LMFDB - Embedded newform 165.2.m.c.16.2

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:	$\Q(\zeta_{15})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} - x^{7} + x^{5} - x^{4} + x^{3} - x + 1 $ x^8 - x^7 + x^5 - x^4 + x^3 - x + 1
Coefficient ring:	$\Z[a_1, \ldots, a_{11}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			16.2
Root			$-0.104528 + 0.994522i$ of defining polynomial
Character	$\chi$	$=$	165.16
Dual form			165.2.m.c.31.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.564602 + 1.73767i) q^{2} +(0.809017 + 0.587785i) q^{3} +(-1.08268 + 0.786610i) q^{4} +(0.309017 - 0.951057i) q^{5} +(-0.564602 + 1.73767i) q^{6} +(-1.41355 + 1.02700i) q^{7} +(0.978148 + 0.710666i) q^{8} +(0.309017 + 0.951057i) q^{9} +O(q^{10})$	\(q+(0.564602 + 1.73767i) q^{2} +(0.809017 + 0.587785i) q^{3} +(-1.08268 + 0.786610i) q^{4} +(0.309017 - 0.951057i) q^{5} +(-0.564602 + 1.73767i) q^{6} +(-1.41355 + 1.02700i) q^{7} +(0.978148 + 0.710666i) q^{8} +(0.309017 + 0.951057i) q^{9} +1.82709 q^{10} +(-0.384301 + 3.29428i) q^{11} -1.33826 q^{12} +(-1.65563 - 5.09549i) q^{13} +(-2.58268 - 1.87642i) q^{14} +(0.809017 - 0.587785i) q^{15} +(-1.50973 + 4.64646i) q^{16} +(2.26531 - 6.97191i) q^{17} +(-1.47815 + 1.07394i) q^{18} +(-4.86606 - 3.53540i) q^{19} +(0.413545 + 1.27276i) q^{20} -1.74724 q^{21} +(-5.94135 + 1.19217i) q^{22} +8.35772 q^{23} +(0.373619 + 1.14988i) q^{24} +(-0.809017 - 0.587785i) q^{25} +(7.91949 - 5.75385i) q^{26} +(-0.309017 + 0.951057i) q^{27} +(0.722562 - 2.22382i) q^{28} +(-4.48048 + 3.25526i) q^{29} +(1.47815 + 1.07394i) q^{30} +(-0.00660190 - 0.0203186i) q^{31} -6.50828 q^{32} +(-2.24724 + 2.43925i) q^{33} +13.3939 q^{34} +(0.539926 + 1.66172i) q^{35} +(-1.08268 - 0.786610i) q^{36} +(0.907432 - 0.659288i) q^{37} +(3.39596 - 10.4517i) q^{38} +(1.65563 - 5.09549i) q^{39} +(0.978148 - 0.710666i) q^{40} +(2.96086 + 2.15119i) q^{41} +(-0.986494 - 3.03612i) q^{42} -1.96950 q^{43} +(-2.17524 - 3.86894i) q^{44} +1.00000 q^{45} +(4.71878 + 14.5229i) q^{46} +(-3.09007 - 2.24507i) q^{47} +(-3.95252 + 2.87167i) q^{48} +(-1.21974 + 3.75397i) q^{49} +(0.564602 - 1.73767i) q^{50} +(5.93066 - 4.30888i) q^{51} +(5.80067 + 4.21443i) q^{52} +(0.516329 + 1.58910i) q^{53} -1.82709 q^{54} +(3.01430 + 1.38348i) q^{55} -2.11251 q^{56} +(-1.85867 - 5.72040i) q^{57} +(-8.18625 - 5.94766i) q^{58} +(-4.58172 + 3.32882i) q^{59} +(-0.413545 + 1.27276i) q^{60} +(2.86761 - 8.82559i) q^{61} +(0.0315794 - 0.0229438i) q^{62} +(-1.41355 - 1.02700i) q^{63} +(-0.655137 - 2.01630i) q^{64} -5.35772 q^{65} +(-5.50739 - 2.52775i) q^{66} +0.350489 q^{67} +(3.03158 + 9.33024i) q^{68} +(6.76153 + 4.91254i) q^{69} +(-2.58268 + 1.87642i) q^{70} +(1.40238 - 4.31607i) q^{71} +(-0.373619 + 1.14988i) q^{72} +(-8.20305 + 5.95986i) q^{73} +(1.65796 + 1.20458i) q^{74} +(-0.309017 - 0.951057i) q^{75} +8.04935 q^{76} +(-2.84001 - 5.05130i) q^{77} +9.78903 q^{78} +(0.792323 + 2.43852i) q^{79} +(3.95252 + 2.87167i) q^{80} +(-0.809017 + 0.587785i) q^{81} +(-2.06635 + 6.35956i) q^{82} +(-4.96915 + 15.2935i) q^{83} +(1.89169 - 1.37440i) q^{84} +(-5.93066 - 4.30888i) q^{85} +(-1.11198 - 3.42233i) q^{86} -5.53818 q^{87} +(-2.71704 + 2.94919i) q^{88} -14.5062 q^{89} +(0.564602 + 1.73767i) q^{90} +(7.57337 + 5.50238i) q^{91} +(-9.04870 + 6.57426i) q^{92} +(0.00660190 - 0.0203186i) q^{93} +(2.15652 - 6.63708i) q^{94} +(-4.86606 + 3.53540i) q^{95} +(-5.26531 - 3.82547i) q^{96} +(-0.587045 - 1.80674i) q^{97} -7.21182 q^{98} +(-3.25181 + 0.652498i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q + 2 q^{2} + 2 q^{3} + 2 q^{4} - 2 q^{5} - 2 q^{6} - 5 q^{7} - q^{8} - 2 q^{9}+O(q^{10}) $ 8 * q + 2 * q^2 + 2 * q^3 + 2 * q^4 - 2 * q^5 - 2 * q^6 - 5 * q^7 - q^8 - 2 * q^9	\( 8 q + 2 q^{2} + 2 q^{3} + 2 q^{4} - 2 q^{5} - 2 q^{6} - 5 q^{7} - q^{8} - 2 q^{9} + 2 q^{10} - q^{11} - 2 q^{12} - 16 q^{13} - 10 q^{14} + 2 q^{15} + 12 q^{16} - 4 q^{17} - 3 q^{18} + 2 q^{19} - 3 q^{20} - 9 q^{22} + 10 q^{23} - 4 q^{24} - 2 q^{25} + 16 q^{26} + 2 q^{27} - 5 q^{28} - 16 q^{29} + 3 q^{30} - 5 q^{31} - 4 q^{33} + 34 q^{34} + 5 q^{35} + 2 q^{36} - 5 q^{37} + 28 q^{38} + 16 q^{39} - q^{40} + 5 q^{41} - 15 q^{42} - 8 q^{43} - 19 q^{44} + 8 q^{45} + 10 q^{46} - q^{47} + 3 q^{48} - 11 q^{49} + 2 q^{50} + 4 q^{51} + 26 q^{52} - 15 q^{53} - 2 q^{54} - q^{55} + 20 q^{56} + 13 q^{57} - 24 q^{58} + 3 q^{59} + 3 q^{60} - 11 q^{61} - 15 q^{62} - 5 q^{63} - 9 q^{64} + 14 q^{65} - 31 q^{66} + 6 q^{67} + 9 q^{68} + 15 q^{69} - 10 q^{70} + q^{71} + 4 q^{72} - 35 q^{73} + 5 q^{74} + 2 q^{75} + 58 q^{76} - 25 q^{77} + 24 q^{78} - 30 q^{79} - 3 q^{80} - 2 q^{81} - 25 q^{82} + 31 q^{83} - 4 q^{85} - 62 q^{86} - 34 q^{87} + 17 q^{88} - 48 q^{89} + 2 q^{90} + 5 q^{91} - 20 q^{92} + 5 q^{93} - 19 q^{94} + 2 q^{95} - 20 q^{96} + 11 q^{97} + 26 q^{98} - 11 q^{99}+O(q^{100}) \) 8 * q + 2 * q^2 + 2 * q^3 + 2 * q^4 - 2 * q^5 - 2 * q^6 - 5 * q^7 - q^8 - 2 * q^9 + 2 * q^10 - q^11 - 2 * q^12 - 16 * q^13 - 10 * q^14 + 2 * q^15 + 12 * q^16 - 4 * q^17 - 3 * q^18 + 2 * q^19 - 3 * q^20 - 9 * q^22 + 10 * q^23 - 4 * q^24 - 2 * q^25 + 16 * q^26 + 2 * q^27 - 5 * q^28 - 16 * q^29 + 3 * q^30 - 5 * q^31 - 4 * q^33 + 34 * q^34 + 5 * q^35 + 2 * q^36 - 5 * q^37 + 28 * q^38 + 16 * q^39 - q^40 + 5 * q^41 - 15 * q^42 - 8 * q^43 - 19 * q^44 + 8 * q^45 + 10 * q^46 - q^47 + 3 * q^48 - 11 * q^49 + 2 * q^50 + 4 * q^51 + 26 * q^52 - 15 * q^53 - 2 * q^54 - q^55 + 20 * q^56 + 13 * q^57 - 24 * q^58 + 3 * q^59 + 3 * q^60 - 11 * q^61 - 15 * q^62 - 5 * q^63 - 9 * q^64 + 14 * q^65 - 31 * q^66 + 6 * q^67 + 9 * q^68 + 15 * q^69 - 10 * q^70 + q^71 + 4 * q^72 - 35 * q^73 + 5 * q^74 + 2 * q^75 + 58 * q^76 - 25 * q^77 + 24 * q^78 - 30 * q^79 - 3 * q^80 - 2 * q^81 - 25 * q^82 + 31 * q^83 - 4 * q^85 - 62 * q^86 - 34 * q^87 + 17 * q^88 - 48 * q^89 + 2 * q^90 + 5 * q^91 - 20 * q^92 + 5 * q^93 - 19 * q^94 + 2 * q^95 - 20 * q^96 + 11 * q^97 + 26 * q^98 - 11 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$46$	$56$	$67$
$\chi(n)$	$e\left(\frac{2}{5}\right)$	$1$	$1$

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 $

$2$	0.564602	+	1.73767i	0.399234	+	1.22872i	0.925615	+	0.378467i	$0.123549\pi$
$2$	0.564602	+	1.73767i	0.399234	+	1.22872i	−0.526381	+	0.850249i	$0.676451\pi$
$3$	0.809017	+	0.587785i	0.467086	+	0.339358i
$3$	0.809017	+	0.587785i	0.467086	+	0.339358i
$4$	−1.08268	+	0.786610i	−0.541338	+	0.393305i
$5$	0.309017	−	0.951057i	0.138197	−	0.425325i
$5$	0.309017	−	0.951057i	0.138197	−	0.425325i
$6$	−0.564602	+	1.73767i	−0.230498	+	0.709399i
$7$	−1.41355	+	1.02700i	−0.534270	+	0.388170i	−0.821953	−	0.569556i	$-0.807115\pi$
$7$	−1.41355	+	1.02700i	−0.534270	+	0.388170i	0.287683	+	0.957726i	$0.407115\pi$
$8$	0.978148	+	0.710666i	0.345827	+	0.251258i
$9$	0.309017	+	0.951057i	0.103006	+	0.317019i
$10$	1.82709			0.577777
$11$	−0.384301	+	3.29428i	−0.115871	+	0.993264i
$11$	−0.384301	+	3.29428i	−0.115871	+	0.993264i
$12$	−1.33826			−0.386323
$13$	−1.65563	−	5.09549i	−0.459188	−	1.41323i	−0.866147	−	0.499789i	$-0.833411\pi$
$13$	−1.65563	−	5.09549i	−0.459188	−	1.41323i	0.406960	−	0.913446i	$-0.366589\pi$
$14$	−2.58268	−	1.87642i	−0.690249	−	0.501495i
$15$	0.809017	−	0.587785i	0.208887	−	0.151765i
$16$	−1.50973	+	4.64646i	−0.377432	+	1.16162i
$17$	2.26531	−	6.97191i	0.549419	−	1.69094i	−0.160826	−	0.986983i	$-0.551416\pi$
$17$	2.26531	−	6.97191i	0.549419	−	1.69094i	0.710245	−	0.703955i	$-0.248584\pi$
$18$	−1.47815	+	1.07394i	−0.348403	+	0.253129i
$19$	−4.86606	−	3.53540i	−1.11635	−	0.811077i	−0.132699	−	0.991156i	$-0.542364\pi$
$19$	−4.86606	−	3.53540i	−1.11635	−	0.811077i	−0.983652	+	0.180080i	$0.942364\pi$
$20$	0.413545	+	1.27276i	0.0924716	+	0.284598i
$21$	−1.74724			−0.381279
$22$	−5.94135	+	1.19217i	−1.26670	+	0.254172i
$23$	8.35772			1.74270			0.871352	−	0.490658i	$-0.163244\pi$
$23$	8.35772			1.74270			0.871352	+	0.490658i	$0.163244\pi$
$24$	0.373619	+	1.14988i	0.0762647	+	0.234719i
$25$	−0.809017	−	0.587785i	−0.161803	−	0.117557i
$26$	7.91949	−	5.75385i	1.55314	−	1.12842i
$27$	−0.309017	+	0.951057i	−0.0594703	+	0.183031i
$28$	0.722562	−	2.22382i	0.136551	−	0.420262i
$29$	−4.48048	+	3.25526i	−0.832005	+	0.604487i	−0.920126	−	0.391623i	$-0.871914\pi$
$29$	−4.48048	+	3.25526i	−0.832005	+	0.604487i	0.0881210	+	0.996110i	$0.471914\pi$
$30$	1.47815	+	1.07394i	0.269872	+	0.196073i
$31$	−0.00660190	−	0.0203186i	−0.00118574	−	0.00364932i	0.950462	−	0.310841i	$-0.100611\pi$
$31$	−0.00660190	−	0.0203186i	−0.00118574	−	0.00364932i	−0.951648	+	0.307192i	$0.900611\pi$
$32$	−6.50828			−1.15051
$33$	−2.24724	+	2.43925i	−0.391194	+	0.424618i
$34$	13.3939			2.29703
$35$	0.539926	+	1.66172i	0.0912642	+	0.280882i
$36$	−1.08268	−	0.786610i	−0.180446	−	0.131102i
$37$	0.907432	−	0.659288i	0.149181	−	0.108386i	−0.510691	−	0.859764i	$-0.670610\pi$
$37$	0.907432	−	0.659288i	0.149181	−	0.108386i	0.659872	+	0.751378i	$0.270610\pi$
$38$	3.39596	−	10.4517i	0.550897	−	1.69549i
$39$	1.65563	−	5.09549i	0.265112	−	0.815931i
$40$	0.978148	−	0.710666i	0.154659	−	0.112366i
$41$	2.96086	+	2.15119i	0.462409	+	0.335960i	0.794476	−	0.607296i	$-0.207746\pi$
$41$	2.96086	+	2.15119i	0.462409	+	0.335960i	−0.332066	+	0.943256i	$0.607746\pi$
$42$	−0.986494	−	3.03612i	−0.152219	−	0.468483i
$43$	−1.96950			−0.300346			−0.150173	−	0.988660i	$-0.547983\pi$
$43$	−1.96950			−0.300346			−0.150173	+	0.988660i	$0.547983\pi$
$44$	−2.17524	−	3.86894i	−0.327930	−	0.583264i
$45$	1.00000			0.149071
$46$	4.71878	+	14.5229i	0.695747	+	2.14129i
$47$	−3.09007	−	2.24507i	−0.450733	−	0.327476i	0.339152	−	0.940731i	$-0.389860\pi$
$47$	−3.09007	−	2.24507i	−0.450733	−	0.327476i	−0.789885	+	0.613255i	$0.789860\pi$
$48$	−3.95252	+	2.87167i	−0.570497	+	0.414490i
$49$	−1.21974	+	3.75397i	−0.174248	+	0.536282i
$50$	0.564602	−	1.73767i	0.0798468	−	0.245743i
$51$	5.93066	−	4.30888i	0.830459	−	0.603364i
$52$	5.80067	+	4.21443i	0.804408	+	0.584437i
$53$	0.516329	+	1.58910i	0.0709232	+	0.218279i	0.980235	−	0.197836i	$-0.0633913\pi$
$53$	0.516329	+	1.58910i	0.0709232	+	0.218279i	−0.909312	+	0.416115i	$0.863391\pi$
$54$	−1.82709			−0.248636
$55$	3.01430	+	1.38348i	0.406448	+	0.186549i
$56$	−2.11251			−0.282296
$57$	−1.85867	−	5.72040i	−0.246187	−	0.757685i
$58$	−8.18625	−	5.94766i	−1.07491	−	0.780966i
$59$	−4.58172	+	3.32882i	−0.596489	+	0.433375i	−0.844631	−	0.535349i	$-0.820180\pi$
$59$	−4.58172	+	3.32882i	−0.596489	+	0.433375i	0.248142	+	0.968724i	$0.420180\pi$
$60$	−0.413545	+	1.27276i	−0.0533885	+	0.164313i
$61$	2.86761	−	8.82559i	0.367160	−	1.13000i	−0.581458	−	0.813576i	$-0.697518\pi$
$61$	2.86761	−	8.82559i	0.367160	−	1.13000i	0.948618	−	0.316425i	$-0.102482\pi$
$62$	0.0315794	−	0.0229438i	0.00401059	−	0.00291387i
$63$	−1.41355	−	1.02700i	−0.178090	−	0.129390i
$64$	−0.655137	−	2.01630i	−0.0818921	−	0.252038i
$65$	−5.35772			−0.664543
$66$	−5.50739	−	2.52775i	−0.677913	−	0.311144i
$67$	0.350489			0.0428190			0.0214095	−	0.999771i	$-0.493185\pi$
$67$	0.350489			0.0428190			0.0214095	+	0.999771i	$0.493185\pi$
$68$	3.03158	+	9.33024i	0.367633	+	1.13146i
$69$	6.76153	+	4.91254i	0.813993	+	0.591401i
$70$	−2.58268	+	1.87642i	−0.308689	+	0.224276i
$71$	1.40238	−	4.31607i	0.166431	−	0.512223i	−0.832708	−	0.553713i	$-0.813210\pi$
$71$	1.40238	−	4.31607i	0.166431	−	0.512223i	0.999139	+	0.0414901i	$0.0132105\pi$
$72$	−0.373619	+	1.14988i	−0.0440314	+	0.135515i
$73$	−8.20305	+	5.95986i	−0.960094	+	0.697549i	−0.953173	−	0.302427i	$-0.902203\pi$
$73$	−8.20305	+	5.95986i	−0.960094	+	0.697549i	−0.00692130	+	0.999976i	$0.502203\pi$
$74$	1.65796	+	1.20458i	0.192734	+	0.140029i
$75$	−0.309017	−	0.951057i	−0.0356822	−	0.109819i
$76$	8.04935			0.923324
$77$	−2.84001	−	5.05130i	−0.323649	−	0.575649i
$78$	9.78903			1.10839
$79$	0.792323	+	2.43852i	0.0891433	+	0.274355i	0.985683	−	0.168608i	$-0.0539273\pi$
$79$	0.792323	+	2.43852i	0.0891433	+	0.274355i	−0.896540	+	0.442963i	$0.853927\pi$
$80$	3.95252	+	2.87167i	0.441905	+	0.321063i
$81$	−0.809017	+	0.587785i	−0.0898908	+	0.0653095i
$82$	−2.06635	+	6.35956i	−0.228190	+	0.702296i
$83$	−4.96915	+	15.2935i	−0.545435	+	1.67868i	0.174519	+	0.984654i	$0.444163\pi$
$83$	−4.96915	+	15.2935i	−0.545435	+	1.67868i	−0.719954	+	0.694022i	$0.755837\pi$
$84$	1.89169	−	1.37440i	0.206401	−	0.149959i
$85$	−5.93066	−	4.30888i	−0.643271	−	0.467364i
$86$	−1.11198	−	3.42233i	−0.119908	−	0.369040i
$87$	−5.53818			−0.593755
$88$	−2.71704	+	2.94919i	−0.289637	+	0.314384i
$89$	−14.5062			−1.53765			−0.768825	−	0.639459i	$-0.779159\pi$
$89$	−14.5062			−1.53765			−0.768825	+	0.639459i	$0.779159\pi$
$90$	0.564602	+	1.73767i	0.0595143	+	0.183166i
$91$	7.57337	+	5.50238i	0.793905	+	0.576806i
$92$	−9.04870	+	6.57426i	−0.943392	+	0.685414i
$93$	0.00660190	−	0.0203186i	0.000684585	−	0.00210694i
$94$	2.15652	−	6.63708i	0.222428	−	0.684562i
$95$	−4.86606	+	3.53540i	−0.499247	+	0.362725i
$96$	−5.26531	−	3.82547i	−0.537389	−	0.390436i
$97$	−0.587045	−	1.80674i	−0.0596054	−	0.183446i	0.916820	−	0.399300i	$-0.130747\pi$
$97$	−0.587045	−	1.80674i	−0.0596054	−	0.183446i	−0.976426	+	0.215853i	$0.930747\pi$
$98$	−7.21182			−0.728504
$99$	−3.25181	+	0.652498i	−0.326819	+	0.0655785i
$100$	1.33826			0.133826
$101$	2.07354	+	6.38170i	0.206325	+	0.635003i	0.999656	+	0.0262128i	$0.00834474\pi$
$101$	2.07354	+	6.38170i	0.206325	+	0.635003i	−0.793332	+	0.608790i	$0.791655\pi$
$102$	10.8359	+	7.87272i	1.07291	+	0.779515i
$103$	3.43572	−	2.49620i	0.338532	−	0.245958i	−0.405510	−	0.914090i	$-0.632906\pi$
$103$	3.43572	−	2.49620i	0.338532	−	0.245958i	0.744042	+	0.668133i	$0.232906\pi$
$104$	2.00174	−	6.16074i	0.196287	−	0.604110i
$105$	−0.539926	+	1.66172i	−0.0526914	+	0.162167i
$106$	−2.46980	+	1.79442i	−0.239888	+	0.174289i
$107$	12.7202	+	9.24174i	1.22970	+	0.893433i	0.996868	−	0.0790831i	$-0.0251992\pi$
$107$	12.7202	+	9.24174i	1.22970	+	0.893433i	0.232837	+	0.972516i	$0.425199\pi$
$108$	−0.413545	−	1.27276i	−0.0397934	−	0.122472i
$109$	4.23895			0.406018			0.203009	−	0.979177i	$-0.434928\pi$
$109$	4.23895			0.406018			0.203009	+	0.979177i	$0.434928\pi$
$110$	−0.702153	+	6.01896i	−0.0669477	+	0.573885i
$111$	1.12165			0.106462
$112$	−2.63785	−	8.11848i	−0.249254	−	0.767124i
$113$	5.82203	+	4.22996i	0.547691	+	0.397921i	0.826933	−	0.562300i	$-0.190083\pi$
$113$	5.82203	+	4.22996i	0.547691	+	0.397921i	−0.279242	+	0.960221i	$0.590083\pi$
$114$	8.89074	−	6.45950i	0.832694	−	0.604988i
$115$	2.58268	−	7.94866i	0.240836	−	0.741216i
$116$	2.29029	−	7.04879i	0.212648	−	0.654463i
$117$	4.33448	−	3.14919i	0.400723	−	0.291142i
$118$	−8.37122	−	6.08205i	−0.770633	−	0.559898i
$119$	3.95804	+	12.1816i	0.362833	+	1.11668i
$120$	1.20906			0.110371
$121$	−10.7046	−	2.53200i	−0.973148	−	0.230181i
$122$	16.9550			1.53503
$123$	1.13095	+	3.48070i	0.101974	+	0.313845i
$124$	0.0231305	+	0.0168053i	0.00207718	+	0.00150916i
$125$	−0.809017	+	0.587785i	−0.0723607	+	0.0525731i
$126$	0.986494	−	3.03612i	0.0878839	−	0.270479i
$127$	3.92051	−	12.0661i	0.347889	−	1.07069i	−0.612130	−	0.790757i	$-0.709687\pi$
$127$	3.92051	−	12.0661i	0.347889	−	1.07069i	0.960019	−	0.279935i	$-0.0903131\pi$
$128$	−7.39685	+	5.37413i	−0.653796	+	0.475010i
$129$	−1.59336	−	1.15764i	−0.140287	−	0.101925i
$130$	−3.02498	−	9.30992i	−0.265308	−	0.816534i
$131$	−0.970102			−0.0847582			−0.0423791	−	0.999102i	$-0.513494\pi$
$131$	−0.970102			−0.0847582			−0.0423791	+	0.999102i	$0.513494\pi$
$132$	0.514295	−	4.40861i	0.0447637	−	0.383721i
$133$	10.5093			0.911268
$134$	0.197887	+	0.609032i	0.0170948	+	0.0526124i
$135$	0.809017	+	0.587785i	0.0696291	+	0.0505885i
$136$	7.17051	−	5.20968i	0.614866	−	0.446726i
$137$	1.30416	−	4.01379i	0.111422	−	0.342921i	−0.879762	−	0.475414i	$-0.842298\pi$
$137$	1.30416	−	4.01379i	0.111422	−	0.342921i	0.991184	+	0.132493i	$0.0422982\pi$
$138$	−4.71878	+	14.5229i	−0.401690	+	1.23627i
$139$	−7.15855	+	5.20099i	−0.607180	+	0.441142i	−0.848420	−	0.529323i	$-0.822446\pi$
$139$	−7.15855	+	5.20099i	−0.607180	+	0.441142i	0.241240	+	0.970465i	$0.422446\pi$
$140$	−1.89169	−	1.37440i	−0.159877	−	0.116158i
$141$	−1.18030	−	3.63259i	−0.0993993	−	0.305919i
$142$	8.29167			0.695821
$143$	17.4223	−	3.49590i	1.45692	−	0.292342i
$144$	−4.88558			−0.407132
$145$	1.71139	+	5.26712i	0.142123	+	0.437411i
$146$	−14.9877	−	10.8892i	−1.24039	−	0.901197i
$147$	−3.19332	+	2.32008i	−0.263380	+	0.191357i
$148$	−0.463852	+	1.42759i	−0.0381284	+	0.117347i
$149$	2.95222	−	9.08598i	0.241855	−	0.744353i	−0.754283	−	0.656549i	$-0.772015\pi$
$149$	2.95222	−	9.08598i	0.241855	−	0.744353i	0.996138	−	0.0878033i	$-0.0279847\pi$
$150$	1.47815	−	1.07394i	0.120690	−	0.0876866i
$151$	5.46214	+	3.96848i	0.444503	+	0.322950i	0.787422	−	0.616415i	$-0.211416\pi$
$151$	5.46214	+	3.96848i	0.444503	+	0.322950i	−0.342919	+	0.939365i	$0.611416\pi$
$152$	−2.24724	−	6.91629i	−0.182275	−	0.560985i
$153$	7.33070			0.592652
$154$	7.17400	−	7.78696i	0.578097	−	0.627491i
$155$	−0.0213642			−0.00171601
$156$	2.21566	+	6.81910i	0.177395	+	0.545965i
$157$	10.2425	+	7.44162i	0.817441	+	0.593906i	0.915978	−	0.401228i	$-0.131416\pi$
$157$	10.2425	+	7.44162i	0.817441	+	0.593906i	−0.0985374	+	0.995133i	$0.531416\pi$
$158$	−3.78999	+	2.75359i	−0.301515	+	0.219064i
$159$	−0.516329	+	1.58910i	−0.0409475	+	0.126024i
$160$	−2.01117	+	6.18975i	−0.158997	+	0.489342i
$161$	−11.8140	+	8.58338i	−0.931074	+	0.676465i
$162$	−1.47815	−	1.07394i	−0.116134	−	0.0843765i
$163$	−7.23278	−	22.2602i	−0.566515	−	1.74355i	−0.663407	−	0.748259i	$-0.730890\pi$
$163$	−7.23278	−	22.2602i	−0.566515	−	1.74355i	0.0968923	−	0.995295i	$-0.469110\pi$
$164$	−4.89781			−0.382454
$165$	1.62543	+	2.89102i	0.126539	+	0.225066i
$166$	−29.3805			−2.28037
$167$	0.943091	+	2.90254i	0.0729786	+	0.224605i	0.980892	−	0.194553i	$-0.0623255\pi$
$167$	0.943091	+	2.90254i	0.0729786	+	0.224605i	−0.907913	+	0.419158i	$0.862325\pi$
$168$	−1.70906	−	1.24170i	−0.131857	−	0.0957994i
$169$	−12.7057	+	9.23123i	−0.977362	+	0.710095i
$170$	4.13893	−	12.7383i	0.317442	−	0.976985i
$171$	1.85867	−	5.72040i	0.142136	−	0.437450i
$172$	2.13233	−	1.54923i	0.162589	−	0.118128i
$173$	−12.9503	−	9.40893i	−0.984592	−	0.715348i	−0.0258617	−	0.999666i	$-0.508233\pi$
$173$	−12.9503	−	9.40893i	−0.984592	−	0.715348i	−0.958730	+	0.284318i	$0.908233\pi$
$174$	−3.12687	−	9.62351i	−0.237047	−	0.729557i
$175$	1.74724			0.132079
$176$	−14.7266	−	6.75911i	−1.11006	−	0.509487i
$177$	−5.66332			−0.425681
$178$	−8.19021	−	25.2069i	−0.613883	−	1.88934i
$179$	15.6133	+	11.3437i	1.16699	+	0.847870i	0.990646	−	0.136458i	$-0.0435719\pi$
$179$	15.6133	+	11.3437i	1.16699	+	0.847870i	0.176347	+	0.984328i	$0.443572\pi$
$180$	−1.08268	+	0.786610i	−0.0806979	+	0.0586305i
$181$	−3.76724	+	11.5944i	−0.280017	+	0.861804i	0.707831	+	0.706382i	$0.249674\pi$
$181$	−3.76724	+	11.5944i	−0.280017	+	0.861804i	−0.987848	+	0.155422i	$0.950326\pi$
$182$	−5.28536	+	16.2667i	−0.391777	+	1.20576i
$183$	7.50749	−	5.45451i	0.554970	−	0.403209i
$184$	8.17508	+	5.93954i	0.602675	+	0.437869i
$185$	−0.346608	−	1.06675i	−0.0254831	−	0.0784290i
$186$	0.0390343			0.00286214
$187$	22.0969	+	10.1419i	1.61589	+	0.741649i
$188$	5.11153			0.372797
$189$	−0.539926	−	1.66172i	−0.0392739	−	0.120873i
$190$	−8.89074	−	6.45950i	−0.645002	−	0.468621i
$191$	10.8605	−	7.89064i	0.785841	−	0.570947i	−0.120885	−	0.992666i	$-0.538573\pi$
$191$	10.8605	−	7.89064i	0.785841	−	0.570947i	0.906726	+	0.421720i	$0.138573\pi$
$192$	0.655137	−	2.01630i	0.0472804	−	0.145514i
$193$	2.34167	−	7.20693i	0.168557	−	0.518766i	−0.830723	−	0.556685i	$-0.812073\pi$
$193$	2.34167	−	7.20693i	0.168557	−	0.518766i	0.999281	+	0.0379190i	$0.0120729\pi$
$194$	2.80806	−	2.04018i	0.201607	−	0.146476i
$195$	−4.33448	−	3.14919i	−0.310399	−	0.225518i
$196$	−1.63233	−	5.02379i	−0.116595	−	0.358842i
$197$	−6.89118			−0.490976			−0.245488	−	0.969400i	$-0.578948\pi$
$197$	−6.89118			−0.490976			−0.245488	+	0.969400i	$0.578948\pi$
$198$	−2.96980	−	5.28215i	−0.211055	−	0.375386i
$199$	0.639398			0.0453257			0.0226629	−	0.999743i	$-0.492786\pi$
$199$	0.639398			0.0453257			0.0226629	+	0.999743i	$0.492786\pi$
$200$	−0.373619	−	1.14988i	−0.0264189	−	0.0813089i
$201$	0.283551	+	0.206012i	0.0200002	+	0.0145310i
$202$	−9.91854	+	7.20624i	−0.697866	+	0.507029i
$203$	2.99021	−	9.20292i	0.209872	−	0.645918i
$204$	−3.03158	+	9.33024i	−0.212253	+	0.653248i
$205$	2.96086	−	2.15119i	0.206796	−	0.150246i
$206$	6.27737	+	4.56078i	0.437365	+	0.317765i
$207$	2.58268	+	7.94866i	0.179508	+	0.552470i
$208$	26.1755			1.81495
$209$	13.5167	−	14.6715i	0.934966	−	1.01485i
$210$	−3.19236			−0.220294
$211$	−1.18090	−	3.63445i	−0.0812968	−	0.250206i	0.902144	−	0.431435i	$-0.141992\pi$
$211$	−1.18090	−	3.63445i	−0.0812968	−	0.250206i	−0.983441	+	0.181229i	$0.941992\pi$
$212$	−1.80902	−	1.31433i	−0.124244	−	0.0902684i
$213$	3.67147	−	2.66748i	0.251565	−	0.182772i
$214$	−8.87723	+	27.3213i	−0.606835	+	1.86765i
$215$	−0.608609	+	1.87310i	−0.0415068	+	0.127745i
$216$	−0.978148	+	0.710666i	−0.0665545	+	0.0483547i
$217$	0.0301993	+	0.0219411i	0.00205006	+	0.00148946i
$218$	2.39332	+	7.36589i	0.162096	+	0.498881i
$219$	−10.1395			−0.685165
$220$	−4.35177	+	0.873212i	−0.293396	+	0.0588720i
$221$	−39.2758			−2.64198
$222$	0.633284	+	1.94905i	0.0425033	+	0.130812i
$223$	21.6171	+	15.7057i	1.44758	+	1.05173i	0.986388	+	0.164434i	$0.0525797\pi$
$223$	21.6171	+	15.7057i	1.44758	+	1.05173i	0.461197	+	0.887298i	$0.347420\pi$
$224$	9.19975	−	6.68401i	0.614684	−	0.446594i
$225$	0.309017	−	0.951057i	0.0206011	−	0.0634038i
$226$	−4.06312	+	12.5050i	−0.270275	+	0.831820i
$227$	−9.90020	+	7.19291i	−0.657099	+	0.477411i	−0.865682	−	0.500594i	$-0.833115\pi$
$227$	−9.90020	+	7.19291i	−0.657099	+	0.477411i	0.208583	+	0.978005i	$0.433115\pi$
$228$	6.51206	+	4.73129i	0.431272	+	0.313337i
$229$	−2.06628	−	6.35937i	−0.136544	−	0.420239i	0.859283	−	0.511500i	$-0.170910\pi$
$229$	−2.06628	−	6.35937i	−0.136544	−	0.420239i	−0.995827	+	0.0912615i	$0.970910\pi$
$230$	15.2703			1.00689
$231$	0.671466	−	5.75590i	0.0441792	−	0.378710i
$232$	−6.69598			−0.439612
$233$	−2.01399	−	6.19844i	−0.131941	−	0.406073i	0.863161	−	0.504930i	$-0.168482\pi$
$233$	−2.01399	−	6.19844i	−0.131941	−	0.406073i	−0.995102	+	0.0988565i	$0.968482\pi$
$234$	7.91949	+	5.75385i	0.517714	+	0.376141i
$235$	−3.09007	+	2.24507i	−0.201574	+	0.146452i
$236$	2.34204	−	7.20806i	0.152454	−	0.469205i
$237$	−0.792323	+	2.43852i	−0.0514669	+	0.158399i
$238$	−18.9328	+	13.7555i	−1.22723	+	0.891637i
$239$	8.77126	+	6.37269i	0.567366	+	0.412215i	0.834147	−	0.551542i	$-0.185960\pi$
$239$	8.77126	+	6.37269i	0.567366	+	0.412215i	−0.266782	+	0.963757i	$0.585960\pi$
$240$	1.50973	+	4.64646i	0.0974525	+	0.299928i
$241$	27.1803			1.75084			0.875420	−	0.483363i	$-0.160585\pi$
$241$	27.1803			1.75084			0.875420	+	0.483363i	$0.160585\pi$
$242$	−1.64409	−	20.0306i	−0.105686	−	1.28762i
$243$	−1.00000			−0.0641500
$244$	3.83761	+	11.8109i	0.245678	+	0.756118i
$245$	3.19332	+	2.32008i	0.204014	+	0.148225i
$246$	−5.40977	+	3.93043i	−0.344914	+	0.250595i
$247$	−9.95823	+	30.6483i	−0.633627	+	1.95010i
$248$	0.00798208	−	0.0245663i	0.000506862	−	0.00155996i
$249$	−13.0094	+	9.45188i	−0.824437	+	0.598989i
$250$	−1.47815	−	1.07394i	−0.0934863	−	0.0679217i
$251$	1.71332	+	5.27307i	0.108144	+	0.332833i	0.990455	−	0.137833i	$-0.0440137\pi$
$251$	1.71332	+	5.27307i	0.108144	+	0.332833i	−0.882311	+	0.470666i	$0.844014\pi$
$252$	2.33826			0.147297
$253$	−3.21188	+	27.5327i	−0.201929	+	1.73097i
$254$	23.1804			1.45447
$255$	−2.26531	−	6.97191i	−0.141859	−	0.436598i
$256$	−16.9451	−	12.3113i	−1.05907	−	0.769457i
$257$	15.3260	−	11.1350i	0.956008	−	0.694580i	0.00378765	−	0.999993i	$-0.498794\pi$
$257$	15.3260	−	11.1350i	0.956008	−	0.694580i	0.952220	+	0.305413i	$0.0987944\pi$
$258$	1.11198	−	3.42233i	0.0692291	−	0.213065i
$259$	−0.605607	+	1.86387i	−0.0376306	+	0.115815i
$260$	5.80067	−	4.21443i	0.359742	−	0.261368i
$261$	−4.48048	−	3.25526i	−0.277335	−	0.201496i
$262$	−0.547722	−	1.68571i	−0.0338384	−	0.104144i
$263$	3.20873			0.197859			0.0989293	−	0.995094i	$-0.468458\pi$
$263$	3.20873			0.197859			0.0989293	+	0.995094i	$0.468458\pi$
$264$	−3.93162	+	0.788907i	−0.241974	+	0.0485539i
$265$	1.67088			0.102641
$266$	5.93355	+	18.2616i	0.363809	+	1.11969i
$267$	−11.7357	−	8.52651i	−0.718215	−	0.521814i
$268$	−0.379466	+	0.275698i	−0.0231796	+	0.0168409i
$269$	−1.00252	+	3.08544i	−0.0611248	+	0.188123i	−0.976956	−	0.213441i	$-0.931533\pi$
$269$	−1.00252	+	3.08544i	−0.0611248	+	0.188123i	0.915831	+	0.401563i	$0.131533\pi$
$270$	−0.564602	+	1.73767i	−0.0343606	+	0.105751i
$271$	1.64212	−	1.19307i	0.0997517	−	0.0724738i	−0.536791	−	0.843715i	$-0.680364\pi$
$271$	1.64212	−	1.19307i	0.0997517	−	0.0724738i	0.636543	+	0.771241i	$0.280364\pi$
$272$	28.9747	+	21.0514i	1.75685	+	1.27643i
$273$	2.89277	+	8.90304i	0.175078	+	0.538836i
$274$	7.71096			0.465836
$275$	2.24724	−	2.43925i	0.135514	−	0.147092i
$276$	−11.1848			−0.673246
$277$	3.49701	+	10.7627i	0.210115	+	0.646668i	0.999464	+	0.0327234i	$0.0104180\pi$
$277$	3.49701	+	10.7627i	0.210115	+	0.646668i	−0.789349	+	0.613944i	$0.789582\pi$
$278$	−13.0793	−	9.50268i	−0.784446	−	0.569933i
$279$	0.0172840	−	0.0125576i	0.00103477	−	0.000751802i
$280$	−0.652802	+	2.00912i	−0.0390124	+	0.120068i
$281$	−3.18835	+	9.81272i	−0.190201	+	0.585378i	−0.999999	−	0.00133051i	$-0.999576\pi$
$281$	−3.18835	+	9.81272i	−0.190201	+	0.585378i	0.809798	+	0.586708i	$0.199576\pi$
$282$	5.64583	−	4.10194i	0.336205	−	0.244267i
$283$	1.70370	+	1.23781i	0.101274	+	0.0735801i	0.637270	−	0.770641i	$-0.280064\pi$
$283$	1.70370	+	1.23781i	0.101274	+	0.0735801i	−0.535996	+	0.844221i	$0.680064\pi$
$284$	1.87674	+	5.77602i	0.111364	+	0.342744i
$285$	−6.01478			−0.356285
$286$	15.9113	+	28.3003i	0.940858	+	1.67343i
$287$	−6.39459			−0.377461
$288$	−2.01117	−	6.18975i	−0.118509	−	0.364734i
$289$	−29.7227	−	21.5948i	−1.74839	−	1.27028i
$290$	−8.18625	+	5.94766i	−0.480713	+	0.349259i
$291$	0.587045	−	1.80674i	0.0344132	−	0.105913i
$292$	4.19315	−	12.9052i	0.245386	−	0.755220i
$293$	18.9111	−	13.7398i	1.10480	−	0.802685i	0.122964	−	0.992411i	$-0.460760\pi$
$293$	18.9111	−	13.7398i	1.10480	−	0.802685i	0.981837	+	0.189726i	$0.0607600\pi$
$294$	−5.83448	−	4.23900i	−0.340274	−	0.247223i
$295$	1.75006	+	5.38614i	0.101893	+	0.313593i
$296$	1.35614			0.0788238
$297$	−3.01430	−	1.38348i	−0.174907	−	0.0802778i
$298$	17.4552			1.01115
$299$	−13.8372	−	42.5867i	−0.800228	−	2.46285i
$300$	1.08268	+	0.786610i	0.0625083	+	0.0454150i
$301$	2.78398	−	2.02268i	0.160466	−	0.116585i
$302$	−3.81196	+	11.7320i	−0.219353	+	0.675100i
$303$	−2.07354	+	6.38170i	−0.119122	+	0.366619i
$304$	23.7735	−	17.2725i	1.36351	−	0.990645i
$305$	−7.50749	−	5.45451i	−0.429878	−	0.312325i
$306$	4.13893	+	12.7383i	0.236607	+	0.728201i
$307$	−32.0518			−1.82929			−0.914646	−	0.404256i	$-0.867531\pi$
$307$	−32.0518			−1.82929			−0.914646	+	0.404256i	$0.867531\pi$
$308$	7.04821	+	3.23494i	0.401609	+	0.184328i
$309$	4.24678			0.241591
$310$	−0.0120623	−	0.0371239i	−0.000685091	−	0.00210849i
$311$	−1.32220	−	0.960634i	−0.0749751	−	0.0544726i	0.549666	−	0.835384i	$-0.314755\pi$
$311$	−1.32220	−	0.960634i	−0.0749751	−	0.0544726i	−0.624641	+	0.780912i	$0.714755\pi$
$312$	5.24064	−	3.80755i	0.296693	−	0.215560i
$313$	9.39813	−	28.9245i	0.531214	−	1.63491i	−0.220477	−	0.975392i	$-0.570761\pi$
$313$	9.39813	−	28.9245i	0.531214	−	1.63491i	0.751691	−	0.659516i	$-0.229239\pi$
$314$	−7.14811	+	21.9996i	−0.403391	+	1.24151i
$315$	−1.41355	+	1.02700i	−0.0796443	+	0.0578649i
$316$	−2.77599	−	2.01688i	−0.156162	−	0.113458i
$317$	−9.09561	−	27.9934i	−0.510861	−	1.57227i	−0.790690	−	0.612217i	$-0.790278\pi$
$317$	−9.09561	−	27.9934i	−0.510861	−	1.57227i	0.279829	−	0.960050i	$-0.409722\pi$
$318$	−3.05284			−0.171195
$319$	−9.00190	−	16.0110i	−0.504010	−	0.896443i
$320$	−2.12007			−0.118515
$321$	4.85867	+	14.9534i	0.271185	+	0.834620i
$322$	−21.5853	−	15.6826i	−1.20290	−	0.873958i
$323$	−35.6717	+	25.9170i	−1.98482	+	1.44206i
$324$	0.413545	−	1.27276i	0.0229747	−	0.0707090i
$325$	−1.65563	+	5.09549i	−0.0918376	+	0.282647i
$326$	34.5972	−	25.1363i	1.91616	−	1.39217i
$327$	3.42939	+	2.49159i	0.189645	+	0.137786i
$328$	1.36738	+	4.20837i	0.0755010	+	0.232368i
$329$	6.67364			0.367929
$330$	−4.10591	+	4.45672i	−0.226023	+	0.245335i
$331$	−22.7902			−1.25266			−0.626332	−	0.779557i	$-0.715444\pi$
$331$	−22.7902			−1.25266			−0.626332	+	0.779557i	$0.715444\pi$
$332$	−6.65002	−	20.4666i	−0.364967	−	1.12325i
$333$	0.907432	+	0.659288i	0.0497270	+	0.0361287i
$334$	−4.51117	+	3.27756i	−0.246840	+	0.179340i
$335$	0.108307	−	0.333334i	0.00591744	−	0.0182120i
$336$	2.63785	−	8.11848i	0.143907	−	0.442899i
$337$	11.7227	−	8.51705i	0.638577	−	0.463954i	−0.220784	−	0.975323i	$-0.570862\pi$
$337$	11.7227	−	8.51705i	0.638577	−	0.463954i	0.859361	+	0.511369i	$0.170862\pi$
$338$	−23.2145	−	16.8663i	−1.26270	−	0.917406i
$339$	2.22382	+	6.84421i	0.120781	+	0.371727i
$340$	9.81040			0.532043
$341$	0.0694723	−	0.0139401i	0.00376213	−	0.000754899i
$342$	10.9896			0.594247
$343$	−5.91066	−	18.1911i	−0.319146	−	0.982229i
$344$	−1.92646	−	1.39966i	−0.103868	−	0.0754644i
$345$	6.76153	−	4.91254i	0.364029	−	0.264482i
$346$	9.03783	−	27.8156i	0.485877	−	1.49537i
$347$	1.35574	−	4.17255i	0.0727802	−	0.223994i	−0.908049	−	0.418864i	$-0.862428\pi$
$347$	1.35574	−	4.17255i	0.0727802	−	0.223994i	0.980829	+	0.194870i	$0.0624284\pi$
$348$	5.99606	−	4.35639i	0.321422	−	0.233527i
$349$	−11.6548	−	8.46769i	−0.623866	−	0.453265i	0.230404	−	0.973095i	$-0.425995\pi$
$349$	−11.6548	−	8.46769i	−0.623866	−	0.453265i	−0.854270	+	0.519830i	$0.825995\pi$
$350$	0.986494	+	3.03612i	0.0527303	+	0.162287i
$351$	5.35772			0.285974
$352$	2.50114	−	21.4401i	0.133311	−	1.14276i
$353$	−6.01065			−0.319914			−0.159957	−	0.987124i	$-0.551136\pi$
$353$	−6.01065			−0.319914			−0.159957	+	0.987124i	$0.551136\pi$
$354$	−3.19752	−	9.84096i	−0.169946	−	0.523041i
$355$	−3.67147	−	2.66748i	−0.194861	−	0.141575i
$356$	15.7055	−	11.4107i	0.832389	−	0.604766i
$357$	−3.95804	+	12.1816i	−0.209482	+	0.644718i
$358$	−10.8963	+	33.5354i	−0.575888	+	1.77240i
$359$	1.98787	−	1.44428i	0.104916	−	0.0762259i	−0.534090	−	0.845427i	$-0.679346\pi$
$359$	1.98787	−	1.44428i	0.104916	−	0.0762259i	0.639006	+	0.769201i	$0.279346\pi$
$360$	0.978148	+	0.710666i	0.0515529	+	0.0374554i
$361$	5.30818	+	16.3369i	0.279378	+	0.859836i
$362$	−22.2742			−1.17070
$363$	−7.17195	−	8.34045i	−0.376430	−	0.437760i
$364$	−12.5277			−0.656632
$365$	3.13328	+	9.64326i	0.164004	+	0.504751i
$366$	13.7169	+	9.96589i	0.716992	+	0.520926i
$367$	−1.19726	+	0.869862i	−0.0624966	+	0.0454064i	−0.618595	−	0.785710i	$-0.712298\pi$
$367$	−1.19726	+	0.869862i	−0.0624966	+	0.0454064i	0.556098	+	0.831116i	$0.312298\pi$
$368$	−12.6179	+	38.8338i	−0.657752	+	2.02435i
$369$	−1.13095	+	3.48070i	−0.0588749	+	0.181198i
$370$	1.65796	−	1.20458i	0.0861933	−	0.0626231i
$371$	−2.36186	−	1.71599i	−0.122622	−	0.0890898i
$372$	0.00883507	+	0.0271915i	0.000458077	+	0.00140982i
$373$	−24.3331			−1.25992			−0.629961	−	0.776627i	$-0.716929\pi$
$373$	−24.3331			−1.25992			−0.629961	+	0.776627i	$0.716929\pi$
$374$	−5.14728	+	44.1232i	−0.266159	+	2.28156i
$375$	−1.00000			−0.0516398
$376$	−1.42705	−	4.39201i	−0.0735945	−	0.226501i
$377$	24.0052	+	17.4408i	1.23633	+	0.898245i
$378$	2.58268	−	1.87642i	0.132839	−	0.0965128i
$379$	4.92299	−	15.1514i	0.252877	−	0.778276i	−0.741363	−	0.671104i	$-0.765820\pi$
$379$	4.92299	−	15.1514i	0.252877	−	0.778276i	0.994241	−	0.107172i	$-0.0341795\pi$
$380$	2.48739	−	7.65539i	0.127600	−	0.392713i
$381$	10.2640	−	7.45726i	0.525842	−	0.382047i
$382$	19.8432	+	14.4169i	1.01527	+	0.737634i
$383$	−1.21133	−	3.72809i	−0.0618960	−	0.190496i	0.915327	−	0.402712i	$-0.131932\pi$
$383$	−1.21133	−	3.72809i	−0.0618960	−	0.190496i	−0.977223	+	0.212215i	$0.931932\pi$
$384$	−9.14301			−0.466577
$385$	−5.68168	+	1.14007i	−0.289565	+	0.0581033i
$386$	13.8454			0.704710
$387$	−0.608609	−	1.87310i	−0.0309373	−	0.0952153i
$388$	2.05678	+	1.49434i	0.104417	+	0.0758635i
$389$	28.5510	−	20.7435i	1.44759	−	1.05174i	0.461209	−	0.887292i	$-0.347416\pi$
$389$	28.5510	−	20.7435i	1.44759	−	1.05174i	0.986386	−	0.164447i	$-0.0525840\pi$
$390$	3.02498	−	9.30992i	0.153176	−	0.471426i
$391$	18.9328	−	58.2693i	0.957475	−	2.94680i
$392$	−3.86090	+	2.80511i	−0.195005	+	0.141679i
$393$	−0.784829	−	0.570212i	−0.0395894	−	0.0287634i
$394$	−3.89078	−	11.9746i	−0.196015	−	0.603271i
$395$	2.56401			0.129009
$396$	3.00739	−	3.26435i	0.151127	−	0.164040i
$397$	23.2231			1.16553			0.582767	−	0.812639i	$-0.301970\pi$
$397$	23.2231			1.16553			0.582767	+	0.812639i	$0.301970\pi$
$398$	0.361006	+	1.11106i	0.0180956	+	0.0556925i
$399$	8.50217	+	6.17719i	0.425641	+	0.309246i
$400$	3.95252	−	2.87167i	0.197626	−	0.143584i
$401$	1.75973	−	5.41589i	0.0878766	−	0.270457i	−0.897455	−	0.441106i	$-0.854586\pi$
$401$	1.75973	−	5.41589i	0.0878766	−	0.270457i	0.985332	+	0.170649i	$0.0545864\pi$
$402$	−0.197887	+	0.609032i	−0.00986969	+	0.0303758i
$403$	−0.0926028	+	0.0672799i	−0.00461287	+	0.00335145i
$404$	−7.26488	−	5.27824i	−0.361441	−	0.262602i
$405$	0.309017	+	0.951057i	0.0153552	+	0.0472584i
$406$	17.6799			0.877438
$407$	1.82315	+	3.24270i	0.0903704	+	0.160735i
$408$	8.86324			0.438796
$409$	7.86540	+	24.2072i	0.388919	+	1.19697i	0.933597	+	0.358324i	$0.116652\pi$
$409$	7.86540	+	24.2072i	0.388919	+	1.19697i	−0.544679	+	0.838645i	$0.683348\pi$
$410$	5.40977	+	3.93043i	0.267169	+	0.194110i
$411$	3.41434	−	2.48066i	0.168417	−	0.122362i
$412$	−1.75624	+	5.40515i	−0.0865237	+	0.266292i
$413$	3.05777	−	9.41086i	0.150463	−	0.463078i
$414$	−12.3539	+	8.97566i	−0.607163	+	0.441130i
$415$	13.0094	+	9.45188i	0.638606	+	0.463975i
$416$	10.7753	+	33.1629i	0.528301	+	1.62594i
$417$	−8.84846			−0.433311
$418$	33.1258	+	15.2039i	1.62023	+	0.743645i
$419$	−13.4850			−0.658786			−0.329393	−	0.944193i	$-0.606844\pi$
$419$	−13.4850			−0.658786			−0.329393	+	0.944193i	$0.606844\pi$
$420$	−0.722562	−	2.22382i	−0.0352574	−	0.108511i
$421$	−2.38633	−	1.73377i	−0.116303	−	0.0844990i	0.528113	−	0.849174i	$-0.322900\pi$
$421$	−2.38633	−	1.73377i	−0.116303	−	0.0844990i	−0.644416	+	0.764675i	$0.722900\pi$
$422$	5.64872	−	4.10404i	0.274975	−	0.199781i
$423$	1.18030	−	3.63259i	0.0573882	−	0.176623i
$424$	−0.624271	+	1.92131i	−0.0303173	+	0.0933070i
$425$	−5.93066	+	4.30888i	−0.287679	+	0.209011i
$426$	6.70810	+	4.87372i	0.325009	+	0.236133i
$427$	5.01039	+	15.4204i	0.242470	+	0.746246i
$428$	−21.0415			−1.01708
$429$	16.1497	+	7.41230i	0.779717	+	0.357869i
$430$	−3.59845			−0.173533
$431$	3.56072	+	10.9588i	0.171514	+	0.527866i	0.999457	−	0.0329464i	$-0.0104891\pi$
$431$	3.56072	+	10.9588i	0.171514	+	0.527866i	−0.827943	+	0.560812i	$0.810489\pi$
$432$	−3.95252	−	2.87167i	−0.190166	−	0.138163i
$433$	−9.03174	+	6.56194i	−0.434038	+	0.315347i	−0.783261	−	0.621693i	$-0.786445\pi$
$433$	−9.03174	+	6.56194i	−0.434038	+	0.315347i	0.349224	+	0.937039i	$0.386445\pi$
$434$	−0.0210757	+	0.0648642i	−0.00101166	+	0.00311358i
$435$	−1.71139	+	5.26712i	−0.0820550	+	0.252539i
$436$	−4.58941	+	3.33440i	−0.219793	+	0.159689i
$437$	−40.6692	−	29.5479i	−1.94547	−	1.41347i
$438$	−5.72480	−	17.6191i	−0.273541	−	0.841874i
$439$	0.993624			0.0474231			0.0237115	−	0.999719i	$-0.492452\pi$
$439$	0.993624			0.0474231			0.0237115	+	0.999719i	$0.492452\pi$
$440$	1.96523	+	3.49541i	0.0936888	+	0.166637i
$441$	−3.94716			−0.187960
$442$	−22.1752	−	68.2483i	−1.05477	−	3.24624i
$443$	8.88506	+	6.45537i	0.422142	+	0.306704i	0.778499	−	0.627646i	$-0.215981\pi$
$443$	8.88506	+	6.45537i	0.422142	+	0.306704i	−0.356357	+	0.934350i	$0.615981\pi$
$444$	−1.21438	+	0.882299i	−0.0576320	+	0.0418721i
$445$	−4.48265	+	13.7962i	−0.212498	+	0.654002i
$446$	−15.0863	+	46.4307i	−0.714355	+	2.19856i
$447$	7.72900	−	5.61545i	0.365569	−	0.265602i
$448$	2.99681	+	2.17731i	0.141586	+	0.102868i
$449$	8.96777	+	27.5999i	0.423215	+	1.30252i	0.904693	+	0.426064i	$0.140100\pi$
$449$	8.96777	+	27.5999i	0.423215	+	1.30252i	−0.481478	+	0.876458i	$0.659900\pi$
$450$	1.82709			0.0861299
$451$	−8.22451	+	8.92722i	−0.387277	+	0.420366i
$452$	−9.63070			−0.452990
$453$	2.08635	+	6.42113i	0.0980254	+	0.301691i
$454$	−18.0886	−	13.1421i	−0.848938	−	0.616790i
$455$	7.57337	−	5.50238i	0.355045	−	0.257955i
$456$	2.24724	−	6.91629i	0.105237	−	0.323885i
$457$	−1.09908	+	3.38262i	−0.0514129	+	0.158232i	−0.973466	−	0.228830i	$-0.926510\pi$
$457$	−1.09908	+	3.38262i	−0.0514129	+	0.158232i	0.922054	+	0.387062i	$0.126510\pi$
$458$	9.88383	−	7.18103i	0.461841	−	0.335547i
$459$	5.93066	+	4.30888i	0.276820	+	0.201121i
$460$	3.45630	+	10.6374i	0.161151	+	0.495971i
$461$	25.1829			1.17288			0.586441	−	0.809992i	$-0.300528\pi$
$461$	25.1829			1.17288			0.586441	+	0.809992i	$0.300528\pi$
$462$	10.3809	−	2.08301i	0.482965	−	0.0969104i
$463$	−17.8743			−0.830690			−0.415345	−	0.909664i	$-0.636339\pi$
$463$	−17.8743			−0.830690			−0.415345	+	0.909664i	$0.636339\pi$
$464$	−8.36114	−	25.7329i	−0.388156	−	1.19462i
$465$	−0.0172840	−	0.0125576i	−0.000801526	−	0.000582343i
$466$	9.63371	−	6.99930i	0.446273	−	0.324236i
$467$	−7.79502	+	23.9906i	−0.360711	+	1.11015i	0.591913	+	0.806002i	$0.298373\pi$
$467$	−7.79502	+	23.9906i	−0.360711	+	1.11015i	−0.952624	+	0.304151i	$0.901627\pi$
$468$	−2.21566	+	6.81910i	−0.102419	+	0.315213i
$469$	−0.495432	+	0.359952i	−0.0228769	+	0.0166210i
$470$	−5.64583	−	4.10194i	−0.260423	−	0.189208i
$471$	3.91229	+	12.0408i	0.180269	+	0.554810i
$472$	−6.84727			−0.315171
$473$	0.756881	−	6.48809i	0.0348014	−	0.298323i
$474$	−4.68468			−0.215175
$475$	1.85867	+	5.72040i	0.0852816	+	0.262470i
$476$	−13.8674	−	10.0753i	−0.635613	−	0.461800i
$477$	−1.35177	+	0.982116i	−0.0618931	+	0.0449680i
$478$	−6.12135	+	18.8396i	−0.279984	+	0.861702i
$479$	−1.61793	+	4.97948i	−0.0739252	+	0.227518i	−0.981191	−	0.193039i	$-0.938166\pi$
$479$	−1.61793	+	4.97948i	−0.0739252	+	0.227518i	0.907266	+	0.420558i	$0.138166\pi$
$480$	−5.26531	+	3.82547i	−0.240328	+	0.174608i
$481$	−4.86176	−	3.53228i	−0.221677	−	0.161058i
$482$	15.3461	+	47.2304i	0.698995	+	2.15128i
$483$	−14.6029			−0.664456
$484$	13.5813	−	5.67904i	0.617333	−	0.258138i
$485$	−1.89972			−0.0862617
$486$	−0.564602	−	1.73767i	−0.0256109	−	0.0788222i
$487$	−7.31762	−	5.31656i	−0.331593	−	0.240917i	0.409513	−	0.912304i	$-0.365699\pi$
$487$	−7.31762	−	5.31656i	−0.331593	−	0.240917i	−0.741106	+	0.671388i	$0.765699\pi$
$488$	9.07699	−	6.59482i	0.410896	−	0.298533i
$489$	7.23278	−	22.2602i	0.327078	−	1.00664i
$490$	−2.22857	+	6.85885i	−0.100677	+	0.309851i
$491$	28.1629	−	20.4615i	1.27097	−	0.923416i	0.271733	−	0.962373i	$-0.412403\pi$
$491$	28.1629	−	20.4615i	1.27097	−	0.923416i	0.999241	+	0.0389565i	$0.0124034\pi$
$492$	−3.96241	−	2.87886i	−0.178639	−	0.129789i
$493$	12.5457	+	38.6117i	0.565030	+	1.73898i
$494$	−58.8789			−2.64909
$495$	−0.384301	+	3.29428i	−0.0172731	+	0.148067i
$496$	0.104377			0.00468664
$497$	2.45028	+	7.54120i	0.109910	+	0.338269i
$498$	−23.7694	−	17.2694i	−1.06513	−	0.773862i
$499$	−15.8561	+	11.5201i	−0.709815	+	0.515711i	−0.883114	−	0.469158i	$-0.844557\pi$
$499$	−15.8561	+	11.5201i	−0.709815	+	0.515711i	0.173299	+	0.984869i	$0.444557\pi$
$500$	0.413545	−	1.27276i	0.0184943	−	0.0569196i
$501$	−0.943091	+	2.90254i	−0.0421342	+	0.129676i
$502$	−8.19549	+	5.95437i	−0.365783	+	0.265757i
$503$	−14.8989	−	10.8247i	−0.664307	−	0.482647i	0.203808	−	0.979011i	$-0.434668\pi$
$503$	−14.8989	−	10.8247i	−0.664307	−	0.482647i	−0.868115	+	0.496364i	$0.834668\pi$
$504$	−0.652802	−	2.00912i	−0.0290781	−	0.0894932i
$505$	6.71011			0.298596
$506$	−49.6561	+	9.96384i	−2.20748	+	0.442947i
$507$	−15.7051			−0.697489
$508$	5.24667	+	16.1476i	0.232783	+	0.716433i
$509$	−1.00187	−	0.727900i	−0.0444070	−	0.0322636i	0.565360	−	0.824844i	$-0.308737\pi$
$509$	−1.00187	−	0.727900i	−0.0444070	−	0.0322636i	−0.609767	+	0.792580i	$0.708737\pi$
$510$	10.8359	−	7.87272i	0.479820	−	0.348610i
$511$	5.47459	−	16.8491i	0.242182	−	0.745359i
$512$	6.17504	−	19.0048i	0.272901	−	0.839902i
$513$	4.86606	−	3.53540i	0.214842	−	0.156092i
$514$	28.0019	+	20.3446i	1.23511	+	0.897362i
$515$	−1.31233	−	4.03893i	−0.0578281	−	0.177977i
$516$	2.63570			0.116030
$517$	8.58340	−	9.31678i	0.377498	−	0.409752i
$518$	−3.58071			−0.157327
$519$	−4.94657	−	15.2240i	−0.217130	−	0.668258i
$520$	−5.24064	−	3.80755i	−0.229817	−	0.166972i
$521$	−26.8472	+	19.5057i	−1.17620	+	0.854558i	−0.991738	−	0.128282i	$-0.959054\pi$
$521$	−26.8472	+	19.5057i	−1.17620	+	0.854558i	−0.184461	+	0.982840i	$0.559054\pi$
$522$	3.12687	−	9.62351i	0.136859	−	0.421210i
$523$	4.06383	−	12.5072i	0.177699	−	0.546901i	−0.822047	−	0.569419i	$-0.807168\pi$
$523$	4.06383	−	12.5072i	0.177699	−	0.546901i	0.999746	+	0.0225177i	$0.00716820\pi$
$524$	1.05031	−	0.763092i	0.0458829	−	0.0333359i
$525$	1.41355	+	1.02700i	0.0616922	+	0.0448220i
$526$	1.81165	+	5.57570i	0.0789919	+	0.243112i
$527$	−0.156615			−0.00682224
$528$	−7.94115	−	14.1243i	−0.345594	−	0.614681i
$529$	46.8514			2.03702
$530$	0.943380	+	2.90342i	0.0409778	+	0.126117i
$531$	−4.58172	−	3.32882i	−0.198830	−	0.144458i
$532$	−11.3781	+	8.26669i	−0.493304	+	0.358407i
$533$	6.05930	−	18.6486i	0.262458	−	0.807761i
$534$	8.19021	−	25.2069i	0.354425	−	1.09081i
$535$	12.7202	−	9.24174i	0.549941	−	0.399555i
$536$	0.342830	+	0.249080i	0.0148080	+	0.0107586i
$537$	5.96375	+	18.3545i	0.257355	+	0.792057i
$538$	−5.92750			−0.255553
$539$	−11.8979	−	5.46082i	−0.512479	−	0.235214i
$540$	−1.33826			−0.0575896
$541$	10.0900	+	31.0538i	0.433802	+	1.33511i	0.894309	+	0.447450i	$0.147668\pi$
$541$	10.0900	+	31.0538i	0.433802	+	1.33511i	−0.460507	+	0.887656i	$0.652332\pi$
$542$	3.00030	+	2.17985i	0.128874	+	0.0936324i
$543$	−9.86277	+	7.16572i	−0.423252	+	0.307511i
$544$	−14.7433	+	45.3752i	−0.632114	+	1.94545i
$545$	1.30991	−	4.03149i	0.0561103	−	0.172690i
$546$	−13.8372	+	10.0533i	−0.592179	+	0.430243i
$547$	−22.4136	−	16.2845i	−0.958338	−	0.696273i	−0.00557389	−	0.999984i	$-0.501774\pi$
$547$	−22.4136	−	16.2845i	−0.958338	−	0.696273i	−0.952764	+	0.303711i	$0.901774\pi$
$548$	1.74531	+	5.37150i	0.0745558	+	0.229459i
$549$	9.27977			0.396051
$550$	5.50739	+	2.52775i	0.234836	+	0.107784i
$551$	33.3110			1.41909
$552$	3.12260	+	9.61038i	0.132907	+	0.409045i
$553$	−3.62435	−	2.63324i	−0.154123	−	0.111977i
$554$	−16.7276	+	12.1533i	−0.710686	+	0.516343i
$555$	0.346608	−	1.06675i	0.0147127	−	0.0452810i
$556$	3.65924	−	11.2620i	0.155186	−	0.477614i
$557$	18.9514	−	13.7690i	0.802996	−	0.583411i	−0.108795	−	0.994064i	$-0.534699\pi$
$557$	18.9514	−	13.7690i	0.802996	−	0.583411i	0.911792	+	0.410653i	$0.134699\pi$
$558$	0.0315794	+	0.0229438i	0.00133686	+	0.000971289i
$559$	3.26075	+	10.0356i	0.137915	+	0.424459i
$560$	−8.53627			−0.360723
$561$	11.9155	+	21.1932i	0.503073	+	0.894778i
$562$	−18.8514			−0.795198
$563$	6.82482	+	21.0046i	0.287632	+	0.885240i	0.985597	+	0.169108i	$0.0540888\pi$
$563$	6.82482	+	21.0046i	0.287632	+	0.885240i	−0.697966	+	0.716131i	$0.745911\pi$
$564$	4.13532	+	3.00448i	0.174128	+	0.126512i
$565$	5.82203	−	4.22996i	0.244935	−	0.177956i
$566$	−1.18899	+	3.65933i	−0.0499769	+	0.153813i
$567$	0.539926	−	1.66172i	0.0226748	−	0.0697858i
$568$	4.43901	−	3.22513i	0.186257	−	0.135323i
$569$	11.1119	+	8.07328i	0.465836	+	0.338449i	0.795816	−	0.605538i	$-0.207042\pi$
$569$	11.1119	+	8.07328i	0.465836	+	0.338449i	−0.329980	+	0.943988i	$0.607042\pi$
$570$	−3.39596	−	10.4517i	−0.142241	−	0.437773i
$571$	−26.5201			−1.10983			−0.554915	−	0.831907i	$-0.687249\pi$
$571$	−26.5201			−1.10983			−0.554915	+	0.831907i	$0.687249\pi$
$572$	−16.1127	+	17.4894i	−0.673708	+	0.731271i
$573$	13.4244			0.560811
$574$	−3.61040	−	11.1117i	−0.150695	−	0.463792i
$575$	−6.76153	−	4.91254i	−0.281975	−	0.204867i
$576$	1.71517	−	1.24614i	0.0714654	−	0.0519227i
$577$	1.75758	−	5.40927i	0.0731690	−	0.225191i	−0.907783	−	0.419439i	$-0.862227\pi$
$577$	1.75758	−	5.40927i	0.0731690	−	0.225191i	0.980952	+	0.194248i	$0.0622267\pi$
$578$	20.7430	−	63.8405i	0.862797	−	2.65542i
$579$	6.13058	−	4.45413i	0.254778	−	0.185107i
$580$	−5.99606	−	4.35639i	−0.248973	−	0.180889i
$581$	−8.68228	−	26.7213i	−0.360202	−	1.10859i
$582$	3.47096			0.143876
$583$	−5.43336	+	1.09024i	−0.225027	+	0.0451532i
$584$	−12.2593			−0.507292
$585$	−1.65563	−	5.09549i	−0.0684517	−	0.210673i
$586$	34.5524	+	25.1038i	1.42735	+	1.03703i
$587$	−10.9590	+	7.96215i	−0.452324	+	0.328633i	−0.790513	−	0.612446i	$-0.790186\pi$
$587$	−10.9590	+	7.96215i	−0.452324	+	0.328633i	0.338188	+	0.941078i	$0.390186\pi$
$588$	1.63233	−	5.02379i	0.0673161	−	0.207178i
$589$	−0.0397090	+	0.122212i	−0.00163618	+	0.00503565i
$590$	−8.37122	+	6.08205i	−0.344638	+	0.250394i
$591$	−5.57508	−	4.05054i	−0.229328	−	0.166617i
$592$	1.69338	+	5.21169i	0.0695975	+	0.214199i
$593$	21.1786			0.869702			0.434851	−	0.900502i	$-0.356801\pi$
$593$	21.1786			0.869702			0.434851	+	0.900502i	$0.356801\pi$
$594$	0.702153	−	6.01896i	0.0288097	−	0.246961i
$595$	12.8085			0.525097
$596$	3.95083	+	12.1594i	0.161833	+	0.498069i
$597$	0.517284	+	0.375829i	0.0211710	+	0.0153816i
$598$	66.1889	−	48.0890i	2.70666	−	1.96651i
$599$	−10.4573	+	32.1842i	−0.427273	+	1.31501i	0.473529	+	0.880778i	$0.342980\pi$
$599$	−10.4573	+	32.1842i	−0.427273	+	1.31501i	−0.900801	+	0.434231i	$0.857020\pi$
$600$	0.373619	−	1.14988i	0.0152529	−	0.0469437i
$601$	−23.7186	+	17.2325i	−0.967500	+	0.702930i	−0.954880	−	0.296990i	$-0.904017\pi$
$601$	−23.7186	+	17.2325i	−0.967500	+	0.702930i	−0.0126196	+	0.999920i	$0.504017\pi$
$602$	5.08658	+	3.69562i	0.207313	+	0.150622i
$603$	0.108307	+	0.333334i	0.00441060	+	0.0135744i
$604$	−9.03538			−0.367644
$605$	−5.71598	+	9.39827i	−0.232388	+	0.382094i
$606$	−12.2600			−0.498028
$607$	2.21715	+	6.82370i	0.0899915	+	0.276965i	0.985916	−	0.167241i	$-0.0534857\pi$
$607$	2.21715	+	6.82370i	0.0899915	+	0.276965i	−0.895925	+	0.444206i	$0.853486\pi$
$608$	31.6697	+	23.0094i	1.28438	+	0.933154i
$609$	7.82847	−	5.68772i	0.317226	−	0.230478i
$610$	5.23938	−	16.1252i	0.212136	−	0.652888i
$611$	−6.32372	+	19.4624i	−0.255830	+	0.787364i
$612$	−7.93678	+	5.76641i	−0.320825	+	0.233093i
$613$	22.2515	+	16.1667i	0.898731	+	0.652967i	0.938140	−	0.346257i	$-0.112547\pi$
$613$	22.2515	+	16.1667i	0.898731	+	0.652967i	−0.0394084	+	0.999223i	$0.512547\pi$
$614$	−18.0965	−	55.6953i	−0.730315	−	2.24768i
$615$	3.65983			0.147579
$616$	0.811840	−	6.95921i	0.0327100	−	0.280395i
$617$	24.0712			0.969068			0.484534	−	0.874772i	$-0.338989\pi$
$617$	24.0712			0.969068			0.484534	+	0.874772i	$0.338989\pi$
$618$	2.39774	+	7.37950i	0.0964514	+	0.296847i
$619$	−21.8216	−	15.8543i	−0.877083	−	0.637238i	0.0553955	−	0.998464i	$-0.482358\pi$
$619$	−21.8216	−	15.8543i	−0.877083	−	0.637238i	−0.932478	+	0.361227i	$0.882358\pi$
$620$	0.0231305	−	0.0168053i	0.000928944	−	0.000674917i
$621$	−2.58268	+	7.94866i	−0.103639	+	0.318969i
$622$	0.922745	−	2.83992i	0.0369987	−	0.113870i
$623$	20.5051	−	14.8978i	0.821521	−	0.596870i
$624$	21.1765	+	15.3856i	0.847737	+	0.615917i
$625$	0.309017	+	0.951057i	0.0123607	+	0.0380423i
$626$	55.5673			2.22092
$627$	19.5589	−	3.92463i	0.781108	−	0.156735i
$628$	−16.9430			−0.676098
$629$	−2.54088	−	7.82003i	−0.101312	−	0.311805i
$630$	−2.58268	−	1.87642i	−0.102896	−	0.0747585i
$631$	−7.87681	+	5.72284i	−0.313571	+	0.227823i	−0.733427	−	0.679768i	$-0.762080\pi$
$631$	−7.87681	+	5.72284i	−0.313571	+	0.227823i	0.419856	+	0.907591i	$0.362080\pi$
$632$	−0.957964	+	2.94831i	−0.0381058	+	0.117277i
$633$	1.18090	−	3.63445i	0.0469367	−	0.144456i
$634$	43.5078	−	31.6103i	1.72792	−	1.25540i
$635$	−10.2640	−	7.45726i	−0.407316	−	0.295932i
$636$	−0.690983	−	2.12663i	−0.0273993	−	0.0843262i
$637$	21.1478			0.837904
$638$	22.7393	−	24.6821i	0.900256	−	0.977175i
$639$	4.53818			0.179528
$640$	2.82535	+	8.69552i	0.111682	+	0.343721i
$641$	−20.3196	−	14.7631i	−0.802577	−	0.583107i	0.109092	−	0.994032i	$-0.465206\pi$
$641$	−20.3196	−	14.7631i	−0.802577	−	0.583107i	−0.911669	+	0.410925i	$0.865206\pi$
$642$	−23.2409	+	16.8855i	−0.917245	+	0.666418i
$643$	−8.32051	+	25.6079i	−0.328129	+	1.00988i	0.641880	+	0.766806i	$0.278155\pi$
$643$	−8.32051	+	25.6079i	−0.328129	+	1.00988i	−0.970008	+	0.243071i	$0.921845\pi$
$644$	6.03897	−	18.5860i	0.237969	−	0.732393i
$645$	−1.59336	+	1.15764i	−0.0627384	+	0.0455821i
$646$	−65.1754	−	47.3527i	−2.56429	−	1.86307i
$647$	−8.28198	−	25.4893i	−0.325598	−	1.00209i	−0.971170	−	0.238389i	$-0.923381\pi$
$647$	−8.28198	−	25.4893i	−0.325598	−	1.00209i	0.645572	−	0.763700i	$-0.276619\pi$
$648$	−1.20906			−0.0474962
$649$	−9.20530	−	16.3728i	−0.361340	−	0.642687i
$650$	−9.78903			−0.383957
$651$	0.0115351	+	0.0355014i	0.000452096	+	0.00139141i
$652$	25.3409	+	18.4112i	0.992425	+	0.721039i
$653$	−23.2700	+	16.9066i	−0.910625	+	0.661608i	−0.941173	−	0.337926i	$-0.890275\pi$
$653$	−23.2700	+	16.9066i	−0.910625	+	0.661608i	0.0305480	+	0.999533i	$0.490275\pi$
$654$	−2.39332	+	7.36589i	−0.0935863	+	0.288029i
$655$	−0.299778	+	0.922622i	−0.0117133	+	0.0360498i
$656$	−14.4655	+	10.5098i	−0.564784	+	0.410340i
$657$	−8.20305	−	5.95986i	−0.320031	−	0.232516i
$658$	3.76795	+	11.5966i	0.146890	+	0.452081i
$659$	36.5327			1.42311			0.711556	−	0.702629i	$-0.247991\pi$
$659$	36.5327			1.42311			0.711556	+	0.702629i	$0.247991\pi$
$660$	−4.03391	−	1.85146i	−0.157020	−	0.0720680i
$661$	−35.7750			−1.39149			−0.695743	−	0.718291i	$-0.744925\pi$
$661$	−35.7750			−1.39149			−0.695743	+	0.718291i	$0.744925\pi$
$662$	−12.8674	−	39.6018i	−0.500106	−	1.53917i
$663$	−31.7748	−	23.0858i	−1.23403	−	0.896576i
$664$	−15.7291	+	11.4279i	−0.610408	+	0.443487i
$665$	3.24754	−	9.99490i	0.125934	−	0.387586i
$666$	−0.633284	+	1.94905i	−0.0245393	+	0.0755241i
$667$	−37.4466	+	27.2065i	−1.44994	+	1.05344i
$668$	−3.30423	−	2.40066i	−0.127844	−	0.0928844i
$669$	8.25698	+	25.4124i	0.319233	+	0.982499i
$670$	0.640375			0.0247398
$671$	27.9720	+	12.8384i	1.07985	+	0.495621i
$672$	11.3715			0.438666
$673$	−3.48925	−	10.7388i	−0.134501	−	0.413951i	0.861011	−	0.508586i	$-0.169832\pi$
$673$	−3.48925	−	10.7388i	−0.134501	−	0.413951i	−0.995512	+	0.0946349i	$0.969832\pi$
$674$	21.4185	+	15.5614i	0.825009	+	0.599404i
$675$	0.809017	−	0.587785i	0.0311391	−	0.0226239i
$676$	6.49478	−	19.9889i	0.249799	−	0.768803i
$677$	−13.5527	+	41.7108i	−0.520872	+	1.60308i	0.251466	+	0.967866i	$0.419087\pi$
$677$	−13.5527	+	41.7108i	−0.520872	+	1.60308i	−0.772338	+	0.635212i	$0.780913\pi$
$678$	−10.6374	+	7.72851i	−0.408526	+	0.296812i
$679$	2.68534	+	1.95101i	0.103054	+	0.0748729i
$680$	−2.73889	−	8.42944i	−0.105032	−	0.323254i
$681$	−12.2373			−0.468935
$682$	0.0634474	+	0.112849i	0.00242953	+	0.00432121i
$683$	−18.5355			−0.709241			−0.354620	−	0.935010i	$-0.615390\pi$
$683$	−18.5355			−0.709241			−0.354620	+	0.935010i	$0.615390\pi$
$684$	2.48739	+	7.65539i	0.0951076	+	0.292711i
$685$	−3.41434	−	2.48066i	−0.130455	−	0.0947811i
$686$	28.2730	−	20.5415i	1.07947	−	0.784279i
$687$	2.06628	−	6.35937i	0.0788337	−	0.242625i
$688$	2.97341	−	9.15120i	0.113360	−	0.348886i
$689$	7.24238	−	5.26190i	0.275913	−	0.200462i
$690$	12.3539	+	8.97566i	0.470306	+	0.341698i
$691$	−8.71597	−	26.8250i	−0.331571	−	1.02047i	−0.968386	−	0.249455i	$-0.919749\pi$
$691$	−8.71597	−	26.8250i	−0.331571	−	1.02047i	0.636815	−	0.771017i	$-0.280251\pi$
$692$	21.4221			0.814347
$693$	3.92646	−	4.26194i	0.149154	−	0.161898i
$694$	8.01596			0.304282
$695$	2.73432	+	8.41538i	0.103719	+	0.319214i
$696$	−5.41716	−	3.93580i	−0.205337	−	0.149186i
$697$	21.7052	−	15.7698i	0.822144	−	0.597322i
$698$	8.13371	−	25.0330i	0.307865	−	0.947512i
$699$	2.01399	−	6.19844i	0.0761762	−	0.234446i
$700$	−1.89169	+	1.37440i	−0.0714993	+	0.0519473i
$701$	−0.255153	−	0.185379i	−0.00963699	−	0.00700168i	0.582956	−	0.812503i	$-0.301896\pi$
$701$	−0.255153	−	0.185379i	−0.00963699	−	0.00700168i	−0.592593	+	0.805502i	$0.701896\pi$
$702$	3.02498	+	9.30992i	0.114170	+	0.351380i
$703$	−6.74647			−0.254448
$704$	6.89405	−	1.38334i	0.259829	−	0.0521366i
$705$	−3.81953			−0.143852
$706$	−3.39362	−	10.4445i	−0.127721	−	0.393084i
$707$	−9.48505	−	6.89129i	−0.356722	−	0.259174i
$708$	6.13154	−	4.45482i	0.230437	−	0.167423i
$709$	12.0593	−	37.1146i	0.452895	−	1.39387i	−0.420693	−	0.907203i	$-0.638213\pi$
$709$	12.0593	−	37.1146i	0.452895	−	1.39387i	0.873589	−	0.486665i	$-0.161787\pi$
$710$	2.56227	−	7.88585i	0.0961602	−	0.295951i
$711$	−2.07433	+	1.50709i	−0.0777934	+	0.0565202i
$712$	−14.1892	−	10.3090i	−0.531762	−	0.386348i
$713$	−0.0551768	−	0.169817i	−0.00206639	−	0.00635969i
$714$	−23.4023			−0.875808
$715$	2.05898	−	17.6498i	0.0770014	−	0.660067i
$716$	−25.8272			−0.965209
$717$	3.35032	+	10.3112i	0.125120	+	0.385080i
$718$	3.63203	+	2.63882i	0.135546	+	0.0984800i
$719$	−23.0320	+	16.7337i	−0.858948	+	0.624062i	−0.927598	−	0.373579i	$-0.878131\pi$
$719$	−23.0320	+	16.7337i	−0.858948	+	0.624062i	0.0686507	+	0.997641i	$0.478131\pi$
$720$	−1.50973	+	4.64646i	−0.0562642	+	0.173163i
$721$	−2.29295	+	7.05698i	−0.0853939	+	0.262816i
$722$	−25.3911	+	18.4477i	−0.944957	+	0.686552i
$723$	21.9894	+	15.9762i	0.817793	+	0.594161i
$724$	−5.04156	−	15.5163i	−0.187368	−	0.576659i
$725$	5.53818			0.205683
$726$	10.4436	−	17.1715i	0.387599	−	0.637294i
$727$	45.8400			1.70011			0.850057	−	0.526691i	$-0.176568\pi$
$727$	45.8400			1.70011			0.850057	+	0.526691i	$0.176568\pi$
$728$	3.49753	+	10.7643i	0.129627	+	0.398951i
$729$	−0.809017	−	0.587785i	−0.0299636	−	0.0217698i
$730$	−14.9877	+	10.8892i	−0.554720	+	0.403028i
$731$	−4.46153	+	13.7312i	−0.165016	+	0.507866i
$732$	−3.83761	+	11.8109i	−0.141842	+	0.436545i
$733$	−30.7169	+	22.3171i	−1.13455	+	0.824301i	−0.986351	−	0.164656i	$-0.947349\pi$
$733$	−30.7169	+	22.3171i	−1.13455	+	0.824301i	−0.148202	+	0.988957i	$0.547349\pi$
$734$	−2.18751	−	1.58932i	−0.0807423	−	0.0586627i
$735$	1.21974	+	3.75397i	0.0449908	+	0.138467i
$736$	−54.3944			−2.00500
$737$	−0.134693	+	1.15461i	−0.00496149	+	0.0425306i
$738$	−6.68684			−0.246146
$739$	6.52725	+	20.0888i	0.240109	+	0.738979i	0.996403	+	0.0847466i	$0.0270081\pi$
$739$	6.52725	+	20.0888i	0.240109	+	0.738979i	−0.756294	+	0.654232i	$0.772992\pi$
$740$	1.21438	+	0.882299i	0.0446415	+	0.0324340i
$741$	−26.0710	+	18.9417i	−0.957741	+	0.695840i
$742$	1.64831	−	5.07298i	0.0605113	−	0.186235i
$743$	2.46606	−	7.58976i	0.0904711	−	0.278441i	−0.895576	−	0.444909i	$-0.853236\pi$
$743$	2.46606	−	7.58976i	0.0904711	−	0.278441i	0.986047	+	0.166467i	$0.0532361\pi$
$744$	0.0208973	−	0.0151828i	0.000766134	−	0.000556629i
$745$	−7.72900	−	5.61545i	−0.283169	−	0.205734i
$746$	−13.7385	−	42.2829i	−0.503004	−	1.54809i
$747$	−16.0805			−0.588355
$748$	−31.9015	+	6.40126i	−1.16643	+	0.234053i
$749$	−27.4718			−1.00380
$750$	−0.564602	−	1.73767i	−0.0206164	−	0.0634506i
$751$	7.78664	+	5.65733i	0.284139	+	0.206439i	0.720721	−	0.693226i	$-0.243811\pi$
$751$	7.78664	+	5.65733i	0.284139	+	0.206439i	−0.436582	+	0.899664i	$0.643811\pi$
$752$	15.0968	−	10.9684i	0.550523	−	0.399978i
$753$	−1.71332	+	5.27307i	−0.0624370	+	0.192161i
$754$	−16.7529	+	51.5600i	−0.610104	+	1.87771i
$755$	5.46214	−	3.96848i	0.198788	−	0.144428i
$756$	1.89169	+	1.37440i	0.0688002	+	0.0499863i
$757$	−14.4049	−	44.3338i	−0.523555	−	1.61134i	−0.767155	−	0.641462i	$-0.778328\pi$
$757$	−14.4049	−	44.3338i	−0.523555	−	1.61134i	0.243600	−	0.969876i	$-0.421672\pi$
$758$	29.1076			1.05724
$759$	−18.7818	+	20.3865i	−0.681735	+	0.739984i
$760$	−7.27222			−0.263791
$761$	−6.79661	−	20.9178i	−0.246377	−	0.758270i	−0.995407	−	0.0957342i	$-0.969480\pi$
$761$	−6.79661	−	20.9178i	−0.246377	−	0.758270i	0.749030	−	0.662536i	$-0.230520\pi$
$762$	18.7533	+	13.6251i	0.679361	+	0.493585i
$763$	−5.99195	+	4.35341i	−0.216923	+	0.157604i
$764$	−5.55158	+	17.0860i	−0.200849	+	0.618151i
$765$	2.26531	−	6.97191i	0.0819025	−	0.252070i
$766$	5.79425	−	4.20977i	0.209355	−	0.152105i
$767$	24.5476	+	17.8348i	0.886361	+	0.643979i
$768$	−6.47244	−	19.9201i	−0.233554	−	0.718805i
$769$	48.0330			1.73211			0.866057	−	0.499946i	$-0.166647\pi$
$769$	48.0330			1.73211			0.866057	+	0.499946i	$0.166647\pi$
$770$	−5.18895	−	9.22918i	−0.186997	−	0.332597i
$771$	18.9439			0.682249
$772$	3.13377	+	9.64476i	0.112787	+	0.347123i
$773$	13.8222	+	10.0424i	0.497148	+	0.361199i	0.807927	−	0.589283i	$-0.200590\pi$
$773$	13.8222	+	10.0424i	0.497148	+	0.361199i	−0.310778	+	0.950482i	$0.600590\pi$
$774$	2.91121	−	2.11512i	0.104641	−	0.0760263i
$775$	−0.00660190	+	0.0203186i	−0.000237147	+	0.000729864i
$776$	0.709771	−	2.18445i	0.0254793	−	0.0784172i
$777$	−1.58550	+	1.15193i	−0.0568795	+	0.0413254i
$778$	52.1653	+	37.9003i	1.87022	+	1.35879i
$779$	−6.80242	−	20.9357i	−0.243722	−	0.750099i
$780$	7.17002			0.256728
$781$	13.6794	+	6.27849i	0.489488	+	0.224662i
$782$	111.942			4.00304
$783$	−1.71139	−	5.26712i	−0.0611602	−	0.188232i
$784$	−15.6012	−	11.3349i	−0.557186	−	0.404819i
$785$	10.2425	−	7.44162i	0.365571	−	0.265603i
$786$	0.547722	−	1.68571i	0.0195366	−	0.0601275i
$787$	−6.95034	+	21.3910i	−0.247753	+	0.762505i	0.747418	+	0.664354i	$0.231293\pi$
$787$	−6.95034	+	21.3910i	−0.247753	+	0.762505i	−0.995171	+	0.0981518i	$0.968707\pi$
$788$	7.46092	−	5.42068i	0.265784	−	0.193104i
$789$	2.59591	+	1.88604i	0.0924170	+	0.0671449i
$790$	1.44765	+	4.45540i	0.0515050	+	0.158516i
$791$	−12.5739			−0.447076
$792$	−3.64445	−	1.67271i	−0.129500	−	0.0594371i
$793$	−49.7184			−1.76555
$794$	13.1118	+	40.3540i	0.465321	+	1.43211i
$795$	1.35177	+	0.982116i	0.0479422	+	0.0348321i
$796$	−0.692261	+	0.502957i	−0.0245365	+	0.0178268i
$797$	−1.05615	+	3.25051i	−0.0374109	+	0.115139i	−0.968018	−	0.250881i	$-0.919280\pi$
$797$	−1.05615	+	3.25051i	−0.0374109	+	0.115139i	0.930607	+	0.366020i	$0.119280\pi$
$798$	−5.93355	+	18.2616i	−0.210045	+	0.646453i
$799$	−22.6524	+	16.4579i	−0.801383	+	0.582239i
$800$	5.26531	+	3.82547i	0.186157	+	0.135251i
$801$	−4.48265	−	13.7962i	−0.158387	−	0.487464i
$802$	10.4046			0.367398
$803$	−16.4810	−	29.3135i	−0.581603	−	1.03445i
$804$	−0.469045			−0.0165420
$805$	4.51255	+	13.8882i	0.159047	+	0.489495i
$806$	−0.169194	−	0.122926i	−0.00595959	−	0.00432990i
$807$	−2.62464	+	1.90691i	−0.0923916	+	0.0671264i
$808$	−2.50703	+	7.71584i	−0.0881969	+	0.271442i
$809$	−3.12679	+	9.62328i	−0.109932	+	0.338336i	−0.990856	−	0.134921i	$-0.956922\pi$
$809$	−3.12679	+	9.62328i	−0.109932	+	0.338336i	0.880924	+	0.473257i	$0.156922\pi$
$810$	−1.47815	+	1.07394i	−0.0519368	+	0.0377343i
$811$	−20.5287	−	14.9150i	−0.720862	−	0.523737i	0.165798	−	0.986160i	$-0.446980\pi$
$811$	−20.5287	−	14.9150i	−0.720862	−	0.523737i	−0.886659	+	0.462423i	$0.846980\pi$
$812$	4.00168	+	12.3159i	0.140432	+	0.432204i
$813$	2.02977			0.0711872
$814$	−4.60538	+	4.99887i	−0.161419	+	0.175210i
$815$	−23.4058			−0.819868
$816$	11.0674	+	34.0618i	0.387435	+	1.19240i
$817$	9.58370	+	6.96297i	0.335291	+	0.243603i
$818$	−37.6232	+	27.3349i	−1.31547	+	0.955741i
$819$	−2.89277	+	8.90304i	−0.101082	+	0.311097i
$820$	−1.51351	+	4.65809i	−0.0528539	+	0.162668i
$821$	−1.21284	+	0.881177i	−0.0423282	+	0.0307533i	−0.608748	−	0.793363i	$-0.708328\pi$
$821$	−1.21284	+	0.881177i	−0.0423282	+	0.0307533i	0.566420	+	0.824117i	$0.308328\pi$
$822$	6.23830	+	4.53239i	0.217586	+	0.158085i
$823$	−5.90982	−	18.1885i	−0.206003	−	0.634013i	−0.999671	−	0.0256610i	$-0.991831\pi$
$823$	−5.90982	−	18.1885i	−0.206003	−	0.634013i	0.793667	−	0.608352i	$-0.208169\pi$
$824$	5.13460			0.178872
$825$	3.25181	−	0.652498i	0.113213	−	0.0227171i
$826$	18.0794			0.629062
$827$	−5.13910	−	15.8165i	−0.178704	−	0.549994i	0.821079	−	0.570814i	$-0.193372\pi$
$827$	−5.13910	−	15.8165i	−0.178704	−	0.549994i	−0.999783	+	0.0208200i	$0.993372\pi$
$828$	−9.04870	−	6.57426i	−0.314464	−	0.228471i
$829$	−20.7881	+	15.1034i	−0.722001	+	0.524564i	−0.887023	−	0.461725i	$-0.847231\pi$
$829$	−20.7881	+	15.1034i	−0.722001	+	0.524564i	0.165022	+	0.986290i	$0.447231\pi$
$830$	−9.07908	+	27.9425i	−0.315140	+	0.969900i
$831$	−3.49701	+	10.7627i	−0.121310	+	0.373354i
$832$	−9.18940	+	6.67649i	−0.318585	+	0.231466i
$833$	23.4093	+	17.0078i	0.811083	+	0.589286i
$834$	−4.99586	−	15.3757i	−0.172992	−	0.532416i
$835$	3.05191			0.105616
$836$	−3.09338	+	26.5169i	−0.106987	+	0.917105i
$837$	0.0213642			0.000738455
$838$	−7.61367	−	23.4325i	−0.263010	−	0.809461i
$839$	22.9737	+	16.6914i	0.793141	+	0.576250i	0.908894	−	0.417028i	$-0.136928\pi$
$839$	22.9737	+	16.6914i	0.793141	+	0.576250i	−0.115753	+	0.993278i	$0.536928\pi$
$840$	−1.70906	+	1.24170i	−0.0589681	+	0.0428428i
$841$	0.516507	−	1.58965i	0.0178106	−	0.0548154i
$842$	1.66539	−	5.12555i	0.0573932	−	0.176638i
$843$	−8.34720	+	6.06459i	−0.287493	+	0.208876i
$844$	4.13743	+	3.00602i	0.142416	+	0.103471i
$845$	4.85315	+	14.9365i	0.166953	+	0.513830i
$846$	6.97864			0.239930
$847$	17.7318	−	7.41457i	0.609273	−	0.254768i
$848$	−8.16320			−0.280325
$849$	0.650755	+	2.00282i	0.0223339	+	0.0687365i
$850$	−10.8359	−	7.87272i	−0.371667	−	0.270032i
$851$	7.58406	−	5.51014i	0.259978	−	0.188885i
$852$	−1.87674	+	5.77602i	−0.0642962	+	0.197883i
$853$	4.66838	−	14.3678i	0.159842	−	0.491943i	−0.838777	−	0.544475i	$-0.816729\pi$
$853$	4.66838	−	14.3678i	0.159842	−	0.491943i	0.998619	+	0.0525314i	$0.0167290\pi$
$854$	−23.9666	+	17.4128i	−0.820122	+	0.595853i
$855$	−4.86606	−	3.53540i	−0.166416	−	0.120908i
$856$	5.87441	+	18.0796i	0.200783	+	0.617947i
$857$	2.37040			0.0809713			0.0404856	−	0.999180i	$-0.487109\pi$
$857$	2.37040			0.0809713			0.0404856	+	0.999180i	$0.487109\pi$
$858$	−3.76194	+	32.2479i	−0.128430	+	1.10092i
$859$	45.0423			1.53682			0.768411	−	0.639956i	$-0.221048\pi$
$859$	45.0423			1.53682			0.768411	+	0.639956i	$0.221048\pi$
$860$	−0.814477	−	2.50670i	−0.0277734	−	0.0854779i
$861$	−5.17333	−	3.75865i	−0.176307	−	0.128094i
$862$	−17.0323	+	12.3747i	−0.580123	+	0.421484i
$863$	−7.73191	+	23.7964i	−0.263197	+	0.810038i	0.728906	+	0.684614i	$0.240029\pi$
$863$	−7.73191	+	23.7964i	−0.263197	+	0.810038i	−0.992103	+	0.125424i	$0.959971\pi$
$864$	2.01117	−	6.18975i	0.0684214	−	0.210579i
$865$	−12.9503	+	9.40893i	−0.440323	+	0.319913i
$866$	−16.5018	−	11.9893i	−0.560754	−	0.407412i
$867$	−11.3530	−	34.9411i	−0.385570	−	1.18666i
$868$	−0.0499551			−0.00169559
$869$	−8.33767	+	1.67301i	−0.282836	+	0.0567530i
$870$	−10.1188			−0.343058
$871$	−0.580278	−	1.78591i	−0.0196620	−	0.0605133i
$872$	4.14632	+	3.01248i	0.140412	+	0.102015i
$873$	1.53690	−	1.11663i	0.0520163	−	0.0377920i
$874$	28.3825	−	87.3522i	0.960051	−	2.95473i
$875$	0.539926	−	1.66172i	0.0182528	−	0.0561765i
$876$	10.9778	−	7.97585i	0.370906	−	0.269479i
$877$	39.5411	+	28.7283i	1.33521	+	0.970085i	0.999606	+	0.0280807i	$0.00893953\pi$
$877$	39.5411	+	28.7283i	1.33521	+	0.970085i	0.335601	+	0.942004i	$0.391060\pi$
$878$	0.561002	+	1.72659i	0.0189329	+	0.0582695i
$879$	23.3755			0.788435
$880$	−10.9791	+	11.9171i	−0.370104	+	0.401726i
$881$	44.5530			1.50103			0.750515	−	0.660853i	$-0.229805\pi$
$881$	44.5530			1.50103			0.750515	+	0.660853i	$0.229805\pi$
$882$	−2.22857	−	6.85885i	−0.0750400	−	0.230949i
$883$	35.6410	+	25.8947i	1.19941	+	0.871426i	0.994227	−	0.107297i	$-0.0342196\pi$
$883$	35.6410	+	25.8947i	1.19941	+	0.871426i	0.205187	+	0.978723i	$0.434220\pi$
$884$	42.5230	−	30.8948i	1.43020	−	1.03910i
$885$	−1.75006	+	5.38614i	−0.0588277	+	0.181053i
$886$	−6.20076	+	19.0840i	−0.208319	+	0.641139i
$887$	9.81279	−	7.12941i	0.329481	−	0.239382i	−0.410729	−	0.911757i	$-0.634726\pi$
$887$	9.81279	−	7.12941i	0.329481	−	0.239382i	0.740210	+	0.672375i	$0.234726\pi$
$888$	1.09714	+	0.797116i	0.0368175	+	0.0267495i
$889$	6.85007	+	21.0823i	0.229744	+	0.707079i
$890$	−26.5041			−0.888419
$891$	−1.62543	−	2.89102i	−0.0544538	−	0.0968528i
$892$	−35.7585			−1.19728
$893$	7.09925	+	21.8493i	0.237567	+	0.731158i
$894$	14.1216	+	10.2599i	0.472296	+	0.343143i
$895$	15.6133	−	11.3437i	0.521895	−	0.379179i
$896$	4.93655	−	15.1931i	0.164919	−	0.507567i
$897$	13.8372	−	42.5867i	0.462012	−	1.42193i
$898$	−42.8963	+	31.1660i	−1.43147	+	1.04002i
$899$	0.0957219	+	0.0695461i	0.00319251	+	0.00231949i
$900$	0.413545	+	1.27276i	0.0137848	+	0.0424254i
$901$	12.2487			0.408063
$902$	−20.1561	−	9.25112i	−0.671125	−	0.308029i
$903$	3.44118			0.114515
$904$	2.68872	+	8.27504i	0.0894256	+	0.275224i
$905$	9.86277	+	7.16572i	0.327850	+	0.238197i
$906$	−9.97983	+	7.25077i	−0.331558	+	0.240891i
$907$	10.1565	−	31.2586i	0.337242	−	1.03793i	−0.628365	−	0.777919i	$-0.716275\pi$
$907$	10.1565	−	31.2586i	0.337242	−	1.03793i	0.965607	−	0.260006i	$-0.0837246\pi$
$908$	5.06069	−	15.5752i	0.167945	−	0.516881i
$909$	−5.42860	+	3.94411i	−0.180055	+	0.130818i
$910$	13.8372	+	10.0533i	0.458700	+	0.333265i
$911$	−14.4328	−	44.4195i	−0.478179	−	1.47168i	−0.841622	−	0.540067i	$-0.818399\pi$
$911$	−14.4328	−	44.4195i	−0.478179	−	1.47168i	0.363443	−	0.931617i	$-0.381601\pi$
$912$	29.3857			0.973058
$913$	−48.4714	−	22.2471i	−1.60417	−	0.736271i
$914$	−6.49842			−0.214949
$915$	−2.86761	−	8.82559i	−0.0948002	−	0.291765i
$916$	7.23946	+	5.25978i	0.239199	+	0.173788i
$917$	1.37128	−	0.996296i	0.0452838	−	0.0329006i
$918$	−4.13893	+	12.7383i	−0.136605	+	0.420427i
$919$	2.26765	−	6.97910i	0.0748028	−	0.230219i	−0.906663	−	0.421855i	$-0.861379\pi$
$919$	2.26765	−	6.97910i	0.0748028	−	0.230219i	0.981466	+	0.191636i	$0.0613792\pi$
$920$	8.17508	−	5.93954i	0.269524	−	0.195821i
$921$	−25.9304	−	18.8396i	−0.854437	−	0.620785i
$922$	14.2183	+	43.7594i	0.468255	+	1.44114i
$923$	−24.3143			−0.800314
$924$	3.80067	+	6.75996i	0.125033	+	0.222386i
$925$	−1.12165			−0.0368795
$926$	−10.0919	−	31.0596i	−0.331640	−	1.02068i
$927$	3.43572	+	2.49620i	0.112844	+	0.0819859i
$928$	29.1603	−	21.1862i	0.957232	−	0.695470i
$929$	3.93333	−	12.1055i	0.129048	−	0.397170i	−0.865569	−	0.500790i	$-0.833043\pi$
$929$	3.93333	−	12.1055i	0.129048	−	0.397170i	0.994617	+	0.103621i	$0.0330428\pi$
$930$	0.0120623	−	0.0371239i	0.000395538	−	0.00121734i
$931$	19.2071	−	13.9548i	0.629488	−	0.457350i
$932$	7.05626	+	5.12667i	0.231135	+	0.167930i
$933$	−0.505035	−	1.55434i	−0.0165341	−	0.0508868i
$934$	−46.0888			−1.50807
$935$	16.4738	−	17.8814i	0.538752	−	0.584784i
$936$	6.47778			0.211733
$937$	5.94961	+	18.3110i	0.194365	+	0.598195i	0.999983	+	0.00575961i	$0.00183335\pi$
$937$	5.94961	+	18.3110i	0.194365	+	0.598195i	−0.805618	+	0.592435i	$0.798167\pi$
$938$	−0.905199	−	0.657665i	−0.0295558	−	0.0214735i
$939$	24.6046	−	17.8763i	0.802942	−	0.583371i
$940$	1.57955	−	4.86136i	0.0515193	−	0.158560i
$941$	−12.7530	+	39.2496i	−0.415735	+	1.27950i	0.495857	+	0.868404i	$0.334854\pi$
$941$	−12.7530	+	39.2496i	−0.415735	+	1.27950i	−0.911592	+	0.411096i	$0.865146\pi$
$942$	−18.7140	+	13.5965i	−0.609735	+	0.442998i
$943$	24.7461	+	17.9791i	0.805842	+	0.585479i
$944$	−8.55007	−	26.3144i	−0.278281	−	0.856461i
$945$	−1.74724			−0.0568377
$946$	11.7015	−	2.34798i	0.380448	−	0.0763395i
$947$	−50.3012			−1.63457			−0.817285	−	0.576233i	$-0.804522\pi$
$947$	−50.3012			−1.63457			−0.817285	+	0.576233i	$0.804522\pi$
$948$	−1.06034	−	3.26338i	−0.0344381	−	0.105990i
$949$	43.9496	+	31.9312i	1.42666	+	1.03653i
$950$	−8.89074	+	6.45950i	−0.288454	+	0.209574i
$951$	9.09561	−	27.9934i	0.294945	−	0.907749i
$952$	−4.78550	+	14.7282i	−0.155099	+	0.477345i
$953$	7.30203	−	5.30523i	0.236536	−	0.171853i	−0.463203	−	0.886252i	$-0.653300\pi$
$953$	7.30203	−	5.30523i	0.236536	−	0.171853i	0.699739	+	0.714399i	$0.253300\pi$
$954$	−2.46980	−	1.79442i	−0.0799628	−	0.0580963i
$955$	−4.14836	−	12.7673i	−0.134238	−	0.413141i
$956$	−14.5093			−0.469263
$957$	2.12833	−	18.2443i	0.0687991	−	0.589756i
$958$	−9.56617			−0.309069
$959$	2.27868	+	7.01305i	0.0735824	+	0.226463i
$960$	−1.71517	−	1.24614i	−0.0553569	−	0.0402191i
$961$	25.0792	−	18.2211i	0.809005	−	0.587777i
$962$	3.39296	−	10.4425i	0.109393	−	0.336678i
$963$	−4.85867	+	14.9534i	−0.156568	+	0.481868i
$964$	−29.4275	+	21.3803i	−0.947796	+	0.688614i
$965$	−6.13058	−	4.45413i	−0.197350	−	0.143384i
$966$	−8.24484	−	25.3750i	−0.265273	−	0.816428i
$967$	−30.2503			−0.972785			−0.486392	−	0.873740i	$-0.661687\pi$
$967$	−30.2503			−0.972785			−0.486392	+	0.873740i	$0.661687\pi$
$968$	−8.67130	−	10.0841i	−0.278706	−	0.324114i
$969$	−44.0926			−1.41646
$970$	−1.07258	−	3.30107i	−0.0344386	−	0.105991i
$971$	−10.3785	−	7.54040i	−0.333061	−	0.241983i	0.408667	−	0.912683i	$-0.365994\pi$
$971$	−10.3785	−	7.54040i	−0.333061	−	0.241983i	−0.741728	+	0.670700i	$0.765994\pi$
$972$	1.08268	−	0.786610i	0.0347269	−	0.0252305i
$973$	4.77751	−	14.7037i	0.153160	−	0.471378i
$974$	5.10687	−	15.7173i	0.163635	−	0.503616i
$975$	−4.33448	+	3.14919i	−0.138815	+	0.100855i
$976$	36.6785	+	26.6485i	1.17405	+	0.852996i
$977$	−4.06641	−	12.5151i	−0.130096	−	0.400394i	0.864699	−	0.502290i	$-0.167509\pi$
$977$	−4.06641	−	12.5151i	−0.130096	−	0.400394i	−0.994795	+	0.101896i	$0.967509\pi$
$978$	42.7645			1.36746
$979$	5.57474	−	47.7875i	0.178169	−	1.52729i
$980$	−5.28233			−0.168738
$981$	1.30991	+	4.03149i	0.0418222	+	0.128715i
$982$	51.4562	+	37.3851i	1.64203	+	1.19301i
$983$	−18.1519	+	13.1881i	−0.578954	+	0.420635i	−0.838347	−	0.545137i	$-0.816478\pi$
$983$	−18.1519	+	13.1881i	−0.578954	+	0.420635i	0.259393	+	0.965772i	$0.416478\pi$
$984$	−1.36738	+	4.20837i	−0.0435905	+	0.134158i
$985$	−2.12949	+	6.55390i	−0.0678513	+	0.208825i
$986$	−60.0110	+	43.6005i	−1.91114	+	1.38852i
$987$	5.39908	+	3.92266i	0.171855	+	0.124860i
$988$	−13.3267	−	41.0154i	−0.423979	−	1.30487i
$989$	−16.4605			−0.523414
$990$	−5.94135	+	1.19217i	−0.188828	+	0.0378897i
$991$	22.9146			0.727907			0.363953	−	0.931417i	$-0.381427\pi$
$991$	22.9146			0.727907			0.363953	+	0.931417i	$0.381427\pi$
$992$	0.0429671	+	0.132239i	0.00136421	+	0.00419859i
$993$	−18.4377	−	13.3958i	−0.585102	−	0.425101i
$994$	−11.7207	+	8.51555i	−0.371757	+	0.270097i
$995$	0.197585	−	0.608104i	0.00626386	−	0.0192782i
$996$	6.65002	−	20.4666i	0.210714	−	0.648511i
$997$	13.6234	−	9.89794i	0.431456	−	0.313471i	−0.350775	−	0.936460i	$-0.614082\pi$
$997$	13.6234	−	9.89794i	0.431456	−	0.313471i	0.782231	+	0.622989i	$0.214082\pi$
$998$	−28.9705	−	21.0483i	−0.917045	−	0.666272i
$999$	0.346608	+	1.06675i	0.0109662	+	0.0337505i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	165.2.m.c.16.2	✓	8
3.2	odd	2		495.2.n.c.181.1		8
5.2	odd	4		825.2.bx.e.49.1		16
5.3	odd	4		825.2.bx.e.49.4		16
5.4	even	2		825.2.n.j.676.1		8
11.3	even	5		1815.2.a.u.1.4		4
11.8	odd	10		1815.2.a.q.1.1		4
11.9	even	5	inner	165.2.m.c.31.2	yes	8
33.8	even	10		5445.2.a.bq.1.4		4
33.14	odd	10		5445.2.a.bj.1.1		4
33.20	odd	10		495.2.n.c.361.1		8
55.9	even	10		825.2.n.j.526.1		8
55.14	even	10		9075.2.a.co.1.1		4
55.19	odd	10		9075.2.a.df.1.4		4
55.42	odd	20		825.2.bx.e.724.4		16
55.53	odd	20		825.2.bx.e.724.1		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
165.2.m.c.16.2	✓	8	1.1	even	1	trivial
165.2.m.c.31.2	yes	8	11.9	even	5	inner
495.2.n.c.181.1		8	3.2	odd	2
495.2.n.c.361.1		8	33.20	odd	10
825.2.n.j.526.1		8	55.9	even	10
825.2.n.j.676.1		8	5.4	even	2
825.2.bx.e.49.1		16	5.2	odd	4
825.2.bx.e.49.4		16	5.3	odd	4
825.2.bx.e.724.1		16	55.53	odd	20
825.2.bx.e.724.4		16	55.42	odd	20
1815.2.a.q.1.1		4	11.8	odd	10
1815.2.a.u.1.4		4	11.3	even	5
5445.2.a.bj.1.1		4	33.14	odd	10
5445.2.a.bq.1.4		4	33.8	even	10
9075.2.a.co.1.1		4	55.14	even	10
9075.2.a.df.1.4		4	55.19	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)

\(f(q)\)	\(=\)	\(q+(0.564602 + 1.73767i) q^{2} +(0.809017 + 0.587785i) q^{3} +(-1.08268 + 0.786610i) q^{4} +(0.309017 - 0.951057i) q^{5} +(-0.564602 + 1.73767i) q^{6} +(-1.41355 + 1.02700i) q^{7} +(0.978148 + 0.710666i) q^{8} +(0.309017 + 0.951057i) q^{9} +O(q^{10})\)	\(q+(0.564602 + 1.73767i) q^{2} +(0.809017 + 0.587785i) q^{3} +(-1.08268 + 0.786610i) q^{4} +(0.309017 - 0.951057i) q^{5} +(-0.564602 + 1.73767i) q^{6} +(-1.41355 + 1.02700i) q^{7} +(0.978148 + 0.710666i) q^{8} +(0.309017 + 0.951057i) q^{9} +1.82709 q^{10} +(-0.384301 + 3.29428i) q^{11} -1.33826 q^{12} +(-1.65563 - 5.09549i) q^{13} +(-2.58268 - 1.87642i) q^{14} +(0.809017 - 0.587785i) q^{15} +(-1.50973 + 4.64646i) q^{16} +(2.26531 - 6.97191i) q^{17} +(-1.47815 + 1.07394i) q^{18} +(-4.86606 - 3.53540i) q^{19} +(0.413545 + 1.27276i) q^{20} -1.74724 q^{21} +(-5.94135 + 1.19217i) q^{22} +8.35772 q^{23} +(0.373619 + 1.14988i) q^{24} +(-0.809017 - 0.587785i) q^{25} +(7.91949 - 5.75385i) q^{26} +(-0.309017 + 0.951057i) q^{27} +(0.722562 - 2.22382i) q^{28} +(-4.48048 + 3.25526i) q^{29} +(1.47815 + 1.07394i) q^{30} +(-0.00660190 - 0.0203186i) q^{31} -6.50828 q^{32} +(-2.24724 + 2.43925i) q^{33} +13.3939 q^{34} +(0.539926 + 1.66172i) q^{35} +(-1.08268 - 0.786610i) q^{36} +(0.907432 - 0.659288i) q^{37} +(3.39596 - 10.4517i) q^{38} +(1.65563 - 5.09549i) q^{39} +(0.978148 - 0.710666i) q^{40} +(2.96086 + 2.15119i) q^{41} +(-0.986494 - 3.03612i) q^{42} -1.96950 q^{43} +(-2.17524 - 3.86894i) q^{44} +1.00000 q^{45} +(4.71878 + 14.5229i) q^{46} +(-3.09007 - 2.24507i) q^{47} +(-3.95252 + 2.87167i) q^{48} +(-1.21974 + 3.75397i) q^{49} +(0.564602 - 1.73767i) q^{50} +(5.93066 - 4.30888i) q^{51} +(5.80067 + 4.21443i) q^{52} +(0.516329 + 1.58910i) q^{53} -1.82709 q^{54} +(3.01430 + 1.38348i) q^{55} -2.11251 q^{56} +(-1.85867 - 5.72040i) q^{57} +(-8.18625 - 5.94766i) q^{58} +(-4.58172 + 3.32882i) q^{59} +(-0.413545 + 1.27276i) q^{60} +(2.86761 - 8.82559i) q^{61} +(0.0315794 - 0.0229438i) q^{62} +(-1.41355 - 1.02700i) q^{63} +(-0.655137 - 2.01630i) q^{64} -5.35772 q^{65} +(-5.50739 - 2.52775i) q^{66} +0.350489 q^{67} +(3.03158 + 9.33024i) q^{68} +(6.76153 + 4.91254i) q^{69} +(-2.58268 + 1.87642i) q^{70} +(1.40238 - 4.31607i) q^{71} +(-0.373619 + 1.14988i) q^{72} +(-8.20305 + 5.95986i) q^{73} +(1.65796 + 1.20458i) q^{74} +(-0.309017 - 0.951057i) q^{75} +8.04935 q^{76} +(-2.84001 - 5.05130i) q^{77} +9.78903 q^{78} +(0.792323 + 2.43852i) q^{79} +(3.95252 + 2.87167i) q^{80} +(-0.809017 + 0.587785i) q^{81} +(-2.06635 + 6.35956i) q^{82} +(-4.96915 + 15.2935i) q^{83} +(1.89169 - 1.37440i) q^{84} +(-5.93066 - 4.30888i) q^{85} +(-1.11198 - 3.42233i) q^{86} -5.53818 q^{87} +(-2.71704 + 2.94919i) q^{88} -14.5062 q^{89} +(0.564602 + 1.73767i) q^{90} +(7.57337 + 5.50238i) q^{91} +(-9.04870 + 6.57426i) q^{92} +(0.00660190 - 0.0203186i) q^{93} +(2.15652 - 6.63708i) q^{94} +(-4.86606 + 3.53540i) q^{95} +(-5.26531 - 3.82547i) q^{96} +(-0.587045 - 1.80674i) q^{97} -7.21182 q^{98} +(-3.25181 + 0.652498i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q + 2 q^{2} + 2 q^{3} + 2 q^{4} - 2 q^{5} - 2 q^{6} - 5 q^{7} - q^{8} - 2 q^{9}+O(q^{10}) \) 8 * q + 2 * q^2 + 2 * q^3 + 2 * q^4 - 2 * q^5 - 2 * q^6 - 5 * q^7 - q^8 - 2 * q^9	\( 8 q + 2 q^{2} + 2 q^{3} + 2 q^{4} - 2 q^{5} - 2 q^{6} - 5 q^{7} - q^{8} - 2 q^{9} + 2 q^{10} - q^{11} - 2 q^{12} - 16 q^{13} - 10 q^{14} + 2 q^{15} + 12 q^{16} - 4 q^{17} - 3 q^{18} + 2 q^{19} - 3 q^{20} - 9 q^{22} + 10 q^{23} - 4 q^{24} - 2 q^{25} + 16 q^{26} + 2 q^{27} - 5 q^{28} - 16 q^{29} + 3 q^{30} - 5 q^{31} - 4 q^{33} + 34 q^{34} + 5 q^{35} + 2 q^{36} - 5 q^{37} + 28 q^{38} + 16 q^{39} - q^{40} + 5 q^{41} - 15 q^{42} - 8 q^{43} - 19 q^{44} + 8 q^{45} + 10 q^{46} - q^{47} + 3 q^{48} - 11 q^{49} + 2 q^{50} + 4 q^{51} + 26 q^{52} - 15 q^{53} - 2 q^{54} - q^{55} + 20 q^{56} + 13 q^{57} - 24 q^{58} + 3 q^{59} + 3 q^{60} - 11 q^{61} - 15 q^{62} - 5 q^{63} - 9 q^{64} + 14 q^{65} - 31 q^{66} + 6 q^{67} + 9 q^{68} + 15 q^{69} - 10 q^{70} + q^{71} + 4 q^{72} - 35 q^{73} + 5 q^{74} + 2 q^{75} + 58 q^{76} - 25 q^{77} + 24 q^{78} - 30 q^{79} - 3 q^{80} - 2 q^{81} - 25 q^{82} + 31 q^{83} - 4 q^{85} - 62 q^{86} - 34 q^{87} + 17 q^{88} - 48 q^{89} + 2 q^{90} + 5 q^{91} - 20 q^{92} + 5 q^{93} - 19 q^{94} + 2 q^{95} - 20 q^{96} + 11 q^{97} + 26 q^{98} - 11 q^{99}+O(q^{100}) \) 8 * q + 2 * q^2 + 2 * q^3 + 2 * q^4 - 2 * q^5 - 2 * q^6 - 5 * q^7 - q^8 - 2 * q^9 + 2 * q^10 - q^11 - 2 * q^12 - 16 * q^13 - 10 * q^14 + 2 * q^15 + 12 * q^16 - 4 * q^17 - 3 * q^18 + 2 * q^19 - 3 * q^20 - 9 * q^22 + 10 * q^23 - 4 * q^24 - 2 * q^25 + 16 * q^26 + 2 * q^27 - 5 * q^28 - 16 * q^29 + 3 * q^30 - 5 * q^31 - 4 * q^33 + 34 * q^34 + 5 * q^35 + 2 * q^36 - 5 * q^37 + 28 * q^38 + 16 * q^39 - q^40 + 5 * q^41 - 15 * q^42 - 8 * q^43 - 19 * q^44 + 8 * q^45 + 10 * q^46 - q^47 + 3 * q^48 - 11 * q^49 + 2 * q^50 + 4 * q^51 + 26 * q^52 - 15 * q^53 - 2 * q^54 - q^55 + 20 * q^56 + 13 * q^57 - 24 * q^58 + 3 * q^59 + 3 * q^60 - 11 * q^61 - 15 * q^62 - 5 * q^63 - 9 * q^64 + 14 * q^65 - 31 * q^66 + 6 * q^67 + 9 * q^68 + 15 * q^69 - 10 * q^70 + q^71 + 4 * q^72 - 35 * q^73 + 5 * q^74 + 2 * q^75 + 58 * q^76 - 25 * q^77 + 24 * q^78 - 30 * q^79 - 3 * q^80 - 2 * q^81 - 25 * q^82 + 31 * q^83 - 4 * q^85 - 62 * q^86 - 34 * q^87 + 17 * q^88 - 48 * q^89 + 2 * q^90 + 5 * q^91 - 20 * q^92 + 5 * q^93 - 19 * q^94 + 2 * q^95 - 20 * q^96 + 11 * q^97 + 26 * q^98 - 11 * q^99

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