LMFDB - Embedded newform 230.3.k.a.223.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [230,3,Mod(3,230)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(230, base_ring=CyclotomicField(44))

chi = DirichletCharacter(H, H._module([33, 32]))

N = Newforms(chi, 3, names="a")

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

chi := DirichletCharacter("230.3");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 230 = 2 \cdot 5 \cdot 23 $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	230.k (of order $44$, degree $20$, 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:	$6.26704608029$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$12$ over $\Q(\zeta_{44})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label			223.9
Character	$\chi$	$=$	230.223
Dual form			230.3.k.a.197.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.100889 + 1.41061i) q^{2} +(2.24525 + 0.488423i) q^{3} +(-1.97964 + 0.284630i) q^{4} +(-4.50267 - 2.17394i) q^{5} +(-0.462455 + 3.21644i) q^{6} +(-5.91546 + 10.8334i) q^{7} +(-0.601225 - 2.76379i) q^{8} +(-3.38412 - 1.54548i) q^{9} +O(q^{10})$	\(q+(0.100889 + 1.41061i) q^{2} +(2.24525 + 0.488423i) q^{3} +(-1.97964 + 0.284630i) q^{4} +(-4.50267 - 2.17394i) q^{5} +(-0.462455 + 3.21644i) q^{6} +(-5.91546 + 10.8334i) q^{7} +(-0.601225 - 2.76379i) q^{8} +(-3.38412 - 1.54548i) q^{9} +(2.61231 - 6.57083i) q^{10} +(-2.49347 - 2.87762i) q^{11} +(-4.58380 - 0.327840i) q^{12} +(-4.98482 - 9.12902i) q^{13} +(-15.8785 - 7.25145i) q^{14} +(-9.04779 - 7.08023i) q^{15} +(3.83797 - 1.12693i) q^{16} +(13.1148 + 17.5194i) q^{17} +(1.83864 - 4.92959i) q^{18} +(-26.0287 + 3.74236i) q^{19} +(9.53244 + 3.02202i) q^{20} +(-18.5729 + 21.4343i) q^{21} +(3.80764 - 3.80764i) q^{22} +(-18.0769 + 14.2206i) q^{23} -6.49904i q^{24} +(15.5480 + 19.5770i) q^{25} +(12.3746 - 7.95266i) q^{26} +(-23.3984 - 17.5158i) q^{27} +(8.62701 - 23.1299i) q^{28} +(39.9174 + 5.73925i) q^{29} +(9.07462 - 13.4772i) q^{30} +(-15.1313 - 9.72432i) q^{31} +(1.97687 + 5.30019i) q^{32} +(-4.19296 - 7.67884i) q^{33} +(-23.3899 + 20.2674i) q^{34} +(50.1864 - 35.9192i) q^{35} +(7.13923 + 2.09627i) q^{36} +(18.0418 + 48.3721i) q^{37} +(-7.90502 - 36.3388i) q^{38} +(-6.73332 - 22.9316i) q^{39} +(-3.30118 + 13.7514i) q^{40} +(-24.4777 - 53.5987i) q^{41} +(-32.1093 - 24.0367i) q^{42} +(26.9894 + 5.87118i) q^{43} +(5.75525 + 4.98695i) q^{44} +(11.8778 + 14.3156i) q^{45} +(-21.8835 - 24.0648i) q^{46} +(-24.0336 + 24.0336i) q^{47} +(9.16761 - 0.655680i) q^{48} +(-55.8776 - 86.9473i) q^{49} +(-26.0469 + 23.9073i) q^{50} +(20.8892 + 45.7409i) q^{51} +(12.4666 + 16.6534i) q^{52} +(46.2077 + 25.2313i) q^{53} +(22.3473 - 34.7731i) q^{54} +(4.97152 + 18.3776i) q^{55} +(33.4977 + 9.83580i) q^{56} +(-60.2687 - 4.31050i) q^{57} +(-4.06863 + 56.8869i) q^{58} +(-25.0806 + 85.4165i) q^{59} +(19.9266 + 11.4410i) q^{60} +(63.3115 + 40.6879i) q^{61} +(12.1906 - 22.3255i) q^{62} +(36.7613 - 27.5192i) q^{63} +(-7.27706 + 3.32332i) q^{64} +(2.59909 + 51.9416i) q^{65} +(10.4088 - 6.68935i) q^{66} +(-9.49588 - 132.770i) q^{67} +(-30.9492 - 30.9492i) q^{68} +(-47.5328 + 23.0995i) q^{69} +(55.7312 + 67.1696i) q^{70} +(-62.7784 + 72.4501i) q^{71} +(-2.23675 + 10.2822i) q^{72} +(3.94905 - 5.27531i) q^{73} +(-66.4139 + 30.3302i) q^{74} +(25.3472 + 51.5492i) q^{75} +(50.4623 - 14.8171i) q^{76} +(45.9244 - 9.99024i) q^{77} +(31.6682 - 11.8116i) q^{78} +(0.815426 - 2.77708i) q^{79} +(-19.7310 - 3.26931i) q^{80} +(-22.0534 - 25.4509i) q^{81} +(73.1373 - 39.9360i) q^{82} +(54.3113 - 20.2571i) q^{83} +(30.6669 - 47.7187i) q^{84} +(-20.9657 - 107.395i) q^{85} +(-5.55902 + 38.6638i) q^{86} +(86.8211 + 32.3826i) q^{87} +(-6.45400 + 8.62154i) q^{88} +(72.6205 + 113.000i) q^{89} +(-18.9954 + 18.1992i) q^{90} +128.386 q^{91} +(31.7382 - 33.2969i) q^{92} +(-29.2240 - 29.2240i) q^{93} +(-36.3267 - 31.4773i) q^{94} +(125.334 + 39.7341i) q^{95} +(1.84982 + 12.8658i) q^{96} +(-78.8582 - 29.4126i) q^{97} +(117.011 - 87.5936i) q^{98} +(3.99092 + 13.5918i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 24 q^{2} - 4 q^{5} - 74 q^{7} + 48 q^{8}+O(q^{10}) $ 240 * q - 24 * q^2 - 4 * q^5 - 74 * q^7 + 48 * q^8	$ 240 q - 24 q^{2} - 4 q^{5} - 74 q^{7} + 48 q^{8} - 16 q^{10} + 8 q^{11} + 44 q^{12} + 24 q^{13} + 24 q^{15} + 96 q^{16} + 12 q^{17} + 88 q^{18} - 24 q^{20} + 24 q^{21} + 8 q^{22} - 44 q^{23} - 128 q^{25} + 48 q^{26} - 60 q^{27} - 116 q^{28} + 120 q^{30} - 12 q^{31} + 96 q^{32} - 334 q^{33} - 224 q^{35} - 176 q^{36} + 188 q^{37} + 76 q^{38} - 16 q^{40} - 116 q^{41} + 24 q^{42} + 120 q^{43} + 204 q^{45} + 396 q^{46} - 144 q^{47} - 88 q^{48} + 170 q^{50} - 176 q^{51} + 48 q^{52} + 192 q^{53} - 312 q^{55} + 296 q^{56} + 88 q^{57} - 28 q^{58} - 72 q^{60} - 552 q^{61} - 12 q^{62} - 122 q^{63} - 392 q^{65} - 8 q^{66} - 72 q^{67} - 24 q^{68} + 100 q^{70} + 424 q^{71} - 176 q^{72} + 452 q^{73} + 604 q^{75} - 112 q^{76} + 356 q^{77} + 32 q^{78} + 16 q^{80} - 704 q^{81} + 148 q^{82} - 360 q^{83} + 428 q^{85} - 376 q^{86} - 462 q^{87} - 104 q^{88} - 510 q^{90} + 432 q^{91} - 192 q^{93} - 166 q^{95} - 1042 q^{97} - 88 q^{98}+O(q^{100}) $ 240 * q - 24 * q^2 - 4 * q^5 - 74 * q^7 + 48 * q^8 - 16 * q^10 + 8 * q^11 + 44 * q^12 + 24 * q^13 + 24 * q^15 + 96 * q^16 + 12 * q^17 + 88 * q^18 - 24 * q^20 + 24 * q^21 + 8 * q^22 - 44 * q^23 - 128 * q^25 + 48 * q^26 - 60 * q^27 - 116 * q^28 + 120 * q^30 - 12 * q^31 + 96 * q^32 - 334 * q^33 - 224 * q^35 - 176 * q^36 + 188 * q^37 + 76 * q^38 - 16 * q^40 - 116 * q^41 + 24 * q^42 + 120 * q^43 + 204 * q^45 + 396 * q^46 - 144 * q^47 - 88 * q^48 + 170 * q^50 - 176 * q^51 + 48 * q^52 + 192 * q^53 - 312 * q^55 + 296 * q^56 + 88 * q^57 - 28 * q^58 - 72 * q^60 - 552 * q^61 - 12 * q^62 - 122 * q^63 - 392 * q^65 - 8 * q^66 - 72 * q^67 - 24 * q^68 + 100 * q^70 + 424 * q^71 - 176 * q^72 + 452 * q^73 + 604 * q^75 - 112 * q^76 + 356 * q^77 + 32 * q^78 + 16 * q^80 - 704 * q^81 + 148 * q^82 - 360 * q^83 + 428 * q^85 - 376 * q^86 - 462 * q^87 - 104 * q^88 - 510 * q^90 + 432 * q^91 - 192 * q^93 - 166 * q^95 - 1042 * q^97 - 88 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/230\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{4}{11}\right)$

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 $

$2$	0.100889	+	1.41061i	0.0504444	+	0.705305i
$2$	0.100889	+	1.41061i	0.0504444	+	0.705305i
$3$	2.24525	+	0.488423i	0.748415	+	0.162808i	0.570568	−	0.821250i	$-0.306723\pi$
$3$	2.24525	+	0.488423i	0.748415	+	0.162808i	0.177847	+	0.984058i	$0.443087\pi$
$4$	−1.97964	+	0.284630i	−0.494911	+	0.0711574i
$5$	−4.50267	−	2.17394i	−0.900533	−	0.434787i
$5$	−4.50267	−	2.17394i	−0.900533	−	0.434787i
$6$	−0.462455	+	3.21644i	−0.0770758	+	0.536074i
$7$	−5.91546	+	10.8334i	−0.845066	+	1.54762i	−0.00836402	+	0.999965i	$0.502662\pi$
$7$	−5.91546	+	10.8334i	−0.845066	+	1.54762i	−0.836702	+	0.547658i	$0.815519\pi$
$8$	−0.601225	−	2.76379i	−0.0751532	−	0.345474i
$9$	−3.38412	−	1.54548i	−0.376013	−	0.171719i
$10$	2.61231	−	6.57083i	0.261231	−	0.657083i
$11$	−2.49347	−	2.87762i	−0.226679	−	0.261602i	0.631005	−	0.775779i	$-0.282643\pi$
$11$	−2.49347	−	2.87762i	−0.226679	−	0.261602i	−0.857684	+	0.514177i	$0.828097\pi$
$12$	−4.58380	−	0.327840i	−0.381984	−	0.0273200i
$13$	−4.98482	−	9.12902i	−0.383448	−	0.702232i	0.612663	−	0.790344i	$-0.290098\pi$
$13$	−4.98482	−	9.12902i	−0.383448	−	0.702232i	−0.996111	+	0.0881122i	$0.971917\pi$
$14$	−15.8785	−	7.25145i	−1.13418	−	0.517961i
$15$	−9.04779	−	7.08023i	−0.603186	−	0.472015i
$16$	3.83797	−	1.12693i	0.239873	−	0.0704331i
$17$	13.1148	+	17.5194i	0.771461	+	1.03055i	0.998395	+	0.0566409i	$0.0180390\pi$
$17$	13.1148	+	17.5194i	0.771461	+	1.03055i	−0.226934	+	0.973910i	$0.572870\pi$
$18$	1.83864	−	4.92959i	0.102147	−	0.273866i
$19$	−26.0287	+	3.74236i	−1.36993	+	0.196966i	−0.787701	−	0.616057i	$-0.788729\pi$
$19$	−26.0287	+	3.74236i	−1.36993	+	0.196966i	−0.582230	+	0.813024i	$0.697820\pi$
$20$	9.53244	+	3.02202i	0.476622	+	0.151101i
$21$	−18.5729	+	21.4343i	−0.884425	+	1.02068i
$22$	3.80764	−	3.80764i	0.173075	−	0.173075i
$23$	−18.0769	+	14.2206i	−0.785953	+	0.618287i
$23$	−18.0769	+	14.2206i	−0.785953	+	0.618287i
$24$		−	6.49904i		−	0.270793i
$25$	15.5480	+	19.5770i	0.621920	+	0.783081i
$26$	12.3746	−	7.95266i	0.475945	−	0.305871i
$27$	−23.3984	−	17.5158i	−0.866606	−	0.648733i
$28$	8.62701	−	23.1299i	0.308107	−	0.826068i
$29$	39.9174	+	5.73925i	1.37646	+	0.197905i	0.790514	−	0.612444i	$-0.209814\pi$
$29$	39.9174	+	5.73925i	1.37646	+	0.197905i	0.585947	+	0.810349i	$0.300723\pi$
$30$	9.07462	−	13.4772i	0.302487	−	0.449241i
$31$	−15.1313	−	9.72432i	−0.488108	−	0.313688i	0.273336	−	0.961919i	$-0.411873\pi$
$31$	−15.1313	−	9.72432i	−0.488108	−	0.313688i	−0.761444	+	0.648231i	$0.775509\pi$
$32$	1.97687	+	5.30019i	0.0617771	+	0.165631i
$33$	−4.19296	−	7.67884i	−0.127060	−	0.232692i
$34$	−23.3899	+	20.2674i	−0.687937	+	0.596101i
$35$	50.1864	−	35.9192i	1.43390	−	1.02626i
$36$	7.13923	+	2.09627i	0.198312	+	0.0582297i
$37$	18.0418	+	48.3721i	0.487617	+	1.30735i	0.915063	+	0.403312i	$0.132141\pi$
$37$	18.0418	+	48.3721i	0.487617	+	1.30735i	−0.427445	+	0.904041i	$0.640586\pi$
$38$	−7.90502	−	36.3388i	−0.208027	−	0.956284i
$39$	−6.73332	−	22.9316i	−0.172649	−	0.587990i
$40$	−3.30118	+	13.7514i	−0.0825295	+	0.343786i
$41$	−24.4777	−	53.5987i	−0.597017	−	1.30728i	−0.931108	−	0.364744i	$-0.881157\pi$
$41$	−24.4777	−	53.5987i	−0.597017	−	1.30728i	0.334091	−	0.942541i	$-0.391571\pi$
$42$	−32.1093	−	24.0367i	−0.764506	−	0.572302i
$43$	26.9894	+	5.87118i	0.627659	+	0.136539i	0.515134	−	0.857110i	$-0.327742\pi$
$43$	26.9894	+	5.87118i	0.627659	+	0.136539i	0.112526	+	0.993649i	$0.464106\pi$
$44$	5.75525	+	4.98695i	0.130801	+	0.113340i
$45$	11.8778	+	14.3156i	0.263951	+	0.318125i
$46$	−21.8835	−	24.0648i	−0.475728	−	0.523147i
$47$	−24.0336	+	24.0336i	−0.511352	+	0.511352i	−0.914941	−	0.403588i	$-0.867763\pi$
$47$	−24.0336	+	24.0336i	−0.511352	+	0.511352i	0.403588	+	0.914941i	$0.367763\pi$
$48$	9.16761	−	0.655680i	0.190992	−	0.0136600i
$49$	−55.8776	−	86.9473i	−1.14036	−	1.77443i
$50$	−26.0469	+	23.9073i	−0.520938	+	0.478146i
$51$	20.8892	+	45.7409i	0.409591	+	0.896880i
$52$	12.4666	+	16.6534i	0.239741	+	0.320257i
$53$	46.2077	+	25.2313i	0.871844	+	0.476063i	0.851880	−	0.523738i	$-0.175463\pi$
$53$	46.2077	+	25.2313i	0.871844	+	0.476063i	0.0199646	+	0.999801i	$0.493645\pi$
$54$	22.3473	−	34.7731i	0.413839	−	0.643947i
$55$	4.97152	+	18.3776i	0.0903912	+	0.334139i
$56$	33.4977	+	9.83580i	0.598172	+	0.175639i
$57$	−60.2687	−	4.31050i	−1.05735	−	0.0756228i
$58$	−4.06863	+	56.8869i	−0.0701488	+	0.980808i
$59$	−25.0806	+	85.4165i	−0.425094	+	1.44774i	0.417247	+	0.908793i	$0.362995\pi$
$59$	−25.0806	+	85.4165i	−0.425094	+	1.44774i	−0.842341	+	0.538945i	$0.818823\pi$
$60$	19.9266	+	11.4410i	0.332111	+	0.190684i
$61$	63.3115	+	40.6879i	1.03789	+	0.667014i	0.944465	−	0.328612i	$-0.106581\pi$
$61$	63.3115	+	40.6879i	1.03789	+	0.667014i	0.0934291	+	0.995626i	$0.470217\pi$
$62$	12.1906	−	22.3255i	0.196623	−	0.360089i
$63$	36.7613	−	27.5192i	0.583513	−	0.436812i
$64$	−7.27706	+	3.32332i	−0.113704	+	0.0519269i
$65$	2.59909	+	51.9416i	0.0399860	+	0.799102i
$66$	10.4088	−	6.68935i	0.157710	−	0.101354i
$67$	−9.49588	−	132.770i	−0.141730	−	1.98164i	−0.185704	−	0.982606i	$-0.559457\pi$
$67$	−9.49588	−	132.770i	−0.141730	−	1.98164i	0.0439747	−	0.999033i	$-0.485998\pi$
$68$	−30.9492	−	30.9492i	−0.455136	−	0.455136i
$69$	−47.5328	+	23.0995i	−0.688881	+	0.334776i
$70$	55.7312	+	67.1696i	0.796160	+	0.959566i
$71$	−62.7784	+	72.4501i	−0.884203	+	1.02042i	0.115430	+	0.993316i	$0.463176\pi$
$71$	−62.7784	+	72.4501i	−0.884203	+	1.02042i	−0.999632	+	0.0271089i	$0.991370\pi$
$72$	−2.23675	+	10.2822i	−0.0310660	+	0.142808i
$73$	3.94905	−	5.27531i	0.0540966	−	0.0722646i	−0.772677	−	0.634799i	$-0.781083\pi$
$73$	3.94905	−	5.27531i	0.0540966	−	0.0722646i	0.826774	+	0.562535i	$0.190174\pi$
$74$	−66.4139	+	30.3302i	−0.897485	+	0.409868i
$75$	25.3472	+	51.5492i	0.337963	+	0.687323i
$76$	50.4623	−	14.8171i	0.663978	−	0.194962i
$77$	45.9244	−	9.99024i	0.596421	−	0.129743i
$78$	31.6682	−	11.8116i	0.406003	−	0.151431i
$79$	0.815426	−	2.77708i	0.0103218	−	0.0351530i	−0.954171	−	0.299262i	$-0.903260\pi$
$79$	0.815426	−	2.77708i	0.0103218	−	0.0351530i	0.964493	+	0.264109i	$0.0850778\pi$
$80$	−19.7310	−	3.26931i	−0.246637	−	0.0408664i
$81$	−22.0534	−	25.4509i	−0.272264	−	0.314209i
$82$	73.1373	−	39.9360i	0.891918	−	0.487024i
$83$	54.3113	−	20.2571i	0.654353	−	0.244061i	−0.000289184	−	1.00000i	$-0.500092\pi$
$83$	54.3113	−	20.2571i	0.654353	−	0.244061i	0.654642	+	0.755939i	$0.272819\pi$
$84$	30.6669	−	47.7187i	0.365083	−	0.568080i
$85$	−20.9657	−	107.395i	−0.246656	−	1.26347i
$86$	−5.55902	+	38.6638i	−0.0646397	+	0.449579i
$87$	86.8211	+	32.3826i	0.997944	+	0.372214i
$88$	−6.45400	+	8.62154i	−0.0733409	+	0.0979720i
$89$	72.6205	+	113.000i	0.815960	+	1.26966i	0.959976	+	0.280084i	$0.0903622\pi$
$89$	72.6205	+	113.000i	0.815960	+	1.26966i	−0.144015	+	0.989575i	$0.546001\pi$
$90$	−18.9954	+	18.1992i	−0.211060	+	0.202214i
$91$	128.386			1.41083
$92$	31.7382	−	33.2969i	0.344981	−	0.361923i
$93$	−29.2240	−	29.2240i	−0.314236	−	0.314236i
$94$	−36.3267	−	31.4773i	−0.386454	−	0.334864i
$95$	125.334	+	39.7341i	1.31931	+	0.418254i
$96$	1.84982	+	12.8658i	0.0192689	+	0.134018i
$97$	−78.8582	−	29.4126i	−0.812971	−	0.303222i	−0.0916216	−	0.995794i	$-0.529205\pi$
$97$	−78.8582	−	29.4126i	−0.812971	−	0.303222i	−0.721349	+	0.692571i	$0.756478\pi$
$98$	117.011	−	87.5936i	1.19399	−	0.893812i
$99$	3.99092	+	13.5918i	0.0403123	+	0.137291i
$100$	−36.3517	−	34.3301i	−0.363517	−	0.343301i
$101$	−41.7771	+	91.4792i	−0.413635	+	0.905734i	0.582069	+	0.813139i	$0.302243\pi$
$101$	−41.7771	+	91.4792i	−0.413635	+	0.905734i	−0.995704	+	0.0925948i	$0.970484\pi$
$102$	−62.4151	+	34.0812i	−0.611912	+	0.334129i
$103$	−4.54823	+	63.5926i	−0.0441576	+	0.617404i	0.926401	+	0.376539i	$0.122886\pi$
$103$	−4.54823	+	63.5926i	−0.0441576	+	0.617404i	−0.970559	+	0.240865i	$0.922569\pi$
$104$	−22.2337	+	19.2656i	−0.213785	+	0.185246i
$105$	130.225	−	56.1352i	1.24023	−	0.534621i
$106$	−30.9297	+	67.7267i	−0.291790	+	0.638931i
$107$	−91.3848	+	19.8796i	−0.854064	+	0.185790i	−0.618224	−	0.786002i	$-0.712148\pi$
$107$	−91.3848	+	19.8796i	−0.854064	+	0.185790i	−0.235840	+	0.971792i	$0.575784\pi$
$108$	51.3059	+	28.0152i	0.475055	+	0.259400i
$109$	−99.5857	−	14.3183i	−0.913630	−	0.131360i	−0.330563	−	0.943784i	$-0.607239\pi$
$109$	−99.5857	−	14.3183i	−0.913630	−	0.131360i	−0.583067	+	0.812424i	$0.698148\pi$
$110$	−25.4221	+	8.86697i	−0.231110	+	0.0806088i
$111$	16.8823	+	117.419i	0.152093	+	1.05783i
$112$	−10.4949	+	48.2445i	−0.0937048	+	0.430754i
$113$	49.4505	−	3.53677i	0.437615	−	0.0312989i	0.149206	−	0.988806i	$-0.452328\pi$
$113$	49.4505	−	3.53677i	0.437615	−	0.0312989i	0.288409	+	0.957507i	$0.406874\pi$
$114$		−	85.4505i		−	0.749566i
$115$	112.309	−	24.7325i	0.976600	−	0.215066i
$116$	−80.6557			−0.695308
$117$	2.76055	+	38.5976i	0.0235945	+	0.329894i
$118$	−123.020	−	26.7613i	−1.04254	−	0.226791i
$119$	−267.374	+	38.4426i	−2.24684	+	0.323047i
$120$	−14.1285	+	29.2630i	−0.117737	+	0.243858i
$121$	15.1568	−	105.418i	0.125263	−	0.871222i
$122$	−51.0073	+	93.4129i	−0.418092	+	0.765679i
$123$	−28.7796	−	132.298i	−0.233980	−	1.07559i
$124$	32.7225	+	14.9439i	0.263891	+	0.120515i
$125$	−27.4483	−	121.949i	−0.219587	−	0.975593i
$126$	42.5276	+	49.0795i	0.337521	+	0.389520i
$127$	−18.9160	−	1.35290i	−0.148945	−	0.0106528i	−0.00333251	−	0.999994i	$-0.501061\pi$
$127$	−18.9160	−	1.35290i	−0.148945	−	0.0106528i	−0.145613	+	0.989342i	$0.546515\pi$
$128$	−5.42208	−	9.92980i	−0.0423600	−	0.0775766i
$129$	57.7301	+	26.3645i	0.447520	+	0.204376i
$130$	−73.0071	+	8.90663i	−0.561593	+	0.0685125i
$131$	−129.567	+	38.0443i	−0.989060	+	0.290414i	−0.735959	−	0.677026i	$-0.763269\pi$
$131$	−129.567	+	38.0443i	−0.989060	+	0.290414i	−0.253101	+	0.967440i	$0.581450\pi$
$132$	10.4862	+	14.0079i	0.0794409	+	0.106121i
$133$	113.429	−	304.116i	0.852853	−	2.28659i
$134$	186.328	−	26.7900i	1.39051	−	0.199925i
$135$	67.2768	+	129.734i	0.498347	+	0.960995i
$136$	40.5349	−	46.7797i	0.298050	−	0.343969i
$137$	70.1094	−	70.1094i	0.511747	−	0.511747i	−0.403314	−	0.915062i	$-0.632142\pi$
$137$	70.1094	−	70.1094i	0.511747	−	0.511747i	0.915062	+	0.403314i	$0.132142\pi$
$138$	−37.3800	−	64.7197i	−0.270869	−	0.468984i
$139$		−	59.1407i		−	0.425473i	−0.977110	−	0.212736i	$-0.931762\pi$
$139$		−	59.1407i		−	0.425473i	0.977110	−	0.212736i	$-0.0682376\pi$
$140$	−89.1275	+	85.3917i	−0.636625	+	0.609941i
$141$	−65.6998	+	42.2227i	−0.465956	+	0.299452i
$142$	−108.533	−	81.2465i	−0.764314	−	0.572158i
$143$	−13.8403	+	37.1074i	−0.0967857	+	0.259492i
$144$	−14.7298	−	2.11782i	−0.102290	−	0.0147071i
$145$	−167.258	−	112.620i	−1.15350	−	0.776688i
$146$	7.83983	+	5.03835i	0.0536974	+	0.0345093i
$147$	−82.9919	−	222.510i	−0.564571	−	1.51367i
$148$	−49.4845	−	90.6242i	−0.334355	−	0.612325i
$149$	−85.3117	+	73.9230i	−0.572562	+	0.496127i	−0.892339	−	0.451365i	$-0.850937\pi$
$149$	−85.3117	+	73.9230i	−0.572562	+	0.496127i	0.319778	+	0.947493i	$0.396392\pi$
$150$	−70.1586	+	40.9558i	−0.467724	+	0.273039i
$151$	−146.886	−	43.1296i	−0.972754	−	0.285626i	−0.243524	−	0.969895i	$-0.578303\pi$
$151$	−146.886	−	43.1296i	−0.972754	−	0.285626i	−0.729230	+	0.684269i	$0.760122\pi$
$152$	25.9922	+	69.6878i	0.171001	+	0.458473i
$153$	−17.3064	−	79.5563i	−0.113114	−	0.519976i
$154$	18.7256	+	63.7735i	0.121595	+	0.414114i
$155$	46.9913	+	76.6799i	0.303170	+	0.494709i
$156$	19.8566	+	43.4799i	0.127286	+	0.278717i
$157$	−69.0772	−	51.7105i	−0.439982	−	0.329366i	0.356215	−	0.934404i	$-0.384067\pi$
$157$	−69.0772	−	51.7105i	−0.439982	−	0.329366i	−0.796197	+	0.605038i	$0.793158\pi$
$158$	3.99965	+	0.870071i	0.0253142	+	0.00550678i
$159$	91.4241	+	79.2195i	0.574995	+	0.498236i
$160$	2.62109	−	28.1626i	0.0163818	−	0.176016i
$161$	−47.1235	−	279.955i	−0.292693	−	1.73885i
$162$	33.6764	−	33.6764i	0.207879	−	0.207879i
$163$	74.7491	−	5.34616i	0.458583	−	0.0327985i	0.159863	−	0.987139i	$-0.448895\pi$
$163$	74.7491	−	5.34616i	0.458583	−	0.0327985i	0.298720	+	0.954341i	$0.403440\pi$
$164$	63.7129	+	99.1392i	0.388493	+	0.604507i
$165$	2.18621	+	43.6905i	0.0132498	+	0.264791i
$166$	34.0542	+	74.5684i	0.205146	+	0.449207i
$167$	−55.5553	−	74.2132i	−0.332666	−	0.444390i	0.602754	−	0.797927i	$-0.294070\pi$
$167$	−55.5553	−	74.2132i	−0.332666	−	0.444390i	−0.935421	+	0.353537i	$0.884979\pi$
$168$	70.4064	+	38.4448i	0.419086	+	0.228838i
$169$	32.8778	−	51.1588i	0.194543	−	0.302715i
$170$	149.377	−	40.4094i	0.878687	−	0.237703i
$171$	93.8679	+	27.5621i	0.548935	+	0.161182i
$172$	−55.1004	−	3.94086i	−0.320351	−	0.0229120i
$173$	3.18900	−	44.5881i	0.0184335	−	0.257735i	−0.979876	−	0.199609i	$-0.936033\pi$
$173$	3.18900	−	44.5881i	0.0184335	−	0.257735i	0.998309	−	0.0581260i	$-0.0185125\pi$
$174$	−36.9199	+	125.738i	−0.212184	+	0.722631i
$175$	−304.059	+	52.6301i	−1.73748	+	0.300743i
$176$	−12.8128	−	8.23426i	−0.0727998	−	0.0467856i
$177$	−98.0314	+	179.531i	−0.553850	+	1.01430i
$178$	−152.072	+	113.840i	−0.854337	+	0.639548i
$179$	38.7227	−	17.6840i	0.216328	−	0.0987936i	−0.304304	−	0.952575i	$-0.598424\pi$
$179$	38.7227	−	17.6840i	0.216328	−	0.0987936i	0.520632	+	0.853781i	$0.325697\pi$
$180$	−27.5884	−	24.9590i	−0.153269	−	0.138661i
$181$	22.7149	−	14.5980i	0.125497	−	0.0806518i	−0.476386	−	0.879236i	$-0.658054\pi$
$181$	22.7149	−	14.5980i	0.125497	−	0.0806518i	0.601883	+	0.798584i	$0.294417\pi$
$182$	12.9527	+	181.102i	0.0711685	+	0.995065i
$183$	122.277	+	122.277i	0.668181	+	0.668181i
$184$	50.1710	+	41.4110i	0.272669	+	0.225060i
$185$	23.9213	−	257.025i	0.129305	−	1.38932i
$186$	38.2753	−	44.1720i	0.205781	−	0.237484i
$187$	17.7126	−	81.4237i	0.0947200	−	0.435421i
$188$	40.7372	−	54.4185i	0.216687	−	0.289460i
$189$	328.167	−	149.869i	1.73633	−	0.792957i
$190$	−43.4045	+	180.806i	−0.228445	+	0.951613i
$191$	−71.6868	+	21.0491i	−0.375323	+	0.110205i	−0.463953	−	0.885860i	$-0.653569\pi$
$191$	−71.6868	+	21.0491i	−0.375323	+	0.110205i	0.0886297	+	0.996065i	$0.471751\pi$
$192$	−17.9620	+	3.90739i	−0.0935519	+	0.0203510i
$193$	−210.853	+	78.6441i	−1.09250	+	0.407482i	−0.830178	−	0.557498i	$-0.811761\pi$
$193$	−210.853	+	78.6441i	−1.09250	+	0.407482i	−0.262324	+	0.964980i	$0.584489\pi$
$194$	33.5338	−	114.206i	0.172855	−	0.588688i
$195$	−19.5339	+	117.891i	−0.100174	+	0.604570i
$196$	135.366	+	156.220i	0.690640	+	0.797042i
$197$	130.726	−	71.3819i	0.663585	−	0.362345i	−0.111892	−	0.993720i	$-0.535691\pi$
$197$	130.726	−	71.3819i	0.663585	−	0.362345i	0.775477	+	0.631376i	$0.217509\pi$
$198$	−18.7701	+	7.00089i	−0.0947986	+	0.0353580i
$199$	−82.8176	+	128.867i	−0.416169	+	0.647571i	−0.984532	−	0.175207i	$-0.943941\pi$
$199$	−82.8176	+	128.867i	−0.416169	+	0.647571i	0.568363	+	0.822778i	$0.307577\pi$
$200$	44.7589	−	54.7416i	0.223794	−	0.273708i
$201$	43.5273	−	302.739i	0.216554	−	1.50616i
$202$	−133.256	−	49.7020i	−0.659685	−	0.246050i
$203$	−298.305	+	398.489i	−1.46948	+	1.96300i
$204$	−54.3723	−	84.6049i	−0.266531	−	0.414730i
$205$	−6.30517	+	294.550i	−0.0307569	+	1.43683i
$206$	−90.1633			−0.437686
$207$	83.1520	−	20.1868i	0.401700	−	0.0975205i
$208$	−29.4194	−	29.4194i	−0.141439	−	0.141439i
$209$	75.6710	+	65.5693i	0.362062	+	0.313729i
$210$	92.3231	+	178.033i	0.439634	+	0.847774i
$211$	18.1948	+	126.547i	0.0862311	+	0.599751i	0.986419	+	0.164249i	$0.0525200\pi$
$211$	18.1948	+	126.547i	0.0862311	+	0.599751i	−0.900188	+	0.435502i	$0.856571\pi$
$212$	−98.6564	−	36.7969i	−0.465360	−	0.173570i
$213$	−176.339	+	132.006i	−0.827884	+	0.619746i
$214$	−37.2620	−	126.903i	−0.174122	−	0.593003i
$215$	−108.761	−	85.1091i	−0.505863	−	0.395856i
$216$	−34.3423	+	75.1991i	−0.158992	+	0.348144i
$217$	194.856	−	106.399i	0.897954	−	0.490320i
$218$	10.1504	−	141.921i	0.0465615	−	0.651014i
$219$	11.4432	−	9.91557i	0.0522519	−	0.0452766i
$220$	−15.0726	−	34.9661i	−0.0685120	−	0.158937i
$221$	94.5595	−	207.057i	0.427871	−	0.936907i
$222$	−163.930	+	35.6607i	−0.738421	+	0.160634i
$223$	276.409	+	150.931i	1.23950	+	0.676819i	0.959101	−	0.283064i	$-0.0913507\pi$
$223$	276.409	+	150.931i	1.23950	+	0.676819i	0.280401	+	0.959883i	$0.409533\pi$
$224$	−69.1129	−	9.93694i	−0.308540	−	0.0443613i
$225$	−22.3605	−	90.2800i	−0.0993801	−	0.401244i
$226$	9.97801	+	69.3986i	0.0441505	+	0.307073i
$227$	14.4761	−	66.5454i	0.0637712	−	0.293151i	−0.934205	−	0.356736i	$-0.883890\pi$
$227$	14.4761	−	66.5454i	0.0637712	−	0.293151i	0.997976	+	0.0635845i	$0.0202532\pi$
$228$	120.537	−	8.62100i	0.528673	−	0.0378114i
$229$		−	34.6688i		−	0.151392i	−0.997131	−	0.0756961i	$-0.975882\pi$
$229$		−	34.6688i		−	0.151392i	0.997131	−	0.0756961i	$-0.0241179\pi$
$230$	46.2187	+	155.929i	0.200951	+	0.677952i
$231$	107.991			0.467493
$232$	−8.13726	−	113.774i	−0.0350744	−	0.490404i
$233$	119.114	+	25.9116i	0.511218	+	0.111209i	0.460773	−	0.887518i	$-0.347572\pi$
$233$	119.114	+	25.9116i	0.511218	+	0.111209i	0.0504454	+	0.998727i	$0.483936\pi$
$234$	−54.1677	+	7.78813i	−0.231486	+	0.0332826i
$235$	160.462	−	55.9677i	0.682819	−	0.238160i
$236$	25.3385	−	176.233i	0.107366	−	0.746749i
$237$	3.18722	−	5.83696i	0.0134482	−	0.0246285i
$238$	−81.2026	−	373.282i	−0.341187	−	1.56841i
$239$	66.1764	+	30.2217i	0.276889	+	0.126451i	0.549020	−	0.835809i	$-0.315001\pi$
$239$	66.1764	+	30.2217i	0.276889	+	0.126451i	−0.272131	+	0.962260i	$0.587728\pi$
$240$	−42.7041	−	16.9775i	−0.177934	−	0.0707395i
$241$	−66.5606	−	76.8150i	−0.276185	−	0.318735i	0.600663	−	0.799502i	$-0.294903\pi$
$241$	−66.5606	−	76.8150i	−0.276185	−	0.318735i	−0.876848	+	0.480768i	$0.840358\pi$
$242$	150.233	+	10.7449i	0.620796	+	0.0444002i
$243$	88.9838	+	162.962i	0.366189	+	0.670624i
$244$	−136.915	−	62.5271i	−0.561128	−	0.256259i
$245$	62.5805	+	512.969i	0.255431	+	2.09375i
$246$	183.717	−	53.9441i	0.746817	−	0.219285i
$247$	163.913	+	218.961i	0.663613	+	0.886484i
$248$	−17.7786	+	47.6663i	−0.0716880	+	0.192203i
$249$	131.836	−	18.9552i	0.529463	−	0.0761252i
$250$	169.253	−	51.0222i	0.677014	−	0.204089i
$251$	−48.4005	+	55.8572i	−0.192831	+	0.222538i	−0.843929	−	0.536455i	$-0.819763\pi$
$251$	−48.4005	+	55.8572i	−0.192831	+	0.222538i	0.651098	+	0.758993i	$0.274309\pi$
$252$	−64.9415	+	64.9415i	−0.257704	+	0.257704i
$253$	85.9958	+	16.5599i	0.339904	+	0.0654540i
$254$		−	26.8196i		−	0.105589i
$255$	5.38081	−	251.368i	0.0211012	−	0.985755i
$256$	13.4601	−	8.65025i	0.0525783	−	0.0337901i
$257$	−115.230	−	86.2599i	−0.448365	−	0.335642i	0.351118	−	0.936331i	$-0.385802\pi$
$257$	−115.230	−	86.2599i	−0.448365	−	0.335642i	−0.799482	+	0.600690i	$0.794893\pi$
$258$	−31.3657	+	84.0946i	−0.121572	+	0.325948i
$259$	−630.758	−	90.6893i	−2.43536	−	0.350152i
$260$	−19.9294	−	102.086i	−0.0766515	−	0.392639i
$261$	−126.215	−	81.1136i	−0.483583	−	0.310780i
$262$	−66.7375	−	178.930i	−0.254723	−	0.682939i
$263$	−25.8376	−	47.3181i	−0.0982420	−	0.179917i	0.823936	−	0.566683i	$-0.191774\pi$
$263$	−25.8376	−	47.3181i	−0.0982420	−	0.179917i	−0.922178	+	0.386767i	$0.873592\pi$
$264$	−18.7018	+	16.2052i	−0.0708401	+	0.0613833i
$265$	−153.207	−	214.061i	−0.578139	−	0.807777i
$266$	440.433	+	129.323i	1.65576	+	0.486176i
$267$	107.859	+	289.182i	0.403967	+	1.08308i
$268$	56.5887	+	260.134i	0.211152	+	0.970649i
$269$	50.3363	+	171.430i	0.187124	+	0.637286i	0.998600	+	0.0528998i	$0.0168464\pi$
$269$	50.3363	+	171.430i	0.187124	+	0.637286i	−0.811476	+	0.584386i	$0.801335\pi$
$270$	−176.217	+	107.990i	−0.652656	+	0.399963i
$271$	−141.000	−	308.748i	−0.520297	−	1.13929i	−0.969327	−	0.245775i	$-0.920958\pi$
$271$	−141.000	−	308.748i	−0.520297	−	1.13929i	0.449030	−	0.893517i	$-0.351770\pi$
$272$	70.0775	+	52.4593i	0.257638	+	0.192865i
$273$	288.257	+	62.7065i	1.05589	+	0.229694i
$274$	105.970	+	91.8237i	0.386753	+	0.335123i
$275$	17.5667	−	93.5561i	0.0638789	−	0.340204i
$276$	87.5231	−	59.2581i	0.317113	−	0.214703i
$277$	−237.761	+	237.761i	−0.858344	+	0.858344i	−0.991143	−	0.132799i	$-0.957603\pi$
$277$	−237.761	+	237.761i	−0.858344	+	0.858344i	0.132799	+	0.991143i	$0.457603\pi$
$278$	83.4245	−	5.96664i	0.300088	−	0.0214627i
$279$	36.1775	+	56.2933i	0.129669	+	0.201768i
$280$	−129.446	−	117.109i	−0.462308	−	0.418247i
$281$	118.549	+	259.586i	0.421883	+	0.923794i	0.994575	+	0.104024i	$0.0331718\pi$
$281$	118.549	+	259.586i	0.421883	+	0.923794i	−0.572692	+	0.819771i	$0.694101\pi$
$282$	−66.1881	−	88.4170i	−0.234710	−	0.313535i
$283$	−56.6865	−	30.9531i	−0.200306	−	0.109375i	0.375966	−	0.926634i	$-0.377311\pi$
$283$	−56.6865	−	30.9531i	−0.200306	−	0.109375i	−0.576271	+	0.817258i	$0.695493\pi$
$284$	103.657	−	161.294i	0.364991	−	0.567937i
$285$	261.999	+	150.429i	0.919295	+	0.527821i
$286$	−53.7404	−	15.7796i	−0.187904	−	0.0551735i
$287$	725.451	+	51.8853i	2.52770	+	0.180785i
$288$	1.50135	−	20.9917i	0.00521303	−	0.0728877i
$289$	−53.5087	+	182.234i	−0.185151	+	0.630567i
$290$	141.988	−	247.298i	0.489614	−	0.852751i
$291$	−162.690	−	104.555i	−0.559073	−	0.359294i
$292$	−6.31620	+	11.5673i	−0.0216308	+	0.0396139i
$293$	−76.2644	+	57.0908i	−0.260288	+	0.194849i	−0.721449	−	0.692467i	$-0.756524\pi$
$293$	−76.2644	+	57.0908i	−0.260288	+	0.194849i	0.461162	+	0.887316i	$0.347433\pi$
$294$	305.502	−	139.518i	1.03912	−	0.474551i
$295$	298.619	−	330.079i	1.01227	−	1.11891i
$296$	122.843	−	78.9464i	0.415010	−	0.266711i
$297$	7.93937	+	111.007i	0.0267319	+	0.373761i
$298$	−112.884	−	112.884i	−0.378804	−	0.378804i
$299$	219.930	+	94.1374i	0.735553	+	0.314841i
$300$	−64.8509	−	94.8344i	−0.216170	−	0.316115i
$301$	−223.259	+	257.655i	−0.741725	+	0.855996i
$302$	46.0199	−	211.550i	0.152384	−	0.700496i
$303$	−138.480	+	184.988i	−0.457031	+	0.610522i
$304$	−95.6800	+	43.6956i	−0.314737	+	0.143736i
$305$	−196.618	−	320.839i	−0.644649	−	1.05193i
$306$	110.477	−	32.4389i	0.361036	−	0.106010i
$307$	109.162	−	23.7467i	0.355575	−	0.0773507i	−0.0312296	−	0.999512i	$-0.509942\pi$
$307$	109.162	−	23.7467i	0.355575	−	0.0773507i	0.386805	+	0.922162i	$0.373579\pi$
$308$	−88.0704	+	32.8486i	−0.285943	+	0.106651i
$309$	−41.2720	+	140.560i	−0.133566	+	0.454885i
$310$	−103.425	+	74.0226i	−0.333628	+	0.238782i
$311$	134.483	+	155.202i	0.432423	+	0.499043i	0.929581	−	0.368617i	$-0.120169\pi$
$311$	134.483	+	155.202i	0.432423	+	0.499043i	−0.497158	+	0.867660i	$0.665623\pi$
$312$	−59.3298	+	32.3965i	−0.190160	+	0.103835i
$313$	−444.227	+	165.688i	−1.41926	+	0.529355i	−0.937819	−	0.347125i	$-0.887158\pi$
$313$	−444.227	+	165.688i	−1.41926	+	0.529355i	−0.481437	+	0.876481i	$0.659885\pi$
$314$	65.9743	−	102.658i	0.210109	−	0.326936i
$315$	−225.349	+	43.9929i	−0.715393	+	0.139660i
$316$	−0.823811	+	5.72973i	−0.00260700	+	0.0181321i
$317$	519.784	+	193.869i	1.63970	+	0.611576i	0.989020	−	0.147779i	$-0.0472124\pi$
$317$	519.784	+	193.869i	1.63970	+	0.611576i	0.650677	+	0.759355i	$0.274485\pi$
$318$	−102.524	+	136.956i	−0.322403	+	0.430680i
$319$	−83.0175	−	129.178i	−0.260243	−	0.404946i
$320$	39.9908	+	0.856049i	0.124971	+	0.00267515i
$321$	−214.891			−0.669442
$322$	390.153	−	94.7173i	1.21166	−	0.294153i
$323$	−406.926	−	406.926i	−1.25983	−	1.25983i
$324$	50.9019	+	44.1067i	0.157105	+	0.136132i
$325$	101.215	−	239.526i	0.311430	−	0.737003i
$326$	15.0827	+	104.902i	0.0462660	+	0.321787i
$327$	−216.601	−	80.7880i	−0.662388	−	0.247058i
$328$	−133.419	+	99.8761i	−0.406765	+	0.304500i
$329$	−118.195	−	402.534i	−0.359254	−	1.22351i
$330$	−61.4097	+	7.49178i	−0.186090	+	0.0227024i
$331$	234.775	−	514.085i	0.709289	−	1.55313i	−0.119043	−	0.992889i	$-0.537983\pi$
$331$	234.775	−	514.085i	0.709289	−	1.55313i	0.828332	−	0.560237i	$-0.189290\pi$
$332$	−101.751	+	55.5604i	−0.306480	+	0.167350i
$333$	13.7021	−	191.580i	0.0411474	−	0.575315i
$334$	99.0810	−	85.8541i	0.296650	−	0.257048i
$335$	−245.876	+	618.461i	−0.733959	+	1.84615i
$336$	−47.1274	+	103.195i	−0.140260	+	0.307127i
$337$	347.625	−	75.6211i	1.03153	−	0.224395i	0.335221	−	0.942140i	$-0.391189\pi$
$337$	347.625	−	75.6211i	1.03153	−	0.224395i	0.696306	+	0.717745i	$0.254826\pi$
$338$	75.4821	+	41.2163i	0.223320	+	0.121942i
$339$	112.756	+	16.2119i	0.332614	+	0.0478226i
$340$	72.0724	+	206.636i	0.211978	+	0.607752i
$341$	9.74667	+	67.7896i	0.0285826	+	0.198797i
$342$	−29.4092	+	135.192i	−0.0859917	+	0.395298i
$343$	669.198	−	47.8620i	1.95101	−	0.139539i
$344$		−	78.1228i		−	0.227101i
$345$	264.241	−	0.676324i	0.765916	−	0.00196036i
$346$	63.2181			0.182711
$347$	32.9613	+	460.859i	0.0949894	+	1.32812i	0.791761	+	0.610831i	$0.209165\pi$
$347$	32.9613	+	460.859i	0.0949894	+	1.32812i	−0.696771	+	0.717293i	$0.745381\pi$
$348$	−181.092	−	39.3941i	−0.520379	−	0.113201i
$349$	−26.5030	+	3.81055i	−0.0759397	+	0.0109185i	−0.180180	−	0.983634i	$-0.557668\pi$
$349$	−26.5030	+	3.81055i	−0.0759397	+	0.0109185i	0.104240	+	0.994552i	$0.466759\pi$
$350$	−104.917	−	423.598i	−0.299762	−	1.21028i
$351$	−43.2654	+	300.917i	−0.123263	+	0.857314i
$352$	10.3227	−	18.9046i	0.0293258	−	0.0537061i
$353$	15.9016	+	73.0984i	0.0450469	+	0.207077i	0.994169	−	0.107830i	$-0.0343902\pi$
$353$	15.9016	+	73.0984i	0.0450469	+	0.207077i	−0.949122	+	0.314907i	$0.898027\pi$
$354$	−263.139	−	120.171i	−0.743330	−	0.339467i
$355$	440.172	−	189.743i	1.23992	−	0.534486i
$356$	−175.926	−	203.029i	−0.494173	−	0.570306i
$357$	−619.097	−	44.2787i	−1.73416	−	0.124030i
$358$	28.8520	+	52.8385i	0.0805921	+	0.147593i
$359$	171.548	+	78.3435i	0.477850	+	0.218227i	0.639754	−	0.768580i	$-0.279036\pi$
$359$	171.548	+	78.3435i	0.477850	+	0.218227i	−0.161904	+	0.986807i	$0.551763\pi$
$360$	32.4241	−	41.4346i	0.0900669	−	0.115096i
$361$	317.111	−	93.1122i	0.878424	−	0.257928i
$362$	22.8837	+	30.5691i	0.0632147	+	0.0844450i
$363$	85.5192	−	229.286i	0.235590	−	0.631642i
$364$	−254.157	+	36.5423i	−0.698235	+	0.100391i
$365$	−29.2494	+	15.1680i	−0.0801355	+	0.0415562i
$366$	−160.149	+	184.822i	−0.437565	+	0.504977i
$367$	−22.9747	+	22.9747i	−0.0626013	+	0.0626013i	−0.737714	−	0.675113i	$-0.764095\pi$
$367$	−22.9747	+	22.9747i	−0.0626013	+	0.0626013i	0.675113	+	0.737714i	$0.264095\pi$
$368$	−53.3531	+	74.9497i	−0.144981	+	0.203668i
$369$			219.214i			0.594076i
$370$	364.976	+	7.81272i	0.986421	+	0.0211155i
$371$	−546.680	+	351.330i	−1.47353	+	0.946982i
$372$	66.1710	+	49.5350i	0.177879	+	0.133159i
$373$	−187.727	+	503.317i	−0.503291	+	1.34937i	0.398487	+	0.917174i	$0.369535\pi$
$373$	−187.727	+	503.317i	−0.503291	+	1.34937i	−0.901778	+	0.432200i	$0.857737\pi$
$374$	116.644	+	16.7709i	0.311882	+	0.0448419i
$375$	−2.06544	−	287.212i	−0.00550785	−	0.765899i
$376$	80.8732	+	51.9741i	0.215088	+	0.138229i
$377$	−146.587	−	393.016i	−0.388826	−	1.04248i
$378$	244.515	+	447.796i	0.646865	+	1.18465i
$379$	−304.370	+	263.738i	−0.803086	+	0.695878i	−0.956323	−	0.292312i	$-0.905576\pi$
$379$	−304.370	+	263.738i	−0.803086	+	0.695878i	0.153237	+	0.988189i	$0.451030\pi$
$380$	−259.426	−	42.9855i	−0.682701	−	0.113120i
$381$	−41.8103	−	12.2766i	−0.109738	−	0.0322221i
$382$	−36.9245	−	98.9985i	−0.0966611	−	0.259158i
$383$	107.269	+	493.107i	0.280075	+	1.28749i	0.875164	+	0.483826i	$0.160753\pi$
$383$	107.269	+	493.107i	0.280075	+	1.28749i	−0.595089	+	0.803660i	$0.702883\pi$
$384$	−7.32396	−	24.9431i	−0.0190728	−	0.0649560i
$385$	−228.500	−	54.8539i	−0.593507	−	0.142478i
$386$	−132.209	−	289.497i	−0.342510	−	0.749992i
$387$	−82.2614	−	61.5801i	−0.212562	−	0.159122i
$388$	164.483	+	35.7810i	0.423925	+	0.0922191i
$389$	311.134	+	269.599i	0.799829	+	0.693056i	0.955577	−	0.294741i	$-0.0952333\pi$
$389$	311.134	+	269.599i	0.799829	+	0.693056i	−0.155748	+	0.987797i	$0.549779\pi$
$390$	−168.269	−	15.6608i	−0.431459	−	0.0401559i
$391$	−486.212	−	130.195i	−1.24351	−	0.332980i
$392$	−206.709	+	206.709i	−0.527319	+	0.527319i
$393$	−309.491	+	22.1352i	−0.787509	+	0.0563238i
$394$	113.881	+	177.202i	0.289038	+	0.449751i
$395$	−9.70879	+	10.7316i	−0.0245792	+	0.0271686i
$396$	−11.7692	−	25.7710i	−0.0297203	−	0.0650783i
$397$	167.413	+	223.637i	0.421695	+	0.563319i	0.960203	−	0.279302i	$-0.0901029\pi$
$397$	167.413	+	223.637i	0.421695	+	0.563319i	−0.538508	+	0.842620i	$0.681012\pi$
$398$	−190.136	−	103.822i	−0.477729	−	0.260860i
$399$	403.214	−	627.414i	1.01056	−	1.57247i
$400$	81.7347	+	57.6145i	0.204337	+	0.144036i
$401$	−368.841	−	108.302i	−0.919803	−	0.270079i	−0.212641	−	0.977130i	$-0.568207\pi$
$401$	−368.841	−	108.302i	−0.919803	−	0.270079i	−0.707162	+	0.707052i	$0.750025\pi$
$402$	431.438	+	30.8570i	1.07323	+	0.0767588i
$403$	−13.3465	+	186.608i	−0.0331178	+	0.463048i
$404$	56.6661	−	192.987i	0.140263	−	0.477691i
$405$	43.9702	+	162.540i	0.108568	+	0.401332i
$406$	−592.208	−	380.589i	−1.45864	−	0.937412i
$407$	94.2097	−	172.532i	0.231473	−	0.423912i
$408$	113.859	−	85.2338i	0.279066	−	0.208906i
$409$	290.158	−	132.511i	0.709433	−	0.323987i	−0.0278114	−	0.999613i	$-0.508854\pi$
$409$	290.158	−	132.511i	0.709433	−	0.323987i	0.737245	+	0.675626i	$0.236127\pi$
$410$	−416.131	+	20.8227i	−1.01495	+	0.0507870i
$411$	191.656	−	123.170i	0.466316	−	0.299683i
$412$	−9.09647	−	127.185i	−0.0220788	−	0.308702i
$413$	−776.985	−	776.985i	−1.88132	−	1.88132i
$414$	36.8647	+	115.258i	0.0890453	+	0.278402i
$415$	−288.583	−	26.8584i	−0.695381	−	0.0647192i
$416$	38.5312	−	44.4674i	0.0926230	−	0.106893i
$417$	28.8857	−	132.785i	0.0692703	−	0.318430i
$418$	−84.8584	+	113.358i	−0.203010	+	0.271190i
$419$	−18.2173	+	8.31957i	−0.0434781	+	0.0198558i	−0.437035	−	0.899444i	$-0.643972\pi$
$419$	−18.2173	+	8.31957i	−0.0434781	+	0.0198558i	0.393557	+	0.919300i	$0.371244\pi$
$420$	−241.820	+	148.193i	−0.575763	+	0.352841i
$421$	−339.604	+	99.7166i	−0.806659	+	0.236857i	−0.658962	−	0.752176i	$-0.729004\pi$
$421$	−339.604	+	99.7166i	−0.806659	+	0.236857i	−0.147697	+	0.989033i	$0.547186\pi$
$422$	−176.673	+	38.4329i	−0.418657	+	0.0910733i
$423$	118.476	−	44.1891i	0.280084	−	0.104466i
$424$	41.9528	−	142.878i	0.0989453	−	0.336977i
$425$	−139.067	+	529.141i	−0.327217	+	1.24504i
$426$	−204.000	−	235.428i	−0.478872	−	0.552648i
$427$	−815.303	+	445.189i	−1.90938	+	1.04260i
$428$	175.251	−	65.3652i	0.409465	−	0.152723i
$429$	−49.1991	+	76.5553i	−0.114683	+	0.178451i
$430$	109.083	−	162.005i	0.253681	−	0.376756i
$431$	55.6803	−	387.265i	0.129189	−	0.898526i	−0.817397	−	0.576074i	$-0.804584\pi$
$431$	55.6803	−	387.265i	0.129189	−	0.898526i	0.946586	−	0.322452i	$-0.104507\pi$
$432$	−109.541	−	40.8568i	−0.253568	−	0.0945760i
$433$	−435.029	+	581.131i	−1.00469	+	1.34210i	−0.0658165	+	0.997832i	$0.520965\pi$
$433$	−435.029	+	581.131i	−1.00469	+	1.34210i	−0.938870	+	0.344272i	$0.888126\pi$
$434$	169.747	+	264.131i	0.391122	+	0.608597i
$435$	−320.529	−	334.552i	−0.736848	−	0.769084i
$436$	201.219			0.461513
$437$	417.300	−	437.794i	0.954920	−	1.00182i
$438$	15.1415	+	15.1415i	0.0345696	+	0.0345696i
$439$	−432.577	−	374.830i	−0.985369	−	0.853827i	0.00389128	−	0.999992i	$-0.498761\pi$
$439$	−432.577	−	374.830i	−0.985369	−	0.853827i	−0.989260	+	0.146165i	$0.953307\pi$
$440$	47.8029	−	24.7893i	0.108643	−	0.0563394i
$441$	54.7216	+	380.597i	0.124085	+	0.863033i
$442$	301.616	+	112.497i	0.682389	+	0.254518i
$443$	332.205	−	248.686i	0.749899	−	0.561367i	−0.154532	−	0.987988i	$-0.549387\pi$
$443$	332.205	−	248.686i	0.749899	−	0.561367i	0.904431	+	0.426620i	$0.140296\pi$
$444$	−66.8420	−	227.643i	−0.150545	−	0.512709i
$445$	−81.3318	−	666.672i	−0.182768	−	1.49814i
$446$	−185.018	+	405.133i	−0.414838	+	0.908369i
$447$	−227.651	+	124.307i	−0.509287	+	0.278092i
$448$	7.04443	−	98.4940i	0.0157242	−	0.219853i
$449$	−50.4367	+	43.7036i	−0.112331	+	0.0973355i	−0.709215	−	0.704992i	$-0.750951\pi$
$449$	−50.4367	+	43.7036i	−0.112331	+	0.0973355i	0.596884	+	0.802327i	$0.296405\pi$
$450$	125.094	−	40.6502i	0.277987	−	0.0903338i
$451$	−93.2023	+	204.084i	−0.206657	+	0.452516i
$452$	−96.8877	+	21.0766i	−0.214353	+	0.0466297i
$453$	−308.729	−	168.579i	−0.681521	−	0.372139i
$454$	95.3300	+	13.7064i	0.209978	+	0.0301903i
$455$	−578.077	−	279.102i	−1.27050	−	0.613411i
$456$	24.3217	+	169.161i	0.0533372	+	0.370968i
$457$	−140.197	+	644.476i	−0.306777	+	1.41023i	0.523093	+	0.852275i	$0.324778\pi$
$457$	−140.197	+	644.476i	−0.306777	+	1.41023i	−0.829870	+	0.557956i	$0.811586\pi$
$458$	48.9042	−	3.49770i	0.106778	−	0.00763689i
$459$		−	639.641i		−	1.39355i
$460$	−215.292	+	80.9281i	−0.468026	+	0.175931i
$461$	480.497			1.04229			0.521146	−	0.853467i	$-0.325505\pi$
$461$	480.497			1.04229			0.521146	+	0.853467i	$0.325505\pi$
$462$	10.8951	+	152.333i	0.0235824	+	0.329726i
$463$	273.834	+	59.5689i	0.591434	+	0.128658i	0.498314	−	0.866996i	$-0.333953\pi$
$463$	273.834	+	59.5689i	0.591434	+	0.128658i	0.0931193	+	0.995655i	$0.470316\pi$
$464$	159.669	−	22.9570i	0.344115	−	0.0494763i
$465$	68.0548	+	195.117i	0.146354	+	0.419606i
$466$	−24.5340	+	170.637i	−0.0526480	+	0.366175i
$467$	−332.768	+	609.419i	−0.712565	+	1.30497i	0.230732	+	0.973017i	$0.425888\pi$
$467$	−332.768	+	609.419i	−0.712565	+	1.30497i	−0.943297	+	0.331949i	$0.892294\pi$
$468$	−16.4509	−	75.6237i	−0.0351516	−	0.161589i
$469$	1494.52	+	682.522i	3.18660	+	1.45527i
$470$	95.1374	+	220.703i	0.202420	+	0.469582i
$471$	−129.839	−	149.842i	−0.275666	−	0.318135i
$472$	251.152	+	17.9628i	0.532102	+	0.0380567i
$473$	−50.4022	−	92.3048i	−0.106559	−	0.195148i
$474$	8.55524	+	3.90705i	0.0180490	+	0.00824271i
$475$	−477.959	−	451.378i	−1.00623	−	0.950269i
$476$	518.363	−	152.205i	1.08900	−	0.319759i
$477$	−117.378	−	156.799i	−0.246076	−	0.328719i
$478$	−35.9546	+	96.3981i	−0.0752189	+	0.201670i
$479$	−465.277	+	66.8967i	−0.971350	+	0.139659i	−0.609680	−	0.792647i	$-0.708702\pi$
$479$	−465.277	+	66.8967i	−0.971350	+	0.139659i	−0.361669	+	0.932306i	$0.617793\pi$
$480$	19.6402	−	61.9517i	0.0409172	−	0.129066i
$481$	351.654	−	405.830i	0.731090	−	0.843722i
$482$	101.641	−	101.641i	0.210873	−	0.210873i
$483$	30.9327	−	651.584i	0.0640429	−	1.34904i
$484$			213.004i			0.440090i
$485$	291.131	+	303.868i	0.600270	+	0.626531i
$486$	−220.898	+	141.963i	−0.454523	+	0.292104i
$487$	392.373	+	293.727i	0.805694	+	0.603135i	0.920718	−	0.390228i	$-0.127604\pi$
$487$	392.373	+	293.727i	0.805694	+	0.603135i	−0.115025	+	0.993363i	$0.536695\pi$
$488$	74.3881	−	199.442i	0.152435	−	0.408693i
$489$	170.441	+	24.5058i	0.348551	+	0.0501140i
$490$	−717.286	+	140.030i	−1.46385	+	0.285775i
$491$	755.041	+	485.236i	1.53776	+	0.988260i	0.988262	+	0.152766i	$0.0488181\pi$
$491$	755.041	+	485.236i	1.53776	+	0.988260i	0.549500	+	0.835494i	$0.314818\pi$
$492$	94.6292	+	253.711i	0.192336	+	0.515672i
$493$	422.962	+	774.596i	0.857934	+	1.57119i
$494$	−292.332	+	253.307i	−0.591766	+	0.512768i
$495$	11.5780	−	69.8754i	0.0233898	−	0.141162i
$496$	−69.0323	−	20.2697i	−0.139178	−	0.0408663i
$497$	−413.515	−	1108.68i	−0.832023	−	2.23074i
$498$	40.0392	+	184.057i	0.0804000	+	0.369593i
$499$	−29.9174	−	101.889i	−0.0599546	−	0.204187i	0.924069	−	0.382227i	$-0.124843\pi$
$499$	−29.9174	−	101.889i	−0.0599546	−	0.204187i	−0.984023	+	0.178040i	$0.943024\pi$
$500$	89.0482	+	233.603i	0.178096	+	0.467206i
$501$	−88.4878	−	193.761i	−0.176622	−	0.386749i
$502$	−83.6758	−	62.6389i	−0.166685	−	0.124779i
$503$	709.590	+	154.362i	1.41071	+	0.306882i	0.852462	−	0.522789i	$-0.175108\pi$
$503$	709.590	+	154.362i	1.41071	+	0.306882i	0.558253	+	0.829671i	$0.311472\pi$
$504$	−98.1590	−	85.0553i	−0.194760	−	0.168760i
$505$	386.978	−	321.079i	0.766294	−	0.635801i
$506$	−14.6835	+	122.977i	−0.0290187	+	0.243038i
$507$	98.8058	−	98.8058i	0.194883	−	0.194883i
$508$	37.8321	−	2.70580i	0.0744726	−	0.00532638i
$509$	−394.640	−	614.072i	−0.775325	−	1.20643i	−0.974041	−	0.226372i	$-0.927313\pi$
$509$	−394.640	−	614.072i	−0.775325	−	1.20643i	0.198716	−	0.980057i	$-0.436323\pi$
$510$	355.125	−	17.7700i	0.696323	−	0.0348431i
$511$	33.7889	+	73.9874i	0.0661231	+	0.144789i
$512$	13.5601	+	18.1142i	0.0264846	+	0.0353793i
$513$	674.580	+	368.348i	1.31497	+	0.718028i
$514$	110.054	−	171.247i	0.214112	−	0.333165i
$515$	158.725	−	276.449i	0.308205	−	0.536794i
$516$	−121.789	−	35.7605i	−0.236025	−	0.0693033i
$517$	129.087	+	9.23245i	0.249684	+	0.0178577i
$518$	64.2908	−	898.903i	0.124114	−	1.73533i
$519$	28.9379	−	98.5536i	0.0557571	−	0.189891i
$520$	141.993	−	38.4119i	0.273063	−	0.0738691i
$521$	795.338	+	511.133i	1.52656	+	0.981061i	0.990596	+	0.136821i	$0.0436886\pi$
$521$	795.338	+	511.133i	1.52656	+	0.981061i	0.535965	+	0.844240i	$0.319948\pi$
$522$	101.686	−	186.224i	0.194801	−	0.356751i
$523$	301.300	−	225.550i	0.576099	−	0.431262i	−0.271090	−	0.962554i	$-0.587384\pi$
$523$	301.300	−	225.550i	0.576099	−	0.431262i	0.847189	+	0.531292i	$0.178293\pi$
$524$	245.668	−	112.193i	0.468831	−	0.214108i
$525$	−708.392	−	30.3418i	−1.34932	−	0.0577938i
$526$	64.1407	−	41.2207i	0.121940	−	0.0783664i
$527$	−28.0810	−	392.624i	−0.0532847	−	0.745018i
$528$	−24.7460	−	24.7460i	−0.0468674	−	0.0468674i
$529$	124.549	−	514.129i	0.235443	−	0.971888i
$530$	286.500	−	237.711i	0.540566	−	0.448512i
$531$	216.885	−	250.298i	0.408446	−	0.471371i
$532$	−137.989	+	634.327i	−0.259378	+	1.19234i
$533$	−367.286	+	490.637i	−0.689093	+	0.920520i
$534$	−397.041	+	181.322i	−0.743522	+	0.339555i
$535$	454.692	+	109.154i	0.849892	+	0.204026i
$536$	−361.238	+	106.069i	−0.673952	+	0.197890i
$537$	95.5792	−	20.7920i	0.177987	−	0.0387188i
$538$	−236.742	+	88.3003i	−0.440042	+	0.164127i
$539$	−110.872	+	377.596i	−0.205700	+	0.700548i
$540$	−170.110	−	237.679i	−0.315019	−	0.440146i
$541$	−192.837	−	222.545i	−0.356445	−	0.411359i	0.549001	−	0.835822i	$-0.315008\pi$
$541$	−192.837	−	222.545i	−0.356445	−	0.411359i	−0.905445	+	0.424463i	$0.860463\pi$
$542$	421.298	−	230.046i	0.777302	−	0.424439i
$543$	58.1305	−	21.6815i	0.107054	−	0.0399292i
$544$	−66.9297	+	104.145i	−0.123032	+	0.191442i
$545$	417.274	+	280.963i	0.765641	+	0.515529i
$546$	−59.3725	+	412.945i	−0.108741	+	0.756309i
$547$	804.972	+	300.239i	1.47161	+	0.548883i	0.952156	−	0.305614i	$-0.0988617\pi$
$547$	804.972	+	300.239i	1.47161	+	0.548883i	0.519457	+	0.854497i	$0.326134\pi$
$548$	−118.836	+	158.747i	−0.216855	+	0.289684i
$549$	−151.372	−	235.539i	−0.275723	−	0.429033i
$550$	133.743	+	15.3410i	0.243170	+	0.0278927i
$551$	−1060.48			−1.92464
$552$	92.4202	+	117.483i	0.167428	+	0.212831i
$553$	25.2615	+	25.2615i	0.0456809	+	0.0456809i
$554$	−359.376	−	311.401i	−0.648693	−	0.562096i
$555$	179.246	−	565.401i	0.322966	−	1.01874i
$556$	16.8332	+	117.078i	0.0302755	+	0.210571i
$557$	−119.157	−	44.4433i	−0.213927	−	0.0797905i	0.240216	−	0.970719i	$-0.422782\pi$
$557$	−119.157	−	44.4433i	−0.213927	−	0.0797905i	−0.454143	+	0.890929i	$0.650054\pi$
$558$	−75.7581	+	56.7118i	−0.135767	+	0.101634i
$559$	−80.9391	−	275.653i	−0.144793	−	0.493118i
$560$	152.136	−	194.413i	0.271671	−	0.347167i
$561$	79.5384	−	174.165i	0.141780	−	0.310454i
$562$	−354.215	+	193.416i	−0.630275	+	0.344156i
$563$	33.4563	−	467.780i	0.0594250	−	0.830870i	−0.877109	−	0.480292i	$-0.840531\pi$
$563$	33.4563	−	467.780i	0.0594250	−	0.830870i	0.936534	−	0.350578i	$-0.114015\pi$
$564$	118.044	−	102.286i	0.209298	−	0.181358i
$565$	−230.348	−	91.5774i	−0.407696	−	0.162084i
$566$	37.9438	−	83.0853i	0.0670385	−	0.146794i
$567$	406.175	−	88.3580i	0.716358	−	0.155834i
$568$	237.981	+	129.947i	0.418980	+	0.228781i
$569$	87.4942	+	12.5798i	0.153768	+	0.0221086i	0.218769	−	0.975777i	$-0.429796\pi$
$569$	87.4942	+	12.5798i	0.153768	+	0.0221086i	−0.0650007	+	0.997885i	$0.520705\pi$
$570$	−185.764	+	384.755i	−0.325902	+	0.675009i
$571$	78.4585	+	545.691i	0.137406	+	0.955676i	0.935546	+	0.353205i	$0.114908\pi$
$571$	78.4585	+	545.691i	0.137406	+	0.955676i	−0.798140	+	0.602471i	$0.794183\pi$
$572$	16.8371	−	77.3988i	0.0294355	−	0.135313i
$573$	−171.235	+	12.2470i	−0.298840	+	0.0213735i
$574$			1028.56i			1.79192i
$575$	−559.457	−	132.790i	−0.972968	−	0.230939i
$576$	29.7625			0.0516711
$577$	−57.1856	−	799.559i	−0.0991084	−	1.38572i	−0.767090	−	0.641539i	$-0.778296\pi$
$577$	−57.1856	−	799.559i	−0.0991084	−	1.38572i	0.667982	−	0.744178i	$-0.267158\pi$
$578$	−262.459	−	57.0945i	−0.454082	−	0.0987795i
$579$	−511.828	+	73.5898i	−0.883986	+	0.127098i
$580$	363.166	+	175.340i	0.626148	+	0.302311i
$581$	−101.824	+	708.204i	−0.175257	+	1.21894i
$582$	131.072	−	240.041i	0.225210	−	0.412441i
$583$	−42.6116	−	195.882i	−0.0730901	−	0.335990i
$584$	−16.9541	−	7.74269i	−0.0290310	−	0.0132580i
$585$	71.4788	−	179.793i	0.122186	−	0.307339i
$586$	−88.2271	−	101.819i	−0.150558	−	0.173753i
$587$	800.653	+	57.2639i	1.36398	+	0.0975534i	0.734046	−	0.679099i	$-0.237629\pi$
$587$	800.653	+	57.2639i	1.36398	+	0.0975534i	0.629929	+	0.776653i	$0.283084\pi$
$588$	227.627	+	416.868i	0.387121	+	0.708960i
$589$	430.241	+	196.484i	0.730460	+	0.333590i
$590$	495.740	+	387.934i	0.840237	+	0.657516i
$591$	328.377	−	96.4202i	0.555629	−	0.163148i
$592$	123.756	+	165.319i	0.209047	+	0.279255i
$593$	48.4740	−	129.964i	0.0817437	−	0.219163i	−0.889648	−	0.456648i	$-0.849050\pi$
$593$	48.4740	−	129.964i	0.0817437	−	0.219163i	0.971391	+	0.237484i	$0.0763228\pi$
$594$	−155.786	+	22.3987i	−0.262267	+	0.0377083i
$595$	1287.47	+	408.160i	2.16381	+	0.685983i
$596$	147.846	−	170.623i	0.248064	−	0.286281i
$597$	−248.887	+	248.887i	−0.416897	+	0.416897i
$598$	−110.603	+	319.733i	−0.184954	+	0.534671i
$599$			16.1170i			0.0269065i	0.999910	+	0.0134532i	$0.00428243\pi$
$599$			16.1170i			0.0269065i	−0.999910	+	0.0134532i	$0.995718\pi$
$600$	127.232	−	101.047i	0.212053	−	0.168412i
$601$	33.0855	−	21.2628i	0.0550508	−	0.0353790i	−0.512826	−	0.858493i	$-0.671401\pi$
$601$	33.0855	−	21.2628i	0.0550508	−	0.0353790i	0.567877	+	0.823114i	$0.307765\pi$
$602$	−385.975	−	288.937i	−0.641154	−	0.479962i
$603$	−173.057	+	463.984i	−0.286994	+	0.769460i
$604$	303.057	+	43.5731i	0.501751	+	0.0721408i
$605$	−297.418	+	441.711i	−0.491599	+	0.730102i
$606$	−274.917	−	176.679i	−0.453659	−	0.291549i
$607$	−298.842	−	801.226i	−0.492326	−	1.31998i	−0.911212	−	0.411938i	$-0.864852\pi$
$607$	−298.842	−	801.226i	−0.492326	−	1.31998i	0.418886	−	0.908039i	$-0.362421\pi$
$608$	−71.2905	−	130.559i	−0.117254	−	0.214735i
$609$	−864.399	+	749.006i	−1.41938	+	1.22990i
$610$	432.742	−	309.720i	0.709414	−	0.507738i
$611$	339.206	+	99.5998i	0.555165	+	0.163011i
$612$	56.9046	+	152.567i	0.0929813	+	0.249293i
$613$	138.420	+	636.306i	0.225807	+	1.03802i	0.940820	+	0.338907i	$0.110057\pi$
$613$	138.420	+	636.306i	0.225807	+	1.03802i	−0.715013	+	0.699112i	$0.753579\pi$
$614$	44.5105	+	151.589i	0.0724926	+	0.246887i
$615$	−158.022	+	658.257i	−0.256946	+	1.07034i
$616$	−55.2218	−	120.919i	−0.0896458	−	0.196297i
$617$	−507.132	−	379.634i	−0.821931	−	0.615290i	0.103318	−	0.994648i	$-0.467054\pi$
$617$	−507.132	−	379.634i	−0.821931	−	0.615290i	−0.925250	+	0.379358i	$0.876145\pi$
$618$	−202.439	−	44.0378i	−0.327571	−	0.0712586i
$619$	−373.065	−	323.262i	−0.602689	−	0.522233i	0.299206	−	0.954189i	$-0.403278\pi$
$619$	−373.065	−	323.262i	−0.602689	−	0.522233i	−0.901895	+	0.431955i	$0.857824\pi$
$620$	−114.851	−	138.424i	−0.185244	−	0.223264i
$621$	672.055	−	16.1071i	1.08221	−	0.0259374i
$622$	−205.362	+	205.362i	−0.330164	+	0.330164i
$623$	−1653.75	+	118.279i	−2.65449	+	0.189853i
$624$	−51.6846	−	80.4228i	−0.0828279	−	0.128883i
$625$	−141.519	+	608.767i	−0.226430	+	0.974027i
$626$	−278.539	−	609.915i	−0.444950	−	0.974306i
$627$	137.874	+	184.179i	0.219895	+	0.293746i
$628$	151.466	+	82.7069i	0.241189	+	0.131699i
$629$	−610.832	+	950.473i	−0.971116	+	1.51109i
$630$	−84.7921	−	313.441i	−0.134591	−	0.497525i
$631$	710.389	+	208.589i	1.12582	+	0.330569i	0.791062	−	0.611736i	$-0.209529\pi$
$631$	710.389	+	208.589i	1.12582	+	0.330569i	0.334754	+	0.942306i	$0.391347\pi$
$632$	−8.16553	−	0.584010i	−0.0129201	−	0.000924067i
$633$	−20.9570	+	293.017i	−0.0331074	+	0.462902i
$634$	−221.034	+	752.772i	−0.348634	+	1.18734i
$635$	82.2315	+	47.2139i	0.129498	+	0.0743526i
$636$	−203.535	−	130.804i	−0.320024	−	0.205667i
$637$	−515.203	+	943.525i	−0.808797	+	1.48120i
$638$	173.844	−	130.138i	0.272483	−	0.203978i
$639$	324.419	−	148.157i	0.507699	−	0.231858i
$640$	2.82708	+	56.4979i	0.00441731	+	0.0882779i
$641$	687.104	−	441.575i	1.07193	−	0.688884i	0.119247	−	0.992865i	$-0.461952\pi$
$641$	687.104	−	441.575i	1.07193	−	0.688884i	0.952678	+	0.303980i	$0.0983157\pi$
$642$	−21.6801	−	303.127i	−0.0337696	−	0.472161i
$643$	−275.219	−	275.219i	−0.428023	−	0.428023i	0.459931	−	0.887955i	$-0.347874\pi$
$643$	−275.219	−	275.219i	−0.428023	−	0.428023i	−0.887955	+	0.459931i	$0.847874\pi$
$644$	172.971	+	540.798i	0.268589	+	0.839749i
$645$	−202.625	−	244.212i	−0.314147	−	0.378623i
$646$	532.960	−	615.068i	0.825015	−	0.952118i
$647$	17.0987	−	78.6013i	0.0264276	−	0.121486i	−0.962043	−	0.272897i	$-0.912018\pi$
$647$	17.0987	−	78.6013i	0.0264276	−	0.121486i	0.988471	+	0.151411i	$0.0483818\pi$
$648$	−57.0820	+	76.2526i	−0.0880894	+	0.117674i
$649$	308.334	−	140.812i	0.475091	−	0.216967i
$650$	348.089	+	118.609i	0.535522	+	0.182476i
$651$	489.467	−	143.721i	0.751870	−	0.220769i
$652$	−146.455	+	31.8593i	−0.224624	+	0.0488640i
$653$	583.478	−	217.626i	0.893534	−	0.333271i	0.139590	−	0.990209i	$-0.455422\pi$
$653$	583.478	−	217.626i	0.893534	−	0.333271i	0.753944	+	0.656938i	$0.228149\pi$
$654$	92.1077	−	313.690i	0.140837	−	0.479648i
$655$	666.102	+	110.369i	1.01695	+	0.168503i
$656$	−154.347	−	178.126i	−0.235285	−	0.271533i
$657$	−21.5169	+	11.7491i	−0.0327503	+	0.0178830i
$658$	555.894	−	207.338i	0.844823	−	0.315103i
$659$	343.638	−	534.712i	0.521454	−	0.811399i	−0.476237	−	0.879317i	$-0.657999\pi$
$659$	343.638	−	534.712i	0.521454	−	0.811399i	0.997691	+	0.0679186i	$0.0216358\pi$
$660$	−16.7635	−	85.8693i	−0.0253993	−	0.130105i
$661$	49.8569	−	346.763i	0.0754265	−	0.524603i	−0.916721	−	0.399528i	$-0.869174\pi$
$661$	49.8569	−	346.763i	0.0754265	−	0.524603i	0.992147	−	0.125075i	$-0.0399170\pi$
$662$	748.859	+	279.310i	1.13121	+	0.421919i
$663$	313.441	−	418.708i	0.472761	−	0.631535i
$664$	−88.6396	−	137.926i	−0.133493	−	0.207720i
$665$	−1171.86	+	1122.75i	−1.76220	+	1.68834i
$666$	271.627			0.407849
$667$	−803.198	+	463.901i	−1.20420	+	0.695503i
$668$	131.103	+	131.103i	0.196262	+	0.196262i
$669$	546.888	+	473.881i	0.817471	+	0.708342i
$670$	−897.214	−	284.440i	−1.33913	−	0.424537i
$671$	−40.7814	−	283.641i	−0.0607771	−	0.422714i
$672$	−150.322	−	56.0672i	−0.223694	−	0.0834334i
$673$	298.578	−	223.512i	0.443652	−	0.332113i	−0.353986	−	0.935251i	$-0.615174\pi$
$673$	298.578	−	223.512i	0.443652	−	0.332113i	0.797637	+	0.603137i	$0.206083\pi$
$674$	141.743	+	482.733i	0.210302	+	0.716222i
$675$	−20.8910	−	730.406i	−0.0309496	−	1.08208i
$676$	−50.5249	+	110.634i	−0.0747410	+	0.163660i
$677$	−238.799	+	130.394i	−0.352731	+	0.192606i	−0.645839	−	0.763474i	$-0.723492\pi$
$677$	−238.799	+	130.394i	−0.352731	+	0.192606i	0.293108	+	0.956079i	$0.405310\pi$
$678$	−11.4928	+	160.690i	−0.0169510	+	0.237006i
$679$	785.120	−	680.310i	1.15629	−	1.00193i
$680$	−284.211	+	122.513i	−0.417957	+	0.180167i
$681$	65.0046	−	142.340i	0.0954546	−	0.209016i
$682$	−94.6414	+	20.5880i	−0.138770	+	0.0301876i
$683$	246.479	+	134.588i	0.360877	+	0.197054i	0.649450	−	0.760404i	$-0.274999\pi$
$683$	246.479	+	134.588i	0.360877	+	0.197054i	−0.288573	+	0.957458i	$0.593181\pi$
$684$	−193.670	−	27.8455i	−0.283143	−	0.0407098i
$685$	−468.092	+	163.266i	−0.683346	+	0.238344i
$686$	135.029	+	939.149i	0.196836	+	1.36902i
$687$	16.9331	−	77.8400i	0.0246478	−	0.113304i
$688$	110.201	−	7.88172i	0.160176	−	0.0114560i
$689$		−	547.605i		−	0.794782i
$690$	27.6130	+	372.673i	0.0400189	+	0.540106i
$691$	−317.759			−0.459854			−0.229927	−	0.973208i	$-0.573849\pi$
$691$	−317.759			−0.459854			−0.229927	+	0.973208i	$0.573849\pi$
$692$	6.37800	+	89.1762i	0.00921677	+	0.128867i
$693$	−170.853	−	37.1668i	−0.246541	−	0.0536318i
$694$	−646.767	+	92.9911i	−0.931942	+	0.133993i
$695$	−128.568	+	266.291i	−0.184990	+	0.383152i
$696$	37.2996	−	259.424i	0.0535914	−	0.372736i
$697$	617.994	−	1131.77i	0.886649	−	1.62378i
$698$	−8.04906	−	37.0009i	−0.0115316	−	0.0530099i
$699$	254.784	+	116.356i	0.364498	+	0.166461i
$700$	586.947	−	190.733i	0.838496	−	0.272476i
$701$	−708.867	−	818.076i	−1.01122	−	1.16701i	−0.985900	−	0.167334i	$-0.946484\pi$
$701$	−708.867	−	818.076i	−1.01122	−	1.16701i	−0.0253227	−	0.999679i	$-0.508061\pi$
$702$	−428.842	−	30.6714i	−0.610886	−	0.0436914i
$703$	−650.632	−	1191.54i	−0.925507	−	1.69494i
$704$	27.7084	+	12.6540i	0.0393585	+	0.0179744i
$705$	387.613	−	47.2876i	0.549806	−	0.0670746i
$706$	−101.509	+	29.8057i	−0.143780	+	0.0422177i
$707$	−743.896	−	993.729i	−1.05219	−	1.40556i
$708$	142.967	−	383.310i	0.201931	−	0.541399i
$709$	−108.434	+	15.5905i	−0.152940	+	0.0219894i	−0.218359	−	0.975868i	$-0.570071\pi$
$709$	−108.434	+	15.5905i	−0.152940	+	0.0219894i	0.0654195	+	0.997858i	$0.479161\pi$
$710$	312.061	+	601.769i	0.439523	+	0.847561i
$711$	−7.05141	+	8.13776i	−0.00991760	+	0.0114455i
$712$	268.646	−	268.646i	0.377312	−	0.377312i
$713$	411.813	−	39.3909i	0.577578	−	0.0552467i
$714$		−	877.771i		−	1.22937i
$715$	142.988	−	136.994i	0.199983	−	0.191600i
$716$	−71.6236	+	46.0297i	−0.100033	+	0.0642873i
$717$	133.821	+	100.177i	0.186640	+	0.139717i
$718$	−93.2048	+	249.892i	−0.129812	+	0.348039i
$719$	−722.123	−	103.826i	−1.00434	−	0.144403i	−0.379532	−	0.925179i	$-0.623915\pi$
$719$	−722.123	−	103.826i	−1.00434	−	0.144403i	−0.624811	+	0.780776i	$0.714824\pi$
$720$	61.7193	+	41.5575i	0.0857213	+	0.0577187i
$721$	−662.017	−	425.452i	−0.918193	−	0.590087i
$722$	163.338	+	437.926i	0.226230	+	0.606546i
$723$	−111.927	−	204.978i	−0.154809	−	0.283511i
$724$	−40.8123	+	35.3641i	−0.0563706	+	0.0488454i
$725$	508.278	+	870.697i	0.701073	+	1.20096i
$726$	332.061	+	97.5019i	0.457384	+	0.134300i
$727$	308.820	+	827.979i	0.424787	+	1.13890i	0.956438	+	0.291934i	$0.0942989\pi$
$727$	308.820	+	827.979i	0.424787	+	1.13890i	−0.531651	+	0.846963i	$0.678428\pi$
$728$	−77.1886	−	354.830i	−0.106028	−	0.487404i
$729$	205.586	+	700.161i	0.282011	+	0.960441i
$730$	−24.3471	−	39.7293i	−0.0333522	−	0.0544237i
$731$	251.102	+	549.836i	0.343504	+	0.752170i
$732$	−276.869	−	207.261i	−0.378236	−	0.283144i
$733$	−193.131	−	42.0130i	−0.263480	−	0.0573165i	0.0788847	−	0.996884i	$-0.474864\pi$
$733$	−193.131	−	42.0130i	−0.263480	−	0.0573165i	−0.342364	+	0.939567i	$0.611228\pi$
$734$	−34.7262	−	30.0904i	−0.0473109	−	0.0409951i
$735$	−110.037	+	1182.31i	−0.149711	+	1.60858i
$736$	−111.107	−	67.6988i	−0.150961	−	0.0919821i
$737$	−358.384	+	358.384i	−0.486274	+	0.486274i
$738$	−309.225	+	22.1162i	−0.419005	+	0.0299678i
$739$	2.20224	+	3.42675i	0.00298002	+	0.00463701i	0.842740	−	0.538320i	$-0.180941\pi$
$739$	2.20224	+	3.42675i	0.00298002	+	0.00463701i	−0.839760	+	0.542957i	$0.817305\pi$
$740$	25.8013	+	515.627i	0.0348666	+	0.696793i
$741$	261.078	+	571.681i	0.352332	+	0.771499i
$742$	−550.744	−	735.708i	−0.742242	−	0.991520i
$743$	−664.906	−	363.066i	−0.894894	−	0.488649i	−0.0351542	−	0.999382i	$-0.511192\pi$
$743$	−664.906	−	363.066i	−0.894894	−	0.488649i	−0.859739	+	0.510733i	$0.829374\pi$
$744$	−63.1987	+	98.3391i	−0.0849445	+	0.132176i
$745$	544.834	−	147.388i	0.731321	−	0.197837i
$746$	−728.923	−	214.031i	−0.977109	−	0.286905i
$747$	−215.103	−	15.3844i	−0.287955	−	0.0205950i
$748$	−11.8891	+	166.231i	−0.0158945	+	0.222234i
$749$	325.221	−	1107.60i	0.434207	−	1.47877i
$750$	404.936	−	31.8900i	0.539915	−	0.0425200i
$751$	192.220	+	123.532i	0.255952	+	0.164491i	0.662325	−	0.749217i	$-0.269570\pi$
$751$	192.220	+	123.532i	0.255952	+	0.164491i	−0.406372	+	0.913708i	$0.633206\pi$
$752$	−65.1560	+	119.324i	−0.0866436	+	0.158676i
$753$	−135.953	+	101.773i	−0.180548	+	0.135157i
$754$	539.603	−	246.428i	0.715654	−	0.326828i
$755$	567.617	+	513.518i	0.751810	+	0.680157i
$756$	−606.997	+	390.093i	−0.802906	+	0.515996i
$757$	21.4514	+	299.930i	0.0283374	+	0.396209i	0.991750	+	0.128187i	$0.0409156\pi$
$757$	21.4514	+	299.930i	0.0283374	+	0.396209i	−0.963413	+	0.268023i	$0.913630\pi$
$758$	−402.739	−	402.739i	−0.531317	−	0.531317i
$759$	184.994	+	79.1833i	0.243733	+	0.104326i
$760$	34.4626	−	370.286i	0.0453455	−	0.487219i
$761$	−132.957	+	153.441i	−0.174714	+	0.201631i	−0.836352	−	0.548192i	$-0.815316\pi$
$761$	−132.957	+	153.441i	−0.174714	+	0.201631i	0.661638	+	0.749823i	$0.269862\pi$
$762$	13.0993	−	60.2167i	0.0171907	−	0.0790245i
$763$	744.210	−	994.149i	0.975374	−	1.30295i
$764$	135.923	−	62.0740i	0.177910	−	0.0812486i
$765$	−95.0252	+	395.838i	−0.124216	+	0.517436i
$766$	−684.760	+	201.064i	−0.893942	+	0.262485i
$767$	904.791	−	196.825i	1.17965	−	0.256617i
$768$	34.4461	−	12.8477i	0.0448517	−	0.0167288i
$769$	−267.035	+	909.438i	−0.347250	+	1.18262i	0.582005	+	0.813185i	$0.302268\pi$
$769$	−267.035	+	909.438i	−0.347250	+	1.18262i	−0.929255	+	0.369439i	$0.879550\pi$
$770$	54.3244	−	327.859i	0.0705512	−	0.425791i
$771$	−216.588	−	249.955i	−0.280918	−	0.324196i
$772$	395.029	−	215.702i	0.511696	−	0.279407i
$773$	−865.572	+	322.842i	−1.11976	+	0.417648i	−0.840089	−	0.542449i	$-0.817497\pi$
$773$	−865.572	+	322.842i	−1.11976	+	0.417648i	−0.279668	+	0.960097i	$0.590224\pi$
$774$	78.5663	−	122.252i	0.101507	−	0.157948i
$775$	−44.8890	−	447.420i	−0.0579213	−	0.577316i
$776$	−33.8786	+	235.631i	−0.0436580	+	0.303648i
$777$	−1371.91	−	511.697i	−1.76565	−	0.658554i
$778$	−348.909	+	466.088i	−0.448469	+	0.599084i
$779$	837.708	+	1303.50i	1.07536	+	1.67330i
$780$	5.11483	−	238.942i	0.00655747	−	0.306336i
$781$	365.021			0.467376
$782$	134.602	−	698.990i	0.172125	−	0.893849i
$783$	−833.474	−	833.474i	−1.06446	−	1.06446i
$784$	−312.440	−	270.731i	−0.398521	−	0.345320i
$785$	198.616	+	383.005i	0.253014	+	0.487904i
$786$	−62.4484	−	434.338i	−0.0794509	−	0.552593i
$787$	−1188.98	−	443.465i	−1.51077	−	0.563488i	−0.548635	−	0.836062i	$-0.684852\pi$
$787$	−1188.98	−	443.465i	−1.51077	−	0.563488i	−0.962135	+	0.272574i	$0.912125\pi$
$788$	−238.474	+	178.519i	−0.302632	+	0.226547i
$789$	−34.9006	−	118.860i	−0.0442339	−	0.150647i
$790$	−16.1176	−	12.6126i	−0.0204020	−	0.0159653i
$791$	−254.208	+	556.637i	−0.321375	+	0.703713i
$792$	35.1655	−	19.2018i	0.0444009	−	0.0242447i
$793$	55.8435	−	780.794i	0.0704205	−	0.984608i
$794$	−298.575	+	258.717i	−0.376039	+	0.325840i
$795$	−239.434	−	555.449i	−0.301175	−	0.698678i
$796$	127.270	−	278.682i	0.159887	−	0.350104i
$797$	234.430	−	50.9972i	0.294141	−	0.0639865i	−0.0630733	−	0.998009i	$-0.520090\pi$
$797$	234.430	−	50.9972i	0.294141	−	0.0639865i	0.357214	+	0.934022i	$0.383727\pi$
$798$	925.716	+	505.479i	1.16005	+	0.633433i
$799$	−736.249	−	105.857i	−0.921463	−	0.132486i
$800$	−73.0255	+	121.109i	−0.0912819	+	0.151386i
$801$	−71.1181	−	494.637i	−0.0887867	−	0.617525i
$802$	115.559	−	531.218i	0.144089	−	0.662366i
$803$	−25.0272	+	1.78998i	−0.0311671	+	0.00222912i
$804$			611.704i			0.760826i
$805$	−396.423	+	1362.99i	−0.492451	+	1.69315i
$806$	−264.578			−0.328261
$807$	29.2871	+	409.488i	0.0362914	+	0.507420i
$808$	277.947	+	60.4636i	0.343993	+	0.0748312i
$809$	−571.820	+	82.2153i	−0.706823	+	0.101626i	−0.486346	−	0.873766i	$-0.661671\pi$
$809$	−571.820	+	82.2153i	−0.706823	+	0.101626i	−0.220477	+	0.975392i	$0.570761\pi$
$810$	−224.844	+	78.4233i	−0.277585	+	0.0968189i
$811$	−47.4830	+	330.252i	−0.0585487	+	0.407215i	0.939380	+	0.342879i	$0.111402\pi$
$811$	−47.4830	+	330.252i	−0.0585487	+	0.407215i	−0.997928	+	0.0643362i	$0.979507\pi$
$812$	477.116	−	873.772i	0.587581	−	1.07607i
$813$	−165.781	−	762.083i	−0.203913	−	0.937371i
$814$	252.880	+	115.487i	0.310664	+	0.141875i
$815$	−348.192	−	138.428i	−0.427230	−	0.169850i
$816$	131.719	+	152.012i	0.161420	+	0.186289i
$817$	−724.470	−	51.8151i	−0.886744	−	0.0634212i
$818$	216.195	+	395.931i	0.264297	+	0.484024i
$819$	−434.472	−	198.417i	−0.530491	−	0.242267i
$820$	−71.3556	−	584.898i	−0.0870191	−	0.713290i
$821$	−480.913	+	141.209i	−0.585764	+	0.171996i	−0.561169	−	0.827702i	$-0.689648\pi$
$821$	−480.913	+	141.209i	−0.585764	+	0.171996i	−0.0245958	+	0.999697i	$0.507830\pi$
$822$	193.080	+	257.925i	0.234891	+	0.313778i
$823$	152.675	−	409.337i	0.185510	−	0.497372i	−0.810589	−	0.585616i	$-0.800853\pi$
$823$	152.675	−	409.337i	0.185510	−	0.497372i	0.996099	+	0.0882436i	$0.0281254\pi$
$824$	178.491	−	25.6631i	0.216615	−	0.0311446i
$825$	85.1365	−	201.476i	0.103196	−	0.244214i
$826$	1017.63	−	1174.41i	1.23200	−	1.42181i
$827$	−432.661	+	432.661i	−0.523169	+	0.523169i	−0.918527	−	0.395358i	$-0.870620\pi$
$827$	−432.661	+	432.661i	−0.523169	+	0.523169i	0.395358	+	0.918527i	$0.370620\pi$
$828$	−158.865	+	63.6301i	−0.191867	+	0.0768479i
$829$		−	950.977i		−	1.14714i	−0.819157	−	0.573569i	$-0.805558\pi$
$829$		−	950.977i		−	1.14714i	0.819157	−	0.573569i	$-0.194442\pi$
$830$	8.77198	−	409.788i	0.0105687	−	0.493721i
$831$	−649.960	+	417.704i	−0.782142	+	0.502652i
$832$	66.6135	+	49.8662i	0.0800643	+	0.0599354i
$833$	790.436	−	2119.24i	0.948902	−	2.54411i
$834$	190.223	+	27.3499i	0.228085	+	0.0327936i
$835$	88.8123	+	454.931i	0.106362	+	0.544827i
$836$	−168.465	−	108.266i	−0.201513	−	0.129504i
$837$	183.719	+	492.571i	0.219497	+	0.588495i
$838$	−13.5736	−	24.8582i	−0.0161976	−	0.0296637i
$839$	75.5891	−	65.4983i	0.0900943	−	0.0780671i	−0.608649	−	0.793439i	$-0.708288\pi$
$839$	75.5891	−	65.4983i	0.0900943	−	0.0780671i	0.698744	+	0.715372i	$0.253743\pi$
$840$	−233.440	−	326.163i	−0.277905	−	0.388289i
$841$	753.524	+	221.254i	0.895985	+	0.263085i
$842$	−174.923	−	468.988i	−0.207748	−	0.556993i
$843$	139.384	+	640.737i	0.165343	+	0.760068i
$844$	−72.0383	−	245.340i	−0.0853534	−	0.290687i
$845$	−259.253	+	158.877i	−0.306809	+	0.188020i
$846$	74.2865	+	162.665i	0.0878091	+	0.192275i
$847$	1052.37	+	787.794i	1.24247	+	0.930100i
$848$	205.778	+	44.7643i	0.242663	+	0.0527880i
$849$	−112.157	−	97.1844i	−0.132105	−	0.114469i
$850$	−760.442	−	142.785i	−0.894637	−	0.167983i
$851$	−1014.02	−	617.852i	−1.19156	−	0.726030i
$852$	311.516	−	311.516i	0.365629	−	0.365629i
$853$	1104.32	−	78.9823i	1.29463	−	0.0925935i	0.593037	−	0.805175i	$-0.297929\pi$
$853$	1104.32	−	78.9823i	1.29463	−	0.0925935i	0.701590	+	0.712581i	$0.252474\pi$
$854$	−710.244	−	1105.16i	−0.831667	−	1.29410i
$855$	−362.738	−	328.166i	−0.424255	−	0.383820i
$856$	109.886	+	240.616i	0.128371	+	0.281094i
$857$	−106.287	−	141.983i	−0.124022	−	0.165674i	0.734233	−	0.678898i	$-0.237542\pi$
$857$	−106.287	−	141.983i	−0.124022	−	0.165674i	−0.858255	+	0.513223i	$0.828451\pi$
$858$	−112.953	−	61.6772i	−0.131647	−	0.0718848i
$859$	−866.594	+	1348.45i	−1.00884	+	1.56979i	−0.201683	+	0.979451i	$0.564641\pi$
$859$	−866.594	+	1348.45i	−1.00884	+	1.56979i	−0.807157	+	0.590336i	$0.798995\pi$
$860$	239.532	+	137.529i	0.278525	+	0.159918i
$861$	1603.47	+	470.822i	1.86234	+	0.546832i
$862$	551.897	+	39.4725i	0.640252	+	0.0457917i
$863$	−35.8649	+	501.457i	−0.0415584	+	0.581063i	0.933423	+	0.358777i	$0.116806\pi$
$863$	−35.8649	+	501.457i	−0.0415584	+	0.581063i	−0.974982	+	0.222286i	$0.928648\pi$
$864$	46.5815	−	158.642i	0.0539138	−	0.183614i
$865$	−111.291	+	193.833i	−0.128660	+	0.224084i
$866$	−863.639	−	555.027i	−0.997274	−	0.640909i
$867$	−209.147	+	383.025i	−0.241231	+	0.441782i
$868$	−355.461	+	266.095i	−0.409517	+	0.306561i
$869$	−10.0246	+	4.57810i	−0.0115358	+	0.00526824i
$870$	439.584	−	485.894i	0.505269	−	0.558499i
$871$	−1164.72	+	748.522i	−1.33722	+	0.859382i
$872$	20.3008	+	283.842i	0.0232807	+	0.325507i
$873$	221.409	+	221.409i	0.253619	+	0.253619i
$874$	659.657	+	544.479i	0.754757	+	0.622974i
$875$	1483.49	+	424.028i	1.69542	+	0.484603i
$876$	−19.8311	+	22.8863i	−0.0226383	+	0.0261260i
$877$	−328.969	+	1512.25i	−0.375107	+	1.72434i	0.272314	+	0.962208i	$0.412211\pi$
$877$	−328.969	+	1512.25i	−0.375107	+	1.72434i	−0.647422	+	0.762132i	$0.724153\pi$
$878$	485.097	−	648.014i	0.552502	−	0.738057i
$879$	−199.117	+	90.9335i	−0.226526	+	0.103451i
$880$	39.7908	+	64.9303i	0.0452169	+	0.0737844i
$881$	−1212.03	+	355.884i	−1.37574	+	0.403954i	−0.884285	−	0.466948i	$-0.845354\pi$
$881$	−1212.03	+	355.884i	−1.37574	+	0.403954i	−0.491457	+	0.870902i	$0.663535\pi$
$882$	−531.354	+	115.589i	−0.602442	+	0.131053i
$883$	474.520	−	176.987i	0.537395	−	0.200438i	−0.0660880	−	0.997814i	$-0.521052\pi$
$883$	474.520	−	176.987i	0.537395	−	0.200438i	0.603483	+	0.797376i	$0.293779\pi$
$884$	−128.260	+	436.812i	−0.145090	+	0.494132i
$885$	831.692	−	595.255i	0.939765	−	0.672604i
$886$	384.314	+	443.523i	0.433764	+	0.500590i
$887$	−707.705	+	386.436i	−0.797864	+	0.435667i	−0.825814	−	0.563943i	$-0.809284\pi$
$887$	−707.705	+	386.436i	−0.797864	+	0.435667i	0.0279499	+	0.999609i	$0.491102\pi$
$888$	314.372	−	117.255i	0.354022	−	0.132043i
$889$	126.554	−	196.921i	0.142355	−	0.221509i
$890$	932.209	−	181.987i	1.04743	−	0.204480i
$891$	−18.2487	+	126.922i	−0.0204811	+	0.142449i
$892$	−590.150	−	220.115i	−0.661604	−	0.246765i
$893$	535.620	−	715.504i	0.599798	−	0.801237i
$894$	−198.316	−	308.586i	−0.221830	−	0.345175i
$895$	−212.799	−	4.55521i	−0.237764	−	0.00508962i
$896$	139.647			0.155856
$897$	447.819	+	318.781i	0.499240	+	0.355385i
$898$	−66.7373	−	66.7373i	−0.0743177	−	0.0743177i
$899$	−548.193	−	475.012i	−0.609781	−	0.528378i
$900$	69.9622	+	172.358i	0.0777358	+	0.191509i
$901$	163.970	+	1140.44i	0.181987	+	1.26574i
$902$	−297.287	−	110.882i	−0.329586	−	0.122929i
$903$	−627.116	+	469.453i	−0.694481	+	0.519882i
$904$	−39.5058	−	134.544i	−0.0437011	−	0.148832i
$905$	−134.013	+	16.3491i	−0.148080	+	0.0180653i
$906$	206.652	−	452.504i	0.228092	−	0.499453i
$907$	−147.364	+	80.4669i	−0.162474	+	0.0887176i	−0.558429	−	0.829552i	$-0.688596\pi$
$907$	−147.364	+	80.4669i	−0.162474	+	0.0887176i	0.395955	+	0.918270i	$0.370414\pi$
$908$	−9.71664	+	135.856i	−0.0107011	+	0.149622i
$909$	282.758	−	245.011i	0.311064	−	0.269539i
$910$	335.382	−	843.600i	0.368552	−	0.927033i
$911$	224.248	−	491.036i	0.246156	−	0.539007i	−0.745713	−	0.666267i	$-0.767891\pi$
$911$	224.248	−	491.036i	0.246156	−	0.539007i	0.991869	+	0.127260i	$0.0406183\pi$
$912$	−236.167	+	51.3750i	−0.258955	+	0.0563323i
$913$	−193.716	−	105.777i	−0.212175	−	0.115856i
$914$	−923.248	−	132.743i	−1.01012	−	0.145233i
$915$	−284.750	−	816.395i	−0.311203	−	0.892235i
$916$	9.86778	+	68.6319i	0.0107727	+	0.0749257i
$917$	354.301	−	1628.69i	0.386369	−	1.77611i
$918$	902.285	−	64.5327i	0.982881	−	0.0702970i
$919$			978.739i			1.06500i	0.846429	+	0.532502i	$0.178748\pi$
$919$			978.739i			1.06500i	−0.846429	+	0.532502i	$0.821252\pi$
$920$	−135.879	−	295.528i	−0.147694	−	0.321227i
$921$	256.693			0.278711
$922$	48.4768	+	677.794i	0.0525778	+	0.735134i
$923$	974.338	+	211.954i	1.05562	+	0.229636i
$924$	−213.784	+	30.7374i	−0.231368	+	0.0332656i
$925$	−666.466	+	1105.29i	−0.720504	+	1.19491i
$926$	−56.4017	+	392.283i	−0.0609090	+	0.423631i
$927$	113.673	−	208.176i	0.122624	−	0.224569i
$928$	48.4923	+	222.915i	0.0522546	+	0.240210i
$929$	−580.028	−	264.890i	−0.624357	−	0.285134i	0.0780064	−	0.996953i	$-0.475145\pi$
$929$	−580.028	−	264.890i	−0.624357	−	0.285134i	−0.702363	+	0.711819i	$0.747872\pi$
$930$	−268.368	+	115.684i	−0.288568	+	0.124391i
$931$	1779.81	+	2054.01i	1.91172	+	2.20624i
$932$	−243.178	−	17.3924i	−0.260921	−	0.0186614i
$933$	226.144	+	414.152i	0.242384	+	0.443893i
$934$	−893.225	−	407.922i	−0.956344	−	0.436748i
$935$	−256.764	+	328.117i	−0.274614	+	0.350928i
$936$	105.016	−	30.8354i	0.112196	−	0.0329439i
$937$	−495.894	−	662.436i	−0.529236	−	0.706976i	0.453653	−	0.891179i	$-0.350121\pi$
$937$	−495.894	−	662.436i	−0.529236	−	0.706976i	−0.982888	+	0.184203i	$0.941030\pi$
$938$	−811.993	+	2177.04i	−0.865664	+	2.32094i
$939$	−1078.32	+	155.040i	−1.14838	+	0.165112i
$940$	−301.728	+	156.468i	−0.320988	+	0.166456i
$941$	−356.690	+	411.642i	−0.379054	+	0.437452i	−0.912933	−	0.408109i	$-0.866188\pi$
$941$	−356.690	+	411.642i	−0.379054	+	0.437452i	0.533879	+	0.845561i	$0.320734\pi$
$942$	198.269	−	198.269i	0.210477	−	0.210477i
$943$	1204.69	+	620.811i	1.27750	+	0.658336i
$944$			356.090i			0.377214i
$945$	−1803.43	−	38.6045i	−1.90839	−	0.0408514i
$946$	125.121	−	80.4104i	0.132263	−	0.0850005i
$947$	861.312	+	644.770i	0.909517	+	0.680856i	0.947955	−	0.318405i	$-0.103147\pi$
$947$	861.312	+	644.770i	0.909517	+	0.680856i	−0.0384381	+	0.999261i	$0.512238\pi$
$948$	−4.64819	+	12.4623i	−0.00490315	+	0.0131459i
$949$	−67.8437	−	9.75446i	−0.0714897	−	0.0102787i
$950$	588.498	−	719.752i	0.619471	−	0.757634i
$951$	1072.35	+	689.159i	1.12761	+	0.724668i
$952$	266.999	+	715.853i	0.280461	+	0.751946i
$953$	7.42689	+	13.6013i	0.00779317	+	0.0142721i	0.881547	−	0.472097i	$-0.156503\pi$
$953$	7.42689	+	13.6013i	0.00779317	+	0.0142721i	−0.873753	+	0.486369i	$0.838321\pi$
$954$	209.340	−	181.394i	0.219434	−	0.190140i
$955$	368.541	+	61.0652i	0.385907	+	0.0639426i
$956$	−139.608	−	40.9925i	−0.146033	−	0.0428792i
$957$	−123.301	−	330.584i	−0.128841	−	0.345437i
$958$	−141.306	−	649.575i	−0.147501	−	0.678053i
$959$	344.791	+	1174.25i	0.359532	+	1.22445i
$960$	89.3711	+	21.4545i	0.0930949	+	0.0223484i
$961$	−264.819	−	579.873i	−0.275566	−	0.603405i
$962$	607.947	+	455.103i	0.631961	+	0.473080i
$963$	339.980	+	73.9582i	0.353043	+	0.0767998i
$964$	153.630	+	133.121i	0.159367	+	0.138093i
$965$	1120.37	+	104.273i	1.16100	+	0.108055i
$966$	922.252	−	22.1036i	0.954712	−	0.0228815i
$967$	329.094	−	329.094i	0.340325	−	0.340325i	−0.516165	−	0.856489i	$-0.672641\pi$
$967$	329.094	−	329.094i	0.340325	−	0.340325i	0.856489	+	0.516165i	$0.172641\pi$
$968$	−300.465	+	21.4897i	−0.310398	+	0.0222001i
$969$	−714.897	−	1112.40i	−0.737767	−	1.14799i
$970$	−399.267	+	441.329i	−0.411615	+	0.454979i
$971$	121.156	+	265.295i	0.124775	+	0.273218i	0.961703	−	0.274094i	$-0.0883781\pi$
$971$	121.156	+	265.295i	0.124775	+	0.273218i	−0.836928	+	0.547313i	$0.815651\pi$
$972$	−222.540	−	297.279i	−0.228951	−	0.305842i
$973$	640.693	+	349.845i	0.658472	+	0.359553i
$974$	−374.748	+	583.119i	−0.384751	+	0.598685i
$975$	344.242	−	488.359i	0.353069	−	0.500881i
$976$	288.840	+	84.8112i	0.295943	+	0.0868967i
$977$	1460.00	+	104.421i	1.49437	+	0.106879i	0.794444	−	0.607337i	$-0.207762\pi$
$977$	1460.00	+	104.421i	1.49437	+	0.106879i	0.699925	+	0.714216i	$0.253217\pi$
$978$	−17.3724	+	242.899i	−0.0177632	+	0.248363i
$979$	144.093	−	490.736i	0.147184	−	0.501263i
$980$	−269.893	−	997.683i	−0.275401	−	1.01804i
$981$	314.881	+	202.362i	0.320980	+	0.206281i
$982$	−608.303	+	1114.02i	−0.619453	+	1.13444i
$983$	479.260	−	358.769i	0.487548	−	0.364974i	−0.327043	−	0.945009i	$-0.606052\pi$
$983$	479.260	−	358.769i	0.487548	−	0.364974i	0.814591	+	0.580035i	$0.196961\pi$
$984$	−348.340	+	159.081i	−0.354004	+	0.161668i
$985$	−743.796	+	37.2186i	−0.755123	+	0.0377853i
$986$	−1049.98	+	674.782i	−1.06489	+	0.684363i
$987$	−68.7690	−	961.516i	−0.0696748	−	0.974180i
$988$	−386.811	−	386.811i	−0.391509	−	0.391509i
$989$	−571.376	+	277.672i	−0.577731	+	0.280760i
$990$	99.7351	+	9.28235i	0.100743	+	0.00937611i
$991$	300.728	−	347.059i	0.303459	−	0.350211i	−0.583454	−	0.812146i	$-0.698299\pi$
$991$	300.728	−	347.059i	0.303459	−	0.350211i	0.886914	+	0.461935i	$0.152845\pi$
$992$	21.6281	−	99.4226i	0.0218025	−	0.100224i
$993$	778.218	−	1039.58i	0.783704	−	1.04691i
$994$	1522.19	−	695.162i	1.53138	−	0.699358i
$995$	653.048	−	400.204i	0.656330	−	0.402215i
$996$	−255.593	+	75.0490i	−0.256620	+	0.0753504i
$997$	210.357	−	45.7604i	0.210990	−	0.0458981i	−0.105828	−	0.994384i	$-0.533749\pi$
$997$	210.357	−	45.7604i	0.210990	−	0.0458981i	0.316818	+	0.948486i	$0.397386\pi$
$998$	140.708	−	52.4812i	0.140990	−	0.0525864i
$999$	425.126	−	1447.84i	0.425551	−	1.44929i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	230.3.k.a.223.9	yes	240
5.2	odd	4	inner	230.3.k.a.177.9	yes	240
23.13	even	11	inner	230.3.k.a.13.9	✓	240
115.82	odd	44	inner	230.3.k.a.197.9	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.3.k.a.13.9	✓	240	23.13	even	11	inner
230.3.k.a.177.9	yes	240	5.2	odd	4	inner
230.3.k.a.197.9	yes	240	115.82	odd	44	inner
230.3.k.a.223.9	yes	240	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 230 = 2 \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	230.k (of order \(44\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(0.100889 + 1.41061i) q^{2} +(2.24525 + 0.488423i) q^{3} +(-1.97964 + 0.284630i) q^{4} +(-4.50267 - 2.17394i) q^{5} +(-0.462455 + 3.21644i) q^{6} +(-5.91546 + 10.8334i) q^{7} +(-0.601225 - 2.76379i) q^{8} +(-3.38412 - 1.54548i) q^{9} +O(q^{10})\)	\(q+(0.100889 + 1.41061i) q^{2} +(2.24525 + 0.488423i) q^{3} +(-1.97964 + 0.284630i) q^{4} +(-4.50267 - 2.17394i) q^{5} +(-0.462455 + 3.21644i) q^{6} +(-5.91546 + 10.8334i) q^{7} +(-0.601225 - 2.76379i) q^{8} +(-3.38412 - 1.54548i) q^{9} +(2.61231 - 6.57083i) q^{10} +(-2.49347 - 2.87762i) q^{11} +(-4.58380 - 0.327840i) q^{12} +(-4.98482 - 9.12902i) q^{13} +(-15.8785 - 7.25145i) q^{14} +(-9.04779 - 7.08023i) q^{15} +(3.83797 - 1.12693i) q^{16} +(13.1148 + 17.5194i) q^{17} +(1.83864 - 4.92959i) q^{18} +(-26.0287 + 3.74236i) q^{19} +(9.53244 + 3.02202i) q^{20} +(-18.5729 + 21.4343i) q^{21} +(3.80764 - 3.80764i) q^{22} +(-18.0769 + 14.2206i) q^{23} -6.49904i q^{24} +(15.5480 + 19.5770i) q^{25} +(12.3746 - 7.95266i) q^{26} +(-23.3984 - 17.5158i) q^{27} +(8.62701 - 23.1299i) q^{28} +(39.9174 + 5.73925i) q^{29} +(9.07462 - 13.4772i) q^{30} +(-15.1313 - 9.72432i) q^{31} +(1.97687 + 5.30019i) q^{32} +(-4.19296 - 7.67884i) q^{33} +(-23.3899 + 20.2674i) q^{34} +(50.1864 - 35.9192i) q^{35} +(7.13923 + 2.09627i) q^{36} +(18.0418 + 48.3721i) q^{37} +(-7.90502 - 36.3388i) q^{38} +(-6.73332 - 22.9316i) q^{39} +(-3.30118 + 13.7514i) q^{40} +(-24.4777 - 53.5987i) q^{41} +(-32.1093 - 24.0367i) q^{42} +(26.9894 + 5.87118i) q^{43} +(5.75525 + 4.98695i) q^{44} +(11.8778 + 14.3156i) q^{45} +(-21.8835 - 24.0648i) q^{46} +(-24.0336 + 24.0336i) q^{47} +(9.16761 - 0.655680i) q^{48} +(-55.8776 - 86.9473i) q^{49} +(-26.0469 + 23.9073i) q^{50} +(20.8892 + 45.7409i) q^{51} +(12.4666 + 16.6534i) q^{52} +(46.2077 + 25.2313i) q^{53} +(22.3473 - 34.7731i) q^{54} +(4.97152 + 18.3776i) q^{55} +(33.4977 + 9.83580i) q^{56} +(-60.2687 - 4.31050i) q^{57} +(-4.06863 + 56.8869i) q^{58} +(-25.0806 + 85.4165i) q^{59} +(19.9266 + 11.4410i) q^{60} +(63.3115 + 40.6879i) q^{61} +(12.1906 - 22.3255i) q^{62} +(36.7613 - 27.5192i) q^{63} +(-7.27706 + 3.32332i) q^{64} +(2.59909 + 51.9416i) q^{65} +(10.4088 - 6.68935i) q^{66} +(-9.49588 - 132.770i) q^{67} +(-30.9492 - 30.9492i) q^{68} +(-47.5328 + 23.0995i) q^{69} +(55.7312 + 67.1696i) q^{70} +(-62.7784 + 72.4501i) q^{71} +(-2.23675 + 10.2822i) q^{72} +(3.94905 - 5.27531i) q^{73} +(-66.4139 + 30.3302i) q^{74} +(25.3472 + 51.5492i) q^{75} +(50.4623 - 14.8171i) q^{76} +(45.9244 - 9.99024i) q^{77} +(31.6682 - 11.8116i) q^{78} +(0.815426 - 2.77708i) q^{79} +(-19.7310 - 3.26931i) q^{80} +(-22.0534 - 25.4509i) q^{81} +(73.1373 - 39.9360i) q^{82} +(54.3113 - 20.2571i) q^{83} +(30.6669 - 47.7187i) q^{84} +(-20.9657 - 107.395i) q^{85} +(-5.55902 + 38.6638i) q^{86} +(86.8211 + 32.3826i) q^{87} +(-6.45400 + 8.62154i) q^{88} +(72.6205 + 113.000i) q^{89} +(-18.9954 + 18.1992i) q^{90} +128.386 q^{91} +(31.7382 - 33.2969i) q^{92} +(-29.2240 - 29.2240i) q^{93} +(-36.3267 - 31.4773i) q^{94} +(125.334 + 39.7341i) q^{95} +(1.84982 + 12.8658i) q^{96} +(-78.8582 - 29.4126i) q^{97} +(117.011 - 87.5936i) q^{98} +(3.99092 + 13.5918i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 24 q^{2} - 4 q^{5} - 74 q^{7} + 48 q^{8}+O(q^{10}) \) 240 * q - 24 * q^2 - 4 * q^5 - 74 * q^7 + 48 * q^8	\( 240 q - 24 q^{2} - 4 q^{5} - 74 q^{7} + 48 q^{8} - 16 q^{10} + 8 q^{11} + 44 q^{12} + 24 q^{13} + 24 q^{15} + 96 q^{16} + 12 q^{17} + 88 q^{18} - 24 q^{20} + 24 q^{21} + 8 q^{22} - 44 q^{23} - 128 q^{25} + 48 q^{26} - 60 q^{27} - 116 q^{28} + 120 q^{30} - 12 q^{31} + 96 q^{32} - 334 q^{33} - 224 q^{35} - 176 q^{36} + 188 q^{37} + 76 q^{38} - 16 q^{40} - 116 q^{41} + 24 q^{42} + 120 q^{43} + 204 q^{45} + 396 q^{46} - 144 q^{47} - 88 q^{48} + 170 q^{50} - 176 q^{51} + 48 q^{52} + 192 q^{53} - 312 q^{55} + 296 q^{56} + 88 q^{57} - 28 q^{58} - 72 q^{60} - 552 q^{61} - 12 q^{62} - 122 q^{63} - 392 q^{65} - 8 q^{66} - 72 q^{67} - 24 q^{68} + 100 q^{70} + 424 q^{71} - 176 q^{72} + 452 q^{73} + 604 q^{75} - 112 q^{76} + 356 q^{77} + 32 q^{78} + 16 q^{80} - 704 q^{81} + 148 q^{82} - 360 q^{83} + 428 q^{85} - 376 q^{86} - 462 q^{87} - 104 q^{88} - 510 q^{90} + 432 q^{91} - 192 q^{93} - 166 q^{95} - 1042 q^{97} - 88 q^{98}+O(q^{100}) \) 240 * q - 24 * q^2 - 4 * q^5 - 74 * q^7 + 48 * q^8 - 16 * q^10 + 8 * q^11 + 44 * q^12 + 24 * q^13 + 24 * q^15 + 96 * q^16 + 12 * q^17 + 88 * q^18 - 24 * q^20 + 24 * q^21 + 8 * q^22 - 44 * q^23 - 128 * q^25 + 48 * q^26 - 60 * q^27 - 116 * q^28 + 120 * q^30 - 12 * q^31 + 96 * q^32 - 334 * q^33 - 224 * q^35 - 176 * q^36 + 188 * q^37 + 76 * q^38 - 16 * q^40 - 116 * q^41 + 24 * q^42 + 120 * q^43 + 204 * q^45 + 396 * q^46 - 144 * q^47 - 88 * q^48 + 170 * q^50 - 176 * q^51 + 48 * q^52 + 192 * q^53 - 312 * q^55 + 296 * q^56 + 88 * q^57 - 28 * q^58 - 72 * q^60 - 552 * q^61 - 12 * q^62 - 122 * q^63 - 392 * q^65 - 8 * q^66 - 72 * q^67 - 24 * q^68 + 100 * q^70 + 424 * q^71 - 176 * q^72 + 452 * q^73 + 604 * q^75 - 112 * q^76 + 356 * q^77 + 32 * q^78 + 16 * q^80 - 704 * q^81 + 148 * q^82 - 360 * q^83 + 428 * q^85 - 376 * q^86 - 462 * q^87 - 104 * q^88 - 510 * q^90 + 432 * q^91 - 192 * q^93 - 166 * q^95 - 1042 * q^97 - 88 * q^98

Introduction

L-functions

Modular forms

Varieties

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