LMFDB - Embedded newform 165.2.m.a.136.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [165,2,Mod(16,165)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(165, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 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("165.16");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 165 = 3 \cdot 5 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	165.m (of order $5$, degree $4$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$1.31753163335$
Analytic rank:	$0$
Dimension:	$8$
Relative dimension:	$2$ over $\Q(\zeta_{5})$
Coefficient field:	8.0.13140625.1
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} - 3x^{7} + 5x^{6} - 3x^{5} + 4x^{4} + 3x^{3} + 5x^{2} + 3x + 1 $ x^8 - 3x^7 + 5x^6 - 3x^5 + 4x^4 + 3x^3 + 5x^2 + 3*x + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			136.1
Root			$1.69513 + 1.23158i$ of defining polynomial
Character	$\chi$	$=$	165.136
Dual form			165.2.m.a.91.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-2.24278 - 1.62947i) q^{2} +(0.309017 - 0.951057i) q^{3} +(1.75683 + 5.40697i) q^{4} +(0.809017 - 0.587785i) q^{5} +(-2.24278 + 1.62947i) q^{6} +(-0.703814 - 2.16612i) q^{7} +(3.15700 - 9.71623i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})$	\(q+(-2.24278 - 1.62947i) q^{2} +(0.309017 - 0.951057i) q^{3} +(1.75683 + 5.40697i) q^{4} +(0.809017 - 0.587785i) q^{5} +(-2.24278 + 1.62947i) q^{6} +(-0.703814 - 2.16612i) q^{7} +(3.15700 - 9.71623i) q^{8} +(-0.809017 - 0.587785i) q^{9} -2.77222 q^{10} +(-0.105203 - 3.31496i) q^{11} +5.68522 q^{12} +(0.352519 + 0.256120i) q^{13} +(-1.95113 + 6.00496i) q^{14} +(-0.309017 - 0.951057i) q^{15} +(-13.7139 + 9.96371i) q^{16} +(-4.04508 + 2.93893i) q^{17} +(0.856664 + 2.63654i) q^{18} +(1.45113 - 4.46612i) q^{19} +(4.59944 + 3.34169i) q^{20} -2.27759 q^{21} +(-5.16568 + 7.60613i) q^{22} -0.845811 q^{23} +(-8.26512 - 6.00496i) q^{24} +(0.309017 - 0.951057i) q^{25} +(-0.373280 - 1.14884i) q^{26} +(-0.809017 + 0.587785i) q^{27} +(10.4756 - 7.61100i) q^{28} +(-0.821093 - 2.52706i) q^{29} +(-0.856664 + 2.63654i) q^{30} +(3.77637 + 2.74369i) q^{31} +26.5602 q^{32} +(-3.18522 - 0.924324i) q^{33} +13.8611 q^{34} +(-1.84261 - 1.33873i) q^{35} +(1.75683 - 5.40697i) q^{36} +(-2.73863 - 8.42864i) q^{37} +(-10.5320 + 7.65193i) q^{38} +(0.352519 - 0.256120i) q^{39} +(-3.15700 - 9.71623i) q^{40} +(-1.32697 + 4.08400i) q^{41} +(5.10813 + 3.71127i) q^{42} +7.00317 q^{43} +(17.7390 - 6.39264i) q^{44} -1.00000 q^{45} +(1.89696 + 1.37823i) q^{46} +(0.144675 - 0.445265i) q^{47} +(5.23823 + 16.1216i) q^{48} +(1.46641 - 1.06541i) q^{49} +(-2.24278 + 1.62947i) q^{50} +(1.54508 + 4.75528i) q^{51} +(-0.765515 + 2.35601i) q^{52} +(8.76863 + 6.37078i) q^{53} +2.77222 q^{54} +(-2.03359 - 2.62002i) q^{55} -23.2684 q^{56} +(-3.79911 - 2.76021i) q^{57} +(-2.27625 + 7.00558i) q^{58} +(1.21629 + 3.74334i) q^{59} +(4.59944 - 3.34169i) q^{60} +(-2.39913 + 1.74307i) q^{61} +(-3.99878 - 12.3070i) q^{62} +(-0.703814 + 2.16612i) q^{63} +(-32.1409 - 23.3517i) q^{64} +0.435737 q^{65} +(5.63757 + 7.26328i) q^{66} -2.47048 q^{67} +(-22.9972 - 16.7084i) q^{68} +(-0.261370 + 0.804414i) q^{69} +(1.95113 + 6.00496i) q^{70} +(9.15321 - 6.65020i) q^{71} +(-8.26512 + 6.00496i) q^{72} +(2.60474 + 8.01655i) q^{73} +(-7.59209 + 23.3661i) q^{74} +(-0.809017 - 0.587785i) q^{75} +26.6975 q^{76} +(-7.10654 + 2.56099i) q^{77} -1.20796 q^{78} +(8.79457 + 6.38963i) q^{79} +(-5.23823 + 16.1216i) q^{80} +(0.309017 + 0.951057i) q^{81} +(9.63087 - 6.99723i) q^{82} +(4.78978 - 3.47998i) q^{83} +(-4.00134 - 12.3149i) q^{84} +(-1.54508 + 4.75528i) q^{85} +(-15.7065 - 11.4115i) q^{86} -2.65711 q^{87} +(-32.5410 - 9.44313i) q^{88} +5.89958 q^{89} +(2.24278 + 1.62947i) q^{90} +(0.306678 - 0.943857i) q^{91} +(-1.48595 - 4.57327i) q^{92} +(3.77637 - 2.74369i) q^{93} +(-1.05002 + 0.762885i) q^{94} +(-1.45113 - 4.46612i) q^{95} +(8.20756 - 25.2603i) q^{96} +(6.99640 + 5.08318i) q^{97} -5.02487 q^{98} +(-1.86337 + 2.74369i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q - 2 q^{3} - 2 q^{4} + 2 q^{5} + q^{7} + 5 q^{8} - 2 q^{9}+O(q^{10}) $ 8 * q - 2 * q^3 - 2 * q^4 + 2 * q^5 + q^7 + 5 * q^8 - 2 * q^9	\( 8 q - 2 q^{3} - 2 q^{4} + 2 q^{5} + q^{7} + 5 q^{8} - 2 q^{9} - 10 q^{10} - 3 q^{11} + 18 q^{12} + 6 q^{13} - 10 q^{14} + 2 q^{15} - 20 q^{16} - 10 q^{17} - 5 q^{18} + 6 q^{19} + 7 q^{20} - 4 q^{21} - 25 q^{22} - 10 q^{23} - 20 q^{24} - 2 q^{25} - 8 q^{26} - 2 q^{27} + 31 q^{28} + 5 q^{30} + 3 q^{31} + 60 q^{32} + 2 q^{33} + 50 q^{34} - q^{35} - 2 q^{36} - 19 q^{37} - 28 q^{38} + 6 q^{39} - 5 q^{40} - 25 q^{41} + 15 q^{42} - 4 q^{43} + 7 q^{44} - 8 q^{45} - 6 q^{46} + 15 q^{47} + 5 q^{48} + 21 q^{49} - 10 q^{51} + 6 q^{52} + 7 q^{53} + 10 q^{54} - 7 q^{55} + 20 q^{56} - 9 q^{57} - 2 q^{58} + 35 q^{59} + 7 q^{60} + 21 q^{61} - 19 q^{62} + q^{63} - 77 q^{64} - 6 q^{65} + 25 q^{66} - 26 q^{67} - 35 q^{68} - 5 q^{69} + 10 q^{70} + 25 q^{71} - 20 q^{72} + q^{73} - 29 q^{74} - 2 q^{75} - 14 q^{76} - 61 q^{77} + 12 q^{78} + 30 q^{79} - 5 q^{80} - 2 q^{81} + 57 q^{82} + 11 q^{83} - 34 q^{84} + 10 q^{85} - 34 q^{86} + 10 q^{87} - 85 q^{88} + 32 q^{89} + 37 q^{91} - 10 q^{92} + 3 q^{93} - 39 q^{94} - 6 q^{95} + 10 q^{96} + 5 q^{97} + 50 q^{98} - 3 q^{99}+O(q^{100}) \) 8 * q - 2 * q^3 - 2 * q^4 + 2 * q^5 + q^7 + 5 * q^8 - 2 * q^9 - 10 * q^10 - 3 * q^11 + 18 * q^12 + 6 * q^13 - 10 * q^14 + 2 * q^15 - 20 * q^16 - 10 * q^17 - 5 * q^18 + 6 * q^19 + 7 * q^20 - 4 * q^21 - 25 * q^22 - 10 * q^23 - 20 * q^24 - 2 * q^25 - 8 * q^26 - 2 * q^27 + 31 * q^28 + 5 * q^30 + 3 * q^31 + 60 * q^32 + 2 * q^33 + 50 * q^34 - q^35 - 2 * q^36 - 19 * q^37 - 28 * q^38 + 6 * q^39 - 5 * q^40 - 25 * q^41 + 15 * q^42 - 4 * q^43 + 7 * q^44 - 8 * q^45 - 6 * q^46 + 15 * q^47 + 5 * q^48 + 21 * q^49 - 10 * q^51 + 6 * q^52 + 7 * q^53 + 10 * q^54 - 7 * q^55 + 20 * q^56 - 9 * q^57 - 2 * q^58 + 35 * q^59 + 7 * q^60 + 21 * q^61 - 19 * q^62 + q^63 - 77 * q^64 - 6 * q^65 + 25 * q^66 - 26 * q^67 - 35 * q^68 - 5 * q^69 + 10 * q^70 + 25 * q^71 - 20 * q^72 + q^73 - 29 * q^74 - 2 * q^75 - 14 * q^76 - 61 * q^77 + 12 * q^78 + 30 * q^79 - 5 * q^80 - 2 * q^81 + 57 * q^82 + 11 * q^83 - 34 * q^84 + 10 * q^85 - 34 * q^86 + 10 * q^87 - 85 * q^88 + 32 * q^89 + 37 * q^91 - 10 * q^92 + 3 * q^93 - 39 * q^94 - 6 * q^95 + 10 * q^96 + 5 * q^97 + 50 * q^98 - 3 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/165\mathbb{Z}\right)^\times$.

$n$	$46$	$56$	$67$
$\chi(n)$	$e\left(\frac{1}{5}\right)$	$1$	$1$

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 $

$2$	−2.24278	−	1.62947i	−1.58588	−	1.15221i	−0.909535	−	0.415627i	$-0.863562\pi$
$2$	−2.24278	−	1.62947i	−1.58588	−	1.15221i	−0.676347	−	0.736584i	$-0.736438\pi$
$3$	0.309017	−	0.951057i	0.178411	−	0.549093i
$3$	0.309017	−	0.951057i	0.178411	−	0.549093i
$4$	1.75683	+	5.40697i	0.878415	+	2.70348i
$5$	0.809017	−	0.587785i	0.361803	−	0.262866i
$5$	0.809017	−	0.587785i	0.361803	−	0.262866i
$6$	−2.24278	+	1.62947i	−0.915609	+	0.665229i
$7$	−0.703814	−	2.16612i	−0.266017	−	0.818716i	−0.991457	−	0.130431i	$-0.958364\pi$
$7$	−0.703814	−	2.16612i	−0.266017	−	0.818716i	0.725441	−	0.688285i	$-0.241636\pi$
$8$	3.15700	−	9.71623i	1.11617	−	3.43521i
$9$	−0.809017	−	0.587785i	−0.269672	−	0.195928i
$10$	−2.77222			−0.876654
$11$	−0.105203	−	3.31496i	−0.0317198	−	0.999497i
$11$	−0.105203	−	3.31496i	−0.0317198	−	0.999497i
$12$	5.68522			1.64118
$13$	0.352519	+	0.256120i	0.0977711	+	0.0710348i	0.635597	−	0.772021i	$-0.280754\pi$
$13$	0.352519	+	0.256120i	0.0977711	+	0.0710348i	−0.537826	+	0.843056i	$0.680754\pi$
$14$	−1.95113	+	6.00496i	−0.521461	+	1.60489i
$15$	−0.309017	−	0.951057i	−0.0797878	−	0.245562i
$16$	−13.7139	+	9.96371i	−3.42847	+	2.49093i
$17$	−4.04508	+	2.93893i	−0.981077	+	0.712794i	−0.957949	−	0.286938i	$-0.907363\pi$
$17$	−4.04508	+	2.93893i	−0.981077	+	0.712794i	−0.0231281	+	0.999733i	$0.507363\pi$
$18$	0.856664	+	2.63654i	0.201918	+	0.621439i
$19$	1.45113	−	4.46612i	0.332912	−	1.02460i	−0.634829	−	0.772652i	$-0.718930\pi$
$19$	1.45113	−	4.46612i	0.332912	−	1.02460i	0.967741	−	0.251946i	$-0.0810704\pi$
$20$	4.59944	+	3.34169i	1.02847	+	0.747224i
$21$	−2.27759			−0.497011
$22$	−5.16568	+	7.60613i	−1.10133	+	1.62163i
$23$	−0.845811			−0.176364			−0.0881819	−	0.996104i	$-0.528106\pi$
$23$	−0.845811			−0.176364			−0.0881819	+	0.996104i	$0.528106\pi$
$24$	−8.26512	−	6.00496i	−1.68711	−	1.22576i
$25$	0.309017	−	0.951057i	0.0618034	−	0.190211i
$26$	−0.373280	−	1.14884i	−0.0732063	−	0.225306i
$27$	−0.809017	+	0.587785i	−0.155695	+	0.113119i
$28$	10.4756	−	7.61100i	1.97971	−	1.43834i
$29$	−0.821093	−	2.52706i	−0.152473	−	0.469264i	0.845423	−	0.534097i	$-0.179348\pi$
$29$	−0.821093	−	2.52706i	−0.152473	−	0.469264i	−0.997896	+	0.0648334i	$0.979348\pi$
$30$	−0.856664	+	2.63654i	−0.156405	+	0.481364i
$31$	3.77637	+	2.74369i	0.678256	+	0.492782i	0.872779	−	0.488116i	$-0.162316\pi$
$31$	3.77637	+	2.74369i	0.678256	+	0.492782i	−0.194523	+	0.980898i	$0.562316\pi$
$32$	26.5602			4.69523
$33$	−3.18522	−	0.924324i	−0.554476	−	0.160904i
$34$	13.8611			2.37716
$35$	−1.84261	−	1.33873i	−0.311458	−	0.226287i
$36$	1.75683	−	5.40697i	0.292805	−	0.901161i
$37$	−2.73863	−	8.42864i	−0.450228	−	1.38566i	−0.876647	−	0.481134i	$-0.840225\pi$
$37$	−2.73863	−	8.42864i	−0.450228	−	1.38566i	0.426419	−	0.904526i	$-0.359775\pi$
$38$	−10.5320	+	7.65193i	−1.70851	+	1.24131i
$39$	0.352519	−	0.256120i	0.0564481	−	0.0410120i
$40$	−3.15700	−	9.71623i	−0.499165	−	1.53627i
$41$	−1.32697	+	4.08400i	−0.207238	+	0.637814i	0.792376	+	0.610033i	$0.208844\pi$
$41$	−1.32697	+	4.08400i	−0.207238	+	0.637814i	−0.999614	+	0.0277805i	$0.991156\pi$
$42$	5.10813	+	3.71127i	0.788201	+	0.572661i
$43$	7.00317			1.06797			0.533986	−	0.845493i	$-0.320693\pi$
$43$	7.00317			1.06797			0.533986	+	0.845493i	$0.320693\pi$
$44$	17.7390	−	6.39264i	2.67426	−	0.963727i
$45$	−1.00000			−0.149071
$46$	1.89696	+	1.37823i	0.279692	+	0.203208i
$47$	0.144675	−	0.445265i	0.0211031	−	0.0649485i	−0.939950	−	0.341311i	$-0.889129\pi$
$47$	0.144675	−	0.445265i	0.0211031	−	0.0649485i	0.961053	+	0.276363i	$0.0891290\pi$
$48$	5.23823	+	16.1216i	0.756074	+	2.32696i
$49$	1.46641	−	1.06541i	0.209487	−	0.152201i
$50$	−2.24278	+	1.62947i	−0.317176	+	0.230442i
$51$	1.54508	+	4.75528i	0.216355	+	0.665873i
$52$	−0.765515	+	2.35601i	−0.106158	+	0.326720i
$53$	8.76863	+	6.37078i	1.20446	+	0.875094i	0.994716	−	0.102662i	$-0.0327359\pi$
$53$	8.76863	+	6.37078i	1.20446	+	0.875094i	0.209747	+	0.977756i	$0.432736\pi$
$54$	2.77222			0.377252
$55$	−2.03359	−	2.62002i	−0.274210	−	0.353283i
$56$	−23.2684			−3.10938
$57$	−3.79911	−	2.76021i	−0.503204	−	0.365599i
$58$	−2.27625	+	7.00558i	−0.298887	+	0.919878i
$59$	1.21629	+	3.74334i	0.158347	+	0.487341i	0.998485	−	0.0550316i	$-0.0175260\pi$
$59$	1.21629	+	3.74334i	0.158347	+	0.487341i	−0.840138	+	0.542373i	$0.817526\pi$
$60$	4.59944	−	3.34169i	0.593785	−	0.431410i
$61$	−2.39913	+	1.74307i	−0.307177	+	0.223177i	−0.730684	−	0.682715i	$-0.760799\pi$
$61$	−2.39913	+	1.74307i	−0.307177	+	0.223177i	0.423507	+	0.905893i	$0.360799\pi$
$62$	−3.99878	−	12.3070i	−0.507845	−	1.56299i
$63$	−0.703814	+	2.16612i	−0.0886723	+	0.272905i
$64$	−32.1409	−	23.3517i	−4.01761	−	2.91897i
$65$	0.435737			0.0540465
$66$	5.63757	+	7.26328i	0.693937	+	0.894048i
$67$	−2.47048			−0.301817			−0.150909	−	0.988548i	$-0.548220\pi$
$67$	−2.47048			−0.301817			−0.150909	+	0.988548i	$0.548220\pi$
$68$	−22.9972	−	16.7084i	−2.78882	−	2.02620i
$69$	−0.261370	+	0.804414i	−0.0314653	+	0.0968401i
$70$	1.95113	+	6.00496i	0.233205	+	0.717730i
$71$	9.15321	−	6.65020i	1.08629	−	0.789233i	0.107518	−	0.994203i	$-0.465710\pi$
$71$	9.15321	−	6.65020i	1.08629	−	0.789233i	0.978768	+	0.204970i	$0.0657097\pi$
$72$	−8.26512	+	6.00496i	−0.974054	+	0.707691i
$73$	2.60474	+	8.01655i	0.304861	+	0.938266i	0.979729	+	0.200328i	$0.0642007\pi$
$73$	2.60474	+	8.01655i	0.304861	+	0.938266i	−0.674868	+	0.737939i	$0.735799\pi$
$74$	−7.59209	+	23.3661i	−0.882563	+	2.71625i
$75$	−0.809017	−	0.587785i	−0.0934172	−	0.0678716i
$76$	26.6975			3.06242
$77$	−7.10654	+	2.56099i	−0.809866	+	0.291852i
$78$	−1.20796			−0.136775
$79$	8.79457	+	6.38963i	0.989466	+	0.718889i	0.959804	−	0.280671i	$-0.0905569\pi$
$79$	8.79457	+	6.38963i	0.989466	+	0.718889i	0.0296621	+	0.999560i	$0.490557\pi$
$80$	−5.23823	+	16.1216i	−0.585652	+	1.80245i
$81$	0.309017	+	0.951057i	0.0343352	+	0.105673i
$82$	9.63087	−	6.99723i	1.06355	−	0.772715i
$83$	4.78978	−	3.47998i	0.525747	−	0.381978i	−0.293017	−	0.956107i	$-0.594659\pi$
$83$	4.78978	−	3.47998i	0.525747	−	0.381978i	0.818764	+	0.574130i	$0.194659\pi$
$84$	−4.00134	−	12.3149i	−0.436582	−	1.34366i
$85$	−1.54508	+	4.75528i	−0.167588	+	0.515783i
$86$	−15.7065	−	11.4115i	−1.69368	−	1.23053i
$87$	−2.65711			−0.284872
$88$	−32.5410	−	9.44313i	−3.46888	−	1.00664i
$89$	5.89958			0.625354			0.312677	−	0.949859i	$-0.398774\pi$
$89$	5.89958			0.625354			0.312677	+	0.949859i	$0.398774\pi$
$90$	2.24278	+	1.62947i	0.236409	+	0.171761i
$91$	0.306678	−	0.943857i	0.0321486	−	0.0989431i
$92$	−1.48595	−	4.57327i	−0.154921	−	0.476796i
$93$	3.77637	−	2.74369i	0.391591	−	0.284508i
$94$	−1.05002	+	0.762885i	−0.108301	+	0.0786855i
$95$	−1.45113	−	4.46612i	−0.148883	−	0.458214i
$96$	8.20756	−	25.2603i	0.837681	−	2.57812i
$97$	6.99640	+	5.08318i	0.710377	+	0.516119i	0.883295	−	0.468817i	$-0.155320\pi$
$97$	6.99640	+	5.08318i	0.710377	+	0.516119i	−0.172918	+	0.984936i	$0.555320\pi$
$98$	−5.02487			−0.507589
$99$	−1.86337	+	2.74369i	−0.187276	+	0.275751i
$100$	5.68522			0.568522
$101$	4.59624	+	3.33936i	0.457343	+	0.332279i	0.792488	−	0.609887i	$-0.208785\pi$
$101$	4.59624	+	3.33936i	0.457343	+	0.332279i	−0.335145	+	0.942166i	$0.608785\pi$
$102$	4.28332	−	13.1827i	0.424112	−	1.30528i
$103$	−0.400526	−	1.23269i	−0.0394650	−	0.121461i	0.929383	−	0.369117i	$-0.120340\pi$
$103$	−0.400526	−	1.23269i	−0.0394650	−	0.121461i	−0.968848	+	0.247656i	$0.920340\pi$
$104$	3.60142	−	2.61658i	0.353148	−	0.256577i
$105$	−1.84261	+	1.33873i	−0.179820	+	0.130647i
$106$	−9.28505	−	28.5765i	−0.901844	−	2.77559i
$107$	−3.77024	+	11.6036i	−0.364483	+	1.12176i	0.585821	+	0.810441i	$0.300772\pi$
$107$	−3.77024	+	11.6036i	−0.364483	+	1.12176i	−0.950304	+	0.311324i	$0.899228\pi$
$108$	−4.59944	−	3.34169i	−0.442581	−	0.321554i
$109$	−12.1644			−1.16514			−0.582568	−	0.812782i	$-0.697952\pi$
$109$	−12.1644			−1.16514			−0.582568	+	0.812782i	$0.697952\pi$
$110$	0.291645	+	9.18980i	0.0278073	+	0.876213i
$111$	−8.86239			−0.841181
$112$	31.2346	+	22.6933i	2.95139	+	2.14431i
$113$	0.0438966	−	0.135100i	0.00412944	−	0.0127091i	−0.948971	−	0.315365i	$-0.897873\pi$
$113$	0.0438966	−	0.135100i	0.00412944	−	0.0127091i	0.953100	+	0.302656i	$0.0978732\pi$
$114$	4.02286	+	12.3811i	0.376775	+	1.15959i
$115$	−0.684276	+	0.497155i	−0.0638090	+	0.0463600i
$116$	12.2212	−	8.87924i	1.13471	−	0.824417i
$117$	−0.134650	−	0.414410i	−0.0124484	−	0.0383123i
$118$	3.37181	−	10.3774i	0.310401	−	0.955315i
$119$	9.21305	+	6.69367i	0.844559	+	0.613608i
$120$	−10.2163			−0.932612
$121$	−10.9779	+	0.697484i	−0.997988	+	0.0634077i
$122$	8.22100			0.744294
$123$	3.47406	+	2.52405i	0.313245	+	0.227586i
$124$	−8.20061	+	25.2389i	−0.736437	+	2.26652i
$125$	−0.309017	−	0.951057i	−0.0276393	−	0.0850651i
$126$	5.10813	−	3.71127i	0.455068	−	0.330626i
$127$	0.407512	−	0.296075i	0.0361609	−	0.0262724i	−0.569558	−	0.821951i	$-0.692886\pi$
$127$	0.407512	−	0.296075i	0.0361609	−	0.0262724i	0.605719	+	0.795679i	$0.292886\pi$
$128$	17.6187	+	54.2248i	1.55729	+	4.79284i
$129$	2.16410	−	6.66041i	0.190538	−	0.586416i
$130$	−0.977260	−	0.710021i	−0.0857114	−	0.0622730i
$131$	19.1098			1.66963			0.834816	−	0.550529i	$-0.185574\pi$
$131$	19.1098			1.66963			0.834816	+	0.550529i	$0.185574\pi$
$132$	−0.598100	−	18.8463i	−0.0520579	−	1.64036i
$133$	−10.6955			−0.927415
$134$	5.54073	+	4.02558i	0.478646	+	0.347757i
$135$	−0.309017	+	0.951057i	−0.0265959	+	0.0818539i
$136$	15.7850	+	48.5812i	1.35355	+	4.16580i
$137$	−9.98713	+	7.25608i	−0.853258	+	0.619929i	−0.926043	−	0.377419i	$-0.876812\pi$
$137$	−9.98713	+	7.25608i	−0.853258	+	0.619929i	0.0727841	+	0.997348i	$0.476812\pi$
$138$	1.89696	−	1.37823i	0.161480	−	0.117322i
$139$	−2.38943	−	7.35391i	−0.202669	−	0.623750i	−0.999801	−	0.0199456i	$-0.993651\pi$
$139$	−2.38943	−	7.35391i	−0.202669	−	0.623750i	0.797132	−	0.603805i	$-0.206349\pi$
$140$	4.00134	−	12.3149i	0.338175	−	1.04080i
$141$	−0.378765	−	0.275189i	−0.0318978	−	0.0231751i
$142$	−31.3649			−2.63208
$143$	0.811940	−	1.19553i	0.0678978	−	0.0999751i
$144$	16.9513			1.41261
$145$	−2.14965	−	1.56181i	−0.178519	−	0.129701i
$146$	7.22091	−	22.2237i	0.597607	−	1.83924i
$147$	−0.560118	−	1.72386i	−0.0461977	−	0.142182i
$148$	40.7620	−	29.6154i	3.35062	−	2.43437i
$149$	−6.15577	+	4.47243i	−0.504301	+	0.366396i	−0.810657	−	0.585521i	$-0.800890\pi$
$149$	−6.15577	+	4.47243i	−0.504301	+	0.366396i	0.306357	+	0.951917i	$0.400890\pi$
$150$	0.856664	+	2.63654i	0.0699463	+	0.215273i
$151$	−0.826389	+	2.54336i	−0.0672506	+	0.206976i	−0.979035	−	0.203694i	$-0.934705\pi$
$151$	−0.826389	+	2.54336i	−0.0672506	+	0.206976i	0.911784	+	0.410670i	$0.134705\pi$
$152$	−38.8126	−	28.1990i	−3.14812	−	2.28724i
$153$	5.00000			0.404226
$154$	20.1114	+	5.83617i	1.62063	+	0.470292i
$155$	4.66785			0.374931
$156$	2.00415	+	1.45610i	0.160460	+	0.116581i
$157$	6.24214	−	19.2113i	0.498177	−	1.53323i	−0.313770	−	0.949499i	$-0.601592\pi$
$157$	6.24214	−	19.2113i	0.498177	−	1.53323i	0.811947	−	0.583731i	$-0.198408\pi$
$158$	−9.31252	−	28.6610i	−0.740865	−	2.28015i
$159$	8.76863	−	6.37078i	0.695397	−	0.505236i
$160$	21.4877	−	15.6117i	1.69875	−	1.23421i
$161$	0.595294	+	1.83213i	0.0469157	+	0.144392i
$162$	0.856664	−	2.63654i	0.0673059	−	0.207146i
$163$	7.92498	+	5.75784i	0.620733	+	0.450989i	0.853177	−	0.521621i	$-0.174672\pi$
$163$	7.92498	+	5.75784i	0.620733	+	0.450989i	−0.232445	+	0.972610i	$0.574672\pi$
$164$	−24.4133			−1.90636
$165$	−3.12020	+	1.12443i	−0.242907	+	0.0875369i
$166$	−16.4129			−1.27389
$167$	−20.6927	−	15.0341i	−1.60125	−	1.16338i	−0.885065	−	0.465467i	$-0.845886\pi$
$167$	−20.6927	−	15.0341i	−1.60125	−	1.16338i	−0.716185	−	0.697910i	$-0.754114\pi$
$168$	−7.19034	+	22.1296i	−0.554747	+	1.70734i
$169$	−3.95855	−	12.1832i	−0.304504	−	0.937166i
$170$	11.2139	−	8.14736i	0.860065	−	0.624874i
$171$	−3.79911	+	2.76021i	−0.290525	+	0.211079i
$172$	12.3034	+	37.8659i	0.938123	+	2.88725i
$173$	−2.08712	+	6.42349i	−0.158681	+	0.488369i	−0.998515	−	0.0544734i	$-0.982652\pi$
$173$	−2.08712	+	6.42349i	−0.158681	+	0.488369i	0.839834	+	0.542843i	$0.182652\pi$
$174$	5.95930	+	4.32969i	0.451774	+	0.328233i
$175$	−2.27759			−0.172170
$176$	34.4720	+	44.4127i	2.59843	+	3.34773i
$177$	3.93598			0.295846
$178$	−13.2314	−	9.61320i	−0.991738	−	0.720540i
$179$	2.01539	−	6.20274i	0.150638	−	0.463615i	−0.847055	−	0.531505i	$-0.821627\pi$
$179$	2.01539	−	6.20274i	0.150638	−	0.463615i	0.997693	+	0.0678901i	$0.0216267\pi$
$180$	−1.75683	−	5.40697i	−0.130946	−	0.403011i
$181$	−11.1257	+	8.08332i	−0.826970	+	0.600829i	−0.918700	−	0.394955i	$-0.870760\pi$
$181$	−11.1257	+	8.08332i	−0.826970	+	0.600829i	0.0917306	+	0.995784i	$0.470760\pi$
$182$	−2.22580	+	1.61714i	−0.164987	+	0.119870i
$183$	0.916387	+	2.82035i	0.0677412	+	0.208486i
$184$	−2.67022	+	8.21810i	−0.196851	+	0.605846i
$185$	−7.16983	−	5.20918i	−0.527136	−	0.382987i
$186$	−12.9403			−0.948830
$187$	10.1680	+	13.1001i	0.743555	+	0.957974i
$188$	2.66170			0.194124
$189$	1.84261	+	1.33873i	0.134030	+	0.0973786i
$190$	−4.02286	+	12.3811i	−0.291849	+	0.898218i
$191$	−6.00607	−	18.4848i	−0.434584	−	1.33751i	−0.893512	−	0.449038i	$-0.851767\pi$
$191$	−6.00607	−	18.4848i	−0.434584	−	1.33751i	0.458929	−	0.888473i	$-0.348233\pi$
$192$	−32.1409	+	23.3517i	−2.31957	+	1.68527i
$193$	−18.2938	+	13.2912i	−1.31681	+	0.956722i	−0.316849	+	0.948476i	$0.602625\pi$
$193$	−18.2938	+	13.2912i	−1.31681	+	0.956722i	−0.999966	+	0.00824604i	$0.997375\pi$
$194$	−7.40846	−	22.8009i	−0.531896	−	1.63701i
$195$	0.134650	−	0.414410i	0.00964249	−	0.0296765i
$196$	8.33685	+	6.05707i	0.595489	+	0.432648i
$197$	23.0300			1.64082			0.820410	−	0.571776i	$-0.193745\pi$
$197$	23.0300			1.64082			0.820410	+	0.571776i	$0.193745\pi$
$198$	8.64989	−	3.11717i	0.614721	−	0.221528i
$199$	−19.6216			−1.39094			−0.695468	−	0.718557i	$-0.744803\pi$
$199$	−19.6216			−1.39094			−0.695468	+	0.718557i	$0.744803\pi$
$200$	−8.26512	−	6.00496i	−0.584432	−	0.424615i
$201$	−0.763420	+	2.34957i	−0.0538475	+	0.165726i
$202$	−4.86693	−	14.9789i	−0.342436	−	1.05391i
$203$	−4.89602	+	3.55717i	−0.343633	+	0.249664i
$204$	−22.9972	+	16.7084i	−1.61013	+	1.16982i
$205$	1.32697	+	4.08400i	0.0926798	+	0.285239i
$206$	−1.11035	+	3.41730i	−0.0773616	+	0.238095i
$207$	0.684276	+	0.497155i	0.0475604	+	0.0345547i
$208$	−7.38630			−0.512148
$209$	−14.9577	−	4.34059i	−1.03464	−	0.300245i
$210$	6.31399			0.435707
$211$	−0.0403903	−	0.0293453i	−0.00278059	−	0.00202021i	0.586394	−	0.810026i	$-0.300547\pi$
$211$	−0.0403903	−	0.0293453i	−0.00278059	−	0.00202021i	−0.589175	+	0.808006i	$0.700547\pi$
$212$	−19.0416	+	58.6040i	−1.30778	+	4.02494i
$213$	−3.49622	−	10.7602i	−0.239557	−	0.737280i
$214$	27.3636	−	19.8808i	1.87054	−	1.35902i
$215$	5.66568	−	4.11636i	0.386396	−	0.280733i
$216$	3.15700	+	9.71623i	0.214806	+	0.661106i
$217$	3.28530	−	10.1111i	0.223021	−	0.686387i
$218$	27.2819	+	19.8215i	1.84777	+	1.34248i
$219$	8.42910			0.569586
$220$	10.5937	−	15.5985i	0.714226	−	1.05165i
$221$	−2.17868			−0.146554
$222$	19.8764	+	14.4410i	1.33401	+	0.969218i
$223$	0.233296	−	0.718012i	0.0156227	−	0.0480816i	−0.942941	−	0.332959i	$-0.891953\pi$
$223$	0.233296	−	0.718012i	0.0156227	−	0.0480816i	0.958564	+	0.284877i	$0.0919529\pi$
$224$	−18.6935	−	57.5326i	−1.24901	−	3.84406i
$225$	−0.809017	+	0.587785i	−0.0539345	+	0.0391857i
$226$	−0.318592	+	0.231470i	−0.0211924	+	0.0153972i
$227$	2.55989	+	7.87855i	0.169906	+	0.522917i	0.999364	−	0.0356515i	$-0.0113506\pi$
$227$	2.55989	+	7.87855i	0.169906	+	0.522917i	−0.829458	+	0.558569i	$0.811351\pi$
$228$	8.24999	−	25.3909i	0.546369	−	1.68155i
$229$	2.32691	+	1.69060i	0.153767	+	0.111718i	0.662008	−	0.749496i	$-0.269704\pi$
$229$	2.32691	+	1.69060i	0.153767	+	0.111718i	−0.508242	+	0.861214i	$0.669704\pi$
$230$	2.34478			0.154610
$231$	0.239609	+	7.55011i	0.0157651	+	0.496761i
$232$	−27.1457			−1.78220
$233$	4.18964	+	3.04395i	0.274473	+	0.199416i	0.716503	−	0.697584i	$-0.245742\pi$
$233$	4.18964	+	3.04395i	0.274473	+	0.199416i	−0.442030	+	0.897000i	$0.645742\pi$
$234$	−0.373280	+	1.14884i	−0.0244021	+	0.0751019i
$235$	−0.144675	−	0.445265i	−0.00943757	−	0.0290459i
$236$	−18.1033	+	13.1528i	−1.17842	+	0.856176i
$237$	8.79457	−	6.38963i	0.571269	−	0.415051i
$238$	−9.75565	−	30.0248i	−0.632365	−	1.94622i
$239$	3.34751	−	10.3026i	0.216532	−	0.666418i	−0.782509	−	0.622640i	$-0.786060\pi$
$239$	3.34751	−	10.3026i	0.216532	−	0.666418i	0.999041	−	0.0437789i	$-0.0139397\pi$
$240$	13.7139	+	9.96371i	0.885227	+	0.643155i
$241$	−2.96526			−0.191009			−0.0955045	−	0.995429i	$-0.530446\pi$
$241$	−2.96526			−0.191009			−0.0955045	+	0.995429i	$0.530446\pi$
$242$	25.7574	+	16.3238i	1.65575	+	1.04933i
$243$	1.00000			0.0641500
$244$	−13.6396	−	9.90974i	−0.873185	−	0.634406i
$245$	0.560118	−	1.72386i	0.0357846	−	0.110134i
$246$	−3.67866	−	11.3218i	−0.234543	−	0.721849i
$247$	1.65541	−	1.20273i	0.105331	−	0.0765277i
$248$	38.5803	−	28.0302i	2.44985	−	1.77992i
$249$	−1.82953	−	5.63073i	−0.115942	−	0.356833i
$250$	−0.856664	+	2.63654i	−0.0541802	+	0.166749i
$251$	14.2504	+	10.3535i	0.899475	+	0.653507i	0.938331	−	0.345738i	$-0.112371\pi$
$251$	14.2504	+	10.3535i	0.899475	+	0.653507i	−0.0388560	+	0.999245i	$0.512371\pi$
$252$	−12.9486			−0.815685
$253$	0.0889816	+	2.80383i	0.00559422	+	0.176275i
$254$	−1.39640			−0.0876182
$255$	4.04508	+	2.93893i	0.253313	+	0.184043i
$256$	24.2895	−	74.7554i	1.51809	−	4.67221i
$257$	6.47845	+	19.9386i	0.404115	+	1.24374i	0.921632	+	0.388064i	$0.126856\pi$
$257$	6.47845	+	19.9386i	0.404115	+	1.24374i	−0.517518	+	0.855672i	$0.673144\pi$
$258$	−15.7065	+	11.4115i	−0.977846	+	0.710447i
$259$	−16.3299	+	11.8644i	−1.01469	+	0.737217i
$260$	0.765515	+	2.35601i	0.0474753	+	0.146114i
$261$	−0.821093	+	2.52706i	−0.0508244	+	0.156421i
$262$	−42.8590	−	31.1389i	−2.64784	−	1.92377i
$263$	8.43471			0.520107			0.260053	−	0.965594i	$-0.416260\pi$
$263$	8.43471			0.520107			0.260053	+	0.965594i	$0.416260\pi$
$264$	−19.0367	+	28.0302i	−1.17163	+	1.72514i
$265$	10.8386			0.665811
$266$	23.9875	+	17.4280i	1.47077	+	1.06858i
$267$	1.82307	−	5.61084i	0.111570	−	0.343378i
$268$	−4.34021	−	13.3578i	−0.265121	−	0.815958i
$269$	−7.80173	+	5.66829i	−0.475680	+	0.345601i	−0.799651	−	0.600466i	$-0.794982\pi$
$269$	−7.80173	+	5.66829i	−0.475680	+	0.345601i	0.323971	+	0.946067i	$0.394982\pi$
$270$	2.24278	−	1.62947i	0.136491	−	0.0991665i
$271$	3.16056	+	9.72719i	0.191990	+	0.590885i	0.999999	+	0.00171395i	$0.000545568\pi$
$271$	3.16056	+	9.72719i	0.191990	+	0.590885i	−0.808008	+	0.589171i	$0.799454\pi$
$272$	26.1912	−	80.6081i	1.58807	−	4.88759i
$273$	−0.802893	−	0.583336i	−0.0485933	−	0.0353051i
$274$	34.2225			2.06746
$275$	−3.18522	−	0.924324i	−0.192076	−	0.0557388i
$276$	−4.80862			−0.289445
$277$	4.72388	+	3.43210i	0.283830	+	0.206215i	0.720586	−	0.693365i	$-0.243873\pi$
$277$	4.72388	+	3.43210i	0.283830	+	0.206215i	−0.436756	+	0.899580i	$0.643873\pi$
$278$	−6.62403	+	20.3867i	−0.397283	+	1.22271i
$279$	−1.44244	−	4.43939i	−0.0863569	−	0.265779i
$280$	−18.8246	+	13.6768i	−1.12498	+	0.817348i
$281$	−11.6611	+	8.47225i	−0.695640	+	0.505412i	−0.878509	−	0.477725i	$-0.841461\pi$
$281$	−11.6611	+	8.47225i	−0.695640	+	0.505412i	0.182869	+	0.983137i	$0.441461\pi$
$282$	0.401072	+	1.23437i	0.0238835	+	0.0735058i
$283$	−3.28592	+	10.1130i	−0.195327	+	0.601156i	0.804645	+	0.593756i	$0.202356\pi$
$283$	−3.28592	+	10.1130i	−0.195327	+	0.601156i	−0.999973	+	0.00740011i	$0.997644\pi$
$284$	52.0380	+	37.8078i	3.08789	+	2.24348i
$285$	−4.69596			−0.278164
$286$	−3.76908	+	1.35827i	−0.222870	+	0.0803161i
$287$	9.78037			0.577317
$288$	−21.4877	−	15.6117i	−1.26617	−	0.919929i
$289$	2.47214	−	7.60845i	0.145420	−	0.447556i
$290$	2.27625	+	7.00558i	0.133666	+	0.411382i
$291$	6.99640	−	5.08318i	0.410136	−	0.297982i
$292$	−38.7691	+	28.1674i	−2.26879	+	1.64837i
$293$	−2.59443	−	7.98484i	−0.151568	−	0.466479i	0.846229	−	0.532820i	$-0.178868\pi$
$293$	−2.59443	−	7.98484i	−0.151568	−	0.466479i	−0.997797	+	0.0663405i	$0.978868\pi$
$294$	−1.55277	+	4.77894i	−0.0905594	+	0.278713i
$295$	3.18428	+	2.31351i	0.185396	+	0.134698i
$296$	−90.5404			−5.26256
$297$	2.03359	+	2.62002i	0.118001	+	0.152029i
$298$	21.0937			1.22193
$299$	−0.298164	−	0.216629i	−0.0172433	−	0.0125280i
$300$	1.75683	−	5.40697i	0.101431	−	0.312171i
$301$	−4.92893	−	15.1697i	−0.284099	−	0.874366i
$302$	5.99774	−	4.35762i	0.345131	−	0.250753i
$303$	4.59624	−	3.33936i	0.264047	−	0.191841i
$304$	24.5985	+	75.7065i	1.41082	+	4.34206i
$305$	−0.916387	+	2.82035i	−0.0524721	+	0.161493i
$306$	−11.2139	−	8.14736i	−0.641055	−	0.465753i
$307$	4.51902			0.257914			0.128957	−	0.991650i	$-0.458837\pi$
$307$	4.51902			0.257914			0.128957	+	0.991650i	$0.458837\pi$
$308$	−26.3322	−	33.9256i	−1.50042	−	1.93309i
$309$	−1.29613			−0.0737343
$310$	−10.4689	−	7.60613i	−0.594596	−	0.431999i
$311$	7.41548	−	22.8225i	0.420493	−	1.29415i	−0.486751	−	0.873541i	$-0.661818\pi$
$311$	7.41548	−	22.8225i	0.420493	−	1.29415i	0.907244	−	0.420604i	$-0.138182\pi$
$312$	−1.37562	−	4.23372i	−0.0778791	−	0.239687i
$313$	20.9281	−	15.2052i	1.18293	−	0.859448i	0.190430	−	0.981701i	$-0.439012\pi$
$313$	20.9281	−	15.2052i	1.18293	−	0.859448i	0.992499	+	0.122253i	$0.0390118\pi$
$314$	−45.3040	+	32.9153i	−2.55665	+	1.85752i
$315$	0.703814	+	2.16612i	0.0396554	+	0.122047i
$316$	−19.0979	+	58.7774i	−1.07434	+	3.30649i
$317$	−2.34873	−	1.70645i	−0.131918	−	0.0958441i	0.519869	−	0.854246i	$-0.325981\pi$
$317$	−2.34873	−	1.70645i	−0.131918	−	0.0958441i	−0.651787	+	0.758402i	$0.725981\pi$
$318$	−30.0471			−1.68496
$319$	−8.29072	+	2.98774i	−0.464191	+	0.167281i
$320$	−39.7283			−2.22088
$321$	9.87063	+	7.17143i	0.550925	+	0.400270i
$322$	1.65029	−	5.07906i	0.0919669	−	0.283045i
$323$	7.25565	+	22.3306i	0.403715	+	1.24251i
$324$	−4.59944	+	3.34169i	−0.255524	+	0.185649i
$325$	0.352519	−	0.256120i	0.0195542	−	0.0142070i
$326$	−8.39172	−	25.8271i	−0.464775	−	1.43043i
$327$	−3.75900	+	11.5690i	−0.207873	+	0.639767i
$328$	35.4919	+	25.7863i	1.95971	+	1.42381i
$329$	−1.06632			−0.0587881
$330$	8.83014	+	2.56243i	0.486083	+	0.141057i
$331$	10.9837			0.603720			0.301860	−	0.953352i	$-0.402392\pi$
$331$	10.9837			0.603720			0.301860	+	0.953352i	$0.402392\pi$
$332$	27.2310	+	19.7845i	1.49449	+	1.08581i
$333$	−2.73863	+	8.42864i	−0.150076	+	0.461886i
$334$	21.9114	+	67.4364i	1.19894	+	3.68996i
$335$	−1.99866	+	1.45211i	−0.109199	+	0.0793374i
$336$	31.2346	−	22.6933i	1.70399	−	1.23802i
$337$	3.96968	+	12.2174i	0.216242	+	0.665525i	0.999063	+	0.0432780i	$0.0137801\pi$
$337$	3.96968	+	12.2174i	0.216242	+	0.665525i	−0.782821	+	0.622247i	$0.786220\pi$
$338$	−10.9740	+	33.7744i	−0.596906	+	1.83709i
$339$	−0.114923	−	0.0834963i	−0.00624175	−	0.00453490i
$340$	−28.4261			−1.54162
$341$	8.69793	−	12.8071i	0.471020	−	0.693545i
$342$	13.0182			0.703946
$343$	−16.2381	−	11.7977i	−0.876777	−	0.637016i
$344$	22.1090	−	68.0444i	1.19204	−	3.66871i
$345$	0.261370	+	0.804414i	0.0140717	+	0.0433082i
$346$	15.1478	−	11.0056i	0.814353	−	0.591662i
$347$	1.52881	−	1.11074i	0.0820707	−	0.0596279i	−0.545993	−	0.837790i	$-0.683848\pi$
$347$	1.52881	−	1.11074i	0.0820707	−	0.0596279i	0.628064	+	0.778162i	$0.283848\pi$
$348$	−4.66809	−	14.3669i	−0.250236	−	0.770147i
$349$	7.34802	−	22.6149i	0.393330	−	1.21055i	−0.536924	−	0.843631i	$-0.680414\pi$
$349$	7.34802	−	22.6149i	0.393330	−	1.21055i	0.930254	−	0.366915i	$-0.119586\pi$
$350$	5.10813	+	3.71127i	0.273041	+	0.198376i
$351$	−0.435737			−0.0232579
$352$	−2.79421	−	88.0460i	−0.148932	−	4.69287i
$353$	−20.2294			−1.07670			−0.538352	−	0.842720i	$-0.680953\pi$
$353$	−20.2294			−1.07670			−0.538352	+	0.842720i	$0.680953\pi$
$354$	−8.82752	−	6.41357i	−0.469177	−	0.340877i
$355$	3.49622	−	10.7602i	0.185560	−	0.571094i
$356$	10.3646	+	31.8988i	0.549321	+	1.69063i
$357$	9.21305	−	6.69367i	0.487606	−	0.354267i
$358$	−14.6273	+	10.6273i	−0.773075	+	0.561672i
$359$	−5.74455	−	17.6799i	−0.303186	−	0.933109i	−0.980348	−	0.197276i	$-0.936791\pi$
$359$	−5.74455	−	17.6799i	−0.303186	−	0.933109i	0.677162	−	0.735834i	$-0.263209\pi$
$360$	−3.15700	+	9.71623i	−0.166388	+	0.512090i
$361$	−2.46912	−	1.79392i	−0.129954	−	0.0944170i
$362$	38.1241			2.00376
$363$	−2.72900	+	10.6561i	−0.143235	+	0.559300i
$364$	5.64219			0.295731
$365$	6.81929	+	4.95450i	0.356938	+	0.259330i
$366$	2.54043	−	7.81863i	0.132790	−	0.408687i
$367$	1.82571	+	5.61894i	0.0953010	+	0.293306i	0.987332	−	0.158668i	$-0.0507199\pi$
$367$	1.82571	+	5.61894i	0.0953010	+	0.293306i	−0.892031	+	0.451974i	$0.850720\pi$
$368$	11.5993	−	8.42742i	0.604658	−	0.439310i
$369$	3.47406	−	2.52405i	0.180852	−	0.131397i
$370$	7.59209	+	23.3661i	0.394694	+	1.21474i
$371$	7.62838	−	23.4777i	0.396046	−	1.21890i
$372$	21.4695	+	15.5985i	1.11314	+	0.808744i
$373$	−1.66992			−0.0864650			−0.0432325	−	0.999065i	$-0.513766\pi$
$373$	−1.66992			−0.0864650			−0.0432325	+	0.999065i	$0.513766\pi$
$374$	−1.45823	−	45.9490i	−0.0754031	−	2.37597i
$375$	−1.00000			−0.0516398
$376$	−3.86956	−	2.81140i	−0.199557	−	0.144987i
$377$	0.357780	−	1.10113i	0.0184266	−	0.0567113i
$378$	−1.95113	−	6.00496i	−0.100355	−	0.308862i
$379$	−6.82420	+	4.95807i	−0.350536	+	0.254679i	−0.749094	−	0.662464i	$-0.769511\pi$
$379$	−6.82420	+	4.95807i	−0.350536	+	0.254679i	0.398558	+	0.917143i	$0.369511\pi$
$380$	21.5988	−	15.6924i	1.10799	−	0.805004i
$381$	−0.155656	−	0.479059i	−0.00797449	−	0.0245430i
$382$	−16.6502	+	51.2439i	−0.851896	+	2.62187i
$383$	−17.7025	−	12.8616i	−0.904558	−	0.657199i	0.0350750	−	0.999385i	$-0.488833\pi$
$383$	−17.7025	−	12.8616i	−0.904558	−	0.657199i	−0.939633	+	0.342185i	$0.888833\pi$
$384$	57.0153			2.90955
$385$	−4.24400	+	6.24901i	−0.216294	+	0.318479i
$386$	62.6865			3.19066
$387$	−5.66568	−	4.11636i	−0.288003	−	0.209246i
$388$	−15.1931	+	46.7596i	−0.771314	+	2.37386i
$389$	−0.121163	−	0.372902i	−0.00614322	−	0.0189069i	0.947938	−	0.318455i	$-0.103164\pi$
$389$	−0.121163	−	0.372902i	−0.00614322	−	0.0189069i	−0.954081	+	0.299548i	$0.903164\pi$
$390$	−0.977260	+	0.710021i	−0.0494855	+	0.0359533i
$391$	3.42138	−	2.48578i	0.173027	−	0.125711i
$392$	−5.72230	−	17.6114i	−0.289020	−	0.889512i
$393$	5.90526	−	18.1745i	0.297881	−	0.916783i
$394$	−51.6511	−	37.5267i	−2.60215	−	1.89057i
$395$	10.8707			0.546963
$396$	−18.1087	−	5.25499i	−0.909995	−	0.264073i
$397$	35.7823			1.79586			0.897932	−	0.440134i	$-0.145069\pi$
$397$	35.7823			1.79586			0.897932	+	0.440134i	$0.145069\pi$
$398$	44.0068	+	31.9728i	2.20586	+	1.60265i
$399$	−3.30508	+	10.1720i	−0.165461	+	0.509237i
$400$	5.23823	+	16.1216i	0.261912	+	0.806081i
$401$	−24.6074	+	17.8783i	−1.22884	+	0.892802i	−0.996802	−	0.0799056i	$-0.974538\pi$
$401$	−24.6074	+	17.8783i	−1.22884	+	0.892802i	−0.232034	+	0.972708i	$0.574538\pi$
$402$	5.54073	−	4.02558i	0.276347	−	0.200778i
$403$	0.628526	+	1.93440i	0.0313091	+	0.0963596i
$404$	−9.98101	+	30.7184i	−0.496574	+	1.52830i
$405$	0.809017	+	0.587785i	0.0402004	+	0.0292073i
$406$	16.7770			0.832627
$407$	−27.6524	+	9.96515i	−1.37068	+	0.493954i
$408$	51.0813			2.52890
$409$	13.1625	+	9.56310i	0.650843	+	0.472865i	0.863558	−	0.504249i	$-0.168231\pi$
$409$	13.1625	+	9.56310i	0.650843	+	0.472865i	−0.212715	+	0.977114i	$0.568231\pi$
$410$	3.67866	−	11.3218i	0.181676	−	0.559142i
$411$	3.81475	+	11.7406i	0.188168	+	0.579120i
$412$	5.96147	−	4.33126i	0.293701	−	0.213386i
$413$	7.25248	−	5.26923i	0.356871	−	0.259282i
$414$	−0.724576	−	2.23002i	−0.0356110	−	0.109599i
$415$	1.82953	−	5.63073i	0.0898083	−	0.276402i
$416$	9.36298	+	6.80260i	0.459058	+	0.333525i
$417$	−7.73236			−0.378655
$418$	26.4738	+	34.1080i	1.29488	+	1.66828i
$419$	−40.0703			−1.95756			−0.978781	−	0.204910i	$-0.934310\pi$
$419$	−40.0703			−1.95756			−0.978781	+	0.204910i	$0.934310\pi$
$420$	−10.4756	−	7.61100i	−0.511159	−	0.371379i
$421$	−5.99316	+	18.4450i	−0.292089	+	0.898956i	0.692095	+	0.721806i	$0.256688\pi$
$421$	−5.99316	+	18.4450i	−0.292089	+	0.898956i	−0.984184	+	0.177150i	$0.943312\pi$
$422$	0.0427691	+	0.131630i	0.00208197	+	0.00640764i
$423$	−0.378765	+	0.275189i	−0.0184162	+	0.0133801i
$424$	89.5825	−	65.0855i	4.35051	−	3.16083i
$425$	1.54508	+	4.75528i	0.0749476	+	0.230665i
$426$	−9.69229	+	29.8298i	−0.469593	+	1.44526i
$427$	5.46424	+	3.97000i	0.264433	+	0.192122i
$428$	−69.3640			−3.35284
$429$	−0.886111	−	1.14164i	−0.0427819	−	0.0551188i
$430$	−19.4143			−0.936243
$431$	−27.4616	−	19.9520i	−1.32278	−	0.961056i	−0.999893	−	0.0146183i	$-0.995347\pi$
$431$	−27.4616	−	19.9520i	−1.32278	−	0.961056i	−0.322887	−	0.946438i	$-0.604653\pi$
$432$	5.23823	−	16.1216i	0.252025	−	0.775652i
$433$	−4.05291	−	12.4736i	−0.194770	−	0.599442i	−0.999979	−	0.00645020i	$-0.997947\pi$
$433$	−4.05291	−	12.4736i	−0.194770	−	0.599442i	0.805209	−	0.592991i	$-0.202053\pi$
$434$	−23.8440	+	17.3236i	−1.14455	+	0.831562i
$435$	−2.14965	+	1.56181i	−0.103068	+	0.0748831i
$436$	−21.3707	−	65.7723i	−1.02347	−	3.14992i
$437$	−1.22738	+	3.77749i	−0.0587136	+	0.180702i
$438$	−18.9046	−	13.7350i	−0.903296	−	0.656283i
$439$	−9.64731			−0.460441			−0.230220	−	0.973138i	$-0.573945\pi$
$439$	−9.64731			−0.460441			−0.230220	+	0.973138i	$0.573945\pi$
$440$	−31.8768	+	11.4875i	−1.51966	+	0.547644i
$441$	−1.81258			−0.0863133
$442$	4.88630	+	3.55010i	0.232418	+	0.168861i
$443$	−2.75461	+	8.47781i	−0.130875	+	0.402793i	−0.994926	−	0.100613i	$-0.967920\pi$
$443$	−2.75461	+	8.47781i	−0.130875	+	0.402793i	0.864050	+	0.503405i	$0.167920\pi$
$444$	−15.5697	−	47.9187i	−0.738906	−	2.27412i
$445$	4.77286	−	3.46769i	0.226255	−	0.164384i
$446$	−1.69321	+	1.23019i	−0.0801759	+	0.0582512i
$447$	2.35130	+	7.23654i	0.111212	+	0.342277i
$448$	−27.9614	+	86.0562i	−1.32105	+	4.06578i
$449$	10.0616	+	7.31019i	0.474837	+	0.344989i	0.799323	−	0.600901i	$-0.205191\pi$
$449$	10.0616	+	7.31019i	0.474837	+	0.344989i	−0.324487	+	0.945890i	$0.605191\pi$
$450$	2.77222			0.130684
$451$	13.6779	+	3.96921i	0.644066	+	0.186903i
$452$	0.807599			0.0379863
$453$	2.16351	+	1.57188i	0.101651	+	0.0738536i
$454$	7.09660	−	21.8411i	0.333060	−	1.02505i
$455$	−0.306678	−	0.943857i	−0.0143773	−	0.0442487i
$456$	−38.8126	+	28.1990i	−1.81757	+	1.32054i
$457$	30.8707	−	22.4289i	1.44407	−	1.04918i	0.456898	−	0.889519i	$-0.348960\pi$
$457$	30.8707	−	22.4289i	1.44407	−	1.04918i	0.987172	−	0.159659i	$-0.0510395\pi$
$458$	−2.46395	−	7.58327i	−0.115133	−	0.354343i
$459$	1.54508	−	4.75528i	0.0721184	−	0.221958i
$460$	−3.89026	−	2.82644i	−0.181384	−	0.131783i
$461$	34.3847			1.60145			0.800726	−	0.599030i	$-0.204447\pi$
$461$	34.3847			1.60145			0.800726	+	0.599030i	$0.204447\pi$
$462$	11.7653	−	17.3236i	0.547372	−	0.805969i
$463$	−40.2561			−1.87086			−0.935430	−	0.353511i	$-0.884988\pi$
$463$	−40.2561			−1.87086			−0.935430	+	0.353511i	$0.884988\pi$
$464$	36.4393	+	26.4747i	1.69165	+	1.22906i
$465$	1.44244	−	4.43939i	0.0668918	−	0.205872i
$466$	−4.43639	−	13.6538i	−0.205512	−	0.632501i
$467$	−12.2292	+	8.88502i	−0.565899	+	0.411150i	−0.833613	−	0.552349i	$-0.813732\pi$
$467$	−12.2292	+	8.88502i	−0.565899	+	0.411150i	0.267714	+	0.963498i	$0.413732\pi$
$468$	2.00415	−	1.45610i	0.0926417	−	0.0673081i
$469$	1.73876	+	5.35135i	0.0802885	+	0.247102i
$470$	−0.401072	+	1.23437i	−0.0185001	+	0.0569374i
$471$	−16.3421	−	11.8732i	−0.753005	−	0.547090i
$472$	40.2110			1.85086
$473$	−0.736752	−	23.2152i	−0.0338759	−	1.06744i
$474$	−30.1360			−1.38419
$475$	−3.79911	−	2.76021i	−0.174315	−	0.126647i
$476$	−20.0067	+	61.5743i	−0.917005	+	2.82225i
$477$	−3.34932	−	10.3081i	−0.153355	−	0.471977i
$478$	−24.2955	+	17.6517i	−1.11125	+	0.807370i
$479$	23.3033	−	16.9308i	1.06476	−	0.773590i	0.0897931	−	0.995960i	$-0.471379\pi$
$479$	23.3033	−	16.9308i	1.06476	−	0.773590i	0.974962	+	0.222370i	$0.0713794\pi$
$480$	−8.20756	−	25.2603i	−0.374622	−	1.15297i
$481$	1.19332	−	3.67267i	0.0544108	−	0.167459i
$482$	6.65040	+	4.83180i	0.302918	+	0.220083i
$483$	1.92641			0.0876548
$484$	−23.0575	−	58.1316i	−1.04807	−	2.64234i
$485$	8.64803			0.392687
$486$	−2.24278	−	1.62947i	−0.101734	−	0.0739143i
$487$	8.91592	−	27.4404i	0.404019	−	1.24344i	−0.517693	−	0.855567i	$-0.673209\pi$
$487$	8.91592	−	27.4404i	0.404019	−	1.24344i	0.921712	−	0.387876i	$-0.126791\pi$
$488$	9.36204	+	28.8134i	0.423799	+	1.30432i
$489$	7.92498	−	5.75784i	0.358380	−	0.260378i
$490$	−4.06521	+	2.95355i	−0.183647	+	0.133428i
$491$	−4.61569	−	14.2056i	−0.208303	−	0.641092i	−0.999562	−	0.0296097i	$-0.990574\pi$
$491$	−4.61569	−	14.2056i	−0.208303	−	0.641092i	0.791258	−	0.611482i	$-0.209426\pi$
$492$	−7.54413	+	23.2184i	−0.340116	+	1.04677i
$493$	10.7482	+	7.80906i	0.484076	+	0.351702i
$494$	−5.67253			−0.255219
$495$	0.105203	+	3.31496i	0.00472851	+	0.148996i
$496$	−79.1260			−3.55286
$497$	−20.8473	−	15.1464i	−0.935128	−	0.679410i
$498$	−5.07188	+	15.6096i	−0.227276	+	0.699484i
$499$	6.85987	+	21.1125i	0.307090	+	0.945125i	0.978889	+	0.204392i	$0.0655218\pi$
$499$	6.85987	+	21.1125i	0.307090	+	0.945125i	−0.671799	+	0.740733i	$0.734478\pi$
$500$	4.59944	−	3.34169i	0.205693	−	0.149445i
$501$	−20.6927	+	15.0341i	−0.924483	+	0.671676i
$502$	−15.0896	−	46.4411i	−0.673484	−	2.07277i
$503$	0.0480077	−	0.147752i	0.00214056	−	0.00658795i	−0.949981	−	0.312309i	$-0.898898\pi$
$503$	0.0480077	−	0.147752i	0.00214056	−	0.00658795i	0.952121	+	0.305721i	$0.0988975\pi$
$504$	18.8246	+	13.6768i	0.838513	+	0.609215i
$505$	5.68126			0.252813
$506$	4.36919	−	6.43335i	0.194234	−	0.285997i
$507$	−12.8101			−0.568918
$508$	2.31680	+	1.68325i	0.102791	+	0.0746822i
$509$	−5.75932	+	17.7254i	−0.255277	+	0.785663i	0.738498	+	0.674256i	$0.235536\pi$
$509$	−5.75932	+	17.7254i	−0.255277	+	0.785663i	−0.993775	+	0.111407i	$0.964464\pi$
$510$	−4.28332	−	13.1827i	−0.189669	−	0.583740i
$511$	15.5315	−	11.2843i	0.687075	−	0.499189i
$512$	−84.0350	+	61.0550i	−3.71386	+	2.69828i
$513$	1.45113	+	4.46612i	0.0640690	+	0.197184i
$514$	17.9597	−	55.2743i	0.792169	−	2.43804i
$515$	−1.04859	−	0.761846i	−0.0462065	−	0.0335710i
$516$	39.8145			1.75274
$517$	−1.49125	−	0.432749i	−0.0655852	−	0.0190323i
$518$	55.9571			2.45861
$519$	5.46415	+	3.96994i	0.239850	+	0.174261i
$520$	1.37562	−	4.23372i	0.0603249	−	0.185661i
$521$	9.69969	+	29.8526i	0.424951	+	1.30786i	0.903041	+	0.429554i	$0.141329\pi$
$521$	9.69969	+	29.8526i	0.424951	+	1.30786i	−0.478090	+	0.878311i	$0.658671\pi$
$522$	5.95930	−	4.32969i	0.260832	−	0.189505i
$523$	19.4036	−	14.0975i	0.848459	−	0.616442i	−0.0762616	−	0.997088i	$-0.524298\pi$
$523$	19.4036	−	14.0975i	0.848459	−	0.616442i	0.924721	+	0.380646i	$0.124298\pi$
$524$	33.5727	+	103.326i	1.46663	+	4.51382i
$525$	−0.703814	+	2.16612i	−0.0307170	+	0.0945371i
$526$	−18.9172	−	13.7441i	−0.824828	−	0.599272i
$527$	−23.3392			−1.01667
$528$	52.8914	−	19.0606i	2.30180	−	0.829504i
$529$	−22.2846			−0.968896
$530$	−24.3086	−	17.6612i	−1.05590	−	0.767154i
$531$	1.21629	−	3.74334i	0.0527823	−	0.162447i
$532$	−18.7901	−	57.8300i	−0.814655	−	2.50725i
$533$	−1.51378	+	1.09982i	−0.0655689	+	0.0476386i
$534$	−13.2314	+	9.61320i	−0.572580	+	0.416004i
$535$	3.77024	+	11.6036i	0.163002	+	0.501668i
$536$	−7.79929	+	24.0038i	−0.336878	+	1.03680i
$537$	−5.27637	−	3.83351i	−0.227692	−	0.165428i
$538$	26.7338			1.15258
$539$	−3.68605	−	4.74899i	−0.158769	−	0.204554i
$540$	−5.68522			−0.244653
$541$	−8.06851	−	5.86211i	−0.346892	−	0.252032i	0.400672	−	0.916222i	$-0.368777\pi$
$541$	−8.06851	−	5.86211i	−0.346892	−	0.252032i	−0.747564	+	0.664190i	$0.768777\pi$
$542$	8.76177	−	26.9660i	0.376350	−	1.15829i
$543$	4.24966	+	13.0791i	0.182370	+	0.561278i
$544$	−107.438	+	78.0586i	−4.60638	+	3.34673i
$545$	−9.84118	+	7.15004i	−0.421550	+	0.306274i
$546$	0.850179	+	2.61658i	0.0363843	+	0.111979i
$547$	−12.3659	+	38.0582i	−0.528726	+	1.62725i	0.228103	+	0.973637i	$0.426748\pi$
$547$	−12.3659	+	38.0582i	−0.528726	+	1.62725i	−0.756829	+	0.653614i	$0.773252\pi$
$548$	−56.7791	−	41.2524i	−2.42548	−	1.76222i
$549$	2.96549			0.126564
$550$	5.63757	+	7.26328i	0.240387	+	0.309707i
$551$	−12.4777			−0.531567
$552$	6.99073	+	5.07906i	0.297545	+	0.216179i
$553$	7.65094	−	23.5472i	0.325351	−	1.00133i
$554$	−5.00209	−	15.3948i	−0.212518	−	0.654064i
$555$	−7.16983	+	5.20918i	−0.304342	+	0.221118i
$556$	35.5645	−	25.8391i	1.50827	−	1.09582i
$557$	−2.39812	−	7.38064i	−0.101611	−	0.312728i	0.887309	−	0.461176i	$-0.152572\pi$
$557$	−2.39812	−	7.38064i	−0.101611	−	0.312728i	−0.988920	+	0.148448i	$0.952572\pi$
$558$	−3.99878	+	12.3070i	−0.169282	+	0.520996i
$559$	2.46875	+	1.79365i	0.104417	+	0.0758633i
$560$	38.6081			1.63149
$561$	15.6010	−	5.62216i	0.658675	−	0.237368i
$562$	39.9584			1.68554
$563$	−14.9146	−	10.8361i	−0.628577	−	0.456688i	0.227330	−	0.973818i	$-0.427000\pi$
$563$	−14.9146	−	10.8361i	−0.628577	−	0.456688i	−0.855907	+	0.517130i	$0.827000\pi$
$564$	0.822511	−	2.53143i	0.0346340	−	0.106592i
$565$	−0.0438966	−	0.135100i	−0.00184674	−	0.00568369i
$566$	23.8484	−	17.3269i	1.00242	−	0.728304i
$567$	1.84261	−	1.33873i	0.0773823	−	0.0562216i
$568$	−35.7182	−	109.929i	−1.49870	−	4.61253i
$569$	3.40658	−	10.4844i	0.142811	−	0.439528i	−0.853912	−	0.520418i	$-0.825776\pi$
$569$	3.40658	−	10.4844i	0.142811	−	0.439528i	0.996723	+	0.0808896i	$0.0257761\pi$
$570$	10.5320	+	7.65193i	0.441136	+	0.320504i
$571$	−38.1338			−1.59585			−0.797926	−	0.602756i	$-0.794069\pi$
$571$	−38.1338			−1.59585			−0.797926	+	0.602756i	$0.794069\pi$
$572$	7.89062	+	2.28979i	0.329923	+	0.0957410i
$573$	−19.4360			−0.811952
$574$	−21.9352	−	15.9368i	−0.915556	−	0.665191i
$575$	−0.261370	+	0.804414i	−0.0108999	+	0.0335464i
$576$	12.2767	+	37.7839i	0.511530	+	1.57433i
$577$	−8.90910	+	6.47284i	−0.370891	+	0.269468i	−0.757580	−	0.652742i	$-0.773618\pi$
$577$	−8.90910	+	6.47284i	−0.370891	+	0.269468i	0.386690	+	0.922210i	$0.373618\pi$
$578$	−17.9422	+	13.0358i	−0.746297	+	0.542217i
$579$	6.98760	+	21.5056i	0.290395	+	0.893743i
$580$	4.66809	−	14.3669i	0.193832	−	0.596553i
$581$	−10.9092	−	7.92597i	−0.452589	−	0.328825i
$582$	−23.9743			−0.993765
$583$	20.1964	−	29.7378i	0.836448	−	1.23162i
$584$	86.1138			3.56341
$585$	−0.352519	−	0.256120i	−0.0145748	−	0.0105892i
$586$	−7.19234	+	22.1358i	−0.297113	+	0.914420i
$587$	3.65999	+	11.2643i	0.151064	+	0.464927i	0.997741	−	0.0671803i	$-0.0214003\pi$
$587$	3.65999	+	11.2643i	0.151064	+	0.464927i	−0.846677	+	0.532107i	$0.821400\pi$
$588$	8.33685	−	6.05707i	0.343806	−	0.249790i
$589$	17.7337	−	12.8843i	0.730703	−	0.530887i
$590$	−3.37181	−	10.3774i	−0.138815	−	0.427230i
$591$	7.11666	−	21.9028i	0.292740	−	0.900962i
$592$	121.538	+	88.3024i	4.99517	+	3.62920i
$593$	9.25062			0.379877			0.189939	−	0.981796i	$-0.439171\pi$
$593$	9.25062			0.379877			0.189939	+	0.981796i	$0.439171\pi$
$594$	−0.291645	−	9.18980i	−0.0119663	−	0.377062i
$595$	11.3880			0.466861
$596$	−34.9969	−	25.4267i	−1.43353	−	1.04152i
$597$	−6.06340	+	18.6612i	−0.248158	+	0.763753i
$598$	0.315724	+	0.971700i	0.0129109	+	0.0397358i
$599$	−19.1603	+	13.9208i	−0.782868	+	0.568787i	−0.905838	−	0.423624i	$-0.860758\pi$
$599$	−19.1603	+	13.9208i	−0.782868	+	0.568787i	0.122971	+	0.992410i	$0.460758\pi$
$600$	−8.26512	+	6.00496i	−0.337422	+	0.245152i
$601$	11.2090	+	34.4978i	0.457225	+	1.40719i	0.868503	+	0.495684i	$0.165083\pi$
$601$	11.2090	+	34.4978i	0.457225	+	1.40719i	−0.411278	+	0.911510i	$0.634917\pi$
$602$	−13.6641	+	42.0537i	−0.556907	+	1.71398i
$603$	1.99866	+	1.45211i	0.0813918	+	0.0591346i
$604$	−15.2037			−0.618630
$605$	−8.47131	+	7.01690i	−0.344408	+	0.285278i
$606$	−15.7497			−0.639789
$607$	19.8264	+	14.4047i	0.804728	+	0.584669i	0.912297	−	0.409528i	$-0.134307\pi$
$607$	19.8264	+	14.4047i	0.804728	+	0.584669i	−0.107569	+	0.994198i	$0.534307\pi$
$608$	38.5424	−	118.621i	1.56310	−	4.81072i
$609$	1.87011	+	5.75562i	0.0757808	+	0.233229i
$610$	6.65093	−	4.83218i	0.269288	−	0.195649i
$611$	0.165042	−	0.119910i	0.00667688	−	0.00485103i
$612$	8.78415	+	27.0348i	0.355078	+	1.09282i
$613$	1.43538	−	4.41763i	0.0579743	−	0.178427i	−0.917876	−	0.396868i	$-0.870097\pi$
$613$	1.43538	−	4.41763i	0.0579743	−	0.178427i	0.975850	+	0.218441i	$0.0700972\pi$
$614$	−10.1351	−	7.36361i	−0.409021	−	0.297171i
$615$	4.29417			0.173158
$616$	2.44790	+	77.1339i	0.0986288	+	3.10781i
$617$	41.7419			1.68047			0.840233	−	0.542226i	$-0.182418\pi$
$617$	41.7419			1.68047			0.840233	+	0.542226i	$0.182418\pi$
$618$	2.90693	+	2.11201i	0.116934	+	0.0849574i
$619$	−13.6592	+	42.0385i	−0.549008	+	1.68967i	0.162258	+	0.986748i	$0.448122\pi$
$619$	−13.6592	+	42.0385i	−0.549008	+	1.68967i	−0.711266	+	0.702923i	$0.751878\pi$
$620$	8.20061	+	25.2389i	0.329345	+	1.01362i
$621$	0.684276	−	0.497155i	0.0274590	−	0.0199502i
$622$	−53.8199	+	39.1024i	−2.15798	+	1.56786i
$623$	−4.15221	−	12.7792i	−0.166355	−	0.511987i
$624$	−2.28249	+	7.02479i	−0.0913728	+	0.281217i
$625$	−0.809017	−	0.587785i	−0.0323607	−	0.0235114i
$626$	−71.7136			−2.86625
$627$	−8.75031	+	12.8843i	−0.349454	+	0.514548i
$628$	114.841			4.58267
$629$	35.8491	+	26.0459i	1.42940	+	1.03852i
$630$	1.95113	−	6.00496i	0.0777349	−	0.239243i
$631$	−4.98015	−	15.3273i	−0.198257	−	0.610171i	−0.999923	−	0.0123995i	$-0.996053\pi$
$631$	−4.98015	−	15.3273i	−0.198257	−	0.610171i	0.801667	−	0.597771i	$-0.203947\pi$
$632$	89.8475	−	65.2780i	3.57394	−	2.59662i
$633$	−0.0403903	+	0.0293453i	−0.00160537	+	0.00116637i
$634$	2.48706	+	7.65439i	0.0987739	+	0.303995i
$635$	0.155656	−	0.479059i	0.00617701	−	0.0190109i
$636$	49.8516	+	36.2193i	1.97674	+	1.43619i
$637$	0.789807			0.0312933
$638$	23.4627	+	6.80867i	0.928896	+	0.269558i
$639$	−11.3140			−0.447575
$640$	46.1264	+	33.5128i	1.82330	+	1.32471i
$641$	−2.84600	+	8.75909i	−0.112410	+	0.345963i	−0.991398	−	0.130881i	$-0.958219\pi$
$641$	−2.84600	+	8.75909i	−0.112410	+	0.345963i	0.878988	+	0.476844i	$0.158219\pi$
$642$	−10.4520	−	32.1678i	−0.412506	−	1.26956i
$643$	−3.24845	+	2.36014i	−0.128106	+	0.0930747i	−0.649993	−	0.759940i	$-0.725228\pi$
$643$	−3.24845	+	2.36014i	−0.128106	+	0.0930747i	0.521887	+	0.853015i	$0.325228\pi$
$644$	−8.86041	+	6.43747i	−0.349149	+	0.253672i
$645$	−2.16410	−	6.66041i	−0.0852113	−	0.262253i
$646$	20.1143	−	61.9054i	0.791386	−	2.43564i
$647$	−11.5441	−	8.38728i	−0.453846	−	0.329738i	0.337267	−	0.941409i	$-0.390498\pi$
$647$	−11.5441	−	8.38728i	−0.453846	−	0.329738i	−0.791112	+	0.611671i	$0.790498\pi$
$648$	10.2163			0.401332
$649$	12.2811	−	4.42574i	0.482073	−	0.173726i
$650$	−1.20796			−0.0473801
$651$	−8.60102	−	6.24901i	−0.337101	−	0.244918i
$652$	−17.2096	+	52.9656i	−0.673979	+	2.07429i
$653$	−2.01532	−	6.20252i	−0.0788656	−	0.242723i	0.903849	−	0.427852i	$-0.140730\pi$
$653$	−2.01532	−	6.20252i	−0.0788656	−	0.242723i	−0.982714	+	0.185129i	$0.940730\pi$
$654$	27.2819	−	19.8215i	1.06681	−	0.775082i
$655$	15.4602	−	11.2325i	0.604078	−	0.438889i
$656$	−22.4939	−	69.2291i	−0.878239	−	2.70294i
$657$	2.60474	−	8.01655i	0.101620	−	0.312755i
$658$	2.39152	+	1.73754i	0.0932311	+	0.0677363i
$659$	6.74928			0.262915			0.131457	−	0.991322i	$-0.458034\pi$
$659$	6.74928			0.262915			0.131457	+	0.991322i	$0.458034\pi$
$660$	−11.5614	−	14.8954i	−0.450028	−	0.579802i
$661$	9.65248			0.375438			0.187719	−	0.982223i	$-0.439891\pi$
$661$	9.65248			0.375438			0.187719	+	0.982223i	$0.439891\pi$
$662$	−24.6340	−	17.8977i	−0.957429	−	0.695613i
$663$	−0.673251	+	2.07205i	−0.0261469	+	0.0804718i
$664$	−18.6910	−	57.5249i	−0.725351	−	2.23240i
$665$	−8.65282	+	6.28664i	−0.335542	+	0.243785i
$666$	19.8764	−	14.4410i	0.770193	−	0.559578i
$667$	0.694489	+	2.13742i	0.0268907	+	0.0827612i
$668$	44.9355	−	138.297i	1.73861	−	5.35088i
$669$	−0.610777	−	0.443756i	−0.0236140	−	0.0171566i
$670$	6.84872			0.264589
$671$	6.03060	+	7.76964i	0.232809	+	0.299944i
$672$	−60.4934			−2.33358
$673$	22.9433	+	16.6693i	0.884398	+	0.642553i	0.934411	−	0.356196i	$-0.115926\pi$
$673$	22.9433	+	16.6693i	0.884398	+	0.642553i	−0.0500135	+	0.998749i	$0.515926\pi$
$674$	11.0048	−	33.8694i	0.423891	−	1.30460i
$675$	0.309017	+	0.951057i	0.0118941	+	0.0366062i
$676$	58.9194	−	42.8075i	2.26613	−	1.64644i
$677$	4.11544	−	2.99004i	0.158169	−	0.114917i	−0.505885	−	0.862601i	$-0.668834\pi$
$677$	4.11544	−	2.99004i	0.158169	−	0.114917i	0.664055	+	0.747684i	$0.268834\pi$
$678$	0.121691	+	0.374527i	0.00467352	+	0.0143836i
$679$	6.08661	−	18.7327i	0.233583	−	0.718893i
$680$	41.3256	+	30.0248i	1.58476	+	1.15140i
$681$	8.28399			0.317443
$682$	−40.3764	+	14.5505i	−1.54609	+	0.557167i
$683$	17.3612			0.664310			0.332155	−	0.943225i	$-0.392224\pi$
$683$	17.3612			0.664310			0.332155	+	0.943225i	$0.392224\pi$
$684$	−21.5988	−	15.6924i	−0.825849	−	0.600015i
$685$	−3.81475	+	11.7406i	−0.145754	+	0.448585i
$686$	17.1945	+	52.9192i	0.656489	+	2.02046i
$687$	2.32691	−	1.69060i	0.0887772	−	0.0645004i
$688$	−96.0406	+	69.7776i	−3.66151	+	2.66024i
$689$	1.45942	+	4.49164i	0.0555995	+	0.171118i
$690$	0.724576	−	2.23002i	0.0275841	−	0.0848952i
$691$	34.7708	+	25.2625i	1.32274	+	0.961029i	0.999894	+	0.0145791i	$0.00464085\pi$
$691$	34.7708	+	25.2625i	1.32274	+	0.961029i	0.322850	+	0.946450i	$0.395359\pi$
$692$	−38.3983			−1.45969
$693$	7.25463	+	2.10523i	0.275581	+	0.0799712i
$694$	−5.23870			−0.198858
$695$	−6.25561	−	4.54496i	−0.237289	−	0.172400i
$696$	−8.38849	+	25.8171i	−0.317965	+	0.978595i
$697$	−6.63486	−	20.4200i	−0.251313	−	0.773463i
$698$	−53.3302	+	38.7467i	−2.01858	+	1.46658i
$699$	4.18964	−	3.04395i	0.158467	−	0.115133i
$700$	−4.00134	−	12.3149i	−0.151236	−	0.465458i
$701$	−4.44621	+	13.6840i	−0.167931	+	0.516838i	−0.999240	−	0.0389718i	$-0.987592\pi$
$701$	−4.44621	+	13.6840i	−0.167931	+	0.516838i	0.831309	+	0.555810i	$0.187592\pi$
$702$	0.977260	+	0.710021i	0.0368843	+	0.0267980i
$703$	−41.6174			−1.56963
$704$	−74.0286	+	109.002i	−2.79006	+	4.10818i
$705$	−0.468179			−0.0176326
$706$	45.3701	+	32.9633i	1.70753	+	1.24059i
$707$	3.99855	−	12.3063i	0.150381	−	0.462825i
$708$	6.91485	+	21.2817i	0.259876	+	0.799816i
$709$	−41.4016	+	30.0800i	−1.55487	+	1.12968i	−0.614805	+	0.788680i	$0.710765\pi$
$709$	−41.4016	+	30.0800i	−1.55487	+	1.12968i	−0.940064	+	0.340998i	$0.889235\pi$
$710$	−25.3747	+	18.4358i	−0.952297	+	0.691884i
$711$	−3.35923	−	10.3386i	−0.125981	−	0.387729i
$712$	18.6250	−	57.3217i	0.698000	−	2.14822i
$713$	−3.19409	−	2.32065i	−0.119620	−	0.0869088i
$714$	−31.5700			−1.18148
$715$	−0.0458407	−	1.44445i	−0.00171434	−	0.0540193i
$716$	37.0787			1.38570
$717$	−8.76390	−	6.36734i	−0.327294	−	0.237793i
$718$	−15.9252	+	49.0126i	−0.594322	+	1.82913i
$719$	16.0803	+	49.4902i	0.599696	+	1.84567i	0.529806	+	0.848119i	$0.322265\pi$
$719$	16.0803	+	49.4902i	0.599696	+	1.84567i	0.0698891	+	0.997555i	$0.477735\pi$
$720$	13.7139	−	9.96371i	0.511086	−	0.371326i
$721$	−2.38826	+	1.73517i	−0.0889435	+	0.0646213i
$722$	2.61454	+	8.04673i	0.0973032	+	0.299468i
$723$	−0.916315	+	2.82013i	−0.0340781	+	0.104882i
$724$	−63.2523	−	45.9555i	−2.35075	−	1.70792i
$725$	−2.65711			−0.0986826
$726$	23.4844	−	19.4524i	0.871586	−	0.721947i
$727$	−18.2951			−0.678528			−0.339264	−	0.940691i	$-0.610178\pi$
$727$	−18.2951			−0.678528			−0.339264	+	0.940691i	$0.610178\pi$
$728$	−8.20256	−	5.95951i	−0.304007	−	0.220874i
$729$	0.309017	−	0.951057i	0.0114451	−	0.0352243i
$730$	−7.22091	−	22.2237i	−0.267258	−	0.822535i
$731$	−28.3284	+	20.5818i	−1.04776	+	0.761245i
$732$	−13.6396	+	9.90974i	−0.504134	+	0.366275i
$733$	11.5929	+	35.6792i	0.428192	+	1.31784i	0.899904	+	0.436088i	$0.143636\pi$
$733$	11.5929	+	35.6792i	0.428192	+	1.31784i	−0.471712	+	0.881753i	$0.656364\pi$
$734$	5.06126	−	15.5770i	0.186815	−	0.574956i
$735$	−1.46641	−	1.06541i	−0.0540892	−	0.0392981i
$736$	−22.4649			−0.828069
$737$	0.259901	+	8.18953i	0.00957358	+	0.301665i
$738$	−11.9044			−0.438207
$739$	22.0973	+	16.0546i	0.812863	+	0.590579i	0.914659	−	0.404226i	$-0.132459\pi$
$739$	22.0973	+	16.0546i	0.812863	+	0.590579i	−0.101796	+	0.994805i	$0.532459\pi$
$740$	15.5697	−	47.9187i	0.572354	−	1.76152i
$741$	−0.632311	−	1.94605i	−0.0232285	−	0.0714900i
$742$	−55.3650	+	40.2250i	−2.03251	+	1.47671i
$743$	−15.2284	+	11.0641i	−0.558677	+	0.405902i	−0.830974	−	0.556311i	$-0.812216\pi$
$743$	−15.2284	+	11.0641i	−0.558677	+	0.405902i	0.272298	+	0.962213i	$0.412216\pi$
$744$	−14.7364	−	45.3539i	−0.540262	−	1.66275i
$745$	−2.35130	+	7.23654i	−0.0861448	+	0.265126i
$746$	3.74525	+	2.72108i	0.137123	+	0.0996259i
$747$	−5.92050			−0.216620
$748$	−52.9684	+	77.9925i	−1.93672	+	2.85169i
$749$	27.7884			1.01536
$750$	2.24278	+	1.62947i	0.0818946	+	0.0594999i
$751$	−7.78395	+	23.9565i	−0.284040	+	0.874186i	0.702644	+	0.711541i	$0.252003\pi$
$751$	−7.78395	+	23.9565i	−0.284040	+	0.874186i	−0.986685	+	0.162645i	$0.947997\pi$
$752$	2.45243	+	7.54781i	0.0894310	+	0.275240i
$753$	14.2504	−	10.3535i	0.519312	−	0.377302i
$754$	−2.59669	+	1.88660i	−0.0945658	+	0.0687061i
$755$	0.826389	+	2.54336i	0.0300754	+	0.0925625i
$756$	−4.00134	+	12.3149i	−0.145527	+	0.447887i
$757$	−37.0481	−	26.9170i	−1.34653	−	0.978315i	−0.999176	−	0.0405820i	$-0.987079\pi$
$757$	−37.0481	−	26.9170i	−1.34653	−	0.978315i	−0.347358	−	0.937733i	$-0.612921\pi$
$758$	23.3842			0.849352
$759$	2.69409	+	0.781804i	0.0977894	+	0.0283777i
$760$	−47.9751			−1.74024
$761$	−6.48664	−	4.71282i	−0.235141	−	0.170840i	0.463975	−	0.885848i	$-0.346423\pi$
$761$	−6.48664	−	4.71282i	−0.235141	−	0.170840i	−0.699116	+	0.715009i	$0.746423\pi$
$762$	−0.431513	+	1.32806i	−0.0156321	+	0.0481105i
$763$	8.56146	+	26.3495i	0.309946	+	0.953914i
$764$	89.3949	−	64.9492i	3.23419	−	2.34978i
$765$	4.04508	−	2.93893i	0.146250	−	0.106257i
$766$	18.7451	+	57.6916i	0.677289	+	2.08448i
$767$	−0.529980	+	1.63111i	−0.0191365	+	0.0588960i
$768$	−63.5907	−	46.2014i	−2.29463	−	1.66715i
$769$	40.0439			1.44402			0.722010	−	0.691883i	$-0.243218\pi$
$769$	40.0439			1.44402			0.722010	+	0.691883i	$0.243218\pi$
$770$	19.7009	−	7.09965i	0.709972	−	0.255854i
$771$	20.9647			0.755025
$772$	−104.004	−	75.5634i	−3.74319	−	2.71959i
$773$	−7.36232	+	22.6589i	−0.264804	+	0.814984i	0.726934	+	0.686707i	$0.240945\pi$
$773$	−7.36232	+	22.6589i	−0.264804	+	0.814984i	−0.991738	+	0.128277i	$0.959055\pi$
$774$	5.99936	+	18.4641i	0.215643	+	0.663680i
$775$	3.77637	−	2.74369i	0.135651	−	0.0985563i
$776$	71.4770	−	51.9311i	2.56588	−	1.86422i
$777$	6.23748	+	19.1970i	0.223768	+	0.688688i
$778$	−0.335891	+	1.03377i	−0.0120423	+	0.0370624i
$779$	16.3140	+	11.8528i	0.584511	+	0.424672i
$780$	2.47726			0.0887001
$781$	−23.0081	−	29.6429i	−0.823293	−	1.06071i
$782$	−11.7239			−0.419245
$783$	2.14965	+	1.56181i	0.0768222	+	0.0558146i
$784$	−9.49471	+	29.2217i	−0.339097	+	1.04363i
$785$	−6.24214	−	19.2113i	−0.222791	−	0.685681i
$786$	−42.8590	+	31.1389i	−1.52873	+	1.11069i
$787$	7.67659	−	5.57737i	0.273641	−	0.198812i	−0.442498	−	0.896769i	$-0.645908\pi$
$787$	7.67659	−	5.57737i	0.273641	−	0.198812i	0.716139	+	0.697958i	$0.245908\pi$
$788$	40.4598	+	124.522i	1.44132	+	4.43593i
$789$	2.60647	−	8.02189i	0.0927928	−	0.285587i
$790$	−24.3805	−	17.7135i	−0.867419	−	0.630217i
$791$	−0.323537			−0.0115037
$792$	20.7757	+	26.7668i	0.738232	+	0.951116i
$793$	−1.29217			−0.0458864
$794$	−80.2517	−	58.3063i	−2.84803	−	2.06921i
$795$	3.34932	−	10.3081i	0.118788	−	0.365592i
$796$	−34.4718	−	106.093i	−1.22182	−	3.76037i
$797$	19.2254	−	13.9680i	0.680998	−	0.494774i	−0.192691	−	0.981259i	$-0.561721\pi$
$797$	19.2254	−	13.9680i	0.680998	−	0.494774i	0.873688	+	0.486486i	$0.161721\pi$
$798$	23.9875	−	17.4280i	0.849149	−	0.616943i
$799$	0.723376	+	2.22632i	0.0255912	+	0.0787617i
$800$	8.20756	−	25.2603i	0.290181	−	0.893086i
$801$	−4.77286	−	3.46769i	−0.168641	−	0.122525i
$802$	84.3212			2.97749
$803$	26.3005	−	9.47795i	0.928124	−	0.334469i
$804$	−14.0452			−0.495337
$805$	1.55850	+	1.13232i	0.0549299	+	0.0399089i
$806$	1.74241	−	5.36260i	0.0613739	−	0.188890i
$807$	2.97999	+	9.17148i	0.104901	+	0.322851i
$808$	46.9563	−	34.1158i	1.65192	−	1.20019i
$809$	14.8963	−	10.8228i	0.523726	−	0.380509i	−0.294280	−	0.955719i	$-0.595080\pi$
$809$	14.8963	−	10.8228i	0.523726	−	0.380509i	0.818006	+	0.575210i	$0.195080\pi$
$810$	−0.856664	−	2.63654i	−0.0301001	−	0.0926386i
$811$	7.30675	−	22.4879i	0.256575	−	0.789656i	−0.736941	−	0.675957i	$-0.763730\pi$
$811$	7.30675	−	22.4879i	0.256575	−	0.789656i	0.993515	−	0.113698i	$-0.0362697\pi$
$812$	−27.8350	−	20.2233i	−0.976815	−	0.709698i
$813$	10.2278			0.358704
$814$	78.2562	+	22.7093i	2.74288	+	0.795960i
$815$	9.79582			0.343133
$816$	−68.5694	−	49.8186i	−2.40041	−	1.74400i
$817$	10.1625	−	31.2770i	0.355541	−	1.09424i
$818$	−13.9377	−	42.8958i	−0.487320	−	1.49982i
$819$	−0.802893	+	0.583336i	−0.0280554	+	0.0203834i
$820$	−19.7508	+	14.3498i	−0.689727	+	0.501116i
$821$	8.13186	+	25.0273i	0.283804	+	0.873459i	0.986755	+	0.162220i	$0.0518654\pi$
$821$	8.13186	+	25.0273i	0.283804	+	0.873459i	−0.702951	+	0.711239i	$0.748135\pi$
$822$	10.5753	−	32.5475i	0.368857	−	1.13522i
$823$	−32.7100	−	23.7652i	−1.14020	−	0.828403i	−0.153051	−	0.988218i	$-0.548910\pi$
$823$	−32.7100	−	23.7652i	−1.14020	−	0.828403i	−0.987147	+	0.159816i	$0.948910\pi$
$824$	−13.2416			−0.461293
$825$	−1.86337	+	2.74369i	−0.0648743	+	0.0955231i
$826$	−24.8517			−0.864703
$827$	−13.4238	−	9.75293i	−0.466790	−	0.339143i	0.329399	−	0.944191i	$-0.393154\pi$
$827$	−13.4238	−	9.75293i	−0.466790	−	0.339143i	−0.796189	+	0.605048i	$0.793154\pi$
$828$	−1.48595	+	4.57327i	−0.0516402	+	0.158932i
$829$	−10.6015	−	32.6281i	−0.368206	−	1.13322i	−0.947949	−	0.318422i	$-0.896847\pi$
$829$	−10.6015	−	32.6281i	−0.368206	−	1.13322i	0.579743	−	0.814800i	$-0.303153\pi$
$830$	−13.2783	+	9.64728i	−0.460898	+	0.334862i
$831$	4.72388	−	3.43210i	0.163869	−	0.119058i
$832$	−5.34942	−	16.4638i	−0.185458	−	0.570781i
$833$	−2.80059	+	8.61932i	−0.0970346	+	0.298642i
$834$	17.3419	+	12.5997i	0.600502	+	0.436290i
$835$	−25.5776			−0.885150
$836$	−2.80865	−	88.5012i	−0.0971393	−	3.06088i
$837$	−4.66785			−0.161344
$838$	89.8686	+	65.2934i	3.10446	+	2.25552i
$839$	−1.04698	+	3.22229i	−0.0361459	+	0.111246i	−0.967502	−	0.252865i	$-0.918627\pi$
$839$	−1.04698	+	3.22229i	−0.0361459	+	0.111246i	0.931356	+	0.364111i	$0.118627\pi$
$840$	7.19034	+	22.1296i	0.248090	+	0.763544i
$841$	17.7496	−	12.8959i	0.612056	−	0.444685i
$842$	43.4970	−	31.6024i	1.49901	−	1.08909i
$843$	4.45412	+	13.7084i	0.153408	+	0.472142i
$844$	0.0877101	−	0.269944i	0.00301910	−	0.00929185i
$845$	−10.3636	−	7.52961i	−0.356519	−	0.259026i
$846$	1.29790			0.0446226
$847$	9.23721	+	23.2884i	0.317394	+	0.800201i
$848$	−183.729			−6.30926
$849$	8.60264	+	6.25018i	0.295242	+	0.214506i
$850$	4.28332	−	13.1827i	0.146917	−	0.452163i
$851$	2.31636	+	7.12903i	0.0794039	+	0.244380i
$852$	52.0380	−	37.8078i	1.78279	−	1.29527i
$853$	−13.2728	+	9.64323i	−0.454451	+	0.330178i	−0.791351	−	0.611363i	$-0.790622\pi$
$853$	−13.2728	+	9.64323i	−0.454451	+	0.330178i	0.336900	+	0.941541i	$0.390622\pi$
$854$	−5.78606	−	17.8076i	−0.197995	−	0.609365i
$855$	−1.45113	+	4.46612i	−0.0496276	+	0.152738i
$856$	100.841	+	73.2651i	3.44667	+	2.50415i
$857$	−3.37817			−0.115396			−0.0576981	−	0.998334i	$-0.518376\pi$
$857$	−3.37817			−0.115396			−0.0576981	+	0.998334i	$0.518376\pi$
$858$	0.127081	+	4.00433i	0.00433846	+	0.136706i
$859$	−2.32376			−0.0792855			−0.0396428	−	0.999214i	$-0.512622\pi$
$859$	−2.32376			−0.0792855			−0.0396428	+	0.999214i	$0.512622\pi$
$860$	32.2106	+	23.4024i	1.09837	+	0.798015i
$861$	3.02230	−	9.30168i	0.103000	−	0.317001i
$862$	29.0790	+	89.4959i	0.990434	+	3.04824i
$863$	16.3949	−	11.9116i	0.558090	−	0.405476i	−0.272670	−	0.962108i	$-0.587907\pi$
$863$	16.3949	−	11.9116i	0.558090	−	0.405476i	0.830759	+	0.556632i	$0.187907\pi$
$864$	−21.4877	+	15.6117i	−0.731026	+	0.531121i
$865$	2.08712	+	6.42349i	0.0709642	+	0.218405i
$866$	−11.2356	+	34.5795i	−0.381800	+	1.17506i
$867$	−6.47214	−	4.70228i	−0.219805	−	0.159698i
$868$	60.4421			2.05154
$869$	20.2561	−	29.8258i	0.687142	−	1.01177i
$870$	7.36611			0.249734
$871$	−0.870890	−	0.632739i	−0.0295090	−	0.0214395i
$872$	−38.4029	+	118.192i	−1.30048	+	4.00248i
$873$	−2.67239	−	8.22477i	−0.0904466	−	0.278366i
$874$	8.90806	−	6.47209i	0.301320	−	0.218922i
$875$	−1.84261	+	1.33873i	−0.0622916	+	0.0452575i
$876$	14.8085	+	45.5759i	0.500333	+	1.53987i
$877$	−5.13611	+	15.8073i	−0.173434	+	0.533775i	−0.999558	−	0.0297127i	$-0.990541\pi$
$877$	−5.13611	+	15.8073i	−0.173434	+	0.533775i	0.826125	+	0.563488i	$0.190541\pi$
$878$	21.6367	+	15.7200i	0.730205	+	0.530525i
$879$	−8.39576			−0.283182
$880$	53.9936	+	15.6685i	1.82012	+	0.528184i
$881$	−29.8895			−1.00700			−0.503502	−	0.863994i	$-0.667955\pi$
$881$	−29.8895			−1.00700			−0.503502	+	0.863994i	$0.667955\pi$
$882$	4.06521	+	2.95355i	0.136883	+	0.0994511i
$883$	4.33042	−	13.3277i	0.145730	−	0.448511i	−0.851374	−	0.524559i	$-0.824230\pi$
$883$	4.33042	−	13.3277i	0.145730	−	0.448511i	0.997104	+	0.0760479i	$0.0242302\pi$
$884$	−3.82758	−	11.7801i	−0.128735	−	0.396207i
$885$	3.18428	−	2.31351i	0.107038	−	0.0777678i
$886$	19.9923	−	14.5253i	0.671655	−	0.487986i
$887$	8.84040	+	27.2079i	0.296831	+	0.913553i	0.982600	+	0.185734i	$0.0594662\pi$
$887$	8.84040	+	27.2079i	0.296831	+	0.913553i	−0.685769	+	0.727820i	$0.740534\pi$
$888$	−27.9785	+	86.1091i	−0.938898	+	2.88963i
$889$	−0.928146	−	0.674338i	−0.0311290	−	0.0226166i
$890$	−16.3550			−0.548219
$891$	3.12020	−	1.12443i	0.104531	−	0.0376699i
$892$	4.29213			0.143711
$893$	−1.77866	−	1.29227i	−0.0595207	−	0.0432443i
$894$	6.51832	−	20.0613i	0.218005	−	0.670951i
$895$	−2.01539	−	6.20274i	−0.0673672	−	0.207335i
$896$	105.057	−	76.3284i	3.50971	−	2.54995i
$897$	−0.298164	+	0.216629i	−0.00995541	+	0.00723303i
$898$	−10.6542	−	32.7902i	−0.355535	−	1.09422i
$899$	3.83274	−	11.7959i	0.127829	−	0.393417i
$900$	−4.59944	−	3.34169i	−0.153315	−	0.111390i
$901$	−54.1931			−1.80543
$902$	−24.2087	−	31.1898i	−0.806062	−	1.03851i
$903$	−15.9504			−0.530794
$904$	−1.17408	−	0.853019i	−0.0390493	−	0.0283710i
$905$	−4.24966	+	13.0791i	−0.141263	+	0.434764i
$906$	−2.29093	−	7.05077i	−0.0761112	−	0.234246i
$907$	−21.8186	+	15.8521i	−0.724474	+	0.526361i	−0.887811	−	0.460209i	$-0.847774\pi$
$907$	−21.8186	+	15.8521i	−0.724474	+	0.526361i	0.163336	+	0.986570i	$0.447774\pi$
$908$	−38.1017	+	27.6825i	−1.26445	+	0.918677i
$909$	−1.75561	−	5.40320i	−0.0582298	−	0.179213i
$910$	−0.850179	+	2.61658i	−0.0281832	+	0.0867389i
$911$	−5.77363	−	4.19479i	−0.191289	−	0.138980i	0.488019	−	0.872833i	$-0.337720\pi$
$911$	−5.77363	−	4.19479i	−0.191289	−	0.138980i	−0.679308	+	0.733854i	$0.737720\pi$
$912$	79.6025			2.63590
$913$	−12.0399	−	15.5118i	−0.398462	−	0.513366i
$914$	−105.783			−3.49900
$915$	2.39913	+	1.74307i	0.0793128	+	0.0576241i
$916$	−5.05303	+	15.5516i	−0.166957	+	0.513840i
$917$	−13.4498	−	41.3941i	−0.444150	−	1.36695i
$918$	−11.2139	+	8.14736i	−0.370113	+	0.268903i
$919$	5.57755	−	4.05233i	0.183987	−	0.133674i	−0.491980	−	0.870607i	$-0.663727\pi$
$919$	5.57755	−	4.05233i	0.183987	−	0.133674i	0.675966	+	0.736933i	$0.263727\pi$
$920$	2.67022	+	8.21810i	0.0880346	+	0.270943i
$921$	1.39645	−	4.29784i	0.0460147	−	0.141619i
$922$	−77.1171	−	56.0288i	−2.53971	−	1.84521i
$923$	4.92992			0.162270
$924$	−40.4023	+	14.5598i	−1.32914	+	0.478983i
$925$	−8.86239			−0.291394
$926$	90.2854	+	65.5962i	2.96696	+	2.15563i
$927$	−0.400526	+	1.23269i	−0.0131550	+	0.0404869i
$928$	−21.8084	−	67.1194i	−0.715896	−	2.20330i
$929$	29.4333	−	21.3846i	0.965676	−	0.701605i	0.0112141	−	0.999937i	$-0.496430\pi$
$929$	29.4333	−	21.3846i	0.965676	−	0.701605i	0.954462	+	0.298332i	$0.0964304\pi$
$930$	−10.4689	+	7.60613i	−0.343290	+	0.249415i
$931$	−2.63029	−	8.09519i	−0.0862042	−	0.265309i
$932$	−9.09807	+	28.0010i	−0.298017	+	0.917202i
$933$	−19.4140	−	14.1051i	−0.635585	−	0.461780i
$934$	41.9052			1.37118
$935$	15.9261	+	4.62162i	0.520839	+	0.151143i
$936$	−4.45160			−0.145505
$937$	−42.6299	−	30.9724i	−1.39266	−	1.01183i	−0.995568	−	0.0940454i	$-0.970020\pi$
$937$	−42.6299	−	30.9724i	−1.39266	−	1.01183i	−0.397090	−	0.917780i	$-0.629980\pi$
$938$	4.82023	−	14.8351i	0.157386	−	0.484385i
$939$	−7.99384	−	24.6025i	−0.260869	−	0.802873i
$940$	2.15336	−	1.56451i	0.0702349	−	0.0510286i
$941$	16.4217	−	11.9311i	0.535334	−	0.388943i	−0.287015	−	0.957926i	$-0.592663\pi$
$941$	16.4217	−	11.9311i	0.535334	−	0.388943i	0.822349	+	0.568983i	$0.192663\pi$
$942$	17.3046	+	53.2581i	0.563814	+	1.73524i
$943$	1.12237	−	3.45429i	0.0365493	−	0.112487i
$944$	−53.9776	−	39.2170i	−1.75682	−	1.27640i
$945$	2.27759			0.0740900
$946$	−36.1761	+	53.2670i	−1.17619	+	1.73186i
$947$	14.5680			0.473395			0.236698	−	0.971583i	$-0.423935\pi$
$947$	14.5680			0.473395			0.236698	+	0.971583i	$0.423935\pi$
$948$	49.9991	+	36.3264i	1.62389	+	1.17983i
$949$	−1.13498	+	3.49311i	−0.0368430	+	0.113391i
$950$	4.02286	+	12.3811i	0.130519	+	0.401695i
$951$	−2.34873	+	1.70645i	−0.0761629	+	0.0553356i
$952$	94.1228	−	68.3842i	3.05054	−	2.21635i
$953$	−12.2078	−	37.5718i	−0.395450	−	1.21707i	−0.928610	−	0.371056i	$-0.878996\pi$
$953$	−12.2078	−	37.5718i	−0.395450	−	1.21707i	0.533160	−	0.846014i	$-0.321004\pi$
$954$	−9.28505	+	28.5765i	−0.300615	+	0.925197i
$955$	−15.7241	−	11.4242i	−0.508820	−	0.369679i
$956$	61.5867			1.99186
$957$	0.279535	+	8.80821i	0.00903609	+	0.284729i
$958$	−79.8524			−2.57991
$959$	22.7466	+	16.5264i	0.734526	+	0.533665i
$960$	−12.2767	+	37.7839i	−0.396230	+	1.21947i
$961$	−2.84642	−	8.76037i	−0.0918199	−	0.282592i
$962$	−8.66086	+	6.29248i	−0.279237	+	0.202878i
$963$	9.87063	−	7.17143i	0.318077	−	0.231096i
$964$	−5.20945	−	16.0330i	−0.167785	−	0.516389i
$965$	−6.98760	+	21.5056i	−0.224939	+	0.692291i
$966$	−4.32051	−	3.13903i	−0.139010	−	0.100997i
$967$	−44.8051			−1.44083			−0.720417	−	0.693541i	$-0.756050\pi$
$967$	−44.8051			−1.44083			−0.720417	+	0.693541i	$0.756050\pi$
$968$	−27.8801	+	108.865i	−0.896102	+	3.49907i
$969$	23.4798			0.754279
$970$	−19.3956	−	14.0917i	−0.622755	−	0.452458i
$971$	5.60723	−	17.2573i	0.179945	−	0.553812i	−0.819880	−	0.572535i	$-0.805960\pi$
$971$	5.60723	−	17.2573i	0.179945	−	0.553812i	0.999825	+	0.0187228i	$0.00596000\pi$
$972$	1.75683	+	5.40697i	0.0563503	+	0.173428i
$973$	−14.2477	+	10.3516i	−0.456761	+	0.331856i
$974$	−64.7097	+	47.0144i	−2.07343	+	1.50644i
$975$	−0.134650	−	0.414410i	−0.00431225	−	0.0132718i
$976$	15.5339	−	47.8085i	0.497229	−	1.53031i
$977$	−42.0662	−	30.5629i	−1.34582	−	0.977794i	−0.999208	−	0.0397838i	$-0.987333\pi$
$977$	−42.0662	−	30.5629i	−1.34582	−	0.977794i	−0.346609	−	0.938010i	$-0.612667\pi$
$978$	−27.1562			−0.868359
$979$	−0.620652	−	19.5569i	−0.0198361	−	0.625040i
$980$	10.3049			0.329178
$981$	9.84118	+	7.15004i	0.314205	+	0.228283i
$982$	−12.7957	+	39.3812i	−0.408328	+	1.25671i
$983$	13.6994	+	42.1625i	0.436943	+	1.34477i	0.891082	+	0.453842i	$0.149947\pi$
$983$	13.6994	+	42.1625i	0.436943	+	1.34477i	−0.454139	+	0.890931i	$0.650053\pi$
$984$	35.4919	−	25.7863i	1.13144	−	0.822039i
$985$	18.6317	−	13.5367i	0.593654	−	0.431315i
$986$	−11.3813	−	35.0279i	−0.362453	−	1.11552i
$987$	−0.329511	+	1.01413i	−0.0104885	+	0.0322801i
$988$	9.41138	+	6.83777i	0.299416	+	0.217538i
$989$	−5.92336			−0.188352
$990$	5.16568	−	7.60613i	0.164176	−	0.241739i
$991$	10.4084			0.330635			0.165317	−	0.986240i	$-0.447135\pi$
$991$	10.4084			0.330635			0.165317	+	0.986240i	$0.447135\pi$
$992$	100.301	+	72.8731i	3.18457	+	2.31372i
$993$	3.39416	−	10.4461i	0.107710	−	0.331498i
$994$	22.0751	+	67.9401i	0.700179	+	2.15493i
$995$	−15.8742	+	11.5333i	−0.503246	+	0.365629i
$996$	27.2310	−	19.7845i	0.862846	−	0.626895i
$997$	2.01541	+	6.20281i	0.0638288	+	0.196445i	0.977885	−	0.209142i	$-0.0670671\pi$
$997$	2.01541	+	6.20281i	0.0638288	+	0.196445i	−0.914056	+	0.405587i	$0.867067\pi$
$998$	19.0171	−	58.5286i	0.601975	−	1.85269i
$999$	7.16983	+	5.20918i	0.226843	+	0.164811i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	165.2.m.a.136.1	yes	8
3.2	odd	2		495.2.n.d.136.2		8
5.2	odd	4		825.2.bx.h.499.4		16
5.3	odd	4		825.2.bx.h.499.1		16
5.4	even	2		825.2.n.k.301.2		8
11.3	even	5	inner	165.2.m.a.91.1	✓	8
11.5	even	5		1815.2.a.x.1.4		4
11.6	odd	10		1815.2.a.o.1.1		4
33.5	odd	10		5445.2.a.be.1.1		4
33.14	odd	10		495.2.n.d.91.2		8
33.17	even	10		5445.2.a.bv.1.4		4
55.3	odd	20		825.2.bx.h.124.4		16
55.14	even	10		825.2.n.k.751.2		8
55.39	odd	10		9075.2.a.dj.1.4		4
55.47	odd	20		825.2.bx.h.124.1		16
55.49	even	10		9075.2.a.cl.1.1		4

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
165.2.m.a.91.1	✓	8	11.3	even	5	inner
165.2.m.a.136.1	yes	8	1.1	even	1	trivial
495.2.n.d.91.2		8	33.14	odd	10
495.2.n.d.136.2		8	3.2	odd	2
825.2.n.k.301.2		8	5.4	even	2
825.2.n.k.751.2		8	55.14	even	10
825.2.bx.h.124.1		16	55.47	odd	20
825.2.bx.h.124.4		16	55.3	odd	20
825.2.bx.h.499.1		16	5.3	odd	4
825.2.bx.h.499.4		16	5.2	odd	4
1815.2.a.o.1.1		4	11.6	odd	10
1815.2.a.x.1.4		4	11.5	even	5
5445.2.a.be.1.1		4	33.5	odd	10
5445.2.a.bv.1.4		4	33.17	even	10
9075.2.a.cl.1.1		4	55.49	even	10
9075.2.a.dj.1.4		4	55.39	odd	10

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:	\( N \)	\(=\)	\( 165 = 3 \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	165.m (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-2.24278 - 1.62947i) q^{2} +(0.309017 - 0.951057i) q^{3} +(1.75683 + 5.40697i) q^{4} +(0.809017 - 0.587785i) q^{5} +(-2.24278 + 1.62947i) q^{6} +(-0.703814 - 2.16612i) q^{7} +(3.15700 - 9.71623i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})\)	\(q+(-2.24278 - 1.62947i) q^{2} +(0.309017 - 0.951057i) q^{3} +(1.75683 + 5.40697i) q^{4} +(0.809017 - 0.587785i) q^{5} +(-2.24278 + 1.62947i) q^{6} +(-0.703814 - 2.16612i) q^{7} +(3.15700 - 9.71623i) q^{8} +(-0.809017 - 0.587785i) q^{9} -2.77222 q^{10} +(-0.105203 - 3.31496i) q^{11} +5.68522 q^{12} +(0.352519 + 0.256120i) q^{13} +(-1.95113 + 6.00496i) q^{14} +(-0.309017 - 0.951057i) q^{15} +(-13.7139 + 9.96371i) q^{16} +(-4.04508 + 2.93893i) q^{17} +(0.856664 + 2.63654i) q^{18} +(1.45113 - 4.46612i) q^{19} +(4.59944 + 3.34169i) q^{20} -2.27759 q^{21} +(-5.16568 + 7.60613i) q^{22} -0.845811 q^{23} +(-8.26512 - 6.00496i) q^{24} +(0.309017 - 0.951057i) q^{25} +(-0.373280 - 1.14884i) q^{26} +(-0.809017 + 0.587785i) q^{27} +(10.4756 - 7.61100i) q^{28} +(-0.821093 - 2.52706i) q^{29} +(-0.856664 + 2.63654i) q^{30} +(3.77637 + 2.74369i) q^{31} +26.5602 q^{32} +(-3.18522 - 0.924324i) q^{33} +13.8611 q^{34} +(-1.84261 - 1.33873i) q^{35} +(1.75683 - 5.40697i) q^{36} +(-2.73863 - 8.42864i) q^{37} +(-10.5320 + 7.65193i) q^{38} +(0.352519 - 0.256120i) q^{39} +(-3.15700 - 9.71623i) q^{40} +(-1.32697 + 4.08400i) q^{41} +(5.10813 + 3.71127i) q^{42} +7.00317 q^{43} +(17.7390 - 6.39264i) q^{44} -1.00000 q^{45} +(1.89696 + 1.37823i) q^{46} +(0.144675 - 0.445265i) q^{47} +(5.23823 + 16.1216i) q^{48} +(1.46641 - 1.06541i) q^{49} +(-2.24278 + 1.62947i) q^{50} +(1.54508 + 4.75528i) q^{51} +(-0.765515 + 2.35601i) q^{52} +(8.76863 + 6.37078i) q^{53} +2.77222 q^{54} +(-2.03359 - 2.62002i) q^{55} -23.2684 q^{56} +(-3.79911 - 2.76021i) q^{57} +(-2.27625 + 7.00558i) q^{58} +(1.21629 + 3.74334i) q^{59} +(4.59944 - 3.34169i) q^{60} +(-2.39913 + 1.74307i) q^{61} +(-3.99878 - 12.3070i) q^{62} +(-0.703814 + 2.16612i) q^{63} +(-32.1409 - 23.3517i) q^{64} +0.435737 q^{65} +(5.63757 + 7.26328i) q^{66} -2.47048 q^{67} +(-22.9972 - 16.7084i) q^{68} +(-0.261370 + 0.804414i) q^{69} +(1.95113 + 6.00496i) q^{70} +(9.15321 - 6.65020i) q^{71} +(-8.26512 + 6.00496i) q^{72} +(2.60474 + 8.01655i) q^{73} +(-7.59209 + 23.3661i) q^{74} +(-0.809017 - 0.587785i) q^{75} +26.6975 q^{76} +(-7.10654 + 2.56099i) q^{77} -1.20796 q^{78} +(8.79457 + 6.38963i) q^{79} +(-5.23823 + 16.1216i) q^{80} +(0.309017 + 0.951057i) q^{81} +(9.63087 - 6.99723i) q^{82} +(4.78978 - 3.47998i) q^{83} +(-4.00134 - 12.3149i) q^{84} +(-1.54508 + 4.75528i) q^{85} +(-15.7065 - 11.4115i) q^{86} -2.65711 q^{87} +(-32.5410 - 9.44313i) q^{88} +5.89958 q^{89} +(2.24278 + 1.62947i) q^{90} +(0.306678 - 0.943857i) q^{91} +(-1.48595 - 4.57327i) q^{92} +(3.77637 - 2.74369i) q^{93} +(-1.05002 + 0.762885i) q^{94} +(-1.45113 - 4.46612i) q^{95} +(8.20756 - 25.2603i) q^{96} +(6.99640 + 5.08318i) q^{97} -5.02487 q^{98} +(-1.86337 + 2.74369i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q - 2 q^{3} - 2 q^{4} + 2 q^{5} + q^{7} + 5 q^{8} - 2 q^{9}+O(q^{10}) \) 8 * q - 2 * q^3 - 2 * q^4 + 2 * q^5 + q^7 + 5 * q^8 - 2 * q^9	\( 8 q - 2 q^{3} - 2 q^{4} + 2 q^{5} + q^{7} + 5 q^{8} - 2 q^{9} - 10 q^{10} - 3 q^{11} + 18 q^{12} + 6 q^{13} - 10 q^{14} + 2 q^{15} - 20 q^{16} - 10 q^{17} - 5 q^{18} + 6 q^{19} + 7 q^{20} - 4 q^{21} - 25 q^{22} - 10 q^{23} - 20 q^{24} - 2 q^{25} - 8 q^{26} - 2 q^{27} + 31 q^{28} + 5 q^{30} + 3 q^{31} + 60 q^{32} + 2 q^{33} + 50 q^{34} - q^{35} - 2 q^{36} - 19 q^{37} - 28 q^{38} + 6 q^{39} - 5 q^{40} - 25 q^{41} + 15 q^{42} - 4 q^{43} + 7 q^{44} - 8 q^{45} - 6 q^{46} + 15 q^{47} + 5 q^{48} + 21 q^{49} - 10 q^{51} + 6 q^{52} + 7 q^{53} + 10 q^{54} - 7 q^{55} + 20 q^{56} - 9 q^{57} - 2 q^{58} + 35 q^{59} + 7 q^{60} + 21 q^{61} - 19 q^{62} + q^{63} - 77 q^{64} - 6 q^{65} + 25 q^{66} - 26 q^{67} - 35 q^{68} - 5 q^{69} + 10 q^{70} + 25 q^{71} - 20 q^{72} + q^{73} - 29 q^{74} - 2 q^{75} - 14 q^{76} - 61 q^{77} + 12 q^{78} + 30 q^{79} - 5 q^{80} - 2 q^{81} + 57 q^{82} + 11 q^{83} - 34 q^{84} + 10 q^{85} - 34 q^{86} + 10 q^{87} - 85 q^{88} + 32 q^{89} + 37 q^{91} - 10 q^{92} + 3 q^{93} - 39 q^{94} - 6 q^{95} + 10 q^{96} + 5 q^{97} + 50 q^{98} - 3 q^{99}+O(q^{100}) \) 8 * q - 2 * q^3 - 2 * q^4 + 2 * q^5 + q^7 + 5 * q^8 - 2 * q^9 - 10 * q^10 - 3 * q^11 + 18 * q^12 + 6 * q^13 - 10 * q^14 + 2 * q^15 - 20 * q^16 - 10 * q^17 - 5 * q^18 + 6 * q^19 + 7 * q^20 - 4 * q^21 - 25 * q^22 - 10 * q^23 - 20 * q^24 - 2 * q^25 - 8 * q^26 - 2 * q^27 + 31 * q^28 + 5 * q^30 + 3 * q^31 + 60 * q^32 + 2 * q^33 + 50 * q^34 - q^35 - 2 * q^36 - 19 * q^37 - 28 * q^38 + 6 * q^39 - 5 * q^40 - 25 * q^41 + 15 * q^42 - 4 * q^43 + 7 * q^44 - 8 * q^45 - 6 * q^46 + 15 * q^47 + 5 * q^48 + 21 * q^49 - 10 * q^51 + 6 * q^52 + 7 * q^53 + 10 * q^54 - 7 * q^55 + 20 * q^56 - 9 * q^57 - 2 * q^58 + 35 * q^59 + 7 * q^60 + 21 * q^61 - 19 * q^62 + q^63 - 77 * q^64 - 6 * q^65 + 25 * q^66 - 26 * q^67 - 35 * q^68 - 5 * q^69 + 10 * q^70 + 25 * q^71 - 20 * q^72 + q^73 - 29 * q^74 - 2 * q^75 - 14 * q^76 - 61 * q^77 + 12 * q^78 + 30 * q^79 - 5 * q^80 - 2 * q^81 + 57 * q^82 + 11 * q^83 - 34 * q^84 + 10 * q^85 - 34 * q^86 + 10 * q^87 - 85 * q^88 + 32 * q^89 + 37 * q^91 - 10 * q^92 + 3 * q^93 - 39 * q^94 - 6 * q^95 + 10 * q^96 + 5 * q^97 + 50 * q^98 - 3 * q^99

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