LMFDB - Embedded newform 690.2.m.g.151.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [690,2,Mod(31,690)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(690, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 0, 6]))

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

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

chi := DirichletCharacter("690.31");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 690 = 2 \cdot 3 \cdot 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	690.m (of order $11$, degree $10$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$5.50967773947$
Analytic rank:	$0$
Dimension:	$30$
Relative dimension:	$3$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			151.2
Character	$\chi$	$=$	690.151
Dual form			690.2.m.g.361.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.654861 - 0.755750i) q^{2} +(0.841254 + 0.540641i) q^{3} +(-0.142315 + 0.989821i) q^{4} +(0.415415 - 0.909632i) q^{5} +(-0.142315 - 0.989821i) q^{6} +(-1.69063 - 0.496413i) q^{7} +(0.841254 - 0.540641i) q^{8} +(0.415415 + 0.909632i) q^{9} +O(q^{10})$	\(q+(-0.654861 - 0.755750i) q^{2} +(0.841254 + 0.540641i) q^{3} +(-0.142315 + 0.989821i) q^{4} +(0.415415 - 0.909632i) q^{5} +(-0.142315 - 0.989821i) q^{6} +(-1.69063 - 0.496413i) q^{7} +(0.841254 - 0.540641i) q^{8} +(0.415415 + 0.909632i) q^{9} +(-0.959493 + 0.281733i) q^{10} +(-3.55004 + 4.09696i) q^{11} +(-0.654861 + 0.755750i) q^{12} +(-6.78375 + 1.99189i) q^{13} +(0.731962 + 1.60277i) q^{14} +(0.841254 - 0.540641i) q^{15} +(-0.959493 - 0.281733i) q^{16} +(0.457555 + 3.18237i) q^{17} +(0.415415 - 0.909632i) q^{18} +(0.185936 - 1.29322i) q^{19} +(0.841254 + 0.540641i) q^{20} +(-1.15387 - 1.33163i) q^{21} +5.42106 q^{22} +(-4.70500 + 0.928979i) q^{23} +1.00000 q^{24} +(-0.654861 - 0.755750i) q^{25} +(5.94778 + 3.82241i) q^{26} +(-0.142315 + 0.989821i) q^{27} +(0.731962 - 1.60277i) q^{28} +(-0.0895014 - 0.622496i) q^{29} +(-0.959493 - 0.281733i) q^{30} +(9.00156 - 5.78495i) q^{31} +(0.415415 + 0.909632i) q^{32} +(-5.20147 + 1.52729i) q^{33} +(2.10544 - 2.42980i) q^{34} +(-1.15387 + 1.33163i) q^{35} +(-0.959493 + 0.281733i) q^{36} +(1.54890 + 3.39163i) q^{37} +(-1.09911 + 0.706355i) q^{38} +(-6.78375 - 1.99189i) q^{39} +(-0.142315 - 0.989821i) q^{40} +(-4.92948 + 10.7941i) q^{41} +(-0.250759 + 1.74407i) q^{42} +(-1.53734 - 0.987985i) q^{43} +(-3.55004 - 4.09696i) q^{44} +1.00000 q^{45} +(3.78319 + 2.94745i) q^{46} +2.28727 q^{47} +(-0.654861 - 0.755750i) q^{48} +(-3.27698 - 2.10599i) q^{49} +(-0.142315 + 0.989821i) q^{50} +(-1.33560 + 2.92455i) q^{51} +(-1.00619 - 6.99818i) q^{52} +(-2.39394 - 0.702923i) q^{53} +(0.841254 - 0.540641i) q^{54} +(2.25199 + 4.93117i) q^{55} +(-1.69063 + 0.496413i) q^{56} +(0.855585 - 0.987398i) q^{57} +(-0.411840 + 0.475289i) q^{58} +(-4.96476 + 1.45779i) q^{59} +(0.415415 + 0.909632i) q^{60} +(-2.15417 + 1.38440i) q^{61} +(-10.2667 - 3.01459i) q^{62} +(-0.250759 - 1.74407i) q^{63} +(0.415415 - 0.909632i) q^{64} +(-1.00619 + 6.99818i) q^{65} +(4.56048 + 2.93084i) q^{66} +(-4.74334 - 5.47410i) q^{67} -3.21509 q^{68} +(-4.46034 - 1.76221i) q^{69} +1.76200 q^{70} +(8.17037 + 9.42911i) q^{71} +(0.841254 + 0.540641i) q^{72} +(-0.615286 + 4.27941i) q^{73} +(1.54890 - 3.39163i) q^{74} +(-0.142315 - 0.989821i) q^{75} +(1.25359 + 0.368088i) q^{76} +(8.03558 - 5.16415i) q^{77} +(2.93704 + 6.43123i) q^{78} +(7.29530 - 2.14209i) q^{79} +(-0.654861 + 0.755750i) q^{80} +(-0.654861 + 0.755750i) q^{81} +(11.3857 - 3.34315i) q^{82} +(-5.72696 - 12.5403i) q^{83} +(1.48229 - 0.952610i) q^{84} +(3.08486 + 0.905796i) q^{85} +(0.260071 + 1.80883i) q^{86} +(0.261253 - 0.572065i) q^{87} +(-0.771497 + 5.36588i) q^{88} +(7.86015 + 5.05141i) q^{89} +(-0.654861 - 0.755750i) q^{90} +12.4576 q^{91} +(-0.249932 - 4.78931i) q^{92} +10.7002 q^{93} +(-1.49784 - 1.72860i) q^{94} +(-1.09911 - 0.706355i) q^{95} +(-0.142315 + 0.989821i) q^{96} +(-3.20202 + 7.01144i) q^{97} +(0.554366 + 3.85570i) q^{98} +(-5.20147 - 1.52729i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 30 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 3 q^{5} - 3 q^{6} - 8 q^{7} - 3 q^{8} - 3 q^{9}+O(q^{10}) $ 30 * q - 3 * q^2 - 3 * q^3 - 3 * q^4 - 3 * q^5 - 3 * q^6 - 8 * q^7 - 3 * q^8 - 3 * q^9	\( 30 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 3 q^{5} - 3 q^{6} - 8 q^{7} - 3 q^{8} - 3 q^{9} - 3 q^{10} + 8 q^{11} - 3 q^{12} - 5 q^{13} - 8 q^{14} - 3 q^{15} - 3 q^{16} + 4 q^{17} - 3 q^{18} + 6 q^{19} - 3 q^{20} + 3 q^{21} + 8 q^{22} + q^{23} + 30 q^{24} - 3 q^{25} - 5 q^{26} - 3 q^{27} - 8 q^{28} - 10 q^{29} - 3 q^{30} - 10 q^{31} - 3 q^{32} - 14 q^{33} - 7 q^{34} + 3 q^{35} - 3 q^{36} - 12 q^{37} - 5 q^{38} - 5 q^{39} - 3 q^{40} + 5 q^{41} + 3 q^{42} + 2 q^{43} + 8 q^{44} + 30 q^{45} - 21 q^{46} + 96 q^{47} - 3 q^{48} - 43 q^{49} - 3 q^{50} + 15 q^{51} - 16 q^{52} + 12 q^{53} - 3 q^{54} + 8 q^{55} - 8 q^{56} + 17 q^{57} + q^{58} - 9 q^{59} - 3 q^{60} + q^{61} - 32 q^{62} + 3 q^{63} - 3 q^{64} - 16 q^{65} - 3 q^{66} - 28 q^{67} + 4 q^{68} + 23 q^{69} + 14 q^{70} + 3 q^{71} - 3 q^{72} - 27 q^{73} - 12 q^{74} - 3 q^{75} - 16 q^{76} + 47 q^{77} + 6 q^{78} + 2 q^{79} - 3 q^{80} - 3 q^{81} + 27 q^{82} + 11 q^{83} + 3 q^{84} - 7 q^{85} + 2 q^{86} - 32 q^{87} - 3 q^{88} + 25 q^{89} - 3 q^{90} - 90 q^{91} - 10 q^{92} + 56 q^{93} - 25 q^{94} - 5 q^{95} - 3 q^{96} - 7 q^{97} - 32 q^{98} - 14 q^{99}+O(q^{100}) \) 30 * q - 3 * q^2 - 3 * q^3 - 3 * q^4 - 3 * q^5 - 3 * q^6 - 8 * q^7 - 3 * q^8 - 3 * q^9 - 3 * q^10 + 8 * q^11 - 3 * q^12 - 5 * q^13 - 8 * q^14 - 3 * q^15 - 3 * q^16 + 4 * q^17 - 3 * q^18 + 6 * q^19 - 3 * q^20 + 3 * q^21 + 8 * q^22 + q^23 + 30 * q^24 - 3 * q^25 - 5 * q^26 - 3 * q^27 - 8 * q^28 - 10 * q^29 - 3 * q^30 - 10 * q^31 - 3 * q^32 - 14 * q^33 - 7 * q^34 + 3 * q^35 - 3 * q^36 - 12 * q^37 - 5 * q^38 - 5 * q^39 - 3 * q^40 + 5 * q^41 + 3 * q^42 + 2 * q^43 + 8 * q^44 + 30 * q^45 - 21 * q^46 + 96 * q^47 - 3 * q^48 - 43 * q^49 - 3 * q^50 + 15 * q^51 - 16 * q^52 + 12 * q^53 - 3 * q^54 + 8 * q^55 - 8 * q^56 + 17 * q^57 + q^58 - 9 * q^59 - 3 * q^60 + q^61 - 32 * q^62 + 3 * q^63 - 3 * q^64 - 16 * q^65 - 3 * q^66 - 28 * q^67 + 4 * q^68 + 23 * q^69 + 14 * q^70 + 3 * q^71 - 3 * q^72 - 27 * q^73 - 12 * q^74 - 3 * q^75 - 16 * q^76 + 47 * q^77 + 6 * q^78 + 2 * q^79 - 3 * q^80 - 3 * q^81 + 27 * q^82 + 11 * q^83 + 3 * q^84 - 7 * q^85 + 2 * q^86 - 32 * q^87 - 3 * q^88 + 25 * q^89 - 3 * q^90 - 90 * q^91 - 10 * q^92 + 56 * q^93 - 25 * q^94 - 5 * q^95 - 3 * q^96 - 7 * q^97 - 32 * q^98 - 14 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/690\mathbb{Z}\right)^\times$.

$n$	$277$	$461$	$511$
$\chi(n)$	$1$	$1$	$e\left(\frac{7}{11}\right)$

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 $

$2$	−0.654861	−	0.755750i	−0.463056	−	0.534396i
$2$	−0.654861	−	0.755750i	−0.463056	−	0.534396i
$3$	0.841254	+	0.540641i	0.485698	+	0.312139i
$3$	0.841254	+	0.540641i	0.485698	+	0.312139i
$4$	−0.142315	+	0.989821i	−0.0711574	+	0.494911i
$5$	0.415415	−	0.909632i	0.185779	−	0.406800i
$5$	0.415415	−	0.909632i	0.185779	−	0.406800i
$6$	−0.142315	−	0.989821i	−0.0580998	−	0.404093i
$7$	−1.69063	−	0.496413i	−0.638997	−	0.187627i	−0.0538442	−	0.998549i	$-0.517147\pi$
$7$	−1.69063	−	0.496413i	−0.638997	−	0.187627i	−0.585153	+	0.810923i	$0.698966\pi$
$8$	0.841254	−	0.540641i	0.297428	−	0.191145i
$9$	0.415415	+	0.909632i	0.138472	+	0.303211i
$10$	−0.959493	+	0.281733i	−0.303418	+	0.0890917i
$11$	−3.55004	+	4.09696i	−1.07038	+	1.23528i	−0.0996680	+	0.995021i	$0.531778\pi$
$11$	−3.55004	+	4.09696i	−1.07038	+	1.23528i	−0.970709	+	0.240260i	$0.922767\pi$
$12$	−0.654861	+	0.755750i	−0.189042	+	0.218166i
$13$	−6.78375	+	1.99189i	−1.88147	+	0.552451i	−0.885305	+	0.465012i	$0.846050\pi$
$13$	−6.78375	+	1.99189i	−1.88147	+	0.552451i	−0.996170	+	0.0874391i	$0.972132\pi$
$14$	0.731962	+	1.60277i	0.195625	+	0.428359i
$15$	0.841254	−	0.540641i	0.217211	−	0.139593i
$16$	−0.959493	−	0.281733i	−0.239873	−	0.0704331i
$17$	0.457555	+	3.18237i	0.110973	+	0.771837i	0.966976	+	0.254866i	$0.0820314\pi$
$17$	0.457555	+	3.18237i	0.110973	+	0.771837i	−0.856003	+	0.516971i	$0.827059\pi$
$18$	0.415415	−	0.909632i	0.0979143	−	0.214402i
$19$	0.185936	−	1.29322i	0.0426568	−	0.296684i	−0.957314	−	0.289050i	$-0.906661\pi$
$19$	0.185936	−	1.29322i	0.0426568	−	0.296684i	0.999971	−	0.00763456i	$-0.00243018\pi$
$20$	0.841254	+	0.540641i	0.188110	+	0.120891i
$21$	−1.15387	−	1.33163i	−0.251794	−	0.290586i
$22$	5.42106			1.15577
$23$	−4.70500	+	0.928979i	−0.981060	+	0.193705i
$23$	−4.70500	+	0.928979i	−0.981060	+	0.193705i
$24$	1.00000			0.204124
$25$	−0.654861	−	0.755750i	−0.130972	−	0.151150i
$26$	5.94778	+	3.82241i	1.16646	+	0.749636i
$27$	−0.142315	+	0.989821i	−0.0273885	+	0.190491i
$28$	0.731962	−	1.60277i	0.138328	−	0.302896i
$29$	−0.0895014	−	0.622496i	−0.0166200	−	0.115595i	0.979823	−	0.199869i	$-0.0640518\pi$
$29$	−0.0895014	−	0.622496i	−0.0166200	−	0.115595i	−0.996443	+	0.0842747i	$0.973143\pi$
$30$	−0.959493	−	0.281733i	−0.175179	−	0.0514371i
$31$	9.00156	−	5.78495i	1.61673	−	1.03901i	0.658670	−	0.752432i	$-0.271119\pi$
$31$	9.00156	−	5.78495i	1.61673	−	1.03901i	0.958058	−	0.286576i	$-0.0925170\pi$
$32$	0.415415	+	0.909632i	0.0734357	+	0.160802i
$33$	−5.20147	+	1.52729i	−0.905459	+	0.265867i
$34$	2.10544	−	2.42980i	0.361079	−	0.416708i
$35$	−1.15387	+	1.33163i	−0.195039	+	0.225087i
$36$	−0.959493	+	0.281733i	−0.159915	+	0.0469554i
$37$	1.54890	+	3.39163i	0.254638	+	0.557580i	0.993175	−	0.116633i	$-0.0372101\pi$
$37$	1.54890	+	3.39163i	0.254638	+	0.557580i	−0.738537	+	0.674213i	$0.764483\pi$
$38$	−1.09911	+	0.706355i	−0.178299	+	0.114586i
$39$	−6.78375	−	1.99189i	−1.08627	−	0.318958i
$40$	−0.142315	−	0.989821i	−0.0225020	−	0.156505i
$41$	−4.92948	+	10.7941i	−0.769855	+	1.68575i	−0.0428844	+	0.999080i	$0.513655\pi$
$41$	−4.92948	+	10.7941i	−0.769855	+	1.68575i	−0.726971	+	0.686668i	$0.759073\pi$
$42$	−0.250759	+	1.74407i	−0.0386930	+	0.269115i
$43$	−1.53734	−	0.987985i	−0.234441	−	0.150666i	0.418146	−	0.908380i	$-0.362680\pi$
$43$	−1.53734	−	0.987985i	−0.234441	−	0.150666i	−0.652587	+	0.757714i	$0.726316\pi$
$44$	−3.55004	−	4.09696i	−0.535188	−	0.617640i
$45$	1.00000			0.149071
$46$	3.78319	+	2.94745i	0.557801	+	0.434577i
$47$	2.28727			0.333633			0.166816	−	0.985988i	$-0.446651\pi$
$47$	2.28727			0.333633			0.166816	+	0.985988i	$0.446651\pi$
$48$	−0.654861	−	0.755750i	−0.0945210	−	0.109083i
$49$	−3.27698	−	2.10599i	−0.468140	−	0.300855i
$50$	−0.142315	+	0.989821i	−0.0201264	+	0.139982i
$51$	−1.33560	+	2.92455i	−0.187021	+	0.409519i
$52$	−1.00619	−	6.99818i	−0.139533	−	0.970473i
$53$	−2.39394	−	0.702923i	−0.328832	−	0.0965539i	0.113149	−	0.993578i	$-0.463906\pi$
$53$	−2.39394	−	0.702923i	−0.328832	−	0.0965539i	−0.441982	+	0.897024i	$0.645724\pi$
$54$	0.841254	−	0.540641i	0.114480	−	0.0735719i
$55$	2.25199	+	4.93117i	0.303658	+	0.664918i
$56$	−1.69063	+	0.496413i	−0.225920	+	0.0663360i
$57$	0.855585	−	0.987398i	0.113325	−	0.130784i
$58$	−0.411840	+	0.475289i	−0.0540772	+	0.0624085i
$59$	−4.96476	+	1.45779i	−0.646357	+	0.189787i	−0.588449	−	0.808534i	$-0.700261\pi$
$59$	−4.96476	+	1.45779i	−0.646357	+	0.189787i	−0.0579079	+	0.998322i	$0.518443\pi$
$60$	0.415415	+	0.909632i	0.0536298	+	0.117433i
$61$	−2.15417	+	1.38440i	−0.275814	+	0.177255i	−0.671234	−	0.741246i	$-0.734235\pi$
$61$	−2.15417	+	1.38440i	−0.275814	+	0.177255i	0.395420	+	0.918500i	$0.370599\pi$
$62$	−10.2667	−	3.01459i	−1.30388	−	0.382853i
$63$	−0.250759	−	1.74407i	−0.0315927	−	0.219732i
$64$	0.415415	−	0.909632i	0.0519269	−	0.113704i
$65$	−1.00619	+	6.99818i	−0.124802	+	0.868017i
$66$	4.56048	+	2.93084i	0.561357	+	0.360762i
$67$	−4.74334	−	5.47410i	−0.579491	−	0.668768i	0.388004	−	0.921657i	$-0.373165\pi$
$67$	−4.74334	−	5.47410i	−0.579491	−	0.668768i	−0.967495	+	0.252890i	$0.918619\pi$
$68$	−3.21509			−0.389887
$69$	−4.46034	−	1.76221i	−0.536962	−	0.212145i
$70$	1.76200			0.210599
$71$	8.17037	+	9.42911i	0.969644	+	1.11903i	0.992858	+	0.119299i	$0.0380646\pi$
$71$	8.17037	+	9.42911i	0.969644	+	1.11903i	−0.0232143	+	0.999731i	$0.507390\pi$
$72$	0.841254	+	0.540641i	0.0991427	+	0.0637151i
$73$	−0.615286	+	4.27941i	−0.0720138	+	0.500867i	0.921610	+	0.388118i	$0.126875\pi$
$73$	−0.615286	+	4.27941i	−0.0720138	+	0.500867i	−0.993623	+	0.112749i	$0.964034\pi$
$74$	1.54890	−	3.39163i	0.180057	−	0.394269i
$75$	−0.142315	−	0.989821i	−0.0164331	−	0.114295i
$76$	1.25359	+	0.368088i	0.143797	+	0.0422226i
$77$	8.03558	−	5.16415i	0.915739	−	0.588510i
$78$	2.93704	+	6.43123i	0.332555	+	0.728193i
$79$	7.29530	−	2.14209i	0.820786	−	0.241004i	0.155731	−	0.987799i	$-0.450227\pi$
$79$	7.29530	−	2.14209i	0.820786	−	0.241004i	0.665054	+	0.746795i	$0.268408\pi$
$80$	−0.654861	+	0.755750i	−0.0732157	+	0.0844954i
$81$	−0.654861	+	0.755750i	−0.0727623	+	0.0839722i
$82$	11.3857	−	3.34315i	1.25734	−	0.369189i
$83$	−5.72696	−	12.5403i	−0.628615	−	1.37648i	−0.909084	−	0.416613i	$-0.863217\pi$
$83$	−5.72696	−	12.5403i	−0.628615	−	1.37648i	0.280469	−	0.959863i	$-0.409510\pi$
$84$	1.48229	−	0.952610i	0.161731	−	0.103938i
$85$	3.08486	+	0.905796i	0.334600	+	0.0982474i
$86$	0.260071	+	1.80883i	0.0280442	+	0.195052i
$87$	0.261253	−	0.572065i	0.0280093	−	0.0613318i
$88$	−0.771497	+	5.36588i	−0.0822418	+	0.572005i
$89$	7.86015	+	5.05141i	0.833175	+	0.535449i	0.886285	−	0.463140i	$-0.153277\pi$
$89$	7.86015	+	5.05141i	0.833175	+	0.535449i	−0.0531106	+	0.998589i	$0.516914\pi$
$90$	−0.654861	−	0.755750i	−0.0690284	−	0.0796630i
$91$	12.4576			1.30591
$92$	−0.249932	−	4.78931i	−0.0260572	−	0.499321i
$93$	10.7002			1.10956
$94$	−1.49784	−	1.72860i	−0.154491	−	0.178292i
$95$	−1.09911	−	0.706355i	−0.112766	−	0.0724705i
$96$	−0.142315	+	0.989821i	−0.0145249	+	0.101023i
$97$	−3.20202	+	7.01144i	−0.325116	+	0.711904i	−0.999653	−	0.0263368i	$-0.991616\pi$
$97$	−3.20202	+	7.01144i	−0.325116	+	0.711904i	0.674538	+	0.738241i	$0.264343\pi$
$98$	0.554366	+	3.85570i	0.0559994	+	0.389485i
$99$	−5.20147	−	1.52729i	−0.522767	−	0.153498i
$100$	0.841254	−	0.540641i	0.0841254	−	0.0540641i
$101$	−2.36651	−	5.18193i	−0.235477	−	0.515622i	0.754594	−	0.656192i	$-0.227834\pi$
$101$	−2.36651	−	5.18193i	−0.235477	−	0.515622i	−0.990071	+	0.140570i	$0.955106\pi$
$102$	3.08486	−	0.905796i	0.305446	−	0.0896872i
$103$	4.44327	−	5.12780i	0.437808	−	0.505257i	−0.493371	−	0.869819i	$-0.664236\pi$
$103$	4.44327	−	5.12780i	0.437808	−	0.505257i	0.931179	+	0.364561i	$0.118781\pi$
$104$	−4.62996	+	5.34326i	−0.454005	+	0.523950i
$105$	−1.69063	+	0.496413i	−0.164988	+	0.0484450i
$106$	1.03646	+	2.26953i	0.100670	+	0.220437i
$107$	−11.3500	+	7.29417i	−1.09724	+	0.705154i	−0.958477	−	0.285171i	$-0.907950\pi$
$107$	−11.3500	+	7.29417i	−1.09724	+	0.705154i	−0.138765	+	0.990325i	$0.544313\pi$
$108$	−0.959493	−	0.281733i	−0.0923273	−	0.0271097i
$109$	0.172314	+	1.19847i	0.0165047	+	0.114793i	0.996408	−	0.0846790i	$-0.0269865\pi$
$109$	0.172314	+	1.19847i	0.0165047	+	0.114793i	−0.979904	+	0.199472i	$0.936077\pi$
$110$	2.25199	−	4.93117i	0.214719	−	0.470168i
$111$	−0.530631	+	3.69062i	−0.0503653	+	0.350298i
$112$	1.48229	+	0.952610i	0.140063	+	0.0900132i
$113$	4.66583	+	5.38465i	0.438924	+	0.506545i	0.931509	−	0.363719i	$-0.118493\pi$
$113$	4.66583	+	5.38465i	0.438924	+	0.506545i	−0.492585	+	0.870265i	$0.663948\pi$
$114$	−1.30651			−0.122366
$115$	−1.10950	+	4.66573i	−0.103461	+	0.435081i
$116$	0.628897			0.0583916
$117$	−4.62996	−	5.34326i	−0.428040	−	0.493984i
$118$	4.35295	+	2.79747i	0.400721	+	0.257528i
$119$	0.806213	−	5.60733i	0.0739054	−	0.514024i
$120$	0.415415	−	0.909632i	0.0379220	−	0.0830377i
$121$	−2.61687	−	18.2007i	−0.237897	−	1.65461i
$122$	2.45695	+	0.721424i	0.222441	+	0.0653147i
$123$	−9.98265	+	6.41546i	−0.900105	+	0.578462i
$124$	4.44501	+	9.73322i	0.399174	+	0.874069i
$125$	−0.959493	+	0.281733i	−0.0858197	+	0.0251989i
$126$	−1.15387	+	1.33163i	−0.102795	+	0.118631i
$127$	2.19762	−	2.53619i	0.195007	−	0.225050i	−0.649822	−	0.760086i	$-0.725157\pi$
$127$	2.19762	−	2.53619i	0.195007	−	0.225050i	0.844829	+	0.535036i	$0.179702\pi$
$128$	−0.959493	+	0.281733i	−0.0848080	+	0.0249019i
$129$	−0.759143	−	1.66229i	−0.0668389	−	0.146357i
$130$	5.94778	−	3.82241i	0.521655	−	0.335247i
$131$	12.1472	+	3.56673i	1.06130	+	0.311626i	0.765375	−	0.643584i	$-0.222553\pi$
$131$	12.1472	+	3.56673i	1.06130	+	0.311626i	0.295927	+	0.955211i	$0.404372\pi$
$132$	−0.771497	−	5.36588i	−0.0671502	−	0.467040i
$133$	−0.956319	+	2.09405i	−0.0829234	+	0.181577i
$134$	−1.03083	+	7.16955i	−0.0890497	+	0.619355i
$135$	0.841254	+	0.540641i	0.0724036	+	0.0465310i
$136$	2.10544	+	2.42980i	0.180540	+	0.208354i
$137$	−18.6608			−1.59430			−0.797148	−	0.603784i	$-0.793659\pi$
$137$	−18.6608			−1.59430			−0.797148	+	0.603784i	$0.793659\pi$
$138$	1.58911	+	4.52490i	0.135274	+	0.385185i
$139$	3.71455			0.315064			0.157532	−	0.987514i	$-0.449646\pi$
$139$	3.71455			0.315064			0.157532	+	0.987514i	$0.449646\pi$
$140$	−1.15387	−	1.33163i	−0.0975195	−	0.112543i
$141$	1.92417	+	1.23659i	0.162045	+	0.104140i
$142$	1.77559	−	12.3495i	0.149004	−	1.03635i
$143$	15.9219	−	34.8641i	1.33145	−	2.91548i
$144$	−0.142315	−	0.989821i	−0.0118596	−	0.0824851i
$145$	−0.603422	−	0.177181i	−0.0501115	−	0.0147141i
$146$	3.63709	−	2.33742i	0.301008	−	0.193446i
$147$	−1.61819	−	3.54333i	−0.133466	−	0.292249i
$148$	−3.57754	+	1.05046i	−0.294072	+	0.0863473i
$149$	−8.04364	+	9.28286i	−0.658961	+	0.760482i	−0.982607	−	0.185697i	$-0.940546\pi$
$149$	−8.04364	+	9.28286i	−0.658961	+	0.760482i	0.323646	+	0.946178i	$0.395091\pi$
$150$	−0.654861	+	0.755750i	−0.0534692	+	0.0617067i
$151$	0.507150	−	0.148913i	0.0412713	−	0.0121183i	−0.261032	−	0.965330i	$-0.584063\pi$
$151$	0.507150	−	0.148913i	0.0412713	−	0.0121183i	0.302303	+	0.953212i	$0.402245\pi$
$152$	−0.542746	−	1.18845i	−0.0440225	−	0.0963958i
$153$	−2.70471	+	1.73821i	−0.218663	+	0.140526i
$154$	−9.16499	−	2.69108i	−0.738536	−	0.216854i
$155$	−1.52279	−	10.5913i	−0.122314	−	0.850711i
$156$	2.93704	−	6.43123i	0.235152	−	0.514910i
$157$	2.53450	−	17.6279i	0.202275	−	1.40686i	−0.595235	−	0.803551i	$-0.702941\pi$
$157$	2.53450	−	17.6279i	0.202275	−	1.40686i	0.797511	−	0.603305i	$-0.206150\pi$
$158$	−6.39630	−	4.11065i	−0.508862	−	0.327026i
$159$	−1.63388	−	1.88560i	−0.129575	−	0.149538i
$160$	1.00000			0.0790569
$161$	8.41556	+	0.765065i	0.663239	+	0.0602956i
$162$	1.00000			0.0785674
$163$	−6.57653	−	7.58972i	−0.515113	−	0.594472i	0.437287	−	0.899322i	$-0.355939\pi$
$163$	−6.57653	−	7.58972i	−0.515113	−	0.594472i	−0.952401	+	0.304849i	$0.901394\pi$
$164$	−9.98265	−	6.41546i	−0.779514	−	0.500963i
$165$	−0.771497	+	5.36588i	−0.0600610	+	0.417733i
$166$	−5.72696	+	12.5403i	−0.444498	+	0.973315i
$167$	1.22602	+	8.52714i	0.0948721	+	0.659850i	0.980654	+	0.195749i	$0.0627136\pi$
$167$	1.22602	+	8.52714i	0.0948721	+	0.659850i	−0.885782	+	0.464102i	$0.846377\pi$
$168$	−1.69063	−	0.496413i	−0.130435	−	0.0382991i
$169$	31.1154	−	19.9966i	2.39349	−	1.53820i
$170$	−1.33560	−	2.92455i	−0.102436	−	0.224303i
$171$	1.25359	−	0.368088i	0.0958646	−	0.0281484i
$172$	1.19671	−	1.38108i	0.0912486	−	0.105307i
$173$	−1.41011	+	1.62735i	−0.107209	+	0.123725i	−0.806818	−	0.590800i	$-0.798812\pi$
$173$	−1.41011	+	1.62735i	−0.107209	+	0.123725i	0.699609	+	0.714526i	$0.253358\pi$
$174$	−0.603422	+	0.177181i	−0.0457453	+	0.0134320i
$175$	0.731962	+	1.60277i	0.0553311	+	0.121158i
$176$	4.56048	−	2.93084i	0.343759	−	0.220921i
$177$	−4.96476	−	1.45779i	−0.373174	−	0.109574i
$178$	−1.32970	−	9.24828i	−0.0996654	−	0.693188i
$179$	7.16394	−	15.6868i	0.535458	−	1.17249i	−0.427791	−	0.903878i	$-0.640708\pi$
$179$	7.16394	−	15.6868i	0.535458	−	1.17249i	0.963249	−	0.268612i	$-0.0865648\pi$
$180$	−0.142315	+	0.989821i	−0.0106075	+	0.0737769i
$181$	11.6035	+	7.45709i	0.862478	+	0.554281i	0.895443	−	0.445176i	$-0.146859\pi$
$181$	11.6035	+	7.45709i	0.862478	+	0.554281i	−0.0329655	+	0.999456i	$0.510495\pi$
$182$	−8.15800	−	9.41483i	−0.604711	−	0.697874i
$183$	−2.56067			−0.189290
$184$	−3.45585	+	3.32522i	−0.254769	+	0.245138i
$185$	3.72857			0.274130
$186$	−7.00712	−	8.08665i	−0.513787	−	0.592942i
$187$	−14.6624	−	9.42293i	−1.07222	−	0.689073i
$188$	−0.325512	+	2.26399i	−0.0237404	+	0.165118i
$189$	0.731962	−	1.60277i	0.0532424	−	0.116585i
$190$	0.185936	+	1.29322i	0.0134892	+	0.0938198i
$191$	18.9779	+	5.57243i	1.37320	+	0.403207i	0.883396	−	0.468628i	$-0.155252\pi$
$191$	18.9779	+	5.57243i	1.37320	+	0.403207i	0.489800	+	0.871835i	$0.337070\pi$
$192$	0.841254	−	0.540641i	0.0607122	−	0.0390174i
$193$	−6.53484	−	14.3093i	−0.470388	−	1.03001i	−0.984995	−	0.172581i	$-0.944789\pi$
$193$	−6.53484	−	14.3093i	−0.470388	−	1.03001i	0.514607	−	0.857426i	$-0.327938\pi$
$194$	7.39577	−	2.17159i	0.530985	−	0.155911i
$195$	−4.62996	+	5.34326i	−0.331558	+	0.382639i
$196$	2.55091	−	2.94391i	0.182208	−	0.210279i
$197$	13.7974	−	4.05128i	0.983023	−	0.288642i	0.249551	−	0.968362i	$-0.419717\pi$
$197$	13.7974	−	4.05128i	0.983023	−	0.288642i	0.733472	+	0.679720i	$0.237899\pi$
$198$	2.25199	+	4.93117i	0.160042	+	0.350443i
$199$	−19.8632	+	12.7653i	−1.40807	+	0.904909i	−0.999968	−	0.00802855i	$-0.997444\pi$
$199$	−19.8632	+	12.7653i	−1.40807	+	0.904909i	−0.408099	+	0.912938i	$0.633808\pi$
$200$	−0.959493	−	0.281733i	−0.0678464	−	0.0199215i
$201$	−1.03083	−	7.16955i	−0.0727088	−	0.505701i
$202$	−2.36651	+	5.18193i	−0.166507	+	0.364600i
$203$	−0.157702	+	1.09684i	−0.0110685	+	0.0769830i
$204$	−2.70471	−	1.73821i	−0.189367	−	0.121699i
$205$	7.77084	+	8.96803i	0.542739	+	0.626354i
$206$	−6.78506			−0.472737
$207$	−2.79956	−	3.89390i	−0.194583	−	0.270645i
$208$	7.07014			0.490226
$209$	4.63818	+	5.35274i	0.320829	+	0.370257i
$210$	1.48229	+	0.952610i	0.102288	+	0.0657363i
$211$	−0.920918	+	6.40512i	−0.0633986	+	0.440947i	0.933256	+	0.359213i	$0.116955\pi$
$211$	−0.920918	+	6.40512i	−0.0633986	+	0.440947i	−0.996654	+	0.0817339i	$0.973954\pi$
$212$	1.03646	−	2.26953i	0.0711844	−	0.155872i
$213$	1.77559	+	12.3495i	0.121661	+	0.846174i
$214$	12.9452	+	3.80106i	0.884916	+	0.259835i
$215$	−1.53734	+	0.987985i	−0.104845	+	0.0673800i
$216$	0.415415	+	0.909632i	0.0282654	+	0.0618926i
$217$	−18.0900	+	5.31171i	−1.22803	+	0.360582i
$218$	0.792903	−	0.915059i	0.0537022	−	0.0619756i
$219$	−2.83124	+	3.26742i	−0.191317	+	0.220792i
$220$	−5.20147	+	1.52729i	−0.350683	+	0.102970i
$221$	−9.44286	−	20.6770i	−0.635196	−	1.39088i
$222$	3.13667	−	2.01582i	0.210520	−	0.135293i
$223$	−6.45205	−	1.89449i	−0.432061	−	0.126865i	0.0584681	−	0.998289i	$-0.481378\pi$
$223$	−6.45205	−	1.89449i	−0.432061	−	0.126865i	−0.490529	+	0.871425i	$0.663197\pi$
$224$	−0.250759	−	1.74407i	−0.0167545	−	0.116530i
$225$	0.415415	−	0.909632i	0.0276943	−	0.0606421i
$226$	1.01398	−	7.05239i	0.0674490	−	0.469118i
$227$	−3.35632	−	2.15698i	−0.222767	−	0.143164i	0.424498	−	0.905429i	$-0.360451\pi$
$227$	−3.35632	−	2.15698i	−0.222767	−	0.143164i	−0.647265	+	0.762265i	$0.724087\pi$
$228$	0.855585	+	0.987398i	0.0566625	+	0.0653920i
$229$	−19.6080			−1.29573			−0.647865	−	0.761755i	$-0.724338\pi$
$229$	−19.6080			−1.29573			−0.647865	+	0.761755i	$0.724338\pi$
$230$	4.25269	−	2.21690i	0.280414	−	0.146178i
$231$	9.55191			0.628470
$232$	−0.411840	−	0.475289i	−0.0270386	−	0.0312042i
$233$	20.3605	+	13.0849i	1.33386	+	0.857222i	0.996454	−	0.0841368i	$-0.0268133\pi$
$233$	20.3605	+	13.0849i	1.33386	+	0.857222i	0.337408	+	0.941358i	$0.390450\pi$
$234$	−1.00619	+	6.99818i	−0.0657765	+	0.457485i
$235$	0.950166	−	2.08057i	0.0619820	−	0.135722i
$236$	−0.736388	−	5.12169i	−0.0479348	−	0.333394i
$237$	7.29530	+	2.14209i	0.473881	+	0.139144i
$238$	−4.76570	+	3.06273i	−0.308914	+	0.198527i
$239$	−11.1963	−	24.5165i	−0.724228	−	1.58584i	−0.807882	−	0.589344i	$-0.799386\pi$
$239$	−11.1963	−	24.5165i	−0.724228	−	1.58584i	0.0836543	−	0.996495i	$-0.473341\pi$
$240$	−0.959493	+	0.281733i	−0.0619350	+	0.0181858i
$241$	−19.9385	+	23.0102i	−1.28435	+	1.48222i	−0.494141	+	0.869381i	$0.664518\pi$
$241$	−19.9385	+	23.0102i	−1.28435	+	1.48222i	−0.790209	+	0.612838i	$0.790028\pi$
$242$	−12.0415	+	13.8966i	−0.774056	+	0.893309i
$243$	−0.959493	+	0.281733i	−0.0615515	+	0.0180732i
$244$	−1.06374	−	2.32927i	−0.0680991	−	0.149116i
$245$	−3.27698	+	2.10599i	−0.209358	+	0.134546i
$246$	11.3857	+	3.34315i	0.725927	+	0.213152i
$247$	1.31460	+	9.14323i	0.0836458	+	0.581770i
$248$	4.44501	−	9.73322i	0.282259	−	0.618060i
$249$	1.96197	−	13.6458i	0.124335	−	0.864767i
$250$	0.841254	+	0.540641i	0.0532055	+	0.0341931i
$251$	13.7514	+	15.8700i	0.867981	+	1.00170i	0.999945	+	0.0104493i	$0.00332617\pi$
$251$	13.7514	+	15.8700i	0.867981	+	1.00170i	−0.131964	+	0.991254i	$0.542128\pi$
$252$	1.76200			0.110996
$253$	12.8969	−	22.5741i	0.810823	−	1.41922i
$254$	−3.35585			−0.210565
$255$	2.10544	+	2.42980i	0.131848	+	0.152160i
$256$	0.841254	+	0.540641i	0.0525783	+	0.0337901i
$257$	−3.31571	+	23.0612i	−0.206828	+	1.43852i	0.576594	+	0.817031i	$0.304381\pi$
$257$	−3.31571	+	23.0612i	−0.206828	+	1.43852i	−0.783422	+	0.621490i	$0.786528\pi$
$258$	−0.759143	+	1.66229i	−0.0472622	+	0.103490i
$259$	−0.934973	−	6.50288i	−0.0580964	−	0.404069i
$260$	−6.78375	−	1.99189i	−0.420710	−	0.123532i
$261$	0.529062	−	0.340007i	0.0327481	−	0.0210459i
$262$	−5.25914	−	11.5159i	−0.324911	−	0.711456i
$263$	−17.0105	+	4.99473i	−1.04891	+	0.307988i	−0.760377	−	0.649482i	$-0.774986\pi$
$263$	−17.0105	+	4.99473i	−1.04891	+	0.307988i	−0.288534	+	0.957470i	$0.593168\pi$
$264$	−3.55004	+	4.09696i	−0.218490	+	0.252151i
$265$	−1.63388	+	1.88560i	−0.100368	+	0.115831i
$266$	2.20883	−	0.648571i	0.135432	−	0.0397665i
$267$	3.88138	+	8.49904i	0.237537	+	0.520133i
$268$	6.09343	−	3.91601i	0.372215	−	0.239208i
$269$	4.24570	+	1.24665i	0.258865	+	0.0760096i	0.408590	−	0.912718i	$-0.366021\pi$
$269$	4.24570	+	1.24665i	0.258865	+	0.0760096i	−0.149725	+	0.988728i	$0.547839\pi$
$270$	−0.142315	−	0.989821i	−0.00866101	−	0.0602386i
$271$	1.97630	−	4.32749i	0.120052	−	0.262876i	−0.840060	−	0.542493i	$-0.817480\pi$
$271$	1.97630	−	4.32749i	0.120052	−	0.262876i	0.960112	+	0.279617i	$0.0902076\pi$
$272$	0.457555	−	3.18237i	0.0277434	−	0.192959i
$273$	10.4800	+	6.73509i	0.634279	+	0.407626i
$274$	12.2202	+	14.1029i	0.738249	+	0.851985i
$275$	5.42106			0.326902
$276$	2.37904	−	4.16415i	0.143202	−	0.250652i
$277$	26.0157			1.56313			0.781567	−	0.623822i	$-0.214421\pi$
$277$	26.0157			1.56313			0.781567	+	0.623822i	$0.214421\pi$
$278$	−2.43252	−	2.80727i	−0.145893	−	0.168369i
$279$	9.00156	+	5.78495i	0.538909	+	0.346336i
$280$	−0.250759	+	1.74407i	−0.0149857	+	0.104228i
$281$	−10.6155	+	23.2447i	−0.633266	+	1.38666i	0.272199	+	0.962241i	$0.412249\pi$
$281$	−10.6155	+	23.2447i	−0.633266	+	1.38666i	−0.905466	+	0.424419i	$0.860478\pi$
$282$	−0.325512	−	2.26399i	−0.0193840	−	0.134819i
$283$	5.76766	+	1.69354i	0.342852	+	0.100670i	0.448626	−	0.893720i	$-0.351914\pi$
$283$	5.76766	+	1.69354i	0.342852	+	0.100670i	−0.105774	+	0.994390i	$0.533732\pi$
$284$	−10.4959	+	6.74530i	−0.622817	+	0.400260i
$285$	−0.542746	−	1.18845i	−0.0321495	−	0.0703976i
$286$	−36.7751	+	10.7981i	−2.17456	+	0.638508i
$287$	13.6922	−	15.8017i	0.808227	−	0.932743i
$288$	−0.654861	+	0.755750i	−0.0385880	+	0.0445330i
$289$	6.39328	−	1.87724i	0.376075	−	0.110426i
$290$	0.261253	+	0.572065i	0.0153413	+	0.0335928i
$291$	−6.48438	+	4.16726i	−0.380121	+	0.244289i
$292$	−4.14829	−	1.21805i	−0.242760	−	0.0712808i
$293$	−0.955922	−	6.64858i	−0.0558456	−	0.388414i	−0.998505	−	0.0546585i	$-0.982593\pi$
$293$	−0.955922	−	6.64858i	−0.0558456	−	0.388414i	0.942660	−	0.333756i	$-0.108316\pi$
$294$	−1.61819	+	3.54333i	−0.0943746	+	0.206651i
$295$	−0.736388	+	5.12169i	−0.0428742	+	0.298196i
$296$	3.13667	+	2.01582i	0.182315	+	0.117167i
$297$	−3.55004	−	4.09696i	−0.205994	−	0.237730i
$298$	12.2830			0.711534
$299$	30.0671	−	15.6738i	1.73883	−	0.906439i
$300$	1.00000			0.0577350
$301$	2.10861	+	2.43347i	0.121538	+	0.140263i
$302$	−0.444653	−	0.285761i	−0.0255869	−	0.0164437i
$303$	0.810730	−	5.63875i	0.0465752	−	0.323938i
$304$	−0.542746	+	1.18845i	−0.0311286	+	0.0681622i
$305$	0.364422	+	2.53461i	0.0208667	+	0.145131i
$306$	3.08486	+	0.905796i	0.176350	+	0.0517809i
$307$	7.58423	−	4.87409i	0.432855	−	0.278179i	−0.306016	−	0.952027i	$-0.598996\pi$
$307$	7.58423	−	4.87409i	0.432855	−	0.278179i	0.738870	+	0.673848i	$0.235360\pi$
$308$	3.96801	+	8.68873i	0.226098	+	0.495086i
$309$	6.51021	−	1.91157i	0.370353	−	0.108745i
$310$	−7.00712	+	8.08665i	−0.397978	+	0.459291i
$311$	−2.87707	+	3.32032i	−0.163144	+	0.188278i	−0.831435	−	0.555621i	$-0.812480\pi$
$311$	−2.87707	+	3.32032i	−0.163144	+	0.188278i	0.668292	+	0.743899i	$0.267026\pi$
$312$	−6.78375	+	1.99189i	−0.384054	+	0.112769i
$313$	5.86386	+	12.8401i	0.331445	+	0.725764i	0.999837	−	0.0180456i	$-0.00574440\pi$
$313$	5.86386	+	12.8401i	0.331445	+	0.725764i	−0.668392	+	0.743809i	$0.733017\pi$
$314$	−14.9820	+	9.62834i	−0.845483	+	0.543359i
$315$	−1.69063	−	0.496413i	−0.0952561	−	0.0279697i
$316$	1.08206	+	7.52590i	0.0608707	+	0.423365i
$317$	−0.536408	+	1.17457i	−0.0301277	+	0.0659704i	−0.924098	−	0.382157i	$-0.875181\pi$
$317$	−0.536408	+	1.17457i	−0.0301277	+	0.0659704i	0.893970	+	0.448127i	$0.147909\pi$
$318$	−0.355076	+	2.46961i	−0.0199117	+	0.138489i
$319$	2.86807	+	1.84320i	0.160581	+	0.103199i
$320$	−0.654861	−	0.755750i	−0.0366078	−	0.0422477i
$321$	−13.4917			−0.753034
$322$	−4.93282	−	6.86107i	−0.274895	−	0.382352i
$323$	4.20056			0.233726
$324$	−0.654861	−	0.755750i	−0.0363812	−	0.0419861i
$325$	5.94778	+	3.82241i	0.329924	+	0.212029i
$326$	−1.42922	+	9.94041i	−0.0791569	+	0.550549i
$327$	−0.502983	+	1.10138i	−0.0278150	+	0.0609064i
$328$	1.68876	+	11.7456i	0.0932464	+	0.648543i
$329$	−3.86692	−	1.13543i	−0.213190	−	0.0625983i
$330$	4.56048	−	2.93084i	0.251046	−	0.161338i
$331$	−7.00179	−	15.3318i	−0.384853	−	0.842712i	−0.998584	−	0.0531960i	$-0.983059\pi$
$331$	−7.00179	−	15.3318i	−0.384853	−	0.842712i	0.613731	−	0.789515i	$-0.289668\pi$
$332$	13.2277	−	3.88400i	0.725963	−	0.213162i
$333$	−2.44170	+	2.81787i	−0.133804	+	0.154418i
$334$	5.64151	−	6.51065i	0.308690	−	0.356247i
$335$	−6.94987	+	2.04067i	−0.379712	+	0.111493i
$336$	0.731962	+	1.60277i	0.0399318	+	0.0874384i
$337$	−25.7677	+	16.5599i	−1.40366	+	0.902076i	−0.999918	−	0.0127977i	$-0.995926\pi$
$337$	−25.7677	+	16.5599i	−1.40366	+	0.902076i	−0.403740	+	0.914874i	$0.632290\pi$
$338$	−35.4887	−	10.4204i	−1.93033	−	0.566796i
$339$	1.01398	+	7.05239i	0.0550719	+	0.383033i
$340$	−1.33560	+	2.92455i	−0.0724329	+	0.158606i
$341$	−8.25515	+	57.4158i	−0.447041	+	3.10924i
$342$	−1.09911	−	0.706355i	−0.0594331	−	0.0381953i
$343$	12.5718	+	14.5086i	0.678812	+	0.783391i
$344$	−1.82743			−0.0985286
$345$	−3.45585	+	3.32522i	−0.186057	+	0.179024i
$346$	2.15330			0.115762
$347$	3.08597	+	3.56140i	0.165664	+	0.191186i	0.832511	−	0.554008i	$-0.186902\pi$
$347$	3.08597	+	3.56140i	0.165664	+	0.191186i	−0.666848	+	0.745194i	$0.732357\pi$
$348$	0.529062	+	0.340007i	0.0283607	+	0.0182263i
$349$	−3.58027	+	24.9013i	−0.191648	+	1.33294i	0.636000	+	0.771689i	$0.280588\pi$
$349$	−3.58027	+	24.9013i	−0.191648	+	1.33294i	−0.827647	+	0.561249i	$0.810321\pi$
$350$	0.731962	−	1.60277i	0.0391250	−	0.0856718i
$351$	−1.00619	−	6.99818i	−0.0537062	−	0.373535i
$352$	−5.20147	−	1.52729i	−0.277239	−	0.0814047i
$353$	11.0518	−	7.10258i	0.588230	−	0.378032i	−0.212408	−	0.977181i	$-0.568131\pi$
$353$	11.0518	−	7.10258i	0.588230	−	0.378032i	0.800638	+	0.599149i	$0.204494\pi$
$354$	2.14951	+	4.70676i	0.114245	+	0.250162i
$355$	11.9711	−	3.51503i	0.635361	−	0.186559i
$356$	−6.11861	+	7.06126i	−0.324286	+	0.374246i
$357$	3.70978	−	4.28132i	0.196343	−	0.226591i
$358$	−16.5467	+	4.85855i	−0.874521	+	0.256782i
$359$	−8.24297	−	18.0496i	−0.435047	−	0.952621i	−0.992481	−	0.122399i	$-0.960941\pi$
$359$	−8.24297	−	18.0496i	−0.435047	−	0.952621i	0.557434	−	0.830222i	$-0.311786\pi$
$360$	0.841254	−	0.540641i	0.0443380	−	0.0284943i
$361$	16.5925	+	4.87201i	0.873291	+	0.256421i
$362$	−1.96296	−	13.6527i	−0.103171	−	0.717568i
$363$	7.63859	−	16.7262i	0.400922	−	0.877897i
$364$	−1.77290	+	12.3308i	−0.0929253	+	0.646310i
$365$	3.63709	+	2.33742i	0.190374	+	0.122346i
$366$	1.67688	+	1.93523i	0.0876521	+	0.101156i
$367$	−31.7752			−1.65865			−0.829327	−	0.558764i	$-0.811276\pi$
$367$	−31.7752			−1.65865			−0.829327	+	0.558764i	$0.811276\pi$
$368$	4.77614	+	0.434202i	0.248973	+	0.0226344i
$369$	−11.8664			−0.617740
$370$	−2.44170	−	2.81787i	−0.126938	−	0.146494i
$371$	3.69832	+	2.37676i	0.192007	+	0.123395i
$372$	−1.52279	+	10.5913i	−0.0789532	+	0.549131i
$373$	−12.8338	+	28.1020i	−0.664507	+	1.45507i	0.213756	+	0.976887i	$0.431430\pi$
$373$	−12.8338	+	28.1020i	−0.664507	+	1.45507i	−0.878262	+	0.478179i	$0.841297\pi$
$374$	2.48043	+	17.2518i	0.128260	+	0.892069i
$375$	−0.959493	−	0.281733i	−0.0495480	−	0.0145486i
$376$	1.92417	−	1.23659i	0.0992317	−	0.0637723i
$377$	1.84710	+	4.04458i	0.0951304	+	0.208306i
$378$	−1.69063	+	0.496413i	−0.0869565	+	0.0255327i
$379$	−1.38169	+	1.59456i	−0.0709729	+	0.0819071i	−0.790126	−	0.612945i	$-0.789985\pi$
$379$	−1.38169	+	1.59456i	−0.0709729	+	0.0819071i	0.719153	+	0.694852i	$0.244530\pi$
$380$	0.855585	−	0.987398i	0.0438906	−	0.0506525i
$381$	3.21992	−	0.945454i	0.164961	−	0.0484371i
$382$	−8.21655	−	17.9917i	−0.420395	−	0.920537i
$383$	21.6197	−	13.8941i	1.10472	−	0.709958i	0.144581	−	0.989493i	$-0.453817\pi$
$383$	21.6197	−	13.8941i	1.10472	−	0.709958i	0.960135	+	0.279535i	$0.0901803\pi$
$384$	−0.959493	−	0.281733i	−0.0489639	−	0.0143771i
$385$	−1.35938	−	9.45469i	−0.0692804	−	0.481856i
$386$	−6.53484	+	14.3093i	−0.332615	+	0.728325i
$387$	0.260071	−	1.80883i	0.0132202	−	0.0919482i
$388$	−6.48438	−	4.16726i	−0.329194	−	0.211560i
$389$	2.63970	+	3.04637i	0.133838	+	0.154457i	0.818712	−	0.574204i	$-0.194688\pi$
$389$	2.63970	+	3.04637i	0.133838	+	0.154457i	−0.684874	+	0.728661i	$0.740143\pi$
$390$	7.07014			0.358011
$391$	−5.10915	−	14.5480i	−0.258381	−	0.735722i
$392$	−3.89535			−0.196745
$393$	8.29052	+	9.56777i	0.418201	+	0.482630i
$394$	−12.0971	−	7.77435i	−0.609444	−	0.391666i
$395$	1.08206	−	7.52590i	0.0544444	−	0.378669i
$396$	2.25199	−	4.93117i	0.113167	−	0.247800i
$397$	2.76384	+	19.2229i	0.138713	+	0.964772i	0.933677	+	0.358115i	$0.116581\pi$
$397$	2.76384	+	19.2229i	0.138713	+	0.964772i	−0.794964	+	0.606656i	$0.792510\pi$
$398$	22.6550	+	6.65212i	1.13559	+	0.333440i
$399$	−1.93663	+	1.24460i	−0.0969530	+	0.0623079i
$400$	0.415415	+	0.909632i	0.0207708	+	0.0454816i
$401$	1.41607	−	0.415795i	0.0707151	−	0.0207638i	−0.246184	−	0.969223i	$-0.579177\pi$
$401$	1.41607	−	0.415795i	0.0707151	−	0.0207638i	0.316899	+	0.948459i	$0.397358\pi$
$402$	−4.74334	+	5.47410i	−0.236576	+	0.273023i
$403$	−49.5414	+	57.1738i	−2.46783	+	2.84803i
$404$	5.46598	−	1.60496i	0.271943	−	0.0798496i
$405$	0.415415	+	0.909632i	0.0206421	+	0.0452000i
$406$	0.932208	−	0.599094i	0.0462647	−	0.0297325i
$407$	−19.3940	−	5.69460i	−0.961327	−	0.282271i
$408$	0.457555	+	3.18237i	0.0226524	+	0.157551i
$409$	−5.24273	+	11.4800i	−0.259236	+	0.567648i	−0.993837	−	0.110851i	$-0.964642\pi$
$409$	−5.24273	+	11.4800i	−0.259236	+	0.567648i	0.734601	+	0.678500i	$0.237370\pi$
$410$	1.68876	−	11.7456i	0.0834021	−	0.580075i
$411$	−15.6984	−	10.0888i	−0.774346	−	0.497642i
$412$	4.44327	+	5.12780i	0.218904	+	0.252629i
$413$	9.11723			0.448629
$414$	−1.10950	+	4.66573i	−0.0545288	+	0.229308i
$415$	−13.7861			−0.676734
$416$	−4.62996	−	5.34326i	−0.227002	−	0.261975i
$417$	3.12488	+	2.00824i	0.153026	+	0.0983439i
$418$	1.00797	−	7.01060i	0.0493015	−	0.342900i
$419$	0.0532856	−	0.116679i	0.00260317	−	0.00570015i	−0.908326	−	0.418263i	$-0.862639\pi$
$419$	0.0532856	−	0.116679i	0.00260317	−	0.00570015i	0.910929	+	0.412563i	$0.135366\pi$
$420$	−0.250759	−	1.74407i	−0.0122358	−	0.0851018i
$421$	−2.95005	−	0.866213i	−0.143777	−	0.0422166i	0.209052	−	0.977904i	$-0.432962\pi$
$421$	−2.95005	−	0.866213i	−0.143777	−	0.0422166i	−0.352829	+	0.935688i	$0.614780\pi$
$422$	5.44374	−	3.49848i	0.264997	−	0.170303i
$423$	0.950166	+	2.08057i	0.0461987	+	0.101161i
$424$	−2.39394	+	0.702923i	−0.116260	+	0.0341370i
$425$	2.10544	−	2.42980i	0.102129	−	0.117863i
$426$	8.17037	−	9.42911i	0.395856	−	0.456842i
$427$	4.32914	−	1.27115i	0.209502	−	0.0615153i
$428$	−5.60466	−	12.2725i	−0.270912	−	0.593214i
$429$	32.2433	−	20.7215i	1.55672	−	1.00044i
$430$	1.75341	+	0.514848i	0.0845569	+	0.0248282i
$431$	−2.57829	−	17.9324i	−0.124192	−	0.863772i	−0.952725	−	0.303833i	$-0.901734\pi$
$431$	−2.57829	−	17.9324i	−0.124192	−	0.863772i	0.828534	−	0.559939i	$-0.189176\pi$
$432$	0.415415	−	0.909632i	0.0199867	−	0.0437647i
$433$	2.51972	−	17.5251i	0.121090	−	0.842201i	−0.835235	−	0.549894i	$-0.814668\pi$
$433$	2.51972	−	17.5251i	0.121090	−	0.842201i	0.956325	−	0.292307i	$-0.0944228\pi$
$434$	15.8608	+	10.1931i	0.761341	+	0.489284i
$435$	−0.411840	−	0.475289i	−0.0197462	−	0.0227883i
$436$	−1.21080			−0.0579866
$437$	0.326540	+	6.25731i	0.0156205	+	0.299328i
$438$	4.32342			0.206581
$439$	6.00570	+	6.93095i	0.286637	+	0.330796i	0.880747	−	0.473587i	$-0.157041\pi$
$439$	6.00570	+	6.93095i	0.286637	+	0.330796i	−0.594110	+	0.804384i	$0.702496\pi$
$440$	4.56048	+	2.93084i	0.217413	+	0.139723i
$441$	0.554366	−	3.85570i	0.0263984	−	0.183605i
$442$	−9.44286	+	20.6770i	−0.449151	+	0.983504i
$443$	−0.100467	−	0.698764i	−0.00477334	−	0.0331993i	0.987296	−	0.158894i	$-0.0507930\pi$
$443$	−0.100467	−	0.698764i	−0.00477334	−	0.0331993i	−0.992069	+	0.125695i	$0.959884\pi$
$444$	−3.57754	−	1.05046i	−0.169782	−	0.0498526i
$445$	7.86015	−	5.05141i	0.372607	−	0.239460i
$446$	2.79343	+	6.11676i	0.132273	+	0.289637i
$447$	−11.7854	+	3.46052i	−0.557432	+	0.163677i
$448$	−1.15387	+	1.33163i	−0.0545150	+	0.0629137i
$449$	−24.6012	+	28.3914i	−1.16100	+	1.33987i	−0.230725	+	0.973019i	$0.574110\pi$
$449$	−24.6012	+	28.3914i	−1.16100	+	1.33987i	−0.930279	+	0.366852i	$0.880436\pi$
$450$	−0.959493	+	0.281733i	−0.0452309	+	0.0132810i
$451$	−26.7230	−	58.5152i	−1.25834	−	2.75537i
$452$	−5.99386	+	3.85202i	−0.281927	+	0.181184i
$453$	0.507150	+	0.148913i	0.0238280	+	0.00699653i
$454$	0.567789	+	3.94906i	0.0266477	+	0.185339i
$455$	5.17508	−	11.3318i	0.242611	−	0.531245i
$456$	0.185936	−	1.29322i	0.00870727	−	0.0605604i
$457$	18.1561	+	11.6682i	0.849305	+	0.545815i	0.891358	−	0.453300i	$-0.149753\pi$
$457$	18.1561	+	11.6682i	0.849305	+	0.545815i	−0.0420527	+	0.999115i	$0.513390\pi$
$458$	12.8405	+	14.8187i	0.599996	+	0.692433i
$459$	−3.21509			−0.150068
$460$	−4.46034	−	1.76221i	−0.207964	−	0.0821633i
$461$	−14.1109			−0.657209			−0.328605	−	0.944468i	$-0.606578\pi$
$461$	−14.1109			−0.657209			−0.328605	+	0.944468i	$0.606578\pi$
$462$	−6.25517	−	7.21885i	−0.291017	−	0.335851i
$463$	28.0264	+	18.0115i	1.30250	+	0.837064i	0.993482	−	0.113993i	$-0.0363640\pi$
$463$	28.0264	+	18.0115i	1.30250	+	0.837064i	0.309016	+	0.951057i	$0.400000\pi$
$464$	−0.0895014	+	0.622496i	−0.00415500	+	0.0288986i
$465$	4.44501	−	9.73322i	0.206133	−	0.451367i
$466$	−3.44439	−	23.9563i	−0.159558	−	1.10975i
$467$	9.66528	+	2.83798i	0.447256	+	0.131326i	0.497602	−	0.867406i	$-0.334214\pi$
$467$	9.66528	+	2.83798i	0.447256	+	0.131326i	−0.0503458	+	0.998732i	$0.516032\pi$
$468$	5.94778	−	3.82241i	0.274936	−	0.176691i
$469$	5.30180	+	11.6093i	0.244814	+	0.536069i
$470$	−2.19462	+	0.644398i	−0.101230	+	0.0297239i
$471$	11.6625	−	13.4592i	0.537380	−	0.620169i
$472$	−3.38848	+	3.91052i	−0.155968	+	0.179996i
$473$	9.50534	−	2.79102i	0.437056	−	0.128331i
$474$	−3.15852	−	6.91620i	−0.145076	−	0.317671i
$475$	−1.09911	+	0.706355i	−0.0504306	+	0.0324098i
$476$	5.43552	+	1.59601i	0.249137	+	0.0731532i
$477$	−0.355076	−	2.46961i	−0.0162578	−	0.113076i
$478$	−11.1963	+	24.5165i	−0.512107	+	1.12136i
$479$	−0.580628	+	4.03836i	−0.0265296	+	0.184517i	−0.998777	−	0.0494367i	$-0.984257\pi$
$479$	−0.580628	+	4.03836i	−0.0265296	+	0.184517i	0.972248	+	0.233954i	$0.0751665\pi$
$480$	0.841254	+	0.540641i	0.0383978	+	0.0246768i
$481$	−17.2631	−	19.9227i	−0.787131	−	0.908398i
$482$	30.4469			1.38682
$483$	6.66599	+	5.19341i	0.303313	+	0.236308i
$484$	18.3879			0.835812
$485$	5.04766	+	5.82531i	0.229203	+	0.264514i
$486$	0.841254	+	0.540641i	0.0381600	+	0.0245240i
$487$	1.84724	−	12.8478i	0.0837062	−	0.582190i	−0.904197	−	0.427116i	$-0.859530\pi$
$487$	1.84724	−	12.8478i	0.0837062	−	0.582190i	0.987903	−	0.155073i	$-0.0495614\pi$
$488$	−1.06374	+	2.32927i	−0.0481533	+	0.105441i
$489$	−1.42922	−	9.94041i	−0.0646314	−	0.449521i
$490$	3.73756	+	1.09745i	0.168846	+	0.0495776i
$491$	−13.8243	+	8.88431i	−0.623880	+	0.400943i	−0.814039	−	0.580810i	$-0.802736\pi$
$491$	−13.8243	+	8.88431i	−0.623880	+	0.400943i	0.190159	+	0.981753i	$0.439100\pi$
$492$	−4.92948	−	10.7941i	−0.222238	−	0.486634i
$493$	1.94006	−	0.569652i	0.0873758	−	0.0256559i
$494$	6.04911	−	6.98105i	0.272162	−	0.314092i
$495$	−3.55004	+	4.09696i	−0.159562	+	0.184145i
$496$	−10.2667	+	3.01459i	−0.460990	+	0.135359i
$497$	−9.13232	−	19.9970i	−0.409641	−	0.896988i
$498$	−11.5976	+	7.45334i	−0.519702	+	0.333992i
$499$	−36.1729	−	10.6213i	−1.61932	−	0.475476i	−0.658486	−	0.752593i	$-0.728803\pi$
$499$	−36.1729	−	10.6213i	−1.61932	−	0.475476i	−0.960836	+	0.277116i	$0.910621\pi$
$500$	−0.142315	−	0.989821i	−0.00636451	−	0.0442662i
$501$	−3.57873	+	7.83632i	−0.159886	+	0.350101i
$502$	2.98847	−	20.7852i	0.133382	−	0.927691i
$503$	−16.7542	−	10.7673i	−0.747033	−	0.480089i	0.110912	−	0.993830i	$-0.464623\pi$
$503$	−16.7542	−	10.7673i	−0.747033	−	0.480089i	−0.857945	+	0.513741i	$0.828259\pi$
$504$	−1.15387	−	1.33163i	−0.0513973	−	0.0593156i
$505$	−5.69674			−0.253501
$506$	−25.5061	+	5.03605i	−1.13388	+	0.223880i
$507$	36.9869			1.64265
$508$	2.19762	+	2.53619i	0.0975035	+	0.112525i
$509$	−20.8070	−	13.3718i	−0.922253	−	0.592696i	−0.00894274	−	0.999960i	$-0.502847\pi$
$509$	−20.8070	−	13.3718i	−0.922253	−	0.592696i	−0.913311	+	0.407264i	$0.866483\pi$
$510$	0.457555	−	3.18237i	0.0202609	−	0.140918i
$511$	3.16458	−	6.92946i	0.139993	−	0.306541i
$512$	−0.142315	−	0.989821i	−0.00628949	−	0.0437443i
$513$	1.25359	+	0.368088i	0.0553474	+	0.0162515i
$514$	19.5998	−	12.5961i	0.864512	−	0.555588i
$515$	−2.81861	−	6.17190i	−0.124203	−	0.271967i
$516$	1.75341	−	0.514848i	0.0771896	−	0.0226649i
$517$	−8.11989	+	9.37086i	−0.357113	+	0.412130i
$518$	−4.30227	+	4.96509i	−0.189031	+	0.218153i
$519$	−2.06608	+	0.606654i	−0.0906906	+	0.0266292i
$520$	2.93704	+	6.43123i	0.128798	+	0.282028i
$521$	26.3384	−	16.9267i	1.15391	−	0.741571i	0.183494	−	0.983021i	$-0.441259\pi$
$521$	26.3384	−	16.9267i	1.15391	−	0.741571i	0.970413	+	0.241450i	$0.0776230\pi$
$522$	−0.603422	−	0.177181i	−0.0264111	−	0.00775499i
$523$	−2.79886	−	19.4665i	−0.122386	−	0.851212i	−0.954841	−	0.297119i	$-0.903974\pi$
$523$	−2.79886	−	19.4665i	−0.122386	−	0.851212i	0.832455	−	0.554093i	$-0.186935\pi$
$524$	−5.25914	+	11.5159i	−0.229747	+	0.503075i
$525$	−0.250759	+	1.74407i	−0.0109440	+	0.0761173i
$526$	14.9143	+	9.58481i	0.650293	+	0.417918i
$527$	22.5285	+	25.9993i	0.981359	+	1.13255i
$528$	5.42106			0.235921
$529$	21.2740	−	8.74169i	0.924956	−	0.380073i
$530$	2.49500			0.108376
$531$	−3.38848	−	3.91052i	−0.147048	−	0.169702i
$532$	−1.93663	−	1.24460i	−0.0839637	−	0.0539602i
$533$	11.9398	−	83.0432i	0.517170	−	3.59700i
$534$	3.88138	−	8.49904i	0.167964	−	0.367789i
$535$	1.92007	+	13.3544i	0.0830119	+	0.577361i
$536$	−6.94987	−	2.04067i	−0.300189	−	0.0881433i
$537$	14.5076	−	9.32349i	0.626051	−	0.402338i
$538$	−1.83819	−	4.02507i	−0.0792499	−	0.173533i
$539$	20.2615	−	5.94932i	0.872726	−	0.256255i
$540$	−0.654861	+	0.755750i	−0.0281807	+	0.0325223i
$541$	23.2832	−	26.8702i	1.00102	−	1.15524i	0.0131593	−	0.999913i	$-0.495811\pi$
$541$	23.2832	−	26.8702i	1.00102	−	1.15524i	0.987863	−	0.155328i	$-0.0496434\pi$
$542$	−4.56470	+	1.34032i	−0.196071	+	0.0575715i
$543$	5.72984	+	12.5466i	0.245891	+	0.538426i
$544$	−2.70471	+	1.73821i	−0.115963	+	0.0745251i
$545$	1.16175	+	0.341121i	0.0497639	+	0.0146120i
$546$	−1.77290	−	12.3308i	−0.0758732	−	0.527710i
$547$	−13.7375	+	30.0810i	−0.587375	+	1.28617i	0.349641	+	0.936884i	$0.386304\pi$
$547$	−13.7375	+	30.0810i	−0.587375	+	1.28617i	−0.937016	+	0.349287i	$0.886424\pi$
$548$	2.65570	−	18.4708i	0.113446	−	0.789034i
$549$	−2.15417	−	1.38440i	−0.0919379	−	0.0590849i
$550$	−3.55004	−	4.09696i	−0.151374	−	0.174695i
$551$	−0.821663			−0.0350040
$552$	−4.70500	+	0.928979i	−0.200258	+	0.0395400i
$553$	−13.3970			−0.569699
$554$	−17.0367	−	19.6614i	−0.723819	−	0.835332i
$555$	3.13667	+	2.01582i	0.133144	+	0.0855667i
$556$	−0.528636	+	3.67674i	−0.0224192	+	0.155929i
$557$	−12.9337	+	28.3208i	−0.548018	+	1.19999i	0.409684	+	0.912228i	$0.365639\pi$
$557$	−12.9337	+	28.3208i	−0.548018	+	1.19999i	−0.957701	+	0.287764i	$0.907088\pi$
$558$	−1.52279	−	10.5913i	−0.0644650	−	0.448364i
$559$	12.3969	+	3.64005i	0.524331	+	0.153958i
$560$	1.48229	−	0.952610i	0.0626382	−	0.0402551i
$561$	−7.24035	−	15.8542i	−0.305688	−	0.669363i
$562$	24.5188	−	7.19937i	1.03426	−	0.303687i
$563$	−7.62932	+	8.80471i	−0.321538	+	0.371074i	−0.893390	−	0.449283i	$-0.851680\pi$
$563$	−7.62932	+	8.80471i	−0.321538	+	0.371074i	0.571852	+	0.820357i	$0.306225\pi$
$564$	−1.49784	+	1.72860i	−0.0630706	+	0.0727873i
$565$	6.83630	−	2.00732i	0.287605	−	0.0844486i
$566$	−2.49712	−	5.46794i	−0.104962	−	0.229835i
$567$	1.48229	−	0.952610i	0.0622503	−	0.0400059i
$568$	11.9711	+	3.51503i	0.502297	+	0.147488i
$569$	−3.85715	−	26.8271i	−0.161700	−	1.12465i	−0.895428	−	0.445206i	$-0.853130\pi$
$569$	−3.85715	−	26.8271i	−0.161700	−	1.12465i	0.733728	−	0.679444i	$-0.237779\pi$
$570$	−0.542746	+	1.18845i	−0.0227331	+	0.0497786i
$571$	−2.75086	+	19.1326i	−0.115120	+	0.800675i	0.847689	+	0.530493i	$0.177993\pi$
$571$	−2.75086	+	19.1326i	−0.115120	+	0.800675i	−0.962809	+	0.270183i	$0.912916\pi$
$572$	32.2433	+	20.7215i	1.34816	+	0.866409i
$573$	12.9526	+	14.9481i	0.541102	+	0.624465i
$574$	−20.9086			−0.872709
$575$	3.78319	+	2.94745i	0.157770	+	0.122917i
$576$	1.00000			0.0416667
$577$	−4.44315	−	5.12767i	−0.184971	−	0.213468i	0.655689	−	0.755031i	$-0.272378\pi$
$577$	−4.44315	−	5.12767i	−0.184971	−	0.213468i	−0.840660	+	0.541563i	$0.817833\pi$
$578$	−5.60543	−	3.60239i	−0.233155	−	0.149840i
$579$	2.23874	−	15.5708i	0.0930388	−	0.647099i
$580$	0.261253	−	0.572065i	0.0108480	−	0.0237537i
$581$	3.45699	+	24.0439i	0.143420	+	0.997509i
$582$	7.39577	+	2.17159i	0.306564	+	0.0900154i
$583$	11.3784	−	7.31246i	0.471246	−	0.302851i
$584$	1.79601	+	3.93272i	0.0743195	+	0.162737i
$585$	−6.78375	+	1.99189i	−0.280474	+	0.0823545i
$586$	−4.39867	+	5.07633i	−0.181707	+	0.209701i
$587$	−4.88843	+	5.64155i	−0.201767	+	0.232852i	−0.847611	−	0.530618i	$-0.821960\pi$
$587$	−4.88843	+	5.64155i	−0.201767	+	0.232852i	0.645844	+	0.763469i	$0.276505\pi$
$588$	3.73756	−	1.09745i	0.154134	−	0.0452579i
$589$	−5.80748	−	12.7166i	−0.239293	−	0.523978i
$590$	4.35295	−	2.79747i	0.179208	−	0.115170i
$591$	13.7974	+	4.05128i	0.567549	+	0.166647i
$592$	−0.530631	−	3.69062i	−0.0218088	−	0.151684i
$593$	−4.35957	+	9.54614i	−0.179026	+	0.392013i	−0.977777	−	0.209650i	$-0.932768\pi$
$593$	−4.35957	+	9.54614i	−0.179026	+	0.392013i	0.798750	+	0.601663i	$0.205495\pi$
$594$	−0.771497	+	5.36588i	−0.0316549	+	0.220165i
$595$	−4.76570	−	3.06273i	−0.195375	−	0.125560i
$596$	−8.04364	−	9.28286i	−0.329480	−	0.380241i
$597$	−23.6115			−0.966353
$598$	−31.5352	−	12.4591i	−1.28957	−	0.509489i
$599$	28.2867			1.15576			0.577881	−	0.816121i	$-0.303880\pi$
$599$	28.2867			1.15576			0.577881	+	0.816121i	$0.303880\pi$
$600$	−0.654861	−	0.755750i	−0.0267346	−	0.0308533i
$601$	−16.8647	−	10.8383i	−0.687926	−	0.442103i	0.149422	−	0.988774i	$-0.452259\pi$
$601$	−16.8647	−	10.8383i	−0.687926	−	0.442103i	−0.837348	+	0.546670i	$0.815895\pi$
$602$	0.458245	−	3.18717i	0.0186767	−	0.129899i
$603$	3.00896	−	6.58871i	0.122535	−	0.268313i
$604$	0.0752220	+	0.523180i	0.00306074	+	0.0212879i
$605$	−17.6430	−	5.18046i	−0.717291	−	0.210616i
$606$	−4.79240	+	3.07989i	−0.194678	+	0.125112i
$607$	14.5900	+	31.9477i	0.592190	+	1.29672i	0.934109	+	0.356987i	$0.116196\pi$
$607$	14.5900	+	31.9477i	0.592190	+	1.29672i	−0.341919	+	0.939729i	$0.611077\pi$
$608$	1.25359	−	0.368088i	0.0508399	−	0.0149279i
$609$	−0.725663	+	0.837459i	−0.0294053	+	0.0339356i
$610$	1.67688	−	1.93523i	0.0678950	−	0.0783550i
$611$	−15.5163	+	4.55599i	−0.627721	+	0.184316i
$612$	−1.33560	−	2.92455i	−0.0539883	−	0.118218i
$613$	2.16448	−	1.39103i	0.0874226	−	0.0561831i	−0.496199	−	0.868209i	$-0.665271\pi$
$613$	2.16448	−	1.39103i	0.0874226	−	0.0561831i	0.583622	+	0.812026i	$0.301635\pi$
$614$	−8.65020	−	2.53993i	−0.349094	−	0.102503i
$615$	1.68876	+	11.7456i	0.0680976	+	0.473629i
$616$	3.96801	−	8.68873i	0.159876	−	0.350079i
$617$	−3.47238	+	24.1509i	−0.139793	+	0.972280i	0.792318	+	0.610108i	$0.208874\pi$
$617$	−3.47238	+	24.1509i	−0.139793	+	0.972280i	−0.932111	+	0.362172i	$0.882035\pi$
$618$	−5.70795	−	3.66828i	−0.229608	−	0.147560i
$619$	−25.7904	−	29.7637i	−1.03660	−	1.19631i	−0.980223	−	0.197896i	$-0.936589\pi$
$619$	−25.7904	−	29.7637i	−1.03660	−	1.19631i	−0.0563811	−	0.998409i	$-0.517956\pi$
$620$	10.7002			0.429729
$621$	−0.249932	−	4.78931i	−0.0100294	−	0.192189i
$622$	4.39341			0.176160
$623$	−10.7810	−	12.4419i	−0.431932	−	0.498476i
$624$	5.94778	+	3.82241i	0.238102	+	0.153019i
$625$	−0.142315	+	0.989821i	−0.00569259	+	0.0395929i
$626$	5.86386	−	12.8401i	0.234367	−	0.513192i
$627$	1.00797	+	7.01060i	0.0402545	+	0.279976i
$628$	17.0877	+	5.01741i	0.681875	+	0.200217i
$629$	−10.0847	+	6.48104i	−0.402103	+	0.258416i
$630$	0.731962	+	1.60277i	0.0291621	+	0.0638560i
$631$	−2.39514	+	0.703276i	−0.0953489	+	0.0279970i	−0.329059	−	0.944309i	$-0.606732\pi$
$631$	−2.39514	+	0.703276i	−0.0953489	+	0.0279970i	0.233710	+	0.972306i	$0.424913\pi$
$632$	4.97910	−	5.74618i	0.198058	−	0.228571i
$633$	−4.23760	+	4.89045i	−0.168429	+	0.194378i
$634$	1.23895	−	0.363790i	0.0492051	−	0.0144479i
$635$	−1.39407	−	3.05259i	−0.0553221	−	0.121138i
$636$	2.09893	−	1.34890i	0.0832279	−	0.0534874i
$637$	26.4251	+	7.75911i	1.04700	+	0.307427i
$638$	−0.485192	−	3.37459i	−0.0192089	−	0.133601i
$639$	−5.18292	+	11.3490i	−0.205033	+	0.448960i
$640$	−0.142315	+	0.989821i	−0.00562549	+	0.0391261i
$641$	0.965042	+	0.620195i	0.0381169	+	0.0244962i	0.559560	−	0.828790i	$-0.310970\pi$
$641$	0.965042	+	0.620195i	0.0381169	+	0.0244962i	−0.521444	+	0.853286i	$0.674606\pi$
$642$	8.83520	+	10.1964i	0.348697	+	0.402418i
$643$	−16.9331			−0.667775			−0.333888	−	0.942613i	$-0.608361\pi$
$643$	−16.9331			−0.667775			−0.333888	+	0.942613i	$0.608361\pi$
$644$	−1.95494	+	8.22102i	−0.0770353	+	0.323954i
$645$	−1.82743			−0.0719551
$646$	−2.75078	−	3.17457i	−0.108228	−	0.124902i
$647$	27.3979	+	17.6075i	1.07712	+	0.692224i	0.953891	−	0.300154i	$-0.0970382\pi$
$647$	27.3979	+	17.6075i	1.07712	+	0.692224i	0.123231	+	0.992378i	$0.460675\pi$
$648$	−0.142315	+	0.989821i	−0.00559065	+	0.0388839i
$649$	11.6526	−	25.5156i	0.457404	−	1.00158i
$650$	−1.00619	−	6.99818i	−0.0394659	−	0.274491i
$651$	−18.0900	−	5.31171i	−0.709004	−	0.208182i
$652$	8.44840	−	5.42946i	0.330865	−	0.212634i
$653$	10.6832	+	23.3931i	0.418068	+	0.915441i	0.995114	+	0.0987295i	$0.0314779\pi$
$653$	10.6832	+	23.3931i	0.418068	+	0.915441i	−0.577046	+	0.816711i	$0.695795\pi$
$654$	1.16175	−	0.341121i	0.0454280	−	0.0133389i
$655$	8.29052	−	9.56777i	0.323937	−	0.373844i
$656$	7.77084	−	8.96803i	0.303400	−	0.350143i
$657$	−4.14829	+	1.21805i	−0.161840	+	0.0475205i
$658$	1.67419	+	3.66597i	0.0652669	+	0.142915i
$659$	−33.9256	+	21.8026i	−1.32155	+	0.849310i	−0.995381	−	0.0960011i	$-0.969395\pi$
$659$	−33.9256	+	21.8026i	−1.32155	+	0.849310i	−0.326171	+	0.945311i	$0.605758\pi$
$660$	−5.20147	−	1.52729i	−0.202467	−	0.0594496i
$661$	−0.583257	−	4.05664i	−0.0226861	−	0.157785i	0.975329	−	0.220755i	$-0.0708520\pi$
$661$	−0.583257	−	4.05664i	−0.0226861	−	0.157785i	−0.998015	+	0.0629696i	$0.979943\pi$
$662$	−7.00179	+	15.3318i	−0.272132	+	0.595887i
$663$	3.23498	−	22.4998i	0.125636	−	0.873819i
$664$	−11.5976	−	7.45334i	−0.450075	−	0.289246i
$665$	1.50754	+	1.73980i	0.0584600	+	0.0674664i
$666$	3.72857			0.144479
$667$	0.999389	+	2.84570i	0.0386965	+	0.110186i
$668$	−8.61483			−0.333318
$669$	−4.40357	−	5.08199i	−0.170252	−	0.196481i
$670$	6.09343	+	3.91601i	0.235410	+	0.151289i
$671$	1.97555	−	13.7403i	0.0762653	−	0.530437i
$672$	0.731962	−	1.60277i	0.0282360	−	0.0618283i
$673$	−2.45975	−	17.1079i	−0.0948163	−	0.659462i	−0.980695	−	0.195545i	$-0.937353\pi$
$673$	−2.45975	−	17.1079i	−0.0948163	−	0.659462i	0.885878	−	0.463917i	$-0.153557\pi$
$674$	29.3894	+	8.62951i	1.13204	+	0.332396i
$675$	0.841254	−	0.540641i	0.0323799	−	0.0208093i
$676$	15.3649	+	33.6445i	0.590959	+	1.29402i
$677$	−12.1624	+	3.57120i	−0.467439	+	0.137252i	−0.506966	−	0.861966i	$-0.669233\pi$
$677$	−12.1624	+	3.57120i	−0.467439	+	0.137252i	0.0395272	+	0.999218i	$0.487415\pi$
$678$	4.66583	−	5.38465i	0.179190	−	0.206796i
$679$	8.89399	−	10.2642i	0.341320	−	0.393904i
$680$	3.08486	−	0.905796i	0.118299	−	0.0347357i
$681$	−1.65737	−	3.62913i	−0.0635105	−	0.139069i
$682$	48.7980	−	31.3605i	1.86857	−	1.20086i
$683$	−38.2150	−	11.2209i	−1.46226	−	0.429358i	−0.548684	−	0.836030i	$-0.684871\pi$
$683$	−38.2150	−	11.2209i	−1.46226	−	0.429358i	−0.913574	+	0.406672i	$0.866689\pi$
$684$	0.185936	+	1.29322i	0.00710946	+	0.0494474i
$685$	−7.75196	+	16.9744i	−0.296187	+	0.648559i
$686$	2.73211	−	19.0022i	0.104312	−	0.725508i
$687$	−16.4953	−	10.6009i	−0.629333	−	0.404448i
$688$	1.19671	+	1.38108i	0.0456243	+	0.0526533i
$689$	17.6400			0.672031
$690$	4.77614	+	0.434202i	0.181824	+	0.0165298i
$691$	48.3964			1.84109			0.920543	−	0.390642i	$-0.127747\pi$
$691$	48.3964			1.84109			0.920543	+	0.390642i	$0.127747\pi$
$692$	−1.41011	−	1.62735i	−0.0536044	−	0.0618627i
$693$	8.03558	+	5.16415i	0.305246	+	0.196170i
$694$	0.670645	−	4.66444i	0.0254573	−	0.177060i
$695$	1.54308	−	3.37888i	0.0585324	−	0.128168i
$696$	−0.0895014	−	0.622496i	−0.00339254	−	0.0235956i
$697$	−36.6061	−	10.7485i	−1.38656	−	0.407130i
$698$	21.1638	−	13.6011i	0.801060	−	0.514810i
$699$	10.0541	+	22.0155i	0.380282	+	0.832701i
$700$	−1.69063	+	0.496413i	−0.0638997	+	0.0187627i
$701$	−7.02407	+	8.10621i	−0.265295	+	0.306167i	−0.872731	−	0.488202i	$-0.837653\pi$
$701$	−7.02407	+	8.10621i	−0.265295	+	0.306167i	0.607435	+	0.794369i	$0.292198\pi$
$702$	−4.62996	+	5.34326i	−0.174747	+	0.201668i
$703$	4.67411	−	1.37244i	0.176287	−	0.0517626i
$704$	2.25199	+	4.93117i	0.0848750	+	0.185850i
$705$	1.92417	−	1.23659i	0.0724686	−	0.0465727i
$706$	−12.6052	−	3.70122i	−0.474402	−	0.139297i
$707$	1.42851	+	9.93549i	0.0537246	+	0.373663i
$708$	2.14951	−	4.70676i	0.0807834	−	0.176891i
$709$	−0.997773	+	6.93967i	−0.0374722	+	0.260625i	−0.999942	−	0.0107638i	$-0.996574\pi$
$709$	−0.997773	+	6.93967i	−0.0374722	+	0.260625i	0.962470	+	0.271388i	$0.0874828\pi$
$710$	−10.4959	−	6.74530i	−0.393904	−	0.253147i
$711$	4.97910	+	5.74618i	0.186731	+	0.215499i
$712$	9.34338			0.350158
$713$	−36.9782	+	35.5804i	−1.38484	+	1.33250i
$714$	−5.66500			−0.212007
$715$	−25.0993	−	28.9661i	−0.938660	−	1.08327i
$716$	14.5076	+	9.32349i	0.542176	+	0.348435i
$717$	3.83568	−	26.6777i	0.143246	−	0.996298i
$718$	−8.24297	+	18.0496i	−0.307625	+	0.673605i
$719$	0.860871	+	5.98749i	0.0321051	+	0.223296i	0.999557	−	0.0297587i	$-0.00947390\pi$
$719$	0.860871	+	5.98749i	0.0321051	+	0.223296i	−0.967452	+	0.253054i	$0.918565\pi$
$720$	−0.959493	−	0.281733i	−0.0357582	−	0.0104996i
$721$	−10.0574	+	6.46351i	−0.374558	+	0.240714i
$722$	−7.18378	−	15.7303i	−0.267353	−	0.585421i
$723$	−29.2136	+	8.57788i	−1.08646	+	0.319015i
$724$	−9.03253	+	10.4241i	−0.335691	+	0.387408i
$725$	−0.411840	+	0.475289i	−0.0152954	+	0.0176518i
$726$	−17.6430	+	5.18046i	−0.654794	+	0.192265i
$727$	7.69703	+	16.8541i	0.285467	+	0.625086i	0.996986	−	0.0775811i	$-0.0247197\pi$
$727$	7.69703	+	16.8541i	0.285467	+	0.625086i	−0.711519	+	0.702667i	$0.751992\pi$
$728$	10.4800	−	6.73509i	0.388415	−	0.249619i
$729$	−0.959493	−	0.281733i	−0.0355368	−	0.0104345i
$730$	−0.615286	−	4.27941i	−0.0227728	−	0.158388i
$731$	2.44072	−	5.34442i	0.0902731	−	0.197671i
$732$	0.364422	−	2.53461i	0.0134694	−	0.0936818i
$733$	−3.20868	−	2.06209i	−0.118515	−	0.0761652i	0.480040	−	0.877246i	$-0.340622\pi$
$733$	−3.20868	−	2.06209i	−0.118515	−	0.0761652i	−0.598556	+	0.801081i	$0.704258\pi$
$734$	20.8084	+	24.0141i	0.768050	+	0.886377i
$735$	−3.89535			−0.143682
$736$	−2.79956	−	3.89390i	−0.103193	−	0.143531i
$737$	39.2662			1.44639
$738$	7.77084	+	8.96803i	0.286049	+	0.330118i
$739$	42.5479	+	27.3439i	1.56515	+	1.00586i	0.980952	+	0.194251i	$0.0622278\pi$
$739$	42.5479	+	27.3439i	1.56515	+	1.00586i	0.584199	+	0.811610i	$0.301409\pi$
$740$	−0.530631	+	3.69062i	−0.0195064	+	0.135670i
$741$	−3.83729	+	8.40250i	−0.140966	+	0.308673i
$742$	−0.625644	−	4.35145i	−0.0229681	−	0.159747i
$743$	21.3152	+	6.25871i	0.781979	+	0.229610i	0.648270	−	0.761411i	$-0.275493\pi$
$743$	21.3152	+	6.25871i	0.781979	+	0.229610i	0.133709	+	0.991021i	$0.457311\pi$
$744$	9.00156	−	5.78495i	0.330013	−	0.212087i
$745$	5.10254	+	11.1730i	0.186942	+	0.409347i
$746$	29.6424	−	8.70379i	1.08529	−	0.318668i
$747$	9.02799	−	10.4189i	0.330317	−	0.381206i
$748$	11.4137	−	13.1721i	0.417326	−	0.481620i
$749$	22.8095	−	6.69747i	0.833440	−	0.244720i
$750$	0.415415	+	0.909632i	0.0151688	+	0.0332151i
$751$	15.1715	−	9.75013i	0.553616	−	0.355787i	−0.233727	−	0.972302i	$-0.575092\pi$
$751$	15.1715	−	9.75013i	0.553616	−	0.355787i	0.787343	+	0.616515i	$0.211456\pi$
$752$	−2.19462	−	0.644398i	−0.0800295	−	0.0234988i
$753$	2.98847	+	20.7852i	0.108906	+	0.757456i
$754$	1.84710	−	4.04458i	0.0672673	−	0.147295i
$755$	0.0752220	−	0.523180i	0.00273761	−	0.0190405i
$756$	1.48229	+	0.952610i	0.0539104	+	0.0346461i
$757$	−19.9245	−	22.9941i	−0.724170	−	0.835737i	0.267632	−	0.963521i	$-0.413759\pi$
$757$	−19.9245	−	22.9941i	−0.724170	−	0.835737i	−0.991802	+	0.127785i	$0.959213\pi$
$758$	2.10991			0.0766352
$759$	23.0541	−	12.0179i	0.836810	−	0.436224i
$760$	−1.30651			−0.0473923
$761$	−20.1068	−	23.2045i	−0.728871	−	0.841162i	0.263473	−	0.964667i	$-0.415132\pi$
$761$	−20.1068	−	23.2045i	−0.728871	−	0.841162i	−0.992344	+	0.123505i	$0.960586\pi$
$762$	−2.82312	−	1.81431i	−0.102271	−	0.0657256i
$763$	0.303618	−	2.11171i	0.0109917	−	0.0764490i
$764$	−8.21655	+	17.9917i	−0.297264	+	0.650918i
$765$	0.457555	+	3.18237i	0.0165429	+	0.115059i
$766$	−24.6584	−	7.24036i	−0.890944	−	0.261605i
$767$	30.7760	−	19.7785i	1.11126	−	0.714160i
$768$	0.415415	+	0.909632i	0.0149900	+	0.0328235i
$769$	−39.2909	+	11.5368i	−1.41686	+	0.416029i	−0.898441	−	0.439095i	$-0.855299\pi$
$769$	−39.2909	+	11.5368i	−1.41686	+	0.416029i	−0.518424	+	0.855124i	$0.673481\pi$
$770$	−6.25517	+	7.21885i	−0.225421	+	0.260149i
$771$	−15.2572	+	17.6077i	−0.549474	+	0.634127i
$772$	15.0937	−	4.43190i	0.543233	−	0.159508i
$773$	−4.66615	−	10.2174i	−0.167830	−	0.367496i	0.806965	−	0.590599i	$-0.201109\pi$
$773$	−4.66615	−	10.2174i	−0.167830	−	0.367496i	−0.974795	+	0.223103i	$0.928381\pi$
$774$	−1.53734	+	0.987985i	−0.0552584	+	0.0355124i
$775$	−10.2667	−	3.01459i	−0.368792	−	0.108287i
$776$	1.09696	+	7.62954i	0.0393786	+	0.273884i
$777$	2.72917	−	5.97606i	0.0979085	−	0.214390i
$778$	0.573661	−	3.98990i	0.0205667	−	0.143045i
$779$	13.0425	+	8.38189i	0.467295	+	0.300312i
$780$	−4.62996	−	5.34326i	−0.165779	−	0.191319i
$781$	−67.6358			−2.42020
$782$	−7.64884	+	13.3881i	−0.273522	+	0.478758i
$783$	0.628897			0.0224749
$784$	2.55091	+	2.94391i	0.0911040	+	0.105140i
$785$	−14.9820	−	9.62834i	−0.534730	−	0.343650i
$786$	1.80170	−	12.5311i	0.0642646	−	0.446970i
$787$	12.4952	−	27.3607i	0.445406	−	0.975302i	−0.545169	−	0.838326i	$-0.683534\pi$
$787$	12.4952	−	27.3607i	0.445406	−	0.975302i	0.990574	−	0.136976i	$-0.0437383\pi$
$788$	2.04647	+	14.2335i	0.0729025	+	0.507048i
$789$	−17.0105	−	4.99473i	−0.605589	−	0.177817i
$790$	−6.39630	+	4.11065i	−0.227570	+	0.146250i
$791$	−5.21517	−	11.4196i	−0.185430	−	0.406035i
$792$	−5.20147	+	1.52729i	−0.184826	+	0.0542698i
$793$	11.8558	−	13.6823i	0.421012	−	0.485874i
$794$	12.7178	−	14.6771i	0.451338	−	0.520872i
$795$	−2.39394	+	0.702923i	−0.0849042	+	0.0249301i
$796$	−9.80855	−	21.4777i	−0.347655	−	0.761258i
$797$	25.6931	−	16.5119i	0.910096	−	0.584883i	0.000327904	−	1.00000i	$-0.499896\pi$
$797$	25.6931	−	16.5119i	0.910096	−	0.584883i	0.909768	+	0.415117i	$0.136259\pi$
$798$	2.20883	+	0.648571i	0.0781918	+	0.0229592i
$799$	1.04655	+	7.27893i	0.0370244	+	0.257510i
$800$	0.415415	−	0.909632i	0.0146871	−	0.0321603i
$801$	−1.32970	+	9.24828i	−0.0469827	+	0.326772i
$802$	−1.24156	−	0.797905i	−0.0438412	−	0.0281750i
$803$	−15.3483	−	17.7129i	−0.541629	−	0.625074i
$804$	7.24327			0.255451
$805$	4.19188	−	7.33724i	0.147744	−	0.258604i
$806$	75.6518			2.66472
$807$	2.89772	+	3.34415i	0.102005	+	0.117720i
$808$	−4.79240	−	3.07989i	−0.168596	−	0.108350i
$809$	−2.63177	+	18.3044i	−0.0925282	+	0.643548i	0.889796	+	0.456359i	$0.150847\pi$
$809$	−2.63177	+	18.3044i	−0.0925282	+	0.643548i	−0.982324	+	0.187189i	$0.940062\pi$
$810$	0.415415	−	0.909632i	0.0145962	−	0.0319612i
$811$	3.28409	+	22.8413i	0.115320	+	0.802067i	0.962601	+	0.270923i	$0.0873288\pi$
$811$	3.28409	+	22.8413i	0.115320	+	0.802067i	−0.847281	+	0.531145i	$0.821762\pi$
$812$	−1.06323	−	0.312193i	−0.0373121	−	0.0109558i
$813$	4.00218	−	2.57205i	0.140363	−	0.0902056i
$814$	8.39670	+	18.3862i	0.294304	+	0.644436i
$815$	−9.63584	+	2.82934i	−0.337529	+	0.0991073i
$816$	2.10544	−	2.42980i	0.0737050	−	0.0850601i
$817$	−1.56353	+	1.80440i	−0.0547008	+	0.0631281i
$818$	12.1092	−	3.55560i	0.423390	−	0.124318i
$819$	5.17508	+	11.3318i	0.180832	+	0.395966i
$820$	−9.98265	+	6.41546i	−0.348609	+	0.224038i
$821$	−26.1051	−	7.66516i	−0.911075	−	0.267516i	−0.207582	−	0.978218i	$-0.566559\pi$
$821$	−26.1051	−	7.66516i	−0.911075	−	0.267516i	−0.703493	+	0.710702i	$0.748378\pi$
$822$	2.65570	+	18.4708i	0.0926282	+	0.644244i
$823$	−12.5374	+	27.4532i	−0.437028	+	0.956957i	0.555107	+	0.831779i	$0.312677\pi$
$823$	−12.5374	+	27.4532i	−0.437028	+	0.956957i	−0.992134	+	0.125178i	$0.960050\pi$
$824$	0.965614	−	6.71599i	0.0336388	−	0.233963i
$825$	4.56048	+	2.93084i	0.158776	+	0.102039i
$826$	−5.97051	−	6.89034i	−0.207741	−	0.239746i
$827$	13.2638			0.461227			0.230613	−	0.973045i	$-0.425927\pi$
$827$	13.2638			0.461227			0.230613	+	0.973045i	$0.425927\pi$
$828$	4.25269	−	2.21690i	0.147791	−	0.0770426i
$829$	−9.89324			−0.343606			−0.171803	−	0.985131i	$-0.554959\pi$
$829$	−9.89324			−0.343606			−0.171803	+	0.985131i	$0.554959\pi$
$830$	9.02799	+	10.4189i	0.313366	+	0.361644i
$831$	21.8858	+	14.0652i	0.759211	+	0.487915i
$832$	−1.00619	+	6.99818i	−0.0348832	+	0.242618i
$833$	5.20262	−	11.3921i	0.180260	−	0.394714i
$834$	−0.528636	−	3.67674i	−0.0183052	−	0.127315i
$835$	8.26587	+	2.42708i	0.286052	+	0.0839925i
$836$	−5.95834	+	3.82919i	−0.206074	+	0.132435i
$837$	4.44501	+	9.73322i	0.153642	+	0.336429i
$838$	−0.123075	+	0.0361381i	−0.00425155	+	0.00124837i
$839$	−36.4331	+	42.0461i	−1.25781	+	1.45159i	−0.418243	+	0.908335i	$0.637354\pi$
$839$	−36.4331	+	42.0461i	−1.25781	+	1.45159i	−0.839567	+	0.543256i	$0.817191\pi$
$840$	−1.15387	+	1.33163i	−0.0398122	+	0.0459457i
$841$	27.4458	−	8.05882i	0.946407	−	0.277890i
$842$	1.27723	+	2.79675i	0.0440163	+	0.0963823i
$843$	−21.4973	+	13.8155i	−0.740407	+	0.475831i
$844$	−6.20887	−	1.82309i	−0.213718	−	0.0627533i
$845$	−5.26379	−	36.6104i	−0.181080	−	1.25944i
$846$	0.950166	−	2.08057i	0.0326674	−	0.0715316i
$847$	−4.61092	+	32.0697i	−0.158433	+	1.10193i
$848$	2.09893	+	1.34890i	0.0720775	+	0.0463214i
$849$	3.93647	+	4.54293i	0.135099	+	0.155913i
$850$	−3.21509			−0.110277
$851$	−10.4383	−	14.5187i	−0.357822	−	0.497695i
$852$	−12.4765			−0.427438
$853$	17.1105	+	19.7465i	0.585851	+	0.676108i	0.968852	−	0.247640i	$-0.0796549\pi$
$853$	17.1105	+	19.7465i	0.585851	+	0.676108i	−0.383001	+	0.923748i	$0.625109\pi$
$854$	−3.79566	−	2.43932i	−0.129885	−	0.0834719i
$855$	0.185936	−	1.29322i	0.00635889	−	0.0442271i
$856$	−5.60466	+	12.2725i	−0.191563	+	0.419465i
$857$	−2.28865	−	15.9179i	−0.0781788	−	0.543745i	−0.990841	−	0.135031i	$-0.956886\pi$
$857$	−2.28865	−	15.9179i	−0.0781788	−	0.543745i	0.912663	−	0.408714i	$-0.134023\pi$
$858$	−36.7751	−	10.7981i	−1.25548	−	0.368643i
$859$	−7.70482	+	4.95159i	−0.262885	+	0.168946i	−0.665443	−	0.746448i	$-0.731757\pi$
$859$	−7.70482	+	4.95159i	−0.262885	+	0.168946i	0.402558	+	0.915394i	$0.368121\pi$
$860$	−0.759143	−	1.66229i	−0.0258866	−	0.0566837i
$861$	20.0617	−	5.89064i	0.683700	−	0.200752i
$862$	−11.8640	+	13.6917i	−0.404088	+	0.466343i
$863$	−24.3793	+	28.1353i	−0.829882	+	0.957735i	−0.999615	−	0.0277550i	$-0.991164\pi$
$863$	−24.3793	+	28.1353i	−0.829882	+	0.957735i	0.169733	+	0.985490i	$0.445710\pi$
$864$	−0.959493	+	0.281733i	−0.0326426	+	0.00958474i
$865$	0.894513	+	1.95871i	0.0304143	+	0.0665981i
$866$	−14.8946	+	9.57219i	−0.506140	+	0.325276i
$867$	6.39328	+	1.87724i	0.217127	+	0.0637543i
$868$	−2.68316	−	18.6618i	−0.0910725	−	0.633423i
$869$	−17.1225	+	37.4931i	−0.580842	+	1.27187i
$870$	−0.0895014	+	0.622496i	−0.00303438	+	0.0211046i
$871$	43.0814	+	27.6867i	1.45976	+	0.938130i
$872$	0.792903	+	0.915059i	0.0268511	+	0.0309878i
$873$	−7.70799			−0.260876
$874$	4.51512	−	4.34445i	0.152726	−	0.146953i
$875$	1.76200			0.0595665
$876$	−2.83124	−	3.26742i	−0.0956586	−	0.110396i
$877$	12.3010	+	7.90540i	0.415377	+	0.266946i	0.731594	−	0.681740i	$-0.238777\pi$
$877$	12.3010	+	7.90540i	0.415377	+	0.266946i	−0.316217	+	0.948687i	$0.602413\pi$
$878$	1.30516	−	9.07762i	0.0440472	−	0.306355i
$879$	2.79032	−	6.10995i	0.0941153	−	0.206084i
$880$	−0.771497	−	5.36588i	−0.0260072	−	0.180884i
$881$	−6.11959	−	1.79687i	−0.206174	−	0.0605382i	0.177015	−	0.984208i	$-0.443356\pi$
$881$	−6.11959	−	1.79687i	−0.206174	−	0.0605382i	−0.383189	+	0.923670i	$0.625174\pi$
$882$	−3.27698	+	2.10599i	−0.110342	+	0.0709122i
$883$	15.7700	+	34.5315i	0.530703	+	1.16208i	0.965226	+	0.261417i	$0.0841899\pi$
$883$	15.7700	+	34.5315i	0.530703	+	1.16208i	−0.434522	+	0.900661i	$0.643083\pi$
$884$	21.8104	−	6.40411i	0.733563	−	0.215393i
$885$	−3.38848	+	3.91052i	−0.113903	+	0.131451i
$886$	−0.462299	+	0.533521i	−0.0155312	+	0.0179240i
$887$	2.45252	−	0.720126i	0.0823477	−	0.0241795i	−0.240299	−	0.970699i	$-0.577246\pi$
$887$	2.45252	−	0.720126i	0.0823477	−	0.0241795i	0.322647	+	0.946519i	$0.395427\pi$
$888$	1.54890	+	3.39163i	0.0519778	+	0.113816i
$889$	−4.97435	+	3.19682i	−0.166834	+	0.107218i
$890$	−8.96491	−	2.63234i	−0.300504	−	0.0882361i
$891$	−0.771497	−	5.36588i	−0.0258461	−	0.179764i
$892$	2.79343	−	6.11676i	0.0935310	−	0.204804i
$893$	0.425287	−	2.95794i	0.0142317	−	0.0989835i
$894$	10.3331	+	6.64068i	0.345591	+	0.222098i
$895$	−11.2932	−	13.0331i	−0.377492	−	0.435648i
$896$	1.76200			0.0588643
$897$	33.7680	+	3.06987i	1.12748	+	0.102500i
$898$	37.5671			1.25363
$899$	−4.40676	−	5.08567i	−0.146974	−	0.169617i
$900$	0.841254	+	0.540641i	0.0280418	+	0.0180214i
$901$	1.14160	−	7.94001i	0.0380322	−	0.264520i
$902$	−26.7230	+	58.5152i	−0.889778	+	1.94834i
$903$	0.458245	+	3.18717i	0.0152495	+	0.106062i
$904$	6.83630	+	2.00732i	0.227372	+	0.0667625i
$905$	11.6035	−	7.45709i	0.385712	−	0.247882i
$906$	−0.219572	−	0.480795i	−0.00729479	−	0.0159734i
$907$	−17.7950	+	5.22508i	−0.590873	+	0.173496i	−0.563481	−	0.826129i	$-0.690538\pi$
$907$	−17.7950	+	5.22508i	−0.590873	+	0.173496i	−0.0273915	+	0.999625i	$0.508720\pi$
$908$	2.61268	−	3.01519i	0.0867047	−	0.100063i
$909$	3.73057	−	4.30531i	0.123735	−	0.142798i
$910$	−11.9530	+	3.50971i	−0.396238	+	0.116346i
$911$	−10.5103	−	23.0143i	−0.348222	−	0.762499i	−0.999992	−	0.00408229i	$-0.998701\pi$
$911$	−10.5103	−	23.0143i	−0.348222	−	0.762499i	0.651770	−	0.758417i	$-0.274027\pi$
$912$	−1.09911	+	0.706355i	−0.0363952	+	0.0233898i
$913$	71.7080	+	21.0554i	2.37319	+	0.696831i
$914$	−3.07146	−	21.3625i	−0.101595	−	0.706608i
$915$	−1.06374	+	2.32927i	−0.0351662	+	0.0770032i
$916$	2.79050	−	19.4084i	0.0922008	−	0.641271i
$917$	−18.7658	−	12.0600i	−0.619700	−	0.398257i
$918$	2.10544	+	2.42980i	0.0694898	+	0.0801955i
$919$	30.7004			1.01271			0.506356	−	0.862324i	$-0.330992\pi$
$919$	30.7004			1.01271			0.506356	+	0.862324i	$0.330992\pi$
$920$	1.58911	+	4.52490i	0.0523915	+	0.149182i
$921$	9.01539			0.297067
$922$	9.24066	+	10.6643i	0.304325	+	0.351210i
$923$	−74.2075	−	47.6903i	−2.44257	−	1.56974i
$924$	−1.35938	+	9.45469i	−0.0447203	+	0.311036i
$925$	1.54890	−	3.39163i	0.0509277	−	0.111516i
$926$	−4.74123	−	32.9760i	−0.155806	−	1.08366i
$927$	6.51021	+	1.91157i	0.213823	+	0.0627842i
$928$	0.529062	−	0.340007i	0.0173673	−	0.0111613i
$929$	−15.5199	−	33.9839i	−0.509192	−	1.11497i	−0.973371	−	0.229234i	$-0.926378\pi$
$929$	−15.5199	−	33.9839i	−0.509192	−	1.11497i	0.464179	−	0.885741i	$-0.346349\pi$
$930$	−10.2667	+	3.01459i	−0.336660	+	0.0988522i
$931$	−3.33280	+	3.84626i	−0.109228	+	0.126056i
$932$	−15.8493	+	18.2911i	−0.519162	+	0.599145i
$933$	−4.21545	+	1.23777i	−0.138008	+	0.0405227i
$934$	−4.18461	−	9.16301i	−0.136925	−	0.299823i
$935$	−14.6624	+	9.42293i	−0.479511	+	0.308163i
$936$	−6.78375	−	1.99189i	−0.221734	−	0.0651069i
$937$	5.60604	+	38.9909i	0.183141	+	1.27378i	0.849278	+	0.527946i	$0.177038\pi$
$937$	5.60604	+	38.9909i	0.183141	+	1.27378i	−0.666137	+	0.745830i	$0.732053\pi$
$938$	5.30180	−	11.6093i	0.173110	−	0.379058i
$939$	−2.00887	+	13.9720i	−0.0655570	+	0.455959i
$940$	1.92417	+	1.23659i	0.0627596	+	0.0403332i
$941$	−30.5089	−	35.2091i	−0.994560	−	1.14778i	−0.989017	−	0.147799i	$-0.952781\pi$
$941$	−30.5089	−	35.2091i	−0.994560	−	1.14778i	−0.00554270	−	0.999985i	$-0.501764\pi$
$942$	−17.8091			−0.580253
$943$	13.1657	−	55.3654i	0.428735	−	1.80294i
$944$	5.17436			0.168411
$945$	−1.15387	−	1.33163i	−0.0375353	−	0.0433180i
$946$	−8.33398	−	5.35593i	−0.270961	−	0.174136i
$947$	2.00115	−	13.9183i	0.0650285	−	0.452283i	−0.931128	−	0.364693i	$-0.881174\pi$
$947$	2.00115	−	13.9183i	0.0650285	−	0.452283i	0.996157	−	0.0875909i	$-0.0279168\pi$
$948$	−3.15852	+	6.91620i	−0.102584	+	0.224628i
$949$	−4.35016	−	30.2560i	−0.141212	−	0.982153i
$950$	1.25359	+	0.368088i	0.0406719	+	0.0119423i
$951$	−1.08628	+	0.698107i	−0.0352249	+	0.0226377i
$952$	−2.35332	−	5.15306i	−0.0762717	−	0.167012i
$953$	−1.48063	+	0.434753i	−0.0479624	+	0.0140830i	−0.305626	−	0.952152i	$-0.598866\pi$
$953$	−1.48063	+	0.434753i	−0.0479624	+	0.0140830i	0.257663	+	0.966235i	$0.417047\pi$
$954$	−1.63388	+	1.88560i	−0.0528988	+	0.0610484i
$955$	12.9526	−	14.9481i	0.419136	−	0.483708i
$956$	25.8603	−	7.59328i	0.836383	−	0.245584i
$957$	1.41627	+	3.10120i	0.0457815	+	0.100247i
$958$	3.43222	−	2.20575i	0.110890	−	0.0712646i
$959$	31.5484	+	9.26345i	1.01875	+	0.299132i
$960$	−0.142315	−	0.989821i	−0.00459319	−	0.0319463i
$961$	34.6845	−	75.9485i	1.11886	−	2.44995i
$962$	−3.75164	+	26.0932i	−0.120958	+	0.841279i
$963$	−11.3500	−	7.29417i	−0.365747	−	0.235051i
$964$	−19.9385	−	23.0102i	−0.642175	−	0.741110i
$965$	−15.7309			−0.506395
$966$	−0.440381	−	8.43878i	−0.0141690	−	0.271513i
$967$	18.3476			0.590018			0.295009	−	0.955495i	$-0.404677\pi$
$967$	18.3476			0.590018			0.295009	+	0.955495i	$0.404677\pi$
$968$	−12.0415	−	13.8966i	−0.387028	−	0.446654i
$969$	3.53374	+	2.27100i	0.113520	+	0.0729549i
$970$	1.09696	−	7.62954i	0.0352213	−	0.244970i
$971$	−14.3692	+	31.4642i	−0.461130	+	1.00973i	0.526098	+	0.850424i	$0.323654\pi$
$971$	−14.3692	+	31.4642i	−0.461130	+	1.00973i	−0.987228	+	0.159311i	$0.949073\pi$
$972$	−0.142315	−	0.989821i	−0.00456475	−	0.0317485i
$973$	−6.27993	−	1.84395i	−0.201325	−	0.0591144i
$974$	−10.9194	+	7.01747i	−0.349880	+	0.224854i
$975$	2.93704	+	6.43123i	0.0940607	+	0.205964i
$976$	2.45695	−	0.721424i	0.0786449	−	0.0230922i
$977$	−5.60855	+	6.47261i	−0.179433	+	0.207077i	−0.838340	−	0.545147i	$-0.816474\pi$
$977$	−5.60855	+	6.47261i	−0.179433	+	0.207077i	0.658907	+	0.752225i	$0.271019\pi$
$978$	−6.57653	+	7.58972i	−0.210294	+	0.242692i
$979$	−48.5993	+	14.2700i	−1.55324	+	0.456072i
$980$	−1.61819	−	3.54333i	−0.0516911	−	0.113188i
$981$	−1.01859	+	0.654606i	−0.0325210	+	0.0209000i
$982$	15.7673	+	4.62969i	0.503154	+	0.147739i
$983$	−1.96492	−	13.6663i	−0.0626711	−	0.435887i	−0.996865	−	0.0791214i	$-0.974789\pi$
$983$	−1.96492	−	13.6663i	−0.0626711	−	0.435887i	0.934194	−	0.356766i	$-0.116121\pi$
$984$	−4.92948	+	10.7941i	−0.157146	+	0.344102i
$985$	2.04647	−	14.2335i	0.0652059	−	0.453517i
$986$	−1.70098	−	1.09315i	−0.0541703	−	0.0348131i
$987$	−2.63920	−	3.04580i	−0.0840067	−	0.0969489i
$988$	−9.23725			−0.293876
$989$	8.15098	+	3.22032i	0.259186	+	0.102400i
$990$	5.42106			0.172293
$991$	33.9045	+	39.1278i	1.07701	+	1.24294i	0.968545	+	0.248837i	$0.0800482\pi$
$991$	33.9045	+	39.1278i	1.07701	+	1.24294i	0.108465	+	0.994100i	$0.465406\pi$
$992$	9.00156	+	5.78495i	0.285800	+	0.183672i
$993$	2.39871	−	16.6834i	0.0761207	−	0.529431i
$994$	−9.13232	+	19.9970i	−0.289660	+	0.634266i
$995$	3.36026	+	23.3711i	0.106527	+	0.740914i
$996$	13.2277	+	3.88400i	0.419135	+	0.123069i
$997$	−0.190086	+	0.122161i	−0.00602008	+	0.00386887i	−0.543647	−	0.839314i	$-0.682957\pi$
$997$	−0.190086	+	0.122161i	−0.00602008	+	0.00386887i	0.537627	+	0.843183i	$0.319321\pi$
$998$	15.6612	+	34.2932i	0.495746	+	1.08553i
$999$	−3.57754	+	1.05046i	−0.113188	+	0.0332351i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	690.2.m.g.151.2	✓	30
23.16	even	11	inner	690.2.m.g.361.2	yes	30

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
690.2.m.g.151.2	✓	30	1.1	even	1	trivial
690.2.m.g.361.2	yes	30	23.16	even	11	inner

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:	\( N \)	\(=\)	\( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	690.m (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.654861 - 0.755750i) q^{2} +(0.841254 + 0.540641i) q^{3} +(-0.142315 + 0.989821i) q^{4} +(0.415415 - 0.909632i) q^{5} +(-0.142315 - 0.989821i) q^{6} +(-1.69063 - 0.496413i) q^{7} +(0.841254 - 0.540641i) q^{8} +(0.415415 + 0.909632i) q^{9} +O(q^{10})\)	\(q+(-0.654861 - 0.755750i) q^{2} +(0.841254 + 0.540641i) q^{3} +(-0.142315 + 0.989821i) q^{4} +(0.415415 - 0.909632i) q^{5} +(-0.142315 - 0.989821i) q^{6} +(-1.69063 - 0.496413i) q^{7} +(0.841254 - 0.540641i) q^{8} +(0.415415 + 0.909632i) q^{9} +(-0.959493 + 0.281733i) q^{10} +(-3.55004 + 4.09696i) q^{11} +(-0.654861 + 0.755750i) q^{12} +(-6.78375 + 1.99189i) q^{13} +(0.731962 + 1.60277i) q^{14} +(0.841254 - 0.540641i) q^{15} +(-0.959493 - 0.281733i) q^{16} +(0.457555 + 3.18237i) q^{17} +(0.415415 - 0.909632i) q^{18} +(0.185936 - 1.29322i) q^{19} +(0.841254 + 0.540641i) q^{20} +(-1.15387 - 1.33163i) q^{21} +5.42106 q^{22} +(-4.70500 + 0.928979i) q^{23} +1.00000 q^{24} +(-0.654861 - 0.755750i) q^{25} +(5.94778 + 3.82241i) q^{26} +(-0.142315 + 0.989821i) q^{27} +(0.731962 - 1.60277i) q^{28} +(-0.0895014 - 0.622496i) q^{29} +(-0.959493 - 0.281733i) q^{30} +(9.00156 - 5.78495i) q^{31} +(0.415415 + 0.909632i) q^{32} +(-5.20147 + 1.52729i) q^{33} +(2.10544 - 2.42980i) q^{34} +(-1.15387 + 1.33163i) q^{35} +(-0.959493 + 0.281733i) q^{36} +(1.54890 + 3.39163i) q^{37} +(-1.09911 + 0.706355i) q^{38} +(-6.78375 - 1.99189i) q^{39} +(-0.142315 - 0.989821i) q^{40} +(-4.92948 + 10.7941i) q^{41} +(-0.250759 + 1.74407i) q^{42} +(-1.53734 - 0.987985i) q^{43} +(-3.55004 - 4.09696i) q^{44} +1.00000 q^{45} +(3.78319 + 2.94745i) q^{46} +2.28727 q^{47} +(-0.654861 - 0.755750i) q^{48} +(-3.27698 - 2.10599i) q^{49} +(-0.142315 + 0.989821i) q^{50} +(-1.33560 + 2.92455i) q^{51} +(-1.00619 - 6.99818i) q^{52} +(-2.39394 - 0.702923i) q^{53} +(0.841254 - 0.540641i) q^{54} +(2.25199 + 4.93117i) q^{55} +(-1.69063 + 0.496413i) q^{56} +(0.855585 - 0.987398i) q^{57} +(-0.411840 + 0.475289i) q^{58} +(-4.96476 + 1.45779i) q^{59} +(0.415415 + 0.909632i) q^{60} +(-2.15417 + 1.38440i) q^{61} +(-10.2667 - 3.01459i) q^{62} +(-0.250759 - 1.74407i) q^{63} +(0.415415 - 0.909632i) q^{64} +(-1.00619 + 6.99818i) q^{65} +(4.56048 + 2.93084i) q^{66} +(-4.74334 - 5.47410i) q^{67} -3.21509 q^{68} +(-4.46034 - 1.76221i) q^{69} +1.76200 q^{70} +(8.17037 + 9.42911i) q^{71} +(0.841254 + 0.540641i) q^{72} +(-0.615286 + 4.27941i) q^{73} +(1.54890 - 3.39163i) q^{74} +(-0.142315 - 0.989821i) q^{75} +(1.25359 + 0.368088i) q^{76} +(8.03558 - 5.16415i) q^{77} +(2.93704 + 6.43123i) q^{78} +(7.29530 - 2.14209i) q^{79} +(-0.654861 + 0.755750i) q^{80} +(-0.654861 + 0.755750i) q^{81} +(11.3857 - 3.34315i) q^{82} +(-5.72696 - 12.5403i) q^{83} +(1.48229 - 0.952610i) q^{84} +(3.08486 + 0.905796i) q^{85} +(0.260071 + 1.80883i) q^{86} +(0.261253 - 0.572065i) q^{87} +(-0.771497 + 5.36588i) q^{88} +(7.86015 + 5.05141i) q^{89} +(-0.654861 - 0.755750i) q^{90} +12.4576 q^{91} +(-0.249932 - 4.78931i) q^{92} +10.7002 q^{93} +(-1.49784 - 1.72860i) q^{94} +(-1.09911 - 0.706355i) q^{95} +(-0.142315 + 0.989821i) q^{96} +(-3.20202 + 7.01144i) q^{97} +(0.554366 + 3.85570i) q^{98} +(-5.20147 - 1.52729i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 30 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 3 q^{5} - 3 q^{6} - 8 q^{7} - 3 q^{8} - 3 q^{9}+O(q^{10}) \) 30 * q - 3 * q^2 - 3 * q^3 - 3 * q^4 - 3 * q^5 - 3 * q^6 - 8 * q^7 - 3 * q^8 - 3 * q^9	\( 30 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 3 q^{5} - 3 q^{6} - 8 q^{7} - 3 q^{8} - 3 q^{9} - 3 q^{10} + 8 q^{11} - 3 q^{12} - 5 q^{13} - 8 q^{14} - 3 q^{15} - 3 q^{16} + 4 q^{17} - 3 q^{18} + 6 q^{19} - 3 q^{20} + 3 q^{21} + 8 q^{22} + q^{23} + 30 q^{24} - 3 q^{25} - 5 q^{26} - 3 q^{27} - 8 q^{28} - 10 q^{29} - 3 q^{30} - 10 q^{31} - 3 q^{32} - 14 q^{33} - 7 q^{34} + 3 q^{35} - 3 q^{36} - 12 q^{37} - 5 q^{38} - 5 q^{39} - 3 q^{40} + 5 q^{41} + 3 q^{42} + 2 q^{43} + 8 q^{44} + 30 q^{45} - 21 q^{46} + 96 q^{47} - 3 q^{48} - 43 q^{49} - 3 q^{50} + 15 q^{51} - 16 q^{52} + 12 q^{53} - 3 q^{54} + 8 q^{55} - 8 q^{56} + 17 q^{57} + q^{58} - 9 q^{59} - 3 q^{60} + q^{61} - 32 q^{62} + 3 q^{63} - 3 q^{64} - 16 q^{65} - 3 q^{66} - 28 q^{67} + 4 q^{68} + 23 q^{69} + 14 q^{70} + 3 q^{71} - 3 q^{72} - 27 q^{73} - 12 q^{74} - 3 q^{75} - 16 q^{76} + 47 q^{77} + 6 q^{78} + 2 q^{79} - 3 q^{80} - 3 q^{81} + 27 q^{82} + 11 q^{83} + 3 q^{84} - 7 q^{85} + 2 q^{86} - 32 q^{87} - 3 q^{88} + 25 q^{89} - 3 q^{90} - 90 q^{91} - 10 q^{92} + 56 q^{93} - 25 q^{94} - 5 q^{95} - 3 q^{96} - 7 q^{97} - 32 q^{98} - 14 q^{99}+O(q^{100}) \) 30 * q - 3 * q^2 - 3 * q^3 - 3 * q^4 - 3 * q^5 - 3 * q^6 - 8 * q^7 - 3 * q^8 - 3 * q^9 - 3 * q^10 + 8 * q^11 - 3 * q^12 - 5 * q^13 - 8 * q^14 - 3 * q^15 - 3 * q^16 + 4 * q^17 - 3 * q^18 + 6 * q^19 - 3 * q^20 + 3 * q^21 + 8 * q^22 + q^23 + 30 * q^24 - 3 * q^25 - 5 * q^26 - 3 * q^27 - 8 * q^28 - 10 * q^29 - 3 * q^30 - 10 * q^31 - 3 * q^32 - 14 * q^33 - 7 * q^34 + 3 * q^35 - 3 * q^36 - 12 * q^37 - 5 * q^38 - 5 * q^39 - 3 * q^40 + 5 * q^41 + 3 * q^42 + 2 * q^43 + 8 * q^44 + 30 * q^45 - 21 * q^46 + 96 * q^47 - 3 * q^48 - 43 * q^49 - 3 * q^50 + 15 * q^51 - 16 * q^52 + 12 * q^53 - 3 * q^54 + 8 * q^55 - 8 * q^56 + 17 * q^57 + q^58 - 9 * q^59 - 3 * q^60 + q^61 - 32 * q^62 + 3 * q^63 - 3 * q^64 - 16 * q^65 - 3 * q^66 - 28 * q^67 + 4 * q^68 + 23 * q^69 + 14 * q^70 + 3 * q^71 - 3 * q^72 - 27 * q^73 - 12 * q^74 - 3 * q^75 - 16 * q^76 + 47 * q^77 + 6 * q^78 + 2 * q^79 - 3 * q^80 - 3 * q^81 + 27 * q^82 + 11 * q^83 + 3 * q^84 - 7 * q^85 + 2 * q^86 - 32 * q^87 - 3 * q^88 + 25 * q^89 - 3 * q^90 - 90 * q^91 - 10 * q^92 + 56 * q^93 - 25 * q^94 - 5 * q^95 - 3 * q^96 - 7 * q^97 - 32 * q^98 - 14 * q^99

Introduction

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