LMFDB - Embedded newform 430.2.k.b.391.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [430,2,Mod(11,430)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(430, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([0, 10]))

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

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

chi := DirichletCharacter("430.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 430 = 2 \cdot 5 \cdot 43 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	430.k (of order $7$, 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:	$3.43356728692$
Analytic rank:	$0$
Dimension:	$18$
Relative dimension:	$3$ over $\Q(\zeta_{7})$
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} - 5 x^{17} + 17 x^{16} - 43 x^{15} + 90 x^{14} - 114 x^{13} + 135 x^{12} + 2 x^{11} + 313 x^{10} + \cdots + 169 $ x^18 - 5x^17 + 17x^16 - 43x^15 + 90x^14 - 114x^13 + 135x^12 + 2x^11 + 313x^10 - 632x^9 + 2382x^8 - 1755x^7 + 2203x^6 - 3817x^5 + 4882x^4 - 4217x^3 + 2612x^2 - 871*x + 169
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			391.2
Root			$0.163144 - 0.714782i$ of defining polynomial
Character	$\chi$	$=$	430.391
Dual form			430.2.k.b.11.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.623490 - 0.781831i) q^{2} +(0.457120 + 0.573211i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(0.900969 + 0.433884i) q^{5} +0.733164 q^{6} -0.660533 q^{7} +(-0.900969 - 0.433884i) q^{8} +(0.547951 - 2.40073i) q^{9} +O(q^{10})$	\(q+(0.623490 - 0.781831i) q^{2} +(0.457120 + 0.573211i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(0.900969 + 0.433884i) q^{5} +0.733164 q^{6} -0.660533 q^{7} +(-0.900969 - 0.433884i) q^{8} +(0.547951 - 2.40073i) q^{9} +(0.900969 - 0.433884i) q^{10} +(0.533082 - 2.33558i) q^{11} +(0.457120 - 0.573211i) q^{12} +(3.57592 + 1.72207i) q^{13} +(-0.411836 + 0.516426i) q^{14} +(0.163144 + 0.714782i) q^{15} +(-0.900969 + 0.433884i) q^{16} +(5.85348 - 2.81889i) q^{17} +(-1.53533 - 1.92524i) q^{18} +(-0.0968715 - 0.424422i) q^{19} +(0.222521 - 0.974928i) q^{20} +(-0.301943 - 0.378625i) q^{21} +(-1.49366 - 1.87299i) q^{22} +(-0.856226 + 3.75137i) q^{23} +(-0.163144 - 0.714782i) q^{24} +(0.623490 + 0.781831i) q^{25} +(3.57592 - 1.72207i) q^{26} +(3.60828 - 1.73765i) q^{27} +(0.146982 + 0.643972i) q^{28} +(-4.50347 + 5.64717i) q^{29} +(0.660558 + 0.318108i) q^{30} +(-2.99394 + 3.75428i) q^{31} +(-0.222521 + 0.974928i) q^{32} +(1.58246 - 0.762075i) q^{33} +(1.44569 - 6.33398i) q^{34} +(-0.595120 - 0.286595i) q^{35} -2.46247 q^{36} -1.29544 q^{37} +(-0.392224 - 0.188885i) q^{38} +(0.647515 + 2.83695i) q^{39} +(-0.623490 - 0.781831i) q^{40} +(2.21109 - 2.77262i) q^{41} -0.484279 q^{42} +(-5.65497 - 3.31984i) q^{43} -2.39565 q^{44} +(1.53533 - 1.92524i) q^{45} +(2.39909 + 3.00837i) q^{46} +(-1.34648 - 5.89932i) q^{47} +(-0.660558 - 0.318108i) q^{48} -6.56370 q^{49} +1.00000 q^{50} +(4.29156 + 2.06671i) q^{51} +(0.883180 - 3.86946i) q^{52} +(-4.89077 + 2.35527i) q^{53} +(0.891171 - 3.90447i) q^{54} +(1.49366 - 1.87299i) q^{55} +(0.595120 + 0.286595i) q^{56} +(0.199001 - 0.249539i) q^{57} +(1.60727 + 7.04191i) q^{58} +(-8.41770 + 4.05375i) q^{59} +(0.660558 - 0.318108i) q^{60} +(4.20251 + 5.26978i) q^{61} +(1.06852 + 4.68151i) q^{62} +(-0.361940 + 1.58576i) q^{63} +(0.623490 + 0.781831i) q^{64} +(2.47461 + 3.10307i) q^{65} +(0.390836 - 1.71237i) q^{66} +(0.134451 + 0.589069i) q^{67} +(-4.05073 - 5.07946i) q^{68} +(-2.54172 + 1.22403i) q^{69} +(-0.595120 + 0.286595i) q^{70} +(2.10008 + 9.20107i) q^{71} +(-1.53533 + 1.92524i) q^{72} +(-1.89258 - 0.911416i) q^{73} +(-0.807694 + 1.01282i) q^{74} +(-0.163144 + 0.714782i) q^{75} +(-0.392224 + 0.188885i) q^{76} +(-0.352118 + 1.54273i) q^{77} +(2.62174 + 1.26256i) q^{78} -0.302063 q^{79} -1.00000 q^{80} +(-4.01037 - 1.93129i) q^{81} +(-0.789130 - 3.45741i) q^{82} +(-3.10832 - 3.89772i) q^{83} +(-0.301943 + 0.378625i) q^{84} +6.49687 q^{85} +(-6.12137 + 2.35135i) q^{86} -5.29564 q^{87} +(-1.49366 + 1.87299i) q^{88} +(7.38804 + 9.26431i) q^{89} +(-0.547951 - 2.40073i) q^{90} +(-2.36201 - 1.13749i) q^{91} +3.84785 q^{92} -3.52058 q^{93} +(-5.45179 - 2.62544i) q^{94} +(0.0968715 - 0.424422i) q^{95} +(-0.660558 + 0.318108i) q^{96} +(-1.13343 + 4.96589i) q^{97} +(-4.09240 + 5.13170i) q^{98} +(-5.31501 - 2.55957i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 18 q - 3 q^{2} + 2 q^{3} - 3 q^{4} + 3 q^{5} + 2 q^{6} + 6 q^{7} - 3 q^{8} - 7 q^{9}+O(q^{10}) $ 18 * q - 3 * q^2 + 2 * q^3 - 3 * q^4 + 3 * q^5 + 2 * q^6 + 6 * q^7 - 3 * q^8 - 7 * q^9	\( 18 q - 3 q^{2} + 2 q^{3} - 3 q^{4} + 3 q^{5} + 2 q^{6} + 6 q^{7} - 3 q^{8} - 7 q^{9} + 3 q^{10} + 9 q^{11} + 2 q^{12} + 4 q^{13} + 13 q^{14} + 5 q^{15} - 3 q^{16} - q^{17} + 7 q^{18} - 2 q^{19} + 3 q^{20} - 2 q^{21} - 12 q^{22} - 19 q^{23} - 5 q^{24} - 3 q^{25} + 4 q^{26} + 17 q^{27} - q^{28} - 4 q^{29} - 2 q^{30} - 13 q^{31} - 3 q^{32} - 42 q^{33} - 8 q^{34} + 15 q^{35} + 2 q^{37} + 12 q^{38} - 39 q^{39} + 3 q^{40} - 4 q^{41} - 2 q^{42} - 13 q^{43} - 12 q^{44} - 7 q^{45} + 16 q^{46} + 16 q^{47} + 2 q^{48} + 4 q^{49} + 18 q^{50} + 7 q^{51} - 10 q^{52} + 14 q^{53} - 4 q^{54} + 12 q^{55} - 15 q^{56} + 45 q^{57} + 24 q^{58} - 16 q^{59} - 2 q^{60} + 24 q^{61} + 50 q^{62} - 33 q^{63} - 3 q^{64} - 4 q^{65} + 5 q^{67} + 13 q^{68} + 4 q^{69} + 15 q^{70} - 3 q^{71} + 7 q^{72} - 22 q^{73} - 12 q^{74} - 5 q^{75} + 12 q^{76} - 24 q^{77} + 31 q^{78} - 38 q^{79} - 18 q^{80} + 22 q^{81} - 11 q^{82} - 26 q^{83} - 2 q^{84} + 8 q^{85} - 41 q^{86} - 22 q^{87} - 12 q^{88} + 52 q^{89} + 7 q^{90} - 14 q^{91} + 2 q^{92} - 6 q^{93} + 2 q^{94} + 2 q^{95} + 2 q^{96} + 27 q^{97} + 32 q^{98} + 36 q^{99}+O(q^{100}) \) 18 * q - 3 * q^2 + 2 * q^3 - 3 * q^4 + 3 * q^5 + 2 * q^6 + 6 * q^7 - 3 * q^8 - 7 * q^9 + 3 * q^10 + 9 * q^11 + 2 * q^12 + 4 * q^13 + 13 * q^14 + 5 * q^15 - 3 * q^16 - q^17 + 7 * q^18 - 2 * q^19 + 3 * q^20 - 2 * q^21 - 12 * q^22 - 19 * q^23 - 5 * q^24 - 3 * q^25 + 4 * q^26 + 17 * q^27 - q^28 - 4 * q^29 - 2 * q^30 - 13 * q^31 - 3 * q^32 - 42 * q^33 - 8 * q^34 + 15 * q^35 + 2 * q^37 + 12 * q^38 - 39 * q^39 + 3 * q^40 - 4 * q^41 - 2 * q^42 - 13 * q^43 - 12 * q^44 - 7 * q^45 + 16 * q^46 + 16 * q^47 + 2 * q^48 + 4 * q^49 + 18 * q^50 + 7 * q^51 - 10 * q^52 + 14 * q^53 - 4 * q^54 + 12 * q^55 - 15 * q^56 + 45 * q^57 + 24 * q^58 - 16 * q^59 - 2 * q^60 + 24 * q^61 + 50 * q^62 - 33 * q^63 - 3 * q^64 - 4 * q^65 + 5 * q^67 + 13 * q^68 + 4 * q^69 + 15 * q^70 - 3 * q^71 + 7 * q^72 - 22 * q^73 - 12 * q^74 - 5 * q^75 + 12 * q^76 - 24 * q^77 + 31 * q^78 - 38 * q^79 - 18 * q^80 + 22 * q^81 - 11 * q^82 - 26 * q^83 - 2 * q^84 + 8 * q^85 - 41 * q^86 - 22 * q^87 - 12 * q^88 + 52 * q^89 + 7 * q^90 - 14 * q^91 + 2 * q^92 - 6 * q^93 + 2 * q^94 + 2 * q^95 + 2 * q^96 + 27 * q^97 + 32 * q^98 + 36 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/430\mathbb{Z}\right)^\times$.

$n$	$87$	$261$
$\chi(n)$	$1$	$e\left(\frac{2}{7}\right)$

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 $

$2$	0.623490	−	0.781831i	0.440874	−	0.552838i
$2$	0.623490	−	0.781831i	0.440874	−	0.552838i
$3$	0.457120	+	0.573211i	0.263918	+	0.330943i	0.896079	−	0.443894i	$-0.146403\pi$
$3$	0.457120	+	0.573211i	0.263918	+	0.330943i	−0.632161	+	0.774837i	$0.717832\pi$
$4$	−0.222521	−	0.974928i	−0.111260	−	0.487464i
$5$	0.900969	+	0.433884i	0.402926	+	0.194039i
$5$	0.900969	+	0.433884i	0.402926	+	0.194039i
$6$	0.733164			0.299313
$7$	−0.660533			−0.249658			−0.124829	−	0.992178i	$-0.539838\pi$
$7$	−0.660533			−0.249658			−0.124829	+	0.992178i	$0.539838\pi$
$8$	−0.900969	−	0.433884i	−0.318541	−	0.153401i
$9$	0.547951	−	2.40073i	0.182650	−	0.800244i
$10$	0.900969	−	0.433884i	0.284911	−	0.137206i
$11$	0.533082	−	2.33558i	0.160730	−	0.704205i	−0.828760	−	0.559604i	$-0.810953\pi$
$11$	0.533082	−	2.33558i	0.160730	−	0.704205i	0.989490	−	0.144601i	$-0.0461898\pi$
$12$	0.457120	−	0.573211i	0.131959	−	0.165472i
$13$	3.57592	+	1.72207i	0.991782	+	0.477617i	0.858142	−	0.513413i	$-0.171619\pi$
$13$	3.57592	+	1.72207i	0.991782	+	0.477617i	0.133640	+	0.991030i	$0.457333\pi$
$14$	−0.411836	+	0.516426i	−0.110068	+	0.138021i
$15$	0.163144	+	0.714782i	0.0421237	+	0.184556i
$16$	−0.900969	+	0.433884i	−0.225242	+	0.108471i
$17$	5.85348	−	2.81889i	1.41968	−	0.683681i	0.442631	−	0.896704i	$-0.354045\pi$
$17$	5.85348	−	2.81889i	1.41968	−	0.683681i	0.977047	+	0.213023i	$0.0683311\pi$
$18$	−1.53533	−	1.92524i	−0.361880	−	0.453783i
$19$	−0.0968715	−	0.424422i	−0.0222238	−	0.0973690i	0.962600	−	0.270928i	$-0.0873305\pi$
$19$	−0.0968715	−	0.424422i	−0.0222238	−	0.0973690i	−0.984824	+	0.173559i	$0.944473\pi$
$20$	0.222521	−	0.974928i	0.0497572	−	0.218001i
$21$	−0.301943	−	0.378625i	−0.0658894	−	0.0826226i
$22$	−1.49366	−	1.87299i	−0.318450	−	0.399324i
$23$	−0.856226	+	3.75137i	−0.178536	+	0.782215i	0.803772	+	0.594938i	$0.202823\pi$
$23$	−0.856226	+	3.75137i	−0.178536	+	0.782215i	−0.982307	+	0.187277i	$0.940034\pi$
$24$	−0.163144	−	0.714782i	−0.0333017	−	0.145904i
$25$	0.623490	+	0.781831i	0.124698	+	0.156366i
$26$	3.57592	−	1.72207i	0.701296	−	0.337726i
$27$	3.60828	−	1.73765i	0.694413	−	0.334412i
$28$	0.146982	+	0.643972i	0.0277771	+	0.121699i
$29$	−4.50347	+	5.64717i	−0.836273	+	1.04865i	0.161813	+	0.986821i	$0.448266\pi$
$29$	−4.50347	+	5.64717i	−0.836273	+	1.04865i	−0.998087	+	0.0618320i	$0.980306\pi$
$30$	0.660558	+	0.318108i	0.120601	+	0.0580783i
$31$	−2.99394	+	3.75428i	−0.537727	+	0.674289i	−0.974267	−	0.225396i	$-0.927632\pi$
$31$	−2.99394	+	3.75428i	−0.537727	+	0.674289i	0.436540	+	0.899685i	$0.356204\pi$
$32$	−0.222521	+	0.974928i	−0.0393365	+	0.172345i
$33$	1.58246	−	0.762075i	0.275472	−	0.132660i
$34$	1.44569	−	6.33398i	0.247934	−	1.08627i
$35$	−0.595120	−	0.286595i	−0.100594	−	0.0484433i
$36$	−2.46247			−0.410412
$37$	−1.29544			−0.212969			−0.106485	−	0.994314i	$-0.533959\pi$
$37$	−1.29544			−0.212969			−0.106485	+	0.994314i	$0.533959\pi$
$38$	−0.392224	−	0.188885i	−0.0636272	−	0.0306413i
$39$	0.647515	+	2.83695i	0.103685	+	0.454276i
$40$	−0.623490	−	0.781831i	−0.0985824	−	0.123618i
$41$	2.21109	−	2.77262i	0.345315	−	0.433011i	−0.578599	−	0.815612i	$-0.696400\pi$
$41$	2.21109	−	2.77262i	0.345315	−	0.433011i	0.923914	+	0.382601i	$0.124972\pi$
$42$	−0.484279			−0.0747259
$43$	−5.65497	−	3.31984i	−0.862375	−	0.506270i
$43$	−5.65497	−	3.31984i	−0.862375	−	0.506270i
$44$	−2.39565			−0.361158
$45$	1.53533	−	1.92524i	0.228873	−	0.286997i
$46$	2.39909	+	3.00837i	0.353727	+	0.443560i
$47$	−1.34648	−	5.89932i	−0.196404	−	0.860504i	−0.973055	−	0.230572i	$-0.925940\pi$
$47$	−1.34648	−	5.89932i	−0.196404	−	0.860504i	0.776651	−	0.629931i	$-0.216917\pi$
$48$	−0.660558	−	0.318108i	−0.0953433	−	0.0459149i
$49$	−6.56370			−0.937671
$50$	1.00000			0.141421
$51$	4.29156	+	2.06671i	0.600939	+	0.289397i
$52$	0.883180	−	3.86946i	0.122475	−	0.536598i
$53$	−4.89077	+	2.35527i	−0.671799	+	0.323521i	−0.738502	−	0.674251i	$-0.764466\pi$
$53$	−4.89077	+	2.35527i	−0.671799	+	0.323521i	0.0667026	+	0.997773i	$0.478752\pi$
$54$	0.891171	−	3.90447i	0.121273	−	0.531332i
$55$	1.49366	−	1.87299i	0.201405	−	0.252554i
$56$	0.595120	+	0.286595i	0.0795262	+	0.0382978i
$57$	0.199001	−	0.249539i	0.0263583	−	0.0330523i
$58$	1.60727	+	7.04191i	0.211045	+	0.924648i
$59$	−8.41770	+	4.05375i	−1.09589	+	0.527754i	−0.892364	−	0.451316i	$-0.850955\pi$
$59$	−8.41770	+	4.05375i	−1.09589	+	0.527754i	−0.203527	+	0.979069i	$0.565241\pi$
$60$	0.660558	−	0.318108i	0.0852776	−	0.0410675i
$61$	4.20251	+	5.26978i	0.538076	+	0.674726i	0.974337	−	0.225094i	$-0.0722690\pi$
$61$	4.20251	+	5.26978i	0.538076	+	0.674726i	−0.436261	+	0.899820i	$0.643698\pi$
$62$	1.06852	+	4.68151i	0.135703	+	0.594553i
$63$	−0.361940	+	1.58576i	−0.0456002	+	0.199787i
$64$	0.623490	+	0.781831i	0.0779362	+	0.0977289i
$65$	2.47461	+	3.10307i	0.306938	+	0.384888i
$66$	0.390836	−	1.71237i	0.0481086	−	0.210778i
$67$	0.134451	+	0.589069i	0.0164258	+	0.0719663i	0.982477	−	0.186386i	$-0.0596776\pi$
$67$	0.134451	+	0.589069i	0.0164258	+	0.0719663i	−0.966051	+	0.258352i	$0.916820\pi$
$68$	−4.05073	−	5.07946i	−0.491224	−	0.615975i
$69$	−2.54172	+	1.22403i	−0.305988	+	0.147356i
$70$	−0.595120	+	0.286595i	−0.0711304	+	0.0342546i
$71$	2.10008	+	9.20107i	0.249234	+	1.09197i	0.932322	+	0.361630i	$0.117780\pi$
$71$	2.10008	+	9.20107i	0.249234	+	1.09197i	−0.683088	+	0.730336i	$0.739363\pi$
$72$	−1.53533	+	1.92524i	−0.180940	+	0.226891i
$73$	−1.89258	−	0.911416i	−0.221509	−	0.106673i	0.319838	−	0.947472i	$-0.396371\pi$
$73$	−1.89258	−	0.911416i	−0.221509	−	0.106673i	−0.541348	+	0.840799i	$0.682086\pi$
$74$	−0.807694	+	1.01282i	−0.0938926	+	0.117738i
$75$	−0.163144	+	0.714782i	−0.0188383	+	0.0825359i
$76$	−0.392224	+	0.188885i	−0.0449912	+	0.0216666i
$77$	−0.352118	+	1.54273i	−0.0401276	+	0.175811i
$78$	2.62174	+	1.26256i	0.296853	+	0.142957i
$79$	−0.302063			−0.0339848			−0.0169924	−	0.999856i	$-0.505409\pi$
$79$	−0.302063			−0.0339848			−0.0169924	+	0.999856i	$0.505409\pi$
$80$	−1.00000			−0.111803
$81$	−4.01037	−	1.93129i	−0.445597	−	0.214588i
$82$	−0.789130	−	3.45741i	−0.0871449	−	0.381807i
$83$	−3.10832	−	3.89772i	−0.341183	−	0.427830i	0.581406	−	0.813613i	$-0.302503\pi$
$83$	−3.10832	−	3.89772i	−0.341183	−	0.427830i	−0.922589	+	0.385783i	$0.873931\pi$
$84$	−0.301943	+	0.378625i	−0.0329447	+	0.0413113i
$85$	6.49687			0.704685
$86$	−6.12137	+	2.35135i	−0.660084	+	0.253553i
$87$	−5.29564			−0.567753
$88$	−1.49366	+	1.87299i	−0.159225	+	0.199662i
$89$	7.38804	+	9.26431i	0.783131	+	0.982015i	0.999983	+	0.00581078i	$0.00184964\pi$
$89$	7.38804	+	9.26431i	0.783131	+	0.982015i	−0.216852	+	0.976204i	$0.569579\pi$
$90$	−0.547951	−	2.40073i	−0.0577591	−	0.253059i
$91$	−2.36201	−	1.13749i	−0.247606	−	0.119241i
$92$	3.84785			0.401166
$93$	−3.52058			−0.365068
$94$	−5.45179	−	2.62544i	−0.562309	−	0.270794i
$95$	0.0968715	−	0.424422i	0.00993880	−	0.0435447i
$96$	−0.660558	+	0.318108i	−0.0674179	+	0.0324667i
$97$	−1.13343	+	4.96589i	−0.115082	+	0.504209i	0.884227	+	0.467057i	$0.154686\pi$
$97$	−1.13343	+	4.96589i	−0.115082	+	0.504209i	−0.999310	+	0.0371522i	$0.988171\pi$
$98$	−4.09240	+	5.13170i	−0.413395	+	0.518380i
$99$	−5.31501	−	2.55957i	−0.534178	−	0.257247i
$100$	0.623490	−	0.781831i	0.0623490	−	0.0781831i
$101$	−2.39576	−	10.4965i	−0.238387	−	1.04444i	−0.942461	−	0.334316i	$-0.891495\pi$
$101$	−2.39576	−	10.4965i	−0.238387	−	1.04444i	0.704074	−	0.710127i	$-0.251362\pi$
$102$	4.29156	−	2.06671i	0.424928	−	0.204634i
$103$	−7.21615	+	3.47512i	−0.711029	+	0.342413i	−0.754191	−	0.656655i	$-0.771971\pi$
$103$	−7.21615	+	3.47512i	−0.711029	+	0.342413i	0.0431627	+	0.999068i	$0.486257\pi$
$104$	−2.47461	−	3.10307i	−0.242656	−	0.304281i
$105$	−0.107762	−	0.472137i	−0.0105165	−	0.0460759i
$106$	−1.20792	+	5.29225i	−0.117324	+	0.514029i
$107$	7.89261	+	9.89702i	0.763007	+	0.956781i	0.999891	−	0.0147571i	$-0.00469749\pi$
$107$	7.89261	+	9.89702i	0.763007	+	0.956781i	−0.236884	+	0.971538i	$0.576126\pi$
$108$	−2.49701	−	3.13115i	−0.240274	−	0.301295i
$109$	−0.557260	+	2.44152i	−0.0533758	+	0.233855i	−0.994579	−	0.103987i	$-0.966840\pi$
$109$	−0.557260	+	2.44152i	−0.0533758	+	0.233855i	0.941203	+	0.337842i	$0.109697\pi$
$110$	−0.533082	−	2.33558i	−0.0508274	−	0.222689i
$111$	−0.592172	−	0.742560i	−0.0562065	−	0.0704807i
$112$	0.595120	−	0.286595i	0.0562335	−	0.0270806i
$113$	14.2448	−	6.85994i	1.34004	−	0.645329i	0.379946	−	0.925009i	$-0.375943\pi$
$113$	14.2448	−	6.85994i	1.34004	−	0.645329i	0.960093	+	0.279680i	$0.0902284\pi$
$114$	−0.0710226	−	0.311171i	−0.00665188	−	0.0291438i
$115$	−2.39909	+	3.00837i	−0.223717	+	0.280532i
$116$	6.50770	+	3.13394i	0.604225	+	0.290979i
$117$	6.09367	−	7.64122i	0.563360	−	0.706431i
$118$	−2.07900	+	9.10870i	−0.191388	+	0.838524i
$119$	−3.86642	+	1.86197i	−0.354434	+	0.170686i
$120$	0.163144	−	0.714782i	0.0148930	−	0.0652504i
$121$	4.73988	+	2.28261i	0.430898	+	0.207510i
$122$	6.74030			0.610238
$123$	2.60003			0.234437
$124$	4.32637	+	2.08347i	0.388519	+	0.187101i
$125$	0.222521	+	0.974928i	0.0199029	+	0.0872002i
$126$	1.01413	+	1.27168i	0.0903462	+	0.113291i
$127$	7.04430	−	8.83327i	0.625081	−	0.783826i	−0.363969	−	0.931411i	$-0.618579\pi$
$127$	7.04430	−	8.83327i	0.625081	−	0.783826i	0.989049	+	0.147585i	$0.0471500\pi$
$128$	1.00000			0.0883883
$129$	−0.682036	−	4.75905i	−0.0600499	−	0.419011i
$130$	3.96897			0.348102
$131$	−6.89965	+	8.65189i	−0.602826	+	0.755919i	−0.985815	−	0.167833i	$-0.946323\pi$
$131$	−6.89965	+	8.65189i	−0.602826	+	0.755919i	0.382990	+	0.923753i	$0.374894\pi$
$132$	−1.09510	−	1.37321i	−0.0953161	−	0.119523i
$133$	0.0639868	+	0.280345i	0.00554836	+	0.0243090i
$134$	0.544382	+	0.262161i	0.0470274	+	0.0226472i
$135$	4.00489			0.344686
$136$	−6.49687			−0.557102
$137$	9.63619	+	4.64054i	0.823275	+	0.396468i	0.797589	−	0.603202i	$-0.206109\pi$
$137$	9.63619	+	4.64054i	0.823275	+	0.396468i	0.0256864	+	0.999670i	$0.491823\pi$
$138$	−0.627754	+	2.75037i	−0.0534380	+	0.234127i
$139$	−19.8974	+	9.58210i	−1.68768	+	0.812743i	−0.691795	+	0.722094i	$0.743180\pi$
$139$	−19.8974	+	9.58210i	−1.68768	+	0.812743i	−0.995883	+	0.0906492i	$0.971106\pi$
$140$	−0.146982	+	0.643972i	−0.0124223	+	0.0544256i
$141$	2.76605	−	3.46851i	0.232943	−	0.292101i
$142$	8.50307	+	4.09486i	0.713562	+	0.343633i
$143$	5.92831	−	7.43386i	0.495750	−	0.621651i
$144$	0.547951	+	2.40073i	0.0456626	+	0.200061i
$145$	−6.50770	+	3.13394i	−0.540435	+	0.260260i
$146$	−1.89258	+	0.911416i	−0.156631	+	0.0754294i
$147$	−3.00040	−	3.76238i	−0.247469	−	0.310316i
$148$	0.288263	+	1.26296i	0.0236951	+	0.103815i
$149$	−4.24348	+	18.5919i	−0.347640	+	1.52311i	0.434883	+	0.900487i	$0.356790\pi$
$149$	−4.24348	+	18.5919i	−0.347640	+	1.52311i	−0.782523	+	0.622622i	$0.786068\pi$
$150$	0.457120	+	0.573211i	0.0373237	+	0.0468024i
$151$	−8.66787	−	10.8692i	−0.705381	−	0.884520i	0.292031	−	0.956409i	$-0.405669\pi$
$151$	−8.66787	−	10.8692i	−0.705381	−	0.884520i	−0.997413	+	0.0718885i	$0.977097\pi$
$152$	−0.0968715	+	0.424422i	−0.00785731	+	0.0344251i
$153$	−3.55997	−	15.5972i	−0.287807	−	1.26096i
$154$	0.986613	+	1.23717i	0.0795036	+	0.0996943i
$155$	−4.32637	+	2.08347i	−0.347502	+	0.167348i
$156$	2.62174	−	1.26256i	0.209907	−	0.101086i
$157$	−2.04005	−	8.93802i	−0.162813	−	0.713332i	−0.988751	−	0.149570i	$-0.952211\pi$
$157$	−2.04005	−	8.93802i	−0.162813	−	0.713332i	0.825938	−	0.563761i	$-0.190646\pi$
$158$	−0.188333	+	0.236163i	−0.0149830	+	0.0187881i
$159$	−3.58574	−	1.72680i	−0.284367	−	0.136944i
$160$	−0.623490	+	0.781831i	−0.0492912	+	0.0618092i
$161$	0.565566	−	2.47791i	0.0445728	−	0.195286i
$162$	−4.01037	+	1.93129i	−0.315084	+	0.151737i
$163$	−1.32271	+	5.79517i	−0.103603	+	0.453913i	0.896342	+	0.443364i	$0.146215\pi$
$163$	−1.32271	+	5.79517i	−0.103603	+	0.453913i	−0.999944	+	0.0105489i	$0.996642\pi$
$164$	−3.19512	−	1.53869i	−0.249497	−	0.120152i
$165$	1.75640			0.136736
$166$	−4.98537			−0.386939
$167$	18.2334	+	8.78073i	1.41094	+	0.679473i	0.975348	−	0.220670i	$-0.0708245\pi$
$167$	18.2334	+	8.78073i	1.41094	+	0.679473i	0.435593	+	0.900144i	$0.356539\pi$
$168$	0.107762	+	0.472137i	0.00831403	+	0.0364262i
$169$	1.71631	+	2.15219i	0.132024	+	0.165553i
$170$	4.05073	−	5.07946i	0.310677	−	0.389577i
$171$	−1.07200			−0.0819781
$172$	−1.97825	+	6.25192i	−0.150840	+	0.476705i
$173$	18.7232			1.42350			0.711750	−	0.702433i	$-0.247903\pi$
$173$	18.7232			1.42350			0.711750	+	0.702433i	$0.247903\pi$
$174$	−3.30178	+	4.14030i	−0.250307	+	0.313875i
$175$	−0.411836	−	0.516426i	−0.0311319	−	0.0390381i
$176$	0.533082	+	2.33558i	0.0401826	+	0.176051i
$177$	−6.17156	−	2.97206i	−0.463883	−	0.223394i
$178$	11.8495			0.888158
$179$	16.9023			1.26334			0.631669	−	0.775238i	$-0.282370\pi$
$179$	16.9023			1.26334			0.631669	+	0.775238i	$0.282370\pi$
$180$	−2.21861	−	1.06843i	−0.165365	−	0.0796358i
$181$	3.33191	−	14.5981i	0.247659	−	1.08507i	−0.686197	−	0.727416i	$-0.740721\pi$
$181$	3.33191	−	14.5981i	0.247659	−	1.08507i	0.933856	−	0.357650i	$-0.116422\pi$
$182$	−2.36201	+	1.13749i	−0.175084	+	0.0843161i
$183$	−1.09964	+	4.81784i	−0.0812878	+	0.356145i
$184$	2.39909	−	3.00837i	0.176863	−	0.221780i
$185$	−1.16715	−	0.562071i	−0.0858107	−	0.0413243i
$186$	−2.19505	+	2.75250i	−0.160949	+	0.201823i
$187$	−3.46337	−	15.1740i	−0.253266	−	1.10963i
$188$	−5.45179	+	2.62544i	−0.397612	+	0.191480i
$189$	−2.38339	+	1.14778i	−0.173366	+	0.0834886i
$190$	−0.271428	−	0.340360i	−0.0196914	−	0.0246923i
$191$	−0.574552	−	2.51728i	−0.0415732	−	0.182144i	0.949878	−	0.312620i	$-0.101207\pi$
$191$	−0.574552	−	2.51728i	−0.0415732	−	0.182144i	−0.991451	+	0.130476i	$0.958349\pi$
$192$	−0.163144	+	0.714782i	−0.0117739	+	0.0515849i
$193$	−16.2674	−	20.3987i	−1.17095	−	1.46833i	−0.854295	−	0.519788i	$-0.826011\pi$
$193$	−16.2674	−	20.3987i	−1.17095	−	1.46833i	−0.316657	−	0.948540i	$-0.602560\pi$
$194$	3.17580	+	3.98233i	0.228009	+	0.285915i
$195$	−0.647515	+	2.83695i	−0.0463695	+	0.203158i
$196$	1.46056	+	6.39913i	0.104326	+	0.457081i
$197$	−5.93028	−	7.43633i	−0.422515	−	0.529817i	0.524327	−	0.851517i	$-0.324317\pi$
$197$	−5.93028	−	7.43633i	−0.422515	−	0.529817i	−0.946842	+	0.321700i	$0.895746\pi$
$198$	−5.31501	+	2.55957i	−0.377721	+	0.181901i
$199$	−3.53812	+	1.70387i	−0.250811	+	0.120784i	−0.555066	−	0.831807i	$-0.687307\pi$
$199$	−3.53812	+	1.70387i	−0.250811	+	0.120784i	0.304255	+	0.952591i	$0.401593\pi$
$200$	−0.222521	−	0.974928i	−0.0157346	−	0.0689378i
$201$	−0.276200	+	0.346344i	−0.0194817	+	0.0244292i
$202$	−9.70024	−	4.67139i	−0.682507	−	0.328678i
$203$	2.97469	−	3.73014i	0.208782	−	0.261805i
$204$	1.05993	−	4.64385i	0.0742098	−	0.325134i
$205$	3.19512	−	1.53869i	0.223157	−	0.107467i
$206$	−1.78224	+	7.80852i	−0.124175	+	0.544045i
$207$	8.53687	+	4.11114i	0.593353	+	0.285744i
$208$	−3.96897			−0.275199
$209$	−1.04291			−0.0721398
$210$	−0.436320	−	0.210121i	−0.0301090	−	0.0144997i
$211$	−5.20918	−	22.8229i	−0.358615	−	1.57119i	−0.756647	−	0.653823i	$-0.773164\pi$
$211$	−5.20918	−	22.8229i	−0.358615	−	1.57119i	0.398032	−	0.917371i	$-0.369693\pi$
$212$	3.38452	+	4.24405i	0.232450	+	0.291483i
$213$	−4.31416	+	5.40979i	−0.295601	+	0.370672i
$214$	12.6588			0.865335
$215$	−3.65453	−	5.44467i	−0.249237	−	0.371323i
$216$	−4.00489			−0.272498
$217$	1.97760	−	2.47983i	0.134248	−	0.168342i
$218$	1.56141	+	1.95794i	0.105752	+	0.132609i
$219$	−0.342701	−	1.50147i	−0.0231576	−	0.101460i
$220$	−2.15840	−	1.03943i	−0.145520	−	0.0700786i
$221$	25.7859			1.73455
$222$	−0.949771			−0.0637444
$223$	−1.67770	−	0.807938i	−0.112347	−	0.0541035i	0.376866	−	0.926268i	$-0.377002\pi$
$223$	−1.67770	−	0.807938i	−0.112347	−	0.0541035i	−0.489213	+	0.872164i	$0.662716\pi$
$224$	0.146982	−	0.643972i	0.00982068	−	0.0430272i
$225$	2.21861	−	1.06843i	0.147907	−	0.0712284i
$226$	3.51818	−	15.4141i	0.234026	−	1.02533i
$227$	4.43481	−	5.56107i	0.294349	−	0.369101i	−0.612564	−	0.790421i	$-0.709862\pi$
$227$	4.43481	−	5.56107i	0.294349	−	0.369101i	0.906912	+	0.421320i	$0.138433\pi$
$228$	−0.287565	−	0.138484i	−0.0190444	−	0.00917132i
$229$	2.55267	−	3.20094i	0.168685	−	0.211524i	−0.690303	−	0.723521i	$-0.742523\pi$
$229$	2.55267	−	3.20094i	0.168685	−	0.211524i	0.858987	+	0.511997i	$0.171094\pi$
$230$	0.856226	+	3.75137i	0.0564579	+	0.247358i
$231$	−1.04527	+	0.503375i	−0.0687737	+	0.0331197i
$232$	6.50770	−	3.13394i	0.427251	−	0.205753i
$233$	−6.45514	−	8.09449i	−0.422890	−	0.530287i	0.524054	−	0.851685i	$-0.324419\pi$
$233$	−6.45514	−	8.09449i	−0.422890	−	0.530287i	−0.946944	+	0.321397i	$0.895847\pi$
$234$	−2.17480	−	9.52844i	−0.142171	−	0.622894i
$235$	1.34648	−	5.89932i	0.0878347	−	0.384829i
$236$	5.82523	+	7.30461i	0.379190	+	0.475490i
$237$	−0.138079	−	0.173146i	−0.00896921	−	0.0112470i
$238$	−0.954926	+	4.18381i	−0.0618987	+	0.271196i
$239$	0.618358	+	2.70920i	0.0399982	+	0.175244i	0.990982	−	0.133999i	$-0.0427817\pi$
$239$	0.618358	+	2.70920i	0.0399982	+	0.175244i	−0.950983	+	0.309242i	$0.899925\pi$
$240$	−0.457120	−	0.573211i	−0.0295070	−	0.0370006i
$241$	−6.08689	+	2.93129i	−0.392091	+	0.188821i	−0.619533	−	0.784971i	$-0.712678\pi$
$241$	−6.08689	+	2.93129i	−0.392091	+	0.188821i	0.227442	+	0.973792i	$0.426964\pi$
$242$	4.73988	−	2.28261i	0.304691	−	0.146731i
$243$	−3.39970	−	14.8950i	−0.218091	−	0.955518i
$244$	4.20251	−	5.26978i	0.269038	−	0.337363i
$245$	−5.91369	−	2.84788i	−0.377812	−	0.181944i
$246$	1.62109	−	2.03279i	0.103357	−	0.129606i
$247$	0.384480	−	1.68452i	0.0244639	−	0.107183i
$248$	4.32637	−	2.08347i	0.274725	−	0.132300i
$249$	0.813334	−	3.56345i	0.0515429	−	0.225824i
$250$	0.900969	+	0.433884i	0.0569823	+	0.0274412i
$251$	−23.4823			−1.48219			−0.741096	−	0.671399i	$-0.765694\pi$
$251$	−23.4823			−1.48219			−0.741096	+	0.671399i	$0.765694\pi$
$252$	1.62654			0.102463
$253$	8.30521	+	3.99958i	0.522144	+	0.251451i
$254$	−2.51408	−	11.0149i	−0.157748	−	0.691137i
$255$	2.96985	+	3.72408i	0.185979	+	0.233211i
$256$	0.623490	−	0.781831i	0.0389681	−	0.0488645i
$257$	16.9165			1.05522			0.527611	−	0.849486i	$-0.323088\pi$
$257$	16.9165			1.05522			0.527611	+	0.849486i	$0.323088\pi$
$258$	−4.14602	−	2.43398i	−0.258120	−	0.151533i
$259$	0.855682			0.0531695
$260$	2.47461	−	3.10307i	0.153469	−	0.192444i
$261$	11.0897	+	13.9060i	0.686433	+	0.860759i
$262$	2.46246	+	10.7887i	0.152131	+	0.666530i
$263$	−9.93751	−	4.78565i	−0.612773	−	0.295096i	0.101639	−	0.994821i	$-0.467591\pi$
$263$	−9.93751	−	4.78565i	−0.612773	−	0.295096i	−0.714412	+	0.699725i	$0.753306\pi$
$264$	−1.75640			−0.108099
$265$	−5.42835			−0.333461
$266$	0.259077	+	0.124765i	0.0158850	+	0.00764984i
$267$	−1.93318	+	8.46981i	−0.118309	+	0.518344i
$268$	0.544382	−	0.262161i	0.0332534	−	0.0160140i
$269$	4.55096	−	19.9391i	0.277477	−	1.21571i	−0.623495	−	0.781828i	$-0.714288\pi$
$269$	4.55096	−	19.9391i	0.277477	−	1.21571i	0.900972	−	0.433878i	$-0.142855\pi$
$270$	2.49701	−	3.13115i	0.151963	−	0.190555i
$271$	−23.2249	−	11.1845i	−1.41081	−	0.679411i	−0.435489	−	0.900194i	$-0.643425\pi$
$271$	−23.2249	−	11.1845i	−1.41081	−	0.679411i	−0.975323	+	0.220782i	$0.929139\pi$
$272$	−4.05073	+	5.07946i	−0.245612	+	0.307988i
$273$	−0.427705	−	1.87390i	−0.0258859	−	0.113414i
$274$	9.63619	−	4.64054i	0.582143	−	0.280345i
$275$	2.15840	−	1.03943i	0.130157	−	0.0626802i
$276$	1.75893	+	2.20563i	0.105875	+	0.132763i
$277$	5.51464	+	24.1612i	0.331342	+	1.45171i	0.816534	+	0.577298i	$0.195893\pi$
$277$	5.51464	+	24.1612i	0.331342	+	1.45171i	−0.485191	+	0.874408i	$0.661250\pi$
$278$	−4.91426	+	21.5308i	−0.294738	+	1.29133i
$279$	7.37249	+	9.24481i	0.441379	+	0.553472i
$280$	0.411836	+	0.516426i	0.0246119	+	0.0308623i
$281$	0.878017	−	3.84684i	0.0523781	−	0.229483i	−0.941963	−	0.335716i	$-0.891022\pi$
$281$	0.878017	−	3.84684i	0.0523781	−	0.229483i	0.994341	+	0.106233i	$0.0338789\pi$
$282$	−0.987191	−	4.32516i	−0.0587863	−	0.257560i
$283$	15.7271	+	19.7212i	0.934881	+	1.17230i	0.984825	+	0.173552i	$0.0555243\pi$
$283$	15.7271	+	19.7212i	0.934881	+	1.17230i	−0.0499439	+	0.998752i	$0.515904\pi$
$284$	8.50307	−	4.09486i	0.504564	−	0.242985i
$285$	0.287565	−	0.138484i	0.0170339	−	0.00820308i
$286$	−2.11579	−	9.26987i	−0.125109	−	0.548139i
$287$	−1.46050	+	1.83141i	−0.0862106	+	0.108105i
$288$	2.21861	+	1.06843i	0.130733	+	0.0629576i
$289$	15.7178	−	19.7095i	0.924575	−	1.15938i
$290$	−1.60727	+	7.04191i	−0.0943821	+	0.413515i
$291$	−3.36461	+	1.62031i	−0.197237	+	0.0949844i
$292$	−0.467428	+	2.04793i	−0.0273541	+	0.119846i
$293$	19.7425	+	9.50747i	1.15337	+	0.555432i	0.910043	−	0.414513i	$-0.136048\pi$
$293$	19.7425	+	9.50747i	1.15337	+	0.555432i	0.243323	+	0.969945i	$0.421762\pi$
$294$	−4.81226			−0.280657
$295$	−9.34295			−0.543967
$296$	1.16715	+	0.562071i	0.0678393	+	0.0326697i
$297$	−2.13493	−	9.35375i	−0.123881	−	0.542760i
$298$	11.8900	+	14.9096i	0.688768	+	0.863687i
$299$	−9.52194	+	11.9401i	−0.550668	+	0.690516i
$300$	0.733164			0.0423292
$301$	3.73530	+	2.19286i	0.215299	+	0.126394i
$302$	−13.9022			−0.799981
$303$	4.92156	−	6.17145i	0.282736	−	0.354540i
$304$	0.271428	+	0.340360i	0.0155675	+	0.0195210i
$305$	1.49986	+	6.57130i	0.0858816	+	0.376272i
$306$	−14.4140	−	6.94143i	−0.823995	−	0.396815i
$307$	5.67622			0.323959			0.161980	−	0.986794i	$-0.448212\pi$
$307$	5.67622			0.323959			0.161980	+	0.986794i	$0.448212\pi$
$308$	1.58241			0.0901659
$309$	−5.29062	−	2.54783i	−0.300973	−	0.144941i
$310$	−1.06852	+	4.68151i	−0.0606881	+	0.265892i
$311$	−0.521998	+	0.251381i	−0.0295998	+	0.0142545i	−0.448625	−	0.893720i	$-0.648086\pi$
$311$	−0.521998	+	0.251381i	−0.0295998	+	0.0142545i	0.419025	+	0.907975i	$0.362372\pi$
$312$	0.647515	−	2.83695i	0.0366583	−	0.160611i
$313$	−0.933148	+	1.17013i	−0.0527447	+	0.0661397i	−0.807504	−	0.589862i	$-0.799182\pi$
$313$	−0.933148	+	1.17013i	−0.0527447	+	0.0661397i	0.754759	+	0.656002i	$0.227754\pi$
$314$	−8.25997	−	3.97779i	−0.466137	−	0.224480i
$315$	−1.01413	+	1.27168i	−0.0571399	+	0.0716512i
$316$	0.0672154	+	0.294490i	0.00378116	+	0.0165664i
$317$	−6.10982	+	2.94233i	−0.343162	+	0.165258i	−0.597524	−	0.801851i	$-0.703849\pi$
$317$	−6.10982	+	2.94233i	−0.343162	+	0.165258i	0.254362	+	0.967109i	$0.418134\pi$
$318$	−3.58574	+	1.72680i	−0.201078	+	0.0968341i
$319$	10.7887	+	13.5286i	0.604053	+	0.757458i
$320$	0.222521	+	0.974928i	0.0124393	+	0.0545001i
$321$	−2.06520	+	9.04825i	−0.115268	+	0.505024i
$322$	−1.58468	−	1.98713i	−0.0883108	−	0.110738i
$323$	−1.76343	−	2.21127i	−0.0981200	−	0.123039i
$324$	−0.990480	+	4.33958i	−0.0550267	+	0.241088i
$325$	0.883180	+	3.86946i	0.0489900	+	0.214639i
$326$	3.70615	+	4.64737i	0.205265	+	0.257394i
$327$	−1.65424	+	0.796639i	−0.0914795	+	0.0440542i
$328$	−3.19512	+	1.53869i	−0.176421	+	0.0849600i
$329$	0.889395	+	3.89669i	0.0490339	+	0.214832i
$330$	1.09510	−	1.37321i	0.0602832	−	0.0755928i
$331$	−14.6870	−	7.07287i	−0.807269	−	0.388760i	−0.0157281	−	0.999876i	$-0.505007\pi$
$331$	−14.6870	−	7.07287i	−0.807269	−	0.388760i	−0.791541	+	0.611116i	$0.790721\pi$
$332$	−3.10832	+	3.89772i	−0.170591	+	0.213915i
$333$	−0.709839	+	3.11001i	−0.0388989	+	0.170427i
$334$	18.2334	−	8.78073i	0.997686	−	0.480460i
$335$	−0.134451	+	0.589069i	−0.00734586	+	0.0321843i
$336$	0.436320	+	0.210121i	0.0238032	+	0.0114630i
$337$	−35.1386			−1.91412			−0.957060	−	0.289891i	$-0.906381\pi$
$337$	−35.1386			−1.91412			−0.957060	+	0.289891i	$0.906381\pi$
$338$	2.75275			0.149730
$339$	10.4438	+	5.02946i	0.567228	+	0.273163i
$340$	−1.44569	−	6.33398i	−0.0784036	−	0.343508i
$341$	7.17243	+	8.99394i	0.388409	+	0.487049i
$342$	−0.668383	+	0.838126i	−0.0361420	+	0.0453207i
$343$	8.95927			0.483755
$344$	3.65453	+	5.44467i	0.197039	+	0.293557i
$345$	−2.82110			−0.151883
$346$	11.6737	−	14.6384i	0.627584	−	0.786965i
$347$	11.1159	+	13.9390i	0.596735	+	0.748282i	0.984865	−	0.173322i	$-0.0554502\pi$
$347$	11.1159	+	13.9390i	0.596735	+	0.748282i	−0.388130	+	0.921605i	$0.626879\pi$
$348$	1.17839	+	5.16287i	0.0631684	+	0.276759i
$349$	17.2906	+	8.32672i	0.925546	+	0.445719i	0.835048	−	0.550177i	$-0.185440\pi$
$349$	17.2906	+	8.32672i	0.925546	+	0.445719i	0.0904978	+	0.995897i	$0.471154\pi$
$350$	−0.660533			−0.0353070
$351$	15.8953			0.848428
$352$	2.15840	+	1.03943i	0.115043	+	0.0554020i
$353$	3.24080	−	14.1989i	0.172491	−	0.755730i	−0.812477	−	0.582993i	$-0.801882\pi$
$353$	3.24080	−	14.1989i	0.172491	−	0.755730i	0.984968	−	0.172738i	$-0.0552613\pi$
$354$	−6.17156	+	2.97206i	−0.328015	+	0.157963i
$355$	−2.10008	+	9.20107i	−0.111461	+	0.488342i
$356$	7.38804	−	9.26431i	0.391566	−	0.491008i
$357$	−2.83472	−	1.36513i	−0.150029	−	0.0722502i
$358$	10.5384	−	13.2148i	0.556973	−	0.698422i
$359$	4.79419	+	21.0047i	0.253028	+	1.10859i	0.928539	+	0.371236i	$0.121066\pi$
$359$	4.79419	+	21.0047i	0.253028	+	1.10859i	−0.675511	+	0.737350i	$0.736077\pi$
$360$	−2.21861	+	1.06843i	−0.116931	+	0.0563110i
$361$	16.9477	−	8.16156i	0.891982	−	0.429556i
$362$	−9.33582	−	11.7067i	−0.490680	−	0.615293i
$363$	0.858281	+	3.76037i	0.0450481	+	0.197368i
$364$	−0.583369	+	2.55591i	−0.0305769	+	0.133966i
$365$	−1.30970	−	1.64232i	−0.0685530	−	0.0859627i
$366$	3.08113	+	3.86361i	0.161053	+	0.201954i
$367$	1.10334	−	4.83407i	0.0575941	−	0.252336i	−0.937932	−	0.346818i	$-0.887262\pi$
$367$	1.10334	−	4.83407i	0.0575941	−	0.252336i	0.995527	+	0.0944815i	$0.0301193\pi$
$368$	−0.856226	−	3.75137i	−0.0446339	−	0.195554i
$369$	−5.44475	−	6.82751i	−0.283443	−	0.355426i
$370$	−1.16715	+	0.562071i	−0.0606774	+	0.0292207i
$371$	3.23052	−	1.55574i	0.167720	−	0.0807697i
$372$	0.783404	+	3.43232i	0.0406176	+	0.177957i
$373$	−7.39420	+	9.27204i	−0.382857	+	0.480088i	−0.935498	−	0.353332i	$-0.885049\pi$
$373$	−7.39420	+	9.27204i	−0.382857	+	0.480088i	0.552641	+	0.833420i	$0.313620\pi$
$374$	−14.0229	−	6.75306i	−0.725106	−	0.349193i
$375$	−0.457120	+	0.573211i	−0.0236056	+	0.0296005i
$376$	−1.34648	+	5.89932i	−0.0694394	+	0.304234i
$377$	−25.8289	+	12.4385i	−1.33026	+	0.640617i
$378$	−0.588648	+	2.57904i	−0.0302768	+	0.132651i
$379$	−11.9846	−	5.77147i	−0.615607	−	0.296461i	0.0999745	−	0.994990i	$-0.468124\pi$
$379$	−11.9846	−	5.77147i	−0.615607	−	0.296461i	−0.715581	+	0.698529i	$0.753838\pi$
$380$	−0.435336			−0.0223323
$381$	8.28342			0.424372
$382$	−2.32632	−	1.12029i	−0.119025	−	0.0573193i
$383$	−1.61826	−	7.09006i	−0.0826892	−	0.362285i	0.916607	−	0.399789i	$-0.130917\pi$
$383$	−1.61826	−	7.09006i	−0.0826892	−	0.362285i	−0.999296	+	0.0375037i	$0.988059\pi$
$384$	0.457120	+	0.573211i	0.0233273	+	0.0292515i
$385$	−0.986613	+	1.23717i	−0.0502825	+	0.0630522i
$386$	−26.0909			−1.32799
$387$	−11.0687	+	11.7570i	−0.562653	+	0.597640i
$388$	5.09359			0.258588
$389$	4.95046	−	6.20768i	0.250998	−	0.314742i	−0.640330	−	0.768100i	$-0.721203\pi$
$389$	4.95046	−	6.20768i	0.250998	−	0.314742i	0.891329	+	0.453358i	$0.149774\pi$
$390$	1.81430	+	2.27506i	0.0918705	+	0.115202i
$391$	5.56279	+	24.3722i	0.281323	+	1.23255i
$392$	5.91369	+	2.84788i	0.298686	+	0.143840i
$393$	−8.11333			−0.409263
$394$	−9.51143			−0.479179
$395$	−0.272150	−	0.131060i	−0.0136933	−	0.00659436i
$396$	−1.31270	+	5.75131i	−0.0659656	+	0.289014i
$397$	−23.6351	+	11.3821i	−1.18621	+	0.571250i	−0.919716	−	0.392585i	$-0.871581\pi$
$397$	−23.6351	+	11.3821i	−1.18621	+	0.571250i	−0.266498	+	0.963835i	$0.585867\pi$
$398$	−0.873844	+	3.82856i	−0.0438018	+	0.191908i
$399$	−0.131447	+	0.164829i	−0.00658057	+	0.00825177i
$400$	−0.900969	−	0.433884i	−0.0450484	−	0.0216942i
$401$	3.50112	−	4.39027i	0.174838	−	0.219240i	−0.686690	−	0.726951i	$-0.740937\pi$
$401$	3.50112	−	4.39027i	0.174838	−	0.219240i	0.861527	+	0.507711i	$0.169508\pi$
$402$	0.0985748	+	0.431884i	0.00491646	+	0.0215404i
$403$	−17.1712	+	8.26923i	−0.855360	+	0.411920i
$404$	−9.70024	+	4.67139i	−0.482605	+	0.232410i
$405$	−2.77526	−	3.48007i	−0.137904	−	0.172926i
$406$	−1.06165	−	4.65141i	−0.0526890	−	0.230846i
$407$	−0.690576	+	3.02561i	−0.0342306	+	0.149974i
$408$	−2.96985	−	3.72408i	−0.147030	−	0.184369i
$409$	−7.83143	−	9.82031i	−0.387239	−	0.485583i	0.549558	−	0.835456i	$-0.314796\pi$
$409$	−7.83143	−	9.82031i	−0.387239	−	0.485583i	−0.936797	+	0.349873i	$0.886225\pi$
$410$	0.789130	−	3.45741i	0.0389724	−	0.170749i
$411$	1.74489	+	7.64485i	0.0860689	+	0.377093i
$412$	4.99373	+	6.26194i	0.246024	+	0.308504i
$413$	5.56017	−	2.67764i	0.273598	−	0.131758i
$414$	8.53687	−	4.11114i	0.419564	−	0.202051i
$415$	−1.10935	−	4.86037i	−0.0544558	−	0.238586i
$416$	−2.47461	+	3.10307i	−0.121328	+	0.152140i
$417$	−14.5881	−	7.02525i	−0.714381	−	0.344028i
$418$	−0.650246	+	0.815382i	−0.0318045	+	0.0398816i
$419$	−4.18374	+	18.3302i	−0.204389	+	0.895487i	0.763837	+	0.645410i	$0.223313\pi$
$419$	−4.18374	+	18.3302i	−0.204389	+	0.895487i	−0.968226	+	0.250078i	$0.919544\pi$
$420$	−0.436320	+	0.210121i	−0.0212902	+	0.0102528i
$421$	3.85905	−	16.9076i	0.188078	−	0.824026i	−0.789550	−	0.613686i	$-0.789686\pi$
$421$	3.85905	−	16.9076i	0.188078	−	0.824026i	0.977628	−	0.210339i	$-0.0674569\pi$
$422$	−21.0916	−	10.1572i	−1.02672	−	0.494443i
$423$	−14.9005			−0.724486
$424$	5.42835			0.263624
$425$	5.85348	+	2.81889i	0.283936	+	0.136736i
$426$	1.53971	+	6.74589i	0.0745990	+	0.326840i
$427$	−2.77589	−	3.48086i	−0.134335	−	0.168451i
$428$	7.89261	−	9.89702i	0.381504	−	0.478390i
$429$	6.97112			0.336569
$430$	−6.53538	−	0.537469i	−0.315164	−	0.0259190i
$431$	−18.4428			−0.888361			−0.444180	−	0.895937i	$-0.646505\pi$
$431$	−18.4428			−0.888361			−0.444180	+	0.895937i	$0.646505\pi$
$432$	−2.49701	+	3.13115i	−0.120137	+	0.150647i
$433$	2.25183	+	2.82371i	0.108216	+	0.135699i	0.832990	−	0.553288i	$-0.186627\pi$
$433$	2.25183	+	2.82371i	0.108216	+	0.135699i	−0.724774	+	0.688987i	$0.758056\pi$
$434$	−0.705796	−	3.09229i	−0.0338793	−	0.148435i
$435$	−4.77121	−	2.29769i	−0.228762	−	0.110166i
$436$	2.50430			0.119934
$437$	1.67511			0.0801313
$438$	−1.38757	−	0.668217i	−0.0663006	−	0.0319287i
$439$	3.80039	−	16.6506i	0.181383	−	0.794690i	−0.799590	−	0.600546i	$-0.794950\pi$
$439$	3.80039	−	16.6506i	0.181383	−	0.794690i	0.980973	−	0.194144i	$-0.0621930\pi$
$440$	−2.15840	+	1.03943i	−0.102898	+	0.0495530i
$441$	−3.59659	+	15.7577i	−0.171266	+	0.750365i
$442$	16.0773	−	20.1602i	0.764717	−	0.958925i
$443$	26.4597	+	12.7423i	1.25714	+	0.605407i	0.939417	−	0.342777i	$-0.111367\pi$
$443$	26.4597	+	12.7423i	1.25714	+	0.605407i	0.317723	+	0.948184i	$0.397082\pi$
$444$	−0.592172	+	0.742560i	−0.0281033	+	0.0352404i
$445$	2.63676	+	11.5524i	0.124995	+	0.547637i
$446$	−1.67770	+	0.807938i	−0.0794414	+	0.0382570i
$447$	−12.5969	+	6.06633i	−0.595811	+	0.286927i
$448$	−0.411836	−	0.516426i	−0.0194574	−	0.0243988i
$449$	−0.288905	−	1.26578i	−0.0136343	−	0.0597357i	0.967653	−	0.252284i	$-0.0811818\pi$
$449$	−0.288905	−	1.26578i	−0.0136343	−	0.0597357i	−0.981287	+	0.192549i	$0.938325\pi$
$450$	0.547951	−	2.40073i	0.0258307	−	0.113172i
$451$	−5.29700	−	6.64223i	−0.249426	−	0.312771i
$452$	−9.85771	−	12.3612i	−0.463668	−	0.581421i
$453$	2.26806	−	9.93703i	0.106563	−	0.466882i
$454$	−1.58276	−	6.93455i	−0.0742828	−	0.325454i
$455$	−1.63456	−	2.04968i	−0.0766296	−	0.0960905i
$456$	−0.287565	+	0.138484i	−0.0134665	+	0.00648510i
$457$	−25.4270	+	12.2450i	−1.18942	+	0.572797i	−0.920643	−	0.390405i	$-0.872335\pi$
$457$	−25.4270	+	12.2450i	−1.18942	+	0.572797i	−0.268781	+	0.963201i	$0.586621\pi$
$458$	−0.911036	−	3.99151i	−0.0425699	−	0.186511i
$459$	16.2227	−	20.3427i	0.757212	−	0.949514i
$460$	3.46679	+	1.66952i	0.161640	+	0.0778417i
$461$	−16.6962	+	20.9364i	−0.777621	+	0.975106i	0.222379	+	0.974960i	$0.428618\pi$
$461$	−16.6962	+	20.9364i	−0.777621	+	0.975106i	−1.00000		0.000145406i	$0.999954\pi$
$462$	−0.258160	+	1.13107i	−0.0120107	+	0.0526223i
$463$	5.94913	−	2.86495i	0.276480	−	0.133146i	−0.290506	−	0.956873i	$-0.593824\pi$
$463$	5.94913	−	2.86495i	0.276480	−	0.133146i	0.566986	+	0.823727i	$0.308109\pi$
$464$	1.60727	−	7.04191i	0.0746156	−	0.326912i
$465$	−3.17194	−	1.52752i	−0.147095	−	0.0708372i
$466$	−10.3532			−0.479604
$467$	−11.9363			−0.552346			−0.276173	−	0.961108i	$-0.589066\pi$
$467$	−11.9363			−0.552346			−0.276173	+	0.961108i	$0.589066\pi$
$468$	−8.80560	−	4.24055i	−0.407039	−	0.196020i
$469$	−0.0888095	−	0.389100i	−0.00410084	−	0.0179670i
$470$	−3.77275	−	4.73088i	−0.174024	−	0.218219i
$471$	4.19082	−	5.25513i	0.193103	−	0.242143i
$472$	9.34295			0.430044
$473$	−10.7683	+	11.4379i	−0.495128	+	0.525916i
$474$	−0.221462			−0.0101721
$475$	0.271428	−	0.340360i	0.0124540	−	0.0156168i
$476$	2.67564	+	3.35515i	0.122638	+	0.153783i
$477$	2.97447	+	13.0320i	0.136192	+	0.596695i
$478$	2.50368	+	1.20571i	0.114516	+	0.0551478i
$479$	32.2295			1.47260			0.736302	−	0.676653i	$-0.236570\pi$
$479$	32.2295			1.47260			0.736302	+	0.676653i	$0.236570\pi$
$480$	−0.733164			−0.0334642
$481$	−4.63240	−	2.23084i	−0.211219	−	0.101718i
$482$	−1.50334	+	6.58655i	−0.0684751	+	0.300009i
$483$	1.67889	−	0.808512i	0.0763923	−	0.0367886i
$484$	1.17065	−	5.12897i	0.0532115	−	0.233135i
$485$	−3.17580	+	3.98233i	−0.144206	+	0.180828i
$486$	−13.7651	−	6.62892i	−0.624397	−	0.300694i
$487$	17.1369	−	21.4890i	0.776549	−	0.973761i	−0.223451	−	0.974715i	$-0.571732\pi$
$487$	17.1369	−	21.4890i	0.776549	−	0.973761i	1.00000		0.000953896i	$0.000303634\pi$
$488$	−1.49986	−	6.57130i	−0.0678953	−	0.297469i
$489$	−3.92649	+	1.89090i	−0.177562	+	0.0855093i
$490$	−5.91369	+	2.84788i	−0.267153	+	0.128654i
$491$	21.2771	+	26.6806i	0.960221	+	1.20408i	0.978918	+	0.204254i	$0.0654770\pi$
$491$	21.2771	+	26.6806i	0.960221	+	1.20408i	−0.0186963	+	0.999825i	$0.505952\pi$
$492$	−0.578562	−	2.53484i	−0.0260836	−	0.114280i
$493$	−10.4422	+	45.7504i	−0.470294	+	2.06049i
$494$	−1.07729	−	1.35088i	−0.0484696	−	0.0607789i
$495$	−3.67810	−	4.61219i	−0.165318	−	0.207303i
$496$	1.06852	−	4.68151i	0.0479782	−	0.210206i
$497$	−1.38718	−	6.07761i	−0.0622233	−	0.272618i
$498$	−2.27891	−	2.85766i	−0.102120	−	0.128055i
$499$	5.69096	−	2.74062i	0.254763	−	0.122687i	−0.302144	−	0.953262i	$-0.597702\pi$
$499$	5.69096	−	2.74062i	0.254763	−	0.122687i	0.556907	+	0.830575i	$0.311988\pi$
$500$	0.900969	−	0.433884i	0.0402926	−	0.0194039i
$501$	3.30164	+	14.4654i	0.147506	+	0.646267i
$502$	−14.6410	+	18.3592i	−0.653460	+	0.819413i
$503$	−30.8378	−	14.8507i	−1.37499	−	0.662160i	−0.407064	−	0.913400i	$-0.633447\pi$
$503$	−30.8378	−	14.8507i	−1.37499	−	0.662160i	−0.967925	+	0.251240i	$0.919162\pi$
$504$	1.01413	−	1.27168i	0.0451731	−	0.0566453i
$505$	2.39576	−	10.4965i	0.106610	−	0.467089i
$506$	8.30521	−	3.99958i	0.369212	−	0.177803i
$507$	−0.449095	+	1.96762i	−0.0199450	+	0.0873849i
$508$	−10.1793	−	4.90210i	−0.451634	−	0.217495i
$509$	−21.8402			−0.968049			−0.484025	−	0.875054i	$-0.660825\pi$
$509$	−21.8402			−0.968049			−0.484025	+	0.875054i	$0.660825\pi$
$510$	4.76327			0.210921
$511$	1.25011	+	0.602021i	0.0553016	+	0.0266318i
$512$	−0.222521	−	0.974928i	−0.00983413	−	0.0430861i
$513$	−1.08704	−	1.36310i	−0.0479939	−	0.0601824i
$514$	10.5473	−	13.2259i	0.465220	−	0.583367i
$515$	−8.00933			−0.352933
$516$	−4.48797	+	1.72392i	−0.197572	+	0.0758916i
$517$	−14.4961			−0.637539
$518$	0.533509	−	0.668999i	0.0234410	−	0.0293941i
$519$	8.55876	+	10.7323i	0.375688	+	0.471098i
$520$	−0.883180	−	3.86946i	−0.0387300	−	0.169687i
$521$	11.3765	+	5.47862i	0.498413	+	0.240023i	0.666162	−	0.745807i	$-0.267936\pi$
$521$	11.3765	+	5.47862i	0.498413	+	0.240023i	−0.167750	+	0.985830i	$0.553650\pi$
$522$	17.7864			0.778491
$523$	28.1325			1.23015			0.615073	−	0.788470i	$-0.289126\pi$
$523$	28.1325			1.23015			0.615073	+	0.788470i	$0.289126\pi$
$524$	9.97029	+	4.80144i	0.435554	+	0.209752i
$525$	0.107762	−	0.472137i	0.00470313	−	0.0206058i
$526$	−9.93751	+	4.78565i	−0.433296	+	0.208664i
$527$	−6.94207	+	30.4152i	−0.302401	+	1.32491i
$528$	−1.09510	+	1.37321i	−0.0476581	+	0.0597613i
$529$	7.38261	+	3.55528i	0.320983	+	0.154577i
$530$	−3.38452	+	4.24405i	−0.147014	+	0.184350i
$531$	5.11948	+	22.4299i	0.222167	+	0.973375i
$532$	0.259077	−	0.124765i	0.0112324	−	0.00540925i
$533$	12.6814	−	6.10702i	0.549291	−	0.264524i
$534$	5.41665	+	6.79226i	0.234401	+	0.293930i
$535$	2.81684	+	12.3414i	0.121783	+	0.533564i
$536$	0.134451	−	0.589069i	0.00580741	−	0.0254439i
$537$	7.72639	+	9.68859i	0.333418	+	0.418093i
$538$	−12.7515	−	15.9899i	−0.549756	−	0.689373i
$539$	−3.49899	+	15.3301i	−0.150712	+	0.660313i
$540$	−0.891171	−	3.90447i	−0.0383499	−	0.168022i
$541$	6.20222	+	7.77734i	0.266654	+	0.334374i	0.897074	−	0.441881i	$-0.145689\pi$
$541$	6.20222	+	7.77734i	0.266654	+	0.334374i	−0.630420	+	0.776255i	$0.717117\pi$
$542$	−23.2249	+	11.1845i	−0.997595	+	0.480416i
$543$	9.89085	−	4.76318i	0.424457	−	0.204408i
$544$	1.44569	+	6.33398i	0.0619835	+	0.271567i
$545$	−1.56141	+	1.95794i	−0.0668834	+	0.0838691i
$546$	−1.73174	−	0.833964i	−0.0741118	−	0.0356904i
$547$	17.2575	−	21.6402i	0.737878	−	0.925269i	−0.261323	−	0.965251i	$-0.584159\pi$
$547$	17.2575	−	21.6402i	0.737878	−	0.925269i	0.999200	+	0.0399822i	$0.0127301\pi$
$548$	2.37994	−	10.4272i	0.101666	−	0.445428i
$549$	14.9541	−	7.20151i	0.638225	−	0.307353i
$550$	0.533082	−	2.33558i	0.0227307	−	0.0995897i
$551$	2.83304	+	1.36432i	0.120692	+	0.0581220i
$552$	2.82110			0.120074
$553$	0.199523			0.00848457
$554$	22.3283	+	10.7527i	0.948639	+	0.456840i
$555$	−0.211344	−	0.925958i	−0.00897105	−	0.0393047i
$556$	13.7694	+	17.2663i	0.583955	+	0.732256i
$557$	−3.32241	+	4.16617i	−0.140775	+	0.176526i	−0.847221	−	0.531241i	$-0.821726\pi$
$557$	−3.32241	+	4.16617i	−0.140775	+	0.176526i	0.706446	+	0.707767i	$0.250297\pi$
$558$	11.8246			0.500573
$559$	−14.5047	−	21.6097i	−0.613485	−	0.913995i
$560$	0.660533			0.0279126
$561$	7.11472	−	8.92158i	0.300384	−	0.376669i
$562$	−2.46015	−	3.08493i	−0.103775	−	0.130130i
$563$	−9.26295	−	40.5837i	−0.390387	−	1.71040i	−0.663296	−	0.748357i	$-0.730843\pi$
$563$	−9.26295	−	40.5837i	−0.390387	−	1.71040i	0.272909	−	0.962040i	$-0.412014\pi$
$564$	−3.99705	−	1.92488i	−0.168306	−	0.0810520i
$565$	15.8105			0.665155
$566$	25.2244			1.06026
$567$	2.64898	+	1.27568i	0.111247	+	0.0535736i
$568$	2.10008	−	9.20107i	0.0881176	−	0.386068i
$569$	−31.3763	+	15.1100i	−1.31536	+	0.633446i	−0.954232	−	0.299069i	$-0.903324\pi$
$569$	−31.3763	+	15.1100i	−1.31536	+	0.633446i	−0.361132	+	0.932515i	$0.617610\pi$
$570$	0.0710226	−	0.311171i	0.00297481	−	0.0130335i
$571$	12.6133	−	15.8166i	0.527851	−	0.661905i	−0.444404	−	0.895826i	$-0.646585\pi$
$571$	12.6133	−	15.8166i	0.527851	−	0.661905i	0.972255	+	0.233922i	$0.0751560\pi$
$572$	−8.56665	−	4.12548i	−0.358190	−	0.172495i
$573$	1.18029	−	1.48004i	0.0493074	−	0.0618295i
$574$	0.521247	+	2.28373i	0.0217564	+	0.0953211i
$575$	−3.46679	+	1.66952i	−0.144575	+	0.0696237i
$576$	2.21861	−	1.06843i	0.0924421	−	0.0445178i
$577$	−1.42455	−	1.78633i	−0.0593049	−	0.0743661i	0.751294	−	0.659967i	$-0.229430\pi$
$577$	−1.42455	−	1.78633i	−0.0593049	−	0.0743661i	−0.810599	+	0.585601i	$0.800858\pi$
$578$	−5.60961	−	24.5773i	−0.233329	−	1.02228i
$579$	4.25658	−	18.6493i	0.176897	−	0.775038i
$580$	4.50347	+	5.64717i	0.186996	+	0.234486i
$581$	2.05315	+	2.57457i	0.0851791	+	0.106811i
$582$	−0.830991	+	3.64081i	−0.0344457	+	0.150916i
$583$	2.89375	+	12.6784i	0.119847	+	0.525084i
$584$	1.30970	+	1.64232i	0.0541959	+	0.0679595i
$585$	8.80560	−	4.24055i	0.364067	−	0.175325i
$586$	19.7425	−	9.50747i	0.815553	−	0.392750i
$587$	2.93538	+	12.8607i	0.121156	+	0.530820i	0.998684	+	0.0512934i	$0.0163344\pi$
$587$	2.93538	+	12.8607i	0.121156	+	0.530820i	−0.877527	+	0.479526i	$0.840808\pi$
$588$	−3.00040	+	3.76238i	−0.123734	+	0.155158i
$589$	1.88343	+	0.907010i	0.0776052	+	0.0373727i
$590$	−5.82523	+	7.30461i	−0.239821	+	0.300726i
$591$	1.55174	−	6.79860i	0.0638299	−	0.279657i
$592$	1.16715	−	0.562071i	0.0479697	−	0.0231010i
$593$	5.52169	−	24.1921i	0.226749	−	0.993451i	−0.725522	−	0.688198i	$-0.758402\pi$
$593$	5.52169	−	24.1921i	0.226749	−	0.993451i	0.952271	−	0.305253i	$-0.0987410\pi$
$594$	−8.64416	−	4.16281i	−0.354674	−	0.170802i
$595$	−4.29140			−0.175930
$596$	19.0700			0.781139
$597$	−2.59402	−	1.24922i	−0.106166	−	0.0511270i
$598$	3.39834	+	14.8891i	0.138968	+	0.608861i
$599$	−21.9260	−	27.4944i	−0.895873	−	1.12339i	−0.991774	−	0.127998i	$-0.959145\pi$
$599$	−21.9260	−	27.4944i	−0.895873	−	1.12339i	0.0959013	−	0.995391i	$-0.469427\pi$
$600$	0.457120	−	0.573211i	0.0186619	−	0.0234012i
$601$	1.17963			0.0481180			0.0240590	−	0.999711i	$-0.492341\pi$
$601$	1.17963			0.0481180			0.0240590	+	0.999711i	$0.492341\pi$
$602$	4.04337	−	1.55314i	0.164795	−	0.0633015i
$603$	1.48787			0.0605908
$604$	−8.66787	+	10.8692i	−0.352691	+	0.442260i
$605$	3.28010	+	4.11311i	0.133355	+	0.167222i
$606$	−1.75649	−	7.69567i	−0.0713524	−	0.312615i
$607$	4.30523	+	2.07329i	0.174744	+	0.0841521i	0.519211	−	0.854646i	$-0.326226\pi$
$607$	4.30523	+	2.07329i	0.174744	+	0.0841521i	−0.344467	+	0.938798i	$0.611940\pi$
$608$	0.435336			0.0176552
$609$	3.49795			0.141744
$610$	6.07280	+	2.92451i	0.245880	+	0.118410i
$611$	5.34414	−	23.4142i	0.216201	−	0.947238i
$612$	−14.4140	+	6.94143i	−0.582652	+	0.280591i
$613$	−3.63876	+	15.9424i	−0.146968	+	0.643909i	0.846749	+	0.531992i	$0.178556\pi$
$613$	−3.63876	+	15.9424i	−0.146968	+	0.643909i	−0.993718	+	0.111917i	$0.964301\pi$
$614$	3.53907	−	4.43785i	0.142825	−	0.179097i
$615$	2.34255	+	1.12811i	0.0944607	+	0.0454899i
$616$	0.986613	−	1.23717i	0.0397518	−	0.0498472i
$617$	−8.54485	−	37.4374i	−0.344003	−	1.50717i	−0.790541	−	0.612409i	$-0.790200\pi$
$617$	−8.54485	−	37.4374i	−0.344003	−	1.50717i	0.446538	−	0.894765i	$-0.352657\pi$
$618$	−5.29062	+	2.54783i	−0.212820	+	0.102489i
$619$	17.3770	−	8.36834i	0.698442	−	0.336352i	−0.0507440	−	0.998712i	$-0.516159\pi$
$619$	17.3770	−	8.36834i	0.698442	−	0.336352i	0.749186	+	0.662360i	$0.230445\pi$
$620$	2.99394	+	3.75428i	0.120240	+	0.150776i
$621$	3.42909	+	15.0238i	0.137605	+	0.602885i
$622$	−0.128923	+	0.564848i	−0.00516933	+	0.0226483i
$623$	−4.88005	−	6.11939i	−0.195515	−	0.245168i
$624$	−1.81430	−	2.27506i	−0.0726300	−	0.0910752i
$625$	−0.222521	+	0.974928i	−0.00890084	+	0.0389971i
$626$	0.333037	+	1.45913i	0.0133108	+	0.0583185i
$627$	−0.476736	−	0.597809i	−0.0190390	−	0.0238742i
$628$	−8.25997	+	3.97779i	−0.329609	+	0.158731i
$629$	−7.58284	+	3.65170i	−0.302348	+	0.145603i
$630$	0.361940	+	1.58576i	0.0144200	+	0.0631783i
$631$	7.30846	−	9.16452i	0.290945	−	0.364834i	−0.614780	−	0.788698i	$-0.710755\pi$
$631$	7.30846	−	9.16452i	0.290945	−	0.364834i	0.905726	+	0.423865i	$0.139327\pi$
$632$	0.272150	+	0.131060i	0.0108255	+	0.00521330i
$633$	10.7011	−	13.4188i	0.425331	−	0.533348i
$634$	−1.50900	+	6.61137i	−0.0599301	+	0.262571i
$635$	10.1793	−	4.90210i	0.403954	−	0.194534i
$636$	−0.885604	+	3.88008i	−0.0351165	+	0.153855i
$637$	−23.4713	−	11.3032i	−0.929965	−	0.447848i
$638$	17.3038			0.685063
$639$	23.2400			0.919362
$640$	0.900969	+	0.433884i	0.0356139	+	0.0171508i
$641$	−6.60688	−	28.9466i	−0.260956	−	1.14332i	−0.920217	−	0.391409i	$-0.871988\pi$
$641$	−6.60688	−	28.9466i	−0.260956	−	1.14332i	0.659261	−	0.751914i	$-0.270869\pi$
$642$	5.78658	+	7.25614i	0.228378	+	0.286377i
$643$	8.34516	−	10.4645i	0.329101	−	0.412680i	−0.589561	−	0.807724i	$-0.700699\pi$
$643$	8.34516	−	10.4645i	0.329101	−	0.412680i	0.918662	+	0.395044i	$0.129271\pi$
$644$	−2.54163			−0.100154
$645$	1.45038	−	4.58368i	0.0571087	−	0.180482i
$646$	−2.82833			−0.111279
$647$	21.1226	−	26.4869i	0.830415	−	1.04131i	−0.168042	−	0.985780i	$-0.553744\pi$
$647$	21.1226	−	26.4869i	0.830415	−	1.04131i	0.998457	−	0.0555280i	$-0.0176842\pi$
$648$	2.77526	+	3.48007i	0.109023	+	0.136710i
$649$	4.98056	+	21.8212i	0.195504	+	0.856559i
$650$	3.57592	+	1.72207i	0.140259	+	0.0675453i
$651$	2.32546			0.0911421
$652$	5.94420			0.232793
$653$	11.9550	+	5.75720i	0.467833	+	0.225297i	0.652922	−	0.757425i	$-0.273543\pi$
$653$	11.9550	+	5.75720i	0.467833	+	0.225297i	−0.185089	+	0.982722i	$0.559257\pi$
$654$	−0.408563	+	1.79003i	−0.0159761	+	0.0699957i
$655$	−9.97029	+	4.80144i	−0.389571	+	0.187608i
$656$	−0.789130	+	3.45741i	−0.0308104	+	0.134989i
$657$	−3.22511	+	4.04415i	−0.125823	+	0.157777i
$658$	3.60109	+	1.73419i	0.140385	+	0.0676058i
$659$	19.0801	−	23.9256i	0.743253	−	0.932010i	−0.256147	−	0.966638i	$-0.582453\pi$
$659$	19.0801	−	23.9256i	0.743253	−	0.932010i	0.999400	+	0.0346275i	$0.0110245\pi$
$660$	−0.390836	−	1.71237i	−0.0152133	−	0.0666538i
$661$	5.42662	−	2.61332i	0.211071	−	0.101647i	−0.325361	−	0.945590i	$-0.605486\pi$
$661$	5.42662	−	2.61332i	0.211071	−	0.101647i	0.536432	+	0.843943i	$0.319772\pi$
$662$	−14.6870	+	7.07287i	−0.570825	+	0.274895i
$663$	11.7873	+	14.7808i	0.457779	+	0.574037i
$664$	1.10935	+	4.86037i	0.0430511	+	0.188619i
$665$	−0.0639868	+	0.280345i	−0.00248130	+	0.0108713i
$666$	1.98892	+	2.49403i	0.0770692	+	0.0966418i
$667$	−17.3287	−	21.7294i	−0.670968	−	0.841368i
$668$	4.50327	−	19.7301i	0.174237	−	0.763382i
$669$	−0.303792	−	1.33100i	−0.0117453	−	0.0514594i
$670$	0.376724	+	0.472397i	0.0145541	+	0.0182503i
$671$	14.5483	−	7.00609i	0.561630	−	0.270467i
$672$	0.436320	−	0.210121i	0.0168314	−	0.00810558i
$673$	4.82474	+	21.1386i	0.185980	+	0.814832i	0.978708	+	0.205256i	$0.0658028\pi$
$673$	4.82474	+	21.1386i	0.185980	+	0.814832i	−0.792728	+	0.609575i	$0.791340\pi$
$674$	−21.9085	+	27.4724i	−0.843885	+	1.05820i
$675$	3.60828	+	1.73765i	0.138883	+	0.0668824i
$676$	1.71631	−	2.15219i	0.0660120	−	0.0827764i
$677$	−7.37644	+	32.3183i	−0.283500	+	1.24209i	0.609773	+	0.792576i	$0.291261\pi$
$677$	−7.37644	+	32.3183i	−0.283500	+	1.24209i	−0.893272	+	0.449516i	$0.851596\pi$
$678$	10.4438	−	5.02946i	0.401091	−	0.193155i
$679$	0.748669	−	3.28013i	0.0287313	−	0.125880i
$680$	−5.85348	−	2.81889i	−0.224471	−	0.108099i
$681$	5.21491			0.199836
$682$	11.5037			0.440499
$683$	22.9995	+	11.0760i	0.880052	+	0.423811i	0.818644	−	0.574302i	$-0.194726\pi$
$683$	22.9995	+	11.0760i	0.880052	+	0.423811i	0.0614085	+	0.998113i	$0.480441\pi$
$684$	0.238543	+	1.04513i	0.00912092	+	0.0399614i
$685$	6.66845	+	8.36197i	0.254788	+	0.319494i
$686$	5.58601	−	7.00464i	0.213275	−	0.267438i
$687$	3.00169			0.114522
$688$	6.53538	+	0.537469i	0.249159	+	0.0204908i
$689$	−21.5450			−0.820798
$690$	−1.75893	+	2.20563i	−0.0669612	+	0.0839667i
$691$	−21.1467	−	26.5171i	−0.804457	−	1.00876i	−0.999608	−	0.0279838i	$-0.991091\pi$
$691$	−21.1467	−	26.5171i	−0.804457	−	1.00876i	0.195152	−	0.980773i	$-0.437480\pi$
$692$	−4.16631	−	18.2538i	−0.158379	−	0.693905i
$693$	3.51074	+	1.69068i	0.133362	+	0.0642237i
$694$	17.8286			0.676764
$695$	−22.0845			−0.837712
$696$	4.77121	+	2.29769i	0.180852	+	0.0870939i
$697$	5.12688	−	22.4623i	0.194194	−	0.850821i
$698$	17.2906	−	8.32672i	0.654460	−	0.315171i
$699$	1.68907	−	7.40031i	0.0638866	−	0.279905i
$700$	−0.411836	+	0.516426i	−0.0155659	+	0.0195191i
$701$	13.5520	+	6.52631i	0.511853	+	0.246495i	0.671937	−	0.740608i	$-0.265462\pi$
$701$	13.5520	+	6.52631i	0.511853	+	0.246495i	−0.160084	+	0.987103i	$0.551177\pi$
$702$	9.91055	−	12.4274i	0.374050	−	0.469043i
$703$	0.125491	+	0.549813i	0.00473299	+	0.0207366i
$704$	2.15840	−	1.03943i	0.0813479	−	0.0391751i
$705$	3.99705	−	1.92488i	0.150538	−	0.0724952i
$706$	−9.08053	−	11.3866i	−0.341750	−	0.428541i
$707$	1.58248	+	6.93330i	0.0595153	+	0.260754i
$708$	−1.52425	+	6.67817i	−0.0572848	+	0.250981i
$709$	−11.9716	−	15.0119i	−0.449602	−	0.563783i	0.504443	−	0.863445i	$-0.331698\pi$
$709$	−11.9716	−	15.0119i	−0.449602	−	0.563783i	−0.954046	+	0.299661i	$0.903126\pi$
$710$	5.88431	+	7.37869i	0.220834	+	0.276917i
$711$	−0.165516	+	0.725173i	−0.00620733	+	0.0271961i
$712$	−2.63676	−	11.5524i	−0.0988168	−	0.432945i
$713$	−11.5202	−	14.4459i	−0.431436	−	0.541003i
$714$	−2.83472	+	1.36513i	−0.106087	+	0.0510886i
$715$	8.56665	−	4.12548i	0.320375	−	0.154284i
$716$	−3.76112	−	16.4785i	−0.140560	−	0.615832i
$717$	−1.27028	+	1.59288i	−0.0474395	+	0.0594872i
$718$	19.4113	+	9.34797i	0.724422	+	0.348863i
$719$	28.9613	−	36.3163i	1.08007	−	1.35437i	0.149294	−	0.988793i	$-0.452300\pi$
$719$	28.9613	−	36.3163i	1.08007	−	1.35437i	0.930781	−	0.365578i	$-0.119129\pi$
$720$	−0.547951	+	2.40073i	−0.0204209	+	0.0894700i
$721$	4.76651	−	2.29543i	0.177514	−	0.0854863i
$722$	4.18573	−	18.3389i	0.155777	−	0.682502i
$723$	−4.46269	−	2.14912i	−0.165969	−	0.0799265i
$724$	−14.9735			−0.556485
$725$	−7.22300			−0.268256
$726$	3.47511	+	1.67352i	0.128973	+	0.0621103i
$727$	4.41014	+	19.3221i	0.163563	+	0.716616i	0.988479	+	0.151360i	$0.0483654\pi$
$727$	4.41014	+	19.3221i	0.163563	+	0.716616i	−0.824916	+	0.565256i	$0.808777\pi$
$728$	1.63456	+	2.04968i	0.0605810	+	0.0759662i
$729$	−1.34186	+	1.68264i	−0.0496986	+	0.0623200i
$730$	−2.10060			−0.0777467
$731$	−42.4595	−	3.49187i	−1.57042	−	0.129151i
$732$	4.94174			0.182652
$733$	−17.1470	+	21.5016i	−0.633339	+	0.794181i	−0.990152	−	0.139994i	$-0.955292\pi$
$733$	−17.1470	+	21.5016i	−0.633339	+	0.794181i	0.356814	+	0.934176i	$0.383863\pi$
$734$	−3.09150	−	3.87662i	−0.114109	−	0.143089i
$735$	−1.07083	−	4.69161i	−0.0394981	−	0.173053i
$736$	−3.46679	−	1.66952i	−0.127788	−	0.0615392i
$737$	1.44749			0.0533192
$738$	−8.73271			−0.321455
$739$	47.7206	+	22.9810i	1.75543	+	0.845370i	0.975655	+	0.219310i	$0.0703806\pi$
$739$	47.7206	+	22.9810i	1.75543	+	0.845370i	0.779775	+	0.626060i	$0.215334\pi$
$740$	−0.288263	+	1.26296i	−0.0105968	+	0.0464274i
$741$	1.14134	−	0.549639i	0.0419281	−	0.0201915i
$742$	0.797872	−	3.49571i	0.0292908	−	0.128331i
$743$	29.7966	−	37.3637i	1.09313	−	1.37074i	0.170364	−	0.985381i	$-0.445506\pi$
$743$	29.7966	−	37.3637i	1.09313	−	1.37074i	0.922766	−	0.385360i	$-0.125923\pi$
$744$	3.17194	+	1.52752i	0.116289	+	0.0560018i
$745$	−11.8900	+	14.9096i	−0.435615	+	0.546244i
$746$	2.63896	+	11.5620i	0.0966192	+	0.423316i
$747$	−11.0606	+	5.32649i	−0.404685	+	0.194886i
$748$	−14.0229	+	6.75306i	−0.512727	+	0.246916i
$749$	−5.21333	−	6.53731i	−0.190491	−	0.238868i
$750$	0.163144	+	0.714782i	0.00595719	+	0.0261001i
$751$	−5.34540	+	23.4197i	−0.195056	+	0.854597i	0.778771	+	0.627308i	$0.215843\pi$
$751$	−5.34540	+	23.4197i	−0.195056	+	0.854597i	−0.973827	+	0.227289i	$0.927014\pi$
$752$	3.77275	+	4.73088i	0.137578	+	0.172518i
$753$	−10.7343	−	13.4603i	−0.391178	−	0.490522i
$754$	−6.37921	+	27.9491i	−0.232317	+	1.01785i
$755$	−3.09353	−	13.5536i	−0.112585	−	0.493267i
$756$	1.64935	+	2.06823i	0.0599865	+	0.0752206i
$757$	20.1910	−	9.72345i	0.733853	−	0.353405i	−0.0293453	−	0.999569i	$-0.509342\pi$
$757$	20.1910	−	9.72345i	0.733853	−	0.353405i	0.763198	+	0.646164i	$0.223628\pi$
$758$	−11.9846	+	5.77147i	−0.435300	+	0.209629i
$759$	1.50388	+	6.58892i	0.0545873	+	0.239163i
$760$	−0.271428	+	0.340360i	−0.00984572	+	0.0123461i
$761$	−33.1099	−	15.9449i	−1.20023	−	0.578002i	−0.276490	−	0.961017i	$-0.589171\pi$
$761$	−33.1099	−	15.9449i	−1.20023	−	0.578002i	−0.923742	+	0.383015i	$0.874886\pi$
$762$	5.16463	−	6.47624i	0.187095	−	0.234609i
$763$	0.368089	−	1.61270i	0.0133257	−	0.0583837i
$764$	−2.32632	+	1.12029i	−0.0841631	+	0.0405308i
$765$	3.55997	−	15.5972i	0.128711	−	0.563920i
$766$	−6.55220	−	3.15537i	−0.236741	−	0.114008i
$767$	−37.0819			−1.33895
$768$	0.733164			0.0264558
$769$	−13.6849	−	6.59032i	−0.493492	−	0.237653i	0.170549	−	0.985349i	$-0.445446\pi$
$769$	−13.6849	−	6.59032i	−0.493492	−	0.237653i	−0.664041	+	0.747696i	$0.731160\pi$
$770$	0.352118	+	1.54273i	0.0126895	+	0.0555962i
$771$	7.73287	+	9.69672i	0.278493	+	0.349219i
$772$	−16.2674	+	20.3987i	−0.585476	+	0.734164i
$773$	−33.8831			−1.21869			−0.609346	−	0.792905i	$-0.708568\pi$
$773$	−33.8831			−1.21869			−0.609346	+	0.792905i	$0.708568\pi$
$774$	2.29075	+	15.9842i	0.0823393	+	0.574540i
$775$	−4.80191			−0.172490
$776$	3.17580	−	3.98233i	0.114005	−	0.142957i
$777$	0.391149	+	0.490486i	0.0140324	+	0.0175961i
$778$	−1.76680	−	7.74085i	−0.0633428	−	0.277523i
$779$	−1.39095	−	0.669848i	−0.0498361	−	0.0239998i
$780$	2.90991			0.104191
$781$	22.6094			0.809028
$782$	22.5233	+	10.8466i	0.805431	+	0.387875i
$783$	−6.43693	+	28.2020i	−0.230037	+	1.00786i
$784$	5.91369	−	2.84788i	0.211203	−	0.101710i
$785$	2.04005	−	8.93802i	0.0728123	−	0.319012i
$786$	−5.05858	+	6.34325i	−0.180433	+	0.226256i
$787$	14.9227	+	7.18637i	0.531935	+	0.256167i	0.680515	−	0.732734i	$-0.261756\pi$
$787$	14.9227	+	7.18637i	0.531935	+	0.256167i	−0.148580	+	0.988900i	$0.547470\pi$
$788$	−5.93028	+	7.43633i	−0.211257	+	0.264908i
$789$	−1.79945	−	7.88390i	−0.0640621	−	0.280674i
$790$	−0.272150	+	0.131060i	−0.00968265	+	0.00466292i
$791$	−9.40917	+	4.53122i	−0.334551	+	0.161111i
$792$	3.67810	+	4.61219i	0.130696	+	0.163887i
$793$	5.95289	+	26.0813i	0.211393	+	0.926175i
$794$	−5.83740	+	25.5753i	−0.207161	+	0.907634i
$795$	−2.48141	−	3.11159i	−0.0880064	−	0.110357i
$796$	2.44846	+	3.07027i	0.0867832	+	0.108823i
$797$	3.00763	−	13.1773i	0.106536	−	0.466763i	−0.893314	−	0.449433i	$-0.851626\pi$
$797$	3.00763	−	13.1773i	0.106536	−	0.466763i	0.999850	−	0.0173303i	$-0.00551667\pi$
$798$	0.0469128	+	0.205538i	0.00166070	+	0.00727598i
$799$	−24.5111	−	30.7360i	−0.867141	−	1.08736i
$800$	−0.900969	+	0.433884i	−0.0318541	+	0.0153401i
$801$	26.2894	−	12.6603i	0.928891	−	0.447330i
$802$	−1.24954	−	5.47457i	−0.0441226	−	0.193314i
$803$	−3.13759	+	3.93441i	−0.110723	+	0.138842i
$804$	0.399121	+	0.192207i	0.0140759	+	0.00677860i
$805$	1.58468	−	1.98713i	0.0558526	−	0.0700370i
$806$	−4.24095	+	18.5808i	−0.149381	+	0.654481i
$807$	13.5096	−	6.50589i	0.475561	−	0.229018i
$808$	−2.39576	+	10.4965i	−0.0842826	+	0.369266i
$809$	9.21109	+	4.43582i	0.323845	+	0.155955i	0.588741	−	0.808321i	$-0.299624\pi$
$809$	9.21109	+	4.43582i	0.323845	+	0.155955i	−0.264897	+	0.964277i	$0.585338\pi$
$810$	−4.45118			−0.156398
$811$	−38.6243			−1.35628			−0.678141	−	0.734932i	$-0.737214\pi$
$811$	−38.6243			−1.35628			−0.678141	+	0.734932i	$0.737214\pi$
$812$	−4.29855	−	2.07007i	−0.150850	−	0.0726453i
$813$	−4.20548	−	18.4254i	−0.147493	−	0.646208i
$814$	1.93495	+	2.42635i	0.0678200	+	0.0850436i
$815$	−3.70615	+	4.64737i	−0.129821	+	0.162790i
$816$	−4.76327			−0.166748
$817$	−0.861205	+	2.72169i	−0.0301297	+	0.0952198i
$818$	−12.5606			−0.439173
$819$	−4.02507	+	5.04728i	−0.140647	+	0.176366i
$820$	−2.21109	−	2.77262i	−0.0772148	−	0.0968242i
$821$	5.77513	+	25.3025i	0.201554	+	0.883064i	0.969991	+	0.243139i	$0.0781772\pi$
$821$	5.77513	+	25.3025i	0.201554	+	0.883064i	−0.768438	+	0.639924i	$0.778966\pi$
$822$	7.06490	+	3.40228i	0.246417	+	0.118668i
$823$	−7.88107			−0.274717			−0.137358	−	0.990521i	$-0.543861\pi$
$823$	−7.88107			−0.274717			−0.137358	+	0.990521i	$0.543861\pi$
$824$	8.00933			0.279018
$825$	1.58246	+	0.762075i	0.0550943	+	0.0265320i
$826$	1.37325	−	6.01660i	0.0477815	−	0.209344i
$827$	34.2611	−	16.4993i	1.19137	−	0.573736i	0.270170	−	0.962813i	$-0.412920\pi$
$827$	34.2611	−	16.4993i	1.19137	−	0.573736i	0.921205	+	0.389077i	$0.127206\pi$
$828$	2.10843	−	9.23765i	0.0732731	−	0.321030i
$829$	20.2530	−	25.3965i	0.703417	−	0.882057i	−0.293857	−	0.955849i	$-0.594939\pi$
$829$	20.2530	−	25.3965i	0.703417	−	0.882057i	0.997274	+	0.0737927i	$0.0235103\pi$
$830$	−4.49166	−	2.16307i	−0.155908	−	0.0750812i
$831$	−11.3286	+	14.2056i	−0.392985	+	0.492787i
$832$	0.883180	+	3.86946i	0.0306187	+	0.134149i
$833$	−38.4205	+	18.5023i	−1.33119	+	0.641067i
$834$	−14.5881	+	7.02525i	−0.505144	+	0.243264i
$835$	12.6179	+	15.8223i	0.436660	+	0.547554i
$836$	0.232070	+	1.01676i	0.00802631	+	0.0351655i
$837$	−4.27932	+	18.7489i	−0.147915	+	0.648058i
$838$	11.7226	+	14.6997i	0.404950	+	0.507791i
$839$	28.5766	+	35.8340i	0.986575	+	1.23713i	0.971451	+	0.237241i	$0.0762430\pi$
$839$	28.5766	+	35.8340i	0.986575	+	1.23713i	0.0151244	+	0.999886i	$0.495186\pi$
$840$	−0.107762	+	0.472137i	−0.00371815	+	0.0162903i
$841$	−5.15620	−	22.5908i	−0.177800	−	0.778993i
$842$	−10.8128	−	13.5588i	−0.372634	−	0.467268i
$843$	2.60641	−	1.25518i	0.0897695	−	0.0432307i
$844$	−21.0916	+	10.1572i	−0.726001	+	0.349624i
$845$	0.612544	+	2.68373i	0.0210722	+	0.0923232i
$846$	−9.29030	+	11.6497i	−0.319407	+	0.400524i
$847$	−3.13085	−	1.50774i	−0.107577	−	0.0518064i
$848$	3.38452	−	4.24405i	0.116225	−	0.145741i
$849$	−4.11521	+	18.0299i	−0.141234	+	0.618785i
$850$	5.85348	−	2.81889i	0.200773	−	0.0966871i
$851$	1.10919	−	4.85968i	0.0380226	−	0.166588i
$852$	6.23414	+	3.00220i	0.213578	+	0.102854i
$853$	−13.5509			−0.463974			−0.231987	−	0.972719i	$-0.574523\pi$
$853$	−13.5509			−0.463974			−0.231987	+	0.972719i	$0.574523\pi$
$854$	−4.45219			−0.152351
$855$	−0.965841	−	0.465125i	−0.0330311	−	0.0159069i
$856$	−2.81684	−	12.3414i	−0.0962776	−	0.421820i
$857$	−2.30079	−	2.88510i	−0.0785936	−	0.0985532i	0.740980	−	0.671527i	$-0.234361\pi$
$857$	−2.30079	−	2.88510i	−0.0785936	−	0.0985532i	−0.819574	+	0.572974i	$0.805790\pi$
$858$	4.34642	−	5.45024i	0.148384	−	0.186068i
$859$	−40.8456			−1.39364			−0.696818	−	0.717248i	$-0.745401\pi$
$859$	−40.8456			−1.39364			−0.696818	+	0.717248i	$0.745401\pi$
$860$	−4.49495	+	4.77446i	−0.153277	+	0.162808i
$861$	−1.71741			−0.0585291
$862$	−11.4989	+	14.4192i	−0.391655	+	0.491120i
$863$	31.1442	+	39.0536i	1.06016	+	1.32940i	0.941705	+	0.336440i	$0.109223\pi$
$863$	31.1442	+	39.0536i	1.06016	+	1.32940i	0.118456	+	0.992959i	$0.462206\pi$
$864$	0.891171	+	3.90447i	0.0303183	+	0.132833i
$865$	16.8690	+	8.12370i	0.573564	+	0.276214i
$866$	3.61166			0.122729
$867$	18.4826			0.627702
$868$	−2.85771	−	1.37620i	−0.0969970	−	0.0467113i
$869$	−0.161024	+	0.705494i	−0.00546238	+	0.0239323i
$870$	−4.77121	+	2.29769i	−0.161759	+	0.0778991i
$871$	−0.533633	+	2.33800i	−0.0180815	+	0.0792201i
$872$	1.56141	−	1.95794i	0.0528759	−	0.0663043i
$873$	11.3007	+	5.44213i	0.382471	+	0.184188i
$874$	1.04441	−	1.30965i	0.0353278	−	0.0442996i
$875$	−0.146982	−	0.643972i	−0.00496891	−	0.0217702i
$876$	−1.38757	+	0.668217i	−0.0468816	+	0.0225770i
$877$	−44.2624	+	21.3156i	−1.49463	+	0.719778i	−0.989670	−	0.143362i	$-0.954209\pi$
$877$	−44.2624	+	21.3156i	−1.49463	+	0.719778i	−0.504964	+	0.863140i	$0.668494\pi$
$878$	−10.6485	−	13.3528i	−0.359368	−	0.450634i
$879$	3.57489	+	15.6626i	0.120578	+	0.528288i
$880$	−0.533082	+	2.33558i	−0.0179702	+	0.0787325i
$881$	−34.1147	−	42.7785i	−1.14935	−	1.44124i	−0.877934	−	0.478783i	$-0.841078\pi$
$881$	−34.1147	−	42.7785i	−1.14935	−	1.44124i	−0.271420	−	0.962461i	$-0.587493\pi$
$882$	10.0774	+	12.6367i	0.339324	+	0.425499i
$883$	−0.803177	+	3.51895i	−0.0270291	+	0.118422i	−0.986643	−	0.162899i	$-0.947915\pi$
$883$	−0.803177	+	3.51895i	−0.0270291	+	0.118422i	0.959614	+	0.281321i	$0.0907726\pi$
$884$	−5.73791	−	25.1394i	−0.192987	−	0.845530i
$885$	−4.27085	−	5.35548i	−0.143563	−	0.180022i
$886$	26.4597	−	12.7423i	0.888932	−	0.428087i
$887$	34.6378	−	16.6807i	1.16302	−	0.560082i	0.250102	−	0.968219i	$-0.419536\pi$
$887$	34.6378	−	16.6807i	1.16302	−	0.560082i	0.912921	+	0.408137i	$0.133821\pi$
$888$	0.211344	+	0.925958i	0.00709223	+	0.0310731i
$889$	−4.65299	+	5.83467i	−0.156056	+	0.195689i
$890$	10.6760	+	5.14131i	0.357861	+	0.172337i
$891$	−6.64855	+	8.33702i	−0.222735	+	0.279301i
$892$	−0.414358	+	1.81542i	−0.0138737	+	0.0607848i
$893$	−2.37336	+	1.14295i	−0.0794215	+	0.0382474i
$894$	−3.11117	+	13.6309i	−0.104053	+	0.455886i
$895$	15.2285	+	7.33364i	0.509031	+	0.245137i
$896$	−0.660533			−0.0220669
$897$	−11.1969			−0.373853
$898$	−1.16975	−	0.563323i	−0.0390352	−	0.0187983i
$899$	−7.71796	−	33.8146i	−0.257408	−	1.12778i
$900$	−1.53533	−	1.92524i	−0.0511775	−	0.0641746i
$901$	−21.9888	+	27.5731i	−0.732553	+	0.918592i
$902$	−8.49573			−0.282877
$903$	0.450508	+	3.14351i	0.0149920	+	0.104610i
$904$	−15.8105			−0.525851
$905$	9.33582	−	11.7067i	0.310333	−	0.389145i
$906$	−6.35497	−	7.96888i	−0.211130	−	0.264748i
$907$	1.70214	+	7.45754i	0.0565185	+	0.247624i	0.995293	−	0.0969074i	$-0.0308951\pi$
$907$	1.70214	+	7.45754i	0.0565185	+	0.247624i	−0.938775	+	0.344531i	$0.888038\pi$
$908$	−6.40848	−	3.08616i	−0.212673	−	0.102418i
$909$	−26.5121			−0.879350
$910$	−2.62164			−0.0869065
$911$	−32.6492	−	15.7230i	−1.08172	−	0.520927i	−0.193852	−	0.981031i	$-0.562098\pi$
$911$	−32.6492	−	15.7230i	−1.08172	−	0.520927i	−0.887865	+	0.460103i	$0.847812\pi$
$912$	−0.0710226	+	0.311171i	−0.00235179	+	0.0103039i
$913$	−10.7604	+	5.18195i	−0.356118	+	0.171498i
$914$	−6.27995	+	27.5143i	−0.207722	+	0.910091i
$915$	−3.08113	+	3.86361i	−0.101859	+	0.127727i
$916$	−3.68871	−	1.77639i	−0.121878	−	0.0586935i
$917$	4.55745	−	5.71486i	0.150500	−	0.188721i
$918$	−5.78982	−	25.3669i	−0.191093	−	0.837232i
$919$	−14.0494	+	6.76584i	−0.463447	+	0.223184i	−0.651011	−	0.759068i	$-0.725655\pi$
$919$	−14.0494	+	6.76584i	−0.463447	+	0.223184i	0.187564	+	0.982252i	$0.439941\pi$
$920$	3.46679	−	1.66952i	0.114297	−	0.0550424i
$921$	2.59472	+	3.25367i	0.0854988	+	0.107212i
$922$	5.95881	+	26.1073i	0.196243	+	0.859797i
$923$	−8.33518	+	36.5188i	−0.274356	+	1.20203i
$924$	0.723349	+	0.907051i	0.0237964	+	0.0298398i
$925$	−0.807694	−	1.01282i	−0.0265568	−	0.0333012i
$926$	1.46931	−	6.43749i	0.0482847	−	0.211549i
$927$	4.38872	+	19.2282i	0.144144	+	0.631538i
$928$	−4.50347	−	5.64717i	−0.147834	−	0.185377i
$929$	−39.3371	+	18.9438i	−1.29061	+	0.621525i	−0.948095	−	0.317988i	$-0.896993\pi$
$929$	−39.3371	+	18.9438i	−1.29061	+	0.621525i	−0.342515	+	0.939512i	$0.611279\pi$
$930$	−3.17194	+	1.52752i	−0.104012	+	0.0500895i
$931$	0.635835	+	2.78577i	0.0208386	+	0.0913001i
$932$	−6.45514	+	8.09449i	−0.211445	+	0.265144i
$933$	−0.382710	−	0.184303i	−0.0125294	−	0.00603382i
$934$	−7.44216	+	9.33217i	−0.243515	+	0.305358i
$935$	3.46337	−	15.1740i	0.113264	−	0.496243i
$936$	−8.80560	+	4.24055i	−0.287820	+	0.138607i
$937$	7.82204	−	34.2706i	0.255535	−	1.11957i	−0.670433	−	0.741970i	$-0.733892\pi$
$937$	7.82204	−	34.2706i	0.255535	−	1.11957i	0.925968	−	0.377602i	$-0.123251\pi$
$938$	−0.359582	−	0.173166i	−0.0117408	−	0.00565406i
$939$	−1.09729			−0.0358088
$940$	−6.05103			−0.197363
$941$	18.0564	+	8.69552i	0.588623	+	0.283466i	0.704393	−	0.709810i	$-0.251219\pi$
$941$	18.0564	+	8.69552i	0.588623	+	0.283466i	−0.115770	+	0.993276i	$0.536934\pi$
$942$	−1.49569	−	6.55303i	−0.0487321	−	0.213509i
$943$	8.50795	+	10.6686i	0.277057	+	0.347418i
$944$	5.82523	−	7.30461i	0.189595	−	0.237745i
$945$	−2.64536			−0.0860536
$946$	2.22859	+	15.5504i	0.0724576	+	0.505588i
$947$	53.9507			1.75316			0.876581	−	0.481255i	$-0.159819\pi$
$947$	53.9507			1.75316			0.876581	+	0.481255i	$0.159819\pi$
$948$	−0.138079	+	0.173146i	−0.00448460	+	0.00562352i
$949$	−5.19818	−	6.51831i	−0.168740	−	0.211593i
$950$	−0.0968715	−	0.424422i	−0.00314292	−	0.0137701i
$951$	−4.47950	−	2.15721i	−0.145258	−	0.0699524i
$952$	4.29140			0.139085
$953$	−38.3190			−1.24127			−0.620636	−	0.784099i	$-0.713126\pi$
$953$	−38.3190			−1.24127			−0.620636	+	0.784099i	$0.713126\pi$
$954$	12.0434	+	5.79979i	0.389919	+	0.187775i
$955$	0.574552	−	2.51728i	0.0185921	−	0.0814572i
$956$	2.50368	−	1.20571i	0.0809748	−	0.0389954i
$957$	−2.82301	+	12.3684i	−0.0912550	+	0.399814i
$958$	20.0948	−	25.1981i	0.649233	−	0.814112i
$959$	−6.36502	−	3.06523i	−0.205537	−	0.0989815i
$960$	−0.457120	+	0.573211i	−0.0147535	+	0.0185003i
$961$	1.76719	+	7.74258i	0.0570062	+	0.249760i
$962$	−4.63240	+	2.23084i	−0.149354	+	0.0719253i
$963$	28.0849	−	13.5250i	0.905022	−	0.435835i
$964$	4.21226	+	5.28200i	0.135668	+	0.170122i
$965$	−5.80576	−	25.4367i	−0.186894	−	0.818837i
$966$	0.414652	−	1.81671i	0.0133412	−	0.0584517i
$967$	−13.5611	−	17.0051i	−0.436095	−	0.546846i	0.514414	−	0.857542i	$-0.328009\pi$
$967$	−13.5611	−	17.0051i	−0.436095	−	0.546846i	−0.950509	+	0.310696i	$0.899438\pi$
$968$	−3.28010	−	4.11311i	−0.105426	−	0.132200i
$969$	0.461425	−	2.02164i	0.0148231	−	0.0649443i
$970$	1.13343	+	4.96589i	0.0363923	+	0.159445i
$971$	9.23024	+	11.5744i	0.296212	+	0.371439i	0.907559	−	0.419924i	$-0.137943\pi$
$971$	9.23024	+	11.5744i	0.296212	+	0.371439i	−0.611347	+	0.791363i	$0.709372\pi$
$972$	−13.7651	+	6.62892i	−0.441515	+	0.212623i
$973$	13.1429	−	6.32929i	0.421342	−	0.202908i
$974$	−6.11610	−	26.7964i	−0.195973	−	0.858612i
$975$	−1.81430	+	2.27506i	−0.0581040	+	0.0728601i
$976$	−6.07280	−	2.92451i	−0.194386	−	0.0936111i
$977$	10.0057	−	12.5468i	0.320111	−	0.401406i	−0.595576	−	0.803299i	$-0.703076\pi$
$977$	10.0057	−	12.5468i	0.320111	−	0.401406i	0.915687	+	0.401893i	$0.131648\pi$
$978$	−0.969763	+	4.24881i	−0.0310096	+	0.135862i
$979$	25.5760	−	12.3168i	0.817413	−	0.393645i
$980$	−1.46056	+	6.39913i	−0.0466559	+	0.204413i
$981$	5.55607	+	2.67566i	0.177392	+	0.0854273i
$982$	34.1258			1.08900
$983$	−48.9481			−1.56120			−0.780601	−	0.625030i	$-0.785087\pi$
$983$	−48.9481			−1.56120			−0.780601	+	0.625030i	$0.785087\pi$
$984$	−2.34255	−	1.12811i	−0.0746777	−	0.0359629i
$985$	−2.11649	−	9.27296i	−0.0674370	−	0.295461i
$986$	29.2585	+	36.6890i	0.931779	+	1.16841i
$987$	−1.82707	+	2.29107i	−0.0581561	+	0.0729255i
$988$	−1.72784			−0.0549699
$989$	17.2959	−	18.3714i	0.549977	−	0.584176i
$990$	−5.89921			−0.187489
$991$	19.3706	−	24.2900i	0.615328	−	0.771596i	−0.372351	−	0.928092i	$-0.621448\pi$
$991$	19.3706	−	24.2900i	0.615328	−	0.771596i	0.987679	+	0.156496i	$0.0500197\pi$
$992$	−2.99394	−	3.75428i	−0.0950577	−	0.119199i
$993$	−2.65947	−	11.6519i	−0.0843956	−	0.369761i
$994$	−5.61656	−	2.70479i	−0.178146	−	0.0857908i
$995$	−3.92702			−0.124495
$996$	−3.65509			−0.115816
$997$	34.0722	+	16.4083i	1.07908	+	0.519656i	0.887022	−	0.461728i	$-0.152770\pi$
$997$	34.0722	+	16.4083i	1.07908	+	0.519656i	0.192055	+	0.981384i	$0.438485\pi$
$998$	1.40555	−	6.15813i	0.0444920	−	0.194932i
$999$	−4.67431	+	2.25103i	−0.147889	+	0.0712194i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	430.2.k.b.391.2	yes	18
43.11	even	7	inner	430.2.k.b.11.2	✓	18

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
430.2.k.b.11.2	✓	18	43.11	even	7	inner
430.2.k.b.391.2	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:	\( N \)	\(=\)	\( 430 = 2 \cdot 5 \cdot 43 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	430.k (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.623490 - 0.781831i) q^{2} +(0.457120 + 0.573211i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(0.900969 + 0.433884i) q^{5} +0.733164 q^{6} -0.660533 q^{7} +(-0.900969 - 0.433884i) q^{8} +(0.547951 - 2.40073i) q^{9} +O(q^{10})\)	\(q+(0.623490 - 0.781831i) q^{2} +(0.457120 + 0.573211i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(0.900969 + 0.433884i) q^{5} +0.733164 q^{6} -0.660533 q^{7} +(-0.900969 - 0.433884i) q^{8} +(0.547951 - 2.40073i) q^{9} +(0.900969 - 0.433884i) q^{10} +(0.533082 - 2.33558i) q^{11} +(0.457120 - 0.573211i) q^{12} +(3.57592 + 1.72207i) q^{13} +(-0.411836 + 0.516426i) q^{14} +(0.163144 + 0.714782i) q^{15} +(-0.900969 + 0.433884i) q^{16} +(5.85348 - 2.81889i) q^{17} +(-1.53533 - 1.92524i) q^{18} +(-0.0968715 - 0.424422i) q^{19} +(0.222521 - 0.974928i) q^{20} +(-0.301943 - 0.378625i) q^{21} +(-1.49366 - 1.87299i) q^{22} +(-0.856226 + 3.75137i) q^{23} +(-0.163144 - 0.714782i) q^{24} +(0.623490 + 0.781831i) q^{25} +(3.57592 - 1.72207i) q^{26} +(3.60828 - 1.73765i) q^{27} +(0.146982 + 0.643972i) q^{28} +(-4.50347 + 5.64717i) q^{29} +(0.660558 + 0.318108i) q^{30} +(-2.99394 + 3.75428i) q^{31} +(-0.222521 + 0.974928i) q^{32} +(1.58246 - 0.762075i) q^{33} +(1.44569 - 6.33398i) q^{34} +(-0.595120 - 0.286595i) q^{35} -2.46247 q^{36} -1.29544 q^{37} +(-0.392224 - 0.188885i) q^{38} +(0.647515 + 2.83695i) q^{39} +(-0.623490 - 0.781831i) q^{40} +(2.21109 - 2.77262i) q^{41} -0.484279 q^{42} +(-5.65497 - 3.31984i) q^{43} -2.39565 q^{44} +(1.53533 - 1.92524i) q^{45} +(2.39909 + 3.00837i) q^{46} +(-1.34648 - 5.89932i) q^{47} +(-0.660558 - 0.318108i) q^{48} -6.56370 q^{49} +1.00000 q^{50} +(4.29156 + 2.06671i) q^{51} +(0.883180 - 3.86946i) q^{52} +(-4.89077 + 2.35527i) q^{53} +(0.891171 - 3.90447i) q^{54} +(1.49366 - 1.87299i) q^{55} +(0.595120 + 0.286595i) q^{56} +(0.199001 - 0.249539i) q^{57} +(1.60727 + 7.04191i) q^{58} +(-8.41770 + 4.05375i) q^{59} +(0.660558 - 0.318108i) q^{60} +(4.20251 + 5.26978i) q^{61} +(1.06852 + 4.68151i) q^{62} +(-0.361940 + 1.58576i) q^{63} +(0.623490 + 0.781831i) q^{64} +(2.47461 + 3.10307i) q^{65} +(0.390836 - 1.71237i) q^{66} +(0.134451 + 0.589069i) q^{67} +(-4.05073 - 5.07946i) q^{68} +(-2.54172 + 1.22403i) q^{69} +(-0.595120 + 0.286595i) q^{70} +(2.10008 + 9.20107i) q^{71} +(-1.53533 + 1.92524i) q^{72} +(-1.89258 - 0.911416i) q^{73} +(-0.807694 + 1.01282i) q^{74} +(-0.163144 + 0.714782i) q^{75} +(-0.392224 + 0.188885i) q^{76} +(-0.352118 + 1.54273i) q^{77} +(2.62174 + 1.26256i) q^{78} -0.302063 q^{79} -1.00000 q^{80} +(-4.01037 - 1.93129i) q^{81} +(-0.789130 - 3.45741i) q^{82} +(-3.10832 - 3.89772i) q^{83} +(-0.301943 + 0.378625i) q^{84} +6.49687 q^{85} +(-6.12137 + 2.35135i) q^{86} -5.29564 q^{87} +(-1.49366 + 1.87299i) q^{88} +(7.38804 + 9.26431i) q^{89} +(-0.547951 - 2.40073i) q^{90} +(-2.36201 - 1.13749i) q^{91} +3.84785 q^{92} -3.52058 q^{93} +(-5.45179 - 2.62544i) q^{94} +(0.0968715 - 0.424422i) q^{95} +(-0.660558 + 0.318108i) q^{96} +(-1.13343 + 4.96589i) q^{97} +(-4.09240 + 5.13170i) q^{98} +(-5.31501 - 2.55957i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 18 q - 3 q^{2} + 2 q^{3} - 3 q^{4} + 3 q^{5} + 2 q^{6} + 6 q^{7} - 3 q^{8} - 7 q^{9}+O(q^{10}) \) 18 * q - 3 * q^2 + 2 * q^3 - 3 * q^4 + 3 * q^5 + 2 * q^6 + 6 * q^7 - 3 * q^8 - 7 * q^9	\( 18 q - 3 q^{2} + 2 q^{3} - 3 q^{4} + 3 q^{5} + 2 q^{6} + 6 q^{7} - 3 q^{8} - 7 q^{9} + 3 q^{10} + 9 q^{11} + 2 q^{12} + 4 q^{13} + 13 q^{14} + 5 q^{15} - 3 q^{16} - q^{17} + 7 q^{18} - 2 q^{19} + 3 q^{20} - 2 q^{21} - 12 q^{22} - 19 q^{23} - 5 q^{24} - 3 q^{25} + 4 q^{26} + 17 q^{27} - q^{28} - 4 q^{29} - 2 q^{30} - 13 q^{31} - 3 q^{32} - 42 q^{33} - 8 q^{34} + 15 q^{35} + 2 q^{37} + 12 q^{38} - 39 q^{39} + 3 q^{40} - 4 q^{41} - 2 q^{42} - 13 q^{43} - 12 q^{44} - 7 q^{45} + 16 q^{46} + 16 q^{47} + 2 q^{48} + 4 q^{49} + 18 q^{50} + 7 q^{51} - 10 q^{52} + 14 q^{53} - 4 q^{54} + 12 q^{55} - 15 q^{56} + 45 q^{57} + 24 q^{58} - 16 q^{59} - 2 q^{60} + 24 q^{61} + 50 q^{62} - 33 q^{63} - 3 q^{64} - 4 q^{65} + 5 q^{67} + 13 q^{68} + 4 q^{69} + 15 q^{70} - 3 q^{71} + 7 q^{72} - 22 q^{73} - 12 q^{74} - 5 q^{75} + 12 q^{76} - 24 q^{77} + 31 q^{78} - 38 q^{79} - 18 q^{80} + 22 q^{81} - 11 q^{82} - 26 q^{83} - 2 q^{84} + 8 q^{85} - 41 q^{86} - 22 q^{87} - 12 q^{88} + 52 q^{89} + 7 q^{90} - 14 q^{91} + 2 q^{92} - 6 q^{93} + 2 q^{94} + 2 q^{95} + 2 q^{96} + 27 q^{97} + 32 q^{98} + 36 q^{99}+O(q^{100}) \) 18 * q - 3 * q^2 + 2 * q^3 - 3 * q^4 + 3 * q^5 + 2 * q^6 + 6 * q^7 - 3 * q^8 - 7 * q^9 + 3 * q^10 + 9 * q^11 + 2 * q^12 + 4 * q^13 + 13 * q^14 + 5 * q^15 - 3 * q^16 - q^17 + 7 * q^18 - 2 * q^19 + 3 * q^20 - 2 * q^21 - 12 * q^22 - 19 * q^23 - 5 * q^24 - 3 * q^25 + 4 * q^26 + 17 * q^27 - q^28 - 4 * q^29 - 2 * q^30 - 13 * q^31 - 3 * q^32 - 42 * q^33 - 8 * q^34 + 15 * q^35 + 2 * q^37 + 12 * q^38 - 39 * q^39 + 3 * q^40 - 4 * q^41 - 2 * q^42 - 13 * q^43 - 12 * q^44 - 7 * q^45 + 16 * q^46 + 16 * q^47 + 2 * q^48 + 4 * q^49 + 18 * q^50 + 7 * q^51 - 10 * q^52 + 14 * q^53 - 4 * q^54 + 12 * q^55 - 15 * q^56 + 45 * q^57 + 24 * q^58 - 16 * q^59 - 2 * q^60 + 24 * q^61 + 50 * q^62 - 33 * q^63 - 3 * q^64 - 4 * q^65 + 5 * q^67 + 13 * q^68 + 4 * q^69 + 15 * q^70 - 3 * q^71 + 7 * q^72 - 22 * q^73 - 12 * q^74 - 5 * q^75 + 12 * q^76 - 24 * q^77 + 31 * q^78 - 38 * q^79 - 18 * q^80 + 22 * q^81 - 11 * q^82 - 26 * q^83 - 2 * q^84 + 8 * q^85 - 41 * q^86 - 22 * q^87 - 12 * q^88 + 52 * q^89 + 7 * q^90 - 14 * q^91 + 2 * q^92 - 6 * q^93 + 2 * q^94 + 2 * q^95 + 2 * q^96 + 27 * q^97 + 32 * q^98 + 36 * q^99

Introduction

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