LMFDB - Embedded newform 170.2.r.b.97.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(170, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([12, 15]))

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

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

chi := DirichletCharacter("170.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 170 = 2 \cdot 5 \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	170.r (of order $16$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.35745683436$
Analytic rank:	$0$
Dimension:	$40$
Relative dimension:	$5$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			97.3
Character	$\chi$	$=$	170.97
Dual form			170.2.r.b.163.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.382683 - 0.923880i) q^{2} +(0.0178485 - 0.0897304i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(-0.936619 - 2.03045i) q^{5} +(-0.0760698 - 0.0508282i) q^{6} +(-3.86692 - 2.58379i) q^{7} +(-0.923880 + 0.382683i) q^{8} +(2.76391 + 1.14485i) q^{9} +O(q^{10})$	\(q+(0.382683 - 0.923880i) q^{2} +(0.0178485 - 0.0897304i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(-0.936619 - 2.03045i) q^{5} +(-0.0760698 - 0.0508282i) q^{6} +(-3.86692 - 2.58379i) q^{7} +(-0.923880 + 0.382683i) q^{8} +(2.76391 + 1.14485i) q^{9} +(-2.23432 + 0.0883019i) q^{10} +(1.32601 - 1.98452i) q^{11} +(-0.0760698 + 0.0508282i) q^{12} +4.39527 q^{13} +(-3.86692 + 2.58379i) q^{14} +(-0.198911 + 0.0478027i) q^{15} +1.00000i q^{16} +(-2.01803 + 3.59549i) q^{17} +(2.11540 - 2.11540i) q^{18} +(3.95151 - 1.63677i) q^{19} +(-0.773458 + 2.09804i) q^{20} +(-0.300864 + 0.300864i) q^{21} +(-1.32601 - 1.98452i) q^{22} +(-0.00109334 + 0.000217478i) q^{23} +(0.0178485 + 0.0897304i) q^{24} +(-3.24549 + 3.80352i) q^{25} +(1.68200 - 4.06070i) q^{26} +(0.304544 - 0.455782i) q^{27} +(0.907308 + 4.56135i) q^{28} +(-3.34235 - 0.664834i) q^{29} +(-0.0319559 + 0.202063i) q^{30} +(2.20807 + 3.30461i) q^{31} +(0.923880 + 0.382683i) q^{32} +(-0.154404 - 0.154404i) q^{33} +(2.54954 + 3.24035i) q^{34} +(-1.62444 + 10.2716i) q^{35} +(-1.14485 - 2.76391i) q^{36} +(3.12847 + 0.622292i) q^{37} -4.27708i q^{38} +(0.0784490 - 0.394390i) q^{39} +(1.64234 + 1.51747i) q^{40} +(8.42449 - 1.67574i) q^{41} +(0.162826 + 0.393097i) q^{42} +(0.627283 + 1.51440i) q^{43} +(-2.34090 + 0.465634i) q^{44} +(-0.264167 - 6.68427i) q^{45} +(-0.000217478 + 0.00109334i) q^{46} -12.7925i q^{47} +(0.0897304 + 0.0178485i) q^{48} +(5.59831 + 13.5155i) q^{49} +(2.27200 + 4.45399i) q^{50} +(0.286606 + 0.245252i) q^{51} +(-3.10793 - 3.10793i) q^{52} +(-3.98038 - 1.64873i) q^{53} +(-0.304544 - 0.455782i) q^{54} +(-5.27144 - 0.833671i) q^{55} +(4.56135 + 0.907308i) q^{56} +(-0.0763394 - 0.383784i) q^{57} +(-1.89329 + 2.83350i) q^{58} +(0.521410 - 1.25879i) q^{59} +(0.174453 + 0.106850i) q^{60} +(2.18343 + 10.9769i) q^{61} +(3.89805 - 0.775371i) q^{62} +(-7.72976 - 11.5684i) q^{63} +(0.707107 - 0.707107i) q^{64} +(-4.11670 - 8.92440i) q^{65} +(-0.201739 + 0.0835630i) q^{66} +(-4.34878 + 4.34878i) q^{67} +(3.96936 - 1.11544i) q^{68} +0.000101987i q^{69} +(8.86811 + 5.43158i) q^{70} +(-6.21714 + 4.15416i) q^{71} -2.99163 q^{72} +(8.62544 - 5.76334i) q^{73} +(1.77214 - 2.65219i) q^{74} +(0.283365 + 0.359106i) q^{75} +(-3.95151 - 1.63677i) q^{76} +(-10.2552 + 4.24783i) q^{77} +(-0.334347 - 0.223404i) q^{78} +(-7.53350 - 5.03372i) q^{79} +(2.03045 - 0.936619i) q^{80} +(6.31074 + 6.31074i) q^{81} +(1.67574 - 8.42449i) q^{82} +(-5.65365 + 13.6491i) q^{83} +0.425485 q^{84} +(9.19061 + 0.729901i) q^{85} +1.63917 q^{86} +(-0.119312 + 0.288044i) q^{87} +(-0.465634 + 2.34090i) q^{88} +(-10.3904 - 10.3904i) q^{89} +(-6.27655 - 2.31390i) q^{90} +(-16.9962 - 11.3565i) q^{91} +(0.000926886 + 0.000619326i) q^{92} +(0.335935 - 0.139149i) q^{93} +(-11.8187 - 4.89546i) q^{94} +(-7.02444 - 6.49033i) q^{95} +(0.0508282 - 0.0760698i) q^{96} +(-2.50619 + 1.67458i) q^{97} +14.6291 q^{98} +(5.93694 - 3.96694i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q+O(q^{10}) $ 40 * q	$ 40 q - 16 q^{10} - 16 q^{18} + 8 q^{25} - 8 q^{26} + 24 q^{27} - 8 q^{28} + 8 q^{29} + 16 q^{30} - 16 q^{31} - 32 q^{33} + 8 q^{34} - 32 q^{35} - 32 q^{39} - 56 q^{41} - 24 q^{42} + 16 q^{43} + 16 q^{44} + 24 q^{45} + 16 q^{49} - 32 q^{51} - 16 q^{52} + 16 q^{53} - 24 q^{54} - 8 q^{55} - 8 q^{56} - 120 q^{57} + 16 q^{58} + 8 q^{60} + 24 q^{61} - 8 q^{62} - 24 q^{63} - 32 q^{65} + 16 q^{67} - 8 q^{70} + 24 q^{71} + 56 q^{72} + 88 q^{73} + 32 q^{74} + 8 q^{75} + 24 q^{77} + 32 q^{78} - 104 q^{79} + 8 q^{80} + 48 q^{81} + 16 q^{82} + 16 q^{83} + 136 q^{85} + 96 q^{86} + 136 q^{87} - 16 q^{89} + 24 q^{90} + 48 q^{91} - 8 q^{92} - 8 q^{93} - 8 q^{94} - 136 q^{95} + 16 q^{97} + 72 q^{98} + 160 q^{99}+O(q^{100}) $ 40 * q - 16 * q^10 - 16 * q^18 + 8 * q^25 - 8 * q^26 + 24 * q^27 - 8 * q^28 + 8 * q^29 + 16 * q^30 - 16 * q^31 - 32 * q^33 + 8 * q^34 - 32 * q^35 - 32 * q^39 - 56 * q^41 - 24 * q^42 + 16 * q^43 + 16 * q^44 + 24 * q^45 + 16 * q^49 - 32 * q^51 - 16 * q^52 + 16 * q^53 - 24 * q^54 - 8 * q^55 - 8 * q^56 - 120 * q^57 + 16 * q^58 + 8 * q^60 + 24 * q^61 - 8 * q^62 - 24 * q^63 - 32 * q^65 + 16 * q^67 - 8 * q^70 + 24 * q^71 + 56 * q^72 + 88 * q^73 + 32 * q^74 + 8 * q^75 + 24 * q^77 + 32 * q^78 - 104 * q^79 + 8 * q^80 + 48 * q^81 + 16 * q^82 + 16 * q^83 + 136 * q^85 + 96 * q^86 + 136 * q^87 - 16 * q^89 + 24 * q^90 + 48 * q^91 - 8 * q^92 - 8 * q^93 - 8 * q^94 - 136 * q^95 + 16 * q^97 + 72 * q^98 + 160 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$71$	$137$
$\chi(n)$	$e\left(\frac{13}{16}\right)$	$e\left(\frac{1}{4}\right)$

Coefficient data

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

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

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

$2$	0.382683	−	0.923880i	0.270598	−	0.653281i
$2$	0.382683	−	0.923880i	0.270598	−	0.653281i
$3$	0.0178485	−	0.0897304i	0.0103048	−	0.0518059i	−0.975291	−	0.220925i	$-0.929092\pi$
$3$	0.0178485	−	0.0897304i	0.0103048	−	0.0518059i	0.985596	+	0.169119i	$0.0540923\pi$
$4$	−0.707107	−	0.707107i	−0.353553	−	0.353553i
$5$	−0.936619	−	2.03045i	−0.418869	−	0.908047i
$5$	−0.936619	−	2.03045i	−0.418869	−	0.908047i
$6$	−0.0760698	−	0.0508282i	−0.0310553	−	0.0207505i
$7$	−3.86692	−	2.58379i	−1.46156	−	0.976583i	−0.995789	−	0.0916770i	$-0.970777\pi$
$7$	−3.86692	−	2.58379i	−1.46156	−	0.976583i	−0.465770	−	0.884906i	$-0.654223\pi$
$8$	−0.923880	+	0.382683i	−0.326641	+	0.135299i
$9$	2.76391	+	1.14485i	0.921302	+	0.381616i
$10$	−2.23432	+	0.0883019i	−0.706555	+	0.0279235i
$11$	1.32601	−	1.98452i	0.399808	−	0.598355i	−0.575876	−	0.817537i	$-0.695339\pi$
$11$	1.32601	−	1.98452i	0.399808	−	0.598355i	0.975684	+	0.219182i	$0.0703389\pi$
$12$	−0.0760698	+	0.0508282i	−0.0219594	+	0.0146728i
$13$	4.39527			1.21903			0.609515	−	0.792775i	$-0.291364\pi$
$13$	4.39527			1.21903			0.609515	+	0.792775i	$0.291364\pi$
$14$	−3.86692	+	2.58379i	−1.03348	+	0.690548i
$15$	−0.198911	+	0.0478027i	−0.0513585	+	0.0123426i
$16$			1.00000i			0.250000i
$17$	−2.01803	+	3.59549i	−0.489443	+	0.872035i
$17$	−2.01803	+	3.59549i	−0.489443	+	0.872035i
$18$	2.11540	−	2.11540i	0.498605	−	0.498605i
$19$	3.95151	−	1.63677i	0.906538	−	0.375500i	0.119808	−	0.992797i	$-0.461772\pi$
$19$	3.95151	−	1.63677i	0.906538	−	0.375500i	0.786730	+	0.617297i	$0.211772\pi$
$20$	−0.773458	+	2.09804i	−0.172951	+	0.469135i
$21$	−0.300864	+	0.300864i	−0.0656538	+	0.0656538i
$22$	−1.32601	−	1.98452i	−0.282707	−	0.423101i
$23$	−0.00109334		0.000217478i	−0.000227977		4.53474e-5i	−0.195204	−	0.980763i	$-0.562537\pi$
$23$	−0.00109334		0.000217478i	−0.000227977		4.53474e-5i	0.194976	+	0.980808i	$0.437537\pi$
$24$	0.0178485	+	0.0897304i	0.00364331	+	0.0183161i
$25$	−3.24549	+	3.80352i	−0.649098	+	0.760705i
$26$	1.68200	−	4.06070i	0.329867	−	0.796369i
$27$	0.304544	−	0.455782i	0.0586095	−	0.0877152i
$28$	0.907308	+	4.56135i	0.171465	+	0.862013i
$29$	−3.34235	−	0.664834i	−0.620658	−	0.123457i	−0.125262	−	0.992124i	$-0.539977\pi$
$29$	−3.34235	−	0.664834i	−0.620658	−	0.123457i	−0.495396	+	0.868667i	$0.664977\pi$
$30$	−0.0319559	+	0.202063i	−0.00583433	+	0.0368915i
$31$	2.20807	+	3.30461i	0.396581	+	0.593526i	0.974997	−	0.222216i	$-0.0713291\pi$
$31$	2.20807	+	3.30461i	0.396581	+	0.593526i	−0.578416	+	0.815742i	$0.696329\pi$
$32$	0.923880	+	0.382683i	0.163320	+	0.0676495i
$33$	−0.154404	−	0.154404i	−0.0268783	−	0.0268783i
$34$	2.54954	+	3.24035i	0.437242	+	0.555715i
$35$	−1.62444	+	10.2716i	−0.274581	+	1.73622i
$36$	−1.14485	−	2.76391i	−0.190808	−	0.460651i
$37$	3.12847	+	0.622292i	0.514317	+	0.102304i	0.445424	−	0.895320i	$-0.353053\pi$
$37$	3.12847	+	0.622292i	0.514317	+	0.102304i	0.0688938	+	0.997624i	$0.478053\pi$
$38$		−	4.27708i		−	0.693834i
$39$	0.0784490	−	0.394390i	0.0125619	−	0.0631529i
$40$	1.64234	+	1.51747i	0.259677	+	0.239933i
$41$	8.42449	−	1.67574i	1.31568	−	0.261706i	0.513144	−	0.858303i	$-0.328481\pi$
$41$	8.42449	−	1.67574i	1.31568	−	0.261706i	0.802541	+	0.596597i	$0.203481\pi$
$42$	0.162826	+	0.393097i	0.0251246	+	0.0606562i
$43$	0.627283	+	1.51440i	0.0956598	+	0.230943i	0.964465	−	0.264211i	$-0.0851116\pi$
$43$	0.627283	+	1.51440i	0.0956598	+	0.230943i	−0.868805	+	0.495154i	$0.835112\pi$
$44$	−2.34090	+	0.465634i	−0.352904	+	0.0701969i
$45$	−0.264167	−	6.68427i	−0.0393796	−	0.996432i
$46$	−0.000217478		0.00109334i	−3.20654e−5		0.000161204i
$47$		−	12.7925i		−	1.86597i	−0.359914	−	0.932985i	$-0.617194\pi$
$47$		−	12.7925i		−	1.86597i	0.359914	−	0.932985i	$-0.382806\pi$
$48$	0.0897304	+	0.0178485i	0.0129515	+	0.00257621i
$49$	5.59831	+	13.5155i	0.799758	+	1.93079i
$50$	2.27200	+	4.45399i	0.321310	+	0.629889i
$51$	0.286606	+	0.245252i	0.0401329	+	0.0343422i
$52$	−3.10793	−	3.10793i	−0.430992	−	0.430992i
$53$	−3.98038	−	1.64873i	−0.546747	−	0.226470i	0.0921731	−	0.995743i	$-0.470619\pi$
$53$	−3.98038	−	1.64873i	−0.546747	−	0.226470i	−0.638920	+	0.769273i	$0.720619\pi$
$54$	−0.304544	−	0.455782i	−0.0414431	−	0.0620240i
$55$	−5.27144	−	0.833671i	−0.710801	−	0.112412i
$56$	4.56135	+	0.907308i	0.609535	+	0.121244i
$57$	−0.0763394	−	0.383784i	−0.0101114	−	0.0508335i
$58$	−1.89329	+	2.83350i	−0.248601	+	0.372057i
$59$	0.521410	−	1.25879i	0.0678817	−	0.163881i	−0.886298	−	0.463116i	$-0.846731\pi$
$59$	0.521410	−	1.25879i	0.0678817	−	0.163881i	0.954180	+	0.299235i	$0.0967314\pi$
$60$	0.174453	+	0.106850i	0.0225217	+	0.0137942i
$61$	2.18343	+	10.9769i	0.279560	+	1.40544i	0.823974	+	0.566627i	$0.191752\pi$
$61$	2.18343	+	10.9769i	0.279560	+	1.40544i	−0.544414	+	0.838817i	$0.683248\pi$
$62$	3.89805	−	0.775371i	0.495053	−	0.0984722i
$63$	−7.72976	−	11.5684i	−0.973858	−	1.45748i
$64$	0.707107	−	0.707107i	0.0883883	−	0.0883883i
$65$	−4.11670	−	8.92440i	−0.510613	−	1.10694i
$66$	−0.201739	+	0.0835630i	−0.0248323	+	0.0102859i
$67$	−4.34878	+	4.34878i	−0.531288	+	0.531288i	−0.920956	−	0.389667i	$-0.872590\pi$
$67$	−4.34878	+	4.34878i	−0.531288	+	0.531288i	0.389667	+	0.920956i	$0.372590\pi$
$68$	3.96936	−	1.11544i	0.481355	−	0.135267i
$69$		0	0.000101987i		0	1.22778e-5i
$70$	8.86811	+	5.43158i	1.05994	+	0.649198i
$71$	−6.21714	+	4.15416i	−0.737839	+	0.493008i	−0.866809	−	0.498640i	$-0.833833\pi$
$71$	−6.21714	+	4.15416i	−0.737839	+	0.493008i	0.128970	+	0.991648i	$0.458833\pi$
$72$	−2.99163			−0.352567
$73$	8.62544	−	5.76334i	1.00953	−	0.674547i	0.0632856	−	0.997995i	$-0.479842\pi$
$73$	8.62544	−	5.76334i	1.00953	−	0.674547i	0.946246	+	0.323448i	$0.104842\pi$
$74$	1.77214	−	2.65219i	0.206007	−	0.308311i
$75$	0.283365	+	0.359106i	0.0327201	+	0.0414660i
$76$	−3.95151	−	1.63677i	−0.453269	−	0.187750i
$77$	−10.2552	+	4.24783i	−1.16869	+	0.484085i
$78$	−0.334347	−	0.223404i	−0.0378574	−	0.0252955i
$79$	−7.53350	−	5.03372i	−0.847584	−	0.566338i	0.0541969	−	0.998530i	$-0.482740\pi$
$79$	−7.53350	−	5.03372i	−0.847584	−	0.566338i	−0.901781	+	0.432192i	$0.857740\pi$
$80$	2.03045	−	0.936619i	0.227012	−	0.104717i
$81$	6.31074	+	6.31074i	0.701194	+	0.701194i
$82$	1.67574	−	8.42449i	0.185054	−	0.930330i
$83$	−5.65365	+	13.6491i	−0.620569	+	1.49819i	0.230467	+	0.973080i	$0.425974\pi$
$83$	−5.65365	+	13.6491i	−0.620569	+	1.49819i	−0.851037	+	0.525106i	$0.824026\pi$
$84$	0.425485			0.0464243
$85$	9.19061	+	0.729901i	0.996861	+	0.0791689i
$86$	1.63917			0.176756
$87$	−0.119312	+	0.288044i	−0.0127915	+	0.0308815i
$88$	−0.465634	+	2.34090i	−0.0496367	+	0.249541i
$89$	−10.3904	−	10.3904i	−1.10138	−	1.10138i	−0.994244	−	0.107138i	$-0.965831\pi$
$89$	−10.3904	−	10.3904i	−1.10138	−	1.10138i	−0.107138	−	0.994244i	$-0.534169\pi$
$90$	−6.27655	−	2.31390i	−0.661607	−	0.243907i
$91$	−16.9962	−	11.3565i	−1.78168	−	1.19048i
$92$	0.000926886	0	0.000619326i	9.66346e−5	0	6.45692e-5i
$93$	0.335935	−	0.139149i	0.0348348	−	0.0144291i
$94$	−11.8187	−	4.89546i	−1.21900	−	0.504928i
$95$	−7.02444	−	6.49033i	−0.720693	−	0.665894i
$96$	0.0508282	−	0.0760698i	0.00518763	−	0.00776384i
$97$	−2.50619	+	1.67458i	−0.254465	+	0.170028i	−0.676260	−	0.736663i	$-0.736400\pi$
$97$	−2.50619	+	1.67458i	−0.254465	+	0.170028i	0.421795	+	0.906691i	$0.361400\pi$
$98$	14.6291			1.47776
$99$	5.93694	−	3.96694i	0.596685	−	0.398692i
$100$	4.98441	−	0.394590i	0.498441	−	0.0394590i
$101$		−	6.34820i		−	0.631669i	−0.948814	−	0.315835i	$-0.897715\pi$
$101$		−	6.34820i		−	0.631669i	0.948814	−	0.315835i	$-0.102285\pi$
$102$	0.336263	−	0.170936i	0.0332950	−	0.0169252i
$103$	5.92348	−	5.92348i	0.583658	−	0.583658i	−0.352249	−	0.935906i	$-0.614583\pi$
$103$	5.92348	−	5.92348i	0.583658	−	0.583658i	0.935906	+	0.352249i	$0.114583\pi$
$104$	−4.06070	+	1.68200i	−0.398185	+	0.164933i
$105$	0.892684	+	0.329095i	0.0871171	+	0.0321164i
$106$	−3.04645	+	3.04645i	−0.295897	+	0.295897i
$107$	2.86188	+	4.28310i	0.276668	+	0.414063i	0.943616	−	0.331041i	$-0.107400\pi$
$107$	2.86188	+	4.28310i	0.276668	+	0.414063i	−0.666948	+	0.745104i	$0.732400\pi$
$108$	−0.537631	+	0.106942i	−0.0517336	+	0.0102905i
$109$	1.05646	+	5.31120i	0.101191	+	0.508721i	0.997823	+	0.0659450i	$0.0210062\pi$
$109$	1.05646	+	5.31120i	0.101191	+	0.508721i	−0.896632	+	0.442776i	$0.853994\pi$
$110$	−2.78750	+	4.55115i	−0.265778	+	0.433935i
$111$	0.111677	−	0.269612i	0.0105999	−	0.0255904i
$112$	2.58379	−	3.86692i	0.244146	−	0.365390i
$113$	−0.164168	−	0.825327i	−0.0154436	−	0.0776402i	0.972295	−	0.233758i	$-0.0751022\pi$
$113$	−0.164168	−	0.825327i	−0.0154436	−	0.0776402i	−0.987739	+	0.156117i	$0.950102\pi$
$114$	−0.383784	−	0.0763394i	−0.0359447	−	0.00714984i
$115$	0.00146562	+	0.00201628i	0.000136670	+	0.000188019i
$116$	1.89329	+	2.83350i	0.175787	+	0.263084i
$117$	12.1481	+	5.03192i	1.12309	+	0.465201i
$118$	−0.963439	−	0.963439i	−0.0886918	−	0.0886918i
$119$	17.0936	−	8.68933i	1.56696	−	0.796550i
$120$	0.165476	−	0.120284i	0.0151058	−	0.0109804i
$121$	2.02952	+	4.89968i	0.184501	+	0.445426i
$122$	10.9769	+	2.18343i	0.993799	+	0.197679i
$123$		−	0.785842i		−	0.0708570i
$124$	0.775371	−	3.89805i	0.0696304	−	0.350056i
$125$	10.7627	+	3.02737i	0.962642	+	0.270776i
$126$	−13.6459	+	2.71433i	−1.21567	+	0.241812i
$127$	5.30049	+	12.7965i	0.470343	+	1.13551i	0.964012	+	0.265858i	$0.0856553\pi$
$127$	5.30049	+	12.7965i	0.470343	+	1.13551i	−0.493669	+	0.869650i	$0.664345\pi$
$128$	−0.382683	−	0.923880i	−0.0338248	−	0.0816602i
$129$	0.147083	−	0.0292567i	0.0129500	−	0.00257591i
$130$	−9.82046	+	0.388111i	−0.861312	+	0.0340396i
$131$	−0.0967560	+	0.486425i	−0.00845361	+	0.0424992i	−0.984782	−	0.173795i	$-0.944397\pi$
$131$	−0.0967560	+	0.486425i	−0.00845361	+	0.0424992i	0.976328	+	0.216294i	$0.0693970\pi$
$132$			0.218361i			0.0190059i
$133$	−19.5093	−	3.88063i	−1.69167	−	0.336493i
$134$	2.35354	+	5.68196i	0.203315	+	0.490846i
$135$	−1.21069	−	0.191468i	−0.104199	−	0.0164790i
$136$	0.488477	−	4.09407i	0.0418865	−	0.351063i
$137$	−11.1735	−	11.1735i	−0.954615	−	0.954615i	0.0443988	−	0.999014i	$-0.485863\pi$
$137$	−11.1735	−	11.1735i	−0.954615	−	0.954615i	−0.999014	+	0.0443988i	$0.985863\pi$
$138$	9.42239e−5	0	3.90288e-5i	8.02087e−6	0	3.32235e-6i
$139$	3.95946	+	5.92576i	0.335837	+	0.502616i	0.960501	−	0.278278i	$-0.0897637\pi$
$139$	3.95946	+	5.92576i	0.335837	+	0.502616i	−0.624663	+	0.780894i	$0.714764\pi$
$140$	8.41180	−	6.11449i	0.710927	−	0.516769i
$141$	−1.14787	−	0.228326i	−0.0966682	−	0.0192285i
$142$	1.45875	+	7.33362i	0.122415	+	0.615424i
$143$	5.82819	−	8.72250i	0.487377	−	0.729412i
$144$	−1.14485	+	2.76391i	−0.0954039	+	0.230325i
$145$	1.78059	+	7.40918i	0.147870	+	0.615299i
$146$	−2.02381	−	10.1744i	−0.167492	−	0.842040i
$147$	1.31267	−	0.261107i	0.108267	−	0.0215357i
$148$	−1.77214	−	2.65219i	−0.145669	−	0.218009i
$149$	−1.44279	+	1.44279i	−0.118198	+	0.118198i	−0.763732	−	0.645534i	$-0.776635\pi$
$149$	−1.44279	+	1.44279i	−0.118198	+	0.118198i	0.645534	+	0.763732i	$0.276635\pi$
$150$	0.440210	−	0.124371i	0.0359430	−	0.0101548i
$151$	−11.6867	+	4.84079i	−0.951050	+	0.393938i	−0.803625	−	0.595136i	$-0.797098\pi$
$151$	−11.6867	+	4.84079i	−0.951050	+	0.393938i	−0.147424	+	0.989073i	$0.547098\pi$
$152$	−3.02435	+	3.02435i	−0.245307	+	0.245307i
$153$	−9.69392	+	7.62727i	−0.783707	+	0.616629i
$154$			11.1001i			0.894473i
$155$	4.64174	−	7.57855i	0.372834	−	0.608724i
$156$	−0.334347	+	0.223404i	−0.0267692	+	0.0178866i
$157$	19.3501			1.54431			0.772153	−	0.635437i	$-0.219180\pi$
$157$	19.3501			1.54431			0.772153	+	0.635437i	$0.219180\pi$
$158$	−7.53350	+	5.03372i	−0.599333	+	0.400461i
$159$	−0.218985	+	0.327734i	−0.0173666	+	0.0259910i
$160$	−0.0883019	−	2.23432i	−0.00698088	−	0.176639i
$161$	0.00478977	+	0.00198399i	0.000377487	+	0.000156360i
$162$	8.24538	−	3.41535i	0.647819	−	0.268335i
$163$	8.65892	+	5.78570i	0.678219	+	0.453171i	0.846374	−	0.532589i	$-0.178781\pi$
$163$	8.65892	+	5.78570i	0.678219	+	0.453171i	−0.168155	+	0.985761i	$0.553781\pi$
$164$	−7.14194	−	4.77209i	−0.557692	−	0.372638i
$165$	−0.168893	+	0.458129i	−0.0131483	+	0.0356653i
$166$	10.4466	+	10.4466i	0.810813	+	0.810813i
$167$	−4.03146	+	20.2675i	−0.311964	+	1.56835i	0.433094	+	0.901349i	$0.357422\pi$
$167$	−4.03146	+	20.2675i	−0.311964	+	1.56835i	−0.745058	+	0.666999i	$0.767578\pi$
$168$	0.162826	−	0.393097i	0.0125623	−	0.0303281i
$169$	6.31842			0.486033
$170$	4.19143	−	8.21169i	0.321468	−	0.629808i
$171$	12.7954			0.978492
$172$	0.627283	−	1.51440i	0.0478299	−	0.115472i
$173$	−4.32184	+	21.7273i	−0.328583	+	1.65190i	0.364620	+	0.931156i	$0.381199\pi$
$173$	−4.32184	+	21.7273i	−0.328583	+	1.65190i	−0.693203	+	0.720742i	$0.743801\pi$
$174$	0.220459	+	0.220459i	0.0167130	+	0.0167130i
$175$	22.3776	−	6.32225i	1.69159	−	0.477917i
$176$	1.98452	+	1.32601i	0.149589	+	0.0999520i
$177$	−0.103646	−	0.0692538i	−0.00779049	−	0.00520544i
$178$	−13.5757	+	5.62325i	−1.01754	+	0.421481i
$179$	3.10649	+	1.28675i	0.232190	+	0.0961762i	0.495745	−	0.868468i	$-0.334895\pi$
$179$	3.10649	+	1.28675i	0.232190	+	0.0961762i	−0.263555	+	0.964644i	$0.584895\pi$
$180$	−4.53970	+	4.91329i	−0.338369	+	0.366215i
$181$	2.65931	−	3.97994i	0.197665	−	0.295827i	−0.719375	−	0.694622i	$-0.755572\pi$
$181$	2.65931	−	3.97994i	0.197665	−	0.295827i	0.917040	+	0.398795i	$0.130572\pi$
$182$	−16.9962	+	11.3565i	−1.25984	+	0.841799i
$183$	1.02393			0.0756910
$184$	0.000926886	0	0.000619326i	6.83310e−5	0	4.56573e-5i
$185$	−1.66665	−	6.93507i	−0.122535	−	0.509876i
$186$		−	0.363613i		−	0.0266614i
$187$	4.45939	+	8.77248i	0.326103	+	0.641507i
$188$	−9.04563	+	9.04563i	−0.659720	+	0.659720i
$189$	−2.35529	+	0.975594i	−0.171322	+	0.0709640i
$190$	−8.68442	+	4.00600i	−0.630034	+	0.290626i
$191$	8.15240	−	8.15240i	0.589887	−	0.589887i	−0.347714	−	0.937601i	$-0.613042\pi$
$191$	8.15240	−	8.15240i	0.589887	−	0.589887i	0.937601	+	0.347714i	$0.113042\pi$
$192$	−0.0508282	−	0.0760698i	−0.00366821	−	0.00548986i
$193$	−6.60105	+	1.31303i	−0.475154	+	0.0945141i	−0.426857	−	0.904319i	$-0.640379\pi$
$193$	−6.60105	+	1.31303i	−0.475154	+	0.0945141i	−0.0482969	+	0.998833i	$0.515379\pi$
$194$	0.588036	+	2.95626i	0.0422185	+	0.212247i
$195$	−0.874267	+	0.210106i	−0.0626075	+	0.0150460i
$196$	5.59831	−	13.5155i	0.399879	−	0.965393i
$197$	1.75865	−	2.63201i	0.125299	−	0.187523i	−0.763517	−	0.645788i	$-0.776529\pi$
$197$	1.75865	−	2.63201i	0.125299	−	0.187523i	0.888816	+	0.458265i	$0.151529\pi$
$198$	−1.39300	−	7.00310i	−0.0989965	−	0.497689i
$199$	−9.77518	−	1.94440i	−0.692944	−	0.137835i	−0.163960	−	0.986467i	$-0.552427\pi$
$199$	−9.77518	−	1.94440i	−0.692944	−	0.137835i	−0.528984	+	0.848632i	$0.677427\pi$
$200$	1.54290	−	4.75599i	0.109099	−	0.336300i
$201$	0.312599	+	0.467837i	0.0220490	+	0.0329987i
$202$	−5.86497	−	2.42935i	−0.412658	−	0.170929i
$203$	11.2068	+	11.2068i	0.786563	+	0.786563i
$204$	−0.0292417	−	0.376081i	−0.00204733	−	0.0263309i
$205$	−11.2930	−	15.5360i	−0.788740	−	1.08508i
$206$	−3.20576	−	7.73940i	−0.223356	−	0.539230i
$207$	−0.00327086		0.000650614i	−0.000227340		4.52208e-5i
$208$			4.39527i			0.304757i
$209$	1.99155	−	10.0122i	0.137759	−	0.692559i
$210$	0.645660	−	0.698794i	0.0445548	−	0.0482213i
$211$	−23.5701	+	4.68839i	−1.62263	+	0.322762i	−0.920936	−	0.389714i	$-0.872574\pi$
$211$	−23.5701	+	4.68839i	−1.62263	+	0.322762i	−0.701697	+	0.712475i	$0.747574\pi$
$212$	1.64873	+	3.98038i	0.113235	+	0.273374i
$213$	0.261788	+	0.632012i	0.0179374	+	0.0433048i
$214$	5.05226	−	1.00496i	0.345366	−	0.0686975i
$215$	2.48739	−	2.69208i	0.169638	−	0.183598i
$216$	−0.106942	+	0.537631i	−0.00727645	+	0.0365812i
$217$		−	18.4839i		−	1.25477i
$218$	5.31120	+	1.05646i	0.359720	+	0.0715527i
$219$	−0.363195	−	0.876831i	−0.0245425	−	0.0592508i
$220$	3.13798	+	4.31697i	0.211562	+	0.291050i
$221$	−8.86977	+	15.8032i	−0.596645	+	1.06304i
$222$	−0.206352	−	0.206352i	−0.0138494	−	0.0138494i
$223$	14.7966	+	6.12897i	0.990856	+	0.410426i	0.818436	−	0.574597i	$-0.194841\pi$
$223$	14.7966	+	6.12897i	0.990856	+	0.410426i	0.172420	+	0.985024i	$0.444841\pi$
$224$	−2.58379	−	3.86692i	−0.172637	−	0.258370i
$225$	−13.3247	+	6.79699i	−0.888312	+	0.453133i
$226$	−0.825327	−	0.164168i	−0.0548999	−	0.0109203i
$227$	1.25283	+	6.29840i	0.0831532	+	0.418039i	0.999831	+	0.0184111i	$0.00586078\pi$
$227$	1.25283	+	6.29840i	0.0831532	+	0.418039i	−0.916677	+	0.399628i	$0.869139\pi$
$228$	−0.217396	+	0.325357i	−0.0143974	+	0.0215473i
$229$	0.762347	−	1.84047i	0.0503773	−	0.121622i	−0.896687	−	0.442664i	$-0.854033\pi$
$229$	0.762347	−	1.84047i	0.0503773	−	0.121622i	0.947065	+	0.321043i	$0.104033\pi$
$230$	0.00242367		0.000582461i	0.000159812		3.84063e-5i
$231$	0.198120	+	0.996018i	0.0130354	+	0.0655332i
$232$	3.34235	−	0.664834i	0.219436	−	0.0436485i
$233$	−8.91276	−	13.3389i	−0.583895	−	0.873860i	0.415466	−	0.909609i	$-0.363618\pi$
$233$	−8.91276	−	13.3389i	−0.583895	−	0.873860i	−0.999361	+	0.0357486i	$0.988618\pi$
$234$	9.29777	−	9.29777i	0.607814	−	0.607814i
$235$	−25.9745	+	11.9817i	−1.69439	+	0.781597i
$236$	−1.25879	+	0.521410i	−0.0819405	+	0.0339409i
$237$	−0.586139	+	0.586139i	−0.0380738	+	0.0380738i
$238$	−1.48647	−	19.1177i	−0.0963536	−	1.23921i
$239$			2.96555i			0.191825i	0.995390	+	0.0959126i	$0.0305769\pi$
$239$			2.96555i			0.191825i	−0.995390	+	0.0959126i	$0.969423\pi$
$240$	−0.0478027	−	0.198911i	−0.00308565	−	0.0128396i
$241$	14.1578	−	9.45996i	0.911986	−	0.609370i	−0.00857702	−	0.999963i	$-0.502730\pi$
$241$	14.1578	−	9.45996i	0.911986	−	0.609370i	0.920563	+	0.390593i	$0.127730\pi$
$242$	5.30338			0.340914
$243$	2.04625	−	1.36726i	0.131267	−	0.0877097i
$244$	6.21790	−	9.30574i	0.398060	−	0.595739i
$245$	22.1991	−	24.0260i	1.41825	−	1.53496i
$246$	−0.726024	−	0.300729i	−0.0462896	−	0.0191738i
$247$	17.3680	−	7.19404i	1.10510	−	0.457746i
$248$	−3.30461	−	2.20807i	−0.209843	−	0.140213i
$249$	1.12383	+	0.750921i	0.0712200	+	0.0475877i
$250$	6.91562	−	8.78489i	0.437382	−	0.555605i
$251$	−9.27863	−	9.27863i	−0.585662	−	0.585662i	0.350792	−	0.936454i	$-0.385913\pi$
$251$	−9.27863	−	9.27863i	−0.585662	−	0.585662i	−0.936454	+	0.350792i	$0.885913\pi$
$252$	−2.71433	+	13.6459i	−0.170987	+	0.859608i
$253$	−0.00101819	+	0.00245813i	−6.40130e−5	+	0.000154541i
$254$	13.8509			0.869080
$255$	0.229533	−	0.811649i	0.0143739	−	0.0508274i
$256$	−1.00000			−0.0625000
$257$	1.03207	−	2.49163i	0.0643786	−	0.155424i	−0.888416	−	0.459039i	$-0.848194\pi$
$257$	1.03207	−	2.49163i	0.0643786	−	0.155424i	0.952795	+	0.303615i	$0.0981938\pi$
$258$	0.0292567	−	0.147083i	0.00182144	−	0.00915701i
$259$	−10.4897	−	10.4897i	−0.651797	−	0.651797i
$260$	−3.39956	+	9.22145i	−0.210832	+	0.571890i
$261$	−8.47680	−	5.66401i	−0.524700	−	0.350594i
$262$	0.412371	+	0.275538i	0.0254764	+	0.0170228i
$263$	1.21993	−	0.505311i	0.0752240	−	0.0311588i	−0.344754	−	0.938693i	$-0.612038\pi$
$263$	1.21993	−	0.505311i	0.0752240	−	0.0311588i	0.419978	+	0.907534i	$0.362038\pi$
$264$	0.201739	+	0.0835630i	0.0124162	+	0.00514295i
$265$	0.380434	+	9.62621i	0.0233699	+	0.591333i
$266$	−11.0511	+	16.5391i	−0.677587	+	1.01408i
$267$	−1.11779	+	0.746883i	−0.0684076	+	0.0457085i
$268$	6.15011			0.375677
$269$	12.5519	−	8.38694i	0.765306	−	0.511361i	−0.110587	−	0.993866i	$-0.535273\pi$
$269$	12.5519	−	8.38694i	0.765306	−	0.511361i	0.875893	+	0.482505i	$0.160273\pi$
$270$	−0.640203	+	1.04526i	−0.0389615	+	0.0636122i
$271$		−	26.1795i		−	1.59029i	−0.606418	−	0.795146i	$-0.707394\pi$
$271$		−	26.1795i		−	1.59029i	0.606418	−	0.795146i	$-0.292606\pi$
$272$	−3.59549	−	2.01803i	−0.218009	−	0.122361i
$273$	−1.32238	+	1.32238i	−0.0800339	+	0.0800339i
$274$	−14.5989	+	6.04705i	−0.881949	+	0.365315i
$275$	3.24460	+	11.4843i	0.195657	+	0.692527i
$276$	7.21159e−5	0	7.21159e-5i	4.34086e−6	0	4.34086e-6i
$277$	−6.48672	−	9.70806i	−0.389749	−	0.583301i	0.583766	−	0.811922i	$-0.301578\pi$
$277$	−6.48672	−	9.70806i	−0.389749	−	0.583301i	−0.973516	+	0.228621i	$0.926578\pi$
$278$	6.98991	−	1.39038i	0.419227	−	0.0833894i
$279$	2.31962	+	11.6615i	0.138872	+	0.698158i
$280$	−2.43000	−	10.1114i	−0.145220	−	0.604272i
$281$	−3.34148	+	8.06705i	−0.199336	+	0.481240i	−0.991663	−	0.128857i	$-0.958869\pi$
$281$	−3.34148	+	8.06705i	−0.199336	+	0.481240i	0.792327	+	0.610096i	$0.208869\pi$
$282$	−0.650217	+	0.973119i	−0.0387199	+	0.0579484i
$283$	−3.81812	−	19.1950i	−0.226963	−	1.14102i	−0.911264	−	0.411822i	$-0.864892\pi$
$283$	−3.81812	−	19.1950i	−0.226963	−	1.14102i	0.684301	−	0.729200i	$-0.260108\pi$
$284$	7.33362	+	1.45875i	0.435170	+	0.0865607i
$285$	−0.707755	+	0.514463i	−0.0419238	+	0.0304742i
$286$	−5.82819	−	8.72250i	−0.344628	−	0.515772i
$287$	−36.9066	−	15.2872i	−2.17853	−	0.902376i
$288$	2.11540	+	2.11540i	0.124651	+	0.124651i
$289$	−8.85515	−	14.5116i	−0.520891	−	0.853623i
$290$	7.52659	+	1.19032i	0.441977	+	0.0698979i
$291$	0.105529	+	0.254770i	0.00618624	+	0.0149349i
$292$	−10.1744	−	2.02381i	−0.595412	−	0.118435i
$293$			18.3200i			1.07026i	0.844768	+	0.535132i	$0.179738\pi$
$293$			18.3200i			1.07026i	−0.844768	+	0.535132i	$0.820262\pi$
$294$	0.261107	−	1.31267i	0.0152281	−	0.0765567i
$295$	−3.04429	+	0.120312i	−0.177245	+	0.00700484i
$296$	−3.12847	+	0.622292i	−0.181839	+	0.0361700i
$297$	−0.500678	−	1.20874i	−0.0290523	−	0.0701385i
$298$	0.780830	+	1.88509i	0.0452323	+	0.109200i
$299$	−0.00480552		0.000955876i	−0.000277910		5.52798e-5i
$300$	0.0535574	−	0.454295i	0.00309214	−	0.0262288i
$301$	1.48723	−	7.47682i	0.0857226	−	0.430957i
$302$			12.6496i			0.727902i
$303$	−0.569626	−	0.113306i	−0.0327242	−	0.00650925i
$304$	1.63677	+	3.95151i	0.0938751	+	0.226635i
$305$	20.2430	−	14.7145i	1.15911	−	0.842550i
$306$	3.33698	+	11.8748i	0.190762	+	0.678840i
$307$	17.8653	+	17.8653i	1.01963	+	1.01963i	0.999803	+	0.0198246i	$0.00631079\pi$
$307$	17.8653	+	17.8653i	1.01963	+	1.01963i	0.0198246	+	0.999803i	$0.493689\pi$
$308$	10.2552	+	4.24783i	0.584343	+	0.242043i
$309$	−0.425791	−	0.637241i	−0.0242224	−	0.0362514i
$310$	−5.22535	−	7.18859i	−0.296780	−	0.408285i
$311$	0.915442	+	0.182093i	0.0519100	+	0.0103255i	0.220977	−	0.975279i	$-0.429075\pi$
$311$	0.915442	+	0.182093i	0.0519100	+	0.0103255i	−0.169067	+	0.985605i	$0.554075\pi$
$312$	0.0784490	+	0.394390i	0.00444130	+	0.0223279i
$313$	−2.47912	+	3.71027i	−0.140128	+	0.209717i	−0.894895	−	0.446276i	$-0.852750\pi$
$313$	−2.47912	+	3.71027i	−0.140128	+	0.209717i	0.754767	+	0.655993i	$0.227750\pi$
$314$	7.40496	−	17.8772i	0.417886	−	1.00887i
$315$	−16.2493	+	26.5301i	−0.915543	+	1.49480i
$316$	1.76761	+	8.88636i	0.0994357	+	0.499897i
$317$	−9.62952	+	1.91543i	−0.540847	+	0.107581i	−0.457952	−	0.888977i	$-0.651417\pi$
$317$	−9.62952	+	1.91543i	−0.540847	+	0.107581i	−0.0828956	+	0.996558i	$0.526417\pi$
$318$	0.218985	+	0.327734i	0.0122801	+	0.0183784i
$319$	−5.75137	+	5.75137i	−0.322015	+	0.322015i
$320$	−2.09804	−	0.773458i	−0.117284	−	0.0432376i
$321$	0.435405	−	0.180351i	0.0243019	−	0.0100662i
$322$	0.00366593	−	0.00366593i	0.000204294	−	0.000204294i
$323$	−2.08925	+	17.5107i	−0.116249	+	0.974319i
$324$		−	8.92474i		−	0.495819i
$325$	−14.2648	+	16.7175i	−0.791269	+	0.927322i
$326$	8.65892	−	5.78570i	0.479573	−	0.320440i
$327$	0.495432			0.0273975
$328$	−7.14194	+	4.77209i	−0.394348	+	0.263495i
$329$	−33.0531	+	49.4674i	−1.82227	+	2.72723i
$330$	0.358623	+	0.331355i	0.0197416	+	0.0182405i
$331$	13.7973	+	5.71501i	0.758366	+	0.314125i	0.728150	−	0.685418i	$-0.240381\pi$
$331$	13.7973	+	5.71501i	0.758366	+	0.314125i	0.0302159	+	0.999543i	$0.490381\pi$
$332$	13.6491	−	5.65365i	0.749093	−	0.310285i
$333$	7.93437	+	5.30158i	0.434801	+	0.290525i
$334$	17.1820	+	11.4806i	0.940156	+	0.628192i
$335$	12.9032	+	4.75685i	0.704975	+	0.259895i
$336$	−0.300864	−	0.300864i	−0.0164135	−	0.0164135i
$337$	0.834198	−	4.19379i	0.0454416	−	0.228451i	−0.951390	−	0.307988i	$-0.900344\pi$
$337$	0.834198	−	4.19379i	0.0454416	−	0.228451i	0.996832	+	0.0795375i	$0.0253443\pi$
$338$	2.41796	−	5.83746i	0.131519	−	0.317516i
$339$	−0.0769870			−0.00418136
$340$	−5.98262	−	7.01486i	−0.324453	−	0.380434i
$341$	9.48599			0.513695
$342$	4.89661	−	11.8215i	0.264778	−	0.639231i
$343$	6.92193	−	34.7989i	0.373749	−	1.87896i
$344$	−1.15907	−	1.15907i	−0.0624928	−	0.0624928i
$345$	0.000207080	0	9.55232e-5i	1.11488e−5	0	5.14279e-6i
$346$	18.4195	+	12.3075i	0.990241	+	0.661658i
$347$	23.7059	+	15.8398i	1.27260	+	0.850324i	0.993925	−	0.110061i	$-0.0351046\pi$
$347$	23.7059	+	15.8398i	1.27260	+	0.850324i	0.278675	+	0.960385i	$0.410105\pi$
$348$	0.288044	−	0.119312i	0.0154408	−	0.00639577i
$349$	−24.0880	−	9.97759i	−1.28940	−	0.534088i	−0.370596	−	0.928794i	$-0.620846\pi$
$349$	−24.0880	−	9.97759i	−1.28940	−	0.534088i	−0.918807	+	0.394706i	$0.870846\pi$
$350$	2.72253	−	23.0936i	0.145525	−	1.23441i
$351$	1.33855	−	2.00329i	0.0714466	−	0.106927i
$352$	1.98452	−	1.32601i	0.105775	−	0.0706767i
$353$	−3.35583			−0.178613			−0.0893065	−	0.996004i	$-0.528465\pi$
$353$	−3.35583			−0.178613			−0.0893065	+	0.996004i	$0.528465\pi$
$354$	−0.103646	+	0.0692538i	−0.00550871	+	0.00368080i
$355$	14.2579	+	8.73276i	0.756732	+	0.463487i
$356$			14.6943i			0.778795i
$357$	−0.474603	−	1.68890i	−0.0251186	−	0.0893863i
$358$	2.37760	−	2.37760i	0.125660	−	0.125660i
$359$	−23.7104	+	9.82117i	−1.25139	+	0.518342i	−0.907256	−	0.420579i	$-0.861827\pi$
$359$	−23.7104	+	9.82117i	−1.25139	+	0.518342i	−0.344132	+	0.938921i	$0.611827\pi$
$360$	2.80202	+	6.07437i	0.147679	+	0.320147i
$361$	−0.499618	+	0.499618i	−0.0262957	+	0.0262957i
$362$	−2.65931	−	3.97994i	−0.139770	−	0.209181i
$363$	0.475874	−	0.0946573i	0.0249769	−	0.00496822i
$364$	3.98787	+	20.0484i	0.209021	+	1.05082i
$365$	−19.7809	−	12.1155i	−1.03538	−	0.634155i
$366$	0.391841	−	0.945988i	0.0204819	−	0.0494476i
$367$	−1.67143	+	2.50147i	−0.0872479	+	0.130576i	−0.872526	−	0.488567i	$-0.837520\pi$
$367$	−1.67143	+	2.50147i	−0.0872479	+	0.130576i	0.785278	+	0.619143i	$0.212520\pi$
$368$	−0.000217478	−	0.00109334i	−1.13368e−5	−	5.69941e-5i
$369$	25.2030	+	5.01318i	1.31201	+	0.260976i
$370$	−7.04497	−	1.11415i	−0.366250	−	0.0579220i
$371$	11.1318	+	16.6600i	0.577937	+	0.864943i
$372$	−0.335935	−	0.139149i	−0.0174174	−	0.00721453i
$373$	−23.8024	−	23.8024i	−1.23244	−	1.23244i	−0.963023	−	0.269421i	$-0.913168\pi$
$373$	−23.8024	−	23.8024i	−1.23244	−	1.23244i	−0.269421	−	0.963023i	$-0.586832\pi$
$374$	9.81125	−	0.762862i	0.507328	−	0.0394466i
$375$	0.463744	−	0.911705i	0.0239476	−	0.0470802i
$376$	4.89546	+	11.8187i	0.252464	+	0.609502i
$377$	−14.6905	−	2.92213i	−0.756600	−	0.150497i
$378$			2.54935i			0.131124i
$379$	−2.32635	+	11.6954i	−0.119497	+	0.600751i	0.873908	+	0.486091i	$0.161578\pi$
$379$	−2.32635	+	11.6954i	−0.119497	+	0.600751i	−0.993405	+	0.114659i	$0.963422\pi$
$380$	0.377674	+	9.55639i	0.0193743	+	0.490232i
$381$	1.24284	−	0.247217i	0.0636728	−	0.0126653i
$382$	−4.41205	−	10.6516i	−0.225740	−	0.544985i
$383$	5.29188	+	12.7757i	0.270402	+	0.652809i	0.999501	−	0.0316001i	$-0.0100603\pi$
$383$	5.29188	+	12.7757i	0.270402	+	0.652809i	−0.729098	+	0.684409i	$0.760060\pi$
$384$	−0.0897304	+	0.0178485i	−0.00457903	+	0.000910827i
$385$	18.2302	+	16.8441i	0.929098	+	0.858453i
$386$	−1.31303	+	6.60105i	−0.0668315	+	0.335985i
$387$			4.90379i			0.249274i
$388$	2.95626	+	0.588036i	0.150081	+	0.0298530i
$389$	2.82359	+	6.81676i	0.143162	+	0.345623i	0.979154	−	0.203118i	$-0.0651074\pi$
$389$	2.82359	+	6.81676i	0.143162	+	0.345623i	−0.835992	+	0.548741i	$0.815107\pi$
$390$	−0.140455	+	0.888121i	−0.00711222	+	0.0449718i
$391$	0.00142444	−	0.00436996i	7.20370e−5	−	0.000220999i
$392$	−10.3443	−	10.3443i	−0.522467	−	0.522467i
$393$	0.0419202	+	0.0173639i	0.00211459	+	0.000875893i
$394$	−1.75865	−	2.63201i	−0.0885997	−	0.132599i
$395$	−3.16473	+	20.0111i	−0.159235	+	1.00687i
$396$	−7.00310	−	1.39300i	−0.351919	−	0.0700011i
$397$	−2.26424	−	11.3831i	−0.113639	−	0.571301i	−0.995086	−	0.0990179i	$-0.968430\pi$
$397$	−2.26424	−	11.3831i	−0.113639	−	0.571301i	0.881447	−	0.472283i	$-0.156570\pi$
$398$	−5.53720	+	8.28700i	−0.277555	+	0.415390i
$399$	−0.696421	+	1.68131i	−0.0348647	+	0.0841707i
$400$	−3.80352	−	3.24549i	−0.190176	−	0.162274i
$401$	−4.69730	−	23.6149i	−0.234572	−	1.17927i	−0.901039	−	0.433739i	$-0.857194\pi$
$401$	−4.69730	−	23.6149i	−0.234572	−	1.17927i	0.666466	−	0.745535i	$-0.267806\pi$
$402$	0.551851	−	0.109770i	0.0275238	−	0.00547483i
$403$	9.70507	+	14.5247i	0.483444	+	0.723525i
$404$	−4.48886	+	4.48886i	−0.223329	+	0.223329i
$405$	6.90291	−	18.7244i	0.343009	−	0.930425i
$406$	14.6424	−	6.06507i	0.726689	−	0.301005i
$407$	5.38334	−	5.38334i	0.266842	−	0.266842i
$408$	−0.358644	−	0.116904i	−0.0177555	−	0.00578762i
$409$			21.0230i			1.03952i	0.854312	+	0.519760i	$0.173979\pi$
$409$			21.0230i			1.03952i	−0.854312	+	0.519760i	$0.826021\pi$
$410$	−18.6751	+	4.48803i	−0.922296	+	0.221648i
$411$	−1.20203	+	0.803171i	−0.0592918	+	0.0396175i
$412$	−8.37707			−0.412708
$413$	−5.26872	+	3.52044i	−0.259257	+	0.173230i
$414$	−0.00185279	+	0.00277290i	−9.10598e−5	+	0.000136281i
$415$	33.0093	−	1.30455i	1.62036	−	0.0640377i
$416$	4.06070	+	1.68200i	0.199092	+	0.0824667i
$417$	0.602391	−	0.249519i	0.0294992	−	0.0122190i
$418$	−8.48795	−	5.67146i	−0.415159	−	0.277400i
$419$	−19.3190	−	12.9085i	−0.943795	−	0.630623i	−0.0144732	−	0.999895i	$-0.504607\pi$
$419$	−19.3190	−	12.9085i	−0.943795	−	0.630623i	−0.929321	+	0.369272i	$0.879607\pi$
$420$	−0.398518	−	0.863929i	−0.0194457	−	0.0421554i
$421$	−14.2754	−	14.2754i	−0.695741	−	0.695741i	0.267748	−	0.963489i	$-0.413721\pi$
$421$	−14.2754	−	14.2754i	−0.695741	−	0.695741i	−0.963489	+	0.267748i	$0.913721\pi$
$422$	−4.68839	+	23.5701i	−0.228227	+	1.14737i
$423$	14.6454	−	35.3571i	0.712084	−	1.71912i
$424$	4.30833			0.209231
$425$	−7.12607	−	19.3447i	−0.345665	−	0.938358i
$426$	0.684085			0.0331440
$427$	19.9188	−	48.0882i	0.963938	−	2.32715i
$428$	1.00496	−	5.05226i	0.0485765	−	0.244210i
$429$	−0.678649	−	0.678649i	−0.0327655	−	0.0327655i
$430$	−1.53528	−	3.32826i	−0.0740377	−	0.160503i
$431$	6.31528	+	4.21973i	0.304196	+	0.203257i	0.698294	−	0.715811i	$-0.253943\pi$
$431$	6.31528	+	4.21973i	0.304196	+	0.203257i	−0.394098	+	0.919069i	$0.628943\pi$
$432$	0.455782	+	0.304544i	0.0219288	+	0.0146524i
$433$	21.9375	−	9.08683i	1.05425	−	0.436685i	0.212844	−	0.977086i	$-0.431727\pi$
$433$	21.9375	−	9.08683i	1.05425	−	0.436685i	0.841408	+	0.540401i	$0.181727\pi$
$434$	−17.0769	−	7.07347i	−0.819716	−	0.339538i
$435$	0.696609	−	0.0275304i	0.0333999	−	0.00131998i
$436$	3.00855	−	4.50262i	0.144084	−	0.215636i
$437$	−0.00396437	+	0.00264891i	−0.000189642	+	0.000126714i
$438$	−0.949075			−0.0453486
$439$	33.6919	−	22.5122i	1.60803	−	1.07445i	0.662425	−	0.749128i	$-0.269527\pi$
$439$	33.6919	−	22.5122i	1.60803	−	1.07445i	0.945603	−	0.325322i	$-0.105473\pi$
$440$	5.18921	−	1.24708i	0.247386	−	0.0594523i
$441$			43.7648i			2.08404i
$442$	11.2059	+	14.2422i	0.533011	+	0.677433i
$443$	1.94997	−	1.94997i	0.0926457	−	0.0926457i	−0.659265	−	0.751911i	$-0.729132\pi$
$443$	1.94997	−	1.94997i	0.0926457	−	0.0926457i	0.751911	+	0.659265i	$0.229132\pi$
$444$	−0.269612	+	0.111677i	−0.0127952	+	0.00529995i
$445$	−11.3654	+	30.8291i	−0.538772	+	1.46144i
$446$	11.3249	−	11.3249i	0.536248	−	0.536248i
$447$	0.103710	+	0.155213i	0.00490533	+	0.00734134i
$448$	−4.56135	+	0.907308i	−0.215503	+	0.0428663i
$449$	−1.27541	−	6.41191i	−0.0601903	−	0.302597i	0.938950	−	0.344053i	$-0.111800\pi$
$449$	−1.27541	−	6.41191i	−0.0601903	−	0.302597i	−0.999140	+	0.0414567i	$0.986800\pi$
$450$	1.18047	+	14.9115i	0.0556478	+	0.702935i
$451$	7.84545	−	18.9406i	0.369428	−	0.891878i
$452$	−0.467510	+	0.699678i	−0.0219898	+	0.0329101i
$453$	0.225776	+	1.13505i	0.0106079	+	0.0533294i
$454$	6.29840	+	1.25283i	0.295598	+	0.0587982i
$455$	−7.13988	+	45.1467i	−0.334723	+	2.11651i
$456$	0.217396	+	0.325357i	0.0101805	+	0.0152362i
$457$	−15.4210	−	6.38758i	−0.721363	−	0.298798i	−0.00836535	−	0.999965i	$-0.502663\pi$
$457$	−15.4210	−	6.38758i	−0.721363	−	0.298798i	−0.712997	+	0.701167i	$0.752663\pi$
$458$	−1.40863	−	1.40863i	−0.0658211	−	0.0658211i
$459$	1.02418	+	2.01476i	0.0478048	+	0.0940411i
$460$	0.000389373	−	0.00246207i	1.81546e−5	−	0.000114795i
$461$	6.05481	+	14.6176i	0.282001	+	0.680810i	0.999882	−	0.0153557i	$-0.00488806\pi$
$461$	6.05481	+	14.6176i	0.282001	+	0.680810i	−0.717882	+	0.696165i	$0.754888\pi$
$462$	0.996018	+	0.198120i	0.0463390	+	0.00921739i
$463$			5.90003i			0.274198i	0.990557	+	0.137099i	$0.0437778\pi$
$463$			5.90003i			0.274198i	−0.990557	+	0.137099i	$0.956222\pi$
$464$	0.664834	−	3.34235i	0.0308641	−	0.155165i
$465$	−0.597178	−	0.551771i	−0.0276935	−	0.0255878i
$466$	−15.7343	+	3.12975i	−0.728877	+	0.144983i
$467$	−6.81928	−	16.4632i	−0.315559	−	0.761826i	−0.999479	−	0.0322694i	$-0.989727\pi$
$467$	−6.81928	−	16.4632i	−0.315559	−	0.761826i	0.683921	−	0.729556i	$-0.260273\pi$
$468$	−5.03192	−	12.1481i	−0.232600	−	0.561547i
$469$	28.0528	−	5.58004i	1.29536	−	0.257662i
$470$	1.12960	+	28.5825i	0.0521044	+	1.31841i
$471$	0.345370	−	1.73629i	0.0159138	−	0.0800041i
$472$			1.36251i			0.0627145i
$473$	3.83713	+	0.763253i	0.176431	+	0.0350944i
$474$	0.317216	+	0.765828i	0.0145702	+	0.0351756i
$475$	−6.59909	+	20.3418i	−0.302787	+	0.933345i
$476$	−18.2313	−	5.94269i	−0.835628	−	0.272383i
$477$	−9.11385	−	9.11385i	−0.417295	−	0.417295i
$478$	2.73981	+	1.13487i	0.125316	+	0.0519075i
$479$	−19.1213	−	28.6170i	−0.873672	−	1.30754i	−0.950572	−	0.310504i	$-0.899502\pi$
$479$	−19.1213	−	28.6170i	−0.873672	−	1.30754i	0.0768995	−	0.997039i	$-0.475498\pi$
$480$	−0.202063	−	0.0319559i	−0.00922286	−	0.00145858i
$481$	13.7505	+	2.73514i	0.626968	+	0.124712i
$482$	−3.32190	−	16.7003i	−0.151308	−	0.760678i
$483$	0.000263514	0	0.000394377i	1.19903e−5	0	1.79448e-5i
$484$	2.02952	−	4.89968i	0.0922507	−	0.222713i
$485$	5.74751	+	3.52026i	0.260981	+	0.159847i
$486$	−0.480118	−	2.41371i	−0.0217786	−	0.109488i
$487$	−22.5703	+	4.48952i	−1.02276	+	0.203439i	−0.677853	−	0.735198i	$-0.737089\pi$
$487$	−22.5703	+	4.48952i	−1.02276	+	0.203439i	−0.344906	+	0.938637i	$0.612089\pi$
$488$	−6.21790	−	9.30574i	−0.281471	−	0.421251i
$489$	0.673702	−	0.673702i	0.0304659	−	0.0304659i
$490$	−13.7019	−	29.7037i	−0.618988	−	1.34188i
$491$	−1.48480	+	0.615024i	−0.0670081	+	0.0277557i	−0.415936	−	0.909394i	$-0.636546\pi$
$491$	−1.48480	+	0.615024i	−0.0670081	+	0.0277557i	0.348928	+	0.937150i	$0.386546\pi$
$492$	−0.555674	+	0.555674i	−0.0250517	+	0.0250517i
$493$	9.13534	−	10.6757i	0.411435	−	0.480811i
$494$		−	18.7989i		−	0.845804i
$495$	−13.6153	−	8.33918i	−0.611964	−	0.374818i
$496$	−3.30461	+	2.20807i	−0.148381	+	0.0991453i
$497$	34.7747			1.55986
$498$	1.12383	−	0.750921i	0.0503601	−	0.0336496i
$499$	12.0371	−	18.0147i	0.538853	−	0.806450i	−0.457726	−	0.889093i	$-0.651336\pi$
$499$	12.0371	−	18.0147i	0.538853	−	0.806450i	0.996579	+	0.0826428i	$0.0263361\pi$
$500$	−5.46969	−	9.75103i	−0.244612	−	0.436079i
$501$	1.74666	+	0.723489i	0.0780349	+	0.0323231i
$502$	−12.1231	+	5.02156i	−0.541081	+	0.224123i
$503$	2.55431	+	1.70674i	0.113891	+	0.0760997i	0.611211	−	0.791467i	$-0.290683\pi$
$503$	2.55431	+	1.70674i	0.113891	+	0.0760997i	−0.497320	+	0.867567i	$0.665683\pi$
$504$	11.5684	+	7.72976i	0.515297	+	0.344311i
$505$	−12.8897	+	5.94584i	−0.573585	+	0.264587i
$506$	0.00188137	+	0.00188137i	8.36370e−5	+	8.36370e-5i
$507$	0.112774	−	0.566955i	0.00500848	−	0.0251793i
$508$	5.30049	−	12.7965i	0.235171	−	0.567754i
$509$	−41.6090			−1.84429			−0.922143	−	0.386849i	$-0.873564\pi$
$509$	−41.6090			−1.84429			−0.922143	+	0.386849i	$0.873564\pi$
$510$	−0.662028	−	0.522665i	−0.0293151	−	0.0231440i
$511$	−48.2452			−2.13424
$512$	−0.382683	+	0.923880i	−0.0169124	+	0.0408301i
$513$	0.457398	−	2.29949i	0.0201946	−	0.101525i
$514$	−1.90701	−	1.90701i	−0.0841147	−	0.0841147i
$515$	−17.5754	−	6.47931i	−0.774465	−	0.285513i
$516$	−0.124691	−	0.0833160i	−0.00548923	−	0.00366778i
$517$	−25.3868	−	16.9630i	−1.11651	−	0.746030i
$518$	−13.7054	+	5.67697i	−0.602182	+	0.249432i
$519$	1.87246	+	0.775600i	0.0821921	+	0.0340451i
$520$	7.21855	+	6.66968i	0.316554	+	0.292485i
$521$	9.75289	−	14.5962i	0.427282	−	0.639472i	−0.553894	−	0.832587i	$-0.686859\pi$
$521$	9.75289	−	14.5962i	0.427282	−	0.639472i	0.981176	+	0.193115i	$0.0618589\pi$
$522$	−8.47680	+	5.66401i	−0.371019	+	0.247907i
$523$	−21.9413			−0.959427			−0.479714	−	0.877425i	$-0.659259\pi$
$523$	−21.9413			−0.959427			−0.479714	+	0.877425i	$0.659259\pi$
$524$	0.412371	−	0.275538i	0.0180145	−	0.0120369i
$525$	−0.167892	−	2.12079i	−0.00732742	−	0.0925589i
$526$		−	1.32044i		−	0.0575740i
$527$	−16.3376	+	1.27031i	−0.711679	+	0.0553358i
$528$	0.154404	−	0.154404i	0.00671958	−	0.00671958i
$529$	−21.2492	+	8.80172i	−0.923879	+	0.382683i
$530$	9.03904	+	3.33232i	0.392631	+	0.144747i
$531$	2.88225	−	2.88225i	0.125079	−	0.125079i
$532$	11.0511	+	16.5391i	0.479126	+	0.717063i
$533$	37.0279	−	7.36532i	1.60386	−	0.319027i
$534$	0.262270	+	1.31852i	0.0113496	+	0.0570581i
$535$	6.01616	−	9.82255i	0.260101	−	0.424666i
$536$	2.35354	−	5.68196i	0.101658	−	0.245423i
$537$	0.170907	−	0.255780i	0.00737517	−	0.0110377i
$538$	−2.94510	−	14.8060i	−0.126972	−	0.638333i
$539$	34.2452	+	6.81179i	1.47504	+	0.293405i
$540$	0.720696	+	0.991472i	0.0310138	+	0.0426662i
$541$	22.5072	+	33.6843i	0.967658	+	1.44820i	0.892508	+	0.451031i	$0.148944\pi$
$541$	22.5072	+	33.6843i	0.967658	+	1.44820i	0.0751502	+	0.997172i	$0.476056\pi$
$542$	−24.1867	−	10.0185i	−1.03891	−	0.430330i
$543$	−0.309657	−	0.309657i	−0.0132887	−	0.0132887i
$544$	−3.24035	+	2.54954i	−0.138929	+	0.109311i
$545$	9.79465	−	7.11967i	0.419557	−	0.304973i
$546$	0.715666	+	1.72777i	0.0306277	+	0.0739417i
$547$	2.68976	+	0.535026i	0.115006	+	0.0228761i	0.252258	−	0.967660i	$-0.418827\pi$
$547$	2.68976	+	0.535026i	0.115006	+	0.0228761i	−0.137252	+	0.990536i	$0.543827\pi$
$548$			15.8017i			0.675015i
$549$	−6.53203	+	32.8387i	−0.278780	+	1.40152i
$550$	11.8517	+	1.39721i	0.505359	+	0.0595773i
$551$	−14.2955	+	2.84355i	−0.609008	+	0.121139i
$552$	−3.90288e−5	0	9.42239e-5i	−1.66118e−6	0	4.01044e-6i
$553$	16.1253	+	38.9300i	0.685719	+	1.65547i
$554$	−11.4514	+	2.27783i	−0.486525	+	0.0967758i
$555$	−0.652034	+	0.0257688i	−0.0276773	+	0.00109382i
$556$	1.39038	−	6.98991i	0.0589652	−	0.296438i
$557$		−	2.98297i		−	0.126392i	−0.998001	−	0.0631962i	$-0.979871\pi$
$557$		−	2.98297i		−	0.126392i	0.998001	−	0.0631962i	$-0.0201294\pi$
$558$	11.6615	+	2.31962i	0.493672	+	0.0981975i
$559$	2.75708	+	6.65618i	0.116612	+	0.281526i
$560$	−10.2716	−	1.62444i	−0.434056	−	0.0686453i
$561$	0.866751	−	0.243568i	0.0365943	−	0.0102834i
$562$	6.17425	+	6.17425i	0.260445	+	0.260445i
$563$	12.8012	+	5.30241i	0.539504	+	0.223470i	0.635760	−	0.771887i	$-0.280687\pi$
$563$	12.8012	+	5.30241i	0.539504	+	0.223470i	−0.0962559	+	0.995357i	$0.530687\pi$
$564$	0.650217	+	0.973119i	0.0273791	+	0.0409757i
$565$	−1.52203	+	1.10635i	−0.0640321	+	0.0465446i
$566$	−19.1950	−	3.81812i	−0.806825	−	0.160487i
$567$	−8.09749	−	40.7088i	−0.340063	−	1.70961i
$568$	4.15416	−	6.21714i	0.174305	−	0.260865i
$569$	10.6188	−	25.6361i	0.445164	−	1.07472i	−0.528948	−	0.848654i	$-0.677413\pi$
$569$	10.6188	−	25.6361i	0.445164	−	1.07472i	0.974112	−	0.226067i	$-0.0725867\pi$
$570$	0.204456	+	0.850757i	0.00856371	+	0.0356343i
$571$	8.99364	+	45.2141i	0.376372	+	1.89215i	0.446801	+	0.894633i	$0.352563\pi$
$571$	8.99364	+	45.2141i	0.376372	+	1.89215i	−0.0704287	+	0.997517i	$0.522437\pi$
$572$	−10.2889	+	2.04659i	−0.430200	+	0.0855721i
$573$	−0.586010	−	0.877026i	−0.0244809	−	0.0366383i
$574$	−28.2471	+	28.2471i	−1.17901	+	1.17901i
$575$	0.00272123	−	0.00486436i	0.000113483	−	0.000202858i
$576$	2.76391	−	1.14485i	0.115163	−	0.0477020i
$577$	−1.83915	+	1.83915i	−0.0765649	+	0.0765649i	−0.744352	−	0.667787i	$-0.767242\pi$
$577$	−1.83915	+	1.83915i	−0.0765649	+	0.0765649i	0.667787	+	0.744352i	$0.267242\pi$
$578$	−16.7957	+	2.62774i	−0.698608	+	0.109300i
$579$			0.615751i			0.0255897i
$580$	3.98001	−	6.49815i	0.165261	−	0.269821i
$581$	57.1288	−	38.1722i	2.37010	−	1.58365i
$582$	0.275762			0.0114307
$583$	−8.54996	+	5.71290i	−0.354103	+	0.236604i
$584$	−5.76334	+	8.62544i	−0.238489	+	0.356923i
$585$	−1.16108	−	29.3792i	−0.0480049	−	1.21468i
$586$	16.9254	+	7.01075i	0.699184	+	0.289611i
$587$	24.1548	−	10.0052i	0.996974	−	0.412960i	0.176287	−	0.984339i	$-0.443591\pi$
$587$	24.1548	−	10.0052i	0.996974	−	0.412960i	0.820686	+	0.571379i	$0.193591\pi$
$588$	−1.11283	−	0.743570i	−0.0458924	−	0.0306643i
$589$	14.1341	+	9.44410i	0.582385	+	0.389137i
$590$	−1.05384	+	2.85859i	−0.0433861	+	0.117686i
$591$	−0.204782	−	0.204782i	−0.00842361	−	0.00842361i
$592$	−0.622292	+	3.12847i	−0.0255760	+	0.128579i
$593$	5.28466	−	12.7583i	0.217015	−	0.523921i	−0.777455	−	0.628938i	$-0.783490\pi$
$593$	5.28466	−	12.7583i	0.217015	−	0.523921i	0.994470	+	0.105018i	$0.0334899\pi$
$594$	−1.30834			−0.0536817
$595$	−33.6534	−	26.5691i	−1.37966	−	1.08923i
$596$	2.04041			0.0835784
$597$	−0.348944	+	0.842426i	−0.0142813	+	0.0344782i
$598$	−0.000955876		0.00480552i	−3.90887e−5		0.000196512i
$599$	21.7960	+	21.7960i	0.890561	+	0.890561i	0.994576	−	0.104015i	$-0.0331689\pi$
$599$	21.7960	+	21.7960i	0.890561	+	0.890561i	−0.104015	+	0.994576i	$0.533169\pi$
$600$	−0.399219	−	0.223332i	−0.0162980	−	0.00911749i
$601$	−12.1980	−	8.15047i	−0.497569	−	0.332465i	0.281334	−	0.959610i	$-0.409223\pi$
$601$	−12.1980	−	8.15047i	−0.497569	−	0.332465i	−0.778902	+	0.627145i	$0.784223\pi$
$602$	−6.33854	−	4.23528i	−0.258340	−	0.172617i
$603$	−16.9983	+	7.04093i	−0.692225	+	0.286729i
$604$	11.6867	+	4.84079i	0.475525	+	0.196969i
$605$	8.04770	−	8.70997i	0.327186	−	0.354111i
$606$	−0.322667	+	0.482906i	−0.0131075	+	0.0196167i
$607$	−31.7264	+	21.1989i	−1.28774	+	0.860438i	−0.995393	−	0.0958753i	$-0.969435\pi$
$607$	−31.7264	+	21.1989i	−1.28774	+	0.860438i	−0.292343	+	0.956313i	$0.594435\pi$
$608$	4.27708			0.173459
$609$	1.20561	−	0.805566i	0.0488540	−	0.0326432i
$610$	−5.84778	−	24.3331i	−0.236770	−	0.985217i
$611$		−	56.2263i		−	2.27467i
$612$	12.2479	+	1.46134i	0.495093	+	0.0590712i
$613$	17.5857	−	17.5857i	0.710279	−	0.710279i	−0.256314	−	0.966594i	$-0.582508\pi$
$613$	17.5857	−	17.5857i	0.710279	−	0.710279i	0.966594	+	0.256314i	$0.0825081\pi$
$614$	23.3422	−	9.66865i	0.942014	−	0.390195i
$615$	−1.59562	+	0.736035i	−0.0643415	+	0.0296798i
$616$	7.84897	−	7.84897i	0.316244	−	0.316244i
$617$	13.1592	+	19.6941i	0.529770	+	0.792856i	0.995765	−	0.0919305i	$-0.0293038\pi$
$617$	13.1592	+	19.6941i	0.529770	+	0.792856i	−0.465996	+	0.884787i	$0.654304\pi$
$618$	−0.751677	+	0.149518i	−0.0302369	+	0.00601449i
$619$	−0.907495	−	4.56229i	−0.0364753	−	0.183374i	0.958253	−	0.285923i	$-0.0923001\pi$
$619$	−0.907495	−	4.56229i	−0.0364753	−	0.183374i	−0.994728	+	0.102549i	$0.967300\pi$
$620$	−8.64105	+	2.07664i	−0.347033	+	0.0833997i
$621$	−0.000233846	0	0.000564555i	−9.38393e−6	0	2.26548e-5i
$622$	0.518556	−	0.776074i	0.0207922	−	0.0311177i
$623$	13.3322	+	67.0256i	0.534145	+	2.68533i
$624$	0.394390	+	0.0784490i	0.0157882	+	0.00314047i
$625$	−3.93359	−	24.6886i	−0.157344	−	0.987544i
$626$	2.47912	+	3.71027i	0.0990856	+	0.148292i
$627$	−0.862854	−	0.357406i	−0.0344591	−	0.0142734i
$628$	−13.6826	−	13.6826i	−0.545994	−	0.545994i
$629$	−8.55078	+	9.99260i	−0.340942	+	0.398431i
$630$	18.2923	+	25.1650i	0.728782	+	1.00260i
$631$	−6.32273	−	15.2644i	−0.251704	−	0.607667i	0.746638	−	0.665231i	$-0.231667\pi$
$631$	−6.32273	−	15.2644i	−0.251704	−	0.607667i	−0.998342	+	0.0575635i	$0.981667\pi$
$632$	8.88636	+	1.76761i	0.353481	+	0.0703117i
$633$			2.19864i			0.0873879i
$634$	−1.91543	+	9.62952i	−0.0760714	+	0.382437i
$635$	21.0182	−	22.7479i	0.834082	−	0.902722i
$636$	0.386588	−	0.0768972i	0.0153292	−	0.00304917i
$637$	24.6061	+	59.4043i	0.974929	+	2.35369i
$638$	3.11262	+	7.51452i	0.123230	+	0.297503i
$639$	−21.9395	+	4.36403i	−0.867912	+	0.172638i
$640$	−1.51747	+	1.64234i	−0.0599831	+	0.0649194i
$641$	0.445521	−	2.23979i	0.0175970	−	0.0884663i	−0.970989	−	0.239125i	$-0.923139\pi$
$641$	0.445521	−	2.23979i	0.0175970	−	0.0884663i	0.988586	+	0.150659i	$0.0481394\pi$
$642$		−	0.471279i		−	0.0185999i
$643$	−44.2171	−	8.79533i	−1.74375	−	0.346854i	−0.782527	−	0.622617i	$-0.786070\pi$
$643$	−44.2171	−	8.79533i	−1.74375	−	0.346854i	−0.961226	+	0.275763i	$0.911070\pi$
$644$	−0.00198399	−	0.00478977i	−7.81800e−5	−	0.000188743i
$645$	−0.197165	−	0.271244i	−0.00776338	−	0.0106802i
$646$	15.3782	+	8.63126i	0.605048	+	0.339592i
$647$	18.4889	+	18.4889i	0.726873	+	0.726873i	0.969996	−	0.243123i	$-0.0781718\pi$
$647$	18.4889	+	18.4889i	0.726873	+	0.726873i	−0.243123	+	0.969996i	$0.578172\pi$
$648$	−8.24538	−	3.41535i	−0.323909	−	0.134168i
$649$	−1.80670	−	2.70392i	−0.0709193	−	0.106138i
$650$	9.98607	+	19.5765i	0.391686	+	0.767853i
$651$	−1.65857	−	0.329909i	−0.0650043	−	0.0129302i
$652$	−2.03167	−	10.2139i	−0.0795663	−	0.400007i
$653$	−9.38162	+	14.0406i	−0.367131	+	0.549451i	−0.968338	−	0.249643i	$-0.919687\pi$
$653$	−9.38162	+	14.0406i	−0.367131	+	0.549451i	0.601207	+	0.799094i	$0.294687\pi$
$654$	0.189594	−	0.457720i	0.00741370	−	0.0178983i
$655$	1.07829	−	0.259137i	0.0421322	−	0.0101253i
$656$	1.67574	+	8.42449i	0.0654265	+	0.328921i
$657$	30.4380	−	6.05450i	1.18750	−	0.236209i
$658$	33.0531	+	49.4674i	1.28854	+	1.92844i
$659$	−16.9327	+	16.9327i	−0.659606	+	0.659606i	−0.955287	−	0.295681i	$-0.904453\pi$
$659$	−16.9327	+	16.9327i	−0.659606	+	0.659606i	0.295681	+	0.955287i	$0.404453\pi$
$660$	0.443371	−	0.204521i	0.0172582	−	0.00796096i
$661$	−1.34760	+	0.558195i	−0.0524156	+	0.0217113i	−0.408737	−	0.912652i	$-0.634031\pi$
$661$	−1.34760	+	0.558195i	−0.0524156	+	0.0217113i	0.356322	+	0.934363i	$0.384031\pi$
$662$	10.5600	−	10.5600i	0.410425	−	0.410425i
$663$	1.25971	+	1.07795i	0.0489232	+	0.0418641i
$664$		−	14.7737i		−	0.573331i
$665$	10.3933	+	43.2473i	0.403034	+	1.67706i
$666$	7.93437	−	5.30158i	0.307451	−	0.205432i
$667$	0.00379890			0.000147094
$668$	17.1820	−	11.4806i	0.664791	−	0.444199i
$669$	0.814052	−	1.21832i	0.0314731	−	0.0471028i
$670$	9.33258	−	10.1006i	0.360549	−	0.390220i
$671$	24.6791	+	10.2224i	0.952724	+	0.394631i
$672$	−0.393097	+	0.162826i	−0.0151641	+	0.00628116i
$673$	−35.1146	−	23.4628i	−1.35357	−	0.904425i	−0.354042	−	0.935230i	$-0.615193\pi$
$673$	−35.1146	−	23.4628i	−1.35357	−	0.904425i	−0.999525	+	0.0308048i	$0.990193\pi$
$674$	−3.55533	−	2.37559i	−0.136946	−	0.0915045i
$675$	0.745184	+	2.63757i	0.0286821	+	0.101520i
$676$	−4.46780	−	4.46780i	−0.171838	−	0.171838i
$677$	−0.750669	+	3.77387i	−0.0288506	+	0.145042i	−0.992526	−	0.122036i	$-0.961058\pi$
$677$	−0.750669	+	3.77387i	−0.0288506	+	0.145042i	0.963675	+	0.267077i	$0.0860578\pi$
$678$	−0.0294617	+	0.0711267i	−0.00113147	+	0.00273161i
$679$	14.0180			0.537963
$680$	−8.77033	+	2.84275i	−0.336327	+	0.109015i
$681$	0.587519			0.0225138
$682$	3.63013	−	8.76391i	0.139005	−	0.335587i
$683$	0.811821	−	4.08130i	0.0310635	−	0.156167i	−0.962140	−	0.272554i	$-0.912132\pi$
$683$	0.811821	−	4.08130i	0.0310635	−	0.156167i	0.993204	+	0.116388i	$0.0371315\pi$
$684$	−9.04775	−	9.04775i	−0.345949	−	0.345949i
$685$	−12.2220	+	33.1525i	−0.466977	+	1.26669i
$686$	−29.5011	−	19.7120i	−1.12636	−	0.752607i
$687$	−0.151539	−	0.101255i	−0.00578158	−	0.00386313i
$688$	−1.51440	+	0.627283i	−0.0577358	+	0.0239149i
$689$	−17.4949	−	7.24661i	−0.666501	−	0.276074i
$690$	−9.00566e−6	0	0.000227872i	−3.42840e−7	0	8.67496e-6i
$691$	8.39097	−	12.5580i	0.319208	−	0.477728i	−0.636817	−	0.771015i	$-0.719749\pi$
$691$	8.39097	−	12.5580i	0.319208	−	0.477728i	0.956024	+	0.293287i	$0.0947492\pi$
$692$	18.4195	−	12.3075i	0.700206	−	0.467863i
$693$	−33.2075			−1.26145
$694$	23.7059	−	15.8398i	0.899864	−	0.601270i
$695$	8.32347	−	13.5897i	0.315727	−	0.515486i
$696$		−	0.311776i		−	0.0118178i
$697$	−10.9757	+	33.6719i	−0.415736	+	1.27541i
$698$	−18.4362	+	18.4362i	−0.697820	+	0.697820i
$699$	−1.35598	+	0.561667i	−0.0512880	+	0.0212442i
$700$	−20.2938	−	11.3528i	−0.767035	−	0.429097i
$701$	−19.7766	+	19.7766i	−0.746954	+	0.746954i	−0.973906	−	0.226952i	$-0.927124\pi$
$701$	−19.7766	+	19.7766i	−0.746954	+	0.746954i	0.226952	+	0.973906i	$0.427124\pi$
$702$	−1.33855	−	2.00329i	−0.0505204	−	0.0756091i
$703$	13.3807	−	2.66159i	0.504664	−	0.100384i
$704$	−0.465634	−	2.34090i	−0.0175492	−	0.0882259i
$705$	0.611513	+	2.54456i	0.0230309	+	0.0958335i
$706$	−1.28422	+	3.10039i	−0.0483323	+	0.116685i
$707$	−16.4024	+	24.5480i	−0.616877	+	0.923222i
$708$	0.0243187	+	0.122258i	0.000913953	+	0.00459475i
$709$	38.6340	+	7.68479i	1.45093	+	0.288608i	0.856754	−	0.515726i	$-0.172478\pi$
$709$	38.6340	+	7.68479i	1.45093	+	0.288608i	0.594178	+	0.804334i	$0.297478\pi$
$710$	13.5243	−	9.83073i	0.507557	−	0.368941i
$711$	−15.0590	−	22.5374i	−0.564758	−	0.845220i
$712$	13.5757	+	5.62325i	0.508772	+	0.210740i
$713$	−0.00313285	−	0.00313285i	−0.000117326	−	0.000117326i
$714$	−1.74197	−	0.207840i	−0.0651914	−	0.00777820i
$715$	−23.1694	−	3.66421i	−0.866487	−	0.137034i
$716$	−1.28675	−	3.10649i	−0.0480881	−	0.116095i
$717$	0.266100	+	0.0529305i	0.00993767	+	0.00197673i
$718$			25.6640i			0.957771i
$719$	0.758991	−	3.81571i	0.0283056	−	0.142302i	−0.964048	−	0.265727i	$-0.914388\pi$
$719$	0.758991	−	3.81571i	0.0283056	−	0.142302i	0.992354	+	0.123425i	$0.0393879\pi$
$720$	6.68427	−	0.264167i	0.249108	−	0.00984491i
$721$	−38.2107	+	7.60058i	−1.42304	+	0.283060i
$722$	0.270392	+	0.652783i	0.0100629	+	0.0242941i
$723$	−0.596150	−	1.43923i	−0.0221711	−	0.0535257i
$724$	−4.69466	+	0.933827i	−0.174476	+	0.0347054i
$725$	13.3763	−	10.5550i	0.496782	−	0.392002i
$726$	0.0946573	−	0.475874i	0.00351306	−	0.0176614i
$727$			1.15432i			0.0428115i	0.999771	+	0.0214058i	$0.00681418\pi$
$727$			1.15432i			0.0428115i	−0.999771	+	0.0214058i	$0.993186\pi$
$728$	20.0484	+	3.98787i	0.743042	+	0.147800i
$729$	10.1599	+	24.5281i	0.376292	+	0.908450i
$730$	−18.7631	+	13.6388i	−0.694454	+	0.504795i
$731$	−6.71087	−	0.800696i	−0.248211	−	0.0296148i
$732$	−0.724028	−	0.724028i	−0.0267608	−	0.0267608i
$733$	−4.60219	−	1.90629i	−0.169986	−	0.0704104i	0.296068	−	0.955167i	$-0.404325\pi$
$733$	−4.60219	−	1.90629i	−0.169986	−	0.0704104i	−0.466053	+	0.884757i	$0.654325\pi$
$734$	1.67143	+	2.50147i	0.0616936	+	0.0923309i
$735$	−1.75964	−	2.42077i	−0.0649053	−	0.0892913i
$736$	−0.00109334		0.000217478i	−4.03009e−5		8.01636e-6i
$737$	2.86370	+	14.3968i	0.105486	+	0.530312i
$738$	14.2763	−	21.3660i	0.525519	−	0.786495i
$739$	13.5970	−	32.8260i	0.500172	−	1.20752i	−0.449218	−	0.893422i	$-0.648297\pi$
$739$	13.5970	−	32.8260i	0.500172	−	1.20752i	0.949390	−	0.314100i	$-0.101703\pi$
$740$	−3.72533	+	6.08233i	−0.136946	+	0.223591i
$741$	−0.335533	−	1.68684i	−0.0123261	−	0.0619675i
$742$	19.6518	−	3.90898i	0.721440	−	0.143503i
$743$	−23.2236	−	34.7566i	−0.851993	−	1.27510i	−0.959732	−	0.280918i	$-0.909361\pi$
$743$	−23.2236	−	34.7566i	−0.851993	−	1.27510i	0.107739	−	0.994179i	$-0.465639\pi$
$744$	−0.257113	+	0.257113i	−0.00942623	+	0.00942623i
$745$	4.28085	+	1.57817i	0.156838	+	0.0578197i
$746$	−31.0994	+	12.8818i	−1.13863	+	0.471636i
$747$	−31.2523	+	31.2523i	−1.14346	+	1.14346i
$748$	3.04981	−	9.35635i	0.111512	−	0.342102i
$749$		−	23.9569i		−	0.875367i
$750$	−0.664838	−	0.777338i	−0.0242765	−	0.0283844i
$751$	−38.4550	+	25.6948i	−1.40324	+	0.937617i	−0.403500	+	0.914980i	$0.632206\pi$
$751$	−38.4550	+	25.6948i	−1.40324	+	0.937617i	−0.999744	+	0.0226377i	$0.992794\pi$
$752$	12.7925			0.466493
$753$	−0.998185	+	0.666966i	−0.0363759	+	0.0243056i
$754$	−8.32151	+	12.4540i	−0.303052	+	0.453549i
$755$	20.7750	+	19.1953i	0.756079	+	0.698589i
$756$	2.35529	+	0.975594i	0.0856612	+	0.0354820i
$757$	12.7250	−	5.27088i	0.462499	−	0.191573i	−0.139252	−	0.990257i	$-0.544470\pi$
$757$	12.7250	−	5.27088i	0.462499	−	0.191573i	0.601751	+	0.798684i	$0.294470\pi$
$758$	9.91485	+	6.62489i	0.360124	+	0.240627i
$759$	0.000202395	0	0.000135236i	7.34649e−6	0	4.90877e-6i
$760$	8.97348	+	3.30815i	0.325502	+	0.119999i
$761$	1.70258	+	1.70258i	0.0617184	+	0.0617184i	0.737292	−	0.675574i	$-0.236104\pi$
$761$	1.70258	+	1.70258i	0.0617184	+	0.0617184i	−0.675574	+	0.737292i	$0.736104\pi$
$762$	0.247217	−	1.24284i	0.00895572	−	0.0450234i
$763$	9.63779	−	23.2677i	0.348911	−	0.842347i
$764$	−11.5292			−0.417113
$765$	24.5663	+	12.5392i	0.888198	+	0.453356i
$766$	13.8283			0.499638
$767$	2.29174	−	5.53274i	0.0827498	−	0.199776i
$768$	−0.0178485	+	0.0897304i	−0.000644052	+	0.00323787i
$769$	−24.6554	−	24.6554i	−0.889095	−	0.889095i	0.105341	−	0.994436i	$-0.466407\pi$
$769$	−24.6554	−	24.6554i	−0.889095	−	0.889095i	−0.994436	+	0.105341i	$0.966407\pi$
$770$	22.5383	−	10.3966i	0.812224	−	0.374667i
$771$	−0.205154	−	0.137080i	−0.00738845	−	0.00493680i
$772$	5.59610	+	3.73920i	0.201408	+	0.134577i
$773$	10.3933	−	4.30503i	0.373819	−	0.154841i	−0.187860	−	0.982196i	$-0.560155\pi$
$773$	10.3933	−	4.30503i	0.373819	−	0.154841i	0.561680	+	0.827355i	$0.310155\pi$
$774$	4.53051	+	1.87660i	0.162846	+	0.0674530i
$775$	−19.7354	−	2.32663i	−0.708918	−	0.0835751i
$776$	1.67458	−	2.50619i	0.0601141	−	0.0899671i
$777$	−1.12847	+	0.754018i	−0.0404836	+	0.0270503i
$778$	7.37841			0.264529
$779$	30.5467	−	20.4106i	1.09445	−	0.731287i
$780$	0.766767	+	0.469633i	0.0274547	+	0.0168156i
$781$			17.8465i			0.638598i
$782$	−0.00349221	−	0.00298832i	−0.000124881	−	0.000106862i
$783$	−1.32091	+	1.32091i	−0.0472055	+	0.0472055i
$784$	−13.5155	+	5.59831i	−0.482697	+	0.199940i
$785$	−18.1237	−	39.2895i	−0.646861	−	1.40230i
$786$	0.0320843	−	0.0320843i	0.00114441	−	0.00114441i
$787$	3.57659	+	5.35274i	0.127492	+	0.190805i	0.889724	−	0.456499i	$-0.150897\pi$
$787$	3.57659	+	5.35274i	0.127492	+	0.190805i	−0.762232	+	0.647303i	$0.775897\pi$
$788$	−3.10467	+	0.617557i	−0.110599	+	0.0219996i
$789$	−0.0235679	−	0.118484i	−0.000839039	−	0.00421813i
$790$	17.2768	+	10.5817i	0.614679	+	0.376481i
$791$	−1.49765	+	3.61565i	−0.0532503	+	0.128558i
$792$	−3.96694	+	5.93694i	−0.140959	+	0.210960i
$793$	9.59679	+	48.2463i	0.340792	+	1.71328i
$794$	−11.3831	−	2.26424i	−0.403971	−	0.0803548i
$795$	0.870554	+	0.137677i	0.0308754	+	0.00488289i
$796$	5.53720	+	8.28700i	0.196261	+	0.293725i
$797$	−7.10968	−	2.94493i	−0.251838	−	0.104315i	0.253194	−	0.967416i	$-0.418519\pi$
$797$	−7.10968	−	2.94493i	−0.251838	−	0.104315i	−0.505031	+	0.863101i	$0.668519\pi$
$798$	1.28682	+	1.28682i	0.0455529	+	0.0455529i
$799$	45.9952	+	25.8155i	1.62719	+	0.913286i
$800$	−4.45399	+	2.27200i	−0.157472	+	0.0803274i
$801$	−16.8227	−	40.6136i	−0.594401	−	1.43501i
$802$	−23.6149	−	4.69730i	−0.833873	−	0.165868i
$803$		−	24.7596i		−	0.873747i
$804$	0.109770	−	0.551851i	0.00387129	−	0.0194623i
$805$	−0.000457793	−	0.0115836i	−1.61351e−5	−	0.000408270i
$806$	17.1330	−	3.40797i	0.603485	−	0.120041i
$807$	−0.528530	−	1.27599i	−0.0186052	−	0.0449168i
$808$	2.42935	+	5.86497i	0.0854643	+	0.206329i
$809$	27.3906	−	5.44832i	0.963001	−	0.191553i	0.311538	−	0.950234i	$-0.399156\pi$
$809$	27.3906	−	5.44832i	0.963001	−	0.191553i	0.651462	+	0.758681i	$0.274156\pi$
$810$	−14.6575	−	13.5430i	−0.515012	−	0.475852i
$811$	−6.09228	+	30.6280i	−0.213929	+	1.07549i	0.713260	+	0.700900i	$0.247218\pi$
$811$	−6.09228	+	30.6280i	−0.213929	+	1.07549i	−0.927189	+	0.374594i	$0.877782\pi$
$812$		−	15.8488i		−	0.556184i
$813$	−2.34910	−	0.467265i	−0.0823865	−	0.0163877i
$814$	−2.91344	−	7.03367i	−0.102116	−	0.246530i
$815$	3.63750	−	23.0005i	0.127416	−	0.805674i
$816$	−0.245252	+	0.286606i	−0.00858555	+	0.0100332i
$817$	4.95743	+	4.95743i	0.173439	+	0.173439i
$818$	19.4227	+	8.04515i	0.679099	+	0.281292i
$819$	−33.9744	−	50.8463i	−1.18716	−	1.77671i
$820$	−3.00024	+	18.9710i	−0.104773	+	0.662497i
$821$	−8.76518	−	1.74350i	−0.305907	−	0.0608487i	0.0397499	−	0.999210i	$-0.487344\pi$
$821$	−8.76518	−	1.74350i	−0.305907	−	0.0608487i	−0.345657	+	0.938361i	$0.612344\pi$
$822$	0.282036	+	1.41789i	0.00983714	+	0.0494547i
$823$	6.26223	−	9.37208i	0.218287	−	0.326690i	−0.706123	−	0.708089i	$-0.749558\pi$
$823$	6.26223	−	9.37208i	0.218287	−	0.326690i	0.924411	+	0.381399i	$0.124558\pi$
$824$	−3.20576	+	7.73940i	−0.111678	+	0.269615i
$825$	1.08840	−	0.0861629i	0.0378931	−	0.00299981i
$826$	1.23622	+	6.21487i	0.0430134	+	0.216243i
$827$	−5.19687	+	1.03372i	−0.180713	+	0.0359460i	−0.284617	−	0.958641i	$-0.591866\pi$
$827$	−5.19687	+	1.03372i	−0.180713	+	0.0359460i	0.103904	+	0.994587i	$0.466866\pi$
$828$	0.00185279	+	0.00277290i	6.43890e−5	+	9.63650e-5i
$829$	−9.28860	+	9.28860i	−0.322607	+	0.322607i	−0.849766	−	0.527160i	$-0.823257\pi$
$829$	−9.28860	+	9.28860i	−0.322607	+	0.322607i	0.527160	+	0.849766i	$0.323257\pi$
$830$	11.4268	−	30.9958i	0.396632	−	1.07588i
$831$	−0.986886	+	0.408782i	−0.0342347	+	0.0141805i
$832$	3.10793	−	3.10793i	0.107748	−	0.107748i
$833$	−59.8924	−	7.14596i	−2.07515	−	0.247593i
$834$		−	0.652023i		−	0.0225777i
$835$	44.9282	−	10.7972i	1.55481	−	0.373654i
$836$	−8.48795	+	5.67146i	−0.293562	+	0.196152i
$837$	2.17864			0.0753047
$838$	−19.3190	+	12.9085i	−0.667364	+	0.445918i
$839$	−4.04804	+	6.05832i	−0.139754	+	0.209156i	−0.894744	−	0.446580i	$-0.852642\pi$
$839$	−4.04804	+	6.05832i	−0.139754	+	0.209156i	0.754990	+	0.655737i	$0.227642\pi$
$840$	−0.950672	+	0.0375712i	−0.0328013	+	0.00129633i
$841$	−16.0632	−	6.65361i	−0.553905	−	0.229435i
$842$	−18.6517	+	7.72580i	−0.642781	+	0.266249i
$843$	0.664219	+	0.443817i	0.0228769	+	0.0152859i
$844$	19.9818	+	13.3514i	0.687801	+	0.459574i
$845$	−5.91796	−	12.8293i	−0.203584	−	0.441340i
$846$	−27.0612	−	27.0612i	−0.930382	−	0.930382i
$847$	4.81180	−	24.1905i	0.165335	−	0.831197i
$848$	1.64873	−	3.98038i	0.0566175	−	0.136687i
$849$	−1.79052			−0.0614505
$850$	−20.5992	−	0.819287i	−0.706548	−	0.0281013i
$851$	−0.00355581			−0.000121892
$852$	0.261788	−	0.632012i	0.00896871	−	0.0216524i
$853$	−10.2223	+	51.3912i	−0.350006	+	1.75960i	0.258461	+	0.966022i	$0.416784\pi$
$853$	−10.2223	+	51.3912i	−0.350006	+	1.75960i	−0.608468	+	0.793579i	$0.708216\pi$
$854$	−36.8051	−	36.8051i	−1.25945	−	1.25945i
$855$	−11.9845	−	25.9806i	−0.409860	−	0.888517i
$856$	−4.28310	−	2.86188i	−0.146393	−	0.0978170i
$857$	−19.2222	−	12.8439i	−0.656619	−	0.438739i	0.182117	−	0.983277i	$-0.441705\pi$
$857$	−19.2222	−	12.8439i	−0.656619	−	0.438739i	−0.838736	+	0.544538i	$0.816705\pi$
$858$	−0.886698	+	0.367282i	−0.0302714	+	0.0125388i
$859$	−44.7647	−	18.5422i	−1.52735	−	0.632650i	−0.548304	−	0.836279i	$-0.684726\pi$
$859$	−44.7647	−	18.5422i	−1.52735	−	0.632650i	−0.979048	+	0.203629i	$0.934726\pi$
$860$	−3.66244	+	0.144742i	−0.124888	+	0.00493565i
$861$	−2.03046	+	3.03879i	−0.0691977	+	0.103562i
$862$	6.31528	−	4.21973i	0.215099	−	0.143725i
$863$	−6.05497			−0.206114			−0.103057	−	0.994675i	$-0.532862\pi$
$863$	−6.05497			−0.206114			−0.103057	+	0.994675i	$0.532862\pi$
$864$	0.455782	−	0.304544i	0.0155060	−	0.0103608i
$865$	48.1643	−	11.5749i	1.63763	−	0.393560i
$866$		−	23.7450i		−	0.806889i
$867$	−1.46018	+	0.535566i	−0.0495904	+	0.0181888i
$868$	−13.0701	+	13.0701i	−0.443627	+	0.443627i
$869$	−19.9790	+	8.27558i	−0.677742	+	0.280730i
$870$	0.241146	−	0.654118i	0.00817561	−	0.0221767i
$871$	−19.1141	+	19.1141i	−0.647656	+	0.647656i
$872$	−3.00855	−	4.50262i	−0.101882	−	0.152478i
$873$	−8.84402	+	1.75919i	−0.299325	+	0.0595394i
$874$	0.000930172		0.00467629i	3.14636e−5		0.000158178i
$875$	−33.7963	−	39.5151i	−1.14252	−	1.33585i
$876$	−0.363195	+	0.876831i	−0.0122712	+	0.0296254i
$877$	13.3565	−	19.9895i	0.451018	−	0.674997i	−0.534383	−	0.845242i	$-0.679456\pi$
$877$	13.3565	−	19.9895i	0.451018	−	0.674997i	0.985402	+	0.170246i	$0.0544561\pi$
$878$	−7.90524	−	39.7424i	−0.266789	−	1.34124i
$879$	1.64386	+	0.326984i	0.0554460	+	0.0110289i
$880$	0.833671	−	5.27144i	0.0281030	−	0.177700i
$881$	29.3041	+	43.8567i	0.987280	+	1.47757i	0.875136	+	0.483877i	$0.160772\pi$
$881$	29.3041	+	43.8567i	0.987280	+	1.47757i	0.112144	+	0.993692i	$0.464228\pi$
$882$	40.4334	+	16.7481i	1.36146	+	0.563937i
$883$	17.6075	+	17.6075i	0.592539	+	0.592539i	0.938317	−	0.345777i	$-0.112385\pi$
$883$	17.6075	+	17.6075i	0.592539	+	0.592539i	−0.345777	+	0.938317i	$0.612385\pi$
$884$	17.4464	−	4.90266i	0.586786	−	0.164894i
$885$	−0.0435402	+	0.275312i	−0.00146359	+	0.00925452i
$886$	−1.05531	−	2.54775i	−0.0354540	−	0.0855934i
$887$	10.5469	+	2.09791i	0.354130	+	0.0704409i	0.368950	−	0.929449i	$-0.379717\pi$
$887$	10.5469	+	2.09791i	0.354130	+	0.0704409i	−0.0148197	+	0.999890i	$0.504717\pi$
$888$			0.291826i			0.00979304i
$889$	12.5670	−	63.1785i	0.421483	−	2.11894i
$890$	24.1331	+	22.2981i	0.808942	+	0.747433i
$891$	20.8919	−	4.15566i	0.699905	−	0.139220i
$892$	−6.12897	−	14.7966i	−0.205213	−	0.495428i
$893$	−20.9383	−	50.5495i	−0.700673	−	1.69157i
$894$	0.183087	−	0.0364182i	0.00612333	−	0.00121801i
$895$	−0.296910	−	7.51278i	−0.00992460	−	0.251125i
$896$	−0.907308	+	4.56135i	−0.0303110	+	0.152384i
$897$		0	0.000448262i		0	1.49670e-5i
$898$	−6.41191	−	1.27541i	−0.213968	−	0.0425609i
$899$	−5.18312	−	12.5132i	−0.172867	−	0.417337i
$900$	14.2282	+	4.61577i	0.474272	+	0.153859i
$901$	13.9605	−	10.9843i	0.465092	−	0.365939i
$902$	−14.4965	−	14.4965i	−0.482681	−	0.482681i
$903$	−0.644353	−	0.266900i	−0.0214427	−	0.00888187i
$904$	0.467510	+	0.699678i	0.0155491	+	0.0232709i
$905$	−10.5719	−	1.67192i	−0.351420	−	0.0555766i
$906$	1.13505	+	0.225776i	0.0377096	+	0.00750090i
$907$	7.88879	+	39.6596i	0.261943	+	1.31688i	0.857882	+	0.513846i	$0.171780\pi$
$907$	7.88879	+	39.6596i	0.261943	+	1.31688i	−0.595939	+	0.803029i	$0.703220\pi$
$908$	3.56776	−	5.33952i	0.118400	−	0.177198i
$909$	7.26772	−	17.5458i	0.241055	−	0.581958i
$910$	38.9778	+	23.8733i	1.29210	+	0.791391i
$911$	−3.52912	−	17.7421i	−0.116925	−	0.587822i	−0.994174	−	0.107786i	$-0.965624\pi$
$911$	−3.52912	−	17.7421i	−0.116925	−	0.587822i	0.877249	−	0.480035i	$-0.159376\pi$
$912$	0.383784	−	0.0763394i	0.0127084	−	0.00252785i
$913$	19.5901	+	29.3187i	0.648338	+	0.970307i
$914$	−11.8027	+	11.8027i	−0.390399	+	0.390399i
$915$	−0.959032	−	2.07904i	−0.0317046	−	0.0687310i
$916$	−1.84047	+	0.762347i	−0.0608108	+	0.0251887i
$917$	1.63097	−	1.63097i	0.0538594	−	0.0538594i
$918$	2.25334	−	0.175206i	0.0743712	−	0.00578264i
$919$			45.0589i			1.48636i	0.669093	+	0.743178i	$0.266683\pi$
$919$			45.0589i			1.48636i	−0.669093	+	0.743178i	$0.733317\pi$
$920$	−0.00212565	−	0.00130193i	−7.00807e−5	−	4.29233e-5i
$921$	1.92193	−	1.28419i	0.0633298	−	0.0423156i
$922$	15.8220			0.521069
$923$	−27.3260	+	18.2587i	−0.899447	+	0.600992i
$924$	0.564199	−	0.844383i	0.0185608	−	0.0277782i
$925$	−12.5203	+	9.87957i	−0.411666	+	0.324838i
$926$	5.45092	+	2.25784i	0.179128	+	0.0741973i
$927$	23.1534	−	9.59046i	0.760458	−	0.314992i
$928$	−2.83350	−	1.89329i	−0.0930143	−	0.0621502i
$929$	22.1645	+	14.8099i	0.727195	+	0.485896i	0.863232	−	0.504808i	$-0.168437\pi$
$929$	22.1645	+	14.8099i	0.727195	+	0.485896i	−0.136037	+	0.990704i	$0.543437\pi$
$930$	−0.738300	+	0.340567i	−0.0242098	+	0.0111676i
$931$	44.2435	+	44.2435i	1.45002	+	1.45002i
$932$	−3.12975	+	15.7343i	−0.102518	+	0.515394i
$933$	0.0326785	−	0.0788929i	0.00106985	−	0.00258284i
$934$	−17.8196			−0.583076
$935$	13.6354	−	17.2711i	0.445924	−	0.564824i
$936$	−13.1490			−0.429789
$937$	−17.3394	+	41.8610i	−0.566453	+	1.36754i	0.338073	+	0.941120i	$0.390225\pi$
$937$	−17.3394	+	41.8610i	−0.566453	+	1.36754i	−0.904526	+	0.426418i	$0.859775\pi$
$938$	5.58004	−	28.0528i	0.182195	−	0.915955i
$939$	0.288675	+	0.288675i	0.00942056	+	0.00942056i
$940$	26.8390	+	9.89443i	0.875393	+	0.322721i
$941$	24.5859	+	16.4278i	0.801477	+	0.535530i	0.887524	−	0.460761i	$-0.152424\pi$
$941$	24.5859	+	16.4278i	0.801477	+	0.535530i	−0.0860471	+	0.996291i	$0.527424\pi$
$942$	−1.47196	−	0.983530i	−0.0479589	−	0.0320451i
$943$	−0.00884637	+	0.00366429i	−0.000288078	+	0.000119326i
$944$	1.25879	+	0.521410i	0.0409703	+	0.0169704i
$945$	4.18691	+	3.86856i	0.136200	+	0.125844i
$946$	2.17356	−	3.25296i	0.0706685	−	0.105763i
$947$	40.2587	−	26.9000i	1.30823	−	0.874133i	0.311142	−	0.950363i	$-0.399288\pi$
$947$	40.2587	−	26.9000i	1.30823	−	0.874133i	0.997090	+	0.0762302i	$0.0242884\pi$
$948$	0.828926			0.0269223
$949$	37.9112	−	25.3314i	1.23065	−	0.822293i
$950$	16.2680	+	13.8812i	0.527803	+	0.450366i
$951$			0.898248i			0.0291277i
$952$	−12.4671	+	14.5693i	−0.404062	+	0.472194i
$953$	25.3468	−	25.3468i	0.821063	−	0.821063i	−0.165197	−	0.986261i	$-0.552826\pi$
$953$	25.3468	−	25.3468i	0.821063	−	0.821063i	0.986261	+	0.165197i	$0.0528261\pi$
$954$	−11.9078	+	4.93238i	−0.385530	+	0.159692i
$955$	−24.1888	−	8.91738i	−0.782730	−	0.288560i
$956$	2.09696	−	2.09696i	0.0678205	−	0.0678205i
$957$	0.413419	+	0.618726i	0.0133639	+	0.0200006i
$958$	−33.7560	+	6.71449i	−1.09061	+	0.216935i
$959$	14.3370	+	72.0770i	0.462966	+	2.32749i
$960$	−0.106850	+	0.174453i	−0.00344855	+	0.00563044i
$961$	5.81831	−	14.0466i	0.187687	−	0.453117i
$962$	7.78902	−	11.6571i	0.251128	−	0.375840i
$963$	3.00646	+	15.1145i	0.0968819	+	0.487058i
$964$	−16.7003	−	3.32190i	−0.537881	−	0.106991i
$965$	8.84872	+	12.1733i	0.284850	+	0.391873i
$966$	−0.000263514	0	0.000394377i	−8.47843e−6	0	1.26889e-5i
$967$	18.7289	+	7.75775i	0.602280	+	0.249472i	0.662924	−	0.748687i	$-0.269315\pi$
$967$	18.7289	+	7.75775i	0.602280	+	0.249472i	−0.0606440	+	0.998159i	$0.519315\pi$
$968$	−3.75006	−	3.75006i	−0.120531	−	0.120531i
$969$	1.53395	+	0.500008i	0.0492775	+	0.0160626i
$970$	5.45178	−	3.96286i	0.175046	−	0.127240i
$971$	−4.77466	−	11.5271i	−0.153226	−	0.369921i	0.828563	−	0.559896i	$-0.189159\pi$
$971$	−4.77466	−	11.5271i	−0.153226	−	0.369921i	−0.981789	+	0.189976i	$0.939159\pi$
$972$	−2.41371	−	0.480118i	−0.0774199	−	0.0153998i
$973$		−	33.1449i		−	1.06258i
$974$	−4.48952	+	22.5703i	−0.143853	+	0.723200i
$975$	1.24546	+	1.57837i	0.0398868	+	0.0505483i
$976$	−10.9769	+	2.18343i	−0.351361	+	0.0698900i
$977$	3.34166	+	8.06747i	0.106909	+	0.258101i	0.968277	−	0.249881i	$-0.0803915\pi$
$977$	3.34166	+	8.06747i	0.106909	+	0.258101i	−0.861367	+	0.507982i	$0.830392\pi$
$978$	−0.364605	−	0.880234i	−0.0116588	−	0.0281468i
$979$	−34.3978	+	6.84215i	−1.09936	+	0.218676i
$980$	−32.6861	+	1.29178i	−1.04412	+	0.0412642i
$981$	−3.16055	+	15.8891i	−0.100909	+	0.507301i
$982$			1.60714i			0.0512858i
$983$	−3.48592	−	0.693393i	−0.111184	−	0.0221158i	0.139185	−	0.990266i	$-0.455552\pi$
$983$	−3.48592	−	0.693393i	−0.111184	−	0.0221158i	−0.250369	+	0.968151i	$0.580552\pi$
$984$	0.300729	+	0.726024i	0.00958689	+	0.0231448i
$985$	−6.99137	−	1.10567i	−0.222763	−	0.0352297i
$986$	−6.36714	−	12.5254i	−0.202771	−	0.398889i
$987$	3.84878	+	3.84878i	0.122508	+	0.122508i
$988$	−17.3680	−	7.19404i	−0.552548	−	0.228873i
$989$	−0.00101518	−	0.00151932i	−3.22808e−5	−	4.83117e-5i
$990$	−12.9148	+	9.38767i	−0.410458	+	0.298360i
$991$	−29.2043	−	5.80909i	−0.927704	−	0.184532i	−0.291959	−	0.956431i	$-0.594307\pi$
$991$	−29.2043	−	5.80909i	−0.927704	−	0.184532i	−0.635745	+	0.771899i	$0.719307\pi$
$992$	0.775371	+	3.89805i	0.0246181	+	0.123763i
$993$	0.759070	−	1.13603i	0.0240884	−	0.0360508i
$994$	13.3077	−	32.1276i	0.422095	−	1.01903i
$995$	5.20760	+	21.6692i	0.165092	+	0.686961i
$996$	−0.263688	−	1.32565i	−0.00835528	−	0.0420049i
$997$	20.4949	−	4.07670i	0.649082	−	0.129110i	0.140441	−	0.990089i	$-0.455148\pi$
$997$	20.4949	−	4.07670i	0.649082	−	0.129110i	0.508641	+	0.860979i	$0.330148\pi$
$998$	−12.0371	−	18.0147i	−0.381027	−	0.570247i
$999$	1.23639	−	1.23639i	0.0391175	−	0.0391175i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	170.2.r.b.97.3	yes	40
5.2	odd	4		850.2.s.d.743.3		40
5.3	odd	4		170.2.o.b.63.3	yes	40
5.4	even	2		850.2.v.d.607.3		40
17.10	odd	16		170.2.o.b.27.3	✓	40
85.27	even	16		850.2.v.d.843.3		40
85.44	odd	16		850.2.s.d.707.3		40
85.78	even	16	inner	170.2.r.b.163.3	yes	40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
170.2.o.b.27.3	✓	40	17.10	odd	16
170.2.o.b.63.3	yes	40	5.3	odd	4
170.2.r.b.97.3	yes	40	1.1	even	1	trivial
170.2.r.b.163.3	yes	40	85.78	even	16	inner
850.2.s.d.707.3		40	85.44	odd	16
850.2.s.d.743.3		40	5.2	odd	4
850.2.v.d.607.3		40	5.4	even	2
850.2.v.d.843.3		40	85.27	even	16

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 170 = 2 \cdot 5 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	170.r (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.382683 - 0.923880i) q^{2} +(0.0178485 - 0.0897304i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(-0.936619 - 2.03045i) q^{5} +(-0.0760698 - 0.0508282i) q^{6} +(-3.86692 - 2.58379i) q^{7} +(-0.923880 + 0.382683i) q^{8} +(2.76391 + 1.14485i) q^{9} +O(q^{10})\)	\(q+(0.382683 - 0.923880i) q^{2} +(0.0178485 - 0.0897304i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(-0.936619 - 2.03045i) q^{5} +(-0.0760698 - 0.0508282i) q^{6} +(-3.86692 - 2.58379i) q^{7} +(-0.923880 + 0.382683i) q^{8} +(2.76391 + 1.14485i) q^{9} +(-2.23432 + 0.0883019i) q^{10} +(1.32601 - 1.98452i) q^{11} +(-0.0760698 + 0.0508282i) q^{12} +4.39527 q^{13} +(-3.86692 + 2.58379i) q^{14} +(-0.198911 + 0.0478027i) q^{15} +1.00000i q^{16} +(-2.01803 + 3.59549i) q^{17} +(2.11540 - 2.11540i) q^{18} +(3.95151 - 1.63677i) q^{19} +(-0.773458 + 2.09804i) q^{20} +(-0.300864 + 0.300864i) q^{21} +(-1.32601 - 1.98452i) q^{22} +(-0.00109334 + 0.000217478i) q^{23} +(0.0178485 + 0.0897304i) q^{24} +(-3.24549 + 3.80352i) q^{25} +(1.68200 - 4.06070i) q^{26} +(0.304544 - 0.455782i) q^{27} +(0.907308 + 4.56135i) q^{28} +(-3.34235 - 0.664834i) q^{29} +(-0.0319559 + 0.202063i) q^{30} +(2.20807 + 3.30461i) q^{31} +(0.923880 + 0.382683i) q^{32} +(-0.154404 - 0.154404i) q^{33} +(2.54954 + 3.24035i) q^{34} +(-1.62444 + 10.2716i) q^{35} +(-1.14485 - 2.76391i) q^{36} +(3.12847 + 0.622292i) q^{37} -4.27708i q^{38} +(0.0784490 - 0.394390i) q^{39} +(1.64234 + 1.51747i) q^{40} +(8.42449 - 1.67574i) q^{41} +(0.162826 + 0.393097i) q^{42} +(0.627283 + 1.51440i) q^{43} +(-2.34090 + 0.465634i) q^{44} +(-0.264167 - 6.68427i) q^{45} +(-0.000217478 + 0.00109334i) q^{46} -12.7925i q^{47} +(0.0897304 + 0.0178485i) q^{48} +(5.59831 + 13.5155i) q^{49} +(2.27200 + 4.45399i) q^{50} +(0.286606 + 0.245252i) q^{51} +(-3.10793 - 3.10793i) q^{52} +(-3.98038 - 1.64873i) q^{53} +(-0.304544 - 0.455782i) q^{54} +(-5.27144 - 0.833671i) q^{55} +(4.56135 + 0.907308i) q^{56} +(-0.0763394 - 0.383784i) q^{57} +(-1.89329 + 2.83350i) q^{58} +(0.521410 - 1.25879i) q^{59} +(0.174453 + 0.106850i) q^{60} +(2.18343 + 10.9769i) q^{61} +(3.89805 - 0.775371i) q^{62} +(-7.72976 - 11.5684i) q^{63} +(0.707107 - 0.707107i) q^{64} +(-4.11670 - 8.92440i) q^{65} +(-0.201739 + 0.0835630i) q^{66} +(-4.34878 + 4.34878i) q^{67} +(3.96936 - 1.11544i) q^{68} +0.000101987i q^{69} +(8.86811 + 5.43158i) q^{70} +(-6.21714 + 4.15416i) q^{71} -2.99163 q^{72} +(8.62544 - 5.76334i) q^{73} +(1.77214 - 2.65219i) q^{74} +(0.283365 + 0.359106i) q^{75} +(-3.95151 - 1.63677i) q^{76} +(-10.2552 + 4.24783i) q^{77} +(-0.334347 - 0.223404i) q^{78} +(-7.53350 - 5.03372i) q^{79} +(2.03045 - 0.936619i) q^{80} +(6.31074 + 6.31074i) q^{81} +(1.67574 - 8.42449i) q^{82} +(-5.65365 + 13.6491i) q^{83} +0.425485 q^{84} +(9.19061 + 0.729901i) q^{85} +1.63917 q^{86} +(-0.119312 + 0.288044i) q^{87} +(-0.465634 + 2.34090i) q^{88} +(-10.3904 - 10.3904i) q^{89} +(-6.27655 - 2.31390i) q^{90} +(-16.9962 - 11.3565i) q^{91} +(0.000926886 + 0.000619326i) q^{92} +(0.335935 - 0.139149i) q^{93} +(-11.8187 - 4.89546i) q^{94} +(-7.02444 - 6.49033i) q^{95} +(0.0508282 - 0.0760698i) q^{96} +(-2.50619 + 1.67458i) q^{97} +14.6291 q^{98} +(5.93694 - 3.96694i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q+O(q^{10}) \) 40 * q	\( 40 q - 16 q^{10} - 16 q^{18} + 8 q^{25} - 8 q^{26} + 24 q^{27} - 8 q^{28} + 8 q^{29} + 16 q^{30} - 16 q^{31} - 32 q^{33} + 8 q^{34} - 32 q^{35} - 32 q^{39} - 56 q^{41} - 24 q^{42} + 16 q^{43} + 16 q^{44} + 24 q^{45} + 16 q^{49} - 32 q^{51} - 16 q^{52} + 16 q^{53} - 24 q^{54} - 8 q^{55} - 8 q^{56} - 120 q^{57} + 16 q^{58} + 8 q^{60} + 24 q^{61} - 8 q^{62} - 24 q^{63} - 32 q^{65} + 16 q^{67} - 8 q^{70} + 24 q^{71} + 56 q^{72} + 88 q^{73} + 32 q^{74} + 8 q^{75} + 24 q^{77} + 32 q^{78} - 104 q^{79} + 8 q^{80} + 48 q^{81} + 16 q^{82} + 16 q^{83} + 136 q^{85} + 96 q^{86} + 136 q^{87} - 16 q^{89} + 24 q^{90} + 48 q^{91} - 8 q^{92} - 8 q^{93} - 8 q^{94} - 136 q^{95} + 16 q^{97} + 72 q^{98} + 160 q^{99}+O(q^{100}) \) 40 * q - 16 * q^10 - 16 * q^18 + 8 * q^25 - 8 * q^26 + 24 * q^27 - 8 * q^28 + 8 * q^29 + 16 * q^30 - 16 * q^31 - 32 * q^33 + 8 * q^34 - 32 * q^35 - 32 * q^39 - 56 * q^41 - 24 * q^42 + 16 * q^43 + 16 * q^44 + 24 * q^45 + 16 * q^49 - 32 * q^51 - 16 * q^52 + 16 * q^53 - 24 * q^54 - 8 * q^55 - 8 * q^56 - 120 * q^57 + 16 * q^58 + 8 * q^60 + 24 * q^61 - 8 * q^62 - 24 * q^63 - 32 * q^65 + 16 * q^67 - 8 * q^70 + 24 * q^71 + 56 * q^72 + 88 * q^73 + 32 * q^74 + 8 * q^75 + 24 * q^77 + 32 * q^78 - 104 * q^79 + 8 * q^80 + 48 * q^81 + 16 * q^82 + 16 * q^83 + 136 * q^85 + 96 * q^86 + 136 * q^87 - 16 * q^89 + 24 * q^90 + 48 * q^91 - 8 * q^92 - 8 * q^93 - 8 * q^94 - 136 * q^95 + 16 * q^97 + 72 * q^98 + 160 * q^99

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