LMFDB - Embedded newform 370.2.o.a.271.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [370,2,Mod(71,370)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(370, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 4]))

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

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

chi := DirichletCharacter("370.71");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 370 = 2 \cdot 5 \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	370.o (of order $9$, degree $6$, 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:	$2.95446487479$
Analytic rank:	$0$
Dimension:	$18$
Relative dimension:	$3$ over $\Q(\zeta_{9})$
Coefficient field:	$\mathbb{Q}[x]/(x^{18} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{18} - 3 x^{17} + 21 x^{16} - 20 x^{15} + 180 x^{14} - 126 x^{13} + 1002 x^{12} - 270 x^{11} + \cdots + 81 $ x^18 - 3x^17 + 21x^16 - 20x^15 + 180x^14 - 126x^13 + 1002x^12 - 270x^11 + 3294x^10 - 1172x^9 + 6585x^8 - 1464x^7 + 8092x^6 - 2088x^5 + 5598x^4 + 180x^3 + 972x^2 - 162*x + 81
Coefficient ring:	$\Z[a_1, \ldots, a_{7}]$
Coefficient ring index:	$ 3 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			271.1
Root			$-0.978711 + 1.69518i$ of defining polynomial
Character	$\chi$	$=$	370.271
Dual form			370.2.o.a.71.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.766044 - 0.642788i) q^{2} +(-1.90337 - 1.59711i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-0.939693 + 0.342020i) q^{5} -2.48467 q^{6} +(-4.17420 + 1.51928i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(0.551085 + 3.12536i) q^{9} +O(q^{10})$	\(q+(0.766044 - 0.642788i) q^{2} +(-1.90337 - 1.59711i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-0.939693 + 0.342020i) q^{5} -2.48467 q^{6} +(-4.17420 + 1.51928i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(0.551085 + 3.12536i) q^{9} +(-0.500000 + 0.866025i) q^{10} +(2.64376 + 4.57913i) q^{11} +(-1.90337 + 1.59711i) q^{12} +(-0.291695 + 1.65429i) q^{13} +(-2.22104 + 3.84696i) q^{14} +(2.33482 + 0.849806i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(-1.09771 - 6.22544i) q^{17} +(2.43110 + 2.03993i) q^{18} +(-0.698396 - 0.586024i) q^{19} +(0.173648 + 0.984808i) q^{20} +(10.3715 + 3.77492i) q^{21} +(4.96865 + 1.80844i) q^{22} +(-2.72974 + 4.72805i) q^{23} +(-0.431458 + 2.44692i) q^{24} +(0.766044 - 0.642788i) q^{25} +(0.839903 + 1.45475i) q^{26} +(0.215636 - 0.373493i) q^{27} +(0.771361 + 4.37460i) q^{28} +(-3.39563 - 5.88140i) q^{29} +(2.33482 - 0.849806i) q^{30} -8.00290 q^{31} +(-0.939693 + 0.342020i) q^{32} +(2.28135 - 12.9382i) q^{33} +(-4.84253 - 4.06337i) q^{34} +(3.40284 - 2.85532i) q^{35} +3.17357 q^{36} +(-5.41482 + 2.77124i) q^{37} -0.911691 q^{38} +(3.19728 - 2.68284i) q^{39} +(0.766044 + 0.642788i) q^{40} +(-1.27692 + 7.24177i) q^{41} +(10.3715 - 3.77492i) q^{42} -2.18931 q^{43} +(4.96865 - 1.80844i) q^{44} +(-1.58679 - 2.74840i) q^{45} +(0.948029 + 5.37654i) q^{46} +(-1.72291 + 2.98416i) q^{47} +(1.24233 + 2.15179i) q^{48} +(9.75339 - 8.18407i) q^{49} +(0.173648 - 0.984808i) q^{50} +(-7.85338 + 13.6025i) q^{51} +(1.57850 + 0.574527i) q^{52} +(-1.95307 - 0.710861i) q^{53} +(-0.0748896 - 0.424720i) q^{54} +(-4.05048 - 3.39876i) q^{55} +(3.40284 + 2.85532i) q^{56} +(0.393356 + 2.23083i) q^{57} +(-6.38169 - 2.32275i) q^{58} +(-8.25951 - 3.00622i) q^{59} +(1.24233 - 2.15179i) q^{60} +(0.910483 - 5.16361i) q^{61} +(-6.13058 + 5.14416i) q^{62} +(-7.04865 - 12.2086i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-0.291695 - 1.65429i) q^{65} +(-6.56888 - 11.3776i) q^{66} +(4.61923 - 1.68126i) q^{67} -6.32147 q^{68} +(12.7469 - 4.63950i) q^{69} +(0.771361 - 4.37460i) q^{70} +(6.18835 + 5.19265i) q^{71} +(2.43110 - 2.03993i) q^{72} +8.95395 q^{73} +(-2.36667 + 5.60347i) q^{74} -2.48467 q^{75} +(-0.698396 + 0.586024i) q^{76} +(-17.9926 - 15.0976i) q^{77} +(0.724765 - 4.11035i) q^{78} +(3.47243 - 1.26386i) q^{79} +1.00000 q^{80} +(7.93961 - 2.88978i) q^{81} +(3.67674 + 6.36830i) q^{82} +(-3.03841 - 17.2317i) q^{83} +(5.51856 - 9.55842i) q^{84} +(3.16074 + 5.47456i) q^{85} +(-1.67711 + 1.40726i) q^{86} +(-2.93014 + 16.6177i) q^{87} +(2.64376 - 4.57913i) q^{88} +(-5.71200 - 2.07900i) q^{89} +(-2.98218 - 1.08543i) q^{90} +(-1.29574 - 7.34848i) q^{91} +(4.18220 + 3.50929i) q^{92} +(15.2324 + 12.7815i) q^{93} +(0.598359 + 3.39347i) q^{94} +(0.856709 + 0.311817i) q^{95} +(2.33482 + 0.849806i) q^{96} +(4.75971 - 8.24405i) q^{97} +(2.21091 - 12.5387i) q^{98} +(-12.8545 + 10.7862i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 18 q - 6 q^{6} - 3 q^{7} - 9 q^{8} - 12 q^{9}+O(q^{10}) $ 18 * q - 6 * q^6 - 3 * q^7 - 9 * q^8 - 12 * q^9	$ 18 q - 6 q^{6} - 3 q^{7} - 9 q^{8} - 12 q^{9} - 9 q^{10} + 3 q^{11} + 9 q^{13} - 6 q^{17} + 6 q^{18} + 9 q^{19} - 6 q^{21} + 21 q^{23} + 6 q^{26} + 12 q^{27} - 3 q^{28} + 6 q^{29} - 30 q^{31} - 45 q^{33} - 15 q^{34} + 6 q^{35} + 24 q^{36} + 6 q^{37} - 12 q^{38} + 24 q^{39} + 15 q^{41} - 6 q^{42} - 12 q^{43} - 12 q^{45} + 24 q^{47} + 3 q^{48} + 33 q^{49} - 42 q^{51} - 12 q^{53} + 27 q^{54} + 6 q^{56} + 51 q^{57} - 15 q^{58} - 15 q^{59} + 3 q^{60} + 72 q^{61} - 57 q^{62} - 30 q^{63} - 9 q^{64} + 9 q^{65} - 3 q^{66} + 18 q^{67} + 24 q^{69} - 3 q^{70} + 6 q^{72} - 66 q^{73} - 24 q^{74} - 6 q^{75} + 9 q^{76} - 66 q^{77} + 6 q^{78} - 12 q^{79} + 18 q^{80} + 66 q^{81} + 45 q^{82} + 9 q^{83} + 42 q^{84} + 12 q^{86} + 48 q^{87} + 3 q^{88} + 6 q^{90} - 78 q^{91} + 18 q^{92} + 24 q^{94} - 3 q^{97} - 48 q^{98} - 96 q^{99}+O(q^{100}) $ 18 * q - 6 * q^6 - 3 * q^7 - 9 * q^8 - 12 * q^9 - 9 * q^10 + 3 * q^11 + 9 * q^13 - 6 * q^17 + 6 * q^18 + 9 * q^19 - 6 * q^21 + 21 * q^23 + 6 * q^26 + 12 * q^27 - 3 * q^28 + 6 * q^29 - 30 * q^31 - 45 * q^33 - 15 * q^34 + 6 * q^35 + 24 * q^36 + 6 * q^37 - 12 * q^38 + 24 * q^39 + 15 * q^41 - 6 * q^42 - 12 * q^43 - 12 * q^45 + 24 * q^47 + 3 * q^48 + 33 * q^49 - 42 * q^51 - 12 * q^53 + 27 * q^54 + 6 * q^56 + 51 * q^57 - 15 * q^58 - 15 * q^59 + 3 * q^60 + 72 * q^61 - 57 * q^62 - 30 * q^63 - 9 * q^64 + 9 * q^65 - 3 * q^66 + 18 * q^67 + 24 * q^69 - 3 * q^70 + 6 * q^72 - 66 * q^73 - 24 * q^74 - 6 * q^75 + 9 * q^76 - 66 * q^77 + 6 * q^78 - 12 * q^79 + 18 * q^80 + 66 * q^81 + 45 * q^82 + 9 * q^83 + 42 * q^84 + 12 * q^86 + 48 * q^87 + 3 * q^88 + 6 * q^90 - 78 * q^91 + 18 * q^92 + 24 * q^94 - 3 * q^97 - 48 * q^98 - 96 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/370\mathbb{Z}\right)^\times$.

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{7}{9}\right)$	$1$

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 $

$2$	0.766044	−	0.642788i	0.541675	−	0.454519i
$2$	0.766044	−	0.642788i	0.541675	−	0.454519i
$3$	−1.90337	−	1.59711i	−1.09891	−	0.922094i	−0.101558	−	0.994830i	$-0.532383\pi$
$3$	−1.90337	−	1.59711i	−1.09891	−	0.922094i	−0.997351	+	0.0727357i	$0.976827\pi$
$4$	0.173648	−	0.984808i	0.0868241	−	0.492404i
$5$	−0.939693	+	0.342020i	−0.420243	+	0.152956i
$5$	−0.939693	+	0.342020i	−0.420243	+	0.152956i
$6$	−2.48467			−1.01436
$7$	−4.17420	+	1.51928i	−1.57770	+	0.574235i	−0.974702	−	0.223508i	$-0.928249\pi$
$7$	−4.17420	+	1.51928i	−1.57770	+	0.574235i	−0.602997	+	0.797744i	$0.706027\pi$
$8$	−0.500000	−	0.866025i	−0.176777	−	0.306186i
$9$	0.551085	+	3.12536i	0.183695	+	1.04179i
$10$	−0.500000	+	0.866025i	−0.158114	+	0.273861i
$11$	2.64376	+	4.57913i	0.797125	+	1.38066i	0.921481	+	0.388423i	$0.126980\pi$
$11$	2.64376	+	4.57913i	0.797125	+	1.38066i	−0.124356	+	0.992238i	$0.539687\pi$
$12$	−1.90337	+	1.59711i	−0.549454	+	0.461047i
$13$	−0.291695	+	1.65429i	−0.0809017	+	0.458816i	0.917264	+	0.398279i	$0.130392\pi$
$13$	−0.291695	+	1.65429i	−0.0809017	+	0.458816i	−0.998166	+	0.0605371i	$0.980719\pi$
$14$	−2.22104	+	3.84696i	−0.593599	+	1.02814i
$15$	2.33482	+	0.849806i	0.602849	+	0.219419i
$16$	−0.939693	−	0.342020i	−0.234923	−	0.0855050i
$17$	−1.09771	−	6.22544i	−0.266234	−	1.50989i	−0.765497	−	0.643439i	$-0.777507\pi$
$17$	−1.09771	−	6.22544i	−0.266234	−	1.50989i	0.499263	−	0.866451i	$-0.333604\pi$
$18$	2.43110	+	2.03993i	0.573015	+	0.480817i
$19$	−0.698396	−	0.586024i	−0.160223	−	0.134443i	0.559152	−	0.829065i	$-0.311127\pi$
$19$	−0.698396	−	0.586024i	−0.160223	−	0.134443i	−0.719374	+	0.694622i	$0.755571\pi$
$20$	0.173648	+	0.984808i	0.0388289	+	0.220210i
$21$	10.3715	+	3.77492i	2.26325	+	0.823754i
$22$	4.96865	+	1.80844i	1.05932	+	0.385561i
$23$	−2.72974	+	4.72805i	−0.569190	+	0.985866i	0.427456	+	0.904036i	$0.359410\pi$
$23$	−2.72974	+	4.72805i	−0.569190	+	0.985866i	−0.996646	+	0.0818301i	$0.973924\pi$
$24$	−0.431458	+	2.44692i	−0.0880710	+	0.499475i
$25$	0.766044	−	0.642788i	0.153209	−	0.128558i
$26$	0.839903	+	1.45475i	0.164718	+	0.285301i
$27$	0.215636	−	0.373493i	0.0414992	−	0.0718787i
$28$	0.771361	+	4.37460i	0.145773	+	0.826722i
$29$	−3.39563	−	5.88140i	−0.630552	−	1.09215i	−0.987439	−	0.158001i	$-0.949495\pi$
$29$	−3.39563	−	5.88140i	−0.630552	−	1.09215i	0.356887	−	0.934148i	$-0.383838\pi$
$30$	2.33482	−	0.849806i	0.426279	−	0.155153i
$31$	−8.00290			−1.43736			−0.718682	−	0.695339i	$-0.755254\pi$
$31$	−8.00290			−1.43736			−0.718682	+	0.695339i	$0.755254\pi$
$32$	−0.939693	+	0.342020i	−0.166116	+	0.0604612i
$33$	2.28135	−	12.9382i	0.397131	−	2.25224i
$34$	−4.84253	−	4.06337i	−0.830487	−	0.696861i
$35$	3.40284	−	2.85532i	0.575184	−	0.482637i
$36$	3.17357			0.528929
$37$	−5.41482	+	2.77124i	−0.890190	+	0.455589i
$37$	−5.41482	+	2.77124i	−0.890190	+	0.455589i
$38$	−0.911691			−0.147896
$39$	3.19728	−	2.68284i	0.511975	−	0.429598i
$40$	0.766044	+	0.642788i	0.121122	+	0.101634i
$41$	−1.27692	+	7.24177i	−0.199421	+	1.13097i	0.706559	+	0.707654i	$0.250246\pi$
$41$	−1.27692	+	7.24177i	−0.199421	+	1.13097i	−0.905980	+	0.423320i	$0.860865\pi$
$42$	10.3715	−	3.77492i	1.60036	−	0.582482i
$43$	−2.18931			−0.333866			−0.166933	−	0.985968i	$-0.553386\pi$
$43$	−2.18931			−0.333866			−0.166933	+	0.985968i	$0.553386\pi$
$44$	4.96865	−	1.80844i	0.749052	−	0.272633i
$45$	−1.58679	−	2.74840i	−0.236544	−	0.409707i
$46$	0.948029	+	5.37654i	0.139779	+	0.792727i
$47$	−1.72291	+	2.98416i	−0.251312	+	0.435285i	−0.963887	−	0.266311i	$-0.914195\pi$
$47$	−1.72291	+	2.98416i	−0.251312	+	0.435285i	0.712575	+	0.701596i	$0.247529\pi$
$48$	1.24233	+	2.15179i	0.179315	+	0.310583i
$49$	9.75339	−	8.18407i	1.39334	−	1.16915i
$50$	0.173648	−	0.984808i	0.0245576	−	0.139273i
$51$	−7.85338	+	13.6025i	−1.09969	+	1.90472i
$52$	1.57850	+	0.574527i	0.218899	+	0.0796726i
$53$	−1.95307	−	0.710861i	−0.268275	−	0.0976442i	0.204380	−	0.978892i	$-0.434482\pi$
$53$	−1.95307	−	0.710861i	−0.268275	−	0.0976442i	−0.472655	+	0.881247i	$0.656704\pi$
$54$	−0.0748896	−	0.424720i	−0.0101912	−	0.0577971i
$55$	−4.05048	−	3.39876i	−0.546167	−	0.458288i
$56$	3.40284	+	2.85532i	0.454723	+	0.381558i
$57$	0.393356	+	2.23083i	0.0521013	+	0.295481i
$58$	−6.38169	−	2.32275i	−0.837957	−	0.304991i
$59$	−8.25951	−	3.00622i	−1.07530	−	0.391376i	−0.257142	−	0.966374i	$-0.582781\pi$
$59$	−8.25951	−	3.00622i	−1.07530	−	0.391376i	−0.818155	+	0.574998i	$0.805003\pi$
$60$	1.24233	−	2.15179i	0.160385	−	0.277794i
$61$	0.910483	−	5.16361i	0.116575	−	0.661132i	−0.869383	−	0.494139i	$-0.835483\pi$
$61$	0.910483	−	5.16361i	0.116575	−	0.661132i	0.985958	−	0.166993i	$-0.0534057\pi$
$62$	−6.13058	+	5.14416i	−0.778584	+	0.653309i
$63$	−7.04865	−	12.2086i	−0.888046	−	1.53814i
$64$	−0.500000	+	0.866025i	−0.0625000	+	0.108253i
$65$	−0.291695	−	1.65429i	−0.0361803	−	0.205189i
$66$	−6.56888	−	11.3776i	−0.808573	−	1.40049i
$67$	4.61923	−	1.68126i	0.564329	−	0.205399i	−0.0440723	−	0.999028i	$-0.514033\pi$
$67$	4.61923	−	1.68126i	0.564329	−	0.205399i	0.608402	+	0.793629i	$0.291811\pi$
$68$	−6.32147			−0.766591
$69$	12.7469	−	4.63950i	1.53455	−	0.558530i
$70$	0.771361	−	4.37460i	0.0921952	−	0.522865i
$71$	6.18835	+	5.19265i	0.734422	+	0.616254i	0.931333	−	0.364168i	$-0.118647\pi$
$71$	6.18835	+	5.19265i	0.734422	+	0.616254i	−0.196911	+	0.980421i	$0.563091\pi$
$72$	2.43110	−	2.03993i	0.286508	−	0.240408i
$73$	8.95395			1.04798			0.523990	−	0.851724i	$-0.324443\pi$
$73$	8.95395			1.04798			0.523990	+	0.851724i	$0.324443\pi$
$74$	−2.36667	+	5.60347i	−0.275120	+	0.651390i
$75$	−2.48467			−0.286905
$76$	−0.698396	+	0.586024i	−0.0801115	+	0.0672215i
$77$	−17.9926	−	15.0976i	−2.05045	−	1.72053i
$78$	0.724765	−	4.11035i	0.0820635	−	0.465405i
$79$	3.47243	−	1.26386i	0.390679	−	0.142195i	−0.139209	−	0.990263i	$-0.544456\pi$
$79$	3.47243	−	1.26386i	0.390679	−	0.142195i	0.529888	+	0.848067i	$0.322234\pi$
$80$	1.00000			0.111803
$81$	7.93961	−	2.88978i	0.882178	−	0.321087i
$82$	3.67674	+	6.36830i	0.406028	+	0.703261i
$83$	−3.03841	−	17.2317i	−0.333509	−	1.89142i	−0.441485	−	0.897269i	$-0.645548\pi$
$83$	−3.03841	−	17.2317i	−0.333509	−	1.89142i	0.107977	−	0.994153i	$-0.465563\pi$
$84$	5.51856	−	9.55842i	0.602124	−	1.04291i
$85$	3.16074	+	5.47456i	0.342830	+	0.593799i
$86$	−1.67711	+	1.40726i	−0.180847	+	0.151749i
$87$	−2.93014	+	16.6177i	−0.314144	+	1.78160i
$88$	2.64376	−	4.57913i	0.281826	−	0.488137i
$89$	−5.71200	−	2.07900i	−0.605470	−	0.220373i	0.0210498	−	0.999778i	$-0.493299\pi$
$89$	−5.71200	−	2.07900i	−0.605470	−	0.220373i	−0.626520	+	0.779405i	$0.715521\pi$
$90$	−2.98218	−	1.08543i	−0.314350	−	0.114414i
$91$	−1.29574	−	7.34848i	−0.135830	−	0.770330i
$92$	4.18220	+	3.50929i	0.436025	+	0.365868i
$93$	15.2324	+	12.7815i	1.57953	+	1.32538i
$94$	0.598359	+	3.39347i	0.0617161	+	0.350009i
$95$	0.856709	+	0.311817i	0.0878965	+	0.0319917i
$96$	2.33482	+	0.849806i	0.238297	+	0.0867330i
$97$	4.75971	−	8.24405i	0.483275	−	0.837057i	−0.516541	−	0.856263i	$-0.672780\pi$
$97$	4.75971	−	8.24405i	0.483275	−	0.837057i	0.999816	+	0.0192059i	$0.00611381\pi$
$98$	2.21091	−	12.5387i	0.223336	−	1.26660i
$99$	−12.8545	+	10.7862i	−1.29193	+	1.08405i
$100$	−0.500000	−	0.866025i	−0.0500000	−	0.0866025i
$101$	−0.519922	+	0.900531i	−0.0517341	+	0.0896061i	−0.890733	−	0.454527i	$-0.849808\pi$
$101$	−0.519922	+	0.900531i	−0.0517341	+	0.0896061i	0.838999	+	0.544134i	$0.183142\pi$
$102$	2.72745	+	15.4681i	0.270058	+	1.53157i
$103$	−1.93364	−	3.34916i	−0.190527	−	0.330003i	0.754898	−	0.655842i	$-0.227686\pi$
$103$	−1.93364	−	3.34916i	−0.190527	−	0.330003i	−0.945425	+	0.325839i	$0.894353\pi$
$104$	1.57850	−	0.574527i	0.154785	−	0.0563370i
$105$	−11.0371			−1.07711
$106$	−1.95307	+	0.710861i	−0.189699	+	0.0690449i
$107$	1.49178	−	8.46033i	0.144216	−	0.817891i	−0.823777	−	0.566914i	$-0.808137\pi$
$107$	1.49178	−	8.46033i	0.144216	−	0.817891i	0.967993	−	0.250977i	$-0.0807518\pi$
$108$	−0.330374	−	0.277216i	−0.0317902	−	0.0266752i
$109$	1.47875	−	1.24082i	0.141638	−	0.118849i	−0.569216	−	0.822188i	$-0.692753\pi$
$109$	1.47875	−	1.24082i	0.141638	−	0.118849i	0.710854	+	0.703340i	$0.248309\pi$
$110$	−5.28753			−0.504146
$111$	14.7324	+	3.37339i	1.39833	+	0.320188i
$112$	4.44209			0.419738
$113$	−14.2667	+	11.9712i	−1.34210	+	1.12616i	−0.361019	+	0.932558i	$0.617571\pi$
$113$	−14.2667	+	11.9712i	−1.34210	+	1.12616i	−0.981081	+	0.193598i	$0.937984\pi$
$114$	1.73528	+	1.45607i	0.162524	+	0.136374i
$115$	0.948029	−	5.37654i	0.0884041	−	0.501365i
$116$	−6.38169	+	2.32275i	−0.592525	+	0.215662i
$117$	−5.33098			−0.492850
$118$	−8.25951	+	3.00622i	−0.760350	+	0.276745i
$119$	14.0403	+	24.3185i	1.28707	+	2.22927i
$120$	−0.431458	−	2.44692i	−0.0393865	−	0.223372i
$121$	−8.47898	+	14.6860i	−0.770816	+	1.33509i
$122$	−2.62163	−	4.54080i	−0.237351	−	0.411105i
$123$	13.9964	−	11.7443i	1.26201	−	1.05895i
$124$	−1.38969	+	7.88132i	−0.124798	+	0.707763i
$125$	−0.500000	+	0.866025i	−0.0447214	+	0.0774597i
$126$	−13.2471	−	4.82156i	−1.18015	−	0.429539i
$127$	19.5599	+	7.11922i	1.73566	+	0.631729i	0.999007	−	0.0445431i	$-0.0141832\pi$
$127$	19.5599	+	7.11922i	1.73566	+	0.631729i	0.736652	+	0.676272i	$0.236405\pi$
$128$	0.173648	+	0.984808i	0.0153485	+	0.0870455i
$129$	4.16705	+	3.49657i	0.366888	+	0.307856i
$130$	−1.28681	−	1.07976i	−0.112860	−	0.0947010i
$131$	1.08728	+	6.16629i	0.0949963	+	0.538751i	0.994748	+	0.102350i	$0.0326361\pi$
$131$	1.08728	+	6.16629i	0.0949963	+	0.538751i	−0.899752	+	0.436401i	$0.856253\pi$
$132$	−12.3454	−	4.49338i	−1.07453	−	0.391098i
$133$	3.80558	+	1.38512i	0.329985	+	0.120105i
$134$	2.45784	−	4.25711i	0.212325	−	0.367758i
$135$	−0.0748896	+	0.424720i	−0.00644547	+	0.0365541i
$136$	−4.84253	+	4.06337i	−0.415244	+	0.348431i
$137$	11.3335	+	19.6303i	0.968289	+	1.67713i	0.700505	+	0.713648i	$0.252958\pi$
$137$	11.3335	+	19.6303i	0.968289	+	1.67713i	0.267785	+	0.963479i	$0.413708\pi$
$138$	6.78250	−	11.7476i	0.577364	−	1.00002i
$139$	0.372620	+	2.11323i	0.0316052	+	0.179242i	0.996524	−	0.0833066i	$-0.0265481\pi$
$139$	0.372620	+	2.11323i	0.0316052	+	0.179242i	−0.964919	+	0.262549i	$0.915437\pi$
$140$	−2.22104	−	3.84696i	−0.187713	−	0.325128i
$141$	8.04537	−	2.92828i	0.677542	−	0.246605i
$142$	8.07832			0.677918
$143$	−8.34637	+	3.03783i	−0.697958	+	0.254036i
$144$	0.551085	−	3.12536i	0.0459238	−	0.260447i
$145$	5.20240	+	4.36533i	0.432036	+	0.362521i
$146$	6.85912	−	5.75549i	0.567665	−	0.476328i
$147$	−31.6352			−2.60922
$148$	1.78887	+	5.81377i	0.147044	+	0.477889i
$149$	−11.1833			−0.916168			−0.458084	−	0.888909i	$-0.651464\pi$
$149$	−11.1833			−0.916168			−0.458084	+	0.888909i	$0.651464\pi$
$150$	−1.90337	+	1.59711i	−0.155409	+	0.130404i
$151$	−14.2996	−	11.9988i	−1.16369	−	0.976450i	−0.163739	−	0.986504i	$-0.552355\pi$
$151$	−14.2996	−	11.9988i	−1.16369	−	0.976450i	−0.999949	+	0.0100535i	$0.996800\pi$
$152$	−0.158313	+	0.897840i	−0.0128409	+	0.0728245i
$153$	18.8518	−	6.86149i	1.52408	−	0.554719i
$154$	−23.4877			−1.89269
$155$	7.52026	−	2.73715i	0.604042	−	0.219853i
$156$	−2.08688	−	3.61458i	−0.167084	−	0.289398i
$157$	−0.911415	−	5.16889i	−0.0727388	−	0.412522i	−0.999335	−	0.0364643i	$-0.988390\pi$
$157$	−0.911415	−	5.16889i	−0.0727388	−	0.412522i	0.926596	−	0.376058i	$-0.122721\pi$
$158$	1.84764	−	3.20021i	0.146990	−	0.254595i
$159$	2.58209	+	4.47231i	0.204773	+	0.354677i
$160$	0.766044	−	0.642788i	0.0605611	−	0.0508168i
$161$	4.21123	−	23.8831i	0.331891	−	1.88225i
$162$	4.22458	−	7.31718i	0.331914	−	0.574892i
$163$	−1.33617	−	0.486326i	−0.104657	−	0.0380920i	0.289161	−	0.957280i	$-0.406624\pi$
$163$	−1.33617	−	0.486326i	−0.104657	−	0.0380920i	−0.393818	+	0.919189i	$0.628846\pi$
$164$	6.91001	+	2.51504i	0.539581	+	0.196392i
$165$	2.28135	+	12.9382i	0.177603	+	1.00723i
$166$	−13.4039	−	11.2472i	−1.04034	−	0.872950i
$167$	6.35205	+	5.33001i	0.491537	+	0.412448i	0.854577	−	0.519325i	$-0.173817\pi$
$167$	6.35205	+	5.33001i	0.491537	+	0.412448i	−0.363040	+	0.931774i	$0.618261\pi$
$168$	−1.91657	−	10.8694i	−0.147867	−	0.838595i
$169$	9.56443	+	3.48117i	0.735725	+	0.267782i
$170$	5.94024	+	2.16207i	0.455596	+	0.165823i
$171$	1.44666	−	2.50569i	0.110629	−	0.191615i
$172$	−0.380169	+	2.15605i	−0.0289876	+	0.164397i
$173$	−5.43658	+	4.56183i	−0.413336	+	0.346830i	−0.825621	−	0.564225i	$-0.809175\pi$
$173$	−5.43658	+	4.56183i	−0.413336	+	0.346830i	0.412286	+	0.911055i	$0.364731\pi$
$174$	8.43700	+	14.6133i	0.639608	+	1.10783i
$175$	−2.22104	+	3.84696i	−0.167895	+	0.290803i
$176$	−0.918170	−	5.20720i	−0.0692096	−	0.392507i
$177$	10.9196	+	18.9133i	0.820767	+	1.42161i
$178$	−5.71200	+	2.07900i	−0.428132	+	0.155827i
$179$	−19.6593			−1.46940			−0.734701	−	0.678391i	$-0.762678\pi$
$179$	−19.6593			−1.46940			−0.734701	+	0.678391i	$0.762678\pi$
$180$	−2.98218	+	1.08543i	−0.222279	+	0.0809029i
$181$	0.000756204	−	0.00428864i	5.62082e−5	−	0.000318772i	−0.984780	−	0.173808i	$-0.944393\pi$
$181$	0.000756204	−	0.00428864i	5.62082e−5	−	0.000318772i	0.984836	+	0.173489i	$0.0555040\pi$
$182$	−5.71610	−	4.79638i	−0.423706	−	0.355531i
$183$	−9.97985	+	8.37409i	−0.737732	+	0.619031i
$184$	5.45948			0.402478
$185$	4.14044	−	4.45609i	0.304411	−	0.327618i
$186$	19.8845			1.45801
$187$	25.6050	−	21.4852i	1.87242	−	1.57115i
$188$	2.63965	+	2.21493i	0.192516	+	0.161540i
$189$	−0.332666	+	1.88664i	−0.0241979	+	0.137233i
$190$	0.856709	−	0.311817i	0.0621522	−	0.0226216i
$191$	−19.5410			−1.41394			−0.706968	−	0.707245i	$-0.749938\pi$
$191$	−19.5410			−1.41394			−0.706968	+	0.707245i	$0.749938\pi$
$192$	2.33482	−	0.849806i	0.168501	−	0.0613295i
$193$	7.02019	+	12.1593i	0.505324	+	0.875248i	0.999981	+	0.00615905i	$0.00196050\pi$
$193$	7.02019	+	12.1593i	0.505324	+	0.875248i	−0.494657	+	0.869089i	$0.664706\pi$
$194$	−1.65303	−	9.37479i	−0.118681	−	0.673071i
$195$	−2.08688	+	3.61458i	−0.149444	+	0.258845i
$196$	−6.36608	−	11.0264i	−0.454720	−	0.787598i
$197$	−10.9756	+	9.20964i	−0.781981	+	0.656160i	−0.943747	−	0.330669i	$-0.892726\pi$
$197$	−10.9756	+	9.20964i	−0.781981	+	0.656160i	0.161766	+	0.986829i	$0.448281\pi$
$198$	−2.91388	+	16.5254i	−0.207080	+	1.17441i
$199$	−0.0439108	+	0.0760557i	−0.00311275	+	0.00539145i	−0.867578	−	0.497302i	$-0.834324\pi$
$199$	−0.0439108	+	0.0760557i	−0.00311275	+	0.00539145i	0.864465	+	0.502693i	$0.167657\pi$
$200$	−0.939693	−	0.342020i	−0.0664463	−	0.0241845i
$201$	−11.4773	−	4.17738i	−0.809544	−	0.294650i
$202$	0.180567	+	1.02405i	0.0127046	+	0.0720516i
$203$	23.1095	+	19.3912i	1.62197	+	1.36100i
$204$	12.0321	+	10.0961i	0.842414	+	0.706869i
$205$	−1.27692	−	7.24177i	−0.0891839	−	0.505787i
$206$	−3.63406	−	1.32269i	−0.253197	−	0.0921561i
$207$	−16.2812	−	5.92586i	−1.13162	−	0.411876i
$208$	0.839903	−	1.45475i	0.0582368	−	0.100869i
$209$	0.837087	−	4.74736i	0.0579025	−	0.328381i
$210$	−8.45492	+	7.09452i	−0.583445	+	0.489568i
$211$	0.337735	+	0.584974i	0.0232506	+	0.0402713i	0.877417	−	0.479729i	$-0.159265\pi$
$211$	0.337735	+	0.584974i	0.0232506	+	0.0402713i	−0.854166	+	0.520000i	$0.825932\pi$
$212$	−1.03921	+	1.79996i	−0.0713731	+	0.123622i
$213$	−3.48546	−	19.7670i	−0.238820	−	1.35441i
$214$	−4.29542	−	7.43989i	−0.293629	−	0.508580i
$215$	2.05728	−	0.748787i	0.140305	−	0.0510669i
$216$	−0.431272			−0.0293443
$217$	33.4057	−	12.1587i	2.26773	−	0.825385i
$218$	0.335205	−	1.90104i	0.0227029	−	0.128755i
$219$	−17.0426	−	14.3005i	−1.15164	−	0.966337i
$220$	−4.05048	+	3.39876i	−0.273083	+	0.229144i
$221$	10.6188			0.714301
$222$	13.4540	−	6.88561i	0.902974	−	0.462132i
$223$	−6.15012			−0.411843			−0.205921	−	0.978569i	$-0.566019\pi$
$223$	−6.15012			−0.411843			−0.205921	+	0.978569i	$0.566019\pi$
$224$	3.40284	−	2.85532i	0.227362	−	0.190779i
$225$	2.43110	+	2.03993i	0.162073	+	0.135996i
$226$	−3.23400	+	18.3409i	−0.215123	+	1.22002i
$227$	−19.0471	+	6.93258i	−1.26420	+	0.460131i	−0.885176	−	0.465255i	$-0.845962\pi$
$227$	−19.0471	+	6.93258i	−1.26420	+	0.460131i	−0.379024	+	0.925387i	$0.623740\pi$
$228$	2.26525			0.150020
$229$	−15.8884	+	5.78292i	−1.04994	+	0.382146i	−0.808639	−	0.588305i	$-0.799796\pi$
$229$	−15.8884	+	5.78292i	−1.04994	+	0.382146i	−0.241299	+	0.970451i	$0.577573\pi$
$230$	−2.72974	−	4.72805i	−0.179994	−	0.311758i
$231$	10.1339	+	57.4725i	0.666765	+	3.78141i
$232$	−3.39563	+	5.88140i	−0.222934	+	0.386133i
$233$	−11.7796	−	20.4028i	−0.771706	−	1.33663i	−0.936627	−	0.350328i	$-0.886070\pi$
$233$	−11.7796	−	20.4028i	−0.771706	−	1.33663i	0.164921	−	0.986307i	$-0.447263\pi$
$234$	−4.08377	+	3.42669i	−0.266964	+	0.224010i
$235$	0.598359	−	3.39347i	0.0390327	−	0.221365i
$236$	−4.39479	+	7.61201i	−0.286077	+	0.495499i
$237$	−8.62783	−	3.14027i	−0.560438	−	0.203983i
$238$	26.3871	+	9.60411i	1.71042	+	0.622542i
$239$	−1.14869	−	6.51453i	−0.0743024	−	0.421390i	−0.999156	−	0.0410676i	$-0.986924\pi$
$239$	−1.14869	−	6.51453i	−0.0743024	−	0.421390i	0.924854	−	0.380323i	$-0.124187\pi$
$240$	−1.90337	−	1.59711i	−0.122862	−	0.103093i
$241$	18.9715	+	15.9189i	1.22206	+	1.02543i	0.998714	+	0.0506895i	$0.0161419\pi$
$241$	18.9715	+	15.9189i	1.22206	+	1.02543i	0.223344	+	0.974740i	$0.428303\pi$
$242$	2.94472	+	16.7003i	0.189294	+	1.07354i
$243$	−20.9431	−	7.62265i	−1.34350	−	0.488994i
$244$	−4.92706	−	1.79330i	−0.315423	−	0.114804i
$245$	−6.36608	+	11.0264i	−0.406714	+	0.704449i
$246$	3.17272	−	17.9934i	0.202285	−	1.14722i
$247$	1.17317	−	0.984406i	0.0746469	−	0.0626362i
$248$	4.00145	+	6.93071i	0.254092	+	0.440101i
$249$	−21.7377	+	37.6509i	−1.37757	+	2.38603i
$250$	0.173648	+	0.984808i	0.0109825	+	0.0622847i
$251$	7.29586	+	12.6368i	0.460511	+	0.797628i	0.998986	−	0.0450130i	$-0.0143329\pi$
$251$	7.29586	+	12.6368i	0.460511	+	0.797628i	−0.538476	+	0.842641i	$0.681000\pi$
$252$	−13.2471	+	4.82156i	−0.834490	+	0.303730i
$253$	−28.8672			−1.81486
$254$	19.5599	−	7.11922i	1.22730	−	0.446700i
$255$	2.72745	−	15.4681i	0.170800	−	0.968653i
$256$	0.766044	+	0.642788i	0.0478778	+	0.0401742i
$257$	7.25656	−	6.08898i	0.452652	−	0.379820i	−0.387767	−	0.921757i	$-0.626754\pi$
$257$	7.25656	−	6.08898i	0.452652	−	0.379820i	0.840419	+	0.541938i	$0.182309\pi$
$258$	5.43970			0.338661
$259$	18.3922	−	19.7944i	1.14284	−	1.22996i
$260$	−1.67981			−0.104177
$261$	16.5102	−	13.8537i	1.02196	−	0.857523i
$262$	4.79652	+	4.02476i	0.296330	+	0.248650i
$263$	−0.660117	+	3.74371i	−0.0407046	+	0.230847i	−0.998373	−	0.0570278i	$-0.981838\pi$
$263$	−0.660117	+	3.74371i	−0.0407046	+	0.230847i	0.957668	+	0.287875i	$0.0929487\pi$
$264$	−12.3454	+	4.49338i	−0.759810	+	0.276548i
$265$	2.07842			0.127676
$266$	3.80558	−	1.38512i	0.233335	−	0.0849270i
$267$	7.55162	+	13.0798i	0.462152	+	0.800471i
$268$	−0.853600	−	4.84101i	−0.0521419	−	0.295712i
$269$	−1.58371	+	2.74307i	−0.0965608	+	0.167248i	−0.910259	−	0.414039i	$-0.864118\pi$
$269$	−1.58371	+	2.74307i	−0.0965608	+	0.167248i	0.813698	+	0.581288i	$0.197451\pi$
$270$	0.215636	+	0.373493i	0.0131232	+	0.0227300i
$271$	1.60440	−	1.34625i	0.0974603	−	0.0817789i	−0.592756	−	0.805382i	$-0.701960\pi$
$271$	1.60440	−	1.34625i	0.0974603	−	0.0817789i	0.690216	+	0.723603i	$0.257516\pi$
$272$	−1.09771	+	6.22544i	−0.0665586	+	0.377473i
$273$	−9.27010	+	16.0563i	−0.561052	+	0.971771i
$274$	21.3001	+	7.75260i	1.28679	+	0.468351i
$275$	4.96865	+	1.80844i	0.299621	+	0.109053i
$276$	−2.35554	−	13.3589i	−0.141787	−	0.804112i
$277$	−8.37851	−	7.03040i	−0.503416	−	0.422416i	0.355389	−	0.934718i	$-0.384348\pi$
$277$	−8.37851	−	7.03040i	−0.503416	−	0.422416i	−0.858805	+	0.512302i	$0.828793\pi$
$278$	1.64380	+	1.37931i	0.0985888	+	0.0827258i
$279$	−4.41028	−	25.0119i	−0.264037	−	1.49743i
$280$	−4.17420	−	1.51928i	−0.249456	−	0.0907946i
$281$	26.9909	+	9.82388i	1.61014	+	0.586044i	0.981468	−	0.191626i	$-0.0613759\pi$
$281$	26.9909	+	9.82388i	1.61014	+	0.586044i	0.628674	+	0.777669i	$0.283598\pi$
$282$	4.28085	−	7.41465i	0.254921	−	0.441536i
$283$	2.20884	−	12.5270i	0.131302	−	0.744652i	−0.846061	−	0.533085i	$-0.821032\pi$
$283$	2.20884	−	12.5270i	0.131302	−	0.744652i	0.977364	−	0.211566i	$-0.0678564\pi$
$284$	6.18835	−	5.19265i	0.367211	−	0.308127i
$285$	−1.13262	−	1.96176i	−0.0670909	−	0.116205i
$286$	−4.44101	+	7.69205i	−0.262602	+	0.454841i
$287$	−5.67219	−	32.1686i	−0.334819	−	1.89885i
$288$	−1.58679	−	2.74840i	−0.0935023	−	0.161951i
$289$	−21.5763	+	7.85314i	−1.26919	+	0.461949i
$290$	6.79125			0.398796
$291$	−22.2262	+	8.08966i	−1.30292	+	0.474224i
$292$	1.55484	−	8.81792i	0.0909900	−	0.516030i
$293$	17.9941	+	15.0988i	1.05123	+	0.882084i	0.993222	−	0.116233i	$-0.0370819\pi$
$293$	17.9941	+	15.0988i	1.05123	+	0.882084i	0.0580042	+	0.998316i	$0.481526\pi$
$294$	−24.2339	+	20.3347i	−1.41335	+	1.18594i
$295$	8.78959			0.511750
$296$	5.10737	+	3.30375i	0.296860	+	0.192026i
$297$	2.28036			0.132320
$298$	−8.56687	+	7.18846i	−0.496265	+	0.416416i
$299$	−7.02529	−	5.89492i	−0.406283	−	0.340912i
$300$	−0.431458	+	2.44692i	−0.0249102	+	0.141273i
$301$	9.13860	−	3.32618i	0.526740	−	0.191718i
$302$	−18.6669			−1.07416
$303$	2.42785	−	0.883665i	0.139476	−	0.0507652i
$304$	0.455845	+	0.789547i	0.0261445	+	0.0452837i
$305$	0.910483	+	5.16361i	0.0521341	+	0.295667i
$306$	10.0308	−	17.3739i	0.573424	−	0.993200i
$307$	−0.0852831	−	0.147715i	−0.00486736	−	0.00843052i	0.863581	−	0.504209i	$-0.168216\pi$
$307$	−0.0852831	−	0.147715i	−0.00486736	−	0.00843052i	−0.868449	+	0.495779i	$0.834883\pi$
$308$	−17.9926	+	15.0976i	−1.02522	+	0.860265i
$309$	−1.66857	+	9.46293i	−0.0949216	+	0.538327i
$310$	4.00145	−	6.93071i	0.227267	−	0.393638i
$311$	−8.00050	−	2.91194i	−0.453667	−	0.165121i	0.105073	−	0.994465i	$-0.466493\pi$
$311$	−8.00050	−	2.91194i	−0.453667	−	0.165121i	−0.558739	+	0.829343i	$0.688715\pi$
$312$	−3.92205	−	1.42751i	−0.222042	−	0.0808168i
$313$	0.277960	+	1.57639i	0.0157112	+	0.0891028i	0.991655	−	0.128919i	$-0.0411507\pi$
$313$	0.277960	+	1.57639i	0.0157112	+	0.0891028i	−0.975944	+	0.218022i	$0.930040\pi$
$314$	−4.02068	−	3.37375i	−0.226900	−	0.190392i
$315$	10.7992	+	9.06157i	0.608463	+	0.510561i
$316$	−0.641679	−	3.63914i	−0.0360973	−	0.204718i
$317$	−2.35418	−	0.856852i	−0.132224	−	0.0481256i	0.275061	−	0.961427i	$-0.411302\pi$
$317$	−2.35418	−	0.856852i	−0.132224	−	0.0481256i	−0.407285	+	0.913301i	$0.633524\pi$
$318$	4.85274	+	1.76625i	0.272128	+	0.0990465i
$319$	17.9545	−	31.0981i	1.00526	−	1.74116i
$320$	0.173648	−	0.984808i	0.00970723	−	0.0550524i
$321$	−16.3515	+	13.7206i	−0.912653	+	0.765807i
$322$	−12.1257	−	21.0024i	−0.675741	−	1.17042i
$323$	−2.88162	+	4.99110i	−0.160337	+	0.277712i
$324$	−1.46718	−	8.32079i	−0.0815100	−	0.462266i
$325$	0.839903	+	1.45475i	0.0465894	+	0.0806952i
$326$	−1.33617	+	0.486326i	−0.0740035	+	0.0269351i
$327$	−4.79632			−0.265237
$328$	6.91001	−	2.51504i	0.381542	−	0.138870i
$329$	2.65797	−	15.0741i	0.146538	−	0.831061i
$330$	10.0641	+	8.44478i	0.554011	+	0.464870i
$331$	21.1890	−	17.7796i	1.16465	−	0.977257i	0.164691	−	0.986345i	$-0.447337\pi$
$331$	21.1890	−	17.7796i	1.16465	−	0.977257i	0.999959	+	0.00908766i	$0.00289273\pi$
$332$	−17.4975			−0.960300
$333$	−11.6452	−	15.3961i	−0.638150	−	0.843699i
$334$	8.29202			0.453719
$335$	−3.76563	+	3.15974i	−0.205739	+	0.172635i
$336$	−8.45492	−	7.09452i	−0.461254	−	0.387038i
$337$	−5.01704	+	28.4530i	−0.273295	+	1.54994i	0.471030	+	0.882117i	$0.343883\pi$
$337$	−5.01704	+	28.4530i	−0.273295	+	1.54994i	−0.744325	+	0.667818i	$0.767229\pi$
$338$	9.56443	−	3.48117i	0.520236	−	0.189351i
$339$	46.2742			2.51327
$340$	5.94024	−	2.16207i	0.322155	−	0.117255i
$341$	−21.1578	−	36.6463i	−1.14576	−	1.98451i
$342$	−0.502419	−	2.84936i	−0.0271677	−	0.154076i
$343$	−12.7314	+	22.0514i	−0.687429	+	1.19066i
$344$	1.09465	+	1.89600i	0.0590198	+	0.102225i
$345$	−10.3914	+	8.71941i	−0.559453	+	0.469437i
$346$	−1.23237	+	6.98913i	−0.0662528	+	0.375738i
$347$	−1.52466	+	2.64080i	−0.0818483	+	0.141765i	−0.904044	−	0.427440i	$-0.859416\pi$
$347$	−1.52466	+	2.64080i	−0.0818483	+	0.141765i	0.822196	+	0.569205i	$0.192749\pi$
$348$	15.8564	+	5.77125i	0.849991	+	0.309372i
$349$	7.67442	+	2.79326i	0.410802	+	0.149520i	0.539151	−	0.842209i	$-0.318745\pi$
$349$	7.67442	+	2.79326i	0.410802	+	0.149520i	−0.128348	+	0.991729i	$0.540968\pi$
$350$	0.771361	+	4.37460i	0.0412310	+	0.233832i
$351$	0.554963	+	0.465669i	0.0296217	+	0.0248556i
$352$	−4.05048	−	3.39876i	−0.215891	−	0.181154i
$353$	−4.18874	−	23.7555i	−0.222944	−	1.26438i	−0.866576	−	0.499045i	$-0.833684\pi$
$353$	−4.18874	−	23.7555i	−0.222944	−	1.26438i	0.643632	−	0.765335i	$-0.277427\pi$
$354$	20.5221	+	7.46945i	1.09074	+	0.396997i
$355$	−7.59114	−	2.76295i	−0.402896	−	0.146642i
$356$	−3.03929	+	5.26420i	−0.161082	+	0.279002i
$357$	12.1156	−	68.7109i	0.641224	−	3.63656i
$358$	−15.0599	+	12.6367i	−0.795939	+	0.667872i
$359$	−1.29726	−	2.24692i	−0.0684666	−	0.118588i	0.829760	−	0.558121i	$-0.188477\pi$
$359$	−1.29726	−	2.24692i	−0.0684666	−	0.118588i	−0.898226	+	0.439533i	$0.855144\pi$
$360$	−1.58679	+	2.74840i	−0.0836310	+	0.144853i
$361$	−3.15498	−	17.8928i	−0.166052	−	0.941726i
$362$	−0.00217740	−	0.00377137i	−0.000114442	−	0.000198219i
$363$	39.5938	−	14.4110i	2.07814	−	0.756380i
$364$	−7.46184			−0.391107
$365$	−8.41396	+	3.06243i	−0.440407	+	0.160295i
$366$	−2.26225	+	12.8299i	−0.118250	+	0.670627i
$367$	−11.0205	−	9.24729i	−0.575265	−	0.482705i	0.308123	−	0.951346i	$-0.400299\pi$
$367$	−11.0205	−	9.24729i	−0.575265	−	0.482705i	−0.883388	+	0.468642i	$0.844744\pi$
$368$	4.18220	−	3.50929i	0.218012	−	0.182934i
$369$	−23.3368			−1.21487
$370$	0.307442	−	6.07499i	0.0159832	−	0.315824i
$371$	9.23251			0.479328
$372$	15.2324	−	12.7815i	0.789765	−	0.662692i
$373$	20.9166	+	17.5511i	1.08302	+	0.908763i	0.996168	−	0.0874583i	$-0.0278745\pi$
$373$	20.9166	+	17.5511i	1.08302	+	0.908763i	0.0868532	+	0.996221i	$0.472319\pi$
$374$	5.80419	−	32.9172i	0.300127	−	1.70211i
$375$	2.33482	−	0.849806i	0.120570	−	0.0438838i
$376$	3.44581			0.177704
$377$	10.7200	−	3.90176i	0.552108	−	0.200951i
$378$	0.957874	+	1.65909i	0.0492677	+	0.0853342i
$379$	1.74818	+	9.91441i	0.0897979	+	0.509269i	0.996218	+	0.0868914i	$0.0276933\pi$
$379$	1.74818	+	9.91441i	0.0897979	+	0.509269i	−0.906420	+	0.422378i	$0.861196\pi$
$380$	0.455845	−	0.789547i	0.0233844	−	0.0405029i
$381$	−25.8594	−	44.7898i	−1.32482	−	2.29465i
$382$	−14.9693	+	12.5607i	−0.765894	+	0.642662i
$383$	−3.14720	+	17.8487i	−0.160815	+	0.912025i	0.792461	+	0.609923i	$0.208799\pi$
$383$	−3.14720	+	17.8487i	−0.160815	+	0.912025i	−0.953276	+	0.302102i	$0.902312\pi$
$384$	1.24233	−	2.15179i	0.0633976	−	0.109808i
$385$	22.0712	+	8.03326i	1.12485	+	0.409413i
$386$	13.1936	+	4.80209i	0.671539	+	0.244420i
$387$	−1.20649	−	6.84237i	−0.0613296	−	0.347817i
$388$	−7.29229	−	6.11896i	−0.370210	−	0.310643i
$389$	−24.1229	−	20.2415i	−1.22308	−	1.02629i	−0.998658	−	0.0517957i	$-0.983506\pi$
$389$	−24.1229	−	20.2415i	−1.22308	−	1.02629i	−0.224424	−	0.974492i	$-0.572050\pi$
$390$	0.724765	+	4.11035i	0.0366999	+	0.208136i
$391$	32.4306	+	11.8038i	1.64009	+	0.596943i
$392$	−11.9643	−	4.35465i	−0.604289	−	0.219943i
$393$	7.77876	−	13.4732i	0.392387	−	0.679634i
$394$	−2.48797	+	14.1100i	−0.125342	+	0.710851i
$395$	−2.83075	+	2.37528i	−0.142431	+	0.119513i
$396$	8.39018	+	14.5322i	0.421622	+	0.730271i
$397$	2.82567	−	4.89421i	0.141817	−	0.245633i	−0.786364	−	0.617763i	$-0.788039\pi$
$397$	2.82567	−	4.89421i	0.141817	−	0.245633i	0.928181	+	0.372130i	$0.121372\pi$
$398$	0.0152501	+	0.0864874i	0.000764416	+	0.00433522i
$399$	−5.03122	−	8.71433i	−0.251876	−	0.436262i
$400$	−0.939693	+	0.342020i	−0.0469846	+	0.0171010i
$401$	−19.7423			−0.985882			−0.492941	−	0.870063i	$-0.664078\pi$
$401$	−19.7423			−0.985882			−0.492941	+	0.870063i	$0.664078\pi$
$402$	−11.4773	+	4.17738i	−0.572434	+	0.208349i
$403$	2.33441	−	13.2391i	0.116285	−	0.659485i
$404$	0.796566	+	0.668398i	0.0396306	+	0.0332541i
$405$	−6.47243	+	5.43101i	−0.321617	+	0.269869i
$406$	30.1674			1.49718
$407$	−27.0054	−	17.4687i	−1.33861	−	0.865889i
$408$	15.7068			0.777601
$409$	−22.4923	+	18.8733i	−1.11217	+	0.933225i	−0.998183	−	0.0602573i	$-0.980808\pi$
$409$	−22.4923	+	18.8733i	−1.11217	+	0.933225i	−0.113991	+	0.993482i	$0.536363\pi$
$410$	−5.63309	−	4.72673i	−0.278199	−	0.233436i
$411$	9.77989	−	55.4645i	0.482406	−	2.73586i
$412$	−3.63406	+	1.32269i	−0.179037	+	0.0651642i
$413$	39.0441			1.92124
$414$	−16.2812	+	5.92586i	−0.800176	+	0.291240i
$415$	8.74875	+	15.1533i	0.429459	+	0.743845i
$416$	−0.291695	−	1.65429i	−0.0143015	−	0.0811080i
$417$	2.66584	−	4.61737i	0.130547	−	0.226114i
$418$	−2.41030	−	4.17475i	−0.117891	−	0.204194i
$419$	18.7821	−	15.7601i	0.917567	−	0.769930i	−0.0559763	−	0.998432i	$-0.517827\pi$
$419$	18.7821	−	15.7601i	0.917567	−	0.769930i	0.973543	+	0.228502i	$0.0733827\pi$
$420$	−1.91657	+	10.8694i	−0.0935193	+	0.530374i
$421$	4.43385	−	7.67966i	0.216093	−	0.374284i	−0.737517	−	0.675328i	$-0.764002\pi$
$421$	4.43385	−	7.67966i	0.216093	−	0.374284i	0.953610	+	0.301045i	$0.0973353\pi$
$422$	0.634734	+	0.231024i	0.0308984	+	0.0112461i
$423$	−10.2761	−	3.74018i	−0.499639	−	0.181854i
$424$	0.360913	+	2.04684i	0.0175275	+	0.0994034i
$425$	−4.84253	−	4.06337i	−0.234897	−	0.197102i
$426$	−15.3760	−	12.9020i	−0.744970	−	0.625104i
$427$	4.04445	+	22.9372i	0.195725	+	1.11001i
$428$	−8.07275	−	2.93824i	−0.390211	−	0.142025i
$429$	20.7379	+	7.54800i	1.00124	+	0.364421i
$430$	1.09465	−	1.89600i	0.0527889	−	0.0914330i
$431$	−3.24712	+	18.4153i	−0.156408	+	0.887035i	0.801079	+	0.598559i	$0.204260\pi$
$431$	−3.24712	+	18.4153i	−0.156408	+	0.887035i	−0.957487	+	0.288476i	$0.906851\pi$
$432$	−0.330374	+	0.277216i	−0.0158951	+	0.0133376i
$433$	6.99389	+	12.1138i	0.336105	+	0.582151i	0.983696	−	0.179837i	$-0.0575570\pi$
$433$	6.99389	+	12.1138i	0.336105	+	0.582151i	−0.647592	+	0.761988i	$0.724224\pi$
$434$	17.7748	−	30.7868i	0.853217	−	1.47782i
$435$	−2.93014	−	16.6177i	−0.140490	−	0.796756i
$436$	−0.965184	−	1.67175i	−0.0462239	−	0.0800622i
$437$	4.67719	−	1.70236i	0.223740	−	0.0814348i
$438$	−22.2476			−1.06303
$439$	−11.7140	+	4.26355i	−0.559079	+	0.203488i	−0.606076	−	0.795407i	$-0.707257\pi$
$439$	−11.7140	+	4.26355i	−0.559079	+	0.203488i	0.0469967	+	0.998895i	$0.485035\pi$
$440$	−0.918170	+	5.20720i	−0.0437720	+	0.248243i
$441$	30.9531	+	25.9727i	1.47396	+	1.23680i
$442$	8.13451	−	6.82566i	0.386919	−	0.324664i
$443$	−27.6118			−1.31188			−0.655938	−	0.754815i	$-0.727727\pi$
$443$	−27.6118			−1.31188			−0.655938	+	0.754815i	$0.727727\pi$
$444$	5.88039	−	13.9228i	0.279071	−	0.660745i
$445$	6.07858			0.288152
$446$	−4.71127	+	3.95322i	−0.223085	+	0.187191i
$447$	21.2858	+	17.8609i	1.00678	+	0.844793i
$448$	0.771361	−	4.37460i	0.0364434	−	0.206681i
$449$	15.7686	−	5.73931i	0.744167	−	0.270855i	0.0580178	−	0.998316i	$-0.481522\pi$
$449$	15.7686	−	5.73931i	0.744167	−	0.270855i	0.686149	+	0.727461i	$0.259300\pi$
$450$	3.17357			0.149604
$451$	−36.5369	+	13.2983i	−1.72046	+	0.626194i
$452$	9.31194	+	16.1288i	0.437997	+	0.758633i
$453$	8.05396	+	45.6763i	0.378408	+	2.14606i
$454$	−10.1348	+	17.5539i	−0.475647	+	0.823846i
$455$	3.73092	+	6.46215i	0.174908	+	0.302950i
$456$	1.73528	−	1.45607i	0.0812620	−	0.0681869i
$457$	0.949626	−	5.38560i	0.0444216	−	0.251928i	−0.954508	−	0.298186i	$-0.903619\pi$
$457$	0.949626	−	5.38560i	0.0444216	−	0.251928i	0.998930	+	0.0462580i	$0.0147296\pi$
$458$	−8.45407	+	14.6429i	−0.395033	+	0.684216i
$459$	−2.56186	−	0.932441i	−0.119577	−	0.0435226i
$460$	−5.13023	−	1.86725i	−0.239198	−	0.0870611i
$461$	−1.37928	−	7.82228i	−0.0642394	−	0.364320i	−0.999934	−	0.0115081i	$-0.996337\pi$
$461$	−1.37928	−	7.82228i	−0.0642394	−	0.364320i	0.935694	−	0.352812i	$-0.114774\pi$
$462$	44.7056	+	37.5125i	2.07989	+	1.74524i
$463$	27.5357	+	23.1052i	1.27969	+	1.07379i	0.993287	+	0.115679i	$0.0369043\pi$
$463$	27.5357	+	23.1052i	1.27969	+	1.07379i	0.286404	+	0.958109i	$0.407540\pi$
$464$	1.17929	+	6.68808i	0.0547471	+	0.310486i
$465$	−18.6854	−	6.80091i	−0.866513	−	0.315385i
$466$	−22.1384	−	8.05771i	−1.02554	−	0.373266i
$467$	−4.93233	+	8.54304i	−0.228241	+	0.395325i	−0.957287	−	0.289140i	$-0.906631\pi$
$467$	−4.93233	+	8.54304i	−0.228241	+	0.395325i	0.729046	+	0.684465i	$0.239964\pi$
$468$	−0.925716	+	5.25000i	−0.0427912	+	0.242681i
$469$	−16.7273	+	14.0359i	−0.772394	+	0.648116i
$470$	−1.72291	−	2.98416i	−0.0794718	−	0.137649i
$471$	−6.52055	+	11.2939i	−0.300451	+	0.520396i
$472$	1.52630	+	8.65605i	0.0702535	+	0.398427i
$473$	−5.78801	−	10.0251i	−0.266133	−	0.460956i
$474$	−8.62783	+	3.14027i	−0.396290	+	0.144238i
$475$	−0.911691			−0.0418312
$476$	26.3871	−	9.60411i	1.20945	−	0.440204i
$477$	1.14539	−	6.49580i	0.0524436	−	0.297422i
$478$	−5.06741	−	4.25206i	−0.231778	−	0.194485i
$479$	−7.87806	+	6.61047i	−0.359958	+	0.302040i	−0.804774	−	0.593582i	$-0.797713\pi$
$479$	−7.87806	+	6.61047i	−0.359958	+	0.302040i	0.444816	+	0.895622i	$0.353269\pi$
$480$	−2.48467			−0.113409
$481$	−3.00495	−	9.76601i	−0.137014	−	0.445292i
$482$	24.7655			1.12804
$483$	−46.1595	+	38.7324i	−2.10033	+	1.76238i
$484$	12.9906	+	10.9004i	0.590480	+	0.495471i
$485$	−1.65303	+	9.37479i	−0.0750602	+	0.425687i
$486$	−20.9431	+	7.62265i	−0.949997	+	0.345771i
$487$	19.3628			0.877413			0.438706	−	0.898630i	$-0.355437\pi$
$487$	19.3628			0.877413			0.438706	+	0.898630i	$0.355437\pi$
$488$	−4.92706	+	1.79330i	−0.223037	+	0.0811790i
$489$	1.76650	+	3.05967i	0.0798839	+	0.138363i
$490$	2.21091	+	12.5387i	0.0998790	+	0.566442i
$491$	10.8646	−	18.8180i	0.490312	−	0.849245i	−0.509626	−	0.860396i	$-0.670216\pi$
$491$	10.8646	−	18.8180i	0.490312	−	0.849245i	0.999938	+	0.0111507i	$0.00354946\pi$
$492$	−9.13548	−	15.8231i	−0.411859	−	0.713361i
$493$	−32.8869	+	27.5953i	−1.48115	+	1.24283i
$494$	0.265936	−	1.50820i	0.0119650	−	0.0678570i
$495$	8.39018	−	14.5322i	0.377111	−	0.653175i
$496$	7.52026	+	2.73715i	0.337670	+	0.122902i
$497$	−33.7205	−	12.2733i	−1.51257	−	0.550531i
$498$	7.54944	+	42.8150i	0.338298	+	1.91859i
$499$	−11.0299	−	9.25523i	−0.493768	−	0.414321i	0.361606	−	0.932331i	$-0.382229\pi$
$499$	−11.0299	−	9.25523i	−0.493768	−	0.414321i	−0.855374	+	0.518010i	$0.826673\pi$
$500$	0.766044	+	0.642788i	0.0342585	+	0.0287463i
$501$	−3.57766	−	20.2899i	−0.159838	−	0.906486i
$502$	13.7117	+	4.99066i	0.611985	+	0.222744i
$503$	8.68959	+	3.16275i	0.387449	+	0.141020i	0.528398	−	0.848997i	$-0.322793\pi$
$503$	8.68959	+	3.16275i	0.387449	+	0.141020i	−0.140948	+	0.990017i	$0.545015\pi$
$504$	−7.04865	+	12.2086i	−0.313972	+	0.543815i
$505$	0.180567	−	1.02405i	0.00803512	−	0.0455694i
$506$	−22.1135	+	18.5554i	−0.983066	+	0.824890i
$507$	−12.6448	−	21.9014i	−0.561575	−	0.972676i
$508$	10.4076	−	18.0265i	0.461763	−	0.799796i
$509$	2.50276	+	14.1939i	0.110933	+	0.629133i	0.988684	+	0.150015i	$0.0479322\pi$
$509$	2.50276	+	14.1939i	0.110933	+	0.629133i	−0.877751	+	0.479118i	$0.840957\pi$
$510$	−7.85338	−	13.6025i	−0.347754	−	0.602327i
$511$	−37.3756	+	13.6036i	−1.65340	+	0.601787i
$512$	1.00000			0.0441942
$513$	−0.369475	+	0.134478i	−0.0163127	+	0.00593734i
$514$	1.64493	−	9.32885i	0.0725547	−	0.411478i
$515$	2.96251	+	2.48584i	0.130544	+	0.109539i
$516$	4.16705	−	3.49657i	0.183444	−	0.153928i
$517$	−18.2198			−0.801308
$518$	1.36569	−	26.9856i	0.0600048	−	1.18568i
$519$	17.6336			0.774028
$520$	−1.28681	+	1.07976i	−0.0564302	+	0.0473505i
$521$	−10.0526	−	8.43514i	−0.440413	−	0.369550i	0.395451	−	0.918487i	$-0.370588\pi$
$521$	−10.0526	−	8.43514i	−0.440413	−	0.369550i	−0.835864	+	0.548937i	$0.815033\pi$
$522$	3.74256	−	21.2251i	0.163807	−	0.928998i
$523$	−13.8076	+	5.02555i	−0.603764	+	0.219752i	−0.625772	−	0.780006i	$-0.715216\pi$
$523$	−13.8076	+	5.02555i	−0.603764	+	0.219752i	0.0220086	+	0.999758i	$0.492994\pi$
$524$	6.26141			0.273531
$525$	10.3715	−	3.77492i	0.452649	−	0.164751i
$526$	1.90073	+	3.29216i	0.0828759	+	0.143545i
$527$	8.78488	+	49.8215i	0.382675	+	2.17026i
$528$	−6.56888	+	11.3776i	−0.285874	+	0.495148i
$529$	−3.40296	−	5.89410i	−0.147955	−	0.256265i
$530$	1.59216	−	1.33598i	0.0691590	−	0.0580313i
$531$	4.84381	−	27.4706i	0.210204	−	1.19212i
$532$	2.02491	−	3.50724i	0.0877908	−	0.152058i
$533$	−11.6075	−	4.22478i	−0.502776	−	0.182995i
$534$	14.1924	+	5.16562i	0.614166	+	0.223538i
$535$	1.49178	+	8.46033i	0.0644955	+	0.365772i
$536$	−3.76563	−	3.15974i	−0.162651	−	0.136480i
$537$	37.4188	+	31.3981i	1.61474	+	1.35493i
$538$	0.550018	+	3.11931i	0.0237130	+	0.134483i
$539$	63.2616	+	23.0253i	2.72487	+	0.991772i
$540$	0.405263	+	0.147504i	0.0174398	+	0.00634755i
$541$	19.4181	−	33.6331i	0.834848	−	1.44600i	−0.0593056	−	0.998240i	$-0.518889\pi$
$541$	19.4181	−	33.6331i	0.834848	−	1.44600i	0.894154	−	0.447760i	$-0.147778\pi$
$542$	0.363688	−	2.06258i	0.0156217	−	0.0885952i
$543$	−0.00828878	+	0.00695511i	−0.000355706	+	0.000298473i
$544$	3.16074	+	5.47456i	0.135515	+	0.234720i
$545$	−0.965184	+	1.67175i	−0.0413439	+	0.0716098i
$546$	3.21947	+	18.2585i	0.137781	+	0.781393i
$547$	13.5046	+	23.3907i	0.577417	+	1.00012i	0.995774	+	0.0918333i	$0.0292727\pi$
$547$	13.5046	+	23.3907i	0.577417	+	1.00012i	−0.418357	+	0.908283i	$0.637394\pi$
$548$	21.3001	−	7.75260i	0.909894	−	0.331175i
$549$	16.6399			0.710173
$550$	4.96865	−	1.80844i	0.211864	−	0.0771122i
$551$	−1.07515	+	6.09746i	−0.0458028	+	0.259761i
$552$	−10.3914	−	8.71941i	−0.442287	−	0.371123i
$553$	−12.5744	+	10.5512i	−0.534720	+	0.448683i
$554$	−10.9374			−0.464684
$555$	−14.9977	+	1.86882i	−0.636615	+	0.0793268i
$556$	2.14583			0.0910036
$557$	−10.5447	+	8.84806i	−0.446793	+	0.374904i	−0.838244	−	0.545295i	$-0.816418\pi$
$557$	−10.5447	+	8.84806i	−0.446793	+	0.374904i	0.391451	+	0.920199i	$0.371973\pi$
$558$	−19.4558	−	16.3254i	−0.823631	−	0.691109i
$559$	0.638610	−	3.62174i	0.0270103	−	0.153183i
$560$	−4.17420	+	1.51928i	−0.176392	+	0.0642015i
$561$	−83.0500			−3.50637
$562$	26.9909	−	9.82388i	1.13854	−	0.414395i
$563$	20.0842	+	34.7868i	0.846447	+	1.46609i	0.884358	+	0.466809i	$0.154596\pi$
$563$	20.0842	+	34.7868i	0.846447	+	1.46609i	−0.0379112	+	0.999281i	$0.512070\pi$
$564$	−1.48672	−	8.43163i	−0.0626024	−	0.355036i
$565$	9.31194	−	16.1288i	0.391756	−	0.678542i
$566$	−6.36011	−	11.0160i	−0.267336	−	0.463039i
$567$	−28.7511	+	24.1250i	−1.20743	+	1.01316i
$568$	1.40279	−	7.95559i	0.0588596	−	0.333809i
$569$	−9.80627	+	16.9850i	−0.411100	+	0.712047i	−0.995010	−	0.0997717i	$-0.968189\pi$
$569$	−9.80627	+	16.9850i	−0.411100	+	0.712047i	0.583910	+	0.811818i	$0.301522\pi$
$570$	−2.12864	−	0.774761i	−0.0891588	−	0.0324512i
$571$	−16.4395	−	5.98348i	−0.687970	−	0.250401i	−0.0257043	−	0.999670i	$-0.508183\pi$
$571$	−16.4395	−	5.98348i	−0.687970	−	0.250401i	−0.662266	+	0.749269i	$0.730405\pi$
$572$	1.54235	+	8.74708i	0.0644887	+	0.365734i
$573$	37.1937	+	31.2092i	1.55379	+	1.30378i
$574$	−25.0227	−	20.9965i	−1.04443	−	0.876379i
$575$	0.948029	+	5.37654i	0.0395355	+	0.224217i
$576$	−2.98218	−	1.08543i	−0.124258	−	0.0452261i
$577$	−33.3112	−	12.1243i	−1.38676	−	0.504741i	−0.462542	−	0.886597i	$-0.653063\pi$
$577$	−33.3112	−	12.1243i	−1.38676	−	0.504741i	−0.924222	+	0.381857i	$0.875285\pi$
$578$	−11.4805	+	19.8848i	−0.477527	+	0.827100i
$579$	6.05784	−	34.3557i	0.251755	−	1.42777i
$580$	5.20240	−	4.36533i	0.216018	−	0.181261i
$581$	38.8627	+	67.3122i	1.61230	+	2.79258i
$582$	−11.8263	+	20.4837i	−0.490215	+	0.849078i
$583$	−1.90834	−	10.8227i	−0.0790354	−	0.448232i
$584$	−4.47698	−	7.75435i	−0.185259	−	0.320877i
$585$	5.00949	−	1.82330i	0.207117	−	0.0753844i
$586$	23.4896			0.970347
$587$	−21.3532	+	7.77193i	−0.881341	+	0.320782i	−0.742751	−	0.669568i	$-0.766479\pi$
$587$	−21.3532	+	7.77193i	−0.881341	+	0.320782i	−0.138590	+	0.990350i	$0.544257\pi$
$588$	−5.49339	+	31.1546i	−0.226544	+	1.28479i
$589$	5.58919	+	4.68989i	0.230299	+	0.193243i
$590$	6.73321	−	5.64984i	0.277202	−	0.232600i
$591$	35.5995			1.46437
$592$	6.03608	−	0.752139i	0.248081	−	0.0309127i
$593$	−14.9285			−0.613038			−0.306519	−	0.951864i	$-0.599164\pi$
$593$	−14.9285			−0.613038			−0.306519	+	0.951864i	$0.599164\pi$
$594$	1.74686	−	1.46579i	0.0716745	−	0.0601421i
$595$	−21.5109	−	18.0498i	−0.881863	−	0.739971i
$596$	−1.94195	+	11.0134i	−0.0795454	+	0.451125i
$597$	0.205048	−	0.0746313i	0.00839205	−	0.00305446i
$598$	−9.17086			−0.375024
$599$	39.1215	−	14.2390i	1.59846	−	0.581792i	0.619348	−	0.785116i	$-0.287397\pi$
$599$	39.1215	−	14.2390i	1.59846	−	0.581792i	0.979111	+	0.203325i	$0.0651747\pi$
$600$	1.24233	+	2.15179i	0.0507181	+	0.0878463i
$601$	−6.22380	−	35.2969i	−0.253874	−	1.43979i	−0.798946	−	0.601403i	$-0.794609\pi$
$601$	−6.22380	−	35.2969i	−0.253874	−	1.43979i	0.545072	−	0.838389i	$-0.316502\pi$
$602$	4.86255	−	8.42218i	0.198183	−	0.343262i
$603$	7.80015	+	13.5102i	0.317647	+	0.550180i
$604$	−14.2996	+	11.9988i	−0.581844	+	0.488225i
$605$	2.94472	−	16.7003i	0.119720	−	0.678965i
$606$	1.29183	−	2.23752i	0.0524771	−	0.0908930i
$607$	−28.4549	−	10.3567i	−1.15495	−	0.420367i	−0.307658	−	0.951497i	$-0.599545\pi$
$607$	−28.4549	−	10.3567i	−1.15495	−	0.420367i	−0.847290	+	0.531130i	$0.821768\pi$
$608$	0.856709	+	0.311817i	0.0347441	+	0.0126458i
$609$	−13.0159	−	73.8171i	−0.527433	−	2.99122i
$610$	4.01657	+	3.37031i	0.162626	+	0.136460i
$611$	−4.43409	−	3.72065i	−0.179384	−	0.150521i
$612$	−3.48367	−	19.7569i	−0.140819	−	0.798625i
$613$	5.44371	+	1.98135i	0.219869	+	0.0800259i	0.449606	−	0.893227i	$-0.351564\pi$
$613$	5.44371	+	1.98135i	0.219869	+	0.0800259i	−0.229737	+	0.973253i	$0.573787\pi$
$614$	−0.160280	−	0.0583370i	−0.00646836	−	0.00235429i
$615$	−9.13548	+	15.8231i	−0.368378	+	0.638050i
$616$	−4.07859	+	23.1308i	−0.164331	+	0.931968i
$617$	29.8565	−	25.0526i	1.20198	−	1.00858i	0.202405	−	0.979302i	$-0.435124\pi$
$617$	29.8565	−	25.0526i	1.20198	−	1.00858i	0.999571	−	0.0292758i	$-0.00932009\pi$
$618$	4.80446	+	8.32156i	0.193264	+	0.334742i
$619$	13.1344	−	22.7495i	0.527917	−	0.914380i	−0.471553	−	0.881838i	$-0.656306\pi$
$619$	13.1344	−	22.7495i	0.527917	−	0.914380i	0.999470	−	0.0325419i	$-0.0103602\pi$
$620$	−1.38969	−	7.88132i	−0.0558112	−	0.316521i
$621$	1.17726	+	2.03908i	0.0472418	+	0.0818253i
$622$	−8.00050	+	2.91194i	−0.320791	+	0.116758i
$623$	27.0016			1.08180
$624$	−3.92205	+	1.42751i	−0.157008	+	0.0571461i
$625$	0.173648	−	0.984808i	0.00694593	−	0.0393923i
$626$	1.22621	+	1.02892i	0.0490093	+	0.0411237i
$627$	−9.17535	+	7.69903i	−0.366428	+	0.307470i
$628$	−5.24863			−0.209443
$629$	23.1961	+	30.6676i	0.924889	+	1.22280i
$630$	14.0973			0.561650
$631$	−9.18612	+	7.70807i	−0.365694	+	0.306853i	−0.807055	−	0.590476i	$-0.798940\pi$
$631$	−9.18612	+	7.70807i	−0.365694	+	0.306853i	0.441362	+	0.897329i	$0.354496\pi$
$632$	−2.83075	−	2.37528i	−0.112601	−	0.0944836i
$633$	0.291437	−	1.65282i	0.0115836	−	0.0656937i
$634$	−2.35418	+	0.856852i	−0.0934965	+	0.0340300i
$635$	−20.8152			−0.826026
$636$	4.85274	−	1.76625i	0.192424	−	0.0700365i
$637$	10.6938	+	18.5221i	0.423702	+	0.733874i
$638$	−6.23552	−	35.3634i	−0.246867	−	1.40005i
$639$	−12.8186	+	22.2024i	−0.507095	+	0.878314i
$640$	−0.500000	−	0.866025i	−0.0197642	−	0.0342327i
$641$	−22.0221	+	18.4787i	−0.869820	+	0.729866i	−0.964060	−	0.265684i	$-0.914402\pi$
$641$	−22.0221	+	18.4787i	−0.869820	+	0.729866i	0.0942401	+	0.995549i	$0.469958\pi$
$642$	−3.70659	+	21.0211i	−0.146287	+	0.829637i
$643$	−2.77785	+	4.81137i	−0.109548	+	0.189742i	−0.915587	−	0.402120i	$-0.868274\pi$
$643$	−2.77785	+	4.81137i	−0.109548	+	0.189742i	0.806039	+	0.591862i	$0.201607\pi$
$644$	−22.7889	−	8.29450i	−0.898010	−	0.326849i
$645$	−5.11165	−	1.86049i	−0.201271	−	0.0732566i
$646$	1.00077	+	5.67567i	0.0393749	+	0.223306i
$647$	−23.2899	−	19.5425i	−0.915620	−	0.768296i	0.0575599	−	0.998342i	$-0.481668\pi$
$647$	−23.2899	−	19.5425i	−0.915620	−	0.768296i	−0.973180	+	0.230046i	$0.926112\pi$
$648$	−6.47243	−	5.43101i	−0.254261	−	0.213350i
$649$	−8.07033	−	45.7691i	−0.316788	−	1.79660i
$650$	1.57850	+	0.574527i	0.0619139	+	0.0225348i
$651$	−83.0020	−	30.2103i	−3.25311	−	1.18403i
$652$	−0.710960	+	1.23142i	−0.0278434	+	0.0482261i
$653$	−2.78397	+	15.7887i	−0.108945	+	0.617858i	0.880626	+	0.473812i	$0.157122\pi$
$653$	−2.78397	+	15.7887i	−0.108945	+	0.617858i	−0.989571	+	0.144046i	$0.953989\pi$
$654$	−3.67420	+	3.08302i	−0.143672	+	0.120555i
$655$	−3.13071	−	5.42254i	−0.122327	−	0.211876i
$656$	3.67674	−	6.36830i	0.143553	−	0.248640i
$657$	4.93439	+	27.9843i	0.192509	+	1.09177i
$658$	−7.65331	−	13.2559i	−0.298357	−	0.516769i
$659$	−10.0365	+	3.65299i	−0.390967	+	0.142300i	−0.530021	−	0.847984i	$-0.677816\pi$
$659$	−10.0365	+	3.65299i	−0.390967	+	0.142300i	0.139054	+	0.990285i	$0.455594\pi$
$660$	13.1378			0.511386
$661$	−29.8658	+	10.8703i	−1.16164	+	0.422804i	−0.849685	−	0.527291i	$-0.823208\pi$
$661$	−29.8658	+	10.8703i	−1.16164	+	0.422804i	−0.311960	+	0.950095i	$0.600985\pi$
$662$	4.80315	−	27.2400i	0.186680	−	1.05871i
$663$	−20.2115	−	16.9595i	−0.784951	−	0.658652i
$664$	−13.4039	+	11.2472i	−0.520171	+	0.436475i
$665$	−4.04981			−0.157045
$666$	−18.8171	−	4.30870i	−0.729148	−	0.166959i
$667$	37.0767			1.43562
$668$	6.35205	−	5.33001i	0.245768	−	0.206224i
$669$	11.7059	+	9.82244i	0.452578	+	0.379758i
$670$	−0.853600	+	4.84101i	−0.0329774	+	0.187024i
$671$	26.0520	−	9.48214i	1.00572	−	0.366054i
$672$	−11.0371			−0.425766
$673$	−15.8206	+	5.75823i	−0.609840	+	0.221964i	−0.628433	−	0.777863i	$-0.716303\pi$
$673$	−15.8206	+	5.75823i	−0.609840	+	0.221964i	0.0185932	+	0.999827i	$0.494081\pi$
$674$	14.4460	+	25.0212i	0.556438	+	0.963780i
$675$	−0.0748896	−	0.424720i	−0.00288250	−	0.0163475i
$676$	5.08913	−	8.81463i	0.195736	−	0.339024i
$677$	17.0293	+	29.4956i	0.654489	+	1.13361i	0.982022	+	0.188768i	$0.0604493\pi$
$677$	17.0293	+	29.4956i	0.654489	+	1.13361i	−0.327533	+	0.944840i	$0.606217\pi$
$678$	35.4481	−	29.7445i	1.36137	−	1.14233i
$679$	−7.34290	+	41.6437i	−0.281795	+	1.59814i
$680$	3.16074	−	5.47456i	0.121209	−	0.209940i
$681$	47.3257	+	17.2252i	1.81353	+	0.660069i
$682$	−39.7636	−	14.4728i	−1.52263	−	0.554191i
$683$	−3.64481	−	20.6707i	−0.139465	−	0.790944i	−0.971646	−	0.236440i	$-0.924019\pi$
$683$	−3.64481	−	20.6707i	−0.139465	−	0.790944i	0.832181	−	0.554503i	$-0.187092\pi$
$684$	−2.21641	−	1.85979i	−0.0847466	−	0.0711108i
$685$	−17.3640	−	14.5701i	−0.663444	−	0.556695i
$686$	4.42156	+	25.0759i	0.168816	+	0.957402i
$687$	39.4775	+	14.3686i	1.50616	+	0.548198i
$688$	2.05728	+	0.748787i	0.0784329	+	0.0285472i
$689$	1.74567	−	3.02359i	0.0665047	−	0.115189i
$690$	−2.35554	+	13.3589i	−0.0896737	+	0.508565i
$691$	12.0591	−	10.1187i	0.458748	−	0.384935i	−0.383922	−	0.923365i	$-0.625427\pi$
$691$	12.0591	−	10.1187i	0.458748	−	0.384935i	0.842670	+	0.538430i	$0.180982\pi$
$692$	3.54848	+	6.14614i	0.134893	+	0.233641i
$693$	37.2699	−	64.5534i	1.41577	−	2.45218i
$694$	0.529510	+	3.00300i	0.0200999	+	0.113992i
$695$	−1.07292	−	1.85835i	−0.0406980	−	0.0704911i
$696$	15.8564	−	5.77125i	0.601035	−	0.218759i
$697$	46.4849			1.76074
$698$	7.67442	−	2.79326i	0.290481	−	0.105726i
$699$	−10.1648	+	57.6474i	−0.384468	+	2.18042i
$700$	3.40284	+	2.85532i	0.128615	+	0.107921i
$701$	−4.40863	+	3.69928i	−0.166512	+	0.139720i	−0.722236	−	0.691647i	$-0.756886\pi$
$701$	−4.40863	+	3.69928i	−0.166512	+	0.139720i	0.555724	+	0.831367i	$0.312441\pi$
$702$	0.724453			0.0273427
$703$	5.40570	+	1.23779i	0.203880	+	0.0466840i
$704$	−5.28753			−0.199281
$705$	−6.55865	+	5.50336i	−0.247013	+	0.207268i
$706$	−18.4785	−	15.5053i	−0.695449	−	0.583551i
$707$	0.802094	−	4.54890i	0.0301659	−	0.171079i
$708$	20.5221	−	7.46945i	0.771269	−	0.280719i
$709$	−28.4200			−1.06734			−0.533668	−	0.845694i	$-0.679187\pi$
$709$	−28.4200			−1.06734			−0.533668	+	0.845694i	$0.679187\pi$
$710$	−7.59114	+	2.76295i	−0.284890	+	0.103692i
$711$	5.86363	+	10.1561i	0.219903	+	0.380883i
$712$	1.05553	+	5.98623i	0.0395578	+	0.224344i
$713$	21.8458	−	37.8381i	0.818133	−	1.41705i
$714$	−34.8854	−	60.4233i	−1.30555	−	2.26129i
$715$	6.80402	−	5.70925i	0.254456	−	0.213514i
$716$	−3.41380	+	19.3606i	−0.127580	+	0.723539i
$717$	−8.21808	+	14.2341i	−0.306910	+	0.531583i
$718$	−2.43805	−	0.887376i	−0.0909871	−	0.0331166i
$719$	15.3773	+	5.59687i	0.573475	+	0.208728i	0.612446	−	0.790512i	$-0.290186\pi$
$719$	15.3773	+	5.59687i	0.573475	+	0.208728i	−0.0389707	+	0.999240i	$0.512408\pi$
$720$	0.551085	+	3.12536i	0.0205377	+	0.116475i
$721$	13.1597	+	11.0423i	0.490094	+	0.411238i
$722$	−13.9181	−	11.6787i	−0.517979	−	0.434636i
$723$	−10.6853	−	60.5991i	−0.397389	−	2.25371i
$724$	−0.00409218	−	0.00148943i	−0.000152085	−	5.53542e-5i
$725$	−6.38169	−	2.32275i	−0.237010	−	0.0862646i
$726$	21.0674	−	36.4899i	0.781886	−	1.35427i
$727$	4.45281	−	25.2532i	0.165146	−	0.936588i	−0.783768	−	0.621053i	$-0.786705\pi$
$727$	4.45281	−	25.2532i	0.165146	−	0.936588i	0.948914	−	0.315534i	$-0.102184\pi$
$728$	−5.71610	+	4.79638i	−0.211853	+	0.177766i
$729$	15.0144	+	26.0056i	0.556087	+	0.963171i
$730$	−4.47698	+	7.75435i	−0.165700	+	0.287001i
$731$	2.40323	+	13.6294i	0.0888866	+	0.504101i
$732$	6.51389	+	11.2824i	0.240760	+	0.417009i
$733$	8.70425	−	3.16809i	0.321499	−	0.117016i	−0.176229	−	0.984349i	$-0.556390\pi$
$733$	8.70425	−	3.16809i	0.321499	−	0.117016i	0.497728	+	0.867333i	$0.334168\pi$
$734$	−14.3862			−0.531006
$735$	29.7273	−	10.8199i	1.09651	−	0.399097i
$736$	0.948029	−	5.37654i	0.0349448	−	0.198182i
$737$	19.9109	+	16.7072i	0.733427	+	0.615419i
$738$	−17.8770	+	15.0006i	−0.658063	+	0.552180i
$739$	1.19168			0.0438368			0.0219184	−	0.999760i	$-0.493023\pi$
$739$	1.19168			0.0438368			0.0219184	+	0.999760i	$0.493023\pi$
$740$	−3.66941	−	4.85133i	−0.134890	−	0.178338i
$741$	−3.80518			−0.139787
$742$	7.07252	−	5.93455i	0.259640	−	0.217864i
$743$	18.5493	+	15.5647i	0.680508	+	0.571014i	0.916155	−	0.400825i	$-0.131276\pi$
$743$	18.5493	+	15.5647i	0.680508	+	0.571014i	−0.235647	+	0.971839i	$0.575721\pi$
$744$	3.45291	−	19.5825i	0.126590	−	0.717928i
$745$	10.5088	−	3.82490i	0.385013	−	0.140133i
$746$	27.3047			0.999696
$747$	52.1808	−	18.9922i	1.90919	−	0.694890i
$748$	−16.7125	−	28.9469i	−0.611069	−	1.05840i
$749$	6.62664	+	37.5815i	0.242132	+	1.37320i
$750$	1.24233	−	2.15179i	0.0453636	−	0.0785721i
$751$	8.62392	+	14.9371i	0.314691	+	0.545062i	0.979372	−	0.202066i	$-0.0647656\pi$
$751$	8.62392	+	14.9371i	0.314691	+	0.545062i	−0.664680	+	0.747128i	$0.731432\pi$
$752$	2.63965	−	2.21493i	0.0962580	−	0.0807701i
$753$	6.29572	−	35.7048i	0.229429	−	1.30115i
$754$	5.70399	−	9.87960i	0.207727	−	0.359794i
$755$	17.5411	+	6.38444i	0.638386	+	0.232354i
$756$	1.80022	+	0.655225i	0.0654732	+	0.0238303i
$757$	1.36552	+	7.74425i	0.0496307	+	0.281469i	0.999515	−	0.0311312i	$-0.00991097\pi$
$757$	1.36552	+	7.74425i	0.0496307	+	0.281469i	−0.949885	+	0.312601i	$0.898800\pi$
$758$	7.71204	+	6.47117i	0.280114	+	0.235044i
$759$	54.9448	+	46.1041i	1.99437	+	1.67347i
$760$	−0.158313	−	0.897840i	−0.00574263	−	0.0325681i
$761$	12.7350	+	4.63517i	0.461644	+	0.168025i	0.562363	−	0.826890i	$-0.309892\pi$
$761$	12.7350	+	4.63517i	0.461644	+	0.168025i	−0.100719	+	0.994915i	$0.532114\pi$
$762$	−48.5998	−	17.6889i	−1.76059	−	0.640801i
$763$	−4.28743	+	7.42605i	−0.155215	+	0.268841i
$764$	−3.39326	+	19.2441i	−0.122764	+	0.696228i
$765$	−15.3681	+	12.8954i	−0.555636	+	0.466234i
$766$	9.06201	+	15.6959i	0.327424	+	0.567115i
$767$	7.38240	−	12.7867i	0.266563	−	0.461700i
$768$	−0.431458	−	2.44692i	−0.0155689	−	0.0882956i
$769$	1.09837	+	1.90243i	0.0396082	+	0.0686035i	0.885150	−	0.465306i	$-0.154056\pi$
$769$	1.09837	+	1.90243i	0.0396082	+	0.0686035i	−0.845542	+	0.533909i	$0.820722\pi$
$770$	22.0712	−	8.03326i	0.795391	−	0.289498i
$771$	−23.5367			−0.847652
$772$	13.1936	−	4.80209i	0.474850	−	0.172831i
$773$	−0.296546	+	1.68179i	−0.0106660	+	0.0604899i	−0.989676	−	0.143321i	$-0.954222\pi$
$773$	−0.296546	+	1.68179i	−0.0106660	+	0.0604899i	0.979010	+	0.203811i	$0.0653329\pi$
$774$	−5.32242	−	4.46604i	−0.191310	−	0.160529i
$775$	−6.13058	+	5.14416i	−0.220217	+	0.184784i
$776$	−9.51941			−0.341727
$777$	−66.6209	+	8.30145i	−2.39001	+	0.297813i
$778$	−31.4903			−1.12898
$779$	5.13564	−	4.30931i	0.184003	−	0.154397i
$780$	3.19728	+	2.68284i	0.114481	+	0.0960611i
$781$	−7.41727	+	42.0654i	−0.265411	+	1.50522i
$782$	32.4306	−	11.8038i	1.15972	−	0.422102i
$783$	−2.92888			−0.104670
$784$	−11.9643	+	4.35465i	−0.427297	+	0.155523i
$785$	2.62431	+	4.54544i	0.0936658	+	0.162234i
$786$	−2.70154	−	15.3212i	−0.0963606	−	0.546488i
$787$	−12.4475	+	21.5597i	−0.443705	+	0.768519i	−0.997961	−	0.0638268i	$-0.979669\pi$
$787$	−12.4475	+	21.5597i	−0.443705	+	0.768519i	0.554256	+	0.832346i	$0.313003\pi$
$788$	7.16383	+	12.4081i	0.255201	+	0.442021i
$789$	7.23558	−	6.07137i	0.257593	−	0.216147i
$790$	−0.641679	+	3.63914i	−0.0228299	+	0.129475i
$791$	41.3645	−	71.6454i	1.47075	−	2.54742i
$792$	15.7684	+	5.73922i	0.560305	+	0.203934i
$793$	8.27650	+	3.01240i	0.293907	+	0.106973i
$794$	−0.981346	−	5.56549i	−0.0348267	−	0.197512i
$795$	−3.95599	−	3.31947i	−0.140304	−	0.117729i
$796$	0.0672752	+	0.0564506i	0.00238451	+	0.00200084i
$797$	4.42175	+	25.0770i	0.156626	+	0.888272i	0.957284	+	0.289150i	$0.0933725\pi$
$797$	4.42175	+	25.0770i	0.156626	+	0.888272i	−0.800658	+	0.599122i	$0.795516\pi$
$798$	−9.45560	−	3.44156i	−0.334725	−	0.121830i
$799$	20.4690	+	7.45010i	0.724140	+	0.263566i
$800$	−0.500000	+	0.866025i	−0.0176777	+	0.0306186i
$801$	3.34982	−	18.9977i	0.118360	−	0.671252i
$802$	−15.1235	+	12.6901i	−0.534028	+	0.448103i
$803$	23.6721	+	41.0013i	0.835372	+	1.44691i
$804$	−6.10692	+	10.5775i	−0.215375	+	0.373040i
$805$	4.21123	+	23.8831i	0.148426	+	0.841767i
$806$	−6.72166	−	11.6422i	−0.236760	−	0.410081i
$807$	7.39539	−	2.69170i	0.260330	−	0.0947524i
$808$	1.03984			0.0365816
$809$	−51.2018	+	18.6359i	−1.80016	+	0.655205i	−0.801823	+	0.597562i	$0.796136\pi$
$809$	−51.2018	+	18.6359i	−1.80016	+	0.655205i	−0.998337	+	0.0576430i	$0.981641\pi$
$810$	−1.46718	+	8.32079i	−0.0515514	+	0.292363i
$811$	10.7095	+	8.98635i	0.376062	+	0.315553i	0.811154	−	0.584833i	$-0.198840\pi$
$811$	10.7095	+	8.98635i	0.376062	+	0.315553i	−0.435092	+	0.900386i	$0.643284\pi$
$812$	23.1095	−	19.3912i	0.810986	−	0.680498i
$813$	−5.20387			−0.182508
$814$	−31.9160	+	3.97696i	−1.11865	+	0.139392i
$815$	1.42192			0.0498077
$816$	12.0321	−	10.0961i	0.421207	−	0.353435i
$817$	1.52900	+	1.28299i	0.0534930	+	0.0448860i
$818$	−5.09860	+	28.9156i	−0.178268	+	1.01101i
$819$	22.2526	−	8.09928i	0.777568	−	0.283012i
$820$	−7.35348			−0.256795
$821$	42.2078	−	15.3624i	1.47306	−	0.536150i	0.524131	−	0.851637i	$-0.324390\pi$
$821$	42.2078	−	15.3624i	1.47306	−	0.536150i	0.948930	+	0.315487i	$0.102168\pi$
$822$	−28.1601	−	48.7747i	−0.982195	−	1.70121i
$823$	−6.52423	−	37.0007i	−0.227420	−	1.28976i	−0.858004	−	0.513643i	$-0.828296\pi$
$823$	−6.52423	−	37.0007i	−0.227420	−	1.28976i	0.630584	−	0.776121i	$-0.282816\pi$
$824$	−1.93364	+	3.34916i	−0.0673616	+	0.116674i
$825$	−6.56888	−	11.3776i	−0.228699	−	0.396118i
$826$	29.9095	−	25.0971i	1.04069	−	0.873239i
$827$	5.10897	−	28.9744i	0.177656	−	1.00754i	−0.757376	−	0.652979i	$-0.773519\pi$
$827$	5.10897	−	28.9744i	0.177656	−	1.00754i	0.935033	−	0.354561i	$-0.115370\pi$
$828$	−8.66303	+	15.0048i	−0.301061	+	0.521453i
$829$	−26.2039	−	9.53743i	−0.910098	−	0.331249i	−0.155806	−	0.987788i	$-0.549797\pi$
$829$	−26.2039	−	9.53743i	−0.910098	−	0.331249i	−0.754292	+	0.656539i	$0.772020\pi$
$830$	16.4423	+	5.98450i	0.570720	+	0.207725i
$831$	4.71901	+	26.7629i	0.163701	+	0.928393i
$832$	−1.28681	−	1.07976i	−0.0446120	−	0.0374339i
$833$	−61.6558	−	51.7354i	−2.13625	−	1.79252i
$834$	−0.925837	−	5.25068i	−0.0320591	−	0.181816i
$835$	−7.79195	−	2.83604i	−0.269651	−	0.0981451i
$836$	−4.52987	−	1.64874i	−0.156669	−	0.0570228i
$837$	−1.72571	+	2.98902i	−0.0596494	+	0.103316i
$838$	4.25756	−	24.1458i	0.147075	−	0.834104i
$839$	−9.14321	+	7.67206i	−0.315659	+	0.264869i	−0.786826	−	0.617175i	$-0.788277\pi$
$839$	−9.14321	+	7.67206i	−0.315659	+	0.264869i	0.471168	+	0.882044i	$0.343833\pi$
$840$	5.51856	+	9.55842i	0.190408	+	0.329797i
$841$	−8.56057	+	14.8273i	−0.295192	+	0.511288i
$842$	−1.53986	−	8.73299i	−0.0530671	−	0.300959i
$843$	−35.6837	−	61.8060i	−1.22901	−	2.12871i
$844$	0.634734	−	0.231024i	0.0218484	−	0.00795218i
$845$	−10.1783			−0.350143
$846$	−10.2761	+	3.74018i	−0.353298	+	0.128590i
$847$	13.0807	−	74.1843i	0.449458	−	2.54900i
$848$	1.59216	+	1.33598i	0.0546750	+	0.0458778i
$849$	−24.2112	+	20.3156i	−0.830928	+	0.697231i
$850$	−6.32147			−0.216825
$851$	1.67847	−	33.1663i	0.0575374	−	1.13693i
$852$	−20.0719			−0.687654
$853$	−10.3052	+	8.64710i	−0.352844	+	0.296071i	−0.801931	−	0.597417i	$-0.796194\pi$
$853$	−10.3052	+	8.64710i	−0.352844	+	0.296071i	0.449087	+	0.893488i	$0.351749\pi$
$854$	17.8420	+	14.9712i	0.610540	+	0.512304i
$855$	−0.502419	+	2.84936i	−0.0171824	+	0.0974461i
$856$	−8.07275	+	2.93824i	−0.275921	+	0.100427i
$857$	1.97378			0.0674229			0.0337115	−	0.999432i	$-0.489267\pi$
$857$	1.97378			0.0674229			0.0337115	+	0.999432i	$0.489267\pi$
$858$	20.7379	−	7.54800i	0.707982	−	0.257684i
$859$	−26.4722	−	45.8513i	−0.903221	−	1.56442i	−0.823288	−	0.567624i	$-0.807863\pi$
$859$	−26.4722	−	45.8513i	−0.903221	−	1.56442i	−0.0799334	−	0.996800i	$-0.525471\pi$
$860$	−0.380169	−	2.15605i	−0.0129637	−	0.0735206i
$861$	−40.5806	+	70.2877i	−1.38298	+	2.39540i
$862$	9.34970	+	16.1942i	0.318452	+	0.551575i
$863$	22.9119	−	19.2253i	0.779929	−	0.654438i	−0.163302	−	0.986576i	$-0.552214\pi$
$863$	22.9119	−	19.2253i	0.779929	−	0.654438i	0.943231	+	0.332138i	$0.107770\pi$
$864$	−0.0748896	+	0.424720i	−0.00254780	+	0.0144493i
$865$	3.54848	−	6.14614i	0.120652	−	0.208975i
$866$	13.1442	+	4.78410i	0.446658	+	0.162570i
$867$	53.6100	+	19.5124i	1.82069	+	0.662677i
$868$	−6.17312	−	35.0095i	−0.209529	−	1.18830i
$869$	14.9677	+	12.5594i	0.507744	+	0.426047i
$870$	−12.9262	−	10.8464i	−0.438241	−	0.367728i
$871$	1.43388	+	8.13195i	0.0485852	+	0.275541i
$872$	−1.81395	−	0.660225i	−0.0614282	−	0.0223580i
$873$	28.3886	+	10.3326i	0.960810	+	0.349706i
$874$	2.48868	−	4.31052i	0.0841808	−	0.145805i
$875$	0.771361	−	4.37460i	0.0260767	−	0.147889i
$876$	−17.0426	+	14.3005i	−0.575818	+	0.483168i
$877$	−25.0893	−	43.4559i	−0.847204	−	1.46740i	−0.883693	−	0.468067i	$-0.844951\pi$
$877$	−25.0893	−	43.4559i	−0.847204	−	1.46740i	0.0364886	−	0.999334i	$-0.488383\pi$
$878$	−6.23289	+	10.7957i	−0.210350	+	0.364337i
$879$	−10.1348	−	57.4772i	−0.341838	−	1.93866i
$880$	2.64376	+	4.57913i	0.0891213	+	0.154363i
$881$	−19.2642	+	7.01160i	−0.649027	+	0.236227i	−0.645492	−	0.763767i	$-0.723348\pi$
$881$	−19.2642	+	7.01160i	−0.649027	+	0.236227i	−0.00353547	+	0.999994i	$0.501125\pi$
$882$	40.4064			1.36055
$883$	−21.0262	+	7.65290i	−0.707587	+	0.257540i	−0.670647	−	0.741777i	$-0.733983\pi$
$883$	−21.0262	+	7.65290i	−0.707587	+	0.257540i	−0.0369400	+	0.999317i	$0.511761\pi$
$884$	1.84394	−	10.4575i	0.0620185	−	0.351724i
$885$	−16.7298	−	14.0380i	−0.562366	−	0.471881i
$886$	−21.1519	+	17.7485i	−0.710610	+	0.596273i
$887$	−36.3415			−1.22023			−0.610114	−	0.792313i	$-0.708876\pi$
$887$	−36.3415			−1.22023			−0.610114	+	0.792313i	$0.708876\pi$
$888$	−4.44474	−	14.4453i	−0.149156	−	0.484752i
$889$	−92.4630			−3.10111
$890$	4.65646	−	3.90724i	0.156085	−	0.130971i
$891$	34.2231	+	28.7166i	1.14652	+	0.962043i
$892$	−1.06796	+	6.05669i	−0.0357579	+	0.202793i
$893$	2.95206	−	1.07446i	0.0987870	−	0.0359555i
$894$	27.7867			0.929325
$895$	18.4737	−	6.72386i	0.617507	−	0.224754i
$896$	−2.22104	−	3.84696i	−0.0741999	−	0.128518i
$897$	3.95684	+	22.4404i	0.132115	+	0.749262i
$898$	8.39030	−	14.5324i	0.279988	−	0.484954i
$899$	27.1749	+	47.0682i	0.906332	+	1.56981i
$900$	2.43110	−	2.03993i	0.0810366	−	0.0679978i
$901$	−2.28150	+	12.9391i	−0.0760079	+	0.431062i
$902$	−19.4409	+	33.6726i	−0.647310	+	1.12117i
$903$	−22.7064	−	8.26445i	−0.755621	−	0.275024i
$904$	17.5007	+	6.36974i	0.582065	+	0.211855i
$905$	0.000756204		0.00428864i	2.51371e−5		0.000142559i
$906$	35.5299	+	29.8131i	1.18040	+	0.990473i
$907$	22.5001	+	18.8798i	0.747102	+	0.626893i	0.934735	−	0.355346i	$-0.115637\pi$
$907$	22.5001	+	18.8798i	0.747102	+	0.626893i	−0.187633	+	0.982239i	$0.560081\pi$
$908$	3.51976	+	19.9616i	0.116807	+	0.662448i
$909$	−3.10100	−	1.12867i	−0.102854	−	0.0374357i
$910$	7.01184	+	2.55210i	0.232440	+	0.0846013i
$911$	11.7623	−	20.3729i	0.389703	−	0.674985i	−0.602707	−	0.797963i	$-0.705911\pi$
$911$	11.7623	−	20.3729i	0.389703	−	0.674985i	0.992409	+	0.122978i	$0.0392444\pi$
$912$	0.393356	−	2.23083i	0.0130253	−	0.0738703i
$913$	70.8733	−	59.4698i	2.34556	−	1.96816i
$914$	−2.73434	−	4.73602i	−0.0904439	−	0.156653i
$915$	6.51389	−	11.2824i	0.215342	−	0.372984i
$916$	2.93607	+	16.6513i	0.0970104	+	0.550173i
$917$	−13.9069	−	24.0874i	−0.459245	−	0.795437i
$918$	−2.56186	+	0.932441i	−0.0845540	+	0.0307751i
$919$	−3.17209			−0.104637			−0.0523187	−	0.998630i	$-0.516661\pi$
$919$	−3.17209			−0.104637			−0.0523187	+	0.998630i	$0.516661\pi$
$920$	−5.13023	+	1.86725i	−0.169139	+	0.0615615i
$921$	−0.0735921	+	0.417362i	−0.00242494	+	0.0137525i
$922$	−6.08465	−	5.10563i	−0.200387	−	0.168145i
$923$	−10.3952	+	8.72263i	−0.342163	+	0.287109i
$924$	58.3591			1.91987
$925$	−2.36667	+	5.60347i	−0.0778156	+	0.184241i
$926$	35.9452			1.18123
$927$	9.40174	−	7.88900i	0.308794	−	0.259109i
$928$	5.20240	+	4.36533i	0.170777	+	0.143299i
$929$	−0.959165	+	5.43969i	−0.0314692	+	0.178471i	−0.996491	−	0.0836985i	$-0.973327\pi$
$929$	−0.959165	+	5.43969i	−0.0314692	+	0.178471i	0.965022	+	0.262169i	$0.0844378\pi$
$930$	−18.6854	+	6.80091i	−0.612717	+	0.223011i
$931$	−11.6078			−0.380430
$932$	−22.1384	+	8.05771i	−0.725167	+	0.263939i
$933$	10.5772	+	18.3202i	0.346281	+	0.599777i
$934$	1.71298	+	9.71479i	0.0560504	+	0.317877i
$935$	−16.7125	+	28.9469i	−0.546557	+	0.946664i
$936$	2.66549	+	4.61677i	0.0871243	+	0.150904i
$937$	−36.5595	+	30.6770i	−1.19435	+	1.00218i	−0.194573	+	0.980888i	$0.562332\pi$
$937$	−36.5595	+	30.6770i	−1.19435	+	1.00218i	−0.999773	+	0.0212874i	$0.993224\pi$
$938$	−3.79177	+	21.5042i	−0.123806	+	0.702136i
$939$	1.98861	−	3.44438i	0.0648959	−	0.112403i
$940$	−3.23801	−	1.17854i	−0.105612	−	0.0384397i
$941$	−6.84550	−	2.49156i	−0.223157	−	0.0812225i	0.228022	−	0.973656i	$-0.426774\pi$
$941$	−6.84550	−	2.49156i	−0.223157	−	0.0812225i	−0.451179	+	0.892433i	$0.648996\pi$
$942$	2.26456	+	12.8430i	0.0737834	+	0.418447i
$943$	−30.7538	−	25.8055i	−1.00148	−	0.840342i
$944$	6.73321	+	5.64984i	0.219147	+	0.183887i
$945$	−0.332666	−	1.88664i	−0.0108216	−	0.0613725i
$946$	−10.8779	−	3.95923i	−0.353671	−	0.128726i
$947$	−8.92307	−	3.24773i	−0.289961	−	0.105537i	0.192945	−	0.981210i	$-0.438196\pi$
$947$	−8.92307	−	3.24773i	−0.289961	−	0.105537i	−0.482905	+	0.875673i	$0.660418\pi$
$948$	−4.59077	+	7.95145i	−0.149101	+	0.258251i
$949$	−2.61182	+	14.8124i	−0.0847834	+	0.480830i
$950$	−0.698396	+	0.586024i	−0.0226590	+	0.0190131i
$951$	3.11238	+	5.39080i	0.100926	+	0.174809i
$952$	14.0403	−	24.3185i	0.455048	−	0.788166i
$953$	−10.0848	−	57.1938i	−0.326679	−	1.85269i	−0.497604	−	0.867405i	$-0.665787\pi$
$953$	−10.0848	−	57.1938i	−0.326679	−	1.85269i	0.170925	−	0.985284i	$-0.445325\pi$
$954$	−3.29800	−	5.71231i	−0.106777	−	0.184943i
$955$	18.3625	−	6.68341i	0.594197	−	0.216270i
$956$	−6.61503			−0.213945
$957$	−83.8411	+	30.5157i	−2.71020	+	0.986431i
$958$	−1.78581	+	10.1278i	−0.0576969	+	0.327215i
$959$	−77.1324	−	64.7217i	−2.49073	−	2.08997i
$960$	−1.90337	+	1.59711i	−0.0614309	+	0.0515466i
$961$	33.0464			1.06601
$962$	−8.57939	−	5.54965i	−0.276611	−	0.178928i
$963$	27.2637			0.878560
$964$	18.9715	−	15.9189i	0.611029	−	0.512715i
$965$	−10.7556	−	9.02498i	−0.346234	−	0.290525i
$966$	−10.4635	+	59.3415i	−0.336658	+	1.90928i
$967$	−33.9993	+	12.3747i	−1.09334	+	0.397944i	−0.824858	−	0.565340i	$-0.808745\pi$
$967$	−33.9993	+	12.3747i	−1.09334	+	0.397944i	−0.268484	+	0.963284i	$0.586523\pi$
$968$	16.9580			0.545049
$969$	13.4561	−	4.89763i	0.432273	−	0.157335i
$970$	4.75971	+	8.24405i	0.152825	+	0.264701i
$971$	−5.99116	−	33.9776i	−0.192266	−	1.09039i	−0.916259	−	0.400585i	$-0.868807\pi$
$971$	−5.99116	−	33.9776i	−0.192266	−	1.09039i	0.723994	−	0.689806i	$-0.242304\pi$
$972$	−11.1436	+	19.3012i	−0.357430	+	0.619088i
$973$	−4.76599	−	8.25494i	−0.152791	−	0.264641i
$974$	14.8328	−	12.4462i	0.475273	−	0.398801i
$975$	0.724765	−	4.11035i	0.0232111	−	0.131637i
$976$	−2.62163	+	4.54080i	−0.0839164	+	0.145347i
$977$	14.5946	+	5.31199i	0.466922	+	0.169946i	0.564757	−	0.825257i	$-0.308970\pi$
$977$	14.5946	+	5.31199i	0.466922	+	0.169946i	−0.0978358	+	0.995203i	$0.531192\pi$
$978$	3.31993	+	1.20836i	0.106160	+	0.0386390i
$979$	−5.58117	−	31.6524i	−0.178375	−	1.01161i
$980$	9.75339	+	8.18407i	0.311561	+	0.261431i
$981$	4.69291	+	3.93782i	0.149833	+	0.125725i
$982$	−3.77323	−	21.3991i	−0.120409	−	0.682872i
$983$	34.1643	+	12.4348i	1.08967	+	0.396608i	0.823499	−	0.567318i	$-0.192019\pi$
$983$	34.1643	+	12.4348i	1.08967	+	0.396608i	0.266172	+	0.963925i	$0.414241\pi$
$984$	−17.1691	−	6.24904i	−0.547331	−	0.199212i
$985$	7.16383	−	12.4081i	0.228259	−	0.395356i
$986$	−7.45484	+	42.2785i	−0.237411	+	1.34642i
$987$	−29.1341	+	24.4464i	−0.927348	+	0.778138i
$988$	−0.765732	−	1.32629i	−0.0243612	−	0.0421948i
$989$	5.97624	−	10.3511i	0.190033	−	0.329147i
$990$	−2.91388	−	16.5254i	−0.0926092	−	0.525213i
$991$	5.99282	+	10.3799i	0.190368	+	0.329727i	0.945372	−	0.325993i	$-0.105699\pi$
$991$	5.99282	+	10.3799i	0.190368	+	0.329727i	−0.755004	+	0.655720i	$0.772365\pi$
$992$	7.52026	−	2.73715i	0.238769	−	0.0869047i
$993$	−68.7264			−2.18097
$994$	−33.7205	+	12.2733i	−1.06955	+	0.389284i
$995$	0.0152501	−	0.0864874i	0.000483459	−	0.00274183i
$996$	33.3041	+	27.9455i	1.05528	+	0.885487i
$997$	9.06740	−	7.60845i	0.287167	−	0.240962i	−0.487812	−	0.872949i	$-0.662205\pi$
$997$	9.06740	−	7.60845i	0.287167	−	0.240962i	0.774979	+	0.631987i	$0.217760\pi$
$998$	−14.3986			−0.455779
$999$	−0.132591	+	2.61997i	−0.00419500	+	0.0828923i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	370.2.o.a.271.1	yes	18
37.34	even	9	inner	370.2.o.a.71.1	✓	18

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.o.a.71.1	✓	18	37.34	even	9	inner
370.2.o.a.271.1	yes	18	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:	\( N \)	\(=\)	\( 370 = 2 \cdot 5 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	370.o (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.766044 - 0.642788i) q^{2} +(-1.90337 - 1.59711i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-0.939693 + 0.342020i) q^{5} -2.48467 q^{6} +(-4.17420 + 1.51928i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(0.551085 + 3.12536i) q^{9} +O(q^{10})\)	\(q+(0.766044 - 0.642788i) q^{2} +(-1.90337 - 1.59711i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-0.939693 + 0.342020i) q^{5} -2.48467 q^{6} +(-4.17420 + 1.51928i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(0.551085 + 3.12536i) q^{9} +(-0.500000 + 0.866025i) q^{10} +(2.64376 + 4.57913i) q^{11} +(-1.90337 + 1.59711i) q^{12} +(-0.291695 + 1.65429i) q^{13} +(-2.22104 + 3.84696i) q^{14} +(2.33482 + 0.849806i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(-1.09771 - 6.22544i) q^{17} +(2.43110 + 2.03993i) q^{18} +(-0.698396 - 0.586024i) q^{19} +(0.173648 + 0.984808i) q^{20} +(10.3715 + 3.77492i) q^{21} +(4.96865 + 1.80844i) q^{22} +(-2.72974 + 4.72805i) q^{23} +(-0.431458 + 2.44692i) q^{24} +(0.766044 - 0.642788i) q^{25} +(0.839903 + 1.45475i) q^{26} +(0.215636 - 0.373493i) q^{27} +(0.771361 + 4.37460i) q^{28} +(-3.39563 - 5.88140i) q^{29} +(2.33482 - 0.849806i) q^{30} -8.00290 q^{31} +(-0.939693 + 0.342020i) q^{32} +(2.28135 - 12.9382i) q^{33} +(-4.84253 - 4.06337i) q^{34} +(3.40284 - 2.85532i) q^{35} +3.17357 q^{36} +(-5.41482 + 2.77124i) q^{37} -0.911691 q^{38} +(3.19728 - 2.68284i) q^{39} +(0.766044 + 0.642788i) q^{40} +(-1.27692 + 7.24177i) q^{41} +(10.3715 - 3.77492i) q^{42} -2.18931 q^{43} +(4.96865 - 1.80844i) q^{44} +(-1.58679 - 2.74840i) q^{45} +(0.948029 + 5.37654i) q^{46} +(-1.72291 + 2.98416i) q^{47} +(1.24233 + 2.15179i) q^{48} +(9.75339 - 8.18407i) q^{49} +(0.173648 - 0.984808i) q^{50} +(-7.85338 + 13.6025i) q^{51} +(1.57850 + 0.574527i) q^{52} +(-1.95307 - 0.710861i) q^{53} +(-0.0748896 - 0.424720i) q^{54} +(-4.05048 - 3.39876i) q^{55} +(3.40284 + 2.85532i) q^{56} +(0.393356 + 2.23083i) q^{57} +(-6.38169 - 2.32275i) q^{58} +(-8.25951 - 3.00622i) q^{59} +(1.24233 - 2.15179i) q^{60} +(0.910483 - 5.16361i) q^{61} +(-6.13058 + 5.14416i) q^{62} +(-7.04865 - 12.2086i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-0.291695 - 1.65429i) q^{65} +(-6.56888 - 11.3776i) q^{66} +(4.61923 - 1.68126i) q^{67} -6.32147 q^{68} +(12.7469 - 4.63950i) q^{69} +(0.771361 - 4.37460i) q^{70} +(6.18835 + 5.19265i) q^{71} +(2.43110 - 2.03993i) q^{72} +8.95395 q^{73} +(-2.36667 + 5.60347i) q^{74} -2.48467 q^{75} +(-0.698396 + 0.586024i) q^{76} +(-17.9926 - 15.0976i) q^{77} +(0.724765 - 4.11035i) q^{78} +(3.47243 - 1.26386i) q^{79} +1.00000 q^{80} +(7.93961 - 2.88978i) q^{81} +(3.67674 + 6.36830i) q^{82} +(-3.03841 - 17.2317i) q^{83} +(5.51856 - 9.55842i) q^{84} +(3.16074 + 5.47456i) q^{85} +(-1.67711 + 1.40726i) q^{86} +(-2.93014 + 16.6177i) q^{87} +(2.64376 - 4.57913i) q^{88} +(-5.71200 - 2.07900i) q^{89} +(-2.98218 - 1.08543i) q^{90} +(-1.29574 - 7.34848i) q^{91} +(4.18220 + 3.50929i) q^{92} +(15.2324 + 12.7815i) q^{93} +(0.598359 + 3.39347i) q^{94} +(0.856709 + 0.311817i) q^{95} +(2.33482 + 0.849806i) q^{96} +(4.75971 - 8.24405i) q^{97} +(2.21091 - 12.5387i) q^{98} +(-12.8545 + 10.7862i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 18 q - 6 q^{6} - 3 q^{7} - 9 q^{8} - 12 q^{9}+O(q^{10}) \) 18 * q - 6 * q^6 - 3 * q^7 - 9 * q^8 - 12 * q^9	\( 18 q - 6 q^{6} - 3 q^{7} - 9 q^{8} - 12 q^{9} - 9 q^{10} + 3 q^{11} + 9 q^{13} - 6 q^{17} + 6 q^{18} + 9 q^{19} - 6 q^{21} + 21 q^{23} + 6 q^{26} + 12 q^{27} - 3 q^{28} + 6 q^{29} - 30 q^{31} - 45 q^{33} - 15 q^{34} + 6 q^{35} + 24 q^{36} + 6 q^{37} - 12 q^{38} + 24 q^{39} + 15 q^{41} - 6 q^{42} - 12 q^{43} - 12 q^{45} + 24 q^{47} + 3 q^{48} + 33 q^{49} - 42 q^{51} - 12 q^{53} + 27 q^{54} + 6 q^{56} + 51 q^{57} - 15 q^{58} - 15 q^{59} + 3 q^{60} + 72 q^{61} - 57 q^{62} - 30 q^{63} - 9 q^{64} + 9 q^{65} - 3 q^{66} + 18 q^{67} + 24 q^{69} - 3 q^{70} + 6 q^{72} - 66 q^{73} - 24 q^{74} - 6 q^{75} + 9 q^{76} - 66 q^{77} + 6 q^{78} - 12 q^{79} + 18 q^{80} + 66 q^{81} + 45 q^{82} + 9 q^{83} + 42 q^{84} + 12 q^{86} + 48 q^{87} + 3 q^{88} + 6 q^{90} - 78 q^{91} + 18 q^{92} + 24 q^{94} - 3 q^{97} - 48 q^{98} - 96 q^{99}+O(q^{100}) \) 18 * q - 6 * q^6 - 3 * q^7 - 9 * q^8 - 12 * q^9 - 9 * q^10 + 3 * q^11 + 9 * q^13 - 6 * q^17 + 6 * q^18 + 9 * q^19 - 6 * q^21 + 21 * q^23 + 6 * q^26 + 12 * q^27 - 3 * q^28 + 6 * q^29 - 30 * q^31 - 45 * q^33 - 15 * q^34 + 6 * q^35 + 24 * q^36 + 6 * q^37 - 12 * q^38 + 24 * q^39 + 15 * q^41 - 6 * q^42 - 12 * q^43 - 12 * q^45 + 24 * q^47 + 3 * q^48 + 33 * q^49 - 42 * q^51 - 12 * q^53 + 27 * q^54 + 6 * q^56 + 51 * q^57 - 15 * q^58 - 15 * q^59 + 3 * q^60 + 72 * q^61 - 57 * q^62 - 30 * q^63 - 9 * q^64 + 9 * q^65 - 3 * q^66 + 18 * q^67 + 24 * q^69 - 3 * q^70 + 6 * q^72 - 66 * q^73 - 24 * q^74 - 6 * q^75 + 9 * q^76 - 66 * q^77 + 6 * q^78 - 12 * q^79 + 18 * q^80 + 66 * q^81 + 45 * q^82 + 9 * q^83 + 42 * q^84 + 12 * q^86 + 48 * q^87 + 3 * q^88 + 6 * q^90 - 78 * q^91 + 18 * q^92 + 24 * q^94 - 3 * q^97 - 48 * q^98 - 96 * q^99

Introduction

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