692i	$-0.149536\pi$
$461$	15.8170	+	11.4917i	0.736671	+	0.535223i	−0.154995	+	0.987915i	$0.549536\pi$
$462$	−34.2807	+	30.2428i	−1.59488	+	1.40702i
$463$	17.4557	−	12.6823i	0.811234	−	0.589396i	−0.102954	−	0.994686i	$-0.532830\pi$
$463$	17.4557	−	12.6823i	0.811234	−	0.589396i	0.914188	+	0.405290i	$0.132830\pi$
$464$	0.932662	−	0.0467522i	0.0432977	−	0.00217042i
$465$	18.1087	+	0.558998i	0.839772	+	0.0259229i
$466$	−0.117371	−	9.37308i	−0.00543709	−	0.434199i
$467$	−7.79542	+	23.9918i	−0.360729	+	1.11021i	0.591884	+	0.806023i	$0.298385\pi$
$467$	−7.79542	+	23.9918i	−0.360729	+	1.11021i	−0.952613	+	0.304186i	$0.901615\pi$
$468$	14.6545	−	2.80558i	0.677403	−	0.129688i
$469$	−29.2042	−	9.48901i	−1.34852	−	0.438162i
$470$	−0.396056	+	3.93166i	−0.0182687	+	0.181354i
$471$	−2.67093	−	1.62385i	−0.123070	−	0.0748228i
$472$	32.7140	−	1.22946i	1.50579	−	0.0565905i
$473$	−17.6808	−	12.8459i	−0.812966	−	0.590654i
$474$	−30.6323	+	2.90587i	−1.40699	+	0.133471i
$475$	32.6907	+	7.51085i	1.49995	+	0.344621i
$476$	13.1395	+	37.2393i	0.602248	+	1.70686i
$477$	−28.6754	−	28.2746i	−1.31296	−	1.29461i
$478$	2.45512	+	0.763864i	0.112294	+	0.0349383i
$479$	−8.92508	−	27.4686i	−0.407797	−	1.25507i	−0.918537	−	0.395335i	$-0.870628\pi$
$479$	−8.92508	−	27.4686i	−0.407797	−	1.25507i	0.510740	−	0.859735i	$-0.329372\pi$
$480$	−7.42822	−	20.6112i	−0.339050	−	0.940768i
$481$	−3.65639	+	11.2532i	−0.166717	+	0.513103i
$482$	4.99306	−	7.05651i	0.227428	−	0.321415i
$483$	−14.0119	+	5.86176i	−0.637563	+	0.266719i
$484$	−29.3158	−	20.1973i	−1.33254	−	0.918061i
$485$	−2.78266	+	6.11456i	−0.126354	+	0.277648i
$486$	−16.3248	+	14.8156i	−0.740506	+	0.672050i
$487$	−16.8093	+	12.2127i	−0.761704	+	0.553411i	−0.899433	−	0.437060i	$-0.856020\pi$
$487$	−16.8093	+	12.2127i	−0.761704	+	0.553411i	0.137728	+	0.990470i	$0.456020\pi$
$488$	−0.931669	−	2.53872i	−0.0421747	−	0.114923i
$489$	1.63674	+	19.9012i	0.0740158	+	0.899962i
$490$	−6.48797	+	14.7434i	−0.293097	+	0.666041i
$491$	2.40482	+	3.30995i	0.108528	+	0.149376i	0.859826	−	0.510587i	$-0.170572\pi$
$491$	2.40482	+	3.30995i	0.108528	+	0.149376i	−0.751298	+	0.659963i	$0.770572\pi$
$492$	11.6580	+	12.8856i	0.525582	+	0.580929i
$493$	1.32550			0.0596974
$494$	−14.1053	−	18.9116i	−0.634625	−	0.850875i
$495$	28.0035	−	22.6230i	1.25866	−	1.01683i
$496$	−10.2267	+	15.6696i	−0.459192	+	0.703585i
$497$	15.5387	+	47.8233i	0.697007	+	2.14517i
$498$	1.87276	−	3.16907i	0.0839206	−	0.142010i
$499$	26.3566			1.17988			0.589941	−	0.807447i	$-0.299151\pi$
$499$	26.3566			1.17988			0.589941	+	0.807447i	$0.299151\pi$
$500$	−22.3607	+	0.0100381i	−1.00000	+	0.000448916i
$501$	5.54899	+	6.45093i	0.247910	+	0.288206i
$502$	7.23101	+	21.3417i	0.322736	+	0.952527i
$503$	18.6972	−	6.07509i	0.833667	−	0.270875i	0.139078	−	0.990281i	$-0.455586\pi$
$503$	18.6972	−	6.07509i	0.833667	−	0.270875i	0.694589	+	0.719407i	$0.255586\pi$
$504$	29.3220	+	3.31205i	1.30611	+	0.147531i
$505$	9.64113	−	10.5326i	0.429024	−	0.468695i
$506$	−11.4418	−	15.3406i	−0.508649	−	0.681971i
$507$	8.95004	−	7.69869i	0.397485	−	0.341911i
$508$	−12.0167	+	0.300995i	−0.533154	+	0.0133545i
$509$	27.1563	−	19.7302i	1.20368	−	0.874526i	0.209040	−	0.977907i	$-0.432966\pi$
$509$	27.1563	−	19.7302i	1.20368	−	0.874526i	0.994642	+	0.103381i	$0.0329662\pi$
$510$	−9.06583	−	29.7471i	−0.401442	−	1.31722i
$511$	−16.5779	+	22.8175i	−0.733363	+	1.00939i
$512$	22.1698	+	4.52788i	0.979774	+	0.200106i
$513$	32.3439	+	12.9990i	1.42802	+	0.573920i
$514$	−8.14867	+	2.76094i	−0.359423	+	0.121780i
$515$	19.2492	+	8.76008i	0.848221	+	0.386015i
$516$	1.50801	+	14.0263i	0.0663865	+	0.617475i
$517$	2.07227	−	6.37780i	0.0911384	−	0.280495i
$518$	−13.5165	+	19.1024i	−0.593882	+	0.839310i
$519$	−17.6737	+	7.39364i	−0.775788	+	0.324545i
$520$	11.9919	+	10.1762i	0.525881	+	0.446254i
$521$	−11.3177	+	3.67734i	−0.495837	+	0.161107i	−0.546252	−	0.837621i	$-0.683946\pi$
$521$	−11.3177	+	3.67734i	−0.495837	+	0.161107i	0.0504144	+	0.998728i	$0.483946\pi$
$522$	0.432322	−	0.891149i	0.0189222	−	0.0390045i
$523$	5.45532	−	7.50860i	0.238544	−	0.328328i	−0.672914	−	0.739721i	$-0.734958\pi$
$523$	5.45532	−	7.50860i	0.238544	−	0.328328i	0.911458	+	0.411393i	$0.134958\pi$
$524$	13.5365	−	4.77620i	0.591343	−	0.208649i
$525$	13.3146	−	27.0139i	0.581099	−	1.17898i
$526$	−17.5172	−	12.3949i	−0.763787	−	0.540443i
$527$	−15.6113	+	21.4870i	−0.680037	+	0.935990i
$528$	4.89892	+	36.8564i	0.213198	+	1.60397i
$529$	5.14252	+	15.8270i	0.223588	+	0.688132i
$530$	4.25458	−	42.2353i	0.184807	−	1.83459i
$531$	15.5458	−	31.0486i	0.674629	−	1.34739i
$532$	−15.5251	−	44.0003i	−0.673097	−	1.90766i
$533$	−11.8636	−	3.85472i	−0.513870	−	0.166967i
$534$	−9.91336	+	8.74566i	−0.428993	+	0.378462i
$535$	16.0488	−	17.5328i	0.693851	−	0.758010i
$536$	−19.6395	+	15.4283i	−0.848298	+	0.666402i
$537$	−5.00459	−	1.18289i	−0.215964	−	0.0510453i
$538$	−0.0175440	−	1.40104i	−0.000756375	−	0.0604032i
$539$	16.0676	−	22.1152i	0.692082	−	0.952569i
$540$	−22.9562	−	3.60718i	−0.987879	−	0.155228i
$541$	−23.9908	−	33.0205i	−1.03144	−	1.41966i	−0.903857	−	0.427834i	$-0.859277\pi$
$541$	−23.9908	−	33.0205i	−1.03144	−	1.41966i	−0.127587	−	0.991827i	$-0.540723\pi$
$542$	0.535318	−	0.399267i	0.0229939	−	0.0171500i
$543$	7.68832	+	8.93799i	0.329938	+	0.383566i
$544$	31.1069	+	7.99434i	1.33370	+	0.342755i
$545$	15.9810	+	1.81225i	0.684552	+	0.0776283i
$546$	−19.4382	+	8.41932i	−0.831877	+	0.360313i
$547$	−31.7552	+	10.3179i	−1.35775	+	0.441161i	−0.895293	−	0.445478i	$-0.853034\pi$
$547$	−31.7552	+	10.3179i	−1.35775	+	0.441161i	−0.462461	+	0.886639i	$0.653034\pi$
$548$	−6.54080	+	21.9895i	−0.279409	+	0.939347i
$549$	−2.83610	−	0.428756i	−0.121042	−	0.0182989i
$550$	37.0872	+	8.03344i	1.58140	+	0.342547i
$551$	−1.56615			−0.0667203
$552$	−2.38803	+	12.1203i	−0.101641	+	0.515872i
$553$	41.5466	−	13.4993i	1.76674	−	0.574049i
$554$	−22.9562	−	7.14241i	−0.975317	−	0.303452i
$555$	11.2866	−	14.5674i	0.479090	−	0.618350i
$556$	25.7267	−	0.644406i	1.09106	−	0.0273289i
$557$		−	39.0855i		−	1.65610i	−0.560651	−	0.828052i	$-0.689449\pi$
$557$		−	39.0855i		−	1.65610i	0.560651	−	0.828052i	$-0.310551\pi$
$558$	9.35427	+	17.5038i	0.395998	+	0.740996i
$559$	−5.95256	−	8.19299i	−0.251766	−	0.346527i
$560$	16.6667	+	26.2625i	0.704297	+	1.10979i
$561$	4.32576	+	52.5972i	0.182634	+	2.22065i
$562$	41.3778	−	0.518137i	1.74542	−	0.0218563i
$563$	10.9576	−	7.96115i	0.461807	−	0.335522i	−0.332433	−	0.943127i	$-0.607869\pi$
$563$	10.9576	−	7.96115i	0.461807	−	0.335522i	0.794240	+	0.607605i	$0.207869\pi$
$564$	−3.95028	+	1.77006i	−0.166337	+	0.0745330i
$565$	0.623699	−	5.49998i	0.0262392	−	0.231386i
$566$	−19.3457	+	0.242249i	−0.813162	+	0.0101825i
$567$	18.0386	−	25.5774i	0.757549	−	1.07415i
$568$	39.3431	+	11.1684i	1.65080	+	0.468615i
$569$	−7.52316	−	2.44442i	−0.315387	−	0.102476i	0.147046	−	0.989130i	$-0.453023\pi$
$569$	−7.52316	−	2.44442i	−0.315387	−	0.102476i	−0.462433	+	0.886654i	$0.653023\pi$
$570$	10.7118	+	35.1479i	0.448668	+	1.47218i
$571$	5.30376	+	16.3233i	0.221955	+	0.683109i	0.998586	+	0.0531527i	$0.0169270\pi$
$571$	5.30376	+	16.3233i	0.221955	+	0.683109i	−0.776631	+	0.629956i	$0.783073\pi$
$572$	−16.2242	−	21.1937i	−0.678369	−	0.886152i
$573$	−27.5961	+	2.26959i	−1.15284	+	0.0948136i
$574$	−20.1385	−	14.2497i	−0.840566	−	0.594770i
$575$	10.8140	+	6.48217i	0.450976	+	0.270325i
$576$	15.5205	−	18.3061i	0.646686	−	0.762756i
$577$	−7.57673	+	10.4285i	−0.315423	+	0.434143i	−0.937063	−	0.349160i	$-0.886467\pi$
$577$	−7.57673	+	10.4285i	−0.315423	+	0.434143i	0.621640	+	0.783303i	$0.286467\pi$
$578$	20.5740	+	6.40123i	0.855766	+	0.266256i
$579$	−4.34831	+	7.15217i	−0.180710	+	0.297234i
$580$	1.01744	−	0.234243i	0.0422469	−	0.00972640i
$581$	−1.61496	+	4.97033i	−0.0669998	+	0.206204i
$582$	−7.32627	+	0.694992i	−0.303684	+	0.0288084i
$583$	−22.2611	+	68.5126i	−0.921960	+	2.83750i
$584$	7.90288	+	21.5347i	0.327024	+	0.891114i
$585$	15.5807	−	5.96013i	0.644182	−	0.246421i
$586$	10.5319	+	31.0840i	0.435069	+	1.28407i
$587$	−16.8947	+	12.2747i	−0.697320	+	0.506633i	−0.879058	−	0.476714i	$-0.841828\pi$
$587$	−16.8947	+	12.2747i	−0.697320	+	0.506633i	0.181738	+	0.983347i	$0.441828\pi$
$588$	−17.5442	+	1.88622i	−0.723509	+	0.0777865i
$589$	18.4456	−	25.3882i	0.760037	−	1.04610i
$590$	35.7682	−	7.76453i	1.47255	−	0.319661i
$591$	−34.3697	−	8.12362i	−1.41378	−	0.334161i
$592$	6.78020	+	17.7838i	0.278665	+	0.730910i
$593$	−30.3545			−1.24651			−0.623256	−	0.782018i	$-0.714190\pi$
$593$	−30.3545			−1.24651			−0.623256	+	0.782018i	$0.714190\pi$
$594$	36.7726	+	14.2467i	1.50880	+	0.584551i
$595$	21.7610	+	38.4151i	0.892116	+	1.57487i
$596$	20.7659	−	15.8968i	0.850606	−	0.651158i
$597$	−21.8095	+	35.8726i	−0.892604	+	1.46817i
$598$	−2.84576	−	8.39901i	−0.116372	−	0.343461i
$599$	−10.5939			−0.432856			−0.216428	−	0.976299i	$-0.569441\pi$
$599$	−10.5939			−0.432856			−0.216428	+	0.976299i	$0.569441\pi$
$600$	−12.2158	−	21.2315i	−0.498707	−	0.866771i
$601$	33.3101			1.35875			0.679373	−	0.733793i	$-0.262252\pi$
$601$	33.3101			1.35875			0.679373	+	0.733793i	$0.262252\pi$
$602$	−6.42712	−	18.9691i	−0.261950	−	0.773123i
$603$	4.32795	+	26.1339i	0.176248	+	1.06425i
$604$	−8.10067	−	10.5819i	−0.329612	−	0.430571i
$605$	−36.2269	−	16.4864i	−1.47283	−	0.670268i
$606$	15.2662	+	3.40707i	0.620147	+	0.138403i
$607$	41.3059			1.67655			0.838277	−	0.545245i	$-0.183563\pi$
$607$	41.3059			1.67655			0.838277	+	0.545245i	$0.183563\pi$
$608$	−36.7546	−	9.44577i	−1.49059	−	0.383077i
$609$	−0.323460	+	1.36850i	−0.0131073	+	0.0554545i
$610$	−1.52304	−	2.61185i	−0.0616663	−	0.105751i
$611$	1.82651	−	2.51398i	0.0738928	−	0.101705i
$612$	23.3033	−	24.8485i	0.941979	−	1.00444i
$613$	15.0273	−	10.9180i	0.606947	−	0.440973i	−0.241391	−	0.970428i	$-0.577604\pi$
$613$	15.0273	−	10.9180i	0.606947	−	0.440973i	0.848338	+	0.529455i	$0.177604\pi$
$614$	6.23669	+	18.4071i	0.251692	+	0.742848i
$615$	15.3575	+	11.8988i	0.619274	+	0.479807i
$616$	−18.1857	−	49.5547i	−0.732725	−	1.99662i
$617$	−8.46789	+	26.0615i	−0.340905	+	1.04920i	0.622835	+	0.782353i	$0.285981\pi$
$617$	−8.46789	+	26.0615i	−0.340905	+	1.04920i	−0.963740	+	0.266843i	$0.914019\pi$
$618$	2.18790	+	23.0638i	0.0880102	+	0.927761i
$619$	14.3419	−	44.1397i	0.576448	−	1.77413i	−0.0547448	−	0.998500i	$-0.517435\pi$
$619$	14.3419	−	44.1397i	0.576448	−	1.77413i	0.631193	−	0.775626i	$-0.282565\pi$
$620$	−8.18585	+	19.2521i	−0.328752	+	0.773183i
$621$	10.0526	+	8.40383i	0.403396	+	0.337234i
$622$	−21.5991	−	6.72018i	−0.866047	−	0.269455i
$623$	11.0318	−	15.1840i	0.441979	−	0.608332i
$624$	−3.11862	+	16.9442i	−0.124845	+	0.678312i
$625$	−24.6110	+	4.39326i	−0.984438	+	0.175730i
$626$	2.82733	+	2.00057i	0.113003	+	0.0799589i
$627$	−5.11113	−	62.1466i	−0.204119	−	2.48189i
$628$	2.86601	−	2.19399i	0.114366	−	0.0875499i
$629$	8.34810	+	25.6928i	0.332860	+	1.02444i
$630$	32.9245	−	2.10082i	1.31174	−	0.0836987i
$631$	26.9139	+	8.74486i	1.07143	+	0.348127i	0.791043	−	0.611761i	$-0.209538\pi$
$631$	26.9139	+	8.74486i	1.07143	+	0.348127i	0.280383	+	0.959888i	$0.409538\pi$
$632$	9.70256	−	34.1794i	0.385947	−	1.35958i
$633$	−13.3417	−	31.8918i	−0.530284	−	1.26758i
$634$	8.01972	−	0.100424i	0.318504	−	0.00398834i
$635$	−13.1680	+	2.68632i	−0.522558	+	0.106603i
$636$	42.4353	−	19.0146i	1.68267	−	0.753980i
$637$	10.2478	−	7.44546i	0.406032	−	0.295000i
$638$	−1.77168	+	0.0221852i	−0.0701416	+	0.000878320i
$639$	30.4566	−	30.8883i	1.20484	−	1.22192i
$640$	25.2901	+	0.639157i	0.999681	+	0.0252649i
$641$	8.47408	+	11.6636i	0.334706	+	0.460683i	0.942886	−	0.333116i	$-0.108100\pi$
$641$	8.47408	+	11.6636i	0.334706	+	0.460683i	−0.608180	+	0.793799i	$0.708100\pi$
$642$	25.4124	+	5.67149i	1.00295	+	0.223836i
$643$		−	0.760803i		−	0.0300031i	−0.999887	−	0.0150016i	$-0.995225\pi$
$643$		−	0.760803i		−	0.0300031i	0.999887	−	0.0150016i	$-0.00477532\pi$
$644$	−0.439163	−	17.5328i	−0.0173055	−	0.690888i
$645$	4.40876	+	15.1436i	0.173595	+	0.596278i
$646$	−51.4334	−	16.0026i	−2.02362	−	0.629612i
$647$	2.73242	−	0.887817i	0.107422	−	0.0349037i	−0.254813	−	0.966990i	$-0.582014\pi$
$647$	2.73242	−	0.887817i	0.107422	−	0.0349037i	0.362235	+	0.932087i	$0.382014\pi$
$648$	−9.10543	−	23.7716i	−0.357695	−	0.933838i
$649$	−62.1142			−2.43820
$650$	15.1941	+	8.85099i	0.595962	+	0.347164i
$651$	−18.3746	−	21.3612i	−0.720157	−	0.837212i
$652$	−22.1005	−	6.57381i	−0.865523	−	0.257450i
$653$	−34.1597	+	11.0992i	−1.33677	+	0.434344i	−0.888223	−	0.459413i	$-0.848060\pi$
$653$	−34.1597	+	11.0992i	−1.33677	+	0.434344i	−0.448551	+	0.893757i	$0.648060\pi$
$654$	7.00254	+	16.1672i	0.273821	+	0.632187i
$655$	13.9639	−	7.91013i	0.545614	−	0.309074i
$656$	−18.7484	+	7.14797i	−0.732003	+	0.279081i
$657$	24.0572	+	3.63693i	0.938560	+	0.141890i
$658$	4.92627	−	3.67426i	0.192046	−	0.143238i
$659$	22.6612	+	31.1905i	0.882756	+	1.21501i	0.975650	+	0.219334i	$0.0703884\pi$
$659$	22.6612	+	31.1905i	0.882756	+	1.21501i	−0.0928935	+	0.995676i	$0.529612\pi$
$660$	12.6154	+	39.6087i	0.491055	+	1.54177i
$661$	−0.225328	+	0.310137i	−0.00876424	+	0.0120629i	−0.813377	−	0.581737i	$-0.802373\pi$
$661$	−0.225328	+	0.310137i	−0.00876424	+	0.0120629i	0.804612	+	0.593800i	$0.202373\pi$
$662$	−0.480793	−	38.3956i	−0.0186866	−	1.49229i
$663$	−5.62517	+	23.7991i	−0.218464	+	0.924282i
$664$	2.62578	+	3.34250i	0.101900	+	0.129714i
$665$	−25.7119	−	45.3896i	−0.997065	−	1.76014i
$666$	19.9964	+	2.76739i	0.774845	+	0.107234i
$667$	−0.559876	−	0.181915i	−0.0216785	−	0.00704377i
$668$	−9.26567	+	3.26929i	−0.358500	+	0.126493i
$669$	−2.88353	−	6.89275i	−0.111484	−	0.266489i
$670$	−18.5941	+	20.8312i	−0.718352	+	0.804781i
$671$	1.58557	+	4.87987i	0.0612102	+	0.188385i
$672$	−15.8447	+	30.1653i	−0.611223	+	1.16365i
$673$	−14.8423	+	20.4287i	−0.572129	+	0.787468i	−0.992805	−	0.119743i	$-0.961793\pi$
$673$	−14.8423	+	20.4287i	−0.572129	+	0.787468i	0.420676	+	0.907211i	$0.361793\pi$
$674$	3.94540	+	2.79170i	0.151971	+	0.107532i
$675$	−25.9754	+	0.528416i	−0.999793	+	0.0203387i
$676$	4.53583	+	12.8552i	0.174455	+	0.494432i
$677$	12.6008	−	17.3435i	0.484286	−	0.666563i	−0.495035	−	0.868873i	$-0.664845\pi$
$677$	12.6008	−	17.3435i	0.484286	−	0.666563i	0.979322	+	0.202310i	$0.0648448\pi$
$678$	5.56405	−	2.40997i	0.213686	−	0.0925544i
$679$	9.93664	−	3.22861i	0.381333	−	0.123903i
$680$	35.8068	+	2.70328i	1.37313	+	0.103666i
$681$	−4.83748	−	11.5634i	−0.185373	−	0.443112i
$682$	20.5066	−	28.9812i	0.785239	−	1.10975i
$683$	−2.91798	+	8.98063i	−0.111654	+	0.343634i	−0.991234	−	0.132115i	$-0.957823\pi$
$683$	−2.91798	+	8.98063i	−0.111654	+	0.343634i	0.879581	+	0.475749i	$0.157823\pi$
$684$	−27.5342	+	29.3600i	−1.05279	+	1.12261i
$685$	−2.89015	+	25.4863i	−0.110427	+	0.973780i
$686$	−8.87927	+	3.00848i	−0.339012	+	0.114864i
$687$	−13.9599	−	3.29956i	−0.532602	−	0.125886i
$688$	−15.7249	−	4.25182i	−0.599506	−	0.162099i
$689$	−19.6211	+	27.0061i	−0.747503	+	1.02885i
$690$	−0.253255	+	13.8091i	−0.00964127	+	0.525702i
$691$	24.6035	−	17.8755i	0.935961	−	0.680016i	−0.0114840	−	0.999934i	$-0.503656\pi$
$691$	24.6035	−	17.8755i	0.935961	−	0.680016i	0.947445	+	0.319919i	$0.103656\pi$
$692$	−0.553932	−	22.1147i	−0.0210573	−	0.840675i
$693$	−55.3593	−	8.36913i	−2.10293	−	0.317917i
$694$	17.1629	+	23.0111i	0.651494	+	0.873491i
$695$	28.1917	−	5.75119i	1.06937	−	0.218155i
$696$	0.777871	+	0.838441i	0.0294851	+	0.0317810i
$697$	−27.0864	+	8.80091i	−1.02597	+	0.333358i
$698$	−13.9330	−	41.1220i	−0.527371	−	1.55649i
$699$	8.70357	−	7.48668i	0.329199	−	0.283172i
$700$	23.4923	+	25.6415i	0.887926	+	0.969157i
$701$	9.79127			0.369811			0.184906	−	0.982756i	$-0.440802\pi$
$701$	9.79127			0.369811			0.184906	+	0.982756i	$0.440802\pi$
$702$	14.1658	+	11.5442i	0.534653	+	0.435706i
$703$	−9.86375	−	30.3575i	−0.372018	−	1.14496i
$704$	−41.7118	−	10.1647i	−1.57207	−	0.383098i
$705$	−4.00127	+	2.72252i	−0.150697	+	0.102536i
$706$	12.6792	+	16.9997i	0.477189	+	0.639792i
$707$	−22.2070			−0.835181
$708$	26.8994	+	29.7321i	1.01094	+	1.11740i
$709$	20.1872	+	27.7853i	0.758147	+	1.04350i	0.997366	+	0.0725342i	$0.0231087\pi$
$709$	20.1872	+	27.7853i	0.758147	+	1.04350i	−0.239219	+	0.970966i	$0.576891\pi$
$710$	45.4946	+	4.58290i	1.70738	+	0.171993i
$711$	−26.8343	−	26.4592i	−1.00636	−	0.992298i
$712$	−5.25898	−	14.3303i	−0.197089	−	0.537051i
$713$	9.54296	−	6.93337i	0.357387	−	0.259657i
$714$	−24.6057	+	41.6375i	−0.920844	+	1.55824i
$715$	−22.0119	−	20.1488i	−0.823198	−	0.753521i
$716$	3.36890	−	4.88986i	0.125902	−	0.182743i
$717$	1.21533	+	2.90510i	0.0453872	+	0.108493i
$718$	9.20831	−	13.0138i	0.343651	−	0.485669i
$719$	−10.4833	+	32.2643i	−0.390961	+	1.20326i	0.541101	+	0.840957i	$0.318008\pi$
$719$	−10.4833	+	32.2643i	−0.390961	+	1.20326i	−0.932062	+	0.362298i	$0.881992\pi$
$720$	13.4961	−	23.1917i	0.502972	−	0.864303i
$721$	−10.1640	−	31.2815i	−0.378526	−	1.16498i
$722$	35.1146	+	10.9253i	1.30683	+	0.406596i
$723$	10.5515	−	0.867790i	0.392415	−	0.0322735i
$724$	−12.8379	+	4.52973i	−0.477118	+	0.168346i
$725$	1.07401	−	0.457233i	0.0398879	−	0.0169812i
$726$	−4.11761	−	43.4059i	−0.152819	−	1.61094i
$727$	−6.44152	−	4.68004i	−0.238903	−	0.173573i	0.461892	−	0.886936i	$-0.347171\pi$
$727$	−6.44152	−	4.68004i	−0.238903	−	0.173573i	−0.700794	+	0.713363i	$0.747171\pi$
$728$	−0.918617	−	24.4430i	−0.0340462	−	0.905917i
$729$	−26.7508	−	3.65982i	−0.990771	−	0.135549i
$730$	12.9192	+	22.1550i	0.478162	+	0.819993i
$731$	−21.9900	−	7.14499i	−0.813331	−	0.264267i
$732$	1.64919	−	2.87226i	0.0609558	−	0.106162i
$733$	−2.82209	+	8.68550i	−0.104236	+	0.320806i	−0.989550	−	0.144187i	$-0.953943\pi$
$733$	−2.82209	+	8.68550i	−0.104236	+	0.320806i	0.885314	+	0.464993i	$0.153943\pi$
$734$	0.305115	+	24.3661i	0.0112620	+	0.899369i
$735$	−18.9416	+	5.51448i	−0.698672	+	0.203405i
$736$	−12.0421	−	7.64591i	−0.443876	−	0.281832i
$737$	38.3364	−	27.8530i	1.41214	−	1.02598i
$738$	−2.91749	+	21.0810i	−0.107394	+	0.776004i
$739$	15.2503	+	11.0800i	0.560991	+	0.407584i	0.831822	−	0.555043i	$-0.187298\pi$
$739$	15.2503	+	11.0800i	0.560991	+	0.407584i	−0.270830	+	0.962627i	$0.587298\pi$
$740$	10.9484	+	18.2463i	0.402470	+	0.670747i
$741$	6.64646	−	28.1200i	0.244164	−	1.03302i
$742$	−52.9198	+	39.4703i	−1.94275	+	1.44900i
$743$			24.5837i			0.901890i	0.892552	+	0.450945i	$0.148913\pi$
$743$			24.5837i			0.901890i	−0.892552	+	0.450945i	$0.851087\pi$
$744$	−22.7531	+	2.73484i	−0.834168	+	0.100264i
$745$	19.7421	−	21.5676i	0.723296	−	0.790177i
$746$	6.90180	+	2.14737i	0.252693	+	0.0786207i
$747$	4.44779	−	0.736584i	0.162736	−	0.0269502i
$748$	−58.4099	−	17.3741i	−2.13568	−	0.635258i
$749$	−36.9663			−1.35072
$750$	−17.6071	−	20.9759i	−0.642920	−	0.765933i
$751$		−	40.3696i		−	1.47311i	−0.676379	−	0.736554i	$-0.736452\pi$
$751$		−	40.3696i		−	1.47311i	0.676379	−	0.736554i	$-0.263548\pi$
$752$	−0.250243	−	4.99211i	−0.00912542	−	0.182043i
$753$	−14.3369	+	23.5815i	−0.522465	+	0.859358i
$754$	−0.783962	−	0.243915i	−0.0285502	−	0.00888288i
$755$	−10.9904	−	10.0602i	−0.399982	−	0.366128i
$756$	19.9681	+	30.1231i	0.726231	+	1.09557i
$757$	−32.9198			−1.19649			−0.598246	−	0.801313i	$-0.704135\pi$
$757$	−32.9198			−1.19649			−0.598246	+	0.801313i	$0.704135\pi$
$758$	14.4230	+	19.3377i	0.523867	+	0.702375i
$759$	5.39142	−	22.8102i	0.195696	−	0.827956i
$760$	−42.3078	−	3.19408i	−1.53467	−	0.115862i
$761$	1.73111	−	2.38266i	0.0627526	−	0.0863715i	−0.776487	−	0.630133i	$-0.783000\pi$
$761$	1.73111	−	2.38266i	0.0627526	−	0.0863715i	0.839240	+	0.543761i	$0.183000\pi$
$762$	−9.73948	−	11.0399i	−0.352824	−	0.399933i
$763$	−14.7026	−	20.2364i	−0.532269	−	0.732606i
$764$	9.11563	−	30.6458i	0.329792	−	1.10873i
$765$	20.7807	−	31.9183i	0.751328	−	1.15401i
$766$	2.30987	−	0.0289245i	0.0834591	−	0.00104508i
$767$	−27.3739	−	8.89433i	−0.988415	−	0.321156i
$768$	13.1983	+	24.3681i	0.476254	+	0.879308i
$769$	−13.9301	+	42.8723i	−0.502331	+	1.54602i	0.302880	+	0.953029i	$0.402052\pi$
$769$	−13.9301	+	42.8723i	−0.502331	+	1.54602i	−0.805212	+	0.592988i	$0.797948\pi$
$770$	−29.7291	−	50.9821i	−1.07136	−	1.83727i
$771$	−9.00387	−	5.47409i	−0.324267	−	0.197145i
$772$	−5.87505	−	7.67456i	−0.211448	−	0.276214i
$773$	11.5712	−	15.9264i	0.416188	−	0.572834i	−0.548526	−	0.836133i	$-0.684811\pi$
$773$	11.5712	−	15.9264i	0.416188	−	0.572834i	0.964714	+	0.263300i	$0.0848108\pi$
$774$	−11.9759	+	12.4538i	−0.430465	+	0.447642i
$775$	−5.23737	+	22.7955i	−0.188132	+	0.818838i
$776$	2.32055	−	8.17464i	0.0833028	−	0.293453i
$777$	−28.5636	+	2.34916i	−1.02471	+	0.0842756i
$778$	46.3707	+	14.4274i	1.66247	+	0.517247i
$779$	32.0041	−	10.3988i	1.14667	−	0.372575i
$780$	−0.112036	+	19.2621i	−0.00401152	+	0.689694i
$781$	−73.7997	−	23.9790i	−2.64076	−	0.858036i
$782$	−16.5279	−	11.6949i	−0.591037	−	0.418208i
$783$	1.17651	−	0.295625i	0.0420451	−	0.0105648i
$784$	5.31818	−	19.6687i	0.189935	−	0.702453i
$785$	2.72471	−	2.97666i	0.0972491	−	0.106241i
$786$	15.1352	+	8.94415i	0.539855	+	0.319027i
$787$	18.8694	+	25.9716i	0.672623	+	0.925786i	0.999816	−	0.0191712i	$-0.00610275\pi$
$787$	18.8694	+	25.9716i	0.672623	+	0.925786i	−0.327193	+	0.944958i	$0.606103\pi$
$788$	23.1363	−	33.5817i	0.824198	−	1.19630i
$789$	−2.15422	−	26.1933i	−0.0766923	−	0.932506i
$790$	3.98141	−	39.5236i	0.141652	−	1.40619i
$791$	−6.96448	+	5.05999i	−0.247629	+	0.179913i
$792$	−30.7316	+	33.6030i	−1.09200	+	1.19403i
$793$			2.37762i			0.0844316i
$794$	−1.18780	−	1.59254i	−0.0421534	−	0.0565172i
$795$	42.9831	−	29.2463i	1.52445	−	1.03726i
$796$	−29.4671	−	38.4928i	−1.04443	−	1.36434i
$797$	16.0999	−	5.23117i	0.570287	−	0.185298i	−0.00965737	−	0.999953i	$-0.503074\pi$
$797$	16.0999	−	5.23117i	0.570287	−	0.185298i	0.579945	+	0.814656i	$0.303074\pi$
$798$	29.0730	−	49.1970i	1.02917	−	1.74156i
$799$		−	7.09478i		−	0.250995i
$800$	27.9627	−	4.25278i	0.988632	−	0.150359i
$801$	−16.0089	−	2.42020i	−0.565646	−	0.0855135i
$802$	6.66412	+	19.6686i	0.235318	+	0.694523i
$803$	−13.4496	−	41.3936i	−0.474625	−	1.46075i
$804$	−29.9345	−	6.28829i	−1.05571	−	0.221771i
$805$	−3.91944	−	19.2127i	−0.138142	−	0.677158i
$806$	13.1872	−	9.83570i	0.464500	−	0.346448i
$807$	1.30097	−	1.11907i	0.0457962	−	0.0393932i
$808$	−10.0601	+	15.0005i	−0.353912	+	0.527716i
$809$	−5.24737	−	7.22239i	−0.184488	−	0.253926i	0.706749	−	0.707465i	$-0.250161\pi$
$809$	−5.24737	−	7.22239i	−0.184488	−	0.253926i	−0.891236	+	0.453539i	$0.850161\pi$
$810$	−14.6813	−	24.3815i	−0.515848	−	0.856680i
$811$	0.213217	+	0.154911i	0.00748706	+	0.00543967i	0.591522	−	0.806288i	$-0.298527\pi$
$811$	0.213217	+	0.154911i	0.00748706	+	0.00543967i	−0.584035	+	0.811728i	$0.698527\pi$
$812$	−1.33713	−	0.921224i	−0.0469241	−	0.0323286i
$813$	0.795973	+	0.188137i	0.0279160	+	0.00659824i
$814$	−11.5882	−	34.2017i	−0.406167	−	1.19877i
$815$	−25.6149	−	2.90473i	−0.897250	−	0.101748i
$816$	16.9788	+	35.4830i	0.594376	+	1.24215i
$817$	25.9825	+	8.44222i	0.909012	+	0.295356i
$818$	−12.9387	+	18.2858i	−0.452391	+	0.639346i
$819$	−23.1986	−	11.6154i	−0.810624	−	0.405874i
$820$	−19.2360	+	11.5422i	−0.671750	+	0.403072i
$821$	10.3263	+	31.7811i	0.360391	+	1.10917i	0.952817	+	0.303545i	$0.0981702\pi$
$821$	10.3263	+	31.7811i	0.360391	+	1.10917i	−0.592426	+	0.805625i	$0.701830\pi$
$822$	−25.7831	+	11.1675i	−0.899290	+	0.389512i
$823$	25.9844	+	18.8788i	0.905760	+	0.658073i	0.939939	−	0.341342i	$-0.110882\pi$
$823$	25.9844	+	18.8788i	0.905760	+	0.658073i	−0.0341788	+	0.999416i	$0.510882\pi$
$824$	−25.7345	−	7.30529i	−0.896505	−	0.254492i
$825$	21.6485	+	41.1259i	0.753705	+	1.43182i
$826$	−46.4673	−	32.8795i	−1.61681	−	1.14402i
$827$	−16.6784	−	12.1175i	−0.579964	−	0.421368i	0.258747	−	0.965945i	$-0.416690\pi$
$827$	−16.6784	−	12.1175i	−0.579964	−	0.421368i	−0.838711	+	0.544577i	$0.816690\pi$
$828$	−13.2533	+	7.29755i	−0.460585	+	0.253607i
$829$	29.6043	−	9.61901i	1.02820	−	0.334082i	0.254121	−	0.967172i	$-0.418214\pi$
$829$	29.6043	−	9.61901i	1.02820	−	0.334082i	0.774078	+	0.633091i	$0.218214\pi$
$830$	3.54532	+	3.16457i	0.123060	+	0.109844i
$831$	−11.3637	−	27.1638i	−0.394204	−	0.942300i
$832$	−16.9270	−	10.4525i	−0.586838	−	0.362374i
$833$	8.93696	−	27.5051i	0.309647	−	0.952996i
$834$	20.8514	+	23.6355i	0.722026	+	0.818429i
$835$	−9.55823	+	5.41446i	−0.330776	+	0.187375i
$836$	69.0146	+	20.5284i	2.38692	+	0.709991i
$837$	−9.06431	+	22.5537i	−0.313308	+	0.779568i
$838$	−3.76542	+	0.0471510i	−0.130074	+	0.00162880i
$839$	−9.91673	−	7.20492i	−0.342363	−	0.248742i	0.403295	−	0.915070i	$-0.367865\pi$
$839$	−9.91673	−	7.20492i	−0.342363	−	0.248742i	−0.745658	+	0.666328i	$0.767865\pi$
$840$	−11.5289	+	36.3089i	−0.397785	+	1.25278i
$841$	23.4174	−	17.0137i	0.807497	−	0.586681i
$842$	7.68992	−	5.73553i	0.265012	−	0.197659i
$843$	33.0502	+	38.4222i	1.13831	+	1.32333i
$844$	39.9055	−	0.999558i	1.37360	−	0.0344062i
$845$	7.51204	+	13.2611i	0.258422	+	0.456197i
$846$	−4.76991	−	2.31402i	−0.163993	−	0.0795576i
$847$	19.1285	+	58.8715i	0.657264	+	2.02285i
$848$	2.68820	+	53.6270i	0.0923131	+	1.84156i
$849$	−15.4523	−	17.9639i	−0.530321	−	0.616520i
$850$	39.9432	−	4.04179i	1.37004	−	0.138632i
$851$		−	11.9981i		−	0.411289i
$852$	20.4820	+	45.7100i	0.701702	+	1.56600i
$853$	6.62990	+	20.4047i	0.227004	+	0.698645i	0.998082	+	0.0619050i	$0.0197176\pi$
$853$	6.62990	+	20.4047i	0.227004	+	0.698645i	−0.771078	+	0.636740i	$0.780282\pi$
$854$	−1.39695	+	4.48991i	−0.0478028	+	0.153642i
$855$	−24.5536	+	37.7133i	−0.839715	+	1.28977i
$856$	−16.7462	+	24.9701i	−0.572373	+	0.853462i
$857$	56.9249			1.94452			0.972258	−	0.233911i	$-0.0751523\pi$
$857$	56.9249			1.94452			0.972258	+	0.233911i	$0.0751523\pi$
$858$	7.12037	−	31.9045i	0.243085	−	1.08920i
$859$	−38.3062	+	27.8311i	−1.30699	+	0.949585i	−0.999998	−	0.00212665i	$-0.999323\pi$
$859$	−38.3062	+	27.8311i	−1.30699	+	0.949585i	−0.306994	+	0.951712i	$0.599323\pi$
$860$	−18.1420	−	1.59834i	−0.618638	−	0.0545031i
$861$	−2.47658	−	30.1129i	−0.0844017	−	1.02624i
$862$	−0.546640	−	43.6540i	−0.0186186	−	1.48686i
$863$	6.75428	+	9.29646i	0.229918	+	0.316455i	0.908352	−	0.418206i	$-0.137341\pi$
$863$	6.75428	+	9.29646i	0.229918	+	0.316455i	−0.678434	+	0.734661i	$0.737341\pi$
$864$	29.3935	+	0.158032i	0.999986	+	0.00537636i
$865$	−4.94373	−	24.2336i	−0.168092	−	0.823967i
$866$	−36.3933	+	0.455721i	−1.23670	+	0.0154860i
$867$	10.1845	+	24.3449i	0.345884	+	0.826797i
$868$	30.6818	−	10.8257i	1.04141	−	0.367450i
$869$	−20.8318	+	64.1137i	−0.706671	+	2.17491i
$870$	1.02054	+	0.770446i	0.0345994	+	0.0261206i
$871$	20.8833	−	6.78540i	0.707605	−	0.229915i
$872$	−20.3298	+	0.764035i	−0.688454	+	0.0258735i
$873$	−6.41792	−	6.32821i	−0.217214	−	0.214178i
$874$	19.5287	+	13.8182i	0.660567	+	0.467406i
$875$	30.8837	+	23.6202i	1.04406	+	0.798508i
$876$	−13.9893	+	24.3639i	−0.472653	+	0.823181i
$877$	35.3862	+	25.7096i	1.19491	+	0.868151i	0.993774	−	0.111413i	$-0.0355377\pi$
$877$	35.3862	+	25.7096i	1.19491	+	0.868151i	0.201133	+	0.979564i	$0.435538\pi$
$878$	−12.4707	+	40.0817i	−0.420865	+	1.35269i
$879$	−20.8816	+	34.3463i	−0.704317	+	1.15847i
$880$	−47.9052	−	3.01395i	−1.61488	−	0.101600i
$881$	20.4325	+	6.63893i	0.688389	+	0.223671i	0.632265	−	0.774753i	$-0.282126\pi$
$881$	20.4325	+	6.63893i	0.688389	+	0.223671i	0.0561246	+	0.998424i	$0.482126\pi$
$882$	−15.5772	−	14.9795i	−0.524511	−	0.504384i
$883$	−22.4614	−	7.29815i	−0.755886	−	0.245602i	−0.0943740	−	0.995537i	$-0.530085\pi$
$883$	−22.4614	−	7.29815i	−0.755886	−	0.245602i	−0.661512	+	0.749935i	$0.730085\pi$
$884$	−23.2535	−	16.0207i	−0.782101	−	0.538834i
$885$	35.4357	+	27.4552i	1.19116	+	0.922895i
$886$	−6.87693	+	2.33004i	−0.231035	+	0.0782793i
$887$	8.89170	+	12.2384i	0.298554	+	0.410924i	0.931769	−	0.363051i	$-0.118265\pi$
$887$	8.89170	+	12.2384i	0.298554	+	0.410924i	−0.633215	+	0.773976i	$0.718265\pi$
$888$	−11.3528	+	20.3584i	−0.380976	+	0.683184i
$889$	16.9094	+	12.2854i	0.567124	+	0.412039i
$890$	−8.59712	−	14.7431i	−0.288176	−	0.494189i
$891$	15.5702	+	45.7205i	0.521623	+	1.53169i
$892$	8.62475	−	0.216034i	0.288778	−	0.00723335i
$893$			8.38288i			0.280522i
$894$	31.2606	+	6.97666i	1.04551	+	0.233335i
$895$	2.74992	−	6.04261i	0.0919197	−	0.201982i
$896$	−25.8238	−	29.6839i	−0.862712	−	0.991668i
$897$	5.64227	−	9.28049i	0.188390	−	0.309866i
$898$	−1.46854	−	4.33426i	−0.0490057	−	0.144636i
$899$		−	1.09209i		−	0.0364232i
$900$	10.3105	−	28.1726i	0.343682	−	0.939086i
$901$			76.2146i			2.53908i
$902$	36.0568	−	12.2168i	1.20056	−	0.406775i
$903$	12.7430	−	20.9599i	0.424061	−	0.697502i
$904$	0.262948	+	6.99664i	0.00874552	+	0.232705i
$905$	−13.2433	+	7.50193i	−0.440221	+	0.249373i
$906$	3.55516	−	15.9297i	0.118112	−	0.529230i
$907$		−	51.6736i		−	1.71579i	−0.513822	−	0.857897i	$-0.671771\pi$
$907$		−	51.6736i		−	1.71579i	0.513822	−	0.857897i	$-0.328229\pi$
$908$	14.4691	−	0.362424i	0.480174	−	0.0120275i
$909$	8.81708	+	17.0075i	0.292444	+	0.564104i
$910$	−5.80144	−	26.7249i	−0.192316	−	0.885923i
$911$	−12.1436	−	8.82285i	−0.402336	−	0.292314i	0.368156	−	0.929764i	$-0.379989\pi$
$911$	−12.1436	−	8.82285i	−0.402336	−	0.292314i	−0.770492	+	0.637450i	$0.779989\pi$
$912$	−20.0614	−	41.9252i	−0.664299	−	1.38828i
$913$	−4.74038	−	6.52457i	−0.156884	−	0.215932i
$914$	7.70463	+	22.7396i	0.254847	+	0.752158i
$915$	1.25240	−	3.48477i	0.0414031	−	0.115203i
$916$	9.39725	−	13.6398i	0.310494	−	0.450673i
$917$	−23.7378	−	7.71289i	−0.783892	−	0.254702i
$918$	41.6580	+	2.31282i	1.37492	+	0.0763343i
$919$	2.62028	+	0.851380i	0.0864350	+	0.0280844i	0.351915	−	0.936032i	$-0.385531\pi$
$919$	2.62028	+	0.851380i	0.0864350	+	0.0280844i	−0.265480	+	0.964116i	$0.585531\pi$
$920$	−14.7534	−	6.05606i	−0.486405	−	0.199662i
$921$	−12.3654	+	20.3389i	−0.407455	+	0.670189i
$922$	−26.4008	−	8.21413i	−0.869465	−	0.270518i
$923$	−29.0901	−	21.1352i	−0.957513	−	0.695674i
$924$	32.1914	−	56.0652i	1.05902	−	1.84441i
$925$	15.6270	+	17.9385i	0.513813	+	0.589813i
$926$	−17.6250	+	24.9087i	−0.579192	+	0.818550i
$927$	−19.9218	+	20.2042i	−0.654318	+	0.663593i
$928$	−1.22801	+	0.485884i	−0.0403114	+	0.0159499i
$929$	19.2614	−	6.25842i	0.631947	−	0.205332i	0.0245098	−	0.999700i	$-0.492198\pi$
$929$	19.2614	−	6.25842i	0.631947	−	0.205332i	0.607438	+	0.794367i	$0.292198\pi$
$930$	−24.5089	+	7.46942i	−0.803677	+	0.244932i
$931$	−10.5595	+	32.4989i	−0.346074	+	1.06511i
$932$	4.41092	+	12.5012i	0.144485	+	0.409491i
$933$	−10.6920	−	25.5579i	−0.350039	−	0.836729i
$934$	−0.446699	−	35.6729i	−0.0146165	−	1.16725i
$935$	−67.6980	−	7.67697i	−2.21396	−	0.251064i
$936$	−18.3552	+	10.4084i	−0.599960	+	0.340208i
$937$	23.6817	+	32.5950i	0.773647	+	1.06483i	0.995955	+	0.0898567i	$0.0286409\pi$
$937$	23.6817	+	32.5950i	0.773647	+	1.06483i	−0.222308	+	0.974976i	$0.571359\pi$
$938$	43.4230	−	0.543747i	1.41781	−	0.0177540i
$939$	0.347697	+	4.22767i	0.0113467	+	0.137965i
$940$	−1.25379	−	5.44589i	−0.0408942	−	0.177625i
$941$	21.2905	−	15.4685i	0.694050	−	0.504257i	−0.183939	−	0.982938i	$-0.558885\pi$
$941$	21.2905	−	15.4685i	0.694050	−	0.504257i	0.877989	+	0.478681i	$0.158885\pi$
$942$	4.31443	+	0.962884i	0.140572	+	0.0313725i
$943$	12.6489			0.411904
$944$	−43.2599	+	16.4931i	−1.40799	+	0.536806i
$945$	27.8828	+	29.2439i	0.907027	+	0.951304i
$946$	29.5118	+	9.18206i	0.959512	+	0.298535i
$947$	−8.26189	−	25.4275i	−0.268475	−	0.826282i	−0.990872	−	0.134804i	$-0.956960\pi$
$947$	−8.26189	−	25.4275i	−0.268475	−	0.826282i	0.722397	−	0.691479i	$-0.243040\pi$
$948$	39.7107	−	17.7938i	1.28974	−	0.577915i
$949$		−	20.1681i		−	0.654686i
$950$	−47.1952	+	4.77561i	−1.53121	+	0.154941i
$951$	6.40569	+	7.44688i	0.207719	+	0.241482i
$952$	−34.4993	−	43.9161i	−1.11813	−	1.42333i
$953$	−13.0334	−	40.1128i	−0.422195	−	1.29938i	−0.905655	−	0.424015i	$-0.860620\pi$
$953$	−13.0334	−	40.1128i	−0.422195	−	1.29938i	0.483460	−	0.875366i	$-0.339380\pi$
$954$	51.2401	+	24.8580i	1.65896	+	0.804808i
$955$	4.02787	−	35.5191i	0.130339	−	1.14937i
$956$	−3.63509	+	0.0910522i	−0.117567	+	0.00294484i
$957$	−1.41512	−	1.64513i	−0.0457443	−	0.0531796i
$958$	24.4203	+	32.7415i	0.788984	+	1.05783i
$959$	32.2726	−	23.4474i	1.04214	−	0.757156i
$960$	19.3033	+	24.2359i	0.623012	+	0.782212i
$961$	−7.37617	−	5.35910i	−0.237941	−	0.172874i
$962$	−0.209522	−	16.7321i	−0.00675525	−	0.539466i
$963$	14.6771	+	28.3111i	0.472963	+	0.912313i
$964$	−3.48540	+	11.7176i	−0.112257	+	0.377398i
$965$	−7.97085	−	7.29619i	−0.256591	−	0.234873i
$966$	16.1076	−	14.2103i	0.518253	−	0.457208i
$967$	9.66923	−	29.7588i	0.310941	−	0.956979i	−0.666452	−	0.745548i	$-0.732188\pi$
$967$	9.66923	−	29.7588i	0.310941	−	0.956979i	0.977393	−	0.211431i	$-0.0678123\pi$
$968$	48.4322	+	13.7485i	1.55667	+	0.441894i
$969$	−25.4604	−	60.8603i	−0.817907	−	1.95512i
$970$	0.952228	−	9.45280i	0.0305742	−	0.303511i
$971$	33.7453	−	10.9645i	1.08294	−	0.351868i	0.287424	−	0.957804i	$-0.407201\pi$
$971$	33.7453	−	10.9645i	1.08294	−	0.351868i	0.795513	+	0.605936i	$0.207201\pi$
$972$	15.1420	−	27.2529i	0.485681	−	0.874136i
$973$	−36.2017	−	26.3020i	−1.16057	−	0.843205i
$974$	16.9724	−	23.9864i	0.543830	−	0.768574i
$975$	3.65163	+	21.2242i	0.116946	+	0.679718i
$976$	2.40003	+	2.97761i	0.0768230	+	0.0953108i
$977$	−29.8265	−	21.6702i	−0.954234	−	0.693292i	−0.00242950	−	0.999997i	$-0.500773\pi$
$977$	−29.8265	−	21.6702i	−0.954234	−	0.693292i	−0.951804	+	0.306705i	$0.900773\pi$
$978$	−11.2239	−	25.9132i	−0.358900	−	0.828614i
$979$	8.95004	+	27.5454i	0.286045	+	0.880355i
$980$	1.99921	−	22.6920i	0.0638624	−	0.724870i
$981$	−9.66077	+	19.2948i	−0.308445	+	0.616036i
$982$	−4.72319	−	3.34205i	−0.150723	−	0.106649i
$983$	1.72999	+	0.562109i	0.0551782	+	0.0179285i	0.336476	−	0.941692i	$-0.390765\pi$
$983$	1.72999	+	0.562109i	0.0551782	+	0.0179285i	−0.281298	+	0.959621i	$0.590765\pi$
$984$	−21.4627	−	11.9686i	−0.684206	−	0.381546i
$985$	18.8854	−	41.4984i	0.601740	−	1.32225i
$986$	−1.77540	+	0.601541i	−0.0565402	+	0.0191570i
$987$	7.32496	+	1.73133i	0.233156	+	0.0551089i
$988$	27.4754	+	18.9293i	0.874108	+	0.602223i
$989$	8.30775	+	6.03594i	0.264171	+	0.191932i
$990$	−27.2416	+	43.0103i	−0.865795	+	1.36696i
$991$	14.0001	+	19.2695i	0.444728	+	0.612115i	0.971255	−	0.238043i	$-0.0765060\pi$
$991$	14.0001	+	19.2695i	0.444728	+	0.612115i	−0.526527	+	0.850159i	$0.676506\pi$
$992$	6.58661	−	25.6292i	0.209125	−	0.813729i
$993$	35.6530	−	30.6682i	1.13141	−	0.973225i
$994$	−42.5162	−	57.0036i	−1.34853	−	1.80805i
$995$	−39.9788	−	36.5950i	−1.26741	−	1.16014i
$996$	−1.07022	+	5.09462i	−0.0339112	+	0.161429i
$997$	3.08483	+	9.49413i	0.0976976	+	0.300682i	0.987947	−	0.154791i	$-0.0494703\pi$
$997$	3.08483	+	9.49413i	0.0976976	+	0.300682i	−0.890250	+	0.455473i	$0.849470\pi$
$998$	−35.3025	+	11.9612i	−1.11748	+	0.378625i
$999$	13.1400	+	20.9431i	0.415732	+	0.662609i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	600.2.bk.a.59.14	✓	464
3.2	odd	2	inner	600.2.bk.a.59.103	yes	464
8.3	odd	2	inner	600.2.bk.a.59.61	yes	464
24.11	even	2	inner	600.2.bk.a.59.56	yes	464
25.14	even	10	inner	600.2.bk.a.539.56	yes	464
75.14	odd	10	inner	600.2.bk.a.539.61	yes	464
200.139	odd	10	inner	600.2.bk.a.539.103	yes	464
600.539	even	10	inner	600.2.bk.a.539.14	yes	464

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
600.2.bk.a.59.14	✓	464	1.1	even	1	trivial
600.2.bk.a.59.56	yes	464	24.11	even	2	inner
600.2.bk.a.59.61	yes	464	8.3	odd	2	inner
600.2.bk.a.59.103	yes	464	3.2	odd	2	inner
600.2.bk.a.539.14	yes	464	600.539	even	10	inner
600.2.bk.a.539.56	yes	464	25.14	even	10	inner
600.2.bk.a.539.61	yes	464	75.14	odd	10	inner
600.2.bk.a.539.103	yes	464	200.139	odd	10	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:	\( N \)	\(=\)	\( 600 = 2^{3} \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	600.bk (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.33942 + 0.453823i) q^{2} +(-1.47999 - 0.899792i) q^{3} +(1.58809 - 1.21572i) q^{4} +(1.50979 - 1.64940i) q^{5} +(2.39068 + 0.533545i) q^{6} -3.47761 q^{7} +(-1.57540 + 2.34907i) q^{8} +(1.38075 + 2.66337i) q^{9} +O(q^{10})\)	\(q+(-1.33942 + 0.453823i) q^{2} +(-1.47999 - 0.899792i) q^{3} +(1.58809 - 1.21572i) q^{4} +(1.50979 - 1.64940i) q^{5} +(2.39068 + 0.533545i) q^{6} -3.47761 q^{7} +(-1.57540 + 2.34907i) q^{8} +(1.38075 + 2.66337i) q^{9} +(-1.27371 + 2.89442i) q^{10} +(3.15438 - 4.34164i) q^{11} +(-3.44425 + 0.370301i) q^{12} +(2.01184 - 1.46169i) q^{13} +(4.65797 - 1.57822i) q^{14} +(-3.71860 + 1.08260i) q^{15} +(1.04406 - 3.86134i) q^{16} +(1.75450 - 5.39978i) q^{17} +(-3.05810 - 2.94075i) q^{18} +(-2.07304 + 6.38015i) q^{19} +(0.392483 - 4.45488i) q^{20} +(5.14683 + 3.12912i) q^{21} +(-2.25471 + 7.24680i) q^{22} +(-1.48216 + 2.04002i) q^{23} +(4.44525 - 2.05907i) q^{24} +(-0.441045 - 4.98051i) q^{25} +(-2.03135 + 2.87083i) q^{26} +(0.352981 - 5.18415i) q^{27} +(-5.52275 + 4.22779i) q^{28} +(0.0721426 + 0.222032i) q^{29} +(4.48946 - 3.13764i) q^{30} +(-4.44893 - 1.44554i) q^{31} +(0.353929 + 5.64577i) q^{32} +(-8.57503 + 3.58730i) q^{33} +(0.100538 + 8.02881i) q^{34} +(-5.25047 + 5.73597i) q^{35} +(5.43066 + 2.55107i) q^{36} +(-3.84940 + 2.79675i) q^{37} +(-0.118791 - 9.48649i) q^{38} +(-4.29271 + 0.353047i) q^{39} +(1.49603 + 6.14507i) q^{40} +(-2.94845 - 4.05820i) q^{41} +(-8.31383 - 1.85546i) q^{42} -4.07239i q^{43} +(-0.268760 - 10.7297i) q^{44} +(6.47761 + 1.74373i) q^{45} +(1.05943 - 3.40508i) q^{46} +(1.18843 - 0.386146i) q^{47} +(-5.01960 + 4.77531i) q^{48} +5.09375 q^{49} +(2.85101 + 6.47084i) q^{50} +(-7.45532 + 6.41295i) q^{51} +(1.41798 - 4.76711i) q^{52} +(-12.7666 + 4.14812i) q^{53} +(1.87989 + 7.10394i) q^{54} +(-2.39863 - 11.7578i) q^{55} +(5.47862 - 8.16913i) q^{56} +(8.80888 - 7.57727i) q^{57} +(-0.197392 - 0.264654i) q^{58} +(-6.80321 - 9.36382i) q^{59} +(-4.58934 + 6.24003i) q^{60} +(-0.561986 + 0.773507i) q^{61} +(6.61500 - 0.0828338i) q^{62} +(-4.80170 - 9.26215i) q^{63} +(-3.03624 - 7.40144i) q^{64} +(0.626555 - 5.52517i) q^{65} +(9.85757 - 8.69644i) q^{66} +(8.39778 + 2.72860i) q^{67} +(-3.77832 - 10.7083i) q^{68} +(4.02918 - 1.68557i) q^{69} +(4.42947 - 10.0656i) q^{70} +(-4.46823 - 13.7518i) q^{71} +(-8.43166 - 0.952395i) q^{72} +(4.76705 - 6.56127i) q^{73} +(3.88673 - 5.49297i) q^{74} +(-3.82868 + 7.76796i) q^{75} +(4.46429 + 12.6525i) q^{76} +(-10.9697 + 15.0985i) q^{77} +(5.58953 - 2.42101i) q^{78} +(-11.9469 + 3.88178i) q^{79} +(-4.79258 - 7.55190i) q^{80} +(-5.18707 + 7.35489i) q^{81} +(5.79092 + 4.09755i) q^{82} +(0.464388 - 1.42924i) q^{83} +(11.9778 - 1.28776i) q^{84} +(-6.25748 - 11.0464i) q^{85} +(1.84814 + 5.45464i) q^{86} +(0.0930122 - 0.393519i) q^{87} +(5.22939 + 14.2497i) q^{88} +(-3.17224 + 4.36621i) q^{89} +(-9.46758 + 0.604099i) q^{90} +(-6.99638 + 5.08317i) q^{91} +(0.126283 + 5.04162i) q^{92} +(5.28369 + 6.14250i) q^{93} +(-1.41657 + 1.05655i) q^{94} +(7.39357 + 13.0520i) q^{95} +(4.55621 - 8.67416i) q^{96} +(-2.85732 + 0.928400i) q^{97} +(-6.82267 + 2.31166i) q^{98} +(15.9188 + 2.40658i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 464 q - 10 q^{3} - 6 q^{4} + q^{6} - 6 q^{9}+O(q^{10}) \) 464 * q - 10 * q^3 - 6 * q^4 + q^6 - 6 * q^9	\( 464 q - 10 q^{3} - 6 q^{4} + q^{6} - 6 q^{9} - 16 q^{10} - 5 q^{12} - 18 q^{16} - 12 q^{19} - 10 q^{22} + 12 q^{24} - 16 q^{25} - 10 q^{27} - 50 q^{28} - 21 q^{30} - 10 q^{33} - 14 q^{34} - 25 q^{36} - 32 q^{40} + 15 q^{42} - 34 q^{46} - 70 q^{48} + 336 q^{49} - 4 q^{51} - 60 q^{52} + 40 q^{54} - 70 q^{58} - 50 q^{60} - 30 q^{64} + 28 q^{66} - 20 q^{67} - 16 q^{70} - 5 q^{72} - 20 q^{73} - 42 q^{75} - 48 q^{76} + 75 q^{78} - 6 q^{81} - 76 q^{84} - 70 q^{88} + 66 q^{90} - 96 q^{91} - 108 q^{94} - 50 q^{96} - 60 q^{97} - 52 q^{99}+O(q^{100}) \) 464 * q - 10 * q^3 - 6 * q^4 + q^6 - 6 * q^9 - 16 * q^10 - 5 * q^12 - 18 * q^16 - 12 * q^19 - 10 * q^22 + 12 * q^24 - 16 * q^25 - 10 * q^27 - 50 * q^28 - 21 * q^30 - 10 * q^33 - 14 * q^34 - 25 * q^36 - 32 * q^40 + 15 * q^42 - 34 * q^46 - 70 * q^48 + 336 * q^49 - 4 * q^51 - 60 * q^52 + 40 * q^54 - 70 * q^58 - 50 * q^60 - 30 * q^64 + 28 * q^66 - 20 * q^67 - 16 * q^70 - 5 * q^72 - 20 * q^73 - 42 * q^75 - 48 * q^76 + 75 * q^78 - 6 * q^81 - 76 * q^84 - 70 * q^88 + 66 * q^90 - 96 * q^91 - 108 * q^94 - 50 * q^96 - 60 * q^97 - 52 * q^99

Introduction

L-functions

Modular forms

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