LMFDB - Embedded newform 605.2.k.b.56.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [605,2,Mod(56,605)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(605, base_ring=CyclotomicField(22))

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

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

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

chi := DirichletCharacter("605.56");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 605 = 5 \cdot 11^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	605.k (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:	$4.83094932229$
Analytic rank:	$0$
Dimension:	$220$
Relative dimension:	$22$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			56.10
Character	$\chi$	$=$	605.56
Dual form			605.2.k.b.551.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.309263 - 0.0908078i) q^{2} +1.15033 q^{3} +(-1.59511 - 1.02511i) q^{4} +(0.654861 - 0.755750i) q^{5} +(-0.355754 - 0.104459i) q^{6} +(-1.76485 + 3.86448i) q^{7} +(0.822368 + 0.949063i) q^{8} -1.67674 q^{9} +O(q^{10})$	\(q+(-0.309263 - 0.0908078i) q^{2} +1.15033 q^{3} +(-1.59511 - 1.02511i) q^{4} +(0.654861 - 0.755750i) q^{5} +(-0.355754 - 0.104459i) q^{6} +(-1.76485 + 3.86448i) q^{7} +(0.822368 + 0.949063i) q^{8} -1.67674 q^{9} +(-0.271152 + 0.174259i) q^{10} +(-1.13133 - 3.11771i) q^{11} +(-1.83490 - 1.17922i) q^{12} +(-3.08833 - 1.98475i) q^{13} +(0.896728 - 1.03488i) q^{14} +(0.753306 - 0.869361i) q^{15} +(1.40720 + 3.08134i) q^{16} +(-0.921442 - 6.40877i) q^{17} +(0.518554 + 0.152261i) q^{18} +(0.00870202 - 0.0605239i) q^{19} +(-1.81930 + 0.534196i) q^{20} +(-2.03016 + 4.44543i) q^{21} +(0.0667674 + 1.06692i) q^{22} +(-3.93416 - 8.61460i) q^{23} +(0.945994 + 1.09174i) q^{24} +(-0.142315 - 0.989821i) q^{25} +(0.774876 + 0.894254i) q^{26} -5.37979 q^{27} +(6.77667 - 4.35510i) q^{28} +(-1.02568 + 7.13378i) q^{29} +(-0.311914 + 0.200455i) q^{30} +(-0.0169204 + 0.0108741i) q^{31} +(-0.512820 - 3.56674i) q^{32} +(-1.30141 - 3.58639i) q^{33} +(-0.296998 + 2.06567i) q^{34} +(1.76485 + 3.86448i) q^{35} +(2.67459 + 1.71885i) q^{36} +(-8.54369 + 5.49070i) q^{37} +(-0.00818725 + 0.0179276i) q^{38} +(-3.55260 - 2.28312i) q^{39} +1.25579 q^{40} +(1.93166 + 0.567185i) q^{41} +(1.03153 - 1.19045i) q^{42} +(6.82201 + 7.87302i) q^{43} +(-1.39141 + 6.13283i) q^{44} +(-1.09803 + 1.26720i) q^{45} +(0.434416 + 3.02143i) q^{46} +(-10.5225 + 3.08969i) q^{47} +(1.61874 + 3.54455i) q^{48} +(-7.23551 - 8.35023i) q^{49} +(-0.0458708 + 0.319038i) q^{50} +(-1.05996 - 7.37220i) q^{51} +(2.89163 + 6.33179i) q^{52} +(2.18515 - 4.78482i) q^{53} +(1.66377 + 0.488527i) q^{54} +(-3.09707 - 1.18666i) q^{55} +(-5.11900 + 1.50307i) q^{56} +(0.0100102 - 0.0696224i) q^{57} +(0.965008 - 2.11307i) q^{58} +(8.09166 - 2.37593i) q^{59} +(-2.09280 + 0.614502i) q^{60} +(0.285015 - 0.0836880i) q^{61} +(0.00622029 - 0.00182644i) q^{62} +(2.95920 - 6.47974i) q^{63} +(0.798879 - 5.55632i) q^{64} +(-3.52240 + 1.03427i) q^{65} +(0.0768046 + 1.22731i) q^{66} +(10.5897 + 3.10940i) q^{67} +(-5.09992 + 11.1673i) q^{68} +(-4.52558 - 9.90963i) q^{69} +(-0.194878 - 1.35540i) q^{70} +(1.34317 - 9.34193i) q^{71} +(-1.37890 - 1.59133i) q^{72} +(-0.373872 - 0.818666i) q^{73} +(3.14084 - 0.922235i) q^{74} +(-0.163709 - 1.13862i) q^{75} +(-0.0759246 + 0.0876217i) q^{76} +(14.0450 + 1.13027i) q^{77} +(0.891362 + 1.02869i) q^{78} +(3.25695 - 3.75872i) q^{79} +(3.25024 + 0.954357i) q^{80} -1.15831 q^{81} +(-0.545884 - 0.350819i) q^{82} +(3.05644 - 6.69266i) q^{83} +(7.79540 - 5.00980i) q^{84} +(-5.44684 - 3.50047i) q^{85} +(-1.39486 - 3.05432i) q^{86} +(-1.17987 + 8.20620i) q^{87} +(2.02853 - 3.63761i) q^{88} +(1.27955 + 8.89945i) q^{89} +(0.454652 - 0.292187i) q^{90} +(13.1205 - 8.43202i) q^{91} +(-2.55554 + 17.7742i) q^{92} +(-0.0194640 + 0.0125088i) q^{93} +3.53479 q^{94} +(-0.0400423 - 0.0462113i) q^{95} +(-0.589913 - 4.10293i) q^{96} +(-5.69504 - 6.57243i) q^{97} +(1.47941 + 3.23946i) q^{98} +(1.89695 + 5.22759i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 220 q - 2 q^{2} - 24 q^{4} + 22 q^{5} + 8 q^{6} + 4 q^{7} - 6 q^{8} + 212 q^{9}+O(q^{10}) $ 220 * q - 2 * q^2 - 24 * q^4 + 22 * q^5 + 8 * q^6 + 4 * q^7 - 6 * q^8 + 212 * q^9	\( 220 q - 2 q^{2} - 24 q^{4} + 22 q^{5} + 8 q^{6} + 4 q^{7} - 6 q^{8} + 212 q^{9} + 2 q^{10} - 2 q^{11} + 49 q^{12} + 8 q^{13} - 40 q^{14} + 11 q^{15} - 28 q^{16} - 8 q^{17} - 10 q^{18} + 24 q^{20} - 22 q^{21} - 79 q^{22} - 31 q^{23} - 36 q^{24} - 22 q^{25} - 6 q^{26} - 6 q^{27} + 4 q^{28} - 4 q^{29} - 19 q^{30} + 20 q^{31} - 104 q^{32} - 12 q^{34} - 4 q^{35} - 30 q^{36} - 93 q^{37} + 8 q^{38} + 16 q^{39} + 6 q^{40} - 12 q^{41} - 8 q^{42} - 43 q^{43} + 9 q^{44} + 30 q^{45} - 124 q^{46} - 42 q^{47} - 158 q^{48} - 38 q^{49} - 2 q^{50} + 27 q^{51} + 146 q^{52} + 74 q^{53} + 93 q^{54} + 2 q^{55} + 25 q^{56} - 55 q^{57} + 26 q^{58} + 10 q^{59} - 16 q^{60} - 4 q^{61} - 33 q^{62} + 20 q^{63} + 32 q^{64} - 8 q^{65} - 69 q^{66} - 47 q^{67} - 24 q^{68} - 82 q^{69} - 15 q^{70} + 2 q^{71} - 294 q^{72} + 30 q^{73} - 112 q^{74} + 132 q^{76} + 136 q^{77} - 115 q^{78} + 58 q^{79} + 28 q^{80} + 220 q^{81} + 32 q^{82} - 164 q^{83} - 32 q^{84} + 41 q^{85} - 34 q^{86} - 76 q^{87} + 115 q^{88} - 44 q^{89} + 54 q^{90} - 60 q^{91} + 140 q^{92} - 68 q^{93} - 74 q^{94} - 44 q^{95} + 140 q^{96} - 39 q^{97} + 182 q^{98} - 274 q^{99}+O(q^{100}) \) 220 * q - 2 * q^2 - 24 * q^4 + 22 * q^5 + 8 * q^6 + 4 * q^7 - 6 * q^8 + 212 * q^9 + 2 * q^10 - 2 * q^11 + 49 * q^12 + 8 * q^13 - 40 * q^14 + 11 * q^15 - 28 * q^16 - 8 * q^17 - 10 * q^18 + 24 * q^20 - 22 * q^21 - 79 * q^22 - 31 * q^23 - 36 * q^24 - 22 * q^25 - 6 * q^26 - 6 * q^27 + 4 * q^28 - 4 * q^29 - 19 * q^30 + 20 * q^31 - 104 * q^32 - 12 * q^34 - 4 * q^35 - 30 * q^36 - 93 * q^37 + 8 * q^38 + 16 * q^39 + 6 * q^40 - 12 * q^41 - 8 * q^42 - 43 * q^43 + 9 * q^44 + 30 * q^45 - 124 * q^46 - 42 * q^47 - 158 * q^48 - 38 * q^49 - 2 * q^50 + 27 * q^51 + 146 * q^52 + 74 * q^53 + 93 * q^54 + 2 * q^55 + 25 * q^56 - 55 * q^57 + 26 * q^58 + 10 * q^59 - 16 * q^60 - 4 * q^61 - 33 * q^62 + 20 * q^63 + 32 * q^64 - 8 * q^65 - 69 * q^66 - 47 * q^67 - 24 * q^68 - 82 * q^69 - 15 * q^70 + 2 * q^71 - 294 * q^72 + 30 * q^73 - 112 * q^74 + 132 * q^76 + 136 * q^77 - 115 * q^78 + 58 * q^79 + 28 * q^80 + 220 * q^81 + 32 * q^82 - 164 * q^83 - 32 * q^84 + 41 * q^85 - 34 * q^86 - 76 * q^87 + 115 * q^88 - 44 * q^89 + 54 * q^90 - 60 * q^91 + 140 * q^92 - 68 * q^93 - 74 * q^94 - 44 * q^95 + 140 * q^96 - 39 * q^97 + 182 * q^98 - 274 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/605\mathbb{Z}\right)^\times$.

$n$	$122$	$486$
$\chi(n)$	$1$	$e\left(\frac{1}{11}\right)$

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 $

$2$	−0.309263	−	0.0908078i	−0.218682	−	0.0642108i	0.170556	−	0.985348i	$-0.445444\pi$
$2$	−0.309263	−	0.0908078i	−0.218682	−	0.0642108i	−0.389238	+	0.921137i	$0.627262\pi$
$3$	1.15033			0.664143			0.332072	−	0.943254i	$-0.392252\pi$
$3$	1.15033			0.664143			0.332072	+	0.943254i	$0.392252\pi$
$4$	−1.59511	−	1.02511i	−0.797555	−	0.512557i
$5$	0.654861	−	0.755750i	0.292863	−	0.337981i
$5$	0.654861	−	0.755750i	0.292863	−	0.337981i
$6$	−0.355754	−	0.104459i	−0.145236	−	0.0426452i
$7$	−1.76485	+	3.86448i	−0.667051	+	1.46064i	0.208752	+	0.977969i	$0.433060\pi$
$7$	−1.76485	+	3.86448i	−0.667051	+	1.46064i	−0.875803	+	0.482669i	$0.839667\pi$
$8$	0.822368	+	0.949063i	0.290751	+	0.335545i
$9$	−1.67674			−0.558914
$10$	−0.271152	+	0.174259i	−0.0857458	+	0.0551055i
$11$	−1.13133	−	3.11771i	−0.341110	−	0.940023i
$11$	−1.13133	−	3.11771i	−0.341110	−	0.940023i
$12$	−1.83490	−	1.17922i	−0.529691	−	0.340411i
$13$	−3.08833	−	1.98475i	−0.856549	−	0.550471i	0.0370617	−	0.999313i	$-0.488200\pi$
$13$	−3.08833	−	1.98475i	−0.856549	−	0.550471i	−0.893611	+	0.448842i	$0.851837\pi$
$14$	0.896728	−	1.03488i	0.239661	−	0.276583i
$15$	0.753306	−	0.869361i	0.194503	−	0.224468i
$16$	1.40720	+	3.08134i	0.351800	+	0.770335i
$17$	−0.921442	−	6.40877i	−0.223483	−	1.55436i	−0.724719	−	0.689045i	$-0.758030\pi$
$17$	−0.921442	−	6.40877i	−0.223483	−	1.55436i	0.501236	−	0.865311i	$-0.332879\pi$
$18$	0.518554	+	0.152261i	0.122224	+	0.0358883i
$19$	0.00870202	−	0.0605239i	0.00199638	−	0.0138851i	−0.988799	−	0.149254i	$-0.952313\pi$
$19$	0.00870202	−	0.0605239i	0.00199638	−	0.0138851i	0.990795	+	0.135369i	$0.0432219\pi$
$20$	−1.81930	+	0.534196i	−0.406809	+	0.119450i
$21$	−2.03016	+	4.44543i	−0.443017	+	0.970072i
$22$	0.0667674	+	1.06692i	0.0142349	+	0.227469i
$23$	−3.93416	−	8.61460i	−0.820328	−	1.79627i	−0.554335	−	0.832294i	$-0.687027\pi$
$23$	−3.93416	−	8.61460i	−0.820328	−	1.79627i	−0.265994	−	0.963975i	$-0.585700\pi$
$24$	0.945994	+	1.09174i	0.193100	+	0.222850i
$25$	−0.142315	−	0.989821i	−0.0284630	−	0.197964i
$26$	0.774876	+	0.894254i	0.151966	+	0.175378i
$27$	−5.37979			−1.03534
$28$	6.77667	−	4.35510i	1.28067	−	0.823037i
$29$	−1.02568	+	7.13378i	−0.190464	+	1.32471i	0.640317	+	0.768111i	$0.278803\pi$
$29$	−1.02568	+	7.13378i	−0.190464	+	1.32471i	−0.830781	+	0.556599i	$0.812106\pi$
$30$	−0.311914	+	0.200455i	−0.0569475	+	0.0365979i
$31$	−0.0169204	+	0.0108741i	−0.00303899	+	0.00195304i	−0.542159	−	0.840276i	$-0.682393\pi$
$31$	−0.0169204	+	0.0108741i	−0.00303899	+	0.00195304i	0.539120	+	0.842229i	$0.318757\pi$
$32$	−0.512820	−	3.56674i	−0.0906547	−	0.630517i
$33$	−1.30141	−	3.58639i	−0.226546	−	0.624310i
$34$	−0.296998	+	2.06567i	−0.0509348	+	0.354259i
$35$	1.76485	+	3.86448i	0.298314	+	0.653217i
$36$	2.67459	+	1.71885i	0.445765	+	0.286475i
$37$	−8.54369	+	5.49070i	−1.40457	+	0.902665i	−0.999930	−	0.0118091i	$-0.996241\pi$
$37$	−8.54369	+	5.49070i	−1.40457	+	0.902665i	−0.404644	+	0.914474i	$0.632605\pi$
$38$	−0.00818725	+	0.0179276i	−0.00132815	+	0.00290824i
$39$	−3.55260	−	2.28312i	−0.568871	−	0.365591i
$40$	1.25579			0.198558
$41$	1.93166	+	0.567185i	0.301674	+	0.0885795i	0.429066	−	0.903273i	$-0.358843\pi$
$41$	1.93166	+	0.567185i	0.301674	+	0.0885795i	−0.127393	+	0.991852i	$0.540661\pi$
$42$	1.03153	−	1.19045i	0.159169	−	0.183691i
$43$	6.82201	+	7.87302i	1.04035	+	1.20062i	0.979284	+	0.202490i	$0.0649033\pi$
$43$	6.82201	+	7.87302i	1.04035	+	1.20062i	0.0610622	+	0.998134i	$0.480551\pi$
$44$	−1.39141	+	6.13283i	−0.209762	+	0.924559i
$45$	−1.09803	+	1.26720i	−0.163685	+	0.188903i
$46$	0.434416	+	3.02143i	0.0640511	+	0.445485i
$47$	−10.5225	+	3.08969i	−1.53487	+	0.450677i	−0.936535	−	0.350573i	$-0.885987\pi$
$47$	−10.5225	+	3.08969i	−1.53487	+	0.450677i	−0.598330	+	0.801250i	$0.704169\pi$
$48$	1.61874	+	3.54455i	0.233646	+	0.511612i
$49$	−7.23551	−	8.35023i	−1.03364	−	1.19289i
$50$	−0.0458708	+	0.319038i	−0.00648711	+	0.0451188i
$51$	−1.05996	−	7.37220i	−0.148424	−	1.03231i
$52$	2.89163	+	6.33179i	0.400997	+	0.878061i
$53$	2.18515	−	4.78482i	0.300154	−	0.657245i	−0.698120	−	0.715981i	$-0.745980\pi$
$53$	2.18515	−	4.78482i	0.300154	−	0.657245i	0.998274	+	0.0587359i	$0.0187070\pi$
$54$	1.66377	+	0.488527i	0.226410	+	0.0664801i
$55$	−3.09707	−	1.18666i	−0.417609	−	0.160009i
$56$	−5.11900	+	1.50307i	−0.684055	+	0.200857i
$57$	0.0100102	−	0.0696224i	0.00132588	−	0.00922172i
$58$	0.965008	−	2.11307i	0.126712	−	0.277460i
$59$	8.09166	−	2.37593i	1.05344	−	0.309319i	0.291236	−	0.956651i	$-0.405933\pi$
$59$	8.09166	−	2.37593i	1.05344	−	0.309319i	0.762208	+	0.647332i	$0.224115\pi$
$60$	−2.09280	+	0.614502i	−0.270179	+	0.0793318i
$61$	0.285015	−	0.0836880i	0.0364925	−	0.0107152i	−0.263435	−	0.964677i	$-0.584856\pi$
$61$	0.285015	−	0.0836880i	0.0364925	−	0.0107152i	0.299928	+	0.953962i	$0.403037\pi$
$62$	0.00622029	−	0.00182644i	0.000789978	−	0.000231959i
$63$	2.95920	−	6.47974i	0.372824	−	0.816371i
$64$	0.798879	−	5.55632i	0.0998598	−	0.694540i
$65$	−3.52240	+	1.03427i	−0.436900	+	0.128285i
$66$	0.0768046	+	1.22731i	0.00945399	+	0.151072i
$67$	10.5897	+	3.10940i	1.29373	+	0.379874i	0.854946	−	0.518717i	$-0.173590\pi$
$67$	10.5897	+	3.10940i	1.29373	+	0.379874i	0.438787	+	0.898591i	$0.355408\pi$
$68$	−5.09992	+	11.1673i	−0.618457	+	1.35423i
$69$	−4.52558	−	9.90963i	−0.544815	−	1.19298i
$70$	−0.194878	−	1.35540i	−0.0232923	−	0.162002i
$71$	1.34317	−	9.34193i	0.159405	−	1.10868i	−0.740330	−	0.672244i	$-0.765331\pi$
$71$	1.34317	−	9.34193i	0.159405	−	1.10868i	0.899734	−	0.436439i	$-0.143760\pi$
$72$	−1.37890	−	1.59133i	−0.162505	−	0.187541i
$73$	−0.373872	−	0.818666i	−0.0437584	−	0.0958176i	0.886490	−	0.462747i	$-0.153136\pi$
$73$	−0.373872	−	0.818666i	−0.0437584	−	0.0958176i	−0.930249	+	0.366930i	$0.880409\pi$
$74$	3.14084	−	0.922235i	0.365116	−	0.107208i
$75$	−0.163709	−	1.13862i	−0.0189035	−	0.131477i
$76$	−0.0759246	+	0.0876217i	−0.00870915	+	0.0100509i
$77$	14.0450	+	1.13027i	1.60057	+	0.128806i
$78$	0.891362	+	1.02869i	0.100927	+	0.116476i
$79$	3.25695	−	3.75872i	0.366435	−	0.422889i	−0.542350	−	0.840153i	$-0.682465\pi$
$79$	3.25695	−	3.75872i	0.366435	−	0.422889i	0.908786	+	0.417264i	$0.137011\pi$
$80$	3.25024	+	0.954357i	0.363388	+	0.106700i
$81$	−1.15831			−0.128701
$82$	−0.545884	−	0.350819i	−0.0602829	−	0.0387414i
$83$	3.05644	−	6.69266i	0.335487	−	0.734615i	−0.664432	−	0.747349i	$-0.731326\pi$
$83$	3.05644	−	6.69266i	0.335487	−	0.734615i	0.999919	+	0.0127343i	$0.00405356\pi$
$84$	7.79540	−	5.00980i	0.850548	−	0.546614i
$85$	−5.44684	−	3.50047i	−0.590793	−	0.379680i
$86$	−1.39486	−	3.05432i	−0.150412	−	0.329356i
$87$	−1.17987	+	8.20620i	−0.126496	+	0.879797i
$88$	2.02853	−	3.63761i	0.216242	−	0.387770i
$89$	1.27955	+	8.89945i	0.135632	+	0.943340i	0.938031	+	0.346552i	$0.112648\pi$
$89$	1.27955	+	8.89945i	0.135632	+	0.943340i	−0.802399	+	0.596788i	$0.796443\pi$
$90$	0.454652	−	0.292187i	0.0479245	−	0.0307992i
$91$	13.1205	−	8.43202i	1.37540	−	0.883916i
$92$	−2.55554	+	17.7742i	−0.266434	+	1.85309i
$93$	−0.0194640	+	0.0125088i	−0.00201832	+	0.00129710i
$94$	3.53479			0.364586
$95$	−0.0400423	−	0.0462113i	−0.00410825	−	0.00474118i
$96$	−0.589913	−	4.10293i	−0.0602077	−	0.418754i
$97$	−5.69504	−	6.57243i	−0.578244	−	0.667329i	0.388982	−	0.921245i	$-0.372827\pi$
$97$	−5.69504	−	6.57243i	−0.578244	−	0.667329i	−0.967226	+	0.253916i	$0.918281\pi$
$98$	1.47941	+	3.23946i	0.149443	+	0.327235i
$99$	1.89695	+	5.22759i	0.190651	+	0.525392i
$100$	−0.787673	+	1.72476i	−0.0787673	+	0.172476i
$101$	−9.05285	+	2.65816i	−0.900792	+	0.264496i	−0.699160	−	0.714965i	$-0.746443\pi$
$101$	−9.05285	+	2.65816i	−0.900792	+	0.264496i	−0.201632	+	0.979461i	$0.564624\pi$
$102$	−0.341646	+	2.37620i	−0.0338280	+	0.235279i
$103$	−11.3444	−	3.33101i	−1.11780	−	0.328215i	−0.329896	−	0.944017i	$-0.607014\pi$
$103$	−11.3444	−	3.33101i	−1.11780	−	0.328215i	−0.787900	+	0.615803i	$0.788832\pi$
$104$	−0.656092	−	4.56322i	−0.0643351	−	0.447460i
$105$	2.03016	+	4.44543i	0.198123	+	0.433830i
$106$	−1.11028	+	1.28134i	−0.107840	+	0.124454i
$107$	−2.96185	+	3.41816i	−0.286333	+	0.330446i	−0.880634	−	0.473797i	$-0.842883\pi$
$107$	−2.96185	+	3.41816i	−0.286333	+	0.330446i	0.594301	+	0.804242i	$0.297429\pi$
$108$	8.58136	+	5.51491i	0.825742	+	0.530672i
$109$	2.30908	+	1.48396i	0.221170	+	0.142137i	0.646534	−	0.762885i	$-0.276218\pi$
$109$	2.30908	+	1.48396i	0.221170	+	0.142137i	−0.425364	+	0.905022i	$0.639854\pi$
$110$	0.850051	+	0.648227i	0.0810492	+	0.0618060i
$111$	−9.82806	+	6.31611i	−0.932838	+	0.599499i
$112$	−14.3913			−1.35985
$113$	−2.23845	−	2.58331i	−0.210576	−	0.243017i	0.640630	−	0.767850i	$-0.278673\pi$
$113$	−2.23845	−	2.58331i	−0.210576	−	0.243017i	−0.851205	+	0.524833i	$0.824128\pi$
$114$	−0.00941804	+	0.0206226i	−0.000882080	+	0.00193149i
$115$	−9.08681	−	2.66813i	−0.847349	−	0.248804i
$116$	8.94902	−	10.3277i	0.830895	−	0.958904i
$117$	5.17834	+	3.32791i	0.478737	+	0.307666i
$118$	−2.71820			−0.250231
$119$	26.3928	+	7.74963i	2.41942	+	0.710407i
$120$	1.44457			0.131871
$121$	−8.44017	+	7.05433i	−0.767288	+	0.641302i
$122$	−0.0957442			−0.00866827
$123$	2.22204	+	0.652450i	0.200355	+	0.0588294i
$124$	0.0381370			0.00342481
$125$	−0.841254	−	0.540641i	−0.0752440	−	0.0483564i
$126$	−1.50358	+	1.73523i	−0.133950	+	0.154586i
$127$	3.77023	+	1.10704i	0.334554	+	0.0982339i	0.444695	−	0.895682i	$-0.353312\pi$
$127$	3.77023	+	1.10704i	0.334554	+	0.0982339i	−0.110141	+	0.993916i	$0.535130\pi$
$128$	−3.74545	+	8.20140i	−0.331054	+	0.724908i
$129$	7.84756	+	9.05656i	0.690939	+	0.797386i
$130$	1.18327			0.103779
$131$	15.5265	−	9.97830i	1.35656	−	0.871808i	0.358467	−	0.933543i	$-0.383300\pi$
$131$	15.5265	−	9.97830i	1.35656	−	0.871808i	0.998093	+	0.0617348i	$0.0196633\pi$
$132$	−1.60057	+	7.05477i	−0.139312	+	0.614039i
$133$	0.218536	+	0.140444i	0.0189495	+	0.0121781i
$134$	−2.99263	−	1.92325i	−0.258524	−	0.166143i
$135$	−3.52302	+	4.06578i	−0.303213	+	0.349926i
$136$	5.32456	−	6.14488i	0.456578	−	0.526919i
$137$	3.47242	+	7.60353i	0.296669	+	0.649614i	0.997999	−	0.0632223i	$-0.0201377\pi$
$137$	3.47242	+	7.60353i	0.296669	+	0.649614i	−0.701331	+	0.712836i	$0.747410\pi$
$138$	0.499721	+	3.47564i	0.0425391	+	0.295866i
$139$	3.42935	+	1.00695i	0.290873	+	0.0854081i	0.423914	−	0.905702i	$-0.360656\pi$
$139$	3.42935	+	1.00695i	0.290873	+	0.0854081i	−0.133041	+	0.991111i	$0.542474\pi$
$140$	1.14641	−	7.97345i	0.0968893	−	0.673880i
$141$	−12.1044	+	3.55416i	−1.01937	+	0.299314i
$142$	−1.26371	+	2.76714i	−0.106048	+	0.232213i
$143$	−2.69394	+	11.8739i	−0.225278	+	0.992947i
$144$	−2.35951	−	5.16661i	−0.196626	−	0.430551i
$145$	4.71967	+	5.44679i	0.391947	+	0.452331i
$146$	0.0412836	+	0.287133i	0.00341665	+	0.0237633i
$147$	−8.32323	−	9.60552i	−0.686488	−	0.792250i
$148$	19.2567			1.58289
$149$	6.95509	−	4.46976i	0.569783	−	0.366177i	−0.223804	−	0.974634i	$-0.571848\pi$
$149$	6.95509	−	4.46976i	0.569783	−	0.366177i	0.793587	+	0.608457i	$0.208211\pi$
$150$	−0.0527665	+	0.366999i	−0.00430837	+	0.0299654i
$151$	−5.62633	+	3.61583i	−0.457865	+	0.294252i	−0.749169	−	0.662379i	$-0.769547\pi$
$151$	−5.62633	+	3.61583i	−0.457865	+	0.294252i	0.291305	+	0.956630i	$0.405911\pi$
$152$	0.0645973	−	0.0415141i	0.00523953	−	0.00336724i
$153$	1.54502	+	10.7459i	0.124908	+	0.868751i
$154$	−4.24095	−	1.62494i	−0.341745	−	0.130941i
$155$	−0.00286242	+	0.0199086i	−0.000229915	+	0.00159909i
$156$	3.32633	+	7.28365i	0.266320	+	0.583158i
$157$	−10.4832	−	6.73716i	−0.836652	−	0.537684i	0.0507330	−	0.998712i	$-0.483844\pi$
$157$	−10.4832	−	6.73716i	−0.836652	−	0.537684i	−0.887385	+	0.461028i	$0.847481\pi$
$158$	−1.34857	+	0.866676i	−0.107287	+	0.0689491i
$159$	2.51365	−	5.50412i	0.199345	−	0.436505i
$160$	−3.03139	−	1.94816i	−0.239653	−	0.154015i
$161$	40.2342			3.17090
$162$	0.358223	+	0.105184i	0.0281446	+	0.00826401i
$163$	5.56861	−	6.42652i	0.436167	−	0.503364i	−0.494527	−	0.869162i	$-0.664659\pi$
$163$	5.56861	−	6.42652i	0.436167	−	0.503364i	0.930694	+	0.365798i	$0.119204\pi$
$164$	−2.49977	−	2.88489i	−0.195199	−	0.225272i
$165$	−3.56265	−	1.36505i	−0.277352	−	0.106269i
$166$	−1.55299	+	1.79224i	−0.120535	+	0.139105i
$167$	−2.47450	−	17.2105i	−0.191483	−	1.33179i	−0.828087	−	0.560600i	$-0.810571\pi$
$167$	−2.47450	−	17.2105i	−0.191483	−	1.33179i	0.636604	−	0.771190i	$-0.280338\pi$
$168$	−5.88853	+	1.72903i	−0.454310	+	0.133398i
$169$	0.198167	+	0.433925i	0.0152436	+	0.0333789i
$170$	1.36664	+	1.57718i	0.104816	+	0.120964i
$171$	−0.0145910	+	0.101483i	−0.00111581	+	0.00776060i
$172$	−2.81111	−	19.5517i	−0.214345	−	1.49080i
$173$	5.02267	+	10.9981i	0.381867	+	0.836171i	0.998791	+	0.0491492i	$0.0156510\pi$
$173$	5.02267	+	10.9981i	0.381867	+	0.836171i	−0.616925	+	0.787022i	$0.711622\pi$
$174$	1.11008	−	2.43073i	0.0841547	−	0.184273i
$175$	4.07631	+	1.19691i	0.308140	+	0.0904782i
$176$	8.01469	−	7.87325i	0.604130	−	0.593469i
$177$	9.30808	−	2.73310i	0.699638	−	0.205432i
$178$	0.412423	−	2.86846i	0.0309124	−	0.215000i
$179$	−5.29825	+	11.6016i	−0.396010	+	0.867141i	0.601649	+	0.798760i	$0.294510\pi$
$179$	−5.29825	+	11.6016i	−0.396010	+	0.867141i	−0.997659	+	0.0683804i	$0.978217\pi$
$180$	3.05050	−	0.895709i	0.227371	−	0.0667622i
$181$	−15.4511	+	4.53684i	−1.14847	+	0.337221i	−0.799941	−	0.600078i	$-0.795136\pi$
$181$	−15.4511	+	4.53684i	−1.14847	+	0.337221i	−0.348527	+	0.937299i	$0.613318\pi$
$182$	−4.82337	+	1.41627i	−0.357532	+	0.104981i
$183$	0.327862	−	0.0962688i	0.0242362	−	0.00711640i
$184$	4.94048	−	10.8181i	0.364217	−	0.797524i
$185$	−1.44534	+	10.0525i	−0.106263	+	0.739077i
$186$	0.00715539	−	0.00210101i	0.000524659	−	0.000154054i
$187$	−18.9382	+	10.1232i	−1.38490	+	0.740285i
$188$	19.9518	+	5.85839i	1.45514	+	0.427267i
$189$	9.49453	−	20.7901i	0.690626	−	1.51226i
$190$	0.00818725	+	0.0179276i	0.000593966	+	0.00130060i
$191$	−3.01064	−	20.9394i	−0.217842	−	1.51512i	−0.745981	−	0.665967i	$-0.768019\pi$
$191$	−3.01064	−	20.9394i	−0.217842	−	1.51512i	0.528140	−	0.849158i	$-0.322890\pi$
$192$	0.918974	−	6.39160i	0.0663212	−	0.461274i
$193$	−3.79114	−	4.37521i	−0.272892	−	0.314934i	0.602717	−	0.797955i	$-0.294085\pi$
$193$	−3.79114	−	4.37521i	−0.272892	−	0.314934i	−0.875609	+	0.483021i	$0.839540\pi$
$194$	1.16444	+	2.54976i	0.0836017	+	0.183062i
$195$	−4.05192	+	1.18975i	−0.290164	+	0.0851999i
$196$	2.98150	+	20.7368i	0.212964	+	1.48120i
$197$	4.81979	−	5.56233i	0.343396	−	0.396300i	−0.557613	−	0.830101i	$-0.688283\pi$
$197$	4.81979	−	5.56233i	0.343396	−	0.396300i	0.901009	+	0.433801i	$0.142828\pi$
$198$	−0.111952	−	1.78896i	−0.00795607	−	0.127136i
$199$	−3.26483	−	3.76782i	−0.231438	−	0.267094i	0.628138	−	0.778102i	$-0.283817\pi$
$199$	−3.26483	−	3.76782i	−0.231438	−	0.267094i	−0.859576	+	0.511009i	$0.829272\pi$
$200$	0.822368	−	0.949063i	0.0581502	−	0.0671089i
$201$	12.1816	+	3.57684i	0.859223	+	0.252291i
$202$	3.04109			0.213970
$203$	−25.7582	−	16.5538i	−1.80787	−	1.16185i
$204$	−5.86659	+	12.8460i	−0.410744	+	0.899403i
$205$	1.69362	−	1.08842i	0.118287	−	0.0760186i
$206$	3.20592	+	2.06032i	0.223367	+	0.143549i
$207$	6.59657	+	14.4445i	0.458493	+	1.00396i
$208$	1.76979	−	12.3091i	0.122713	−	0.853485i
$209$	−0.198541	+	0.0413423i	−0.0137333	+	0.00285971i
$210$	−0.224173	−	1.55916i	−0.0154694	−	0.107592i
$211$	−4.50636	+	2.89606i	−0.310230	+	0.199373i	−0.686486	−	0.727143i	$-0.740848\pi$
$211$	−4.50636	+	2.89606i	−0.310230	+	0.199373i	0.376256	+	0.926516i	$0.377211\pi$
$212$	−8.39054	+	5.39227i	−0.576265	+	0.370343i
$213$	1.54508	−	10.7463i	0.105867	−	0.736324i
$214$	1.22639	−	0.788150i	0.0838340	−	0.0538768i
$215$	10.4175			0.710467
$216$	−4.42417	−	5.10576i	−0.301027	−	0.347403i
$217$	−0.0121607	−	0.0845797i	−0.000825523	−	0.00574164i
$218$	−0.579359	−	0.668615i	−0.0392391	−	0.0452844i
$219$	−0.430076	−	0.941736i	−0.0290619	−	0.0636366i
$220$	3.72371	+	5.06770i	0.251052	+	0.341664i
$221$	−9.87409	+	21.6213i	−0.664204	+	1.45440i
$222$	3.61301	−	1.06087i	0.242489	−	0.0712012i
$223$	−1.68055	+	11.6885i	−0.112538	+	0.782718i	0.852898	+	0.522077i	$0.174843\pi$
$223$	−1.68055	+	11.6885i	−0.112538	+	0.782718i	−0.965436	+	0.260640i	$0.916066\pi$
$224$	14.6887	+	4.31299i	0.981429	+	0.288173i
$225$	0.238625	+	1.65968i	0.0159083	+	0.110645i
$226$	0.457685	+	1.00219i	0.0304447	+	0.0666647i
$227$	−2.82307	+	3.25799i	−0.187374	+	0.216241i	−0.841662	−	0.540004i	$-0.818423\pi$
$227$	−2.82307	+	3.25799i	−0.187374	+	0.216241i	0.654289	+	0.756245i	$0.272968\pi$
$228$	−0.0873383	+	0.100794i	−0.00578412	+	0.00667523i
$229$	11.1999	+	7.19772i	0.740109	+	0.475639i	0.855579	−	0.517672i	$-0.173201\pi$
$229$	11.1999	+	7.19772i	0.740109	+	0.475639i	−0.115471	+	0.993311i	$0.536838\pi$
$230$	2.56792	+	1.65031i	0.169324	+	0.108818i
$231$	16.1563	+	1.30018i	1.06301	+	0.0855454i
$232$	−7.61390	+	4.89315i	−0.499877	+	0.321251i
$233$	−0.176793			−0.0115821			−0.00579106	−	0.999983i	$-0.501843\pi$
$233$	−0.176793			−0.0115821			−0.00579106	+	0.999983i	$0.501843\pi$
$234$	−1.29927	−	1.49943i	−0.0849357	−	0.0980210i
$235$	−4.55575	+	9.97569i	−0.297184	+	0.650743i
$236$	−15.3427	−	4.50502i	−0.998724	−	0.293252i
$237$	3.74657	−	4.32377i	0.243366	−	0.280859i
$238$	−7.45859	−	4.79334i	−0.483468	−	0.310706i
$239$	−4.62927			−0.299443			−0.149721	−	0.988728i	$-0.547838\pi$
$239$	−4.62927			−0.299443			−0.149721	+	0.988728i	$0.547838\pi$
$240$	3.73885	+	1.09782i	0.241342	+	0.0708643i
$241$	15.4524			0.995375			0.497688	−	0.867356i	$-0.334183\pi$
$241$	15.4524			0.995375			0.497688	+	0.867356i	$0.334183\pi$
$242$	3.25082	−	1.41521i	0.208971	−	0.0909730i
$243$	14.8069			0.949866
$244$	−0.540421	−	0.158682i	−0.0345969	−	0.0101586i
$245$	−11.0489			−0.705891
$246$	−0.627947	−	0.403557i	−0.0400364	−	0.0257299i
$247$	−0.147000	+	0.169647i	−0.00935336	+	0.0107944i
$248$	−0.0242350	−	0.00711603i	−0.00153892	−	0.000451868i
$249$	3.51591	−	7.69876i	0.222812	−	0.487889i
$250$	0.211074	+	0.243592i	0.0133495	+	0.0154061i
$251$	−8.45829			−0.533883			−0.266941	−	0.963713i	$-0.586013\pi$
$251$	−8.45829			−0.533883			−0.266941	+	0.963713i	$0.586013\pi$
$252$	−11.3627	+	7.30238i	−0.715784	+	0.460007i
$253$	−22.4069	+	22.0115i	−1.40871	+	1.38385i
$254$	−1.06546	−	0.684733i	−0.0668532	−	0.0429639i
$255$	−6.26566	−	4.02670i	−0.392371	−	0.252162i
$256$	−5.44899	+	6.28847i	−0.340562	+	0.393029i
$257$	−2.86376	+	3.30496i	−0.178637	+	0.206158i	−0.838005	−	0.545662i	$-0.816278\pi$
$257$	−2.86376	+	3.30496i	−0.178637	+	0.206158i	0.659369	+	0.751820i	$0.270824\pi$
$258$	−1.60455	−	3.51348i	−0.0998950	−	0.218740i
$259$	−6.14037	−	42.7072i	−0.381544	−	2.65370i
$260$	6.67886	+	1.96109i	0.414206	+	0.121622i
$261$	1.71980	−	11.9615i	0.106453	−	0.740399i
$262$	−5.70789	+	1.67599i	−0.352634	+	0.103543i
$263$	−2.92735	+	6.41001i	−0.180508	+	0.395258i	−0.978158	−	0.207863i	$-0.933349\pi$
$263$	−2.92735	+	6.41001i	−0.180508	+	0.395258i	0.797650	+	0.603121i	$0.206076\pi$
$264$	2.33347	−	4.18445i	0.143615	−	0.257535i
$265$	−2.18515	−	4.78482i	−0.134233	−	0.293929i
$266$	−0.0548316	−	0.0632790i	−0.00336194	−	0.00387989i
$267$	1.47190	+	10.2373i	0.0900790	+	0.626513i
$268$	−13.7042	−	15.8155i	−0.837115	−	0.966082i
$269$	2.72185			0.165954			0.0829772	−	0.996551i	$-0.473557\pi$
$269$	2.72185			0.165954			0.0829772	+	0.996551i	$0.473557\pi$
$270$	1.45874	−	0.937477i	0.0887762	−	0.0570530i
$271$	4.03836	−	28.0874i	0.245313	−	1.70619i	−0.379317	−	0.925267i	$-0.623841\pi$
$271$	4.03836	−	28.0874i	0.245313	−	1.70619i	0.624630	−	0.780921i	$-0.285250\pi$
$272$	18.4509	−	11.8577i	1.11875	−	0.718979i
$273$	15.0929	−	9.69961i	0.913463	−	0.587047i
$274$	−0.383430	−	2.66681i	−0.0231638	−	0.161108i
$275$	−2.92497	+	1.56351i	−0.176382	+	0.0942834i
$276$	−2.93972	+	20.4462i	−0.176950	+	1.23072i
$277$	−3.88365	−	8.50400i	−0.233346	−	0.510956i	0.756346	−	0.654172i	$-0.226983\pi$
$277$	−3.88365	−	8.50400i	−0.233346	−	0.510956i	−0.989691	+	0.143216i	$0.954256\pi$
$278$	−0.969131	−	0.622822i	−0.0581246	−	0.0373544i
$279$	0.0283711	−	0.0182330i	0.00169853	−	0.00109158i
$280$	−2.21628	+	4.85298i	−0.132448	+	0.290021i
$281$	12.3000	+	7.90475i	0.733758	+	0.471558i	0.853398	−	0.521260i	$-0.174538\pi$
$281$	12.3000	+	7.90475i	0.733758	+	0.471558i	−0.119640	+	0.992817i	$0.538174\pi$
$282$	4.06617			0.242137
$283$	−3.93599	−	1.15571i	−0.233970	−	0.0686998i	0.162646	−	0.986685i	$-0.447997\pi$
$283$	−3.93599	−	1.15571i	−0.233970	−	0.0686998i	−0.396616	+	0.917985i	$0.629815\pi$
$284$	−11.7190	+	13.5245i	−0.695397	+	0.802531i
$285$	−0.0460618	−	0.0531582i	−0.00272847	−	0.00314882i
$286$	1.91138	−	3.42753i	0.113022	−	0.202674i
$287$	−5.60096	+	6.46386i	−0.330614	+	0.381549i
$288$	0.859868	+	5.98051i	0.0506682	+	0.352405i
$289$	−23.9119	+	7.02117i	−1.40658	+	0.413010i
$290$	−0.965008	−	2.11307i	−0.0566672	−	0.124084i
$291$	−6.55117	−	7.56046i	−0.384037	−	0.443202i
$292$	−0.242859	+	1.68912i	−0.0142123	+	0.0988485i
$293$	1.54541	+	10.7485i	0.0902836	+	0.627936i	0.983849	+	0.179003i	$0.0572870\pi$
$293$	1.54541	+	10.7485i	0.0902836	+	0.627936i	−0.893565	+	0.448934i	$0.851804\pi$
$294$	1.70181	+	3.72644i	0.0992515	+	0.217331i
$295$	3.50331	−	7.67117i	0.203970	−	0.446633i
$296$	−12.2371	−	3.59313i	−0.711266	−	0.208846i
$297$	6.08634	+	16.7726i	0.353165	+	0.973246i
$298$	−2.55684	+	0.750756i	−0.148114	+	0.0434901i
$299$	−4.94785	+	34.4131i	−0.286142	+	1.99016i
$300$	−0.906083	+	1.98405i	−0.0523127	+	0.114549i
$301$	−42.4650	+	12.4688i	−2.44764	+	0.718692i
$302$	2.06836	−	0.607326i	0.119021	−	0.0349477i
$303$	−10.4138	+	3.05776i	−0.598255	+	0.175663i
$304$	0.198740	−	0.0583554i	0.0113985	−	0.00334691i
$305$	0.123398	−	0.270204i	0.00706576	−	0.0154718i
$306$	0.497990	−	3.46359i	0.0284682	−	0.198000i
$307$	−27.8158	+	8.16746i	−1.58753	+	0.466142i	−0.952042	−	0.305967i	$-0.901020\pi$
$307$	−27.8158	+	8.16746i	−1.58753	+	0.466142i	−0.635491	+	0.772108i	$0.719202\pi$
$308$	−21.2446	−	16.2006i	−1.21052	−	0.923114i
$309$	−13.0498	−	3.83176i	−0.742377	−	0.217981i
$310$	0.00269309	−	0.00589705i	0.000152957	−	0.000334930i
$311$	2.28738	+	5.00867i	0.129706	+	0.284016i	0.963332	−	0.268314i	$-0.0864664\pi$
$311$	2.28738	+	5.00867i	0.129706	+	0.284016i	−0.833626	+	0.552329i	$0.813739\pi$
$312$	−0.754722	−	5.24920i	−0.0427277	−	0.297178i
$313$	1.16934	−	8.13295i	0.0660951	−	0.459701i	−0.929717	−	0.368275i	$-0.879948\pi$
$313$	1.16934	−	8.13295i	0.0660951	−	0.459701i	0.995812	−	0.0914261i	$-0.0291425\pi$
$314$	2.63029	+	3.03551i	0.148436	+	0.171304i
$315$	−2.95920	−	6.47974i	−0.166732	−	0.365092i
$316$	−9.04831	+	2.65682i	−0.509007	+	0.149458i
$317$	−2.40391	−	16.7196i	−0.135017	−	0.939064i	−0.938879	−	0.344248i	$-0.888134\pi$
$317$	−2.40391	−	16.7196i	−0.135017	−	0.939064i	0.803862	−	0.594816i	$-0.202775\pi$
$318$	−1.27719	+	1.47396i	−0.0716215	+	0.0826556i
$319$	23.4014	−	4.87290i	1.31023	−	0.272830i
$320$	−3.67603	−	4.24237i	−0.205497	−	0.237156i
$321$	−3.40710	+	3.93201i	−0.190166	+	0.219463i
$322$	−12.4429	−	3.65358i	−0.693418	−	0.203606i
$323$	−0.395902			−0.0220286
$324$	1.84763	+	1.18740i	0.102646	+	0.0659668i
$325$	−1.52503	+	3.33936i	−0.0845936	+	0.185234i
$326$	−2.30574	+	1.48181i	−0.127703	+	0.0820699i
$327$	2.65621	+	1.70704i	0.146889	+	0.0943995i
$328$	1.05024	+	2.29970i	0.0579896	+	0.126980i
$329$	6.63061	−	46.1169i	0.365557	−	2.54251i
$330$	0.977839	+	0.745675i	0.0538282	+	0.0410481i
$331$	−4.57300	−	31.8059i	−0.251355	−	1.74821i	−0.590099	−	0.807331i	$-0.700911\pi$
$331$	−4.57300	−	31.8059i	−0.251355	−	1.74821i	0.338744	−	0.940878i	$-0.389998\pi$
$332$	−11.7361	+	7.54233i	−0.644102	+	0.413939i
$333$	14.3256	−	9.20648i	0.785036	−	0.504512i
$334$	−0.797578	+	5.54728i	−0.0436415	+	0.303534i
$335$	9.28468	−	5.96690i	0.507276	−	0.326007i
$336$	−16.5547			−0.903134
$337$	−5.02291	−	5.79674i	−0.273615	−	0.315769i	0.602266	−	0.798295i	$-0.294265\pi$
$337$	−5.02291	−	5.79674i	−0.273615	−	0.315769i	−0.875881	+	0.482527i	$0.839719\pi$
$338$	−0.0218819	−	0.152192i	−0.00119022	−	0.00827816i
$339$	−2.57495	−	2.97165i	−0.139852	−	0.161398i
$340$	5.09992	+	11.1673i	0.276582	+	0.605631i
$341$	0.0530447	+	0.0404506i	0.00287253	+	0.00219052i
$342$	0.0137279	−	0.0300599i	0.000742320	−	0.00162545i
$343$	16.5047	−	4.84623i	0.891172	−	0.261672i
$344$	−1.86179	+	12.9490i	−0.100381	+	0.698165i
$345$	−10.4528	−	3.06923i	−0.562761	−	0.165242i
$346$	−0.554611	−	3.85741i	−0.0298161	−	0.207375i
$347$	−10.9306	−	23.9347i	−0.586787	−	1.28488i	−0.937364	−	0.348351i	$-0.886742\pi$
$347$	−10.9306	−	23.9347i	−0.586787	−	1.28488i	0.350577	−	0.936534i	$-0.385985\pi$
$348$	10.2943	−	11.8803i	0.551833	−	0.636850i
$349$	2.06630	−	2.38463i	0.110606	−	0.127646i	−0.697747	−	0.716345i	$-0.745814\pi$
$349$	2.06630	−	2.38463i	0.110606	−	0.127646i	0.808353	+	0.588698i	$0.200359\pi$
$350$	−1.15196	−	0.740322i	−0.0615750	−	0.0395719i
$351$	16.6146	+	10.6776i	0.886821	+	0.569926i
$352$	−10.5399	+	5.63400i	−0.561778	+	0.300293i
$353$	−29.0547	+	18.6723i	−1.54642	+	0.993826i	−0.560209	+	0.828351i	$0.689279\pi$
$353$	−29.0547	+	18.6723i	−1.54642	+	0.993826i	−0.986214	+	0.165474i	$0.947084\pi$
$354$	−3.12683			−0.166189
$355$	−6.18057	−	7.13276i	−0.328031	−	0.378568i
$356$	7.08194	−	15.5073i	0.375342	−	0.821885i
$357$	30.3604	+	8.91463i	1.60684	+	0.471812i
$358$	2.69206	−	3.10681i	0.142280	−	0.164200i
$359$	−0.496960	−	0.319377i	−0.0262286	−	0.0168561i	0.527461	−	0.849579i	$-0.323144\pi$
$359$	−0.496960	−	0.319377i	−0.0262286	−	0.0168561i	−0.553689	+	0.832723i	$0.686781\pi$
$360$	−2.10564			−0.110977
$361$	18.2268	+	5.35187i	0.959304	+	0.281677i
$362$	5.19042			0.272802
$363$	−9.70898	+	8.11480i	−0.509589	+	0.425917i
$364$	−29.5724			−1.55002
$365$	−0.863541	−	0.253558i	−0.0451998	−	0.0132719i
$366$	−0.110137			−0.00575697
$367$	12.9464	+	8.32015i	0.675797	+	0.434308i	0.833011	−	0.553256i	$-0.186615\pi$
$367$	12.9464	+	8.32015i	0.675797	+	0.434308i	−0.157214	+	0.987565i	$0.550251\pi$
$368$	21.0084	−	24.2449i	1.09514	−	1.26385i
$369$	−3.23889	−	0.951023i	−0.168610	−	0.0495083i
$370$	1.35984	−	2.97763i	0.0706946	−	0.154799i
$371$	14.6344	+	16.8890i	0.759779	+	0.876832i
$372$	0.0438702			0.00227456
$373$	−31.2605	+	20.0899i	−1.61861	+	1.04022i	−0.661724	+	0.749747i	$0.730175\pi$
$373$	−31.2605	+	20.0899i	−1.61861	+	1.04022i	−0.956884	+	0.290469i	$0.906189\pi$
$374$	6.77615	−	1.41101i	0.350386	−	0.0729614i
$375$	−0.967719	−	0.621915i	−0.0499728	−	0.0321156i
$376$	−11.5857	−	7.44566i	−0.597486	−	0.383981i
$377$	17.3264	−	19.9958i	0.892356	−	1.02983i
$378$	−4.82421	+	5.56744i	−0.248131	+	0.286358i
$379$	−0.916949	−	2.00784i	−0.0471005	−	0.103136i	0.884619	−	0.466315i	$-0.154419\pi$
$379$	−0.916949	−	2.00784i	−0.0471005	−	0.103136i	−0.931719	+	0.363179i	$0.881691\pi$
$380$	0.0165000	+	0.114760i	0.000846432	+	0.00588706i
$381$	4.33701	+	1.27346i	0.222192	+	0.0652414i
$382$	−0.970385	+	6.74918i	−0.0496492	+	0.345318i
$383$	−13.0075	+	3.81936i	−0.664655	+	0.195160i	−0.596621	−	0.802523i	$-0.703491\pi$
$383$	−13.0075	+	3.81936i	−0.664655	+	0.195160i	−0.0680332	+	0.997683i	$0.521672\pi$
$384$	−4.30850	+	9.43431i	−0.219867	+	0.481443i
$385$	10.0517	−	9.87430i	0.512281	−	0.503241i
$386$	0.775156	+	1.69735i	0.0394544	+	0.0863931i
$387$	−11.4387	−	13.2010i	−0.581464	−	0.671045i
$388$	2.34672	+	16.3218i	0.119137	+	0.828615i
$389$	−24.0021	−	27.6999i	−1.21696	−	1.40444i	−0.887840	−	0.460153i	$-0.847795\pi$
$389$	−24.0021	−	27.6999i	−1.21696	−	1.40444i	−0.329117	−	0.944289i	$-0.606751\pi$
$390$	1.36115			0.0689244
$391$	−51.5839	+	33.1510i	−2.60871	+	1.67652i
$392$	1.97464	−	13.7339i	0.0997344	−	0.693668i
$393$	17.8606	−	11.4783i	0.900949	−	0.579005i
$394$	−1.99568	+	1.28255i	−0.100541	+	0.0646139i
$395$	−0.707803	−	4.92288i	−0.0356134	−	0.247697i
$396$	2.33303	−	10.2832i	0.117239	−	0.516749i
$397$	−0.0598661	+	0.416378i	−0.00300459	+	0.0208974i	−0.991269	−	0.131858i	$-0.957906\pi$
$397$	−0.0598661	+	0.416378i	−0.00300459	+	0.0208974i	0.988264	+	0.152756i	$0.0488147\pi$
$398$	0.667544	+	1.46172i	0.0334610	+	0.0732693i
$399$	0.251388	+	0.161557i	0.0125852	+	0.00808799i
$400$	2.84971	−	1.83140i	0.142485	−	0.0915698i
$401$	−4.07090	+	8.91404i	−0.203291	+	0.445146i	−0.983627	−	0.180215i	$-0.942321\pi$
$401$	−4.07090	+	8.91404i	−0.203291	+	0.445146i	0.780336	+	0.625360i	$0.215048\pi$
$402$	−3.44251	−	2.21237i	−0.171697	−	0.110343i
$403$	0.0738381			0.00367814
$404$	17.1652	+	5.04016i	0.854001	+	0.250757i
$405$	−0.758533	+	0.875393i	−0.0376918	+	0.0434986i
$406$	6.46284	+	7.45852i	0.320745	+	0.370160i
$407$	26.7841	+	20.4249i	1.32764	+	1.01243i
$408$	6.12500	−	7.06863i	0.303233	−	0.349949i
$409$	2.09431	+	14.5662i	0.103557	+	0.720254i	0.973763	+	0.227566i	$0.0730766\pi$
$409$	2.09431	+	14.5662i	0.103557	+	0.720254i	−0.870206	+	0.492688i	$0.836014\pi$
$410$	−0.622609	+	0.182815i	−0.0307485	+	0.00902857i
$411$	3.99442	+	8.74657i	0.197030	+	0.431436i
$412$	14.6809	+	16.9426i	0.723275	+	0.834704i
$413$	−5.09885	+	35.4633i	−0.250898	+	1.74503i
$414$	−0.728403	−	5.06616i	−0.0357991	−	0.248988i
$415$	−3.05644	−	6.69266i	−0.150035	−	0.328530i
$416$	−5.49534	+	12.0331i	−0.269431	+	0.589972i
$417$	3.94488	+	1.15832i	0.193181	+	0.0567232i
$418$	0.0651554	+	0.00524337i	0.00318686	+	0.000256462i
$419$	35.0304	−	10.2859i	1.71135	−	0.502497i	0.728209	−	0.685355i	$-0.240353\pi$
$419$	35.0304	−	10.2859i	1.71135	−	0.502497i	0.983139	+	0.182858i	$0.0585350\pi$
$420$	1.31875	−	9.17210i	0.0643483	−	0.447552i
$421$	5.53173	−	12.1128i	0.269600	−	0.590342i	−0.725609	−	0.688107i	$-0.758442\pi$
$421$	5.53173	−	12.1128i	0.269600	−	0.590342i	0.995210	+	0.0977650i	$0.0311693\pi$
$422$	1.65663	−	0.486432i	0.0806437	−	0.0236791i
$423$	17.6435	−	5.18061i	0.857858	−	0.251890i
$424$	6.33809	−	1.86103i	0.307805	−	0.0903797i
$425$	−6.21240	+	1.82413i	−0.301346	+	0.0884831i
$426$	−1.45368	+	3.18312i	−0.0704312	+	0.154223i
$427$	−0.179598	+	1.24913i	−0.00869137	+	0.0604498i
$428$	8.22848	−	2.41610i	0.397739	−	0.116787i
$429$	−3.09891	+	13.6589i	−0.149617	+	0.659459i
$430$	−3.22174	−	0.945989i	−0.155366	−	0.0456197i
$431$	−7.46902	+	16.3549i	−0.359770	+	0.787786i	0.640041	+	0.768341i	$0.278917\pi$
$431$	−7.46902	+	16.3549i	−0.359770	+	0.787786i	−0.999811	+	0.0194456i	$0.993810\pi$
$432$	−7.57045	−	16.5770i	−0.364233	−	0.797560i
$433$	−3.04808	−	21.1999i	−0.146482	−	1.01880i	−0.921921	−	0.387379i	$-0.873381\pi$
$433$	−3.04808	−	21.1999i	−0.146482	−	1.01880i	0.775439	−	0.631422i	$-0.217529\pi$
$434$	−0.00391963	+	0.0272616i	−0.000188148	+	0.00130860i
$435$	5.42918	+	6.26560i	0.260309	+	0.300413i
$436$	−2.16201	−	4.73415i	−0.103542	−	0.226725i
$437$	−0.555624	+	0.163146i	−0.0265791	+	0.00780433i
$438$	0.0474897	+	0.330298i	0.00226915	+	0.0157823i
$439$	−19.4690	+	22.4685i	−0.929206	+	1.07236i	0.0680017	+	0.997685i	$0.478338\pi$
$439$	−19.4690	+	22.4685i	−0.929206	+	1.07236i	−0.997208	+	0.0746759i	$0.976208\pi$
$440$	−1.42072	−	3.91518i	−0.0677300	−	0.186649i
$441$	12.1321	+	14.0012i	0.577719	+	0.666723i
$442$	5.01707	−	5.79001i	0.238638	−	0.275402i
$443$	−8.52949	−	2.50448i	−0.405248	−	0.118992i	0.0727546	−	0.997350i	$-0.476821\pi$
$443$	−8.52949	−	2.50448i	−0.405248	−	0.118992i	−0.478003	+	0.878358i	$0.658639\pi$
$444$	22.1516			1.05127
$445$	7.56369	+	4.86089i	0.358553	+	0.230428i
$446$	1.58113	−	3.46220i	0.0748689	−	0.163940i
$447$	8.00064	−	5.14170i	0.378418	−	0.243194i
$448$	20.0624	+	12.8933i	0.947860	+	0.609153i
$449$	2.54959	+	5.58282i	0.120323	+	0.263470i	0.960204	−	0.279301i	$-0.0901026\pi$
$449$	2.54959	+	5.58282i	0.120323	+	0.263470i	−0.839881	+	0.542770i	$0.817375\pi$
$450$	0.0769135	−	0.534945i	0.00362574	−	0.0252175i
$451$	−0.417029	−	6.66401i	−0.0196371	−	0.313796i
$452$	0.922384	+	6.41532i	0.0433853	+	0.301752i
$453$	−6.47214	+	4.15939i	−0.304088	+	0.195425i
$454$	1.16892	−	0.751220i	0.0548602	−	0.0352565i
$455$	2.21959	−	15.4376i	0.104056	−	0.723726i
$456$	0.0743081	−	0.0477549i	0.00347980	−	0.00223633i
$457$	39.0498			1.82667			0.913336	−	0.407207i	$-0.133497\pi$
$457$	39.0498			1.82667			0.913336	+	0.407207i	$0.133497\pi$
$458$	−2.81010	−	3.24302i	−0.131307	−	0.151537i
$459$	4.95717	+	34.4779i	0.231381	+	1.60929i
$460$	11.7593	+	13.5710i	0.548281	+	0.632750i
$461$	9.45922	+	20.7128i	0.440560	+	0.964691i	0.991495	+	0.130143i	$0.0415438\pi$
$461$	9.45922	+	20.7128i	0.440560	+	0.964691i	−0.550935	+	0.834548i	$0.685729\pi$
$462$	−4.87849	−	1.86922i	−0.226968	−	0.0869638i
$463$	2.92776	−	6.41090i	0.136065	−	0.297940i	−0.829318	−	0.558776i	$-0.811271\pi$
$463$	2.92776	−	6.41090i	0.136065	−	0.297940i	0.965383	+	0.260836i	$0.0839983\pi$
$464$	−23.4249	+	6.87818i	−1.08747	+	0.319311i
$465$	−0.00329273	+	0.0229014i	−0.000152697	+	0.00106203i
$466$	0.0546756	+	0.0160542i	0.00253280	+	0.000743697i
$467$	−3.90494	−	27.1595i	−0.180699	−	1.25679i	−0.855115	−	0.518439i	$-0.826513\pi$
$467$	−3.90494	−	27.1595i	−0.180699	−	1.25679i	0.674416	−	0.738352i	$-0.264396\pi$
$468$	−4.84852	−	10.6168i	−0.224123	−	0.490761i
$469$	−30.7054	+	35.4359i	−1.41784	+	1.63628i
$470$	2.31479	−	2.67141i	0.106773	−	0.123223i
$471$	−12.0592	−	7.74995i	−0.555657	−	0.357099i
$472$	8.90923	+	5.72561i	0.410080	+	0.263543i
$473$	16.8278	−	30.1760i	0.773742	−	1.38749i
$474$	−1.55131	+	0.996963i	−0.0712538	+	0.0457920i
$475$	−0.0611463			−0.00280558
$476$	−34.1552	−	39.4172i	−1.56550	−	1.80668i
$477$	−3.66394	+	8.02290i	−0.167760	+	0.367343i
$478$	1.43166	+	0.420374i	0.0654827	+	0.0192275i
$479$	5.69776	−	6.57557i	0.260337	−	0.300445i	−0.610500	−	0.792016i	$-0.709032\pi$
$479$	5.69776	−	6.57557i	0.260337	−	0.300445i	0.870838	+	0.491571i	$0.163577\pi$
$480$	−3.48710	−	2.24102i	−0.159164	−	0.102288i
$481$	37.2834			1.69998
$482$	−4.77885	−	1.40320i	−0.217670	−	0.0639138i
$483$	46.2826			2.10593
$484$	20.6945	−	2.60028i	0.940659	−	0.118195i
$485$	−8.69657			−0.394891
$486$	−4.57924	−	1.34459i	−0.207718	−	0.0609916i
$487$	2.39942			0.108728			0.0543640	−	0.998521i	$-0.482687\pi$
$487$	2.39942			0.108728			0.0543640	+	0.998521i	$0.482687\pi$
$488$	0.313813	+	0.201675i	0.0142056	+	0.00912941i
$489$	6.40574	−	7.39262i	0.289678	−	0.334306i
$490$	3.41703	+	1.00333i	0.154365	+	0.0453258i
$491$	−3.36582	+	7.37011i	−0.151897	+	0.332609i	−0.970249	−	0.242109i	$-0.922161\pi$
$491$	−3.36582	+	7.37011i	−0.151897	+	0.332609i	0.818352	+	0.574718i	$0.194888\pi$
$492$	−2.87556	−	3.31858i	−0.129640	−	0.149613i
$493$	46.6639			2.10163
$494$	0.0608667	−	0.0391167i	0.00273852	−	0.00175994i
$495$	5.19299	+	1.98972i	0.233407	+	0.0894312i
$496$	−0.0573170	−	0.0368354i	−0.00257361	−	0.00165396i
$497$	33.7312	+	21.6778i	1.51305	+	0.972380i
$498$	−1.78645	+	2.06167i	−0.0800526	+	0.0923856i
$499$	6.46034	−	7.45562i	0.289204	−	0.333760i	−0.592492	−	0.805576i	$-0.701856\pi$
$499$	6.46034	−	7.45562i	0.289204	−	0.333760i	0.881697	+	0.471816i	$0.156401\pi$
$500$	0.787673	+	1.72476i	0.0352258	+	0.0771337i
$501$	−2.84649	−	19.7978i	−0.127172	−	0.884499i
$502$	2.61584	+	0.768078i	0.116750	+	0.0342810i
$503$	2.94965	−	20.5153i	0.131518	−	0.914731i	−0.812058	−	0.583577i	$-0.801653\pi$
$503$	2.94965	−	20.5153i	0.131518	−	0.914731i	0.943577	−	0.331155i	$-0.107438\pi$
$504$	8.58324	−	2.52027i	0.382328	−	0.112262i
$505$	−3.91945	+	8.58241i	−0.174413	+	0.381912i
$506$	8.92845	−	4.77262i	0.396918	−	0.212169i
$507$	0.227957	+	0.499157i	0.0101239	+	0.0221684i
$508$	−4.87909	−	5.63077i	−0.216475	−	0.249825i
$509$	0.814544	+	5.66528i	0.0361040	+	0.251109i	0.999878	−	0.0156107i	$-0.00496925\pi$
$509$	0.814544	+	5.66528i	0.0361040	+	0.251109i	−0.963774	+	0.266720i	$0.914060\pi$
$510$	1.57208	+	1.81428i	0.0696130	+	0.0803376i
$511$	3.82355			0.169144
$512$	17.4260	−	11.1990i	0.770127	−	0.494930i
$513$	−0.0468151	+	0.325606i	−0.00206694	+	0.0143759i
$514$	1.18577	−	0.762049i	0.0523022	−	0.0336126i
$515$	−9.94641	+	6.39217i	−0.438291	+	0.281673i
$516$	−3.23370	−	22.4909i	−0.142356	−	0.990105i
$517$	21.5372	+	29.3106i	0.947205	+	1.28908i
$518$	−1.97916	+	13.7654i	−0.0869592	+	0.604815i
$519$	5.77773	+	12.6515i	0.253614	+	0.555337i
$520$	−3.87830	−	2.49243i	−0.170075	−	0.109300i
$521$	17.0467	−	10.9553i	0.746831	−	0.479959i	−0.111045	−	0.993815i	$-0.535420\pi$
$521$	17.0467	−	10.9553i	0.746831	−	0.479959i	0.857876	+	0.513856i	$0.171783\pi$
$522$	−1.61807	+	3.54308i	−0.0708210	+	0.155076i
$523$	−8.62861	−	5.54527i	−0.377303	−	0.242478i	0.338220	−	0.941067i	$-0.390175\pi$
$523$	−8.62861	−	5.54527i	−0.377303	−	0.242478i	−0.715523	+	0.698589i	$0.753811\pi$
$524$	−34.9954			−1.52878
$525$	4.68910	+	1.37685i	0.204649	+	0.0600905i
$526$	1.48740	−	1.71655i	0.0648537	−	0.0748452i
$527$	0.0852806	+	0.0984190i	0.00371488	+	0.00428720i
$528$	9.21954	−	9.05684i	0.401229	−	0.394148i
$529$	−43.6720	+	50.4001i	−1.89878	+	2.19131i
$530$	0.241288	+	1.67819i	0.0104809	+	0.0728961i
$531$	−13.5676	+	3.98381i	−0.588785	+	0.172883i
$532$	−0.204617	−	0.448049i	−0.00887127	−	0.0194254i
$533$	−4.83987	−	5.58551i	−0.209638	−	0.241935i
$534$	0.474422	−	3.29968i	0.0205303	−	0.142791i
$535$	0.643672	+	4.47683i	0.0278283	+	0.193550i
$536$	5.75757	+	12.6073i	0.248689	+	0.544554i
$537$	−6.09473	+	13.3456i	−0.263007	+	0.575905i
$538$	−0.841768	−	0.247166i	−0.0362912	−	0.0106561i
$539$	−17.8478	+	32.0051i	−0.768758	+	1.37856i
$540$	9.78749	−	2.87386i	0.421186	−	0.123671i
$541$	4.57746	−	31.8369i	0.196800	−	1.36878i	−0.616694	−	0.787203i	$-0.711528\pi$
$541$	4.57746	−	31.8369i	0.196800	−	1.36878i	0.813494	−	0.581573i	$-0.197563\pi$
$542$	−3.79947	+	8.31967i	−0.163201	+	0.357361i
$543$	−17.7738	+	5.21886i	−0.762747	+	0.223963i
$544$	−22.3859	+	6.57310i	−0.959788	+	0.281819i
$545$	2.63363	−	0.773303i	0.112812	−	0.0331247i
$546$	−5.54847	+	1.62918i	−0.237452	+	0.0697223i
$547$	16.6130	−	36.3773i	0.710319	−	1.55538i	−0.116674	−	0.993170i	$-0.537223\pi$
$547$	16.6130	−	36.3773i	0.710319	−	1.55538i	0.826993	−	0.562212i	$-0.190049\pi$
$548$	2.25561	−	15.6881i	0.0963548	−	0.670162i
$549$	−0.477897	+	0.140323i	−0.0203962	+	0.00598885i
$550$	1.04656	−	0.217927i	0.0446256	−	0.00929244i
$551$	0.422839	+	0.124157i	0.0180135	+	0.00528925i
$552$	5.68318	−	12.4444i	0.241892	−	0.529670i
$553$	8.77749	+	19.2200i	0.373257	+	0.817318i
$554$	0.428838	+	2.98264i	0.0182196	+	0.126720i
$555$	−1.66261	+	11.5637i	−0.0705740	+	0.490853i
$556$	−4.43795	−	5.12166i	−0.188211	−	0.217207i
$557$	3.27323	+	7.16737i	0.138691	+	0.303691i	0.966214	−	0.257741i	$-0.0829780\pi$
$557$	3.27323	+	7.16737i	0.138691	+	0.303691i	−0.827523	+	0.561432i	$0.810251\pi$
$558$	−0.0104298	+	0.00306247i	−0.000441530	+	0.000129645i
$559$	−5.44265	−	37.8545i	−0.230200	−	1.60107i
$560$	−9.42428	+	10.8762i	−0.398249	+	0.459604i
$561$	−21.7852	+	11.6451i	−0.919771	+	0.491655i
$562$	−3.08613	−	3.56158i	−0.130180	−	0.150236i
$563$	−22.1441	+	25.5556i	−0.933262	+	1.07704i	0.0636071	+	0.997975i	$0.479740\pi$
$563$	−22.1441	+	25.5556i	−0.933262	+	1.07704i	−0.996869	+	0.0790670i	$0.974806\pi$
$564$	22.9512	+	6.73908i	0.966419	+	0.283766i
$565$	−3.41821			−0.143805
$566$	1.11231	+	0.714836i	0.0467538	+	0.0300468i
$567$	2.04425	−	4.47628i	0.0858503	−	0.187986i
$568$	9.97066	−	6.40775i	0.418359	−	0.268863i
$569$	−16.7049	−	10.7356i	−0.700305	−	0.450059i	0.141431	−	0.989948i	$-0.454830\pi$
$569$	−16.7049	−	10.7356i	−0.700305	−	0.450059i	−0.841736	+	0.539889i	$0.818466\pi$
$570$	0.00941804	+	0.0206226i	0.000394478	+	0.000863787i
$571$	5.02628	−	34.9585i	0.210343	−	1.46297i	−0.561670	−	0.827362i	$-0.689841\pi$
$571$	5.02628	−	34.9585i	0.210343	−	1.46297i	0.772013	−	0.635607i	$-0.219250\pi$
$572$	16.4693	−	16.1786i	0.688614	−	0.676462i
$573$	−3.46322	−	24.0873i	−0.144678	−	1.00626i
$574$	2.31914	−	1.49042i	0.0967989	−	0.0622089i
$575$	−7.96703	+	5.12010i	−0.332248	+	0.213523i
$576$	−1.33951	+	9.31652i	−0.0558130	+	0.388188i
$577$	−27.0819	+	17.4045i	−1.12743	+	0.724558i	−0.965023	−	0.262165i	$-0.915563\pi$
$577$	−27.0819	+	17.4045i	−1.12743	+	0.724558i	−0.162411	+	0.986723i	$0.551927\pi$
$578$	8.03265			0.334114
$579$	−4.36106	−	5.03293i	−0.181239	−	0.209162i
$580$	−1.94481	−	13.5264i	−0.0807537	−	0.561655i
$581$	20.4695	+	23.6231i	0.849219	+	0.980051i
$582$	1.33949	+	2.93307i	0.0555235	+	0.121580i
$583$	−17.3898	−	1.39944i	−0.720211	−	0.0579589i
$584$	0.469505	−	1.02807i	0.0194283	−	0.0425420i
$585$	5.90616	−	1.73420i	0.244190	−	0.0717005i
$586$	0.498114	−	3.46446i	0.0205769	−	0.143115i
$587$	−14.7425	−	4.32878i	−0.608486	−	0.178668i	−0.0370490	−	0.999313i	$-0.511796\pi$
$587$	−14.7425	−	4.32878i	−0.608486	−	0.178668i	−0.571437	+	0.820646i	$0.693614\pi$
$588$	3.42970	+	23.8541i	0.141439	+	0.983727i
$589$	0.000510899		0.00111871i	2.10512e−5		4.60958e-5i
$590$	−1.78004	+	2.05428i	−0.0732833	+	0.0845734i
$591$	5.54435	−	6.39852i	0.228064	−	0.263200i
$592$	−28.9414	−	18.5995i	−1.18948	−	0.764435i
$593$	12.4388	+	7.99393i	0.510801	+	0.328272i	0.770523	−	0.637412i	$-0.219995\pi$
$593$	12.4388	+	7.99393i	0.510801	+	0.328272i	−0.259723	+	0.965683i	$0.583631\pi$
$594$	−0.359195	−	5.73983i	−0.0147380	−	0.235508i
$595$	23.1404	−	14.8714i	0.948663	−	0.609669i
$596$	−15.6762			−0.642120
$597$	−3.75563	−	4.33423i	−0.153708	−	0.177388i
$598$	4.65516	−	10.1934i	0.190364	−	0.416838i
$599$	−18.7638	−	5.50954i	−0.766667	−	0.225114i	−0.125062	−	0.992149i	$-0.539913\pi$
$599$	−18.7638	−	5.50954i	−0.766667	−	0.225114i	−0.641605	+	0.767035i	$0.721731\pi$
$600$	0.945994	−	1.09174i	0.0386200	−	0.0445699i
$601$	15.4021	+	9.89831i	0.628264	+	0.403761i	0.815666	−	0.578523i	$-0.196371\pi$
$601$	15.4021	+	9.89831i	0.628264	+	0.403761i	−0.187403	+	0.982283i	$0.560007\pi$
$602$	14.2651			0.581402
$603$	−17.7561	−	5.21367i	−0.723085	−	0.212317i
$604$	12.6813			0.515993
$605$	−0.195833	+	10.9983i	−0.00796174	+	0.447143i
$606$	3.49826			0.142107
$607$	−43.0678	−	12.6458i	−1.74807	−	0.513279i	−0.757804	−	0.652483i	$-0.773728\pi$
$607$	−43.0678	−	12.6458i	−1.74807	−	0.513279i	−0.990264	+	0.139204i	$0.955546\pi$
$608$	−0.220336			−0.00893580
$609$	−29.6304	−	19.0423i	−1.20069	−	0.771634i
$610$	−0.0626991	+	0.0723586i	−0.00253861	+	0.00292971i
$611$	38.6293	+	11.3426i	1.56277	+	0.458871i
$612$	8.55126	−	18.7246i	0.345664	−	0.756899i
$613$	−22.0003	−	25.3897i	−0.888584	−	1.02548i	−0.999499	−	0.0316503i	$-0.989924\pi$
$613$	−22.0003	−	25.3897i	−0.888584	−	1.02548i	0.110915	−	0.993830i	$-0.464622\pi$
$614$	9.34407			0.377096
$615$	1.94822	−	1.25204i	0.0785597	−	0.0504872i
$616$	10.4774	+	14.2590i	0.422148	+	0.574513i
$617$	−4.88145	−	3.13711i	−0.196520	−	0.126295i	0.438680	−	0.898643i	$-0.355446\pi$
$617$	−4.88145	−	3.13711i	−0.196520	−	0.126295i	−0.635200	+	0.772348i	$0.719082\pi$
$618$	3.68786	+	2.37004i	0.148348	+	0.0953372i
$619$	17.4966	−	20.1921i	0.703247	−	0.811590i	−0.285941	−	0.958247i	$-0.592306\pi$
$619$	17.4966	−	20.1921i	0.703247	−	0.811590i	0.989187	+	0.146657i	$0.0468515\pi$
$620$	0.0249744	−	0.0288220i	0.00100300	−	0.00115752i
$621$	21.1650	+	46.3448i	0.849320	+	1.85975i
$622$	−0.252577	−	1.75671i	−0.0101274	−	0.0704376i
$623$	−36.6500	−	10.7614i	−1.46835	−	0.431147i
$624$	2.03584	−	14.1596i	0.0814988	−	0.566836i
$625$	−0.959493	+	0.281733i	−0.0383797	+	0.0112693i
$626$	−1.10017	+	2.40903i	−0.0439716	+	0.0962843i
$627$	−0.228387	+	0.0475573i	−0.00912090	+	0.00189926i
$628$	9.81553	+	21.4930i	0.391682	+	0.857665i
$629$	43.0611	+	49.6952i	1.71696	+	1.98148i
$630$	0.326759	+	2.27266i	0.0130184	+	0.0905450i
$631$	28.6275	+	33.0379i	1.13964	+	1.31522i	0.942256	+	0.334893i	$0.108700\pi$
$631$	28.6275	+	33.0379i	1.13964	+	1.31522i	0.197387	+	0.980326i	$0.436754\pi$
$632$	6.24567			0.248440
$633$	−5.18380	+	3.33142i	−0.206037	+	0.132412i
$634$	−0.774826	+	5.38903i	−0.0307723	+	0.214026i
$635$	3.30562	−	2.12439i	0.131180	−	0.0843040i
$636$	−9.65189	+	6.20289i	−0.382722	+	0.245961i
$637$	5.77255	+	40.1490i	0.228717	+	1.59076i
$638$	−7.67968	−	0.618021i	−0.304042	−	0.0244677i
$639$	−2.25214	+	15.6640i	−0.0890934	+	0.619658i
$640$	3.74545	+	8.20140i	0.148052	+	0.324189i
$641$	0.0248515	+	0.0159711i	0.000981575	+	0.000630820i	0.541132	−	0.840938i	$-0.317996\pi$
$641$	0.0248515	+	0.0159711i	0.000981575	+	0.000630820i	−0.540150	+	0.841569i	$0.681632\pi$
$642$	1.41075	−	0.906632i	0.0556778	−	0.0357819i
$643$	7.07124	−	15.4839i	0.278863	−	0.610624i	−0.717432	−	0.696628i	$-0.754683\pi$
$643$	7.07124	−	15.4839i	0.278863	−	0.610624i	0.996295	+	0.0860045i	$0.0274100\pi$
$644$	−64.1779	−	41.2447i	−2.52897	−	1.62527i
$645$	11.9836			0.471852
$646$	0.122438	+	0.0359510i	0.00481725	+	0.00141447i
$647$	7.06818	−	8.15712i	0.277879	−	0.320689i	−0.599604	−	0.800297i	$-0.704675\pi$
$647$	7.06818	−	8.15712i	0.277879	−	0.320689i	0.877483	+	0.479607i	$0.159221\pi$
$648$	−0.952558	−	1.09931i	−0.0374200	−	0.0431850i
$649$	−16.5618	−	22.5395i	−0.650108	−	0.884751i
$650$	0.774876	−	0.894254i	0.0303931	−	0.0350755i
$651$	−0.0139888	−	0.0972945i	−0.000548266	−	0.00381327i
$652$	−15.4705	+	4.54254i	−0.605870	+	0.177900i
$653$	14.8916	+	32.6080i	0.582752	+	1.27605i	0.939724	+	0.341934i	$0.111082\pi$
$653$	14.8916	+	32.6080i	0.582752	+	1.27605i	−0.356972	+	0.934115i	$0.616191\pi$
$654$	−0.666453	−	0.769128i	−0.0260604	−	0.0300753i
$655$	2.62662	−	18.2686i	0.102631	−	0.713812i
$656$	0.970536	+	6.75023i	0.0378931	+	0.263552i
$657$	0.626887	+	1.37269i	0.0244572	+	0.0535538i
$658$	−6.23837	+	13.6601i	−0.243197	+	0.532527i
$659$	−19.3228	−	5.67370i	−0.752711	−	0.221016i	−0.117201	−	0.993108i	$-0.537392\pi$
$659$	−19.3228	−	5.67370i	−0.752711	−	0.221016i	−0.635510	+	0.772092i	$0.719210\pi$
$660$	4.28349	+	5.82953i	0.166735	+	0.226914i
$661$	13.2681	−	3.89588i	0.516071	−	0.151532i	−0.0133181	−	0.999911i	$-0.504239\pi$
$661$	13.2681	−	3.89588i	0.516071	−	0.151532i	0.529389	+	0.848379i	$0.322421\pi$
$662$	−1.47396	+	10.2516i	−0.0572872	+	0.398441i
$663$	−11.3585	+	24.8716i	−0.441126	+	0.965932i
$664$	8.86527	−	2.60308i	0.344039	−	0.101019i
$665$	0.249251	−	0.0731868i	0.00966556	−	0.00283806i
$666$	−5.26639	+	1.54635i	−0.204068	+	0.0599199i
$667$	65.4899	−	19.2296i	2.53578	−	0.744571i
$668$	−13.6957	+	29.9893i	−0.529901	+	1.16032i
$669$	−1.93318	+	13.4456i	−0.0747412	+	0.519837i
$670$	−3.41325	+	1.00222i	−0.131865	+	0.0387191i
$671$	−0.583362	−	0.793915i	−0.0225204	−	0.0306487i
$672$	16.8968	+	4.96136i	0.651809	+	0.191388i
$673$	−15.4700	+	33.8746i	−0.596325	+	1.30577i	0.335218	+	0.942141i	$0.391190\pi$
$673$	−15.4700	+	33.8746i	−0.596325	+	1.30577i	−0.931543	+	0.363630i	$0.881537\pi$
$674$	1.02701	+	2.24884i	0.0395589	+	0.0866219i
$675$	0.765625	+	5.32504i	0.0294689	+	0.204961i
$676$	0.128725	−	0.895303i	0.00495096	−	0.0344347i
$677$	15.0438	+	17.3614i	0.578179	+	0.667255i	0.967212	−	0.253969i	$-0.0817362\pi$
$677$	15.0438	+	17.3614i	0.578179	+	0.667255i	−0.389033	+	0.921224i	$0.627191\pi$
$678$	0.526488	+	1.15285i	0.0202197	+	0.0442749i
$679$	35.4499	−	10.4090i	1.36044	−	0.399462i
$680$	−1.15714	−	8.04808i	−0.0443742	−	0.308630i
$681$	−3.24746	+	3.74777i	−0.124443	+	0.143615i
$682$	−0.0127315	−	0.0173267i	−0.000487516	−	0.000663475i
$683$	−12.1195	−	13.9867i	−0.463741	−	0.535186i	0.474919	−	0.880030i	$-0.342477\pi$
$683$	−12.1195	−	13.9867i	−0.463741	−	0.535186i	−0.938660	+	0.344844i	$0.887932\pi$
$684$	0.127306	−	0.146919i	0.00486767	−	0.00561759i
$685$	8.02031	+	2.35498i	0.306440	+	0.0899790i
$686$	−5.54438			−0.211685
$687$	12.8835	+	8.27975i	0.491538	+	0.315892i
$688$	−14.6595	+	32.0998i	−0.558888	+	1.22379i
$689$	−16.2451	+	10.4401i	−0.618891	+	0.397737i
$690$	2.95396	+	1.89839i	0.112455	+	0.0722707i
$691$	−4.88148	−	10.6889i	−0.185700	−	0.406627i	0.793769	−	0.608219i	$-0.208116\pi$
$691$	−4.88148	−	10.6889i	−0.185700	−	0.406627i	−0.979470	+	0.201592i	$0.935388\pi$
$692$	3.26262	−	22.6920i	0.124026	−	0.862621i
$693$	−23.5498	−	1.89516i	−0.894582	−	0.0719913i
$694$	1.20698	+	8.39471i	0.0458162	+	0.318659i
$695$	3.00674	−	1.93232i	0.114052	−	0.0732969i
$696$	−8.75849	+	5.62874i	−0.331990	+	0.213357i
$697$	1.85505	−	12.9022i	0.0702651	−	0.488704i
$698$	−0.855572	+	0.549843i	−0.0323839	+	0.0208118i
$699$	−0.203371			−0.00769219
$700$	−5.27519	−	6.08790i	−0.199384	−	0.230101i
$701$	−2.22388	−	15.4674i	−0.0839947	−	0.584196i	−0.987738	−	0.156121i	$-0.950101\pi$
$701$	−2.22388	−	15.4674i	−0.0839947	−	0.584196i	0.903743	−	0.428075i	$-0.140808\pi$
$702$	−4.16867	−	4.81090i	−0.157336	−	0.181576i
$703$	0.257971	+	0.564878i	0.00972956	+	0.0213048i
$704$	−18.2268	+	3.79538i	−0.686947	+	0.143044i
$705$	−5.24061	+	11.4753i	−0.197373	+	0.432186i
$706$	10.6811	−	3.13626i	0.401989	−	0.118035i
$707$	5.70452	−	39.6758i	0.214541	−	1.49216i
$708$	−17.6491	−	5.18226i	−0.663295	−	0.194761i
$709$	−1.77477	−	12.3438i	−0.0666530	−	0.463582i	−0.995626	−	0.0934332i	$-0.970216\pi$
$709$	−1.77477	−	12.3438i	−0.0666530	−	0.463582i	0.928973	−	0.370149i	$-0.120693\pi$
$710$	1.26371	+	2.76714i	0.0474262	+	0.103849i
$711$	−5.46106	+	6.30240i	−0.204806	+	0.236359i
$712$	−7.39389	+	8.53300i	−0.277098	+	0.319788i
$713$	0.160243	+	0.102982i	0.00600115	+	0.00385671i
$714$	−8.57983	−	5.51392i	−0.321092	−	0.206353i
$715$	7.20956	+	9.81171i	0.269622	+	0.366937i
$716$	20.3442	−	13.0744i	0.760299	−	0.488614i
$717$	−5.32519			−0.198873
$718$	0.124689	+	0.143899i	0.00465337	+	0.00537027i
$719$	6.87854	−	15.0619i	0.256526	−	0.561714i	−0.736925	−	0.675975i	$-0.763723\pi$
$719$	6.87854	−	15.0619i	0.256526	−	0.561714i	0.993451	+	0.114261i	$0.0364500\pi$
$720$	−5.44981	−	1.60021i	−0.203103	−	0.0596363i
$721$	32.8938	−	37.9615i	1.22503	−	1.41376i
$722$	−5.15087	−	3.31027i	−0.191696	−	0.123195i
$723$	17.7753			0.661071
$724$	29.2969	+	8.60235i	1.08881	+	0.319704i
$725$	7.20714			0.267666
$726$	3.73951	−	1.62796i	0.138786	−	0.0604191i
$727$	39.8865			1.47931			0.739655	−	0.672986i	$-0.234989\pi$
$727$	39.8865			1.47931			0.739655	+	0.672986i	$0.234989\pi$
$728$	18.7924	+	5.51794i	0.696492	+	0.204509i
$729$	20.5078			0.759548
$730$	0.244036	+	0.156832i	0.00903218	+	0.00580463i
$731$	44.1703	−	50.9752i	1.63370	−	1.88539i
$732$	−0.621662	−	0.182536i	−0.0229773	−	0.00674674i
$733$	7.80801	−	17.0972i	0.288396	−	0.631498i	−0.708875	−	0.705334i	$-0.750797\pi$
$733$	7.80801	−	17.0972i	0.288396	−	0.631498i	0.997270	+	0.0738361i	$0.0235242\pi$
$734$	−3.24831	−	3.74875i	−0.119897	−	0.138369i
$735$	−12.7099			−0.468812
$736$	−28.7086	+	18.4499i	−1.05821	+	0.680072i
$737$	−2.28622	−	36.5332i	−0.0842142	−	1.34572i
$738$	0.915307	+	0.588232i	0.0336929	+	0.0216531i
$739$	3.31686	+	2.13162i	0.122013	+	0.0784128i	0.600224	−	0.799832i	$-0.295078\pi$
$739$	3.31686	+	2.13162i	0.122013	+	0.0784128i	−0.478211	+	0.878245i	$0.658715\pi$
$740$	12.6105	−	14.5533i	0.463570	−	0.534988i
$741$	−0.169098	+	0.195149i	−0.00621197	+	0.00716900i
$742$	−2.99222	−	6.55205i	−0.109848	−	0.240533i
$743$	5.64048	+	39.2304i	0.206929	+	1.43923i	0.783100	+	0.621896i	$0.213637\pi$
$743$	5.64048	+	39.2304i	0.206929	+	1.43923i	−0.576171	+	0.817329i	$0.695454\pi$
$744$	−0.0278782	−	0.00818577i	−0.00102206	−	0.000300105i
$745$	1.17659	−	8.18338i	0.0431070	−	0.299816i
$746$	11.4920	−	3.37437i	0.420753	−	0.123544i
$747$	−5.12485	+	11.2219i	−0.187509	+	0.410586i
$748$	40.5860	+	3.26615i	1.48397	+	0.119422i
$749$	−7.98219	−	17.4786i	−0.291663	−	0.638653i
$750$	0.242805	+	0.280212i	0.00886598	+	0.0102319i
$751$	1.54280	+	10.7304i	0.0562974	+	0.391557i	0.998415	+	0.0562752i	$0.0179224\pi$
$751$	1.54280	+	10.7304i	0.0562974	+	0.391557i	−0.942118	+	0.335282i	$0.891168\pi$
$752$	−24.3276	−	28.0756i	−0.887138	−	1.02381i
$753$	−9.72982			−0.354574
$754$	−7.17419	+	4.61057i	−0.261269	+	0.167907i
$755$	−0.951807	+	6.61996i	−0.0346398	+	0.240925i
$756$	−36.4571	+	23.4296i	−1.32593	+	0.852125i
$757$	15.1060	−	9.70805i	0.549038	−	0.352845i	−0.236527	−	0.971625i	$-0.576009\pi$
$757$	15.1060	−	9.70805i	0.549038	−	0.352845i	0.785564	+	0.618780i	$0.212373\pi$
$758$	0.101251	+	0.704216i	0.00367760	+	0.0255783i
$759$	−25.7754	+	25.3205i	−0.935587	+	0.919076i
$760$	0.0109279	−	0.0760053i	0.000396397	−	0.00275700i
$761$	−10.1312	−	22.1841i	−0.367254	−	0.804174i	−0.999566	−	0.0294604i	$-0.990621\pi$
$761$	−10.1312	−	22.1841i	−0.367254	−	0.804174i	0.632312	−	0.774714i	$-0.282106\pi$
$762$	−1.22564	−	0.787668i	−0.0444001	−	0.0285342i
$763$	−9.80992	+	6.30445i	−0.355143	+	0.228236i
$764$	−16.6630	+	36.4869i	−0.602847	+	1.32005i
$765$	9.13295	+	5.86939i	0.330202	+	0.212208i
$766$	4.36958			0.157879
$767$	−29.7054	−	8.72228i	−1.07260	−	0.314943i
$768$	−6.26813	+	7.23381i	−0.226182	+	0.261028i
$769$	0.484294	+	0.558905i	0.0174641	+	0.0201546i	0.764414	−	0.644725i	$-0.223028\pi$
$769$	0.484294	+	0.558905i	0.0174641	+	0.0201546i	−0.746950	+	0.664880i	$0.768483\pi$
$770$	−4.00528	+	2.14098i	−0.144340	+	0.0771557i
$771$	−3.29427	+	3.80179i	−0.118640	+	0.136918i
$772$	1.56219	+	10.8653i	0.0562246	+	0.391050i
$773$	−19.9554	+	5.85942i	−0.717744	+	0.210749i	−0.620156	−	0.784478i	$-0.712931\pi$
$773$	−19.9554	+	5.85942i	−0.717744	+	0.210749i	−0.0975879	+	0.995227i	$0.531113\pi$
$774$	2.33882	+	5.12131i	0.0840673	+	0.184082i
$775$	0.0131714	+	0.0152006i	0.000473131	+	0.000546022i
$776$	1.55423	−	10.8099i	0.0557936	−	0.388053i
$777$	−7.06345	−	49.1274i	−0.253400	−	1.76244i
$778$	4.90760	+	10.7461i	0.175946	+	0.385268i
$779$	0.0511376	−	0.111976i	0.00183219	−	0.00401194i
$780$	7.68289	+	2.25590i	0.275092	+	0.0807742i
$781$	−30.6449	+	6.38123i	−1.09656	+	0.228339i
$782$	18.9634	−	5.56814i	0.678128	−	0.199116i
$783$	5.51796	−	38.3783i	0.197196	−	1.37153i
$784$	15.5481	−	34.0455i	0.555288	−	1.21591i
$785$	−11.9567	+	3.51079i	−0.426751	+	0.125306i
$786$	−6.56595	+	1.92794i	−0.234200	+	0.0687672i
$787$	29.9919	−	8.80641i	1.06910	−	0.313915i	0.300587	−	0.953754i	$-0.402817\pi$
$787$	29.9919	−	8.80641i	1.06910	−	0.313915i	0.768508	+	0.639840i	$0.220999\pi$
$788$	−13.3901	+	3.93169i	−0.477003	+	0.140061i
$789$	−3.36742	+	7.37362i	−0.119883	+	0.262508i
$790$	−0.228138	+	1.58674i	−0.00811680	+	0.0564536i
$791$	13.9337	−	4.09130i	0.495425	−	0.145470i
$792$	−3.40132	+	6.09933i	−0.120861	+	0.216730i
$793$	−1.04632	−	0.307228i	−0.0371560	−	0.0109100i
$794$	0.0563247	−	0.123334i	0.00199889	−	0.00437695i
$795$	−2.51365	−	5.50412i	−0.0891498	−	0.195211i
$796$	1.34532	+	9.35691i	0.0476836	+	0.331647i
$797$	−1.04446	+	7.26441i	−0.0369968	+	0.257319i	−0.999923	−	0.0124482i	$-0.996038\pi$
$797$	−1.04446	+	7.26441i	−0.0369968	+	0.257319i	0.962926	+	0.269767i	$0.0869466\pi$
$798$	−0.0630744	−	0.0727917i	−0.00223281	−	0.00257680i
$799$	29.4970	+	64.5894i	1.04353	+	2.28501i
$800$	−3.45746	+	1.01520i	−0.122240	+	0.0358928i
$801$	−2.14547	−	14.9221i	−0.0758065	−	0.527246i
$802$	2.06844	−	2.38711i	0.0730393	−	0.0842918i
$803$	−2.12938	+	2.09181i	−0.0751444	+	0.0738183i
$804$	−15.7643	−	18.1930i	−0.555964	−	0.641617i
$805$	26.3478	−	30.4070i	0.928638	−	1.07171i
$806$	−0.0228354	−	0.00670507i	−0.000804342	−	0.000236176i
$807$	3.13103			0.110217
$808$	−9.96753	−	6.40574i	−0.350656	−	0.225353i
$809$	−15.6259	+	34.2160i	−0.549378	+	1.20297i	0.407694	+	0.913119i	$0.366333\pi$
$809$	−15.6259	+	34.2160i	−0.549378	+	1.20297i	−0.957072	+	0.289851i	$0.906394\pi$
$810$	0.314078	−	0.201846i	0.0110356	−	0.00709214i
$811$	−35.7955	−	23.0044i	−1.25695	−	0.807793i	−0.269087	−	0.963116i	$-0.586722\pi$
$811$	−35.7955	−	23.0044i	−1.25695	−	0.807793i	−0.987864	+	0.155322i	$0.950358\pi$
$812$	24.1176	+	52.8102i	0.846362	+	1.85328i
$813$	4.64544	−	32.3098i	0.162923	−	1.13315i
$814$	−6.42860	−	8.74887i	−0.225322	−	0.306648i
$815$	−1.21018	−	8.41695i	−0.0423906	−	0.294833i
$816$	21.2247	−	13.6403i	0.743012	−	0.477505i
$817$	0.535871	−	0.344383i	0.0187478	−	0.0120484i
$818$	0.675035	−	4.69497i	0.0236021	−	0.164156i
$819$	−21.9997	+	14.1383i	−0.768731	+	0.494033i
$820$	−3.81726			−0.133304
$821$	−1.22399	−	1.41256i	−0.0427174	−	0.0492985i	0.733989	−	0.679162i	$-0.237656\pi$
$821$	−1.22399	−	1.41256i	−0.0427174	−	0.0492985i	−0.776706	+	0.629863i	$0.783111\pi$
$822$	−0.441071	−	3.06771i	−0.0153841	−	0.106999i
$823$	−1.82257	−	2.10336i	−0.0635307	−	0.0733184i	0.723095	−	0.690749i	$-0.242719\pi$
$823$	−1.82257	−	2.10336i	−0.0635307	−	0.0733184i	−0.786625	+	0.617431i	$0.788174\pi$
$824$	−6.16792	−	13.5059i	−0.214870	−	0.470499i
$825$	−3.36467	+	1.79856i	−0.117143	+	0.0626177i
$826$	4.79722	−	10.5045i	0.166917	−	0.365497i
$827$	26.0792	−	7.65755i	0.906864	−	0.266279i	0.205143	−	0.978732i	$-0.434234\pi$
$827$	26.0792	−	7.65755i	0.906864	−	0.266279i	0.701720	+	0.712453i	$0.252416\pi$
$828$	4.28499	−	29.8027i	0.148914	−	1.03572i
$829$	14.8398	+	4.35737i	0.515409	+	0.151338i	0.529085	−	0.848569i	$-0.322535\pi$
$829$	14.8398	+	4.35737i	0.515409	+	0.151338i	−0.0136760	+	0.999906i	$0.504353\pi$
$830$	0.337496	+	2.34734i	0.0117147	+	0.0814773i
$831$	−4.46747	−	9.78240i	−0.154975	−	0.339348i
$832$	−13.4951	+	15.5742i	−0.467859	+	0.539938i
$833$	−46.8476	+	54.0650i	−1.62317	+	1.87324i
$834$	−1.11482	−	0.716451i	−0.0386030	−	0.0248087i
$835$	−14.6273	−	9.40039i	−0.506198	−	0.325314i
$836$	0.359075	+	0.137581i	0.0124189	+	0.00475835i
$837$	0.0910282	−	0.0585003i	0.00314639	−	0.00202206i
$838$	−11.7676			−0.406506
$839$	2.09935	+	2.42278i	0.0724776	+	0.0836437i	0.790830	−	0.612035i	$-0.209649\pi$
$839$	2.09935	+	2.42278i	0.0724776	+	0.0836437i	−0.718353	+	0.695679i	$0.755104\pi$
$840$	−2.54946	+	5.58253i	−0.0879646	+	0.192616i
$841$	−22.0135	−	6.46374i	−0.759086	−	0.222888i
$842$	−2.81070	+	3.24372i	−0.0968630	+	0.111786i
$843$	14.1491	+	9.09306i	0.487320	+	0.313182i
$844$	10.1569			0.349616
$845$	0.457711	+	0.134396i	0.0157457	+	0.00462336i
$846$	−5.92693			−0.203772
$847$	−12.3657	−	45.0667i	−0.424890	−	1.54851i
$848$	17.8186			0.611893
$849$	−4.52768	−	1.32945i	−0.155390	−	0.0456265i
$850$	2.08691			0.0715805
$851$	80.9124	+	51.9992i	2.77364	+	1.78251i
$852$	−13.4808	+	15.5576i	−0.461843	+	0.532996i
$853$	8.50457	+	2.49717i	0.291191	+	0.0855014i	0.424066	−	0.905631i	$-0.360603\pi$
$853$	8.50457	+	2.49717i	0.291191	+	0.0855014i	−0.132875	+	0.991133i	$0.542421\pi$
$854$	0.168974	−	0.370002i	0.00578218	−	0.0126612i
$855$	0.0671406	+	0.0774844i	0.00229616	+	0.00264991i
$856$	−5.67978			−0.194131
$857$	−11.1171	+	7.14450i	−0.379751	+	0.244051i	−0.716566	−	0.697520i	$-0.754287\pi$
$857$	−11.1171	+	7.14450i	−0.379751	+	0.244051i	0.336814	+	0.941571i	$0.390651\pi$
$858$	2.19872	−	3.94279i	0.0750629	−	0.134605i
$859$	−10.5831	−	6.80138i	−0.361092	−	0.232060i	0.347497	−	0.937681i	$-0.387032\pi$
$859$	−10.5831	−	6.80138i	−0.361092	−	0.232060i	−0.708589	+	0.705621i	$0.750668\pi$
$860$	−16.6170	−	10.6791i	−0.566637	−	0.364155i
$861$	−6.44295	+	7.43556i	−0.219575	+	0.253403i
$862$	3.79504	−	4.37971i	0.129260	−	0.149173i
$863$	−5.25217	−	11.5007i	−0.178786	−	0.391487i	0.798928	−	0.601426i	$-0.205401\pi$
$863$	−5.25217	−	11.5007i	−0.178786	−	0.391487i	−0.977714	+	0.209939i	$0.932673\pi$
$864$	2.75887	+	19.1884i	0.0938586	+	0.652801i
$865$	11.6010	+	3.40635i	0.394445	+	0.115819i
$866$	−0.982455	+	6.83312i	−0.0333852	+	0.232199i
$867$	−27.5066	+	8.07666i	−0.934173	+	0.274298i
$868$	−0.0673062	+	0.147380i	−0.00228452	+	0.00500240i
$869$	−15.4033	−	5.90184i	−0.522520	−	0.200206i
$870$	−1.11008	−	2.43073i	−0.0376351	−	0.0824095i
$871$	−26.5330	−	30.6207i	−0.899036	−	1.03754i
$872$	0.490546	+	3.41182i	0.0166120	+	0.115539i
$873$	9.54911	+	11.0203i	0.323189	+	0.372979i
$874$	0.186649			0.00631349
$875$	3.57398	−	2.29686i	0.120823	−	0.0776481i
$876$	−0.279368	+	1.94305i	−0.00943898	+	0.0656495i
$877$	−46.6659	+	29.9903i	−1.57580	+	1.01270i	−0.598422	+	0.801181i	$0.704205\pi$
$877$	−46.6659	+	29.9903i	−1.57580	+	1.01270i	−0.977373	+	0.211521i	$0.932158\pi$
$878$	8.06136	−	5.18072i	0.272058	−	0.174841i
$879$	1.77773	+	12.3644i	0.0599613	+	0.417040i
$880$	−0.701702	−	11.2130i	−0.0236544	−	0.377990i
$881$	−3.04801	+	21.1994i	−0.102690	+	0.714225i	0.871811	+	0.489842i	$0.162946\pi$
$881$	−3.04801	+	21.1994i	−0.102690	+	0.714225i	−0.974501	+	0.224383i	$0.927964\pi$
$882$	−2.48059	−	5.43173i	−0.0835258	−	0.182896i
$883$	15.1012	+	9.70497i	0.508197	+	0.326598i	0.769487	−	0.638662i	$-0.220512\pi$
$883$	15.1012	+	9.70497i	0.508197	+	0.326598i	−0.261291	+	0.965260i	$0.584148\pi$
$884$	37.9145	−	24.3662i	1.27520	−	0.819524i
$885$	4.02996	−	8.82437i	0.135466	−	0.296628i
$886$	2.41043	+	1.54909i	0.0809799	+	0.0520426i
$887$	−5.50859			−0.184960			−0.0924801	−	0.995715i	$-0.529479\pi$
$887$	−5.50859			−0.184960			−0.0924801	+	0.995715i	$0.529479\pi$
$888$	−14.0767	−	4.13328i	−0.472382	−	0.138704i
$889$	−10.9320	+	12.6162i	−0.366649	+	0.423135i
$890$	−1.89776	−	2.19013i	−0.0636131	−	0.0734134i
$891$	1.31044	+	3.61127i	0.0439013	+	0.120982i
$892$	14.6627	−	16.9216i	0.490943	−	0.566578i
$893$	0.0954328	+	0.663750i	0.00319354	+	0.0222115i
$894$	−2.94121	+	0.863617i	−0.0983687	+	0.0288837i
$895$	5.29825	+	11.6016i	0.177101	+	0.387797i
$896$	−25.0840	−	28.9485i	−0.837998	−	0.967101i
$897$	−5.69166	+	39.5864i	−0.190039	+	1.32175i
$898$	−0.281530	−	1.95808i	−0.00939477	−	0.0653421i
$899$	−0.0602183	−	0.131860i	−0.00200839	−	0.00439776i
$900$	1.32072	−	2.89198i	0.0440241	−	0.0963994i
$901$	−32.6783	−	9.59521i	−1.08867	−	0.319663i
$902$	−0.476172	+	2.09880i	−0.0158548	+	0.0698824i
$903$	−48.8487	+	14.3433i	−1.62558	+	0.477314i
$904$	0.610894	−	4.24886i	0.0203180	−	0.141315i
$905$	−6.68958	+	14.6481i	−0.222369	+	0.486920i
$906$	2.37930	−	0.698625i	0.0790469	−	0.0232103i
$907$	−17.7577	+	5.21414i	−0.589636	+	0.173133i	−0.562921	−	0.826510i	$-0.690323\pi$
$907$	−17.7577	+	5.21414i	−0.589636	+	0.173133i	−0.0267144	+	0.999643i	$0.508504\pi$
$908$	7.84292	−	2.30289i	0.260276	−	0.0764241i
$909$	15.1793	−	4.45704i	0.503465	−	0.147831i
$910$	−2.08829	+	4.57272i	−0.0692262	+	0.151584i
$911$	6.89543	−	47.9588i	0.228456	−	1.58895i	−0.476161	−	0.879358i	$-0.657972\pi$
$911$	6.89543	−	47.9588i	0.228456	−	1.58895i	0.704617	−	0.709588i	$-0.251119\pi$
$912$	0.228617	−	0.0671279i	0.00757025	−	0.00222283i
$913$	−24.3236	−	1.95744i	−0.804993	−	0.0647817i
$914$	−12.0766	−	3.54602i	−0.399460	−	0.117292i
$915$	0.141949	−	0.310824i	0.00469267	−	0.0102755i
$916$	−10.4865	−	22.9623i	−0.346485	−	0.758696i
$917$	11.1590	+	77.6122i	0.368501	+	2.56298i
$918$	1.59779	−	11.1129i	0.0527349	−	0.366780i
$919$	32.4477	+	37.4466i	1.07035	+	1.23525i	0.970717	+	0.240226i	$0.0772216\pi$
$919$	32.4477	+	37.4466i	1.07035	+	1.23525i	0.0996337	+	0.995024i	$0.468233\pi$
$920$	−4.94048	−	10.8181i	−0.162883	−	0.356663i
$921$	−31.9974	+	9.39527i	−1.05435	+	0.309585i
$922$	−1.04450	−	7.26467i	−0.0343988	−	0.239249i
$923$	−22.6895	+	26.1851i	−0.746835	+	0.861894i
$924$	−24.4383	−	18.6360i	−0.803961	−	0.613080i
$925$	6.65070	+	7.67532i	0.218674	+	0.252363i
$926$	−1.48761	+	1.71679i	−0.0488858	+	0.0564172i
$927$	19.0216	+	5.58525i	0.624752	+	0.183444i
$928$	25.9704			0.852519
$929$	−19.4112	−	12.4748i	−0.636860	−	0.409285i	0.181984	−	0.983302i	$-0.441748\pi$
$929$	−19.4112	−	12.4748i	−0.636860	−	0.409285i	−0.818844	+	0.574016i	$0.805385\pi$
$930$	0.00309794	−	0.00678355i	0.000101586	−	0.000222441i
$931$	−0.568352	+	0.365258i	−0.0186270	+	0.0119708i
$932$	0.282005	+	0.181234i	0.00923738	+	0.00593650i
$933$	2.63125	+	5.76162i	0.0861431	+	0.188627i
$934$	−1.25864	+	8.75402i	−0.0411839	+	0.286440i
$935$	−4.75125	+	20.9419i	−0.155383	+	0.684872i
$936$	1.10010	+	7.65134i	0.0359578	+	0.250092i
$937$	−1.73797	+	1.11693i	−0.0567772	+	0.0364885i	−0.568721	−	0.822530i	$-0.692562\pi$
$937$	−1.73797	+	1.11693i	−0.0567772	+	0.0364885i	0.511944	+	0.859019i	$0.328925\pi$
$938$	12.7139	−	8.17073i	0.415123	−	0.266784i
$939$	1.34513	−	9.35557i	0.0438966	−	0.305308i
$940$	17.4931	−	11.2422i	0.570564	−	0.366679i
$941$	−32.0801			−1.04578			−0.522891	−	0.852400i	$-0.675147\pi$
$941$	−32.0801			−1.04578			−0.522891	+	0.852400i	$0.675147\pi$
$942$	3.02570	+	3.49184i	0.0985825	+	0.113770i
$943$	−2.71336	−	18.8718i	−0.0883592	−	0.614552i
$944$	18.7076	+	21.5897i	0.608881	+	0.702686i
$945$	−9.49453	−	20.7901i	−0.308857	−	0.676303i
$946$	−7.94442	+	7.80423i	−0.258296	+	0.253737i
$947$	22.3761	−	48.9969i	0.727127	−	1.59219i	−0.0765121	−	0.997069i	$-0.524378\pi$
$947$	22.3761	−	48.9969i	0.727127	−	1.59219i	0.803639	−	0.595117i	$-0.202894\pi$
$948$	−10.4085	+	3.05622i	−0.338054	+	0.0992615i
$949$	−0.470206	+	3.27036i	−0.0152635	+	0.106160i
$950$	0.0189103	+	0.00555256i	0.000613530	+	0.000180149i
$951$	−2.76529	−	19.2330i	−0.0896706	−	0.623673i
$952$	14.3497	+	31.4215i	0.465077	+	1.01838i
$953$	−25.7903	+	29.7636i	−0.835431	+	0.964138i	−0.999752	−	0.0222684i	$-0.992911\pi$
$953$	−25.7903	+	29.7636i	−0.835431	+	0.964138i	0.164321	+	0.986407i	$0.447457\pi$
$954$	1.86166	−	2.14847i	0.0602735	−	0.0695593i
$955$	−17.7965	−	11.4371i	−0.575882	−	0.370097i
$956$	7.38420	+	4.74554i	0.238822	+	0.153482i
$957$	26.9193	−	5.60545i	0.870178	−	0.181198i
$958$	−2.35922	+	1.51618i	−0.0762229	+	0.0489855i
$959$	−35.5120			−1.14674
$960$	−4.22865	−	4.88012i	−0.136479	−	0.157505i
$961$	−12.8777	+	28.1982i	−0.415410	+	0.909620i
$962$	−11.5304	−	3.38563i	−0.371754	−	0.109157i
$963$	4.96626	−	5.73137i	0.160035	−	0.184691i
$964$	−24.6482	−	15.8405i	−0.793866	−	0.510187i
$965$	−5.78923			−0.186362
$966$	−14.3135	−	4.20282i	−0.460529	−	0.135223i
$967$	43.8751			1.41093			0.705463	−	0.708746i	$-0.250739\pi$
$967$	43.8751			1.41093			0.705463	+	0.708746i	$0.250739\pi$
$968$	−13.6359	−	2.20900i	−0.438275	−	0.0710001i
$969$	−0.455418			−0.0146301
$970$	2.68953	+	0.789716i	0.0863555	+	0.0253563i
$971$	−32.0280			−1.02783			−0.513914	−	0.857842i	$-0.671805\pi$
$971$	−32.0280			−1.02783			−0.513914	+	0.857842i	$0.671805\pi$
$972$	−23.6187	−	15.1788i	−0.757570	−	0.486861i
$973$	−9.94361	+	11.4755i	−0.318778	+	0.367889i
$974$	−0.742051	−	0.217886i	−0.0237768	−	0.00698151i
$975$	−1.75429	+	3.84136i	−0.0561823	+	0.123022i
$976$	0.658945	+	0.760463i	0.0210923	+	0.0243418i
$977$	−27.2071			−0.870434			−0.435217	−	0.900326i	$-0.643328\pi$
$977$	−27.2071			−0.870434			−0.435217	+	0.900326i	$0.643328\pi$
$978$	−2.65236	+	1.70457i	−0.0848133	+	0.0545062i
$979$	26.2983	−	14.0575i	0.840497	−	0.449280i
$980$	17.6243	+	11.3264i	0.562987	+	0.361809i
$981$	−3.87174	−	2.48821i	−0.123615	−	0.0794425i
$982$	1.71019	−	1.97366i	0.0545742	−	0.0629820i
$983$	11.9452	−	13.7855i	0.380994	−	0.439690i	−0.532570	−	0.846386i	$-0.678774\pi$
$983$	11.9452	−	13.7855i	0.380994	−	0.439690i	0.913564	+	0.406696i	$0.133319\pi$
$984$	1.20812	+	2.64541i	0.0385134	+	0.0843326i
$985$	−1.04744	−	7.28511i	−0.0333742	−	0.232123i
$986$	−14.4314	−	4.23744i	−0.459589	−	0.134948i
$987$	7.62739	−	53.0496i	0.242782	−	1.68859i
$988$	0.408388	−	0.119913i	0.0129925	−	0.00381495i
$989$	40.9841	−	89.7426i	1.30322	−	2.85365i
$990$	−1.42532	−	1.08691i	−0.0452995	−	0.0345443i
$991$	7.94006	+	17.3863i	0.252224	+	0.552294i	0.992815	−	0.119663i	$-0.0381813\pi$
$991$	7.94006	+	17.3863i	0.252224	+	0.552294i	−0.740590	+	0.671957i	$0.765454\pi$
$992$	0.0474621	+	0.0547742i	0.00150692	+	0.00173908i
$993$	−5.26045	−	36.5872i	−0.166935	−	1.16106i
$994$	−8.46331	−	9.76718i	−0.268440	−	0.309796i
$995$	−4.98554			−0.158052
$996$	−13.5004	+	8.67616i	−0.427776	+	0.274915i
$997$	−4.67435	+	32.5109i	−0.148038	+	1.02963i	0.771388	+	0.636366i	$0.219563\pi$
$997$	−4.67435	+	32.5109i	−0.148038	+	1.02963i	−0.919426	+	0.393263i	$0.871346\pi$
$998$	−2.67497	+	1.71910i	−0.0846747	+	0.0544171i
$999$	45.9633	−	29.5388i	1.45421	−	0.934567i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	605.2.k.b.56.10	✓	220
121.67	even	11	inner	605.2.k.b.551.10	yes	220

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
605.2.k.b.56.10	✓	220	1.1	even	1	trivial
605.2.k.b.551.10	yes	220	121.67	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:	\( N \)	\(=\)	\( 605 = 5 \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	605.k (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.309263 - 0.0908078i) q^{2} +1.15033 q^{3} +(-1.59511 - 1.02511i) q^{4} +(0.654861 - 0.755750i) q^{5} +(-0.355754 - 0.104459i) q^{6} +(-1.76485 + 3.86448i) q^{7} +(0.822368 + 0.949063i) q^{8} -1.67674 q^{9} +O(q^{10})\)	\(q+(-0.309263 - 0.0908078i) q^{2} +1.15033 q^{3} +(-1.59511 - 1.02511i) q^{4} +(0.654861 - 0.755750i) q^{5} +(-0.355754 - 0.104459i) q^{6} +(-1.76485 + 3.86448i) q^{7} +(0.822368 + 0.949063i) q^{8} -1.67674 q^{9} +(-0.271152 + 0.174259i) q^{10} +(-1.13133 - 3.11771i) q^{11} +(-1.83490 - 1.17922i) q^{12} +(-3.08833 - 1.98475i) q^{13} +(0.896728 - 1.03488i) q^{14} +(0.753306 - 0.869361i) q^{15} +(1.40720 + 3.08134i) q^{16} +(-0.921442 - 6.40877i) q^{17} +(0.518554 + 0.152261i) q^{18} +(0.00870202 - 0.0605239i) q^{19} +(-1.81930 + 0.534196i) q^{20} +(-2.03016 + 4.44543i) q^{21} +(0.0667674 + 1.06692i) q^{22} +(-3.93416 - 8.61460i) q^{23} +(0.945994 + 1.09174i) q^{24} +(-0.142315 - 0.989821i) q^{25} +(0.774876 + 0.894254i) q^{26} -5.37979 q^{27} +(6.77667 - 4.35510i) q^{28} +(-1.02568 + 7.13378i) q^{29} +(-0.311914 + 0.200455i) q^{30} +(-0.0169204 + 0.0108741i) q^{31} +(-0.512820 - 3.56674i) q^{32} +(-1.30141 - 3.58639i) q^{33} +(-0.296998 + 2.06567i) q^{34} +(1.76485 + 3.86448i) q^{35} +(2.67459 + 1.71885i) q^{36} +(-8.54369 + 5.49070i) q^{37} +(-0.00818725 + 0.0179276i) q^{38} +(-3.55260 - 2.28312i) q^{39} +1.25579 q^{40} +(1.93166 + 0.567185i) q^{41} +(1.03153 - 1.19045i) q^{42} +(6.82201 + 7.87302i) q^{43} +(-1.39141 + 6.13283i) q^{44} +(-1.09803 + 1.26720i) q^{45} +(0.434416 + 3.02143i) q^{46} +(-10.5225 + 3.08969i) q^{47} +(1.61874 + 3.54455i) q^{48} +(-7.23551 - 8.35023i) q^{49} +(-0.0458708 + 0.319038i) q^{50} +(-1.05996 - 7.37220i) q^{51} +(2.89163 + 6.33179i) q^{52} +(2.18515 - 4.78482i) q^{53} +(1.66377 + 0.488527i) q^{54} +(-3.09707 - 1.18666i) q^{55} +(-5.11900 + 1.50307i) q^{56} +(0.0100102 - 0.0696224i) q^{57} +(0.965008 - 2.11307i) q^{58} +(8.09166 - 2.37593i) q^{59} +(-2.09280 + 0.614502i) q^{60} +(0.285015 - 0.0836880i) q^{61} +(0.00622029 - 0.00182644i) q^{62} +(2.95920 - 6.47974i) q^{63} +(0.798879 - 5.55632i) q^{64} +(-3.52240 + 1.03427i) q^{65} +(0.0768046 + 1.22731i) q^{66} +(10.5897 + 3.10940i) q^{67} +(-5.09992 + 11.1673i) q^{68} +(-4.52558 - 9.90963i) q^{69} +(-0.194878 - 1.35540i) q^{70} +(1.34317 - 9.34193i) q^{71} +(-1.37890 - 1.59133i) q^{72} +(-0.373872 - 0.818666i) q^{73} +(3.14084 - 0.922235i) q^{74} +(-0.163709 - 1.13862i) q^{75} +(-0.0759246 + 0.0876217i) q^{76} +(14.0450 + 1.13027i) q^{77} +(0.891362 + 1.02869i) q^{78} +(3.25695 - 3.75872i) q^{79} +(3.25024 + 0.954357i) q^{80} -1.15831 q^{81} +(-0.545884 - 0.350819i) q^{82} +(3.05644 - 6.69266i) q^{83} +(7.79540 - 5.00980i) q^{84} +(-5.44684 - 3.50047i) q^{85} +(-1.39486 - 3.05432i) q^{86} +(-1.17987 + 8.20620i) q^{87} +(2.02853 - 3.63761i) q^{88} +(1.27955 + 8.89945i) q^{89} +(0.454652 - 0.292187i) q^{90} +(13.1205 - 8.43202i) q^{91} +(-2.55554 + 17.7742i) q^{92} +(-0.0194640 + 0.0125088i) q^{93} +3.53479 q^{94} +(-0.0400423 - 0.0462113i) q^{95} +(-0.589913 - 4.10293i) q^{96} +(-5.69504 - 6.57243i) q^{97} +(1.47941 + 3.23946i) q^{98} +(1.89695 + 5.22759i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 220 q - 2 q^{2} - 24 q^{4} + 22 q^{5} + 8 q^{6} + 4 q^{7} - 6 q^{8} + 212 q^{9}+O(q^{10}) \) 220 * q - 2 * q^2 - 24 * q^4 + 22 * q^5 + 8 * q^6 + 4 * q^7 - 6 * q^8 + 212 * q^9	\( 220 q - 2 q^{2} - 24 q^{4} + 22 q^{5} + 8 q^{6} + 4 q^{7} - 6 q^{8} + 212 q^{9} + 2 q^{10} - 2 q^{11} + 49 q^{12} + 8 q^{13} - 40 q^{14} + 11 q^{15} - 28 q^{16} - 8 q^{17} - 10 q^{18} + 24 q^{20} - 22 q^{21} - 79 q^{22} - 31 q^{23} - 36 q^{24} - 22 q^{25} - 6 q^{26} - 6 q^{27} + 4 q^{28} - 4 q^{29} - 19 q^{30} + 20 q^{31} - 104 q^{32} - 12 q^{34} - 4 q^{35} - 30 q^{36} - 93 q^{37} + 8 q^{38} + 16 q^{39} + 6 q^{40} - 12 q^{41} - 8 q^{42} - 43 q^{43} + 9 q^{44} + 30 q^{45} - 124 q^{46} - 42 q^{47} - 158 q^{48} - 38 q^{49} - 2 q^{50} + 27 q^{51} + 146 q^{52} + 74 q^{53} + 93 q^{54} + 2 q^{55} + 25 q^{56} - 55 q^{57} + 26 q^{58} + 10 q^{59} - 16 q^{60} - 4 q^{61} - 33 q^{62} + 20 q^{63} + 32 q^{64} - 8 q^{65} - 69 q^{66} - 47 q^{67} - 24 q^{68} - 82 q^{69} - 15 q^{70} + 2 q^{71} - 294 q^{72} + 30 q^{73} - 112 q^{74} + 132 q^{76} + 136 q^{77} - 115 q^{78} + 58 q^{79} + 28 q^{80} + 220 q^{81} + 32 q^{82} - 164 q^{83} - 32 q^{84} + 41 q^{85} - 34 q^{86} - 76 q^{87} + 115 q^{88} - 44 q^{89} + 54 q^{90} - 60 q^{91} + 140 q^{92} - 68 q^{93} - 74 q^{94} - 44 q^{95} + 140 q^{96} - 39 q^{97} + 182 q^{98} - 274 q^{99}+O(q^{100}) \) 220 * q - 2 * q^2 - 24 * q^4 + 22 * q^5 + 8 * q^6 + 4 * q^7 - 6 * q^8 + 212 * q^9 + 2 * q^10 - 2 * q^11 + 49 * q^12 + 8 * q^13 - 40 * q^14 + 11 * q^15 - 28 * q^16 - 8 * q^17 - 10 * q^18 + 24 * q^20 - 22 * q^21 - 79 * q^22 - 31 * q^23 - 36 * q^24 - 22 * q^25 - 6 * q^26 - 6 * q^27 + 4 * q^28 - 4 * q^29 - 19 * q^30 + 20 * q^31 - 104 * q^32 - 12 * q^34 - 4 * q^35 - 30 * q^36 - 93 * q^37 + 8 * q^38 + 16 * q^39 + 6 * q^40 - 12 * q^41 - 8 * q^42 - 43 * q^43 + 9 * q^44 + 30 * q^45 - 124 * q^46 - 42 * q^47 - 158 * q^48 - 38 * q^49 - 2 * q^50 + 27 * q^51 + 146 * q^52 + 74 * q^53 + 93 * q^54 + 2 * q^55 + 25 * q^56 - 55 * q^57 + 26 * q^58 + 10 * q^59 - 16 * q^60 - 4 * q^61 - 33 * q^62 + 20 * q^63 + 32 * q^64 - 8 * q^65 - 69 * q^66 - 47 * q^67 - 24 * q^68 - 82 * q^69 - 15 * q^70 + 2 * q^71 - 294 * q^72 + 30 * q^73 - 112 * q^74 + 132 * q^76 + 136 * q^77 - 115 * q^78 + 58 * q^79 + 28 * q^80 + 220 * q^81 + 32 * q^82 - 164 * q^83 - 32 * q^84 + 41 * q^85 - 34 * q^86 - 76 * q^87 + 115 * q^88 - 44 * q^89 + 54 * q^90 - 60 * q^91 + 140 * q^92 - 68 * q^93 - 74 * q^94 - 44 * q^95 + 140 * q^96 - 39 * q^97 + 182 * q^98 - 274 * q^99

Introduction

L-functions

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