LMFDB - Embedded newform 170.2.r.b.23.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [170,2,Mod(23,170)]

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, 15]))

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

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

chi := DirichletCharacter("170.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 170 = 2 \cdot 5 \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	170.r (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			23.4
Character	$\chi$	$=$	170.23
Dual form			170.2.r.b.37.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.923880 - 0.382683i) q^{2} +(1.41027 + 0.942312i) q^{3} +(0.707107 - 0.707107i) q^{4} +(2.21673 - 0.293448i) q^{5} +(1.66353 + 0.330896i) q^{6} +(-5.02568 - 0.999670i) q^{7} +(0.382683 - 0.923880i) q^{8} +(-0.0471409 - 0.113808i) q^{9} +O(q^{10})$	\(q+(0.923880 - 0.382683i) q^{2} +(1.41027 + 0.942312i) q^{3} +(0.707107 - 0.707107i) q^{4} +(2.21673 - 0.293448i) q^{5} +(1.66353 + 0.330896i) q^{6} +(-5.02568 - 0.999670i) q^{7} +(0.382683 - 0.923880i) q^{8} +(-0.0471409 - 0.113808i) q^{9} +(1.93569 - 1.11942i) q^{10} +(-0.999543 + 5.02504i) q^{11} +(1.66353 - 0.330896i) q^{12} -3.13814 q^{13} +(-5.02568 + 0.999670i) q^{14} +(3.40271 + 1.67501i) q^{15} -1.00000i q^{16} +(3.59411 - 2.02049i) q^{17} +(-0.0871050 - 0.0871050i) q^{18} +(-0.297551 + 0.718351i) q^{19} +(1.35996 - 1.77496i) q^{20} +(-6.14557 - 6.14557i) q^{21} +(0.999543 + 5.02504i) q^{22} +(0.327245 + 0.489757i) q^{23} +(1.41027 - 0.942312i) q^{24} +(4.82778 - 1.30099i) q^{25} +(-2.89926 + 1.20091i) q^{26} +(1.03345 - 5.19550i) q^{27} +(-4.26057 + 2.84682i) q^{28} +(-1.78058 + 2.66483i) q^{29} +(3.78469 + 0.245348i) q^{30} +(-0.00940187 - 0.0472664i) q^{31} +(-0.382683 - 0.923880i) 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} +(-1.22409 + 1.83197i) q^{37} +0.777538i q^{38} +(-4.42562 - 2.95711i) q^{39} +(0.577195 - 2.16029i) q^{40} +(0.774342 + 1.15889i) q^{41} +(-8.02957 - 3.32596i) q^{42} +(2.55893 + 1.05995i) q^{43} +(2.84646 + 4.26003i) q^{44} +(-0.137895 - 0.238448i) q^{45} +(0.489757 + 0.327245i) q^{46} -1.90169i q^{47} +(0.942312 - 1.41027i) 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} +(-4.43093 - 10.6972i) q^{53} +(-1.03345 - 5.19550i) q^{54} +(-0.741126 + 11.4325i) q^{55} +(-2.84682 + 4.26057i) q^{56} +(-1.09654 + 0.732684i) q^{57} +(-0.625257 + 3.14338i) q^{58} +(2.75861 - 1.14265i) q^{59} +(3.59049 - 1.22167i) q^{60} +(-8.20282 + 5.48095i) q^{61} +(-0.0267743 - 0.0400705i) q^{62} +(0.123144 + 0.619089i) q^{63} +(-0.707107 - 0.707107i) q^{64} +(-6.95641 + 0.920882i) q^{65} +(-3.32553 + 8.02855i) q^{66} +(-7.07294 - 7.07294i) q^{67} +(1.11272 - 3.97012i) q^{68} +0.999058i q^{69} +(-10.8472 + 3.69078i) q^{70} +(7.55981 - 1.50374i) q^{71} -0.123185 q^{72} +(7.03510 - 1.39937i) q^{73} +(-0.429842 + 2.16096i) q^{74} +(8.03441 + 2.71453i) q^{75} +(0.297551 + 0.718351i) q^{76} +(10.0468 - 24.2551i) q^{77} +(-5.22038 - 1.03840i) q^{78} +(9.46534 + 1.88277i) q^{79} +(-0.293448 - 2.21673i) q^{80} +(6.09192 - 6.09192i) q^{81} +(1.15889 + 0.774342i) q^{82} +(-15.6672 + 6.48955i) q^{83} -8.69115 q^{84} +(7.37426 - 5.53356i) q^{85} +2.76977 q^{86} +(-5.02220 + 2.08026i) q^{87} +(4.26003 + 2.84646i) q^{88} +(5.07441 - 5.07441i) q^{89} +(-0.218649 - 0.167527i) q^{90} +(15.7713 + 3.13711i) q^{91} +(0.577708 + 0.114913i) q^{92} +(0.0312805 - 0.0755179i) q^{93} +(-0.727743 - 1.75693i) q^{94} +(-0.448791 + 1.67971i) q^{95} +(0.330896 - 1.66353i) q^{96} +(1.77649 - 0.353366i) q^{97} +19.2568 q^{98} +(0.619010 - 0.123129i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q+O(q^{10}) $ 40 * q	$ 40 q - 16 q^{10} - 16 q^{18} + 8 q^{25} - 8 q^{26} + 24 q^{27} - 8 q^{28} + 8 q^{29} + 16 q^{30} - 16 q^{31} - 32 q^{33} + 8 q^{34} - 32 q^{35} - 32 q^{39} - 56 q^{41} - 24 q^{42} + 16 q^{43} + 16 q^{44} + 24 q^{45} + 16 q^{49} - 32 q^{51} - 16 q^{52} + 16 q^{53} - 24 q^{54} - 8 q^{55} - 8 q^{56} - 120 q^{57} + 16 q^{58} + 8 q^{60} + 24 q^{61} - 8 q^{62} - 24 q^{63} - 32 q^{65} + 16 q^{67} - 8 q^{70} + 24 q^{71} + 56 q^{72} + 88 q^{73} + 32 q^{74} + 8 q^{75} + 24 q^{77} + 32 q^{78} - 104 q^{79} + 8 q^{80} + 48 q^{81} + 16 q^{82} + 16 q^{83} + 136 q^{85} + 96 q^{86} + 136 q^{87} - 16 q^{89} + 24 q^{90} + 48 q^{91} - 8 q^{92} - 8 q^{93} - 8 q^{94} - 136 q^{95} + 16 q^{97} + 72 q^{98} + 160 q^{99}+O(q^{100}) $ 40 * q - 16 * q^10 - 16 * q^18 + 8 * q^25 - 8 * q^26 + 24 * q^27 - 8 * q^28 + 8 * q^29 + 16 * q^30 - 16 * q^31 - 32 * q^33 + 8 * q^34 - 32 * q^35 - 32 * q^39 - 56 * q^41 - 24 * q^42 + 16 * q^43 + 16 * q^44 + 24 * q^45 + 16 * q^49 - 32 * q^51 - 16 * q^52 + 16 * q^53 - 24 * q^54 - 8 * q^55 - 8 * q^56 - 120 * q^57 + 16 * q^58 + 8 * q^60 + 24 * q^61 - 8 * q^62 - 24 * q^63 - 32 * q^65 + 16 * q^67 - 8 * q^70 + 24 * q^71 + 56 * q^72 + 88 * q^73 + 32 * q^74 + 8 * q^75 + 24 * q^77 + 32 * q^78 - 104 * q^79 + 8 * q^80 + 48 * q^81 + 16 * q^82 + 16 * q^83 + 136 * q^85 + 96 * q^86 + 136 * q^87 - 16 * q^89 + 24 * q^90 + 48 * q^91 - 8 * q^92 - 8 * q^93 - 8 * q^94 - 136 * q^95 + 16 * q^97 + 72 * q^98 + 160 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$71$	$137$
$\chi(n)$	$e\left(\frac{15}{16}\right)$	$e\left(\frac{3}{4}\right)$

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 $

$2$	0.923880	−	0.382683i	0.653281	−	0.270598i
$2$	0.923880	−	0.382683i	0.653281	−	0.270598i
$3$	1.41027	+	0.942312i	0.814220	+	0.544044i	0.891529	−	0.452963i	$-0.149633\pi$
$3$	1.41027	+	0.942312i	0.814220	+	0.544044i	−0.0773095	+	0.997007i	$0.524633\pi$
$4$	0.707107	−	0.707107i	0.353553	−	0.353553i
$5$	2.21673	−	0.293448i	0.991351	−	0.131234i
$5$	2.21673	−	0.293448i	0.991351	−	0.131234i
$6$	1.66353	+	0.330896i	0.679132	+	0.135088i
$7$	−5.02568	−	0.999670i	−1.89953	−	0.377840i	−0.901087	−	0.433638i	$-0.857230\pi$
$7$	−5.02568	−	0.999670i	−1.89953	−	0.377840i	−0.998442	+	0.0557977i	$0.982230\pi$
$8$	0.382683	−	0.923880i	0.135299	−	0.326641i
$9$	−0.0471409	−	0.113808i	−0.0157136	−	0.0379360i
$10$	1.93569	−	1.11942i	0.612120	−	0.353991i
$11$	−0.999543	+	5.02504i	−0.301374	+	1.51511i	0.472252	+	0.881464i	$0.343441\pi$
$11$	−0.999543	+	5.02504i	−0.301374	+	1.51511i	−0.773625	+	0.633643i	$0.781559\pi$
$12$	1.66353	−	0.330896i	0.480219	−	0.0955215i
$13$	−3.13814			−0.870363			−0.435182	−	0.900343i	$-0.643316\pi$
$13$	−3.13814			−0.870363			−0.435182	+	0.900343i	$0.643316\pi$
$14$	−5.02568	+	0.999670i	−1.34317	+	0.267173i
$15$	3.40271	+	1.67501i	0.878575	+	0.432486i
$16$		−	1.00000i		−	0.250000i
$17$	3.59411	−	2.02049i	0.871700	−	0.490040i
$17$	3.59411	−	2.02049i	0.871700	−	0.490040i
$18$	−0.0871050	−	0.0871050i	−0.0205308	−	0.0205308i
$19$	−0.297551	+	0.718351i	−0.0682628	+	0.164801i	−0.954329	−	0.298758i	$-0.903428\pi$
$19$	−0.297551	+	0.718351i	−0.0682628	+	0.164801i	0.886066	+	0.463559i	$0.153428\pi$
$20$	1.35996	−	1.77496i	0.304097	−	0.396894i
$21$	−6.14557	−	6.14557i	−1.34107	−	1.34107i
$22$	0.999543	+	5.02504i	0.213103	+	1.07134i
$23$	0.327245	+	0.489757i	0.0682354	+	0.102121i	0.864018	−	0.503461i	$-0.167940\pi$
$23$	0.327245	+	0.489757i	0.0682354	+	0.102121i	−0.795783	+	0.605582i	$0.792940\pi$
$24$	1.41027	−	0.942312i	0.287870	−	0.192349i
$25$	4.82778	−	1.30099i	0.965555	−	0.260198i
$26$	−2.89926	+	1.20091i	−0.568592	+	0.235519i
$27$	1.03345	−	5.19550i	0.198888	−	0.999875i
$28$	−4.26057	+	2.84682i	−0.805172	+	0.537999i
$29$	−1.78058	+	2.66483i	−0.330646	+	0.494846i	−0.959126	−	0.282979i	$-0.908677\pi$
$29$	−1.78058	+	2.66483i	−0.330646	+	0.494846i	0.628480	+	0.777826i	$0.283677\pi$
$30$	3.78469	+	0.245348i	0.690987	+	0.0447942i
$31$	−0.00940187	−	0.0472664i	−0.00168863	−	0.00848929i	0.979932	−	0.199333i	$-0.0638776\pi$
$31$	−0.00940187	−	0.0472664i	−0.00168863	−	0.00848929i	−0.981620	+	0.190844i	$0.938878\pi$
$32$	−0.382683	−	0.923880i	−0.0676495	−	0.163320i
$33$	−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
$37$	−1.22409	+	1.83197i	−0.201239	+	0.301175i	−0.918339	−	0.395795i	$-0.870469\pi$
$37$	−1.22409	+	1.83197i	−0.201239	+	0.301175i	0.717100	+	0.696970i	$0.245469\pi$
$38$			0.777538i			0.126133i
$39$	−4.42562	−	2.95711i	−0.708667	−	0.473516i
$40$	0.577195	−	2.16029i	0.0912625	−	0.341572i
$41$	0.774342	+	1.15889i	0.120932	+	0.180987i	0.886996	−	0.461776i	$-0.152788\pi$
$41$	0.774342	+	1.15889i	0.120932	+	0.180987i	−0.766064	+	0.642764i	$0.777788\pi$
$42$	−8.02957	−	3.32596i	−1.23899	−	0.513206i
$43$	2.55893	+	1.05995i	0.390234	+	0.161640i	0.569169	−	0.822221i	$-0.307265\pi$
$43$	2.55893	+	1.05995i	0.390234	+	0.161640i	−0.178935	+	0.983861i	$0.557265\pi$
$44$	2.84646	+	4.26003i	0.429120	+	0.642223i
$45$	−0.137895	−	0.238448i	−0.0205562	−	0.0355458i
$46$	0.489757	+	0.327245i	0.0722108	+	0.0482497i
$47$		−	1.90169i		−	0.277389i	−0.990335	−	0.138695i	$-0.955709\pi$
$47$		−	1.90169i		−	0.277389i	0.990335	−	0.138695i	$-0.0442907\pi$
$48$	0.942312	−	1.41027i	0.136011	−	0.203555i
$49$	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
$53$	−4.43093	−	10.6972i	−0.608635	−	1.46937i	−0.864485	−	0.502658i	$-0.832355\pi$
$53$	−4.43093	−	10.6972i	−0.608635	−	1.46937i	0.255850	−	0.966716i	$-0.417645\pi$
$54$	−1.03345	−	5.19550i	−0.140635	−	0.707018i
$55$	−0.741126	+	11.4325i	−0.0999334	+	1.54155i
$56$	−2.84682	+	4.26057i	−0.380422	+	0.569342i
$57$	−1.09654	+	0.732684i	−0.145240	+	0.0970463i
$58$	−0.625257	+	3.14338i	−0.0821003	+	0.412746i
$59$	2.75861	−	1.14265i	0.359140	−	0.148761i	−0.195815	−	0.980641i	$-0.562735\pi$
$59$	2.75861	−	1.14265i	0.359140	−	0.148761i	0.554955	+	0.831880i	$0.312735\pi$
$60$	3.59049	−	1.22167i	0.463530	−	0.157716i
$61$	−8.20282	+	5.48095i	−1.05026	+	0.701764i	−0.955876	−	0.293772i	$-0.905089\pi$
$61$	−8.20282	+	5.48095i	−1.05026	+	0.701764i	−0.0943882	+	0.995535i	$0.530089\pi$
$62$	−0.0267743	−	0.0400705i	−0.00340033	−	0.00508896i
$63$	0.123144	+	0.619089i	0.0155147	+	0.0779979i
$64$	−0.707107	−	0.707107i	−0.0883883	−	0.0883883i
$65$	−6.95641	+	0.920882i	−0.862836	+	0.114221i
$66$	−3.32553	+	8.02855i	−0.409345	+	0.988246i
$67$	−7.07294	−	7.07294i	−0.864097	−	0.864097i	0.127714	−	0.991811i	$-0.459236\pi$
$67$	−7.07294	−	7.07294i	−0.864097	−	0.864097i	−0.991811	+	0.127714i	$0.959236\pi$
$68$	1.11272	−	3.97012i	0.134937	−	0.481448i
$69$			0.999058i			0.120272i
$70$	−10.8472	+	3.69078i	−1.29649	+	0.441132i
$71$	7.55981	−	1.50374i	0.897184	−	0.178461i	0.275104	−	0.961414i	$-0.411288\pi$
$71$	7.55981	−	1.50374i	0.897184	−	0.178461i	0.622080	+	0.782953i	$0.286288\pi$
$72$	−0.123185			−0.0145175
$73$	7.03510	−	1.39937i	0.823397	−	0.163784i	0.234628	−	0.972085i	$-0.424613\pi$
$73$	7.03510	−	1.39937i	0.823397	−	0.163784i	0.588769	+	0.808302i	$0.299613\pi$
$74$	−0.429842	+	2.16096i	−0.0499681	+	0.251207i
$75$	8.03441	+	2.71453i	0.927734	+	0.313446i
$76$	0.297551	+	0.718351i	0.0341314	+	0.0824005i
$77$	10.0468	−	24.2551i	1.14494	−	2.76412i
$78$	−5.22038	−	1.03840i	−0.591092	−	0.117575i
$79$	9.46534	+	1.88277i	1.06493	+	0.211829i	0.696303	−	0.717747i	$-0.254827\pi$
$79$	9.46534	+	1.88277i	1.06493	+	0.211829i	0.368630	+	0.929576i	$0.379827\pi$
$80$	−0.293448	−	2.21673i	−0.0328085	−	0.247838i
$81$	6.09192	−	6.09192i	0.676880	−	0.676880i
$82$	1.15889	+	0.774342i	0.127977	+	0.0855118i
$83$	−15.6672	+	6.48955i	−1.71969	+	0.712321i	−0.719860	+	0.694120i	$0.755794\pi$
$83$	−15.6672	+	6.48955i	−1.71969	+	0.712321i	−0.999834	+	0.0182010i	$0.994206\pi$
$84$	−8.69115			−0.948282
$85$	7.37426	−	5.53356i	0.799851	−	0.600199i
$86$	2.76977			0.298672
$87$	−5.02220	+	2.08026i	−0.538437	+	0.223028i
$88$	4.26003	+	2.84646i	0.454120	+	0.303433i
$89$	5.07441	−	5.07441i	0.537886	−	0.537886i	−0.385022	−	0.922908i	$-0.625806\pi$
$89$	5.07441	−	5.07441i	0.537886	−	0.537886i	0.922908	+	0.385022i	$0.125806\pi$
$90$	−0.218649	−	0.167527i	−0.0230476	−	0.0176589i
$91$	15.7713	+	3.13711i	1.65328	+	0.328858i
$92$	0.577708	+	0.114913i	0.0602302	+	0.0119805i
$93$	0.0312805	−	0.0755179i	0.00324364	−	0.00783084i
$94$	−0.727743	−	1.75693i	−0.0750610	−	0.181213i
$95$	−0.448791	+	1.67971i	−0.0460450	+	0.172334i
$96$	0.330896	−	1.66353i	0.0337719	−	0.169783i
$97$	1.77649	−	0.353366i	0.180375	−	0.0358789i	−0.104076	−	0.994569i	$-0.533189\pi$
$97$	1.77649	−	0.353366i	0.180375	−	0.0358789i	0.284451	+	0.958690i	$0.408189\pi$
$98$	19.2568			1.94523
$99$	0.619010	−	0.123129i	0.0622128	−	0.0123749i
$100$	2.49381	−	4.33369i	0.249381	−	0.433369i
$101$			3.59573i			0.357789i	0.983868	+	0.178894i	$0.0572520\pi$
$101$			3.59573i			0.357789i	−0.983868	+	0.178894i	$0.942748\pi$
$102$	6.64747	−	2.17186i	0.658198	−	0.215046i
$103$	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
$105$	−15.4265	−	11.8197i	−1.50547	−	1.15348i
$106$	−8.18729	−	8.18729i	−0.795220	−	0.795220i
$107$	2.50491	+	12.5930i	0.242159	+	1.21742i	0.890114	+	0.455737i	$0.150624\pi$
$107$	2.50491	+	12.5930i	0.242159	+	1.21742i	−0.647956	+	0.761678i	$0.724376\pi$
$108$	−2.94302	−	4.40453i	−0.283192	−	0.423827i
$109$	−1.52870	+	1.02144i	−0.146423	+	0.0978365i	−0.626624	−	0.779322i	$-0.715564\pi$
$109$	−1.52870	+	1.02144i	−0.146423	+	0.0978365i	0.480201	+	0.877158i	$0.340564\pi$
$110$	3.69031	+	10.8458i	0.351857	+	1.03411i
$111$	−3.45259	+	1.43011i	−0.327705	+	0.135740i
$112$	−0.999670	+	5.02568i	−0.0944600	+	0.474882i
$113$	7.83031	−	5.23205i	0.736614	−	0.492190i	−0.129785	−	0.991542i	$-0.541429\pi$
$113$	7.83031	−	5.23205i	0.736614	−	0.492190i	0.866399	+	0.499352i	$0.166429\pi$
$114$	−0.732684	+	1.09654i	−0.0686221	+	0.102700i
$115$	0.869133	+	0.989630i	0.0810471	+	0.0922835i
$116$	0.625257	+	3.14338i	0.0580537	+	0.291856i
$117$	0.147935	+	0.357146i	0.0136766	+	0.0330181i
$118$	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
$122$	−5.48095	+	8.20282i	−0.496222	+	0.742649i
$123$			2.36401i			0.213156i
$124$	−0.0400705	−	0.0267743i	−0.00359844	−	0.00240440i
$125$	10.3201	−	4.30065i	0.923058	−	0.384662i
$126$	0.350686	+	0.524838i	0.0312416	+	0.0467563i
$127$	−1.26783	−	0.525151i	−0.112501	−	0.0465996i	0.325723	−	0.945465i	$-0.394392\pi$
$127$	−1.26783	−	0.525151i	−0.112501	−	0.0465996i	−0.438224	+	0.898866i	$0.644392\pi$
$128$	−0.923880	−	0.382683i	−0.0816602	−	0.0338248i
$129$	2.60999	+	3.90612i	0.229797	+	0.343915i
$130$	−6.07447	+	3.51288i	−0.532767	+	0.308100i
$131$	0.556247	+	0.371672i	0.0485995	+	0.0324731i	0.579633	−	0.814878i	$-0.303196\pi$
$131$	0.556247	+	0.371672i	0.0485995	+	0.0324731i	−0.531033	+	0.847351i	$0.678196\pi$
$132$			8.69004i			0.756371i
$133$	2.21351	−	3.31275i	0.191936	−	0.287252i
$134$	−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	$0.951044\pi$
$138$	0.382323	+	0.923009i	0.0325455	+	0.0785717i
$139$	2.60733	+	13.1079i	0.221151	+	1.11180i	0.918607	+	0.395172i	$0.129315\pi$
$139$	2.60733	+	13.1079i	0.221151	+	1.11180i	−0.697456	+	0.716627i	$0.745685\pi$
$140$	−8.60913	+	7.56089i	−0.727604	+	0.639012i
$141$	1.79198	−	2.68189i	0.150912	−	0.225856i
$142$	6.40890	−	4.28229i	0.537823	−	0.359362i
$143$	3.13671	−	15.7693i	0.262304	−	1.31869i
$144$	−0.113808	+	0.0471409i	−0.00948401	+	0.00392841i
$145$	−3.16508	+	6.42971i	−0.262845	+	0.533959i
$146$	5.96407	−	3.98507i	0.493590	−	0.329806i
$147$	18.1459	+	27.1573i	1.49665	+	2.23990i
$148$	0.429842	+	2.16096i	0.0353328	+	0.177630i
$149$	−5.33611	−	5.33611i	−0.437151	−	0.437151i	0.453901	−	0.891052i	$-0.350032\pi$
$149$	−5.33611	−	5.33611i	−0.437151	−	0.437151i	−0.891052	+	0.453901i	$0.850032\pi$
$150$	8.46163	−	0.566741i	0.690889	−	0.0462742i
$151$	2.08948	−	5.04445i	0.170039	−	0.410511i	−0.815771	−	0.578375i	$-0.803687\pi$
$151$	2.08948	−	5.04445i	0.170039	−	0.410511i	0.985810	+	0.167864i	$0.0536870\pi$
$152$	0.549802	+	0.549802i	0.0445949	+	0.0445949i
$153$	−0.399377	−	0.313791i	−0.0322878	−	0.0253685i
$154$		−	26.2535i		−	2.11557i
$155$	−0.0347116	−	0.102018i	−0.00278811	−	0.00819427i
$156$	−5.22038	+	1.03840i	−0.417965	+	0.0831384i
$157$	2.81882			0.224966			0.112483	−	0.993654i	$-0.464120\pi$
$157$	2.81882			0.224966			0.112483	+	0.993654i	$0.464120\pi$
$158$	9.46534	−	1.88277i	0.753022	−	0.149785i
$159$	3.83131	−	19.2613i	0.303842	−	1.52752i
$160$	−1.11942	−	1.93569i	−0.0884976	−	0.153030i
$161$	−1.15504	−	2.78850i	−0.0910296	−	0.219765i
$162$	3.29692	−	7.95947i	0.259031	−	0.625355i
$163$	−14.7782	−	2.93957i	−1.15752	−	0.230245i	−0.421258	−	0.906941i	$-0.638411\pi$
$163$	−14.7782	−	2.93957i	−1.15752	−	0.230245i	−0.736263	+	0.676696i	$0.763411\pi$
$164$	1.36700	+	0.271913i	0.106745	+	0.0212328i
$165$	−11.8181	+	15.4245i	−0.920042	+	1.20080i
$166$	−11.9911	+	11.9911i	−0.930692	+	0.930692i
$167$	−17.4048	−	11.6295i	−1.34682	−	0.899918i	−0.347535	−	0.937667i	$-0.612981\pi$
$167$	−17.4048	−	11.6295i	−1.34682	−	0.899918i	−0.999287	+	0.0377492i	$0.987981\pi$
$168$	−8.02957	+	3.32596i	−0.619495	+	0.256603i
$169$	−3.15208			−0.242468
$170$	4.69533	−	7.93435i	0.360115	−	0.608537i
$171$	0.0957810			0.00732456
$172$	2.55893	−	1.05995i	0.195117	−	0.0808201i
$173$	3.21875	+	2.15070i	0.244717	+	0.163515i	0.671880	−	0.740660i	$-0.265487\pi$
$173$	3.21875	+	2.15070i	0.244717	+	0.163515i	−0.427163	+	0.904175i	$0.640487\pi$
$174$	−3.84383	+	3.84383i	−0.291400	+	0.291400i
$175$	−25.5634	+	1.71218i	−1.93241	+	0.129429i
$176$	5.02504	+	0.999543i	0.378777	+	0.0753434i
$177$	4.96712	+	0.988021i	0.373351	+	0.0742642i
$178$	2.74625	−	6.63003i	0.205840	−	0.496942i
$179$	−4.32045	−	10.4305i	−0.322925	−	0.779611i	−0.999081	−	0.0428525i	$-0.986355\pi$
$179$	−4.32045	−	10.4305i	−0.322925	−	0.779611i	0.676156	−	0.736759i	$-0.263645\pi$
$180$	−0.266115	−	0.0711017i	−0.0198351	−	0.00529961i
$181$	−4.26838	+	21.4586i	−0.317266	+	1.59501i	0.412268	+	0.911062i	$0.364737\pi$
$181$	−4.26838	+	21.4586i	−0.317266	+	1.59501i	−0.729535	+	0.683944i	$0.760263\pi$
$182$	15.7713	−	3.13711i	1.16905	−	0.232538i
$183$	−16.7330			−1.23694
$184$	0.577708	−	0.114913i	0.0425892	−	0.00847152i
$185$	−2.17588	+	4.42020i	−0.159974	+	0.324979i
$186$		−	0.0817400i		−	0.00599347i
$187$	6.56057	+	20.0801i	0.479756	+	1.46840i
$188$	−1.34469	−	1.34469i	−0.0980719	−	0.0980719i
$189$	−10.3876	+	25.0778i	−0.755585	+	1.82414i
$190$	0.228167	+	1.72359i	0.0165530	+	0.125042i
$191$	−11.6739	−	11.6739i	−0.844692	−	0.844692i	0.144773	−	0.989465i	$-0.453755\pi$
$191$	−11.6739	−	11.6739i	−0.844692	−	0.844692i	−0.989465	+	0.144773i	$0.953755\pi$
$192$	−0.330896	−	1.66353i	−0.0238804	−	0.120055i
$193$	1.94079	+	2.90460i	0.139701	+	0.209078i	0.894722	−	0.446623i	$-0.147373\pi$
$193$	1.94079	+	2.90460i	0.139701	+	0.209078i	−0.755021	+	0.655700i	$0.772373\pi$
$194$	1.50604	−	1.00630i	0.108127	−	0.0722482i
$195$	−10.6782	−	5.25642i	−0.764680	−	0.376420i
$196$	17.7910	−	7.36927i	1.27078	−	0.526376i
$197$	−0.974422	+	4.89875i	−0.0694247	+	0.349022i	−0.999847	−	0.0174665i	$-0.994440\pi$
$197$	−0.974422	+	4.89875i	−0.0694247	+	0.349022i	0.930423	+	0.366488i	$0.119440\pi$
$198$	0.524771	−	0.350641i	0.0372939	−	0.0249190i
$199$	6.52396	−	9.76379i	0.462471	−	0.692137i	−0.524793	−	0.851230i	$-0.675857\pi$
$199$	6.52396	−	9.76379i	0.462471	−	0.692137i	0.987264	+	0.159093i	$0.0508571\pi$
$200$	0.645551	−	4.95815i	0.0456474	−	0.350594i
$201$	−3.30984	−	16.6397i	−0.233458	−	1.17367i
$202$	1.37603	+	3.32202i	0.0968169	+	0.233737i
$203$	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
$207$	0.0403117	−	0.0603308i	0.00280186	−	0.00419328i
$208$			3.13814i			0.217591i
$209$	−3.31233	−	2.21323i	−0.229119	−	0.153092i
$210$	−18.7754	−	5.01648i	−1.29562	−	0.346170i
$211$	−6.28170	−	9.40123i	−0.432450	−	0.647207i	0.549688	−	0.835370i	$-0.314747\pi$
$211$	−6.28170	−	9.40123i	−0.432450	−	0.647207i	−0.982138	+	0.188163i	$0.939747\pi$
$212$	−10.6972	−	4.43093i	−0.734687	−	0.304317i
$213$	12.0784	+	5.00302i	0.827596	+	0.342802i
$214$	7.13338	+	10.6759i	0.487628	+	0.729787i
$215$	5.98350	+	1.59870i	0.408072	+	0.109030i
$216$	−4.40453	−	2.94302i	−0.299691	−	0.200247i
$217$			0.246945i			0.0167637i
$218$	−1.02144	+	1.52870i	−0.0691808	+	0.103536i
$219$	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
$223$	4.64271	+	11.2085i	0.310899	+	0.750577i	0.999672	+	0.0255998i	$0.00814957\pi$
$223$	4.64271	+	11.2085i	0.310899	+	0.750577i	−0.688773	+	0.724977i	$0.741850\pi$
$224$	0.999670	+	5.02568i	0.0667933	+	0.335793i
$225$	−0.375649	−	0.488110i	−0.0250433	−	0.0325407i
$226$	5.23205	−	7.83031i	0.348031	−	0.520865i
$227$	−5.48783	+	3.66685i	−0.364240	+	0.243377i	−0.724199	−	0.689591i	$-0.757791\pi$
$227$	−5.48783	+	3.66685i	−0.364240	+	0.243377i	0.359959	+	0.932968i	$0.382791\pi$
$228$	−0.257284	+	1.29346i	−0.0170391	+	0.0856612i
$229$	−8.19020	+	3.39249i	−0.541223	+	0.224182i	−0.636511	−	0.771268i	$-0.719623\pi$
$229$	−8.19020	+	3.39249i	−0.541223	+	0.224182i	0.0952875	+	0.995450i	$0.469623\pi$
$230$	1.18169	+	0.581696i	0.0779183	+	0.0383559i
$231$	37.0245	−	24.7390i	2.43603	−	1.62771i
$232$	1.78058	+	2.66483i	0.116901	+	0.174955i
$233$	2.12944	+	10.7054i	0.139504	+	0.701336i	0.985706	+	0.168474i	$0.0538838\pi$
$233$	2.12944	+	10.7054i	0.139504	+	0.701336i	−0.846202	+	0.532863i	$0.821116\pi$
$234$	0.273348	+	0.273348i	0.0178693	+	0.0178693i
$235$	−0.558046	−	4.21552i	−0.0364029	−	0.274990i
$236$	1.14265	−	2.75861i	0.0743803	−	0.179570i
$237$	11.5745	+	11.5745i	0.751846	+	0.751846i
$238$	−16.0430	+	13.7473i	−1.03992	+	0.891102i
$239$		−	2.34241i		−	0.151518i	−0.997126	−	0.0757590i	$-0.975862\pi$
$239$		−	2.34241i		−	0.151518i	0.997126	−	0.0757590i	$-0.0241380\pi$
$240$	1.67501	−	3.40271i	0.108121	−	0.219644i
$241$	13.5797	−	2.70117i	0.874744	−	0.173997i	0.262754	−	0.964863i	$-0.415369\pi$
$241$	13.5797	−	2.70117i	0.874744	−	0.173997i	0.611990	+	0.790865i	$0.290369\pi$
$242$	−15.2501			−0.980316
$243$	−1.25477	+	0.249590i	−0.0804937	+	0.0160112i
$244$	−1.92465	+	9.67589i	−0.123213	+	0.619435i
$245$	41.6003	+	11.1149i	2.65775	+	0.710107i
$246$	0.904669	+	2.18406i	0.0576796	+	0.139251i
$247$	0.933756	−	2.25429i	0.0594135	−	0.143437i
$248$	−0.0472664	−	0.00940187i	−0.00300142	−	0.000597019i
$249$	−28.2101	−	5.61134i	−1.78774	−	0.355604i
$250$	7.88874	−	7.92261i	0.498928	−	0.501070i
$251$	−0.979211	+	0.979211i	−0.0618073	+	0.0618073i	−0.737335	−	0.675528i	$-0.763916\pi$
$251$	−0.979211	+	0.979211i	−0.0618073	+	0.0618073i	0.675528	+	0.737335i	$0.263916\pi$
$252$	0.524838	+	0.350686i	0.0330617	+	0.0220911i
$253$	−2.78815	+	1.15489i	−0.175289	+	0.0726072i
$254$	−1.37229			−0.0861049
$255$	15.6140	−	0.854956i	0.977789	−	0.0535394i
$256$	−1.00000			−0.0625000
$257$	18.0459	−	7.47486i	1.12567	−	0.466269i	0.259365	−	0.965779i	$-0.416487\pi$
$257$	18.0459	−	7.47486i	1.12567	−	0.466269i	0.866308	+	0.499510i	$0.166487\pi$
$258$	3.90612	+	2.60999i	0.243185	+	0.162491i
$259$	7.98324	−	7.98324i	0.496054	−	0.496054i
$260$	−4.26776	+	5.57008i	−0.264675	+	0.345442i
$261$	0.387217	+	0.0770223i	0.0239682	+	0.00476756i
$262$	0.656138	+	0.130514i	0.0405363	+	0.00806317i
$263$	4.85089	−	11.7111i	0.299118	−	0.722136i	−0.700843	−	0.713316i	$-0.747193\pi$
$263$	4.85089	−	11.7111i	0.299118	−	0.722136i	0.999961	−	0.00881987i	$-0.00280749\pi$
$264$	3.32553	+	8.02855i	0.204672	+	0.494123i
$265$	−12.9612	−	22.4126i	−0.796203	−	1.37679i
$266$	0.777282	−	3.90766i	0.0476582	−	0.239594i
$267$	11.9380	−	2.37461i	0.730591	−	0.145324i
$268$	−10.0027			−0.611009
$269$	−3.45487	+	0.687216i	−0.210647	+	0.0419003i	−0.299286	−	0.954164i	$-0.596748\pi$
$269$	−3.45487	+	0.687216i	−0.210647	+	0.0419003i	0.0886386	+	0.996064i	$0.471748\pi$
$270$	−3.81549	−	11.2138i	−0.232203	−	0.682448i
$271$		−	16.6923i		−	1.01399i	−0.861950	−	0.506993i	$-0.830757\pi$
$271$		−	16.6923i		−	1.01399i	0.861950	−	0.506993i	$-0.169243\pi$
$272$	−2.02049	−	3.59411i	−0.122510	−	0.217925i
$273$	19.2857	+	19.2857i	1.16722	+	1.16722i
$274$	−7.23018	+	17.4552i	−0.436791	+	1.05451i
$275$	1.71196	+	25.5602i	0.103235	+	1.54134i
$276$	0.706440	+	0.706440i	0.0425227	+	0.0425227i
$277$	−5.89170	−	29.6196i	−0.353998	−	1.77967i	−0.589474	−	0.807787i	$-0.700665\pi$
$277$	−5.89170	−	29.6196i	−0.353998	−	1.77967i	0.235476	−	0.971880i	$-0.424335\pi$
$278$	7.42504	+	11.1124i	0.445324	+	0.666475i
$279$	−0.00493609	+	0.00329819i	−0.000295516	+	0.000197457i
$280$	−5.06037	+	10.2799i	−0.302415	+	0.614343i
$281$	−9.95023	+	4.12152i	−0.593581	+	0.245869i	−0.659190	−	0.751976i	$-0.729101\pi$
$281$	−9.95023	+	4.12152i	−0.593581	+	0.245869i	0.0656095	+	0.997845i	$0.479101\pi$
$282$	0.629260	−	3.16350i	0.0374719	−	0.188384i
$283$	20.9307	−	13.9854i	1.24420	−	0.831348i	0.253489	−	0.967338i	$-0.418422\pi$
$283$	20.9307	−	13.9854i	1.24420	−	0.831348i	0.990710	+	0.135991i	$0.0434217\pi$
$284$	4.28229	−	6.40890i	0.254107	−	0.380298i
$285$	−2.21572	+	1.94594i	−0.131248	+	0.115267i
$286$	−3.13671	−	15.7693i	−0.185477	−	0.932457i
$287$	−2.73310	−	6.59828i	−0.161330	−	0.389484i
$288$	−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
$292$	3.98507	−	5.96407i	0.233208	−	0.349021i
$293$		−	8.81242i		−	0.514827i	−0.966301	−	0.257414i	$-0.917130\pi$
$293$		−	8.81242i		−	0.514827i	0.966301	−	0.257414i	$-0.0828702\pi$
$294$	27.1573	+	18.1459i	1.58385	+	1.05829i
$295$	5.77978	−	3.34246i	0.336512	−	0.194606i
$296$	1.22409	+	1.83197i	0.0711486	+	0.106481i
$297$	25.0746	+	10.3863i	1.45498	+	0.602672i
$298$	−6.97196	−	2.88788i	−0.403875	−	0.167290i
$299$	−1.02694	−	1.53693i	−0.0593896	−	0.0888828i
$300$	7.60064	−	3.76173i	0.438823	−	0.217183i
$301$	−11.8008	−	7.88504i	−0.680187	−	0.454486i
$302$		−	5.46007i		−	0.314192i
$303$	−3.38830	+	5.07095i	−0.194653	+	0.291319i
$304$	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	$0.229660\pi$
$308$	−10.0468	−	24.2551i	−0.572468	−	1.38206i
$309$	3.40805	+	17.1334i	0.193877	+	0.974685i
$310$	−0.0711099	−	0.0809686i	−0.00403877	−	0.00459871i
$311$	−3.10147	+	4.64168i	−0.175868	+	0.263205i	−0.908923	−	0.416964i	$-0.863094\pi$
$311$	−3.10147	+	4.64168i	−0.175868	+	0.263205i	0.733055	+	0.680170i	$0.238094\pi$
$312$	−4.42562	+	2.95711i	−0.250552	+	0.167413i
$313$	−5.87011	+	29.5110i	−0.331798	+	1.66806i	0.350174	+	0.936685i	$0.386122\pi$
$313$	−5.87011	+	29.5110i	−0.331798	+	1.66806i	−0.681973	+	0.731378i	$0.738878\pi$
$314$	2.60425	−	1.07872i	0.146966	−	0.0608754i
$315$	0.454648	+	1.33622i	0.0256165	+	0.0752872i
$316$	8.02433	−	5.36168i	0.451404	−	0.301618i
$317$	6.01051	+	8.99537i	0.337584	+	0.505230i	0.960958	−	0.276693i	$-0.0892386\pi$
$317$	6.01051	+	8.99537i	0.337584	+	0.505230i	−0.623374	+	0.781924i	$0.714239\pi$
$318$	−3.83131	−	19.2613i	−0.214849	−	1.08012i
$319$	−11.6111	−	11.6111i	−0.650097	−	0.650097i
$320$	−1.77496	−	1.35996i	−0.0992235	−	0.0760244i
$321$	−8.33398	+	20.1200i	−0.465157	+	1.12299i
$322$	−2.13423	−	2.13423i	−0.118936	−	0.118936i
$323$	0.381989	+	3.18303i	0.0212545	+	0.177109i
$324$		−	8.61527i		−	0.478626i
$325$	−15.1502	+	4.08269i	−0.840384	+	0.226467i
$326$	−14.7782	+	2.93957i	−0.818491	+	0.162808i
$327$	−3.11839			−0.172448
$328$	1.36700	−	0.271913i	0.0754799	−	0.0150139i
$329$	−1.90106	+	9.55727i	−0.104809	+	0.526909i
$330$	−5.01584	+	18.7730i	−0.276113	+	1.03342i
$331$	8.07529	+	19.4955i	0.443858	+	1.07157i	0.974583	+	0.224025i	$0.0719197\pi$
$331$	8.07529	+	19.4955i	0.443858	+	1.07157i	−0.530725	+	0.847544i	$0.678080\pi$
$332$	−6.48955	+	15.6672i	−0.356160	+	0.859847i
$333$	0.266198	+	0.0529501i	0.0145876	+	0.00290165i
$334$	−20.5303	−	4.08374i	−1.12337	−	0.223452i
$335$	−17.7543	−	13.6033i	−0.970023	−	0.743225i
$336$	−6.14557	+	6.14557i	−0.335268	+	0.335268i
$337$	−22.4356	−	14.9910i	−1.22214	−	0.816610i	−0.234315	−	0.972161i	$-0.575285\pi$
$337$	−22.4356	−	14.9910i	−1.22214	−	0.816610i	−0.987828	+	0.155551i	$0.950285\pi$
$338$	−2.91214	+	1.20625i	−0.158400	+	0.0656113i
$339$	15.9731			0.867539
$340$	1.30157	−	9.12721i	0.0705877	−	0.494992i
$341$	0.246913			0.0133711
$342$	0.0884901	−	0.0366538i	0.00478500	−	0.00198201i
$343$	−52.2210	−	34.8930i	−2.81967	−	1.88404i
$344$	1.95852	−	1.95852i	0.105597	−	0.105597i
$345$	0.293172	+	2.21464i	0.0157838	+	0.119232i
$346$	3.79677	+	0.755225i	0.204116	+	0.0406012i
$347$	−29.8614	−	5.93981i	−1.60305	−	0.318866i	−0.689089	−	0.724676i	$-0.741989\pi$
$347$	−29.8614	−	5.93981i	−1.60305	−	0.318866i	−0.913957	+	0.405811i	$0.866989\pi$
$348$	−2.08026	+	5.02220i	−0.111514	+	0.269218i
$349$	−6.97374	−	16.8361i	−0.373296	−	0.901216i	−0.993187	−	0.116528i	$-0.962823\pi$
$349$	−6.97374	−	16.8361i	−0.373296	−	0.901216i	0.619891	−	0.784688i	$-0.287177\pi$
$350$	−22.9623	+	11.3646i	−1.22739	+	0.607461i
$351$	−3.24311	+	16.3042i	−0.173104	+	0.870255i
$352$	5.02504	−	0.999543i	0.267836	−	0.0532758i
$353$	14.1949			0.755516			0.377758	−	0.925904i	$-0.376695\pi$
$353$	14.1949			0.755516			0.377758	+	0.925904i	$0.376695\pi$
$354$	4.96712	−	0.988021i	0.263999	−	0.0525127i
$355$	16.3168	−	5.55180i	0.866005	−	0.294659i
$356$		−	7.17629i		−	0.380343i
$357$	−34.5049	−	9.67081i	−1.82619	−	0.511833i
$358$	−7.98315	−	7.98315i	−0.421922	−	0.421922i
$359$	2.50484	−	6.04721i	0.132200	−	0.319159i	−0.843893	−	0.536511i	$-0.819742\pi$
$359$	2.50484	−	6.04721i	0.132200	−	0.319159i	0.976093	+	0.217352i	$0.0697419\pi$
$360$	−0.273068	+	0.0361484i	−0.0143919	+	0.00190519i
$361$	13.0075	+	13.0075i	0.684607	+	0.684607i
$362$	4.26838	+	21.4586i	0.224341	+	1.12784i
$363$	−14.3704	−	21.5068i	−0.754250	−	1.12881i
$364$	13.3703	−	8.93372i	0.700792	−	0.468254i
$365$	15.1843	−	5.16646i	0.794781	−	0.270425i
$366$	−15.4592	+	6.40343i	−0.808068	+	0.334713i
$367$	−3.94067	+	19.8111i	−0.205701	+	1.03413i	0.730567	+	0.682842i	$0.239256\pi$
$367$	−3.94067	+	19.8111i	−0.205701	+	1.03413i	−0.936268	+	0.351288i	$0.885744\pi$
$368$	0.489757	−	0.327245i	0.0255304	−	0.0170588i
$369$	0.0953874	−	0.142757i	0.00496567	−	0.00743165i
$370$	−0.318713	+	4.91640i	−0.0165691	+	0.255592i
$371$	11.5748	+	58.1902i	0.600932	+	3.02109i
$372$	−0.0312805	−	0.0755179i	−0.00162182	−	0.00391542i
$373$	11.2360	−	11.2360i	0.581778	−	0.581778i	−0.353614	−	0.935391i	$-0.615047\pi$
$373$	11.2360	−	11.2360i	0.581778	−	0.581778i	0.935391	+	0.353614i	$0.115047\pi$
$374$	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
$377$	5.58771	−	8.36261i	0.287782	−	0.430696i
$378$			27.1441i			1.39614i
$379$	−14.5976	−	9.75378i	−0.749827	−	0.501018i	0.120973	−	0.992656i	$-0.461398\pi$
$379$	−14.5976	−	9.75378i	−0.749827	−	0.501018i	−0.870800	+	0.491638i	$0.836398\pi$
$380$	0.870389	+	1.50507i	0.0446500	+	0.0772087i
$381$	−1.29312	−	1.93529i	−0.0662487	−	0.0991481i
$382$	−15.2527	−	6.31786i	−0.780394	−	0.323250i
$383$	32.4612	+	13.4459i	1.65869	+	0.687052i	0.997976	−	0.0635858i	$-0.0202536\pi$
$383$	32.4612	+	13.4459i	1.65869	+	0.687052i	0.660714	+	0.750638i	$0.270254\pi$
$384$	−0.942312	−	1.41027i	−0.0480872	−	0.0719676i
$385$	15.1534	−	56.7151i	0.772287	−	2.89047i
$386$	2.90460	+	1.94079i	0.147840	+	0.0987837i
$387$		−	0.341194i		−	0.0173439i
$388$	1.00630	−	1.50604i	0.0510872	−	0.0764574i
$389$	7.77876	+	3.22207i	0.394399	+	0.163365i	0.571064	−	0.820906i	$-0.306531\pi$
$389$	7.77876	+	3.22207i	0.394399	+	0.163365i	−0.176665	+	0.984271i	$0.556531\pi$
$390$	−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
$393$	0.434227	+	1.04832i	0.0219038	+	0.0528806i
$394$	0.974422	+	4.89875i	0.0490907	+	0.246796i
$395$	21.5346	+	1.39601i	1.08352	+	0.0702409i
$396$	0.350641	−	0.524771i	0.0176204	−	0.0263708i
$397$	−8.65471	+	5.78289i	−0.434367	+	0.290235i	−0.753466	−	0.657486i	$-0.771620\pi$
$397$	−8.65471	+	5.78289i	−0.434367	+	0.290235i	0.319099	+	0.947721i	$0.396620\pi$
$398$	2.29091	−	11.5172i	0.114833	−	0.577304i
$399$	6.24330	−	2.58606i	0.312556	−	0.129465i
$400$	−1.30099	−	4.82778i	−0.0650495	−	0.241389i
$401$	−13.5931	+	9.08260i	−0.678805	+	0.453563i	−0.846580	−	0.532262i	$-0.821342\pi$
$401$	−13.5931	+	9.08260i	−0.678805	+	0.453563i	0.167774	+	0.985825i	$0.446342\pi$
$402$	−9.42562	−	14.1064i	−0.470107	−	0.703565i
$403$	0.0295044	+	0.148329i	0.00146972	+	0.00738877i
$404$	2.54257	+	2.54257i	0.126497	+	0.126497i
$405$	11.7165	−	15.2918i	0.582196	−	0.759855i
$406$	6.28469	−	15.1726i	0.311904	−	0.753003i
$407$	−7.98222	−	7.98222i	−0.395664	−	0.395664i
$408$	3.16474	−	6.23621i	0.156678	−	0.308738i
$409$			5.87770i			0.290634i	0.989385	+	0.145317i	$0.0464201\pi$
$409$			5.87770i			0.290634i	−0.989385	+	0.145317i	$0.953580\pi$
$410$	2.79616	+	1.37643i	0.138093	+	0.0679772i
$411$	−31.4296	+	6.25174i	−1.55031	+	0.308376i
$412$	10.2994			0.507417
$413$	−15.0062	+	2.98491i	−0.738405	+	0.146878i
$414$	0.0141556	−	0.0711650i	0.000695710	−	0.00349757i
$415$	−32.8255	+	18.9831i	−1.61134	+	0.931842i
$416$	1.20091	+	2.89926i	0.0588797	+	0.142148i
$417$	−8.67472	+	20.9426i	−0.424803	+	1.02557i
$418$	−3.90716	−	0.777183i	−0.191105	−	0.0380132i
$419$	−21.6750	−	4.31142i	−1.05889	−	0.210627i	−0.365222	−	0.930920i	$-0.619007\pi$
$419$	−21.6750	−	4.31142i	−1.05889	−	0.210627i	−0.693669	+	0.720294i	$0.744007\pi$
$420$	−19.2659	+	2.55040i	−0.940081	+	0.124447i
$421$	−11.7321	+	11.7321i	−0.571789	+	0.571789i	−0.932628	−	0.360839i	$-0.882490\pi$
$421$	−11.7321	+	11.7321i	−0.571789	+	0.571789i	0.360839	+	0.932628i	$0.382490\pi$
$422$	−9.40123	−	6.28170i	−0.457645	−	0.305788i
$423$	−0.216427	+	0.0896471i	−0.0105231	+	0.00435879i
$424$	−11.5786			−0.562305
$425$	14.7229	−	14.4304i	0.714167	−	0.699976i
$426$	13.0735			0.633415
$427$	46.7039	−	19.3454i	2.26016	−	0.936190i
$428$	10.6759	+	7.13338i	0.516037	+	0.344805i
$429$	19.2832	−	19.2832i	0.931001	−	0.931001i
$430$	6.13983	−	0.812784i	0.296089	−	0.0391959i
$431$	−3.13334	−	0.623260i	−0.150928	−	0.0300214i	0.119048	−	0.992888i	$-0.462016\pi$
$431$	−3.13334	−	0.623260i	−0.150928	−	0.0300214i	−0.269976	+	0.962867i	$0.587016\pi$
$432$	−5.19550	−	1.03345i	−0.249969	−	0.0497219i
$433$	−10.6457	+	25.7010i	−0.511600	+	1.23511i	0.431352	+	0.902184i	$0.358037\pi$
$433$	−10.6457	+	25.7010i	−0.511600	+	1.23511i	−0.942952	+	0.332928i	$0.891963\pi$
$434$	0.0945016	+	0.228147i	0.00453622	+	0.0109514i
$435$	−10.5224	+	6.08514i	−0.504511	+	0.291760i
$436$	−0.358683	+	1.80322i	−0.0171778	+	0.0863586i
$437$	−0.449190	+	0.0893494i	−0.0214877	+	0.00427416i
$438$	12.1661			0.581320
$439$	26.9898	−	5.36860i	1.28815	−	0.256230i	0.496948	−	0.867780i	$-0.334454\pi$
$439$	26.9898	−	5.36860i	1.28815	−	0.256230i	0.791205	+	0.611551i	$0.209454\pi$
$440$	10.2786	+	5.05973i	0.490013	+	0.241213i
$441$		−	2.37215i		−	0.112960i
$442$	−7.99384	+	10.1741i	−0.380228	+	0.483935i
$443$	−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
$445$	9.75951	−	12.7377i	0.462645	−	0.603823i
$446$	8.57861	+	8.57861i	0.406209	+	0.406209i
$447$	−2.49707	−	12.5536i	−0.118108	−	0.593767i
$448$	2.84682	+	4.26057i	0.134500	+	0.201293i
$449$	−13.7829	+	9.20944i	−0.650456	+	0.434621i	−0.836534	−	0.547914i	$-0.815422\pi$
$449$	−13.7829	+	9.20944i	−0.650456	+	0.434621i	0.186079	+	0.982535i	$0.440422\pi$
$450$	−0.533846	−	0.307201i	−0.0251657	−	0.0144816i
$451$	−6.59744	+	2.73275i	−0.310661	+	0.128680i
$452$	1.83725	−	9.23648i	0.0864170	−	0.434448i
$453$	7.70017	−	5.14509i	0.361786	−	0.241737i
$454$	−3.66685	+	5.48783i	−0.172094	+	0.257557i
$455$	35.8813	+	2.32605i	1.68214	+	0.109047i
$456$	0.257284	+	1.29346i	0.0120484	+	0.0605716i
$457$	4.40392	+	10.6320i	0.206007	+	0.497344i	0.992787	−	0.119889i	$-0.0382538\pi$
$457$	4.40392	+	10.6320i	0.206007	+	0.497344i	−0.786781	+	0.617233i	$0.788254\pi$
$458$	−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	0.508444	−	0.861095i	$-0.330221\pi$
$461$	5.56273	+	2.30416i	0.259082	+	0.107315i	−0.249362	+	0.968410i	$0.580221\pi$
$462$	24.7390	−	37.0245i	1.15096	−	1.72254i
$463$			16.9129i			0.786008i	0.919537	+	0.393004i	$0.128564\pi$
$463$			16.9129i			0.786008i	−0.919537	+	0.393004i	$0.871436\pi$
$464$	2.66483	+	1.78058i	0.123712	+	0.0826614i
$465$	0.0471799	−	0.176582i	0.00218791	−	0.00818879i
$466$	6.06414	+	9.07563i	0.280916	+	0.420420i
$467$	16.2273	+	6.72155i	0.750908	+	0.311036i	0.725112	−	0.688631i	$-0.241788\pi$
$467$	16.2273	+	6.72155i	0.750908	+	0.311036i	0.0257959	+	0.999667i	$0.491788\pi$
$468$	0.357146	+	0.147935i	0.0165091	+	0.00683828i
$469$	28.4757	+	42.6170i	1.31489	+	1.96787i
$470$	−2.12878	−	3.68108i	−0.0981932	−	0.169795i
$471$	3.97530	+	2.65621i	0.183172	+	0.122392i
$472$		−	2.98589i		−	0.137437i
$473$	−7.88403	+	11.7993i	−0.362508	+	0.542532i
$474$	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
$478$	−0.896403	−	2.16411i	−0.0410005	−	0.0989840i
$479$	0.867654	+	4.36199i	0.0396441	+	0.199304i	0.995532	−	0.0944285i	$-0.0301024\pi$
$479$	0.867654	+	4.36199i	0.0396441	+	0.199304i	−0.955888	+	0.293733i	$0.905102\pi$
$480$	0.245348	−	3.78469i	0.0111985	−	0.172747i
$481$	3.84135	−	5.74899i	0.175151	−	0.262132i
$482$	11.5123	−	7.69227i	0.524371	−	0.350373i
$483$	0.998728	−	5.02095i	0.0454437	−	0.228461i
$484$	−14.0893	+	5.83597i	−0.640422	+	0.265272i
$485$	3.83430	−	1.30462i	0.174107	−	0.0592399i
$486$	−1.06375	+	0.710772i	−0.0482525	+	0.0322413i
$487$	−5.37519	−	8.04454i	−0.243573	−	0.364533i	0.689460	−	0.724324i	$-0.257848\pi$
$487$	−5.37519	−	8.04454i	−0.243573	−	0.364533i	−0.933033	+	0.359791i	$0.882848\pi$
$488$	1.92465	+	9.67589i	0.0871250	+	0.438007i
$489$	−18.0713	−	18.0713i	−0.817213	−	0.817213i
$490$	42.6872	−	5.65088i	1.92841	−	0.255281i
$491$	14.6501	−	35.3685i	0.661150	−	1.59616i	−0.134854	−	0.990866i	$-0.543056\pi$
$491$	14.6501	−	35.3685i	0.661150	−	1.59616i	0.796004	−	0.605292i	$-0.206944\pi$
$492$	1.67161	+	1.67161i	0.0753620	+	0.0753620i
$493$	−1.01535	+	13.1753i	−0.0457292	+	0.593387i
$494$		−	2.44002i		−	0.109782i
$495$	1.33605	−	0.454591i	0.0600508	−	0.0204323i
$496$	−0.0472664	+	0.00940187i	−0.00212232	+	0.000422156i
$497$	−39.4965			−1.77166
$498$	−28.2101	+	5.61134i	−1.26413	+	0.251450i
$499$	−0.578259	+	2.90710i	−0.0258864	+	0.130140i	−0.991568	−	0.129591i	$-0.958634\pi$
$499$	−0.578259	+	2.90710i	−0.0258864	+	0.130140i	0.965681	+	0.259730i	$0.0836337\pi$
$500$	4.25640	−	10.3384i	0.190352	−	0.462349i
$501$	−13.5868	−	32.8015i	−0.607014	−	1.46546i
$502$	−0.529945	+	1.27940i	−0.0236526	+	0.0571025i
$503$	18.4949	+	3.67885i	0.824645	+	0.164032i	0.589335	−	0.807889i	$-0.299390\pi$
$503$	18.4949	+	3.67885i	0.824645	+	0.164032i	0.235309	+	0.971921i	$0.424390\pi$
$504$	0.619089	+	0.123144i	0.0275764	+	0.00548529i
$505$	1.05516	+	7.97076i	0.0469541	+	0.354694i
$506$	−2.13396	+	2.13396i	−0.0948659	+	0.0948659i
$507$	−4.44528	−	2.97024i	−0.197422	−	0.131913i
$508$	−1.26783	+	0.525151i	−0.0562507	+	0.0232998i
$509$	−5.30040			−0.234936			−0.117468	−	0.993077i	$-0.537478\pi$
$509$	−5.30040			−0.234936			−0.117468	+	0.993077i	$0.537478\pi$
$510$	14.0983	−	6.76511i	0.624284	−	0.299564i
$511$	−36.7551			−1.62595
$512$	−0.923880	+	0.382683i	−0.0408301	+	0.0169124i
$513$	3.42469	+	2.28831i	0.151204	+	0.101031i
$514$	13.8117	−	13.8117i	0.609210	−	0.609210i
$515$	18.2811	+	14.0069i	0.805563	+	0.617217i
$516$	4.60759	+	0.916506i	0.202838	+	0.0403469i
$517$	9.55605	+	1.90082i	0.420274	+	0.0835978i
$518$	4.32050	−	10.4306i	0.189832	−	0.458295i
$519$	2.51268	+	6.06614i	0.110294	+	0.266274i
$520$	−1.81132	+	6.77929i	−0.0794315	+	0.297291i
$521$	3.13756	−	15.7736i	0.137459	−	0.691053i	−0.849176	−	0.528109i	$-0.822901\pi$
$521$	3.13756	−	15.7736i	0.137459	−	0.691053i	0.986635	−	0.162944i	$-0.0520989\pi$
$522$	0.387217	−	0.0770223i	0.0169480	−	0.00337118i
$523$	13.3777			0.584968			0.292484	−	0.956270i	$-0.405518\pi$
$523$	13.3777			0.584968			0.292484	+	0.956270i	$0.405518\pi$
$524$	0.656138	−	0.130514i	0.0286635	−	0.00570153i
$525$	−37.6648	−	21.6741i	−1.64382	−	0.945935i
$526$		−	12.6760i		−	0.552699i
$527$	−0.129293	−	0.150884i	−0.00563207	−	0.00657262i
$528$	6.14479	+	6.14479i	0.267417	+	0.267417i
$529$	8.66895	−	20.9287i	0.376911	−	0.909943i
$530$	−20.5515	−	15.7465i	−0.892702	−	0.683982i
$531$	−0.260086	−	0.260086i	−0.0112868	−	0.0112868i
$532$	−0.777282	−	3.90766i	−0.0336994	−	0.169418i
$533$	−2.42999	−	3.63674i	−0.105255	−	0.157525i
$534$	10.1205	−	6.76231i	0.437957	−	0.292634i
$535$	9.24812	+	27.1803i	0.399831	+	1.17511i
$536$	−9.24124	+	3.82785i	−0.399161	+	0.165338i
$537$	3.73578	−	18.7810i	0.161211	−	0.810461i
$538$	−2.92890	+	1.95703i	−0.126274	+	0.0843734i
$539$	−54.8137	+	82.0346i	−2.36099	+	3.53348i
$540$	−7.81637	−	8.90004i	−0.336363	−	0.382997i
$541$	2.60042	+	13.0732i	0.111801	+	0.562060i	0.995561	+	0.0941200i	$0.0300037\pi$
$541$	2.60042	+	13.0732i	0.111801	+	0.562060i	−0.883760	+	0.467940i	$0.844996\pi$
$542$	−6.38787	−	15.4217i	−0.274383	−	0.662418i
$543$	−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
$547$	15.6189	−	23.3754i	0.667817	−	0.999459i	−0.330630	−	0.943760i	$-0.607261\pi$
$547$	15.6189	−	23.3754i	0.667817	−	0.999459i	0.998448	−	0.0556988i	$-0.0177387\pi$
$548$			18.8934i			0.807085i
$549$	1.01047	+	0.675171i	0.0431256	+	0.0288156i
$550$	11.3631	+	22.9594i	0.484524	+	0.978991i
$551$	−1.38447	−	2.07201i	−0.0589804	−	0.0882704i
$552$	0.923009	+	0.382323i	0.0392859	+	0.0162727i
$553$	−45.6876	−	18.9244i	−1.94284	−	0.804749i
$554$	−16.7781	−	25.1103i	−0.712835	−	1.06683i
$555$	−7.23378	+	4.18332i	−0.307057	+	0.177572i
$556$	11.1124	+	7.42504i	0.471269	+	0.314892i
$557$			46.0957i			1.95314i	0.215210	+	0.976568i	$0.430956\pi$
$557$			46.0957i			1.95314i	−0.215210	+	0.976568i	$0.569044\pi$
$558$	−0.00329819	+	0.00493609i	−0.000139623	+	0.000208961i
$559$	−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
$563$	−10.3783	−	25.0553i	−0.437391	−	1.05596i	−0.976846	−	0.213942i	$-0.931370\pi$
$563$	−10.3783	−	25.0553i	−0.437391	−	1.05596i	0.539455	−	0.842014i	$-0.318630\pi$
$564$	−0.629260	−	3.16350i	−0.0264966	−	0.133208i
$565$	15.8223	−	13.8958i	0.665651	−	0.584602i
$566$	13.9854	−	20.9307i	0.587851	−	0.879782i
$567$	−36.7059	+	24.5261i	−1.54150	+	1.03000i
$568$	1.50374	−	7.55981i	0.0630955	−	0.317203i
$569$	26.6015	−	11.0187i	1.11519	−	0.461928i	0.252470	−	0.967605i	$-0.418757\pi$
$569$	26.6015	−	11.0187i	1.11519	−	0.461928i	0.862723	+	0.505677i	$0.168757\pi$
$570$	−1.30238	+	2.64573i	−0.0545509	+	0.110818i
$571$	22.2050	−	14.8369i	0.929251	−	0.620906i	0.00389002	−	0.999992i	$-0.498762\pi$
$571$	22.2050	−	14.8369i	0.929251	−	0.620906i	0.925361	+	0.379087i	$0.123762\pi$
$572$	−8.93258	−	13.3686i	−0.373490	−	0.558967i
$573$	−5.46288	−	27.4638i	−0.228215	−	1.14731i
$574$	−5.05010	−	5.05010i	−0.210787	−	0.210787i
$575$	2.21704	+	1.93870i	0.0924568	+	0.0808492i
$576$	−0.0471409	+	0.113808i	−0.00196420	+	0.00474201i
$577$	25.5595	+	25.5595i	1.06406	+	1.06406i	0.997803	+	0.0662536i	$0.0211046\pi$
$577$	25.5595	+	25.5595i	1.06406	+	1.06406i	0.0662536	+	0.997803i	$0.478895\pi$
$578$	2.60473	−	16.7993i	0.108343	−	0.698757i
$579$			5.92510i			0.246239i
$580$	2.30845	+	6.78454i	0.0958530	+	0.281713i
$581$	85.2256	−	16.9524i	3.53575	−	0.703305i
$582$	3.07217			0.127345
$583$	58.1828	−	11.5733i	2.40969	−	0.479316i
$584$	1.39937	−	7.03510i	0.0579063	−	0.291115i
$585$	0.432735	+	0.748284i	0.0178914	+	0.0309378i
$586$	−3.37237	−	8.14161i	−0.139311	−	0.336327i
$587$	−3.32059	+	8.01661i	−0.137055	+	0.330881i	−0.977474	−	0.211057i	$-0.932309\pi$
$587$	−3.32059	+	8.01661i	−0.137055	+	0.330881i	0.840418	+	0.541938i	$0.182309\pi$
$588$	32.0343	+	6.37201i	1.32107	+	0.262777i
$589$	0.0367514	+	0.00731031i	0.00151432	+	0.000301216i
$590$	4.06071	−	5.29985i	0.167177	−	0.218192i
$591$	−5.99035	+	5.99035i	−0.246410	+	0.246410i
$592$	1.83197	+	1.22409i	0.0752937	+	0.0503096i
$593$	9.28441	−	3.84573i	0.381265	−	0.157925i	−0.183816	−	0.982961i	$-0.558845\pi$
$593$	9.28441	−	3.84573i	0.381265	−	0.157925i	0.565081	+	0.825036i	$0.308845\pi$
$594$	27.1406			1.11359
$595$	−42.5924	+	20.4381i	−1.74612	+	0.837880i
$596$	−7.54640			−0.309112
$597$	18.4011	−	7.62198i	0.753106	−	0.311947i
$598$	−1.53693	−	1.02694i	−0.0628496	−	0.0419948i
$599$	27.5213	−	27.5213i	1.12449	−	1.12449i	0.133434	−	0.991058i	$-0.457400\pi$
$599$	27.5213	−	27.5213i	1.12449	−	1.12449i	0.991058	−	0.133434i	$-0.0426003\pi$
$600$	5.58253	−	6.38402i	0.227906	−	0.260627i
$601$	−46.8532	−	9.31969i	−1.91118	−	0.380158i	−0.911658	−	0.410950i	$-0.865197\pi$
$601$	−46.8532	−	9.31969i	−1.91118	−	0.380158i	−0.999526	+	0.0307923i	$0.990197\pi$
$602$	−13.9200	−	2.76886i	−0.567336	−	0.112850i
$603$	−0.471534	+	1.13838i	−0.0192023	+	0.0463585i
$604$	−2.08948	−	5.04445i	−0.0850197	−	0.205256i
$605$	−32.9447	−	8.80230i	−1.33939	−	0.357864i
$606$	−1.18981	+	5.98160i	−0.0483329	+	0.242986i
$607$	17.9234	−	3.56519i	0.727488	−	0.144706i	0.182567	−	0.983193i	$-0.441559\pi$
$607$	17.9234	−	3.56519i	0.727488	−	0.144706i	0.544922	+	0.838487i	$0.316559\pi$
$608$	0.777538			0.0315333
$609$	27.3196	−	5.43420i	1.10705	−	0.220205i
$610$	−9.74268	+	19.7918i	−0.394470	+	0.801347i
$611$			5.96775i			0.241429i
$612$	−0.504287	+	0.0605184i	−0.0203846	+	0.00244631i
$613$	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
$615$	0.693716	+	5.24038i	0.0279733	+	0.211312i
$616$	−18.5640	−	18.5640i	−0.747965	−	0.747965i
$617$	−3.54142	−	17.8039i	−0.142572	−	0.716759i	−0.984250	−	0.176780i	$-0.943432\pi$
$617$	−3.54142	−	17.8039i	−0.142572	−	0.716759i	0.841678	−	0.539980i	$-0.181568\pi$
$618$	9.70529	+	14.5250i	0.390404	+	0.584281i
$619$	−0.888855	+	0.593914i	−0.0357261	+	0.0238714i	−0.573305	−	0.819342i	$-0.694339\pi$
$619$	−0.888855	+	0.593914i	−0.0357261	+	0.0238714i	0.537579	+	0.843213i	$0.319339\pi$
$620$	−0.0966823	−	0.0475927i	−0.00388286	−	0.00191137i
$621$	2.88273	−	1.19406i	0.115680	−	0.0479162i
$622$	−1.08909	+	5.47523i	−0.0436686	+	0.219537i
$623$	−30.5751	+	20.4296i	−1.22496	+	0.818495i
$624$	−2.95711	+	4.42562i	−0.118379	+	0.177167i
$625$	21.6148	−	12.5618i	0.864594	−	0.502471i
$626$	5.87011	+	29.5110i	0.234617	+	1.17950i
$627$	−2.58573	−	6.24250i	−0.103264	−	0.249301i
$628$	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	0.749863	−	0.661593i	$-0.230119\pi$
$631$	20.4042	+	8.45171i	0.812279	+	0.336457i	0.0624162	+	0.998050i	$0.480119\pi$
$632$	5.36168	−	8.02433i	0.213276	−	0.319191i
$633$		−	19.1776i		−	0.762241i
$634$	8.99537	+	6.01051i	0.357252	+	0.238708i
$635$	−2.96453	−	0.792076i	−0.117644	−	0.0314326i
$636$	−10.9106	−	16.3289i	−0.432635	−	0.647484i
$637$	−55.8306	−	23.1258i	−2.21209	−	0.916277i
$638$	−15.1706	−	6.28389i	−0.600612	−	0.248781i
$639$	−0.527514	−	0.789480i	−0.0208681	−	0.0312314i
$640$	−2.16029	−	0.577195i	−0.0853929	−	0.0228156i
$641$	21.9897	+	14.6930i	0.868539	+	0.580339i	0.908041	−	0.418880i	$-0.137577\pi$
$641$	21.9897	+	14.6930i	0.868539	+	0.580339i	−0.0395024	+	0.999219i	$0.512577\pi$
$642$			21.7777i			0.859498i
$643$	−19.1860	+	28.7138i	−0.756620	+	1.13236i	0.230608	+	0.973047i	$0.425929\pi$
$643$	−19.1860	+	28.7138i	−0.756620	+	1.13236i	−0.987228	+	0.159315i	$0.949071\pi$
$644$	−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	$0.170132\pi$
$648$	−3.29692	−	7.95947i	−0.129515	−	0.312678i
$649$	2.98453	+	15.0042i	0.117153	+	0.588968i
$650$	−12.4346	+	9.56966i	−0.487726	+	0.375353i
$651$	−0.232699	+	0.348259i	−0.00912019	+	0.0136493i
$652$	−12.5284	+	8.37120i	−0.490649	+	0.327842i
$653$	4.65071	−	23.3807i	0.181996	−	0.914957i	−0.776558	−	0.630046i	$-0.783036\pi$
$653$	4.65071	−	23.3807i	0.181996	−	0.914957i	0.958554	−	0.284911i	$-0.0919641\pi$
$654$	−2.88102	+	1.19336i	−0.112657	+	0.0466640i
$655$	1.34211	+	0.660667i	0.0524408	+	0.0258144i
$656$	1.15889	−	0.774342i	0.0452469	−	0.0302330i
$657$	−0.490901	−	0.734685i	−0.0191519	−	0.0286628i
$658$	1.90106	+	9.55727i	0.0741110	+	0.372581i
$659$	−14.0494	−	14.0494i	−0.547286	−	0.547286i	0.378369	−	0.925655i	$-0.376485\pi$
$659$	−14.0494	−	14.0494i	−0.547286	−	0.547286i	−0.925655	+	0.378369i	$0.876485\pi$
$660$	2.55008	+	19.2635i	0.0992616	+	0.749829i
$661$	−8.60461	+	20.7734i	−0.334681	+	0.807990i	0.663528	+	0.748152i	$0.269059\pi$
$661$	−8.60461	+	20.7734i	−0.334681	+	0.807990i	−0.998208	+	0.0598384i	$0.980941\pi$
$662$	14.9212	+	14.9212i	0.579929	+	0.579929i
$663$	−21.8810	−	1.68625i	−0.849787	−	0.0654886i
$664$			16.9580i			0.658098i
$665$	3.93463	−	7.99303i	0.152578	−	0.309956i
$666$	0.266198	−	0.0529501i	0.0103150	−	0.00205177i
$667$	−1.88781			−0.0730962
$668$	−20.5303	+	4.08374i	−0.794343	+	0.158005i
$669$	−4.01443	+	20.1819i	−0.155207	+	0.780277i
$670$	−21.6086	−	5.77348i	−0.834813	−	0.223049i
$671$	−19.3429	−	46.6980i	−0.746726	−	1.80276i
$672$	−3.32596	+	8.02957i	−0.128302	+	0.309747i
$673$	−13.7764	−	2.74030i	−0.531043	−	0.105631i	−0.0777163	−	0.996976i	$-0.524763\pi$
$673$	−13.7764	−	2.74030i	−0.531043	−	0.105631i	−0.453327	+	0.891345i	$0.649763\pi$
$674$	−26.4646	−	5.26413i	−1.01938	−	0.202767i
$675$	−1.77004	−	26.4272i	−0.0681288	−	1.01718i
$676$	−2.22886	+	2.22886i	−0.0857253	+	0.0857253i
$677$	32.3085	+	21.5878i	1.24172	+	0.829688i	0.990402	−	0.138218i	$-0.0441374\pi$
$677$	32.3085	+	21.5878i	1.24172	+	0.829688i	0.251314	+	0.967906i	$0.419137\pi$
$678$	14.7572	−	6.11263i	0.566747	−	0.234754i
$679$	−9.28133			−0.356185
$680$	−2.29033	−	8.93053i	−0.0878303	−	0.342470i
$681$	−11.1946			−0.428980
$682$	0.228118	−	0.0944896i	0.00873509	−	0.00361819i
$683$	−24.1643	−	16.1461i	−0.924622	−	0.617812i	−0.000536757	−	1.00000i	$-0.500171\pi$
$683$	−24.1643	−	16.1461i	−0.924622	−	0.617812i	−0.924085	+	0.382187i	$0.875171\pi$
$684$	0.0677274	−	0.0677274i	0.00258962	−	0.00258962i
$685$	−25.6943	+	33.5351i	−0.981730	+	1.28131i
$686$	−61.5989	−	12.2528i	−2.35186	−	0.467814i
$687$	−14.7472	−	2.93340i	−0.562640	−	0.111916i
$688$	1.05995	−	2.55893i	0.0404100	−	0.0975585i
$689$	13.9049	+	33.5693i	0.529734	+	1.27889i
$690$	1.11836	+	1.93387i	0.0425753	+	0.0736211i
$691$	4.61724	−	23.2124i	0.175648	−	0.883043i	−0.787961	−	0.615726i	$-0.788863\pi$
$691$	4.61724	−	23.2124i	0.175648	−	0.883043i	0.963609	−	0.267317i	$-0.0861370\pi$
$692$	3.79677	−	0.755225i	0.144332	−	0.0287094i
$693$	−3.23404			−0.122851
$694$	−29.8614	+	5.93981i	−1.13353	+	0.225472i
$695$	9.62624	+	28.2916i	0.365144	+	1.07316i
$696$			5.43599i			0.206051i
$697$	5.12459	+	2.60061i	0.194108	+	0.0985052i
$698$	−12.8858	−	12.8858i	−0.487735	−	0.487735i
$699$	−7.08477	+	17.1042i	−0.267971	+	0.646938i
$700$	−16.8654	+	19.2868i	−0.637451	+	0.728971i
$701$	−9.26238	−	9.26238i	−0.349835	−	0.349835i	0.510213	−	0.860048i	$-0.329567\pi$
$701$	−9.26238	−	9.26238i	−0.349835	−	0.349835i	−0.860048	+	0.510213i	$0.829567\pi$
$702$	3.24311	+	16.3042i	0.122403	+	0.615363i
$703$	−0.951774	−	1.42443i	−0.0358968	−	0.0537234i
$704$	4.26003	−	2.84646i	0.160556	−	0.107280i
$705$	3.18534	−	6.47088i	0.119967	−	0.243707i
$706$	13.1143	−	5.43213i	0.493564	−	0.204441i
$707$	3.59455	−	18.0710i	0.135187	−	0.679630i
$708$	4.21092	−	2.81365i	0.158256	−	0.105743i
$709$	2.56004	−	3.83137i	0.0961444	−	0.143890i	−0.780279	−	0.625432i	$-0.784923\pi$
$709$	2.56004	−	3.83137i	0.0961444	−	0.143890i	0.876423	+	0.481541i	$0.159923\pi$
$710$	12.9502	−	11.3734i	0.486011	−	0.426834i
$711$	−0.231929	−	1.16599i	−0.00869804	−	0.0437280i
$712$	−2.74625	−	6.63003i	−0.102920	−	0.248471i
$713$	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
$717$	2.20728	−	3.30343i	0.0824326	−	0.123369i
$718$		−	6.54545i		−	0.244274i
$719$	−14.4691	−	9.66796i	−0.539607	−	0.360554i	0.255704	−	0.966755i	$-0.417693\pi$
$719$	−14.4691	−	9.66796i	−0.539607	−	0.360554i	−0.795311	+	0.606201i	$0.792693\pi$
$720$	−0.238448	+	0.137895i	−0.00888645	+	0.00513906i
$721$	−29.3207	−	43.8815i	−1.09196	−	1.63423i
$722$	16.9952	+	7.03963i	0.632495	+	0.261988i
$723$	21.6964	+	8.98693i	0.806897	+	0.334228i
$724$	12.1553	+	18.1917i	0.451749	+	0.676090i
$725$	−5.12933	+	15.1817i	−0.190499	+	0.563835i
$726$	−21.5068	−	14.3704i	−0.798193	−	0.533335i
$727$			12.9759i			0.481250i	0.970618	+	0.240625i	$0.0773525\pi$
$727$			12.9759i			0.481250i	−0.970618	+	0.240625i	$0.922648\pi$
$728$	8.93372	−	13.3703i	0.331106	−	0.495535i
$729$	−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
$733$	14.4507	+	34.8870i	0.533747	+	1.28858i	0.929025	+	0.370018i	$0.120648\pi$
$733$	14.4507	+	34.8870i	0.533747	+	1.28858i	−0.395277	+	0.918562i	$0.629352\pi$
$734$	3.94067	+	19.8111i	0.145453	+	0.731240i
$735$	48.1939	+	54.8755i	1.77766	+	2.02411i
$736$	0.327245	−	0.489757i	0.0120624	−	0.0180527i
$737$	42.6115	−	28.4721i	1.56962	−	1.04878i
$738$	0.0334956	−	0.168394i	0.00123299	−	0.00619866i
$739$	29.1539	−	12.0760i	1.07244	−	0.444221i	0.224592	−	0.974453i	$-0.427895\pi$
$739$	29.1539	−	12.0760i	1.07244	−	0.444221i	0.847853	+	0.530232i	$0.177895\pi$
$740$	1.58697	+	4.66413i	0.0583383	+	0.171457i
$741$	3.44109	−	2.29926i	0.126412	−	0.0844656i
$742$	32.9621	+	49.3313i	1.21008	+	1.81101i
$743$	−1.43793	−	7.22896i	−0.0527525	−	0.265205i	0.945404	−	0.325901i	$-0.105668\pi$
$743$	−1.43793	−	7.22896i	−0.0527525	−	0.265205i	−0.998156	+	0.0606967i	$0.980668\pi$
$744$	−0.0577989	−	0.0577989i	−0.00211901	−	0.00211901i
$745$	−13.3946	−	10.2628i	−0.490739	−	0.376001i
$746$	6.08087	−	14.6805i	0.222637	−	0.537492i
$747$	1.47713	+	1.47713i	0.0540453	+	0.0540453i
$748$	18.8378	+	9.55977i	0.688779	+	0.349540i
$749$		−	65.7927i		−	2.40401i
$750$	18.5908	−	3.73936i	0.678841	−	0.136542i
$751$	1.29792	−	0.258172i	0.0473617	−	0.00942082i	−0.171353	−	0.985210i	$-0.554814\pi$
$751$	1.29792	−	0.258172i	0.0473617	−	0.00942082i	0.218714	+	0.975789i	$0.429814\pi$
$752$	−1.90169			−0.0693473
$753$	−2.30368	+	0.458229i	−0.0839506	+	0.0166988i
$754$	1.96214	−	9.86437i	0.0714571	−	0.359239i
$755$	3.15152	−	11.7953i	0.114696	−	0.429276i
$756$	10.3876	+	25.0778i	0.377793	+	0.912072i
$757$	−15.1337	+	36.5360i	−0.550044	+	1.32792i	0.367402	+	0.930062i	$0.380247\pi$
$757$	−15.1337	+	36.5360i	−0.550044	+	1.32792i	−0.917446	+	0.397861i	$0.869753\pi$
$758$	−17.2190	−	3.42507i	−0.625422	−	0.124404i
$759$	−5.02031	−	0.998601i	−0.182226	−	0.0362469i
$760$	1.38010	+	1.05742i	0.0500615	+	0.0383568i
$761$	17.9513	−	17.9513i	0.650734	−	0.650734i	−0.302436	−	0.953170i	$-0.597800\pi$
$761$	17.9513	−	17.9513i	0.650734	−	0.650734i	0.953170	+	0.302436i	$0.0977998\pi$
$762$	−1.93529	−	1.29312i	−0.0701083	−	0.0468449i
$763$	8.70385	−	3.60525i	0.315101	−	0.130519i
$764$	−16.5094			−0.597287
$765$	−0.977393	−	0.578394i	−0.0353377	−	0.0209119i
$766$	35.1358			1.26951
$767$	−8.65689	+	3.58580i	−0.312582	+	0.129476i
$768$	−1.41027	−	0.942312i	−0.0508887	−	0.0340028i
$769$	−7.86109	+	7.86109i	−0.283478	+	0.283478i	−0.834494	−	0.551016i	$-0.814240\pi$
$769$	−7.86109	+	7.86109i	−0.283478	+	0.283478i	0.551016	+	0.834494i	$0.314240\pi$
$770$	−7.70404	−	58.1969i	−0.277634	−	2.09727i
$771$	32.4933	+	6.46332i	1.17022	+	0.232771i
$772$	3.42621	+	0.681515i	0.123312	+	0.0245283i
$773$	−11.6628	+	28.1566i	−0.419483	+	1.01272i	0.563015	+	0.826447i	$0.309641\pi$
$773$	−11.6628	+	28.1566i	−0.419483	+	1.01272i	−0.982498	+	0.186274i	$0.940359\pi$
$774$	−0.130569	−	0.315222i	−0.00469322	−	0.0113304i
$775$	−0.106883	−	0.215960i	−0.00383936	−	0.00775751i
$776$	0.353366	−	1.77649i	0.0126851	−	0.0637723i
$777$	18.7812	−	3.73582i	0.673773	−	0.134022i
$778$	8.41967			0.301860
$779$	−1.06289	+	0.211423i	−0.0380821	+	0.00757500i
$780$	−11.2675	+	3.83376i	−0.403440	+	0.137271i
$781$			39.4914i			1.41311i
$782$	2.42144	+	0.186607i	0.0865904	+	0.00667307i
$783$	12.0050	+	12.0050i	0.429023	+	0.429023i
$784$	7.36927	−	17.7910i	0.263188	−	0.635392i
$785$	6.24856	−	0.827178i	0.223021	−	0.0295232i
$786$	0.802346	+	0.802346i	0.0286188	+	0.0286188i
$787$	5.92625	+	29.7933i	0.211248	+	1.06202i	0.930227	+	0.366984i	$0.119610\pi$
$787$	5.92625	+	29.7933i	0.211248	+	1.06202i	−0.718979	+	0.695032i	$0.755390\pi$
$788$	2.77492	+	4.15296i	0.0988524	+	0.147943i
$789$	17.8766	−	11.9447i	0.636422	−	0.425244i
$790$	20.4296	−	6.95119i	0.726852	−	0.247312i
$791$	−44.5830	+	18.4669i	−1.58519	+	0.656607i
$792$	0.123129	−	0.619010i	0.00437519	−	0.0219956i
$793$	25.7416	−	17.2000i	0.914111	−	0.610790i
$794$	−5.78289	+	8.65471i	−0.205227	+	0.307144i
$795$	2.84078	−	43.8213i	0.100752	−	1.55418i
$796$	−2.29091	−	11.5172i	−0.0811991	−	0.408215i
$797$	−13.7628	−	33.2263i	−0.487503	−	1.17694i	−0.955972	−	0.293457i	$-0.905194\pi$
$797$	−13.7628	−	33.2263i	−0.487503	−	1.17694i	0.468469	−	0.883480i	$-0.344806\pi$
$798$	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
$802$	−9.08260	+	13.5931i	−0.320718	+	0.479988i
$803$			36.7504i			1.29689i
$804$	−14.1064	−	9.42562i	−0.497496	−	0.332416i
$805$	−3.37868	−	5.84241i	−0.119083	−	0.205918i
$806$	0.0840214	+	0.125747i	0.00295953	+	0.00442924i
$807$	−5.51987	−	2.28641i	−0.194309	−	0.0804853i
$808$	3.32202	+	1.37603i	0.116868	+	0.0484085i
$809$	−14.4830	−	21.6754i	−0.509196	−	0.762066i	0.484425	−	0.874833i	$-0.339029\pi$
$809$	−14.4830	−	21.6754i	−0.509196	−	0.762066i	−0.993621	+	0.112767i	$0.964029\pi$
$810$	4.97269	−	18.6115i	0.174722	−	0.653940i
$811$	37.1784	+	24.8418i	1.30551	+	0.872315i	0.996885	−	0.0788687i	$-0.0251308\pi$
$811$	37.1784	+	24.8418i	1.30551	+	0.872315i	0.308626	+	0.951183i	$0.400131\pi$
$812$		−	16.4227i		−	0.576323i
$813$	15.7294	−	23.5407i	0.551653	−	0.825608i
$814$	−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
$818$	2.24930	+	5.43029i	0.0786449	+	0.189865i
$819$	−0.386444	−	1.94279i	−0.0135035	−	0.0678865i
$820$	3.11006	+	0.201614i	0.108608	+	0.00704066i
$821$	19.4027	−	29.0382i	0.677160	−	1.01344i	−0.320644	−	0.947200i	$-0.603899\pi$
$821$	19.4027	−	29.0382i	0.677160	−	1.01344i	0.997804	−	0.0662415i	$-0.0211008\pi$
$822$	−26.6448	+	17.8035i	−0.929343	+	0.620967i
$823$	−4.91166	+	24.6926i	−0.171210	+	0.860729i	0.795716	+	0.605670i	$0.207095\pi$
$823$	−4.91166	+	24.6926i	−0.171210	+	0.860729i	−0.966925	+	0.255059i	$0.917905\pi$
$824$	9.51544	−	3.94143i	0.331486	−	0.137306i
$825$	−21.6713	+	37.6600i	−0.754499	+	1.31115i
$826$	−12.7216	+	8.50031i	−0.442641	+	0.295763i
$827$	−12.4114	−	18.5750i	−0.431587	−	0.645915i	0.550392	−	0.834906i	$-0.314478\pi$
$827$	−12.4114	−	18.5750i	−0.431587	−	0.645915i	−0.981979	+	0.188991i	$0.939478\pi$
$828$	−0.0141556	−	0.0711650i	−0.000491941	−	0.00247315i
$829$	−27.4675	−	27.4675i	−0.953985	−	0.953985i	0.0450021	−	0.998987i	$-0.485671\pi$
$829$	−27.4675	−	27.4675i	−0.953985	−	0.953985i	−0.998987	+	0.0450021i	$0.985671\pi$
$830$	−23.0623	+	30.0998i	−0.800504	+	1.04478i
$831$	19.6020	−	47.3234i	0.679986	−	1.64163i
$832$	2.21900	+	2.21900i	0.0769300	+	0.0769300i
$833$	78.8323	−	9.46051i	2.73138	−	0.327787i
$834$			22.6681i			0.784934i
$835$	−41.9943	−	20.6721i	−1.45327	−	0.715386i
$836$	−3.90716	+	0.777183i	−0.135132	+	0.0268794i
$837$	−0.255289			−0.00882408
$838$	−21.6750	+	4.31142i	−0.748749	+	0.148935i
$839$	−1.56230	+	7.85419i	−0.0539364	+	0.271157i	−0.998337	−	0.0576390i	$-0.981643\pi$
$839$	−1.56230	+	7.85419i	−0.0539364	+	0.271157i	0.944401	+	0.328796i	$0.106643\pi$
$840$	−16.8234	+	9.72901i	−0.580462	+	0.335683i
$841$	7.16698	+	17.3026i	0.247137	+	0.596642i
$842$	−6.34939	+	15.3288i	−0.218814	+	0.528265i
$843$	−17.9163	−	3.56377i	−0.617069	−	0.122743i
$844$	−11.0895	−	2.20584i	−0.381717	−	0.0759281i
$845$	−6.98731	+	0.924972i	−0.240371	+	0.0318200i
$846$	−0.165646	+	0.165646i	−0.00569503	+	0.00569503i
$847$	64.9742	+	43.4144i	2.23254	+	1.49174i
$848$	−10.6972	+	4.43093i	−0.367344	+	0.152159i
$849$	42.6966			1.46534
$850$	8.07995	−	18.9661i	0.277140	−	0.650533i
$851$	−1.29780			−0.0444880
$852$	12.0784	−	5.00302i	0.413798	−	0.171401i
$853$	37.7428	+	25.2189i	1.29229	+	0.863479i	0.995800	−	0.0915575i	$-0.0291845\pi$
$853$	37.7428	+	25.2189i	1.29229	+	0.863479i	0.296488	+	0.955037i	$0.404185\pi$
$854$	35.7456	−	35.7456i	1.22319	−	1.22319i
$855$	0.212321	−	0.0281068i	0.00726121	−	0.000961232i
$856$	12.5930	+	2.50491i	0.430421	+	0.0856161i
$857$	4.83926	+	0.962588i	0.165306	+	0.0328814i	0.277049	−	0.960856i	$-0.410643\pi$
$857$	4.83926	+	0.962588i	0.165306	+	0.0328814i	−0.111743	+	0.993737i	$0.535643\pi$
$858$	10.4360	−	25.1947i	0.356279	−	0.860133i
$859$	11.9272	+	28.7948i	0.406950	+	0.982465i	0.985935	+	0.167127i	$0.0534489\pi$
$859$	11.9272	+	28.7948i	0.406950	+	0.982465i	−0.578985	+	0.815338i	$0.696551\pi$
$860$	5.36143	−	3.10053i	0.182823	−	0.105727i
$861$	2.36323	−	11.8808i	0.0805388	−	0.404896i
$862$	−3.13334	+	0.623260i	−0.106722	+	0.0212283i
$863$	34.9690			1.19036			0.595179	−	0.803593i	$-0.297081\pi$
$863$	34.9690			1.19036			0.595179	+	0.803593i	$0.297081\pi$
$864$	−5.19550	+	1.03345i	−0.176755	+	0.0351587i
$865$	7.76622	+	3.82298i	0.264059	+	0.129985i
$866$			27.8186i			0.945314i
$867$	26.1460	−	12.1568i	0.887964	−	0.412866i
$868$	0.174616	+	0.174616i	0.00592686	+	0.00592686i
$869$	−18.9220	+	45.6818i	−0.641886	+	1.54965i
$870$	−7.39276	+	9.64869i	−0.250638	+	0.327121i
$871$	22.1959	+	22.1959i	0.752079	+	0.752079i
$872$	0.358683	+	1.80322i	0.0121465	+	0.0610648i
$873$	−0.123961	−	0.185521i	−0.00419545	−	0.00627894i
$874$	−0.380805	+	0.254446i	−0.0128809	+	0.00860675i
$875$	−56.1648	+	11.2970i	−1.89872	+	0.381908i
$876$	11.2400	−	4.65578i	0.379766	−	0.157304i
$877$	1.30382	−	6.55474i	0.0440268	−	0.221338i	−0.952508	−	0.304513i	$-0.901506\pi$
$877$	1.30382	−	6.55474i	0.0440268	−	0.221338i	0.996535	+	0.0831755i	$0.0265062\pi$
$878$	22.8808	−	15.2885i	0.772191	−	0.515962i
$879$	8.30405	−	12.4279i	0.280089	−	0.419182i
$880$	11.4325	+	0.741126i	0.385389	+	0.0249834i
$881$	−7.26090	−	36.5030i	−0.244626	−	1.22982i	−0.886398	−	0.462923i	$-0.846801\pi$
$881$	−7.26090	−	36.5030i	−0.244626	−	1.22982i	0.641772	−	0.766895i	$-0.278199\pi$
$882$	−0.907784	−	2.19158i	−0.0305667	−	0.0737945i
$883$	37.2787	−	37.2787i	1.25453	−	1.25453i	0.300862	−	0.953668i	$-0.402726\pi$
$883$	37.2787	−	37.2787i	1.25453	−	1.25453i	0.953668	−	0.300862i	$-0.0972744\pi$
$884$	−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
$887$	−28.8551	+	43.1846i	−0.968858	+	1.45000i	−0.0773445	+	0.997004i	$0.524644\pi$
$887$	−28.8551	+	43.1846i	−0.968858	+	1.45000i	−0.891514	+	0.452994i	$0.850356\pi$
$888$			3.73705i			0.125407i
$889$	5.84672	+	3.90665i	0.196093	+	0.131025i
$890$	4.14212	−	15.5029i	0.138844	−	0.519657i
$891$	24.5230	+	36.7013i	0.821552	+	1.22954i
$892$	11.2085	+	4.64271i	0.375288	+	0.155450i
$893$	1.36608	+	0.565848i	0.0457141	+	0.0189354i
$894$	−7.11106	−	10.6425i	−0.237830	−	0.355937i
$895$	−12.6381	−	21.8537i	−0.422444	−	0.730490i
$896$	4.26057	+	2.84682i	0.142336	+	0.0951056i
$897$		−	3.13518i		−	0.104681i
$898$	−9.20944	+	13.7829i	−0.307323	+	0.459942i
$899$	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
$903$	−9.21214	−	22.2401i	−0.306561	−	0.740103i
$904$	−1.83725	−	9.23648i	−0.0611061	−	0.307201i
$905$	−3.16486	+	48.8205i	−0.105203	+	1.62285i
$906$	5.14509	−	7.70017i	0.170934	−	0.255821i
$907$	−6.56049	+	4.38358i	−0.217837	+	0.145554i	−0.659702	−	0.751528i	$-0.729317\pi$
$907$	−6.56049	+	4.38358i	−0.217837	+	0.145554i	0.441864	+	0.897082i	$0.354317\pi$
$908$	−1.28763	+	6.47334i	−0.0427314	+	0.214825i
$909$	0.409224	−	0.169506i	0.0135731	−	0.00562216i
$910$	34.0401	−	11.5822i	1.12842	−	0.383945i
$911$	−4.98293	+	3.32949i	−0.165092	+	0.110311i	−0.635372	−	0.772207i	$-0.719153\pi$
$911$	−4.98293	+	3.32949i	−0.165092	+	0.110311i	0.470280	+	0.882517i	$0.344153\pi$
$912$	0.732684	+	1.09654i	0.0242616	+	0.0363100i
$913$	−16.9503	−	85.2147i	−0.560972	−	2.82020i
$914$	8.13738	+	8.13738i	0.269161	+	0.269161i
$915$	−37.0925	+	4.91026i	−1.22624	+	0.162328i
$916$	−3.39249	+	8.19020i	−0.112091	+	0.270612i
$917$	−2.42397	−	2.42397i	−0.0800465	−	0.0800465i
$918$	−14.2118	−	16.5851i	−0.469059	−	0.547391i
$919$			39.9956i			1.31933i	0.751558	+	0.659667i	$0.229303\pi$
$919$			39.9956i			1.31933i	−0.751558	+	0.659667i	$0.770697\pi$
$920$	1.24690	−	0.424259i	0.0411091	−	0.0139874i
$921$	3.72255	−	0.740462i	0.122662	−	0.0243991i
$922$	6.02105			0.198293
$923$	−23.7237	+	4.71895i	−0.780876	+	0.155326i
$924$	8.68718	−	43.6734i	0.285787	−	1.43675i
$925$	−3.52623	+	10.4369i	−0.115942	+	0.343163i
$926$	6.47228	+	15.6255i	0.212692	+	0.513484i
$927$	0.485525	−	1.17216i	0.0159467	−	0.0384988i
$928$	3.14338	+	0.625257i	0.103187	+	0.0205251i
$929$	−27.2141	−	5.41322i	−0.892865	−	0.177602i	−0.272724	−	0.962092i	$-0.587925\pi$
$929$	−27.2141	−	5.41322i	−0.892865	−	0.177602i	−0.620141	+	0.784490i	$0.712925\pi$
$930$	−0.0239865	−	0.181195i	−0.000786547	−	0.00594163i
$931$	−10.5874	+	10.5874i	−0.346990	+	0.346990i
$932$	9.07563	+	6.06414i	0.297282	+	0.198638i
$933$	−8.74782	+	3.62347i	−0.286391	+	0.118627i
$934$	17.5643			0.574720
$935$	20.4355	+	42.5870i	0.668312	+	1.39274i
$936$	0.386572			0.0126355
$937$	16.4981	−	6.83373i	0.538969	−	0.223248i	−0.0965573	−	0.995327i	$-0.530783\pi$
$937$	16.4981	−	6.83373i	0.538969	−	0.223248i	0.635526	+	0.772079i	$0.280783\pi$
$938$	42.6170	+	28.4757i	1.39149	+	0.929766i
$939$	−36.0871	+	36.0871i	−1.17766	+	1.17766i
$940$	−3.37542	−	2.58623i	−0.110094	−	0.0843534i
$941$	31.6394	+	6.29346i	1.03141	+	0.205161i	0.681651	−	0.731677i	$-0.261262\pi$
$941$	31.6394	+	6.29346i	1.03141	+	0.205161i	0.349763	+	0.936838i	$0.386262\pi$
$942$	4.68918	+	0.932736i	0.152782	+	0.0303902i
$943$	−0.314173	+	0.758480i	−0.0102309	+	0.0246995i
$944$	−1.14265	−	2.75861i	−0.0371902	−	0.0897850i
$945$	−15.6674	+	58.6390i	−0.509661	+	1.90753i
$946$	−2.76850	+	13.9182i	−0.0900119	+	0.452520i
$947$	−9.85437	+	1.96016i	−0.320224	+	0.0636965i	−0.352585	−	0.935780i	$-0.614697\pi$
$947$	−9.85437	+	1.96016i	−0.320224	+	0.0636965i	0.0323611	+	0.999476i	$0.489697\pi$
$948$	16.3689			0.531636
$949$	−22.0771	+	4.39142i	−0.716654	+	0.142551i
$950$	1.01157	+	3.75378i	0.0328197	+	0.121789i
$951$			18.3497i			0.595029i
$952$	−1.62336	+	21.0649i	−0.0526135	+	0.682718i
$953$	−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
$955$	−29.3035	−	22.4521i	−0.948239	−	0.726534i
$956$	−1.65634	−	1.65634i	−0.0535697	−	0.0535697i
$957$	−5.43351	−	27.3161i	−0.175640	−	0.883004i
$958$	2.47087	+	3.69792i	0.0798302	+	0.119474i
$959$	80.4965	−	53.7860i	2.59937	−	1.73684i
$960$	−1.22167	−	3.59049i	−0.0394291	−	0.115883i
$961$	28.6381	−	11.8623i	0.923810	−	0.382655i
$962$	1.34890	−	6.78140i	0.0434904	−	0.218641i
$963$	1.31511	−	0.878726i	0.0423787	−	0.0283166i
$964$	7.69227	−	11.5123i	0.247751	−	0.370786i
$965$	5.15456	+	5.86919i	0.165931	+	0.188936i
$966$	−0.998728	−	5.02095i	−0.0321336	−	0.161546i
$967$	−12.6513	−	30.5429i	−0.406838	−	0.982195i	−0.985964	−	0.166957i	$-0.946606\pi$
$967$	−12.6513	−	30.5429i	−0.406838	−	0.982195i	0.579126	−	0.815238i	$-0.303394\pi$
$968$	−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	−0.286936	−	0.957950i	$-0.592637\pi$
$971$	−36.3711	−	15.0654i	−1.16720	−	0.483472i	−0.880267	+	0.474478i	$0.842637\pi$
$972$	−0.710772	+	1.06375i	−0.0227980	+	0.0341196i
$973$		−	68.4827i		−	2.19546i
$974$	−8.04454	−	5.37519i	−0.257764	−	0.172232i
$975$	−25.2131	−	8.51856i	−0.807465	−	0.272812i
$976$	5.48095	+	8.20282i	0.175441	+	0.262566i
$977$	17.0533	+	7.06371i	0.545583	+	0.225988i	0.638413	−	0.769694i	$-0.279591\pi$
$977$	17.0533	+	7.06371i	0.545583	+	0.225988i	−0.0928297	+	0.995682i	$0.529591\pi$
$978$	−23.6113	−	9.78012i	−0.755006	−	0.312734i
$979$	20.4270	+	30.5712i	0.652850	+	0.977059i
$980$	37.2753	−	21.5564i	1.19072	−	0.688594i
$981$	0.188313	+	0.125826i	0.00601236	+	0.00401733i
$982$		−	38.2826i		−	1.22165i
$983$	−19.6290	+	29.3769i	−0.626068	+	0.936977i	0.373887	+	0.927474i	$0.378025\pi$
$983$	−19.6290	+	29.3769i	−0.626068	+	0.936977i	−0.999955	+	0.00950260i	$0.996975\pi$
$984$	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
$988$	−0.933756	−	2.25429i	−0.0297067	−	0.0717184i
$989$	0.318283	+	1.60012i	0.0101208	+	0.0508808i
$990$	1.06038	−	0.931269i	0.0337011	−	0.0295977i
$991$	−27.8623	+	41.6989i	−0.885075	+	1.32461i	0.0601504	+	0.998189i	$0.480842\pi$
$991$	−27.8623	+	41.6989i	−0.885075	+	1.32461i	−0.945225	+	0.326419i	$0.894158\pi$
$992$	−0.0400705	+	0.0267743i	−0.00127224	+	0.000850084i
$993$	−6.98249	+	35.1034i	−0.221583	+	1.11397i
$994$	−36.4900	+	15.1146i	−1.15739	+	0.479407i
$995$	11.5967	−	23.5581i	0.367639	−	0.746843i
$996$	−23.9154	+	15.9797i	−0.757788	+	0.506338i
$997$	1.51379	+	2.26555i	0.0479422	+	0.0717506i	0.854666	−	0.519178i	$-0.173762\pi$
$997$	1.51379	+	2.26555i	0.0479422	+	0.0717506i	−0.806724	+	0.590928i	$0.798762\pi$
$998$	0.578259	+	2.90710i	0.0183045	+	0.0920228i
$999$	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.r.b.23.4	yes	40
5.2	odd	4		170.2.o.b.57.4	yes	40
5.3	odd	4		850.2.s.d.57.2		40
5.4	even	2		850.2.v.d.193.2		40
17.3	odd	16		170.2.o.b.3.4	✓	40
85.3	even	16		850.2.v.d.207.2		40
85.37	even	16	inner	170.2.r.b.37.4	yes	40
85.54	odd	16		850.2.s.d.343.2		40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
170.2.o.b.3.4	✓	40	17.3	odd	16
170.2.o.b.57.4	yes	40	5.2	odd	4
170.2.r.b.23.4	yes	40	1.1	even	1	trivial
170.2.r.b.37.4	yes	40	85.37	even	16	inner
850.2.s.d.57.2		40	5.3	odd	4
850.2.s.d.343.2		40	85.54	odd	16
850.2.v.d.193.2		40	5.4	even	2
850.2.v.d.207.2		40	85.3	even	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:	\( N \)	\(=\)	\( 170 = 2 \cdot 5 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	170.r (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.923880 - 0.382683i) q^{2} +(1.41027 + 0.942312i) q^{3} +(0.707107 - 0.707107i) q^{4} +(2.21673 - 0.293448i) q^{5} +(1.66353 + 0.330896i) q^{6} +(-5.02568 - 0.999670i) q^{7} +(0.382683 - 0.923880i) q^{8} +(-0.0471409 - 0.113808i) q^{9} +O(q^{10})\)	\(q+(0.923880 - 0.382683i) q^{2} +(1.41027 + 0.942312i) q^{3} +(0.707107 - 0.707107i) q^{4} +(2.21673 - 0.293448i) q^{5} +(1.66353 + 0.330896i) q^{6} +(-5.02568 - 0.999670i) q^{7} +(0.382683 - 0.923880i) q^{8} +(-0.0471409 - 0.113808i) q^{9} +(1.93569 - 1.11942i) q^{10} +(-0.999543 + 5.02504i) q^{11} +(1.66353 - 0.330896i) q^{12} -3.13814 q^{13} +(-5.02568 + 0.999670i) q^{14} +(3.40271 + 1.67501i) q^{15} -1.00000i q^{16} +(3.59411 - 2.02049i) q^{17} +(-0.0871050 - 0.0871050i) q^{18} +(-0.297551 + 0.718351i) q^{19} +(1.35996 - 1.77496i) q^{20} +(-6.14557 - 6.14557i) q^{21} +(0.999543 + 5.02504i) q^{22} +(0.327245 + 0.489757i) q^{23} +(1.41027 - 0.942312i) q^{24} +(4.82778 - 1.30099i) q^{25} +(-2.89926 + 1.20091i) q^{26} +(1.03345 - 5.19550i) q^{27} +(-4.26057 + 2.84682i) q^{28} +(-1.78058 + 2.66483i) q^{29} +(3.78469 + 0.245348i) q^{30} +(-0.00940187 - 0.0472664i) q^{31} +(-0.382683 - 0.923880i) 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} +(-1.22409 + 1.83197i) q^{37} +0.777538i q^{38} +(-4.42562 - 2.95711i) q^{39} +(0.577195 - 2.16029i) q^{40} +(0.774342 + 1.15889i) q^{41} +(-8.02957 - 3.32596i) q^{42} +(2.55893 + 1.05995i) q^{43} +(2.84646 + 4.26003i) q^{44} +(-0.137895 - 0.238448i) q^{45} +(0.489757 + 0.327245i) q^{46} -1.90169i q^{47} +(0.942312 - 1.41027i) 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} +(-4.43093 - 10.6972i) q^{53} +(-1.03345 - 5.19550i) q^{54} +(-0.741126 + 11.4325i) q^{55} +(-2.84682 + 4.26057i) q^{56} +(-1.09654 + 0.732684i) q^{57} +(-0.625257 + 3.14338i) q^{58} +(2.75861 - 1.14265i) q^{59} +(3.59049 - 1.22167i) q^{60} +(-8.20282 + 5.48095i) q^{61} +(-0.0267743 - 0.0400705i) q^{62} +(0.123144 + 0.619089i) q^{63} +(-0.707107 - 0.707107i) q^{64} +(-6.95641 + 0.920882i) q^{65} +(-3.32553 + 8.02855i) q^{66} +(-7.07294 - 7.07294i) q^{67} +(1.11272 - 3.97012i) q^{68} +0.999058i q^{69} +(-10.8472 + 3.69078i) q^{70} +(7.55981 - 1.50374i) q^{71} -0.123185 q^{72} +(7.03510 - 1.39937i) q^{73} +(-0.429842 + 2.16096i) q^{74} +(8.03441 + 2.71453i) q^{75} +(0.297551 + 0.718351i) q^{76} +(10.0468 - 24.2551i) q^{77} +(-5.22038 - 1.03840i) q^{78} +(9.46534 + 1.88277i) q^{79} +(-0.293448 - 2.21673i) q^{80} +(6.09192 - 6.09192i) q^{81} +(1.15889 + 0.774342i) q^{82} +(-15.6672 + 6.48955i) q^{83} -8.69115 q^{84} +(7.37426 - 5.53356i) q^{85} +2.76977 q^{86} +(-5.02220 + 2.08026i) q^{87} +(4.26003 + 2.84646i) q^{88} +(5.07441 - 5.07441i) q^{89} +(-0.218649 - 0.167527i) q^{90} +(15.7713 + 3.13711i) q^{91} +(0.577708 + 0.114913i) q^{92} +(0.0312805 - 0.0755179i) q^{93} +(-0.727743 - 1.75693i) q^{94} +(-0.448791 + 1.67971i) q^{95} +(0.330896 - 1.66353i) q^{96} +(1.77649 - 0.353366i) q^{97} +19.2568 q^{98} +(0.619010 - 0.123129i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q+O(q^{10}) \) 40 * q	\( 40 q - 16 q^{10} - 16 q^{18} + 8 q^{25} - 8 q^{26} + 24 q^{27} - 8 q^{28} + 8 q^{29} + 16 q^{30} - 16 q^{31} - 32 q^{33} + 8 q^{34} - 32 q^{35} - 32 q^{39} - 56 q^{41} - 24 q^{42} + 16 q^{43} + 16 q^{44} + 24 q^{45} + 16 q^{49} - 32 q^{51} - 16 q^{52} + 16 q^{53} - 24 q^{54} - 8 q^{55} - 8 q^{56} - 120 q^{57} + 16 q^{58} + 8 q^{60} + 24 q^{61} - 8 q^{62} - 24 q^{63} - 32 q^{65} + 16 q^{67} - 8 q^{70} + 24 q^{71} + 56 q^{72} + 88 q^{73} + 32 q^{74} + 8 q^{75} + 24 q^{77} + 32 q^{78} - 104 q^{79} + 8 q^{80} + 48 q^{81} + 16 q^{82} + 16 q^{83} + 136 q^{85} + 96 q^{86} + 136 q^{87} - 16 q^{89} + 24 q^{90} + 48 q^{91} - 8 q^{92} - 8 q^{93} - 8 q^{94} - 136 q^{95} + 16 q^{97} + 72 q^{98} + 160 q^{99}+O(q^{100}) \) 40 * q - 16 * q^10 - 16 * q^18 + 8 * q^25 - 8 * q^26 + 24 * q^27 - 8 * q^28 + 8 * q^29 + 16 * q^30 - 16 * q^31 - 32 * q^33 + 8 * q^34 - 32 * q^35 - 32 * q^39 - 56 * q^41 - 24 * q^42 + 16 * q^43 + 16 * q^44 + 24 * q^45 + 16 * q^49 - 32 * q^51 - 16 * q^52 + 16 * q^53 - 24 * q^54 - 8 * q^55 - 8 * q^56 - 120 * q^57 + 16 * q^58 + 8 * q^60 + 24 * q^61 - 8 * q^62 - 24 * q^63 - 32 * q^65 + 16 * q^67 - 8 * q^70 + 24 * q^71 + 56 * q^72 + 88 * q^73 + 32 * q^74 + 8 * q^75 + 24 * q^77 + 32 * q^78 - 104 * q^79 + 8 * q^80 + 48 * q^81 + 16 * q^82 + 16 * q^83 + 136 * q^85 + 96 * q^86 + 136 * q^87 - 16 * q^89 + 24 * q^90 + 48 * q^91 - 8 * q^92 - 8 * q^93 - 8 * q^94 - 136 * q^95 + 16 * q^97 + 72 * q^98 + 160 * q^99

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