LMFDB - Embedded newform 170.2.r.a.107.2

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:	$32$
Relative dimension:	$4$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			107.2
Character	$\chi$	$=$	170.107
Dual form			170.2.r.a.143.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.382683 - 0.923880i) q^{2} +(-1.34931 - 0.268393i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(2.19527 + 0.425176i) q^{5} +(-0.764320 + 1.14389i) q^{6} +(2.19060 - 3.27846i) q^{7} +(-0.923880 + 0.382683i) q^{8} +(-1.02305 - 0.423761i) q^{9} +O(q^{10})$	\(q+(0.382683 - 0.923880i) q^{2} +(-1.34931 - 0.268393i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(2.19527 + 0.425176i) q^{5} +(-0.764320 + 1.14389i) q^{6} +(2.19060 - 3.27846i) q^{7} +(-0.923880 + 0.382683i) q^{8} +(-1.02305 - 0.423761i) q^{9} +(1.23291 - 1.86546i) q^{10} +(-2.71014 - 1.81086i) q^{11} +(0.764320 + 1.14389i) q^{12} +0.945005 q^{13} +(-2.19060 - 3.27846i) q^{14} +(-2.84798 - 1.16289i) q^{15} +1.00000i q^{16} +(4.06531 - 0.687932i) q^{17} +(-0.783008 + 0.783008i) q^{18} +(-0.759619 + 0.314645i) q^{19} +(-1.25165 - 1.85294i) q^{20} +(-3.83571 + 3.83571i) q^{21} +(-2.71014 + 1.81086i) q^{22} +(0.870015 + 4.37386i) q^{23} +(1.34931 - 0.268393i) q^{24} +(4.63845 + 1.86675i) q^{25} +(0.361638 - 0.873070i) q^{26} +(4.69833 + 3.13932i) q^{27} +(-3.86721 + 0.769236i) q^{28} +(-1.15414 + 5.80226i) q^{29} +(-2.16424 + 2.18617i) q^{30} +(0.323089 - 0.215881i) q^{31} +(0.923880 + 0.382683i) q^{32} +(3.17078 + 3.17078i) q^{33} +(0.920161 - 4.01912i) q^{34} +(6.20289 - 6.26573i) q^{35} +(0.423761 + 1.02305i) q^{36} +(-1.82613 + 9.18058i) q^{37} +0.822206i q^{38} +(-1.27510 - 0.253633i) q^{39} +(-2.19088 + 0.447284i) q^{40} +(0.470091 + 2.36331i) q^{41} +(2.07587 + 5.01159i) q^{42} +(-4.26550 - 10.2978i) q^{43} +(0.635888 + 3.19682i) q^{44} +(-2.06570 - 1.36525i) q^{45} +(4.37386 + 0.870015i) q^{46} -1.22865i q^{47} +(0.268393 - 1.34931i) q^{48} +(-3.27081 - 7.89644i) q^{49} +(3.49971 - 3.57099i) q^{50} +(-5.66998 - 0.162873i) q^{51} +(-0.668219 - 0.668219i) q^{52} +(5.52315 + 2.28776i) q^{53} +(4.69833 - 3.13932i) q^{54} +(-5.17956 - 5.12761i) q^{55} +(-0.769236 + 3.86721i) q^{56} +(1.10941 - 0.220675i) q^{57} +(4.91892 + 3.28672i) q^{58} +(-3.75030 + 9.05402i) q^{59} +(1.19154 + 2.83611i) q^{60} +(-7.69939 + 1.53150i) q^{61} +(-0.0758074 - 0.381110i) q^{62} +(-3.63038 + 2.42574i) q^{63} +(0.707107 - 0.707107i) q^{64} +(2.07454 + 0.401793i) q^{65} +(4.14282 - 1.71601i) q^{66} +(10.4319 - 10.4319i) q^{67} +(-3.36105 - 2.38817i) q^{68} -6.13518i q^{69} +(-3.41504 - 8.12851i) q^{70} +(2.98532 + 4.46784i) q^{71} +1.10734 q^{72} +(-1.30876 - 1.95869i) q^{73} +(7.78292 + 5.20038i) q^{74} +(-5.75766 - 3.76375i) q^{75} +(0.759619 + 0.314645i) q^{76} +(-11.8736 + 4.91822i) q^{77} +(-0.722286 + 1.08098i) q^{78} +(-1.11252 + 1.66501i) q^{79} +(-0.425176 + 2.19527i) q^{80} +(-3.14788 - 3.14788i) q^{81} +(2.36331 + 0.470091i) q^{82} +(-5.18863 + 12.5265i) q^{83} +5.42451 q^{84} +(9.21696 + 0.218274i) q^{85} -11.1463 q^{86} +(3.11458 - 7.51925i) q^{87} +(3.19682 + 0.635888i) q^{88} +(-2.30511 - 2.30511i) q^{89} +(-2.05183 + 1.38600i) q^{90} +(2.07013 - 3.09816i) q^{91} +(2.47759 - 3.70798i) q^{92} +(-0.493887 + 0.204575i) q^{93} +(-1.13512 - 0.470182i) q^{94} +(-1.80135 + 0.367759i) q^{95} +(-1.14389 - 0.764320i) q^{96} +(-6.67503 - 9.98989i) q^{97} -8.54705 q^{98} +(2.00523 + 3.00104i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q+O(q^{10}) $ 32 * q	$ 32 q - 8 q^{10} - 48 q^{15} + 16 q^{18} - 24 q^{25} + 8 q^{26} + 24 q^{27} - 8 q^{28} - 8 q^{29} - 16 q^{30} - 16 q^{31} + 64 q^{33} + 24 q^{34} + 32 q^{35} - 32 q^{37} - 32 q^{39} + 16 q^{41} - 24 q^{42} - 16 q^{43} - 16 q^{44} - 24 q^{45} - 16 q^{49} - 32 q^{50} + 32 q^{51} - 16 q^{52} + 16 q^{53} + 24 q^{54} - 8 q^{55} + 8 q^{56} - 24 q^{57} - 16 q^{58} - 64 q^{59} + 40 q^{60} - 24 q^{61} - 40 q^{62} - 24 q^{63} + 32 q^{65} + 16 q^{67} + 40 q^{70} + 8 q^{71} - 16 q^{72} + 32 q^{73} + 8 q^{74} - 56 q^{75} + 24 q^{77} + 32 q^{78} + 72 q^{79} + 8 q^{80} + 48 q^{81} + 48 q^{82} + 16 q^{83} + 8 q^{85} - 64 q^{86} + 40 q^{87} + 32 q^{88} + 16 q^{89} + 24 q^{90} + 48 q^{91} + 24 q^{92} - 8 q^{93} + 8 q^{94} + 56 q^{95} - 48 q^{97} - 64 q^{99}+O(q^{100}) $ 32 * q - 8 * q^10 - 48 * q^15 + 16 * q^18 - 24 * q^25 + 8 * q^26 + 24 * q^27 - 8 * q^28 - 8 * q^29 - 16 * q^30 - 16 * q^31 + 64 * q^33 + 24 * q^34 + 32 * q^35 - 32 * q^37 - 32 * q^39 + 16 * q^41 - 24 * q^42 - 16 * q^43 - 16 * q^44 - 24 * q^45 - 16 * q^49 - 32 * q^50 + 32 * q^51 - 16 * q^52 + 16 * q^53 + 24 * q^54 - 8 * q^55 + 8 * q^56 - 24 * q^57 - 16 * q^58 - 64 * q^59 + 40 * q^60 - 24 * q^61 - 40 * q^62 - 24 * q^63 + 32 * q^65 + 16 * q^67 + 40 * q^70 + 8 * q^71 - 16 * q^72 + 32 * q^73 + 8 * q^74 - 56 * q^75 + 24 * q^77 + 32 * q^78 + 72 * q^79 + 8 * q^80 + 48 * q^81 + 48 * q^82 + 16 * q^83 + 8 * q^85 - 64 * q^86 + 40 * q^87 + 32 * q^88 + 16 * q^89 + 24 * q^90 + 48 * q^91 + 24 * q^92 - 8 * q^93 + 8 * q^94 + 56 * q^95 - 48 * q^97 - 64 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$71$	$137$
$\chi(n)$	$e\left(\frac{5}{16}\right)$	$e\left(\frac{1}{4}\right)$

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
$3$	−1.34931	−	0.268393i	−0.779022	−	0.154957i	−0.210465	−	0.977601i	$-0.567498\pi$
$3$	−1.34931	−	0.268393i	−0.779022	−	0.154957i	−0.568556	+	0.822644i	$0.692498\pi$
$4$	−0.707107	−	0.707107i	−0.353553	−	0.353553i
$5$	2.19527	+	0.425176i	0.981756	+	0.190144i
$5$	2.19527	+	0.425176i	0.981756	+	0.190144i
$6$	−0.764320	+	1.14389i	−0.312032	+	0.466989i
$7$	2.19060	−	3.27846i	0.827969	−	1.23914i	−0.140518	−	0.990078i	$-0.544877\pi$
$7$	2.19060	−	3.27846i	0.827969	−	1.23914i	0.968487	−	0.249065i	$-0.0801232\pi$
$8$	−0.923880	+	0.382683i	−0.326641	+	0.135299i
$9$	−1.02305	−	0.423761i	−0.341016	−	0.141254i
$10$	1.23291	−	1.86546i	0.389879	−	0.589910i
$11$	−2.71014	−	1.81086i	−0.817137	−	0.545993i	0.0753025	−	0.997161i	$-0.476008\pi$
$11$	−2.71014	−	1.81086i	−0.817137	−	0.545993i	−0.892439	+	0.451167i	$0.851008\pi$
$12$	0.764320	+	1.14389i	0.220640	+	0.330211i
$13$	0.945005			0.262097			0.131049	−	0.991376i	$-0.458166\pi$
$13$	0.945005			0.262097			0.131049	+	0.991376i	$0.458166\pi$
$14$	−2.19060	−	3.27846i	−0.585462	−	0.876206i
$15$	−2.84798	−	1.16289i	−0.735345	−	0.300257i
$16$			1.00000i			0.250000i
$17$	4.06531	−	0.687932i	0.985983	−	0.166848i
$17$	4.06531	−	0.687932i	0.985983	−	0.166848i
$18$	−0.783008	+	0.783008i	−0.184557	+	0.184557i
$19$	−0.759619	+	0.314645i	−0.174269	+	0.0721844i	−0.468112	−	0.883669i	$-0.655066\pi$
$19$	−0.759619	+	0.314645i	−0.174269	+	0.0721844i	0.293843	+	0.955854i	$0.405066\pi$
$20$	−1.25165	−	1.85294i	−0.279877	−	0.414329i
$21$	−3.83571	+	3.83571i	−0.837019	+	0.837019i
$22$	−2.71014	+	1.81086i	−0.577803	+	0.386076i
$23$	0.870015	+	4.37386i	0.181411	+	0.912013i	0.959036	+	0.283285i	$0.0914241\pi$
$23$	0.870015	+	4.37386i	0.181411	+	0.912013i	−0.777625	+	0.628728i	$0.783576\pi$
$24$	1.34931	−	0.268393i	0.275426	−	0.0547856i
$25$	4.63845	+	1.86675i	0.927690	+	0.373351i
$26$	0.361638	−	0.873070i	0.0709230	−	0.171223i
$27$	4.69833	+	3.13932i	0.904194	+	0.604163i
$28$	−3.86721	+	0.769236i	−0.730834	+	0.145372i
$29$	−1.15414	+	5.80226i	−0.214319	+	1.07745i	0.712422	+	0.701751i	$0.247598\pi$
$29$	−1.15414	+	5.80226i	−0.214319	+	1.07745i	−0.926741	+	0.375701i	$0.877402\pi$
$30$	−2.16424	+	2.18617i	−0.395135	+	0.399138i
$31$	0.323089	−	0.215881i	0.0580285	−	0.0387734i	−0.526218	−	0.850350i	$-0.676390\pi$
$31$	0.323089	−	0.215881i	0.0580285	−	0.0387734i	0.584246	+	0.811577i	$0.301390\pi$
$32$	0.923880	+	0.382683i	0.163320	+	0.0676495i
$33$	3.17078	+	3.17078i	0.551962	+	0.551962i
$34$	0.920161	−	4.01912i	0.157806	−	0.689273i
$35$	6.20289	−	6.26573i	1.04848	−	1.05910i
$36$	0.423761	+	1.02305i	0.0706268	+	0.170508i
$37$	−1.82613	+	9.18058i	−0.300214	+	1.50928i	0.476359	+	0.879251i	$0.341956\pi$
$37$	−1.82613	+	9.18058i	−0.300214	+	1.50928i	−0.776573	+	0.630028i	$0.783044\pi$
$38$			0.822206i			0.133379i
$39$	−1.27510	−	0.253633i	−0.204179	−	0.0406138i
$40$	−2.19088	+	0.447284i	−0.346408	+	0.0707217i
$41$	0.470091	+	2.36331i	0.0734159	+	0.369087i	0.999975	−	0.00706230i	$-0.00224802\pi$
$41$	0.470091	+	2.36331i	0.0734159	+	0.369087i	−0.926559	+	0.376149i	$0.877248\pi$
$42$	2.07587	+	5.01159i	0.320313	+	0.773305i
$43$	−4.26550	−	10.2978i	−0.650483	−	1.57040i	−0.812079	−	0.583548i	$-0.801664\pi$
$43$	−4.26550	−	10.2978i	−0.650483	−	1.57040i	0.161596	−	0.986857i	$-0.448336\pi$
$44$	0.635888	+	3.19682i	0.0958637	+	0.481939i
$45$	−2.06570	−	1.36525i	−0.307936	−	0.203519i
$46$	4.37386	+	0.870015i	0.644890	+	0.128277i
$47$		−	1.22865i		−	0.179216i	−0.995977	−	0.0896082i	$-0.971439\pi$
$47$		−	1.22865i		−	0.179216i	0.995977	−	0.0896082i	$-0.0285615\pi$
$48$	0.268393	−	1.34931i	0.0387393	−	0.194755i
$49$	−3.27081	−	7.89644i	−0.467259	−	1.12806i
$50$	3.49971	−	3.57099i	0.494934	−	0.505015i
$51$	−5.66998	−	0.162873i	−0.793956	−	0.0228068i
$52$	−0.668219	−	0.668219i	−0.0926653	−	0.0926653i
$53$	5.52315	+	2.28776i	0.758662	+	0.314248i	0.728271	−	0.685290i	$-0.240324\pi$
$53$	5.52315	+	2.28776i	0.758662	+	0.314248i	0.0303920	+	0.999538i	$0.490324\pi$
$54$	4.69833	−	3.13932i	0.639361	−	0.427208i
$55$	−5.17956	−	5.12761i	−0.698412	−	0.691406i
$56$	−0.769236	+	3.86721i	−0.102794	+	0.516778i
$57$	1.10941	−	0.220675i	0.146945	−	0.0292291i
$58$	4.91892	+	3.28672i	0.645886	+	0.431567i
$59$	−3.75030	+	9.05402i	−0.488247	+	1.17873i	0.467354	+	0.884070i	$0.345207\pi$
$59$	−3.75030	+	9.05402i	−0.488247	+	1.17873i	−0.955601	+	0.294662i	$0.904793\pi$
$60$	1.19154	+	2.83611i	0.153827	+	0.366141i
$61$	−7.69939	+	1.53150i	−0.985806	+	0.196089i	−0.661567	−	0.749886i	$-0.730108\pi$
$61$	−7.69939	+	1.53150i	−0.985806	+	0.196089i	−0.324239	+	0.945975i	$0.605108\pi$
$62$	−0.0758074	−	0.381110i	−0.00962755	−	0.0484010i
$63$	−3.63038	+	2.42574i	−0.457384	+	0.305614i
$64$	0.707107	−	0.707107i	0.0883883	−	0.0883883i
$65$	2.07454	+	0.401793i	0.257315	+	0.0498363i
$66$	4.14282	−	1.71601i	0.509946	−	0.211227i
$67$	10.4319	−	10.4319i	1.27446	−	1.27446i	0.330736	−	0.943723i	$-0.392703\pi$
$67$	10.4319	−	10.4319i	1.27446	−	1.27446i	0.943723	−	0.330736i	$-0.107297\pi$
$68$	−3.36105	−	2.38817i	−0.407587	−	0.289608i
$69$		−	6.13518i		−	0.738588i
$70$	−3.41504	−	8.12851i	−0.408175	−	0.971543i
$71$	2.98532	+	4.46784i	0.354292	+	0.530235i	0.965216	−	0.261454i	$-0.0842019\pi$
$71$	2.98532	+	4.46784i	0.354292	+	0.530235i	−0.610924	+	0.791689i	$0.709202\pi$
$72$	1.10734			0.130501
$73$	−1.30876	−	1.95869i	−0.153178	−	0.229247i	0.746942	−	0.664889i	$-0.231521\pi$
$73$	−1.30876	−	1.95869i	−0.153178	−	0.229247i	−0.900120	+	0.435642i	$0.856521\pi$
$74$	7.78292	+	5.20038i	0.904746	+	0.604532i
$75$	−5.75766	−	3.76375i	−0.664837	−	0.434601i
$76$	0.759619	+	0.314645i	0.0871343	+	0.0360922i
$77$	−11.8736	+	4.91822i	−1.35313	+	0.560484i
$78$	−0.722286	+	1.08098i	−0.0817828	+	0.122397i
$79$	−1.11252	+	1.66501i	−0.125169	+	0.187328i	−0.888761	−	0.458370i	$-0.848433\pi$
$79$	−1.11252	+	1.66501i	−0.125169	+	0.187328i	0.763593	+	0.645698i	$0.223433\pi$
$80$	−0.425176	+	2.19527i	−0.0475361	+	0.245439i
$81$	−3.14788	−	3.14788i	−0.349765	−	0.349765i
$82$	2.36331	+	0.470091i	0.260984	+	0.0519129i
$83$	−5.18863	+	12.5265i	−0.569526	+	1.37496i	0.332429	+	0.943128i	$0.392132\pi$
$83$	−5.18863	+	12.5265i	−0.569526	+	1.37496i	−0.901955	+	0.431830i	$0.857868\pi$
$84$	5.42451			0.591862
$85$	9.21696	+	0.218274i	0.999720	+	0.0236751i
$86$	−11.1463			−1.20194
$87$	3.11458	−	7.51925i	0.333918	−	0.806149i
$88$	3.19682	+	0.635888i	0.340783	+	0.0677859i
$89$	−2.30511	−	2.30511i	−0.244341	−	0.244341i	0.574302	−	0.818643i	$-0.305273\pi$
$89$	−2.30511	−	2.30511i	−0.244341	−	0.244341i	−0.818643	+	0.574302i	$0.805273\pi$
$90$	−2.05183	+	1.38600i	−0.216282	+	0.146097i
$91$	2.07013	−	3.09816i	0.217008	−	0.324776i
$92$	2.47759	−	3.70798i	0.258307	−	0.386583i
$93$	−0.493887	+	0.204575i	−0.0512137	+	0.0212134i
$94$	−1.13512	−	0.470182i	−0.117079	−	0.0484956i
$95$	−1.80135	+	0.367759i	−0.184815	+	0.0377313i
$96$	−1.14389	−	0.764320i	−0.116747	−	0.0780081i
$97$	−6.67503	−	9.98989i	−0.677747	−	1.01432i	−0.997759	−	0.0669066i	$-0.978687\pi$
$97$	−6.67503	−	9.98989i	−0.677747	−	1.01432i	0.320012	−	0.947413i	$-0.396313\pi$
$98$	−8.54705			−0.863382
$99$	2.00523	+	3.00104i	0.201534	+	0.301616i
$100$	−1.95989	−	4.59987i	−0.195989	−	0.459987i
$101$		−	18.2474i		−	1.81568i	−0.419314	−	0.907841i	$-0.637729\pi$
$101$		−	18.2474i		−	1.81568i	0.419314	−	0.907841i	$-0.362271\pi$
$102$	−2.32028	+	5.17605i	−0.229742	+	0.512505i
$103$	2.89872	−	2.89872i	0.285619	−	0.285619i	−0.549726	−	0.835345i	$-0.685268\pi$
$103$	2.89872	−	2.89872i	0.285619	−	0.285619i	0.835345	+	0.549726i	$0.185268\pi$
$104$	−0.873070	+	0.361638i	−0.0856116	+	0.0354615i
$105$	−10.0513	+	6.78957i	−0.980904	+	0.662594i
$106$	4.22723	−	4.22723i	0.410585	−	0.410585i
$107$	−13.6609	+	9.12791i	−1.32065	+	0.882429i	−0.997945	−	0.0640716i	$-0.979591\pi$
$107$	−13.6609	+	9.12791i	−1.32065	+	0.882429i	−0.322703	+	0.946500i	$0.604591\pi$
$108$	−1.10238	−	5.54206i	−0.106077	−	0.533285i
$109$	14.2880	−	2.84207i	1.36855	−	0.272221i	0.544508	−	0.838755i	$-0.316716\pi$
$109$	14.2880	−	2.84207i	1.36855	−	0.272221i	0.824038	+	0.566535i	$0.191716\pi$
$110$	−6.71942	+	2.82304i	−0.640672	+	0.269166i
$111$	4.92802	−	11.8973i	0.467747	−	1.12924i
$112$	3.27846	+	2.19060i	0.309786	+	0.206992i
$113$	19.8135	−	3.94115i	1.86390	−	0.370752i	0.871155	−	0.491008i	$-0.163372\pi$
$113$	19.8135	−	3.94115i	1.86390	−	0.370752i	0.992743	+	0.120256i	$0.0383716\pi$
$114$	0.220675	−	1.10941i	0.0206681	−	0.103905i
$115$	0.0502611	+	9.97172i	0.00468687	+	0.929868i
$116$	4.91892	−	3.28672i	0.456710	−	0.305164i
$117$	−0.966786	−	0.400456i	−0.0893794	−	0.0370222i
$118$	6.92964	+	6.92964i	0.637925	+	0.637925i
$119$	6.65011	−	14.8350i	0.609614	−	1.35992i
$120$	3.07621	−	0.0155052i	0.280818	−	0.00141542i
$121$	−0.143875	−	0.347346i	−0.0130796	−	0.0315769i
$122$	−1.53150	+	7.69939i	−0.138656	+	0.697070i
$123$		−	3.31499i		−	0.298903i
$124$	−0.381110	−	0.0758074i	−0.0342247	−	0.00680771i
$125$	9.38897	+	6.07019i	0.839775	+	0.542935i
$126$	0.851806	+	4.28232i	0.0758849	+	0.381499i
$127$	−3.52064	−	8.49957i	−0.312406	−	0.754214i	−0.999615	−	0.0277546i	$-0.991164\pi$
$127$	−3.52064	−	8.49957i	−0.312406	−	0.754214i	0.687209	−	0.726460i	$-0.258836\pi$
$128$	−0.382683	−	0.923880i	−0.0338248	−	0.0816602i
$129$	2.99159	+	15.0397i	0.263395	+	1.32418i
$130$	1.16510	−	1.76287i	0.102186	−	0.154614i
$131$	11.0335	+	2.19470i	0.964001	+	0.191752i	0.651906	−	0.758300i	$-0.273970\pi$
$131$	11.0335	+	2.19470i	0.964001	+	0.191752i	0.312094	+	0.950051i	$0.398970\pi$
$132$		−	4.48416i		−	0.390296i
$133$	−0.632471	+	3.17964i	−0.0548422	+	0.275710i
$134$	−5.64570	−	13.6299i	−0.487715	−	1.17745i
$135$	8.97935	+	8.88929i	0.772819	+	0.765068i
$136$	−3.49260	+	2.19129i	−0.299488	+	0.187902i
$137$	−2.31819	−	2.31819i	−0.198056	−	0.198056i	0.601110	−	0.799166i	$-0.294725\pi$
$137$	−2.31819	−	2.31819i	−0.198056	−	0.198056i	−0.799166	+	0.601110i	$0.794725\pi$
$138$	−5.66816	−	2.34783i	−0.482506	−	0.199861i
$139$	−11.1813	+	7.47113i	−0.948388	+	0.633693i	−0.930556	−	0.366148i	$-0.880676\pi$
$139$	−11.1813	+	7.47113i	−0.948388	+	0.633693i	−0.0178315	+	0.999841i	$0.505676\pi$
$140$	−8.81665	+	0.0444391i	−0.745143	+	0.00375579i
$141$	−0.329761	+	1.65782i	−0.0277709	+	0.139614i
$142$	5.27018	−	1.04830i	0.442264	−	0.0879717i
$143$	−2.56109	−	1.71127i	−0.214169	−	0.143103i
$144$	0.423761	−	1.02305i	0.0353134	−	0.0852541i
$145$	−5.00064	+	12.2468i	−0.415280	+	1.01704i
$146$	−2.31043	+	0.459574i	−0.191213	+	0.0380346i
$147$	2.29397	+	11.5326i	0.189204	+	0.951191i
$148$	7.78292	−	5.20038i	0.639752	−	0.427469i
$149$	−14.7842	+	14.7842i	−1.21117	+	1.21117i	−0.240529	+	0.970642i	$0.577321\pi$
$149$	−14.7842	+	14.7842i	−1.21117	+	1.21117i	−0.970642	+	0.240529i	$0.922679\pi$
$150$	−5.68061	+	3.87906i	−0.463820	+	0.316724i
$151$	−2.05755	+	0.852263i	−0.167441	+	0.0693562i	−0.464829	−	0.885400i	$-0.653884\pi$
$151$	−2.05755	+	0.852263i	−0.167441	+	0.0693562i	0.297389	+	0.954757i	$0.403884\pi$
$152$	0.581388	−	0.581388i	0.0471568	−	0.0471568i
$153$	−4.45053	−	1.01893i	−0.359804	−	0.0823757i
$154$			12.8519i			1.03564i
$155$	0.801057	−	0.336549i	0.0643424	−	0.0270323i
$156$	0.722286	+	1.08098i	0.0578292	+	0.0865474i
$157$	6.28945			0.501953			0.250977	−	0.967993i	$-0.419248\pi$
$157$	6.28945			0.501953			0.250977	+	0.967993i	$0.419248\pi$
$158$	1.11252	+	1.66501i	0.0885075	+	0.132461i
$159$	−6.83839	−	4.56927i	−0.542320	−	0.362366i
$160$	1.86546	+	1.23291i	0.147478	+	0.0974698i
$161$	16.2454	+	6.72906i	1.28032	+	0.530324i
$162$	−4.11290	+	1.70362i	−0.323140	+	0.133849i
$163$	−4.06656	+	6.08604i	−0.318518	+	0.476695i	−0.955834	−	0.293907i	$-0.905044\pi$
$163$	−4.06656	+	6.08604i	−0.318518	+	0.476695i	0.637316	+	0.770602i	$0.280044\pi$
$164$	1.33871	−	2.00352i	0.104535	−	0.156448i
$165$	5.61259	+	8.30887i	0.436939	+	0.646844i
$166$	9.58734	+	9.58734i	0.744122	+	0.744122i
$167$	−5.62419	−	1.11872i	−0.435213	−	0.0865692i	−0.0273785	−	0.999625i	$-0.508716\pi$
$167$	−5.62419	−	1.11872i	−0.435213	−	0.0865692i	−0.407834	+	0.913056i	$0.633716\pi$
$168$	2.07587	−	5.01159i	0.160157	−	0.386653i
$169$	−12.1070			−0.931305
$170$	3.72884	−	8.43183i	0.285989	−	0.646692i
$171$	0.910462			0.0696248
$172$	−4.26550	+	10.2978i	−0.325241	+	0.785202i
$173$	−12.5081	−	2.48802i	−0.950974	−	0.189160i	−0.304856	−	0.952398i	$-0.598608\pi$
$173$	−12.5081	−	2.48802i	−0.950974	−	0.189160i	−0.646117	+	0.763238i	$0.723608\pi$
$174$	−5.75499	−	5.75499i	−0.436285	−	0.436285i
$175$	16.2811	−	11.1177i	1.23073	−	0.840418i
$176$	1.81086	−	2.71014i	0.136498	−	0.204284i
$177$	7.49033	−	11.2101i	0.563008	−	0.842601i
$178$	−3.01177	+	1.24751i	−0.225741	+	0.0935052i
$179$	1.30787	+	0.541736i	0.0977545	+	0.0404912i	0.431025	−	0.902340i	$-0.358152\pi$
$179$	1.30787	+	0.541736i	0.0977545	+	0.0404912i	−0.333270	+	0.942831i	$0.608152\pi$
$180$	0.495295	+	2.42605i	0.0369171	+	0.180827i
$181$	2.71424	+	1.81360i	0.201748	+	0.134804i	0.652340	−	0.757926i	$-0.273787\pi$
$181$	2.71424	+	1.81360i	0.201748	+	0.134804i	−0.450593	+	0.892730i	$0.648787\pi$
$182$	−2.07013	−	3.09816i	−0.153448	−	0.229651i
$183$	10.7999			0.798350
$184$	−2.47759	−	3.70798i	−0.182650	−	0.273356i
$185$	−7.91222	+	19.3775i	−0.581718	+	1.42466i
$186$			0.534580i			0.0391973i
$187$	−12.2633	−	5.49730i	−0.896781	−	0.402002i
$188$	−0.868784	+	0.868784i	−0.0633626	+	0.0633626i
$189$	20.5843	−	8.52630i	1.49729	−	0.620197i
$190$	−0.349582	+	1.80497i	−0.0253614	+	0.130946i
$191$	1.31897	−	1.31897i	0.0954376	−	0.0954376i	−0.657776	−	0.753214i	$-0.728503\pi$
$191$	1.31897	−	1.31897i	0.0954376	−	0.0954376i	0.753214	+	0.657776i	$0.228503\pi$
$192$	−1.14389	+	0.764320i	−0.0825528	+	0.0551600i
$193$	−5.02816	−	25.2783i	−0.361935	−	1.81957i	−0.547342	−	0.836909i	$-0.684360\pi$
$193$	−5.02816	−	25.2783i	−0.361935	−	1.81957i	0.185407	−	0.982662i	$-0.440640\pi$
$194$	−11.7839	+	2.34396i	−0.846033	+	0.168287i
$195$	−2.69135	−	1.09894i	−0.192732	−	0.0786964i
$196$	−3.27081	+	7.89644i	−0.233630	+	0.564032i
$197$	8.22075	+	5.49293i	0.585704	+	0.391355i	0.812822	−	0.582512i	$-0.197930\pi$
$197$	8.22075	+	5.49293i	0.585704	+	0.391355i	−0.227118	+	0.973867i	$0.572930\pi$
$198$	3.53997	−	0.704144i	0.251575	−	0.0500414i
$199$	−4.54368	+	22.8426i	−0.322093	+	1.61927i	0.392514	+	0.919746i	$0.371605\pi$
$199$	−4.54368	+	22.8426i	−0.322093	+	1.61927i	−0.714607	+	0.699526i	$0.753395\pi$
$200$	−4.99975	+	0.0504023i	−0.353535	+	0.00356398i
$201$	−16.8757	+	11.2760i	−1.19032	+	0.795345i
$202$	−16.8584	−	6.98297i	−1.18615	−	0.491320i
$203$	16.4942	+	16.4942i	1.15767	+	1.15767i
$204$	3.89411	+	4.12445i	0.272642	+	0.288769i
$205$	0.0271574	+	5.38798i	0.00189675	+	0.376313i
$206$	−1.56878	−	3.78736i	−0.109302	−	0.263878i
$207$	0.963402	−	4.84335i	0.0669611	−	0.336636i
$208$			0.945005i			0.0655243i
$209$	2.62845	+	0.522831i	0.181814	+	0.0361650i
$210$	2.42629	+	11.8844i	0.167430	+	0.820103i
$211$	3.71408	+	18.6719i	0.255688	+	1.28543i	0.868693	+	0.495351i	$0.164960\pi$
$211$	3.71408	+	18.6719i	0.255688	+	1.28543i	−0.613005	+	0.790079i	$0.710040\pi$
$212$	−2.28776	−	5.52315i	−0.157124	−	0.379331i
$213$	−2.82896	−	6.82972i	−0.193837	−	0.467965i
$214$	3.20530	+	16.1141i	0.219110	+	1.10154i
$215$	−4.98555	−	24.4201i	−0.340012	−	1.66544i
$216$	−5.54206	−	1.10238i	−0.377089	−	0.0750077i
$217$		−	1.53215i		−	0.104009i
$218$	2.84207	−	14.2880i	0.192489	−	0.967708i
$219$	1.24021	+	2.99413i	0.0838056	+	0.202325i
$220$	0.0367355	+	7.28827i	0.00247670	+	0.491375i
$221$	3.84174	−	0.650099i	0.258423	−	0.0437304i
$222$	−9.10579	−	9.10579i	−0.611141	−	0.611141i
$223$	5.17632	+	2.14410i	0.346632	+	0.143580i	0.549206	−	0.835687i	$-0.314930\pi$
$223$	5.17632	+	2.14410i	0.346632	+	0.143580i	−0.202573	+	0.979267i	$0.564930\pi$
$224$	3.27846	−	2.19060i	0.219052	−	0.146366i
$225$	−3.95431	−	3.87538i	−0.263620	−	0.258358i
$226$	3.94115	−	19.8135i	0.262161	−	1.31797i
$227$	−5.77757	+	1.14923i	−0.383471	+	0.0762771i	−0.383061	−	0.923723i	$-0.625130\pi$
$227$	−5.77757	+	1.14923i	−0.383471	+	0.0762771i	−0.000409238		1.00000i	$0.500130\pi$
$228$	−0.940510	−	0.628429i	−0.0622868	−	0.0416187i
$229$	1.42493	−	3.44010i	0.0941623	−	0.227328i	−0.869780	−	0.493440i	$-0.835739\pi$
$229$	1.42493	−	3.44010i	0.0941623	−	0.227328i	0.963942	+	0.266112i	$0.0857392\pi$
$230$	9.23191	+	3.76958i	0.608734	+	0.248559i
$231$	17.3412	−	3.44938i	1.14097	−	0.226952i
$232$	−1.15414	−	5.80226i	−0.0757731	−	0.380937i
$233$	−0.894719	+	0.597832i	−0.0586150	+	0.0391653i	−0.584532	−	0.811370i	$-0.698722\pi$
$233$	−0.894719	+	0.597832i	−0.0586150	+	0.0391653i	0.525918	+	0.850536i	$0.323722\pi$
$234$	−0.739946	+	0.739946i	−0.0483718	+	0.0483718i
$235$	0.522391	−	2.69721i	0.0340770	−	0.175947i
$236$	9.05402	−	3.75030i	0.589366	−	0.244123i
$237$	1.94801	−	1.94801i	0.126537	−	0.126537i
$238$	−11.1608	−	11.8210i	−0.723449	−	0.766241i
$239$		−	19.4219i		−	1.25630i	−0.778092	−	0.628150i	$-0.783812\pi$
$239$		−	19.4219i		−	1.25630i	0.778092	−	0.628150i	$-0.216188\pi$
$240$	1.16289	−	2.84798i	0.0750642	−	0.183836i
$241$	−9.75657	−	14.6017i	−0.628476	−	0.940581i	−0.999926	−	0.0121278i	$-0.996139\pi$
$241$	−9.75657	−	14.6017i	−0.628476	−	0.940581i	0.371451	−	0.928453i	$-0.378861\pi$
$242$	−0.375965			−0.0241679
$243$	−6.01539	−	9.00266i	−0.385887	−	0.577521i
$244$	6.52723	+	4.36135i	0.417863	+	0.279207i
$245$	−3.82295	−	18.7255i	−0.244240	−	1.19633i
$246$	−3.06266	−	1.26859i	−0.195268	−	0.0808826i
$247$	−0.717844	+	0.297341i	−0.0456753	+	0.0189193i
$248$	−0.215881	+	0.323089i	−0.0137085	+	0.0205162i
$249$	10.3631	−	15.5094i	0.656733	−	0.982870i
$250$	9.20113	−	6.35131i	0.581931	−	0.401692i
$251$	−0.770832	−	0.770832i	−0.0486545	−	0.0486545i	0.682361	−	0.731015i	$-0.260953\pi$
$251$	−0.770832	−	0.770832i	−0.0486545	−	0.0486545i	−0.731015	+	0.682361i	$0.760953\pi$
$252$	4.28232	+	0.851806i	0.269761	+	0.0536588i
$253$	5.56257	−	13.4292i	0.349716	−	0.844288i
$254$	−9.19986			−0.577251
$255$	−12.3779	−	2.76829i	−0.775135	−	0.173357i
$256$	−1.00000			−0.0625000
$257$	−3.53031	+	8.52291i	−0.220214	+	0.531645i	−0.994919	−	0.100679i	$-0.967899\pi$
$257$	−3.53031	+	8.52291i	−0.220214	+	0.531645i	0.774705	+	0.632323i	$0.217899\pi$
$258$	15.0397	+	2.99159i	0.936334	+	0.186248i
$259$	26.0979	+	26.0979i	1.62164	+	1.62164i
$260$	−1.18281	−	1.75103i	−0.0733550	−	0.108595i
$261$	3.63951	−	5.44692i	0.225280	−	0.337156i
$262$	6.24997	−	9.35374i	0.386124	−	0.577876i
$263$	3.19596	−	1.32381i	0.197071	−	0.0816296i	−0.281965	−	0.959425i	$-0.590986\pi$
$263$	3.19596	−	1.32381i	0.197071	−	0.0816296i	0.479036	+	0.877795i	$0.340986\pi$
$264$	−4.14282	−	1.71601i	−0.254973	−	0.105613i
$265$	11.1521	+	7.37057i	0.685069	+	0.452771i
$266$	2.69557	+	1.80112i	0.165276	+	0.110434i
$267$	2.49162	+	3.72897i	0.152484	+	0.228209i
$268$	−14.7529			−0.901179
$269$	−10.3576	−	15.5012i	−0.631513	−	0.945126i	−0.999881	−	0.0154457i	$-0.995083\pi$
$269$	−10.3576	−	15.5012i	−0.631513	−	0.945126i	0.368368	−	0.929680i	$-0.379917\pi$
$270$	11.6489	−	4.89406i	0.708928	−	0.297843i
$271$		−	6.00978i		−	0.365068i	−0.983200	−	0.182534i	$-0.941570\pi$
$271$		−	6.00978i		−	0.365068i	0.983200	−	0.182534i	$-0.0584300\pi$
$272$	0.687932	+	4.06531i	0.0417120	+	0.246496i
$273$	−3.62476	+	3.62476i	−0.219380	+	0.219380i
$274$	−3.02886	+	1.25459i	−0.182980	+	0.0757928i
$275$	−9.19041	−	13.4587i	−0.554203	−	0.811591i
$276$	−4.33822	+	4.33822i	−0.261130	+	0.261130i
$277$	−4.54915	+	3.03964i	−0.273332	+	0.182635i	−0.684680	−	0.728844i	$-0.740058\pi$
$277$	−4.54915	+	3.03964i	−0.273332	+	0.182635i	0.411348	+	0.911478i	$0.365058\pi$
$278$	2.62351	+	13.1893i	0.157348	+	0.791040i
$279$	−0.422018	+	0.0839447i	−0.0252656	+	0.00502564i
$280$	−3.33293	+	8.16253i	−0.199181	+	0.487804i
$281$	−2.89114	+	6.97982i	−0.172471	+	0.416381i	−0.986352	−	0.164650i	$-0.947351\pi$
$281$	−2.89114	+	6.97982i	−0.172471	+	0.416381i	0.813881	+	0.581031i	$0.197351\pi$
$282$	1.40543	+	0.939079i	0.0836922	+	0.0559213i
$283$	−17.7085	+	3.52244i	−1.05266	+	0.209387i	−0.690949	−	0.722903i	$-0.742807\pi$
$283$	−17.7085	+	3.52244i	−1.05266	+	0.209387i	−0.361711	+	0.932290i	$0.617807\pi$
$284$	1.04830	−	5.27018i	0.0622054	−	0.312728i
$285$	2.52928	−	0.0127485i	0.149821	−	0.000755154i
$286$	−2.56109	+	1.71127i	−0.151441	+	0.101189i
$287$	8.77780	+	3.63589i	0.518137	+	0.214620i
$288$	−0.783008	−	0.783008i	−0.0461392	−	0.0461392i
$289$	16.0535	−	5.59331i	0.944324	−	0.329018i
$290$	9.40094	+	9.30664i	0.552042	+	0.546505i
$291$	6.32543	+	15.2709i	0.370804	+	0.895199i
$292$	−0.459574	+	2.31043i	−0.0268945	+	0.135208i
$293$		−	13.8670i		−	0.810117i	−0.914291	−	0.405058i	$-0.867251\pi$
$293$		−	13.8670i		−	0.810117i	0.914291	−	0.405058i	$-0.132749\pi$
$294$	11.5326	+	2.29397i	0.672593	+	0.133787i
$295$	−12.0825	+	18.2815i	−0.703469	+	1.06439i
$296$	−1.82613	−	9.18058i	−0.106142	−	0.533611i
$297$	−7.04825	−	17.0160i	−0.408981	−	0.987367i
$298$	8.00116	+	19.3165i	0.463495	+	1.11898i
$299$	0.822168	+	4.13332i	0.0475472	+	0.239036i
$300$	1.40991	+	6.73266i	0.0814010	+	0.388710i
$301$	−43.1051	−	8.57413i	−2.48453	−	0.494205i
$302$			2.22707i			0.128154i
$303$	−4.89748	+	24.6213i	−0.281353	+	1.41446i
$304$	−0.314645	−	0.759619i	−0.0180461	−	0.0435672i
$305$	−17.5534	+	0.0884756i	−1.00511	+	0.00506610i
$306$	−2.64451	+	3.72183i	−0.151177	+	0.212763i
$307$	−4.32686	−	4.32686i	−0.246947	−	0.246947i	0.572769	−	0.819717i	$-0.305869\pi$
$307$	−4.32686	−	4.32686i	−0.246947	−	0.246947i	−0.819717	+	0.572769i	$0.805869\pi$
$308$	11.8736	+	4.91822i	0.676564	+	0.280242i
$309$	−4.68926	+	3.13326i	−0.266762	+	0.178245i
$310$	−0.00437942	−	0.868872i	−0.000248735	−	0.0493486i
$311$	−2.44006	+	12.2670i	−0.138363	+	0.695597i	0.847866	+	0.530211i	$0.177887\pi$
$311$	−2.44006	+	12.2670i	−0.138363	+	0.695597i	−0.986229	+	0.165387i	$0.947113\pi$
$312$	1.27510	−	0.253633i	0.0721883	−	0.0143591i
$313$	−11.7310	−	7.83841i	−0.663076	−	0.443053i	0.177956	−	0.984038i	$-0.443052\pi$
$313$	−11.7310	−	7.83841i	−0.663076	−	0.443053i	−0.841032	+	0.540985i	$0.818052\pi$
$314$	2.40687	−	5.81070i	0.135828	−	0.327917i
$315$	−9.00103	+	3.78161i	−0.507151	+	0.213070i
$316$	1.96401	−	0.390666i	0.110484	−	0.0219767i
$317$	4.08862	+	20.5549i	0.229640	+	1.15448i	0.907749	+	0.419515i	$0.137800\pi$
$317$	4.08862	+	20.5549i	0.229640	+	1.15448i	−0.678109	+	0.734961i	$0.737200\pi$
$318$	−6.83839	+	4.56927i	−0.383478	+	0.256232i
$319$	13.6349	−	13.6349i	0.763410	−	0.763410i
$320$	1.85294	−	1.25165i	0.103582	−	0.0699693i
$321$	20.8826	−	8.64985i	1.16555	−	0.482787i
$322$	12.4337	−	12.4337i	0.692902	−	0.692902i
$323$	−2.87163	+	1.80169i	−0.159782	+	0.100249i
$324$			4.45178i			0.247321i
$325$	4.38336	+	1.76409i	0.243145	+	0.0978542i
$326$	4.06656	+	6.08604i	0.225226	+	0.337075i
$327$	−20.0417			−1.10831
$328$	−1.33871	−	2.00352i	−0.0739177	−	0.110626i
$329$	−4.02807	−	2.69147i	−0.222075	−	0.148386i
$330$	9.82424	−	2.00569i	0.540806	−	0.110410i
$331$	10.7768	+	4.46388i	0.592344	+	0.245357i	0.658659	−	0.752442i	$-0.271124\pi$
$331$	10.7768	+	4.46388i	0.592344	+	0.245357i	−0.0663146	+	0.997799i	$0.521124\pi$
$332$	12.5265	−	5.18863i	0.687479	−	0.284763i
$333$	5.75860	−	8.61835i	0.315569	−	0.472282i
$334$	−3.18585	+	4.76796i	−0.174322	+	0.260891i
$335$	27.3363	−	18.4655i	1.49354	−	1.00888i
$336$	−3.83571	−	3.83571i	−0.209255	−	0.209255i
$337$	29.6577	+	5.89928i	1.61556	+	0.321354i	0.918427	−	0.395591i	$-0.129460\pi$
$337$	29.6577	+	5.89928i	1.61556	+	0.321354i	0.697130	+	0.716945i	$0.254460\pi$
$338$	−4.63314	+	11.1854i	−0.252009	+	0.608404i
$339$	−27.7922			−1.50947
$340$	−6.36303	−	6.67172i	−0.345084	−	0.361825i
$341$	−1.26655			−0.0685873
$342$	0.348419	−	0.841157i	0.0188403	−	0.0454846i
$343$	−5.98276	−	1.19005i	−0.323039	−	0.0642564i
$344$	7.88162	+	7.88162i	0.424948	+	0.424948i
$345$	2.60853	−	13.4684i	0.140438	−	0.725114i
$346$	−7.08527	+	10.6039i	−0.380907	+	0.570067i
$347$	−15.1027	+	22.6029i	−0.810758	+	1.21338i	0.163186	+	0.986595i	$0.447823\pi$
$347$	−15.1027	+	22.6029i	−0.810758	+	1.21338i	−0.973944	+	0.226789i	$0.927177\pi$
$348$	−7.51925	+	3.11458i	−0.403074	+	0.166959i
$349$	−17.0986	−	7.08249i	−0.915269	−	0.379117i	−0.125198	−	0.992132i	$-0.539957\pi$
$349$	−17.0986	−	7.08249i	−0.915269	−	0.379117i	−0.790071	+	0.613015i	$0.789957\pi$
$350$	−4.04090	−	19.2963i	−0.215995	−	1.03143i
$351$	4.43994	+	2.96667i	0.236987	+	0.158349i
$352$	−1.81086	−	2.71014i	−0.0965189	−	0.144451i
$353$	9.89740			0.526786			0.263393	−	0.964689i	$-0.415158\pi$
$353$	9.89740			0.526786			0.263393	+	0.964689i	$0.415158\pi$
$354$	−7.49033	−	11.2101i	−0.398107	−	0.595809i
$355$	4.65397	+	11.0774i	0.247007	+	0.587929i
$356$			3.25991i			0.172775i
$357$	−12.9546	+	18.2320i	−0.685632	+	0.964942i
$358$	1.00100	−	1.00100i	0.0529044	−	0.0529044i
$359$	−4.61002	+	1.90953i	−0.243308	+	0.100781i	−0.501005	−	0.865444i	$-0.667036\pi$
$359$	−4.61002	+	1.90953i	−0.243308	+	0.100781i	0.257697	+	0.966226i	$0.417036\pi$
$360$	2.43092	+	0.470814i	0.128120	+	0.0248141i
$361$	−12.9570	+	12.9570i	−0.681948	+	0.681948i
$362$	2.71424	−	1.81360i	0.142657	−	0.0953205i
$363$	0.100906	+	0.507291i	0.00529622	+	0.0266259i
$364$	−3.65453	+	0.726932i	−0.191550	+	0.0381016i
$365$	−2.04029	−	4.85631i	−0.106794	−	0.254191i
$366$	4.13293	−	9.97778i	0.216032	−	0.521547i
$367$	−2.74754	−	1.83585i	−0.143421	−	0.0958306i	0.481790	−	0.876287i	$-0.339987\pi$
$367$	−2.74754	−	1.83585i	−0.143421	−	0.0958306i	−0.625210	+	0.780456i	$0.714987\pi$
$368$	−4.37386	+	0.870015i	−0.228003	+	0.0453526i
$369$	0.520551	−	2.61699i	0.0270988	−	0.136235i
$370$	14.8746	+	14.7254i	0.773292	+	0.765536i
$371$	19.5993	−	13.0959i	1.01755	−	0.679903i
$372$	0.493887	+	0.204575i	0.0256069	+	0.0106067i
$373$	9.99497	+	9.99497i	0.517520	+	0.517520i	0.916820	−	0.399300i	$-0.130747\pi$
$373$	9.99497	+	9.99497i	0.517520	+	0.517520i	−0.399300	+	0.916820i	$0.630747\pi$
$374$	−9.77180	+	9.22608i	−0.505288	+	0.477069i
$375$	−11.0394	−	10.7105i	−0.570071	−	0.553087i
$376$	0.470182	+	1.13512i	0.0242478	+	0.0585394i
$377$	−1.09067	+	5.48316i	−0.0561723	+	0.282397i
$378$		−	22.2803i		−	1.14597i
$379$	4.04548	+	0.804697i	0.207803	+	0.0413345i	0.297894	−	0.954599i	$-0.403716\pi$
$379$	4.04548	+	0.804697i	0.207803	+	0.0413345i	−0.0900913	+	0.995934i	$0.528716\pi$
$380$	1.53379	+	1.01370i	0.0786819	+	0.0520019i
$381$	2.46918	+	12.4134i	0.126500	+	0.635959i
$382$	−0.713824	−	1.72332i	−0.0365224	−	0.0881729i
$383$	−1.68212	−	4.06099i	−0.0859522	−	0.207507i	0.875059	−	0.484016i	$-0.160822\pi$
$383$	−1.68212	−	4.06099i	−0.0859522	−	0.207507i	−0.961011	+	0.276509i	$0.910822\pi$
$384$	0.268393	+	1.34931i	0.0136964	+	0.0688564i
$385$	−28.1570	+	5.74846i	−1.43501	+	0.292969i
$386$	−25.2783	−	5.02816i	−1.28663	−	0.255927i
$387$			12.3427i			0.627417i
$388$	−2.34396	+	11.7839i	−0.118997	+	0.598236i
$389$	−0.471930	−	1.13934i	−0.0239278	−	0.0577669i	0.911464	−	0.411380i	$-0.134953\pi$
$389$	−0.471930	−	1.13934i	−0.0239278	−	0.0577669i	−0.935392	+	0.353613i	$0.884953\pi$
$390$	−2.04522	+	2.06594i	−0.103564	+	0.104613i
$391$	6.54579	+	17.1826i	0.331035	+	0.868961i
$392$	6.04368	+	6.04368i	0.305252	+	0.305252i
$393$	−14.2985	−	5.92263i	−0.721264	−	0.298757i
$394$	8.22075	−	5.49293i	0.414156	−	0.276730i
$395$	−3.15021	+	3.18213i	−0.158504	+	0.160110i
$396$	0.704144	−	3.53997i	0.0353846	−	0.177890i
$397$	13.3570	−	2.65687i	0.670367	−	0.133344i	0.151839	−	0.988405i	$-0.451480\pi$
$397$	13.3570	−	2.65687i	0.670367	−	0.133344i	0.518527	+	0.855061i	$0.326480\pi$
$398$	19.3651	+	12.9393i	0.970682	+	0.648589i
$399$	1.70679	−	4.12056i	0.0854465	−	0.206286i
$400$	−1.86675	+	4.63845i	−0.0933377	+	0.231923i
$401$	−19.4025	+	3.85939i	−0.968912	+	0.192729i	−0.654086	−	0.756421i	$-0.726946\pi$
$401$	−19.4025	+	3.85939i	−0.968912	+	0.192729i	−0.314827	+	0.949149i	$0.601946\pi$
$402$	3.95959	+	19.9062i	0.197486	+	0.992832i
$403$	0.305321	−	0.204009i	0.0152091	−	0.0101624i
$404$	−12.9028	+	12.9028i	−0.641941	+	0.641941i
$405$	−5.57206	−	8.24886i	−0.276878	−	0.409889i
$406$	21.5508	−	8.92662i	1.06955	−	0.443020i
$407$	21.5738	−	21.5738i	1.06937	−	1.06937i
$408$	5.30071	−	2.01933i	0.262424	−	0.0999719i
$409$			22.6191i			1.11844i	0.829019	+	0.559221i	$0.188900\pi$
$409$			22.6191i			1.11844i	−0.829019	+	0.559221i	$0.811100\pi$
$410$	4.98824	+	2.03680i	0.246352	+	0.100590i
$411$	2.50576	+	3.75013i	0.123600	+	0.184980i
$412$	−4.09941			−0.201963
$413$	21.4679	+	32.1289i	1.05636	+	1.58096i
$414$	−4.10599	−	2.74354i	−0.201799	−	0.134838i
$415$	−16.7164	+	25.2929i	−0.820577	+	1.24158i
$416$	0.873070	+	0.361638i	0.0428058	+	0.0177307i
$417$	17.0922	−	7.07983i	0.837010	−	0.346701i
$418$	1.48890	−	2.22829i	0.0728243	−	0.108989i
$419$	8.97035	−	13.4251i	0.438230	−	0.655858i	−0.544956	−	0.838465i	$-0.683454\pi$
$419$	8.97035	−	13.4251i	0.438230	−	0.655858i	0.983186	+	0.182607i	$0.0584535\pi$
$420$	11.9083	+	2.30637i	0.581064	+	0.112539i
$421$	−5.41788	−	5.41788i	−0.264051	−	0.264051i	0.562646	−	0.826698i	$-0.309783\pi$
$421$	−5.41788	−	5.41788i	−0.264051	−	0.264051i	−0.826698	+	0.562646i	$0.809783\pi$
$422$	18.6719	+	3.71408i	0.908936	+	0.180799i
$423$	−0.520652	+	1.25697i	−0.0253150	+	0.0611158i
$424$	−5.97821			−0.290328
$425$	20.1409	+	4.39800i	0.976979	+	0.213334i
$426$	−7.39244			−0.358165
$427$	−11.8453	+	28.5971i	−0.573234	+	1.38391i
$428$	16.1141	+	3.20530i	0.778905	+	0.154934i
$429$	2.99640	+	2.99640i	0.144668	+	0.144668i
$430$	−24.4692	−	4.73913i	−1.18001	−	0.228541i
$431$	19.8538	−	29.7133i	0.956324	−	1.43124i	0.0548060	−	0.998497i	$-0.482546\pi$
$431$	19.8538	−	29.7133i	0.956324	−	1.43124i	0.901518	−	0.432742i	$-0.142454\pi$
$432$	−3.13932	+	4.69833i	−0.151041	+	0.226048i
$433$	−4.19272	+	1.73668i	−0.201489	+	0.0834596i	−0.481146	−	0.876640i	$-0.659779\pi$
$433$	−4.19272	+	1.73668i	−0.201489	+	0.0834596i	0.279657	+	0.960100i	$0.409779\pi$
$434$	−1.41552	−	0.586327i	−0.0679470	−	0.0281446i
$435$	10.0344	−	15.1826i	0.481110	−	0.727949i
$436$	−12.1128	−	8.09353i	−0.580099	−	0.387610i
$437$	−2.03709	−	3.04872i	−0.0974473	−	0.145840i
$438$	3.24083			0.154853
$439$	−5.15015	−	7.70775i	−0.245803	−	0.367871i	0.687968	−	0.725741i	$-0.258503\pi$
$439$	−5.15015	−	7.70775i	−0.245803	−	0.367871i	−0.933771	+	0.357870i	$0.883503\pi$
$440$	6.74754	+	2.75516i	0.321676	+	0.131347i
$441$			9.46449i			0.450690i
$442$	0.869556	−	3.79808i	0.0413606	−	0.180656i
$443$	8.21112	−	8.21112i	0.390122	−	0.390122i	−0.484609	−	0.874731i	$-0.661038\pi$
$443$	8.21112	−	8.21112i	0.390122	−	0.390122i	0.874731	+	0.484609i	$0.161038\pi$
$444$	−11.8973	+	4.92802i	−0.564620	+	0.233873i
$445$	−4.08026	−	6.04041i	−0.193423	−	0.286343i
$446$	3.96179	−	3.96179i	0.187596	−	0.187596i
$447$	23.9164	−	15.9804i	1.13121	−	0.755849i
$448$	−0.769236	−	3.86721i	−0.0363430	−	0.182709i
$449$	17.3971	−	3.46050i	0.821020	−	0.163311i	0.233330	−	0.972398i	$-0.425038\pi$
$449$	17.3971	−	3.46050i	0.821020	−	0.163311i	0.587690	+	0.809086i	$0.300038\pi$
$450$	−5.09363	+	2.17026i	−0.240116	+	0.102307i
$451$	3.00560	−	7.25616i	0.141528	−	0.341679i
$452$	−16.7971	−	11.2234i	−0.790068	−	0.527907i
$453$	3.00500	−	0.597731i	0.141187	−	0.0280839i
$454$	−1.14923	+	5.77757i	−0.0539360	+	0.271155i
$455$	5.86176	−	5.92115i	0.274803	−	0.277588i
$456$	−0.940510	+	0.628429i	−0.0440434	+	0.0294289i
$457$	26.6678	+	11.0462i	1.24747	+	0.516718i	0.906041	−	0.423191i	$-0.139090\pi$
$457$	26.6678	+	11.0462i	1.24747	+	0.516718i	0.341426	+	0.939909i	$0.389090\pi$
$458$	−2.63294	−	2.63294i	−0.123029	−	0.123029i
$459$	21.2598	+	9.53019i	0.992323	+	0.444831i
$460$	7.01553	−	7.08661i	0.327101	−	0.330415i
$461$	−14.6999	−	35.4887i	−0.684643	−	1.65287i	−0.755305	−	0.655374i	$-0.772511\pi$
$461$	−14.6999	−	35.4887i	−0.684643	−	1.65287i	0.0706616	−	0.997500i	$-0.477489\pi$
$462$	3.44938	−	17.3412i	0.160480	−	0.806785i
$463$			22.5414i			1.04759i	0.851845	+	0.523794i	$0.175484\pi$
$463$			22.5414i			1.04759i	−0.851845	+	0.523794i	$0.824516\pi$
$464$	−5.80226	−	1.15414i	−0.269363	−	0.0535797i
$465$	−1.17120	+	0.239109i	−0.0543130	+	0.0110884i
$466$	0.209931	+	1.05539i	0.00972485	+	0.0488901i
$467$	−7.19081	−	17.3601i	−0.332751	−	0.803332i	−0.998372	−	0.0570418i	$-0.981833\pi$
$467$	−7.19081	−	17.3601i	−0.332751	−	0.803332i	0.665621	−	0.746290i	$-0.268167\pi$
$468$	0.400456	+	0.966786i	0.0185111	+	0.0446897i
$469$	−11.3485	−	57.0527i	−0.524025	−	2.63445i
$470$	−2.29199	−	1.51481i	−0.105722	−	0.0698727i
$471$	−8.48639	−	1.68805i	−0.391032	−	0.0777812i
$472$		−	9.80000i		−	0.451081i
$473$	−7.08779	+	35.6327i	−0.325897	+	1.63839i
$474$	−1.05425	−	2.54520i	−0.0484235	−	0.116905i
$475$	−4.11082	+	0.0414411i	−0.188617	+	0.00190145i
$476$	−15.1922	+	5.78756i	−0.696335	+	0.265272i
$477$	−4.68099	−	4.68099i	−0.214328	−	0.214328i
$478$	−17.9435	−	7.43245i	−0.820717	−	0.339952i
$479$	17.9848	−	12.0170i	0.821744	−	0.549072i	−0.0721271	−	0.997395i	$-0.522979\pi$
$479$	17.9848	−	12.0170i	0.821744	−	0.549072i	0.893871	+	0.448323i	$0.147979\pi$
$480$	−2.18617	−	2.16424i	−0.0997846	−	0.0987838i
$481$	−1.72570	+	8.67569i	−0.0786853	+	0.395578i
$482$	−17.2239	+	3.42605i	−0.784528	+	0.156052i
$483$	−20.1140	−	13.4397i	−0.915216	−	0.611528i
$484$	−0.143875	+	0.347346i	−0.00653980	+	0.0157885i
$485$	−10.4061	−	24.7686i	−0.472515	−	1.12468i
$486$	−10.6194	+	2.11232i	−0.481704	+	0.0958169i
$487$	6.76329	+	34.0013i	0.306474	+	1.54075i	0.760249	+	0.649632i	$0.225077\pi$
$487$	6.76329	+	34.0013i	0.306474	+	1.54075i	−0.453775	+	0.891116i	$0.649923\pi$
$488$	6.52723	−	4.36135i	0.295474	−	0.197429i
$489$	7.12048	−	7.12048i	0.321999	−	0.321999i
$490$	−18.7631	−	3.63400i	−0.847631	−	0.164167i
$491$	−33.7150	+	13.9652i	−1.52154	+	0.630241i	−0.977899	−	0.209079i	$-0.932953\pi$
$491$	−33.7150	+	13.9652i	−1.52154	+	0.630241i	−0.543638	+	0.839320i	$0.682953\pi$
$492$	−2.34406	+	2.34406i	−0.105678	+	0.105678i
$493$	−0.700384	+	24.3820i	−0.0315437	+	1.09811i
$494$			0.776989i			0.0349584i
$495$	3.12606	+	7.44069i	0.140506	+	0.334434i
$496$	0.215881	+	0.323089i	0.00969336	+	0.0145071i
$497$	21.1873			0.950380
$498$	−10.3631	−	15.5094i	−0.464380	−	0.694994i
$499$	2.04314	+	1.36519i	0.0914637	+	0.0611141i	0.600461	−	0.799654i	$-0.294984\pi$
$499$	2.04314	+	1.36519i	0.0914637	+	0.0611141i	−0.508997	+	0.860768i	$0.669984\pi$
$500$	−2.34673	−	10.9313i	−0.104949	−	0.488862i
$501$	7.28849	+	3.01899i	0.325626	+	0.134879i
$502$	−1.00714	+	0.417171i	−0.0449509	+	0.0186193i
$503$	−1.70940	+	2.55831i	−0.0762186	+	0.114069i	−0.867620	−	0.497227i	$-0.834352\pi$
$503$	−1.70940	+	2.55831i	−0.0762186	+	0.114069i	0.791402	+	0.611296i	$0.209352\pi$
$504$	2.42574	−	3.63038i	0.108051	−	0.161710i
$505$	7.75835	−	40.0580i	0.345242	−	1.78256i
$506$	−10.2783	−	10.2783i	−0.456925	−	0.456925i
$507$	16.3360	+	3.24943i	0.725507	+	0.144312i
$508$	−3.52064	+	8.49957i	−0.156203	+	0.377107i
$509$	−30.8738			−1.36846			−0.684229	−	0.729268i	$-0.739861\pi$
$509$	−30.8738			−1.36846			−0.684229	+	0.729268i	$0.739861\pi$
$510$	−7.29439	+	10.3763i	−0.323001	+	0.459471i
$511$	−9.28845			−0.410897
$512$	−0.382683	+	0.923880i	−0.0169124	+	0.0408301i
$513$	−4.55671	−	0.906386i	−0.201184	−	0.0400179i
$514$	6.52316	+	6.52316i	0.287724	+	0.287724i
$515$	7.59595	−	5.13102i	0.334718	−	0.226100i
$516$	8.51933	−	12.7501i	0.375043	−	0.561291i
$517$	−2.22490	+	3.32980i	−0.0978510	+	0.146444i
$518$	34.0985	−	14.1241i	1.49820	−	0.620576i
$519$	16.2095	+	6.71419i	0.711517	+	0.294720i
$520$	−2.07039	+	0.422685i	−0.0907925	+	0.0185360i
$521$	−23.4855	−	15.6925i	−1.02892	−	0.687501i	−0.0780034	−	0.996953i	$-0.524855\pi$
$521$	−23.4855	−	15.6925i	−1.02892	−	0.687501i	−0.950915	+	0.309452i	$0.899855\pi$
$522$	−3.63951	−	5.44692i	−0.159297	−	0.238405i
$523$	22.2512			0.972976			0.486488	−	0.873687i	$-0.338278\pi$
$523$	22.2512			0.972976			0.486488	+	0.873687i	$0.338278\pi$
$524$	−6.24997	−	9.35374i	−0.273031	−	0.408620i
$525$	−24.9520	+	10.6314i	−1.08900	+	0.463993i
$526$		−	3.45928i		−	0.150832i
$527$	1.16495	−	1.09989i	0.0507459	−	0.0479119i
$528$	−3.17078	+	3.17078i	−0.137990	+	0.137990i
$529$	2.87552	−	1.19108i	0.125022	−	0.0517860i
$530$	11.0773	−	7.48262i	0.481165	−	0.325024i
$531$	7.67347	−	7.67347i	0.333000	−	0.333000i
$532$	2.69557	−	1.80112i	0.116868	−	0.0780886i
$533$	0.444239	+	2.23334i	0.0192421	+	0.0967366i
$534$	4.39862	−	0.874939i	0.190347	−	0.0378623i
$535$	−33.8704	+	14.2300i	−1.46434	+	0.615216i
$536$	−5.64570	+	13.6299i	−0.243857	+	0.588724i
$537$	−1.61931	−	1.08199i	−0.0698785	−	0.0466913i
$538$	−18.2849	+	3.63710i	−0.788319	+	0.156806i
$539$	−5.43496	+	27.3234i	−0.234100	+	1.17690i
$540$	−0.0636851	−	12.6350i	−0.00274057	−	0.543725i
$541$	14.8295	−	9.90877i	0.637571	−	0.426011i	−0.194329	−	0.980936i	$-0.562253\pi$
$541$	14.8295	−	9.90877i	0.637571	−	0.426011i	0.831900	+	0.554925i	$0.187253\pi$
$542$	−5.55232	−	2.29984i	−0.238492	−	0.0987868i
$543$	−3.17558	−	3.17558i	−0.136277	−	0.136277i
$544$	4.01912	+	0.920161i	0.172318	+	0.0394516i
$545$	32.5745	−	0.164187i	1.39534	−	0.00703301i
$546$	1.96171	+	4.73598i	0.0839532	+	0.202681i
$547$	6.88590	−	34.6177i	0.294420	−	1.48015i	−0.496397	−	0.868095i	$-0.665344\pi$
$547$	6.88590	−	34.6177i	0.294420	−	1.48015i	0.790817	−	0.612053i	$-0.209656\pi$
$548$			3.27841i			0.140047i
$549$	8.52585	+	1.69590i	0.363874	+	0.0723791i
$550$	−15.9513	+	3.34040i	−0.680164	+	0.142435i
$551$	−0.948942	−	4.77065i	−0.0404263	−	0.203237i
$552$	2.34783	+	5.66816i	0.0999303	+	0.241253i
$553$	3.02157	+	7.29473i	0.128490	+	0.310203i
$554$	1.06738	+	5.36609i	0.0453487	+	0.227983i
$555$	15.8768	−	24.0225i	0.673932	−	1.01970i
$556$	13.1893	+	2.62351i	0.559350	+	0.111262i
$557$		−	20.1118i		−	0.852165i	−0.904684	−	0.426083i	$-0.859893\pi$
$557$		−	20.1118i		−	0.852165i	0.904684	−	0.426083i	$-0.140107\pi$
$558$	−0.0839447	+	0.422018i	−0.00355366	+	0.0178655i
$559$	−4.03092	−	9.73150i	−0.170490	−	0.411599i
$560$	6.26573	+	6.20289i	0.264776	+	0.262120i
$561$	15.0715	+	10.7089i	0.636318	+	0.452131i
$562$	5.34213	+	5.34213i	0.225344	+	0.225344i
$563$	−37.9073	−	15.7017i	−1.59760	−	0.661749i	−0.606529	−	0.795061i	$-0.707439\pi$
$563$	−37.9073	−	15.7017i	−1.59760	−	0.661749i	−0.991074	+	0.133312i	$0.957439\pi$
$564$	1.40543	−	0.939079i	0.0591793	−	0.0395423i
$565$	45.1717	−	0.227682i	1.90039	−	0.00957864i
$566$	−3.52244	+	17.7085i	−0.148059	+	0.744343i
$567$	−17.2160	+	3.42447i	−0.723002	+	0.143814i
$568$	−4.46784	−	2.98532i	−0.187467	−	0.125261i
$569$	−1.48104	+	3.57556i	−0.0620886	+	0.149895i	−0.951879	−	0.306475i	$-0.900851\pi$
$569$	−1.48104	+	3.57556i	−0.0620886	+	0.149895i	0.889790	+	0.456370i	$0.150851\pi$
$570$	0.956134	−	2.34163i	0.0400481	−	0.0980799i
$571$	−18.3383	+	3.64772i	−0.767434	+	0.152652i	−0.563257	−	0.826282i	$-0.690452\pi$
$571$	−18.3383	+	3.64772i	−0.767434	+	0.152652i	−0.204177	+	0.978934i	$0.565452\pi$
$572$	0.600917	+	3.02101i	0.0251256	+	0.126315i
$573$	−2.13370	+	1.42569i	−0.0891367	+	0.0595592i
$574$	6.71824	−	6.71824i	0.280414	−	0.280414i
$575$	−4.12940	+	21.9120i	−0.172208	+	0.913795i
$576$	−1.02305	+	0.423761i	−0.0426271	+	0.0176567i
$577$	−27.3964	+	27.3964i	−1.14053	+	1.14053i	−0.152175	+	0.988354i	$0.548628\pi$
$577$	−27.3964	+	27.3964i	−1.14053	+	1.14053i	−0.988354	+	0.152175i	$0.951372\pi$
$578$	0.975862	−	16.9720i	0.0405905	−	0.705941i
$579$			35.4576i			1.47357i
$580$	12.1958	−	5.12384i	0.506403	−	0.212756i
$581$	29.7013	+	44.4512i	1.23222	+	1.84415i
$582$	16.5292			0.685156
$583$	−10.8257	−	16.2018i	−0.448354	−	0.671009i
$584$	1.95869	+	1.30876i	0.0810512	+	0.0541567i
$585$	−1.95210	−	1.29016i	−0.0807092	−	0.0533417i
$586$	−12.8114	−	5.30666i	−0.529234	−	0.219216i
$587$	20.1295	−	8.33790i	0.830833	−	0.344142i	0.0736004	−	0.997288i	$-0.476551\pi$
$587$	20.1295	−	8.33790i	0.830833	−	0.344142i	0.757232	+	0.653146i	$0.226551\pi$
$588$	6.53268	−	9.77685i	0.269403	−	0.403190i
$589$	−0.177499	+	0.265646i	−0.00731372	+	0.0109458i
$590$	12.2661	+	18.1588i	0.504989	+	0.747585i
$591$	−9.61804	−	9.61804i	−0.395633	−	0.395633i
$592$	−9.18058	−	1.82613i	−0.377320	−	0.0750536i
$593$	−9.69878	+	23.4149i	−0.398281	+	0.961535i	0.589793	+	0.807555i	$0.299209\pi$
$593$	−9.69878	+	23.4149i	−0.398281	+	0.961535i	−0.988074	+	0.153981i	$0.950791\pi$
$594$	−18.4180			−0.755698
$595$	20.9063	−	29.7393i	0.857073	−	1.21919i
$596$	20.9081			0.856427
$597$	12.2616	−	29.6022i	0.501835	−	1.21154i
$598$	4.13332	+	0.822168i	0.169024	+	0.0336209i
$599$	−13.8221	−	13.8221i	−0.564757	−	0.564757i	0.365898	−	0.930655i	$-0.380762\pi$
$599$	−13.8221	−	13.8221i	−0.564757	−	0.564757i	−0.930655	+	0.365898i	$0.880762\pi$
$600$	6.75971	+	1.27389i	0.275964	+	0.0520064i
$601$	−15.0112	+	22.4659i	−0.612321	+	0.916403i	−0.999985	−	0.00539740i	$-0.998282\pi$
$601$	−15.0112	+	22.4659i	−0.612321	+	0.916403i	0.387664	+	0.921801i	$0.373282\pi$
$602$	−24.4171	+	36.5427i	−0.995165	+	1.48937i
$603$	−15.0930	+	6.25172i	−0.614634	+	0.254590i
$604$	2.05755	+	0.852263i	0.0837203	+	0.0346781i
$605$	−0.168163	−	0.823692i	−0.00683679	−	0.0334878i
$606$	20.8729	+	13.9468i	0.847905	+	0.566552i
$607$	13.8935	+	20.7931i	0.563920	+	0.843965i	0.998390	−	0.0567208i	$-0.0180645\pi$
$607$	13.8935	+	20.7931i	0.563920	+	0.843965i	−0.434470	+	0.900686i	$0.643064\pi$
$608$	−0.822206			−0.0333449
$609$	−17.8288	−	26.6827i	−0.722460	−	1.08124i
$610$	−6.63566	+	16.2511i	−0.268670	+	0.657988i
$611$		−	1.16108i		−	0.0469721i
$612$	2.42651	+	3.86749i	0.0980858	+	0.156334i
$613$	20.2326	−	20.2326i	0.817186	−	0.817186i	−0.168513	−	0.985699i	$-0.553897\pi$
$613$	20.2326	−	20.2326i	0.817186	−	0.817186i	0.985699	+	0.168513i	$0.0538965\pi$
$614$	−5.65332	+	2.34168i	−0.228149	+	0.0945026i
$615$	1.40946	−	7.27732i	0.0568347	−	0.293450i
$616$	9.08769	−	9.08769i	0.366154	−	0.366154i
$617$	−37.5826	+	25.1119i	−1.51302	+	1.01097i	−0.525977	+	0.850499i	$0.676300\pi$
$617$	−37.5826	+	25.1119i	−1.51302	+	1.01097i	−0.987041	+	0.160467i	$0.948700\pi$
$618$	1.10025	+	5.53136i	0.0442587	+	0.222504i
$619$	17.0656	−	3.39456i	0.685924	−	0.136439i	0.160188	−	0.987086i	$-0.448790\pi$
$619$	17.0656	−	3.39456i	0.685924	−	0.136439i	0.525736	+	0.850648i	$0.323790\pi$
$620$	−0.804409	−	0.328457i	−0.0323058	−	0.0131911i
$621$	−9.64334	+	23.2811i	−0.386974	+	0.934237i
$622$	10.3995	+	6.94869i	0.416980	+	0.278617i
$623$	−12.6068	+	2.50764i	−0.505080	+	0.100467i
$624$	0.253633	−	1.27510i	0.0101534	−	0.0510448i
$625$	18.0305	+	17.3177i	0.721218	+	0.692708i
$626$	−11.7310	+	7.83841i	−0.468866	+	0.313286i
$627$	−3.40625	−	1.41092i	−0.136033	−	0.0563466i
$628$	−4.44732	−	4.44732i	−0.177467	−	0.177467i
$629$	−1.10818	+	38.5782i	−0.0441860	+	1.53821i
$630$	0.0492092	+	9.76303i	0.00196054	+	0.388968i
$631$	6.60019	+	15.9343i	0.262749	+	0.634333i	0.999107	−	0.0422599i	$-0.0134558\pi$
$631$	6.60019	+	15.9343i	0.262749	+	0.634333i	−0.736357	+	0.676593i	$0.763456\pi$
$632$	0.390666	−	1.96401i	0.0155399	−	0.0781241i
$633$		−	26.1910i		−	1.04100i
$634$	20.5549	+	4.08862i	0.816338	+	0.162380i
$635$	−4.11495	−	20.1558i	−0.163297	−	0.799857i
$636$	1.60451	+	8.06643i	0.0636231	+	0.319855i
$637$	−3.09093	−	7.46217i	−0.122467	−	0.295662i
$638$	−7.37917	−	17.8149i	−0.292144	−	0.705298i
$639$	−1.16083	−	5.83588i	−0.0459217	−	0.230864i
$640$	−0.447284	−	2.19088i	−0.0176804	−	0.0866020i
$641$	10.2922	+	2.04724i	0.406517	+	0.0808612i	0.394113	−	0.919062i	$-0.371052\pi$
$641$	10.2922	+	2.04724i	0.406517	+	0.0808612i	0.0124034	+	0.999923i	$0.496052\pi$
$642$		−	22.6031i		−	0.892075i
$643$	4.53043	−	22.7760i	0.178663	−	0.898198i	−0.782592	−	0.622535i	$-0.786103\pi$
$643$	4.53043	−	22.7760i	0.178663	−	0.898198i	0.961254	−	0.275663i	$-0.0888973\pi$
$644$	−6.72906	−	16.2454i	−0.265162	−	0.640158i
$645$	0.172825	+	34.2883i	0.00680499	+	1.35010i
$646$	0.565622	+	3.34252i	0.0222541	+	0.131510i
$647$	−4.94294	−	4.94294i	−0.194327	−	0.194327i	0.603236	−	0.797563i	$-0.293878\pi$
$647$	−4.94294	−	4.94294i	−0.194327	−	0.194327i	−0.797563	+	0.603236i	$0.793878\pi$
$648$	4.11290	+	1.70362i	0.161570	+	0.0669245i
$649$	26.5593	−	17.7464i	1.04254	−	0.696606i
$650$	3.30725	−	3.37461i	0.129721	−	0.132363i
$651$	−0.411218	+	2.06733i	−0.0161169	+	0.0810251i
$652$	7.17897	−	1.42799i	0.281150	−	0.0559243i
$653$	−2.10886	−	1.40909i	−0.0825260	−	0.0551421i	0.513623	−	0.858016i	$-0.328303\pi$
$653$	−2.10886	−	1.40909i	−0.0825260	−	0.0551421i	−0.596149	+	0.802874i	$0.703303\pi$
$654$	−7.66963	+	18.5161i	−0.299906	+	0.724038i
$655$	23.2884	+	9.50913i	0.909953	+	0.371553i
$656$	−2.36331	+	0.470091i	−0.0922717	+	0.0183540i
$657$	0.508905	+	2.55844i	0.0198543	+	0.0998141i
$658$	−4.02807	+	2.69147i	−0.157031	+	0.104924i
$659$	−17.6548	+	17.6548i	−0.687733	+	0.687733i	−0.961730	−	0.273997i	$-0.911654\pi$
$659$	−17.6548	+	17.6548i	−0.687733	+	0.687733i	0.273997	+	0.961730i	$0.411654\pi$
$660$	1.90656	−	9.84395i	0.0742126	−	0.383175i
$661$	25.1507	−	10.4178i	0.978250	−	0.405204i	0.164473	−	0.986382i	$-0.447408\pi$
$661$	25.1507	−	10.4178i	0.978250	−	0.405204i	0.813777	+	0.581177i	$0.197408\pi$
$662$	8.24817	−	8.24817i	0.320574	−	0.320574i
$663$	−5.35816	−	0.153916i	−0.208094	−	0.00597760i
$664$		−	13.5585i		−	0.526174i
$665$	−2.74035	+	6.71128i	−0.106266	+	0.260252i
$666$	−5.75860	−	8.61835i	−0.223141	−	0.333954i
$667$	−26.3824			−1.02153
$668$	3.18585	+	4.76796i	0.123264	+	0.184478i
$669$	−6.40898	−	4.28234i	−0.247785	−	0.165565i
$670$	−6.59875	−	32.3219i	−0.254932	−	1.24870i
$671$	23.6397	+	9.79190i	0.912602	+	0.378012i
$672$	−5.01159	+	2.07587i	−0.193326	+	0.0800784i
$673$	13.9206	−	20.8337i	0.536600	−	0.803079i	−0.459785	−	0.888030i	$-0.652074\pi$
$673$	13.9206	−	20.8337i	0.536600	−	0.803079i	0.996385	+	0.0849515i	$0.0270735\pi$
$674$	16.7997	−	25.1426i	0.647101	−	0.968455i
$675$	15.9326	+	23.3322i	0.613247	+	0.898057i
$676$	8.56092	+	8.56092i	0.329266	+	0.329266i
$677$	13.1199	+	2.60972i	0.504240	+	0.100300i	0.440655	−	0.897677i	$-0.354746\pi$
$677$	13.1199	+	2.60972i	0.504240	+	0.100300i	0.0635857	+	0.997976i	$0.479746\pi$
$678$	−10.6356	+	25.6767i	−0.408459	+	0.986107i
$679$	−47.3738			−1.81804
$680$	−8.59889	+	3.32552i	−0.329752	+	0.127528i
$681$	8.10415			0.310552
$682$	−0.484686	+	1.17014i	−0.0185596	+	0.0448068i
$683$	5.25475	+	1.04523i	0.201067	+	0.0399948i	0.294596	−	0.955622i	$-0.404815\pi$
$683$	5.25475	+	1.04523i	0.201067	+	0.0399948i	−0.0935290	+	0.995617i	$0.529815\pi$
$684$	−0.643794	−	0.643794i	−0.0246161	−	0.0246161i
$685$	−4.10342	−	6.07470i	−0.156784	−	0.232102i
$686$	−3.38896	+	5.07194i	−0.129391	+	0.193648i
$687$	−2.84597	+	4.25930i	−0.108581	+	0.162502i
$688$	10.2978	−	4.26550i	0.392601	−	0.162621i
$689$	5.21940	+	2.16195i	0.198843	+	0.0823636i
$690$	−11.4449	−	7.56410i	−0.435701	−	0.287960i
$691$	39.7134	+	26.5357i	1.51077	+	1.00946i	0.987557	+	0.157262i	$0.0502667\pi$
$691$	39.7134	+	26.5357i	1.51077	+	1.00946i	0.523213	+	0.852202i	$0.324733\pi$
$692$	7.08527	+	10.6039i	0.269342	+	0.403098i
$693$	14.2315			0.540609
$694$	15.1027	+	22.6029i	0.573292	+	0.857992i
$695$	−27.7226	+	11.6471i	−1.05158	+	0.441801i
$696$			8.13878i			0.308500i
$697$	3.53686	+	9.28419i	0.133968	+	0.351664i
$698$	−13.0867	+	13.0867i	−0.495340	+	0.495340i
$699$	1.36770	−	0.566521i	0.0517313	−	0.0214278i
$700$	−19.3738	−	3.65107i	−0.732263	−	0.137997i
$701$	−14.9020	+	14.9020i	−0.562841	+	0.562841i	−0.930113	−	0.367273i	$-0.880292\pi$
$701$	−14.9020	+	14.9020i	−0.562841	+	0.562841i	0.367273	+	0.930113i	$0.380292\pi$
$702$	4.43994	−	2.96667i	0.167575	−	0.111970i
$703$	−1.50146	−	7.54833i	−0.0566285	−	0.284691i
$704$	−3.19682	+	0.635888i	−0.120485	+	0.0239659i
$705$	−1.42878	+	3.49916i	−0.0538109	+	0.131786i
$706$	3.78757	−	9.14401i	0.142547	−	0.344139i
$707$	−59.8234	−	39.9727i	−2.24989	−	1.50333i
$708$	−13.2232	+	2.63025i	−0.496958	+	0.0988510i
$709$	−1.82623	+	9.18109i	−0.0685856	+	0.344803i	−0.999807	−	0.0196511i	$-0.993744\pi$
$709$	−1.82623	+	9.18109i	−0.0685856	+	0.344803i	0.931221	+	0.364454i	$0.118744\pi$
$710$	12.0152	−	0.0605609i	0.450922	−	0.00227281i
$711$	1.84373	−	1.23194i	0.0691453	−	0.0462014i
$712$	3.01177	+	1.24751i	0.112871	+	0.0467526i
$713$	1.22533	+	1.22533i	0.0458888	+	0.0458888i
$714$	11.8867	+	18.9456i	0.444848	+	0.709022i
$715$	−4.89471	−	4.84561i	−0.183052	−	0.181216i
$716$	−0.541736	−	1.30787i	−0.0202456	−	0.0488773i
$717$	−5.21272	+	26.2061i	−0.194673	+	0.978685i
$718$			4.98985i			0.186220i
$719$	3.60024	+	0.716133i	0.134266	+	0.0267072i	0.261766	−	0.965131i	$-0.415695\pi$
$719$	3.60024	+	0.716133i	0.134266	+	0.0267072i	−0.127500	+	0.991839i	$0.540695\pi$
$720$	1.36525	−	2.06570i	0.0508797	−	0.0769841i
$721$	−3.15341	−	15.8533i	−0.117439	−	0.590407i
$722$	7.01228	+	16.9291i	0.260970	+	0.630038i
$723$	9.24558	+	22.3208i	0.343847	+	0.830119i
$724$	−0.636850	−	3.20166i	−0.0236684	−	0.118989i
$725$	−16.1848	+	24.7590i	−0.601089	+	0.919526i
$726$	0.507291	+	0.100906i	0.0188273	+	0.00374499i
$727$		−	42.5896i		−	1.57956i	−0.613389	−	0.789781i	$-0.710194\pi$
$727$		−	42.5896i		−	1.57956i	0.613389	−	0.789781i	$-0.289806\pi$
$728$	−0.726932	+	3.65453i	−0.0269419	+	0.135446i
$729$	10.8112	+	26.1005i	0.400415	+	0.966687i
$730$	−5.26743	+	0.0265497i	−0.194956	+	0.000982650i
$731$	−24.4248	−	38.9295i	−0.903384	−	1.43986i
$732$	−7.63666	−	7.63666i	−0.282259	−	0.282259i
$733$	15.7034	+	6.50454i	0.580017	+	0.240251i	0.653349	−	0.757057i	$-0.273363\pi$
$733$	15.7034	+	6.50454i	0.580017	+	0.240251i	−0.0733324	+	0.997308i	$0.523363\pi$
$734$	−2.74754	+	1.83585i	−0.101414	+	0.0677625i
$735$	0.132524	+	26.2925i	0.00488821	+	0.969813i
$736$	−0.870015	+	4.37386i	−0.0320692	+	0.161223i
$737$	−47.1625	+	9.38121i	−1.73725	+	0.345561i
$738$	−2.21858	−	1.48240i	−0.0816669	−	0.0545681i
$739$	18.3289	−	44.2498i	0.674238	−	1.62775i	−0.100096	−	0.994978i	$-0.531915\pi$
$739$	18.3289	−	44.2498i	0.674238	−	1.62775i	0.774334	−	0.632777i	$-0.218085\pi$
$740$	19.2967	−	8.10715i	0.709362	−	0.298025i
$741$	1.04839	−	0.208539i	0.0385137	−	0.00766086i
$742$	−4.59866	−	23.1190i	−0.168822	−	0.848725i
$743$	29.2006	−	19.5112i	1.07127	−	0.715798i	0.110702	−	0.993854i	$-0.464690\pi$
$743$	29.2006	−	19.5112i	1.07127	−	0.715798i	0.960565	+	0.278056i	$0.0896901\pi$
$744$	0.378005	−	0.378005i	0.0138583	−	0.0138583i
$745$	−38.7413	+	26.1695i	−1.41937	+	0.958777i
$746$	13.0591	−	5.40924i	0.478126	−	0.198046i
$747$	10.6165	−	10.6165i	0.388436	−	0.388436i
$748$	4.78428	+	12.5586i	0.174931	+	0.459189i
$749$			64.7823i			2.36709i
$750$	−14.1198	+	6.10034i	−0.515582	+	0.222753i
$751$	−5.20645	−	7.79200i	−0.189986	−	0.284334i	0.724232	−	0.689556i	$-0.242194\pi$
$751$	−5.20645	−	7.79200i	−0.189986	−	0.284334i	−0.914218	+	0.405222i	$0.867194\pi$
$752$	1.22865			0.0448041
$753$	0.833202	+	1.24697i	0.0303636	+	0.0454423i
$754$	4.64840	+	3.10596i	0.169285	+	0.113112i
$755$	−4.87924	+	0.996132i	−0.177574	+	0.0362530i
$756$	−20.5843	−	8.52630i	−0.748644	−	0.310099i
$757$	9.20428	−	3.81254i	0.334535	−	0.138569i	−0.209092	−	0.977896i	$-0.567051\pi$
$757$	9.20428	−	3.81254i	0.334535	−	0.138569i	0.543627	+	0.839327i	$0.317051\pi$
$758$	2.29158	−	3.42960i	0.0832340	−	0.124569i
$759$	−11.1099	+	16.6272i	−0.403264	+	0.603528i
$760$	1.52350	−	1.02911i	0.0552630	−	0.0373298i
$761$	−15.1625	−	15.1625i	−0.549641	−	0.549641i	0.376696	−	0.926337i	$-0.377060\pi$
$761$	−15.1625	−	15.1625i	−0.549641	−	0.549641i	−0.926337	+	0.376696i	$0.877060\pi$
$762$	12.4134	+	2.46918i	0.449691	+	0.0894491i
$763$	21.9818	−	53.0687i	0.795793	−	1.92121i
$764$	−1.86531			−0.0674846
$765$	−9.33691	−	4.12909i	−0.337577	−	0.149288i
$766$	−4.39559			−0.158819
$767$	−3.54405	+	8.55609i	−0.127968	+	0.308942i
$768$	1.34931	+	0.268393i	0.0486889	+	0.00968482i
$769$	−26.6938	−	26.6938i	−0.962605	−	0.962605i	0.0367208	−	0.999326i	$-0.488309\pi$
$769$	−26.6938	−	26.6938i	−0.962605	−	0.962605i	−0.999326	+	0.0367208i	$0.988309\pi$
$770$	−5.46433	+	28.2135i	−0.196921	+	1.01674i
$771$	7.05096	−	10.5525i	0.253934	−	0.380039i
$772$	−14.3190	+	21.4299i	−0.515352	+	0.771279i
$773$	26.1979	−	10.8515i	0.942272	−	0.390302i	0.141951	−	0.989874i	$-0.454662\pi$
$773$	26.1979	−	10.8515i	0.942272	−	0.390302i	0.800321	+	0.599572i	$0.204662\pi$
$774$	11.4032	+	4.72336i	0.409880	+	0.169778i
$775$	1.90163	−	0.398227i	0.0683086	−	0.0143047i
$776$	9.98989	+	6.67503i	0.358616	+	0.239620i
$777$	−28.2095	−	42.2185i	−1.01201	−	1.51458i
$778$	−1.23321			−0.0442129
$779$	−1.10069	−	1.64730i	−0.0394364	−	0.0590208i
$780$	1.12601	+	2.68014i	0.0403176	+	0.0959644i
$781$		−	17.5144i		−	0.626716i
$782$	18.3796	+	0.527964i	0.657253	+	0.0188799i
$783$	−23.6377	+	23.6377i	−0.844742	+	0.844742i
$784$	7.89644	−	3.27081i	0.282016	−	0.116815i
$785$	13.8071	+	2.67412i	0.492796	+	0.0954436i
$786$	−10.9436	+	10.9436i	−0.390345	+	0.390345i
$787$	−1.31483	+	0.878543i	−0.0468687	+	0.0313167i	−0.578784	−	0.815481i	$-0.696473\pi$
$787$	−1.31483	+	0.878543i	−0.0468687	+	0.0313167i	0.531915	+	0.846798i	$0.321473\pi$
$788$	−1.92886	−	9.69704i	−0.0687128	−	0.345443i
$789$	−4.66763	+	0.928449i	−0.166172	+	0.0330537i
$790$	1.73437	+	4.12816i	0.0617061	+	0.146873i
$791$	30.4825	−	73.5913i	1.08383	−	2.61661i
$792$	−3.00104	−	2.00523i	−0.106637	−	0.0712529i
$793$	−7.27596	+	1.44728i	−0.258377	+	0.0513944i
$794$	2.65687	−	13.3570i	0.0942886	−	0.474021i
$795$	−13.0694	−	12.9383i	−0.463524	−	0.458874i
$796$	19.3651	−	12.9393i	0.686376	−	0.458622i
$797$	17.3857	+	7.20139i	0.615833	+	0.255086i	0.668720	−	0.743514i	$-0.266842\pi$
$797$	17.3857	+	7.20139i	0.615833	+	0.255086i	−0.0528872	+	0.998600i	$0.516842\pi$
$798$	−3.15374	−	3.15374i	−0.111641	−	0.111641i
$799$	−0.845225	−	4.99483i	−0.0299019	−	0.176704i
$800$	3.57099	+	3.49971i	0.126254	+	0.123734i
$801$	1.38142	+	3.33505i	0.0488102	+	0.117838i
$802$	−3.85939	+	19.4025i	−0.136280	+	0.685124i
$803$			7.67828i			0.270961i
$804$	19.9062	+	3.95959i	0.702038	+	0.139644i
$805$	32.8020	+	21.6793i	1.15612	+	0.764094i
$806$	−0.0716384	−	0.360150i	−0.00252335	−	0.0126858i
$807$	9.81511	+	23.6958i	0.345508	+	0.834131i
$808$	6.98297	+	16.8584i	0.245660	+	0.593076i
$809$	5.00152	+	25.1443i	0.175844	+	0.884028i	0.963458	+	0.267859i	$0.0863162\pi$
$809$	5.00152	+	25.1443i	0.175844	+	0.884028i	−0.787614	+	0.616169i	$0.788684\pi$
$810$	−9.75329	+	1.99121i	−0.342696	+	0.0699638i
$811$	−32.1100	−	6.38709i	−1.12754	−	0.224281i	−0.404129	−	0.914702i	$-0.632425\pi$
$811$	−32.1100	−	6.38709i	−1.12754	−	0.224281i	−0.723408	+	0.690421i	$0.757425\pi$
$812$		−	23.3264i		−	0.818595i
$813$	−1.61299	+	8.10903i	−0.0565699	+	0.284396i
$814$	−11.6756	−	28.1875i	−0.409231	−	0.987971i
$815$	−11.5148	+	11.6315i	−0.403348	+	0.407434i
$816$	0.162873	−	5.66998i	0.00570170	−	0.198489i
$817$	6.48032	+	6.48032i	0.226718	+	0.226718i
$818$	20.8973	+	8.65595i	0.730658	+	0.302648i
$819$	−3.43072	+	2.29233i	−0.119879	+	0.0801007i
$820$	3.79067	−	3.82908i	0.132376	−	0.133717i
$821$	−2.37800	+	11.9550i	−0.0829927	+	0.417233i	0.916845	+	0.399242i	$0.130727\pi$
$821$	−2.37800	+	11.9550i	−0.0829927	+	0.417233i	−0.999838	+	0.0179902i	$0.994273\pi$
$822$	4.42358	−	0.879905i	0.154290	−	0.0306902i
$823$	−1.29911	−	0.868039i	−0.0452842	−	0.0302580i	0.532722	−	0.846290i	$-0.321169\pi$
$823$	−1.29911	−	0.868039i	−0.0452842	−	0.0302580i	−0.578006	+	0.816032i	$0.696169\pi$
$824$	−1.56878	+	3.78736i	−0.0546509	+	0.131939i
$825$	8.78844	+	20.6266i	0.305974	+	0.718125i
$826$	37.8987	−	7.53851i	1.31866	−	0.262298i
$827$	−0.189884	−	0.954611i	−0.00660291	−	0.0331951i	0.977343	−	0.211660i	$-0.0678869\pi$
$827$	−0.189884	−	0.954611i	−0.00660291	−	0.0331951i	−0.983946	+	0.178465i	$0.942887\pi$
$828$	−4.10599	+	2.74354i	−0.142693	+	0.0953445i
$829$	−7.13903	+	7.13903i	−0.247949	+	0.247949i	−0.820128	−	0.572180i	$-0.806098\pi$
$829$	−7.13903	+	7.13903i	−0.247949	+	0.247949i	0.572180	+	0.820128i	$0.306098\pi$
$830$	16.9705	+	25.1231i	0.589056	+	0.872037i
$831$	6.95401	−	2.88045i	0.241232	−	0.0999216i
$832$	0.668219	−	0.668219i	0.0231663	−	0.0231663i
$833$	−18.7291	−	29.8514i	−0.648924	−	1.03429i
$834$		−	18.5005i		−	0.640620i
$835$	−11.8710	−	4.84717i	−0.410812	−	0.167743i
$836$	−1.48890	−	2.22829i	−0.0514946	−	0.0770670i
$837$	2.19570			0.0758945
$838$	−8.97035	−	13.4251i	−0.309876	−	0.463762i
$839$	−40.2985	−	26.9266i	−1.39126	−	0.929610i	−0.999956	−	0.00934756i	$-0.997025\pi$
$839$	−40.2985	−	26.9266i	−1.39126	−	0.929610i	−0.391303	−	0.920262i	$-0.627975\pi$
$840$	6.68791	−	10.1192i	0.230755	−	0.349146i
$841$	−5.54166	−	2.29543i	−0.191092	−	0.0791528i
$842$	−7.07880	+	2.93213i	−0.243952	+	0.101048i
$843$	5.77437	−	8.64195i	0.198880	−	0.297645i
$844$	10.5768	−	15.8293i	0.364069	−	0.544867i
$845$	−26.5781	−	5.14759i	−0.914314	−	0.177082i
$846$	0.962040	+	0.962040i	0.0330756	+	0.0330756i
$847$	−1.45394	−	0.289206i	−0.0499578	−	0.00993723i
$848$	−2.28776	+	5.52315i	−0.0785621	+	0.189666i
$849$	24.8395			0.852491
$850$	11.7708	−	16.9248i	0.403736	−	0.580515i
$851$	−41.7433			−1.43094
$852$	−2.82896	+	6.82972i	−0.0969187	+	0.233982i
$853$	−14.7987	−	2.94365i	−0.506699	−	0.100789i	−0.0648802	−	0.997893i	$-0.520667\pi$
$853$	−14.7987	−	2.94365i	−0.506699	−	0.100789i	−0.441819	+	0.897104i	$0.645667\pi$
$854$	21.8873	+	21.8873i	0.748967	+	0.748967i
$855$	1.99871	+	0.387106i	0.0683546	+	0.0132388i
$856$	9.12791	−	13.6609i	0.311986	−	0.466920i
$857$	27.5389	−	41.2149i	0.940712	−	1.40787i	0.0278473	−	0.999612i	$-0.491135\pi$
$857$	27.5389	−	41.2149i	0.940712	−	1.40787i	0.912865	−	0.408263i	$-0.133865\pi$
$858$	3.91499	−	1.62164i	0.133655	−	0.0553619i
$859$	31.3980	+	13.0055i	1.07128	+	0.443741i	0.847444	−	0.530885i	$-0.178140\pi$
$859$	31.3980	+	13.0055i	1.07128	+	0.443741i	0.223841	+	0.974626i	$0.428140\pi$
$860$	−13.7423	+	20.7930i	−0.468610	+	0.709034i
$861$	−10.8681	−	7.26182i	−0.370383	−	0.247482i
$862$	−19.8538	−	29.7133i	−0.676223	−	1.01204i
$863$	−5.15284			−0.175405			−0.0877024	−	0.996147i	$-0.527952\pi$
$863$	−5.15284			−0.175405			−0.0877024	+	0.996147i	$0.527952\pi$
$864$	3.13932	+	4.69833i	0.106802	+	0.159840i
$865$	−26.4009	−	10.7800i	−0.897656	−	0.366532i
$866$			4.53817i			0.154213i
$867$	−23.1623	+	3.23843i	−0.786632	+	0.109983i
$868$	−1.08339	+	1.08339i	−0.0367727	+	0.0367727i
$869$	6.03017	−	2.49778i	0.204560	−	0.0847314i
$870$	−10.1869	−	15.0807i	−0.345368	−	0.511282i
$871$	9.85819	−	9.85819i	0.334032	−	0.334032i
$872$	−12.1128	+	8.09353i	−0.410192	+	0.274081i
$873$	2.59556	+	13.0488i	0.0878465	+	0.441634i
$874$	−3.59621	+	0.715331i	−0.121644	+	0.0241964i
$875$	40.4684	−	17.4840i	1.36808	−	0.591068i
$876$	1.24021	−	2.99413i	0.0419028	−	0.101162i
$877$	−19.8283	−	13.2489i	−0.669555	−	0.447382i	0.173770	−	0.984786i	$-0.444405\pi$
$877$	−19.8283	−	13.2489i	−0.669555	−	0.447382i	−0.843325	+	0.537404i	$0.819405\pi$
$878$	−9.09191	+	1.80849i	−0.306837	+	0.0610337i
$879$	−3.72180	+	18.7108i	−0.125533	+	0.631099i
$880$	5.12761	−	5.17956i	0.172852	−	0.174603i
$881$	42.1545	−	28.1667i	1.42022	−	0.948961i	0.421101	−	0.907014i	$-0.361644\pi$
$881$	42.1545	−	28.1667i	1.42022	−	0.948961i	0.999120	−	0.0419471i	$-0.0133561\pi$
$882$	8.74405	+	3.62190i	0.294428	+	0.121956i
$883$	−15.6413	−	15.6413i	−0.526372	−	0.526372i	0.393116	−	0.919489i	$-0.371397\pi$
$883$	−15.6413	−	15.6413i	−0.526372	−	0.526372i	−0.919489	+	0.393116i	$0.871397\pi$
$884$	−3.17621	−	2.25683i	−0.106827	−	0.0759054i
$885$	21.2096	−	21.4245i	0.712952	−	0.720176i
$886$	−4.44383	−	10.7284i	−0.149293	−	0.360426i
$887$	1.48367	−	7.45890i	0.0498167	−	0.250445i	−0.947850	−	0.318716i	$-0.896748\pi$
$887$	1.48367	−	7.45890i	0.0498167	−	0.250445i	0.997667	+	0.0682710i	$0.0217482\pi$
$888$			12.8775i			0.432142i
$889$	−35.5778	−	7.07687i	−1.19324	−	0.237351i
$890$	−7.14206	+	1.45811i	−0.239402	+	0.0488758i
$891$	2.83083	+	14.2315i	0.0948364	+	0.476775i
$892$	−2.14410	−	5.17632i	−0.0717899	−	0.173316i
$893$	0.386587	+	0.933303i	0.0129366	+	0.0312318i
$894$	−5.61158	−	28.2113i	−0.187679	−	0.943528i
$895$	2.64079	+	1.74533i	0.0882719	+	0.0583400i
$896$	−3.86721	−	0.769236i	−0.129194	−	0.0256984i
$897$		−	5.79777i		−	0.193582i
$898$	3.46050	−	17.3971i	0.115478	−	0.580549i
$899$	0.879709	+	2.12381i	0.0293399	+	0.0708329i
$900$	0.0558125	+	5.53642i	0.00186042	+	0.184547i
$901$	24.0271	+	5.50092i	0.800460	+	0.183262i
$902$	−5.55362	−	5.55362i	−0.184915	−	0.184915i
$903$	55.8606	+	23.1382i	1.85893	+	0.769992i
$904$	−16.7971	+	11.2234i	−0.558663	+	0.373286i
$905$	5.18740	+	5.13537i	0.172435	+	0.170705i
$906$	0.597731	−	3.00500i	0.0198583	−	0.0998344i
$907$	18.2004	−	3.62029i	0.604336	−	0.120210i	0.116567	−	0.993183i	$-0.462811\pi$
$907$	18.2004	−	3.62029i	0.604336	−	0.120210i	0.487769	+	0.872973i	$0.337811\pi$
$908$	4.89799	+	3.27273i	0.162545	+	0.108609i
$909$	−7.73253	+	18.6680i	−0.256472	+	0.619178i
$910$	−3.22723	−	7.68148i	−0.106982	−	0.254639i
$911$	−36.9257	+	7.34498i	−1.22340	+	0.243350i	−0.764199	−	0.644981i	$-0.776865\pi$
$911$	−36.9257	+	7.34498i	−1.22340	+	0.243350i	−0.459204	+	0.888331i	$0.651865\pi$
$912$	0.220675	+	1.10941i	0.00730727	+	0.0367361i
$913$	36.7455	−	24.5526i	1.21610	−	0.812571i
$914$	20.4106	−	20.4106i	0.675124	−	0.675124i
$915$	23.7087	+	4.59184i	0.783785	+	0.151802i
$916$	−3.44010	+	1.42493i	−0.113664	+	0.0470812i
$917$	31.3652	−	31.3652i	1.03577	−	1.03577i
$918$	16.9405	−	15.9944i	0.559121	−	0.527895i
$919$			19.2337i			0.634461i	0.948348	+	0.317231i	$0.102753\pi$
$919$			19.2337i			0.634461i	−0.948348	+	0.317231i	$0.897247\pi$
$920$	−3.86245	−	9.19344i	−0.127341	−	0.303099i
$921$	4.67696	+	6.99956i	0.154111	+	0.230643i
$922$	−38.4127			−1.26506
$923$	2.82114	+	4.22213i	0.0928589	+	0.138973i
$924$	−14.7012	−	9.82300i	−0.483632	−	0.323153i
$925$	−25.6083	+	39.1748i	−0.841996	+	1.28806i
$926$	20.8256	+	8.62623i	0.684370	+	0.283475i
$927$	−4.19390	+	1.73717i	−0.137746	+	0.0570561i
$928$	−3.28672	+	4.91892i	−0.107892	+	0.161471i
$929$	4.65183	−	6.96196i	0.152622	−	0.228414i	−0.747278	−	0.664512i	$-0.768640\pi$
$929$	4.65183	−	6.96196i	0.152622	−	0.228414i	0.899900	+	0.436097i	$0.143640\pi$
$930$	−0.227290	+	1.17355i	−0.00745314	+	0.0384822i
$931$	4.96915	+	4.96915i	0.162857	+	0.162857i
$932$	1.05539	+	0.209931i	0.0345705	+	0.00687651i
$933$	6.58476	−	15.8970i	0.215575	−	0.520445i
$934$	−18.7905			−0.614844
$935$	−24.5840	−	17.2821i	−0.803981	−	0.565186i
$936$	1.04644			0.0342040
$937$	3.40708	−	8.22542i	0.111304	−	0.268713i	−0.858406	−	0.512971i	$-0.828545\pi$
$937$	3.40708	−	8.22542i	0.111304	−	0.268713i	0.969710	+	0.244259i	$0.0785447\pi$
$938$	−57.0527	−	11.3485i	−1.86284	−	0.370541i
$939$	13.7249	+	13.7249i	0.447896	+	0.447896i
$940$	−2.27660	+	1.53783i	−0.0742546	+	0.0501586i
$941$	3.64435	−	5.45415i	0.118802	−	0.177800i	−0.767302	−	0.641286i	$-0.778401\pi$
$941$	3.64435	−	5.45415i	0.118802	−	0.177800i	0.886105	+	0.463485i	$0.153401\pi$
$942$	−4.80716	+	7.19442i	−0.156626	+	0.234407i
$943$	−9.92779	+	4.11223i	−0.323293	+	0.133913i
$944$	−9.05402	−	3.75030i	−0.294683	−	0.122062i
$945$	48.8134	−	9.96561i	1.58790	−	0.324181i
$946$	30.2080	+	20.1843i	0.982146	+	0.656249i
$947$	−7.07867	−	10.5940i	−0.230026	−	0.344258i	0.698445	−	0.715664i	$-0.253876\pi$
$947$	−7.07867	−	10.5940i	−0.230026	−	0.344258i	−0.928471	+	0.371406i	$0.878876\pi$
$948$	−2.75490			−0.0894750
$949$	−1.23678	−	1.85097i	−0.0401476	−	0.0600851i
$950$	−1.53486	+	3.81376i	−0.0497973	+	0.123735i
$951$		−	28.8321i		−	0.934946i
$952$	−0.466807	+	16.2506i	−0.0151293	+	0.526685i
$953$	16.2325	−	16.2325i	0.525821	−	0.525821i	−0.393502	−	0.919324i	$-0.628737\pi$
$953$	16.2325	−	16.2325i	0.525821	−	0.525821i	0.919324	+	0.393502i	$0.128737\pi$
$954$	−6.11600	+	2.53333i	−0.198013	+	0.0820196i
$955$	3.45630	−	2.33471i	0.111843	−	0.0755495i
$956$	−13.7334	+	13.7334i	−0.444169	+	0.444169i
$957$	−22.0572	+	14.7382i	−0.713008	+	0.476417i
$958$	−4.21982	−	21.2145i	−0.136336	−	0.685408i
$959$	−12.6783	+	2.52187i	−0.409404	+	0.0814356i
$960$	−2.83611	+	1.19154i	−0.0915351	+	0.0384568i
$961$	−11.8054	+	28.5008i	−0.380819	+	0.919380i
$962$	7.35490	+	4.91439i	0.237131	+	0.158446i
$963$	17.8438	−	3.54936i	0.575009	−	0.114376i
$964$	−3.42605	+	17.2239i	−0.110346	+	0.554745i
$965$	−0.290479	−	57.6306i	−0.00935084	−	1.85519i
$966$	−20.1140	+	13.4397i	−0.647156	+	0.432416i
$967$	51.1491	+	21.1866i	1.64484	+	0.681316i	0.996774	−	0.0802645i	$-0.0255765\pi$
$967$	51.1491	+	21.1866i	1.64484	+	0.681316i	0.648070	+	0.761581i	$0.275576\pi$
$968$	0.265847	+	0.265847i	0.00854465	+	0.00854465i
$969$	4.35827	−	1.66031i	0.140008	−	0.0533368i
$970$	−26.8654	+	0.135411i	−0.862597	+	0.00434780i
$971$	7.54998	+	18.2273i	0.242290	+	0.584941i	0.997510	−	0.0705316i	$-0.0224696\pi$
$971$	7.54998	+	18.2273i	0.242290	+	0.584941i	−0.755219	+	0.655472i	$0.772470\pi$
$972$	−2.11232	+	10.6194i	−0.0677528	+	0.340616i
$973$			53.0238i			1.69987i
$974$	34.0013	+	6.76329i	1.08947	+	0.216710i
$975$	−5.44102	−	3.55676i	−0.174252	−	0.113908i
$976$	−1.53150	−	7.69939i	−0.0490223	−	0.246451i
$977$	19.3375	+	46.6848i	0.618661	+	1.49358i	0.853259	+	0.521487i	$0.174622\pi$
$977$	19.3375	+	46.6848i	0.618661	+	1.49358i	−0.234599	+	0.972092i	$0.575378\pi$
$978$	−3.85358	−	9.30336i	−0.123224	−	0.297489i
$979$	2.07294	+	10.4214i	0.0662514	+	0.333068i
$980$	−10.5377	+	15.9442i	−0.336615	+	0.509318i
$981$	−15.8217	−	3.14714i	−0.505149	−	0.100480i
$982$			36.4929i			1.16453i
$983$	−1.07967	+	5.42789i	−0.0344362	+	0.173123i	−0.994176	−	0.107768i	$-0.965630\pi$
$983$	−1.07967	+	5.42789i	−0.0344362	+	0.173123i	0.959740	+	0.280890i	$0.0906297\pi$
$984$	1.26859	+	3.06266i	0.0404413	+	0.0976339i
$985$	15.7113	+	15.5538i	0.500605	+	0.495584i
$986$	22.2580	+	9.97764i	0.708838	+	0.317753i
$987$	4.71272	+	4.71272i	0.150008	+	0.150008i
$988$	0.717844	+	0.297341i	0.0228377	+	0.00945967i
$989$	41.3302	−	27.6160i	1.31422	−	0.878136i
$990$	8.07059	−	0.0406787i	0.256500	−	0.00129285i
$991$	1.81555	−	9.12738i	0.0576728	−	0.289941i	−0.941176	−	0.337918i	$-0.890277\pi$
$991$	1.81555	−	9.12738i	0.0576728	−	0.289941i	0.998848	+	0.0479770i	$0.0152774\pi$
$992$	0.381110	−	0.0758074i	0.0121002	−	0.00240689i
$993$	−13.3431	−	8.91555i	−0.423429	−	0.282926i
$994$	8.10803	−	19.5745i	0.257171	−	0.620866i
$995$	−19.6868	+	48.2140i	−0.624112	+	1.52849i
$996$	−18.2946	+	3.63903i	−0.579687	+	0.115307i
$997$	−9.35648	−	47.0382i	−0.296323	−	1.48971i	−0.786227	−	0.617938i	$-0.787968\pi$
$997$	−9.35648	−	47.0382i	−0.296323	−	1.48971i	0.489904	−	0.871776i	$-0.337032\pi$
$998$	2.04314	−	1.36519i	0.0646746	−	0.0432142i
$999$	−37.4006	+	37.4006i	−1.18330	+	1.18330i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	170.2.r.a.107.2	yes	32
5.2	odd	4		850.2.s.c.243.2		32
5.3	odd	4		170.2.o.a.73.3	yes	32
5.4	even	2		850.2.v.c.107.3		32
17.7	odd	16		170.2.o.a.7.3	✓	32
85.7	even	16		850.2.v.c.143.3		32
85.24	odd	16		850.2.s.c.7.2		32
85.58	even	16	inner	170.2.r.a.143.2	yes	32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
170.2.o.a.7.3	✓	32	17.7	odd	16
170.2.o.a.73.3	yes	32	5.3	odd	4
170.2.r.a.107.2	yes	32	1.1	even	1	trivial
170.2.r.a.143.2	yes	32	85.58	even	16	inner
850.2.s.c.7.2		32	85.24	odd	16
850.2.s.c.243.2		32	5.2	odd	4
850.2.v.c.107.3		32	5.4	even	2
850.2.v.c.143.3		32	85.7	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)

\(f(q)\)	\(=\)	\(q+(0.382683 - 0.923880i) q^{2} +(-1.34931 - 0.268393i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(2.19527 + 0.425176i) q^{5} +(-0.764320 + 1.14389i) q^{6} +(2.19060 - 3.27846i) q^{7} +(-0.923880 + 0.382683i) q^{8} +(-1.02305 - 0.423761i) q^{9} +O(q^{10})\)	\(q+(0.382683 - 0.923880i) q^{2} +(-1.34931 - 0.268393i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(2.19527 + 0.425176i) q^{5} +(-0.764320 + 1.14389i) q^{6} +(2.19060 - 3.27846i) q^{7} +(-0.923880 + 0.382683i) q^{8} +(-1.02305 - 0.423761i) q^{9} +(1.23291 - 1.86546i) q^{10} +(-2.71014 - 1.81086i) q^{11} +(0.764320 + 1.14389i) q^{12} +0.945005 q^{13} +(-2.19060 - 3.27846i) q^{14} +(-2.84798 - 1.16289i) q^{15} +1.00000i q^{16} +(4.06531 - 0.687932i) q^{17} +(-0.783008 + 0.783008i) q^{18} +(-0.759619 + 0.314645i) q^{19} +(-1.25165 - 1.85294i) q^{20} +(-3.83571 + 3.83571i) q^{21} +(-2.71014 + 1.81086i) q^{22} +(0.870015 + 4.37386i) q^{23} +(1.34931 - 0.268393i) q^{24} +(4.63845 + 1.86675i) q^{25} +(0.361638 - 0.873070i) q^{26} +(4.69833 + 3.13932i) q^{27} +(-3.86721 + 0.769236i) q^{28} +(-1.15414 + 5.80226i) q^{29} +(-2.16424 + 2.18617i) q^{30} +(0.323089 - 0.215881i) q^{31} +(0.923880 + 0.382683i) q^{32} +(3.17078 + 3.17078i) q^{33} +(0.920161 - 4.01912i) q^{34} +(6.20289 - 6.26573i) q^{35} +(0.423761 + 1.02305i) q^{36} +(-1.82613 + 9.18058i) q^{37} +0.822206i q^{38} +(-1.27510 - 0.253633i) q^{39} +(-2.19088 + 0.447284i) q^{40} +(0.470091 + 2.36331i) q^{41} +(2.07587 + 5.01159i) q^{42} +(-4.26550 - 10.2978i) q^{43} +(0.635888 + 3.19682i) q^{44} +(-2.06570 - 1.36525i) q^{45} +(4.37386 + 0.870015i) q^{46} -1.22865i q^{47} +(0.268393 - 1.34931i) q^{48} +(-3.27081 - 7.89644i) q^{49} +(3.49971 - 3.57099i) q^{50} +(-5.66998 - 0.162873i) q^{51} +(-0.668219 - 0.668219i) q^{52} +(5.52315 + 2.28776i) q^{53} +(4.69833 - 3.13932i) q^{54} +(-5.17956 - 5.12761i) q^{55} +(-0.769236 + 3.86721i) q^{56} +(1.10941 - 0.220675i) q^{57} +(4.91892 + 3.28672i) q^{58} +(-3.75030 + 9.05402i) q^{59} +(1.19154 + 2.83611i) q^{60} +(-7.69939 + 1.53150i) q^{61} +(-0.0758074 - 0.381110i) q^{62} +(-3.63038 + 2.42574i) q^{63} +(0.707107 - 0.707107i) q^{64} +(2.07454 + 0.401793i) q^{65} +(4.14282 - 1.71601i) q^{66} +(10.4319 - 10.4319i) q^{67} +(-3.36105 - 2.38817i) q^{68} -6.13518i q^{69} +(-3.41504 - 8.12851i) q^{70} +(2.98532 + 4.46784i) q^{71} +1.10734 q^{72} +(-1.30876 - 1.95869i) q^{73} +(7.78292 + 5.20038i) q^{74} +(-5.75766 - 3.76375i) q^{75} +(0.759619 + 0.314645i) q^{76} +(-11.8736 + 4.91822i) q^{77} +(-0.722286 + 1.08098i) q^{78} +(-1.11252 + 1.66501i) q^{79} +(-0.425176 + 2.19527i) q^{80} +(-3.14788 - 3.14788i) q^{81} +(2.36331 + 0.470091i) q^{82} +(-5.18863 + 12.5265i) q^{83} +5.42451 q^{84} +(9.21696 + 0.218274i) q^{85} -11.1463 q^{86} +(3.11458 - 7.51925i) q^{87} +(3.19682 + 0.635888i) q^{88} +(-2.30511 - 2.30511i) q^{89} +(-2.05183 + 1.38600i) q^{90} +(2.07013 - 3.09816i) q^{91} +(2.47759 - 3.70798i) q^{92} +(-0.493887 + 0.204575i) q^{93} +(-1.13512 - 0.470182i) q^{94} +(-1.80135 + 0.367759i) q^{95} +(-1.14389 - 0.764320i) q^{96} +(-6.67503 - 9.98989i) q^{97} -8.54705 q^{98} +(2.00523 + 3.00104i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q+O(q^{10}) \) 32 * q	\( 32 q - 8 q^{10} - 48 q^{15} + 16 q^{18} - 24 q^{25} + 8 q^{26} + 24 q^{27} - 8 q^{28} - 8 q^{29} - 16 q^{30} - 16 q^{31} + 64 q^{33} + 24 q^{34} + 32 q^{35} - 32 q^{37} - 32 q^{39} + 16 q^{41} - 24 q^{42} - 16 q^{43} - 16 q^{44} - 24 q^{45} - 16 q^{49} - 32 q^{50} + 32 q^{51} - 16 q^{52} + 16 q^{53} + 24 q^{54} - 8 q^{55} + 8 q^{56} - 24 q^{57} - 16 q^{58} - 64 q^{59} + 40 q^{60} - 24 q^{61} - 40 q^{62} - 24 q^{63} + 32 q^{65} + 16 q^{67} + 40 q^{70} + 8 q^{71} - 16 q^{72} + 32 q^{73} + 8 q^{74} - 56 q^{75} + 24 q^{77} + 32 q^{78} + 72 q^{79} + 8 q^{80} + 48 q^{81} + 48 q^{82} + 16 q^{83} + 8 q^{85} - 64 q^{86} + 40 q^{87} + 32 q^{88} + 16 q^{89} + 24 q^{90} + 48 q^{91} + 24 q^{92} - 8 q^{93} + 8 q^{94} + 56 q^{95} - 48 q^{97} - 64 q^{99}+O(q^{100}) \) 32 * q - 8 * q^10 - 48 * q^15 + 16 * q^18 - 24 * q^25 + 8 * q^26 + 24 * q^27 - 8 * q^28 - 8 * q^29 - 16 * q^30 - 16 * q^31 + 64 * q^33 + 24 * q^34 + 32 * q^35 - 32 * q^37 - 32 * q^39 + 16 * q^41 - 24 * q^42 - 16 * q^43 - 16 * q^44 - 24 * q^45 - 16 * q^49 - 32 * q^50 + 32 * q^51 - 16 * q^52 + 16 * q^53 + 24 * q^54 - 8 * q^55 + 8 * q^56 - 24 * q^57 - 16 * q^58 - 64 * q^59 + 40 * q^60 - 24 * q^61 - 40 * q^62 - 24 * q^63 + 32 * q^65 + 16 * q^67 + 40 * q^70 + 8 * q^71 - 16 * q^72 + 32 * q^73 + 8 * q^74 - 56 * q^75 + 24 * q^77 + 32 * q^78 + 72 * q^79 + 8 * q^80 + 48 * q^81 + 48 * q^82 + 16 * q^83 + 8 * q^85 - 64 * q^86 + 40 * q^87 + 32 * q^88 + 16 * q^89 + 24 * q^90 + 48 * q^91 + 24 * q^92 - 8 * q^93 + 8 * q^94 + 56 * q^95 - 48 * q^97 - 64 * q^99

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