LMFDB - Embedded newform 32.2.g.b.13.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [32,2,Mod(5,32)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(32, base_ring=CyclotomicField(8))

chi = DirichletCharacter(H, H._module([0, 1]))

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

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

chi := DirichletCharacter("32.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 32 = 2^{5} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	32.g (of order $8$, 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:	$0.255521286468$
Analytic rank:	$0$
Dimension:	$8$
Relative dimension:	$2$ over $\Q(\zeta_{8})$
Coefficient field:	8.0.18939904.2
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} - 4x^{7} + 14x^{6} - 28x^{5} + 43x^{4} - 44x^{3} + 30x^{2} - 12x + 2 $ x^8 - 4x^7 + 14x^6 - 28x^5 + 43x^4 - 44x^3 + 30x^2 - 12*x + 2
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 2 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label			13.2
Root			$0.500000 + 0.691860i$ of defining polynomial
Character	$\chi$	$=$	32.13
Dual form			32.2.g.b.5.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.443806 - 1.34277i) q^{2} +(0.0794708 - 0.191860i) q^{3} +(-1.60607 + 1.19186i) q^{4} +(0.707107 - 0.292893i) q^{5} +(-0.292893 - 0.0215628i) q^{6} +(-2.27133 + 2.27133i) q^{7} +(2.31318 + 1.62764i) q^{8} +(2.09083 + 2.09083i) q^{9} +(-0.707107 - 0.819496i) q^{10} +(-1.49368 - 3.60607i) q^{11} +(0.101034 + 0.402859i) q^{12} +(-4.50504 - 1.86605i) q^{13} +(4.05791 + 2.04185i) q^{14} -0.158942i q^{15} +(1.15894 - 3.82843i) q^{16} -3.05320i q^{17} +(1.87958 - 3.73542i) q^{18} +(3.87740 + 1.60607i) q^{19} +(-0.786578 + 1.31318i) q^{20} +(0.255272 + 0.616281i) q^{21} +(-4.17923 + 3.60607i) q^{22} +(0.271330 + 0.271330i) q^{23} +(0.496108 - 0.314456i) q^{24} +(-3.12132 + 3.12132i) q^{25} +(-0.506316 + 6.87740i) q^{26} +(1.14288 - 0.473398i) q^{27} +(0.940816 - 6.35503i) q^{28} +(-0.931884 + 2.24977i) q^{29} +(-0.213422 + 0.0705392i) q^{30} +6.82843 q^{31} +(-5.65505 + 0.142883i) q^{32} -0.810564 q^{33} +(-4.09976 + 1.35503i) q^{34} +(-0.940816 + 2.27133i) q^{35} +(-5.84999 - 0.866048i) q^{36} +(3.63349 - 1.50504i) q^{37} +(0.435776 - 5.91925i) q^{38} +(-0.716038 + 0.716038i) q^{39} +(2.11239 + 0.473398i) q^{40} +(-1.54266 - 1.54266i) q^{41} +(0.714234 - 0.616281i) q^{42} +(0.748956 + 1.80814i) q^{43} +(6.69690 + 4.01136i) q^{44} +(2.09083 + 0.866048i) q^{45} +(0.243917 - 0.484753i) q^{46} -7.37109i q^{47} +(-0.642418 - 0.526602i) q^{48} -3.31788i q^{49} +(5.57648 + 2.80596i) q^{50} +(-0.585786 - 0.242641i) q^{51} +(9.45949 - 2.37236i) q^{52} +(1.67661 + 4.04770i) q^{53} +(-1.14288 - 1.32453i) q^{54} +(-2.11239 - 2.11239i) q^{55} +(-8.95089 + 1.55710i) q^{56} +(0.616281 - 0.616281i) q^{57} +(3.43450 + 0.252848i) q^{58} +(-10.1200 + 4.19186i) q^{59} +(0.189436 + 0.255272i) q^{60} +(1.35873 - 3.28026i) q^{61} +(-3.03049 - 9.16902i) q^{62} -9.49791 q^{63} +(2.70160 + 7.53003i) q^{64} -3.73210 q^{65} +(0.359733 + 1.08840i) q^{66} +(-1.99577 + 4.81822i) q^{67} +(3.63899 + 4.90367i) q^{68} +(0.0736202 - 0.0304945i) q^{69} +(3.46742 + 0.255272i) q^{70} +(6.47085 - 6.47085i) q^{71} +(1.43335 + 8.23956i) q^{72} +(-2.84106 - 2.84106i) q^{73} +(-3.63349 - 4.21100i) q^{74} +(0.350801 + 0.846909i) q^{75} +(-8.14161 + 2.04185i) q^{76} +(11.5832 + 4.79793i) q^{77} +(1.27926 + 0.643694i) q^{78} +9.74996i q^{79} +(-0.301825 - 3.04655i) q^{80} +8.61373i q^{81} +(-1.38680 + 2.75608i) q^{82} +(-9.04642 - 3.74715i) q^{83} +(-1.14451 - 0.685544i) q^{84} +(-0.894263 - 2.15894i) q^{85} +(2.09553 - 1.80814i) q^{86} +(0.357582 + 0.357582i) q^{87} +(2.41421 - 10.7727i) q^{88} +(7.58323 - 7.58323i) q^{89} +(0.234985 - 3.19186i) q^{90} +(14.4708 - 5.99402i) q^{91} +(-0.759164 - 0.112389i) q^{92} +(0.542661 - 1.31010i) q^{93} +(-9.89769 + 3.27133i) q^{94} +3.21215 q^{95} +(-0.421998 + 1.09633i) q^{96} +3.71423 q^{97} +(-4.45516 + 1.47250i) q^{98} +(4.41664 - 10.6627i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q - 4 q^{2} - 4 q^{3} + 4 q^{4} - 8 q^{6} - 8 q^{7} - 4 q^{8} + 4 q^{11} + 12 q^{12} - 8 q^{13} + 12 q^{14} + 20 q^{18} + 4 q^{19} + 4 q^{20} + 4 q^{22} - 8 q^{23} - 8 q^{24} - 8 q^{25} - 20 q^{26} + 8 q^{27}+ \cdots + 28 q^{99}+O(q^{100}) $ 8 * q - 4 * q^2 - 4 * q^3 + 4 * q^4 - 8 * q^6 - 8 * q^7 - 4 * q^8 + 4 * q^11 + 12 * q^12 - 8 * q^13 + 12 * q^14 + 20 * q^18 + 4 * q^19 + 4 * q^20 + 4 * q^22 - 8 * q^23 - 8 * q^24 - 8 * q^25 - 20 * q^26 + 8 * q^27 - 16 * q^28 - 12 * q^30 + 32 * q^31 - 24 * q^32 - 16 * q^33 + 16 * q^35 - 40 * q^36 - 8 * q^37 + 8 * q^38 + 16 * q^39 + 16 * q^40 + 8 * q^41 + 8 * q^42 - 12 * q^43 + 20 * q^44 + 12 * q^46 + 48 * q^48 + 16 * q^50 - 16 * q^51 + 12 * q^52 + 8 * q^53 - 8 * q^54 - 16 * q^55 + 8 * q^56 + 16 * q^57 - 12 * q^58 - 20 * q^59 - 8 * q^60 + 24 * q^61 - 24 * q^62 - 40 * q^63 - 8 * q^64 - 28 * q^66 - 36 * q^67 + 16 * q^68 + 32 * q^69 - 8 * q^70 - 24 * q^71 + 12 * q^72 - 32 * q^73 + 8 * q^74 - 12 * q^75 - 20 * q^76 + 16 * q^77 + 28 * q^78 + 8 * q^80 - 20 * q^82 + 20 * q^83 + 8 * q^84 + 8 * q^85 + 4 * q^86 + 56 * q^87 + 8 * q^88 - 16 * q^89 + 28 * q^90 + 40 * q^91 - 16 * q^92 - 16 * q^93 - 24 * q^94 - 8 * q^95 - 16 * q^96 + 32 * q^97 - 24 * q^98 + 28 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/32\mathbb{Z}\right)^\times$.

$n$	$5$	$31$
$\chi(n)$	$e\left(\frac{7}{8}\right)$	$1$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.443806	−	1.34277i	−0.313818	−	0.949483i
$2$	−0.443806	−	1.34277i	−0.313818	−	0.949483i
$3$	0.0794708	−	0.191860i	0.0458825	−	0.110770i	−0.899277	−	0.437380i	$-0.855906\pi$
$3$	0.0794708	−	0.191860i	0.0458825	−	0.110770i	0.945159	+	0.326610i	$0.105906\pi$
$4$	−1.60607	+	1.19186i	−0.803037	+	0.595930i
$5$	0.707107	−	0.292893i	0.316228	−	0.130986i	−0.218924	−	0.975742i	$-0.570255\pi$
$5$	0.707107	−	0.292893i	0.316228	−	0.130986i	0.535151	+	0.844756i	$0.320255\pi$
$6$	−0.292893	−	0.0215628i	−0.119573	−	0.00880300i
$7$	−2.27133	+	2.27133i	−0.858482	+	0.858482i	−0.991159	−	0.132677i	$-0.957643\pi$
$7$	−2.27133	+	2.27133i	−0.858482	+	0.858482i	0.132677	+	0.991159i	$0.457643\pi$
$8$	2.31318	+	1.62764i	0.817833	+	0.575456i
$9$	2.09083	+	2.09083i	0.696942	+	0.696942i
$10$	−0.707107	−	0.819496i	−0.223607	−	0.259147i
$11$	−1.49368	−	3.60607i	−0.450363	−	1.08727i	−0.972184	−	0.234217i	$-0.924747\pi$
$11$	−1.49368	−	3.60607i	−0.450363	−	1.08727i	0.521821	−	0.853055i	$-0.325253\pi$
$12$	0.101034	+	0.402859i	0.0291659	+	0.116295i
$13$	−4.50504	−	1.86605i	−1.24947	−	0.517549i	−0.342810	−	0.939405i	$-0.611379\pi$
$13$	−4.50504	−	1.86605i	−1.24947	−	0.517549i	−0.906663	+	0.421856i	$0.861379\pi$
$14$	4.05791	+	2.04185i	1.08452	+	0.545707i
$15$		−	0.158942i		−	0.0410386i
$16$	1.15894	−	3.82843i	0.289735	−	0.957107i
$17$		−	3.05320i		−	0.740511i	−0.928930	−	0.370255i	$-0.879270\pi$
$17$		−	3.05320i		−	0.740511i	0.928930	−	0.370255i	$-0.120730\pi$
$18$	1.87958	−	3.73542i	0.443022	−	0.880448i
$19$	3.87740	+	1.60607i	0.889537	+	0.368458i	0.780188	−	0.625545i	$-0.215123\pi$
$19$	3.87740	+	1.60607i	0.889537	+	0.368458i	0.109349	+	0.994003i	$0.465123\pi$
$20$	−0.786578	+	1.31318i	−0.175884	+	0.293636i
$21$	0.255272	+	0.616281i	0.0557049	+	0.134484i
$22$	−4.17923	+	3.60607i	−0.891014	+	0.768817i
$23$	0.271330	+	0.271330i	0.0565763	+	0.0565763i	0.734829	−	0.678253i	$-0.237262\pi$
$23$	0.271330	+	0.271330i	0.0565763	+	0.0565763i	−0.678253	+	0.734829i	$0.737262\pi$
$24$	0.496108	−	0.314456i	0.101268	−	0.0641881i
$25$	−3.12132	+	3.12132i	−0.624264	+	0.624264i
$26$	−0.506316	+	6.87740i	−0.0992967	+	1.34877i
$27$	1.14288	−	0.473398i	0.219948	−	0.0911054i
$28$	0.940816	−	6.35503i	0.177797	−	1.20099i
$29$	−0.931884	+	2.24977i	−0.173047	+	0.417771i	−0.986479	−	0.163888i	$-0.947596\pi$
$29$	−0.931884	+	2.24977i	−0.173047	+	0.417771i	0.813432	+	0.581660i	$0.197596\pi$
$30$	−0.213422	+	0.0705392i	−0.0389654	+	0.0128786i
$31$	6.82843			1.22642			0.613211	−	0.789919i	$-0.289878\pi$
$31$	6.82843			1.22642			0.613211	+	0.789919i	$0.289878\pi$
$32$	−5.65505	+	0.142883i	−0.999681	+	0.0252584i
$33$	−0.810564			−0.141101
$34$	−4.09976	+	1.35503i	−0.703103	+	0.232386i
$35$	−0.940816	+	2.27133i	−0.159027	+	0.383925i
$36$	−5.84999	−	0.866048i	−0.974998	−	0.144341i
$37$	3.63349	−	1.50504i	0.597342	−	0.247427i	−0.0634640	−	0.997984i	$-0.520215\pi$
$37$	3.63349	−	1.50504i	0.597342	−	0.247427i	0.660806	+	0.750557i	$0.270215\pi$
$38$	0.435776	−	5.91925i	0.0706923	−	0.960230i
$39$	−0.716038	+	0.716038i	−0.114658	+	0.114658i
$40$	2.11239	+	0.473398i	0.333998	+	0.0748508i
$41$	−1.54266	−	1.54266i	−0.240923	−	0.240923i	0.576309	−	0.817232i	$-0.304493\pi$
$41$	−1.54266	−	1.54266i	−0.240923	−	0.240923i	−0.817232	+	0.576309i	$0.804493\pi$
$42$	0.714234	−	0.616281i	0.110209	−	0.0950942i
$43$	0.748956	+	1.80814i	0.114215	+	0.275739i	0.970642	−	0.240529i	$-0.0773209\pi$
$43$	0.748956	+	1.80814i	0.114215	+	0.275739i	−0.856427	+	0.516268i	$0.827321\pi$
$44$	6.69690	+	4.01136i	1.00960	+	0.604735i
$45$	2.09083	+	0.866048i	0.311682	+	0.129103i
$46$	0.243917	−	0.484753i	0.0359636	−	0.0714729i
$47$		−	7.37109i		−	1.07518i	−0.843205	−	0.537592i	$-0.819334\pi$
$47$		−	7.37109i		−	1.07518i	0.843205	−	0.537592i	$-0.180666\pi$
$48$	−0.642418	−	0.526602i	−0.0927251	−	0.0760085i
$49$		−	3.31788i		−	0.473983i
$50$	5.57648	+	2.80596i	0.788634	+	0.396823i
$51$	−0.585786	−	0.242641i	−0.0820265	−	0.0339765i
$52$	9.45949	−	2.37236i	1.31180	−	0.328988i
$53$	1.67661	+	4.04770i	0.230300	+	0.555994i	0.996213	−	0.0869508i	$-0.0277123\pi$
$53$	1.67661	+	4.04770i	0.230300	+	0.555994i	−0.765912	+	0.642945i	$0.777712\pi$
$54$	−1.14288	−	1.32453i	−0.155527	−	0.180246i
$55$	−2.11239	−	2.11239i	−0.284834	−	0.284834i
$56$	−8.95089	+	1.55710i	−1.19611	+	0.208076i
$57$	0.616281	−	0.616281i	0.0816284	−	0.0816284i
$58$	3.43450	+	0.252848i	0.450972	+	0.0332006i
$59$	−10.1200	+	4.19186i	−1.31752	+	0.545734i	−0.927069	−	0.374891i	$-0.877680\pi$
$59$	−10.1200	+	4.19186i	−1.31752	+	0.545734i	−0.390449	+	0.920625i	$0.627680\pi$
$60$	0.189436	+	0.255272i	0.0244561	+	0.0329555i
$61$	1.35873	−	3.28026i	0.173967	−	0.419995i	−0.812713	−	0.582664i	$-0.802010\pi$
$61$	1.35873	−	3.28026i	0.173967	−	0.419995i	0.986681	+	0.162669i	$0.0520104\pi$
$62$	−3.03049	−	9.16902i	−0.384873	−	1.16447i
$63$	−9.49791			−1.19662
$64$	2.70160	+	7.53003i	0.337700	+	0.941254i
$65$	−3.73210			−0.462910
$66$	0.359733	+	1.08840i	0.0442800	+	0.133973i
$67$	−1.99577	+	4.81822i	−0.243822	+	0.588639i	−0.997656	−	0.0684259i	$-0.978202\pi$
$67$	−1.99577	+	4.81822i	−0.243822	+	0.588639i	0.753834	+	0.657065i	$0.228202\pi$
$68$	3.63899	+	4.90367i	0.441292	+	0.594657i
$69$	0.0736202	−	0.0304945i	0.00886283	−	0.00367110i
$70$	3.46742	+	0.255272i	0.414436	+	0.0305108i
$71$	6.47085	−	6.47085i	0.767948	−	0.767948i	−0.209797	−	0.977745i	$-0.567280\pi$
$71$	6.47085	−	6.47085i	0.767948	−	0.767948i	0.977745	+	0.209797i	$0.0672803\pi$
$72$	1.43335	+	8.23956i	0.168922	+	0.971041i
$73$	−2.84106	−	2.84106i	−0.332521	−	0.332521i	0.521022	−	0.853543i	$-0.325551\pi$
$73$	−2.84106	−	2.84106i	−0.332521	−	0.332521i	−0.853543	+	0.521022i	$0.825551\pi$
$74$	−3.63349	−	4.21100i	−0.422384	−	0.489519i
$75$	0.350801	+	0.846909i	0.0405070	+	0.0977926i
$76$	−8.14161	+	2.04185i	−0.933906	+	0.234216i
$77$	11.5832	+	4.79793i	1.32003	+	0.546775i
$78$	1.27926	+	0.643694i	0.144847	+	0.0728840i
$79$			9.74996i			1.09696i	0.836165	+	0.548478i	$0.184793\pi$
$79$			9.74996i			1.09696i	−0.836165	+	0.548478i	$0.815207\pi$
$80$	−0.301825	−	3.04655i	−0.0337450	−	0.340615i
$81$			8.61373i			0.957081i
$82$	−1.38680	+	2.75608i	−0.153146	+	0.304358i
$83$	−9.04642	−	3.74715i	−0.992974	−	0.411303i	−0.173758	−	0.984788i	$-0.555591\pi$
$83$	−9.04642	−	3.74715i	−0.992974	−	0.411303i	−0.819216	+	0.573485i	$0.805591\pi$
$84$	−1.14451	−	0.685544i	−0.124876	−	0.0747990i
$85$	−0.894263	−	2.15894i	−0.0969964	−	0.234170i
$86$	2.09553	−	1.80814i	0.225967	−	0.194977i
$87$	0.357582	+	0.357582i	0.0383368	+	0.0383368i
$88$	2.41421	−	10.7727i	0.257356	−	1.14837i
$89$	7.58323	−	7.58323i	0.803821	−	0.803821i	−0.179869	−	0.983691i	$-0.557567\pi$
$89$	7.58323	−	7.58323i	0.803821	−	0.803821i	0.983691	+	0.179869i	$0.0575675\pi$
$90$	0.234985	−	3.19186i	0.0247696	−	0.336452i
$91$	14.4708	−	5.99402i	1.51696	−	0.628344i
$92$	−0.759164	−	0.112389i	−0.0791483	−	0.0117173i
$93$	0.542661	−	1.31010i	0.0562713	−	0.135851i
$94$	−9.89769	+	3.27133i	−1.02087	+	0.337412i
$95$	3.21215			0.329559
$96$	−0.421998	+	1.09633i	−0.0430700	+	0.111894i
$97$	3.71423			0.377123			0.188562	−	0.982061i	$-0.439617\pi$
$97$	3.71423			0.377123			0.188562	+	0.982061i	$0.439617\pi$
$98$	−4.45516	+	1.47250i	−0.450039	+	0.148744i
$99$	4.41664	−	10.6627i	0.443889	−	1.07164i
$100$	1.29289	−	8.73324i	0.129289	−	0.873324i
$101$	−9.04770	+	3.74768i	−0.900280	+	0.372908i	−0.784328	−	0.620347i	$-0.786992\pi$
$101$	−9.04770	+	3.74768i	−0.900280	+	0.372908i	−0.115952	+	0.993255i	$0.536992\pi$
$102$	−0.0658358	+	0.894263i	−0.00651871	+	0.0885452i
$103$	0.450688	−	0.450688i	0.0444076	−	0.0444076i	−0.684554	−	0.728962i	$-0.740003\pi$
$103$	0.450688	−	0.450688i	0.0444076	−	0.0444076i	0.728962	+	0.684554i	$0.240003\pi$
$104$	−7.38372	−	11.6491i	−0.724033	−	1.14229i
$105$	0.361009	+	0.361009i	0.0352309	+	0.0352309i
$106$	4.69105	−	4.04770i	0.455635	−	0.393147i
$107$	6.82420	+	16.4751i	0.659720	+	1.59271i	0.798236	+	0.602345i	$0.205767\pi$
$107$	6.82420	+	16.4751i	0.659720	+	1.59271i	−0.138515	+	0.990360i	$0.544233\pi$
$108$	−1.27133	+	2.12247i	−0.122334	+	0.204235i
$109$	−7.20664	−	2.98509i	−0.690271	−	0.285920i	0.00984205	−	0.999952i	$-0.496867\pi$
$109$	−7.20664	−	2.98509i	−0.690271	−	0.285920i	−0.700113	+	0.714032i	$0.746867\pi$
$110$	−1.89897	+	3.77395i	−0.181059	+	0.359832i
$111$		−	0.816726i		−	0.0775202i
$112$	6.06328	+	11.3280i	0.572926	+	1.07039i
$113$			8.76744i			0.824771i	0.911009	+	0.412386i	$0.135304\pi$
$113$			8.76744i			0.824771i	−0.911009	+	0.412386i	$0.864696\pi$
$114$	−1.10103	−	0.554016i	−0.103121	−	0.0518883i
$115$	0.271330	+	0.112389i	0.0253017	+	0.0104803i
$116$	−1.18473	−	4.72397i	−0.110000	−	0.438609i
$117$	−5.51767	−	13.3208i	−0.510109	−	1.23151i
$118$	10.1200	+	11.7285i	0.931626	+	1.07970i
$119$	6.93484	+	6.93484i	0.635715	+	0.635715i
$120$	0.258699	−	0.367661i	0.0236159	−	0.0335627i
$121$	−2.99450	+	2.99450i	−0.272227	+	0.272227i
$122$	−5.00766	−	0.368664i	−0.453372	−	0.0333773i
$123$	−0.418571	+	0.173378i	−0.0377412	+	0.0156329i
$124$	−10.9670	+	8.13853i	−0.984861	+	0.730861i
$125$	−2.75736	+	6.65685i	−0.246626	+	0.595407i
$126$	4.21523	+	12.7535i	0.375522	+	1.13617i
$127$	−11.4642			−1.01728			−0.508641	−	0.860979i	$-0.669852\pi$
$127$	−11.4642			−1.01728			−0.508641	+	0.860979i	$0.669852\pi$
$128$	8.91213	−	6.96951i	0.787728	−	0.616023i
$129$	0.406429			0.0357841
$130$	1.65633	+	5.01136i	0.145269	+	0.439525i
$131$	4.32211	−	10.4345i	0.377625	−	0.911667i	−0.614785	−	0.788694i	$-0.710757\pi$
$131$	4.32211	−	10.4345i	0.377625	−	0.911667i	0.992410	−	0.122972i	$-0.0392426\pi$
$132$	1.30182	−	0.966078i	0.113309	−	0.0840863i
$133$	−12.4548	+	5.15894i	−1.07997	+	0.447337i
$134$	7.35550	+	0.541513i	0.635419	+	0.0467796i
$135$	0.669485	−	0.669485i	0.0576201	−	0.0576201i
$136$	4.96951	−	7.06261i	0.426132	−	0.605614i
$137$	−3.42429	−	3.42429i	−0.292557	−	0.292557i	0.545533	−	0.838090i	$-0.316327\pi$
$137$	−3.42429	−	3.42429i	−0.292557	−	0.292557i	−0.838090	+	0.545533i	$0.816327\pi$
$138$	−0.0736202	−	0.0853215i	−0.00626697	−	0.00726305i
$139$	−7.35745	−	17.7625i	−0.624051	−	1.50659i	−0.846907	−	0.531741i	$-0.821538\pi$
$139$	−7.35745	−	17.7625i	−0.624051	−	1.50659i	0.222856	−	0.974851i	$-0.428462\pi$
$140$	−1.19609	−	4.76924i	−0.101088	−	0.403075i
$141$	−1.41421	−	0.585786i	−0.119098	−	0.0493321i
$142$	−11.5607	−	5.81707i	−0.970150	−	0.488158i
$143$			19.0328i			1.59160i
$144$	10.4277	−	5.58143i	0.868977	−	0.465119i
$145$			1.86377i			0.154778i
$146$	−2.55402	+	5.07577i	−0.211372	+	0.420074i
$147$	−0.636568	−	0.263675i	−0.0525032	−	0.0217475i
$148$	−4.04185	+	6.74781i	−0.332238	+	0.554666i
$149$	−0.931884	−	2.24977i	−0.0763429	−	0.184308i	0.881101	−	0.472929i	$-0.156803\pi$
$149$	−0.931884	−	2.24977i	−0.0763429	−	0.184308i	−0.957443	+	0.288621i	$0.906803\pi$
$150$	0.981518	−	0.846909i	0.0801406	−	0.0691498i
$151$	−4.21395	−	4.21395i	−0.342926	−	0.342926i	0.514540	−	0.857466i	$-0.327963\pi$
$151$	−4.21395	−	4.21395i	−0.342926	−	0.342926i	−0.857466	+	0.514540i	$0.827963\pi$
$152$	6.35503	+	10.0261i	0.515461	+	0.813227i
$153$	6.38372	−	6.38372i	0.516093	−	0.516093i
$154$	1.30182	−	17.6830i	0.104904	−	1.42494i
$155$	4.82843	−	2.00000i	0.387829	−	0.160644i
$156$	0.296593	−	2.00343i	0.0237464	−	0.160403i
$157$	5.84401	−	14.1087i	0.466403	−	1.12600i	−0.499319	−	0.866418i	$-0.666417\pi$
$157$	5.84401	−	14.1087i	0.466403	−	1.12600i	0.965722	−	0.259578i	$-0.0835835\pi$
$158$	13.0920	−	4.32709i	1.04154	−	0.344245i
$159$	0.909832			0.0721543
$160$	−3.95687	+	1.75736i	−0.312818	+	0.138931i
$161$	−1.23256			−0.0971395
$162$	11.5663	−	3.82282i	0.908732	−	0.300349i
$163$	−2.72369	+	6.57558i	−0.213336	+	0.515039i	−0.993932	−	0.109997i	$-0.964916\pi$
$163$	−2.72369	+	6.57558i	−0.213336	+	0.515039i	0.780596	+	0.625036i	$0.214916\pi$
$164$	4.31626	+	0.638991i	0.337043	+	0.0498968i
$165$	−0.573155	+	0.237409i	−0.0446201	+	0.0184822i
$166$	−1.01672	+	13.8103i	−0.0789125	+	1.07189i
$167$	3.26355	−	3.26355i	0.252541	−	0.252541i	−0.569471	−	0.822012i	$-0.692852\pi$
$167$	3.26355	−	3.26355i	0.252541	−	0.252541i	0.822012	+	0.569471i	$0.192852\pi$
$168$	−0.412591	+	1.84106i	−0.0318321	+	0.142041i
$169$	7.62086	+	7.62086i	0.586220	+	0.586220i
$170$	−2.50209	+	2.15894i	−0.191901	+	0.165583i
$171$	4.74896	+	11.4650i	0.363162	+	0.876750i
$172$	−3.35793	−	2.01136i	−0.256040	−	0.153364i
$173$	6.86605	+	2.84401i	0.522016	+	0.216226i	0.628102	−	0.778131i	$-0.283832\pi$
$173$	6.86605	+	2.84401i	0.522016	+	0.216226i	−0.106086	+	0.994357i	$0.533832\pi$
$174$	0.321454	−	0.638848i	0.0243694	−	0.0484309i
$175$		−	14.1791i		−	1.07184i
$176$	−15.5367	+	1.53923i	−1.17112	+	0.116024i
$177$			2.27476i			0.170981i
$178$	−13.5480	−	6.81707i	−1.01547	−	0.510961i
$179$	−1.79370	−	0.742977i	−0.134068	−	0.0555327i	0.314641	−	0.949211i	$-0.398116\pi$
$179$	−1.79370	−	0.742977i	−0.134068	−	0.0555327i	−0.448709	+	0.893678i	$0.648116\pi$
$180$	−4.39023	+	1.10103i	−0.327228	+	0.0820662i
$181$	6.12132	+	14.7782i	0.454994	+	1.09845i	0.970399	+	0.241506i	$0.0776415\pi$
$181$	6.12132	+	14.7782i	0.454994	+	1.09845i	−0.515405	+	0.856947i	$0.672359\pi$
$182$	−14.4708	−	16.7709i	−1.07265	−	1.24314i
$183$	−0.521370	−	0.521370i	−0.0385408	−	0.0385408i
$184$	0.186009	+	1.06926i	0.0137128	+	0.0788271i
$185$	2.12845	−	2.12845i	0.156487	−	0.156487i
$186$	−2.00000	−	0.147240i	−0.146647	−	0.0107962i
$187$	−11.0101	+	4.56052i	−0.805137	+	0.333499i
$188$	8.78530	+	11.8385i	0.640734	+	0.863412i
$189$	−1.52062	+	3.67111i	−0.110609	+	0.267034i
$190$	−1.42557	−	4.31318i	−0.103422	−	0.312911i
$191$	−6.19266			−0.448085			−0.224043	−	0.974579i	$-0.571925\pi$
$191$	−6.19266			−0.448085			−0.224043	+	0.974579i	$0.571925\pi$
$192$	1.65941	+	0.0800895i	0.119757	+	0.00577996i
$193$	14.5784			1.04938			0.524688	−	0.851295i	$-0.324182\pi$
$193$	14.5784			1.04938			0.524688	+	0.851295i	$0.324182\pi$
$194$	−1.64840	−	4.98737i	−0.118348	−	0.358072i
$195$	−0.296593	+	0.716038i	−0.0212395	+	0.0512766i
$196$	3.95445	+	5.32876i	0.282461	+	0.380626i
$197$	18.5025	−	7.66398i	1.31825	−	0.546036i	0.390968	−	0.920404i	$-0.372140\pi$
$197$	18.5025	−	7.66398i	1.31825	−	0.546036i	0.927280	+	0.374368i	$0.122140\pi$
$198$	−16.2777	−	1.19837i	−1.15681	−	0.0851643i
$199$	−12.3777	+	12.3777i	−0.877435	+	0.877435i	−0.993269	−	0.115834i	$-0.963046\pi$
$199$	−12.3777	+	12.3777i	−0.877435	+	0.877435i	0.115834	+	0.993269i	$0.463046\pi$
$200$	−12.3005	+	2.13980i	−0.869780	+	0.151307i
$201$	0.765816	+	0.765816i	0.0540165	+	0.0540165i
$202$	9.04770	+	10.4858i	0.636594	+	0.737775i
$203$	−2.99335	−	7.22658i	−0.210092	−	0.507207i
$204$	1.23001	−	0.308476i	0.0861179	−	0.0215977i
$205$	−1.54266	−	0.638991i	−0.107744	−	0.0446291i
$206$	−0.805188	−	0.405153i	−0.0561001	−	0.0282283i
$207$			1.13461i			0.0788608i
$208$	−12.3651	+	15.0846i	−0.857366	+	1.04593i
$209$		−	16.3812i		−	1.13311i
$210$	0.324535	−	0.644971i	0.0223950	−	0.0445072i
$211$	3.54851	+	1.46984i	0.244290	+	0.101188i	0.501469	−	0.865176i	$-0.332793\pi$
$211$	3.54851	+	1.46984i	0.244290	+	0.101188i	−0.257179	+	0.966364i	$0.582793\pi$
$212$	−7.51705	−	4.50262i	−0.516273	−	0.309241i
$213$	−0.727250	−	1.75574i	−0.0498304	−	0.120301i
$214$	19.0936	−	16.4751i	1.30521	−	1.12621i
$215$	1.05918	+	1.05918i	0.0722358	+	0.0722358i
$216$	3.41421	+	0.765144i	0.232308	+	0.0520614i
$217$	−15.5096	+	15.5096i	−1.05286	+	1.05286i
$218$	−0.809945	+	11.0017i	−0.0548564	+	0.745128i
$219$	−0.770865	+	0.319303i	−0.0520903	+	0.0215765i
$220$	5.91032	+	0.874980i	0.398474	+	0.0589911i
$221$	−5.69743	+	13.7548i	−0.383250	+	0.925248i
$222$	−1.09668	+	0.362468i	−0.0736041	+	0.0243272i
$223$	27.5550			1.84522			0.922611	−	0.385732i	$-0.126051\pi$
$223$	27.5550			1.84522			0.922611	+	0.385732i	$0.126051\pi$
$224$	12.5200	−	13.1690i	0.836524	−	0.879892i
$225$	−13.0523			−0.870152
$226$	11.7727	−	3.89104i	0.783106	−	0.258828i
$227$	−6.02694	+	14.5503i	−0.400022	+	0.965738i	0.587638	+	0.809124i	$0.300058\pi$
$227$	−6.02694	+	14.5503i	−0.400022	+	0.965738i	−0.987660	+	0.156614i	$0.949942\pi$
$228$	−0.255272	+	1.72431i	−0.0169058	+	0.114195i
$229$	18.2777	−	7.57088i	1.20783	−	0.500298i	0.314306	−	0.949322i	$-0.398228\pi$
$229$	18.2777	−	7.57088i	1.20783	−	0.500298i	0.893520	+	0.449024i	$0.148228\pi$
$230$	0.0304945	−	0.414214i	0.00201075	−	0.0273124i
$231$	1.84106	−	1.84106i	0.121133	−	0.121133i
$232$	−5.81742	+	3.68735i	−0.381932	+	0.242086i
$233$	−6.70939	−	6.70939i	−0.439547	−	0.439547i	0.452313	−	0.891859i	$-0.350599\pi$
$233$	−6.70939	−	6.70939i	−0.439547	−	0.439547i	−0.891859	+	0.452313i	$0.850599\pi$
$234$	−15.4381	+	13.3208i	−1.00922	+	0.870810i
$235$	−2.15894	−	5.21215i	−0.140834	−	0.340003i
$236$	11.2574	−	18.7941i	0.732796	−	1.22339i
$237$	1.87062	+	0.774837i	0.121510	+	0.0503311i
$238$	6.23418	−	12.3896i	0.404102	−	0.803100i
$239$		−	26.1995i		−	1.69471i	−0.531030	−	0.847353i	$-0.678195\pi$
$239$		−	26.1995i		−	1.69471i	0.531030	−	0.847353i	$-0.321805\pi$
$240$	−0.608497	−	0.184204i	−0.0392783	−	0.0118903i
$241$		−	13.6734i		−	0.880781i	−0.897806	−	0.440391i	$-0.854840\pi$
$241$		−	13.6734i		−	0.880781i	0.897806	−	0.440391i	$-0.145160\pi$
$242$	5.34990	+	2.69195i	0.343905	+	0.173045i
$243$	5.08128	+	2.10473i	0.325964	+	0.135019i
$244$	1.72739	+	6.88775i	0.110585	+	0.440943i
$245$	−0.971786	−	2.34610i	−0.0620851	−	0.149887i
$246$	0.418571	+	0.485099i	0.0266871	+	0.0309288i
$247$	−14.4708	−	14.4708i	−0.920758	−	0.920758i
$248$	15.7954	+	11.1142i	1.00301	+	0.705752i
$249$	−1.43785	+	1.43785i	−0.0911203	+	0.0911203i
$250$	10.1624	+	0.748155i	0.642725	+	0.0473175i
$251$	−13.2054	+	5.46984i	−0.833515	+	0.345253i	−0.758293	−	0.651913i	$-0.773967\pi$
$251$	−13.2054	+	5.46984i	−0.833515	+	0.345253i	−0.0752219	+	0.997167i	$0.523967\pi$
$252$	15.2543	−	11.3202i	0.960933	−	0.713104i
$253$	0.573155	−	1.38372i	0.0360340	−	0.0869937i
$254$	5.08787	+	15.3938i	0.319242	+	0.965893i
$255$	−0.485281			−0.0303895
$256$	−13.3137	−	8.87385i	−0.832107	−	0.554615i
$257$	−20.0656			−1.25166			−0.625828	−	0.779961i	$-0.715239\pi$
$257$	−20.0656			−1.25166			−0.625828	+	0.779961i	$0.715239\pi$
$258$	−0.180376	−	0.545742i	−0.0112297	−	0.0339764i
$259$	−4.83441	+	11.6713i	−0.300395	+	0.725219i
$260$	5.99402	−	4.44814i	0.371733	−	0.275862i
$261$	−6.65228	+	2.75546i	−0.411766	+	0.170559i
$262$	−15.9293	−	1.17272i	−0.984117	−	0.0724509i
$263$	4.74976	−	4.74976i	0.292883	−	0.292883i	−0.545335	−	0.838218i	$-0.683598\pi$
$263$	4.74976	−	4.74976i	0.292883	−	0.292883i	0.838218	+	0.545335i	$0.183598\pi$
$264$	−1.87498	−	1.31930i	−0.115397	−	0.0811975i
$265$	2.37109	+	2.37109i	0.145655	+	0.145655i
$266$	12.4548	+	14.4344i	0.763652	+	0.885028i
$267$	−0.852270	−	2.05756i	−0.0521581	−	0.125921i
$268$	−2.53729	−	10.1171i	−0.154989	−	0.618000i
$269$	−22.3818	−	9.27086i	−1.36464	−	0.565254i	−0.424313	−	0.905516i	$-0.639484\pi$
$269$	−22.3818	−	9.27086i	−1.36464	−	0.565254i	−0.940331	+	0.340262i	$0.889484\pi$
$270$	−1.19609	−	0.601845i	−0.0727916	−	0.0366271i
$271$		−	0.693146i		−	0.0421056i	−0.999778	−	0.0210528i	$-0.993298\pi$
$271$		−	0.693146i		−	0.0421056i	0.999778	−	0.0210528i	$-0.00670181\pi$
$272$	−11.6890	−	3.53849i	−0.708748	−	0.214552i
$273$		−	3.25272i		−	0.196864i
$274$	−3.07832	+	6.11776i	−0.185968	+	0.369588i
$275$	15.9180	+	6.59344i	0.959890	+	0.397600i
$276$	−0.0818942	+	0.136721i	−0.00492945	+	0.00822965i
$277$	11.1898	+	27.0147i	0.672332	+	1.62315i	0.777637	+	0.628713i	$0.216418\pi$
$277$	11.1898	+	27.0147i	0.672332	+	1.62315i	−0.105305	+	0.994440i	$0.533582\pi$
$278$	−20.5857	+	17.7625i	−1.23465	+	1.06532i
$279$	14.2771	+	14.2771i	0.854745	+	0.854745i
$280$	−5.87318	+	3.72269i	−0.350989	+	0.222473i
$281$	−6.97958	+	6.97958i	−0.416367	+	0.416367i	−0.883949	−	0.467582i	$-0.845125\pi$
$281$	−6.97958	+	6.97958i	−0.416367	+	0.416367i	0.467582	+	0.883949i	$0.345125\pi$
$282$	−0.158942	+	2.15894i	−0.00946484	+	0.128563i
$283$	14.6079	−	6.05078i	0.868348	−	0.359682i	0.0963814	−	0.995344i	$-0.469273\pi$
$283$	14.6079	−	6.05078i	0.868348	−	0.359682i	0.771967	+	0.635663i	$0.219273\pi$
$284$	−2.68031	+	18.1050i	−0.159047	+	1.07433i
$285$	0.255272	−	0.616281i	0.0151210	−	0.0365053i
$286$	25.5567	−	8.44686i	1.51120	−	0.499473i
$287$	7.00778			0.413656
$288$	−12.1225	−	11.5250i	−0.714323	−	0.679116i
$289$	7.67794			0.451644
$290$	2.50262	−	0.827151i	0.146959	−	0.0485720i
$291$	0.295173	−	0.712611i	0.0173034	−	0.0417740i
$292$	7.94909	+	1.17680i	0.465185	+	0.0688673i
$293$	−9.85571	+	4.08237i	−0.575777	+	0.238495i	−0.651518	−	0.758633i	$-0.725868\pi$
$293$	−9.85571	+	4.08237i	−0.575777	+	0.238495i	0.0757415	+	0.997127i	$0.475868\pi$
$294$	−0.0715430	+	0.971786i	−0.00417247	+	0.0566757i
$295$	−5.92818	+	5.92818i	−0.345152	+	0.345152i
$296$	10.8546	+	2.43257i	0.630909	+	0.141390i
$297$	−3.41421	−	3.41421i	−0.198113	−	0.198113i
$298$	−2.60735	+	2.24977i	−0.151040	+	0.130326i
$299$	−0.716038	−	1.72867i	−0.0414096	−	0.0999715i
$300$	−1.57281	−	0.942092i	−0.0908062	−	0.0543917i
$301$	−5.80801	−	2.40576i	−0.334768	−	0.138666i
$302$	−3.78820	+	7.52855i	−0.217986	+	0.433219i
$303$			2.03372i			0.116834i
$304$	10.6424	−	12.9830i	0.610385	−	0.744627i
$305$		−	2.71746i		−	0.155601i
$306$	−11.4050	−	5.73875i	−0.651981	−	0.328062i
$307$	6.96272	+	2.88406i	0.397384	+	0.164602i	0.572421	−	0.819960i	$-0.306004\pi$
$307$	6.96272	+	2.88406i	0.397384	+	0.164602i	−0.175037	+	0.984562i	$0.556004\pi$
$308$	−24.3220	+	6.09976i	−1.38587	+	0.347566i
$309$	−0.0506522	−	0.122285i	−0.00288150	−	0.00695656i
$310$	−4.82843	−	5.59587i	−0.274236	−	0.317824i
$311$	4.65020	+	4.65020i	0.263689	+	0.263689i	0.826551	−	0.562862i	$-0.190300\pi$
$311$	4.65020	+	4.65020i	0.263689	+	0.263689i	−0.562862	+	0.826551i	$0.690300\pi$
$312$	−2.82178	+	0.490876i	−0.159752	+	0.0277904i
$313$	−0.325668	+	0.325668i	−0.0184078	+	0.0184078i	−0.716251	−	0.697843i	$-0.754143\pi$
$313$	−0.325668	+	0.325668i	−0.0184078	+	0.0184078i	0.697843	+	0.716251i	$0.254143\pi$
$314$	−21.5384	−	1.58566i	−1.21548	−	0.0894838i
$315$	−6.71604	+	2.78187i	−0.378406	+	0.156741i
$316$	−11.6206	−	15.6591i	−0.653709	−	0.880896i
$317$	7.92866	−	19.1415i	0.445318	−	1.07509i	−0.528738	−	0.848785i	$-0.677335\pi$
$317$	7.92866	−	19.1415i	0.445318	−	1.07509i	0.974056	−	0.226307i	$-0.0726654\pi$
$318$	−0.403788	−	1.22170i	−0.0226433	−	0.0685093i
$319$	9.50477			0.532165
$320$	4.11582	+	4.53325i	0.230081	+	0.253417i
$321$	3.70322			0.206694
$322$	0.547018	+	1.65505i	0.0304841	+	0.0922323i
$323$	4.90367	−	11.8385i	0.272847	−	0.658712i
$324$	−10.2664	−	13.8343i	−0.570353	−	0.768571i
$325$	19.8862	−	8.23714i	1.10309	−	0.456914i
$326$	10.0383	+	0.739021i	0.555970	+	0.0409306i
$327$	−1.14544	+	1.14544i	−0.0633427	+	0.0633427i
$328$	−1.05756	−	6.07934i	−0.0583941	−	0.335676i
$329$	16.7422	+	16.7422i	0.923026	+	0.923026i
$330$	0.573155	+	0.664253i	0.0315512	+	0.0365659i
$331$	−5.91798	−	14.2873i	−0.325281	−	0.785299i	−0.998930	−	0.0462470i	$-0.985274\pi$
$331$	−5.91798	−	14.2873i	−0.325281	−	0.785299i	0.673649	−	0.739052i	$-0.264726\pi$
$332$	18.9953	−	4.76387i	1.04250	−	0.261451i
$333$	10.7438	+	4.45021i	0.588755	+	0.243870i
$334$	−5.83058	−	2.93382i	−0.319035	−	0.160531i
$335$			3.99154i			0.218081i
$336$	2.65523	−	0.263056i	0.144855	−	0.0143509i
$337$			4.44955i			0.242383i	0.992629	+	0.121191i	$0.0386715\pi$
$337$			4.44955i			0.242383i	−0.992629	+	0.121191i	$0.961329\pi$
$338$	6.85089	−	13.6152i	0.372639	−	0.740572i
$339$	1.68212	+	0.696756i	0.0913600	+	0.0378426i
$340$	4.00941	+	2.40158i	0.217441	+	0.130244i
$341$	−10.1995	−	24.6238i	−0.552335	−	1.33345i
$342$	13.2873	−	11.4650i	0.718493	−	0.619956i
$343$	−8.36330	−	8.36330i	−0.451576	−	0.451576i
$344$	−1.21052	+	5.40158i	−0.0652671	+	0.291234i
$345$	0.0431257	−	0.0431257i	0.00232181	−	0.00232181i
$346$	0.771666	−	10.4817i	0.0414850	−	0.563501i
$347$	7.87485	−	3.26187i	0.422744	−	0.175106i	−0.161161	−	0.986928i	$-0.551524\pi$
$347$	7.87485	−	3.26187i	0.422744	−	0.175106i	0.583905	+	0.811822i	$0.301524\pi$
$348$	−1.00049	−	0.148115i	−0.0536319	−	0.00793981i
$349$	−12.9387	+	31.2369i	−0.692595	+	1.67207i	0.0468913	+	0.998900i	$0.485069\pi$
$349$	−12.9387	+	31.2369i	−0.692595	+	1.67207i	−0.739486	+	0.673172i	$0.764931\pi$
$350$	−19.0393	+	6.29276i	−1.01769	+	0.336362i
$351$	−6.03212			−0.321971
$352$	8.96211	+	20.1791i	0.477682	+	1.07555i
$353$	20.7013			1.10182			0.550911	−	0.834564i	$-0.314280\pi$
$353$	20.7013			1.10182			0.550911	+	0.834564i	$0.314280\pi$
$354$	3.05448	−	1.00955i	0.162344	−	0.0536570i
$355$	2.68031	−	6.47085i	0.142256	−	0.343437i
$356$	−3.14108	+	21.2174i	−0.166477	+	1.12452i
$357$	1.88163	−	0.779397i	0.0995865	−	0.0412501i
$358$	−0.201592	+	2.73827i	−0.0106545	+	0.144722i
$359$	−19.9483	+	19.9483i	−1.05283	+	1.05283i	−0.0543091	+	0.998524i	$0.517296\pi$
$359$	−19.9483	+	19.9483i	−1.05283	+	1.05283i	−0.998524	+	0.0543091i	$0.982704\pi$
$360$	3.42684	+	5.40643i	0.180611	+	0.284944i
$361$	−0.980242	−	0.980242i	−0.0515917	−	0.0515917i
$362$	17.1270	−	14.7782i	0.900177	−	0.776724i
$363$	0.336548	+	0.812498i	0.0176642	+	0.0426451i
$364$	−16.0972	+	26.8741i	−0.843723	+	1.40858i
$365$	−2.84106	−	1.17680i	−0.148708	−	0.0615968i
$366$	−0.468694	+	0.931468i	−0.0244990	+	0.0486886i
$367$			9.14270i			0.477245i	0.971112	+	0.238623i	$0.0766959\pi$
$367$			9.14270i			0.477245i	−0.971112	+	0.238623i	$0.923304\pi$
$368$	1.35322	−	0.724312i	0.0705417	−	0.0377574i
$369$		−	6.45087i		−	0.335819i
$370$	−3.80264	−	1.91340i	−0.197690	−	0.0994731i
$371$	−13.0018	−	5.38552i	−0.675020	−	0.279602i
$372$	0.689901	+	2.75089i	0.0357697	+	0.142627i
$373$	−3.71974	−	8.98024i	−0.192601	−	0.464979i	0.797848	−	0.602858i	$-0.205972\pi$
$373$	−3.71974	−	8.98024i	−0.192601	−	0.464979i	−0.990449	+	0.137879i	$0.955972\pi$
$374$	11.0101	+	12.7600i	0.569318	+	0.659806i
$375$	1.05805	+	1.05805i	0.0546375	+	0.0546375i
$376$	11.9974	−	17.0507i	0.618721	−	0.879320i
$377$	8.39635	−	8.39635i	0.432434	−	0.432434i
$378$	5.60432	+	0.412591i	0.288255	+	0.0212214i
$379$	−7.80216	+	3.23176i	−0.400770	+	0.166004i	−0.573959	−	0.818884i	$-0.694593\pi$
$379$	−7.80216	+	3.23176i	−0.400770	+	0.166004i	0.173189	+	0.984889i	$0.444593\pi$
$380$	−5.15894	+	3.82843i	−0.264648	+	0.196394i
$381$	−0.911069	+	2.19951i	−0.0466755	+	0.112685i
$382$	2.74834	+	8.31533i	0.140617	+	0.425449i
$383$	−28.4633			−1.45440			−0.727202	−	0.686423i	$-0.759180\pi$
$383$	−28.4633			−1.45440			−0.727202	+	0.686423i	$0.759180\pi$
$384$	−0.628912	−	2.26375i	−0.0320940	−	0.115521i
$385$	9.59587			0.489051
$386$	−6.46997	−	19.5754i	−0.329313	−	0.996364i
$387$	−2.21457	+	5.34644i	−0.112573	+	0.271775i
$388$	−5.96533	+	4.42684i	−0.302844	+	0.224739i
$389$	−21.0834	+	8.73304i	−1.06897	+	0.442783i	−0.846628	−	0.532185i	$-0.821371\pi$
$389$	−21.0834	+	8.73304i	−1.06897	+	0.442783i	−0.222344	+	0.974968i	$0.571371\pi$
$390$	1.09311	+	0.0804746i	0.0553516	+	0.00407499i
$391$	0.828427	−	0.828427i	0.0418954	−	0.0418954i
$392$	5.40031	−	7.67486i	0.272757	−	0.387639i
$393$	−1.65848	−	1.65848i	−0.0836591	−	0.0836591i
$394$	−18.5025	−	21.4433i	−0.932142	−	1.08030i
$395$	2.85570	+	6.89426i	0.143686	+	0.346888i
$396$	5.61500	+	22.3891i	0.282165	+	1.12509i
$397$	−6.46808	−	2.67916i	−0.324623	−	0.134463i	0.214420	−	0.976742i	$-0.431214\pi$
$397$	−6.46808	−	2.67916i	−0.324623	−	0.134463i	−0.539043	+	0.842278i	$0.681214\pi$
$398$	22.1138	+	11.1272i	1.10846	+	0.557755i
$399$			2.79956i			0.140153i
$400$	8.33232	+	15.5672i	0.416616	+	0.778359i
$401$			24.9871i			1.24780i	0.781505	+	0.623898i	$0.214452\pi$
$401$			24.9871i			1.24780i	−0.781505	+	0.623898i	$0.785548\pi$
$402$	0.688443	−	1.36819i	0.0343364	−	0.0682391i
$403$	−30.7623	−	12.7422i	−1.53238	−	0.634733i
$404$	10.0646	−	16.8026i	0.500731	−	0.835962i
$405$	2.52290	+	6.09083i	0.125364	+	0.302656i
$406$	−8.37519	+	7.22658i	−0.415654	+	0.358649i
$407$	−10.8546	−	10.8546i	−0.538041	−	0.538041i
$408$	−0.960099	−	1.51472i	−0.0475320	−	0.0749897i
$409$	9.19951	−	9.19951i	0.454887	−	0.454887i	−0.442086	−	0.896973i	$-0.645761\pi$
$409$	9.19951	−	9.19951i	0.454887	−	0.454887i	0.896973	+	0.442086i	$0.145761\pi$
$410$	−0.173378	+	2.35503i	−0.00856251	+	0.116307i
$411$	−0.929115	+	0.384852i	−0.0458298	+	0.0189833i
$412$	−0.186681	+	1.26099i	−0.00919711	+	0.0621247i
$413$	13.4649	−	32.5071i	0.662563	−	1.59957i
$414$	1.52352	−	0.503546i	0.0748770	−	0.0247479i
$415$	−7.49430			−0.367881
$416$	25.7428	+	9.90890i	1.26215	+	0.485824i
$417$	−3.99260			−0.195519
$418$	−21.9962	+	7.27005i	−1.07587	+	0.355590i
$419$	10.4739	−	25.2863i	0.511685	−	1.23532i	−0.431217	−	0.902248i	$-0.641916\pi$
$419$	10.4739	−	25.2863i	0.511685	−	1.23532i	0.942902	−	0.333070i	$-0.108084\pi$
$420$	−1.01008	−	0.149535i	−0.0492868	−	0.00729655i
$421$	−16.6841	+	6.91080i	−0.813135	+	0.336812i	−0.750204	−	0.661206i	$-0.770045\pi$
$421$	−16.6841	+	6.91080i	−0.813135	+	0.336812i	−0.0629310	+	0.998018i	$0.520045\pi$
$422$	0.398813	−	5.41717i	0.0194139	−	0.263703i
$423$	15.4117	−	15.4117i	0.749341	−	0.749341i
$424$	−2.70988	+	12.0920i	−0.131603	+	0.587238i
$425$	9.53003	+	9.53003i	0.462274	+	0.462274i
$426$	−2.03480	+	1.75574i	−0.0985862	+	0.0850657i
$427$	4.36444	+	10.5367i	0.211210	+	0.509906i
$428$	−30.5961	−	18.3267i	−1.47892	−	0.885854i
$429$	3.65162	+	1.51255i	0.176302	+	0.0730267i
$430$	0.952171	−	1.89231i	0.0459178	−	0.0912555i
$431$			26.5985i			1.28121i	0.767872	+	0.640603i	$0.221316\pi$
$431$			26.5985i			1.28121i	−0.767872	+	0.640603i	$0.778684\pi$
$432$	−0.487834	−	4.92409i	−0.0234709	−	0.236910i
$433$			9.96788i			0.479026i	0.970893	+	0.239513i	$0.0769878\pi$
$433$			9.96788i			0.479026i	−0.970893	+	0.239513i	$0.923012\pi$
$434$	27.7091	+	13.9426i	1.33008	+	0.669267i
$435$	0.357582	+	0.148115i	0.0171447	+	0.00710158i
$436$	15.1322	−	3.79503i	0.724701	−	0.181749i
$437$	0.616281	+	1.48783i	0.0294807	+	0.0711727i
$438$	0.770865	+	0.893388i	0.0368334	+	0.0426877i
$439$	17.4631	+	17.4631i	0.833466	+	0.833466i	0.987989	−	0.154523i	$-0.0493840\pi$
$439$	17.4631	+	17.4631i	0.833466	+	0.833466i	−0.154523	+	0.987989i	$0.549384\pi$
$440$	−1.44814	−	8.32453i	−0.0690371	−	0.396857i
$441$	6.93712	−	6.93712i	0.330339	−	0.330339i
$442$	20.9981	+	1.54589i	0.998779	+	0.0735303i
$443$	34.7377	−	14.3888i	1.65044	−	0.683634i	0.653149	−	0.757229i	$-0.273447\pi$
$443$	34.7377	−	14.3888i	1.65044	−	0.683634i	0.997288	+	0.0735956i	$0.0234474\pi$
$444$	0.973422	+	1.31172i	0.0461966	+	0.0622515i
$445$	3.14108	−	7.58323i	0.148901	−	0.359480i
$446$	−12.2291	−	37.0001i	−0.579064	−	1.75201i
$447$	−0.505697			−0.0239186
$448$	−23.2394	−	10.9670i	−1.09796	−	0.518140i
$449$	−8.35000			−0.394061			−0.197030	−	0.980397i	$-0.563130\pi$
$449$	−8.35000			−0.394061			−0.197030	+	0.980397i	$0.563130\pi$
$450$	5.79267	+	17.5262i	0.273069	+	0.826194i
$451$	−3.25870	+	7.86720i	−0.153446	+	0.370452i
$452$	−10.4496	−	14.0811i	−0.491506	−	0.662321i
$453$	−1.14337	+	0.473601i	−0.0537203	+	0.0222517i
$454$	22.2125	+	1.63529i	1.04249	+	0.0767480i
$455$	8.47682	−	8.47682i	0.397400	−	0.397400i
$456$	2.42865	−	0.422488i	0.113732	−	0.0197848i
$457$	−18.0734	−	18.0734i	−0.845436	−	0.845436i	0.144123	−	0.989560i	$-0.453964\pi$
$457$	−18.0734	−	18.0734i	−0.845436	−	0.845436i	−0.989560	+	0.144123i	$0.953964\pi$
$458$	−18.2777	−	21.1828i	−0.854061	−	0.989807i
$459$	−1.44538	−	3.48946i	−0.0674646	−	0.162874i
$460$	−0.569728	+	0.142883i	−0.0265637	+	0.00666196i
$461$	26.4451	+	10.9539i	1.23167	+	0.510175i	0.901102	−	0.433607i	$-0.142759\pi$
$461$	26.4451	+	10.9539i	1.23167	+	0.510175i	0.330569	+	0.943782i	$0.392759\pi$
$462$	−3.28919	−	1.65505i	−0.153027	−	0.0769999i
$463$			4.94169i			0.229660i	0.993385	+	0.114830i	$0.0366323\pi$
$463$			4.94169i			0.229660i	−0.993385	+	0.114830i	$0.963368\pi$
$464$	7.53307	+	6.17500i	0.349714	+	0.286667i
$465$		−	1.08532i		−	0.0503306i
$466$	−6.03151	+	11.9868i	−0.279404	+	0.555280i
$467$	20.6806	+	8.56617i	0.956983	+	0.396395i	0.805851	−	0.592118i	$-0.201708\pi$
$467$	20.6806	+	8.56617i	0.956983	+	0.396395i	0.151132	+	0.988514i	$0.451708\pi$
$468$	24.7383	+	14.8179i	1.14353	+	0.684960i
$469$	−6.41071	−	15.4768i	−0.296019	−	0.714653i
$470$	−6.04057	+	5.21215i	−0.278631	+	0.240418i
$471$	−2.24246	−	2.24246i	−0.103327	−	0.103327i
$472$	−30.2323	−	6.77522i	−1.39155	−	0.311855i
$473$	5.40158	−	5.40158i	0.248365	−	0.248365i
$474$	0.210237	−	2.85570i	0.00965650	−	0.131167i
$475$	−17.1157	+	7.08955i	−0.785322	+	0.325291i
$476$	−19.4032	−	2.87250i	−0.889344	−	0.131661i
$477$	−4.95753	+	11.9685i	−0.226990	+	0.548002i
$478$	−35.1800	+	11.6275i	−1.60909	+	0.531829i
$479$	−5.50637			−0.251592			−0.125796	−	0.992056i	$-0.540149\pi$
$479$	−5.50637			−0.251592			−0.125796	+	0.992056i	$0.540149\pi$
$480$	0.0227101	+	0.898823i	0.00103657	+	0.0410255i
$481$	−19.1775			−0.874418
$482$	−18.3603	+	6.06833i	−0.836287	+	0.276405i
$483$	−0.0979527	+	0.236479i	−0.00445700	+	0.0107602i
$484$	1.24036	−	8.37840i	0.0563800	−	0.380836i
$485$	2.62636	−	1.08787i	0.119257	−	0.0493978i
$486$	0.571078	−	7.75709i	0.0259046	−	0.351869i
$487$	24.9561	−	24.9561i	1.13087	−	1.13087i	0.140837	−	0.990033i	$-0.455021\pi$
$487$	24.9561	−	24.9561i	1.13087	−	1.13087i	0.990033	−	0.140837i	$-0.0449794\pi$
$488$	8.48206	−	5.37632i	0.383965	−	0.243375i
$489$	1.04513	+	1.04513i	0.0472626	+	0.0472626i
$490$	−2.71899	+	2.34610i	−0.122831	+	0.105986i
$491$	4.79438	+	11.5746i	0.216367	+	0.522357i	0.994377	−	0.105895i	$-0.0337708\pi$
$491$	4.79438	+	11.5746i	0.216367	+	0.522357i	−0.778010	+	0.628252i	$0.783771\pi$
$492$	0.465613	−	0.777335i	0.0209915	−	0.0350450i
$493$	6.86900	+	2.84523i	0.309364	+	0.128143i
$494$	−13.0088	+	25.8533i	−0.585294	+	1.16319i
$495$		−	8.83327i		−	0.397026i
$496$	7.91375	−	26.1421i	0.355338	−	1.17382i
$497$			29.3949i			1.31854i
$498$	2.56884	+	1.29258i	0.115112	+	0.0579220i
$499$	8.71684	+	3.61063i	0.390219	+	0.161634i	0.569162	−	0.822225i	$-0.307268\pi$
$499$	8.71684	+	3.61063i	0.390219	+	0.161634i	−0.178943	+	0.983859i	$0.557268\pi$
$500$	−3.50551	−	13.9778i	−0.156771	−	0.625105i
$501$	−0.366786	−	0.885499i	−0.0163868	−	0.0395612i
$502$	13.2054	+	15.3042i	0.589384	+	0.683062i
$503$	5.07960	+	5.07960i	0.226488	+	0.226488i	0.811224	−	0.584736i	$-0.198802\pi$
$503$	5.07960	+	5.07960i	0.226488	+	0.226488i	−0.584736	+	0.811224i	$0.698802\pi$
$504$	−21.9704	−	15.4591i	−0.978639	−	0.688605i
$505$	−5.30002	+	5.30002i	−0.235848	+	0.235848i
$506$	−2.11239	−	0.155514i	−0.0939071	−	0.00691346i
$507$	2.06777	−	0.856498i	0.0918329	−	0.0380384i
$508$	18.4123	−	13.6637i	0.816915	−	0.606229i
$509$	−13.5628	+	32.7435i	−0.601161	+	1.45133i	0.271227	+	0.962515i	$0.412571\pi$
$509$	−13.5628	+	32.7435i	−0.601161	+	1.45133i	−0.872388	+	0.488815i	$0.837429\pi$
$510$	0.215371	+	0.651622i	0.00953677	+	0.0288543i
$511$	12.9060			0.570926
$512$	−6.00685	+	21.8155i	−0.265468	+	0.964120i
$513$	5.19173			0.229221
$514$	8.90522	+	26.9435i	0.392792	+	1.18843i
$515$	0.186681	−	0.450688i	0.00822614	−	0.0198597i
$516$	−0.652755	+	0.484406i	−0.0287359	+	0.0213248i
$517$	−26.5807	+	11.0101i	−1.16902	+	0.484223i
$518$	17.8174	+	1.31172i	0.782852	+	0.0576337i
$519$	1.09130	−	1.09130i	0.0479028	−	0.0479028i
$520$	−8.63301	−	6.07450i	−0.378583	−	0.266384i
$521$	−17.4496	−	17.4496i	−0.764479	−	0.764479i	0.212650	−	0.977129i	$-0.431791\pi$
$521$	−17.4496	−	17.4496i	−0.764479	−	0.764479i	−0.977129	+	0.212650i	$0.931791\pi$
$522$	6.65228	+	7.70960i	0.291162	+	0.337440i
$523$	16.6581	+	40.2163i	0.728410	+	1.75854i	0.647825	+	0.761789i	$0.275679\pi$
$523$	16.6581	+	40.2163i	0.728410	+	1.75854i	0.0805847	+	0.996748i	$0.474321\pi$
$524$	5.49483	+	21.9099i	0.240043	+	0.957139i
$525$	−2.72040	−	1.12682i	−0.118728	−	0.0491787i
$526$	−8.48581	−	4.26987i	−0.369999	−	0.186175i
$527$		−	20.8486i		−	0.908179i
$528$	−0.939396	+	3.10318i	−0.0408820	+	0.135049i
$529$		−	22.8528i		−	0.993598i
$530$	2.13153	−	4.23613i	0.0925877	−	0.184006i
$531$	−29.9237	−	12.3948i	−1.29858	−	0.537889i
$532$	13.8546	−	23.1300i	0.600672	−	1.00281i
$533$	4.07107	+	9.82843i	0.176338	+	0.425716i
$534$	−2.38459	+	2.05756i	−0.103191	+	0.0890394i
$535$	9.65087	+	9.65087i	0.417244	+	0.417244i
$536$	−12.4589	+	7.89702i	−0.538142	+	0.341099i
$537$	−0.285094	+	0.285094i	−0.0123027	+	0.0123027i
$538$	−2.51546	+	34.1681i	−0.108449	+	1.47309i
$539$	−11.9645	+	4.95587i	−0.515349	+	0.213464i
$540$	−0.277310	+	1.87318i	−0.0119335	+	0.0806086i
$541$	15.9692	−	38.5531i	0.686571	−	1.65753i	−0.0650071	−	0.997885i	$-0.520707\pi$
$541$	15.9692	−	38.5531i	0.686571	−	1.65753i	0.751578	−	0.659644i	$-0.229293\pi$
$542$	−0.930737	+	0.307622i	−0.0399786	+	0.0132135i
$543$	3.32180			0.142552
$544$	0.436252	+	17.2660i	0.0187041	+	0.740275i
$545$	−5.97018			−0.255734
$546$	−4.36766	+	1.44358i	−0.186919	+	0.0617793i
$547$	0.383100	−	0.924886i	0.0163802	−	0.0395453i	−0.915478	−	0.402368i	$-0.868187\pi$
$547$	0.383100	−	0.924886i	0.0163802	−	0.0395453i	0.931858	+	0.362823i	$0.118187\pi$
$548$	9.58094	+	1.41839i	0.409277	+	0.0605905i
$549$	9.69932	−	4.01759i	0.413957	−	0.171467i
$550$	1.78900	−	24.3004i	0.0762833	−	1.03617i
$551$	−7.22658	+	7.22658i	−0.307863	+	0.307863i
$552$	0.219931	+	0.0492876i	0.00936087	+	0.00209782i
$553$	−22.1454	−	22.1454i	−0.941717	−	0.941717i
$554$	31.3084	−	27.0147i	1.33017	−	1.14774i
$555$	−0.239213	−	0.577512i	−0.0101540	−	0.0245140i
$556$	32.9870	+	19.7588i	1.39896	+	0.837958i
$557$	8.29127	+	3.43436i	0.351312	+	0.145518i	0.551359	−	0.834268i	$-0.314109\pi$
$557$	8.29127	+	3.43436i	0.351312	+	0.145518i	−0.200047	+	0.979786i	$0.564109\pi$
$558$	12.8346	−	25.5071i	0.543331	−	1.07980i
$559$		−	9.54333i		−	0.403640i
$560$	7.60527	+	6.23418i	0.321381	+	0.263442i
$561$			2.47482i			0.104487i
$562$	12.4696	+	6.27441i	0.525997	+	0.264670i
$563$	−22.7143	−	9.40857i	−0.957293	−	0.396524i	−0.151326	−	0.988484i	$-0.548354\pi$
$563$	−22.7143	−	9.40857i	−0.957293	−	0.396524i	−0.805967	+	0.591960i	$0.798354\pi$
$564$	2.96951	−	0.744728i	0.125039	−	0.0313587i
$565$	2.56792	+	6.19951i	0.108033	+	0.260816i
$566$	−14.6079	−	16.9297i	−0.614015	−	0.711607i
$567$	−19.5646	−	19.5646i	−0.821637	−	0.821637i
$568$	25.5004	−	4.43605i	1.06997	−	0.186132i
$569$	−16.6413	+	16.6413i	−0.697639	+	0.697639i	−0.963901	−	0.266262i	$-0.914211\pi$
$569$	−16.6413	+	16.6413i	−0.697639	+	0.697639i	0.266262	+	0.963901i	$0.414211\pi$
$570$	−0.940816	−	0.0692630i	−0.0394064	−	0.00290111i
$571$	9.37532	−	3.88338i	0.392345	−	0.162515i	−0.177785	−	0.984069i	$-0.556893\pi$
$571$	9.37532	−	3.88338i	0.392345	−	0.162515i	0.570129	+	0.821555i	$0.306893\pi$
$572$	−22.6844	−	30.5681i	−0.948483	−	1.27811i
$573$	−0.492136	+	1.18812i	−0.0205593	+	0.0496345i
$574$	−3.11009	−	9.40986i	−0.129813	−	0.392760i
$575$	−1.69382			−0.0706371
$576$	−10.0954	+	21.3926i	−0.420642	+	0.891357i
$577$	−23.0348			−0.958951			−0.479476	−	0.877555i	$-0.659173\pi$
$577$	−23.0348			−0.958951			−0.479476	+	0.877555i	$0.659173\pi$
$578$	−3.40751	−	10.3097i	−0.141734	−	0.428828i
$579$	1.15856	−	2.79700i	0.0481480	−	0.116239i
$580$	−2.22135	−	2.99335i	−0.0922365	−	0.124292i
$581$	29.0584	−	12.0364i	1.20555	−	0.499354i
$582$	−1.08787	−	0.0800895i	−0.0450938	−	0.00331981i
$583$	12.0920	−	12.0920i	0.500798	−	0.500798i
$584$	−1.94767	−	11.1961i	−0.0805952	−	0.463297i
$585$	−7.80316	−	7.80316i	−0.322621	−	0.322621i
$586$	9.85571	+	11.4222i	0.407136	+	0.471847i
$587$	1.02732	+	2.48018i	0.0424022	+	0.102368i	0.943662	−	0.330912i	$-0.107356\pi$
$587$	1.02732	+	2.48018i	0.0424022	+	0.102368i	−0.901260	+	0.433280i	$0.857356\pi$
$588$	1.33664	−	0.335218i	0.0551220	−	0.0138242i
$589$	26.4766	+	10.9670i	1.09095	+	0.451885i
$590$	10.5912	+	5.32924i	0.436031	+	0.219401i
$591$		−	4.15894i		−	0.171076i
$592$	−1.55093	−	15.6548i	−0.0637430	−	0.643408i
$593$			13.9339i			0.572197i	0.958200	+	0.286098i	$0.0923584\pi$
$593$			13.9339i			0.572197i	−0.958200	+	0.286098i	$0.907642\pi$
$594$	−3.06926	+	6.09976i	−0.125933	+	0.250276i
$595$	6.93484	+	2.87250i	0.284301	+	0.117761i
$596$	4.17808	+	2.50262i	0.171141	+	0.102511i
$597$	1.39112	+	3.35846i	0.0569347	+	0.137452i
$598$	−2.00343	+	1.72867i	−0.0819262	+	0.0706906i
$599$	−7.02222	−	7.02222i	−0.286920	−	0.286920i	0.548941	−	0.835861i	$-0.315031\pi$
$599$	−7.02222	−	7.02222i	−0.286920	−	0.286920i	−0.835861	+	0.548941i	$0.815031\pi$
$600$	−0.566993	+	2.53003i	−0.0231474	+	0.103288i
$601$	24.0970	−	24.0970i	0.982938	−	0.982938i	−0.0169188	−	0.999857i	$-0.505386\pi$
$601$	24.0970	−	24.0970i	0.982938	−	0.982938i	0.999857	+	0.0169188i	$0.00538568\pi$
$602$	−0.652755	+	8.86652i	−0.0266043	+	0.361373i
$603$	−14.2469	+	5.90125i	−0.580177	+	0.240317i
$604$	11.7904	+	1.74548i	0.479743	+	0.0710224i
$605$	−1.24036	+	2.99450i	−0.0504278	+	0.121744i
$606$	2.73082	−	0.902576i	0.110932	−	0.0366646i
$607$	−27.8275			−1.12948			−0.564742	−	0.825268i	$-0.691024\pi$
$607$	−27.8275			−1.12948			−0.564742	+	0.825268i	$0.691024\pi$
$608$	−22.1564	−	8.52841i	−0.898560	−	0.345873i
$609$	−1.62437			−0.0658229
$610$	−3.64893	+	1.20602i	−0.147741	+	0.0488305i
$611$	−13.7548	+	33.2070i	−0.556460	+	1.34341i
$612$	−2.64422	+	17.8612i	−0.106886	+	0.721997i
$613$	−9.98279	+	4.13501i	−0.403201	+	0.167011i	−0.575062	−	0.818110i	$-0.695022\pi$
$613$	−9.98279	+	4.13501i	−0.403201	+	0.167011i	0.171861	+	0.985121i	$0.445022\pi$
$614$	0.782532	−	10.6293i	0.0315804	−	0.428964i
$615$	−0.245193	+	0.245193i	−0.00988714	+	0.00988714i
$616$	18.9848	+	29.9518i	0.764920	+	1.20679i
$617$	23.2080	+	23.2080i	0.934318	+	0.934318i	0.997972	−	0.0636543i	$-0.0202755\pi$
$617$	23.2080	+	23.2080i	0.934318	+	0.934318i	−0.0636543	+	0.997972i	$0.520275\pi$
$618$	−0.141721	+	0.122285i	−0.00570087	+	0.00491903i
$619$	−11.5644	−	27.9189i	−0.464811	−	1.12215i	−0.966399	−	0.257047i	$-0.917251\pi$
$619$	−11.5644	−	27.9189i	−0.464811	−	1.12215i	0.501588	−	0.865107i	$-0.332749\pi$
$620$	−5.37109	+	8.96695i	−0.215708	+	0.360122i
$621$	0.438546	+	0.181652i	0.0175982	+	0.00728943i
$622$	4.18038	−	8.30795i	0.167618	−	0.333118i
$623$			34.4481i			1.38013i
$624$	1.91145	+	3.57115i	0.0765194	+	0.142960i
$625$		−	16.5563i		−	0.662254i
$626$	0.581831	+	0.292764i	0.0232546	+	0.0117012i
$627$	−3.14288	−	1.30182i	−0.125515	−	0.0519899i
$628$	7.42967	+	29.6248i	0.296476	+	1.18216i
$629$	−4.59519	−	11.0938i	−0.183222	−	0.442338i
$630$	6.71604	+	7.78350i	0.267573	+	0.310102i
$631$	−1.34980	−	1.34980i	−0.0537346	−	0.0537346i	0.679729	−	0.733463i	$-0.262097\pi$
$631$	−1.34980	−	1.34980i	−0.0537346	−	0.0537346i	−0.733463	+	0.679729i	$0.762097\pi$
$632$	−15.8694	+	22.5534i	−0.631250	+	0.897127i
$633$	0.564006	−	0.564006i	0.0224172	−	0.0224172i
$634$	−29.2214	−	2.15129i	−1.16053	−	0.0854385i
$635$	−8.10641	+	3.35778i	−0.321693	+	0.133250i
$636$	−1.46126	+	1.08439i	−0.0579426	+	0.0429989i
$637$	−6.19133	+	14.9472i	−0.245309	+	0.592229i
$638$	−4.21827	−	12.7627i	−0.167003	−	0.505282i
$639$	27.0588			1.07043
$640$	4.26050	−	7.53849i	0.168411	−	0.297985i
$641$	41.5334			1.64047			0.820235	−	0.572027i	$-0.193843\pi$
$641$	41.5334			1.64047			0.820235	+	0.572027i	$0.193843\pi$
$642$	−1.64351	−	4.97259i	−0.0648642	−	0.196252i
$643$	−1.57282	+	3.79713i	−0.0620261	+	0.149744i	−0.951854	−	0.306553i	$-0.900824\pi$
$643$	−1.57282	+	3.79713i	−0.0620261	+	0.149744i	0.889828	+	0.456297i	$0.150824\pi$
$644$	1.97958	−	1.46904i	0.0780066	−	0.0578883i
$645$	0.287389	−	0.119040i	0.0113159	−	0.00468721i
$646$	−18.0727	−	1.33051i	−0.711060	−	0.0523484i
$647$	−5.84193	+	5.84193i	−0.229670	+	0.229670i	−0.812555	−	0.582885i	$-0.801924\pi$
$647$	−5.84193	+	5.84193i	−0.229670	+	0.229670i	0.582885	+	0.812555i	$0.301924\pi$
$648$	−14.0200	+	19.9251i	−0.550758	+	0.782732i
$649$	30.2323	+	30.2323i	1.18672	+	1.18672i
$650$	−19.8862	−	23.0470i	−0.780001	−	0.903976i
$651$	1.74311	+	4.20823i	0.0683177	+	0.164934i
$652$	−3.46271	−	13.8071i	−0.135610	−	0.540729i
$653$	−26.0231	−	10.7791i	−1.01836	−	0.421820i	−0.189864	−	0.981810i	$-0.560805\pi$
$653$	−26.0231	−	10.7791i	−1.01836	−	0.421820i	−0.828499	+	0.559991i	$0.810805\pi$
$654$	2.04641	+	1.02971i	0.0800209	+	0.0402648i
$655$		−	8.64422i		−	0.337758i
$656$	−7.69382	+	4.11811i	−0.300393	+	0.160785i
$657$		−	11.8803i		−	0.463495i
$658$	15.0507	−	29.9112i	0.586736	−	1.16606i
$659$	37.6498	+	15.5951i	1.46663	+	0.607497i	0.966087	−	0.258215i	$-0.0831344\pi$
$659$	37.6498	+	15.5951i	1.46663	+	0.607497i	0.500541	+	0.865713i	$0.333134\pi$
$660$	0.637571	−	1.06442i	0.0248174	−	0.0414323i
$661$	3.14241	+	7.58644i	0.122226	+	0.295078i	0.973136	−	0.230233i	$-0.0739488\pi$
$661$	3.14241	+	7.58644i	0.122226	+	0.295078i	−0.850910	+	0.525311i	$0.823949\pi$
$662$	−16.5581	+	14.2873i	−0.643549	+	0.555290i
$663$	2.18621	+	2.18621i	0.0849054	+	0.0849054i
$664$	−14.8270	−	23.3921i	−0.575399	−	0.907790i
$665$	−7.29585	+	7.29585i	−0.282921	+	0.282921i
$666$	1.20748	−	16.4015i	0.0467888	−	0.635543i
$667$	−0.863279	+	0.357582i	−0.0334263	+	0.0138456i
$668$	−1.35181	+	9.13118i	−0.0523029	+	0.353296i
$669$	2.18982	−	5.28670i	0.0846634	−	0.204395i
$670$	5.35973	−	1.77147i	0.207065	−	0.0684378i
$671$	−13.8584			−0.534997
$672$	−1.53163	−	3.44862i	−0.0590840	−	0.133034i
$673$	−5.24262			−0.202088			−0.101044	−	0.994882i	$-0.532218\pi$
$673$	−5.24262			−0.202088			−0.101044	+	0.994882i	$0.532218\pi$
$674$	5.97474	−	1.97474i	0.230138	−	0.0760640i
$675$	−2.08968	+	5.04493i	−0.0804318	+	0.194179i
$676$	−21.3226	−	3.15666i	−0.820102	−	0.121410i
$677$	14.5716	−	6.03574i	0.560031	−	0.231972i	−0.0846677	−	0.996409i	$-0.526983\pi$
$677$	14.5716	−	6.03574i	0.560031	−	0.231972i	0.644699	+	0.764437i	$0.276983\pi$
$678$	0.189051	−	2.56792i	0.00726046	−	0.0986205i
$679$	−8.43625	+	8.43625i	−0.323754	+	0.323754i
$680$	1.44538	−	6.44955i	0.0554278	−	0.247329i
$681$	2.31265	+	2.31265i	0.0886210	+	0.0886210i
$682$	−28.5376	+	24.6238i	−1.09276	+	0.942894i
$683$	−14.9028	−	35.9785i	−0.570240	−	1.37668i	−0.901351	−	0.433089i	$-0.857424\pi$
$683$	−14.9028	−	35.9785i	−0.570240	−	1.37668i	0.331112	−	0.943592i	$-0.392576\pi$
$684$	−21.2918	−	12.7535i	−0.814114	−	0.487643i
$685$	−3.42429	−	1.41839i	−0.130835	−	0.0541938i
$686$	−7.51833	+	14.9417i	−0.287051	+	0.570476i
$687$		−	4.10842i		−	0.156746i
$688$	7.79033	−	0.771795i	0.297004	−	0.0294244i
$689$		−	21.3637i		−	0.813892i
$690$	−0.0770474	−	0.0387685i	−0.00293314	−	0.00147589i
$691$	14.6714	+	6.07710i	0.558127	+	0.231184i	0.643872	−	0.765133i	$-0.277327\pi$
$691$	14.6714	+	6.07710i	0.558127	+	0.231184i	−0.0857448	+	0.996317i	$0.527327\pi$
$692$	−14.4170	+	3.61568i	−0.548053	+	0.137447i
$693$	14.1869	+	34.2502i	0.538915	+	1.30106i
$694$	−7.87485	−	9.12649i	−0.298925	−	0.346437i
$695$	−10.4050	−	10.4050i	−0.394685	−	0.394685i
$696$	0.245138	+	1.40916i	0.00929193	+	0.0534142i
$697$	−4.71006	+	4.71006i	−0.178406	+	0.178406i
$698$	47.6863	+	3.51067i	1.80495	+	0.132881i
$699$	−1.82046	+	0.754059i	−0.0688561	+	0.0285211i
$700$	16.8995	+	22.7727i	0.638741	+	0.860726i
$701$	9.58351	−	23.1366i	0.361964	−	0.873859i	−0.633049	−	0.774112i	$-0.718197\pi$
$701$	9.58351	−	23.1366i	0.361964	−	0.873859i	0.995013	−	0.0997466i	$-0.0318032\pi$
$702$	2.67709	+	8.09976i	0.101040	+	0.305706i
$703$	16.5057			0.622524
$704$	23.1185	−	20.9897i	0.871311	−	0.791078i
$705$	−1.17157			−0.0441240
$706$	−9.18737	−	27.7972i	−0.345771	−	1.04616i
$707$	12.0381	−	29.0625i	0.452739	−	1.09301i
$708$	−2.71119	−	3.65343i	−0.101893	−	0.137304i
$709$	27.4256	−	11.3601i	1.02999	−	0.426636i	0.197282	−	0.980347i	$-0.436789\pi$
$709$	27.4256	−	11.3601i	1.02999	−	0.426636i	0.832709	+	0.553711i	$0.186789\pi$
$710$	−9.87841	−	0.727250i	−0.370730	−	0.0272932i
$711$	−20.3855	+	20.3855i	−0.764515	+	0.764515i
$712$	29.8841	−	5.19864i	1.11996	−	0.194827i
$713$	1.85276	+	1.85276i	0.0693864	+	0.0693864i
$714$	−1.88163	−	2.18070i	−0.0704183	−	0.0816107i
$715$	5.57457	+	13.4582i	0.208477	+	0.503309i
$716$	3.76634	−	0.944569i	0.140755	−	0.0353002i
$717$	−5.02663	−	2.08210i	−0.187723	−	0.0777573i
$718$	35.6393	+	17.9329i	1.33005	+	0.669249i
$719$		−	38.9976i		−	1.45436i	−0.686445	−	0.727182i	$-0.740830\pi$
$719$		−	38.9976i		−	1.45436i	0.686445	−	0.727182i	$-0.259170\pi$
$720$	5.73875	−	7.00087i	0.213871	−	0.260907i
$721$			2.04732i			0.0762462i
$722$	−0.881204	+	1.75128i	−0.0327950	+	0.0651758i
$723$	−2.62337	−	1.08664i	−0.0975643	−	0.0404124i
$724$	−27.4448	−	16.4391i	−1.01998	−	0.610953i
$725$	−4.11354	−	9.93095i	−0.152773	−	0.368826i
$726$	0.941637	−	0.812498i	0.0349474	−	0.0301546i
$727$	34.9474	+	34.9474i	1.29613	+	1.29613i	0.930930	+	0.365198i	$0.118999\pi$
$727$	34.9474	+	34.9474i	1.29613	+	1.29613i	0.365198	+	0.930930i	$0.381001\pi$
$728$	43.2298	+	9.68802i	1.60220	+	0.359062i
$729$	−17.4649	+	17.4649i	−0.646846	+	0.646846i
$730$	−0.319303	+	4.33717i	−0.0118179	+	0.160526i
$731$	5.52062	−	2.28672i	0.204188	−	0.0845773i
$732$	1.45876	+	0.215959i	0.0539173	+	0.00798206i
$733$	−13.8093	+	33.3387i	−0.510060	+	1.23139i	0.433789	+	0.901015i	$0.357176\pi$
$733$	−13.8093	+	33.3387i	−0.510060	+	1.23139i	−0.943849	+	0.330378i	$0.892824\pi$
$734$	12.2766	−	4.05758i	0.453136	−	0.149768i
$735$	−0.527350			−0.0194516
$736$	−1.57316	−	1.49562i	−0.0579873	−	0.0551292i
$737$	20.3559			0.749819
$738$	−8.66205	+	2.86293i	−0.318854	+	0.105386i
$739$	6.75096	−	16.2983i	0.248338	−	0.599542i	−0.749725	−	0.661750i	$-0.769814\pi$
$739$	6.75096	−	16.2983i	0.248338	−	0.599542i	0.998063	+	0.0622080i	$0.0198142\pi$
$740$	−0.881632	+	5.95525i	−0.0324094	+	0.218919i
$741$	−3.92638	+	1.62636i	−0.144239	+	0.0597458i
$742$	−1.46126	+	19.8486i	−0.0536444	+	0.728664i
$743$	−20.6145	+	20.6145i	−0.756272	+	0.756272i	−0.975642	−	0.219370i	$-0.929600\pi$
$743$	−20.6145	+	20.6145i	−0.756272	+	0.756272i	0.219370	+	0.975642i	$0.429600\pi$
$744$	3.38764	−	2.14724i	0.124197	−	0.0787217i
$745$	−1.31788	−	1.31788i	−0.0482835	−	0.0482835i
$746$	−10.4076	+	8.98024i	−0.381048	+	0.328790i
$747$	−11.0799	−	26.7491i	−0.405391	−	0.978700i
$748$	12.2475	−	20.4470i	0.447812	−	0.747616i
$749$	−52.9203	−	21.9203i	−1.93367	−	0.800951i
$750$	0.951153	−	1.89029i	0.0347312	−	0.0690237i
$751$			27.0344i			0.986499i	0.869888	+	0.493249i	$0.164191\pi$
$751$			27.0344i			0.986499i	−0.869888	+	0.493249i	$0.835809\pi$
$752$	−28.2197	−	8.54266i	−1.02907	−	0.311519i
$753$			2.96827i			0.108170i
$754$	−15.0007	−	7.54804i	−0.546294	−	0.274883i
$755$	−4.21395	−	1.74548i	−0.153361	−	0.0635244i
$756$	−1.93321	−	7.70844i	−0.0703103	−	0.280353i
$757$	−19.5424	−	47.1795i	−0.710280	−	1.71477i	−0.699300	−	0.714828i	$-0.746505\pi$
$757$	−19.5424	−	47.1795i	−0.710280	−	1.71477i	−0.0109802	−	0.999940i	$-0.503495\pi$
$758$	7.80216	+	9.04225i	0.283387	+	0.328429i
$759$	−0.219931	−	0.219931i	−0.00798297	−	0.00798297i
$760$	7.43027	+	5.22820i	0.269524	+	0.189647i
$761$	−2.53714	+	2.53714i	−0.0919713	+	0.0919713i	−0.751596	−	0.659624i	$-0.770715\pi$
$761$	−2.53714	+	2.53714i	−0.0919713	+	0.0919713i	0.659624	+	0.751596i	$0.270715\pi$
$762$	3.35778	+	0.247201i	0.121640	+	0.00895514i
$763$	23.1488	−	9.58854i	0.838042	−	0.347129i
$764$	9.94587	−	7.38078i	0.359829	−	0.267027i
$765$	2.64422	−	6.38372i	0.0956021	−	0.230804i
$766$	12.6322	+	38.2197i	0.456418	+	1.38093i
$767$	53.4134			1.92865
$768$	−2.76058	+	1.84915i	−0.0996140	+	0.0667255i
$769$	−24.0627			−0.867725			−0.433862	−	0.900979i	$-0.642850\pi$
$769$	−24.0627			−0.867725			−0.433862	+	0.900979i	$0.642850\pi$
$770$	−4.25870	−	12.8851i	−0.153473	−	0.464345i
$771$	−1.59463	+	3.84977i	−0.0574291	+	0.138646i
$772$	−23.4140	+	17.3754i	−0.842687	+	0.625354i
$773$	−43.4146	+	17.9829i	−1.56152	+	0.646801i	−0.985352	−	0.170534i	$-0.945451\pi$
$773$	−43.4146	+	17.9829i	−1.56152	+	0.646801i	−0.576163	+	0.817335i	$0.695451\pi$
$774$	8.16189	+	0.600880i	0.293373	+	0.0215982i
$775$	−21.3137	+	21.3137i	−0.765611	+	0.765611i
$776$	8.59169	+	6.04542i	0.308424	+	0.217018i
$777$	1.85505	+	1.85505i	0.0665497	+	0.0665497i
$778$	21.0834	+	24.4345i	0.755877	+	0.876018i
$779$	−3.50389	−	8.45914i	−0.125540	−	0.303080i
$780$	−0.377067	−	1.50351i	−0.0135012	−	0.0538342i
$781$	−32.9997	−	13.6689i	−1.18082	−	0.489113i
$782$	−1.48005	−	0.744728i	−0.0529265	−	0.0266314i
$783$			3.01237i			0.107653i
$784$	−12.7023	−	3.84523i	−0.453653	−	0.137330i
$785$		−	11.6880i		−	0.417163i
$786$	−1.49091	+	2.96300i	−0.0531792	+	0.105687i
$787$	−4.62213	−	1.91455i	−0.164761	−	0.0682463i	0.298778	−	0.954323i	$-0.403421\pi$
$787$	−4.62213	−	1.91455i	−0.164761	−	0.0682463i	−0.463540	+	0.886076i	$0.653421\pi$
$788$	−20.5820	+	34.3613i	−0.733202	+	1.22407i
$789$	−0.533819	−	1.28875i	−0.0190045	−	0.0458808i
$790$	7.99005	−	6.89426i	0.284273	−	0.245287i
$791$	−19.9137	−	19.9137i	−0.708051	−	0.708051i
$792$	27.5715	−	17.4761i	0.979710	−	0.620985i
$793$	−12.2423	+	12.2423i	−0.434735	+	0.434735i
$794$	−0.726939	+	9.87418i	−0.0257981	+	0.350422i
$795$	0.643348	−	0.266484i	0.0228172	−	0.00945120i
$796$	5.12703	−	34.6321i	0.181723	−	1.22750i
$797$	−7.78397	+	18.7922i	−0.275722	+	0.665653i	−0.999708	−	0.0241622i	$-0.992308\pi$
$797$	−7.78397	+	18.7922i	−0.275722	+	0.665653i	0.723986	+	0.689815i	$0.242308\pi$
$798$	3.75916	−	1.24246i	0.133073	−	0.0439825i
$799$	−22.5054			−0.796185
$800$	17.2052	−	18.0972i	0.608297	−	0.639833i
$801$	31.7104			1.12043
$802$	33.5520	−	11.0894i	1.18476	−	0.391581i
$803$	−6.00142	+	14.4887i	−0.211785	+	0.511295i
$804$	−2.14270	−	0.317211i	−0.0755672	−	0.0111872i
$805$	−0.871553	+	0.361009i	−0.0307182	+	0.0127239i
$806$	−3.45734	+	46.9618i	−0.121780	+	1.65416i
$807$	−3.55740	+	3.55740i	−0.125227	+	0.125227i
$808$	−27.0288	−	6.05730i	−0.950870	−	0.213095i
$809$	−5.79631	−	5.79631i	−0.203787	−	0.203787i	0.597833	−	0.801621i	$-0.296029\pi$
$809$	−5.79631	−	5.79631i	−0.203787	−	0.203787i	−0.801621	+	0.597833i	$0.796029\pi$
$810$	7.05891	−	6.09083i	0.248025	−	0.214010i
$811$	−2.59457	−	6.26386i	−0.0911078	−	0.219954i	0.871757	−	0.489939i	$-0.162981\pi$
$811$	−2.59457	−	6.26386i	−0.0911078	−	0.219954i	−0.962864	+	0.269986i	$0.912981\pi$
$812$	13.4206	+	8.03877i	0.470971	+	0.282105i
$813$	−0.132987	−	0.0550849i	−0.00466405	−	0.00193191i
$814$	−9.75789	+	19.3925i	−0.342014	+	0.679708i
$815$			5.44739i			0.190814i
$816$	−1.60782	+	1.96143i	−0.0562851	+	0.0686639i
$817$			8.21377i			0.287363i
$818$	−16.4356	−	8.27005i	−0.574659	−	0.289156i
$819$	42.7885	+	17.7236i	1.49515	+	0.619311i
$820$	3.23921	−	0.812369i	0.113118	−	0.0283691i
$821$	14.5014	+	35.0095i	0.506103	+	1.22184i	0.946110	+	0.323847i	$0.104976\pi$
$821$	14.5014	+	35.0095i	0.506103	+	1.22184i	−0.440006	+	0.897995i	$0.645024\pi$
$822$	0.929115	+	1.07679i	0.0324066	+	0.0375573i
$823$	−6.84972	−	6.84972i	−0.238766	−	0.238766i	0.577573	−	0.816339i	$-0.304000\pi$
$823$	−6.84972	−	6.84972i	−0.238766	−	0.238766i	−0.816339	+	0.577573i	$0.804000\pi$
$824$	1.77608	−	0.308966i	0.0618726	−	0.0107633i
$825$	2.53003	−	2.53003i	0.0880843	−	0.0880843i
$826$	−49.6254	−	3.65343i	−1.72669	−	0.127119i
$827$	27.6932	−	11.4709i	0.962987	−	0.398882i	0.154890	−	0.987932i	$-0.450498\pi$
$827$	27.6932	−	11.4709i	0.962987	−	0.398882i	0.808097	+	0.589049i	$0.200498\pi$
$828$	−1.35229	−	1.82227i	−0.0469955	−	0.0633281i
$829$	1.60232	−	3.86834i	0.0556509	−	0.134353i	−0.893609	−	0.448847i	$-0.851835\pi$
$829$	1.60232	−	3.86834i	0.0556509	−	0.134353i	0.949259	+	0.314494i	$0.101835\pi$
$830$	3.32601	+	10.0631i	0.115448	+	0.349297i
$831$	6.07228			0.210645
$832$	1.88057	−	38.9644i	0.0651972	−	1.35085i
$833$	−10.1302			−0.350990
$834$	1.77194	+	5.36115i	0.0613572	+	0.185642i
$835$	1.35181	−	3.26355i	0.0467811	−	0.112940i
$836$	19.5240	+	26.3094i	0.675253	+	0.909928i
$837$	7.80409	−	3.23256i	0.269749	−	0.111734i
$838$	−38.6022	−	2.84190i	−1.33349	−	0.0981717i
$839$	11.4718	−	11.4718i	0.396050	−	0.396050i	−0.480787	−	0.876837i	$-0.659649\pi$
$839$	11.4718	−	11.4718i	0.396050	−	0.396050i	0.876837	+	0.480787i	$0.159649\pi$
$840$	0.247488	+	1.42267i	0.00853913	+	0.0490868i
$841$	16.3131	+	16.3131i	0.562519	+	0.562519i
$842$	16.6841	+	19.3359i	0.574973	+	0.666361i
$843$	0.784427	+	1.89377i	0.0270171	+	0.0652250i
$844$	−7.45101	+	1.86865i	−0.256474	+	0.0643217i
$845$	7.62086	+	3.15666i	0.262165	+	0.108592i
$846$	−27.5341	−	13.8546i	−0.946643	−	0.476330i
$847$		−	13.6030i		−	0.467404i
$848$	17.4394	−	1.72774i	0.598872	−	0.0593308i
$849$		−	3.28352i		−	0.112690i
$850$	8.56718	−	17.0261i	0.293852	−	0.583992i
$851$	1.39424	+	0.577512i	0.0477939	+	0.0197969i
$852$	3.26061	+	1.95306i	0.111707	+	0.0669108i
$853$	−4.85275	−	11.7156i	−0.166155	−	0.401133i	0.818769	−	0.574124i	$-0.194657\pi$
$853$	−4.85275	−	11.7156i	−0.166155	−	0.401133i	−0.984924	+	0.172990i	$0.944657\pi$
$854$	12.2114	−	10.5367i	0.417865	−	0.360558i
$855$	6.71604	+	6.71604i	0.229684	+	0.229684i
$856$	−11.0298	+	49.2171i	−0.376992	+	1.68221i
$857$	−13.5307	+	13.5307i	−0.462200	+	0.462200i	−0.899376	−	0.437176i	$-0.855979\pi$
$857$	−13.5307	+	13.5307i	−0.462200	+	0.462200i	0.437176	+	0.899376i	$0.355979\pi$
$858$	0.410401	−	5.57457i	0.0140109	−	0.190313i
$859$	−50.3433	+	20.8529i	−1.71769	+	0.711491i	−0.717808	+	0.696241i	$0.754855\pi$
$859$	−50.3433	+	20.8529i	−1.71769	+	0.711491i	−0.999884	+	0.0152507i	$0.995145\pi$
$860$	−2.96353	−	0.438728i	−0.101055	−	0.0149605i
$861$	0.556914	−	1.34451i	0.0189796	−	0.0458208i
$862$	35.7158	−	11.8046i	1.21648	−	0.402066i
$863$	−9.50637			−0.323601			−0.161800	−	0.986824i	$-0.551730\pi$
$863$	−9.50637			−0.323601			−0.161800	+	0.986824i	$0.551730\pi$
$864$	−6.39542	+	2.84039i	−0.217577	+	0.0966319i
$865$	5.68802			0.193399
$866$	13.3846	−	4.42380i	0.454827	−	0.150327i
$867$	0.610172	−	1.47309i	0.0207225	−	0.0500286i
$868$	6.42429	−	43.3949i	0.218055	−	1.47292i
$869$	35.1591	−	14.5634i	1.19269	−	0.494028i
$870$	0.0401882	−	0.545885i	0.00136251	−	0.0185072i
$871$	17.9821	−	17.9821i	0.609299	−	0.609299i
$872$	−11.8116	−	18.6348i	−0.399992	−	0.631055i
$873$	7.76582	+	7.76582i	0.262833	+	0.262833i
$874$	1.72431	−	1.48783i	0.0583257	−	0.0503267i
$875$	−8.85704	−	21.3828i	−0.299423	−	0.722870i
$876$	0.857502	−	1.43159i	0.0289723	−	0.0483688i
$877$	16.7883	+	6.95392i	0.566899	+	0.234817i	0.647677	−	0.761915i	$-0.275741\pi$
$877$	16.7883	+	6.95392i	0.566899	+	0.234817i	−0.0807782	+	0.996732i	$0.525741\pi$
$878$	15.6987	−	31.1991i	0.529806	−	1.05292i
$879$			2.21534i			0.0747216i
$880$	−10.5353	+	5.63899i	−0.355144	+	0.190090i
$881$		−	46.9687i		−	1.58242i	−0.611547	−	0.791208i	$-0.709453\pi$
$881$		−	46.9687i		−	1.58242i	0.611547	−	0.791208i	$-0.290547\pi$
$882$	−12.3937	−	6.23623i	−0.417317	−	0.209985i
$883$	11.0237	+	4.56617i	0.370978	+	0.153664i	0.560380	−	0.828236i	$-0.310655\pi$
$883$	11.0237	+	4.56617i	0.370978	+	0.153664i	−0.189403	+	0.981900i	$0.560655\pi$
$884$	−7.24331	−	28.8818i	−0.243619	−	0.971399i
$885$	0.666261	+	1.60850i	0.0223961	+	0.0540690i
$886$	−34.7377	−	40.2590i	−1.16704	−	1.35253i
$887$	31.9419	+	31.9419i	1.07250	+	1.07250i	0.997157	+	0.0753464i	$0.0240063\pi$
$887$	31.9419	+	31.9419i	1.07250	+	1.07250i	0.0753464	+	0.997157i	$0.475994\pi$
$888$	1.32933	−	1.88923i	0.0446095	−	0.0633985i
$889$	26.0390	−	26.0390i	0.873319	−	0.873319i
$890$	−11.5766	−	0.852270i	−0.388048	−	0.0285682i
$891$	31.0617	−	12.8662i	1.04061	−	0.431034i
$892$	−44.2554	+	32.8417i	−1.48178	+	1.09962i
$893$	11.8385	−	28.5807i	0.396160	−	0.956416i
$894$	0.224431	+	0.679036i	0.00750610	+	0.0227104i
$895$	−1.48595			−0.0496699
$896$	−4.41233	+	36.0724i	−0.147406	+	1.20510i
$897$	−0.388566			−0.0129738
$898$	3.70578	+	11.2121i	0.123663	+	0.374154i
$899$	−6.36330	+	15.3624i	−0.212228	+	0.512364i
$900$	20.9629	−	15.5565i	0.698764	−	0.518549i
$901$	12.3585	−	5.11904i	0.411720	−	0.170540i
$902$	12.0101	+	0.884184i	0.399892	+	0.0294401i
$903$	−0.923135	+	0.923135i	−0.0307200	+	0.0307200i
$904$	−14.2702	+	20.2807i	−0.474620	+	0.674525i
$905$	8.65685	+	8.65685i	0.287764	+	0.287764i
$906$	1.14337	+	1.32510i	0.0379860	+	0.0440236i
$907$	4.99616	+	12.0618i	0.165895	+	0.400505i	0.984863	−	0.173333i	$-0.0554538\pi$
$907$	4.99616	+	12.0618i	0.165895	+	0.400505i	−0.818969	+	0.573838i	$0.805454\pi$
$908$	−7.66223	−	30.5521i	−0.254280	−	1.01391i
$909$	−26.7529	−	11.0814i	−0.887338	−	0.367547i
$910$	−15.1445	−	7.62038i	−0.502035	−	0.252613i
$911$		−	13.1188i		−	0.434645i	−0.976100	−	0.217322i	$-0.930268\pi$
$911$		−	13.1188i		−	0.434645i	0.976100	−	0.217322i	$-0.0697323\pi$
$912$	−1.64515	−	3.07362i	−0.0544765	−	0.101778i
$913$			38.2191i			1.26487i
$914$	−16.2473	+	32.2895i	−0.537414	+	1.06804i
$915$	−0.521370	−	0.215959i	−0.0172360	−	0.00713937i
$916$	−20.3319	+	33.9438i	−0.671785	+	1.12154i
$917$	13.8833	+	33.5171i	0.458465	+	1.10683i
$918$	−4.04408	+	3.48946i	−0.133474	+	0.115169i
$919$	−17.2415	−	17.2415i	−0.568746	−	0.568746i	0.363031	−	0.931777i	$-0.381742\pi$
$919$	−17.2415	−	17.2415i	−0.568746	−	0.568746i	−0.931777	+	0.363031i	$0.881742\pi$
$920$	0.444708	+	0.701602i	0.0146616	+	0.0231311i
$921$	1.10667	−	1.10667i	0.0364659	−	0.0364659i
$922$	2.97213	−	40.3712i	0.0978819	−	1.32955i
$923$	−41.2263	+	17.0765i	−1.35698	+	0.562080i
$924$	−0.762591	+	5.15116i	−0.0250874	+	0.169461i
$925$	−6.64357	+	16.0390i	−0.218439	+	0.527359i
$926$	6.63556	−	2.19315i	0.218058	−	0.0720714i
$927$	1.88462			0.0618990
$928$	4.94840	−	12.8557i	0.162439	−	0.422009i
$929$	−45.9966			−1.50910			−0.754550	−	0.656242i	$-0.772145\pi$
$929$	−45.9966			−1.50910			−0.754550	+	0.656242i	$0.772145\pi$
$930$	−1.45734	+	0.481672i	−0.0477880	+	0.0157946i
$931$	5.32876	−	12.8648i	0.174643	−	0.421626i
$932$	18.7724	+	2.77912i	0.614911	+	0.0910331i
$933$	1.26174	−	0.522630i	0.0413076	−	0.0171101i
$934$	2.32426	−	31.5710i	0.0760522	−	1.03303i
$935$	−6.44955	+	6.44955i	−0.210923	+	0.210923i
$936$	8.91811	−	39.7942i	0.291497	−	1.30072i
$937$	−3.67273	−	3.67273i	−0.119983	−	0.119983i	0.644566	−	0.764549i	$-0.277038\pi$
$937$	−3.67273	−	3.67273i	−0.119983	−	0.119983i	−0.764549	+	0.644566i	$0.777038\pi$
$938$	−17.9367	+	15.4768i	−0.585655	+	0.505336i
$939$	0.0366014	+	0.0883635i	0.00119444	+	0.00288363i
$940$	9.67956	+	5.79793i	0.315713	+	0.189108i
$941$	41.7873	+	17.3089i	1.36223	+	0.564253i	0.939670	−	0.342083i	$-0.111132\pi$
$941$	41.7873	+	17.3089i	1.36223	+	0.564253i	0.422558	+	0.906336i	$0.361132\pi$
$942$	−2.01589	+	4.00633i	−0.0656814	+	0.130533i
$943$		−	0.837141i		−	0.0272611i
$944$	4.31969	+	43.6020i	0.140594	+	1.41912i
$945$			3.04125i			0.0989317i
$946$	−9.65035	−	4.85584i	−0.313760	−	0.157877i
$947$	−43.6427	−	18.0774i	−1.41820	−	0.587436i	−0.463790	−	0.885945i	$-0.653511\pi$
$947$	−43.6427	−	18.0774i	−1.41820	−	0.587436i	−0.954407	+	0.298509i	$0.903511\pi$
$948$	−3.92785	+	0.985074i	−0.127571	+	0.0319937i
$949$	7.49753	+	18.1006i	0.243380	+	0.587571i
$950$	17.1157	+	19.8361i	0.555306	+	0.643568i
$951$	−3.04238	−	3.04238i	−0.0986559	−	0.0986559i
$952$	4.75413	+	27.3289i	0.154082	+	0.885735i
$953$	6.12750	−	6.12750i	0.198489	−	0.198489i	−0.600863	−	0.799352i	$-0.705176\pi$
$953$	6.12750	−	6.12750i	0.198489	−	0.198489i	0.799352	+	0.600863i	$0.205176\pi$
$954$	18.2712	+	1.34513i	0.591552	+	0.0435502i
$955$	−4.37887	+	1.81379i	−0.141697	+	0.0586928i
$956$	31.2261	+	42.0783i	1.00993	+	1.36091i
$957$	0.755352	−	1.82358i	0.0244171	−	0.0589480i
$958$	2.44376	+	7.39380i	0.0789542	+	0.238883i
$959$	15.5554			0.502310
$960$	1.19684	−	0.429397i	0.0386277	−	0.0138587i
$961$	15.6274			0.504110
$962$	8.51107	+	25.7510i	0.274408	+	0.830245i
$963$	−20.1783	+	48.7147i	−0.650237	+	1.56981i
$964$	16.2968	+	21.9605i	0.524884	+	0.707300i
$965$	10.3085	−	4.26991i	0.331842	−	0.137453i
$966$	0.361009	+	0.0265775i	0.0116153	+	0.000855118i
$967$	1.03516	−	1.03516i	0.0332885	−	0.0332885i	−0.690267	−	0.723555i	$-0.742507\pi$
$967$	1.03516	−	1.03516i	0.0332885	−	0.0332885i	0.723555	+	0.690267i	$0.242507\pi$
$968$	−11.8008	+	2.05286i	−0.379291	+	0.0659814i
$969$	−1.88163	−	1.88163i	−0.0604467	−	0.0604467i
$970$	−2.62636	−	3.04380i	−0.0843273	−	0.0977305i
$971$	15.4218	+	37.2315i	0.494909	+	1.19482i	0.952194	+	0.305495i	$0.0988221\pi$
$971$	15.4218	+	37.2315i	0.494909	+	1.19482i	−0.457285	+	0.889320i	$0.651178\pi$
$972$	−10.6694	+	2.67581i	−0.342223	+	0.0858267i
$973$	57.0556	+	23.6332i	1.82912	+	0.757646i
$974$	−44.5861	−	22.4347i	−1.42863	−	0.718855i
$975$		−	4.46997i		−	0.143154i
$976$	−10.9836	−	9.00343i	−0.351575	−	0.288193i
$977$		−	28.8457i		−	0.922857i	−0.887177	−	0.461429i	$-0.847337\pi$
$977$		−	28.8457i		−	0.922857i	0.887177	−	0.461429i	$-0.152663\pi$
$978$	0.939540	−	1.86721i	0.0300432	−	0.0597068i
$979$	−38.6727	−	16.0187i	−1.23598	−	0.511961i
$980$	4.35698	+	2.60977i	0.139179	+	0.0833661i
$981$	−8.82653	−	21.3091i	−0.281809	−	0.680348i
$982$	13.4143	−	11.5746i	0.428069	−	0.369362i
$983$	−40.9561	−	40.9561i	−1.30630	−	1.30630i	−0.924067	−	0.382231i	$-0.875156\pi$
$983$	−40.9561	−	40.9561i	−1.30630	−	1.30630i	−0.382231	−	0.924067i	$-0.624844\pi$
$984$	−1.25043	−	0.280227i	−0.0398621	−	0.00893331i
$985$	10.8385	−	10.8385i	0.345344	−	0.345344i
$986$	0.771998	−	10.4862i	0.0245854	−	0.333950i
$987$	4.54266	−	1.88163i	0.144594	−	0.0598930i
$988$	40.4885	+	5.99402i	1.28811	+	0.190695i
$989$	−0.287389	+	0.693818i	−0.00913843	+	0.0220621i
$990$	−11.8611	+	3.92026i	−0.376970	+	0.124594i
$991$	−41.9605			−1.33292			−0.666460	−	0.745541i	$-0.732191\pi$
$991$	−41.9605			−1.33292			−0.666460	+	0.745541i	$0.732191\pi$
$992$	−38.6151	+	0.975667i	−1.22603	+	0.0309775i
$993$	−3.21145			−0.101912
$994$	39.4706	−	13.0456i	1.25193	−	0.413781i
$995$	−5.12703	+	12.3777i	−0.162538	+	0.392401i
$996$	0.595578	−	4.02302i	0.0188716	−	0.127474i
$997$	−31.4380	+	13.0221i	−0.995652	+	0.412413i	−0.820201	−	0.572076i	$-0.806138\pi$
$997$	−31.4380	+	13.0221i	−0.995652	+	0.412413i	−0.175451	+	0.984488i	$0.556138\pi$
$998$	0.979674	−	13.3071i	0.0310111	−	0.421230i
$999$	3.44017	−	3.44017i	0.108842	−	0.108842i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	32.2.g.b.13.2	yes	8
3.2	odd	2		288.2.v.b.109.1		8
4.3	odd	2		128.2.g.b.17.1		8
5.2	odd	4		800.2.ba.d.749.2		8
5.3	odd	4		800.2.ba.c.749.1		8
5.4	even	2		800.2.y.b.301.1		8
8.3	odd	2		256.2.g.c.33.2		8
8.5	even	2		256.2.g.d.33.1		8
12.11	even	2		1152.2.v.b.145.2		8
16.3	odd	4		512.2.g.g.321.1		8
16.5	even	4		512.2.g.h.321.1		8
16.11	odd	4		512.2.g.f.321.2		8
16.13	even	4		512.2.g.e.321.2		8
32.3	odd	8		512.2.g.g.193.1		8
32.5	even	8	inner	32.2.g.b.5.2	✓	8
32.11	odd	8		256.2.g.c.225.2		8
32.13	even	8		512.2.g.h.193.1		8
32.19	odd	8		512.2.g.f.193.2		8
32.21	even	8		256.2.g.d.225.1		8
32.27	odd	8		128.2.g.b.113.1		8
32.29	even	8		512.2.g.e.193.2		8
64.5	even	16		4096.2.a.k.1.5		8
64.27	odd	16		4096.2.a.q.1.5		8
64.37	even	16		4096.2.a.k.1.4		8
64.59	odd	16		4096.2.a.q.1.4		8
96.5	odd	8		288.2.v.b.37.1		8
96.59	even	8		1152.2.v.b.1009.2		8
160.37	odd	8		800.2.ba.c.549.1		8
160.69	even	8		800.2.y.b.101.1		8
160.133	odd	8		800.2.ba.d.549.2		8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
32.2.g.b.5.2	✓	8	32.5	even	8	inner
32.2.g.b.13.2	yes	8	1.1	even	1	trivial
128.2.g.b.17.1		8	4.3	odd	2
128.2.g.b.113.1		8	32.27	odd	8
256.2.g.c.33.2		8	8.3	odd	2
256.2.g.c.225.2		8	32.11	odd	8
256.2.g.d.33.1		8	8.5	even	2
256.2.g.d.225.1		8	32.21	even	8
288.2.v.b.37.1		8	96.5	odd	8
288.2.v.b.109.1		8	3.2	odd	2
512.2.g.e.193.2		8	32.29	even	8
512.2.g.e.321.2		8	16.13	even	4
512.2.g.f.193.2		8	32.19	odd	8
512.2.g.f.321.2		8	16.11	odd	4
512.2.g.g.193.1		8	32.3	odd	8
512.2.g.g.321.1		8	16.3	odd	4
512.2.g.h.193.1		8	32.13	even	8
512.2.g.h.321.1		8	16.5	even	4
800.2.y.b.101.1		8	160.69	even	8
800.2.y.b.301.1		8	5.4	even	2
800.2.ba.c.549.1		8	160.37	odd	8
800.2.ba.c.749.1		8	5.3	odd	4
800.2.ba.d.549.2		8	160.133	odd	8
800.2.ba.d.749.2		8	5.2	odd	4
1152.2.v.b.145.2		8	12.11	even	2
1152.2.v.b.1009.2		8	96.59	even	8
4096.2.a.k.1.4		8	64.37	even	16
4096.2.a.k.1.5		8	64.5	even	16
4096.2.a.q.1.4		8	64.59	odd	16
4096.2.a.q.1.5		8	64.27	odd	16

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:	\( N \)	\(=\)	\( 32 = 2^{5} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	32.g (of order \(8\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.443806 - 1.34277i) q^{2} +(0.0794708 - 0.191860i) q^{3} +(-1.60607 + 1.19186i) q^{4} +(0.707107 - 0.292893i) q^{5} +(-0.292893 - 0.0215628i) q^{6} +(-2.27133 + 2.27133i) q^{7} +(2.31318 + 1.62764i) q^{8} +(2.09083 + 2.09083i) q^{9} +(-0.707107 - 0.819496i) q^{10} +(-1.49368 - 3.60607i) q^{11} +(0.101034 + 0.402859i) q^{12} +(-4.50504 - 1.86605i) q^{13} +(4.05791 + 2.04185i) q^{14} -0.158942i q^{15} +(1.15894 - 3.82843i) q^{16} -3.05320i q^{17} +(1.87958 - 3.73542i) q^{18} +(3.87740 + 1.60607i) q^{19} +(-0.786578 + 1.31318i) q^{20} +(0.255272 + 0.616281i) q^{21} +(-4.17923 + 3.60607i) q^{22} +(0.271330 + 0.271330i) q^{23} +(0.496108 - 0.314456i) q^{24} +(-3.12132 + 3.12132i) q^{25} +(-0.506316 + 6.87740i) q^{26} +(1.14288 - 0.473398i) q^{27} +(0.940816 - 6.35503i) q^{28} +(-0.931884 + 2.24977i) q^{29} +(-0.213422 + 0.0705392i) q^{30} +6.82843 q^{31} +(-5.65505 + 0.142883i) q^{32} -0.810564 q^{33} +(-4.09976 + 1.35503i) q^{34} +(-0.940816 + 2.27133i) q^{35} +(-5.84999 - 0.866048i) q^{36} +(3.63349 - 1.50504i) q^{37} +(0.435776 - 5.91925i) q^{38} +(-0.716038 + 0.716038i) q^{39} +(2.11239 + 0.473398i) q^{40} +(-1.54266 - 1.54266i) q^{41} +(0.714234 - 0.616281i) q^{42} +(0.748956 + 1.80814i) q^{43} +(6.69690 + 4.01136i) q^{44} +(2.09083 + 0.866048i) q^{45} +(0.243917 - 0.484753i) q^{46} -7.37109i q^{47} +(-0.642418 - 0.526602i) q^{48} -3.31788i q^{49} +(5.57648 + 2.80596i) q^{50} +(-0.585786 - 0.242641i) q^{51} +(9.45949 - 2.37236i) q^{52} +(1.67661 + 4.04770i) q^{53} +(-1.14288 - 1.32453i) q^{54} +(-2.11239 - 2.11239i) q^{55} +(-8.95089 + 1.55710i) q^{56} +(0.616281 - 0.616281i) q^{57} +(3.43450 + 0.252848i) q^{58} +(-10.1200 + 4.19186i) q^{59} +(0.189436 + 0.255272i) q^{60} +(1.35873 - 3.28026i) q^{61} +(-3.03049 - 9.16902i) q^{62} -9.49791 q^{63} +(2.70160 + 7.53003i) q^{64} -3.73210 q^{65} +(0.359733 + 1.08840i) q^{66} +(-1.99577 + 4.81822i) q^{67} +(3.63899 + 4.90367i) q^{68} +(0.0736202 - 0.0304945i) q^{69} +(3.46742 + 0.255272i) q^{70} +(6.47085 - 6.47085i) q^{71} +(1.43335 + 8.23956i) q^{72} +(-2.84106 - 2.84106i) q^{73} +(-3.63349 - 4.21100i) q^{74} +(0.350801 + 0.846909i) q^{75} +(-8.14161 + 2.04185i) q^{76} +(11.5832 + 4.79793i) q^{77} +(1.27926 + 0.643694i) q^{78} +9.74996i q^{79} +(-0.301825 - 3.04655i) q^{80} +8.61373i q^{81} +(-1.38680 + 2.75608i) q^{82} +(-9.04642 - 3.74715i) q^{83} +(-1.14451 - 0.685544i) q^{84} +(-0.894263 - 2.15894i) q^{85} +(2.09553 - 1.80814i) q^{86} +(0.357582 + 0.357582i) q^{87} +(2.41421 - 10.7727i) q^{88} +(7.58323 - 7.58323i) q^{89} +(0.234985 - 3.19186i) q^{90} +(14.4708 - 5.99402i) q^{91} +(-0.759164 - 0.112389i) q^{92} +(0.542661 - 1.31010i) q^{93} +(-9.89769 + 3.27133i) q^{94} +3.21215 q^{95} +(-0.421998 + 1.09633i) q^{96} +3.71423 q^{97} +(-4.45516 + 1.47250i) q^{98} +(4.41664 - 10.6627i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q - 4 q^{2} - 4 q^{3} + 4 q^{4} - 8 q^{6} - 8 q^{7} - 4 q^{8} + 4 q^{11} + 12 q^{12} - 8 q^{13} + 12 q^{14} + 20 q^{18} + 4 q^{19} + 4 q^{20} + 4 q^{22} - 8 q^{23} - 8 q^{24} - 8 q^{25} - 20 q^{26} + 8 q^{27}+ \cdots + 28 q^{99}+O(q^{100}) \) 8 * q - 4 * q^2 - 4 * q^3 + 4 * q^4 - 8 * q^6 - 8 * q^7 - 4 * q^8 + 4 * q^11 + 12 * q^12 - 8 * q^13 + 12 * q^14 + 20 * q^18 + 4 * q^19 + 4 * q^20 + 4 * q^22 - 8 * q^23 - 8 * q^24 - 8 * q^25 - 20 * q^26 + 8 * q^27 - 16 * q^28 - 12 * q^30 + 32 * q^31 - 24 * q^32 - 16 * q^33 + 16 * q^35 - 40 * q^36 - 8 * q^37 + 8 * q^38 + 16 * q^39 + 16 * q^40 + 8 * q^41 + 8 * q^42 - 12 * q^43 + 20 * q^44 + 12 * q^46 + 48 * q^48 + 16 * q^50 - 16 * q^51 + 12 * q^52 + 8 * q^53 - 8 * q^54 - 16 * q^55 + 8 * q^56 + 16 * q^57 - 12 * q^58 - 20 * q^59 - 8 * q^60 + 24 * q^61 - 24 * q^62 - 40 * q^63 - 8 * q^64 - 28 * q^66 - 36 * q^67 + 16 * q^68 + 32 * q^69 - 8 * q^70 - 24 * q^71 + 12 * q^72 - 32 * q^73 + 8 * q^74 - 12 * q^75 - 20 * q^76 + 16 * q^77 + 28 * q^78 + 8 * q^80 - 20 * q^82 + 20 * q^83 + 8 * q^84 + 8 * q^85 + 4 * q^86 + 56 * q^87 + 8 * q^88 - 16 * q^89 + 28 * q^90 + 40 * q^91 - 16 * q^92 - 16 * q^93 - 24 * q^94 - 8 * q^95 - 16 * q^96 + 32 * q^97 - 24 * q^98 + 28 * q^99

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