LMFDB - Embedded newform 418.2.j.d.23.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [418,2,Mod(23,418)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(418, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 2]))

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

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

chi := DirichletCharacter("418.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 418 = 2 \cdot 11 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	418.j (of order $9$, 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:	$3.33774680449$
Analytic rank:	$0$
Dimension:	$30$
Relative dimension:	$5$ over $\Q(\zeta_{9})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			23.2
Character	$\chi$	$=$	418.23
Dual form			418.2.j.d.309.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.939693 - 0.342020i) q^{2} +(-0.235710 - 1.33678i) q^{3} +(0.766044 + 0.642788i) q^{4} +(2.14622 - 1.80090i) q^{5} +(-0.235710 + 1.33678i) q^{6} +(2.28653 - 3.96039i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(1.08766 - 0.395875i) q^{9} +O(q^{10})$	\(q+(-0.939693 - 0.342020i) q^{2} +(-0.235710 - 1.33678i) q^{3} +(0.766044 + 0.642788i) q^{4} +(2.14622 - 1.80090i) q^{5} +(-0.235710 + 1.33678i) q^{6} +(2.28653 - 3.96039i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(1.08766 - 0.395875i) q^{9} +(-2.63273 + 0.958237i) q^{10} +(0.500000 + 0.866025i) q^{11} +(0.678701 - 1.17554i) q^{12} +(-1.08181 + 6.13527i) q^{13} +(-3.50317 + 2.93951i) q^{14} +(-2.91329 - 2.44454i) q^{15} +(0.173648 + 0.984808i) q^{16} +(2.83274 + 1.03103i) q^{17} -1.15746 q^{18} +(-2.85205 - 3.29633i) q^{19} +2.80170 q^{20} +(-5.83313 - 2.12309i) q^{21} +(-0.173648 - 0.984808i) q^{22} +(5.86216 + 4.91894i) q^{23} +(-1.03983 + 0.872521i) q^{24} +(0.494812 - 2.80622i) q^{25} +(3.11496 - 5.39526i) q^{26} +(-2.82167 - 4.88728i) q^{27} +(4.29728 - 1.56408i) q^{28} +(-4.89463 + 1.78150i) q^{29} +(1.90151 + 3.29352i) q^{30} +(1.70841 - 2.95905i) q^{31} +(0.173648 - 0.984808i) q^{32} +(1.03983 - 0.872521i) q^{33} +(-2.30927 - 1.93771i) q^{34} +(-2.22484 - 12.6177i) q^{35} +(1.08766 + 0.395875i) q^{36} -5.26253 q^{37} +(1.55264 + 4.07300i) q^{38} +8.45649 q^{39} +(-2.63273 - 0.958237i) q^{40} +(-0.0499896 - 0.283505i) q^{41} +(4.75521 + 3.99009i) q^{42} +(-6.74221 + 5.65739i) q^{43} +(-0.173648 + 0.984808i) q^{44} +(1.62143 - 2.80840i) q^{45} +(-3.82625 - 6.62726i) q^{46} +(-9.82777 + 3.57702i) q^{47} +(1.27554 - 0.464259i) q^{48} +(-6.95647 - 12.0490i) q^{49} +(-1.42475 + 2.46775i) q^{50} +(0.710557 - 4.02977i) q^{51} +(-4.77239 + 4.00451i) q^{52} +(2.65212 + 2.22539i) q^{53} +(0.979956 + 5.55761i) q^{54} +(2.63273 + 0.958237i) q^{55} -4.57307 q^{56} +(-3.73421 + 4.58954i) q^{57} +5.20876 q^{58} +(11.1847 + 4.07089i) q^{59} +(-0.660389 - 3.74525i) q^{60} +(-4.80421 - 4.03121i) q^{61} +(-2.61743 + 2.19629i) q^{62} +(0.919146 - 5.21273i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(8.72717 + 15.1159i) q^{65} +(-1.27554 + 0.464259i) q^{66} +(3.04635 - 1.10878i) q^{67} +(1.50727 + 2.61067i) q^{68} +(5.19376 - 8.99586i) q^{69} +(-2.22484 + 12.6177i) q^{70} +(8.00625 - 6.71804i) q^{71} +(-0.886667 - 0.744002i) q^{72} +(2.21890 + 12.5840i) q^{73} +(4.94516 + 1.79989i) q^{74} -3.86793 q^{75} +(-0.0659542 - 4.35840i) q^{76} +4.57307 q^{77} +(-7.94650 - 2.89229i) q^{78} +(0.0785784 + 0.445640i) q^{79} +(2.14622 + 1.80090i) q^{80} +(-3.20812 + 2.69193i) q^{81} +(-0.0499896 + 0.283505i) q^{82} +(-3.07459 + 5.32534i) q^{83} +(-3.10374 - 5.37584i) q^{84} +(7.93648 - 2.88864i) q^{85} +(8.27054 - 3.01023i) q^{86} +(3.53519 + 6.12312i) q^{87} +(0.500000 - 0.866025i) q^{88} +(-1.72607 + 9.78902i) q^{89} +(-2.48417 + 2.08447i) q^{90} +(21.8245 + 18.3129i) q^{91} +(1.32884 + 7.53625i) q^{92} +(-4.35828 - 1.58628i) q^{93} +10.4585 q^{94} +(-12.0575 - 1.93843i) q^{95} -1.35740 q^{96} +(-11.2207 - 4.08400i) q^{97} +(2.41596 + 13.7016i) q^{98} +(0.886667 + 0.744002i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 30 q - 15 q^{8}+O(q^{10}) $ 30 * q - 15 * q^8	$ 30 q - 15 q^{8} + 15 q^{11} - 3 q^{12} - 21 q^{13} - 9 q^{14} + 3 q^{15} + 6 q^{17} + 60 q^{18} - 9 q^{19} + 18 q^{20} - 39 q^{21} + 15 q^{23} + 24 q^{25} - 3 q^{27} + 9 q^{28} - 3 q^{29} - 21 q^{30} - 18 q^{31} + 15 q^{34} + 51 q^{35} - 18 q^{37} - 6 q^{38} - 6 q^{41} + 51 q^{42} + 39 q^{43} - 54 q^{45} - 21 q^{46} - 3 q^{47} - 33 q^{49} - 24 q^{50} - 48 q^{51} - 12 q^{52} - 24 q^{53} - 9 q^{54} - 6 q^{57} - 18 q^{58} + 21 q^{59} + 3 q^{60} + 63 q^{61} - 27 q^{62} + 57 q^{63} - 15 q^{64} - 6 q^{65} - 45 q^{67} - 21 q^{68} + 42 q^{69} + 51 q^{70} - 48 q^{71} + 87 q^{73} + 9 q^{74} + 42 q^{75} - 9 q^{76} - 36 q^{78} - 57 q^{79} + 36 q^{81} - 6 q^{82} - 30 q^{83} + 9 q^{84} + 81 q^{85} - 24 q^{86} - 9 q^{87} + 15 q^{88} - 6 q^{89} - 114 q^{90} - 51 q^{91} - 3 q^{92} + 33 q^{93} + 78 q^{94} - 132 q^{95} + 6 q^{96} - 66 q^{97} + 9 q^{98}+O(q^{100}) $ 30 * q - 15 * q^8 + 15 * q^11 - 3 * q^12 - 21 * q^13 - 9 * q^14 + 3 * q^15 + 6 * q^17 + 60 * q^18 - 9 * q^19 + 18 * q^20 - 39 * q^21 + 15 * q^23 + 24 * q^25 - 3 * q^27 + 9 * q^28 - 3 * q^29 - 21 * q^30 - 18 * q^31 + 15 * q^34 + 51 * q^35 - 18 * q^37 - 6 * q^38 - 6 * q^41 + 51 * q^42 + 39 * q^43 - 54 * q^45 - 21 * q^46 - 3 * q^47 - 33 * q^49 - 24 * q^50 - 48 * q^51 - 12 * q^52 - 24 * q^53 - 9 * q^54 - 6 * q^57 - 18 * q^58 + 21 * q^59 + 3 * q^60 + 63 * q^61 - 27 * q^62 + 57 * q^63 - 15 * q^64 - 6 * q^65 - 45 * q^67 - 21 * q^68 + 42 * q^69 + 51 * q^70 - 48 * q^71 + 87 * q^73 + 9 * q^74 + 42 * q^75 - 9 * q^76 - 36 * q^78 - 57 * q^79 + 36 * q^81 - 6 * q^82 - 30 * q^83 + 9 * q^84 + 81 * q^85 - 24 * q^86 - 9 * q^87 + 15 * q^88 - 6 * q^89 - 114 * q^90 - 51 * q^91 - 3 * q^92 + 33 * q^93 + 78 * q^94 - 132 * q^95 + 6 * q^96 - 66 * q^97 + 9 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/418\mathbb{Z}\right)^\times$.

$n$	$287$	$343$
$\chi(n)$	$e\left(\frac{1}{9}\right)$	$1$

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 $

$2$	−0.939693	−	0.342020i	−0.664463	−	0.241845i
$2$	−0.939693	−	0.342020i	−0.664463	−	0.241845i
$3$	−0.235710	−	1.33678i	−0.136087	−	0.771790i	−0.974096	−	0.226133i	$-0.927391\pi$
$3$	−0.235710	−	1.33678i	−0.136087	−	0.771790i	0.838009	−	0.545656i	$-0.183720\pi$
$4$	0.766044	+	0.642788i	0.383022	+	0.321394i
$5$	2.14622	−	1.80090i	0.959821	−	0.805385i	−0.0211031	−	0.999777i	$-0.506718\pi$
$5$	2.14622	−	1.80090i	0.959821	−	0.805385i	0.980924	+	0.194392i	$0.0622734\pi$
$6$	−0.235710	+	1.33678i	−0.0962283	+	0.545738i
$7$	2.28653	−	3.96039i	0.864228	−	1.49689i	−0.00358330	−	0.999994i	$-0.501141\pi$
$7$	2.28653	−	3.96039i	0.864228	−	1.49689i	0.867811	−	0.496894i	$-0.165526\pi$
$8$	−0.500000	−	0.866025i	−0.176777	−	0.306186i
$9$	1.08766	−	0.395875i	0.362553	−	0.131958i
$10$	−2.63273	+	0.958237i	−0.832544	+	0.303021i
$11$	0.500000	+	0.866025i	0.150756	+	0.261116i
$11$	0.500000	+	0.866025i	0.150756	+	0.261116i
$12$	0.678701	−	1.17554i	0.195924	−	0.339350i
$13$	−1.08181	+	6.13527i	−0.300041	+	1.70162i	0.345934	+	0.938259i	$0.387562\pi$
$13$	−1.08181	+	6.13527i	−0.300041	+	1.70162i	−0.645975	+	0.763358i	$0.723549\pi$
$14$	−3.50317	+	2.93951i	−0.936262	+	0.785617i
$15$	−2.91329	−	2.44454i	−0.752208	−	0.631177i
$16$	0.173648	+	0.984808i	0.0434120	+	0.246202i
$17$	2.83274	+	1.03103i	0.687040	+	0.250062i	0.661867	−	0.749621i	$-0.269764\pi$
$17$	2.83274	+	1.03103i	0.687040	+	0.250062i	0.0251727	+	0.999683i	$0.491986\pi$
$18$	−1.15746			−0.272816
$19$	−2.85205	−	3.29633i	−0.654305	−	0.756231i
$19$	−2.85205	−	3.29633i	−0.654305	−	0.756231i
$20$	2.80170			0.626479
$21$	−5.83313	−	2.12309i	−1.27289	−	0.463295i
$22$	−0.173648	−	0.984808i	−0.0370219	−	0.209962i
$23$	5.86216	+	4.91894i	1.22234	+	1.02567i	0.998699	+	0.0509984i	$0.0162404\pi$
$23$	5.86216	+	4.91894i	1.22234	+	1.02567i	0.223646	+	0.974670i	$0.428204\pi$
$24$	−1.03983	+	0.872521i	−0.212254	+	0.178103i
$25$	0.494812	−	2.80622i	0.0989624	−	0.561243i
$26$	3.11496	−	5.39526i	0.610893	−	1.05810i
$27$	−2.82167	−	4.88728i	−0.543031	−	0.940557i
$28$	4.29728	−	1.56408i	0.812109	−	0.295583i
$29$	−4.89463	+	1.78150i	−0.908910	+	0.330816i	−0.753818	−	0.657084i	$-0.771790\pi$
$29$	−4.89463	+	1.78150i	−0.908910	+	0.330816i	−0.155093	+	0.987900i	$0.549568\pi$
$30$	1.90151	+	3.29352i	0.347167	+	0.601311i
$31$	1.70841	−	2.95905i	0.306839	−	0.531461i	−0.670830	−	0.741611i	$-0.734062\pi$
$31$	1.70841	−	2.95905i	0.306839	−	0.531461i	0.977669	+	0.210150i	$0.0673954\pi$
$32$	0.173648	−	0.984808i	0.0306970	−	0.174091i
$33$	1.03983	−	0.872521i	0.181011	−	0.151886i
$34$	−2.30927	−	1.93771i	−0.396036	−	0.332314i
$35$	−2.22484	−	12.6177i	−0.376067	−	2.13278i
$36$	1.08766	+	0.395875i	0.181276	+	0.0659792i
$37$	−5.26253			−0.865154			−0.432577	−	0.901597i	$-0.642396\pi$
$37$	−5.26253			−0.865154			−0.432577	+	0.901597i	$0.642396\pi$
$38$	1.55264	+	4.07300i	0.251871	+	0.660728i
$39$	8.45649			1.35412
$40$	−2.63273	−	0.958237i	−0.416272	−	0.151511i
$41$	−0.0499896	−	0.283505i	−0.00780706	−	0.0442761i	0.980655	−	0.195742i	$-0.0627116\pi$
$41$	−0.0499896	−	0.283505i	−0.00780706	−	0.0442761i	−0.988462	+	0.151466i	$0.951601\pi$
$42$	4.75521	+	3.99009i	0.733745	+	0.615685i
$43$	−6.74221	+	5.65739i	−1.02818	+	0.862743i	−0.990633	−	0.136552i	$-0.956398\pi$
$43$	−6.74221	+	5.65739i	−1.02818	+	0.862743i	−0.0375444	+	0.999295i	$0.511954\pi$
$44$	−0.173648	+	0.984808i	−0.0261784	+	0.148465i
$45$	1.62143	−	2.80840i	0.241708	−	0.418651i
$46$	−3.82625	−	6.62726i	−0.564150	−	0.977137i
$47$	−9.82777	+	3.57702i	−1.43353	+	0.521761i	−0.937940	−	0.346797i	$-0.887269\pi$
$47$	−9.82777	+	3.57702i	−1.43353	+	0.521761i	−0.495587	+	0.868558i	$0.665047\pi$
$48$	1.27554	−	0.464259i	0.184108	−	0.0670100i
$49$	−6.95647	−	12.0490i	−0.993781	−	1.72128i
$50$	−1.42475	+	2.46775i	−0.201491	+	0.348992i
$51$	0.710557	−	4.02977i	0.0994979	−	0.564281i
$52$	−4.77239	+	4.00451i	−0.661811	+	0.555326i
$53$	2.65212	+	2.22539i	0.364297	+	0.305681i	0.806500	−	0.591233i	$-0.201359\pi$
$53$	2.65212	+	2.22539i	0.364297	+	0.305681i	−0.442204	+	0.896915i	$0.645803\pi$
$54$	0.979956	+	5.55761i	0.133355	+	0.756295i
$55$	2.63273	+	0.958237i	0.354998	+	0.129209i
$56$	−4.57307			−0.611102
$57$	−3.73421	+	4.58954i	−0.494609	+	0.607899i
$58$	5.20876			0.683943
$59$	11.1847	+	4.07089i	1.45612	+	0.529985i	0.944294	−	0.329104i	$-0.106747\pi$
$59$	11.1847	+	4.07089i	1.45612	+	0.529985i	0.511827	+	0.859089i	$0.328969\pi$
$60$	−0.660389	−	3.74525i	−0.0852558	−	0.483510i
$61$	−4.80421	−	4.03121i	−0.615116	−	0.516143i	0.281148	−	0.959664i	$-0.409285\pi$
$61$	−4.80421	−	4.03121i	−0.615116	−	0.516143i	−0.896264	+	0.443521i	$0.853729\pi$
$62$	−2.61743	+	2.19629i	−0.332414	+	0.278929i
$63$	0.919146	−	5.21273i	0.115801	−	0.656743i
$64$	−0.500000	+	0.866025i	−0.0625000	+	0.108253i
$65$	8.72717	+	15.1159i	1.08247	+	1.87490i
$66$	−1.27554	+	0.464259i	−0.157008	+	0.0571463i
$67$	3.04635	−	1.10878i	0.372171	−	0.135459i	−0.149161	−	0.988813i	$-0.547657\pi$
$67$	3.04635	−	1.10878i	0.372171	−	0.135459i	0.521333	+	0.853354i	$0.325435\pi$
$68$	1.50727	+	2.61067i	0.182783	+	0.316590i
$69$	5.19376	−	8.99586i	0.625255	−	1.08297i
$70$	−2.22484	+	12.6177i	−0.265919	+	1.50810i
$71$	8.00625	−	6.71804i	0.950167	−	0.797284i	−0.0291590	−	0.999575i	$-0.509283\pi$
$71$	8.00625	−	6.71804i	0.950167	−	0.797284i	0.979326	+	0.202290i	$0.0648385\pi$
$72$	−0.886667	−	0.744002i	−0.104495	−	0.0876815i
$73$	2.21890	+	12.5840i	0.259703	+	1.47285i	0.783707	+	0.621131i	$0.213326\pi$
$73$	2.21890	+	12.5840i	0.259703	+	1.47285i	−0.524004	+	0.851716i	$0.675562\pi$
$74$	4.94516	+	1.79989i	0.574863	+	0.209233i
$75$	−3.86793			−0.446630
$76$	−0.0659542	−	4.35840i	−0.00756547	−	0.499943i
$77$	4.57307			0.521149
$78$	−7.94650	−	2.89229i	−0.899764	−	0.327487i
$79$	0.0785784	+	0.445640i	0.00884076	+	0.0501385i	0.988909	−	0.148523i	$-0.0474518\pi$
$79$	0.0785784	+	0.445640i	0.00884076	+	0.0501385i	−0.980068	+	0.198661i	$0.936341\pi$
$80$	2.14622	+	1.80090i	0.239955	+	0.201346i
$81$	−3.20812	+	2.69193i	−0.356457	+	0.299103i
$82$	−0.0499896	+	0.283505i	−0.00552043	+	0.0313079i
$83$	−3.07459	+	5.32534i	−0.337480	+	0.584532i	−0.983958	−	0.178400i	$-0.942908\pi$
$83$	−3.07459	+	5.32534i	−0.337480	+	0.584532i	0.646478	+	0.762933i	$0.276241\pi$
$84$	−3.10374	−	5.37584i	−0.338646	−	0.586552i
$85$	7.93648	−	2.88864i	0.860832	−	0.313317i
$86$	8.27054	−	3.01023i	0.891836	−	0.324602i
$87$	3.53519	+	6.12312i	0.379012	+	0.656468i
$88$	0.500000	−	0.866025i	0.0533002	−	0.0923186i
$89$	−1.72607	+	9.78902i	−0.182963	+	1.03763i	0.745582	+	0.666414i	$0.232172\pi$
$89$	−1.72607	+	9.78902i	−0.182963	+	1.03763i	−0.928545	+	0.371220i	$0.878940\pi$
$90$	−2.48417	+	2.08447i	−0.261855	+	0.219722i
$91$	21.8245	+	18.3129i	2.28782	+	1.91971i
$92$	1.32884	+	7.53625i	0.138542	+	0.785708i
$93$	−4.35828	−	1.58628i	−0.451933	−	0.164490i
$94$	10.4585			1.07871
$95$	−12.0575	−	1.93843i	−1.23707	−	0.198878i
$96$	−1.35740			−0.138539
$97$	−11.2207	−	4.08400i	−1.13929	−	0.414667i	−0.297633	−	0.954680i	$-0.596197\pi$
$97$	−11.2207	−	4.08400i	−1.13929	−	0.414667i	−0.841657	+	0.540013i	$0.818419\pi$
$98$	2.41596	+	13.7016i	0.244048	+	1.38407i
$99$	0.886667	+	0.744002i	0.0891134	+	0.0747750i
$100$	2.18285	−	1.83163i	0.218285	−	0.183163i
$101$	0.202974	−	1.15112i	0.0201966	−	0.114541i	−0.973043	−	0.230625i	$-0.925923\pi$
$101$	0.202974	−	1.15112i	0.0201966	−	0.114541i	0.993239	+	0.116084i	$0.0370341\pi$
$102$	−2.04597	+	3.54372i	−0.202581	+	0.350881i
$103$	−6.35822	−	11.0128i	−0.626494	−	1.08512i	−0.988250	−	0.152847i	$-0.951156\pi$
$103$	−6.35822	−	11.0128i	−0.626494	−	1.08512i	0.361756	−	0.932273i	$-0.382177\pi$
$104$	5.85420	−	2.13076i	0.574052	−	0.208938i
$105$	−16.3427	+	5.94824i	−1.59488	+	0.580489i
$106$	−1.73105	−	2.99826i	−0.168134	−	0.291217i
$107$	−1.48656	+	2.57480i	−0.143711	+	0.248915i	−0.928891	−	0.370352i	$-0.879237\pi$
$107$	−1.48656	+	2.57480i	−0.143711	+	0.248915i	0.785180	+	0.619267i	$0.212570\pi$
$108$	0.979956	−	5.55761i	0.0942963	−	0.534781i
$109$	−8.73779	+	7.33188i	−0.836929	+	0.702267i	−0.956871	−	0.290514i	$-0.906174\pi$
$109$	−8.73779	+	7.33188i	−0.836929	+	0.702267i	0.119942	+	0.992781i	$0.461729\pi$
$110$	−2.14622	−	1.80090i	−0.204634	−	0.171709i
$111$	1.24043	+	7.03484i	0.117737	+	0.667717i
$112$	4.29728	+	1.56408i	0.406054	+	0.147792i
$113$	5.86687			0.551909			0.275954	−	0.961171i	$-0.411006\pi$
$113$	5.86687			0.551909			0.275954	+	0.961171i	$0.411006\pi$
$114$	5.07873	−	3.03558i	0.475666	−	0.284308i
$115$	21.4400			1.99929
$116$	−4.89463	−	1.78150i	−0.454455	−	0.165408i
$117$	1.25216	+	7.10134i	0.115762	+	0.656519i
$118$	−9.11783	−	7.65077i	−0.839364	−	0.704310i
$119$	10.5604	−	8.86126i	0.968074	−	0.812311i
$120$	−0.660389	+	3.74525i	−0.0602850	+	0.341893i
$121$	−0.500000	+	0.866025i	−0.0454545	+	0.0787296i
$122$	3.13572	+	5.43123i	0.283895	+	0.491721i
$123$	−0.367201	+	0.133650i	−0.0331094	+	0.0120508i
$124$	3.21075	−	1.16862i	0.288334	−	0.104945i
$125$	3.01251	+	5.21783i	0.269447	+	0.466697i
$126$	−2.64657	+	4.58400i	−0.235776	+	0.408375i
$127$	−0.183962	+	1.04330i	−0.0163240	+	0.0925777i	−0.991881	−	0.127167i	$-0.959411\pi$
$127$	−0.183962	+	1.04330i	−0.0163240	+	0.0925777i	0.975557	+	0.219745i	$0.0705226\pi$
$128$	0.766044	−	0.642788i	0.0677094	−	0.0568149i
$129$	9.15188	+	7.67934i	0.805779	+	0.676128i
$130$	−3.03091	−	17.1892i	−0.265829	−	1.50759i
$131$	−12.8912	−	4.69201i	−1.12631	−	0.409943i	−0.289358	−	0.957221i	$-0.593442\pi$
$131$	−12.8912	−	4.69201i	−1.12631	−	0.409943i	−0.836951	+	0.547278i	$0.815664\pi$
$132$	1.35740			0.118147
$133$	−19.5761	+	3.75806i	−1.69746	+	0.325865i
$134$	−3.24186			−0.280054
$135$	−14.8574	−	5.40766i	−1.27872	−	0.465417i
$136$	−0.523469	−	2.96874i	−0.0448871	−	0.254567i
$137$	9.63797	+	8.08722i	0.823428	+	0.690938i	0.953772	−	0.300531i	$-0.0971639\pi$
$137$	9.63797	+	8.08722i	0.823428	+	0.690938i	−0.130344	+	0.991469i	$0.541608\pi$
$138$	−7.95730	+	6.67697i	−0.677371	+	0.568381i
$139$	2.26196	−	12.8282i	0.191857	−	1.08807i	−0.724968	−	0.688783i	$-0.758145\pi$
$139$	2.26196	−	12.8282i	0.191857	−	1.08807i	0.916824	−	0.399291i	$-0.130744\pi$
$140$	6.40617	−	11.0958i	0.541420	−	0.937768i
$141$	7.09819	+	12.2944i	0.597775	+	1.03538i
$142$	−9.82111	+	3.57459i	−0.824170	+	0.299973i
$143$	−5.85420	+	2.13076i	−0.489553	+	0.178183i
$144$	0.578731	+	1.00239i	0.0482276	+	0.0835326i
$145$	−7.29668	+	12.6382i	−0.605956	+	1.04955i
$146$	2.21890	−	12.5840i	0.183637	−	1.04146i
$147$	−14.4671	+	12.1393i	−1.19322	+	1.00123i
$148$	−4.03133	−	3.38269i	−0.331373	−	0.278055i
$149$	−0.251664	−	1.42726i	−0.0206171	−	0.116926i	0.972762	−	0.231805i	$-0.0744630\pi$
$149$	−0.251664	−	1.42726i	−0.0206171	−	0.116926i	−0.993379	+	0.114879i	$0.963352\pi$
$150$	3.63466	+	1.32291i	0.296769	+	0.108015i
$151$	8.58575			0.698698			0.349349	−	0.936993i	$-0.386403\pi$
$151$	8.58575			0.698698			0.349349	+	0.936993i	$0.386403\pi$
$152$	−1.42868	+	4.11811i	−0.115882	+	0.334023i
$153$	3.48921			0.282086
$154$	−4.29728	−	1.56408i	−0.346284	−	0.126037i
$155$	−1.66231	−	9.42744i	−0.133520	−	0.757230i
$156$	6.47805	+	5.43573i	0.518659	+	0.435207i
$157$	3.65059	−	3.06321i	0.291349	−	0.244470i	−0.485384	−	0.874301i	$-0.661320\pi$
$157$	3.65059	−	3.06321i	0.291349	−	0.244470i	0.776732	+	0.629831i	$0.216876\pi$
$158$	0.0785784	−	0.445640i	0.00625136	−	0.0354532i
$159$	2.34973	−	4.06985i	0.186345	−	0.322760i
$160$	−1.40085	−	2.42634i	−0.110747	−	0.191819i
$161$	32.8849	−	11.9691i	2.59170	−	0.943300i
$162$	3.93534	−	1.43235i	0.309189	−	0.112536i
$163$	0.579535	+	1.00378i	0.0453927	+	0.0786224i	0.887829	−	0.460173i	$-0.152213\pi$
$163$	0.579535	+	1.00378i	0.0453927	+	0.0786224i	−0.842436	+	0.538796i	$0.818879\pi$
$164$	0.143939	−	0.249310i	0.0112398	−	0.0194679i
$165$	0.660389	−	3.74525i	0.0514112	−	0.291567i
$166$	4.71054	−	3.95261i	0.365609	−	0.306782i
$167$	8.54965	+	7.17401i	0.661592	+	0.555141i	0.910563	−	0.413369i	$-0.135648\pi$
$167$	8.54965	+	7.17401i	0.661592	+	0.555141i	−0.248972	+	0.968511i	$0.580093\pi$
$168$	1.07792	+	6.11318i	0.0831632	+	0.471642i
$169$	−24.2552	−	8.82816i	−1.86578	−	0.679089i
$170$	−8.44582			−0.647765
$171$	−4.40699	−	2.45623i	−0.337011	−	0.187832i
$172$	−8.80133			−0.671095
$173$	10.0856	+	3.67087i	0.766797	+	0.279091i	0.695656	−	0.718375i	$-0.255114\pi$
$173$	10.0856	+	3.67087i	0.766797	+	0.279091i	0.0711407	+	0.997466i	$0.477336\pi$
$174$	−1.22776	−	6.96296i	−0.0930761	−	0.527861i
$175$	−9.98231	−	8.37616i	−0.754592	−	0.633178i
$176$	−0.766044	+	0.642788i	−0.0577428	+	0.0484519i
$177$	2.80554	−	15.9110i	0.210877	−	1.19594i
$178$	4.97002	−	8.60832i	0.372518	−	0.645221i
$179$	−1.10553	−	1.91483i	−0.0826309	−	0.143121i	0.821748	−	0.569851i	$-0.192999\pi$
$179$	−1.10553	−	1.91483i	−0.0826309	−	0.143121i	−0.904379	+	0.426730i	$0.859666\pi$
$180$	3.04729	−	1.10912i	0.227131	−	0.0826691i
$181$	14.1494	−	5.14995i	1.05171	−	0.382793i	0.242405	−	0.970175i	$-0.422064\pi$
$181$	14.1494	−	5.14995i	1.05171	−	0.382793i	0.809309	+	0.587383i	$0.199842\pi$
$182$	−14.2449	−	24.6729i	−1.05590	−	1.82888i
$183$	−4.25644	+	7.37236i	−0.314645	+	0.544981i
$184$	1.32884	−	7.53625i	0.0979636	−	0.555579i
$185$	−11.2946	+	9.47727i	−0.830393	+	0.696782i
$186$	3.55290	+	2.98124i	0.260512	+	0.218595i
$187$	0.523469	+	2.96874i	0.0382798	+	0.217096i
$188$	−9.82777	−	3.57702i	−0.716764	−	0.260881i
$189$	−25.8074			−1.87721
$190$	10.6674	+	5.94543i	0.773891	+	0.431327i
$191$	12.0444			0.871505			0.435752	−	0.900067i	$-0.356482\pi$
$191$	12.0444			0.871505			0.435752	+	0.900067i	$0.356482\pi$
$192$	1.27554	+	0.464259i	0.0920542	+	0.0335050i
$193$	−3.40006	−	19.2827i	−0.244742	−	1.38800i	−0.821092	−	0.570796i	$-0.806635\pi$
$193$	−3.40006	−	19.2827i	−0.244742	−	1.38800i	0.576350	−	0.817203i	$-0.304476\pi$
$194$	9.14720	+	7.67541i	0.656731	+	0.551062i
$195$	18.1495	−	15.2293i	1.29972	−	1.09059i
$196$	2.41596	−	13.7016i	0.172568	−	0.978683i
$197$	−4.90917	+	8.50293i	−0.349764	+	0.605809i	−0.986207	−	0.165515i	$-0.947072\pi$
$197$	−4.90917	+	8.50293i	−0.349764	+	0.605809i	0.636443	+	0.771323i	$0.280405\pi$
$198$	−0.578731	−	1.00239i	−0.0411286	−	0.0712368i
$199$	−19.6615	+	7.15620i	−1.39377	+	0.507290i	−0.926322	−	0.376733i	$-0.877047\pi$
$199$	−19.6615	+	7.15620i	−1.39377	+	0.507290i	−0.467445	+	0.884022i	$0.654825\pi$
$200$	−2.67766	+	0.974589i	−0.189339	+	0.0689138i
$201$	−2.20025	−	3.81095i	−0.155194	−	0.268804i
$202$	−0.584440	+	1.01228i	−0.0411210	+	0.0712237i
$203$	−4.13630	+	23.4581i	−0.290311	+	1.64644i
$204$	3.13461	−	2.63025i	0.219466	−	0.184154i
$205$	−0.617852	−	0.518440i	−0.0431527	−	0.0362094i
$206$	2.20819	+	12.5233i	0.153852	+	0.872536i
$207$	8.32331	+	3.02944i	0.578510	+	0.210560i
$208$	−6.22991			−0.431967
$209$	1.42868	−	4.11811i	0.0988241	−	0.284856i
$210$	17.3915			1.20013
$211$	7.45692	+	2.71410i	0.513356	+	0.186846i	0.585691	−	0.810534i	$-0.300823\pi$
$211$	7.45692	+	2.71410i	0.513356	+	0.186846i	−0.0723358	+	0.997380i	$0.523045\pi$
$212$	0.601186	+	3.40950i	0.0412897	+	0.234165i
$213$	−10.8677	−	9.11907i	−0.744642	−	0.624829i
$214$	2.27754	−	1.91108i	0.155689	−	0.130639i
$215$	−4.28193	+	24.2840i	−0.292025	+	1.65616i
$216$	−2.82167	+	4.88728i	−0.191990	+	0.332537i
$217$	−7.81266	−	13.5319i	−0.530358	−	0.918606i
$218$	10.7185	−	3.90121i	0.725948	−	0.264223i
$219$	16.2990	−	5.93236i	1.10139	−	0.400872i
$220$	1.40085	+	2.42634i	0.0944452	+	0.163584i
$221$	−9.39015	+	16.2642i	−0.631650	+	1.09405i
$222$	1.24043	−	7.03484i	0.0832523	−	0.472147i
$223$	17.9514	−	15.0630i	1.20211	−	1.00869i	0.202545	−	0.979273i	$-0.435079\pi$
$223$	17.9514	−	15.0630i	1.20211	−	1.00869i	0.999567	−	0.0294187i	$-0.00936563\pi$
$224$	−3.50317	−	2.93951i	−0.234065	−	0.196404i
$225$	−0.572726	−	3.24809i	−0.0381817	−	0.216539i
$226$	−5.51305	−	2.00659i	−0.366723	−	0.133476i
$227$	4.02046			0.266847			0.133424	−	0.991059i	$-0.457403\pi$
$227$	4.02046			0.266847			0.133424	+	0.991059i	$0.457403\pi$
$228$	−5.81067	+	1.11549i	−0.384821	+	0.0738749i
$229$	17.8611			1.18029			0.590147	−	0.807296i	$-0.299070\pi$
$229$	17.8611			1.18029			0.590147	+	0.807296i	$0.299070\pi$
$230$	−20.1470	−	7.33291i	−1.32845	−	0.483518i
$231$	−1.07792	−	6.11318i	−0.0709218	−	0.402218i
$232$	3.99014	+	3.34812i	0.261966	+	0.219815i
$233$	9.14084	−	7.67007i	0.598836	−	0.502483i	−0.292235	−	0.956347i	$-0.594399\pi$
$233$	9.14084	−	7.67007i	0.598836	−	0.502483i	0.891071	+	0.453863i	$0.149955\pi$
$234$	1.25216	−	7.10134i	0.0818561	−	0.464229i
$235$	−14.6508	+	25.3759i	−0.955711	+	1.65534i
$236$	5.95124	+	10.3079i	0.387393	+	0.670984i
$237$	0.577201	−	0.210084i	0.0374932	−	0.0136464i
$238$	−12.9543	+	4.71498i	−0.839703	+	0.305627i
$239$	−8.89013	−	15.3982i	−0.575055	−	0.996024i	−0.996036	−	0.0889546i	$-0.971647\pi$
$239$	−8.89013	−	15.3982i	−0.575055	−	0.996024i	0.420981	−	0.907069i	$-0.361686\pi$
$240$	1.90151	−	3.29352i	0.122742	−	0.212596i
$241$	0.433059	−	2.45600i	0.0278958	−	0.158205i	−0.967678	−	0.252190i	$-0.918849\pi$
$241$	0.433059	−	2.45600i	0.0278958	−	0.158205i	0.995574	+	0.0939846i	$0.0299605\pi$
$242$	0.766044	−	0.642788i	0.0492432	−	0.0413200i
$243$	−8.61446	−	7.22839i	−0.552618	−	0.463701i
$244$	−1.08903	−	6.17617i	−0.0697177	−	0.395389i
$245$	−36.6290	−	13.3319i	−2.34014	−	0.851743i
$246$	0.390767			0.0249144
$247$	23.3093	−	13.9321i	1.48313	−	0.886476i
$248$	−3.41681			−0.216968
$249$	7.84352	+	2.85481i	0.497063	+	0.180916i
$250$	−1.04624	−	5.93349i	−0.0661697	−	0.375267i
$251$	−22.8631	−	19.1844i	−1.44310	−	1.21091i	−0.937426	−	0.348185i	$-0.886798\pi$
$251$	−22.8631	−	19.1844i	−1.44310	−	1.21091i	−0.505678	−	0.862722i	$-0.668758\pi$
$252$	4.05479	−	3.40237i	0.255428	−	0.214329i
$253$	−1.32884	+	7.53625i	−0.0835437	+	0.473800i
$254$	0.529696	−	0.917461i	0.0332361	−	0.0575666i
$255$	−5.73218	−	9.92843i	−0.358963	−	0.621743i
$256$	−0.939693	+	0.342020i	−0.0587308	+	0.0213763i
$257$	5.10089	−	1.85657i	0.318185	−	0.115810i	−0.177990	−	0.984032i	$-0.556960\pi$
$257$	5.10089	−	1.85657i	0.318185	−	0.115810i	0.496175	+	0.868222i	$0.334737\pi$
$258$	−5.97347	−	10.3464i	−0.371892	−	0.644136i
$259$	−12.0329	+	20.8417i	−0.747691	+	1.29504i
$260$	−3.03091	+	17.1892i	−0.187969	+	1.06603i
$261$	−4.61843	+	3.87533i	−0.285874	+	0.239877i
$262$	10.5090	+	8.81809i	0.649248	+	0.544784i
$263$	−0.901538	−	5.11288i	−0.0555912	−	0.315274i	0.944314	−	0.329046i	$-0.106727\pi$
$263$	−0.901538	−	5.11288i	−0.0555912	−	0.315274i	−0.999905	+	0.0137723i	$0.995616\pi$
$264$	−1.27554	−	0.464259i	−0.0785041	−	0.0285731i
$265$	9.69974			0.595850
$266$	19.6808	+	3.16399i	1.20671	+	0.193997i
$267$	13.4926			0.825734
$268$	3.04635	+	1.10878i	0.186086	+	0.0677297i
$269$	−3.38968	−	19.2238i	−0.206672	−	1.17210i	−0.894786	−	0.446495i	$-0.852672\pi$
$269$	−3.38968	−	19.2238i	−0.206672	−	1.17210i	0.688114	−	0.725603i	$-0.258439\pi$
$270$	12.1119	+	10.1631i	0.737106	+	0.618505i
$271$	19.7311	−	16.5563i	1.19858	−	1.00573i	0.198908	−	0.980018i	$-0.436260\pi$
$271$	19.7311	−	16.5563i	1.19858	−	1.00573i	0.999669	−	0.0257083i	$-0.00818410\pi$
$272$	−0.523469	+	2.96874i	−0.0317400	+	0.180006i
$273$	19.3360	−	33.4910i	1.17027	−	2.02697i
$274$	−6.29074	−	10.8959i	−0.380038	−	0.658244i
$275$	2.67766	−	0.974589i	0.161469	−	0.0587699i
$276$	9.76108	−	3.55274i	0.587548	−	0.213850i
$277$	8.41879	+	14.5818i	0.505836	+	0.876133i	0.999977	+	0.00675175i	$0.00214917\pi$
$277$	8.41879	+	14.5818i	0.505836	+	0.876133i	−0.494141	+	0.869382i	$0.664518\pi$
$278$	−6.51305	+	11.2809i	−0.390627	+	0.676585i
$279$	0.686749	−	3.89475i	0.0411146	−	0.233172i
$280$	−9.81483	+	8.23562i	−0.586548	+	0.492172i
$281$	7.19955	+	6.04114i	0.429489	+	0.360384i	0.831759	−	0.555137i	$-0.187334\pi$
$281$	7.19955	+	6.04114i	0.429489	+	0.360384i	−0.402270	+	0.915521i	$0.631779\pi$
$282$	−2.46517	−	13.9807i	−0.146799	−	0.832539i
$283$	−6.43812	−	2.34328i	−0.382707	−	0.139294i	0.143500	−	0.989650i	$-0.454164\pi$
$283$	−6.43812	−	2.34328i	−0.382707	−	0.139294i	−0.526207	+	0.850356i	$0.676386\pi$
$284$	10.4514			0.620177
$285$	0.250826	+	16.5751i	0.0148576	+	0.981825i
$286$	6.22991			0.368383
$287$	−1.23709	−	0.450265i	−0.0730234	−	0.0265783i
$288$	−0.200991	−	1.13988i	−0.0118435	−	0.0671679i
$289$	−6.06138	−	5.08610i	−0.356552	−	0.299182i
$290$	11.1792	−	9.38043i	0.656463	−	0.550838i
$291$	−2.81457	+	15.9622i	−0.164993	+	0.935723i
$292$	−6.38907	+	11.0662i	−0.373892	+	0.647600i
$293$	0.0564104	+	0.0977056i	0.00329553	+	0.00570802i	0.867668	−	0.497143i	$-0.165618\pi$
$293$	0.0564104	+	0.0977056i	0.00329553	+	0.00570802i	−0.864373	+	0.502851i	$0.832284\pi$
$294$	17.7465	−	6.45920i	1.03500	−	0.376708i
$295$	31.3361	−	11.4054i	1.82446	−	0.664048i
$296$	2.63126	+	4.55748i	0.152939	+	0.264898i
$297$	2.82167	−	4.88728i	0.163730	−	0.283589i
$298$	−0.251664	+	1.42726i	−0.0145785	+	0.0826788i
$299$	−36.5207	+	30.6445i	−2.11205	+	1.77222i
$300$	−2.96300	−	2.48625i	−0.171069	−	0.143544i
$301$	6.98918	+	39.6376i	0.402849	+	2.28467i
$302$	−8.06796	−	2.93650i	−0.464259	−	0.168976i
$303$	−1.58664			−0.0911500
$304$	2.75100	−	3.38112i	0.157781	−	0.193921i
$305$	−17.5707			−1.00610
$306$	−3.27879	−	1.19338i	−0.187436	−	0.0682210i
$307$	−1.08982	−	6.18067i	−0.0621992	−	0.352749i	−0.999985	−	0.00553408i	$-0.998238\pi$
$307$	−1.08982	−	6.18067i	−0.0621992	−	0.352749i	0.937785	−	0.347215i	$-0.112873\pi$
$308$	3.50317	+	2.93951i	0.199612	+	0.167494i
$309$	−13.2229	+	11.0954i	−0.752226	+	0.631193i
$310$	−1.66231	+	9.42744i	−0.0944130	+	0.535443i
$311$	−6.62000	+	11.4662i	−0.375386	+	0.650187i	−0.990385	−	0.138341i	$-0.955823\pi$
$311$	−6.62000	+	11.4662i	−0.375386	+	0.650187i	0.614999	+	0.788528i	$0.289156\pi$
$312$	−4.22825	−	7.32354i	−0.239377	−	0.414614i
$313$	−10.2074	+	3.71518i	−0.576954	+	0.209994i	−0.613982	−	0.789320i	$-0.710433\pi$
$313$	−10.2074	+	3.71518i	−0.576954	+	0.209994i	0.0370277	+	0.999314i	$0.488211\pi$
$314$	−4.47811	+	1.62990i	−0.252714	+	0.0919804i
$315$	−7.41490	−	12.8430i	−0.417782	−	0.723620i
$316$	−0.226258	+	0.391890i	−0.0127280	+	0.0220455i
$317$	−1.65299	+	9.37459i	−0.0928413	+	0.526529i	0.902546	+	0.430593i	$0.141696\pi$
$317$	−1.65299	+	9.37459i	−0.0928413	+	0.526529i	−0.995387	+	0.0959363i	$0.969416\pi$
$318$	−3.59999	+	3.02075i	−0.201877	+	0.169395i
$319$	−3.99014	−	3.34812i	−0.223405	−	0.187459i
$320$	0.486510	+	2.75913i	0.0271967	+	0.154240i
$321$	3.79233	+	1.38030i	0.211667	+	0.0770406i
$322$	−34.9954			−1.95022
$323$	−4.68048	−	12.2782i	−0.260429	−	0.683178i
$324$	−4.18790			−0.232661
$325$	16.6816	+	6.07161i	0.925329	+	0.336792i
$326$	−0.201270	−	1.14146i	−0.0111473	−	0.0632197i
$327$	11.8607	+	9.95230i	0.655898	+	0.550364i
$328$	−0.220528	+	0.185045i	−0.0121766	+	0.0102174i
$329$	−8.30514	+	47.1008i	−0.457877	+	2.59675i
$330$	−1.90151	+	3.29352i	−0.104675	+	0.181302i
$331$	6.24582	+	10.8181i	0.343301	+	0.594615i	0.985044	−	0.172305i	$-0.0551215\pi$
$331$	6.24582	+	10.8181i	0.343301	+	0.594615i	−0.641742	+	0.766920i	$0.721788\pi$
$332$	−5.77834	+	2.10314i	−0.317127	+	0.115425i
$333$	−5.72383	+	2.08330i	−0.313664	+	0.114164i
$334$	−5.58039	−	9.66551i	−0.305345	−	0.528873i
$335$	4.54136	−	7.86586i	0.248121	−	0.429758i
$336$	1.07792	−	6.11318i	0.0588053	−	0.333501i
$337$	−26.9458	+	22.6102i	−1.46783	+	1.23166i	−0.549708	+	0.835357i	$0.685261\pi$
$337$	−26.9458	+	22.6102i	−1.46783	+	1.23166i	−0.918122	+	0.396299i	$0.870294\pi$
$338$	19.7730	+	16.5915i	1.07551	+	0.902460i
$339$	−1.38288	−	7.84271i	−0.0751078	−	0.425958i
$340$	7.93648	+	2.88864i	0.430416	+	0.156659i
$341$	3.41681			0.185031
$342$	3.30114	+	3.81538i	0.178505	+	0.206312i
$343$	−31.6133			−1.70696
$344$	8.27054	+	3.01023i	0.445918	+	0.162301i
$345$	−5.05363	−	28.6606i	−0.272078	−	1.54303i
$346$	−8.22188	−	6.89898i	−0.442011	−	0.370891i
$347$	1.55704	−	1.30651i	0.0835865	−	0.0701374i	−0.600037	−	0.799972i	$-0.704848\pi$
$347$	1.55704	−	1.30651i	0.0835865	−	0.0701374i	0.683624	+	0.729835i	$0.260403\pi$
$348$	−1.22776	+	6.96296i	−0.0658147	+	0.373254i
$349$	−6.76579	+	11.7187i	−0.362165	+	0.627287i	−0.988317	−	0.152413i	$-0.951295\pi$
$349$	−6.76579	+	11.7187i	−0.362165	+	0.627287i	0.626152	+	0.779701i	$0.284629\pi$
$350$	6.51549	+	11.2852i	0.348268	+	0.603217i
$351$	33.0373	−	12.0246i	1.76340	−	0.641825i
$352$	0.939693	−	0.342020i	0.0500858	−	0.0182297i
$353$	−16.0085	−	27.7276i	−0.852047	−	1.47579i	−0.879358	−	0.476162i	$-0.842028\pi$
$353$	−16.0085	−	27.7276i	−0.852047	−	1.47579i	0.0273109	−	0.999627i	$-0.491306\pi$
$354$	−8.07822	+	13.9919i	−0.429353	+	0.743661i
$355$	5.08471	−	28.8368i	0.269869	−	1.53050i
$356$	−7.61450	+	6.38933i	−0.403568	+	0.338634i
$357$	−14.3348	−	12.0283i	−0.758676	−	0.636605i
$358$	0.383945	+	2.17746i	0.0202921	+	0.115082i
$359$	28.7427	+	10.4615i	1.51698	+	0.552137i	0.960393	−	0.278650i	$-0.0898868\pi$
$359$	28.7427	+	10.4615i	1.51698	+	0.552137i	0.556591	+	0.830787i	$0.312109\pi$
$360$	−3.24286			−0.170914
$361$	−2.73163	+	18.8026i	−0.143770	+	0.989611i
$362$	−15.0574			−0.791401
$363$	1.27554	+	0.464259i	0.0669485	+	0.0243673i
$364$	4.94720	+	28.0570i	0.259304	+	1.47059i
$365$	27.4247	+	23.0121i	1.43548	+	1.20451i
$366$	6.52124	−	5.47197i	0.340871	−	0.286024i
$367$	−3.70025	+	20.9852i	−0.193152	+	1.09542i	0.721875	+	0.692023i	$0.243281\pi$
$367$	−3.70025	+	20.9852i	−0.193152	+	1.09542i	−0.915027	+	0.403393i	$0.867831\pi$
$368$	−3.82625	+	6.62726i	−0.199457	+	0.345470i
$369$	−0.166604	−	0.288567i	−0.00867307	−	0.0150222i
$370$	13.8548	−	5.04275i	0.720279	−	0.262160i
$371$	14.8776	−	5.41500i	0.772405	−	0.281133i
$372$	−2.31899	−	4.01661i	−0.120234	−	0.208252i
$373$	10.0023	−	17.3244i	0.517897	−	0.897024i	−0.481887	−	0.876233i	$-0.660048\pi$
$373$	10.0023	−	17.3244i	0.517897	−	0.897024i	0.999784	−	0.0207904i	$-0.00661826\pi$
$374$	0.523469	−	2.96874i	0.0270679	−	0.153510i
$375$	6.26500	−	5.25696i	0.323523	−	0.271468i
$376$	8.01167	+	6.72259i	0.413170	+	0.346691i
$377$	−5.63490	−	31.9571i	−0.290212	−	1.64588i
$378$	24.2510	+	8.82664i	1.24734	+	0.453994i
$379$	−4.51523			−0.231932			−0.115966	−	0.993253i	$-0.536996\pi$
$379$	−4.51523			−0.231932			−0.115966	+	0.993253i	$0.536996\pi$
$380$	−7.99058	−	9.23533i	−0.409908	−	0.473762i
$381$	1.43802			0.0736721
$382$	−11.3181	−	4.11944i	−0.579083	−	0.210769i
$383$	1.59346	+	9.03698i	0.0814222	+	0.461768i	0.998071	+	0.0620756i	$0.0197720\pi$
$383$	1.59346	+	9.03698i	0.0814222	+	0.461768i	−0.916649	+	0.399693i	$0.869117\pi$
$384$	−1.03983	−	0.872521i	−0.0530636	−	0.0445256i
$385$	9.81483	−	8.23562i	0.500210	−	0.419726i
$386$	−3.40006	+	19.2827i	−0.173058	+	0.981463i
$387$	−5.09360	+	8.82238i	−0.258922	+	0.448467i
$388$	−5.97041	−	10.3411i	−0.303102	−	0.524987i
$389$	10.4678	−	3.80996i	0.530737	−	0.193172i	−0.0627304	−	0.998031i	$-0.519981\pi$
$389$	10.4678	−	3.80996i	0.530737	−	0.193172i	0.593467	+	0.804858i	$0.297759\pi$
$390$	−22.2637	+	8.10332i	−1.12737	+	0.410328i
$391$	11.5344	+	19.9781i	0.583319	+	1.01034i
$392$	−6.95647	+	12.0490i	−0.351355	+	0.608564i
$393$	−3.23360	+	18.3386i	−0.163113	+	0.925062i
$394$	7.52128	−	6.31111i	0.378917	−	0.317949i
$395$	0.971199	+	0.814933i	0.0488663	+	0.0410037i
$396$	0.200991	+	1.13988i	0.0101002	+	0.0572810i
$397$	−1.99277	−	0.725308i	−0.100014	−	0.0364021i	0.291528	−	0.956562i	$-0.405836\pi$
$397$	−1.99277	−	0.725308i	−0.100014	−	0.0364021i	−0.391543	+	0.920160i	$0.628058\pi$
$398$	20.9233			1.04879
$399$	9.63797	+	25.2831i	0.482502	+	1.26574i
$400$	2.84951			0.142475
$401$	−3.26505	−	1.18838i	−0.163049	−	0.0593449i	0.259206	−	0.965822i	$-0.416539\pi$
$401$	−3.26505	−	1.18838i	−0.163049	−	0.0593449i	−0.422255	+	0.906477i	$0.638761\pi$
$402$	0.764140	+	4.33366i	0.0381119	+	0.216143i
$403$	16.3064	+	13.6827i	0.812278	+	0.681582i
$404$	0.895414	−	0.751341i	0.0445485	−	0.0373806i
$405$	−2.03745	+	11.5550i	−0.101242	+	0.574171i
$406$	11.9100	−	20.6287i	0.591083	−	1.02379i
$407$	−2.63126	−	4.55748i	−0.130427	−	0.225906i
$408$	−3.84516	+	1.39952i	−0.190364	+	0.0692868i
$409$	20.3695	−	7.41390i	1.00721	−	0.366594i	0.214848	−	0.976647i	$-0.431074\pi$
$409$	20.3695	−	7.41390i	1.00721	−	0.366594i	0.792360	+	0.610054i	$0.208852\pi$
$410$	0.403274	+	0.698492i	0.0199163	+	0.0344960i
$411$	8.53906	−	14.7901i	0.421201	−	0.729541i
$412$	2.20819	−	12.5233i	0.108790	−	0.616976i
$413$	41.6964	−	34.9875i	2.05175	−	1.72162i
$414$	−6.78522	−	5.69348i	−0.333476	−	0.279819i
$415$	2.99163	+	16.9664i	0.146854	+	0.832848i
$416$	5.85420	+	2.13076i	0.287026	+	0.104469i
$417$	−17.6816			−0.865874
$418$	−2.75100	+	3.38112i	−0.134556	+	0.165376i
$419$	3.46705			0.169376			0.0846882	−	0.996408i	$-0.473011\pi$
$419$	3.46705			0.169376			0.0846882	+	0.996408i	$0.473011\pi$
$420$	−16.3427	−	5.94824i	−0.797440	−	0.290244i
$421$	0.142877	+	0.810298i	0.00696342	+	0.0394915i	0.988091	−	0.153868i	$-0.0491729\pi$
$421$	0.142877	+	0.810298i	0.00696342	+	0.0394915i	−0.981128	+	0.193359i	$0.938062\pi$
$422$	−6.07894	−	5.10083i	−0.295918	−	0.248305i
$423$	−9.27320	+	7.78114i	−0.450879	+	0.378332i
$424$	0.601186	−	3.40950i	0.0291962	−	0.165580i
$425$	4.29497	−	7.43911i	0.208337	−	0.360850i
$426$	7.09338	+	12.2861i	0.343675	+	0.595263i
$427$	−26.9501	+	9.80905i	−1.30421	+	0.474693i
$428$	−2.79382	+	1.01687i	−0.135044	+	0.0491521i
$429$	4.22825	+	7.32354i	0.204142	+	0.353584i
$430$	12.3293	−	21.3550i	0.594573	−	1.02983i
$431$	0.878522	−	4.98235i	0.0423169	−	0.239991i	−0.956311	−	0.292350i	$-0.905563\pi$
$431$	0.878522	−	4.98235i	0.0423169	−	0.239991i	0.998628	+	0.0523587i	$0.0166739\pi$
$432$	4.32305	−	3.62747i	0.207993	−	0.174527i
$433$	11.4853	+	9.63731i	0.551948	+	0.463139i	0.875600	−	0.483037i	$-0.160466\pi$
$433$	11.4853	+	9.63731i	0.551948	+	0.463139i	−0.323652	+	0.946176i	$0.604911\pi$
$434$	2.71331	+	15.3879i	0.130243	+	0.738644i
$435$	18.6144	+	6.77509i	0.892493	+	0.324841i
$436$	−11.4064			−0.546267
$437$	−0.504715	−	33.3527i	−0.0241438	−	1.59547i
$438$	−17.3451			−0.828779
$439$	−36.7895	−	13.3903i	−1.75586	−	0.639083i	−0.755985	−	0.654589i	$-0.772842\pi$
$439$	−36.7895	−	13.3903i	−1.75586	−	0.639083i	−0.999880	+	0.0155063i	$0.995064\pi$
$440$	−0.486510	−	2.75913i	−0.0231934	−	0.131537i
$441$	−12.3361	−	10.3512i	−0.587435	−	0.492917i
$442$	14.3865	−	12.0717i	0.684298	−	0.574195i
$443$	−2.34735	+	13.3125i	−0.111526	+	0.632496i	0.876886	+	0.480699i	$0.159617\pi$
$443$	−2.34735	+	13.3125i	−0.111526	+	0.632496i	−0.988412	+	0.151797i	$0.951494\pi$
$444$	−3.57168	+	6.18633i	−0.169504	+	0.293590i
$445$	13.9245	+	24.1179i	0.660084	+	1.14330i
$446$	−22.0206	+	8.01484i	−1.04271	+	0.379514i
$447$	−1.84861	+	0.672839i	−0.0874362	+	0.0318242i
$448$	2.28653	+	3.96039i	0.108029	+	0.187111i
$449$	−1.40371	+	2.43130i	−0.0662452	+	0.114740i	−0.897246	−	0.441532i	$-0.854435\pi$
$449$	−1.40371	+	2.43130i	−0.0662452	+	0.114740i	0.831000	+	0.556272i	$0.187769\pi$
$450$	−0.572726	+	3.24809i	−0.0269985	+	0.153116i
$451$	0.220528	−	0.185045i	0.0103843	−	0.00871342i
$452$	4.49428	+	3.77115i	0.211393	+	0.177380i
$453$	−2.02375	−	11.4772i	−0.0950840	−	0.539248i
$454$	−3.77799	−	1.37508i	−0.177310	−	0.0645356i
$455$	79.8198			3.74201
$456$	5.84177	+	0.939153i	0.273566	+	0.0439799i
$457$	18.3395			0.857884			0.428942	−	0.903332i	$-0.358887\pi$
$457$	18.3395			0.857884			0.428942	+	0.903332i	$0.358887\pi$
$458$	−16.7839	−	6.10885i	−0.784261	−	0.285448i
$459$	−2.95412	−	16.7536i	−0.137886	−	0.781992i
$460$	16.4240	+	13.7814i	0.765773	+	0.642560i
$461$	12.2761	−	10.3009i	0.571755	−	0.479760i	−0.310472	−	0.950582i	$-0.600487\pi$
$461$	12.2761	−	10.3009i	0.571755	−	0.479760i	0.882228	+	0.470823i	$0.156043\pi$
$462$	−1.07792	+	6.11318i	−0.0501493	+	0.284411i
$463$	−11.0538	+	19.1457i	−0.513712	+	0.889775i	0.486162	+	0.873869i	$0.338397\pi$
$463$	−11.0538	+	19.1457i	−0.513712	+	0.889775i	−0.999873	+	0.0159062i	$0.994937\pi$
$464$	−2.60438	−	4.51092i	−0.120905	−	0.209414i
$465$	−12.2106	+	4.44429i	−0.566252	+	0.206099i
$466$	−11.2129	+	4.08116i	−0.519427	+	0.189056i
$467$	−10.0898	−	17.4760i	−0.466899	−	0.808693i	0.532386	−	0.846502i	$-0.321295\pi$
$467$	−10.0898	−	17.4760i	−0.466899	−	0.808693i	−0.999285	+	0.0378091i	$0.987962\pi$
$468$	−3.60544	+	6.24481i	−0.166662	+	0.288666i
$469$	2.57438	−	14.6000i	0.118874	−	0.674166i
$470$	22.4463	−	18.8347i	1.03537	−	0.868778i
$471$	−4.95531	−	4.15800i	−0.228329	−	0.191590i
$472$	−2.06684	−	11.7217i	−0.0951342	−	0.539533i
$473$	−8.27054	−	3.01023i	−0.380280	−	0.138411i
$474$	−0.614245			−0.0282132
$475$	−10.6615	+	6.37241i	−0.489181	+	0.292386i
$476$	13.7857			0.631866
$477$	3.76558	+	1.37056i	0.172414	+	0.0627535i
$478$	3.08751	+	17.5101i	0.141219	+	0.800895i
$479$	−23.3017	−	19.5524i	−1.06468	−	0.893374i	−0.0701212	−	0.997538i	$-0.522339\pi$
$479$	−23.3017	−	19.5524i	−1.06468	−	0.893374i	−0.994560	+	0.104165i	$0.966783\pi$
$480$	−2.91329	+	2.44454i	−0.132973	+	0.111577i
$481$	5.69307	−	32.2870i	0.259582	−	1.47216i
$482$	−1.24694	+	2.15977i	−0.0567968	+	0.0983749i
$483$	−23.7514	−	41.1386i	−1.08073	−	1.87187i
$484$	−0.939693	+	0.342020i	−0.0427133	+	0.0155464i
$485$	−31.4370	+	11.4421i	−1.42748	+	0.519560i
$486$	5.62269	+	9.73878i	0.255050	+	0.441760i
$487$	−21.3594	+	36.9956i	−0.967889	+	1.67643i	−0.266244	+	0.963906i	$0.585783\pi$
$487$	−21.3594	+	36.9956i	−0.967889	+	1.67643i	−0.701645	+	0.712527i	$0.747551\pi$
$488$	−1.08903	+	6.17617i	−0.0492979	+	0.279582i
$489$	1.20523	−	1.01131i	0.0545026	−	0.0457331i
$490$	29.8603	+	25.0557i	1.34895	+	1.13190i
$491$	−6.17131	−	34.9992i	−0.278507	−	1.57949i	−0.727596	−	0.686006i	$-0.759362\pi$
$491$	−6.17131	−	34.9992i	−0.278507	−	1.57949i	0.449089	−	0.893487i	$-0.351749\pi$
$492$	−0.367201	−	0.133650i	−0.0165547	−	0.00602541i
$493$	−15.7020			−0.707182
$494$	−26.6686	+	5.11962i	−1.19988	+	0.230343i
$495$	3.24286			0.145756
$496$	3.21075	+	1.16862i	0.144167	+	0.0524725i
$497$	−8.29951	−	47.0689i	−0.372284	−	2.11133i
$498$	−6.39410	−	5.36528i	−0.286526	−	0.240424i
$499$	−8.80251	+	7.38618i	−0.394054	+	0.330651i	−0.818190	−	0.574948i	$-0.805022\pi$
$499$	−8.80251	+	7.38618i	−0.394054	+	0.330651i	0.424136	+	0.905599i	$0.360578\pi$
$500$	−1.04624	+	5.93349i	−0.0467891	+	0.265354i
$501$	7.57483	−	13.1200i	0.338418	−	0.586158i
$502$	14.9228	+	25.8471i	0.666037	+	1.15361i
$503$	−1.50139	+	0.546463i	−0.0669439	+	0.0243656i	−0.375275	−	0.926914i	$-0.622452\pi$
$503$	−1.50139	+	0.546463i	−0.0669439	+	0.0243656i	0.308331	+	0.951279i	$0.400230\pi$
$504$	−4.97393	+	1.81036i	−0.221557	+	0.0806400i
$505$	−1.63742	−	2.83610i	−0.0728644	−	0.126205i
$506$	3.82625	−	6.62726i	0.170098	−	0.294618i
$507$	−6.08411	+	34.5047i	−0.270205	+	1.53241i
$508$	−0.811542	+	0.680965i	−0.0360064	+	0.0302129i
$509$	8.33594	+	6.99468i	0.369484	+	0.310034i	0.808557	−	0.588417i	$-0.200249\pi$
$509$	8.33594	+	6.99468i	0.369484	+	0.310034i	−0.439073	+	0.898451i	$0.644693\pi$
$510$	1.99077	+	11.2902i	0.0881526	+	0.499938i
$511$	54.9112	+	19.9860i	2.42913	+	0.884130i
$512$	1.00000			0.0441942
$513$	−8.06255	+	23.2399i	−0.355970	+	1.02607i
$514$	−5.42826			−0.239430
$515$	−33.4790	−	12.1854i	−1.47526	−	0.536951i
$516$	2.07456	+	11.7654i	0.0913276	+	0.517944i
$517$	−8.01167	−	6.72259i	−0.352353	−	0.295659i
$518$	18.4355	−	15.4693i	0.810011	−	0.679680i
$519$	2.52986	−	14.3475i	0.111048	−	0.629787i
$520$	8.72717	−	15.1159i	0.382712	−	0.662876i
$521$	−6.01195	−	10.4130i	−0.263388	−	0.456202i	0.703752	−	0.710446i	$-0.251507\pi$
$521$	−6.01195	−	10.4130i	−0.263388	−	0.456202i	−0.967140	+	0.254244i	$0.918173\pi$
$522$	5.66535	−	2.06202i	0.247966	−	0.0902521i
$523$	−37.9065	+	13.7968i	−1.65754	+	0.603294i	−0.989973	−	0.141260i	$-0.954885\pi$
$523$	−37.9065	+	13.7968i	−1.65754	+	0.603294i	−0.667563	+	0.744553i	$0.732663\pi$
$524$	−6.85926	−	11.8806i	−0.299648	−	0.519006i
$525$	−8.84414	+	15.3185i	−0.385990	+	0.668554i
$526$	−0.901538	+	5.11288i	−0.0393089	+	0.222932i
$527$	7.89034	−	6.62078i	0.343709	−	0.288406i
$528$	1.03983	+	0.872521i	0.0452528	+	0.0379716i
$529$	6.17507	+	35.0206i	0.268481	+	1.52263i
$530$	−9.11478	−	3.31751i	−0.395921	−	0.144103i
$531$	13.7767			0.597856
$532$	−17.4118	−	9.70442i	−0.754896	−	0.420740i
$533$	1.79346			0.0776833
$534$	−12.6789	−	4.61474i	−0.548670	−	0.199700i
$535$	1.44645	+	8.20323i	0.0625355	+	0.354656i
$536$	−2.48341	−	2.08383i	−0.107267	−	0.0900077i
$537$	−2.29912	+	1.92919i	−0.0992143	+	0.0832507i
$538$	−3.38968	+	19.2238i	−0.146139	+	0.828798i
$539$	6.95647	−	12.0490i	0.299636	−	0.518985i
$540$	−7.90547	−	13.6927i	−0.340197	−	0.589239i
$541$	−23.0304	+	8.38239i	−0.990155	+	0.360387i	−0.785780	−	0.618506i	$-0.787738\pi$
$541$	−23.0304	+	8.38239i	−0.990155	+	0.360387i	−0.204375	+	0.978893i	$0.565516\pi$
$542$	−24.2038	+	8.80945i	−1.03964	+	0.378398i
$543$	−10.2195	−	17.7007i	−0.438560	−	0.759609i
$544$	1.50727	−	2.61067i	0.0646236	−	0.111931i
$545$	−5.54931	+	31.4717i	−0.237707	+	1.34810i
$546$	−29.6245	+	24.8579i	−1.26781	+	1.06382i
$547$	2.88170	+	2.41804i	0.123213	+	0.103388i	0.702312	−	0.711869i	$-0.252151\pi$
$547$	2.88170	+	2.41804i	0.123213	+	0.103388i	−0.579099	+	0.815257i	$0.696596\pi$
$548$	2.18475	+	12.3903i	0.0933279	+	0.529289i
$549$	−6.82119	−	2.48271i	−0.291121	−	0.105959i
$550$	−2.84951			−0.121503
$551$	19.8321	+	11.0534i	0.844878	+	0.470891i
$552$	−10.3875			−0.442122
$553$	1.94458	+	0.707770i	0.0826921	+	0.0300974i
$554$	−2.92381	−	16.5818i	−0.124221	−	0.704492i
$555$	15.3313	+	12.8645i	0.650776	+	0.546066i
$556$	9.97857	−	8.37301i	0.423186	−	0.355095i
$557$	4.35116	−	24.6767i	0.184365	−	1.04558i	−0.742404	−	0.669952i	$-0.766315\pi$
$557$	4.35116	−	24.6767i	0.184365	−	1.04558i	0.926769	−	0.375632i	$-0.122574\pi$
$558$	−1.97742	+	3.42498i	−0.0837107	+	0.144991i
$559$	−27.4158	−	47.4855i	−1.15956	−	2.00842i
$560$	12.0397	−	4.38208i	0.508769	−	0.185177i
$561$	3.84516	−	1.39952i	0.162343	−	0.0590880i
$562$	−4.69917	−	8.13920i	−0.198222	−	0.343331i
$563$	−8.34371	+	14.4517i	−0.351645	+	0.609068i	−0.986538	−	0.163533i	$-0.947711\pi$
$563$	−8.34371	+	14.4517i	−0.351645	+	0.609068i	0.634893	+	0.772600i	$0.281044\pi$
$564$	−2.46517	+	13.9807i	−0.103803	+	0.588694i
$565$	12.5916	−	10.5656i	0.529733	−	0.444499i
$566$	5.24841	+	4.40394i	0.220607	+	0.185111i
$567$	3.32563	+	18.8606i	0.139663	+	0.792070i
$568$	−9.82111	−	3.57459i	−0.412085	−	0.149987i
$569$	−16.1318			−0.676279			−0.338139	−	0.941096i	$-0.609798\pi$
$569$	−16.1318			−0.676279			−0.338139	+	0.941096i	$0.609798\pi$
$570$	5.43332	−	15.6613i	0.227577	−	0.655980i
$571$	−4.63473			−0.193957			−0.0969787	−	0.995286i	$-0.530918\pi$
$571$	−4.63473			−0.193957			−0.0969787	+	0.995286i	$0.530918\pi$
$572$	−5.85420	−	2.13076i	−0.244777	−	0.0890914i
$573$	−2.83900	−	16.1007i	−0.118601	−	0.672618i
$574$	1.00849	+	0.846222i	0.0420935	+	0.0353206i
$575$	16.7043	−	14.0165i	0.696616	−	0.584530i
$576$	−0.200991	+	1.13988i	−0.00837463	+	0.0474949i
$577$	−3.48775	+	6.04096i	−0.145197	+	0.251489i	−0.929446	−	0.368957i	$-0.879715\pi$
$577$	−3.48775	+	6.04096i	−0.145197	+	0.251489i	0.784249	+	0.620446i	$0.213048\pi$
$578$	3.95628	+	6.85248i	0.164560	+	0.285026i
$579$	−24.9753	+	9.09026i	−1.03794	+	0.377778i
$580$	−13.7133	+	4.99122i	−0.569413	+	0.207249i
$581$	14.0603	+	24.3531i	0.583319	+	1.01034i
$582$	8.10424	−	14.0370i	0.335932	−	0.581851i
$583$	−0.601186	+	3.40950i	−0.0248986	+	0.141207i
$584$	9.78862	−	8.21363i	0.405056	−	0.339882i
$585$	15.4762	+	12.9861i	0.639861	+	0.536907i
$586$	−0.0195911	−	0.111107i	−0.000809302	−	0.00458978i
$587$	−37.6801	−	13.7144i	−1.55523	−	0.566056i	−0.585590	−	0.810608i	$-0.699137\pi$
$587$	−37.6801	−	13.7144i	−1.55523	−	0.566056i	−0.969636	+	0.244552i	$0.921359\pi$
$588$	−18.8854			−0.778822
$589$	−14.6265	+	2.80787i	−0.602673	+	0.115696i
$590$	−33.3472			−1.37288
$591$	12.5237	+	4.55825i	0.515156	+	0.187501i
$592$	−0.913828	−	5.18258i	−0.0375581	−	0.213003i
$593$	−1.01406	−	0.850895i	−0.0416424	−	0.0349421i	0.621729	−	0.783232i	$-0.286431\pi$
$593$	−1.01406	−	0.850895i	−0.0416424	−	0.0349421i	−0.663371	+	0.748290i	$0.730875\pi$
$594$	−4.32305	+	3.62747i	−0.177377	+	0.148837i
$595$	6.70686	−	38.0365i	0.274955	−	1.55935i
$596$	0.724638	−	1.25511i	0.0296823	−	0.0514113i
$597$	14.2007	+	24.5963i	0.581195	+	1.00666i
$598$	44.7993	−	16.3056i	1.83198	−	0.666786i
$599$	2.08043	−	0.757215i	0.0850041	−	0.0309390i	−0.299168	−	0.954200i	$-0.596709\pi$
$599$	2.08043	−	0.757215i	0.0850041	−	0.0309390i	0.384172	+	0.923261i	$0.374487\pi$
$600$	1.93396	+	3.34972i	0.0789537	+	0.136752i
$601$	21.0583	−	36.4740i	0.858985	−	1.48781i	−0.0139132	−	0.999903i	$-0.504429\pi$
$601$	21.0583	−	36.4740i	0.858985	−	1.48781i	0.872898	−	0.487902i	$-0.162238\pi$
$602$	6.98918	−	39.6376i	0.284858	−	1.61551i
$603$	2.87445	−	2.41195i	0.117057	−	0.0982223i
$604$	6.57706	+	5.51881i	0.267617	+	0.224557i
$605$	0.486510	+	2.75913i	0.0197794	+	0.112175i
$606$	1.49095	+	0.542662i	0.0605658	+	0.0220442i
$607$	20.4686			0.830793			0.415397	−	0.909640i	$-0.363643\pi$
$607$	20.4686			0.830793			0.415397	+	0.909640i	$0.363643\pi$
$608$	−3.74151	+	2.23632i	−0.151738	+	0.0906947i
$609$	32.3333			1.31021
$610$	16.5111	+	6.00953i	0.668513	+	0.243319i
$611$	−11.3141	−	64.1657i	−0.457721	−	2.59586i
$612$	2.67289	+	2.24282i	0.108045	+	0.0906607i
$613$	4.42401	−	3.71218i	0.178684	−	0.149934i	−0.549059	−	0.835784i	$-0.685014\pi$
$613$	4.42401	−	3.71218i	0.178684	−	0.149934i	0.727743	+	0.685850i	$0.240569\pi$
$614$	−1.08982	+	6.18067i	−0.0439815	+	0.249431i
$615$	−0.547405	+	0.948134i	−0.0220735	+	0.0382324i
$616$	−2.28653	−	3.96039i	−0.0921270	−	0.159569i
$617$	24.6567	−	8.97429i	0.992640	−	0.361291i	0.205898	−	0.978573i	$-0.433988\pi$
$617$	24.6567	−	8.97429i	0.992640	−	0.361291i	0.786742	+	0.617282i	$0.211766\pi$
$618$	16.2203	−	5.90372i	0.652477	−	0.237482i
$619$	14.8243	+	25.6764i	0.595838	+	1.03202i	0.993428	+	0.114459i	$0.0365133\pi$
$619$	14.8243	+	25.6764i	0.595838	+	1.03202i	−0.397590	+	0.917563i	$0.630153\pi$
$620$	4.78644	−	8.29035i	0.192228	−	0.332949i
$621$	7.49912	−	42.5296i	0.300929	−	1.70666i
$622$	10.1424	−	8.51051i	0.406674	−	0.341240i
$623$	34.8216	+	29.2188i	1.39510	+	1.17063i
$624$	1.46845	+	8.32802i	0.0587852	+	0.333388i
$625$	29.2506	+	10.6463i	1.17002	+	0.425854i
$626$	10.8624			0.434151
$627$	−5.84177	−	0.939153i	−0.233298	−	0.0375062i
$628$	4.76550			0.190164
$629$	−14.9074	−	5.42584i	−0.594395	−	0.216342i
$630$	2.57517	+	14.6045i	0.102597	+	0.581857i
$631$	−14.1968	−	11.9125i	−0.565166	−	0.474230i	0.314872	−	0.949134i	$-0.398038\pi$
$631$	−14.1968	−	11.9125i	−0.565166	−	0.474230i	−0.880038	+	0.474904i	$0.842483\pi$
$632$	0.346647	−	0.290871i	0.0137889	−	0.0115702i
$633$	1.87048	−	10.6080i	0.0743448	−	0.421630i
$634$	4.75960	−	8.24388i	0.189028	−	0.327406i
$635$	1.48405	+	2.57045i	0.0588927	+	0.102005i
$636$	4.41604	−	1.60731i	0.175107	−	0.0637339i
$637$	81.4491	−	29.6451i	3.22713	−	1.17458i
$638$	2.60438	+	4.51092i	0.103108	+	0.178589i
$639$	6.04855	−	10.4764i	0.239277	−	0.414440i
$640$	0.486510	−	2.75913i	0.0192310	−	0.109064i
$641$	−16.2553	+	13.6398i	−0.642044	+	0.538739i	−0.904645	−	0.426166i	$-0.859864\pi$
$641$	−16.2553	+	13.6398i	−0.642044	+	0.538739i	0.262601	+	0.964904i	$0.415420\pi$
$642$	−3.09154	−	2.59411i	−0.122013	−	0.102381i
$643$	−2.66111	−	15.0919i	−0.104944	−	0.595168i	−0.991243	−	0.132053i	$-0.957843\pi$
$643$	−2.66111	−	15.0919i	−0.104944	−	0.595168i	0.886299	−	0.463114i	$-0.153268\pi$
$644$	32.8849	+	11.9691i	1.29585	+	0.471650i
$645$	33.4717			1.31795
$646$	0.198822	+	13.1386i	0.00782253	+	0.516930i
$647$	−27.6950			−1.08880			−0.544402	−	0.838824i	$-0.683243\pi$
$647$	−27.6950			−1.08880			−0.544402	+	0.838824i	$0.683243\pi$
$648$	3.93534	+	1.43235i	0.154595	+	0.0562678i
$649$	2.06684	+	11.7217i	0.0811307	+	0.460115i
$650$	−13.5990	−	11.4109i	−0.533395	−	0.447572i
$651$	−16.2477	+	13.6334i	−0.636796	+	0.534335i
$652$	−0.201270	+	1.14146i	−0.00788235	+	0.0447030i
$653$	−9.92256	+	17.1864i	−0.388300	+	0.672555i	−0.992221	−	0.124489i	$-0.960271\pi$
$653$	−9.92256	+	17.1864i	−0.388300	+	0.672555i	0.603921	+	0.797044i	$0.293604\pi$
$654$	−7.74152	−	13.4087i	−0.302717	−	0.524322i
$655$	−36.1172	+	13.1456i	−1.41122	+	0.513641i
$656$	0.270517	−	0.0984603i	0.0105619	−	0.00384423i
$657$	7.39510	+	12.8087i	0.288510	+	0.499715i
$658$	23.9137	−	41.4197i	0.932253	−	1.61471i
$659$	1.24313	−	7.05015i	0.0484255	−	0.274635i	−0.950975	−	0.309269i	$-0.899916\pi$
$659$	1.24313	−	7.05015i	0.0484255	−	0.274635i	0.999400	+	0.0346345i	$0.0110267\pi$
$660$	2.91329	−	2.44454i	0.113400	−	0.0951536i
$661$	2.87984	+	2.41648i	0.112013	+	0.0939900i	0.697074	−	0.716999i	$-0.254485\pi$
$661$	2.87984	+	2.41648i	0.112013	+	0.0939900i	−0.585061	+	0.810989i	$0.698929\pi$
$662$	−2.16915	−	12.3019i	−0.0843064	−	0.478125i
$663$	23.9550	+	8.71892i	0.930336	+	0.338615i
$664$	6.14918			0.238634
$665$	−35.2468	+	43.3201i	−1.36681	+	1.67988i
$666$	6.09117			0.236028
$667$	−37.4562	−	13.6329i	−1.45031	−	0.527869i
$668$	1.93805	+	10.9912i	0.0749853	+	0.425263i
$669$	−24.3672	−	20.4465i	−0.942090	−	0.790508i
$670$	−6.95777	+	5.83826i	−0.268802	+	0.225552i
$671$	1.08903	−	6.17617i	0.0420414	−	0.238428i
$672$	−3.10374	+	5.37584i	−0.119729	+	0.207378i
$673$	−24.1165	−	41.7709i	−0.929621	−	1.61015i	−0.783955	−	0.620817i	$-0.786801\pi$
$673$	−24.1165	−	41.7709i	−0.929621	−	1.61015i	−0.145666	−	0.989334i	$-0.546533\pi$
$674$	33.0539	−	12.0306i	1.27319	−	0.463403i
$675$	−15.1110	+	5.49994i	−0.581621	+	0.211693i
$676$	−12.9059	−	22.3537i	−0.496381	−	0.859757i
$677$	4.82947	−	8.36489i	0.185612	−	0.321489i	−0.758171	−	0.652056i	$-0.773907\pi$
$677$	4.82947	−	8.36489i	0.185612	−	0.321489i	0.943782	+	0.330567i	$0.107240\pi$
$678$	−1.38288	+	7.84271i	−0.0531092	+	0.301197i
$679$	−41.8307	+	35.1002i	−1.60532	+	1.34702i
$680$	−6.46987	−	5.42887i	−0.248108	−	0.208188i
$681$	−0.947663	−	5.37446i	−0.0363145	−	0.205950i
$682$	−3.21075	−	1.16862i	−0.122946	−	0.0447487i
$683$	−40.2860			−1.54150			−0.770750	−	0.637138i	$-0.780118\pi$
$683$	−40.2860			−1.54150			−0.770750	+	0.637138i	$0.780118\pi$
$684$	−1.79712	−	4.71434i	−0.0687145	−	0.180257i
$685$	35.2495			1.34681
$686$	29.7068	+	10.8124i	1.13421	+	0.412819i
$687$	−4.21004	−	23.8763i	−0.160623	−	0.910938i
$688$	−6.74221	−	5.65739i	−0.257044	−	0.215686i
$689$	−16.5225	+	13.8640i	−0.629456	+	0.528176i
$690$	−5.05363	+	28.6606i	−0.192388	+	1.09109i
$691$	−11.9859	+	20.7602i	−0.455966	+	0.789756i	−0.998743	−	0.0501207i	$-0.984039\pi$
$691$	−11.9859	+	20.7602i	−0.455966	+	0.789756i	0.542777	+	0.839877i	$0.317373\pi$
$692$	5.36645	+	9.29497i	0.204002	+	0.353342i
$693$	4.97393	−	1.81036i	0.188944	−	0.0687700i
$694$	−1.91000	+	0.695182i	−0.0725025	+	0.0263887i
$695$	−18.2476	−	31.6057i	−0.692170	−	1.19887i
$696$	3.53519	−	6.12312i	0.134001	−	0.232096i
$697$	0.150696	−	0.854637i	0.00570800	−	0.0323717i
$698$	10.3658	−	8.69794i	0.392351	−	0.329222i
$699$	−12.4078	−	10.4114i	−0.469306	−	0.393794i
$700$	−2.26281	−	12.8330i	−0.0855261	−	0.485042i
$701$	31.4373	+	11.4422i	1.18737	+	0.432167i	0.858799	−	0.512313i	$-0.171211\pi$
$701$	31.4373	+	11.4422i	1.18737	+	0.432167i	0.328570	+	0.944480i	$0.393433\pi$
$702$	−35.1575			−1.32694
$703$	15.0090	+	17.3470i	0.566075	+	0.654256i
$704$	−1.00000			−0.0376889
$705$	37.3753	+	13.6035i	1.40763	+	0.512337i
$706$	5.55970	+	31.5306i	0.209242	+	1.18667i
$707$	−4.09479	−	3.43593i	−0.154000	−	0.129222i
$708$	12.3766	−	10.3852i	0.465139	−	0.390298i
$709$	0.601092	−	3.40896i	0.0225745	−	0.128026i	−0.971438	−	0.237294i	$-0.923739\pi$
$709$	0.601092	−	3.40896i	0.0225745	−	0.128026i	0.994012	+	0.109268i	$0.0348506\pi$
$710$	−14.6408	+	25.3587i	−0.549461	+	0.951695i
$711$	0.261884	+	0.453597i	0.00982143	+	0.0170112i
$712$	9.34057	−	3.39969i	0.350053	−	0.127409i
$713$	24.5703	−	8.94286i	0.920165	−	0.334913i
$714$	9.35635	+	16.2057i	0.350153	+	0.606482i
$715$	−8.72717	+	15.1159i	−0.326377	+	0.565302i
$716$	0.383945	−	2.17746i	0.0143487	−	0.0813756i
$717$	−18.4884	+	15.5136i	−0.690464	+	0.579368i
$718$	−23.4313	−	19.6612i	−0.874448	−	0.733749i
$719$	3.22305	+	18.2789i	0.120200	+	0.681686i	0.984044	+	0.177927i	$0.0569390\pi$
$719$	3.22305	+	18.2789i	0.120200	+	0.681686i	−0.863844	+	0.503759i	$0.831950\pi$
$720$	3.04729	+	1.10912i	0.113566	+	0.0413346i
$721$	−58.1531			−2.16574
$722$	8.99776	−	16.7344i	0.334862	−	0.622790i
$723$	−3.38521			−0.125897
$724$	14.1494	+	5.14995i	0.525857	+	0.191396i
$725$	2.57735	+	14.6169i	0.0957205	+	0.542858i
$726$	−1.03983	−	0.872521i	−0.0385917	−	0.0323823i
$727$	24.3746	−	20.4527i	0.904004	−	0.758550i	−0.0669647	−	0.997755i	$-0.521331\pi$
$727$	24.3746	−	20.4527i	0.904004	−	0.758550i	0.970969	+	0.239206i	$0.0768870\pi$
$728$	4.94720	−	28.0570i	0.183356	−	1.03986i
$729$	−13.9141	+	24.0999i	−0.515337	+	0.892589i
$730$	−17.9002	−	31.0041i	−0.662517	−	1.14751i
$731$	−24.9319	+	9.07446i	−0.922138	+	0.335631i
$732$	−7.99948	+	2.91157i	−0.295669	+	0.107615i
$733$	9.97165	+	17.2714i	0.368311	+	0.637934i	0.989302	−	0.145884i	$-0.0466027\pi$
$733$	9.97165	+	17.2714i	0.368311	+	0.637934i	−0.620990	+	0.783818i	$0.713269\pi$
$734$	10.6544	−	18.4540i	0.393263	−	0.681151i
$735$	−9.18794	+	52.1074i	−0.338902	+	1.92201i
$736$	5.86216	−	4.91894i	0.216082	−	0.181314i
$737$	2.48341	+	2.08383i	0.0914776	+	0.0767588i
$738$	0.0578610	+	0.328146i	0.00212989	+	0.0120792i
$739$	7.62140	+	2.77396i	0.280358	+	0.102042i	0.478372	−	0.878157i	$-0.341227\pi$
$739$	7.62140	+	2.77396i	0.280358	+	0.102042i	−0.198014	+	0.980199i	$0.563449\pi$
$740$	−14.7440			−0.542000
$741$	−24.1183	−	27.8754i	−0.886009	−	1.02403i
$742$	−15.8324			−0.581225
$743$	7.61293	+	2.77088i	0.279291	+	0.101654i	0.477868	−	0.878432i	$-0.341410\pi$
$743$	7.61293	+	2.77088i	0.279291	+	0.101654i	−0.198577	+	0.980085i	$0.563632\pi$
$744$	0.805378	+	4.56753i	0.0295266	+	0.167454i
$745$	−3.11047	−	2.61000i	−0.113959	−	0.0956228i
$746$	−15.3243	+	12.8586i	−0.561064	+	0.470788i
$747$	−1.23593	+	7.00931i	−0.0452203	+	0.256457i
$748$	−1.50727	+	2.61067i	−0.0551112	+	0.0954554i
$749$	6.79813	+	11.7747i	0.248398	+	0.430239i
$750$	−7.68517	+	2.79717i	−0.280623	+	0.102138i
$751$	−25.2409	+	9.18695i	−0.921055	+	0.335237i	−0.758658	−	0.651489i	$-0.774145\pi$
$751$	−25.2409	+	9.18695i	−0.921055	+	0.335237i	−0.162397	+	0.986726i	$0.551922\pi$
$752$	−5.22925	−	9.05732i	−0.190691	−	0.330287i
$753$	−20.2562	+	35.0848i	−0.738178	+	1.27856i
$754$	−5.63490	+	31.9571i	−0.205211	+	1.16381i
$755$	18.4269	−	15.4620i	0.670625	−	0.562721i
$756$	−19.7696	−	16.5887i	−0.719013	−	0.603324i
$757$	1.58491	+	8.98848i	0.0576046	+	0.326692i	0.999969	−	0.00789687i	$-0.00251368\pi$
$757$	1.58491	+	8.98848i	0.0576046	+	0.326692i	−0.942364	+	0.334589i	$0.891403\pi$
$758$	4.24293	+	1.54430i	0.154110	+	0.0560915i
$759$	10.3875			0.377043
$760$	4.35002	+	11.4113i	0.157792	+	0.413932i
$761$	27.0589			0.980883			0.490442	−	0.871474i	$-0.336835\pi$
$761$	27.0589			0.980883			0.490442	+	0.871474i	$0.336835\pi$
$762$	−1.35130	−	0.491832i	−0.0489524	−	0.0178172i
$763$	9.05786	+	51.3697i	0.327917	+	1.85971i
$764$	9.22657	+	7.74201i	0.333806	+	0.280096i
$765$	7.48863	−	6.28371i	0.270752	−	0.227188i
$766$	1.59346	−	9.03698i	0.0575742	−	0.326519i
$767$	−37.0757	+	64.2170i	−1.33873	+	2.31874i
$768$	0.678701	+	1.17554i	0.0244905	+	0.0424188i
$769$	38.9426	−	14.1739i	1.40430	−	0.511125i	0.474852	−	0.880066i	$-0.342502\pi$
$769$	38.9426	−	14.1739i	1.40430	−	0.511125i	0.929453	+	0.368941i	$0.120279\pi$
$770$	−12.0397	+	4.38208i	−0.433879	+	0.157919i
$771$	−3.68416	−	6.38116i	−0.132682	−	0.229812i
$772$	9.79008	−	16.9569i	0.352353	−	0.610293i
$773$	−4.31833	+	24.4905i	−0.155320	+	0.880861i	0.803174	+	0.595745i	$0.203143\pi$
$773$	−4.31833	+	24.4905i	−0.155320	+	0.880861i	−0.958493	+	0.285116i	$0.907968\pi$
$774$	7.80385	−	6.54821i	0.280504	−	0.235370i
$775$	−7.45839	−	6.25833i	−0.267913	−	0.224806i
$776$	2.07350	+	11.7594i	0.0744344	+	0.422138i
$777$	30.6970	+	11.1728i	1.10125	+	0.400822i
$778$	−11.1396			−0.399373
$779$	−0.791955	+	0.973353i	−0.0283747	+	0.0348740i
$780$	23.6925			0.848329
$781$	9.82111	+	3.57459i	0.351427	+	0.127909i
$782$	−4.00585	−	22.7183i	−0.143249	−	0.812405i
$783$	22.5177	+	18.8946i	0.804718	+	0.675239i
$784$	10.6579	−	8.94306i	0.380640	−	0.319395i
$785$	2.31846	−	13.1487i	0.0827495	−	0.469296i
$786$	9.31077	−	16.1267i	0.332104	−	0.575221i
$787$	−20.1730	−	34.9406i	−0.719088	−	1.24550i	−0.961361	−	0.275289i	$-0.911226\pi$
$787$	−20.1730	−	34.9406i	−0.719088	−	1.24550i	0.242273	−	0.970208i	$-0.422107\pi$
$788$	−9.22622	+	3.35807i	−0.328671	+	0.119626i
$789$	−6.62229	+	2.41032i	−0.235760	+	0.0858095i
$790$	−0.633905	−	1.09796i	−0.0225533	−	0.0390635i
$791$	13.4148	−	23.2351i	0.476975	−	0.826145i
$792$	0.200991	−	1.13988i	0.00714191	−	0.0405038i
$793$	29.9298	−	25.1141i	1.06284	−	0.891827i
$794$	1.62452	+	1.36313i	0.0576520	+	0.0483758i
$795$	−2.28633	−	12.9664i	−0.0810877	−	0.459871i
$796$	−19.6615	−	7.15620i	−0.696883	−	0.253645i
$797$	20.7163			0.733809			0.366905	−	0.930259i	$-0.380418\pi$
$797$	20.7163			0.733809			0.366905	+	0.930259i	$0.380418\pi$
$798$	−0.409410	−	27.0547i	−0.0144930	−	0.957726i
$799$	−31.5275			−1.11536
$800$	−2.67766	−	0.974589i	−0.0946696	−	0.0344569i
$801$	1.99786	+	11.3304i	0.0705908	+	0.400340i
$802$	2.66169	+	2.23342i	0.0939876	+	0.0788649i
$803$	−9.78862	+	8.21363i	−0.345433	+	0.289853i
$804$	0.764140	−	4.33366i	0.0269492	−	0.152836i
$805$	49.0233	−	84.9108i	1.72784	−	2.99271i
$806$	−10.6432	−	18.4346i	−0.374892	−	0.649331i
$807$	−24.8990	+	9.06251i	−0.876487	+	0.319015i
$808$	−1.09839	+	0.399780i	−0.0386411	+	0.0140642i
$809$	−5.58353	−	9.67096i	−0.196307	−	0.340013i	0.751022	−	0.660278i	$-0.229561\pi$
$809$	−5.58353	−	9.67096i	−0.196307	−	0.340013i	−0.947328	+	0.320265i	$0.896228\pi$
$810$	5.86661	−	10.1613i	0.206132	−	0.357031i
$811$	3.54618	−	20.1114i	0.124523	−	0.706206i	−0.857067	−	0.515205i	$-0.827716\pi$
$811$	3.54618	−	20.1114i	0.124523	−	0.706206i	0.981590	−	0.191001i	$-0.0611732\pi$
$812$	−18.2472	+	15.3112i	−0.640350	+	0.537318i
$813$	−26.7830	−	22.4736i	−0.939321	−	0.788184i
$814$	0.913828	+	5.18258i	0.0320297	+	0.181649i
$815$	3.05152	+	1.11066i	0.106890	+	0.0389048i
$816$	4.09194			0.143246
$817$	37.8777	+	6.08943i	1.32517	+	0.213042i
$818$	−21.6768			−0.757911
$819$	30.9872	+	11.2784i	1.08278	+	0.394099i
$820$	−0.140056	−	0.794296i	−0.00489096	−	0.0277380i
$821$	−24.4767	−	20.5384i	−0.854244	−	0.716796i	0.106476	−	0.994315i	$-0.466043\pi$
$821$	−24.4767	−	20.5384i	−0.854244	−	0.716796i	−0.960720	+	0.277519i	$0.910488\pi$
$822$	−13.0826	+	10.9776i	−0.456308	+	0.382888i
$823$	−0.581644	+	3.29867i	−0.0202748	+	0.114984i	−0.993266	−	0.115860i	$-0.963038\pi$
$823$	−0.581644	+	3.29867i	−0.0202748	+	0.114984i	0.972991	+	0.230844i	$0.0741488\pi$
$824$	−6.35822	+	11.0128i	−0.221499	+	0.383648i
$825$	−1.93396	−	3.34972i	−0.0673319	−	0.116622i
$826$	−51.1483	+	18.6164i	−1.77968	+	0.647749i
$827$	−22.6483	+	8.24329i	−0.787557	+	0.286647i	−0.704320	−	0.709883i	$-0.748748\pi$
$827$	−22.6483	+	8.24329i	−0.787557	+	0.286647i	−0.0832368	+	0.996530i	$0.526526\pi$
$828$	4.42874	+	7.67080i	0.153909	+	0.266579i
$829$	10.5627	−	18.2951i	0.366857	−	0.635416i	−0.622215	−	0.782846i	$-0.713767\pi$
$829$	10.5627	−	18.2951i	0.366857	−	0.635416i	0.989072	+	0.147431i	$0.0471003\pi$
$830$	2.99163	−	16.9664i	0.103841	−	0.588912i
$831$	17.5082	−	14.6911i	0.607353	−	0.509630i
$832$	−4.77239	−	4.00451i	−0.165453	−	0.138831i
$833$	−7.28299	−	41.3039i	−0.252341	−	1.43109i
$834$	16.6153	+	6.04748i	0.575341	+	0.209407i
$835$	31.2691			1.08211
$836$	3.74151	−	2.23632i	0.129403	−	0.0773447i
$837$	−19.2823			−0.666492
$838$	−3.25796	−	1.18580i	−0.112544	−	0.0409628i
$839$	−2.98081	−	16.9050i	−0.102909	−	0.583626i	−0.992035	−	0.125963i	$-0.959798\pi$
$839$	−2.98081	−	16.9050i	−0.102909	−	0.583626i	0.889126	−	0.457663i	$-0.151313\pi$
$840$	13.3227	+	11.1790i	0.459675	+	0.385713i
$841$	−1.43162	+	1.20127i	−0.0493662	+	0.0414231i
$842$	0.142877	−	0.810298i	0.00492388	−	0.0279247i
$843$	6.37866	−	11.0482i	0.219693	−	0.380519i
$844$	3.96774	+	6.87233i	0.136575	+	0.236556i
$845$	−67.9557	+	24.7338i	−2.33775	+	0.850870i
$846$	11.3753	−	4.14026i	0.391090	−	0.142345i
$847$	2.28653	+	3.96039i	0.0785662	+	0.136081i
$848$	−1.73105	+	2.99826i	−0.0594444	+	0.102961i
$849$	−1.61492	+	9.15869i	−0.0554240	+	0.314325i
$850$	−6.58028	+	5.52151i	−0.225702	+	0.189386i
$851$	−30.8498	−	25.8860i	−1.05752	−	0.887362i
$852$	−2.46350	−	13.9712i	−0.0843983	−	0.478646i
$853$	−5.21370	−	1.89763i	−0.178514	−	0.0649737i	0.251217	−	0.967931i	$-0.419169\pi$
$853$	−5.21370	−	1.89763i	−0.178514	−	0.0649737i	−0.429731	+	0.902957i	$0.641391\pi$
$854$	28.6797			0.981401
$855$	−13.8818	+	2.66492i	−0.474748	+	0.0911382i
$856$	2.97312			0.101619
$857$	35.1435	+	12.7912i	1.20048	+	0.436939i	0.863391	−	0.504535i	$-0.168336\pi$
$857$	35.1435	+	12.7912i	1.20048	+	0.436939i	0.337088	+	0.941473i	$0.390558\pi$
$858$	−1.46845	−	8.32802i	−0.0501322	−	0.284314i
$859$	−5.28464	−	4.43434i	−0.180309	−	0.151298i	0.548166	−	0.836370i	$-0.315326\pi$
$859$	−5.28464	−	4.43434i	−0.180309	−	0.151298i	−0.728475	+	0.685072i	$0.759771\pi$
$860$	−18.8896	+	15.8503i	−0.644131	+	0.540490i
$861$	−0.310310	+	1.75985i	−0.0105753	+	0.0599757i
$862$	−2.52960	+	4.38140i	−0.0861587	+	0.149231i
$863$	21.8464	+	37.8391i	0.743661	+	1.28806i	0.950818	+	0.309752i	$0.100246\pi$
$863$	21.8464	+	37.8391i	0.743661	+	1.28806i	−0.207156	+	0.978308i	$0.566421\pi$
$864$	−5.30301	+	1.93014i	−0.180412	+	0.0656646i
$865$	28.2569	−	10.2847i	0.960763	−	0.349689i
$866$	−7.49649	−	12.9843i	−0.254741	−	0.441225i
$867$	−5.37026	+	9.30157i	−0.182384	+	0.315898i
$868$	2.71331	−	15.3879i	0.0920956	−	0.522300i
$869$	−0.346647	+	0.290871i	−0.0117592	+	0.00986713i
$870$	−15.1746	−	12.7330i	−0.514468	−	0.431689i
$871$	3.50709	+	19.8897i	0.118833	+	0.673937i
$872$	10.7185	+	3.90121i	0.362974	+	0.132112i
$873$	−13.8210			−0.467771
$874$	−10.9330	+	31.5139i	−0.369815	+	1.06597i
$875$	27.5529			0.931456
$876$	16.2990	+	5.93236i	0.550693	+	0.200436i
$877$	5.60564	+	31.7912i	0.189289	+	1.07351i	0.920320	+	0.391167i	$0.127929\pi$
$877$	5.60564	+	31.7912i	0.189289	+	1.07351i	−0.731030	+	0.682345i	$0.760960\pi$
$878$	29.9910	+	25.1655i	1.01215	+	0.849293i
$879$	0.117314	−	0.0984384i	0.00395692	−	0.00332025i
$880$	−0.486510	+	2.75913i	−0.0164002	+	0.0930104i
$881$	−23.8507	+	41.3106i	−0.803551	+	1.39179i	0.113714	+	0.993513i	$0.463725\pi$
$881$	−23.8507	+	41.3106i	−0.803551	+	1.39179i	−0.917265	+	0.398277i	$0.869608\pi$
$882$	8.05184	+	13.9462i	0.271120	+	0.469593i
$883$	9.92704	−	3.61315i	0.334071	−	0.121592i	−0.169538	−	0.985524i	$-0.554227\pi$
$883$	9.92704	−	3.61315i	0.334071	−	0.121592i	0.503609	+	0.863932i	$0.332005\pi$
$884$	−17.6477	+	6.42324i	−0.593557	+	0.216037i
$885$	−22.6327	−	39.2010i	−0.760791	−	1.31773i
$886$	6.75893	−	11.7068i	0.227071	−	0.393298i
$887$	1.69431	−	9.60890i	0.0568893	−	0.322635i	−0.943061	−	0.332620i	$-0.892067\pi$
$887$	1.69431	−	9.60890i	0.0568893	−	0.322635i	0.999950	+	0.00998504i	$0.00317839\pi$
$888$	5.47213	−	4.59166i	0.183633	−	0.154086i
$889$	3.71123	+	3.11410i	0.124471	+	0.104443i
$890$	−4.83592	−	27.4259i	−0.162100	−	0.919317i
$891$	−3.93534	−	1.43235i	−0.131839	−	0.0479854i
$892$	23.4338			0.784623
$893$	39.8203	+	22.1938i	1.33254	+	0.742687i
$894$	1.96725			0.0657946
$895$	−5.82111	−	2.11871i	−0.194578	−	0.0708207i
$896$	−0.794105	−	4.50359i	−0.0265292	−	0.150454i
$897$	49.5733	+	41.5969i	1.65520	+	1.38888i
$898$	2.15061	−	1.80458i	0.0717668	−	0.0602195i
$899$	−3.09048	+	17.5270i	−0.103073	+	0.584557i
$900$	1.64910	−	2.85632i	0.0549699	−	0.0952107i
$901$	5.21831	+	9.03837i	0.173847	+	0.301112i
$902$	−0.270517	+	0.0984603i	−0.00900725	+	0.00327837i
$903$	51.3393	−	18.6860i	1.70846	−	0.621830i
$904$	−2.93343	−	5.08086i	−0.0975646	−	0.168987i
$905$	21.0932	−	36.5345i	0.701161	−	1.21445i
$906$	−2.02375	+	11.4772i	−0.0672345	+	0.381306i
$907$	−32.9162	+	27.6199i	−1.09296	+	0.917105i	−0.996932	−	0.0782735i	$-0.975059\pi$
$907$	−32.9162	+	27.6199i	−1.09296	+	0.917105i	−0.0960310	+	0.995378i	$0.530615\pi$
$908$	3.07985	+	2.58430i	0.102208	+	0.0857630i
$909$	−0.234934	−	1.33238i	−0.00779228	−	0.0441922i
$910$	−75.0061	−	27.3000i	−2.48643	−	0.904986i
$911$	−9.08213			−0.300904			−0.150452	−	0.988617i	$-0.548073\pi$
$911$	−9.08213			−0.300904			−0.150452	+	0.988617i	$0.548073\pi$
$912$	−5.16825	−	2.88052i	−0.171138	−	0.0953834i
$913$	−6.14918			−0.203508
$914$	−17.2335	−	6.27246i	−0.570032	−	0.207475i
$915$	4.14159	+	23.4881i	0.136917	+	0.776494i
$916$	13.6824	+	11.4809i	0.452078	+	0.379339i
$917$	−48.0583	+	40.3257i	−1.58703	+	1.33167i
$918$	−2.95412	+	16.7536i	−0.0975003	+	0.552952i
$919$	14.7081	−	25.4752i	0.485177	−	0.840351i	−0.514678	−	0.857383i	$-0.672089\pi$
$919$	14.7081	−	25.4752i	0.485177	−	0.840351i	0.999855	+	0.0170328i	$0.00542197\pi$
$920$	−10.7200	−	18.5676i	−0.353428	−	0.612155i
$921$	−8.00531	+	2.91369i	−0.263784	+	0.0960095i
$922$	−15.0589	+	5.48098i	−0.495938	+	0.180507i
$923$	32.5557	+	56.3881i	1.07158	+	1.85604i
$924$	3.10374	−	5.37584i	0.102106	−	0.176852i
$925$	−2.60396	+	14.7678i	−0.0856177	+	0.485562i
$926$	16.9353	−	14.2104i	0.556530	−	0.466984i
$927$	−11.2752	−	9.46106i	−0.370328	−	0.310742i
$928$	0.904491	+	5.12962i	0.0296914	+	0.168388i
$929$	1.66339	+	0.605426i	0.0545742	+	0.0198634i	0.369163	−	0.929365i	$-0.379644\pi$
$929$	1.66339	+	0.605426i	0.0545742	+	0.0198634i	−0.314589	+	0.949228i	$0.601867\pi$
$930$	12.9942			0.426098
$931$	−19.8772	+	57.2950i	−0.651448	+	1.87777i
$932$	11.9325			0.390863
$933$	16.8881	+	6.14678i	0.552893	+	0.201237i
$934$	3.50414	+	19.8730i	0.114659	+	0.650263i
$935$	6.46987	+	5.42887i	0.211588	+	0.177543i
$936$	5.52386	−	4.63507i	0.180553	−	0.151502i
$937$	2.18462	−	12.3896i	0.0713684	−	0.404750i	−0.928106	−	0.372317i	$-0.878563\pi$
$937$	2.18462	−	12.3896i	0.0713684	−	0.404750i	0.999474	−	0.0324330i	$-0.0103256\pi$
$938$	−7.41263	+	12.8390i	−0.242031	+	0.419210i
$939$	7.37235	+	12.7693i	0.240588	+	0.416710i
$940$	−27.5344	+	10.0217i	−0.898074	+	0.326872i
$941$	47.1486	−	17.1607i	1.53700	−	0.559422i	0.571676	−	0.820479i	$-0.306293\pi$
$941$	47.1486	−	17.1607i	1.53700	−	0.559422i	0.965323	+	0.261057i	$0.0840712\pi$
$942$	3.23435	+	5.60206i	0.105381	+	0.182525i
$943$	1.10150	−	1.90785i	0.0358697	−	0.0621281i
$944$	−2.06684	+	11.7217i	−0.0672701	+	0.381507i
$945$	−55.3884	+	46.4764i	−1.80179	+	1.51188i
$946$	6.74221	+	5.65739i	0.219208	+	0.183937i
$947$	5.18183	+	29.3876i	0.168387	+	0.954970i	0.945503	+	0.325613i	$0.105571\pi$
$947$	5.18183	+	29.3876i	0.168387	+	0.954970i	−0.777116	+	0.629357i	$0.783318\pi$
$948$	0.577201	+	0.210084i	0.0187466	+	0.00682321i
$949$	−79.6067			−2.58414
$950$	12.1980	−	2.34167i	0.395755	−	0.0759738i
$951$	12.9214			0.419005
$952$	−12.9543	−	4.71498i	−0.419851	−	0.152813i
$953$	−0.807573	−	4.57997i	−0.0261598	−	0.148360i	0.968930	−	0.247335i	$-0.0795547\pi$
$953$	−0.807573	−	4.57997i	−0.0261598	−	0.148360i	−0.995090	+	0.0989749i	$0.968444\pi$
$954$	−3.06973	−	2.57581i	−0.0993860	−	0.0833948i
$955$	25.8501	−	21.6908i	0.836488	−	0.701897i
$956$	3.08751	−	17.5101i	0.0998572	−	0.566318i
$957$	−3.53519	+	6.12312i	−0.114276	+	0.197932i
$958$	15.2091	+	26.3429i	0.491384	+	0.851101i
$959$	54.0661	−	19.6784i	1.74589	−	0.635450i
$960$	3.57368	−	1.30071i	0.115340	−	0.0419803i
$961$	9.66269	+	16.7363i	0.311700	+	0.539880i
$962$	−16.3925	+	28.3927i	−0.528517	+	0.915418i
$963$	−0.597570	+	3.38899i	−0.0192564	+	0.109209i
$964$	1.91043	−	1.60304i	0.0615308	−	0.0516305i
$965$	−42.0234	−	35.2618i	−1.35278	−	1.13512i
$966$	8.24878	+	46.7811i	0.265400	+	1.50516i
$967$	7.03581	+	2.56083i	0.226257	+	0.0823506i	0.452661	−	0.891683i	$-0.350475\pi$
$967$	7.03581	+	2.56083i	0.226257	+	0.0823506i	−0.226404	+	0.974033i	$0.572697\pi$
$968$	1.00000			0.0321412
$969$	−15.3100	+	9.15087i	−0.491829	+	0.293968i
$970$	33.4546			1.07416
$971$	−46.0140	−	16.7477i	−1.47666	−	0.537460i	−0.526759	−	0.850015i	$-0.676593\pi$
$971$	−46.0140	−	16.7477i	−1.47666	−	0.537460i	−0.949900	+	0.312555i	$0.898815\pi$
$972$	−1.95274	−	11.0745i	−0.0626341	−	0.355216i
$973$	−45.6326	−	38.2903i	−1.46292	−	1.22753i
$974$	32.7246	−	27.4592i	1.04856	−	0.879849i
$975$	4.18437	−	23.7308i	0.134007	−	0.759992i
$976$	3.13572	−	5.43123i	0.100372	−	0.173850i
$977$	0.609930	+	1.05643i	0.0195134	+	0.0337982i	0.875617	−	0.483006i	$-0.160455\pi$
$977$	0.609930	+	1.05643i	0.0195134	+	0.0337982i	−0.856104	+	0.516804i	$0.827122\pi$
$978$	−1.47844	+	0.538108i	−0.0472753	+	0.0172068i
$979$	−9.34057	+	3.39969i	−0.298526	+	0.108655i
$980$	−19.4899	−	33.7575i	−0.622582	−	1.07834i
$981$	−6.60122	+	11.4337i	−0.210761	+	0.365049i
$982$	−6.17131	+	34.9992i	−0.196934	+	1.11687i
$983$	19.6016	−	16.4477i	0.625195	−	0.524601i	−0.274236	−	0.961662i	$-0.588425\pi$
$983$	19.6016	−	16.4477i	0.625195	−	0.524601i	0.899432	+	0.437061i	$0.143981\pi$
$984$	0.299345	+	0.251180i	0.00954276	+	0.00800733i
$985$	4.77672	+	27.0901i	0.152199	+	0.863163i
$986$	14.7550	+	5.37040i	0.469896	+	0.171028i
$987$	64.9210			2.06646
$988$	26.8113	+	4.31033i	0.852981	+	0.137130i
$989$	−67.3522			−2.14168
$990$	−3.04729	−	1.10912i	−0.0968492	−	0.0352502i
$991$	−1.68788	−	9.57243i	−0.0536172	−	0.304078i	0.946192	−	0.323605i	$-0.104895\pi$
$991$	−1.68788	−	9.57243i	−0.0536172	−	0.304078i	−0.999809	+	0.0195271i	$0.993784\pi$
$992$	−2.61743	−	2.19629i	−0.0831035	−	0.0697321i
$993$	12.9892	−	10.8992i	0.412199	−	0.345876i
$994$	−8.29951	+	47.0689i	−0.263245	+	1.49293i
$995$	−29.3104	+	50.7671i	−0.929203	+	1.60943i
$996$	4.17345	+	7.22863i	0.132241	+	0.229048i
$997$	15.7101	−	5.71800i	0.497543	−	0.181091i	−0.0810453	−	0.996710i	$-0.525826\pi$
$997$	15.7101	−	5.71800i	0.497543	−	0.181091i	0.578589	+	0.815619i	$0.303604\pi$
$998$	10.7979	−	3.93010i	0.341801	−	0.124405i
$999$	14.8491	+	25.7194i	0.469806	+	0.813727i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	418.2.j.d.23.2	✓	30
19.5	even	9	inner	418.2.j.d.309.2	yes	30
19.9	even	9		7942.2.a.ca.1.6		15
19.10	odd	18		7942.2.a.by.1.10		15

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
418.2.j.d.23.2	✓	30	1.1	even	1	trivial
418.2.j.d.309.2	yes	30	19.5	even	9	inner
7942.2.a.by.1.10		15	19.10	odd	18
7942.2.a.ca.1.6		15	19.9	even	9

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:	\( N \)	\(=\)	\( 418 = 2 \cdot 11 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	418.j (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.939693 - 0.342020i) q^{2} +(-0.235710 - 1.33678i) q^{3} +(0.766044 + 0.642788i) q^{4} +(2.14622 - 1.80090i) q^{5} +(-0.235710 + 1.33678i) q^{6} +(2.28653 - 3.96039i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(1.08766 - 0.395875i) q^{9} +O(q^{10})\)	\(q+(-0.939693 - 0.342020i) q^{2} +(-0.235710 - 1.33678i) q^{3} +(0.766044 + 0.642788i) q^{4} +(2.14622 - 1.80090i) q^{5} +(-0.235710 + 1.33678i) q^{6} +(2.28653 - 3.96039i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(1.08766 - 0.395875i) q^{9} +(-2.63273 + 0.958237i) q^{10} +(0.500000 + 0.866025i) q^{11} +(0.678701 - 1.17554i) q^{12} +(-1.08181 + 6.13527i) q^{13} +(-3.50317 + 2.93951i) q^{14} +(-2.91329 - 2.44454i) q^{15} +(0.173648 + 0.984808i) q^{16} +(2.83274 + 1.03103i) q^{17} -1.15746 q^{18} +(-2.85205 - 3.29633i) q^{19} +2.80170 q^{20} +(-5.83313 - 2.12309i) q^{21} +(-0.173648 - 0.984808i) q^{22} +(5.86216 + 4.91894i) q^{23} +(-1.03983 + 0.872521i) q^{24} +(0.494812 - 2.80622i) q^{25} +(3.11496 - 5.39526i) q^{26} +(-2.82167 - 4.88728i) q^{27} +(4.29728 - 1.56408i) q^{28} +(-4.89463 + 1.78150i) q^{29} +(1.90151 + 3.29352i) q^{30} +(1.70841 - 2.95905i) q^{31} +(0.173648 - 0.984808i) q^{32} +(1.03983 - 0.872521i) q^{33} +(-2.30927 - 1.93771i) q^{34} +(-2.22484 - 12.6177i) q^{35} +(1.08766 + 0.395875i) q^{36} -5.26253 q^{37} +(1.55264 + 4.07300i) q^{38} +8.45649 q^{39} +(-2.63273 - 0.958237i) q^{40} +(-0.0499896 - 0.283505i) q^{41} +(4.75521 + 3.99009i) q^{42} +(-6.74221 + 5.65739i) q^{43} +(-0.173648 + 0.984808i) q^{44} +(1.62143 - 2.80840i) q^{45} +(-3.82625 - 6.62726i) q^{46} +(-9.82777 + 3.57702i) q^{47} +(1.27554 - 0.464259i) q^{48} +(-6.95647 - 12.0490i) q^{49} +(-1.42475 + 2.46775i) q^{50} +(0.710557 - 4.02977i) q^{51} +(-4.77239 + 4.00451i) q^{52} +(2.65212 + 2.22539i) q^{53} +(0.979956 + 5.55761i) q^{54} +(2.63273 + 0.958237i) q^{55} -4.57307 q^{56} +(-3.73421 + 4.58954i) q^{57} +5.20876 q^{58} +(11.1847 + 4.07089i) q^{59} +(-0.660389 - 3.74525i) q^{60} +(-4.80421 - 4.03121i) q^{61} +(-2.61743 + 2.19629i) q^{62} +(0.919146 - 5.21273i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(8.72717 + 15.1159i) q^{65} +(-1.27554 + 0.464259i) q^{66} +(3.04635 - 1.10878i) q^{67} +(1.50727 + 2.61067i) q^{68} +(5.19376 - 8.99586i) q^{69} +(-2.22484 + 12.6177i) q^{70} +(8.00625 - 6.71804i) q^{71} +(-0.886667 - 0.744002i) q^{72} +(2.21890 + 12.5840i) q^{73} +(4.94516 + 1.79989i) q^{74} -3.86793 q^{75} +(-0.0659542 - 4.35840i) q^{76} +4.57307 q^{77} +(-7.94650 - 2.89229i) q^{78} +(0.0785784 + 0.445640i) q^{79} +(2.14622 + 1.80090i) q^{80} +(-3.20812 + 2.69193i) q^{81} +(-0.0499896 + 0.283505i) q^{82} +(-3.07459 + 5.32534i) q^{83} +(-3.10374 - 5.37584i) q^{84} +(7.93648 - 2.88864i) q^{85} +(8.27054 - 3.01023i) q^{86} +(3.53519 + 6.12312i) q^{87} +(0.500000 - 0.866025i) q^{88} +(-1.72607 + 9.78902i) q^{89} +(-2.48417 + 2.08447i) q^{90} +(21.8245 + 18.3129i) q^{91} +(1.32884 + 7.53625i) q^{92} +(-4.35828 - 1.58628i) q^{93} +10.4585 q^{94} +(-12.0575 - 1.93843i) q^{95} -1.35740 q^{96} +(-11.2207 - 4.08400i) q^{97} +(2.41596 + 13.7016i) q^{98} +(0.886667 + 0.744002i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 30 q - 15 q^{8}+O(q^{10}) \) 30 * q - 15 * q^8	\( 30 q - 15 q^{8} + 15 q^{11} - 3 q^{12} - 21 q^{13} - 9 q^{14} + 3 q^{15} + 6 q^{17} + 60 q^{18} - 9 q^{19} + 18 q^{20} - 39 q^{21} + 15 q^{23} + 24 q^{25} - 3 q^{27} + 9 q^{28} - 3 q^{29} - 21 q^{30} - 18 q^{31} + 15 q^{34} + 51 q^{35} - 18 q^{37} - 6 q^{38} - 6 q^{41} + 51 q^{42} + 39 q^{43} - 54 q^{45} - 21 q^{46} - 3 q^{47} - 33 q^{49} - 24 q^{50} - 48 q^{51} - 12 q^{52} - 24 q^{53} - 9 q^{54} - 6 q^{57} - 18 q^{58} + 21 q^{59} + 3 q^{60} + 63 q^{61} - 27 q^{62} + 57 q^{63} - 15 q^{64} - 6 q^{65} - 45 q^{67} - 21 q^{68} + 42 q^{69} + 51 q^{70} - 48 q^{71} + 87 q^{73} + 9 q^{74} + 42 q^{75} - 9 q^{76} - 36 q^{78} - 57 q^{79} + 36 q^{81} - 6 q^{82} - 30 q^{83} + 9 q^{84} + 81 q^{85} - 24 q^{86} - 9 q^{87} + 15 q^{88} - 6 q^{89} - 114 q^{90} - 51 q^{91} - 3 q^{92} + 33 q^{93} + 78 q^{94} - 132 q^{95} + 6 q^{96} - 66 q^{97} + 9 q^{98}+O(q^{100}) \) 30 * q - 15 * q^8 + 15 * q^11 - 3 * q^12 - 21 * q^13 - 9 * q^14 + 3 * q^15 + 6 * q^17 + 60 * q^18 - 9 * q^19 + 18 * q^20 - 39 * q^21 + 15 * q^23 + 24 * q^25 - 3 * q^27 + 9 * q^28 - 3 * q^29 - 21 * q^30 - 18 * q^31 + 15 * q^34 + 51 * q^35 - 18 * q^37 - 6 * q^38 - 6 * q^41 + 51 * q^42 + 39 * q^43 - 54 * q^45 - 21 * q^46 - 3 * q^47 - 33 * q^49 - 24 * q^50 - 48 * q^51 - 12 * q^52 - 24 * q^53 - 9 * q^54 - 6 * q^57 - 18 * q^58 + 21 * q^59 + 3 * q^60 + 63 * q^61 - 27 * q^62 + 57 * q^63 - 15 * q^64 - 6 * q^65 - 45 * q^67 - 21 * q^68 + 42 * q^69 + 51 * q^70 - 48 * q^71 + 87 * q^73 + 9 * q^74 + 42 * q^75 - 9 * q^76 - 36 * q^78 - 57 * q^79 + 36 * q^81 - 6 * q^82 - 30 * q^83 + 9 * q^84 + 81 * q^85 - 24 * q^86 - 9 * q^87 + 15 * q^88 - 6 * q^89 - 114 * q^90 - 51 * q^91 - 3 * q^92 + 33 * q^93 + 78 * q^94 - 132 * q^95 + 6 * q^96 - 66 * q^97 + 9 * q^98

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