LMFDB - Embedded newform 170.2.o.b.3.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [170,2,Mod(3,170)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(170, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([12, 1]))

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

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

chi := DirichletCharacter("170.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 170 = 2 \cdot 5 \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	170.o (of order $16$, degree $8$, 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:	$1.35745683436$
Analytic rank:	$0$
Dimension:	$40$
Relative dimension:	$5$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			3.4
Character	$\chi$	$=$	170.3
Dual form			170.2.o.b.57.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.382683 - 0.923880i) q^{2} +(0.942312 + 1.41027i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(-0.577195 + 2.16029i) q^{5} +(1.66353 - 0.330896i) q^{6} +(0.999670 + 5.02568i) q^{7} +(-0.923880 + 0.382683i) q^{8} +(0.0471409 - 0.113808i) q^{9} +O(q^{10})$	\(q+(0.382683 - 0.923880i) q^{2} +(0.942312 + 1.41027i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(-0.577195 + 2.16029i) q^{5} +(1.66353 - 0.330896i) q^{6} +(0.999670 + 5.02568i) q^{7} +(-0.923880 + 0.382683i) q^{8} +(0.0471409 - 0.113808i) q^{9} +(1.77496 + 1.35996i) q^{10} +(-0.999543 - 5.02504i) q^{11} +(0.330896 - 1.66353i) q^{12} -3.13814i q^{13} +(5.02568 + 0.999670i) q^{14} +(-3.59049 + 1.22167i) q^{15} +1.00000i q^{16} +(2.02049 - 3.59411i) q^{17} +(-0.0871050 - 0.0871050i) q^{18} +(0.297551 + 0.718351i) q^{19} +(1.93569 - 1.11942i) q^{20} +(-6.14557 + 6.14557i) q^{21} +(-5.02504 - 0.999543i) q^{22} +(0.489757 + 0.327245i) q^{23} +(-1.41027 - 0.942312i) q^{24} +(-4.33369 - 2.49381i) q^{25} +(-2.89926 - 1.20091i) q^{26} +(5.19550 - 1.03345i) q^{27} +(2.84682 - 4.26057i) q^{28} +(1.78058 + 2.66483i) q^{29} +(-0.245348 + 3.78469i) q^{30} +(-0.00940187 + 0.0472664i) q^{31} +(0.923880 + 0.382683i) q^{32} +(6.14479 - 6.14479i) q^{33} +(-2.54732 - 3.24209i) q^{34} +(-11.4339 - 0.741221i) q^{35} +(-0.113808 + 0.0471409i) q^{36} +(-1.83197 + 1.22409i) q^{37} +0.777538 q^{38} +(4.42562 - 2.95711i) q^{39} +(-0.293448 - 2.21673i) q^{40} +(0.774342 - 1.15889i) q^{41} +(3.32596 + 8.02957i) q^{42} +(1.05995 + 2.55893i) q^{43} +(-2.84646 + 4.26003i) q^{44} +(0.218649 + 0.167527i) q^{45} +(0.489757 - 0.327245i) q^{46} +1.90169 q^{47} +(-1.41027 + 0.942312i) q^{48} +(-17.7910 + 7.36927i) q^{49} +(-3.96242 + 3.04947i) q^{50} +(6.97260 - 0.537342i) q^{51} +(-2.21900 + 2.21900i) q^{52} +(-10.6972 - 4.43093i) q^{53} +(1.03345 - 5.19550i) q^{54} +(11.4325 + 0.741126i) q^{55} +(-2.84682 - 4.26057i) q^{56} +(-0.732684 + 1.09654i) q^{57} +(3.14338 - 0.625257i) q^{58} +(-2.75861 - 1.14265i) q^{59} +(3.40271 + 1.67501i) q^{60} +(-8.20282 - 5.48095i) q^{61} +(0.0400705 + 0.0267743i) q^{62} +(0.619089 + 0.123144i) q^{63} +(0.707107 - 0.707107i) q^{64} +(6.77929 + 1.81132i) q^{65} +(-3.32553 - 8.02855i) q^{66} +(7.07294 + 7.07294i) q^{67} +(-3.97012 + 1.11272i) q^{68} +0.999058i q^{69} +(-5.06037 + 10.2799i) q^{70} +(7.55981 + 1.50374i) q^{71} +0.123185i q^{72} +(-1.39937 + 7.03510i) q^{73} +(0.429842 + 2.16096i) q^{74} +(-0.566741 - 8.46163i) q^{75} +(0.297551 - 0.718351i) q^{76} +(24.2551 - 10.0468i) q^{77} +(-1.03840 - 5.22038i) q^{78} +(-9.46534 + 1.88277i) q^{79} +(-2.16029 - 0.577195i) q^{80} +(6.09192 + 6.09192i) q^{81} +(-0.774342 - 1.15889i) q^{82} +(6.48955 - 15.6672i) q^{83} +8.69115 q^{84} +(6.59810 + 6.43934i) q^{85} +2.76977 q^{86} +(-2.08026 + 5.02220i) q^{87} +(2.84646 + 4.26003i) q^{88} +(-5.07441 - 5.07441i) q^{89} +(0.238448 - 0.137895i) q^{90} +(15.7713 - 3.13711i) q^{91} +(-0.114913 - 0.577708i) q^{92} +(-0.0755179 + 0.0312805i) q^{93} +(0.727743 - 1.75693i) q^{94} +(-1.72359 + 0.228167i) q^{95} +(0.330896 + 1.66353i) q^{96} +(0.353366 - 1.77649i) q^{97} +19.2568i q^{98} +(-0.619010 - 0.123129i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q+O(q^{10}) $ 40 * q	$ 40 q + 8 q^{10} - 8 q^{15} - 16 q^{18} - 16 q^{20} - 8 q^{25} - 8 q^{26} + 24 q^{27} + 8 q^{28} - 8 q^{29} - 16 q^{31} + 32 q^{33} - 8 q^{34} - 32 q^{35} + 16 q^{37} + 32 q^{39} + 8 q^{40} - 56 q^{41} - 8 q^{42} - 48 q^{43} - 16 q^{44} - 24 q^{45} - 96 q^{47} - 16 q^{49} - 32 q^{51} - 16 q^{52} - 40 q^{53} + 24 q^{54} + 8 q^{55} - 8 q^{56} - 8 q^{57} + 16 q^{58} + 24 q^{61} - 24 q^{62} - 24 q^{63} + 16 q^{65} - 16 q^{67} + 24 q^{68} + 8 q^{70} + 24 q^{71} + 16 q^{73} - 32 q^{74} + 184 q^{75} + 40 q^{77} + 16 q^{78} + 104 q^{79} + 8 q^{80} + 48 q^{81} + 56 q^{82} + 16 q^{83} - 8 q^{85} + 96 q^{86} - 8 q^{87} + 16 q^{88} + 16 q^{89} + 40 q^{90} + 48 q^{91} + 8 q^{92} + 136 q^{93} + 8 q^{94} + 8 q^{95} + 144 q^{97} - 160 q^{99}+O(q^{100}) $ 40 * q + 8 * q^10 - 8 * q^15 - 16 * q^18 - 16 * q^20 - 8 * q^25 - 8 * q^26 + 24 * q^27 + 8 * q^28 - 8 * q^29 - 16 * q^31 + 32 * q^33 - 8 * q^34 - 32 * q^35 + 16 * q^37 + 32 * q^39 + 8 * q^40 - 56 * q^41 - 8 * q^42 - 48 * q^43 - 16 * q^44 - 24 * q^45 - 96 * q^47 - 16 * q^49 - 32 * q^51 - 16 * q^52 - 40 * q^53 + 24 * q^54 + 8 * q^55 - 8 * q^56 - 8 * q^57 + 16 * q^58 + 24 * q^61 - 24 * q^62 - 24 * q^63 + 16 * q^65 - 16 * q^67 + 24 * q^68 + 8 * q^70 + 24 * q^71 + 16 * q^73 - 32 * q^74 + 184 * q^75 + 40 * q^77 + 16 * q^78 + 104 * q^79 + 8 * q^80 + 48 * q^81 + 56 * q^82 + 16 * q^83 - 8 * q^85 + 96 * q^86 - 8 * q^87 + 16 * q^88 + 16 * q^89 + 40 * q^90 + 48 * q^91 + 8 * q^92 + 136 * q^93 + 8 * q^94 + 8 * q^95 + 144 * q^97 - 160 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/170\mathbb{Z}\right)^\times$.

$n$	$71$	$137$
$\chi(n)$	$e\left(\frac{1}{16}\right)$	$e\left(\frac{3}{4}\right)$

Coefficient data

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

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

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

$2$	0.382683	−	0.923880i	0.270598	−	0.653281i
$2$	0.382683	−	0.923880i	0.270598	−	0.653281i
$3$	0.942312	+	1.41027i	0.544044	+	0.814220i	0.997007	−	0.0773095i	$-0.0246330\pi$
$3$	0.942312	+	1.41027i	0.544044	+	0.814220i	−0.452963	+	0.891529i	$0.649633\pi$
$4$	−0.707107	−	0.707107i	−0.353553	−	0.353553i
$5$	−0.577195	+	2.16029i	−0.258129	+	0.966110i
$5$	−0.577195	+	2.16029i	−0.258129	+	0.966110i
$6$	1.66353	−	0.330896i	0.679132	−	0.135088i
$7$	0.999670	+	5.02568i	0.377840	+	1.89953i	0.433638	+	0.901087i	$0.357230\pi$
$7$	0.999670	+	5.02568i	0.377840	+	1.89953i	−0.0557977	+	0.998442i	$0.517770\pi$
$8$	−0.923880	+	0.382683i	−0.326641	+	0.135299i
$9$	0.0471409	−	0.113808i	0.0157136	−	0.0379360i
$10$	1.77496	+	1.35996i	0.561293	+	0.430059i
$11$	−0.999543	−	5.02504i	−0.301374	−	1.51511i	−0.773625	−	0.633643i	$-0.781559\pi$
$11$	−0.999543	−	5.02504i	−0.301374	−	1.51511i	0.472252	−	0.881464i	$-0.343441\pi$
$12$	0.330896	−	1.66353i	0.0955215	−	0.480219i
$13$		−	3.13814i		−	0.870363i	−0.900343	−	0.435182i	$-0.856684\pi$
$13$		−	3.13814i		−	0.870363i	0.900343	−	0.435182i	$-0.143316\pi$
$14$	5.02568	+	0.999670i	1.34317	+	0.267173i
$15$	−3.59049	+	1.22167i	−0.927060	+	0.315433i
$16$			1.00000i			0.250000i
$17$	2.02049	−	3.59411i	0.490040	−	0.871700i
$17$	2.02049	−	3.59411i	0.490040	−	0.871700i
$18$	−0.0871050	−	0.0871050i	−0.0205308	−	0.0205308i
$19$	0.297551	+	0.718351i	0.0682628	+	0.164801i	0.954329	−	0.298758i	$-0.0965723\pi$
$19$	0.297551	+	0.718351i	0.0682628	+	0.164801i	−0.886066	+	0.463559i	$0.846572\pi$
$20$	1.93569	−	1.11942i	0.432834	−	0.250309i
$21$	−6.14557	+	6.14557i	−1.34107	+	1.34107i
$22$	−5.02504	−	0.999543i	−1.07134	−	0.213103i
$23$	0.489757	+	0.327245i	0.102121	+	0.0682354i	0.605582	−	0.795783i	$-0.292940\pi$
$23$	0.489757	+	0.327245i	0.102121	+	0.0682354i	−0.503461	+	0.864018i	$0.667940\pi$
$24$	−1.41027	−	0.942312i	−0.287870	−	0.192349i
$25$	−4.33369	−	2.49381i	−0.866739	−	0.498763i
$26$	−2.89926	−	1.20091i	−0.568592	−	0.235519i
$27$	5.19550	−	1.03345i	0.999875	−	0.198888i
$28$	2.84682	−	4.26057i	0.537999	−	0.805172i
$29$	1.78058	+	2.66483i	0.330646	+	0.494846i	0.959126	−	0.282979i	$-0.0913227\pi$
$29$	1.78058	+	2.66483i	0.330646	+	0.494846i	−0.628480	+	0.777826i	$0.716323\pi$
$30$	−0.245348	+	3.78469i	−0.0447942	+	0.690987i
$31$	−0.00940187	+	0.0472664i	−0.00168863	+	0.00848929i	−0.981620	−	0.190844i	$-0.938878\pi$
$31$	−0.00940187	+	0.0472664i	−0.00168863	+	0.00848929i	0.979932	+	0.199333i	$0.0638776\pi$
$32$	0.923880	+	0.382683i	0.163320	+	0.0676495i
$33$	6.14479	−	6.14479i	1.06967	−	1.06967i
$34$	−2.54732	−	3.24209i	−0.436861	−	0.556014i
$35$	−11.4339	−	0.741221i	−1.93269	−	0.125289i
$36$	−0.113808	+	0.0471409i	−0.0189680	+	0.00785681i
$37$	−1.83197	+	1.22409i	−0.301175	+	0.201239i	−0.696970	−	0.717100i	$-0.745469\pi$
$37$	−1.83197	+	1.22409i	−0.301175	+	0.201239i	0.395795	+	0.918339i	$0.370469\pi$
$38$	0.777538			0.126133
$39$	4.42562	−	2.95711i	0.708667	−	0.473516i
$40$	−0.293448	−	2.21673i	−0.0463982	−	0.350496i
$41$	0.774342	−	1.15889i	0.120932	−	0.180987i	−0.766064	−	0.642764i	$-0.777788\pi$
$41$	0.774342	−	1.15889i	0.120932	−	0.180987i	0.886996	+	0.461776i	$0.152788\pi$
$42$	3.32596	+	8.02957i	0.513206	+	1.23899i
$43$	1.05995	+	2.55893i	0.161640	+	0.390234i	0.983861	−	0.178935i	$-0.0572651\pi$
$43$	1.05995	+	2.55893i	0.161640	+	0.390234i	−0.822221	+	0.569169i	$0.807265\pi$
$44$	−2.84646	+	4.26003i	−0.429120	+	0.642223i
$45$	0.218649	+	0.167527i	0.0325943	+	0.0249735i
$46$	0.489757	−	0.327245i	0.0722108	−	0.0482497i
$47$	1.90169			0.277389			0.138695	−	0.990335i	$-0.455709\pi$
$47$	1.90169			0.277389			0.138695	+	0.990335i	$0.455709\pi$
$48$	−1.41027	+	0.942312i	−0.203555	+	0.136011i
$49$	−17.7910	+	7.36927i	−2.54157	+	1.05275i
$50$	−3.96242	+	3.04947i	−0.560370	+	0.431260i
$51$	6.97260	−	0.537342i	0.976359	−	0.0752429i
$52$	−2.21900	+	2.21900i	−0.307720	+	0.307720i
$53$	−10.6972	−	4.43093i	−1.46937	−	0.608635i	−0.502658	−	0.864485i	$-0.667645\pi$
$53$	−10.6972	−	4.43093i	−1.46937	−	0.608635i	−0.966716	+	0.255850i	$0.917645\pi$
$54$	1.03345	−	5.19550i	0.140635	−	0.707018i
$55$	11.4325	+	0.741126i	1.54155	+	0.0999334i
$56$	−2.84682	−	4.26057i	−0.380422	−	0.569342i
$57$	−0.732684	+	1.09654i	−0.0970463	+	0.145240i
$58$	3.14338	−	0.625257i	0.412746	−	0.0821003i
$59$	−2.75861	−	1.14265i	−0.359140	−	0.148761i	0.195815	−	0.980641i	$-0.437265\pi$
$59$	−2.75861	−	1.14265i	−0.359140	−	0.148761i	−0.554955	+	0.831880i	$0.687265\pi$
$60$	3.40271	+	1.67501i	0.439288	+	0.216243i
$61$	−8.20282	−	5.48095i	−1.05026	−	0.701764i	−0.0943882	−	0.995535i	$-0.530089\pi$
$61$	−8.20282	−	5.48095i	−1.05026	−	0.701764i	−0.955876	+	0.293772i	$0.905089\pi$
$62$	0.0400705	+	0.0267743i	0.00508896	+	0.00340033i
$63$	0.619089	+	0.123144i	0.0779979	+	0.0155147i
$64$	0.707107	−	0.707107i	0.0883883	−	0.0883883i
$65$	6.77929	+	1.81132i	0.840867	+	0.224666i
$66$	−3.32553	−	8.02855i	−0.409345	−	0.988246i
$67$	7.07294	+	7.07294i	0.864097	+	0.864097i	0.991811	−	0.127714i	$-0.0407639\pi$
$67$	7.07294	+	7.07294i	0.864097	+	0.864097i	−0.127714	+	0.991811i	$0.540764\pi$
$68$	−3.97012	+	1.11272i	−0.481448	+	0.134937i
$69$			0.999058i			0.120272i
$70$	−5.06037	+	10.2799i	−0.604830	+	1.22869i
$71$	7.55981	+	1.50374i	0.897184	+	0.178461i	0.622080	−	0.782953i	$-0.286288\pi$
$71$	7.55981	+	1.50374i	0.897184	+	0.178461i	0.275104	+	0.961414i	$0.411288\pi$
$72$			0.123185i			0.0145175i
$73$	−1.39937	+	7.03510i	−0.163784	+	0.823397i	0.808302	+	0.588769i	$0.200387\pi$
$73$	−1.39937	+	7.03510i	−0.163784	+	0.823397i	−0.972085	+	0.234628i	$0.924613\pi$
$74$	0.429842	+	2.16096i	0.0499681	+	0.251207i
$75$	−0.566741	−	8.46163i	−0.0654416	−	0.977065i
$76$	0.297551	−	0.718351i	0.0341314	−	0.0824005i
$77$	24.2551	−	10.0468i	2.76412	−	1.14494i
$78$	−1.03840	−	5.22038i	−0.117575	−	0.591092i
$79$	−9.46534	+	1.88277i	−1.06493	+	0.211829i	−0.696303	−	0.717747i	$-0.745173\pi$
$79$	−9.46534	+	1.88277i	−1.06493	+	0.211829i	−0.368630	+	0.929576i	$0.620173\pi$
$80$	−2.16029	−	0.577195i	−0.241528	−	0.0645323i
$81$	6.09192	+	6.09192i	0.676880	+	0.676880i
$82$	−0.774342	−	1.15889i	−0.0855118	−	0.127977i
$83$	6.48955	−	15.6672i	0.712321	−	1.71969i	0.0182010	−	0.999834i	$-0.494206\pi$
$83$	6.48955	−	15.6672i	0.712321	−	1.71969i	0.694120	−	0.719860i	$-0.255794\pi$
$84$	8.69115			0.948282
$85$	6.59810	+	6.43934i	0.715665	+	0.698444i
$86$	2.76977			0.298672
$87$	−2.08026	+	5.02220i	−0.223028	+	0.538437i
$88$	2.84646	+	4.26003i	0.303433	+	0.454120i
$89$	−5.07441	−	5.07441i	−0.537886	−	0.537886i	0.385022	−	0.922908i	$-0.374194\pi$
$89$	−5.07441	−	5.07441i	−0.537886	−	0.537886i	−0.922908	+	0.385022i	$0.874194\pi$
$90$	0.238448	−	0.137895i	0.0251347	−	0.0145354i
$91$	15.7713	−	3.13711i	1.65328	−	0.328858i
$92$	−0.114913	−	0.577708i	−0.0119805	−	0.0602302i
$93$	−0.0755179	+	0.0312805i	−0.00783084	+	0.00324364i
$94$	0.727743	−	1.75693i	0.0750610	−	0.181213i
$95$	−1.72359	+	0.228167i	−0.176837	+	0.0234095i
$96$	0.330896	+	1.66353i	0.0337719	+	0.169783i
$97$	0.353366	−	1.77649i	0.0358789	−	0.180375i	−0.958690	−	0.284451i	$-0.908189\pi$
$97$	0.353366	−	1.77649i	0.0358789	−	0.180375i	0.994569	+	0.104076i	$0.0331886\pi$
$98$			19.2568i			1.94523i
$99$	−0.619010	−	0.123129i	−0.0622128	−	0.0123749i
$100$	1.30099	+	4.82778i	0.130099	+	0.482778i
$101$		−	3.59573i		−	0.357789i	−0.983868	−	0.178894i	$-0.942748\pi$
$101$		−	3.59573i		−	0.357789i	0.983868	−	0.178894i	$-0.0572520\pi$
$102$	2.17186	−	6.64747i	0.215046	−	0.658198i
$103$	7.28280	+	7.28280i	0.717596	+	0.717596i	0.968112	−	0.250516i	$-0.0806004\pi$
$103$	7.28280	+	7.28280i	0.717596	+	0.717596i	−0.250516	+	0.968112i	$0.580600\pi$
$104$	1.20091	+	2.89926i	0.117759	+	0.284296i
$105$	−9.72901	−	16.8234i	−0.949454	−	1.64179i
$106$	−8.18729	+	8.18729i	−0.795220	+	0.795220i
$107$	−12.5930	−	2.50491i	−1.21742	−	0.242159i	−0.455737	−	0.890114i	$-0.650624\pi$
$107$	−12.5930	−	2.50491i	−1.21742	−	0.242159i	−0.761678	+	0.647956i	$0.775624\pi$
$108$	−4.40453	−	2.94302i	−0.423827	−	0.283192i
$109$	1.52870	+	1.02144i	0.146423	+	0.0978365i	0.626624	−	0.779322i	$-0.284436\pi$
$109$	1.52870	+	1.02144i	0.146423	+	0.0978365i	−0.480201	+	0.877158i	$0.659436\pi$
$110$	5.05973	−	10.2786i	0.482426	−	0.980027i
$111$	−3.45259	−	1.43011i	−0.327705	−	0.135740i
$112$	−5.02568	+	0.999670i	−0.474882	+	0.0944600i
$113$	−5.23205	+	7.83031i	−0.492190	+	0.736614i	−0.991542	−	0.129785i	$-0.958571\pi$
$113$	−5.23205	+	7.83031i	−0.492190	+	0.736614i	0.499352	+	0.866399i	$0.333571\pi$
$114$	0.732684	+	1.09654i	0.0686221	+	0.102700i
$115$	−0.989630	+	0.869133i	−0.0922835	+	0.0810471i
$116$	0.625257	−	3.14338i	0.0580537	−	0.291856i
$117$	−0.357146	−	0.147935i	−0.0330181	−	0.0136766i
$118$	−2.11135	+	2.11135i	−0.194365	+	0.194365i
$119$	20.0827	+	6.56140i	1.84098	+	0.601483i
$120$	2.84967	−	2.50269i	0.260138	−	0.228464i
$121$	−14.0893	+	5.83597i	−1.28084	+	0.530543i
$122$	−8.20282	+	5.48095i	−0.742649	+	0.496222i
$123$	2.36401			0.213156
$124$	0.0400705	−	0.0267743i	0.00359844	−	0.00240440i
$125$	7.88874	−	7.92261i	0.705591	−	0.708620i
$126$	0.350686	−	0.524838i	0.0312416	−	0.0467563i
$127$	0.525151	+	1.26783i	0.0465996	+	0.112501i	0.945465	−	0.325723i	$-0.105608\pi$
$127$	0.525151	+	1.26783i	0.0465996	+	0.112501i	−0.898866	+	0.438224i	$0.855608\pi$
$128$	−0.382683	−	0.923880i	−0.0338248	−	0.0816602i
$129$	−2.60999	+	3.90612i	−0.229797	+	0.343915i
$130$	4.26776	−	5.57008i	0.374307	−	0.488529i
$131$	0.556247	−	0.371672i	0.0485995	−	0.0324731i	−0.531033	−	0.847351i	$-0.678196\pi$
$131$	0.556247	−	0.371672i	0.0485995	−	0.0324731i	0.579633	+	0.814878i	$0.303196\pi$
$132$	−8.69004			−0.756371
$133$	−3.31275	+	2.21351i	−0.287252	+	0.191936i
$134$	9.24124	−	3.82785i	0.798322	−	0.330676i
$135$	−0.766267	+	11.8203i	−0.0659497	+	1.01733i
$136$	−0.491281	+	4.09373i	−0.0421270	+	0.351035i
$137$	−13.3596	+	13.3596i	−1.14139	+	1.14139i	−0.153194	+	0.988196i	$0.548956\pi$
$137$	−13.3596	+	13.3596i	−1.14139	+	1.14139i	−0.988196	+	0.153194i	$0.951044\pi$
$138$	0.923009	+	0.382323i	0.0785717	+	0.0325455i
$139$	−2.60733	+	13.1079i	−0.221151	+	1.11180i	0.697456	+	0.716627i	$0.254315\pi$
$139$	−2.60733	+	13.1079i	−0.221151	+	1.11180i	−0.918607	+	0.395172i	$0.870685\pi$
$140$	7.56089	+	8.60913i	0.639012	+	0.727604i
$141$	1.79198	+	2.68189i	0.150912	+	0.225856i
$142$	4.28229	−	6.40890i	0.359362	−	0.537823i
$143$	−15.7693	+	3.13671i	−1.31869	+	0.262304i
$144$	0.113808	+	0.0471409i	0.00948401	+	0.00392841i
$145$	−6.78454	+	2.30845i	−0.563426	+	0.191706i
$146$	5.96407	+	3.98507i	0.493590	+	0.329806i
$147$	−27.1573	−	18.1459i	−2.23990	−	1.49665i
$148$	2.16096	+	0.429842i	0.177630	+	0.0353328i
$149$	5.33611	−	5.33611i	0.437151	−	0.437151i	−0.453901	−	0.891052i	$-0.649968\pi$
$149$	5.33611	−	5.33611i	0.437151	−	0.437151i	0.891052	+	0.453901i	$0.149968\pi$
$150$	−8.03441	−	2.71453i	−0.656007	−	0.221640i
$151$	2.08948	+	5.04445i	0.170039	+	0.410511i	0.985810	−	0.167864i	$-0.0536870\pi$
$151$	2.08948	+	5.04445i	0.170039	+	0.410511i	−0.815771	+	0.578375i	$0.803687\pi$
$152$	−0.549802	−	0.549802i	−0.0445949	−	0.0445949i
$153$	−0.313791	−	0.399377i	−0.0253685	−	0.0322878i
$154$		−	26.2535i		−	2.11557i
$155$	−0.0966823	−	0.0475927i	−0.00776571	−	0.00382273i
$156$	−5.22038	−	1.03840i	−0.417965	−	0.0831384i
$157$		−	2.81882i		−	0.224966i	−0.993654	−	0.112483i	$-0.964120\pi$
$157$		−	2.81882i		−	0.224966i	0.993654	−	0.112483i	$-0.0358804\pi$
$158$	−1.88277	+	9.46534i	−0.149785	+	0.753022i
$159$	−3.83131	−	19.2613i	−0.303842	−	1.52752i
$160$	−1.35996	+	1.77496i	−0.107515	+	0.140323i
$161$	−1.15504	+	2.78850i	−0.0910296	+	0.219765i
$162$	7.95947	−	3.29692i	0.625355	−	0.259031i
$163$	−2.93957	−	14.7782i	−0.230245	−	1.15752i	−0.906941	−	0.421258i	$-0.861589\pi$
$163$	−2.93957	−	14.7782i	−0.230245	−	1.15752i	0.676696	−	0.736263i	$-0.263411\pi$
$164$	−1.36700	+	0.271913i	−0.106745	+	0.0212328i
$165$	9.72777	+	16.8212i	0.757306	+	1.30953i
$166$	−11.9911	−	11.9911i	−0.930692	−	0.930692i
$167$	11.6295	+	17.4048i	0.899918	+	1.34682i	0.937667	+	0.347535i	$0.112981\pi$
$167$	11.6295	+	17.4048i	0.899918	+	1.34682i	−0.0377492	+	0.999287i	$0.512019\pi$
$168$	3.32596	−	8.02957i	0.256603	−	0.619495i
$169$	3.15208			0.242468
$170$	8.47416	−	3.63162i	0.649938	−	0.278533i
$171$	0.0957810			0.00732456
$172$	1.05995	−	2.55893i	0.0808201	−	0.195117i
$173$	2.15070	+	3.21875i	0.163515	+	0.244717i	0.904175	−	0.427163i	$-0.140487\pi$
$173$	2.15070	+	3.21875i	0.163515	+	0.244717i	−0.740660	+	0.671880i	$0.765487\pi$
$174$	3.84383	+	3.84383i	0.291400	+	0.291400i
$175$	8.20085	−	24.2728i	0.619926	−	1.83485i
$176$	5.02504	−	0.999543i	0.378777	−	0.0753434i
$177$	−0.988021	−	4.96712i	−0.0742642	−	0.373351i
$178$	−6.63003	+	2.74625i	−0.496942	+	0.205840i
$179$	4.32045	−	10.4305i	0.322925	−	0.779611i	−0.676156	−	0.736759i	$-0.736355\pi$
$179$	4.32045	−	10.4305i	0.322925	−	0.779611i	0.999081	−	0.0428525i	$-0.0136446\pi$
$180$	−0.0361484	−	0.273068i	−0.00269435	−	0.0203533i
$181$	−4.26838	−	21.4586i	−0.317266	−	1.59501i	−0.729535	−	0.683944i	$-0.760263\pi$
$181$	−4.26838	−	21.4586i	−0.317266	−	1.59501i	0.412268	−	0.911062i	$-0.364737\pi$
$182$	3.13711	−	15.7713i	0.232538	−	1.16905i
$183$		−	16.7330i		−	1.23694i
$184$	−0.577708	−	0.114913i	−0.0425892	−	0.00847152i
$185$	−1.58697	−	4.66413i	−0.116677	−	0.342914i
$186$			0.0817400i			0.00599347i
$187$	−20.0801	−	6.56057i	−1.46840	−	0.479756i
$188$	−1.34469	−	1.34469i	−0.0980719	−	0.0980719i
$189$	10.3876	+	25.0778i	0.755585	+	1.82414i
$190$	−0.448791	+	1.67971i	−0.0325587	+	0.121859i
$191$	−11.6739	+	11.6739i	−0.844692	+	0.844692i	−0.989465	−	0.144773i	$-0.953755\pi$
$191$	−11.6739	+	11.6739i	−0.844692	+	0.844692i	0.144773	+	0.989465i	$0.453755\pi$
$192$	1.66353	+	0.330896i	0.120055	+	0.0238804i
$193$	2.90460	+	1.94079i	0.209078	+	0.139701i	0.655700	−	0.755021i	$-0.272373\pi$
$193$	2.90460	+	1.94079i	0.209078	+	0.139701i	−0.446623	+	0.894722i	$0.647373\pi$
$194$	−1.50604	−	1.00630i	−0.108127	−	0.0722482i
$195$	3.83376	+	11.2675i	0.274541	+	0.806879i
$196$	17.7910	+	7.36927i	1.27078	+	0.526376i
$197$	−4.89875	+	0.974422i	−0.349022	+	0.0694247i	−0.366488	−	0.930423i	$-0.619440\pi$
$197$	−4.89875	+	0.974422i	−0.349022	+	0.0694247i	0.0174665	+	0.999847i	$0.494440\pi$
$198$	−0.350641	+	0.524771i	−0.0249190	+	0.0372939i
$199$	−6.52396	−	9.76379i	−0.462471	−	0.692137i	0.524793	−	0.851230i	$-0.324143\pi$
$199$	−6.52396	−	9.76379i	−0.462471	−	0.692137i	−0.987264	+	0.159093i	$0.949143\pi$
$200$	4.95815	+	0.645551i	0.350594	+	0.0456474i
$201$	−3.30984	+	16.6397i	−0.233458	+	1.17367i
$202$	−3.32202	−	1.37603i	−0.233737	−	0.0968169i
$203$	−11.6126	+	11.6126i	−0.815044	+	0.815044i
$204$	−5.31033	−	4.55041i	−0.371797	−	0.318593i
$205$	2.05658	+	2.34171i	0.143638	+	0.163552i
$206$	9.51544	−	3.94143i	0.662972	−	0.274612i
$207$	0.0603308	−	0.0403117i	0.00419328	−	0.00280186i
$208$	3.13814			0.217591
$209$	3.31233	−	2.21323i	0.229119	−	0.153092i
$210$	−19.2659	+	2.55040i	−1.32947	+	0.175994i
$211$	−6.28170	+	9.40123i	−0.432450	+	0.647207i	−0.982138	−	0.188163i	$-0.939747\pi$
$211$	−6.28170	+	9.40123i	−0.432450	+	0.647207i	0.549688	+	0.835370i	$0.314747\pi$
$212$	4.43093	+	10.6972i	0.304317	+	0.734687i
$213$	5.00302	+	12.0784i	0.342802	+	0.827596i
$214$	−7.13338	+	10.6759i	−0.487628	+	0.729787i
$215$	−6.13983	+	0.812784i	−0.418733	+	0.0554314i
$216$	−4.40453	+	2.94302i	−0.299691	+	0.200247i
$217$	−0.246945			−0.0167637
$218$	1.52870	−	1.02144i	0.103536	−	0.0691808i
$219$	−11.2400	+	4.65578i	−0.759532	+	0.314608i
$220$	−7.55992	−	8.60803i	−0.509690	−	0.580354i
$221$	−11.2788	−	6.34057i	−0.758696	−	0.426513i
$222$	−2.64249	+	2.64249i	−0.177353	+	0.177353i
$223$	11.2085	+	4.64271i	0.750577	+	0.310899i	0.724977	−	0.688773i	$-0.241850\pi$
$223$	11.2085	+	4.64271i	0.750577	+	0.310899i	0.0255998	+	0.999672i	$0.491850\pi$
$224$	−0.999670	+	5.02568i	−0.0667933	+	0.335793i
$225$	−0.488110	+	0.375649i	−0.0325407	+	0.0250433i
$226$	5.23205	+	7.83031i	0.348031	+	0.520865i
$227$	−3.66685	+	5.48783i	−0.243377	+	0.364240i	−0.932968	−	0.359959i	$-0.882791\pi$
$227$	−3.66685	+	5.48783i	−0.243377	+	0.364240i	0.689591	+	0.724199i	$0.257791\pi$
$228$	1.29346	−	0.257284i	0.0856612	−	0.0170391i
$229$	8.19020	+	3.39249i	0.541223	+	0.224182i	0.636511	−	0.771268i	$-0.280377\pi$
$229$	8.19020	+	3.39249i	0.541223	+	0.224182i	−0.0952875	+	0.995450i	$0.530377\pi$
$230$	0.424259	+	1.24690i	0.0279748	+	0.0822182i
$231$	37.0245	+	24.7390i	2.43603	+	1.62771i
$232$	−2.66483	−	1.78058i	−0.174955	−	0.116901i
$233$	10.7054	+	2.12944i	0.701336	+	0.139504i	0.532863	−	0.846202i	$-0.321116\pi$
$233$	10.7054	+	2.12944i	0.701336	+	0.139504i	0.168474	+	0.985706i	$0.446116\pi$
$234$	−0.273348	+	0.273348i	−0.0178693	+	0.0178693i
$235$	−1.09764	+	4.10819i	−0.0716023	+	0.267989i
$236$	1.14265	+	2.75861i	0.0743803	+	0.179570i
$237$	−11.5745	−	11.5745i	−0.751846	−	0.751846i
$238$	13.7473	−	16.0430i	0.891102	−	1.03992i
$239$		−	2.34241i		−	0.151518i	−0.997126	−	0.0757590i	$-0.975862\pi$
$239$		−	2.34241i		−	0.151518i	0.997126	−	0.0757590i	$-0.0241380\pi$
$240$	−1.22167	−	3.59049i	−0.0788582	−	0.231765i
$241$	13.5797	+	2.70117i	0.874744	+	0.173997i	0.611990	−	0.790865i	$-0.290369\pi$
$241$	13.5797	+	2.70117i	0.874744	+	0.173997i	0.262754	+	0.964863i	$0.415369\pi$
$242$			15.2501i			0.980316i
$243$	0.249590	−	1.25477i	0.0160112	−	0.0804937i
$244$	1.92465	+	9.67589i	0.123213	+	0.619435i
$245$	−5.65088	−	42.6872i	−0.361022	−	2.72718i
$246$	0.904669	−	2.18406i	0.0576796	−	0.139251i
$247$	2.25429	−	0.933756i	0.143437	−	0.0594135i
$248$	−0.00940187	−	0.0472664i	−0.000597019	−	0.00300142i
$249$	28.2101	−	5.61134i	1.78774	−	0.355604i
$250$	−4.30065	−	10.3201i	−0.271997	−	0.652700i
$251$	−0.979211	−	0.979211i	−0.0618073	−	0.0618073i	0.675528	−	0.737335i	$-0.263916\pi$
$251$	−0.979211	−	0.979211i	−0.0618073	−	0.0618073i	−0.737335	+	0.675528i	$0.763916\pi$
$252$	−0.350686	−	0.524838i	−0.0220911	−	0.0330617i
$253$	1.15489	−	2.78815i	0.0726072	−	0.175289i
$254$	1.37229			0.0861049
$255$	−2.86373	+	15.3730i	−0.179334	+	0.962693i
$256$	−1.00000			−0.0625000
$257$	7.47486	−	18.0459i	0.466269	−	1.12567i	−0.499510	−	0.866308i	$-0.666487\pi$
$257$	7.47486	−	18.0459i	0.466269	−	1.12567i	0.965779	−	0.259365i	$-0.0835134\pi$
$258$	2.60999	+	3.90612i	0.162491	+	0.243185i
$259$	−7.98324	−	7.98324i	−0.496054	−	0.496054i
$260$	−3.51288	−	6.07447i	−0.217860	−	0.376723i
$261$	0.387217	−	0.0770223i	0.0239682	−	0.00476756i
$262$	−0.130514	−	0.656138i	−0.00806317	−	0.0405363i
$263$	−11.7111	+	4.85089i	−0.722136	+	0.299118i	−0.713316	−	0.700843i	$-0.752807\pi$
$263$	−11.7111	+	4.85089i	−0.722136	+	0.299118i	−0.00881987	+	0.999961i	$0.502807\pi$
$264$	−3.32553	+	8.02855i	−0.204672	+	0.494123i
$265$	15.7465	−	20.5515i	0.967297	−	1.26247i
$266$	0.777282	+	3.90766i	0.0476582	+	0.239594i
$267$	2.37461	−	11.9380i	0.145324	−	0.730591i
$268$		−	10.0027i		−	0.611009i
$269$	3.45487	+	0.687216i	0.210647	+	0.0419003i	0.299286	−	0.954164i	$-0.403252\pi$
$269$	3.45487	+	0.687216i	0.210647	+	0.0419003i	−0.0886386	+	0.996064i	$0.528252\pi$
$270$	10.6273	+	5.23137i	0.646756	+	0.318371i
$271$			16.6923i			1.01399i	0.861950	+	0.506993i	$0.169243\pi$
$271$			16.6923i			1.01399i	−0.861950	+	0.506993i	$0.830757\pi$
$272$	3.59411	+	2.02049i	0.217925	+	0.122510i
$273$	19.2857	+	19.2857i	1.16722	+	1.16722i
$274$	7.23018	+	17.4552i	0.436791	+	1.05451i
$275$	−8.19981	+	24.2697i	−0.494467	+	1.46352i
$276$	0.706440	−	0.706440i	0.0425227	−	0.0425227i
$277$	29.6196	+	5.89170i	1.77967	+	0.353998i	0.971880	−	0.235476i	$-0.0756649\pi$
$277$	29.6196	+	5.89170i	1.77967	+	0.353998i	0.807787	+	0.589474i	$0.200665\pi$
$278$	11.1124	+	7.42504i	0.666475	+	0.445324i
$279$	0.00493609	+	0.00329819i	0.000295516	+	0.000197457i
$280$	10.8472	−	3.69078i	0.648246	−	0.220566i
$281$	−9.95023	−	4.12152i	−0.593581	−	0.245869i	0.0656095	−	0.997845i	$-0.479101\pi$
$281$	−9.95023	−	4.12152i	−0.593581	−	0.245869i	−0.659190	+	0.751976i	$0.729101\pi$
$282$	3.16350	−	0.629260i	0.188384	−	0.0374719i
$283$	−13.9854	+	20.9307i	−0.831348	+	1.24420i	0.135991	+	0.990710i	$0.456578\pi$
$283$	−13.9854	+	20.9307i	−0.831348	+	1.24420i	−0.967338	+	0.253489i	$0.918422\pi$
$284$	−4.28229	−	6.40890i	−0.254107	−	0.380298i
$285$	−1.94594	−	2.21572i	−0.115267	−	0.131248i
$286$	−3.13671	+	15.7693i	−0.185477	+	0.932457i
$287$	6.59828	+	2.73310i	0.389484	+	0.161330i
$288$	0.0871050	−	0.0871050i	0.00513271	−	0.00513271i
$289$	−8.83526	−	14.5237i	−0.519721	−	0.854336i
$290$	−0.463606	+	7.15150i	−0.0272239	+	0.419951i
$291$	2.83831	−	1.17567i	0.166385	−	0.0689189i
$292$	5.96407	−	3.98507i	0.349021	−	0.233208i
$293$	−8.81242			−0.514827			−0.257414	−	0.966301i	$-0.582870\pi$
$293$	−8.81242			−0.514827			−0.257414	+	0.966301i	$0.582870\pi$
$294$	−27.1573	+	18.1459i	−1.58385	+	1.05829i
$295$	4.06071	−	5.29985i	0.236424	−	0.308569i
$296$	1.22409	−	1.83197i	0.0711486	−	0.106481i
$297$	−10.3863	−	25.0746i	−0.602672	−	1.45498i
$298$	−2.88788	−	6.97196i	−0.167290	−	0.403875i
$299$	1.02694	−	1.53693i	0.0593896	−	0.0888828i
$300$	−5.58253	+	6.38402i	−0.322307	+	0.368582i
$301$	−11.8008	+	7.88504i	−0.680187	+	0.454486i
$302$	5.46007			0.314192
$303$	5.07095	−	3.38830i	0.291319	−	0.194653i
$304$	−0.718351	+	0.297551i	−0.0412003	+	0.0170657i
$305$	16.5751	−	14.5569i	0.949085	−	0.833525i
$306$	−0.489059	+	0.137070i	−0.0279577	+	0.00783579i
$307$	1.58233	−	1.58233i	0.0903081	−	0.0903081i	−0.660510	−	0.750818i	$-0.729660\pi$
$307$	1.58233	−	1.58233i	0.0903081	−	0.0903081i	0.750818	+	0.660510i	$0.229660\pi$
$308$	−24.2551	−	10.0468i	−1.38206	−	0.572468i
$309$	−3.40805	+	17.1334i	−0.193877	+	0.974685i
$310$	−0.0809686	+	0.0711099i	−0.00459871	+	0.00403877i
$311$	−3.10147	−	4.64168i	−0.175868	−	0.263205i	0.733055	−	0.680170i	$-0.238094\pi$
$311$	−3.10147	−	4.64168i	−0.175868	−	0.263205i	−0.908923	+	0.416964i	$0.863094\pi$
$312$	−2.95711	+	4.42562i	−0.167413	+	0.250552i
$313$	29.5110	−	5.87011i	1.66806	−	0.331798i	0.731378	−	0.681973i	$-0.238878\pi$
$313$	29.5110	−	5.87011i	1.66806	−	0.331798i	0.936685	+	0.350174i	$0.113878\pi$
$314$	−2.60425	−	1.07872i	−0.146966	−	0.0608754i
$315$	−0.623362	+	1.26633i	−0.0351225	+	0.0713497i
$316$	8.02433	+	5.36168i	0.451404	+	0.301618i
$317$	−8.99537	−	6.01051i	−0.505230	−	0.337584i	0.276693	−	0.960958i	$-0.410761\pi$
$317$	−8.99537	−	6.01051i	−0.505230	−	0.337584i	−0.781924	+	0.623374i	$0.785761\pi$
$318$	−19.2613	−	3.83131i	−1.08012	−	0.214849i
$319$	11.6111	−	11.6111i	0.650097	−	0.650097i
$320$	1.11942	+	1.93569i	0.0625773	+	0.108209i
$321$	−8.33398	−	20.1200i	−0.465157	−	1.12299i
$322$	2.13423	+	2.13423i	0.118936	+	0.118936i
$323$	3.18303	+	0.381989i	0.177109	+	0.0212545i
$324$		−	8.61527i		−	0.478626i
$325$	−7.82594	+	13.5997i	−0.434105	+	0.754377i
$326$	−14.7782	−	2.93957i	−0.818491	−	0.162808i
$327$			3.11839i			0.172448i
$328$	−0.271913	+	1.36700i	−0.0150139	+	0.0754799i
$329$	1.90106	+	9.55727i	0.104809	+	0.526909i
$330$	19.2635	−	2.55008i	1.06042	−	0.140377i
$331$	8.07529	−	19.4955i	0.443858	−	1.07157i	−0.530725	−	0.847544i	$-0.678080\pi$
$331$	8.07529	−	19.4955i	0.443858	−	1.07157i	0.974583	−	0.224025i	$-0.0719197\pi$
$332$	−15.6672	+	6.48955i	−0.859847	+	0.356160i
$333$	0.0529501	+	0.266198i	0.00290165	+	0.0145876i
$334$	20.5303	−	4.08374i	1.12337	−	0.223452i
$335$	−19.3621	+	11.1971i	−1.05786	+	0.611765i
$336$	−6.14557	−	6.14557i	−0.335268	−	0.335268i
$337$	14.9910	+	22.4356i	0.816610	+	1.22214i	0.972161	+	0.234315i	$0.0752849\pi$
$337$	14.9910	+	22.4356i	0.816610	+	1.22214i	−0.155551	+	0.987828i	$0.549715\pi$
$338$	1.20625	−	2.91214i	0.0656113	−	0.158400i
$339$	−15.9731			−0.867539
$340$	−0.112263	−	9.21886i	−0.00608830	−	0.499963i
$341$	0.246913			0.0133711
$342$	0.0366538	−	0.0884901i	0.00198201	−	0.00478500i
$343$	−34.8930	−	52.2210i	−1.88404	−	2.81967i
$344$	−1.95852	−	1.95852i	−0.105597	−	0.105597i
$345$	−2.15825	−	0.576651i	−0.116196	−	0.0310458i
$346$	3.79677	−	0.755225i	0.204116	−	0.0406012i
$347$	5.93981	+	29.8614i	0.318866	+	1.60305i	0.724676	+	0.689089i	$0.241989\pi$
$347$	5.93981	+	29.8614i	0.318866	+	1.60305i	−0.405811	+	0.913957i	$0.633011\pi$
$348$	5.02220	−	2.08026i	0.269218	−	0.111514i
$349$	6.97374	−	16.8361i	0.373296	−	0.901216i	−0.619891	−	0.784688i	$-0.712823\pi$
$349$	6.97374	−	16.8361i	0.373296	−	0.901216i	0.993187	−	0.116528i	$-0.0371766\pi$
$350$	−19.2868	−	16.8654i	−1.03092	−	0.901493i
$351$	−3.24311	−	16.3042i	−0.173104	−	0.870255i
$352$	0.999543	−	5.02504i	0.0532758	−	0.267836i
$353$			14.1949i			0.755516i	0.925904	+	0.377758i	$0.123305\pi$
$353$			14.1949i			0.755516i	−0.925904	+	0.377758i	$0.876695\pi$
$354$	−4.96712	−	0.988021i	−0.263999	−	0.0525127i
$355$	−7.61199	+	15.4634i	−0.404003	+	0.820713i
$356$			7.17629i			0.380343i
$357$	9.67081	+	34.5049i	0.511833	+	1.82619i
$358$	−7.98315	−	7.98315i	−0.421922	−	0.421922i
$359$	−2.50484	−	6.04721i	−0.132200	−	0.319159i	0.843893	−	0.536511i	$-0.180258\pi$
$359$	−2.50484	−	6.04721i	−0.132200	−	0.319159i	−0.976093	+	0.217352i	$0.930258\pi$
$360$	−0.266115	−	0.0711017i	−0.0140255	−	0.00374739i
$361$	13.0075	−	13.0075i	0.684607	−	0.684607i
$362$	−21.4586	−	4.26838i	−1.12784	−	0.224341i
$363$	−21.5068	−	14.3704i	−1.12881	−	0.754250i
$364$	−13.3703	−	8.93372i	−0.700792	−	0.468254i
$365$	−14.3901	−	7.08367i	−0.753215	−	0.370776i
$366$	−15.4592	−	6.40343i	−0.808068	−	0.334713i
$367$	−19.8111	+	3.94067i	−1.03413	+	0.205701i	−0.682842	−	0.730567i	$-0.739256\pi$
$367$	−19.8111	+	3.94067i	−1.03413	+	0.205701i	−0.351288	+	0.936268i	$0.614256\pi$
$368$	−0.327245	+	0.489757i	−0.0170588	+	0.0255304i
$369$	−0.0953874	−	0.142757i	−0.00496567	−	0.00743165i
$370$	−4.91640	−	0.318713i	−0.255592	−	0.0165691i
$371$	11.5748	−	58.1902i	0.600932	−	3.02109i
$372$	0.0755179	+	0.0312805i	0.00391542	+	0.00162182i
$373$	−11.2360	+	11.2360i	−0.581778	+	0.581778i	−0.935391	−	0.353614i	$-0.884953\pi$
$373$	−11.2360	+	11.2360i	−0.581778	+	0.581778i	0.353614	+	0.935391i	$0.384953\pi$
$374$	−13.7455	+	16.0410i	−0.710763	+	0.829460i
$375$	18.6067	+	3.65968i	0.960845	+	0.188985i
$376$	−1.75693	+	0.727743i	−0.0906066	+	0.0375305i
$377$	8.36261	−	5.58771i	0.430696	−	0.287782i
$378$	27.1441			1.39614
$379$	14.5976	−	9.75378i	0.749827	−	0.501018i	−0.120973	−	0.992656i	$-0.538602\pi$
$379$	14.5976	−	9.75378i	0.749827	−	0.501018i	0.870800	+	0.491638i	$0.163602\pi$
$380$	1.38010	+	1.05742i	0.0707977	+	0.0542447i
$381$	−1.29312	+	1.93529i	−0.0662487	+	0.0991481i
$382$	6.31786	+	15.2527i	0.323250	+	0.780394i
$383$	13.4459	+	32.4612i	0.687052	+	1.65869i	0.750638	+	0.660714i	$0.229746\pi$
$383$	13.4459	+	32.4612i	0.687052	+	1.65869i	−0.0635858	+	0.997976i	$0.520254\pi$
$384$	0.942312	−	1.41027i	0.0480872	−	0.0719676i
$385$	7.70404	+	58.1969i	0.392634	+	2.96599i
$386$	2.90460	−	1.94079i	0.147840	−	0.0987837i
$387$	0.341194			0.0173439
$388$	−1.50604	+	1.00630i	−0.0764574	+	0.0510872i
$389$	−7.77876	+	3.22207i	−0.394399	+	0.163365i	−0.571064	−	0.820906i	$-0.693469\pi$
$389$	−7.77876	+	3.22207i	−0.394399	+	0.163365i	0.176665	+	0.984271i	$0.443469\pi$
$390$	11.8769	+	0.769936i	0.601409	+	0.0389872i
$391$	2.16570	−	1.09905i	0.109524	−	0.0555812i
$392$	13.6166	−	13.6166i	0.687744	−	0.687744i
$393$	1.04832	+	0.434227i	0.0528806	+	0.0219038i
$394$	−0.974422	+	4.89875i	−0.0490907	+	0.246796i
$395$	1.39601	−	21.5346i	0.0702409	−	1.08352i
$396$	0.350641	+	0.524771i	0.0176204	+	0.0263708i
$397$	−5.78289	+	8.65471i	−0.290235	+	0.434367i	−0.947721	−	0.319099i	$-0.896620\pi$
$397$	−5.78289	+	8.65471i	−0.290235	+	0.434367i	0.657486	+	0.753466i	$0.271620\pi$
$398$	−11.5172	+	2.29091i	−0.577304	+	0.114833i
$399$	−6.24330	−	2.58606i	−0.312556	−	0.129465i
$400$	2.49381	−	4.33369i	0.124691	−	0.216685i
$401$	−13.5931	−	9.08260i	−0.678805	−	0.453563i	0.167774	−	0.985825i	$-0.446342\pi$
$401$	−13.5931	−	9.08260i	−0.678805	−	0.453563i	−0.846580	+	0.532262i	$0.821342\pi$
$402$	14.1064	+	9.42562i	0.703565	+	0.470107i
$403$	0.148329	+	0.0295044i	0.00738877	+	0.00146972i
$404$	−2.54257	+	2.54257i	−0.126497	+	0.126497i
$405$	−16.6765	+	9.64407i	−0.828663	+	0.479218i
$406$	6.28469	+	15.1726i	0.311904	+	0.753003i
$407$	7.98222	+	7.98222i	0.395664	+	0.395664i
$408$	−6.23621	+	3.16474i	−0.308738	+	0.156678i
$409$			5.87770i			0.290634i	0.989385	+	0.145317i	$0.0464201\pi$
$409$			5.87770i			0.290634i	−0.989385	+	0.145317i	$0.953580\pi$
$410$	2.95047	−	1.00390i	0.145713	−	0.0495791i
$411$	−31.4296	−	6.25174i	−1.55031	−	0.308376i
$412$		−	10.2994i		−	0.507417i
$413$	2.98491	−	15.0062i	0.146878	−	0.738405i
$414$	−0.0141556	−	0.0711650i	−0.000695710	−	0.00349757i
$415$	30.0998	+	23.0623i	1.47754	+	1.13208i
$416$	1.20091	−	2.89926i	0.0588797	−	0.142148i
$417$	−20.9426	+	8.67472i	−1.02557	+	0.424803i
$418$	−0.777183	−	3.90716i	−0.0380132	−	0.191105i
$419$	21.6750	−	4.31142i	1.05889	−	0.210627i	0.365222	−	0.930920i	$-0.380993\pi$
$419$	21.6750	−	4.31142i	1.05889	−	0.210627i	0.693669	+	0.720294i	$0.255993\pi$
$420$	−5.01648	+	18.7754i	−0.244779	+	0.916145i
$421$	−11.7321	−	11.7321i	−0.571789	−	0.571789i	0.360839	−	0.932628i	$-0.382490\pi$
$421$	−11.7321	−	11.7321i	−0.571789	−	0.571789i	−0.932628	+	0.360839i	$0.882490\pi$
$422$	6.28170	+	9.40123i	0.305788	+	0.457645i
$423$	0.0896471	−	0.216427i	0.00435879	−	0.0105231i
$424$	11.5786			0.562305
$425$	−17.7192	+	10.5371i	−0.859508	+	0.511122i
$426$	13.0735			0.633415
$427$	19.3454	−	46.7039i	0.936190	−	2.26016i
$428$	7.13338	+	10.6759i	0.344805	+	0.516037i
$429$	−19.2832	−	19.2832i	−0.931001	−	0.931001i
$430$	−1.59870	+	5.98350i	−0.0770960	+	0.288550i
$431$	−3.13334	+	0.623260i	−0.150928	+	0.0300214i	−0.269976	−	0.962867i	$-0.587016\pi$
$431$	−3.13334	+	0.623260i	−0.150928	+	0.0300214i	0.119048	+	0.992888i	$0.462016\pi$
$432$	1.03345	+	5.19550i	0.0497219	+	0.249969i
$433$	25.7010	−	10.6457i	1.23511	−	0.511600i	0.332928	−	0.942952i	$-0.391963\pi$
$433$	25.7010	−	10.6457i	1.23511	−	0.511600i	0.902184	+	0.431352i	$0.141963\pi$
$434$	−0.0945016	+	0.228147i	−0.00453622	+	0.0109514i
$435$	−9.64869	−	7.39276i	−0.462619	−	0.354456i
$436$	−0.358683	−	1.80322i	−0.0171778	−	0.0863586i
$437$	−0.0893494	+	0.449190i	−0.00427416	+	0.0214877i
$438$			12.1661i			0.581320i
$439$	−26.9898	−	5.36860i	−1.28815	−	0.256230i	−0.496948	−	0.867780i	$-0.665546\pi$
$439$	−26.9898	−	5.36860i	−1.28815	−	0.256230i	−0.791205	+	0.611551i	$0.790546\pi$
$440$	−10.8458	+	3.69031i	−0.517055	+	0.175928i
$441$			2.37215i			0.112960i
$442$	−10.1741	+	7.99384i	−0.483935	+	0.380228i
$443$	−7.62236	−	7.62236i	−0.362149	−	0.362149i	0.502454	−	0.864604i	$-0.332431\pi$
$443$	−7.62236	−	7.62236i	−0.362149	−	0.362149i	−0.864604	+	0.502454i	$0.832431\pi$
$444$	1.43011	+	3.45259i	0.0678699	+	0.163852i
$445$	13.8911	−	8.03326i	0.658501	−	0.380813i
$446$	8.57861	−	8.57861i	0.406209	−	0.406209i
$447$	12.5536	+	2.49707i	0.593767	+	0.118108i
$448$	4.26057	+	2.84682i	0.201293	+	0.134500i
$449$	13.7829	+	9.20944i	0.650456	+	0.434621i	0.836534	−	0.547914i	$-0.184578\pi$
$449$	13.7829	+	9.20944i	0.650456	+	0.434621i	−0.186079	+	0.982535i	$0.559578\pi$
$450$	0.160263	+	0.594710i	0.00755485	+	0.0280349i
$451$	−6.59744	−	2.73275i	−0.310661	−	0.128680i
$452$	9.23648	−	1.83725i	0.434448	−	0.0864170i
$453$	−5.14509	+	7.70017i	−0.241737	+	0.361786i
$454$	3.66685	+	5.48783i	0.172094	+	0.257557i
$455$	−2.32605	+	35.8813i	−0.109047	+	1.68214i
$456$	0.257284	−	1.29346i	0.0120484	−	0.0605716i
$457$	−10.6320	−	4.40392i	−0.497344	−	0.206007i	0.119889	−	0.992787i	$-0.461746\pi$
$457$	−10.6320	−	4.40392i	−0.497344	−	0.206007i	−0.617233	+	0.786781i	$0.711746\pi$
$458$	6.26850	−	6.26850i	0.292908	−	0.292908i
$459$	6.78312	−	20.7613i	0.316609	−	0.969054i
$460$	1.31434	+	0.0852042i	0.0612816	+	0.00397267i
$461$	5.56273	−	2.30416i	0.259082	−	0.107315i	−0.249362	−	0.968410i	$-0.580221\pi$
$461$	5.56273	−	2.30416i	0.259082	−	0.107315i	0.508444	+	0.861095i	$0.330221\pi$
$462$	37.0245	−	24.7390i	1.72254	−	1.15096i
$463$	16.9129			0.786008			0.393004	−	0.919537i	$-0.371436\pi$
$463$	16.9129			0.786008			0.393004	+	0.919537i	$0.371436\pi$
$464$	−2.66483	+	1.78058i	−0.123712	+	0.0826614i
$465$	−0.0239865	−	0.181195i	−0.00111235	−	0.00840273i
$466$	6.06414	−	9.07563i	0.280916	−	0.420420i
$467$	−6.72155	−	16.2273i	−0.311036	−	0.750908i	−0.999667	−	0.0257959i	$-0.991788\pi$
$467$	−6.72155	−	16.2273i	−0.311036	−	0.750908i	0.688631	−	0.725112i	$-0.258212\pi$
$468$	0.147935	+	0.357146i	0.00683828	+	0.0165091i
$469$	−28.4757	+	42.6170i	−1.31489	+	1.96787i
$470$	3.37542	+	2.58623i	0.155697	+	0.119294i
$471$	3.97530	−	2.65621i	0.183172	−	0.122392i
$472$	2.98589			0.137437
$473$	11.7993	−	7.88403i	0.542532	−	0.362508i
$474$	−15.1228	+	6.26409i	−0.694615	+	0.287719i
$475$	0.501941	−	3.85515i	0.0230306	−	0.176886i
$476$	−9.56099	−	18.8402i	−0.438227	−	0.863540i
$477$	−1.00855	+	1.00855i	−0.0461784	+	0.0461784i
$478$	−2.16411	−	0.896403i	−0.0989840	−	0.0410005i
$479$	−0.867654	+	4.36199i	−0.0396441	+	0.199304i	−0.995532	−	0.0944285i	$-0.969898\pi$
$479$	−0.867654	+	4.36199i	−0.0396441	+	0.199304i	0.955888	+	0.293733i	$0.0948976\pi$
$480$	−3.78469	−	0.245348i	−0.172747	−	0.0111985i
$481$	3.84135	+	5.74899i	0.175151	+	0.262132i
$482$	7.69227	−	11.5123i	0.350373	−	0.524371i
$483$	−5.02095	+	0.998728i	−0.228461	+	0.0454437i
$484$	14.0893	+	5.83597i	0.640422	+	0.265272i
$485$	3.63377	+	1.78875i	0.165001	+	0.0812231i
$486$	−1.06375	−	0.710772i	−0.0482525	−	0.0322413i
$487$	8.04454	+	5.37519i	0.364533	+	0.243573i	0.724324	−	0.689460i	$-0.242152\pi$
$487$	8.04454	+	5.37519i	0.364533	+	0.243573i	−0.359791	+	0.933033i	$0.617152\pi$
$488$	9.67589	+	1.92465i	0.438007	+	0.0871250i
$489$	18.0713	−	18.0713i	0.817213	−	0.817213i
$490$	−41.6003	−	11.1149i	−1.87931	−	0.502122i
$491$	14.6501	+	35.3685i	0.661150	+	1.59616i	0.796004	+	0.605292i	$0.206944\pi$
$491$	14.6501	+	35.3685i	0.661150	+	1.59616i	−0.134854	+	0.990866i	$0.543056\pi$
$492$	−1.67161	−	1.67161i	−0.0753620	−	0.0753620i
$493$	13.1753	−	1.01535i	0.593387	−	0.0457292i
$494$		−	2.44002i		−	0.109782i
$495$	0.623283	−	1.26617i	0.0280145	−	0.0569102i
$496$	−0.0472664	−	0.00940187i	−0.00212232	−	0.000422156i
$497$			39.4965i			1.77166i
$498$	5.61134	−	28.2101i	0.251450	−	1.26413i
$499$	0.578259	+	2.90710i	0.0258864	+	0.130140i	0.991568	−	0.129591i	$-0.0413663\pi$
$499$	0.578259	+	2.90710i	0.0258864	+	0.130140i	−0.965681	+	0.259730i	$0.916366\pi$
$500$	−11.1803	+	0.0239488i	−0.499999	+	0.00107102i
$501$	−13.5868	+	32.8015i	−0.607014	+	1.46546i
$502$	−1.27940	+	0.529945i	−0.0571025	+	0.0236526i
$503$	3.67885	+	18.4949i	0.164032	+	0.824645i	0.971921	+	0.235309i	$0.0756103\pi$
$503$	3.67885	+	18.4949i	0.164032	+	0.824645i	−0.807889	+	0.589335i	$0.799390\pi$
$504$	−0.619089	+	0.123144i	−0.0275764	+	0.00548529i
$505$	7.76782	+	2.07544i	0.345663	+	0.0923558i
$506$	−2.13396	−	2.13396i	−0.0948659	−	0.0948659i
$507$	2.97024	+	4.44528i	0.131913	+	0.197422i
$508$	0.525151	−	1.26783i	0.0232998	−	0.0562507i
$509$	5.30040			0.234936			0.117468	−	0.993077i	$-0.462522\pi$
$509$	5.30040			0.234936			0.117468	+	0.993077i	$0.462522\pi$
$510$	13.1069	+	8.52873i	0.580382	+	0.377658i
$511$	−36.7551			−1.62595
$512$	−0.382683	+	0.923880i	−0.0169124	+	0.0408301i
$513$	2.28831	+	3.42469i	0.101031	+	0.151204i
$514$	−13.8117	−	13.8117i	−0.609210	−	0.609210i
$515$	−19.9366	+	11.5294i	−0.878510	+	0.508044i
$516$	4.60759	−	0.916506i	0.202838	−	0.0403469i
$517$	−1.90082	−	9.55605i	−0.0835978	−	0.420274i
$518$	−10.4306	+	4.32050i	−0.458295	+	0.189832i
$519$	−2.51268	+	6.06614i	−0.110294	+	0.266274i
$520$	−6.95641	+	0.920882i	−0.305059	+	0.0403833i
$521$	3.13756	+	15.7736i	0.137459	+	0.691053i	0.986635	+	0.162944i	$0.0520989\pi$
$521$	3.13756	+	15.7736i	0.137459	+	0.691053i	−0.849176	+	0.528109i	$0.822901\pi$
$522$	0.0770223	−	0.387217i	0.00337118	−	0.0169480i
$523$			13.3777i			0.584968i	0.956270	+	0.292484i	$0.0944818\pi$
$523$			13.3777i			0.584968i	−0.956270	+	0.292484i	$0.905518\pi$
$524$	−0.656138	−	0.130514i	−0.0286635	−	0.00570153i
$525$	41.9589	−	11.3071i	1.83124	−	0.493482i
$526$			12.6760i			0.552699i
$527$	0.150884	+	0.129293i	0.00657262	+	0.00563207i
$528$	6.14479	+	6.14479i	0.267417	+	0.267417i
$529$	−8.66895	−	20.9287i	−0.376911	−	0.909943i
$530$	−12.9612	−	22.4126i	−0.563001	−	0.973540i
$531$	−0.260086	+	0.260086i	−0.0112868	+	0.0112868i
$532$	3.90766	+	0.777282i	0.169418	+	0.0336994i
$533$	−3.63674	−	2.42999i	−0.157525	−	0.105255i
$534$	−10.1205	−	6.76231i	−0.437957	−	0.292634i
$535$	12.6800	−	25.7588i	0.548203	−	1.11365i
$536$	−9.24124	−	3.82785i	−0.399161	−	0.165338i
$537$	18.7810	−	3.73578i	0.810461	−	0.161211i
$538$	1.95703	−	2.92890i	0.0843734	−	0.126274i
$539$	54.8137	+	82.0346i	2.36099	+	3.53348i
$540$	8.90004	−	7.81637i	0.382997	−	0.336363i
$541$	2.60042	−	13.0732i	0.111801	−	0.562060i	−0.883760	−	0.467940i	$-0.844996\pi$
$541$	2.60042	−	13.0732i	0.111801	−	0.562060i	0.995561	−	0.0941200i	$-0.0300037\pi$
$542$	15.4217	+	6.38787i	0.662418	+	0.274383i
$543$	26.2403	−	26.2403i	1.12608	−	1.12608i
$544$	3.24209	−	2.54732i	0.139004	−	0.109215i
$545$	−3.08897	+	2.71285i	−0.132317	+	0.116206i
$546$	25.1979	−	10.4373i	1.07837	−	0.446676i
$547$	23.3754	−	15.6189i	0.999459	−	0.667817i	0.0556988	−	0.998448i	$-0.482261\pi$
$547$	23.3754	−	15.6189i	0.999459	−	0.667817i	0.943760	+	0.330630i	$0.107261\pi$
$548$	18.8934			0.807085
$549$	−1.01047	+	0.675171i	−0.0431256	+	0.0288156i
$550$	19.2843	+	16.8632i	0.822286	+	0.719051i
$551$	−1.38447	+	2.07201i	−0.0589804	+	0.0882704i
$552$	−0.382323	−	0.923009i	−0.0162727	−	0.0392859i
$553$	−18.9244	−	45.6876i	−0.804749	−	1.94284i
$554$	16.7781	−	25.1103i	0.712835	−	1.06683i
$555$	5.08226	−	6.63313i	0.215730	−	0.281561i
$556$	11.1124	−	7.42504i	0.471269	−	0.314892i
$557$	−46.0957			−1.95314			−0.976568	−	0.215210i	$-0.930956\pi$
$557$	−46.0957			−1.95314			−0.976568	+	0.215210i	$0.930956\pi$
$558$	0.00493609	−	0.00329819i	0.000208961	−	0.000139623i
$559$	8.03029	−	3.32626i	0.339645	−	0.140686i
$560$	0.741221	−	11.4339i	0.0313223	−	0.483172i
$561$	−9.66958	−	34.5005i	−0.408250	−	1.45661i
$562$	−7.61557	+	7.61557i	−0.321244	+	0.321244i
$563$	−25.0553	−	10.3783i	−1.05596	−	0.437391i	−0.213942	−	0.976846i	$-0.568630\pi$
$563$	−25.0553	−	10.3783i	−1.05596	−	0.437391i	−0.842014	+	0.539455i	$0.818630\pi$
$564$	0.629260	−	3.16350i	0.0264966	−	0.133208i
$565$	−13.8958	−	15.8223i	−0.584602	−	0.665651i
$566$	13.9854	+	20.9307i	0.587851	+	0.879782i
$567$	−24.5261	+	36.7059i	−1.03000	+	1.54150i
$568$	−7.55981	+	1.50374i	−0.317203	+	0.0630955i
$569$	−26.6015	−	11.0187i	−1.11519	−	0.461928i	−0.252470	−	0.967605i	$-0.581243\pi$
$569$	−26.6015	−	11.0187i	−1.11519	−	0.461928i	−0.862723	+	0.505677i	$0.831243\pi$
$570$	−2.79174	+	0.949892i	−0.116933	+	0.0397866i
$571$	22.2050	+	14.8369i	0.929251	+	0.620906i	0.925361	−	0.379087i	$-0.123762\pi$
$571$	22.2050	+	14.8369i	0.929251	+	0.620906i	0.00389002	+	0.999992i	$0.498762\pi$
$572$	13.3686	+	8.93258i	0.558967	+	0.373490i
$573$	−27.4638	−	5.46288i	−1.14731	−	0.228215i
$574$	5.05010	−	5.05010i	0.210787	−	0.210787i
$575$	−1.30637	−	2.63954i	−0.0544793	−	0.110077i
$576$	−0.0471409	−	0.113808i	−0.00196420	−	0.00474201i
$577$	−25.5595	−	25.5595i	−1.06406	−	1.06406i	−0.997803	−	0.0662536i	$-0.978895\pi$
$577$	−25.5595	−	25.5595i	−1.06406	−	1.06406i	−0.0662536	−	0.997803i	$-0.521105\pi$
$578$	−16.7993	+	2.60473i	−0.698757	+	0.108343i
$579$			5.92510i			0.246239i
$580$	6.42971	+	3.16508i	0.266979	+	0.131423i
$581$	85.2256	+	16.9524i	3.53575	+	0.703305i
$582$		−	3.07217i		−	0.127345i
$583$	−11.5733	+	58.1828i	−0.479316	+	2.40969i
$584$	−1.39937	−	7.03510i	−0.0579063	−	0.291115i
$585$	0.525724	−	0.686151i	0.0217360	−	0.0283688i
$586$	−3.37237	+	8.14161i	−0.139311	+	0.336327i
$587$	−8.01661	+	3.32059i	−0.330881	+	0.137055i	−0.541938	−	0.840418i	$-0.682309\pi$
$587$	−8.01661	+	3.32059i	−0.330881	+	0.137055i	0.211057	+	0.977474i	$0.432309\pi$
$588$	6.37201	+	32.0343i	0.262777	+	1.32107i
$589$	−0.0367514	+	0.00731031i	−0.00151432	+	0.000301216i
$590$	−3.34246	−	5.77978i	−0.137607	−	0.237950i
$591$	−5.99035	−	5.99035i	−0.246410	−	0.246410i
$592$	−1.22409	−	1.83197i	−0.0503096	−	0.0752937i
$593$	−3.84573	+	9.28441i	−0.157925	+	0.381265i	−0.982961	−	0.183816i	$-0.941155\pi$
$593$	−3.84573	+	9.28441i	−0.157925	+	0.381265i	0.825036	+	0.565081i	$0.191155\pi$
$594$	−27.1406			−1.11359
$595$	−25.7661	+	39.5972i	−1.05631	+	1.62333i
$596$	−7.54640			−0.309112
$597$	7.62198	−	18.4011i	0.311947	−	0.753106i
$598$	−1.02694	−	1.53693i	−0.0419948	−	0.0628496i
$599$	−27.5213	−	27.5213i	−1.12449	−	1.12449i	−0.991058	−	0.133434i	$-0.957400\pi$
$599$	−27.5213	−	27.5213i	−1.12449	−	1.12449i	−0.133434	−	0.991058i	$-0.542600\pi$
$600$	3.76173	+	7.60064i	0.153572	+	0.310295i
$601$	−46.8532	+	9.31969i	−1.91118	+	0.380158i	−0.999526	−	0.0307923i	$-0.990197\pi$
$601$	−46.8532	+	9.31969i	−1.91118	+	0.380158i	−0.911658	+	0.410950i	$0.865197\pi$
$602$	2.76886	+	13.9200i	0.112850	+	0.567336i
$603$	1.13838	−	0.471534i	0.0463585	−	0.0192023i
$604$	2.08948	−	5.04445i	0.0850197	−	0.205256i
$605$	−4.47513	−	33.8054i	−0.181940	−	1.37439i
$606$	−1.18981	−	5.98160i	−0.0483329	−	0.242986i
$607$	3.56519	−	17.9234i	0.144706	−	0.727488i	−0.838487	−	0.544922i	$-0.816559\pi$
$607$	3.56519	−	17.9234i	0.144706	−	0.727488i	0.983193	−	0.182567i	$-0.0584406\pi$
$608$			0.777538i			0.0315333i
$609$	−27.3196	−	5.43420i	−1.10705	−	0.220205i
$610$	−7.10581	−	20.8840i	−0.287706	−	0.845570i
$611$		−	5.96775i		−	0.241429i
$612$	−0.0605184	+	0.504287i	−0.00244631	+	0.0203846i
$613$	13.0949	+	13.0949i	0.528900	+	0.528900i	0.920244	−	0.391345i	$-0.127990\pi$
$613$	13.0949	+	13.0949i	0.528900	+	0.528900i	−0.391345	+	0.920244i	$0.627990\pi$
$614$	−0.856349	−	2.06741i	−0.0345594	−	0.0834338i
$615$	−1.36450	+	5.10695i	−0.0550218	+	0.205932i
$616$	−18.5640	+	18.5640i	−0.747965	+	0.747965i
$617$	17.8039	+	3.54142i	0.716759	+	0.142572i	0.539980	−	0.841678i	$-0.318432\pi$
$617$	17.8039	+	3.54142i	0.716759	+	0.142572i	0.176780	+	0.984250i	$0.443432\pi$
$618$	14.5250	+	9.70529i	0.584281	+	0.390404i
$619$	0.888855	+	0.593914i	0.0357261	+	0.0238714i	0.573305	−	0.819342i	$-0.305661\pi$
$619$	0.888855	+	0.593914i	0.0357261	+	0.0238714i	−0.537579	+	0.843213i	$0.680661\pi$
$620$	0.0347116	+	0.102018i	0.00139405	+	0.00409713i
$621$	2.88273	+	1.19406i	0.115680	+	0.0479162i
$622$	−5.47523	+	1.08909i	−0.219537	+	0.0436686i
$623$	20.4296	−	30.5751i	0.818495	−	1.22496i
$624$	2.95711	+	4.42562i	0.118379	+	0.177167i
$625$	12.5618	+	21.6148i	0.502471	+	0.864594i
$626$	5.87011	−	29.5110i	0.234617	−	1.17950i
$627$	6.24250	+	2.58573i	0.249301	+	0.103264i
$628$	−1.99321	+	1.99321i	−0.0795376	+	0.0795376i
$629$	0.698020	+	9.05757i	0.0278319	+	0.361149i
$630$	0.931388	+	1.06052i	0.0371074	+	0.0422520i
$631$	20.4042	−	8.45171i	0.812279	−	0.336457i	0.0624162	−	0.998050i	$-0.480119\pi$
$631$	20.4042	−	8.45171i	0.812279	−	0.336457i	0.749863	+	0.661593i	$0.230119\pi$
$632$	8.02433	−	5.36168i	0.319191	−	0.213276i
$633$	−19.1776			−0.762241
$634$	−8.99537	+	6.01051i	−0.357252	+	0.238708i
$635$	−3.04199	+	0.402695i	−0.120718	+	0.0159805i
$636$	−10.9106	+	16.3289i	−0.432635	+	0.647484i
$637$	23.1258	+	55.8306i	0.916277	+	2.21209i
$638$	−6.28389	−	15.1706i	−0.248781	−	0.600612i
$639$	0.527514	−	0.789480i	0.0208681	−	0.0312314i
$640$	2.21673	−	0.293448i	0.0876239	−	0.0115996i
$641$	21.9897	−	14.6930i	0.868539	−	0.580339i	−0.0395024	−	0.999219i	$-0.512577\pi$
$641$	21.9897	−	14.6930i	0.868539	−	0.580339i	0.908041	+	0.418880i	$0.137577\pi$
$642$	−21.7777			−0.859498
$643$	28.7138	−	19.1860i	1.13236	−	0.756620i	0.159315	−	0.987228i	$-0.449071\pi$
$643$	28.7138	−	19.1860i	1.13236	−	0.756620i	0.973047	+	0.230608i	$0.0740714\pi$
$644$	2.78850	−	1.15504i	0.109882	−	0.0455148i
$645$	−6.93189	−	7.89292i	−0.272943	−	0.310784i
$646$	1.57101	−	2.79456i	0.0618104	−	0.109950i
$647$	8.93147	−	8.93147i	0.351132	−	0.351132i	−0.509399	−	0.860531i	$-0.670132\pi$
$647$	8.93147	−	8.93147i	0.351132	−	0.351132i	0.860531	+	0.509399i	$0.170132\pi$
$648$	−7.95947	−	3.29692i	−0.312678	−	0.129515i
$649$	−2.98453	+	15.0042i	−0.117153	+	0.588968i
$650$	9.56966	+	12.4346i	0.375353	+	0.487726i
$651$	−0.232699	−	0.348259i	−0.00912019	−	0.0136493i
$652$	−8.37120	+	12.5284i	−0.327842	+	0.490649i
$653$	−23.3807	+	4.65071i	−0.914957	+	0.181996i	−0.630046	−	0.776558i	$-0.716964\pi$
$653$	−23.3807	+	4.65071i	−0.914957	+	0.181996i	−0.284911	+	0.958554i	$0.591964\pi$
$654$	2.88102	+	1.19336i	0.112657	+	0.0466640i
$655$	0.481856	+	1.41618i	0.0188277	+	0.0553347i
$656$	1.15889	+	0.774342i	0.0452469	+	0.0302330i
$657$	0.734685	+	0.490901i	0.0286628	+	0.0191519i
$658$	9.55727	+	1.90106i	0.372581	+	0.0741110i
$659$	14.0494	−	14.0494i	0.547286	−	0.547286i	−0.378369	−	0.925655i	$-0.623515\pi$
$659$	14.0494	−	14.0494i	0.547286	−	0.547286i	0.925655	+	0.378369i	$0.123515\pi$
$660$	5.01584	−	18.7730i	0.195241	−	0.730738i
$661$	−8.60461	−	20.7734i	−0.334681	−	0.807990i	−0.998208	−	0.0598384i	$-0.980941\pi$
$661$	−8.60461	−	20.7734i	−0.334681	−	0.807990i	0.663528	−	0.748152i	$-0.269059\pi$
$662$	−14.9212	−	14.9212i	−0.579929	−	0.579929i
$663$	−1.68625	−	21.8810i	−0.0654886	−	0.849787i
$664$			16.9580i			0.658098i
$665$	−2.86972	−	8.43413i	−0.111283	−	0.327061i
$666$	0.266198	+	0.0529501i	0.0103150	+	0.00205177i
$667$			1.88781i			0.0730962i
$668$	4.08374	−	20.5303i	0.158005	−	0.794343i
$669$	4.01443	+	20.1819i	0.155207	+	0.780277i
$670$	2.93526	+	22.1732i	0.113399	+	0.856624i
$671$	−19.3429	+	46.6980i	−0.746726	+	1.80276i
$672$	−8.02957	+	3.32596i	−0.309747	+	0.128302i
$673$	−2.74030	−	13.7764i	−0.105631	−	0.531043i	−0.996976	−	0.0777163i	$-0.975237\pi$
$673$	−2.74030	−	13.7764i	−0.105631	−	0.531043i	0.891345	−	0.453327i	$-0.149763\pi$
$674$	26.4646	−	5.26413i	1.01938	−	0.202767i
$675$	−25.0929	−	8.47796i	−0.965828	−	0.326317i
$676$	−2.22886	−	2.22886i	−0.0857253	−	0.0857253i
$677$	−21.5878	−	32.3085i	−0.829688	−	1.24172i	−0.967906	−	0.251314i	$-0.919137\pi$
$677$	−21.5878	−	32.3085i	−0.829688	−	1.24172i	0.138218	−	0.990402i	$-0.455863\pi$
$678$	−6.11263	+	14.7572i	−0.234754	+	0.566747i
$679$	9.28133			0.356185
$680$	−8.56008	−	3.42419i	−0.328264	−	0.131312i
$681$	−11.1946			−0.428980
$682$	0.0944896	−	0.228118i	0.00361819	−	0.00873509i
$683$	−16.1461	−	24.1643i	−0.617812	−	0.924622i	−1.00000		0.000536757i	$-0.999829\pi$
$683$	−16.1461	−	24.1643i	−0.617812	−	0.924622i	0.382187	−	0.924085i	$-0.375171\pi$
$684$	−0.0677274	−	0.0677274i	−0.00258962	−	0.00258962i
$685$	−21.1496	−	36.5718i	−0.808083	−	1.39734i
$686$	−61.5989	+	12.2528i	−2.35186	+	0.467814i
$687$	2.93340	+	14.7472i	0.111916	+	0.562640i
$688$	−2.55893	+	1.05995i	−0.0975585	+	0.0404100i
$689$	−13.9049	+	33.5693i	−0.529734	+	1.27889i
$690$	−1.35868	+	1.77329i	−0.0517242	+	0.0675080i
$691$	4.61724	+	23.2124i	0.175648	+	0.883043i	0.963609	+	0.267317i	$0.0861370\pi$
$691$	4.61724	+	23.2124i	0.175648	+	0.883043i	−0.787961	+	0.615726i	$0.788863\pi$
$692$	0.755225	−	3.79677i	0.0287094	−	0.144332i
$693$		−	3.23404i		−	0.122851i
$694$	29.8614	+	5.93981i	1.13353	+	0.225472i
$695$	−26.8120	−	13.1984i	−1.01704	−	0.500644i
$696$		−	5.43599i		−	0.206051i
$697$	−2.60061	−	5.12459i	−0.0985052	−	0.194108i
$698$	−12.8858	−	12.8858i	−0.487735	−	0.487735i
$699$	7.08477	+	17.1042i	0.267971	+	0.646938i
$700$	−22.9623	+	11.3646i	−0.867894	+	0.429540i
$701$	−9.26238	+	9.26238i	−0.349835	+	0.349835i	−0.860048	−	0.510213i	$-0.829567\pi$
$701$	−9.26238	+	9.26238i	−0.349835	+	0.349835i	0.510213	+	0.860048i	$0.329567\pi$
$702$	−16.3042	−	3.24311i	−0.615363	−	0.122403i
$703$	−1.42443	−	0.951774i	−0.0537234	−	0.0358968i
$704$	−4.26003	−	2.84646i	−0.160556	−	0.107280i
$705$	−6.82798	+	2.32322i	−0.257157	+	0.0874977i
$706$	13.1143	+	5.43213i	0.493564	+	0.204441i
$707$	18.0710	−	3.59455i	0.679630	−	0.135187i
$708$	−2.81365	+	4.21092i	−0.105743	+	0.158256i
$709$	−2.56004	−	3.83137i	−0.0961444	−	0.143890i	0.780279	−	0.625432i	$-0.215077\pi$
$709$	−2.56004	−	3.83137i	−0.0961444	−	0.143890i	−0.876423	+	0.481541i	$0.840077\pi$
$710$	11.3734	+	12.9502i	0.426834	+	0.486011i
$711$	−0.231929	+	1.16599i	−0.00869804	+	0.0437280i
$712$	6.63003	+	2.74625i	0.248471	+	0.102920i
$713$	−0.0200723	+	0.0200723i	−0.000751715	+	0.000751715i
$714$	35.5792	+	4.26979i	1.33152	+	0.159793i
$715$	2.32576	−	35.8767i	0.0869784	−	1.34171i
$716$	−10.4305	+	4.32045i	−0.389806	+	0.161463i
$717$	3.30343	−	2.20728i	0.123369	−	0.0824326i
$718$	−6.54545			−0.244274
$719$	14.4691	−	9.66796i	0.539607	−	0.360554i	−0.255704	−	0.966755i	$-0.582307\pi$
$719$	14.4691	−	9.66796i	0.539607	−	0.360554i	0.795311	+	0.606201i	$0.207307\pi$
$720$	−0.167527	+	0.218649i	−0.00624337	+	0.00814857i
$721$	−29.3207	+	43.8815i	−1.09196	+	1.63423i
$722$	−7.03963	−	16.9952i	−0.261988	−	0.632495i
$723$	8.98693	+	21.6964i	0.334228	+	0.806897i
$724$	−12.1553	+	18.1917i	−0.451749	+	0.676090i
$725$	−1.07091	−	15.9890i	−0.0397725	−	0.593816i
$726$	−21.5068	+	14.3704i	−0.798193	+	0.533335i
$727$	−12.9759			−0.481250			−0.240625	−	0.970618i	$-0.577352\pi$
$727$	−12.9759			−0.481250			−0.240625	+	0.970618i	$0.577352\pi$
$728$	−13.3703	+	8.93372i	−0.495535	+	0.331106i
$729$	25.8832	−	10.7212i	0.958636	−	0.397080i
$730$	−12.0513	+	10.5840i	−0.446039	+	0.391730i
$731$	11.3387	+	1.36073i	0.419377	+	0.0503286i
$732$	−11.8320	+	11.8320i	−0.437323	+	0.437323i
$733$	34.8870	+	14.4507i	1.28858	+	0.533747i	0.918562	−	0.395277i	$-0.129352\pi$
$733$	34.8870	+	14.4507i	1.28858	+	0.533747i	0.370018	+	0.929025i	$0.379352\pi$
$734$	−3.94067	+	19.8111i	−0.145453	+	0.731240i
$735$	54.8755	−	48.1939i	2.02411	−	1.77766i
$736$	0.327245	+	0.489757i	0.0120624	+	0.0180527i
$737$	28.4721	−	42.6115i	1.04878	−	1.56962i
$738$	−0.168394	+	0.0334956i	−0.00619866	+	0.00123299i
$739$	−29.1539	−	12.0760i	−1.07244	−	0.444221i	−0.224592	−	0.974453i	$-0.572105\pi$
$739$	−29.1539	−	12.0760i	−1.07244	−	0.444221i	−0.847853	+	0.530232i	$0.822105\pi$
$740$	−2.17588	+	4.42020i	−0.0799869	+	0.162490i
$741$	3.44109	+	2.29926i	0.126412	+	0.0844656i
$742$	−49.3313	−	32.9621i	−1.81101	−	1.21008i
$743$	−7.22896	−	1.43793i	−0.265205	−	0.0527525i	0.0606967	−	0.998156i	$-0.480668\pi$
$743$	−7.22896	−	1.43793i	−0.265205	−	0.0527525i	−0.325901	+	0.945404i	$0.605668\pi$
$744$	0.0577989	−	0.0577989i	0.00211901	−	0.00211901i
$745$	8.44756	+	14.6075i	0.309495	+	0.535178i
$746$	6.08087	+	14.6805i	0.222637	+	0.537492i
$747$	−1.47713	−	1.47713i	−0.0540453	−	0.0540453i
$748$	9.55977	+	18.8378i	0.349540	+	0.688779i
$749$		−	65.7927i		−	2.40401i
$750$	10.5016	−	15.7898i	0.383463	−	0.576563i
$751$	1.29792	+	0.258172i	0.0473617	+	0.00942082i	0.218714	−	0.975789i	$-0.429814\pi$
$751$	1.29792	+	0.258172i	0.0473617	+	0.00942082i	−0.171353	+	0.985210i	$0.554814\pi$
$752$			1.90169i			0.0693473i
$753$	0.458229	−	2.30368i	0.0166988	−	0.0839506i
$754$	−1.96214	−	9.86437i	−0.0714571	−	0.359239i
$755$	−12.1035	+	1.60225i	−0.440491	+	0.0583118i
$756$	10.3876	−	25.0778i	0.377793	−	0.912072i
$757$	−36.5360	+	15.1337i	−1.32792	+	0.550044i	−0.930062	−	0.367402i	$-0.880247\pi$
$757$	−36.5360	+	15.1337i	−1.32792	+	0.550044i	−0.397861	+	0.917446i	$0.630247\pi$
$758$	−3.42507	−	17.2190i	−0.124404	−	0.625422i
$759$	5.02031	−	0.998601i	0.182226	−	0.0362469i
$760$	1.50507	−	0.870389i	0.0545948	−	0.0315723i
$761$	17.9513	+	17.9513i	0.650734	+	0.650734i	0.953170	−	0.302436i	$-0.0977998\pi$
$761$	17.9513	+	17.9513i	0.650734	+	0.650734i	−0.302436	+	0.953170i	$0.597800\pi$
$762$	1.29312	+	1.93529i	0.0468449	+	0.0701083i
$763$	−3.60525	+	8.70385i	−0.130519	+	0.315101i
$764$	16.5094			0.597287
$765$	1.04389	−	0.447362i	0.0377419	−	0.0161744i
$766$	35.1358			1.26951
$767$	−3.58580	+	8.65689i	−0.129476	+	0.312582i
$768$	−0.942312	−	1.41027i	−0.0340028	−	0.0508887i
$769$	7.86109	+	7.86109i	0.283478	+	0.283478i	0.834494	−	0.551016i	$-0.185760\pi$
$769$	7.86109	+	7.86109i	0.283478	+	0.283478i	−0.551016	+	0.834494i	$0.685760\pi$
$770$	56.7151	+	15.1534i	2.04387	+	0.546089i
$771$	32.4933	−	6.46332i	1.17022	−	0.232771i
$772$	−0.681515	−	3.42621i	−0.0245283	−	0.123312i
$773$	28.1566	−	11.6628i	1.01272	−	0.419483i	0.186274	−	0.982498i	$-0.440359\pi$
$773$	28.1566	−	11.6628i	1.01272	−	0.419483i	0.826447	+	0.563015i	$0.190359\pi$
$774$	0.130569	−	0.315222i	0.00469322	−	0.0113304i
$775$	0.158618	−	0.181391i	0.00569774	−	0.00651577i
$776$	0.353366	+	1.77649i	0.0126851	+	0.0637723i
$777$	3.73582	−	18.7812i	0.134022	−	0.673773i
$778$			8.41967i			0.301860i
$779$	1.06289	+	0.211423i	0.0380821	+	0.00757500i
$780$	5.25642	−	10.6782i	0.188210	−	0.382340i
$781$		−	39.4914i		−	1.41311i
$782$	−0.186607	−	2.42144i	−0.00667307	−	0.0865904i
$783$	12.0050	+	12.0050i	0.429023	+	0.429023i
$784$	−7.36927	−	17.7910i	−0.263188	−	0.635392i
$785$	6.08946	+	1.62701i	0.217342	+	0.0580704i
$786$	0.802346	−	0.802346i	0.0286188	−	0.0286188i
$787$	−29.7933	−	5.92625i	−1.06202	−	0.211248i	−0.366984	−	0.930227i	$-0.619610\pi$
$787$	−29.7933	−	5.92625i	−1.06202	−	0.211248i	−0.695032	+	0.718979i	$0.744610\pi$
$788$	4.15296	+	2.77492i	0.147943	+	0.0988524i
$789$	−17.8766	−	11.9447i	−0.636422	−	0.425244i
$790$	−19.3611	−	9.53068i	−0.688838	−	0.339086i
$791$	−44.5830	−	18.4669i	−1.58519	−	0.656607i
$792$	0.619010	−	0.123129i	0.0219956	−	0.00437519i
$793$	−17.2000	+	25.7416i	−0.610790	+	0.914111i
$794$	5.78289	+	8.65471i	0.205227	+	0.307144i
$795$	43.8213	+	2.84078i	1.55418	+	0.100752i
$796$	−2.29091	+	11.5172i	−0.0811991	+	0.408215i
$797$	33.2263	+	13.7628i	1.17694	+	0.487503i	0.883480	−	0.468469i	$-0.155194\pi$
$797$	33.2263	+	13.7628i	1.17694	+	0.487503i	0.293457	+	0.955972i	$0.405194\pi$
$798$	−4.77841	+	4.77841i	−0.169154	+	0.169154i
$799$	3.84233	−	6.83487i	0.135932	−	0.241800i
$800$	−3.04947	−	3.96242i	−0.107815	−	0.140093i
$801$	−0.816720	+	0.338297i	−0.0288574	+	0.0119531i
$802$	−13.5931	+	9.08260i	−0.479988	+	0.320718i
$803$	36.7504			1.29689
$804$	14.1064	−	9.42562i	0.497496	−	0.332416i
$805$	−5.35729	−	4.10472i	−0.188820	−	0.144672i
$806$	0.0840214	−	0.125747i	0.00295953	−	0.00442924i
$807$	2.28641	+	5.51987i	0.0804853	+	0.194309i
$808$	1.37603	+	3.32202i	0.0484085	+	0.116868i
$809$	14.4830	−	21.6754i	0.509196	−	0.762066i	−0.484425	−	0.874833i	$-0.660971\pi$
$809$	14.4830	−	21.6754i	0.509196	−	0.762066i	0.993621	+	0.112767i	$0.0359713\pi$
$810$	2.52814	+	19.0977i	0.0888297	+	0.671026i
$811$	37.1784	−	24.8418i	1.30551	−	0.872315i	0.308626	−	0.951183i	$-0.400131\pi$
$811$	37.1784	−	24.8418i	1.30551	−	0.872315i	0.996885	+	0.0788687i	$0.0251308\pi$
$812$	16.4227			0.576323
$813$	−23.5407	+	15.7294i	−0.825608	+	0.551653i
$814$	10.4293	−	4.31995i	0.365546	−	0.151414i
$815$	33.6220	+	2.17959i	1.17773	+	0.0763478i
$816$	0.537342	+	6.97260i	0.0188107	+	0.244090i
$817$	−1.52283	+	1.52283i	−0.0532769	+	0.0532769i
$818$	5.43029	+	2.24930i	0.189865	+	0.0786449i
$819$	0.386444	−	1.94279i	0.0135035	−	0.0678865i
$820$	0.201614	−	3.11006i	0.00704066	−	0.108608i
$821$	19.4027	+	29.0382i	0.677160	+	1.01344i	0.997804	+	0.0662415i	$0.0211008\pi$
$821$	19.4027	+	29.0382i	0.677160	+	1.01344i	−0.320644	+	0.947200i	$0.603899\pi$
$822$	−17.8035	+	26.6448i	−0.620967	+	0.929343i
$823$	24.6926	−	4.91166i	0.860729	−	0.171210i	0.255059	−	0.966925i	$-0.417905\pi$
$823$	24.6926	−	4.91166i	0.860729	−	0.171210i	0.605670	+	0.795716i	$0.292905\pi$
$824$	−9.51544	−	3.94143i	−0.331486	−	0.137306i
$825$	−41.9536	+	11.3057i	−1.46064	+	0.393613i
$826$	−12.7216	−	8.50031i	−0.442641	−	0.295763i
$827$	18.5750	+	12.4114i	0.645915	+	0.431587i	0.834906	−	0.550392i	$-0.185522\pi$
$827$	18.5750	+	12.4114i	0.645915	+	0.431587i	−0.188991	+	0.981979i	$0.560522\pi$
$828$	−0.0711650	−	0.0141556i	−0.00247315	−	0.000491941i
$829$	27.4675	−	27.4675i	0.953985	−	0.953985i	−0.0450021	−	0.998987i	$-0.514329\pi$
$829$	27.4675	−	27.4675i	0.953985	−	0.953985i	0.998987	+	0.0450021i	$0.0143295\pi$
$830$	32.8255	−	18.9831i	1.13939	−	0.658912i
$831$	19.6020	+	47.3234i	0.679986	+	1.64163i
$832$	−2.21900	−	2.21900i	−0.0769300	−	0.0769300i
$833$	−9.46051	+	78.8323i	−0.327787	+	2.73138i
$834$			22.6681i			0.784934i
$835$	−44.3118	+	15.0771i	−1.53347	+	0.521766i
$836$	−3.90716	−	0.777183i	−0.135132	−	0.0268794i
$837$			0.255289i			0.00882408i
$838$	4.31142	−	21.6750i	0.148935	−	0.748749i
$839$	1.56230	+	7.85419i	0.0539364	+	0.271157i	0.998337	−	0.0576390i	$-0.0183572\pi$
$839$	1.56230	+	7.85419i	0.0539364	+	0.271157i	−0.944401	+	0.328796i	$0.893357\pi$
$840$	15.4265	+	11.8197i	0.532264	+	0.407817i
$841$	7.16698	−	17.3026i	0.247137	−	0.596642i
$842$	−15.3288	+	6.34939i	−0.528265	+	0.218814i
$843$	−3.56377	−	17.9163i	−0.122743	−	0.617069i
$844$	11.0895	−	2.20584i	0.381717	−	0.0759281i
$845$	−1.81936	+	6.80940i	−0.0625880	+	0.234251i
$846$	−0.165646	−	0.165646i	−0.00569503	−	0.00569503i
$847$	−43.4144	−	64.9742i	−1.49174	−	2.23254i
$848$	4.43093	−	10.6972i	0.152159	−	0.367344i
$849$	−42.6966			−1.46534
$850$	2.95411	+	20.4028i	0.101325	+	0.699809i
$851$	−1.29780			−0.0444880
$852$	5.00302	−	12.0784i	0.171401	−	0.413798i
$853$	25.2189	+	37.7428i	0.863479	+	1.29229i	0.955037	+	0.296488i	$0.0958155\pi$
$853$	25.2189	+	37.7428i	0.863479	+	1.29229i	−0.0915575	+	0.995800i	$0.529185\pi$
$854$	−35.7456	−	35.7456i	−1.22319	−	1.22319i
$855$	−0.0552843	+	0.206915i	−0.00189068	+	0.00707633i
$856$	12.5930	−	2.50491i	0.430421	−	0.0856161i
$857$	−0.962588	−	4.83926i	−0.0328814	−	0.165306i	0.960856	−	0.277049i	$-0.0893565\pi$
$857$	−0.962588	−	4.83926i	−0.0328814	−	0.165306i	−0.993737	+	0.111743i	$0.964357\pi$
$858$	−25.1947	+	10.4360i	−0.860133	+	0.356279i
$859$	−11.9272	+	28.7948i	−0.406950	+	0.982465i	0.578985	+	0.815338i	$0.303449\pi$
$859$	−11.9272	+	28.7948i	−0.406950	+	0.982465i	−0.985935	+	0.167127i	$0.946551\pi$
$860$	4.91624	+	3.76679i	0.167642	+	0.128447i
$861$	2.36323	+	11.8808i	0.0805388	+	0.404896i
$862$	−0.623260	+	3.13334i	−0.0212283	+	0.106722i
$863$			34.9690i			1.19036i	0.803593	+	0.595179i	$0.202919\pi$
$863$			34.9690i			1.19036i	−0.803593	+	0.595179i	$0.797081\pi$
$864$	5.19550	+	1.03345i	0.176755	+	0.0351587i
$865$	−8.19480	+	2.78829i	−0.278632	+	0.0948046i
$866$		−	27.8186i		−	0.945314i
$867$	12.1568	−	26.1460i	0.412866	−	0.887964i
$868$	0.174616	+	0.174616i	0.00592686	+	0.00592686i
$869$	18.9220	+	45.6818i	0.641886	+	1.54965i
$870$	−10.5224	+	6.08514i	−0.356743	+	0.206306i
$871$	22.1959	−	22.1959i	0.752079	−	0.752079i
$872$	−1.80322	−	0.358683i	−0.0610648	−	0.0121465i
$873$	−0.185521	−	0.123961i	−0.00627894	−	0.00419545i
$874$	0.380805	+	0.254446i	0.0128809	+	0.00860675i
$875$	47.7027	+	31.7263i	1.61264	+	1.07255i
$876$	11.2400	+	4.65578i	0.379766	+	0.157304i
$877$	6.55474	−	1.30382i	0.221338	−	0.0440268i	−0.0831755	−	0.996535i	$-0.526506\pi$
$877$	6.55474	−	1.30382i	0.221338	−	0.0440268i	0.304513	+	0.952508i	$0.401506\pi$
$878$	−15.2885	+	22.8808i	−0.515962	+	0.772191i
$879$	−8.30405	−	12.4279i	−0.280089	−	0.419182i
$880$	−0.741126	+	11.4325i	−0.0249834	+	0.385389i
$881$	−7.26090	+	36.5030i	−0.244626	+	1.22982i	0.641772	+	0.766895i	$0.278199\pi$
$881$	−7.26090	+	36.5030i	−0.244626	+	1.22982i	−0.886398	+	0.462923i	$0.846801\pi$
$882$	2.19158	+	0.907784i	0.0737945	+	0.0305667i
$883$	−37.2787	+	37.2787i	−1.25453	+	1.25453i	−0.300862	+	0.953668i	$0.597274\pi$
$883$	−37.2787	+	37.2787i	−1.25453	+	1.25453i	−0.953668	+	0.300862i	$0.902726\pi$
$884$	3.49187	+	12.4588i	0.117444	+	0.419035i
$885$	11.3007	+	0.732583i	0.379868	+	0.0246255i
$886$	−9.95910	+	4.12519i	−0.334582	+	0.138589i
$887$	−43.1846	+	28.8551i	−1.45000	+	0.968858i	−0.452994	+	0.891514i	$0.649644\pi$
$887$	−43.1846	+	28.8551i	−1.45000	+	0.968858i	−0.997004	+	0.0773445i	$0.975356\pi$
$888$	3.73705			0.125407
$889$	−5.84672	+	3.90665i	−0.196093	+	0.131025i
$890$	−2.10587	−	15.9079i	−0.0705890	−	0.533234i
$891$	24.5230	−	36.7013i	0.821552	−	1.22954i
$892$	−4.64271	−	11.2085i	−0.155450	−	0.375288i
$893$	0.565848	+	1.36608i	0.0189354	+	0.0457141i
$894$	7.11106	−	10.6425i	0.237830	−	0.355937i
$895$	20.0391	+	15.3538i	0.669834	+	0.513222i
$896$	4.26057	−	2.84682i	0.142336	−	0.0951056i
$897$	3.13518			0.104681
$898$	13.7829	−	9.20944i	0.459942	−	0.307323i
$899$	−0.142698	+	0.0591073i	−0.00475923	+	0.00197134i
$900$	0.610770	+	0.0795223i	0.0203590	+	0.00265074i
$901$	−37.5388	+	29.4943i	−1.25060	+	0.982598i
$902$	−5.04946	+	5.04946i	−0.168129	+	0.168129i
$903$	−22.2401	−	9.21214i	−0.740103	−	0.306561i
$904$	1.83725	−	9.23648i	0.0611061	−	0.307201i
$905$	48.8205	+	3.16486i	1.62285	+	0.105203i
$906$	5.14509	+	7.70017i	0.170934	+	0.255821i
$907$	−4.38358	+	6.56049i	−0.145554	+	0.217837i	−0.897082	−	0.441864i	$-0.854317\pi$
$907$	−4.38358	+	6.56049i	−0.145554	+	0.217837i	0.751528	+	0.659702i	$0.229317\pi$
$908$	6.47334	−	1.28763i	0.214825	−	0.0427314i
$909$	−0.409224	−	0.169506i	−0.0135731	−	0.00562216i
$910$	32.2598	+	15.8802i	1.06940	+	0.526422i
$911$	−4.98293	−	3.32949i	−0.165092	−	0.110311i	0.470280	−	0.882517i	$-0.344153\pi$
$911$	−4.98293	−	3.32949i	−0.165092	−	0.110311i	−0.635372	+	0.772207i	$0.719153\pi$
$912$	−1.09654	−	0.732684i	−0.0363100	−	0.0242616i
$913$	−85.2147	−	16.9503i	−2.82020	−	0.560972i
$914$	−8.13738	+	8.13738i	−0.269161	+	0.269161i
$915$	36.1480	+	9.65818i	1.19502	+	0.319290i
$916$	−3.39249	−	8.19020i	−0.112091	−	0.270612i
$917$	2.42397	+	2.42397i	0.0800465	+	0.0800465i
$918$	−16.5851	−	14.2118i	−0.547391	−	0.469059i
$919$			39.9956i			1.31933i	0.751558	+	0.659667i	$0.229303\pi$
$919$			39.9956i			1.31933i	−0.751558	+	0.659667i	$0.770697\pi$
$920$	0.581696	−	1.18169i	0.0191779	−	0.0389591i
$921$	3.72255	+	0.740462i	0.122662	+	0.0243991i
$922$		−	6.02105i		−	0.198293i
$923$	4.71895	−	23.7237i	0.155326	−	0.780876i
$924$	−8.68718	−	43.6734i	−0.285787	−	1.43675i
$925$	10.9919	−	0.736210i	0.361410	−	0.0242064i
$926$	6.47228	−	15.6255i	0.212692	−	0.513484i
$927$	1.17216	−	0.485525i	0.0384988	−	0.0159467i
$928$	0.625257	+	3.14338i	0.0205251	+	0.103187i
$929$	27.2141	−	5.41322i	0.892865	−	0.177602i	0.272724	−	0.962092i	$-0.412075\pi$
$929$	27.2141	−	5.41322i	0.892865	−	0.177602i	0.620141	+	0.784490i	$0.287075\pi$
$930$	−0.176582	−	0.0471799i	−0.00579035	−	0.00154709i
$931$	−10.5874	−	10.5874i	−0.346990	−	0.346990i
$932$	−6.06414	−	9.07563i	−0.198638	−	0.297282i
$933$	3.62347	−	8.74782i	0.118627	−	0.286391i
$934$	−17.5643			−0.574720
$935$	25.7629	−	39.5921i	0.842535	−	1.29480i
$936$	0.386572			0.0126355
$937$	6.83373	−	16.4981i	0.223248	−	0.538969i	−0.772079	−	0.635526i	$-0.780783\pi$
$937$	6.83373	−	16.4981i	0.223248	−	0.538969i	0.995327	+	0.0965573i	$0.0307831\pi$
$938$	28.4757	+	42.6170i	0.929766	+	1.39149i
$939$	36.0871	+	36.0871i	1.17766	+	1.17766i
$940$	3.68108	−	2.12878i	0.120064	−	0.0694331i
$941$	31.6394	−	6.29346i	1.03141	−	0.205161i	0.349763	−	0.936838i	$-0.386262\pi$
$941$	31.6394	−	6.29346i	1.03141	−	0.205161i	0.681651	+	0.731677i	$0.261262\pi$
$942$	−0.932736	−	4.68918i	−0.0303902	−	0.152782i
$943$	0.758480	−	0.314173i	0.0246995	−	0.0102309i
$944$	1.14265	−	2.75861i	0.0371902	−	0.0897850i
$945$	−60.1710	+	7.96538i	−1.95736	+	0.259114i
$946$	−2.76850	−	13.9182i	−0.0900119	−	0.452520i
$947$	−1.96016	+	9.85437i	−0.0636965	+	0.320224i	−0.999476	−	0.0323611i	$-0.989697\pi$
$947$	−1.96016	+	9.85437i	−0.0636965	+	0.320224i	0.935780	+	0.352585i	$0.114697\pi$
$948$			16.3689i			0.531636i
$949$	22.0771	+	4.39142i	0.716654	+	0.142551i
$950$	−3.36961	−	1.93903i	−0.109325	−	0.0629106i
$951$		−	18.3497i		−	0.595029i
$952$	−21.0649	+	1.62336i	−0.682718	+	0.0526135i
$953$	−21.5576	−	21.5576i	−0.698319	−	0.698319i	0.265729	−	0.964048i	$-0.414387\pi$
$953$	−21.5576	−	21.5576i	−0.698319	−	0.698319i	−0.964048	+	0.265729i	$0.914387\pi$
$954$	0.545824	+	1.31774i	0.0176717	+	0.0426633i
$955$	−18.4808	−	31.9570i	−0.598026	−	1.03411i
$956$	−1.65634	+	1.65634i	−0.0535697	+	0.0535697i
$957$	27.3161	+	5.43351i	0.883004	+	0.175640i
$958$	3.69792	+	2.47087i	0.119474	+	0.0798302i
$959$	−80.4965	−	53.7860i	−2.59937	−	1.73684i
$960$	−1.67501	+	3.40271i	−0.0540607	+	0.109822i
$961$	28.6381	+	11.8623i	0.923810	+	0.382655i
$962$	6.78140	−	1.34890i	0.218641	−	0.0434904i
$963$	−0.878726	+	1.31511i	−0.0283166	+	0.0423787i
$964$	−7.69227	−	11.5123i	−0.247751	−	0.370786i
$965$	−5.86919	+	5.15456i	−0.188936	+	0.165931i
$966$	−0.998728	+	5.02095i	−0.0321336	+	0.161546i
$967$	30.5429	+	12.6513i	0.982195	+	0.406838i	0.815238	−	0.579126i	$-0.196606\pi$
$967$	30.5429	+	12.6513i	0.982195	+	0.406838i	0.166957	+	0.985964i	$0.446606\pi$
$968$	10.7835	−	10.7835i	0.346594	−	0.346594i
$969$	2.46070	+	4.84889i	0.0790492	+	0.155769i
$970$	3.04318	−	2.67264i	0.0977105	−	0.0858133i
$971$	−36.3711	+	15.0654i	−1.16720	+	0.483472i	−0.880267	−	0.474478i	$-0.842637\pi$
$971$	−36.3711	+	15.0654i	−1.16720	+	0.483472i	−0.286936	+	0.957950i	$0.592637\pi$
$972$	−1.06375	+	0.710772i	−0.0341196	+	0.0227980i
$973$	−68.4827			−2.19546
$974$	8.04454	−	5.37519i	0.257764	−	0.172232i
$975$	−26.5538	+	1.77851i	−0.850401	+	0.0569580i
$976$	5.48095	−	8.20282i	0.175441	−	0.262566i
$977$	−7.06371	−	17.0533i	−0.225988	−	0.545583i	0.769694	−	0.638413i	$-0.220409\pi$
$977$	−7.06371	−	17.0533i	−0.225988	−	0.545583i	−0.995682	+	0.0928297i	$0.970409\pi$
$978$	−9.78012	−	23.6113i	−0.312734	−	0.755006i
$979$	−20.4270	+	30.5712i	−0.652850	+	0.977059i
$980$	−26.1886	+	34.1802i	−0.836564	+	1.09185i
$981$	0.188313	−	0.125826i	0.00601236	−	0.00401733i
$982$	38.2826			1.22165
$983$	29.3769	−	19.6290i	0.936977	−	0.626068i	0.00950260	−	0.999955i	$-0.496975\pi$
$983$	29.3769	−	19.6290i	0.936977	−	0.626068i	0.927474	+	0.373887i	$0.121975\pi$
$984$	−2.18406	+	0.904669i	−0.0696254	+	0.0288398i
$985$	0.722500	−	11.1451i	0.0230208	−	0.355114i
$986$	4.10392	−	12.5610i	0.130695	−	0.400023i
$987$	−11.6869	+	11.6869i	−0.371999	+	0.371999i
$988$	−2.25429	−	0.933756i	−0.0717184	−	0.0297067i
$989$	−0.318283	+	1.60012i	−0.0101208	+	0.0508808i
$990$	−0.931269	−	1.06038i	−0.0295977	−	0.0337011i
$991$	−27.8623	−	41.6989i	−0.885075	−	1.32461i	−0.945225	−	0.326419i	$-0.894158\pi$
$991$	−27.8623	−	41.6989i	−0.885075	−	1.32461i	0.0601504	−	0.998189i	$-0.480842\pi$
$992$	−0.0267743	+	0.0400705i	−0.000850084	+	0.00127224i
$993$	35.1034	−	6.98249i	1.11397	−	0.221583i
$994$	36.4900	+	15.1146i	1.15739	+	0.479407i
$995$	24.8582	−	8.45802i	0.788058	−	0.268137i
$996$	−23.9154	−	15.9797i	−0.757788	−	0.506338i
$997$	−2.26555	−	1.51379i	−0.0717506	−	0.0479422i	0.519178	−	0.854666i	$-0.326238\pi$
$997$	−2.26555	−	1.51379i	−0.0717506	−	0.0479422i	−0.590928	+	0.806724i	$0.701238\pi$
$998$	2.90710	+	0.578259i	0.0920228	+	0.0183045i
$999$	−8.25300	+	8.25300i	−0.261113	+	0.261113i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	170.2.o.b.3.4	✓	40
5.2	odd	4		170.2.r.b.37.4	yes	40
5.3	odd	4		850.2.v.d.207.2		40
5.4	even	2		850.2.s.d.343.2		40
17.6	odd	16		170.2.r.b.23.4	yes	40
85.23	even	16		850.2.s.d.57.2		40
85.57	even	16	inner	170.2.o.b.57.4	yes	40
85.74	odd	16		850.2.v.d.193.2		40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
170.2.o.b.3.4	✓	40	1.1	even	1	trivial
170.2.o.b.57.4	yes	40	85.57	even	16	inner
170.2.r.b.23.4	yes	40	17.6	odd	16
170.2.r.b.37.4	yes	40	5.2	odd	4
850.2.s.d.57.2		40	85.23	even	16
850.2.s.d.343.2		40	5.4	even	2
850.2.v.d.193.2		40	85.74	odd	16
850.2.v.d.207.2		40	5.3	odd	4

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:	\( N \)	\(=\)	\( 170 = 2 \cdot 5 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	170.o (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.382683 - 0.923880i) q^{2} +(0.942312 + 1.41027i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(-0.577195 + 2.16029i) q^{5} +(1.66353 - 0.330896i) q^{6} +(0.999670 + 5.02568i) q^{7} +(-0.923880 + 0.382683i) q^{8} +(0.0471409 - 0.113808i) q^{9} +O(q^{10})\)	\(q+(0.382683 - 0.923880i) q^{2} +(0.942312 + 1.41027i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(-0.577195 + 2.16029i) q^{5} +(1.66353 - 0.330896i) q^{6} +(0.999670 + 5.02568i) q^{7} +(-0.923880 + 0.382683i) q^{8} +(0.0471409 - 0.113808i) q^{9} +(1.77496 + 1.35996i) q^{10} +(-0.999543 - 5.02504i) q^{11} +(0.330896 - 1.66353i) q^{12} -3.13814i q^{13} +(5.02568 + 0.999670i) q^{14} +(-3.59049 + 1.22167i) q^{15} +1.00000i q^{16} +(2.02049 - 3.59411i) q^{17} +(-0.0871050 - 0.0871050i) q^{18} +(0.297551 + 0.718351i) q^{19} +(1.93569 - 1.11942i) q^{20} +(-6.14557 + 6.14557i) q^{21} +(-5.02504 - 0.999543i) q^{22} +(0.489757 + 0.327245i) q^{23} +(-1.41027 - 0.942312i) q^{24} +(-4.33369 - 2.49381i) q^{25} +(-2.89926 - 1.20091i) q^{26} +(5.19550 - 1.03345i) q^{27} +(2.84682 - 4.26057i) q^{28} +(1.78058 + 2.66483i) q^{29} +(-0.245348 + 3.78469i) q^{30} +(-0.00940187 + 0.0472664i) q^{31} +(0.923880 + 0.382683i) q^{32} +(6.14479 - 6.14479i) q^{33} +(-2.54732 - 3.24209i) q^{34} +(-11.4339 - 0.741221i) q^{35} +(-0.113808 + 0.0471409i) q^{36} +(-1.83197 + 1.22409i) q^{37} +0.777538 q^{38} +(4.42562 - 2.95711i) q^{39} +(-0.293448 - 2.21673i) q^{40} +(0.774342 - 1.15889i) q^{41} +(3.32596 + 8.02957i) q^{42} +(1.05995 + 2.55893i) q^{43} +(-2.84646 + 4.26003i) q^{44} +(0.218649 + 0.167527i) q^{45} +(0.489757 - 0.327245i) q^{46} +1.90169 q^{47} +(-1.41027 + 0.942312i) q^{48} +(-17.7910 + 7.36927i) q^{49} +(-3.96242 + 3.04947i) q^{50} +(6.97260 - 0.537342i) q^{51} +(-2.21900 + 2.21900i) q^{52} +(-10.6972 - 4.43093i) q^{53} +(1.03345 - 5.19550i) q^{54} +(11.4325 + 0.741126i) q^{55} +(-2.84682 - 4.26057i) q^{56} +(-0.732684 + 1.09654i) q^{57} +(3.14338 - 0.625257i) q^{58} +(-2.75861 - 1.14265i) q^{59} +(3.40271 + 1.67501i) q^{60} +(-8.20282 - 5.48095i) q^{61} +(0.0400705 + 0.0267743i) q^{62} +(0.619089 + 0.123144i) q^{63} +(0.707107 - 0.707107i) q^{64} +(6.77929 + 1.81132i) q^{65} +(-3.32553 - 8.02855i) q^{66} +(7.07294 + 7.07294i) q^{67} +(-3.97012 + 1.11272i) q^{68} +0.999058i q^{69} +(-5.06037 + 10.2799i) q^{70} +(7.55981 + 1.50374i) q^{71} +0.123185i q^{72} +(-1.39937 + 7.03510i) q^{73} +(0.429842 + 2.16096i) q^{74} +(-0.566741 - 8.46163i) q^{75} +(0.297551 - 0.718351i) q^{76} +(24.2551 - 10.0468i) q^{77} +(-1.03840 - 5.22038i) q^{78} +(-9.46534 + 1.88277i) q^{79} +(-2.16029 - 0.577195i) q^{80} +(6.09192 + 6.09192i) q^{81} +(-0.774342 - 1.15889i) q^{82} +(6.48955 - 15.6672i) q^{83} +8.69115 q^{84} +(6.59810 + 6.43934i) q^{85} +2.76977 q^{86} +(-2.08026 + 5.02220i) q^{87} +(2.84646 + 4.26003i) q^{88} +(-5.07441 - 5.07441i) q^{89} +(0.238448 - 0.137895i) q^{90} +(15.7713 - 3.13711i) q^{91} +(-0.114913 - 0.577708i) q^{92} +(-0.0755179 + 0.0312805i) q^{93} +(0.727743 - 1.75693i) q^{94} +(-1.72359 + 0.228167i) q^{95} +(0.330896 + 1.66353i) q^{96} +(0.353366 - 1.77649i) q^{97} +19.2568i q^{98} +(-0.619010 - 0.123129i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q+O(q^{10}) \) 40 * q	\( 40 q + 8 q^{10} - 8 q^{15} - 16 q^{18} - 16 q^{20} - 8 q^{25} - 8 q^{26} + 24 q^{27} + 8 q^{28} - 8 q^{29} - 16 q^{31} + 32 q^{33} - 8 q^{34} - 32 q^{35} + 16 q^{37} + 32 q^{39} + 8 q^{40} - 56 q^{41} - 8 q^{42} - 48 q^{43} - 16 q^{44} - 24 q^{45} - 96 q^{47} - 16 q^{49} - 32 q^{51} - 16 q^{52} - 40 q^{53} + 24 q^{54} + 8 q^{55} - 8 q^{56} - 8 q^{57} + 16 q^{58} + 24 q^{61} - 24 q^{62} - 24 q^{63} + 16 q^{65} - 16 q^{67} + 24 q^{68} + 8 q^{70} + 24 q^{71} + 16 q^{73} - 32 q^{74} + 184 q^{75} + 40 q^{77} + 16 q^{78} + 104 q^{79} + 8 q^{80} + 48 q^{81} + 56 q^{82} + 16 q^{83} - 8 q^{85} + 96 q^{86} - 8 q^{87} + 16 q^{88} + 16 q^{89} + 40 q^{90} + 48 q^{91} + 8 q^{92} + 136 q^{93} + 8 q^{94} + 8 q^{95} + 144 q^{97} - 160 q^{99}+O(q^{100}) \) 40 * q + 8 * q^10 - 8 * q^15 - 16 * q^18 - 16 * q^20 - 8 * q^25 - 8 * q^26 + 24 * q^27 + 8 * q^28 - 8 * q^29 - 16 * q^31 + 32 * q^33 - 8 * q^34 - 32 * q^35 + 16 * q^37 + 32 * q^39 + 8 * q^40 - 56 * q^41 - 8 * q^42 - 48 * q^43 - 16 * q^44 - 24 * q^45 - 96 * q^47 - 16 * q^49 - 32 * q^51 - 16 * q^52 - 40 * q^53 + 24 * q^54 + 8 * q^55 - 8 * q^56 - 8 * q^57 + 16 * q^58 + 24 * q^61 - 24 * q^62 - 24 * q^63 + 16 * q^65 - 16 * q^67 + 24 * q^68 + 8 * q^70 + 24 * q^71 + 16 * q^73 - 32 * q^74 + 184 * q^75 + 40 * q^77 + 16 * q^78 + 104 * q^79 + 8 * q^80 + 48 * q^81 + 56 * q^82 + 16 * q^83 - 8 * q^85 + 96 * q^86 - 8 * q^87 + 16 * q^88 + 16 * q^89 + 40 * q^90 + 48 * q^91 + 8 * q^92 + 136 * q^93 + 8 * q^94 + 8 * q^95 + 144 * q^97 - 160 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more