LMFDB - Embedded newform 95.2.p.a.9.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [95,2,Mod(4,95)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(95, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([9, 2]))

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

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

chi := DirichletCharacter("95.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 95 = 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	95.p (of order $18$, degree $6$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$0.758578819202$
Analytic rank:	$0$
Dimension:	$48$
Relative dimension:	$8$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			9.6
Character	$\chi$	$=$	95.9
Dual form			95.2.p.a.74.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.20303 - 0.212126i) q^{2} +(0.517072 + 0.616222i) q^{3} +(-0.477108 + 0.173653i) q^{4} +(2.06524 + 0.857189i) q^{5} +(0.752768 + 0.631647i) q^{6} +(-3.28379 - 1.89590i) q^{7} +(-2.65299 + 1.53170i) q^{8} +(0.408578 - 2.31716i) q^{9} +O(q^{10})$	\(q+(1.20303 - 0.212126i) q^{2} +(0.517072 + 0.616222i) q^{3} +(-0.477108 + 0.173653i) q^{4} +(2.06524 + 0.857189i) q^{5} +(0.752768 + 0.631647i) q^{6} +(-3.28379 - 1.89590i) q^{7} +(-2.65299 + 1.53170i) q^{8} +(0.408578 - 2.31716i) q^{9} +(2.66638 + 0.593130i) q^{10} +(0.618663 + 1.07156i) q^{11} +(-0.353708 - 0.204213i) q^{12} +(2.22146 - 2.64744i) q^{13} +(-4.35266 - 1.58424i) q^{14} +(0.539659 + 1.71588i) q^{15} +(-2.08882 + 1.75273i) q^{16} +(-2.96127 + 0.522152i) q^{17} -2.87428i q^{18} +(-4.28612 + 0.793231i) q^{19} +(-1.13420 - 0.0503361i) q^{20} +(-0.529662 - 3.00386i) q^{21} +(0.971573 + 1.15788i) q^{22} +(2.10267 + 5.77705i) q^{23} +(-2.31565 - 0.842829i) q^{24} +(3.53045 + 3.54061i) q^{25} +(2.11089 - 3.65617i) q^{26} +(3.72910 - 2.15299i) q^{27} +(1.89595 + 0.334308i) q^{28} +(0.744476 - 4.22213i) q^{29} +(1.01321 + 1.94977i) q^{30} +(-2.55067 + 4.41789i) q^{31} +(1.79713 - 2.14174i) q^{32} +(-0.340423 + 0.935304i) q^{33} +(-3.45173 + 1.25633i) q^{34} +(-5.15669 - 6.73032i) q^{35} +(0.207446 + 1.17649i) q^{36} +9.13084i q^{37} +(-4.98805 + 1.86348i) q^{38} +2.78006 q^{39} +(-6.79202 + 0.889225i) q^{40} +(4.08318 - 3.42620i) q^{41} +(-1.27440 - 3.50137i) q^{42} +(3.12092 - 8.57465i) q^{43} +(-0.481248 - 0.403815i) q^{44} +(2.83006 - 4.43527i) q^{45} +(3.75504 + 6.50391i) q^{46} +(7.19237 + 1.26821i) q^{47} +(-2.16014 - 0.380890i) q^{48} +(3.68887 + 6.38931i) q^{49} +(4.99829 + 3.51055i) q^{50} +(-1.85295 - 1.55481i) q^{51} +(-0.600142 + 1.64888i) q^{52} +(-1.13973 - 3.13139i) q^{53} +(4.02950 - 3.38115i) q^{54} +(0.359163 + 2.74333i) q^{55} +11.6158 q^{56} +(-2.70503 - 2.23104i) q^{57} -5.23727i q^{58} +(0.141926 + 0.804901i) q^{59} +(-0.555443 - 0.724945i) q^{60} +(-6.01592 + 2.18962i) q^{61} +(-2.13137 + 5.85590i) q^{62} +(-5.73479 + 6.83446i) q^{63} +(4.43444 - 7.68067i) q^{64} +(6.85722 - 3.56338i) q^{65} +(-0.211136 + 1.19741i) q^{66} +(-0.995566 - 0.175545i) q^{67} +(1.32217 - 0.763357i) q^{68} +(-2.47271 + 4.28286i) q^{69} +(-7.63131 - 7.00290i) q^{70} +(-12.8546 - 4.67867i) q^{71} +(2.46525 + 6.77322i) q^{72} +(7.11096 + 8.47451i) q^{73} +(1.93689 + 10.9846i) q^{74} +(-0.356303 + 4.00629i) q^{75} +(1.90719 - 1.12275i) q^{76} -4.69169i q^{77} +(3.34449 - 0.589724i) q^{78} +(1.06036 - 0.889746i) q^{79} +(-5.81633 + 1.82929i) q^{80} +(-3.37810 - 1.22953i) q^{81} +(4.18539 - 4.98796i) q^{82} +(-2.18283 - 1.26026i) q^{83} +(0.774336 + 1.34119i) q^{84} +(-6.56333 - 1.46000i) q^{85} +(1.93564 - 10.9776i) q^{86} +(2.98672 - 1.72438i) q^{87} +(-3.28261 - 1.89521i) q^{88} +(-2.06711 - 1.73451i) q^{89} +(2.46380 - 5.93608i) q^{90} +(-12.3141 + 4.48197i) q^{91} +(-2.00640 - 2.39114i) q^{92} +(-4.04128 + 0.712586i) q^{93} +8.92164 q^{94} +(-9.53182 - 2.03580i) q^{95} +2.24903 q^{96} +(-3.01600 + 0.531802i) q^{97} +(5.79315 + 6.90401i) q^{98} +(2.73574 - 0.995727i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q - 18 q^{4} - 6 q^{5} - 6 q^{6} - 12 q^{9}+O(q^{10}) $ 48 * q - 18 * q^4 - 6 * q^5 - 6 * q^6 - 12 * q^9	$ 48 q - 18 q^{4} - 6 q^{5} - 6 q^{6} - 12 q^{9} - 15 q^{10} - 12 q^{11} + 6 q^{14} + 3 q^{15} - 42 q^{16} + 12 q^{19} + 42 q^{20} - 54 q^{21} + 24 q^{24} + 12 q^{25} + 12 q^{26} + 18 q^{30} - 42 q^{31} - 36 q^{34} + 6 q^{35} + 18 q^{36} - 48 q^{39} + 66 q^{40} + 6 q^{41} - 6 q^{44} - 9 q^{45} - 6 q^{46} + 12 q^{49} - 18 q^{50} + 108 q^{51} + 24 q^{54} + 36 q^{56} - 36 q^{59} - 114 q^{60} + 48 q^{61} - 18 q^{65} + 180 q^{66} + 66 q^{69} - 123 q^{70} - 24 q^{71} + 84 q^{74} + 72 q^{75} + 66 q^{76} + 48 q^{79} - 39 q^{80} - 78 q^{81} - 54 q^{84} - 84 q^{85} - 42 q^{86} - 12 q^{89} + 18 q^{90} - 30 q^{91} - 72 q^{94} - 63 q^{95} - 240 q^{96} - 36 q^{99}+O(q^{100}) $ 48 * q - 18 * q^4 - 6 * q^5 - 6 * q^6 - 12 * q^9 - 15 * q^10 - 12 * q^11 + 6 * q^14 + 3 * q^15 - 42 * q^16 + 12 * q^19 + 42 * q^20 - 54 * q^21 + 24 * q^24 + 12 * q^25 + 12 * q^26 + 18 * q^30 - 42 * q^31 - 36 * q^34 + 6 * q^35 + 18 * q^36 - 48 * q^39 + 66 * q^40 + 6 * q^41 - 6 * q^44 - 9 * q^45 - 6 * q^46 + 12 * q^49 - 18 * q^50 + 108 * q^51 + 24 * q^54 + 36 * q^56 - 36 * q^59 - 114 * q^60 + 48 * q^61 - 18 * q^65 + 180 * q^66 + 66 * q^69 - 123 * q^70 - 24 * q^71 + 84 * q^74 + 72 * q^75 + 66 * q^76 + 48 * q^79 - 39 * q^80 - 78 * q^81 - 54 * q^84 - 84 * q^85 - 42 * q^86 - 12 * q^89 + 18 * q^90 - 30 * q^91 - 72 * q^94 - 63 * q^95 - 240 * q^96 - 36 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/95\mathbb{Z}\right)^\times$.

$n$	$21$	$77$
$\chi(n)$	$e\left(\frac{4}{9}\right)$	$-1$

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 $

$2$	1.20303	−	0.212126i	0.850669	−	0.149996i	0.268717	−	0.963219i	$-0.413400\pi$
$2$	1.20303	−	0.212126i	0.850669	−	0.149996i	0.581952	+	0.813223i	$0.302289\pi$
$3$	0.517072	+	0.616222i	0.298531	+	0.355776i	0.894370	−	0.447329i	$-0.147625\pi$
$3$	0.517072	+	0.616222i	0.298531	+	0.355776i	−0.595838	+	0.803104i	$0.703180\pi$
$4$	−0.477108	+	0.173653i	−0.238554	+	0.0868266i
$5$	2.06524	+	0.857189i	0.923605	+	0.383347i
$5$	2.06524	+	0.857189i	0.923605	+	0.383347i
$6$	0.752768	+	0.631647i	0.307316	+	0.257869i
$7$	−3.28379	−	1.89590i	−1.24116	−	0.716583i	−0.271828	−	0.962346i	$-0.587628\pi$
$7$	−3.28379	−	1.89590i	−1.24116	−	0.716583i	−0.969330	+	0.245763i	$0.920961\pi$
$8$	−2.65299	+	1.53170i	−0.937972	+	0.541539i
$9$	0.408578	−	2.31716i	0.136193	−	0.772387i
$10$	2.66638	+	0.593130i	0.843182	+	0.187564i
$11$	0.618663	+	1.07156i	0.186534	+	0.323086i	0.944092	−	0.329681i	$-0.106941\pi$
$11$	0.618663	+	1.07156i	0.186534	+	0.323086i	−0.757558	+	0.652767i	$0.773608\pi$
$12$	−0.353708	−	0.204213i	−0.102107	−	0.0589513i
$13$	2.22146	−	2.64744i	0.616123	−	0.734267i	−0.364275	−	0.931291i	$-0.618683\pi$
$13$	2.22146	−	2.64744i	0.616123	−	0.734267i	0.980399	+	0.197024i	$0.0631278\pi$
$14$	−4.35266	−	1.58424i	−1.16330	−	0.423406i
$15$	0.539659	+	1.71588i	0.139339	+	0.443037i
$16$	−2.08882	+	1.75273i	−0.522204	+	0.438181i
$17$	−2.96127	+	0.522152i	−0.718214	+	0.126640i	−0.520799	−	0.853680i	$-0.674366\pi$
$17$	−2.96127	+	0.522152i	−0.718214	+	0.126640i	−0.197415	+	0.980320i	$0.563255\pi$
$18$		−	2.87428i		−	0.677474i
$19$	−4.28612	+	0.793231i	−0.983302	+	0.181980i
$19$	−4.28612	+	0.793231i	−0.983302	+	0.181980i
$20$	−1.13420	−	0.0503361i	−0.253614	−	0.0112555i
$21$	−0.529662	−	3.00386i	−0.115582	−	0.655496i
$22$	0.971573	+	1.15788i	0.207140	+	0.246860i
$23$	2.10267	+	5.77705i	0.438438	+	1.20460i	0.940508	+	0.339771i	$0.110350\pi$
$23$	2.10267	+	5.77705i	0.438438	+	1.20460i	−0.502071	+	0.864827i	$0.667428\pi$
$24$	−2.31565	−	0.842829i	−0.472681	−	0.172042i
$25$	3.53045	+	3.54061i	0.706091	+	0.708122i
$26$	2.11089	−	3.65617i	0.413980	−	0.717034i
$27$	3.72910	−	2.15299i	0.717665	−	0.414344i
$28$	1.89595	+	0.334308i	0.358302	+	0.0631782i
$29$	0.744476	−	4.22213i	0.138246	−	0.784031i	−0.834299	−	0.551313i	$-0.814127\pi$
$29$	0.744476	−	4.22213i	0.138246	−	0.784031i	0.972544	−	0.232718i	$-0.0747618\pi$
$30$	1.01321	+	1.94977i	0.184985	+	0.355978i
$31$	−2.55067	+	4.41789i	−0.458114	+	0.793476i	−0.998861	−	0.0477088i	$-0.984808\pi$
$31$	−2.55067	+	4.41789i	−0.458114	+	0.793476i	0.540748	+	0.841185i	$0.318141\pi$
$32$	1.79713	−	2.14174i	0.317691	−	0.378610i
$33$	−0.340423	+	0.935304i	−0.0592600	+	0.162816i
$34$	−3.45173	+	1.25633i	−0.591966	+	0.215458i
$35$	−5.15669	−	6.73032i	−0.871639	−	1.13763i
$36$	0.207446	+	1.17649i	0.0345744	+	0.196081i
$37$			9.13084i			1.50110i	0.660813	+	0.750550i	$0.270211\pi$
$37$			9.13084i			1.50110i	−0.660813	+	0.750550i	$0.729789\pi$
$38$	−4.98805	+	1.86348i	−0.809168	+	0.302296i
$39$	2.78006			0.445167
$40$	−6.79202	+	0.889225i	−1.07391	+	0.140599i
$41$	4.08318	−	3.42620i	0.637686	−	0.535082i	−0.265621	−	0.964078i	$-0.585577\pi$
$41$	4.08318	−	3.42620i	0.637686	−	0.535082i	0.903307	+	0.428996i	$0.141132\pi$
$42$	−1.27440	−	3.50137i	−0.196643	−	0.540273i
$43$	3.12092	−	8.57465i	0.475935	−	1.30762i	−0.436979	−	0.899471i	$-0.643952\pi$
$43$	3.12092	−	8.57465i	0.475935	−	1.30762i	0.912915	−	0.408150i	$-0.133826\pi$
$44$	−0.481248	−	0.403815i	−0.0725509	−	0.0608774i
$45$	2.83006	−	4.43527i	0.421880	−	0.661171i
$46$	3.75504	+	6.50391i	0.553650	+	0.958950i
$47$	7.19237	+	1.26821i	1.04912	+	0.184987i	0.671522	−	0.740984i	$-0.265641\pi$
$47$	7.19237	+	1.26821i	1.04912	+	0.184987i	0.377593	+	0.925972i	$0.376752\pi$
$48$	−2.16014	−	0.380890i	−0.311789	−	0.0549768i
$49$	3.68887	+	6.38931i	0.526981	+	0.912758i
$50$	4.99829	+	3.51055i	0.706864	+	0.496466i
$51$	−1.85295	−	1.55481i	−0.259465	−	0.217717i
$52$	−0.600142	+	1.64888i	−0.0832248	+	0.228658i
$53$	−1.13973	−	3.13139i	−0.156554	−	0.430129i	0.836474	−	0.548007i	$-0.184613\pi$
$53$	−1.13973	−	3.13139i	−0.156554	−	0.430129i	−0.993028	+	0.117877i	$0.962391\pi$
$54$	4.02950	−	3.38115i	0.548345	−	0.460116i
$55$	0.359163	+	2.74333i	0.0484295	+	0.369911i
$56$	11.6158			1.55223
$57$	−2.70503	−	2.23104i	−0.358291	−	0.295509i
$58$		−	5.23727i		−	0.687687i
$59$	0.141926	+	0.804901i	0.0184772	+	0.104789i	0.992652	−	0.121008i	$-0.0386126\pi$
$59$	0.141926	+	0.804901i	0.0184772	+	0.104789i	−0.974174	+	0.225797i	$0.927501\pi$
$60$	−0.555443	−	0.724945i	−0.0717074	−	0.0935900i
$61$	−6.01592	+	2.18962i	−0.770260	+	0.280352i	−0.697105	−	0.716969i	$-0.745529\pi$
$61$	−6.01592	+	2.18962i	−0.770260	+	0.280352i	−0.0731548	+	0.997321i	$0.523307\pi$
$62$	−2.13137	+	5.85590i	−0.270685	+	0.743700i
$63$	−5.73479	+	6.83446i	−0.722516	+	0.861061i
$64$	4.43444	−	7.68067i	0.554305	−	0.960084i
$65$	6.85722	−	3.56338i	0.850533	−	0.441983i
$66$	−0.211136	+	1.19741i	−0.0259890	+	0.147391i
$67$	−0.995566	−	0.175545i	−0.121628	−	0.0214463i	0.112503	−	0.993651i	$-0.464113\pi$
$67$	−0.995566	−	0.175545i	−0.121628	−	0.0214463i	−0.234131	+	0.972205i	$0.575224\pi$
$68$	1.32217	−	0.763357i	0.160337	−	0.0925706i
$69$	−2.47271	+	4.28286i	−0.297679	+	0.515596i
$70$	−7.63131	−	7.00290i	−0.912116	−	0.837006i
$71$	−12.8546	−	4.67867i	−1.52555	−	0.555257i	−0.563027	−	0.826439i	$-0.690363\pi$
$71$	−12.8546	−	4.67867i	−1.52555	−	0.555257i	−0.962528	+	0.271182i	$0.912585\pi$
$72$	2.46525	+	6.77322i	0.290532	+	0.798231i
$73$	7.11096	+	8.47451i	0.832275	+	0.991867i	0.999982	+	0.00602966i	$0.00191931\pi$
$73$	7.11096	+	8.47451i	0.832275	+	0.991867i	−0.167707	+	0.985837i	$0.553636\pi$
$74$	1.93689	+	10.9846i	0.225159	+	1.27694i
$75$	−0.356303	+	4.00629i	−0.0411423	+	0.462607i
$76$	1.90719	−	1.12275i	0.218770	−	0.128789i
$77$		−	4.69169i		−	0.534668i
$78$	3.34449	−	0.589724i	0.378689	−	0.0667731i
$79$	1.06036	−	0.889746i	0.119300	−	0.100104i	−0.581186	−	0.813771i	$-0.697411\pi$
$79$	1.06036	−	0.889746i	0.119300	−	0.100104i	0.700486	+	0.713666i	$0.252967\pi$
$80$	−5.81633	+	1.82929i	−0.650286	+	0.204521i
$81$	−3.37810	−	1.22953i	−0.375344	−	0.136614i
$82$	4.18539	−	4.98796i	0.462199	−	0.550828i
$83$	−2.18283	−	1.26026i	−0.239597	−	0.138332i	0.375394	−	0.926865i	$-0.377507\pi$
$83$	−2.18283	−	1.26026i	−0.239597	−	0.138332i	−0.614992	+	0.788534i	$0.710841\pi$
$84$	0.774336	+	1.34119i	0.0844870	+	0.146336i
$85$	−6.56333	−	1.46000i	−0.711893	−	0.158359i
$86$	1.93564	−	10.9776i	0.208726	−	1.18374i
$87$	2.98672	−	1.72438i	0.320210	−	0.184873i
$88$	−3.28261	−	1.89521i	−0.349927	−	0.202031i
$89$	−2.06711	−	1.73451i	−0.219113	−	0.183858i	0.526624	−	0.850099i	$-0.323458\pi$
$89$	−2.06711	−	1.73451i	−0.219113	−	0.183858i	−0.745736	+	0.666241i	$0.767902\pi$
$90$	2.46380	−	5.93608i	0.259707	−	0.625718i
$91$	−12.3141	+	4.48197i	−1.29087	+	0.469838i
$92$	−2.00640	−	2.39114i	−0.209182	−	0.249294i
$93$	−4.04128	+	0.712586i	−0.419061	+	0.0738918i
$94$	8.92164			0.920197
$95$	−9.53182	−	2.03580i	−0.977944	−	0.208869i
$96$	2.24903			0.229541
$97$	−3.01600	+	0.531802i	−0.306228	+	0.0539963i	−0.324651	−	0.945834i	$-0.605247\pi$
$97$	−3.01600	+	0.531802i	−0.306228	+	0.0539963i	0.0184223	+	0.999830i	$0.494136\pi$
$98$	5.79315	+	6.90401i	0.585196	+	0.697410i
$99$	2.73574	−	0.995727i	0.274952	−	0.100074i
$100$	−2.29925	−	1.07618i	−0.229925	−	0.107618i
$101$	2.85509	+	2.39570i	0.284092	+	0.238381i	0.773686	−	0.633569i	$-0.218411\pi$
$101$	2.85509	+	2.39570i	0.284092	+	0.238381i	−0.489594	+	0.871950i	$0.662855\pi$
$102$	−2.55897	−	1.47742i	−0.253375	−	0.146286i
$103$	−11.4390	+	6.60432i	−1.12712	+	0.650743i	−0.943209	−	0.332200i	$-0.892209\pi$
$103$	−11.4390	+	6.60432i	−1.12712	+	0.650743i	−0.183911	+	0.982943i	$0.558876\pi$
$104$	−1.83843	+	10.4262i	−0.180273	+	1.02238i
$105$	1.48100	−	6.65772i	0.144531	−	0.649727i
$106$	−2.03538	−	3.52538i	−0.197693	−	0.342415i
$107$	−4.44535	−	2.56652i	−0.429748	−	0.248115i	0.269491	−	0.963003i	$-0.413145\pi$
$107$	−4.44535	−	2.56652i	−0.429748	−	0.248115i	−0.699239	+	0.714888i	$0.746478\pi$
$108$	−1.40531	+	1.67478i	−0.135226	+	0.161156i
$109$	−1.49202	−	0.543049i	−0.142909	−	0.0520147i	0.269575	−	0.962979i	$-0.413117\pi$
$109$	−1.49202	−	0.543049i	−0.142909	−	0.0520147i	−0.412485	+	0.910965i	$0.635339\pi$
$110$	1.01402	+	3.22412i	0.0966826	+	0.307407i
$111$	−5.62662	+	4.72130i	−0.534055	+	0.448126i
$112$	10.1822	−	1.79540i	0.962131	−	0.169650i
$113$		−	20.0832i		−	1.88927i	−0.328126	−	0.944634i	$-0.606417\pi$
$113$		−	20.0832i		−	1.88927i	0.328126	−	0.944634i	$-0.393583\pi$
$114$	−3.72749	−	2.11019i	−0.349112	−	0.197638i
$115$	−0.609493	+	13.7334i	−0.0568355	+	1.28065i
$116$	0.377991	+	2.14369i	0.0350956	+	0.199037i
$117$	−5.22690	−	6.22917i	−0.483227	−	0.575887i
$118$	0.341481	+	0.938212i	0.0314359	+	0.0863694i
$119$	10.7142	+	3.89963i	0.982165	+	0.357479i
$120$	−4.05992	−	3.72560i	−0.370618	−	0.340099i
$121$	4.73451	−	8.20042i	0.430410	−	0.745492i
$122$	−6.77284	+	3.91030i	−0.613184	+	0.354022i
$123$	4.22259	+	0.744557i	0.380738	+	0.0671345i
$124$	0.449765	−	2.55074i	0.0403901	−	0.229063i
$125$	4.25627	+	10.3385i	0.380692	+	0.924702i
$126$	−5.44934	+	9.43854i	−0.485466	+	0.840852i
$127$	−2.21957	+	2.64518i	−0.196955	+	0.234722i	−0.855479	−	0.517838i	$-0.826737\pi$
$127$	−2.21957	+	2.64518i	−0.196955	+	0.234722i	0.658523	+	0.752560i	$0.271181\pi$
$128$	1.79301	−	4.92625i	0.158481	−	0.435423i
$129$	6.89762	−	2.51053i	0.607302	−	0.221040i
$130$	7.49353	−	5.74144i	0.657226	−	0.503558i
$131$	−1.31755	−	7.47219i	−0.115115	−	0.652848i	−0.986693	−	0.162592i	$-0.948014\pi$
$131$	−1.31755	−	7.47219i	−0.115115	−	0.652848i	0.871579	−	0.490256i	$-0.163097\pi$
$132$		−	0.505357i		−	0.0439857i
$133$	15.5786	+	5.52124i	1.35084	+	0.478752i
$134$	−1.23493			−0.106682
$135$	9.54701	−	1.24991i	0.821676	−	0.107576i
$136$	7.05643	−	5.92105i	0.605084	−	0.507726i
$137$	1.26080	+	3.46401i	0.107717	+	0.295951i	0.981827	−	0.189778i	$-0.0607767\pi$
$137$	1.26080	+	3.46401i	0.107717	+	0.295951i	−0.874110	+	0.485728i	$0.838554\pi$
$138$	−2.06623	+	5.67692i	−0.175889	+	0.483252i
$139$	14.2693	+	11.9734i	1.21031	+	1.01557i	0.999274	+	0.0380898i	$0.0121273\pi$
$139$	14.2693	+	11.9734i	1.21031	+	1.01557i	0.211033	+	0.977479i	$0.432317\pi$
$140$	3.62904	+	2.31562i	0.306710	+	0.195705i
$141$	2.93747	+	5.08785i	0.247380	+	0.428474i
$142$	−16.4568	−	2.90179i	−1.38103	−	0.243512i
$143$	4.21121	+	0.742550i	0.352159	+	0.0620952i
$144$	3.20790	+	5.55625i	0.267325	+	0.463021i
$145$	5.15669	−	8.08157i	0.428240	−	0.671138i
$146$	10.3523	+	8.68665i	0.856766	+	0.718912i
$147$	−2.02982	+	5.57689i	−0.167417	+	0.459974i
$148$	−1.58560	−	4.35640i	−0.130335	−	0.358094i
$149$	−1.29297	+	1.08493i	−0.105924	+	0.0888807i	−0.694212	−	0.719771i	$-0.744247\pi$
$149$	−1.29297	+	1.08493i	−0.105924	+	0.0888807i	0.588288	+	0.808652i	$0.299802\pi$
$150$	0.421197	+	4.89526i	0.0343906	+	0.399696i
$151$	1.33890			0.108958			0.0544791	−	0.998515i	$-0.482650\pi$
$151$	1.33890			0.108958			0.0544791	+	0.998515i	$0.482650\pi$
$152$	10.1560	−	8.66948i	0.823761	−	0.703188i
$153$			7.07508i			0.571987i
$154$	−0.995230	−	5.64423i	−0.0801979	−	0.454825i
$155$	−9.05472	+	6.93760i	−0.727292	+	0.557242i
$156$	−1.32639	+	0.482767i	−0.106196	+	0.0386523i
$157$	2.06672	−	5.67825i	0.164942	−	0.453174i	−0.829494	−	0.558515i	$-0.811371\pi$
$157$	2.06672	−	5.67825i	0.164942	−	0.453174i	0.994436	+	0.105341i	$0.0335935\pi$
$158$	1.08690	−	1.29532i	0.0864692	−	0.103050i
$159$	1.34031	−	2.32148i	0.106293	−	0.184105i
$160$	5.54739	−	2.88273i	0.438560	−	0.227900i
$161$	4.04795	−	22.9571i	0.319023	−	1.80927i
$162$	−4.32476	−	0.762572i	−0.339785	−	0.0599133i
$163$	8.48469	−	4.89864i	0.664572	−	0.383691i	−0.129445	−	0.991587i	$-0.541319\pi$
$163$	8.48469	−	4.89864i	0.664572	−	0.383691i	0.794017	+	0.607896i	$0.207986\pi$
$164$	−1.35315	+	2.34372i	−0.105663	+	0.183014i
$165$	−1.50479	+	1.63982i	−0.117148	+	0.127660i
$166$	−2.89334	−	1.05309i	−0.224567	−	0.0817357i
$167$	−1.32578	−	3.64255i	−0.102592	−	0.281869i	0.877768	−	0.479086i	$-0.159032\pi$
$167$	−1.32578	−	3.64255i	−0.102592	−	0.281869i	−0.980360	+	0.197217i	$0.936810\pi$
$168$	6.00621	+	7.15792i	0.463389	+	0.552245i
$169$	0.183403	+	1.04013i	0.0141079	+	0.0800101i
$170$	−8.20556	−	0.364166i	−0.629338	−	0.0279303i
$171$	0.0868309	+	10.2557i	0.00664012	+	0.784274i
$172$			4.63299i			0.353262i
$173$	−4.66030	+	0.821737i	−0.354316	+	0.0624755i	−0.347973	−	0.937504i	$-0.613130\pi$
$173$	−4.66030	+	0.821737i	−0.354316	+	0.0624755i	−0.00634275	+	0.999980i	$0.502019\pi$
$174$	3.22732	−	2.70804i	0.244662	−	0.205296i
$175$	−4.88064	−	18.3200i	−0.368942	−	1.38486i
$176$	−3.17042	−	1.15394i	−0.238979	−	0.0869813i
$177$	−0.422612	+	0.503649i	−0.0317655	+	0.0378566i
$178$	−2.85472	−	1.64817i	−0.213970	−	0.123536i
$179$	−4.68907	−	8.12172i	−0.350478	−	0.607045i	0.635855	−	0.771808i	$-0.280647\pi$
$179$	−4.68907	−	8.12172i	−0.350478	−	0.607045i	−0.986333	+	0.164763i	$0.947314\pi$
$180$	−0.580045	+	2.60755i	−0.0432340	+	0.194356i
$181$	−3.38627	+	19.2045i	−0.251700	+	1.42746i	0.552704	+	0.833377i	$0.313596\pi$
$181$	−3.38627	+	19.2045i	−0.251700	+	1.42746i	−0.804404	+	0.594083i	$0.797515\pi$
$182$	−13.8635	+	8.00407i	−1.02763	+	0.593301i
$183$	−4.45995	−	2.57495i	−0.329689	−	0.190346i
$184$	−14.4271	−	12.1058i	−1.06358	−	0.892448i
$185$	−7.82686	+	18.8574i	−0.575442	+	1.38642i
$186$	−4.71061	+	1.71452i	−0.345399	+	0.125715i
$187$	−2.39154	−	2.85013i	−0.174887	−	0.208422i
$188$	−3.65177	+	0.643905i	−0.266332	+	0.0469616i
$189$	−16.3274			−1.18765
$190$	−11.8989	−	0.427174i	−0.863236	−	0.0309904i
$191$	15.5024			1.12171			0.560857	−	0.827913i	$-0.310472\pi$
$191$	15.5024			1.12171			0.560857	+	0.827913i	$0.310472\pi$
$192$	7.02592	−	1.23886i	0.507052	−	0.0894070i
$193$	−12.7550	−	15.2008i	−0.918122	−	1.09417i	−0.995269	−	0.0971550i	$-0.969026\pi$
$193$	−12.7550	−	15.2008i	−0.918122	−	1.09417i	0.0771477	−	0.997020i	$-0.475419\pi$
$194$	−3.51552	+	1.27955i	−0.252400	+	0.0918660i
$195$	5.74151	+	2.38304i	0.411158	+	0.170653i
$196$	−2.86951	−	2.40781i	−0.204965	−	0.171986i
$197$	22.4913	+	12.9854i	1.60244	+	0.925170i	0.990997	+	0.133882i	$0.0427444\pi$
$197$	22.4913	+	12.9854i	1.60244	+	0.925170i	0.611444	+	0.791288i	$0.290589\pi$
$198$	3.07995	−	1.77821i	0.218882	−	0.126372i
$199$	0.940467	−	5.33365i	0.0666680	−	0.378093i	−0.933159	−	0.359465i	$-0.882959\pi$
$199$	0.940467	−	5.33365i	0.0666680	−	0.378093i	0.999826	−	0.0186277i	$-0.00592971\pi$
$200$	−14.7894	−	3.98558i	−1.04577	−	0.281823i
$201$	−0.406604	−	0.704259i	−0.0286797	−	0.0496746i
$202$	3.94294	+	2.27646i	0.277424	+	0.160171i
$203$	−10.4494	+	12.4532i	−0.733407	+	0.874041i
$204$	1.15406	+	0.420042i	0.0808000	+	0.0294088i
$205$	11.3697	−	3.57587i	0.794091	−	0.249749i
$206$	−12.3605	+	10.3717i	−0.861197	+	0.722630i
$207$	14.2455	−	2.51186i	0.990128	−	0.174586i
$208$			9.42363i			0.653411i
$209$	−3.50165	−	4.10207i	−0.242214	−	0.283746i
$210$	0.369404	−	8.32358i	0.0254913	−	0.574382i
$211$	−3.49375	−	19.8141i	−0.240520	−	1.36406i	−0.830671	−	0.556764i	$-0.812043\pi$
$211$	−3.49375	−	19.8141i	−0.240520	−	1.36406i	0.590151	−	0.807293i	$-0.299068\pi$
$212$	1.08755	+	1.29609i	0.0746933	+	0.0890160i
$213$	−3.76362	−	10.3405i	−0.257879	−	0.708517i
$214$	−5.89230	−	2.14462i	−0.402790	−	0.146603i
$215$	13.7955	−	15.0335i	0.940848	−	1.02528i
$216$	−6.59549	+	11.4237i	−0.448767	+	0.777286i
$217$	16.7517	−	9.67162i	1.13718	−	0.656553i
$218$	−1.91013	−	0.336808i	−0.129370	−	0.0228115i
$219$	−1.54530	+	8.76386i	−0.104422	+	0.592207i
$220$	−0.647748	−	1.24650i	−0.0436711	−	0.0840388i
$221$	−5.19599	+	8.99972i	−0.349520	+	0.605387i
$222$	−5.76747	+	6.87340i	−0.387087	+	0.461313i
$223$	3.71080	−	10.1953i	0.248493	−	0.682730i	−0.751249	−	0.660019i	$-0.770548\pi$
$223$	3.71080	−	10.1953i	0.248493	−	0.682730i	0.999742	−	0.0227106i	$-0.00722963\pi$
$224$	−9.96194	+	3.62585i	−0.665610	+	0.242262i
$225$	9.64663	−	6.73402i	0.643108	−	0.448934i
$226$	−4.26017	−	24.1606i	−0.283382	−	1.60714i
$227$			8.78226i			0.582899i	0.956586	+	0.291449i	$0.0941375\pi$
$227$			8.78226i			0.582899i	−0.956586	+	0.291449i	$0.905862\pi$
$228$	1.67802	+	0.594710i	0.111130	+	0.0393856i
$229$	−18.0824			−1.19492			−0.597459	−	0.801899i	$-0.703823\pi$
$229$	−18.0824			−1.19492			−0.597459	+	0.801899i	$0.703823\pi$
$230$	2.17997	+	16.6509i	0.143743	+	1.09793i
$231$	2.89112	−	2.42594i	0.190222	−	0.159615i
$232$	4.49197	+	12.3416i	0.294912	+	0.810264i
$233$	−9.01763	+	24.7757i	−0.590765	+	1.62311i	0.178325	+	0.983972i	$0.442932\pi$
$233$	−9.01763	+	24.7757i	−0.590765	+	1.62311i	−0.769090	+	0.639141i	$0.779290\pi$
$234$	−7.60947	−	6.38511i	−0.497447	−	0.417407i
$235$	13.7669	+	8.78438i	0.898053	+	0.573030i
$236$	−0.207488	−	0.359379i	−0.0135063	−	0.0233936i
$237$	1.09656	+	0.193353i	0.0712293	+	0.0125597i
$238$	13.7166	+	2.41861i	0.889117	+	0.156775i
$239$	−4.58448	−	7.94056i	−0.296546	−	0.513632i	0.678798	−	0.734325i	$-0.262501\pi$
$239$	−4.58448	−	7.94056i	−0.296546	−	0.513632i	−0.975343	+	0.220693i	$0.929168\pi$
$240$	−4.13471	−	2.63828i	−0.266894	−	0.170300i
$241$	20.3130	+	17.0446i	1.30847	+	1.09794i	0.988614	+	0.150474i	$0.0480800\pi$
$241$	20.3130	+	17.0446i	1.30847	+	1.09794i	0.319859	+	0.947465i	$0.396364\pi$
$242$	3.95623	−	10.8696i	0.254316	−	0.698727i
$243$	−5.40726	−	14.8563i	−0.346876	−	0.953034i
$244$	2.49001	−	2.08937i	0.159407	−	0.133758i
$245$	2.14156	+	16.3575i	0.136819	+	1.04504i
$246$	5.23784			0.333952
$247$	−7.42142	+	13.1094i	−0.472214	+	0.834128i
$248$		−	15.6275i		−	0.992345i
$249$	−0.352082	−	1.99676i	−0.0223123	−	0.126539i
$250$	7.31347	+	11.5346i	0.462545	+	0.729513i
$251$	14.0457	−	5.11220i	0.886554	−	0.322679i	0.141703	−	0.989909i	$-0.454742\pi$
$251$	14.0457	−	5.11220i	0.886554	−	0.322679i	0.744852	+	0.667230i	$0.232520\pi$
$252$	1.54929	−	4.25664i	0.0975961	−	0.268143i
$253$	−4.88958	+	5.82717i	−0.307405	+	0.366351i
$254$	−2.10909	+	3.65306i	−0.132336	+	0.229213i
$255$	−2.49403	−	4.79939i	−0.156182	−	0.300549i
$256$	−1.96808	+	11.1615i	−0.123005	+	0.697595i
$257$	−10.6347	−	1.87519i	−0.663376	−	0.116971i	−0.168185	−	0.985755i	$-0.553791\pi$
$257$	−10.6347	−	1.87519i	−0.663376	−	0.116971i	−0.495191	+	0.868784i	$0.664902\pi$
$258$	7.76548	−	4.48340i	0.483458	−	0.279124i
$259$	17.3111	−	29.9838i	1.07566	−	1.86310i
$260$	−2.65284	+	2.89090i	−0.164522	+	0.179286i
$261$	−9.47919	−	3.45014i	−0.586747	−	0.213558i
$262$	−3.17009	−	8.70976i	−0.195849	−	0.538091i
$263$	0.352998	+	0.420687i	0.0217668	+	0.0259407i	0.776818	−	0.629725i	$-0.216832\pi$
$263$	0.352998	+	0.420687i	0.0217668	+	0.0259407i	−0.755051	+	0.655666i	$0.772388\pi$
$264$	−0.529470	−	3.00278i	−0.0325867	−	0.184808i
$265$	0.330370	−	7.44404i	0.0202944	−	0.457284i
$266$	19.9127	+	3.33757i	1.22093	+	0.204639i
$267$		−	2.17066i		−	0.132842i
$268$	0.505477	−	0.0891292i	0.0308769	−	0.00544443i
$269$	−16.7970	+	14.0944i	−1.02413	+	0.859350i	−0.990141	−	0.140072i	$-0.955266\pi$
$269$	−16.7970	+	14.0944i	−1.02413	+	0.859350i	−0.0339919	+	0.999422i	$0.510822\pi$
$270$	11.2202	−	3.52885i	0.682838	−	0.214759i
$271$	4.96664	+	1.80771i	0.301702	+	0.109810i	0.488435	−	0.872600i	$-0.337568\pi$
$271$	4.96664	+	1.80771i	0.301702	+	0.109810i	−0.186734	+	0.982411i	$0.559790\pi$
$272$	5.27036	−	6.28098i	0.319563	−	0.380840i
$273$	−9.12916	−	5.27072i	−0.552522	−	0.318999i
$274$	2.25158	+	3.89985i	0.136023	+	0.235599i
$275$	−1.60980	+	5.97352i	−0.0970744	+	0.360217i
$276$	0.436018	−	2.47278i	0.0262452	−	0.148844i
$277$	−15.1027	+	8.71954i	−0.907433	+	0.523906i	−0.879604	−	0.475706i	$-0.842193\pi$
$277$	−15.1027	+	8.71954i	−0.907433	+	0.523906i	−0.0278284	+	0.999613i	$0.508859\pi$
$278$	19.7062	+	11.3774i	1.18190	+	0.682371i
$279$	9.19481	+	7.71536i	0.550479	+	0.461907i
$280$	23.9895	+	9.95695i	1.43365	+	0.595042i
$281$	21.7859	−	7.92943i	1.29964	−	0.473030i	0.402760	−	0.915305i	$-0.368051\pi$
$281$	21.7859	−	7.92943i	1.29964	−	0.473030i	0.896879	+	0.442275i	$0.145829\pi$
$282$	4.61313	+	5.49771i	0.274708	+	0.327384i
$283$	−4.52409	+	0.797719i	−0.268929	+	0.0474195i	−0.306487	−	0.951875i	$-0.599153\pi$
$283$	−4.52409	+	0.797719i	−0.268929	+	0.0474195i	0.0375573	+	0.999294i	$0.488042\pi$
$284$	6.94548			0.412138
$285$	−3.67413	−	6.92637i	−0.217637	−	0.410283i
$286$	5.22372			0.308885
$287$	−19.9040	+	3.50962i	−1.17490	+	0.207166i
$288$	−4.22849	−	5.03932i	−0.249166	−	0.296944i
$289$	−7.47829	+	2.72188i	−0.439899	+	0.160110i
$290$	4.48933	−	10.8162i	0.263622	−	0.635150i
$291$	−1.88720	−	1.58355i	−0.110629	−	0.0928291i
$292$	−4.86432	−	2.80842i	−0.284663	−	0.164350i
$293$	−15.7033	+	9.06630i	−0.917396	+	0.529659i	−0.882804	−	0.469742i	$-0.844347\pi$
$293$	−15.7033	+	9.06630i	−0.917396	+	0.529659i	−0.0345929	+	0.999401i	$0.511013\pi$
$294$	−1.25893	+	7.13973i	−0.0734221	+	0.416398i
$295$	−0.396842	+	1.78397i	−0.0231050	+	0.103867i
$296$	−13.9857	−	24.2240i	−0.812904	−	1.40799i
$297$	4.61410	+	2.66395i	0.267738	+	0.154578i
$298$	−1.32533	+	1.57947i	−0.0767744	+	0.0914962i
$299$	19.9654	+	7.26680i	1.15463	+	0.420250i
$300$	−0.525710	−	1.97331i	−0.0303519	−	0.113929i
$301$	−26.5051	+	22.2404i	−1.52773	+	1.28192i
$302$	1.61073	−	0.284016i	0.0926873	−	0.0163433i
$303$			2.99812i			0.172237i
$304$	7.56259	−	9.16930i	0.433745	−	0.525895i
$305$	−14.3013	−	0.634695i	−0.818887	−	0.0363425i
$306$	1.50081	+	8.51152i	0.0857956	+	0.486571i
$307$	−2.83731	−	3.38137i	−0.161934	−	0.192985i	0.678976	−	0.734160i	$-0.262424\pi$
$307$	−2.83731	−	3.38137i	−0.161934	−	0.192985i	−0.840910	+	0.541175i	$0.817980\pi$
$308$	0.814726	+	2.23844i	0.0464234	+	0.127547i
$309$	−9.98452	−	3.63407i	−0.567999	−	0.206735i
$310$	−9.42142	+	10.2669i	−0.535101	+	0.583119i
$311$	−7.51688	+	13.0196i	−0.426243	+	0.738275i	−0.996536	−	0.0831667i	$-0.973497\pi$
$311$	−7.51688	+	13.0196i	−0.426243	+	0.738275i	0.570292	+	0.821442i	$0.306830\pi$
$312$	−7.37547	+	4.25823i	−0.417554	+	0.241075i
$313$	7.68691	+	1.35541i	0.434490	+	0.0766123i	0.386615	−	0.922241i	$-0.373644\pi$
$313$	7.68691	+	1.35541i	0.434490	+	0.0766123i	0.0478746	+	0.998853i	$0.484755\pi$
$314$	1.28181	−	7.26950i	0.0723367	−	0.410242i
$315$	−17.7022	+	9.19901i	−0.997404	+	0.518306i
$316$	−0.351398	+	0.608639i	−0.0197677	+	0.0342386i
$317$	17.5037	−	20.8601i	0.983107	−	1.17162i	−0.00205551	−	0.999998i	$-0.500654\pi$
$317$	17.5037	−	20.8601i	0.983107	−	1.17162i	0.985163	−	0.171624i	$-0.0549013\pi$
$318$	1.11998	−	3.07712i	0.0628053	−	0.172556i
$319$	4.98483	−	1.81433i	0.279097	−	0.101583i
$320$	15.7420	−	12.0613i	0.880003	−	0.674247i
$321$	−0.717016	−	4.06640i	−0.0400199	−	0.226964i
$322$		−	28.4767i		−	1.58694i
$323$	12.2782	−	4.58697i	0.683175	−	0.255226i
$324$	1.82523			0.101402
$325$	17.2163	−	1.48132i	0.954989	−	0.0821689i
$326$	9.16818	−	7.69302i	0.507779	−	0.426077i
$327$	−0.436840	−	1.20021i	−0.0241573	−	0.0663717i
$328$	−5.58471	+	15.3439i	−0.308364	+	0.847224i
$329$	−21.2139	−	17.8005i	−1.16956	−	0.981376i
$330$	−1.46245	+	2.29196i	−0.0805054	+	0.126168i
$331$	5.98999	+	10.3750i	0.329240	+	0.570260i	0.982361	−	0.186993i	$-0.0598742\pi$
$331$	5.98999	+	10.3750i	0.329240	+	0.570260i	−0.653121	+	0.757253i	$0.726541\pi$
$332$	1.26030	+	0.222224i	0.0691677	+	0.0121961i
$333$	21.1576	+	3.73066i	1.15943	+	0.204439i
$334$	−2.36763	−	4.10085i	−0.129551	−	0.224389i
$335$	−1.90561	−	1.21593i	−0.104115	−	0.0664335i
$336$	6.37131	+	5.34616i	0.347584	+	0.291657i
$337$	−1.41714	+	3.89355i	−0.0771963	+	0.212095i	−0.972288	−	0.233788i	$-0.924888\pi$
$337$	−1.41714	+	3.89355i	−0.0771963	+	0.212095i	0.895091	+	0.445883i	$0.147110\pi$
$338$	0.441278	+	1.21240i	0.0240024	+	0.0659460i
$339$	12.3757	−	10.3844i	0.672156	−	0.564006i
$340$	3.38495	−	0.443165i	0.183575	−	0.0240340i
$341$	−6.31201			−0.341815
$342$	2.27997	+	12.3195i	0.123286	+	0.666162i
$343$		−	1.43230i		−	0.0773370i
$344$	4.85406	+	27.5287i	0.261713	+	1.48425i
$345$	−8.77797	+	6.72556i	−0.472590	+	0.362092i
$346$	−5.43216	+	1.97714i	−0.292035	+	0.106292i
$347$	3.13610	−	8.61637i	0.168355	−	0.462551i	−0.826610	−	0.562775i	$-0.809734\pi$
$347$	3.13610	−	8.61637i	0.168355	−	0.462551i	0.994965	+	0.100224i	$0.0319559\pi$
$348$	−1.12554	+	1.34137i	−0.0603355	+	0.0719050i
$349$	−16.3441	+	28.3089i	−0.874881	+	1.51534i	−0.0179923	+	0.999838i	$0.505727\pi$
$349$	−16.3441	+	28.3089i	−0.874881	+	1.51534i	−0.856889	+	0.515501i	$0.827606\pi$
$350$	−9.75770	−	21.0042i	−0.521571	−	1.12272i
$351$	2.58413	−	14.6553i	0.137931	−	0.782244i
$352$	3.40681	+	0.600713i	0.181584	+	0.0320181i
$353$	22.9238	−	13.2351i	1.22011	−	0.704431i	0.255169	−	0.966897i	$-0.417869\pi$
$353$	22.9238	−	13.2351i	1.22011	−	0.704431i	0.964941	+	0.262466i	$0.0845357\pi$
$354$	−0.401577	+	0.695551i	−0.0213436	+	0.0369681i
$355$	−22.5373	−	20.6814i	−1.19615	−	1.09765i
$356$	1.28744	+	0.468589i	0.0682340	+	0.0248351i
$357$	3.13694	+	8.61868i	0.166025	+	0.456149i
$358$	−7.36391	−	8.77597i	−0.389195	−	0.463824i
$359$	−2.15533	−	12.2235i	−0.113754	−	0.645131i	−0.987360	−	0.158496i	$-0.949335\pi$
$359$	−2.15533	−	12.2235i	−0.113754	−	0.645131i	0.873606	−	0.486635i	$-0.161776\pi$
$360$	−0.714592	+	16.1015i	−0.0376623	+	0.848625i
$361$	17.7416	−	6.79976i	0.933767	−	0.357882i
$362$			23.8219i			1.25205i
$363$	7.50136	−	1.32269i	0.393719	−	0.0694233i
$364$	5.09685	−	4.27677i	0.267148	−	0.224163i
$365$	7.42159	+	23.5974i	0.388464	+	1.23514i
$366$	−5.91166	−	2.15167i	−0.309007	−	0.112469i
$367$	−3.42041	+	4.07628i	−0.178544	+	0.212780i	−0.847892	−	0.530168i	$-0.822129\pi$
$367$	−3.42041	+	4.07628i	−0.178544	+	0.212780i	0.669349	+	0.742948i	$0.266573\pi$
$368$	−14.5177	−	8.38178i	−0.756786	−	0.436931i
$369$	−6.27075	−	10.8613i	−0.326442	−	0.565415i
$370$	−5.41578	+	24.3462i	−0.281553	+	1.26570i
$371$	−2.19415	+	12.4437i	−0.113915	+	0.646042i
$372$	1.80438	−	1.04176i	0.0935529	−	0.0540128i
$373$	−16.7186	−	9.65250i	−0.865657	−	0.499788i	0.000245325	−	1.00000i	$-0.499922\pi$
$373$	−16.7186	−	9.65250i	−0.865657	−	0.499788i	−0.865903	+	0.500212i	$0.833255\pi$
$374$	−3.48168	−	2.92147i	−0.180033	−	0.151066i
$375$	−4.17000	+	7.96854i	−0.215338	+	0.411494i
$376$	−21.0238	+	7.65203i	−1.08422	+	0.394623i
$377$	−9.52401	−	11.3503i	−0.490511	−	0.584569i
$378$	−19.6424	+	3.46348i	−1.01029	+	0.178142i
$379$	−20.5109			−1.05357			−0.526787	−	0.849997i	$-0.676603\pi$
$379$	−20.5109			−1.05357			−0.526787	+	0.849997i	$0.676603\pi$
$380$	4.90123	−	0.683934i	0.251428	−	0.0350851i
$381$	−2.77770			−0.142306
$382$	18.6498	−	3.28846i	0.954207	−	0.168252i
$383$	14.6076	+	17.4086i	0.746411	+	0.889538i	0.996908	−	0.0785793i	$-0.0250384\pi$
$383$	14.6076	+	17.4086i	0.746411	+	0.889538i	−0.250497	+	0.968117i	$0.580594\pi$
$384$	3.96278	−	1.44233i	0.202225	−	0.0736038i
$385$	4.02167	−	9.68947i	0.204963	−	0.493821i
$386$	−18.5690	−	15.5813i	−0.945139	−	0.793066i
$387$	−18.5937	−	10.7351i	−0.945171	−	0.545695i
$388$	1.34661	−	0.777465i	0.0683637	−	0.0394698i
$389$	−0.876043	+	4.96829i	−0.0444172	+	0.251902i	−0.998929	−	0.0462710i	$-0.985266\pi$
$389$	−0.876043	+	4.96829i	−0.0444172	+	0.251902i	0.954512	+	0.298173i	$0.0963773\pi$
$390$	7.41269	+	1.64894i	0.375356	+	0.0834973i
$391$	−9.24308	−	16.0095i	−0.467443	−	0.809635i
$392$	−19.5730	−	11.3005i	−0.988588	−	0.570761i
$393$	3.92326	−	4.67556i	0.197902	−	0.235851i
$394$	29.8122	+	10.8508i	1.50192	+	0.546654i
$395$	2.95258	−	0.928613i	0.148560	−	0.0467236i
$396$	−1.13233	+	0.950139i	−0.0569018	+	0.0477463i
$397$	−22.5943	+	3.98399i	−1.13398	+	0.199951i	−0.708970	−	0.705239i	$-0.750840\pi$
$397$	−22.5943	+	3.98399i	−1.13398	+	0.199951i	−0.425008	+	0.905190i	$0.639729\pi$
$398$		−	6.61603i		−	0.331632i
$399$	4.65295	+	12.4548i	0.232939	+	0.623518i
$400$	−13.5802	−	1.20777i	−0.679009	−	0.0603883i
$401$	−3.95308	−	22.4191i	−0.197408	−	1.11955i	−0.908948	−	0.416909i	$-0.863113\pi$
$401$	−3.95308	−	22.4191i	−0.197408	−	1.11955i	0.711540	−	0.702645i	$-0.247998\pi$
$402$	−0.638548	−	0.760992i	−0.0318479	−	0.0379548i
$403$	6.02986	+	16.5669i	0.300369	+	0.825257i
$404$	−1.77821	−	0.647214i	−0.0884691	−	0.0322001i
$405$	−5.92265	−	5.43494i	−0.294299	−	0.270064i
$406$	−9.92933	+	17.1981i	−0.492784	+	0.853527i
$407$	−9.78420	+	5.64891i	−0.484985	+	0.280006i
$408$	7.29736	+	1.28672i	0.361273	+	0.0637022i
$409$	−4.13331	+	23.4412i	−0.204379	+	1.15909i	0.694035	+	0.719941i	$0.255831\pi$
$409$	−4.13331	+	23.4412i	−0.204379	+	1.15909i	−0.898414	+	0.439150i	$0.855280\pi$
$410$	12.9195	−	6.71367i	0.638047	−	0.331564i
$411$	−1.48268	+	2.56807i	−0.0731351	+	0.126674i
$412$	4.31079	−	5.13740i	0.212377	−	0.253101i
$413$	1.05996	−	2.91221i	0.0521571	−	0.143300i
$414$	16.6048	−	6.04367i	0.816084	−	0.297030i
$415$	−3.42780	−	4.47385i	−0.168264	−	0.219612i
$416$	−1.67786	−	9.51559i	−0.0822636	−	0.466540i
$417$			14.9842i			0.733777i
$418$	−5.08274	−	4.19211i	−0.248605	−	0.205043i
$419$	15.9374			0.778593			0.389296	−	0.921113i	$-0.372718\pi$
$419$	15.9374			0.778593			0.389296	+	0.921113i	$0.372718\pi$
$420$	0.449538	+	3.43363i	0.0219352	+	0.167544i
$421$	−2.03273	+	1.70566i	−0.0990692	+	0.0831290i	−0.690977	−	0.722877i	$-0.742819\pi$
$421$	−2.03273	+	1.70566i	−0.0990692	+	0.0831290i	0.591908	+	0.806006i	$0.298375\pi$
$422$	−8.40616	−	23.0957i	−0.409206	−	1.12428i
$423$	5.87729	−	16.1477i	0.285764	−	0.785129i
$424$	7.82005	+	6.56180i	0.379775	+	0.318669i
$425$	−12.3034	−	8.64127i	−0.596801	−	0.419163i
$426$	−6.72122	−	11.6415i	−0.325644	−	0.564033i
$427$	23.9063	+	4.21533i	1.15691	+	0.203994i
$428$	2.56660	+	0.452560i	0.124061	+	0.0218753i
$429$	1.71992	+	2.97899i	0.0830386	+	0.143827i
$430$	13.4074	−	21.0121i	0.646563	−	1.01329i
$431$	25.5262	+	21.4191i	1.22956	+	1.03172i	0.998268	+	0.0588349i	$0.0187386\pi$
$431$	25.5262	+	21.4191i	1.22956	+	1.03172i	0.231288	+	0.972885i	$0.425706\pi$
$432$	−4.01579	+	11.0333i	−0.193210	+	0.530840i
$433$	7.65442	+	21.0303i	0.367848	+	1.01065i	0.976178	+	0.216970i	$0.0696173\pi$
$433$	7.65442	+	21.0303i	0.367848	+	1.01065i	−0.608330	+	0.793684i	$0.708160\pi$
$434$	18.1012	−	15.1887i	0.868885	−	0.729081i
$435$	7.64642	−	1.00109i	0.366618	−	0.0479984i
$436$	0.806155			0.0386078
$437$	−13.5948	−	23.0932i	−0.650329	−	1.10470i
$438$			10.8710i			0.519435i
$439$	3.03121	+	17.1909i	0.144672	+	0.820475i	0.967630	+	0.252373i	$0.0812110\pi$
$439$	3.03121	+	17.1909i	0.144672	+	0.820475i	−0.822958	+	0.568102i	$0.807678\pi$
$440$	−5.15482	−	6.72789i	−0.245747	−	0.320740i
$441$	16.3122	−	5.93717i	0.776774	−	0.282723i
$442$	−4.34184	+	11.9291i	−0.206520	+	0.567410i
$443$	0.963275	−	1.14799i	0.0457666	−	0.0545425i	−0.742676	−	0.669651i	$-0.766444\pi$
$443$	0.963275	−	1.14799i	0.0457666	−	0.0545425i	0.788442	+	0.615109i	$0.210888\pi$
$444$	1.86464	−	3.22965i	0.0884918	−	0.153272i
$445$	−2.78228	−	5.35408i	−0.131892	−	0.253808i
$446$	2.30149	−	13.0524i	0.108979	−	0.618050i
$447$	−1.33711	−	0.235769i	−0.0632432	−	0.0111515i
$448$	−29.1236	+	16.8145i	−1.37596	+	0.794410i
$449$	5.99556	−	10.3846i	0.282948	−	0.490081i	−0.689161	−	0.724608i	$-0.742021\pi$
$449$	5.99556	−	10.3846i	0.282948	−	0.490081i	0.972110	+	0.234527i	$0.0753542\pi$
$450$	10.1767	−	10.1475i	0.479734	−	0.478358i
$451$	6.19747	+	2.25569i	0.291827	+	0.106217i
$452$	3.48751	+	9.58185i	0.164039	+	0.450693i
$453$	0.692307	+	0.825059i	0.0325274	+	0.0387647i
$454$	1.86295	+	10.5653i	0.0874324	+	0.495854i
$455$	−29.2735	−	1.29917i	−1.37236	−	0.0609060i
$456$	10.5937	+	1.77561i	0.496096	+	0.0831507i
$457$		−	12.9472i		−	0.605646i	−0.953047	−	0.302823i	$-0.902071\pi$
$457$		−	12.9472i		−	0.605646i	0.953047	−	0.302823i	$-0.0979291\pi$
$458$	−21.7536	+	3.83575i	−1.01648	+	0.179233i
$459$	−9.91867	+	8.32276i	−0.462964	+	0.388473i
$460$	−2.09405	−	6.65815i	−0.0976357	−	0.310438i
$461$	−13.0317	−	4.74315i	−0.606946	−	0.220910i	0.0202204	−	0.999796i	$-0.493563\pi$
$461$	−13.0317	−	4.74315i	−0.606946	−	0.220910i	−0.627166	+	0.778885i	$0.715785\pi$
$462$	2.96349	−	3.53175i	0.137874	−	0.164312i
$463$	−3.62408	−	2.09237i	−0.168425	−	0.0972405i	0.413418	−	0.910541i	$-0.364335\pi$
$463$	−3.62408	−	2.09237i	−0.168425	−	0.0972405i	−0.581843	+	0.813301i	$0.697668\pi$
$464$	5.84517	+	10.1241i	0.271355	+	0.470001i
$465$	−8.95704	−	1.99248i	−0.415373	−	0.0923989i
$466$	−5.59287	+	31.7188i	−0.259085	+	1.46934i
$467$	20.1800	−	11.6509i	0.933820	−	0.539141i	0.0458021	−	0.998951i	$-0.485416\pi$
$467$	20.1800	−	11.6509i	0.933820	−	0.539141i	0.888018	+	0.459810i	$0.152082\pi$
$468$	3.57551	+	2.06432i	0.165278	+	0.0954233i
$469$	2.93642	+	2.46395i	0.135591	+	0.113775i
$470$	18.4253	+	7.64753i	0.849898	+	0.352754i
$471$	4.56770	−	1.66251i	0.210469	−	0.0766043i
$472$	−1.60940	−	1.91800i	−0.0740785	−	0.0882833i
$473$	11.1190	−	1.96058i	0.511252	−	0.0901476i
$474$	1.36021			0.0624765
$475$	−17.9404	−	12.3750i	−0.823164	−	0.567803i
$476$	−5.78899			−0.265338
$477$	−7.72160	+	1.36153i	−0.353548	+	0.0623401i
$478$	−7.19966	−	8.58022i	−0.329305	−	0.392450i
$479$	32.9992	−	12.0107i	1.50777	−	0.548784i	0.549712	−	0.835354i	$-0.314737\pi$
$479$	32.9992	−	12.0107i	1.50777	−	0.548784i	0.958059	+	0.286570i	$0.0925151\pi$
$480$	4.64480	+	1.92785i	0.212005	+	0.0879938i
$481$	24.1733	+	20.2838i	1.10221	+	0.924863i
$482$	28.0527	+	16.1962i	1.27776	+	0.737717i
$483$	16.2397	−	9.37602i	0.738934	−	0.426624i
$484$	−0.834846	+	4.73465i	−0.0379476	+	0.215211i
$485$	−6.68463	−	1.48698i	−0.303533	−	0.0675204i
$486$	−9.65650	−	16.7255i	−0.438028	−	0.758686i
$487$	28.9434	+	16.7105i	1.31155	+	0.757223i	0.982353	−	0.187038i	$-0.0598889\pi$
$487$	28.9434	+	16.7105i	1.31155	+	0.757223i	0.329196	+	0.944262i	$0.393222\pi$
$488$	12.6063	−	15.0236i	0.570661	−	0.680088i
$489$	7.40584	+	2.69551i	0.334904	+	0.121895i
$490$	6.04622	+	19.2243i	0.273140	+	0.868464i
$491$	−13.4354	+	11.2737i	−0.606332	+	0.508773i	−0.893474	−	0.449115i	$-0.851739\pi$
$491$	−13.4354	+	11.2737i	−0.606332	+	0.508773i	0.287142	+	0.957888i	$0.407295\pi$
$492$	−2.14393	+	0.378032i	−0.0966558	+	0.0170430i
$493$			12.8916i			0.580609i
$494$	−6.14733	+	17.3452i	−0.276582	+	0.780397i
$495$	6.50349	+	0.288627i	0.292310	+	0.0129728i
$496$	−2.41546	−	13.6988i	−0.108458	−	0.615093i
$497$	33.3414	+	39.7347i	1.49557	+	1.78235i
$498$	−0.847128	−	2.32747i	−0.0379607	−	0.104296i
$499$	30.7119	+	11.1782i	1.37486	+	0.500407i	0.920615	−	0.390472i	$-0.127688\pi$
$499$	30.7119	+	11.1782i	1.37486	+	0.500407i	0.454241	+	0.890879i	$0.349910\pi$
$500$	−3.82601	−	4.19346i	−0.171104	−	0.187537i
$501$	1.55910	−	2.70043i	0.0696552	−	0.120646i
$502$	15.8129	−	9.12957i	0.705764	−	0.407473i
$503$	−17.2581	−	3.04306i	−0.769499	−	0.135684i	−0.224902	−	0.974381i	$-0.572206\pi$
$503$	−17.2581	−	3.04306i	−0.769499	−	0.135684i	−0.544597	+	0.838698i	$0.683317\pi$
$504$	4.74597	−	26.9157i	0.211402	−	1.19892i
$505$	3.84288	+	7.39506i	0.171006	+	0.329076i
$506$	−4.64620	+	8.04746i	−0.206549	+	0.357753i
$507$	−0.546119	+	0.650839i	−0.0242540	+	0.0289048i
$508$	0.599632	−	1.64748i	0.0266044	−	0.0730949i
$509$	28.1903	−	10.2604i	1.24951	−	0.454786i	0.369276	−	0.929320i	$-0.379606\pi$
$509$	28.1903	−	10.2604i	1.24951	−	0.454786i	0.880237	+	0.474534i	$0.157383\pi$
$510$	−4.01846	−	5.24475i	−0.177940	−	0.232241i
$511$	−7.28411	−	41.3102i	−0.322230	−	1.82746i
$512$			24.3299i			1.07524i
$513$	−14.2755	+	12.1860i	−0.630279	+	0.538026i
$514$	−13.1916			−0.581858
$515$	−29.2855	+	3.83412i	−1.29047	+	0.168951i
$516$	−2.85495	+	2.39559i	−0.125682	+	0.105460i
$517$	3.09070	+	8.49162i	0.135929	+	0.373461i
$518$	14.4654	−	39.7435i	0.635575	−	1.74623i
$519$	−2.91608	−	2.44688i	−0.128002	−	0.107406i
$520$	−12.7341	+	19.9568i	−0.558425	+	0.875165i
$521$	5.24373	+	9.08241i	0.229732	+	0.397907i	0.957729	−	0.287673i	$-0.0928817\pi$
$521$	5.24373	+	9.08241i	0.229732	+	0.397907i	−0.727997	+	0.685581i	$0.759548\pi$
$522$	−12.1356	−	2.13983i	−0.531160	−	0.0936579i
$523$	−32.2610	−	5.68848i	−1.41067	−	0.248740i	−0.584152	−	0.811644i	$-0.698573\pi$
$523$	−32.2610	−	5.68848i	−1.41067	−	0.248740i	−0.826522	+	0.562905i	$0.809684\pi$
$524$	1.92618	+	3.33625i	0.0841457	+	0.145745i
$525$	8.76555	−	12.4803i	0.382560	−	0.544686i
$526$	0.513906	+	0.431218i	0.0224073	+	0.0188020i
$527$	5.24641	−	14.4144i	0.228537	−	0.627901i
$528$	−0.928250	−	2.55035i	−0.0403969	−	0.110990i
$529$	−11.3340	+	9.51037i	−0.492783	+	0.413494i
$530$	−1.18163	−	9.02547i	−0.0513269	−	0.392041i
$531$	1.92307			0.0834543
$532$	−8.39146	+	0.0710470i	−0.363816	+	0.00308028i
$533$		−	18.4211i		−	0.797908i
$534$	−0.460454	−	2.61137i	−0.0199258	−	0.113005i
$535$	−6.98073	−	9.11100i	−0.301803	−	0.393903i
$536$	2.91011	−	1.05919i	0.125697	−	0.0457501i
$537$	2.58019	−	7.08902i	0.111343	−	0.305914i
$538$	−17.2175	+	20.5190i	−0.742299	+	0.884638i
$539$	−4.56433	+	7.90565i	−0.196600	+	0.340521i
$540$	−4.33790	+	2.25421i	−0.186674	+	0.0970059i
$541$	2.56927	−	14.5710i	0.110461	−	0.626458i	−0.878436	−	0.477860i	$-0.841413\pi$
$541$	2.56927	−	14.5710i	0.110461	−	0.626458i	0.988898	−	0.148598i	$-0.0474761\pi$
$542$	6.35846	+	1.12117i	0.273119	+	0.0481583i
$543$	−13.5852	+	7.84341i	−0.582996	+	0.336593i
$544$	−4.20348	+	7.28065i	−0.180223	+	0.312155i
$545$	−2.61588	−	2.40047i	−0.112052	−	0.102825i
$546$	−12.1007	−	4.40429i	−0.517862	−	0.188486i
$547$	0.550656	+	1.51291i	0.0235443	+	0.0646875i	0.950908	−	0.309474i	$-0.100153\pi$
$547$	0.550656	+	1.51291i	0.0235443	+	0.0646875i	−0.927364	+	0.374161i	$0.877931\pi$
$548$	−1.20307	−	1.43377i	−0.0513927	−	0.0612475i
$549$	2.61572	+	14.8345i	0.111636	+	0.633121i
$550$	−0.669491	+	7.52778i	−0.0285472	+	0.320986i
$551$	0.158216	+	18.6871i	0.00674022	+	0.796097i
$552$		−	15.1498i		−	0.644819i
$553$	−5.16886	+	0.911410i	−0.219802	+	0.0387571i
$554$	−16.3193	+	13.6935i	−0.693341	+	0.581782i
$555$	−15.6674	+	4.92754i	−0.665043	+	0.209162i
$556$	−8.88722	−	3.23468i	−0.376902	−	0.137181i
$557$	−14.3448	+	17.0954i	−0.607808	+	0.724357i	−0.978923	−	0.204230i	$-0.934531\pi$
$557$	−14.3448	+	17.0954i	−0.607808	+	0.724357i	0.371115	+	0.928587i	$0.378975\pi$
$558$	12.6982	+	7.33133i	0.537559	+	0.310360i
$559$	−15.7678	−	27.3107i	−0.666909	−	1.15512i
$560$	22.5678	+	5.02016i	0.953663	+	0.212141i
$561$	0.519714	−	2.94744i	0.0219423	−	0.124441i
$562$	24.5270	−	14.1607i	1.03461	−	0.597333i
$563$	2.09682	+	1.21060i	0.0883706	+	0.0510208i	0.543534	−	0.839387i	$-0.317086\pi$
$563$	2.09682	+	1.21060i	0.0883706	+	0.0510208i	−0.455163	+	0.890408i	$0.650419\pi$
$564$	−2.28501	−	1.91735i	−0.0962164	−	0.0807352i
$565$	17.2151	−	41.4767i	0.724245	−	1.74494i
$566$	−5.27339	+	1.91936i	−0.221657	+	0.0806766i
$567$	8.76192	+	10.4420i	0.367966	+	0.438525i
$568$	41.2693	−	7.27689i	1.73162	−	0.305332i
$569$	−25.3556			−1.06296			−0.531481	−	0.847070i	$-0.678364\pi$
$569$	−25.3556			−1.06296			−0.531481	+	0.847070i	$0.678364\pi$
$570$	−5.88934	−	7.55323i	−0.246677	−	0.316370i
$571$	3.79252			0.158712			0.0793561	−	0.996846i	$-0.474714\pi$
$571$	3.79252			0.158712			0.0793561	+	0.996846i	$0.474714\pi$
$572$	−2.13815	+	0.377013i	−0.0894005	+	0.0157637i
$573$	8.01585	+	9.55291i	0.334867	+	0.399079i
$574$	−23.2006	+	8.44434i	−0.968376	+	0.352460i
$575$	−13.0309	+	27.8403i	−0.543425	+	1.16102i
$576$	−15.9855	−	13.4135i	−0.666064	−	0.558894i
$577$	−31.8817	−	18.4069i	−1.32725	−	0.766289i	−0.342378	−	0.939562i	$-0.611232\pi$
$577$	−31.8817	−	18.4069i	−1.32725	−	0.766289i	−0.984874	+	0.173274i	$0.944566\pi$
$578$	−8.41921	+	4.86083i	−0.350193	+	0.202184i
$579$	2.77182	−	15.7198i	0.115193	−	0.653291i
$580$	−1.05691	+	4.75126i	−0.0438858	+	0.197285i
$581$	4.77865	+	8.27687i	0.198252	+	0.343382i
$582$	−2.60626	−	1.50472i	−0.108033	−	0.0623729i
$583$	2.65035	−	3.15856i	0.109766	−	0.130814i
$584$	−31.8457	−	11.5909i	−1.31778	−	0.479634i
$585$	−5.45523	−	17.3452i	−0.225546	−	0.717136i
$586$	−16.9683	+	14.2381i	−0.700954	+	0.588170i
$587$	−27.1575	+	4.78860i	−1.12091	+	0.197647i	−0.703240	−	0.710953i	$-0.748264\pi$
$587$	−27.1575	+	4.78860i	−1.12091	+	0.197647i	−0.417669	+	0.908599i	$0.637153\pi$
$588$		−	3.01326i		−	0.124265i
$589$	7.42806	−	20.9588i	0.306068	−	0.863594i
$590$	−0.0989838	+	2.23035i	−0.00407510	+	0.0918220i
$591$	3.62776	+	20.5740i	0.149226	+	0.846302i
$592$	−16.0039	−	19.0726i	−0.657754	−	0.783881i
$593$	−2.54255	−	6.98559i	−0.104410	−	0.286864i	0.876477	−	0.481444i	$-0.159888\pi$
$593$	−2.54255	−	6.98559i	−0.104410	−	0.286864i	−0.980887	+	0.194580i	$0.937665\pi$
$594$	6.11599	+	2.22604i	0.250942	+	0.0913354i
$595$	18.7846	+	17.2377i	0.770093	+	0.706679i
$596$	0.428484	−	0.742155i	0.0175514	−	0.0303999i
$597$	3.77300	−	2.17834i	0.154419	−	0.0891537i
$598$	25.5604	+	4.50698i	1.04524	+	0.184304i
$599$	−1.30033	+	7.37456i	−0.0531302	+	0.301316i	−0.999781	−	0.0209459i	$-0.993332\pi$
$599$	−1.30033	+	7.37456i	−0.0531302	+	0.301316i	0.946650	+	0.322262i	$0.104443\pi$
$600$	−5.19118	−	11.1744i	−0.211929	−	0.456192i
$601$	12.4586	−	21.5790i	0.508199	−	0.880226i	−0.491756	−	0.870733i	$-0.663645\pi$
$601$	12.4586	−	21.5790i	0.508199	−	0.880226i	0.999955	−	0.00949287i	$-0.00302172\pi$
$602$	−27.1686	+	32.3783i	−1.10731	+	1.31964i
$603$	−0.813533	+	2.23516i	−0.0331296	+	0.0910229i
$604$	−0.638800	+	0.232504i	−0.0259924	+	0.00946046i
$605$	16.8072	−	12.8775i	0.683311	−	0.523544i
$606$	0.635979	+	3.60682i	0.0258349	+	0.146517i
$607$		−	13.5201i		−	0.548764i	−0.961621	−	0.274382i	$-0.911527\pi$
$607$		−	13.5201i		−	0.548764i	0.961621	−	0.274382i	$-0.0884733\pi$
$608$	−6.00383	+	10.6053i	−0.243487	+	0.430101i
$609$	−13.0770			−0.529908
$610$	−17.3394	+	2.27011i	−0.702053	+	0.0919143i
$611$	19.3351	−	16.2241i	0.782214	−	0.656356i
$612$	−1.22861	−	3.37558i	−0.0496636	−	0.136450i
$613$	1.93380	−	5.31308i	0.0781055	−	0.214593i	−0.894494	−	0.447080i	$-0.852464\pi$
$613$	1.93380	−	5.31308i	0.0781055	−	0.214593i	0.972600	+	0.232487i	$0.0746862\pi$
$614$	−4.13064	−	3.46602i	−0.166699	−	0.139877i
$615$	8.08245	+	5.15725i	0.325916	+	0.207961i
$616$	7.18627	+	12.4470i	0.289543	+	0.501503i
$617$	−18.1567	−	3.20152i	−0.730963	−	0.128888i	−0.204234	−	0.978922i	$-0.565470\pi$
$617$	−18.1567	−	3.20152i	−0.730963	−	0.128888i	−0.526729	+	0.850034i	$0.676582\pi$
$618$	−12.7825	−	2.25391i	−0.514189	−	0.0906654i
$619$	−3.49951	−	6.06133i	−0.140657	−	0.243625i	0.787087	−	0.616842i	$-0.211588\pi$
$619$	−3.49951	−	6.06133i	−0.140657	−	0.243625i	−0.927744	+	0.373216i	$0.878255\pi$
$620$	3.11534	−	4.88237i	0.125115	−	0.196081i
$621$	20.2790	+	17.0161i	0.813769	+	0.682833i
$622$	−6.28121	+	17.2575i	−0.251854	+	0.691962i
$623$	3.49950	+	9.61480i	0.140205	+	0.385209i
$624$	−5.80705	+	4.87269i	−0.232468	+	0.195064i
$625$	−0.0718048	+	24.9999i	−0.00287219	+	0.999996i
$626$	9.53508			0.381099
$627$	0.717180	−	4.27886i	0.0286414	−	0.170881i
$628$			3.06803i			0.122428i
$629$	−4.76768	−	27.0389i	−0.190100	−	1.07811i
$630$	−19.3448	+	14.8218i	−0.770716	+	0.590513i
$631$	−26.3690	+	9.59752i	−1.04973	+	0.382071i	−0.808562	−	0.588412i	$-0.799753\pi$
$631$	−26.3690	+	9.59752i	−1.04973	+	0.382071i	−0.241170	+	0.970483i	$0.577531\pi$
$632$	−1.45029	+	3.98464i	−0.0576894	+	0.158500i
$633$	10.4033	−	12.3982i	0.413496	−	0.492785i
$634$	16.6325	−	28.8083i	0.660560	−	1.14412i
$635$	−6.85138	+	3.56035i	−0.271889	+	0.141288i
$636$	−0.236339	+	1.34035i	−0.00937146	+	0.0531482i
$637$	25.1100	+	4.42757i	0.994893	+	0.175427i
$638$	5.61202	−	3.24010i	0.222182	−	0.128277i
$639$	−16.0933	+	27.8745i	−0.636642	+	1.10270i
$640$	7.92573	−	8.63696i	0.313292	−	0.341406i
$641$	−25.2148	−	9.17744i	−0.995925	−	0.362487i	−0.207913	−	0.978147i	$-0.566667\pi$
$641$	−25.2148	−	9.17744i	−0.995925	−	0.362487i	−0.788012	+	0.615660i	$0.788889\pi$
$642$	−1.72518	−	4.73989i	−0.0680874	−	0.187069i
$643$	17.2770	+	20.5900i	0.681339	+	0.811989i	0.990279	−	0.139093i	$-0.0444187\pi$
$643$	17.2770	+	20.5900i	0.681339	+	0.811989i	−0.308940	+	0.951082i	$0.599974\pi$
$644$	2.05526	+	11.6560i	0.0809885	+	0.459309i
$645$	16.3973	+	0.727717i	0.645642	+	0.0286538i
$646$	13.7979	−	8.12278i	0.542873	−	0.319586i
$647$		−	8.88424i		−	0.349275i	−0.984633	−	0.174638i	$-0.944125\pi$
$647$		−	8.88424i		−	0.349275i	0.984633	−	0.174638i	$-0.0558754\pi$
$648$	10.8453	−	1.91232i	0.426044	−	0.0751231i
$649$	−0.774692	+	0.650044i	−0.0304093	+	0.0255164i
$650$	20.3975	−	5.43410i	0.800054	−	0.213143i
$651$	14.6217	+	5.32187i	0.573070	+	0.208580i
$652$	−3.19745	+	3.81057i	−0.125222	+	0.149234i
$653$	34.1303	+	19.7051i	1.33562	+	0.771121i	0.986155	−	0.165829i	$-0.0530299\pi$
$653$	34.1303	+	19.7051i	1.33562	+	0.771121i	0.349465	+	0.936949i	$0.386363\pi$
$654$	−0.780126	−	1.35122i	−0.0305053	−	0.0528368i
$655$	3.68402	−	16.5613i	0.143947	−	0.647103i
$656$	−2.52384	+	14.3134i	−0.0985393	+	0.558844i
$657$	22.5422	−	13.0147i	0.879455	−	0.507753i
$658$	−29.2968	−	16.9145i	−1.14211	−	0.659397i
$659$	−13.2617	−	11.1279i	−0.516603	−	0.433481i	0.346843	−	0.937923i	$-0.387254\pi$
$659$	−13.2617	−	11.1279i	−0.516603	−	0.433481i	−0.863446	+	0.504442i	$0.831698\pi$
$660$	0.433186	−	1.04368i	0.0168618	−	0.0406254i
$661$	−13.3832	+	4.87107i	−0.520544	+	0.189463i	−0.588911	−	0.808198i	$-0.700443\pi$
$661$	−13.3832	+	4.87107i	−0.520544	+	0.189463i	0.0683671	+	0.997660i	$0.478221\pi$
$662$	9.40693	+	11.2107i	0.365611	+	0.435718i
$663$	−8.23252	+	1.45162i	−0.319725	+	0.0563761i
$664$	7.72138			0.299647
$665$	27.4409	+	24.7565i	1.06411	+	0.960016i
$666$	26.2446			1.01696
$667$	25.9569	−	4.57689i	1.00505	−	0.177218i
$668$	1.26508	+	1.50766i	0.0489474	+	0.0583332i
$669$	8.20133	−	2.98504i	0.317082	−	0.115408i
$670$	−2.55043	−	1.05857i	−0.0985318	−	0.0408961i
$671$	−6.06812	−	5.09176i	−0.234257	−	0.196565i
$672$	−7.38536	−	4.26394i	−0.284896	−	0.164485i
$673$	−3.34892	+	1.93350i	−0.129091	+	0.0745310i	−0.563155	−	0.826351i	$-0.690413\pi$
$673$	−3.34892	+	1.93350i	−0.129091	+	0.0745310i	0.434064	+	0.900882i	$0.357079\pi$
$674$	−0.878929	+	4.98466i	−0.0338551	+	0.192002i
$675$	20.7883	+	5.60222i	0.800142	+	0.215630i
$676$	−0.268125	−	0.464407i	−0.0103125	−	0.0178618i
$677$	−13.6054	−	7.85508i	−0.522898	−	0.301895i	0.215222	−	0.976565i	$-0.430953\pi$
$677$	−13.6054	−	7.85508i	−0.522898	−	0.301895i	−0.738119	+	0.674670i	$0.764286\pi$
$678$	12.6855	−	15.1180i	0.487184	−	0.580603i
$679$	10.9122	+	3.97170i	0.418771	+	0.152420i
$680$	19.6487	−	6.17970i	0.753493	−	0.236981i
$681$	−5.41182	+	4.54106i	−0.207381	+	0.174014i
$682$	−7.59353	+	1.33894i	−0.290771	+	0.0512708i
$683$		−	11.3613i		−	0.434727i	−0.976091	−	0.217364i	$-0.930254\pi$
$683$		−	11.3613i		−	0.434727i	0.976091	−	0.217364i	$-0.0697458\pi$
$684$	−1.82237	−	4.87801i	−0.0696799	−	0.186515i
$685$	−0.365462	+	8.23477i	−0.0139636	+	0.314634i
$686$	−0.303829	−	1.72310i	−0.0116002	−	0.0657882i
$687$	−9.34989	−	11.1428i	−0.356721	−	0.425123i
$688$	8.50998	+	23.3810i	0.324440	+	0.891392i
$689$	−10.8220	−	3.93890i	−0.412287	−	0.150060i
$690$	−9.13347	+	9.95307i	−0.347705	+	0.378907i
$691$	1.00544	−	1.74147i	0.0382487	−	0.0662487i	−0.846267	−	0.532758i	$-0.821155\pi$
$691$	1.00544	−	1.74147i	0.0382487	−	0.0662487i	0.884516	+	0.466510i	$0.154489\pi$
$692$	2.08077	−	1.20133i	0.0790990	−	0.0456679i
$693$	−10.8714	−	1.91692i	−0.412970	−	0.0728178i
$694$	1.94506	−	11.0310i	0.0738334	−	0.418730i
$695$	19.2061	+	36.9594i	0.728531	+	1.40195i
$696$	−5.28248	+	9.14953i	−0.200232	+	0.346812i
$697$	−10.3024	+	12.2779i	−0.390232	+	0.465060i
$698$	−13.6574	+	37.5234i	−0.516940	+	1.42028i
$699$	−19.9301	+	7.25397i	−0.753826	+	0.274370i
$700$	5.50992	+	7.89309i	0.208255	+	0.298331i
$701$	2.16414	+	12.2735i	0.0817385	+	0.463562i	0.998013	+	0.0630107i	$0.0200702\pi$
$701$	2.16414	+	12.2735i	0.0817385	+	0.463562i	−0.916274	+	0.400551i	$0.868819\pi$
$702$		−	18.1789i		−	0.686120i
$703$	−7.24286	−	39.1358i	−0.273170	−	1.47604i
$704$	10.9737			0.413586
$705$	1.70534	+	13.0256i	0.0642268	+	0.490573i
$706$	24.7704	−	20.7849i	0.932248	−	0.782249i
$707$	−4.83351	−	13.2800i	−0.181783	−	0.499444i
$708$	0.114171	−	0.313683i	0.00429082	−	0.0117889i
$709$	2.69839	+	2.26422i	0.101340	+	0.0850346i	0.692050	−	0.721849i	$-0.256708\pi$
$709$	2.69839	+	2.26422i	0.101340	+	0.0850346i	−0.590710	+	0.806884i	$0.701152\pi$
$710$	−31.5000	−	20.0995i	−1.18217	−	0.754322i
$711$	−1.62845	−	2.82055i	−0.0610715	−	0.105779i
$712$	8.14076	+	1.43544i	0.305088	+	0.0537952i
$713$	−30.8856	−	5.44596i	−1.15667	−	0.203953i
$714$	5.60208	+	9.70308i	0.209653	+	0.363129i
$715$	8.06067	+	5.14335i	0.301452	+	0.192350i
$716$	3.64756	+	3.06066i	0.136316	+	0.114382i
$717$	2.52264	−	6.93090i	0.0942097	−	0.258839i
$718$	−5.18584	−	14.2480i	−0.193534	−	0.531730i
$719$	18.3135	−	15.3668i	0.682977	−	0.573086i	−0.233898	−	0.972261i	$-0.575148\pi$
$719$	18.3135	−	15.3668i	0.682977	−	0.573086i	0.916874	+	0.399176i	$0.130704\pi$
$720$	1.86234	+	14.2248i	0.0694053	+	0.530127i
$721$	50.0845			1.86524
$722$	19.9012	−	11.9437i	0.740645	−	0.444500i
$723$			21.3306i			0.793293i
$724$	−1.71931	−	9.75067i	−0.0638975	−	0.362381i
$725$	17.5773	−	12.2701i	0.652803	−	0.455702i
$726$	8.74376	−	3.18247i	0.324511	−	0.118113i
$727$	−1.87402	+	5.14882i	−0.0695034	+	0.190959i	−0.969581	−	0.244770i	$-0.921287\pi$
$727$	−1.87402	+	5.14882i	−0.0695034	+	0.190959i	0.900078	+	0.435730i	$0.143510\pi$
$728$	25.8041	−	30.7521i	0.956364	−	1.13975i
$729$	0.966510	−	1.67404i	0.0357967	−	0.0620016i
$730$	13.9340	+	26.8140i	0.515720	+	0.992429i
$731$	−4.76461	+	27.0215i	−0.176226	+	0.999424i
$732$	2.57503	+	0.454047i	0.0951758	+	0.0167821i
$733$	−16.3586	+	9.44464i	−0.604218	+	0.348846i	−0.770699	−	0.637199i	$-0.780093\pi$
$733$	−16.3586	+	9.44464i	−0.604218	+	0.348846i	0.166481	+	0.986045i	$0.446760\pi$
$734$	−3.25016	+	5.62944i	−0.119965	+	0.207786i
$735$	−8.97253	+	9.77769i	−0.330957	+	0.360656i
$736$	16.1517	+	5.87874i	0.595360	+	0.216693i
$737$	−0.427813	−	1.17541i	−0.0157587	−	0.0432967i
$738$	−9.84784	−	11.7362i	−0.362504	−	0.432016i
$739$	−6.07048	−	34.4274i	−0.223306	−	1.26643i	−0.865897	−	0.500223i	$-0.833251\pi$
$739$	−6.07048	−	34.4274i	−0.223306	−	1.26643i	0.642590	−	0.766210i	$-0.277860\pi$
$740$	0.459611	−	10.3562i	0.0168956	−	0.380700i
$741$	−11.9157	+	2.20523i	−0.437733	+	0.0810112i
$742$			15.4355i			0.566655i
$743$	27.2185	−	4.79935i	0.998549	−	0.176071i	0.349597	−	0.936900i	$-0.386319\pi$
$743$	27.2185	−	4.79935i	0.998549	−	0.176071i	0.648952	+	0.760829i	$0.275208\pi$
$744$	9.62999	−	8.08052i	0.353052	−	0.296246i
$745$	−3.60028	+	1.13232i	−0.131904	+	0.0414851i
$746$	−22.1605	−	8.06576i	−0.811354	−	0.295309i
$747$	−3.81209	+	4.54307i	−0.139477	+	0.166222i
$748$	1.63596	+	0.944521i	0.0598166	+	0.0345351i
$749$	9.73174	+	16.8559i	0.355590	+	0.615900i
$750$	−3.32629	+	10.4709i	−0.121459	+	0.382345i
$751$	9.32641	−	52.8927i	0.340326	−	1.93008i	−0.0261566	−	0.999658i	$-0.508327\pi$
$751$	9.32641	−	52.8927i	0.340326	−	1.93008i	0.366482	−	0.930425i	$-0.380562\pi$
$752$	−17.2464	+	9.95720i	−0.628910	+	0.363102i
$753$	10.4129	+	6.01187i	0.379466	+	0.219085i
$754$	−13.8653	−	11.6344i	−0.504946	−	0.423700i
$755$	2.76515	+	1.14769i	0.100634	+	0.0417687i
$756$	7.78996	−	2.83531i	0.283318	−	0.103119i
$757$	−15.7996	−	18.8292i	−0.574246	−	0.684360i	0.398251	−	0.917277i	$-0.369617\pi$
$757$	−15.7996	−	18.8292i	−0.574246	−	0.684360i	−0.972497	+	0.232917i	$0.925173\pi$
$758$	−24.6752	+	4.35090i	−0.896242	+	0.158032i
$759$	−6.11909			−0.222109
$760$	28.4060	−	9.19896i	1.03039	−	0.333681i
$761$	−0.906887			−0.0328746			−0.0164373	−	0.999865i	$-0.505232\pi$
$761$	−0.906887			−0.0328746			−0.0164373	+	0.999865i	$0.505232\pi$
$762$	−3.34165	+	0.589223i	−0.121055	+	0.0213453i
$763$	3.86991	+	4.61197i	0.140100	+	0.166965i
$764$	−7.39632	+	2.69204i	−0.267589	+	0.0973945i
$765$	−6.06469	+	14.6118i	−0.219269	+	0.528289i
$766$	21.2661	+	17.8444i	0.768376	+	0.644744i
$767$	2.44621	+	1.41232i	0.0883275	+	0.0509959i
$768$	−7.89561	+	4.55853i	−0.284908	+	0.164492i
$769$	−3.70205	+	20.9954i	−0.133499	+	0.757113i	0.842393	+	0.538863i	$0.181146\pi$
$769$	−3.70205	+	20.9954i	−0.133499	+	0.757113i	−0.975893	+	0.218250i	$0.929965\pi$
$770$	2.78278	−	12.5098i	0.100285	−	0.450822i
$771$	−4.34338	−	7.52296i	−0.156423	−	0.270933i
$772$	8.72515	+	5.03747i	0.314025	+	0.181302i
$773$	−10.6726	+	12.7191i	−0.383868	+	0.457476i	−0.923031	−	0.384725i	$-0.874296\pi$
$773$	−10.6726	+	12.7191i	−0.383868	+	0.457476i	0.539163	+	0.842201i	$0.318741\pi$
$774$	−24.6459	−	8.97038i	−0.885880	−	0.322434i
$775$	−24.6470	+	6.56623i	−0.885347	+	0.235866i
$776$	7.18685	−	6.03048i	0.257993	−	0.216482i
$777$	27.4278	−	4.83626i	0.983966	−	0.173500i
$778$			6.16282i			0.220948i
$779$	−14.7832	+	17.9240i	−0.529664	+	0.642193i
$780$	−3.15314	−	0.139938i	−0.112901	−	0.00501057i
$781$	−2.93917	−	16.6689i	−0.105172	−	0.596460i
$782$	−14.5157	−	17.2992i	−0.519081	−	0.618616i
$783$	−6.31401	−	17.3476i	−0.225644	−	0.619952i
$784$	−18.9041	−	6.88052i	−0.675145	−	0.245733i
$785$	9.13561	−	9.95541i	0.326064	−	0.355324i
$786$	3.72798	−	6.45705i	0.132973	−	0.230315i
$787$	−35.8079	+	20.6737i	−1.27641	+	0.736938i	−0.976187	−	0.216929i	$-0.930396\pi$
$787$	−35.8079	+	20.6737i	−1.27641	+	0.736938i	−0.300228	+	0.953868i	$0.597063\pi$
$788$	−12.9858	−	2.28974i	−0.462598	−	0.0815685i
$789$	−0.0767112	+	0.435051i	−0.00273099	+	0.0154882i
$790$	3.35505	−	1.74347i	0.119367	−	0.0620297i
$791$	−38.0757	+	65.9491i	−1.35382	+	2.34488i
$792$	−5.73272	+	6.83199i	−0.203703	+	0.242764i
$793$	−7.56728	+	20.7909i	−0.268722	+	0.738308i
$794$	−26.3365	+	9.58570i	−0.934647	+	0.340184i
$795$	4.75801	−	3.64552i	0.168749	−	0.129293i
$796$	0.477501	+	2.70804i	0.0169246	+	0.0959841i
$797$		−	22.7002i		−	0.804083i	−0.915621	−	0.402042i	$-0.868301\pi$
$797$		−	22.7002i		−	0.804083i	0.915621	−	0.402042i	$-0.131699\pi$
$798$	8.23960	+	13.9964i	0.291679	+	0.495467i
$799$	−21.9608			−0.776916
$800$	13.9278	−	1.19837i	0.492420	−	0.0423687i
$801$	−4.86371	+	4.08114i	−0.171851	+	0.144200i
$802$	−9.51134	−	26.1322i	−0.335857	−	0.922760i
$803$	−4.68162	+	12.8626i	−0.165211	+	0.453913i
$804$	0.316291	+	0.265400i	0.0111547	+	0.00935992i
$805$	28.0386	−	43.9421i	0.988230	−	1.54876i
$806$	10.7684	+	18.6514i	0.379299	+	0.656966i
$807$	−17.3705	−	3.06289i	−0.611472	−	0.107819i
$808$	−11.2440	−	1.98262i	−0.395563	−	0.0697484i
$809$	−13.5754	−	23.5133i	−0.477285	−	0.826683i	0.522376	−	0.852715i	$-0.325046\pi$
$809$	−13.5754	−	23.5133i	−0.477285	−	0.826683i	−0.999661	+	0.0260328i	$0.991713\pi$
$810$	−8.27801	−	5.28203i	−0.290860	−	0.185592i
$811$	−34.6710	−	29.0925i	−1.21746	−	1.02157i	−0.998953	−	0.0457400i	$-0.985435\pi$
$811$	−34.6710	−	29.0925i	−1.21746	−	1.02157i	−0.218512	−	0.975834i	$-0.570120\pi$
$812$	2.82298	−	7.75609i	0.0990673	−	0.272185i
$813$	1.45416	+	3.99526i	0.0509995	+	0.140120i
$814$	−10.5724	+	8.87127i	−0.370561	+	0.310938i
$815$	21.7220	−	2.84389i	0.760889	−	0.0996171i
$816$	6.59563			0.230893
$817$	−6.57493	+	39.2275i	−0.230028	+	1.37240i
$818$			29.0771i			1.01666i
$819$	5.35417	+	30.3650i	0.187090	+	1.06104i
$820$	−4.80360	+	3.68045i	−0.167749	+	0.128527i
$821$	−13.8883	+	5.05494i	−0.484706	+	0.176419i	−0.572802	−	0.819693i	$-0.694144\pi$
$821$	−13.8883	+	5.05494i	−0.484706	+	0.176419i	0.0880966	+	0.996112i	$0.471922\pi$
$822$	−1.23895	+	3.40398i	−0.0432132	+	0.118727i
$823$	24.5396	−	29.2452i	0.855398	−	1.01942i	−0.144156	−	0.989555i	$-0.546047\pi$
$823$	24.5396	−	29.2452i	0.855398	−	1.01942i	0.999554	−	0.0298685i	$-0.00950886\pi$
$824$	20.2317	−	35.0424i	0.704805	−	1.22076i
$825$	−4.51339	+	2.09674i	−0.157136	+	0.0729992i
$826$	0.657401	−	3.72831i	0.0228739	−	0.129724i
$827$	44.6391	+	7.87107i	1.55225	+	0.273704i	0.883015	−	0.469345i	$-0.155510\pi$
$827$	44.6391	+	7.87107i	1.55225	+	0.273704i	0.669237	+	0.743049i	$0.266621\pi$
$828$	−6.36043	+	3.67220i	−0.221040	+	0.127618i
$829$	18.9638	−	32.8463i	0.658640	−	1.14080i	−0.322328	−	0.946628i	$-0.604465\pi$
$829$	18.9638	−	32.8463i	0.658640	−	1.14080i	0.980968	−	0.194170i	$-0.0622013\pi$
$830$	−5.07276	−	4.65503i	−0.176078	−	0.161579i
$831$	−13.1823	−	4.79798i	−0.457290	−	0.166440i
$832$	−10.4832	−	28.8022i	−0.363438	−	0.998537i
$833$	−14.2599	−	16.9943i	−0.494077	−	0.588818i
$834$	3.17853	+	18.0264i	0.110064	+	0.624202i
$835$	0.384298	−	8.65919i	0.0132992	−	0.299664i
$836$	2.38300	+	1.34906i	0.0824179	+	0.0466581i
$837$			21.9663i			0.759267i
$838$	19.1731	−	3.38074i	0.662324	−	0.116786i
$839$	5.47159	−	4.59121i	0.188900	−	0.158506i	−0.543433	−	0.839453i	$-0.682876\pi$
$839$	5.47159	−	4.59121i	0.188900	−	0.158506i	0.732333	+	0.680946i	$0.238431\pi$
$840$	6.26858	+	19.9313i	0.216287	+	0.687695i
$841$	9.97892	+	3.63203i	0.344101	+	0.125242i
$842$	−2.08361	+	2.48316i	−0.0718061	+	0.0855752i
$843$	16.1512	+	9.32488i	0.556276	+	0.321166i
$844$	5.10767	+	8.84675i	0.175813	+	0.304518i
$845$	−0.512817	+	2.30533i	−0.0176415	+	0.0793059i
$846$	3.64519	−	20.6729i	0.125324	−	0.710748i
$847$	−31.0943	+	17.9523i	−1.06841	+	0.616849i
$848$	7.86916	+	4.54326i	0.270228	+	0.156016i
$849$	−2.83085	−	2.37537i	−0.0971546	−	0.0815223i
$850$	−16.6343	−	7.78581i	−0.570552	−	0.267051i
$851$	−52.7493	+	19.1992i	−1.80822	+	0.658139i
$852$	3.59131	+	4.27996i	0.123036	+	0.146629i
$853$	50.2637	−	8.86285i	1.72100	−	0.303458i	0.776047	−	0.630675i	$-0.217222\pi$
$853$	50.2637	−	8.86285i	1.72100	−	0.303458i	0.944949	+	0.327217i	$0.106111\pi$
$854$	29.6542			1.01474
$855$	−8.61177	+	21.2550i	−0.294516	+	0.726905i
$856$	15.7246			0.537456
$857$	13.3975	−	2.36234i	0.457650	−	0.0806961i	0.0599294	−	0.998203i	$-0.480912\pi$
$857$	13.3975	−	2.36234i	0.457650	−	0.0806961i	0.397721	+	0.917507i	$0.369801\pi$
$858$	2.70104	+	3.21897i	0.0922118	+	0.109894i
$859$	−36.1194	+	13.1464i	−1.23238	+	0.448549i	−0.874411	−	0.485185i	$-0.838752\pi$
$859$	−36.1194	+	13.1464i	−1.23238	+	0.448549i	−0.357967	+	0.933734i	$0.616530\pi$
$860$	−3.97135	+	9.56825i	−0.135422	+	0.326275i
$861$	−12.4545	−	10.4506i	−0.424449	−	0.356155i
$862$	35.2523	+	20.3529i	1.20070	+	0.693224i
$863$	47.0645	−	27.1727i	1.60210	−	0.924970i	0.611028	−	0.791609i	$-0.290756\pi$
$863$	47.0645	−	27.1727i	1.60210	−	0.924970i	0.991067	−	0.133362i	$-0.0425771\pi$
$864$	2.09053	−	11.8560i	0.0711212	−	0.403348i
$865$	−10.3290	−	2.29768i	−0.351198	−	0.0781233i
$866$	13.6696	+	23.6764i	0.464511	+	0.804556i
$867$	−5.54409	−	3.20088i	−0.188287	−	0.108708i
$868$	−6.31288	+	7.52340i	−0.214273	+	0.255361i
$869$	1.60942	+	0.585779i	0.0545957	+	0.0198712i
$870$	8.98650	−	2.82634i	0.304671	−	0.0958219i
$871$	−2.67636	+	2.24573i	−0.0906850	+	0.0760937i
$872$	4.79009	−	0.844622i	0.162213	−	0.0286025i
$873$			7.20584i			0.243881i
$874$	−21.2536	−	24.8979i	−0.718914	−	0.842184i
$875$	5.62400	−	42.0189i	0.190126	−	1.42050i
$876$	−0.784594	−	4.44965i	−0.0265090	−	0.150340i
$877$	8.69855	+	10.3665i	0.293729	+	0.350053i	0.892646	−	0.450759i	$-0.148846\pi$
$877$	8.69855	+	10.3665i	0.293729	+	0.350053i	−0.598917	+	0.800811i	$0.704402\pi$
$878$	7.29327	+	20.0381i	0.246136	+	0.676253i
$879$	−13.7066	−	4.98879i	−0.462312	−	0.168268i
$880$	−5.55853	−	5.10081i	−0.187378	−	0.171948i
$881$	13.9789	−	24.2121i	0.470960	−	0.815726i	−0.528488	−	0.848940i	$-0.677241\pi$
$881$	13.9789	−	24.2121i	0.470960	−	0.815726i	0.999448	+	0.0332142i	$0.0105743\pi$
$882$	18.3647	−	10.6028i	0.618370	−	0.357016i
$883$	−53.7200	−	9.47229i	−1.80782	−	0.318768i	−0.834987	−	0.550269i	$-0.814525\pi$
$883$	−53.7200	−	9.47229i	−1.80782	−	0.318768i	−0.972835	+	0.231501i	$0.925636\pi$
$884$	0.916220	−	5.19614i	0.0308158	−	0.174765i
$885$	−1.30452	+	0.677900i	−0.0438509	+	0.0227873i
$886$	0.915328	−	1.58539i	0.0307510	−	0.0532624i
$887$	23.1261	−	27.5606i	0.776497	−	0.925393i	−0.222272	−	0.974985i	$-0.571347\pi$
$887$	23.1261	−	27.5606i	0.776497	−	0.925393i	0.998770	+	0.0495912i	$0.0157918\pi$
$888$	7.69573	−	21.1438i	0.258252	−	0.709541i
$889$	12.3036	−	4.47815i	0.412650	−	0.150192i
$890$	−4.48289	−	5.85092i	−0.150267	−	0.196123i
$891$	−0.772397	−	4.38048i	−0.0258763	−	0.146752i
$892$			5.50867i			0.184444i
$893$	−31.8333	+	0.269519i	−1.06526	+	0.00901912i
$894$	−1.65860			−0.0554717
$895$	−2.72223	−	20.7927i	−0.0909940	−	0.695024i
$896$	−15.2276	+	12.7774i	−0.508717	+	0.426864i
$897$	5.84557	+	16.0606i	0.195178	+	0.536247i
$898$	5.00998	−	13.7648i	0.167185	−	0.459337i
$899$	16.7540	+	14.0583i	0.558777	+	0.468870i
$900$	−3.43310	+	4.88802i	−0.114437	+	0.162934i
$901$	5.01012	+	8.67778i	0.166911	+	0.289099i
$902$	7.93422	+	1.39902i	0.264181	+	0.0465822i
$903$	−27.4101	−	4.83314i	−0.912151	−	0.160837i
$904$	30.7615	+	53.2804i	1.02311	+	1.77208i
$905$	−23.4554	+	36.7593i	−0.779683	+	1.22192i
$906$	1.00788	+	0.845712i	0.0334846	+	0.0280969i
$907$	−1.50616	+	4.13814i	−0.0500112	+	0.137405i	−0.962183	−	0.272403i	$-0.912182\pi$
$907$	−1.50616	+	4.13814i	−0.0500112	+	0.137405i	0.912172	+	0.409807i	$0.134404\pi$
$908$	−1.52507	−	4.19009i	−0.0506111	−	0.139053i
$909$	6.71776	−	5.63687i	0.222814	−	0.186963i
$910$	−35.4924	+	4.64674i	−1.17656	+	0.154038i
$911$	−14.2563			−0.472333			−0.236166	−	0.971713i	$-0.575891\pi$
$911$	−14.2563			−0.472333			−0.236166	+	0.971713i	$0.575891\pi$
$912$	9.56072	−	0.0809466i	0.316587	−	0.00268041i
$913$		−	3.11870i		−	0.103214i
$914$	−2.74645	−	15.5759i	−0.0908444	−	0.515204i
$915$	−7.00366	−	9.14093i	−0.231534	−	0.302190i
$916$	8.62726	−	3.14006i	0.285053	−	0.103751i
$917$	−9.83996	+	27.0351i	−0.324944	+	0.892777i
$918$	−10.1670	+	12.1165i	−0.335560	+	0.399904i
$919$	−14.3638	+	24.8789i	−0.473819	+	0.820678i	−0.999551	−	0.0299723i	$-0.990458\pi$
$919$	−14.3638	+	24.8789i	−0.473819	+	0.820678i	0.525732	+	0.850650i	$0.323791\pi$
$920$	−19.4185	−	37.3681i	−0.640209	−	1.23199i
$921$	0.616585	−	3.49682i	0.0203172	−	0.115224i
$922$	−16.6836	−	2.94177i	−0.549446	−	0.0968821i
$923$	−40.9424	+	23.6381i	−1.34764	+	0.778058i
$924$	−0.958105	+	1.65949i	−0.0315194	+	0.0545931i
$925$	−32.3287	+	32.2360i	−1.06296	+	1.05991i
$926$	−4.80372	−	1.74841i	−0.157860	−	0.0574563i
$927$	10.6295	+	29.2044i	0.349120	+	0.959200i
$928$	−7.70479	−	9.18221i	−0.252922	−	0.301421i
$929$	5.32975	+	30.2265i	0.174864	+	0.991700i	0.938301	+	0.345819i	$0.112399\pi$
$929$	5.32975	+	30.2265i	0.174864	+	0.991700i	−0.763438	+	0.645881i	$0.776490\pi$
$930$	−11.1982	−	0.496981i	−0.367204	−	0.0162967i
$931$	−20.8791	−	24.4592i	−0.684285	−	0.801617i
$932$		−	13.3866i		−	0.438494i
$933$	−11.9097	+	2.10001i	−0.389908	+	0.0687512i
$934$	21.8056	−	18.2971i	0.713502	−	0.598699i
$935$	−2.49601	−	7.93621i	−0.0816284	−	0.259542i
$936$	23.4081	+	8.51986i	0.765119	+	0.278480i
$937$	32.4167	−	38.6327i	1.05901	−	1.26208i	0.0952059	−	0.995458i	$-0.469649\pi$
$937$	32.4167	−	38.6327i	1.05901	−	1.26208i	0.963802	−	0.266619i	$-0.0859065\pi$
$938$	4.05526	+	2.34131i	0.132409	+	0.0764463i
$939$	3.13945	+	5.43769i	0.102452	+	0.177452i
$940$	−8.09373	−	1.80044i	−0.263988	−	0.0587237i
$941$	1.48399	−	8.41611i	0.0483766	−	0.274357i	−0.951019	−	0.309134i	$-0.899961\pi$
$941$	1.48399	−	8.41611i	0.0483766	−	0.274357i	0.999395	+	0.0347766i	$0.0110720\pi$
$942$	5.14241	−	2.96897i	0.167549	−	0.0967344i
$943$	28.3789	+	16.3846i	0.924144	+	0.533555i
$944$	−1.70723	−	1.43253i	−0.0555655	−	0.0466250i
$945$	−33.7201	−	13.9957i	−1.09692	−	0.455280i
$946$	12.9606	−	4.71726i	0.421385	−	0.153371i
$947$	13.2302	+	15.7671i	0.429923	+	0.512362i	0.936900	−	0.349597i	$-0.113682\pi$
$947$	13.2302	+	15.7671i	0.429923	+	0.512362i	−0.506977	+	0.861959i	$0.669237\pi$
$948$	−0.556755	+	0.0981709i	−0.0180826	+	0.00318844i
$949$	38.2325			1.24108
$950$	−24.2079	−	11.0818i	−0.785408	−	0.359541i
$951$	21.9051			0.710323
$952$	−34.3976	+	6.06522i	−1.11483	+	0.196575i
$953$	−38.0480	−	45.3438i	−1.23249	−	1.46883i	−0.834098	−	0.551617i	$-0.814011\pi$
$953$	−38.0480	−	45.3438i	−1.23249	−	1.46883i	−0.398397	−	0.917213i	$-0.630433\pi$
$954$	−9.00049	+	3.27591i	−0.291401	+	0.106061i
$955$	32.0162	+	13.2885i	1.03602	+	0.430005i
$956$	3.56620	+	2.99239i	0.115339	+	0.0967810i
$957$	3.69554	+	2.13362i	0.119460	+	0.0689702i
$958$	37.1511	−	21.4492i	1.20030	−	0.692993i
$959$	2.42722	−	13.7654i	0.0783790	−	0.444510i
$960$	15.5722	+	3.46400i	0.502589	+	0.111800i
$961$	2.48818	+	4.30965i	0.0802638	+	0.139021i
$962$	33.3839	+	19.2742i	1.07634	+	0.621425i
$963$	−7.76332	+	9.25197i	−0.250170	+	0.298141i
$964$	−12.6513	−	4.60471i	−0.407472	−	0.148308i
$965$	−13.3121	−	42.3267i	−0.428533	−	1.36254i
$966$	17.5480	−	14.7245i	0.564596	−	0.473752i
$967$	−10.8299	+	1.90960i	−0.348266	+	0.0614087i	−0.345045	−	0.938586i	$-0.612136\pi$
$967$	−10.8299	+	1.90960i	−0.348266	+	0.0614087i	−0.00322103	+	0.999995i	$0.501025\pi$
$968$			29.0075i			0.932335i
$969$	9.17528	+	5.19428i	0.294753	+	0.166864i
$970$	−8.35722	−	0.370897i	−0.268334	−	0.0119088i
$971$	5.62086	+	31.8775i	0.180382	+	1.02300i	0.931746	+	0.363109i	$0.118285\pi$
$971$	5.62086	+	31.8775i	0.180382	+	1.02300i	−0.751365	+	0.659887i	$0.770604\pi$
$972$	5.15970	+	6.14909i	0.165497	+	0.197232i
$973$	−24.1572	−	66.3713i	−0.774444	−	2.12777i
$974$	38.3644	+	13.9635i	1.22927	+	0.447419i
$975$	9.81489	+	9.84312i	0.314328	+	0.315232i
$976$	8.72836	−	15.1180i	0.279388	−	0.483914i
$977$	−9.61615	+	5.55189i	−0.307648	+	0.177621i	−0.645873	−	0.763445i	$-0.723507\pi$
$977$	−9.61615	+	5.55189i	−0.307648	+	0.177621i	0.338226	+	0.941065i	$0.390173\pi$
$978$	9.48122	+	1.67179i	0.303176	+	0.0534581i
$979$	0.579780	−	3.28810i	0.0185298	−	0.105088i
$980$	−3.86229	−	7.43242i	−0.123376	−	0.237420i
$981$	−1.86794	+	3.23536i	−0.0596387	+	0.103297i
$982$	−13.7718	+	16.4125i	−0.439474	+	0.523745i
$983$	−4.28627	+	11.7764i	−0.136711	+	0.375610i	−0.989090	−	0.147315i	$-0.952937\pi$
$983$	−4.28627	+	11.7764i	−0.136711	+	0.375610i	0.852379	+	0.522925i	$0.175159\pi$
$984$	−12.3429	+	4.49246i	−0.393478	+	0.143214i
$985$	35.3191	+	46.0973i	1.12536	+	1.46878i
$986$	2.73465	+	15.5090i	0.0870889	+	0.493906i
$987$		−	22.2766i		−	0.709072i
$988$	1.26434	−	7.54333i	0.0402240	−	0.239985i
$989$	56.0984			1.78383
$990$	7.88510	−	1.03233i	0.250605	−	0.0328097i
$991$	28.1596	−	23.6287i	0.894519	−	0.750591i	−0.0745922	−	0.997214i	$-0.523766\pi$
$991$	28.1596	−	23.6287i	0.894519	−	0.750591i	0.969111	+	0.246623i	$0.0793211\pi$
$992$	4.87807	+	13.4024i	0.154879	+	0.425527i
$993$	−3.29603	+	9.05577i	−0.104596	+	0.287376i
$994$	48.5394	+	40.7294i	1.53958	+	1.29186i
$995$	6.51424	−	10.2091i	0.206515	−	0.323651i
$996$	0.514724	+	0.891528i	0.0163097	+	0.0282491i
$997$	24.1082	+	4.25092i	0.763513	+	0.134628i	0.541827	−	0.840490i	$-0.317733\pi$
$997$	24.1082	+	4.25092i	0.763513	+	0.134628i	0.221686	+	0.975118i	$0.428844\pi$
$998$	39.3185	+	6.93291i	1.24461	+	0.219458i
$999$	19.6586	+	34.0498i	0.621972	+	1.07729i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	95.2.p.a.9.6	yes	48
3.2	odd	2		855.2.da.b.199.3		48
5.2	odd	4		475.2.l.f.351.6		48
5.3	odd	4		475.2.l.f.351.3		48
5.4	even	2	inner	95.2.p.a.9.3	✓	48
15.14	odd	2		855.2.da.b.199.6		48
19.6	even	9		1805.2.b.k.1084.8		24
19.13	odd	18		1805.2.b.l.1084.17		24
19.17	even	9	inner	95.2.p.a.74.3	yes	48
57.17	odd	18		855.2.da.b.739.6		48
95.13	even	36		9025.2.a.ct.1.17		24
95.17	odd	36		475.2.l.f.226.6		48
95.32	even	36		9025.2.a.ct.1.8		24
95.44	even	18		1805.2.b.k.1084.17		24
95.63	odd	36		9025.2.a.cu.1.8		24
95.74	even	18	inner	95.2.p.a.74.6	yes	48
95.82	odd	36		9025.2.a.cu.1.17		24
95.89	odd	18		1805.2.b.l.1084.8		24
95.93	odd	36		475.2.l.f.226.3		48
285.74	odd	18		855.2.da.b.739.3		48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
95.2.p.a.9.3	✓	48	5.4	even	2	inner
95.2.p.a.9.6	yes	48	1.1	even	1	trivial
95.2.p.a.74.3	yes	48	19.17	even	9	inner
95.2.p.a.74.6	yes	48	95.74	even	18	inner
475.2.l.f.226.3		48	95.93	odd	36
475.2.l.f.226.6		48	95.17	odd	36
475.2.l.f.351.3		48	5.3	odd	4
475.2.l.f.351.6		48	5.2	odd	4
855.2.da.b.199.3		48	3.2	odd	2
855.2.da.b.199.6		48	15.14	odd	2
855.2.da.b.739.3		48	285.74	odd	18
855.2.da.b.739.6		48	57.17	odd	18
1805.2.b.k.1084.8		24	19.6	even	9
1805.2.b.k.1084.17		24	95.44	even	18
1805.2.b.l.1084.8		24	95.89	odd	18
1805.2.b.l.1084.17		24	19.13	odd	18
9025.2.a.ct.1.8		24	95.32	even	36
9025.2.a.ct.1.17		24	95.13	even	36
9025.2.a.cu.1.8		24	95.63	odd	36
9025.2.a.cu.1.17		24	95.82	odd	36

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:	\( N \)	\(=\)	\( 95 = 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	95.p (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(1.20303 - 0.212126i) q^{2} +(0.517072 + 0.616222i) q^{3} +(-0.477108 + 0.173653i) q^{4} +(2.06524 + 0.857189i) q^{5} +(0.752768 + 0.631647i) q^{6} +(-3.28379 - 1.89590i) q^{7} +(-2.65299 + 1.53170i) q^{8} +(0.408578 - 2.31716i) q^{9} +O(q^{10})\)	\(q+(1.20303 - 0.212126i) q^{2} +(0.517072 + 0.616222i) q^{3} +(-0.477108 + 0.173653i) q^{4} +(2.06524 + 0.857189i) q^{5} +(0.752768 + 0.631647i) q^{6} +(-3.28379 - 1.89590i) q^{7} +(-2.65299 + 1.53170i) q^{8} +(0.408578 - 2.31716i) q^{9} +(2.66638 + 0.593130i) q^{10} +(0.618663 + 1.07156i) q^{11} +(-0.353708 - 0.204213i) q^{12} +(2.22146 - 2.64744i) q^{13} +(-4.35266 - 1.58424i) q^{14} +(0.539659 + 1.71588i) q^{15} +(-2.08882 + 1.75273i) q^{16} +(-2.96127 + 0.522152i) q^{17} -2.87428i q^{18} +(-4.28612 + 0.793231i) q^{19} +(-1.13420 - 0.0503361i) q^{20} +(-0.529662 - 3.00386i) q^{21} +(0.971573 + 1.15788i) q^{22} +(2.10267 + 5.77705i) q^{23} +(-2.31565 - 0.842829i) q^{24} +(3.53045 + 3.54061i) q^{25} +(2.11089 - 3.65617i) q^{26} +(3.72910 - 2.15299i) q^{27} +(1.89595 + 0.334308i) q^{28} +(0.744476 - 4.22213i) q^{29} +(1.01321 + 1.94977i) q^{30} +(-2.55067 + 4.41789i) q^{31} +(1.79713 - 2.14174i) q^{32} +(-0.340423 + 0.935304i) q^{33} +(-3.45173 + 1.25633i) q^{34} +(-5.15669 - 6.73032i) q^{35} +(0.207446 + 1.17649i) q^{36} +9.13084i q^{37} +(-4.98805 + 1.86348i) q^{38} +2.78006 q^{39} +(-6.79202 + 0.889225i) q^{40} +(4.08318 - 3.42620i) q^{41} +(-1.27440 - 3.50137i) q^{42} +(3.12092 - 8.57465i) q^{43} +(-0.481248 - 0.403815i) q^{44} +(2.83006 - 4.43527i) q^{45} +(3.75504 + 6.50391i) q^{46} +(7.19237 + 1.26821i) q^{47} +(-2.16014 - 0.380890i) q^{48} +(3.68887 + 6.38931i) q^{49} +(4.99829 + 3.51055i) q^{50} +(-1.85295 - 1.55481i) q^{51} +(-0.600142 + 1.64888i) q^{52} +(-1.13973 - 3.13139i) q^{53} +(4.02950 - 3.38115i) q^{54} +(0.359163 + 2.74333i) q^{55} +11.6158 q^{56} +(-2.70503 - 2.23104i) q^{57} -5.23727i q^{58} +(0.141926 + 0.804901i) q^{59} +(-0.555443 - 0.724945i) q^{60} +(-6.01592 + 2.18962i) q^{61} +(-2.13137 + 5.85590i) q^{62} +(-5.73479 + 6.83446i) q^{63} +(4.43444 - 7.68067i) q^{64} +(6.85722 - 3.56338i) q^{65} +(-0.211136 + 1.19741i) q^{66} +(-0.995566 - 0.175545i) q^{67} +(1.32217 - 0.763357i) q^{68} +(-2.47271 + 4.28286i) q^{69} +(-7.63131 - 7.00290i) q^{70} +(-12.8546 - 4.67867i) q^{71} +(2.46525 + 6.77322i) q^{72} +(7.11096 + 8.47451i) q^{73} +(1.93689 + 10.9846i) q^{74} +(-0.356303 + 4.00629i) q^{75} +(1.90719 - 1.12275i) q^{76} -4.69169i q^{77} +(3.34449 - 0.589724i) q^{78} +(1.06036 - 0.889746i) q^{79} +(-5.81633 + 1.82929i) q^{80} +(-3.37810 - 1.22953i) q^{81} +(4.18539 - 4.98796i) q^{82} +(-2.18283 - 1.26026i) q^{83} +(0.774336 + 1.34119i) q^{84} +(-6.56333 - 1.46000i) q^{85} +(1.93564 - 10.9776i) q^{86} +(2.98672 - 1.72438i) q^{87} +(-3.28261 - 1.89521i) q^{88} +(-2.06711 - 1.73451i) q^{89} +(2.46380 - 5.93608i) q^{90} +(-12.3141 + 4.48197i) q^{91} +(-2.00640 - 2.39114i) q^{92} +(-4.04128 + 0.712586i) q^{93} +8.92164 q^{94} +(-9.53182 - 2.03580i) q^{95} +2.24903 q^{96} +(-3.01600 + 0.531802i) q^{97} +(5.79315 + 6.90401i) q^{98} +(2.73574 - 0.995727i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q - 18 q^{4} - 6 q^{5} - 6 q^{6} - 12 q^{9}+O(q^{10}) \) 48 * q - 18 * q^4 - 6 * q^5 - 6 * q^6 - 12 * q^9	\( 48 q - 18 q^{4} - 6 q^{5} - 6 q^{6} - 12 q^{9} - 15 q^{10} - 12 q^{11} + 6 q^{14} + 3 q^{15} - 42 q^{16} + 12 q^{19} + 42 q^{20} - 54 q^{21} + 24 q^{24} + 12 q^{25} + 12 q^{26} + 18 q^{30} - 42 q^{31} - 36 q^{34} + 6 q^{35} + 18 q^{36} - 48 q^{39} + 66 q^{40} + 6 q^{41} - 6 q^{44} - 9 q^{45} - 6 q^{46} + 12 q^{49} - 18 q^{50} + 108 q^{51} + 24 q^{54} + 36 q^{56} - 36 q^{59} - 114 q^{60} + 48 q^{61} - 18 q^{65} + 180 q^{66} + 66 q^{69} - 123 q^{70} - 24 q^{71} + 84 q^{74} + 72 q^{75} + 66 q^{76} + 48 q^{79} - 39 q^{80} - 78 q^{81} - 54 q^{84} - 84 q^{85} - 42 q^{86} - 12 q^{89} + 18 q^{90} - 30 q^{91} - 72 q^{94} - 63 q^{95} - 240 q^{96} - 36 q^{99}+O(q^{100}) \) 48 * q - 18 * q^4 - 6 * q^5 - 6 * q^6 - 12 * q^9 - 15 * q^10 - 12 * q^11 + 6 * q^14 + 3 * q^15 - 42 * q^16 + 12 * q^19 + 42 * q^20 - 54 * q^21 + 24 * q^24 + 12 * q^25 + 12 * q^26 + 18 * q^30 - 42 * q^31 - 36 * q^34 + 6 * q^35 + 18 * q^36 - 48 * q^39 + 66 * q^40 + 6 * q^41 - 6 * q^44 - 9 * q^45 - 6 * q^46 + 12 * q^49 - 18 * q^50 + 108 * q^51 + 24 * q^54 + 36 * q^56 - 36 * q^59 - 114 * q^60 + 48 * q^61 - 18 * q^65 + 180 * q^66 + 66 * q^69 - 123 * q^70 - 24 * q^71 + 84 * q^74 + 72 * q^75 + 66 * q^76 + 48 * q^79 - 39 * q^80 - 78 * q^81 - 54 * q^84 - 84 * q^85 - 42 * q^86 - 12 * q^89 + 18 * q^90 - 30 * q^91 - 72 * q^94 - 63 * q^95 - 240 * q^96 - 36 * q^99

Introduction

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