LMFDB - Embedded newform 345.2.m.a.151.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [345,2,Mod(16,345)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(345, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 0, 8]))

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

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

chi := DirichletCharacter("345.16");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 345 = 3 \cdot 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	345.m (of order $11$, degree $10$, 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:	$2.75483886973$
Analytic rank:	$0$
Dimension:	$30$
Relative dimension:	$3$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			151.1
Character	$\chi$	$=$	345.151
Dual form			345.2.m.a.16.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.52611 - 1.76122i) q^{2} +(-0.841254 - 0.540641i) q^{3} +(-0.488270 + 3.39599i) q^{4} +(-0.415415 + 0.909632i) q^{5} +(0.331655 + 2.30671i) q^{6} +(1.12603 + 0.330631i) q^{7} +(2.80528 - 1.80285i) q^{8} +(0.415415 + 0.909632i) q^{9} +O(q^{10})$	\(q+(-1.52611 - 1.76122i) q^{2} +(-0.841254 - 0.540641i) q^{3} +(-0.488270 + 3.39599i) q^{4} +(-0.415415 + 0.909632i) q^{5} +(0.331655 + 2.30671i) q^{6} +(1.12603 + 0.330631i) q^{7} +(2.80528 - 1.80285i) q^{8} +(0.415415 + 0.909632i) q^{9} +(2.23603 - 0.656559i) q^{10} +(-0.206779 + 0.238635i) q^{11} +(2.24677 - 2.59291i) q^{12} +(4.56960 - 1.34176i) q^{13} +(-1.13612 - 2.48776i) q^{14} +(0.841254 - 0.540641i) q^{15} +(-0.872506 - 0.256191i) q^{16} +(-0.886181 - 6.16352i) q^{17} +(0.968096 - 2.11984i) q^{18} +(-0.263979 + 1.83601i) q^{19} +(-2.88627 - 1.85489i) q^{20} +(-0.768521 - 0.886920i) q^{21} +0.735856 q^{22} +(4.57871 - 1.42667i) q^{23} -3.33465 q^{24} +(-0.654861 - 0.755750i) q^{25} +(-9.33683 - 6.00042i) q^{26} +(0.142315 - 0.989821i) q^{27} +(-1.67262 + 3.66254i) q^{28} +(0.265140 + 1.84409i) q^{29} +(-2.23603 - 0.656559i) q^{30} +(1.77882 - 1.14318i) q^{31} +(-1.89020 - 4.13895i) q^{32} +(0.302969 - 0.0889598i) q^{33} +(-9.50293 + 10.9670i) q^{34} +(-0.768521 + 0.886920i) q^{35} +(-3.29194 + 0.966600i) q^{36} +(-1.58646 - 3.47385i) q^{37} +(3.63649 - 2.33703i) q^{38} +(-4.56960 - 1.34176i) q^{39} +(0.474570 + 3.30070i) q^{40} +(0.518478 - 1.13531i) q^{41} +(-0.389218 + 2.70707i) q^{42} +(3.35873 + 2.15852i) q^{43} +(-0.709440 - 0.818737i) q^{44} -1.00000 q^{45} +(-9.50030 - 5.88688i) q^{46} -1.05273 q^{47} +(0.595491 + 0.687234i) q^{48} +(-4.73016 - 3.03989i) q^{49} +(-0.331655 + 2.30671i) q^{50} +(-2.58675 + 5.66419i) q^{51} +(2.32539 + 16.1735i) q^{52} +(2.94276 + 0.864072i) q^{53} +(-1.96048 + 1.25993i) q^{54} +(-0.131171 - 0.287225i) q^{55} +(3.75490 - 1.10254i) q^{56} +(1.21470 - 1.40183i) q^{57} +(2.84322 - 3.28126i) q^{58} +(12.9120 - 3.79132i) q^{59} +(1.42525 + 3.12087i) q^{60} +(9.14621 - 5.87791i) q^{61} +(-4.72805 - 1.38828i) q^{62} +(0.167015 + 1.16162i) q^{63} +(-5.16048 + 11.2999i) q^{64} +(-0.677776 + 4.71404i) q^{65} +(-0.619042 - 0.397834i) q^{66} +(0.0287242 + 0.0331495i) q^{67} +21.3640 q^{68} +(-4.62317 - 1.27525i) q^{69} +2.73491 q^{70} +(6.62281 + 7.64313i) q^{71} +(2.80528 + 1.80285i) q^{72} +(1.82788 - 12.7132i) q^{73} +(-3.69713 + 8.09558i) q^{74} +(0.142315 + 0.989821i) q^{75} +(-6.10619 - 1.79294i) q^{76} +(-0.311738 + 0.200342i) q^{77} +(4.61057 + 10.0957i) q^{78} +(14.9341 - 4.38504i) q^{79} +(0.595491 - 0.687234i) q^{80} +(-0.654861 + 0.755750i) q^{81} +(-2.79078 + 0.819448i) q^{82} +(0.836093 + 1.83079i) q^{83} +(3.38722 - 2.17683i) q^{84} +(5.97467 + 1.75432i) q^{85} +(-1.32414 - 9.20961i) q^{86} +(0.773941 - 1.69469i) q^{87} +(-0.149850 + 1.04223i) q^{88} +(-7.32820 - 4.70955i) q^{89} +(1.52611 + 1.76122i) q^{90} +5.58911 q^{91} +(2.60932 + 16.2459i) q^{92} -2.11448 q^{93} +(1.60659 + 1.85410i) q^{94} +(-1.56043 - 1.00283i) q^{95} +(-0.647552 + 4.50382i) q^{96} +(-5.70378 + 12.4895i) q^{97} +(1.86481 + 12.9701i) q^{98} +(-0.302969 - 0.0889598i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 30 q + 3 q^{3} + 2 q^{4} + 3 q^{5} + 11 q^{6} + q^{7} + 22 q^{8} - 3 q^{9}+O(q^{10}) $ 30 * q + 3 * q^3 + 2 * q^4 + 3 * q^5 + 11 * q^6 + q^7 + 22 * q^8 - 3 * q^9	\( 30 q + 3 q^{3} + 2 q^{4} + 3 q^{5} + 11 q^{6} + q^{7} + 22 q^{8} - 3 q^{9} - 7 q^{11} - 2 q^{12} + 7 q^{13} - 47 q^{14} - 3 q^{15} + 26 q^{16} + 15 q^{17} - 7 q^{19} - 2 q^{20} - 12 q^{21} - 18 q^{22} + 12 q^{23} - 3 q^{25} - 18 q^{26} + 3 q^{27} + 2 q^{28} - 6 q^{29} + 22 q^{31} + 33 q^{32} - 4 q^{33} - 53 q^{34} - 12 q^{35} - 9 q^{36} - 23 q^{37} + 21 q^{38} - 7 q^{39} + 11 q^{40} + 26 q^{41} + 3 q^{42} - 19 q^{43} - 47 q^{44} - 30 q^{45} - 44 q^{46} + 14 q^{47} + 7 q^{48} + 2 q^{49} - 11 q^{50} - 15 q^{51} + 55 q^{52} - 14 q^{53} - 11 q^{54} - 4 q^{55} + 6 q^{56} - 26 q^{57} - 18 q^{58} + 40 q^{59} - 9 q^{60} + 37 q^{61} + 19 q^{62} - 10 q^{63} + 14 q^{64} + 4 q^{65} - 4 q^{66} - 108 q^{67} + 54 q^{68} + 21 q^{69} - 30 q^{70} + 39 q^{71} + 22 q^{72} + 57 q^{73} - 11 q^{74} + 3 q^{75} + 22 q^{76} + 2 q^{77} + 7 q^{78} + 55 q^{79} + 7 q^{80} - 3 q^{81} - 26 q^{82} - 79 q^{83} - 2 q^{84} + 18 q^{85} - 44 q^{86} - 5 q^{87} - 8 q^{88} - 30 q^{89} + 40 q^{91} + 35 q^{92} + 44 q^{93} - 29 q^{94} + 7 q^{95} + 22 q^{96} - 52 q^{97} + 28 q^{98} + 4 q^{99}+O(q^{100}) \) 30 * q + 3 * q^3 + 2 * q^4 + 3 * q^5 + 11 * q^6 + q^7 + 22 * q^8 - 3 * q^9 - 7 * q^11 - 2 * q^12 + 7 * q^13 - 47 * q^14 - 3 * q^15 + 26 * q^16 + 15 * q^17 - 7 * q^19 - 2 * q^20 - 12 * q^21 - 18 * q^22 + 12 * q^23 - 3 * q^25 - 18 * q^26 + 3 * q^27 + 2 * q^28 - 6 * q^29 + 22 * q^31 + 33 * q^32 - 4 * q^33 - 53 * q^34 - 12 * q^35 - 9 * q^36 - 23 * q^37 + 21 * q^38 - 7 * q^39 + 11 * q^40 + 26 * q^41 + 3 * q^42 - 19 * q^43 - 47 * q^44 - 30 * q^45 - 44 * q^46 + 14 * q^47 + 7 * q^48 + 2 * q^49 - 11 * q^50 - 15 * q^51 + 55 * q^52 - 14 * q^53 - 11 * q^54 - 4 * q^55 + 6 * q^56 - 26 * q^57 - 18 * q^58 + 40 * q^59 - 9 * q^60 + 37 * q^61 + 19 * q^62 - 10 * q^63 + 14 * q^64 + 4 * q^65 - 4 * q^66 - 108 * q^67 + 54 * q^68 + 21 * q^69 - 30 * q^70 + 39 * q^71 + 22 * q^72 + 57 * q^73 - 11 * q^74 + 3 * q^75 + 22 * q^76 + 2 * q^77 + 7 * q^78 + 55 * q^79 + 7 * q^80 - 3 * q^81 - 26 * q^82 - 79 * q^83 - 2 * q^84 + 18 * q^85 - 44 * q^86 - 5 * q^87 - 8 * q^88 - 30 * q^89 + 40 * q^91 + 35 * q^92 + 44 * q^93 - 29 * q^94 + 7 * q^95 + 22 * q^96 - 52 * q^97 + 28 * q^98 + 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/345\mathbb{Z}\right)^\times$.

$n$	$116$	$166$	$277$
$\chi(n)$	$1$	$e\left(\frac{7}{11}\right)$	$1$

Coefficient data

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

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

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

$2$	−1.52611	−	1.76122i	−1.07912	−	1.24537i	−0.967835	−	0.251584i	$-0.919048\pi$
$2$	−1.52611	−	1.76122i	−1.07912	−	1.24537i	−0.111286	−	0.993788i	$-0.535497\pi$
$3$	−0.841254	−	0.540641i	−0.485698	−	0.312139i
$3$	−0.841254	−	0.540641i	−0.485698	−	0.312139i
$4$	−0.488270	+	3.39599i	−0.244135	+	1.69800i
$5$	−0.415415	+	0.909632i	−0.185779	+	0.406800i
$5$	−0.415415	+	0.909632i	−0.185779	+	0.406800i
$6$	0.331655	+	2.30671i	0.135398	+	0.941711i
$7$	1.12603	+	0.330631i	0.425598	+	0.124967i	0.487515	−	0.873114i	$-0.337903\pi$
$7$	1.12603	+	0.330631i	0.425598	+	0.124967i	−0.0619174	+	0.998081i	$0.519722\pi$
$8$	2.80528	−	1.80285i	0.991817	−	0.637402i
$9$	0.415415	+	0.909632i	0.138472	+	0.303211i
$10$	2.23603	−	0.656559i	0.707096	−	0.207622i
$11$	−0.206779	+	0.238635i	−0.0623461	+	0.0719512i	−0.786066	−	0.618143i	$-0.787885\pi$
$11$	−0.206779	+	0.238635i	−0.0623461	+	0.0719512i	0.723720	+	0.690094i	$0.242431\pi$
$12$	2.24677	−	2.59291i	0.648587	−	0.748509i
$13$	4.56960	−	1.34176i	1.26738	−	0.372136i	0.422143	−	0.906529i	$-0.361278\pi$
$13$	4.56960	−	1.34176i	1.26738	−	0.372136i	0.845236	+	0.534394i	$0.179460\pi$
$14$	−1.13612	−	2.48776i	−0.303642	−	0.664882i
$15$	0.841254	−	0.540641i	0.217211	−	0.139593i
$16$	−0.872506	−	0.256191i	−0.218126	−	0.0640477i
$17$	−0.886181	−	6.16352i	−0.214930	−	1.49487i	−0.756376	−	0.654137i	$-0.773032\pi$
$17$	−0.886181	−	6.16352i	−0.214930	−	1.49487i	0.541445	−	0.840736i	$-0.317877\pi$
$18$	0.968096	−	2.11984i	0.228183	−	0.499650i
$19$	−0.263979	+	1.83601i	−0.0605608	+	0.421210i	0.936876	+	0.349661i	$0.113703\pi$
$19$	−0.263979	+	1.83601i	−0.0605608	+	0.421210i	−0.997437	+	0.0715488i	$0.977206\pi$
$20$	−2.88627	−	1.85489i	−0.645389	−	0.414766i
$21$	−0.768521	−	0.886920i	−0.167705	−	0.193542i
$22$	0.735856			0.156885
$23$	4.57871	−	1.42667i	0.954728	−	0.297482i
$23$	4.57871	−	1.42667i	0.954728	−	0.297482i
$24$	−3.33465			−0.680682
$25$	−0.654861	−	0.755750i	−0.130972	−	0.151150i
$26$	−9.33683	−	6.00042i	−1.83110	−	1.17678i
$27$	0.142315	−	0.989821i	0.0273885	−	0.190491i
$28$	−1.67262	+	3.66254i	−0.316096	+	0.692154i
$29$	0.265140	+	1.84409i	0.0492353	+	0.342439i	0.999518	+	0.0310502i	$0.00988517\pi$
$29$	0.265140	+	1.84409i	0.0492353	+	0.342439i	−0.950282	+	0.311389i	$0.899206\pi$
$30$	−2.23603	−	0.656559i	−0.408242	−	0.119871i
$31$	1.77882	−	1.14318i	0.319485	−	0.205320i	−0.371062	−	0.928608i	$-0.621006\pi$
$31$	1.77882	−	1.14318i	0.319485	−	0.205320i	0.690547	+	0.723288i	$0.257370\pi$
$32$	−1.89020	−	4.13895i	−0.334142	−	0.731670i
$33$	0.302969	−	0.0889598i	0.0527402	−	0.0154859i
$34$	−9.50293	+	10.9670i	−1.62974	+	1.88082i
$35$	−0.768521	+	0.886920i	−0.129904	+	0.149917i
$36$	−3.29194	+	0.966600i	−0.548656	+	0.161100i
$37$	−1.58646	−	3.47385i	−0.260812	−	0.571098i	0.733245	−	0.679965i	$-0.238005\pi$
$37$	−1.58646	−	3.47385i	−0.260812	−	0.571098i	−0.994056	+	0.108867i	$0.965278\pi$
$38$	3.63649	−	2.33703i	0.589916	−	0.379116i
$39$	−4.56960	−	1.34176i	−0.731721	−	0.214853i
$40$	0.474570	+	3.30070i	0.0750361	+	0.521887i
$41$	0.518478	−	1.13531i	0.0809726	−	0.177305i	−0.864815	−	0.502090i	$-0.832565\pi$
$41$	0.518478	−	1.13531i	0.0809726	−	0.177305i	0.945788	+	0.324785i	$0.105292\pi$
$42$	−0.389218	+	2.70707i	−0.0600577	+	0.417710i
$43$	3.35873	+	2.15852i	0.512201	+	0.329172i	0.771080	−	0.636738i	$-0.219717\pi$
$43$	3.35873	+	2.15852i	0.512201	+	0.329172i	−0.258879	+	0.965910i	$0.583353\pi$
$44$	−0.709440	−	0.818737i	−0.106952	−	0.123429i
$45$	−1.00000			−0.149071
$46$	−9.50030	−	5.88688i	−1.40074	−	0.867973i
$47$	−1.05273			−0.153557			−0.0767786	−	0.997048i	$-0.524463\pi$
$47$	−1.05273			−0.153557			−0.0767786	+	0.997048i	$0.524463\pi$
$48$	0.595491	+	0.687234i	0.0859518	+	0.0991936i
$49$	−4.73016	−	3.03989i	−0.675737	−	0.434270i
$50$	−0.331655	+	2.30671i	−0.0469031	+	0.326218i
$51$	−2.58675	+	5.66419i	−0.362217	+	0.793145i
$52$	2.32539	+	16.1735i	0.322474	+	2.24285i
$53$	2.94276	+	0.864072i	0.404219	+	0.118689i	0.477521	−	0.878620i	$-0.341535\pi$
$53$	2.94276	+	0.864072i	0.404219	+	0.118689i	−0.0733018	+	0.997310i	$0.523354\pi$
$54$	−1.96048	+	1.25993i	−0.266788	+	0.171454i
$55$	−0.131171	−	0.287225i	−0.0176871	−	0.0387294i
$56$	3.75490	−	1.10254i	0.501769	−	0.147333i
$57$	1.21470	−	1.40183i	0.160890	−	0.185677i
$58$	2.84322	−	3.28126i	0.373334	−	0.430850i
$59$	12.9120	−	3.79132i	1.68101	−	0.493588i	0.704613	−	0.709592i	$-0.251121\pi$
$59$	12.9120	−	3.79132i	1.68101	−	0.493588i	0.976392	+	0.216004i	$0.0693024\pi$
$60$	1.42525	+	3.12087i	0.183999	+	0.402902i
$61$	9.14621	−	5.87791i	1.17105	−	0.752590i	0.197332	−	0.980337i	$-0.436772\pi$
$61$	9.14621	−	5.87791i	1.17105	−	0.752590i	0.973720	+	0.227747i	$0.0731360\pi$
$62$	−4.72805	−	1.38828i	−0.600463	−	0.176312i
$63$	0.167015	+	1.16162i	0.0210420	+	0.146350i
$64$	−5.16048	+	11.2999i	−0.645060	+	1.41248i
$65$	−0.677776	+	4.71404i	−0.0840678	+	0.584704i
$66$	−0.619042	−	0.397834i	−0.0761988	−	0.0489700i
$67$	0.0287242	+	0.0331495i	0.00350922	+	0.00404985i	0.757501	−	0.652833i	$-0.226420\pi$
$67$	0.0287242	+	0.0331495i	0.00350922	+	0.00404985i	−0.753992	+	0.656883i	$0.771874\pi$
$68$	21.3640			2.59076
$69$	−4.62317	−	1.27525i	−0.556565	−	0.153522i
$70$	2.73491			0.326884
$71$	6.62281	+	7.64313i	0.785983	+	0.907072i	0.997526	−	0.0702963i	$-0.0223945\pi$
$71$	6.62281	+	7.64313i	0.785983	+	0.907072i	−0.211544	+	0.977369i	$0.567849\pi$
$72$	2.80528	+	1.80285i	0.330606	+	0.212467i
$73$	1.82788	−	12.7132i	0.213937	−	1.48796i	−0.545901	−	0.837849i	$-0.683813\pi$
$73$	1.82788	−	12.7132i	0.213937	−	1.48796i	0.759838	−	0.650112i	$-0.225278\pi$
$74$	−3.69713	+	8.09558i	−0.429782	+	0.941092i
$75$	0.142315	+	0.989821i	0.0164331	+	0.114295i
$76$	−6.10619	−	1.79294i	−0.700428	−	0.205664i
$77$	−0.311738	+	0.200342i	−0.0355259	+	0.0228311i
$78$	4.61057	+	10.0957i	0.522045	+	1.14312i
$79$	14.9341	−	4.38504i	1.68022	−	0.493356i	0.704007	−	0.710193i	$-0.251392\pi$
$79$	14.9341	−	4.38504i	1.68022	−	0.493356i	0.976208	+	0.216837i	$0.0695741\pi$
$80$	0.595491	−	0.687234i	0.0665779	−	0.0768350i
$81$	−0.654861	+	0.755750i	−0.0727623	+	0.0839722i
$82$	−2.79078	+	0.819448i	−0.308191	+	0.0904929i
$83$	0.836093	+	1.83079i	0.0917731	+	0.200955i	0.949952	−	0.312395i	$-0.101131\pi$
$83$	0.836093	+	1.83079i	0.0917731	+	0.200955i	−0.858179	+	0.513350i	$0.828404\pi$
$84$	3.38722	−	2.17683i	0.369576	−	0.237512i
$85$	5.97467	+	1.75432i	0.648044	+	0.190283i
$86$	−1.32414	−	9.20961i	−0.142786	−	0.993098i
$87$	0.773941	−	1.69469i	0.0829752	−	0.181690i
$88$	−0.149850	+	1.04223i	−0.0159741	+	0.111102i
$89$	−7.32820	−	4.70955i	−0.776788	−	0.499211i	0.0911785	−	0.995835i	$-0.470937\pi$
$89$	−7.32820	−	4.70955i	−0.776788	−	0.499211i	−0.867966	+	0.496624i	$0.834573\pi$
$90$	1.52611	+	1.76122i	0.160866	+	0.185649i
$91$	5.58911			0.585898
$92$	2.60932	+	16.2459i	0.272040	+	1.69375i
$93$	−2.11448			−0.219262
$94$	1.60659	+	1.85410i	0.165707	+	0.191236i
$95$	−1.56043	−	1.00283i	−0.160097	−	0.102888i
$96$	−0.647552	+	4.50382i	−0.0660905	+	0.459670i
$97$	−5.70378	+	12.4895i	−0.579131	+	1.26812i	0.362660	+	0.931922i	$0.381869\pi$
$97$	−5.70378	+	12.4895i	−0.579131	+	1.26812i	−0.941791	+	0.336199i	$0.890859\pi$
$98$	1.86481	+	12.9701i	0.188375	+	1.31017i
$99$	−0.302969	−	0.0889598i	−0.0304495	−	0.00894079i
$100$	2.88627	−	1.85489i	0.288627	−	0.185489i
$101$	4.90232	+	10.7346i	0.487799	+	1.06813i	0.980245	+	0.197788i	$0.0633757\pi$
$101$	4.90232	+	10.7346i	0.487799	+	1.06813i	−0.492446	+	0.870343i	$0.663897\pi$
$102$	13.9236	−	4.08833i	1.37864	−	0.404805i
$103$	−7.37664	+	8.51310i	−0.726842	+	0.838821i	−0.992112	−	0.125354i	$-0.959993\pi$
$103$	−7.37664	+	8.51310i	−0.726842	+	0.838821i	0.265270	+	0.964174i	$0.414539\pi$
$104$	10.4000	−	12.0023i	1.01981	−	1.17692i
$105$	1.12603	−	0.330631i	0.109889	−	0.0322663i
$106$	−2.96915	−	6.50152i	−0.288389	−	0.631484i
$107$	−7.72950	+	4.96745i	−0.747239	+	0.480221i	−0.858015	−	0.513624i	$-0.828303\pi$
$107$	−7.72950	+	4.96745i	−0.747239	+	0.480221i	0.110777	+	0.993845i	$0.464666\pi$
$108$	3.29194	+	0.966600i	0.316767	+	0.0930111i
$109$	−1.69337	−	11.7777i	−0.162195	−	1.12809i	−0.894484	−	0.447100i	$-0.852457\pi$
$109$	−1.69337	−	11.7777i	−0.162195	−	1.12809i	0.732289	−	0.680994i	$-0.238452\pi$
$110$	−0.305686	+	0.669359i	−0.0291460	+	0.0638208i
$111$	−0.543496	+	3.78010i	−0.0515863	+	0.358791i
$112$	−0.897759	−	0.576955i	−0.0848303	−	0.0545171i
$113$	0.306336	+	0.353531i	0.0288177	+	0.0332574i	0.769975	−	0.638074i	$-0.220268\pi$
$113$	0.306336	+	0.353531i	0.0288177	+	0.0332574i	−0.741158	+	0.671331i	$0.765723\pi$
$114$	−4.32270			−0.404858
$115$	−0.604320	+	4.75760i	−0.0563531	+	0.443649i
$116$	−6.39198			−0.593481
$117$	3.11878	+	3.59927i	0.288332	+	0.332752i
$118$	−26.3825	−	16.9550i	−2.42871	−	1.56084i
$119$	1.03999	−	7.23328i	0.0953356	−	0.663074i
$120$	1.38526	−	3.03330i	0.126457	−	0.276901i
$121$	1.55127	+	10.7893i	0.141025	+	0.980850i
$122$	−24.3104	−	7.13818i	−2.20096	−	0.646261i
$123$	−1.04997	+	0.674772i	−0.0946722	+	0.0608421i
$124$	3.01367	+	6.59902i	0.270636	+	0.592610i
$125$	0.959493	−	0.281733i	0.0858197	−	0.0251989i
$126$	1.79099	−	2.06691i	0.159554	−	0.184135i
$127$	0.525802	−	0.606808i	0.0466574	−	0.0538455i	−0.731941	−	0.681368i	$-0.761385\pi$
$127$	0.525802	−	0.606808i	0.0466574	−	0.0538455i	0.778599	+	0.627522i	$0.215931\pi$
$128$	19.0454	−	5.59223i	1.68339	−	0.494288i
$129$	−1.65856	−	3.63173i	−0.146028	−	0.319756i
$130$	9.33683	−	6.00042i	0.818894	−	0.526271i
$131$	8.49892	+	2.49551i	0.742554	+	0.218034i	0.631063	−	0.775732i	$-0.282619\pi$
$131$	8.49892	+	2.49551i	0.742554	+	0.218034i	0.111492	+	0.993765i	$0.464437\pi$
$132$	0.154176	+	1.07232i	0.0134193	+	0.0933332i
$133$	−0.904289	+	1.98012i	−0.0784118	+	0.171698i
$134$	0.0145474	−	0.101179i	0.00125670	−	0.00874057i
$135$	0.841254	+	0.540641i	0.0724036	+	0.0465310i
$136$	−13.5979	−	15.6928i	−1.16601	−	1.34564i
$137$	−15.5930			−1.33220			−0.666101	−	0.745861i	$-0.732038\pi$
$137$	−15.5930			−1.33220			−0.666101	+	0.745861i	$0.732038\pi$
$138$	4.80947	+	10.0886i	0.409409	+	0.858799i
$139$	−10.1358			−0.859707			−0.429853	−	0.902899i	$-0.641435\pi$
$139$	−10.1358			−0.859707			−0.429853	+	0.902899i	$0.641435\pi$
$140$	−2.63673	−	3.04295i	−0.222844	−	0.257176i
$141$	0.885617	+	0.569151i	0.0745824	+	0.0479312i
$142$	3.35413	−	23.3285i	0.281472	−	1.95768i
$143$	−0.624705	+	1.36791i	−0.0522405	+	0.114391i
$144$	−0.129413	−	0.900085i	−0.0107844	−	0.0750070i
$145$	−1.78759	−	0.524883i	−0.148451	−	0.0435892i
$146$	−25.1802	+	16.1824i	−2.08393	+	1.33926i
$147$	2.33577	+	5.11463i	0.192651	+	0.421848i
$148$	12.5718	−	3.69141i	1.03340	−	0.303432i
$149$	7.12910	−	8.22743i	0.584039	−	0.674017i	−0.384429	−	0.923155i	$-0.625602\pi$
$149$	7.12910	−	8.22743i	0.584039	−	0.674017i	0.968468	+	0.249138i	$0.0801471\pi$
$150$	1.52611	−	1.76122i	0.124606	−	0.143803i
$151$	−19.8828	+	5.83812i	−1.61804	+	0.475100i	−0.960491	−	0.278311i	$-0.910225\pi$
$151$	−19.8828	+	5.83812i	−1.61804	+	0.475100i	−0.657550	+	0.753411i	$0.728407\pi$
$152$	2.56951	+	5.62644i	0.208415	+	0.456365i
$153$	5.23840	−	3.36652i	0.423500	−	0.272167i
$154$	0.828593	+	0.243297i	0.0667700	+	0.0196054i
$155$	0.300922	+	2.09296i	0.0241707	+	0.168111i
$156$	6.78779	−	14.8632i	0.543458	−	1.19001i
$157$	2.98279	−	20.7458i	0.238053	−	1.65569i	−0.423576	−	0.905860i	$-0.639226\pi$
$157$	2.98279	−	20.7458i	0.238053	−	1.65569i	0.661629	−	0.749831i	$-0.269865\pi$
$158$	−30.5141	−	19.6102i	−2.42757	−	1.56010i
$159$	−2.00845	−	2.31788i	−0.159281	−	0.183820i
$160$	4.55014			0.359720
$161$	5.62745	−	0.0926043i	0.443505	−	0.00729824i
$162$	2.33043			0.183096
$163$	−3.61382	−	4.17057i	−0.283056	−	0.326665i	0.596361	−	0.802717i	$-0.296613\pi$
$163$	−3.61382	−	4.17057i	−0.283056	−	0.326665i	−0.879417	+	0.476052i	$0.842067\pi$
$164$	3.60234	+	2.31508i	0.281296	+	0.180778i
$165$	−0.0449373	+	0.312546i	−0.00349836	+	0.0243316i
$166$	1.94846	−	4.26653i	0.151230	−	0.331147i
$167$	3.27281	+	22.7629i	0.253258	+	1.76145i	0.578372	+	0.815773i	$0.303688\pi$
$167$	3.27281	+	22.7629i	0.253258	+	1.76145i	−0.325114	+	0.945675i	$0.605403\pi$
$168$	−3.75490	−	1.10254i	−0.289697	−	0.0850626i
$169$	8.14462	−	5.23423i	0.626510	−	0.402633i
$170$	−6.02824	−	13.2000i	−0.462345	−	1.01239i
$171$	−1.77976	+	0.522583i	−0.136101	+	0.0399629i
$172$	−8.97029	+	10.3523i	−0.683978	+	0.789353i
$173$	−7.73472	+	8.92634i	−0.588060	+	0.678657i	−0.969318	−	0.245811i	$-0.920946\pi$
$173$	−7.73472	+	8.92634i	−0.588060	+	0.678657i	0.381258	+	0.924469i	$0.375491\pi$
$174$	−4.16585	+	1.22321i	−0.315813	+	0.0927309i
$175$	−0.487516	−	1.06751i	−0.0368527	−	0.0806962i
$176$	0.241552	−	0.155236i	0.0182076	−	0.0117013i
$177$	−12.9120	−	3.79132i	−0.970529	−	0.284973i
$178$	2.88906	+	20.0939i	0.216544	+	1.50610i
$179$	−4.79344	+	10.4962i	−0.358279	+	0.784521i	0.641569	+	0.767066i	$0.278284\pi$
$179$	−4.79344	+	10.4962i	−0.358279	+	0.784521i	−0.999848	+	0.0174558i	$0.994443\pi$
$180$	0.488270	−	3.39599i	0.0363935	−	0.253122i
$181$	1.92223	+	1.23534i	0.142878	+	0.0918221i	0.610127	−	0.792304i	$-0.291118\pi$
$181$	1.92223	+	1.23534i	0.142878	+	0.0918221i	−0.467249	+	0.884126i	$0.654755\pi$
$182$	−8.52959	−	9.84367i	−0.632255	−	0.729661i
$183$	−10.8721			−0.803690
$184$	10.2725	−	12.2569i	0.757300	−	0.903593i
$185$	3.81897			0.280776
$186$	3.22693	+	3.72407i	0.236610	+	0.273062i
$187$	1.65408	+	1.06301i	0.120958	+	0.0777350i
$188$	0.514019	−	3.57508i	0.0374887	−	0.260739i
$189$	0.487516	−	1.06751i	0.0354616	−	0.0776500i
$190$	0.615184	+	4.27870i	0.0446301	+	0.310409i
$191$	−17.0172	−	4.99669i	−1.23132	−	0.361548i	−0.399571	−	0.916702i	$-0.630841\pi$
$191$	−17.0172	−	4.99669i	−1.23132	−	0.361548i	−0.831747	+	0.555155i	$0.812659\pi$
$192$	10.4504	−	6.71609i	0.754196	−	0.484692i
$193$	−1.45087	−	3.17696i	−0.104436	−	0.228682i	0.850199	−	0.526461i	$-0.176481\pi$
$193$	−1.45087	−	3.17696i	−0.104436	−	0.228682i	−0.954635	+	0.297779i	$0.903754\pi$
$194$	30.7015	−	9.01476i	2.20424	−	0.647222i
$195$	3.11878	−	3.59927i	0.223341	−	0.257749i
$196$	12.6330	−	14.5793i	0.902359	−	1.04138i
$197$	1.59229	−	0.467539i	0.113446	−	0.0333108i	−0.224517	−	0.974470i	$-0.572080\pi$
$197$	1.59229	−	0.467539i	0.113446	−	0.0333108i	0.337963	+	0.941159i	$0.390262\pi$
$198$	0.305686	+	0.669359i	0.0217241	+	0.0475692i
$199$	5.17006	−	3.32259i	0.366496	−	0.235532i	−0.344411	−	0.938819i	$-0.611921\pi$
$199$	5.17006	−	3.32259i	0.366496	−	0.235532i	0.710906	+	0.703287i	$0.248285\pi$
$200$	−3.19957	−	0.939479i	−0.226244	−	0.0664312i
$201$	−0.00624236	−	0.0434166i	−0.000440302	−	0.00306237i
$202$	11.4245	−	25.0162i	0.803827	−	1.76013i
$203$	−0.311159	+	2.16416i	−0.0218391	+	0.151894i
$204$	−17.9725	−	11.5502i	−1.25833	−	0.808678i
$205$	0.817329	+	0.943248i	0.0570847	+	0.0658793i
$206$	26.2510			1.82900
$207$	3.19981	+	3.57228i	0.222402	+	0.248291i
$208$	−4.33075			−0.300283
$209$	−0.383552	−	0.442642i	−0.0265308	−	0.0306182i
$210$	−2.30075	−	1.47860i	−0.158767	−	0.102033i
$211$	−0.894115	+	6.21870i	−0.0615534	+	0.428113i	0.935622	+	0.353004i	$0.114840\pi$
$211$	−0.894115	+	6.21870i	−0.0615534	+	0.428113i	−0.997175	+	0.0751095i	$0.976069\pi$
$212$	−4.37124	+	9.57169i	−0.300218	+	0.657386i
$213$	−1.43927	−	10.0104i	−0.0986174	−	0.685899i
$214$	20.5448	+	6.03251i	1.40442	+	0.412374i
$215$	−3.35873	+	2.15852i	−0.229063	+	0.147210i
$216$	−1.38526	−	3.03330i	−0.0942552	−	0.206390i
$217$	2.38096	−	0.699113i	0.161630	−	0.0474589i
$218$	−18.1588	+	20.9564i	−1.22987	+	1.41934i
$219$	−8.41096	+	9.70676i	−0.568360	+	0.655922i
$220$	1.03946	−	0.305213i	0.0700804	−	0.0205775i
$221$	−12.3194	−	26.9758i	−0.828694	−	1.81459i
$222$	7.48702	−	4.81162i	0.502496	−	0.322935i
$223$	−9.60444	−	2.82012i	−0.643161	−	0.188849i	−0.0561426	−	0.998423i	$-0.517880\pi$
$223$	−9.60444	−	2.82012i	−0.643161	−	0.188849i	−0.587018	+	0.809574i	$0.699698\pi$
$224$	−0.759943	−	5.28552i	−0.0507759	−	0.353154i
$225$	0.415415	−	0.909632i	0.0276943	−	0.0606421i
$226$	0.155144	−	1.07905i	0.0103200	−	0.0717775i
$227$	−2.47992	−	1.59375i	−0.164598	−	0.105781i	0.455749	−	0.890109i	$-0.349372\pi$
$227$	−2.47992	−	1.59375i	−0.164598	−	0.105781i	−0.620346	+	0.784328i	$0.713008\pi$
$228$	4.16752	+	4.80957i	0.276000	+	0.318521i
$229$	4.59017			0.303327			0.151663	−	0.988432i	$-0.451537\pi$
$229$	4.59017			0.303327			0.151663	+	0.988432i	$0.451537\pi$
$230$	9.30146	−	6.19628i	0.613320	−	0.408570i
$231$	0.370564			0.0243813
$232$	4.06841	+	4.69519i	0.267104	+	0.308255i
$233$	21.5295	+	13.8362i	1.41044	+	0.906438i	0.999985	−	0.00544151i	$-0.00173210\pi$
$233$	21.5295	+	13.8362i	1.41044	+	0.906438i	0.410459	+	0.911879i	$0.365368\pi$
$234$	1.57951	−	10.9857i	0.103256	−	0.718161i
$235$	0.437322	−	0.957601i	0.0285277	−	0.0624670i
$236$	6.57073	+	45.7004i	0.427718	+	2.97484i
$237$	−14.9341	−	4.38504i	−0.970073	−	0.284839i
$238$	−14.3266	+	9.20712i	−0.928653	+	0.596809i
$239$	4.68650	+	10.2620i	0.303144	+	0.663794i	0.998493	−	0.0548789i	$-0.0174773\pi$
$239$	4.68650	+	10.2620i	0.303144	+	0.663794i	−0.695349	+	0.718673i	$0.744750\pi$
$240$	−0.872506	+	0.256191i	−0.0563200	+	0.0165370i
$241$	−11.7985	+	13.6162i	−0.760007	+	0.877095i	−0.995498	−	0.0947814i	$-0.969785\pi$
$241$	−11.7985	+	13.6162i	−0.760007	+	0.877095i	0.235491	+	0.971877i	$0.424330\pi$
$242$	16.6350	−	19.1979i	1.06934	−	1.23408i
$243$	0.959493	−	0.281733i	0.0615515	−	0.0180732i
$244$	15.4955	+	33.9305i	0.991999	+	2.17218i
$245$	4.73016	−	3.03989i	0.302199	−	0.194211i
$246$	2.79078	+	0.819448i	0.177934	+	0.0522461i
$247$	1.25720	+	8.74403i	0.0799938	+	0.556369i
$248$	2.92911	−	6.41386i	0.185999	−	0.407281i
$249$	0.286433	−	1.99218i	0.0181519	−	0.126249i
$250$	−1.96048	−	1.25993i	−0.123992	−	0.0796848i
$251$	13.5379	+	15.6236i	0.854505	+	0.986151i	0.999995	−	0.00320851i	$-0.00102130\pi$
$251$	13.5379	+	15.6236i	0.854505	+	0.986151i	−0.145490	+	0.989360i	$0.546476\pi$
$252$	−4.02639			−0.253639
$253$	−0.606326	+	1.38765i	−0.0381194	+	0.0872406i
$254$	−1.87116			−0.117407
$255$	−4.07775	−	4.70598i	−0.255359	−	0.294700i
$256$	−18.0136	−	11.5767i	−1.12585	−	0.723541i
$257$	3.25106	−	22.6116i	0.202795	−	1.41047i	−0.593144	−	0.805096i	$-0.702113\pi$
$257$	3.25106	−	22.6116i	0.202795	−	1.41047i	0.795939	−	0.605376i	$-0.206977\pi$
$258$	−3.86515	+	8.46350i	−0.240634	+	0.526915i
$259$	−0.637827	−	4.43618i	−0.0396326	−	0.275651i
$260$	−15.6779	−	4.60345i	−0.972302	−	0.285494i
$261$	−1.56730	+	1.00724i	−0.0970136	+	0.0623468i
$262$	−8.57513	−	18.7769i	−0.529773	−	1.16004i
$263$	−17.4078	+	5.11139i	−1.07341	+	0.315182i	−0.770240	−	0.637755i	$-0.779863\pi$
$263$	−17.4078	+	5.11139i	−1.07341	+	0.315182i	−0.303171	+	0.952936i	$0.598045\pi$
$264$	0.689534	−	0.795764i	0.0424379	−	0.0489759i
$265$	−2.00845	+	2.31788i	−0.123378	+	0.142386i
$266$	4.86747	−	1.42922i	0.298444	−	0.0876310i
$267$	3.61870	+	7.92385i	0.221461	+	0.484932i
$268$	−0.126601	+	0.0813612i	−0.00773336	+	0.00496993i
$269$	−14.0210	−	4.11693i	−0.854875	−	0.251014i	−0.175205	−	0.984532i	$-0.556059\pi$
$269$	−14.0210	−	4.11693i	−0.854875	−	0.251014i	−0.679670	+	0.733518i	$0.737877\pi$
$270$	−0.331655	−	2.30671i	−0.0201839	−	0.140382i
$271$	−13.1133	+	28.7141i	−0.796574	+	1.74425i	−0.139783	+	0.990182i	$0.544641\pi$
$271$	−13.1133	+	28.7141i	−0.796574	+	1.74425i	−0.656791	+	0.754072i	$0.728087\pi$
$272$	−0.805840	+	5.60474i	−0.0488612	+	0.339837i
$273$	−4.70186	−	3.02170i	−0.284569	−	0.182882i
$274$	23.7967	+	27.4628i	1.43761	+	1.65909i
$275$	0.315760			0.0190410
$276$	6.58808	−	15.0776i	0.396556	−	0.907565i
$277$	5.36239			0.322195			0.161097	−	0.986939i	$-0.448497\pi$
$277$	5.36239			0.322195			0.161097	+	0.986939i	$0.448497\pi$
$278$	15.4683	+	17.8514i	0.927728	+	1.07066i
$279$	1.77882	+	1.14318i	0.106495	+	0.0684401i
$280$	−0.556938	+	3.87359i	−0.0332834	+	0.231491i
$281$	12.1744	−	26.6583i	0.726266	−	1.59030i	−0.0786437	−	0.996903i	$-0.525059\pi$
$281$	12.1744	−	26.6583i	0.726266	−	1.59030i	0.804910	−	0.593398i	$-0.202214\pi$
$282$	−0.349145	−	2.42836i	−0.0207913	−	0.144606i
$283$	4.31988	+	1.26843i	0.256790	+	0.0754004i	0.407594	−	0.913163i	$-0.366368\pi$
$283$	4.31988	+	1.26843i	0.256790	+	0.0754004i	−0.150804	+	0.988564i	$0.548186\pi$
$284$	−29.1897	+	18.7591i	−1.73209	+	1.11315i
$285$	0.770550	+	1.68727i	0.0456434	+	0.0999452i
$286$	3.36257	−	0.987339i	0.198833	−	0.0583826i
$287$	0.959188	−	1.10696i	0.0566191	−	0.0653419i
$288$	2.97971	−	3.43876i	0.175581	−	0.202631i
$289$	−20.8923	+	6.13453i	−1.22896	+	0.360855i
$290$	1.80362	+	3.94937i	0.105912	+	0.231915i
$291$	11.5507	−	7.42317i	0.677113	−	0.435154i
$292$	42.2813	+	12.4149i	2.47432	+	0.726527i
$293$	2.82650	+	19.6587i	0.165126	+	1.14848i	0.888787	+	0.458320i	$0.151549\pi$
$293$	2.82650	+	19.6587i	0.165126	+	1.14848i	−0.723661	+	0.690155i	$0.757542\pi$
$294$	5.44336	−	11.9193i	0.317463	−	0.695148i
$295$	−1.91515	+	13.3202i	−0.111505	+	0.775531i
$296$	−10.7133	−	6.88501i	−0.622697	−	0.400183i
$297$	0.206779	+	0.238635i	0.0119985	+	0.0138470i
$298$	−25.3701			−1.46965
$299$	19.0086	−	12.6628i	1.09930	−	0.732310i
$300$	−3.43091			−0.198084
$301$	3.06834	+	3.54105i	0.176856	+	0.204103i
$302$	40.6256	+	26.1085i	2.33774	+	1.50237i
$303$	1.67946	−	11.6809i	0.0964825	−	0.671050i
$304$	0.700692	−	1.53430i	0.0401874	−	0.0879982i
$305$	1.54726	+	10.7615i	0.0885961	+	0.616199i
$306$	−13.9236	−	4.08833i	−0.795957	−	0.233714i
$307$	23.3402	−	14.9998i	1.33210	−	0.856086i	0.335787	−	0.941938i	$-0.390998\pi$
$307$	23.3402	−	14.9998i	1.33210	−	0.856086i	0.996308	+	0.0858520i	$0.0273612\pi$
$308$	−0.528147	−	1.15648i	−0.0300940	−	0.0658967i
$309$	10.8082	−	3.17356i	0.614854	−	0.180538i
$310$	3.22693	−	3.72407i	0.183277	−	0.211513i
$311$	21.4456	−	24.7495i	1.21607	−	1.40342i	0.327385	−	0.944891i	$-0.393833\pi$
$311$	21.4456	−	24.7495i	1.21607	−	1.40342i	0.888682	−	0.458524i	$-0.151622\pi$
$312$	−15.2380	+	4.47428i	−0.862682	+	0.253306i
$313$	−5.45494	−	11.9447i	−0.308332	−	0.675152i	0.690507	−	0.723325i	$-0.257387\pi$
$313$	−5.45494	−	11.9447i	−0.308332	−	0.675152i	−0.998839	+	0.0481734i	$0.984660\pi$
$314$	−41.0900	+	26.4069i	−2.31884	+	1.49023i
$315$	−1.12603	−	0.330631i	−0.0634444	−	0.0186289i
$316$	7.59970	+	52.8571i	0.427517	+	2.97344i
$317$	−6.81146	+	14.9150i	−0.382570	+	0.837711i	0.616174	+	0.787610i	$0.288682\pi$
$317$	−6.81146	+	14.9150i	−0.382570	+	0.837711i	−0.998744	+	0.0501014i	$0.984046\pi$
$318$	−1.01718	+	7.07467i	−0.0570409	+	0.396728i
$319$	−0.494891	−	0.318047i	−0.0277086	−	0.0178072i
$320$	−8.13499	−	9.38827i	−0.454760	−	0.524820i
$321$	9.18807			0.512828
$322$	−8.75120	−	9.76987i	−0.487685	−	0.544454i
$323$	11.5502			0.642672
$324$	−2.24677	−	2.59291i	−0.124821	−	0.144051i
$325$	−4.00648	−	2.57481i	−0.222240	−	0.142825i
$326$	−1.83023	+	12.7295i	−0.101367	+	0.705022i
$327$	−4.94292	+	10.8235i	−0.273344	+	0.598541i
$328$	−0.592309	−	4.11960i	−0.0327048	−	0.227467i
$329$	−1.18541	−	0.348067i	−0.0653536	−	0.0191895i
$330$	0.619042	−	0.397834i	0.0340771	−	0.0219000i
$331$	6.17856	+	13.5292i	0.339604	+	0.743630i	0.999973	−	0.00731135i	$-0.00232730\pi$
$331$	6.17856	+	13.5292i	0.339604	+	0.743630i	−0.660369	+	0.750941i	$0.729600\pi$
$332$	−6.62558	+	1.94545i	−0.363626	+	0.106770i
$333$	2.50089	−	2.88618i	0.137048	−	0.158162i
$334$	35.0959	−	40.5029i	1.92036	−	2.21622i
$335$	−0.0420863	+	0.0123576i	−0.00229942	+	0.000675170i
$336$	0.443318	+	0.970731i	0.0241850	+	0.0529577i
$337$	−6.65466	+	4.27669i	−0.362503	+	0.232966i	−0.709195	−	0.705013i	$-0.750941\pi$
$337$	−6.65466	+	4.27669i	−0.362503	+	0.232966i	0.346692	+	0.937979i	$0.387305\pi$
$338$	−21.6482	−	6.35649i	−1.17751	−	0.345748i
$339$	−0.0665732	−	0.463027i	−0.00361576	−	0.0251482i
$340$	−8.87491	+	19.4333i	−0.481310	+	1.05392i
$341$	−0.0950191	+	0.660872i	−0.00514557	+	0.0357882i
$342$	3.63649	+	2.33703i	0.196639	+	0.126372i
$343$	−9.70084	−	11.1954i	−0.523796	−	0.604493i
$344$	13.3137			0.717825
$345$	3.08054	−	3.67563i	0.165851	−	0.197889i
$346$	27.5253			1.47977
$347$	−10.2908	−	11.8762i	−0.552438	−	0.637547i	0.409012	−	0.912529i	$-0.365874\pi$
$347$	−10.2908	−	11.8762i	−0.552438	−	0.637547i	−0.961449	+	0.274982i	$0.911328\pi$
$348$	5.37728	+	3.45577i	0.288252	+	0.185249i
$349$	4.31663	−	30.0228i	0.231064	−	1.60708i	−0.462453	−	0.886644i	$-0.653031\pi$
$349$	4.31663	−	30.0228i	0.231064	−	1.60708i	0.693517	−	0.720441i	$-0.256060\pi$
$350$	−1.13612	+	2.48776i	−0.0607283	+	0.132976i
$351$	−0.677776	−	4.71404i	−0.0361770	−	0.251617i
$352$	1.37855	+	0.404779i	0.0734770	+	0.0215748i
$353$	−13.5925	+	8.73540i	−0.723458	+	0.464938i	−0.849838	−	0.527044i	$-0.823300\pi$
$353$	−13.5925	+	8.73540i	−0.723458	+	0.464938i	0.126380	+	0.991982i	$0.459664\pi$
$354$	13.0278	+	28.5270i	0.692421	+	1.51619i
$355$	−9.70365	+	2.84925i	−0.515016	+	0.151222i
$356$	19.5717	−	22.5870i	1.03730	−	1.19711i
$357$	−4.78550	+	5.52276i	−0.253276	+	0.292296i
$358$	25.8014	−	7.57598i	1.36365	−	0.400403i
$359$	−11.3183	−	24.7836i	−0.597356	−	1.30803i	−0.930894	−	0.365291i	$-0.880970\pi$
$359$	−11.3183	−	24.7836i	−0.597356	−	1.30803i	0.333537	−	0.942737i	$-0.391758\pi$
$360$	−2.80528	+	1.80285i	−0.147851	+	0.0950183i
$361$	14.9291	+	4.38358i	0.785743	+	0.230715i
$362$	−0.757817	−	5.27073i	−0.0398300	−	0.277024i
$363$	4.52815	−	9.91526i	0.237666	−	0.520416i
$364$	−2.72899	+	18.9806i	−0.143038	+	0.994852i
$365$	10.8050	+	6.94393i	0.565558	+	0.363462i
$366$	16.5920	+	19.1482i	0.867280	+	1.00089i
$367$	−32.4179			−1.69220			−0.846099	−	0.533025i	$-0.821055\pi$
$367$	−32.4179			−1.69220			−0.846099	+	0.533025i	$0.821055\pi$
$368$	−4.36045	+	0.0717548i	−0.227304	+	0.00374048i
$369$	1.24810			0.0649733
$370$	−5.82816	−	6.72605i	−0.302992	−	0.349671i
$371$	3.02793	+	1.94594i	0.157203	+	0.101028i
$372$	1.03244	−	7.18076i	0.0535294	−	0.372305i
$373$	10.9204	−	23.9123i	0.565435	−	1.23813i	−0.383758	−	0.923434i	$-0.625370\pi$
$373$	10.9204	−	23.9123i	0.565435	−	1.23813i	0.949193	−	0.314696i	$-0.101902\pi$
$374$	−0.652102	−	4.53547i	−0.0337194	−	0.234523i
$375$	−0.959493	−	0.281733i	−0.0495480	−	0.0145486i
$376$	−2.95322	+	1.89792i	−0.152301	+	0.0978777i
$377$	3.68591	+	8.07101i	0.189834	+	0.415678i
$378$	−2.62413	+	0.770513i	−0.134971	+	0.0396309i
$379$	−24.6896	+	28.4933i	−1.26822	+	1.46360i	−0.445368	+	0.895347i	$0.646927\pi$
$379$	−24.6896	+	28.4933i	−1.26822	+	1.46360i	−0.822852	+	0.568256i	$0.807618\pi$
$380$	4.16752	−	4.80957i	0.213789	−	0.246726i
$381$	−0.770398	+	0.226209i	−0.0394687	+	0.0115891i
$382$	17.1697	+	37.5965i	0.878481	+	1.92360i
$383$	0.0869806	−	0.0558991i	0.00444450	−	0.00285631i	−0.538417	−	0.842679i	$-0.680977\pi$
$383$	0.0869806	−	0.0558991i	0.00444450	−	0.00285631i	0.542861	+	0.839822i	$0.317341\pi$
$384$	−19.0454	−	5.59223i	−0.971906	−	0.285377i
$385$	−0.0527368	−	0.366792i	−0.00268771	−	0.0186935i
$386$	−3.38115	+	7.40369i	−0.172096	+	0.376838i
$387$	−0.568196	+	3.95189i	−0.0288830	+	0.200886i
$388$	−39.6294	−	25.4683i	−2.01188	−	1.29296i
$389$	−7.60642	−	8.77828i	−0.385661	−	0.445076i	0.529412	−	0.848365i	$-0.322413\pi$
$389$	−7.60642	−	8.77828i	−0.385661	−	0.445076i	−0.915073	+	0.403289i	$0.867867\pi$
$390$	−11.0987			−0.562005
$391$	−12.8509	−	26.9567i	−0.649897	−	1.36326i
$392$	−18.7499			−0.947012
$393$	−5.80058	−	6.69422i	−0.292600	−	0.337679i
$394$	−3.25345	−	2.09086i	−0.163906	−	0.105336i
$395$	−2.21507	+	15.4061i	−0.111452	+	0.775166i
$396$	0.450037	−	0.985444i	0.0226152	−	0.0495204i
$397$	3.84479	+	26.7411i	0.192965	+	1.34210i	0.824108	+	0.566433i	$0.191677\pi$
$397$	3.84479	+	26.7411i	0.192965	+	1.34210i	−0.631143	+	0.775666i	$0.717414\pi$
$398$	−13.7419	−	4.03499i	−0.688819	−	0.202256i
$399$	1.83127	−	1.17688i	0.0916781	−	0.0589179i
$400$	0.377754	+	0.827165i	0.0188877	+	0.0413583i
$401$	−35.8762	+	10.5342i	−1.79157	+	0.526054i	−0.996733	−	0.0807638i	$-0.974264\pi$
$401$	−35.8762	+	10.5342i	−1.79157	+	0.526054i	−0.794841	+	0.606818i	$0.792446\pi$
$402$	−0.0669398	+	0.0772526i	−0.00333865	+	0.00385301i
$403$	6.59461	−	7.61059i	0.328501	−	0.379110i
$404$	−38.8482	+	11.4069i	−1.93277	+	0.567513i
$405$	−0.415415	−	0.909632i	−0.0206421	−	0.0452000i
$406$	4.28643	−	2.75472i	0.212732	−	0.136715i
$407$	1.15703	+	0.339734i	0.0573518	+	0.0168400i
$408$	2.95510	+	20.5532i	0.146299	+	1.01753i
$409$	−1.15566	+	2.53055i	−0.0571439	+	0.125128i	−0.936050	−	0.351867i	$-0.885547\pi$
$409$	−1.15566	+	2.53055i	−0.0571439	+	0.125128i	0.878906	+	0.476995i	$0.158274\pi$
$410$	0.413937	−	2.87900i	0.0204429	−	0.142184i
$411$	13.1177	+	8.43023i	0.647048	+	0.415833i
$412$	−25.3086	−	29.2077i	−1.24687	−	1.43896i
$413$	15.7928			0.777114
$414$	1.40833	−	11.0873i	0.0692155	−	0.544910i
$415$	−2.01267			−0.0987980
$416$	−14.1909	−	16.3772i	−0.695766	−	0.802956i
$417$	8.52677	+	5.47982i	0.417558	+	0.268348i
$418$	−0.194250	+	1.35104i	−0.00950109	+	0.0660816i
$419$	2.22318	−	4.86809i	0.108610	−	0.237822i	−0.847521	−	0.530761i	$-0.821906\pi$
$419$	2.22318	−	4.86809i	0.108610	−	0.237822i	0.956131	+	0.292939i	$0.0946334\pi$
$420$	0.573016	+	3.98541i	0.0279603	+	0.194468i
$421$	−22.7839	−	6.68996i	−1.11042	−	0.326049i	−0.325436	−	0.945564i	$-0.605511\pi$
$421$	−22.7839	−	6.68996i	−1.11042	−	0.326049i	−0.784985	+	0.619515i	$0.787329\pi$
$422$	12.3170	−	7.91568i	0.599584	−	0.385329i
$423$	−0.437322	−	0.957601i	−0.0212633	−	0.0465602i
$424$	9.81306	−	2.88138i	0.476564	−	0.139932i
$425$	−4.07775	+	4.70598i	−0.197800	+	0.228273i
$426$	−15.4340	+	17.8118i	−0.747780	+	0.862984i
$427$	12.2423	−	3.59466i	0.592446	−	0.173958i
$428$	−13.0953	−	28.6748i	−0.632986	−	1.38605i
$429$	1.26509	−	0.813021i	0.0610789	−	0.0392530i
$430$	8.92742	+	2.62133i	0.430519	+	0.126412i
$431$	−1.75468	−	12.2041i	−0.0845201	−	0.587850i	−0.987434	−	0.158029i	$-0.949486\pi$
$431$	−1.75468	−	12.2041i	−0.0845201	−	0.587850i	0.902914	−	0.429821i	$-0.141423\pi$
$432$	−0.377754	+	0.827165i	−0.0181747	+	0.0397970i
$433$	2.47649	−	17.2244i	0.119013	−	0.827752i	−0.839634	−	0.543153i	$-0.817230\pi$
$433$	2.47649	−	17.2244i	0.119013	−	0.827752i	0.958647	−	0.284599i	$-0.0918604\pi$
$434$	−4.86490	−	3.12648i	−0.233523	−	0.150076i
$435$	1.22004	+	1.40800i	0.0584965	+	0.0675086i
$436$	40.8236			1.95510
$437$	1.41070	+	8.78318i	0.0674831	+	0.420156i
$438$	29.9318			1.43020
$439$	−0.828015	−	0.955581i	−0.0395190	−	0.0456074i	0.735646	−	0.677366i	$-0.236879\pi$
$439$	−0.828015	−	0.955581i	−0.0395190	−	0.0456074i	−0.775165	+	0.631759i	$0.782333\pi$
$440$	−0.885795	−	0.569266i	−0.0422286	−	0.0271387i
$441$	0.800201	−	5.56552i	0.0381048	−	0.265025i
$442$	−28.7096	+	62.8652i	−1.36558	+	2.99019i
$443$	−5.45521	−	37.9418i	−0.259185	−	1.80267i	−0.538665	−	0.842520i	$-0.681071\pi$
$443$	−5.45521	−	37.9418i	−0.259185	−	1.80267i	0.279480	−	0.960151i	$-0.409838\pi$
$444$	−12.5718	−	3.69141i	−0.596631	−	0.175187i
$445$	7.32820	−	4.70955i	0.347390	−	0.223254i
$446$	9.69056	+	21.2194i	0.458861	+	1.00477i
$447$	−10.4455	+	3.06707i	−0.494054	+	0.145067i
$448$	−9.54692	+	11.0177i	−0.451050	+	0.520539i
$449$	−8.41396	+	9.71022i	−0.397079	+	0.458254i	−0.918719	−	0.394912i	$-0.870775\pi$
$449$	−8.41396	+	9.71022i	−0.397079	+	0.458254i	0.521640	+	0.853166i	$0.325320\pi$
$450$	−2.23603	+	0.656559i	−0.105408	+	0.0309505i
$451$	0.163714	+	0.358485i	0.00770901	+	0.0168804i
$452$	−1.35016	+	0.867697i	−0.0635063	+	0.0408130i
$453$	19.8828	+	5.83812i	0.934176	+	0.274299i
$454$	0.977681	+	6.79992i	0.0458848	+	0.319136i
$455$	−2.32180	+	5.08403i	−0.108848	+	0.238343i
$456$	0.880275	−	6.12245i	0.0412227	−	0.286710i
$457$	0.204700	+	0.131553i	0.00957546	+	0.00615378i	0.545420	−	0.838163i	$-0.316370\pi$
$457$	0.204700	+	0.131553i	0.00957546	+	0.00615378i	−0.535844	+	0.844317i	$0.680007\pi$
$458$	−7.00510	−	8.08431i	−0.327327	−	0.377755i
$459$	−6.22690			−0.290647
$460$	−15.8617	−	4.37526i	−0.739556	−	0.203998i
$461$	17.3740			0.809186			0.404593	−	0.914497i	$-0.367413\pi$
$461$	17.3740			0.809186			0.404593	+	0.914497i	$0.367413\pi$
$462$	−0.565521	−	0.652646i	−0.0263104	−	0.0303638i
$463$	−17.5053	−	11.2500i	−0.813540	−	0.522830i	0.0664685	−	0.997789i	$-0.478827\pi$
$463$	−17.5053	−	11.2500i	−0.813540	−	0.522830i	−0.880008	+	0.474958i	$0.842463\pi$
$464$	0.241103	−	1.67691i	0.0111929	−	0.0778485i
$465$	0.878388	−	1.92340i	0.0407342	−	0.0891956i
$466$	−8.48777	−	59.0337i	−0.393188	−	2.73469i
$467$	29.2952	+	8.60184i	1.35562	+	0.398046i	0.877216	−	0.480095i	$-0.159398\pi$
$467$	29.2952	+	8.60184i	1.35562	+	0.398046i	0.478403	+	0.878141i	$0.341216\pi$
$468$	−13.7459	+	8.83395i	−0.635404	+	0.408349i
$469$	0.0213839	+	0.0468243i	0.000987418	+	0.00216214i
$470$	−2.35395	+	0.691182i	−0.108580	+	0.0318819i
$471$	−13.7253	+	15.8398i	−0.632428	+	0.729861i
$472$	29.3868	−	33.9142i	1.35264	−	1.56103i
$473$	−1.20961	+	0.355174i	−0.0556180	+	0.0163309i
$474$	15.0680	+	32.9943i	0.692096	+	1.51548i
$475$	1.56043	−	1.00283i	0.0715976	−	0.0460130i
$476$	24.0564	+	7.06359i	1.10262	+	0.323759i
$477$	0.436479	+	3.03578i	0.0199850	+	0.138999i
$478$	10.9216	−	23.9149i	0.499541	−	1.09384i
$479$	0.357888	−	2.48916i	0.0163523	−	0.113733i	−0.980010	−	0.198946i	$-0.936248\pi$
$479$	0.357888	−	2.48916i	0.0163523	−	0.113733i	0.996363	+	0.0852134i	$0.0271572\pi$
$480$	−3.82782	−	2.45999i	−0.174715	−	0.112283i
$481$	−11.9105	−	13.7455i	−0.543073	−	0.626740i
$482$	41.9869			1.91245
$483$	−4.78418	−	2.96453i	−0.217688	−	0.134891i
$484$	−37.3980			−1.69991
$485$	−8.99145	−	10.3767i	−0.408281	−	0.471181i
$486$	−1.96048	−	1.25993i	−0.0889294	−	0.0571514i
$487$	−1.12612	+	7.83231i	−0.0510292	+	0.354916i	0.948269	+	0.317467i	$0.102832\pi$
$487$	−1.12612	+	7.83231i	−0.0510292	+	0.354916i	−0.999299	+	0.0374490i	$0.988077\pi$
$488$	15.0607	−	32.9784i	0.681768	−	1.49286i
$489$	0.785359	+	5.46229i	0.0355152	+	0.247013i
$490$	−12.5727	−	3.69166i	−0.567975	−	0.166772i
$491$	16.2383	−	10.4357i	0.732825	−	0.470958i	−0.120252	−	0.992743i	$-0.538370\pi$
$491$	16.2383	−	10.4357i	0.732825	−	0.470958i	0.853077	+	0.521786i	$0.174734\pi$
$492$	−1.77885	−	3.89514i	−0.0801969	−	0.175607i
$493$	11.1311	−	3.26840i	0.501321	−	0.147201i
$494$	13.4816	−	15.5585i	0.606564	−	0.700012i
$495$	0.206779	−	0.238635i	0.00929401	−	0.0107259i
$496$	−1.84490	+	0.541711i	−0.0828383	+	0.0243235i
$497$	4.93040	+	10.7961i	0.221159	+	0.484270i
$498$	−3.94580	+	2.53581i	−0.176816	+	0.113633i
$499$	12.1857	+	3.57806i	0.545509	+	0.160176i	0.542864	−	0.839821i	$-0.317340\pi$
$499$	12.1857	+	3.57806i	0.545509	+	0.160176i	0.00264500	+	0.999997i	$0.499158\pi$
$500$	0.488270	+	3.39599i	0.0218361	+	0.151873i
$501$	9.55330	−	20.9188i	0.426810	−	0.934583i
$502$	6.85629	−	47.6865i	0.306011	−	2.12835i
$503$	21.2733	+	13.6715i	0.948531	+	0.609584i	0.920801	−	0.390032i	$-0.127536\pi$
$503$	21.2733	+	13.6715i	0.948531	+	0.609584i	0.0277294	+	0.999615i	$0.491172\pi$
$504$	2.56274	+	2.95756i	0.114154	+	0.131740i
$505$	−11.8010			−0.525138
$506$	3.36928	−	1.04983i	0.149783	−	0.0466704i
$507$	−9.68153			−0.429972
$508$	1.80398	+	2.08191i	0.0800387	+	0.0923696i
$509$	23.0315	+	14.8015i	1.02085	+	0.656063i	0.940180	−	0.340678i	$-0.110656\pi$
$509$	23.0315	+	14.8015i	1.02085	+	0.656063i	0.0806736	+	0.996741i	$0.474293\pi$
$510$	−2.06518	+	14.3637i	−0.0914479	+	0.636034i
$511$	6.26160	−	13.7110i	0.276997	−	0.606538i
$512$	1.45194	+	10.0984i	0.0641671	+	0.446292i
$513$	1.77976	+	0.522583i	0.0785781	+	0.0230726i
$514$	−44.7855	+	28.7819i	−1.97541	+	1.26952i
$515$	−4.67942	−	10.2465i	−0.206200	−	0.451515i
$516$	13.1431	−	3.85918i	0.578595	−	0.169891i
$517$	0.217683	−	0.251220i	0.00957369	−	0.0110486i
$518$	−6.83971	+	7.89345i	−0.300520	+	0.346818i
$519$	11.3328	−	3.32761i	0.497455	−	0.146066i
$520$	6.59733	+	14.4461i	0.289312	+	0.633505i
$521$	16.2119	−	10.4188i	0.710256	−	0.456454i	−0.134979	−	0.990848i	$-0.543097\pi$
$521$	16.2119	−	10.4188i	0.710256	−	0.456454i	0.845235	+	0.534395i	$0.179460\pi$
$522$	4.16585	+	1.22321i	0.182334	+	0.0535382i
$523$	3.17369	+	22.0735i	0.138776	+	0.965207i	0.933587	+	0.358350i	$0.116661\pi$
$523$	3.17369	+	22.0735i	0.138776	+	0.965207i	−0.794811	+	0.606857i	$0.792430\pi$
$524$	−12.6245	+	27.6438i	−0.551504	+	1.20762i
$525$	−0.167015	+	1.16162i	−0.00728915	+	0.0506972i
$526$	35.5685	+	22.8585i	1.55086	+	0.996677i
$527$	−8.62234	−	9.95071i	−0.375595	−	0.433460i
$528$	−0.287133			−0.0124959
$529$	18.9292	−	13.0646i	0.823009	−	0.568028i
$530$	7.14742			0.310464
$531$	8.81256	+	10.1702i	0.382433	+	0.441351i
$532$	−6.28292	−	4.03779i	−0.272399	−	0.175060i
$533$	0.845930	−	5.88357i	0.0366413	−	0.254846i
$534$	8.43313	−	18.4660i	0.364937	−	0.799101i
$535$	−1.30760	−	9.09455i	−0.0565324	−	0.393192i
$536$	0.140343	+	0.0412084i	0.00606189	+	0.00177993i
$537$	9.70717	−	6.23842i	0.418895	−	0.269208i
$538$	14.1467	+	30.9770i	0.609908	+	1.33551i
$539$	1.70352	−	0.500198i	0.0733758	−	0.0215451i
$540$	−2.24677	+	2.59291i	−0.0966856	+	0.111581i
$541$	−14.9154	+	17.2133i	−0.641265	+	0.740059i	−0.979598	−	0.200967i	$-0.935592\pi$
$541$	−14.9154	+	17.2133i	−0.641265	+	0.740059i	0.338333	+	0.941026i	$0.390137\pi$
$542$	70.5841	−	20.7254i	3.03185	−	0.890231i
$543$	−0.949205	−	2.07847i	−0.0407343	−	0.0891956i
$544$	−23.8355	+	15.3181i	−1.02194	+	0.656759i
$545$	11.4168	+	3.35227i	0.489041	+	0.143595i
$546$	1.85366	+	12.8925i	0.0793292	+	0.551747i
$547$	−3.52130	+	7.71057i	−0.150560	+	0.329680i	−0.969851	−	0.243697i	$-0.921640\pi$
$547$	−3.52130	+	7.71057i	−0.150560	+	0.329680i	0.819292	+	0.573377i	$0.194367\pi$
$548$	7.61361	−	52.9538i	0.325237	−	2.26207i
$549$	9.14621	+	5.87791i	0.390351	+	0.250863i
$550$	−0.481883	−	0.556123i	−0.0205476	−	0.0237132i
$551$	−3.45577			−0.147221
$552$	−15.2684	+	4.75744i	−0.649866	+	0.202490i
$553$	18.2660			0.776749
$554$	−8.18359	−	9.44436i	−0.347687	−	0.401253i
$555$	−3.21272	−	2.06469i	−0.136372	−	0.0876412i
$556$	4.94900	−	34.4211i	0.209884	−	1.45978i
$557$	5.02213	−	10.9969i	0.212794	−	0.465955i	−0.772893	−	0.634536i	$-0.781191\pi$
$557$	5.02213	−	10.9969i	0.212794	−	0.465955i	0.985688	+	0.168581i	$0.0539186\pi$
$558$	−0.701279	−	4.87750i	−0.0296875	−	0.206481i
$559$	18.2442	+	5.35699i	0.771649	+	0.226577i
$560$	0.897759	−	0.576955i	0.0379373	−	0.0243808i
$561$	−0.816791	−	1.78852i	−0.0344849	−	0.0755115i
$562$	−65.5307	+	19.2416i	−2.76425	+	0.811656i
$563$	−9.14628	+	10.5554i	−0.385470	+	0.444856i	−0.915011	−	0.403428i	$-0.867819\pi$
$563$	−9.14628	+	10.5554i	−0.385470	+	0.444856i	0.529541	+	0.848284i	$0.322364\pi$
$564$	−2.36525	+	2.72965i	−0.0995951	+	0.114939i
$565$	−0.448840	+	0.131791i	−0.0188828	+	0.00554450i
$566$	−4.35862	−	9.54404i	−0.183206	−	0.401166i
$567$	−0.987264	+	0.634476i	−0.0414612	+	0.0266455i
$568$	32.3582	+	9.50123i	1.35772	+	0.398663i
$569$	3.32465	+	23.1235i	0.139377	+	0.969385i	0.932718	+	0.360608i	$0.117431\pi$
$569$	3.32465	+	23.1235i	0.139377	+	0.969385i	−0.793341	+	0.608778i	$0.791660\pi$
$570$	1.79571	−	3.93206i	0.0752142	−	0.164696i
$571$	−3.23994	+	22.5343i	−0.135587	+	0.943031i	0.802505	+	0.596645i	$0.203500\pi$
$571$	−3.23994	+	22.5343i	−0.135587	+	0.943031i	−0.938092	+	0.346385i	$0.887409\pi$
$572$	−4.34040	−	2.78940i	−0.181481	−	0.116631i
$573$	11.6143	+	13.4037i	0.485196	+	0.559946i
$574$	−3.41343			−0.142474
$575$	−4.07663	−	2.52609i	−0.170007	−	0.105345i
$576$	−12.4225			−0.517603
$577$	−5.44893	−	6.28840i	−0.226842	−	0.261790i	0.630907	−	0.775859i	$-0.282683\pi$
$577$	−5.44893	−	6.28840i	−0.226842	−	0.261790i	−0.857749	+	0.514069i	$0.828138\pi$
$578$	42.6882	+	27.4340i	1.77559	+	1.14111i
$579$	−0.497045	+	3.45703i	−0.0206565	+	0.143669i
$580$	2.65533	−	5.81435i	0.110256	−	0.241428i
$581$	0.336147	+	2.33795i	0.0139457	+	0.0969946i
$582$	−30.7015	−	9.01476i	−1.27262	−	0.373674i
$583$	−0.814698	+	0.523574i	−0.0337413	+	0.0216842i
$584$	−17.7921	−	38.9594i	−0.736244	−	1.61215i
$585$	−4.56960	+	1.34176i	−0.188930	+	0.0554747i
$586$	30.3099	−	34.9795i	1.25209	−	1.44499i
$587$	18.1030	−	20.8920i	0.747193	−	0.862306i	−0.247100	−	0.968990i	$-0.579478\pi$
$587$	18.1030	−	20.8920i	0.747193	−	0.862306i	0.994293	+	0.106684i	$0.0340232\pi$
$588$	−18.5097	+	5.43495i	−0.763329	+	0.224134i
$589$	1.62931	+	3.56770i	0.0671347	+	0.147004i
$590$	26.3825	−	16.9550i	1.08615	−	0.698028i
$591$	−1.59229	−	0.467539i	−0.0654981	−	0.0192320i
$592$	0.494223	+	3.43739i	0.0203124	+	0.141276i
$593$	−17.5197	+	38.3627i	−0.719447	+	1.57537i	0.0952314	+	0.995455i	$0.469641\pi$
$593$	−17.5197	+	38.3627i	−0.719447	+	1.57537i	−0.814678	+	0.579913i	$0.803086\pi$
$594$	0.104723	−	0.728366i	0.00429685	−	0.0298852i
$595$	6.14760	+	3.95082i	0.252027	+	0.161968i
$596$	24.4593	+	28.2276i	1.00189	+	1.15625i
$597$	−6.14566			−0.251525
$598$	−51.3113	−	14.1536i	−2.09827	−	0.578784i
$599$	1.92645			0.0787128			0.0393564	−	0.999225i	$-0.487469\pi$
$599$	1.92645			0.0787128			0.0393564	+	0.999225i	$0.487469\pi$
$600$	2.18373	+	2.52016i	0.0891504	+	0.102885i
$601$	−17.7893	−	11.4325i	−0.725640	−	0.466341i	0.124954	−	0.992162i	$-0.460122\pi$
$601$	−17.7893	−	11.4325i	−0.725640	−	0.466341i	−0.850595	+	0.525822i	$0.823758\pi$
$602$	1.55396	−	10.8081i	0.0633349	−	0.440504i
$603$	−0.0182214	+	0.0398992i	−0.000742031	+	0.00162482i
$604$	−10.1180	−	70.3725i	−0.411697	−	2.86341i
$605$	−10.4588	−	3.07097i	−0.425209	−	0.124853i
$606$	−23.1357	+	14.8684i	−0.939824	+	0.603988i
$607$	−2.71624	−	5.94774i	−0.110249	−	0.241411i	0.846463	−	0.532447i	$-0.178727\pi$
$607$	−2.71624	−	5.94774i	−0.110249	−	0.241411i	−0.956712	+	0.291036i	$0.906000\pi$
$608$	8.09813	−	2.37783i	0.328423	−	0.0964336i
$609$	1.43180	−	1.65238i	0.0580193	−	0.0669579i
$610$	16.5920	−	19.1482i	0.671792	−	0.775289i
$611$	−4.81058	+	1.41251i	−0.194615	+	0.0571441i
$612$	8.87491	+	19.4333i	0.358747	+	0.785546i
$613$	−37.6619	+	24.2038i	−1.52115	+	0.977582i	−0.529542	+	0.848284i	$0.677636\pi$
$613$	−37.6619	+	24.2038i	−1.52115	+	0.977582i	−0.991606	+	0.129299i	$0.958727\pi$
$614$	−62.0377	−	18.2159i	−2.50364	−	0.735135i
$615$	−0.177623	−	1.23539i	−0.00716243	−	0.0498158i
$616$	−0.513328	+	1.12403i	−0.0206826	+	0.0452885i
$617$	−0.272764	+	1.89712i	−0.0109811	+	0.0763751i	−0.994575	−	0.104021i	$-0.966829\pi$
$617$	−0.272764	+	1.89712i	−0.0109811	+	0.0763751i	0.983594	+	0.180396i	$0.0577381\pi$
$618$	−22.0838	−	14.1924i	−0.888339	−	0.570901i
$619$	19.5728	+	22.5883i	0.786699	+	0.907899i	0.997574	−	0.0696139i	$-0.0221767\pi$
$619$	19.5728	+	22.5883i	0.786699	+	0.907899i	−0.210875	+	0.977513i	$0.567631\pi$
$620$	−7.25461			−0.291352
$621$	−0.760531	−	4.73514i	−0.0305191	−	0.190015i
$622$	−76.3176			−3.06006
$623$	−6.69462	−	7.72600i	−0.268214	−	0.309536i
$624$	3.64325	+	2.34138i	0.145847	+	0.0937301i
$625$	−0.142315	+	0.989821i	−0.00569259	+	0.0395929i
$626$	−12.7124	+	27.8362i	−0.508089	+	1.11256i
$627$	0.0833538	+	0.579738i	0.00332883	+	0.0231525i
$628$	68.9960	+	20.2591i	2.75324	+	0.808424i
$629$	−20.0053	+	12.8566i	−0.797663	+	0.512627i
$630$	1.13612	+	2.48776i	0.0452642	+	0.0991148i
$631$	−4.83857	+	1.42073i	−0.192620	+	0.0565585i	−0.376620	−	0.926368i	$-0.622914\pi$
$631$	−4.83857	+	1.42073i	−0.192620	+	0.0565585i	0.183999	+	0.982926i	$0.441096\pi$
$632$	33.9888	−	39.2251i	1.35200	−	1.56029i
$633$	4.11426	−	4.74811i	0.163527	−	0.188721i
$634$	36.6637	−	10.7654i	1.45610	−	0.427550i
$635$	0.333546	+	0.730364i	0.0132364	+	0.0289836i
$636$	8.85217	−	5.68894i	0.351011	−	0.225581i
$637$	−25.6937	−	7.54435i	−1.01802	−	0.298918i
$638$	0.195105	+	1.35699i	0.00772429	+	0.0537236i
$639$	−4.20122	+	9.19939i	−0.166198	+	0.363922i
$640$	−2.82487	+	19.6474i	−0.111663	+	0.776632i
$641$	−19.4434	−	12.4955i	−0.767968	−	0.493543i	0.0970526	−	0.995279i	$-0.469058\pi$
$641$	−19.4434	−	12.4955i	−0.767968	−	0.493543i	−0.865021	+	0.501736i	$0.832695\pi$
$642$	−14.0220	−	16.1822i	−0.553404	−	0.638662i
$643$	−20.3579			−0.802837			−0.401419	−	0.915895i	$-0.631483\pi$
$643$	−20.3579			−0.802837			−0.401419	+	0.915895i	$0.631483\pi$
$644$	−2.43323	+	19.1560i	−0.0958827	+	0.754852i
$645$	3.99253			0.157206
$646$	−17.6269	−	20.3425i	−0.693521	−	0.800366i
$647$	14.9516	+	9.60883i	0.587810	+	0.377762i	0.800478	−	0.599362i	$-0.204579\pi$
$647$	14.9516	+	9.60883i	0.587810	+	0.377762i	−0.212668	+	0.977124i	$0.568215\pi$
$648$	−0.474570	+	3.30070i	−0.0186429	+	0.129664i
$649$	−1.76519	+	3.86523i	−0.0692899	+	0.151724i
$650$	1.57951	+	10.9857i	0.0619535	+	0.430896i
$651$	−2.38096	−	0.699113i	−0.0933172	−	0.0274004i
$652$	15.9278	−	10.2361i	0.623779	−	0.400879i
$653$	−5.15627	−	11.2906i	−0.201780	−	0.441837i	0.781507	−	0.623896i	$-0.214451\pi$
$653$	−5.15627	−	11.2906i	−0.201780	−	0.441837i	−0.983288	+	0.182059i	$0.941724\pi$
$654$	26.6060	−	7.81223i	1.04038	−	0.305483i
$655$	−5.80058	+	6.69422i	−0.226647	+	0.261565i
$656$	−0.743230	+	0.857734i	−0.0290183	+	0.0334889i
$657$	12.3236	−	3.61854i	0.480790	−	0.141173i
$658$	1.19604	+	2.61895i	0.0466263	+	0.102097i
$659$	−28.3283	+	18.2055i	−1.10351	+	0.709184i	−0.959870	−	0.280446i	$-0.909518\pi$
$659$	−28.3283	+	18.2055i	−1.10351	+	0.709184i	−0.143642	+	0.989630i	$0.545881\pi$
$660$	−1.03946	−	0.305213i	−0.0404610	−	0.0118804i
$661$	−1.96124	−	13.6407i	−0.0762834	−	0.530563i	−0.991752	−	0.128173i	$-0.959089\pi$
$661$	−1.96124	−	13.6407i	−0.0762834	−	0.530563i	0.915468	−	0.402390i	$-0.131820\pi$
$662$	14.3987	−	31.5288i	0.559622	−	1.22540i
$663$	−4.22045	+	29.3539i	−0.163909	+	1.14001i
$664$	5.64610	+	3.62853i	0.219111	+	0.140814i
$665$	−1.42552	−	1.64514i	−0.0552794	−	0.0637958i
$666$	−8.89984			−0.344862
$667$	3.84492	+	8.06530i	0.148876	+	0.312290i
$668$	−78.9007			−3.05276
$669$	6.55510	+	7.56499i	0.253435	+	0.292479i
$670$	0.0859928	+	0.0552642i	0.00332219	+	0.00213504i
$671$	−0.488564	+	3.39803i	−0.0188608	+	0.131180i
$672$	−2.21826	+	4.85732i	−0.0855714	+	0.187375i
$673$	4.43869	+	30.8718i	0.171099	+	1.19002i	0.876568	+	0.481278i	$0.159827\pi$
$673$	4.43869	+	30.8718i	0.171099	+	1.19002i	−0.705469	+	0.708741i	$0.749264\pi$
$674$	17.6879	+	5.19365i	0.681314	+	0.200052i
$675$	−0.841254	+	0.540641i	−0.0323799	+	0.0208093i
$676$	13.7986	+	30.2148i	0.530717	+	1.16211i
$677$	−40.6935	+	11.9487i	−1.56398	+	0.459226i	−0.945241	−	0.326372i	$-0.894174\pi$
$677$	−40.6935	+	11.9487i	−1.56398	+	0.459226i	−0.618737	+	0.785598i	$0.712356\pi$
$678$	−0.713896	+	0.823880i	−0.0274170	+	0.0316409i
$679$	−10.5520	+	12.1777i	−0.404950	+	0.467337i
$680$	19.9234	−	5.85004i	0.764028	−	0.224339i
$681$	1.22460	+	2.68149i	0.0469266	+	0.102755i
$682$	1.30895	−	0.841213i	0.0501224	−	0.0322117i
$683$	−0.412952	−	0.121254i	−0.0158012	−	0.00463964i	0.273822	−	0.961780i	$-0.411712\pi$
$683$	−0.412952	−	0.121254i	−0.0158012	−	0.00463964i	−0.289624	+	0.957141i	$0.593530\pi$
$684$	−0.905688	−	6.29920i	−0.0346298	−	0.240856i
$685$	6.47758	−	14.1839i	0.247496	−	0.541940i
$686$	−4.91300	+	34.1707i	−0.187579	+	1.30464i
$687$	−3.86150	−	2.48163i	−0.147325	−	0.0946802i
$688$	−2.37751	−	2.74380i	−0.0906419	−	0.104606i
$689$	14.6066			0.556467
$690$	−11.1748	+	0.183891i	−0.425419	+	0.00700062i
$691$	23.2361			0.883941			0.441971	−	0.897030i	$-0.354280\pi$
$691$	23.2361			0.883941			0.441971	+	0.897030i	$0.354280\pi$
$692$	−26.5372	−	30.6255i	−1.00879	−	1.16421i
$693$	−0.311738	−	0.200342i	−0.0118420	−	0.00761036i
$694$	−5.21178	+	36.2487i	−0.197836	+	1.37598i
$695$	4.21056	−	9.21984i	0.159716	−	0.349728i
$696$	−0.884150	−	6.14940i	−0.0335136	−	0.233092i
$697$	−7.45696	−	2.18956i	−0.282453	−	0.0829356i
$698$	−59.4645	+	38.2155i	−2.25077	+	1.44648i
$699$	−10.6314	−	23.2795i	−0.402115	−	0.880510i
$700$	3.86330	−	1.13437i	0.146019	−	0.0428750i
$701$	−7.62744	+	8.80253i	−0.288084	+	0.332467i	−0.881283	−	0.472589i	$-0.843319\pi$
$701$	−7.62744	+	8.80253i	−0.288084	+	0.332467i	0.593199	+	0.805056i	$0.297865\pi$
$702$	−7.26811	+	8.38785i	−0.274317	+	0.316579i
$703$	6.79683	−	1.99573i	0.256347	−	0.0752703i
$704$	−1.62947	−	3.56804i	−0.0614130	−	0.134476i
$705$	−0.885617	+	0.569151i	−0.0333543	+	0.0214355i
$706$	36.1287	+	10.6083i	1.35972	+	0.399250i
$707$	1.97095	+	13.7083i	0.0741253	+	0.515553i
$708$	19.1799	−	41.9980i	0.720823	−	1.57838i
$709$	−0.457565	+	3.18244i	−0.0171842	+	0.119519i	−0.996608	−	0.0822958i	$-0.973775\pi$
$709$	−0.457565	+	3.18244i	−0.0171842	+	0.119519i	0.979424	+	0.201815i	$0.0646839\pi$
$710$	19.8270	+	12.7420i	0.744093	+	0.478200i
$711$	10.1926	+	11.7629i	0.382253	+	0.441143i
$712$	−29.0483			−1.08863
$713$	6.51375	−	7.77206i	0.243942	−	0.291066i
$714$	17.0300			0.637332
$715$	−0.984786	−	1.13650i	−0.0368289	−	0.0425028i
$716$	−33.3044	−	21.4035i	−1.24465	−	0.799885i
$717$	1.60552	−	11.1667i	0.0599594	−	0.417027i
$718$	−26.3765	+	57.7564i	−0.984362	+	2.15545i
$719$	−4.86175	−	33.8142i	−0.181313	−	1.26106i	−0.853663	−	0.520825i	$-0.825624\pi$
$719$	−4.86175	−	33.8142i	−0.181313	−	1.26106i	0.672351	−	0.740233i	$-0.265285\pi$
$720$	0.872506	+	0.256191i	0.0325164	+	0.00954767i
$721$	−11.1210	+	7.14702i	−0.414167	+	0.266169i
$722$	−15.0630	−	32.9833i	−0.560586	−	1.22751i
$723$	17.2870	−	5.07592i	0.642910	−	0.188775i
$724$	−5.13377	+	5.92469i	−0.190795	+	0.220189i
$725$	1.22004	−	1.40800i	0.0453112	−	0.0522919i
$726$	−24.3734	+	7.15668i	−0.904583	+	0.265609i
$727$	11.9219	+	26.1053i	0.442159	+	0.968193i	0.991197	+	0.132395i	$0.0422668\pi$
$727$	11.9219	+	26.1053i	0.442159	+	0.968193i	−0.549038	+	0.835797i	$0.685006\pi$
$728$	15.6790	−	10.0763i	0.581104	−	0.373453i
$729$	−0.959493	−	0.281733i	−0.0355368	−	0.0104345i
$730$	−4.25974	−	29.6271i	−0.157660	−	1.09655i
$731$	10.3277	−	22.6144i	0.381982	−	0.836425i
$732$	5.30853	−	36.9216i	0.196209	−	1.36466i
$733$	42.2893	+	27.1777i	1.56199	+	1.00383i	0.981927	+	0.189262i	$0.0606094\pi$
$733$	42.2893	+	27.1777i	1.56199	+	1.00383i	0.580065	+	0.814570i	$0.303027\pi$
$734$	49.4732	+	57.0951i	1.82609	+	2.10742i
$735$	−5.62275			−0.207398
$736$	−14.5596	−	16.2544i	−0.536673	−	0.599144i
$737$	−0.0138502			−0.000510178
$738$	−1.90473	−	2.19818i	−0.0701141	−	0.0809160i
$739$	25.1174	+	16.1419i	0.923957	+	0.593791i	0.913803	−	0.406157i	$-0.133132\pi$
$739$	25.1174	+	16.1419i	0.923957	+	0.593791i	0.0101537	+	0.999948i	$0.496768\pi$
$740$	−1.86469	+	12.9692i	−0.0685472	+	0.476757i
$741$	3.66975	−	8.03564i	0.134812	−	0.295197i
$742$	−1.19373	−	8.30258i	−0.0438232	−	0.304797i
$743$	−32.0140	−	9.40015i	−1.17448	−	0.344858i	−0.364435	−	0.931229i	$-0.618738\pi$
$743$	−32.0140	−	9.40015i	−1.17448	−	0.344858i	−0.810043	+	0.586371i	$0.800556\pi$
$744$	−5.93172	+	3.81209i	−0.217467	+	0.139758i
$745$	4.52239	+	9.90266i	0.165688	+	0.362805i
$746$	−58.7805	+	17.2595i	−2.15211	+	0.631915i
$747$	−1.31802	+	1.52107i	−0.0482237	+	0.0556532i
$748$	−4.41761	+	5.09819i	−0.161524	+	0.186408i
$749$	−10.3460	+	3.03786i	−0.378035	+	0.111001i
$750$	0.968096	+	2.11984i	0.0353499	+	0.0774054i
$751$	−6.74440	+	4.33436i	−0.246107	+	0.158163i	−0.657879	−	0.753124i	$-0.728546\pi$
$751$	−6.74440	+	4.33436i	−0.246107	+	0.158163i	0.411772	+	0.911287i	$0.364910\pi$
$752$	0.918517	+	0.269701i	0.0334949	+	0.00983498i
$753$	−2.94207	−	20.4625i	−0.107215	−	0.745696i
$754$	8.58975	−	18.8089i	0.312820	−	0.684981i
$755$	2.94908	−	20.5113i	0.107328	−	0.746482i
$756$	3.38722	+	2.17683i	0.123192	+	0.0791707i
$757$	23.9525	+	27.6427i	0.870570	+	1.00469i	0.999914	+	0.0130911i	$0.00416716\pi$
$757$	23.9525	+	27.6427i	0.870570	+	1.00469i	−0.129345	+	0.991600i	$0.541287\pi$
$758$	87.8621			3.19130
$759$	1.26029	−	0.839559i	0.0457457	−	0.0304741i
$760$	−6.18541			−0.224368
$761$	−32.6821	−	37.7171i	−1.18473	−	1.36725i	−0.914569	−	0.404429i	$-0.867470\pi$
$761$	−32.6821	−	37.7171i	−1.18473	−	1.36725i	−0.270156	−	0.962817i	$-0.587075\pi$
$762$	1.57412	+	1.01162i	0.0570242	+	0.0366472i
$763$	1.98728	−	13.8218i	0.0719443	−	0.500383i
$764$	25.2777	−	55.3504i	0.914514	−	2.00251i
$765$	0.886181	+	6.16352i	0.0320399	+	0.222843i
$766$	−0.231193	−	0.0678843i	−0.00835333	−	0.00245276i
$767$	53.9158	−	34.6496i	1.94679	−	1.25112i
$768$	8.89521	+	19.4778i	0.320978	+	0.702845i
$769$	34.2172	−	10.0471i	1.23390	−	0.362307i	0.401182	−	0.915998i	$-0.368599\pi$
$769$	34.2172	−	10.0471i	1.23390	−	0.362307i	0.832722	+	0.553691i	$0.186781\pi$
$770$	−0.565521	+	0.652646i	−0.0203800	+	0.0235197i
$771$	−14.9597	+	17.2644i	−0.538761	+	0.621763i
$772$	11.4973	−	3.37592i	0.413798	−	0.121502i
$773$	−11.4058	−	24.9752i	−0.410237	−	0.898294i	−0.996129	−	0.0879047i	$-0.971983\pi$
$773$	−11.4058	−	24.9752i	−0.410237	−	0.898294i	0.585892	−	0.810389i	$-0.300744\pi$
$774$	7.82729	−	5.03029i	0.281346	−	0.180810i
$775$	−2.02883	−	0.595718i	−0.0728777	−	0.0213988i
$776$	6.51599	+	45.3197i	0.233911	+	1.62688i
$777$	−1.86181	+	4.07679i	−0.0667920	+	0.146254i
$778$	−3.85228	+	26.7932i	−0.138111	+	0.960583i
$779$	1.94757	+	1.25163i	0.0697790	+	0.0448442i
$780$	10.7003	+	12.3488i	0.383131	+	0.442157i
$781$	−3.19337			−0.114268
$782$	−27.8649	+	63.7721i	−0.996448	+	2.28049i
$783$	1.86306			0.0665802
$784$	3.34830	+	3.86414i	0.119582	+	0.138005i
$785$	17.6319	+	11.3313i	0.629310	+	0.404433i
$786$	−2.93771	+	20.4322i	−0.104785	+	0.728793i
$787$	−4.99960	+	10.9476i	−0.178216	+	0.390240i	−0.977567	−	0.210626i	$-0.932450\pi$
$787$	−4.99960	+	10.9476i	−0.178216	+	0.390240i	0.799350	+	0.600865i	$0.205177\pi$
$788$	0.810290	+	5.63569i	0.0288654	+	0.200763i
$789$	17.4078	+	5.11139i	0.619734	+	0.181970i
$790$	30.5141	−	19.6102i	1.08564	−	0.697699i
$791$	0.228054	+	0.499369i	0.00810868	+	0.0177555i
$792$	−1.01030	+	0.296649i	−0.0358993	+	0.0105410i
$793$	33.9078	−	39.1317i	1.20410	−	1.38961i
$794$	41.2295	−	47.5814i	1.46318	−	1.68860i
$795$	2.94276	−	0.864072i	0.104369	−	0.0306455i
$796$	8.75912	+	19.1798i	0.310459	+	0.679810i
$797$	−24.3741	+	15.6643i	−0.863375	+	0.554858i	−0.895720	−	0.444619i	$-0.853339\pi$
$797$	−24.3741	+	15.6643i	−0.863375	+	0.554858i	0.0323445	+	0.999477i	$0.489703\pi$
$798$	−4.86747	−	1.42922i	−0.172307	−	0.0505938i
$799$	0.932913	+	6.48855i	0.0330041	+	0.229549i
$800$	−1.89020	+	4.13895i	−0.0668285	+	0.146334i
$801$	1.23971	−	8.62238i	0.0438030	−	0.304657i
$802$	73.3042	+	47.1097i	2.58846	+	1.66350i
$803$	2.65584	+	3.06500i	0.0937226	+	0.108162i
$804$	0.150490			0.00530738
$805$	−2.25349	+	5.15738i	−0.0794251	+	0.181774i
$806$	−23.4680			−0.826626
$807$	9.56942	+	11.0437i	0.336860	+	0.388757i
$808$	33.1052	+	21.2754i	1.16464	+	0.748467i
$809$	−2.14369	+	14.9097i	−0.0753682	+	0.524197i	0.916806	+	0.399334i	$0.130758\pi$
$809$	−2.14369	+	14.9097i	−0.0753682	+	0.524197i	−0.992174	+	0.124864i	$0.960151\pi$
$810$	−0.968096	+	2.11984i	−0.0340154	+	0.0744834i
$811$	3.02184	+	21.0173i	0.106111	+	0.738018i	0.971521	+	0.236954i	$0.0761490\pi$
$811$	3.02184	+	21.0173i	0.106111	+	0.738018i	−0.865410	+	0.501065i	$0.832942\pi$
$812$	−7.19754	−	2.11339i	−0.252584	−	0.0741654i
$813$	26.5556	−	17.0662i	0.931345	−	0.598539i
$814$	−1.16740	−	2.55626i	−0.0409175	−	0.0895968i
$815$	5.29492	−	1.55473i	0.185473	−	0.0544598i
$816$	3.70807	−	4.27934i	0.129808	−	0.149807i
$817$	−4.84970	+	5.59686i	−0.169670	+	0.195809i
$818$	6.22053	−	1.82651i	0.217496	−	0.0638625i
$819$	2.32180	+	5.08403i	0.0811303	+	0.177651i
$820$	−3.60234	+	2.31508i	−0.125799	+	0.0808462i
$821$	−34.6561	−	10.1760i	−1.20951	−	0.355144i	−0.386027	−	0.922487i	$-0.626153\pi$
$821$	−34.6561	−	10.1760i	−1.20951	−	0.355144i	−0.823481	+	0.567344i	$0.807971\pi$
$822$	−5.17151	−	35.9686i	−0.180377	−	1.25455i
$823$	16.4337	−	35.9848i	0.572843	−	1.25435i	−0.372427	−	0.928061i	$-0.621474\pi$
$823$	16.4337	−	35.9848i	0.572843	−	1.25435i	0.945270	−	0.326289i	$-0.105798\pi$
$824$	−5.34576	+	37.1806i	−0.186229	+	1.29525i
$825$	−0.265634	−	0.170713i	−0.00924819	−	0.00594345i
$826$	−24.1016	−	27.8147i	−0.838601	−	0.967797i
$827$	3.52167			0.122460			0.0612302	−	0.998124i	$-0.480498\pi$
$827$	3.52167			0.122460			0.0612302	+	0.998124i	$0.480498\pi$
$828$	−13.6938	+	9.12230i	−0.475893	+	0.317022i
$829$	−21.8823			−0.760005			−0.380002	−	0.924985i	$-0.624077\pi$
$829$	−21.8823			−0.760005			−0.380002	+	0.924985i	$0.624077\pi$
$830$	3.07155	+	3.54476i	0.106615	+	0.123040i
$831$	−4.51113	−	2.89913i	−0.156489	−	0.100570i
$832$	−8.41965	+	58.5600i	−0.291899	+	2.03020i
$833$	−14.5446	+	31.8483i	−0.503942	+	1.10348i
$834$	−3.36159	−	23.3803i	−0.116402	−	0.809595i
$835$	−22.0655	−	6.47900i	−0.763607	−	0.224215i
$836$	1.69049	−	1.08641i	0.0584667	−	0.0375743i
$837$	−0.878388	−	1.92340i	−0.0303615	−	0.0664824i
$838$	−11.9666	+	3.51372i	−0.413380	+	0.121379i
$839$	5.22174	−	6.02621i	0.180275	−	0.208048i	−0.658419	−	0.752652i	$-0.728774\pi$
$839$	5.22174	−	6.02621i	0.180275	−	0.208048i	0.838694	+	0.544604i	$0.183320\pi$
$840$	2.56274	−	2.95756i	0.0884231	−	0.102046i
$841$	24.4949	−	7.19236i	0.844652	−	0.248012i
$842$	22.9882	+	50.3372i	0.792226	+	1.73473i
$843$	−24.6543	+	15.8444i	−0.849141	+	0.545710i
$844$	−20.6821	−	6.07281i	−0.711907	−	0.209035i
$845$	1.37783	+	9.58299i	0.0473986	+	0.329665i
$846$	−1.01915	+	2.23162i	−0.0350391	+	0.0767248i
$847$	−1.82052	+	12.6620i	−0.0625537	+	0.435071i
$848$	−2.34621	−	1.50782i	−0.0805691	−	0.0517786i
$849$	−2.94835	−	3.40258i	−0.101187	−	0.116776i
$850$	14.5114			0.497736
$851$	−12.2200	−	13.6424i	−0.418895	−	0.467657i
$852$	34.6979			1.18873
$853$	32.1239	+	37.0730i	1.09990	+	1.26935i	0.960246	+	0.279154i	$0.0900540\pi$
$853$	32.1239	+	37.0730i	1.09990	+	1.26935i	0.139655	+	0.990200i	$0.455401\pi$
$854$	−25.0141	−	16.0756i	−0.855964	−	0.550094i
$855$	0.263979	−	1.83601i	0.00902788	−	0.0627903i
$856$	−12.7279	+	27.8702i	−0.435030	+	0.952583i
$857$	5.11715	+	35.5905i	0.174798	+	1.21575i	0.868574	+	0.495559i	$0.165037\pi$
$857$	5.11715	+	35.5905i	0.174798	+	1.21575i	−0.693776	+	0.720191i	$0.744054\pi$
$858$	−3.36257	−	0.987339i	−0.114796	−	0.0337072i
$859$	41.0723	−	26.3956i	1.40137	−	0.900606i	0.401486	−	0.915865i	$-0.368494\pi$
$859$	41.0723	−	26.3956i	1.40137	−	0.900606i	0.999884	+	0.0152592i	$0.00485734\pi$
$860$	−5.69036	−	12.4602i	−0.194040	−	0.424888i
$861$	−1.40539	+	0.412659i	−0.0478955	+	0.0140634i
$862$	−18.8163	+	21.7151i	−0.640885	+	0.739621i
$863$	−37.1089	+	42.8259i	−1.26320	+	1.45781i	−0.431967	+	0.901889i	$0.642180\pi$
$863$	−37.1089	+	42.8259i	−1.26320	+	1.45781i	−0.831234	+	0.555922i	$0.812365\pi$
$864$	−4.36582	+	1.28192i	−0.148528	+	0.0436119i
$865$	−4.90657	−	10.7439i	−0.166828	−	0.365303i
$866$	−34.1154	+	21.9246i	−1.15929	+	0.745029i
$867$	20.8923	+	6.13453i	0.709540	+	0.208340i
$868$	1.21163	+	8.42708i	0.0411254	+	0.286034i
$869$	−2.04162	+	4.47053i	−0.0692573	+	0.151652i
$870$	0.617892	−	4.29753i	0.0209485	−	0.145700i
$871$	0.175736	+	0.112939i	0.00595460	+	0.00382679i
$872$	−25.9837	−	29.9868i	−0.879918	−	1.01548i
$873$	−13.7303			−0.464701
$874$	13.3163	−	15.8886i	0.450429	−	0.537441i
$875$	1.17356			0.0396737
$876$	−28.8573	−	33.3031i	−0.974996	−	1.12521i
$877$	32.6726	+	20.9974i	1.10328	+	0.709032i	0.959818	−	0.280624i	$-0.0905415\pi$
$877$	32.6726	+	20.9974i	1.10328	+	0.709032i	0.143458	+	0.989656i	$0.454178\pi$
$878$	−0.419349	+	2.91664i	−0.0141524	+	0.0984318i
$879$	8.25051	−	18.0661i	0.278283	−	0.609354i
$880$	0.0408633	+	0.284210i	0.00137750	+	0.00958073i
$881$	48.3396	+	14.1938i	1.62860	+	0.478201i	0.963313	−	0.268382i	$-0.0864890\pi$
$881$	48.3396	+	14.1938i	1.62860	+	0.478201i	0.665292	+	0.746584i	$0.268307\pi$
$882$	−11.0233	+	7.08425i	−0.371174	+	0.238539i
$883$	−4.36019	−	9.54749i	−0.146732	−	0.321299i	0.821967	−	0.569534i	$-0.192876\pi$
$883$	−4.36019	−	9.54749i	−0.146732	−	0.321299i	−0.968700	+	0.248236i	$0.920149\pi$
$884$	97.6247	−	28.6652i	3.28347	−	0.964115i
$885$	8.81256	−	10.1702i	0.296231	−	0.341869i
$886$	−58.4988	+	67.5112i	−1.96531	+	2.26808i
$887$	−4.80109	+	1.40973i	−0.161205	+	0.0473340i	−0.361339	−	0.932434i	$-0.617680\pi$
$887$	−4.80109	+	1.40973i	−0.161205	+	0.0473340i	0.200134	+	0.979768i	$0.435862\pi$
$888$	5.29027	+	11.5841i	0.177530	+	0.388736i
$889$	0.792696	−	0.509435i	0.0265862	−	0.0170859i
$890$	−19.4782	−	5.71931i	−0.652910	−	0.191712i
$891$	−0.0449373	−	0.312546i	−0.00150546	−	0.0104707i
$892$	14.2667	−	31.2396i	0.477683	−	1.04598i
$893$	0.277899	−	1.93283i	0.00929955	−	0.0646798i
$894$	21.3427	+	13.7161i	0.713807	+	0.458736i
$895$	−7.55639	−	8.72054i	−0.252582	−	0.291496i
$896$	23.2946			0.778217
$897$	−22.8371	+	0.375804i	−0.762509	+	0.0125477i
$898$	29.9425			0.999193
$899$	2.57976	+	2.97720i	0.0860397	+	0.0992951i
$900$	2.88627	+	1.85489i	0.0962089	+	0.0618297i
$901$	2.71791	−	18.9035i	0.0905467	−	0.629766i
$902$	0.381525	−	0.835424i	0.0127034	−	0.0278166i
$903$	−0.666814	−	4.63779i	−0.0221902	−	0.154336i
$904$	1.49672	+	0.439477i	0.0497802	+	0.0146168i
$905$	−1.92223	+	1.23534i	−0.0638970	+	0.0410641i
$906$	−20.0611	−	43.9277i	−0.666485	−	1.45940i
$907$	24.6248	−	7.23049i	0.817652	−	0.240084i	0.153947	−	0.988079i	$-0.450801\pi$
$907$	24.6248	−	7.23049i	0.817652	−	0.240084i	0.663705	+	0.747995i	$0.268983\pi$
$908$	6.62322	−	7.64360i	0.219799	−	0.253662i
$909$	−7.72802	+	8.91861i	−0.256322	+	0.295812i
$910$	12.4974	−	3.66958i	0.414286	−	0.121645i
$911$	−16.1098	−	35.2756i	−0.533742	−	1.16873i	−0.963970	−	0.266011i	$-0.914294\pi$
$911$	−16.1098	−	35.2756i	−0.533742	−	1.16873i	0.430228	−	0.902720i	$-0.358433\pi$
$912$	−1.41897	+	0.911914i	−0.0469866	+	0.0301965i
$913$	−0.609776	−	0.179047i	−0.0201807	−	0.00592557i
$914$	−0.0807007	−	0.561286i	−0.00266934	−	0.0185657i
$915$	4.51644	−	9.88963i	0.149309	−	0.326941i
$916$	−2.24124	+	15.5882i	−0.0740527	+	0.515048i
$917$	8.74491	+	5.62002i	0.288783	+	0.185589i
$918$	9.50293	+	10.9670i	0.313643	+	0.361964i
$919$	−11.3127			−0.373173			−0.186586	−	0.982439i	$-0.559742\pi$
$919$	−11.3127			−0.373173			−0.186586	+	0.982439i	$0.559742\pi$
$920$	6.88194	+	14.4359i	0.226891	+	0.475938i
$921$	−27.7445			−0.914214
$922$	−26.5145	−	30.5994i	−0.873210	−	1.00774i
$923$	40.5188	+	26.0398i	1.33369	+	0.857112i
$924$	−0.180935	+	1.25843i	−0.00595233	+	0.0413994i
$925$	−1.58646	+	3.47385i	−0.0521624	+	0.114220i
$926$	6.90127	+	47.9994i	0.226790	+	1.57736i
$927$	−10.8082	−	3.17356i	−0.354986	−	0.104233i
$928$	7.13144	−	4.58310i	0.234101	−	0.150448i
$929$	−2.91123	−	6.37471i	−0.0955145	−	0.209148i	0.855844	−	0.517235i	$-0.173039\pi$
$929$	−2.91123	−	6.37471i	−0.0955145	−	0.209148i	−0.951358	+	0.308087i	$0.900311\pi$
$930$	−4.72805	+	1.38828i	−0.155039	+	0.0455235i
$931$	6.82993	−	7.88216i	0.223842	−	0.258327i
$932$	−57.4997	+	66.3582i	−1.88347	+	2.17364i
$933$	−31.4217	+	9.22626i	−1.02870	+	0.302054i
$934$	−29.5579	−	64.7227i	−0.967163	−	2.11779i
$935$	−1.65408	+	1.06301i	−0.0540941	+	0.0347642i
$936$	15.2380	+	4.47428i	0.498069	+	0.146246i
$937$	−4.34009	−	30.1860i	−0.141785	−	0.986134i	−0.929165	−	0.369666i	$-0.879472\pi$
$937$	−4.34009	−	30.1860i	−0.141785	−	0.986134i	0.787380	−	0.616468i	$-0.211437\pi$
$938$	0.0498338	−	0.109121i	0.00162713	−	0.00356292i
$939$	−1.86878	+	12.9976i	−0.0609853	+	0.424162i
$940$	3.03848	+	1.95271i	0.0991041	+	0.0636904i
$941$	2.79912	+	3.23036i	0.0912488	+	0.105307i	0.799538	−	0.600616i	$-0.205078\pi$
$941$	2.79912	+	3.23036i	0.0912488	+	0.105307i	−0.708289	+	0.705923i	$0.750533\pi$
$942$	48.8437			1.59141
$943$	0.754250	−	5.93795i	0.0245617	−	0.193366i
$944$	−12.2371			−0.398285
$945$	0.768521	+	0.886920i	0.0250000	+	0.0288515i
$946$	2.47154	+	1.58836i	0.0803567	+	0.0516421i
$947$	1.37983	−	9.59696i	0.0448386	−	0.311859i	−0.955043	−	0.296467i	$-0.904191\pi$
$947$	1.37983	−	9.59696i	0.0448386	−	0.311859i	0.999882	−	0.0153917i	$-0.00489953\pi$
$948$	22.1834	−	48.5749i	0.720484	−	1.57764i
$949$	−8.70528	−	60.5466i	−0.282585	−	1.96542i
$950$	−4.14760	−	1.21784i	−0.134566	−	0.0395121i
$951$	13.7938	−	8.86476i	0.447296	−	0.287460i
$952$	−10.1230	−	22.1663i	−0.328089	−	0.718415i
$953$	40.2647	−	11.8228i	1.30430	−	0.382977i	0.445497	−	0.895283i	$-0.353027\pi$
$953$	40.2647	−	11.8228i	1.30430	−	0.382977i	0.858803	+	0.512306i	$0.171209\pi$
$954$	4.68057	−	5.40166i	0.151539	−	0.174885i
$955$	11.6143	−	13.4037i	0.375831	−	0.433732i
$956$	−37.1380	+	10.9047i	−1.20113	+	0.352683i
$957$	0.244379	+	0.535116i	0.00789967	+	0.0172979i
$958$	−4.93015	+	3.16841i	−0.159286	+	0.102367i
$959$	−17.5582	−	5.15554i	−0.566982	−	0.166481i
$960$	1.76790	+	12.2960i	0.0570588	+	0.396852i
$961$	−11.0205	+	24.1316i	−0.355501	+	0.778439i
$962$	−6.03210	+	41.9542i	−0.194483	+	1.35266i
$963$	−7.72950	−	4.96745i	−0.249080	−	0.160074i
$964$	−40.4796	−	46.7159i	−1.30376	−	1.50462i
$965$	3.49258			0.112430
$966$	2.07998	+	12.9502i	0.0669224	+	0.416666i
$967$	−31.2996			−1.00653			−0.503263	−	0.864133i	$-0.667867\pi$
$967$	−31.2996			−1.00653			−0.503263	+	0.864133i	$0.667867\pi$
$968$	23.8033	+	27.4705i	0.765067	+	0.882934i
$969$	−9.71667	−	6.24452i	−0.312144	−	0.200603i
$970$	−4.55373	+	31.6719i	−0.146211	+	1.01692i
$971$	24.7749	−	54.2495i	0.795065	−	1.74095i	0.133516	−	0.991047i	$-0.457373\pi$
$971$	24.7749	−	54.2495i	0.795065	−	1.74095i	0.661549	−	0.749902i	$-0.269899\pi$
$972$	0.488270	+	3.39599i	0.0156613	+	0.108926i
$973$	−11.4132	−	3.35121i	−0.365889	−	0.107435i
$974$	15.5130	−	9.96962i	0.497069	−	0.319447i
$975$	1.97842	+	4.33213i	0.0633601	+	0.138739i
$976$	−9.48599	+	2.78534i	−0.303639	+	0.0891565i
$977$	−0.397477	+	0.458713i	−0.0127164	+	0.0146755i	−0.762072	−	0.647492i	$-0.775818\pi$
$977$	−0.397477	+	0.458713i	−0.0127164	+	0.0146755i	0.749356	+	0.662168i	$0.230363\pi$
$978$	8.42177	−	9.71924i	0.269298	−	0.310787i
$979$	2.63918	−	0.774933i	0.0843485	−	0.0247670i
$980$	8.01384	+	17.5479i	0.255993	+	0.560546i
$981$	10.0099	−	6.43296i	0.319591	−	0.205389i
$982$	−43.1611	−	12.6732i	−1.37732	−	0.404419i
$983$	−0.383457	−	2.66700i	−0.0122304	−	0.0850641i	0.982792	−	0.184715i	$-0.0591363\pi$
$983$	−0.383457	−	2.66700i	−0.0122304	−	0.0850641i	−0.995022	+	0.0996514i	$0.968227\pi$
$984$	−1.72894	+	3.78585i	−0.0551166	+	0.120689i
$985$	−0.236173	+	1.64262i	−0.00752511	+	0.0523383i
$986$	−22.7437	−	14.6165i	−0.724307	−	0.465484i
$987$	0.809048	+	0.933692i	0.0257523	+	0.0297197i
$988$	−30.3085			−0.964242
$989$	18.4582	+	5.09146i	0.586935	+	0.161899i
$990$	−0.735856			−0.0233871
$991$	23.3438	+	26.9402i	0.741542	+	0.855785i	0.993720	−	0.111896i	$-0.0356924\pi$
$991$	23.3438	+	26.9402i	0.741542	+	0.855785i	−0.252178	+	0.967681i	$0.581147\pi$
$992$	−8.09386	−	5.20160i	−0.256980	−	0.165151i
$993$	2.11668	−	14.7218i	0.0671708	−	0.467183i
$994$	11.4900	−	25.1595i	0.364439	−	0.798011i
$995$	0.874618	+	6.08311i	0.0277273	+	0.192847i
$996$	6.62558	+	1.94545i	0.209939	+	0.0616438i
$997$	49.7284	−	31.9585i	1.57491	−	1.01214i	0.597226	−	0.802073i	$-0.296270\pi$
$997$	49.7284	−	31.9585i	1.57491	−	1.01214i	0.977688	−	0.210063i	$-0.0673668\pi$
$998$	−12.2950	−	26.9223i	−0.389192	−	0.852211i
$999$	−3.66427	+	1.07593i	−0.115932	+	0.0340408i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	345.2.m.a.151.1	yes	30
23.4	even	11		7935.2.a.bp.1.14		15
23.16	even	11	inner	345.2.m.a.16.1	✓	30
23.19	odd	22		7935.2.a.bq.1.14		15

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
345.2.m.a.16.1	✓	30	23.16	even	11	inner
345.2.m.a.151.1	yes	30	1.1	even	1	trivial
7935.2.a.bp.1.14		15	23.4	even	11
7935.2.a.bq.1.14		15	23.19	odd	22

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:	\( N \)	\(=\)	\( 345 = 3 \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	345.m (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.52611 - 1.76122i) q^{2} +(-0.841254 - 0.540641i) q^{3} +(-0.488270 + 3.39599i) q^{4} +(-0.415415 + 0.909632i) q^{5} +(0.331655 + 2.30671i) q^{6} +(1.12603 + 0.330631i) q^{7} +(2.80528 - 1.80285i) q^{8} +(0.415415 + 0.909632i) q^{9} +O(q^{10})\)	\(q+(-1.52611 - 1.76122i) q^{2} +(-0.841254 - 0.540641i) q^{3} +(-0.488270 + 3.39599i) q^{4} +(-0.415415 + 0.909632i) q^{5} +(0.331655 + 2.30671i) q^{6} +(1.12603 + 0.330631i) q^{7} +(2.80528 - 1.80285i) q^{8} +(0.415415 + 0.909632i) q^{9} +(2.23603 - 0.656559i) q^{10} +(-0.206779 + 0.238635i) q^{11} +(2.24677 - 2.59291i) q^{12} +(4.56960 - 1.34176i) q^{13} +(-1.13612 - 2.48776i) q^{14} +(0.841254 - 0.540641i) q^{15} +(-0.872506 - 0.256191i) q^{16} +(-0.886181 - 6.16352i) q^{17} +(0.968096 - 2.11984i) q^{18} +(-0.263979 + 1.83601i) q^{19} +(-2.88627 - 1.85489i) q^{20} +(-0.768521 - 0.886920i) q^{21} +0.735856 q^{22} +(4.57871 - 1.42667i) q^{23} -3.33465 q^{24} +(-0.654861 - 0.755750i) q^{25} +(-9.33683 - 6.00042i) q^{26} +(0.142315 - 0.989821i) q^{27} +(-1.67262 + 3.66254i) q^{28} +(0.265140 + 1.84409i) q^{29} +(-2.23603 - 0.656559i) q^{30} +(1.77882 - 1.14318i) q^{31} +(-1.89020 - 4.13895i) q^{32} +(0.302969 - 0.0889598i) q^{33} +(-9.50293 + 10.9670i) q^{34} +(-0.768521 + 0.886920i) q^{35} +(-3.29194 + 0.966600i) q^{36} +(-1.58646 - 3.47385i) q^{37} +(3.63649 - 2.33703i) q^{38} +(-4.56960 - 1.34176i) q^{39} +(0.474570 + 3.30070i) q^{40} +(0.518478 - 1.13531i) q^{41} +(-0.389218 + 2.70707i) q^{42} +(3.35873 + 2.15852i) q^{43} +(-0.709440 - 0.818737i) q^{44} -1.00000 q^{45} +(-9.50030 - 5.88688i) q^{46} -1.05273 q^{47} +(0.595491 + 0.687234i) q^{48} +(-4.73016 - 3.03989i) q^{49} +(-0.331655 + 2.30671i) q^{50} +(-2.58675 + 5.66419i) q^{51} +(2.32539 + 16.1735i) q^{52} +(2.94276 + 0.864072i) q^{53} +(-1.96048 + 1.25993i) q^{54} +(-0.131171 - 0.287225i) q^{55} +(3.75490 - 1.10254i) q^{56} +(1.21470 - 1.40183i) q^{57} +(2.84322 - 3.28126i) q^{58} +(12.9120 - 3.79132i) q^{59} +(1.42525 + 3.12087i) q^{60} +(9.14621 - 5.87791i) q^{61} +(-4.72805 - 1.38828i) q^{62} +(0.167015 + 1.16162i) q^{63} +(-5.16048 + 11.2999i) q^{64} +(-0.677776 + 4.71404i) q^{65} +(-0.619042 - 0.397834i) q^{66} +(0.0287242 + 0.0331495i) q^{67} +21.3640 q^{68} +(-4.62317 - 1.27525i) q^{69} +2.73491 q^{70} +(6.62281 + 7.64313i) q^{71} +(2.80528 + 1.80285i) q^{72} +(1.82788 - 12.7132i) q^{73} +(-3.69713 + 8.09558i) q^{74} +(0.142315 + 0.989821i) q^{75} +(-6.10619 - 1.79294i) q^{76} +(-0.311738 + 0.200342i) q^{77} +(4.61057 + 10.0957i) q^{78} +(14.9341 - 4.38504i) q^{79} +(0.595491 - 0.687234i) q^{80} +(-0.654861 + 0.755750i) q^{81} +(-2.79078 + 0.819448i) q^{82} +(0.836093 + 1.83079i) q^{83} +(3.38722 - 2.17683i) q^{84} +(5.97467 + 1.75432i) q^{85} +(-1.32414 - 9.20961i) q^{86} +(0.773941 - 1.69469i) q^{87} +(-0.149850 + 1.04223i) q^{88} +(-7.32820 - 4.70955i) q^{89} +(1.52611 + 1.76122i) q^{90} +5.58911 q^{91} +(2.60932 + 16.2459i) q^{92} -2.11448 q^{93} +(1.60659 + 1.85410i) q^{94} +(-1.56043 - 1.00283i) q^{95} +(-0.647552 + 4.50382i) q^{96} +(-5.70378 + 12.4895i) q^{97} +(1.86481 + 12.9701i) q^{98} +(-0.302969 - 0.0889598i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 30 q + 3 q^{3} + 2 q^{4} + 3 q^{5} + 11 q^{6} + q^{7} + 22 q^{8} - 3 q^{9}+O(q^{10}) \) 30 * q + 3 * q^3 + 2 * q^4 + 3 * q^5 + 11 * q^6 + q^7 + 22 * q^8 - 3 * q^9	\( 30 q + 3 q^{3} + 2 q^{4} + 3 q^{5} + 11 q^{6} + q^{7} + 22 q^{8} - 3 q^{9} - 7 q^{11} - 2 q^{12} + 7 q^{13} - 47 q^{14} - 3 q^{15} + 26 q^{16} + 15 q^{17} - 7 q^{19} - 2 q^{20} - 12 q^{21} - 18 q^{22} + 12 q^{23} - 3 q^{25} - 18 q^{26} + 3 q^{27} + 2 q^{28} - 6 q^{29} + 22 q^{31} + 33 q^{32} - 4 q^{33} - 53 q^{34} - 12 q^{35} - 9 q^{36} - 23 q^{37} + 21 q^{38} - 7 q^{39} + 11 q^{40} + 26 q^{41} + 3 q^{42} - 19 q^{43} - 47 q^{44} - 30 q^{45} - 44 q^{46} + 14 q^{47} + 7 q^{48} + 2 q^{49} - 11 q^{50} - 15 q^{51} + 55 q^{52} - 14 q^{53} - 11 q^{54} - 4 q^{55} + 6 q^{56} - 26 q^{57} - 18 q^{58} + 40 q^{59} - 9 q^{60} + 37 q^{61} + 19 q^{62} - 10 q^{63} + 14 q^{64} + 4 q^{65} - 4 q^{66} - 108 q^{67} + 54 q^{68} + 21 q^{69} - 30 q^{70} + 39 q^{71} + 22 q^{72} + 57 q^{73} - 11 q^{74} + 3 q^{75} + 22 q^{76} + 2 q^{77} + 7 q^{78} + 55 q^{79} + 7 q^{80} - 3 q^{81} - 26 q^{82} - 79 q^{83} - 2 q^{84} + 18 q^{85} - 44 q^{86} - 5 q^{87} - 8 q^{88} - 30 q^{89} + 40 q^{91} + 35 q^{92} + 44 q^{93} - 29 q^{94} + 7 q^{95} + 22 q^{96} - 52 q^{97} + 28 q^{98} + 4 q^{99}+O(q^{100}) \) 30 * q + 3 * q^3 + 2 * q^4 + 3 * q^5 + 11 * q^6 + q^7 + 22 * q^8 - 3 * q^9 - 7 * q^11 - 2 * q^12 + 7 * q^13 - 47 * q^14 - 3 * q^15 + 26 * q^16 + 15 * q^17 - 7 * q^19 - 2 * q^20 - 12 * q^21 - 18 * q^22 + 12 * q^23 - 3 * q^25 - 18 * q^26 + 3 * q^27 + 2 * q^28 - 6 * q^29 + 22 * q^31 + 33 * q^32 - 4 * q^33 - 53 * q^34 - 12 * q^35 - 9 * q^36 - 23 * q^37 + 21 * q^38 - 7 * q^39 + 11 * q^40 + 26 * q^41 + 3 * q^42 - 19 * q^43 - 47 * q^44 - 30 * q^45 - 44 * q^46 + 14 * q^47 + 7 * q^48 + 2 * q^49 - 11 * q^50 - 15 * q^51 + 55 * q^52 - 14 * q^53 - 11 * q^54 - 4 * q^55 + 6 * q^56 - 26 * q^57 - 18 * q^58 + 40 * q^59 - 9 * q^60 + 37 * q^61 + 19 * q^62 - 10 * q^63 + 14 * q^64 + 4 * q^65 - 4 * q^66 - 108 * q^67 + 54 * q^68 + 21 * q^69 - 30 * q^70 + 39 * q^71 + 22 * q^72 + 57 * q^73 - 11 * q^74 + 3 * q^75 + 22 * q^76 + 2 * q^77 + 7 * q^78 + 55 * q^79 + 7 * q^80 - 3 * q^81 - 26 * q^82 - 79 * q^83 - 2 * q^84 + 18 * q^85 - 44 * q^86 - 5 * q^87 - 8 * q^88 - 30 * q^89 + 40 * q^91 + 35 * q^92 + 44 * q^93 - 29 * q^94 + 7 * q^95 + 22 * q^96 - 52 * q^97 + 28 * q^98 + 4 * q^99

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