LMFDB - Embedded newform 603.2.e.b.202.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [603,2,Mod(202,603)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(603, base_ring=CyclotomicField(6))

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

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

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

chi := DirichletCharacter("603.202");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 603 = 3^{2} \cdot 67 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	603.e (of order $3$, degree $2$, 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:	$4.81497924188$
Analytic rank:	$0$
Dimension:	$66$
Relative dimension:	$33$ over $\Q(\zeta_{3})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label			202.5
Character	$\chi$	$=$	603.202
Dual form			603.2.e.b.403.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.07034 - 1.85388i) q^{2} +(1.63572 + 0.569583i) q^{3} +(-1.29125 + 2.23651i) q^{4} +(-0.195185 + 0.338070i) q^{5} +(-0.694834 - 3.64208i) q^{6} +(-0.272738 - 0.472396i) q^{7} +1.24696 q^{8} +(2.35115 + 1.86336i) q^{9} +O(q^{10})$	\(q+(-1.07034 - 1.85388i) q^{2} +(1.63572 + 0.569583i) q^{3} +(-1.29125 + 2.23651i) q^{4} +(-0.195185 + 0.338070i) q^{5} +(-0.694834 - 3.64208i) q^{6} +(-0.272738 - 0.472396i) q^{7} +1.24696 q^{8} +(2.35115 + 1.86336i) q^{9} +0.835656 q^{10} +(2.31337 + 4.00688i) q^{11} +(-3.38601 + 2.92283i) q^{12} +(2.48495 - 4.30406i) q^{13} +(-0.583844 + 1.01125i) q^{14} +(-0.511826 + 0.441813i) q^{15} +(1.24784 + 2.16132i) q^{16} +1.39959 q^{17} +(0.937913 - 6.35318i) q^{18} +1.51631 q^{19} +(-0.504066 - 0.873067i) q^{20} +(-0.177054 - 0.928054i) q^{21} +(4.95219 - 8.57745i) q^{22} +(-2.25255 + 3.90153i) q^{23} +(2.03967 + 0.710245i) q^{24} +(2.42381 + 4.19815i) q^{25} -10.6389 q^{26} +(2.78448 + 4.38710i) q^{27} +1.40869 q^{28} +(-4.37539 - 7.57840i) q^{29} +(1.36690 + 0.475975i) q^{30} +(3.69765 - 6.40452i) q^{31} +(3.91818 - 6.78648i) q^{32} +(1.50178 + 7.87179i) q^{33} +(-1.49803 - 2.59467i) q^{34} +0.212937 q^{35} +(-7.20335 + 2.85232i) q^{36} +6.66910 q^{37} +(-1.62296 - 2.81105i) q^{38} +(6.51619 - 5.62484i) q^{39} +(-0.243387 + 0.421558i) q^{40} +(0.955652 - 1.65524i) q^{41} +(-1.53099 + 1.32157i) q^{42} +(1.92866 + 3.34054i) q^{43} -11.9486 q^{44} +(-1.08885 + 0.431155i) q^{45} +9.64397 q^{46} +(6.43788 + 11.1507i) q^{47} +(0.810062 + 4.24606i) q^{48} +(3.35123 - 5.80450i) q^{49} +(5.18859 - 8.98690i) q^{50} +(2.28933 + 0.797180i) q^{51} +(6.41739 + 11.1152i) q^{52} -7.68528 q^{53} +(5.15282 - 9.85779i) q^{54} -1.80614 q^{55} +(-0.340092 - 0.589057i) q^{56} +(2.48025 + 0.863663i) q^{57} +(-9.36630 + 16.2229i) q^{58} +(1.93027 - 3.34332i) q^{59} +(-0.327225 - 1.71520i) q^{60} +(-2.59299 - 4.49119i) q^{61} -15.8310 q^{62} +(0.238994 - 1.61888i) q^{63} -11.7838 q^{64} +(0.970048 + 1.68017i) q^{65} +(12.9860 - 11.2096i) q^{66} +(0.500000 - 0.866025i) q^{67} +(-1.80722 + 3.13019i) q^{68} +(-5.90678 + 5.09879i) q^{69} +(-0.227915 - 0.394761i) q^{70} -7.88565 q^{71} +(2.93178 + 2.32352i) q^{72} -10.2736 q^{73} +(-7.13820 - 12.3637i) q^{74} +(1.57347 + 8.24756i) q^{75} +(-1.95793 + 3.39124i) q^{76} +(1.26189 - 2.18566i) q^{77} +(-17.4023 - 6.05977i) q^{78} +(-6.84221 - 11.8510i) q^{79} -0.974237 q^{80} +(2.05581 + 8.76206i) q^{81} -4.09149 q^{82} +(1.02560 + 1.77639i) q^{83} +(2.30423 + 0.802369i) q^{84} +(-0.273178 + 0.473158i) q^{85} +(4.12865 - 7.15103i) q^{86} +(-2.84038 - 14.8883i) q^{87} +(2.88468 + 4.99640i) q^{88} +2.15336 q^{89} +(1.96475 + 1.55712i) q^{90} -2.71096 q^{91} +(-5.81722 - 10.0757i) q^{92} +(9.69622 - 8.36987i) q^{93} +(13.7814 - 23.8701i) q^{94} +(-0.295960 + 0.512618i) q^{95} +(10.2745 - 8.86905i) q^{96} +(9.00775 + 15.6019i) q^{97} -14.3478 q^{98} +(-2.02716 + 13.7314i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 66 q + 7 q^{2} - 33 q^{4} + 18 q^{5} - 3 q^{6} - 48 q^{8} + 4 q^{9}+O(q^{10}) $ 66 * q + 7 * q^2 - 33 * q^4 + 18 * q^5 - 3 * q^6 - 48 * q^8 + 4 * q^9	\( 66 q + 7 q^{2} - 33 q^{4} + 18 q^{5} - 3 q^{6} - 48 q^{8} + 4 q^{9} + 12 q^{11} + q^{12} + 9 q^{14} + 3 q^{15} - 33 q^{16} - 62 q^{17} + 7 q^{18} + 43 q^{20} + 17 q^{21} + 19 q^{23} - 17 q^{24} - 33 q^{25} - 28 q^{26} - 3 q^{27} + 54 q^{28} + 25 q^{29} + 24 q^{30} + 45 q^{32} - 32 q^{33} - 6 q^{34} - 50 q^{35} + 53 q^{36} - 24 q^{37} + 34 q^{38} + 19 q^{39} - 6 q^{40} + 34 q^{41} - 107 q^{42} - 98 q^{44} + 9 q^{45} + 12 q^{46} + 26 q^{47} + 49 q^{48} - 33 q^{49} + 39 q^{50} - 50 q^{51} + 9 q^{52} - 104 q^{53} + 70 q^{54} + 60 q^{55} + 16 q^{56} + 6 q^{57} + 3 q^{58} + 21 q^{59} - 161 q^{60} - 54 q^{62} + q^{63} - 12 q^{64} + 52 q^{65} + 52 q^{66} + 33 q^{67} + 98 q^{68} + 2 q^{69} - 6 q^{70} - 62 q^{71} + 66 q^{72} + 27 q^{74} + 21 q^{75} - 6 q^{76} + 85 q^{77} - 107 q^{78} - 172 q^{80} + 72 q^{81} + 102 q^{82} + 71 q^{83} - 54 q^{84} - 27 q^{85} + 9 q^{86} + 3 q^{87} - 12 q^{88} - 82 q^{89} + 153 q^{90} - 60 q^{91} + 67 q^{92} - 47 q^{93} + 15 q^{94} + 58 q^{95} - 136 q^{96} - 12 q^{97} - 172 q^{98} + 96 q^{99}+O(q^{100}) \) 66 * q + 7 * q^2 - 33 * q^4 + 18 * q^5 - 3 * q^6 - 48 * q^8 + 4 * q^9 + 12 * q^11 + q^12 + 9 * q^14 + 3 * q^15 - 33 * q^16 - 62 * q^17 + 7 * q^18 + 43 * q^20 + 17 * q^21 + 19 * q^23 - 17 * q^24 - 33 * q^25 - 28 * q^26 - 3 * q^27 + 54 * q^28 + 25 * q^29 + 24 * q^30 + 45 * q^32 - 32 * q^33 - 6 * q^34 - 50 * q^35 + 53 * q^36 - 24 * q^37 + 34 * q^38 + 19 * q^39 - 6 * q^40 + 34 * q^41 - 107 * q^42 - 98 * q^44 + 9 * q^45 + 12 * q^46 + 26 * q^47 + 49 * q^48 - 33 * q^49 + 39 * q^50 - 50 * q^51 + 9 * q^52 - 104 * q^53 + 70 * q^54 + 60 * q^55 + 16 * q^56 + 6 * q^57 + 3 * q^58 + 21 * q^59 - 161 * q^60 - 54 * q^62 + q^63 - 12 * q^64 + 52 * q^65 + 52 * q^66 + 33 * q^67 + 98 * q^68 + 2 * q^69 - 6 * q^70 - 62 * q^71 + 66 * q^72 + 27 * q^74 + 21 * q^75 - 6 * q^76 + 85 * q^77 - 107 * q^78 - 172 * q^80 + 72 * q^81 + 102 * q^82 + 71 * q^83 - 54 * q^84 - 27 * q^85 + 9 * q^86 + 3 * q^87 - 12 * q^88 - 82 * q^89 + 153 * q^90 - 60 * q^91 + 67 * q^92 - 47 * q^93 + 15 * q^94 + 58 * q^95 - 136 * q^96 - 12 * q^97 - 172 * q^98 + 96 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/603\mathbb{Z}\right)^\times$.

$n$	$136$	$470$
$\chi(n)$	$1$	$e\left(\frac{1}{3}\right)$

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 $

$2$	−1.07034	−	1.85388i	−0.756844	−	1.31089i	−0.944452	−	0.328649i	$-0.893407\pi$
$2$	−1.07034	−	1.85388i	−0.756844	−	1.31089i	0.187608	−	0.982244i	$-0.439927\pi$
$3$	1.63572	+	0.569583i	0.944383	+	0.328849i
$3$	1.63572	+	0.569583i	0.944383	+	0.328849i
$4$	−1.29125	+	2.23651i	−0.645626	+	1.11826i
$5$	−0.195185	+	0.338070i	−0.0872893	+	0.151189i	−0.906364	−	0.422497i	$-0.861154\pi$
$5$	−0.195185	+	0.338070i	−0.0872893	+	0.151189i	0.819075	+	0.573686i	$0.194487\pi$
$6$	−0.694834	−	3.64208i	−0.283665	−	1.48687i
$7$	−0.272738	−	0.472396i	−0.103085	−	0.178549i	0.809869	−	0.586611i	$-0.199538\pi$
$7$	−0.272738	−	0.472396i	−0.103085	−	0.178549i	−0.912954	+	0.408062i	$0.866205\pi$
$8$	1.24696			0.440865
$9$	2.35115	+	1.86336i	0.783717	+	0.621118i
$10$	0.835656			0.264258
$11$	2.31337	+	4.00688i	0.697509	+	1.20812i	0.969328	+	0.245772i	$0.0790415\pi$
$11$	2.31337	+	4.00688i	0.697509	+	1.20812i	−0.271819	+	0.962348i	$0.587625\pi$
$12$	−3.38601	+	2.92283i	−0.977456	+	0.843749i
$13$	2.48495	−	4.30406i	0.689200	−	1.19373i	−0.282896	−	0.959150i	$-0.591295\pi$
$13$	2.48495	−	4.30406i	0.689200	−	1.19373i	0.972097	−	0.234580i	$-0.0753714\pi$
$14$	−0.583844	+	1.01125i	−0.156039	+	0.270267i
$15$	−0.511826	+	0.441813i	−0.132153	+	0.114076i
$16$	1.24784	+	2.16132i	0.311960	+	0.540330i
$17$	1.39959			0.339449			0.169725	−	0.985492i	$-0.445712\pi$
$17$	1.39959			0.339449			0.169725	+	0.985492i	$0.445712\pi$
$18$	0.937913	−	6.35318i	0.221068	−	1.49746i
$19$	1.51631			0.347865			0.173932	−	0.984758i	$-0.444353\pi$
$19$	1.51631			0.347865			0.173932	+	0.984758i	$0.444353\pi$
$20$	−0.504066	−	0.873067i	−0.112713	−	0.195224i
$21$	−0.177054	−	0.928054i	−0.0386363	−	0.202518i
$22$	4.95219	−	8.57745i	1.05581	−	1.82872i
$23$	−2.25255	+	3.90153i	−0.469689	+	0.813525i	−0.999399	−	0.0346535i	$-0.988967\pi$
$23$	−2.25255	+	3.90153i	−0.469689	+	0.813525i	0.529710	+	0.848179i	$0.322301\pi$
$24$	2.03967	+	0.710245i	0.416346	+	0.144978i
$25$	2.42381	+	4.19815i	0.484761	+	0.839631i
$26$	−10.6389			−2.08647
$27$	2.78448	+	4.38710i	0.535874	+	0.844298i
$28$	1.40869			0.266218
$29$	−4.37539	−	7.57840i	−0.812490	−	1.40727i	−0.911117	−	0.412149i	$-0.864778\pi$
$29$	−4.37539	−	7.57840i	−0.812490	−	1.40727i	0.0986270	−	0.995124i	$-0.468555\pi$
$30$	1.36690	+	0.475975i	0.249560	+	0.0869008i
$31$	3.69765	−	6.40452i	0.664117	−	1.15028i	−0.315407	−	0.948957i	$-0.602141\pi$
$31$	3.69765	−	6.40452i	0.664117	−	1.15028i	0.979524	−	0.201328i	$-0.0645258\pi$
$32$	3.91818	−	6.78648i	0.692643	−	1.19969i
$33$	1.50178	+	7.87179i	0.261426	+	1.37030i
$34$	−1.49803	−	2.59467i	−0.256910	−	0.444982i
$35$	0.212937			0.0359930
$36$	−7.20335	+	2.85232i	−1.20056	+	0.475387i
$37$	6.66910			1.09639			0.548196	−	0.836350i	$-0.315315\pi$
$37$	6.66910			1.09639			0.548196	+	0.836350i	$0.315315\pi$
$38$	−1.62296	−	2.81105i	−0.263279	−	0.456013i
$39$	6.51619	−	5.62484i	1.04343	−	0.900695i
$40$	−0.243387	+	0.421558i	−0.0384828	+	0.0666542i
$41$	0.955652	−	1.65524i	0.149248	−	0.258505i	−0.781702	−	0.623652i	$-0.785648\pi$
$41$	0.955652	−	1.65524i	0.149248	−	0.258505i	0.930950	+	0.365148i	$0.118981\pi$
$42$	−1.53099	+	1.32157i	−0.236238	+	0.203923i
$43$	1.92866	+	3.34054i	0.294118	+	0.509428i	0.974779	−	0.223171i	$-0.0716407\pi$
$43$	1.92866	+	3.34054i	0.294118	+	0.509428i	−0.680661	+	0.732598i	$0.738307\pi$
$44$	−11.9486			−1.80132
$45$	−1.08885	+	0.431155i	−0.162317	+	0.0642727i
$46$	9.64397			1.42193
$47$	6.43788	+	11.1507i	0.939061	+	1.62650i	0.767227	+	0.641376i	$0.221636\pi$
$47$	6.43788	+	11.1507i	0.939061	+	1.62650i	0.171834	+	0.985126i	$0.445031\pi$
$48$	0.810062	+	4.24606i	0.116922	+	0.612866i
$49$	3.35123	−	5.80450i	0.478747	−	0.829214i
$50$	5.18859	−	8.98690i	0.733777	−	1.27094i
$51$	2.28933	+	0.797180i	0.320570	+	0.111628i
$52$	6.41739	+	11.1152i	0.889932	+	1.54141i
$53$	−7.68528			−1.05565			−0.527827	−	0.849352i	$-0.676993\pi$
$53$	−7.68528			−1.05565			−0.527827	+	0.849352i	$0.676993\pi$
$54$	5.15282	−	9.85779i	0.701211	−	1.34148i
$55$	−1.80614			−0.243540
$56$	−0.340092	−	0.589057i	−0.0454467	−	0.0787160i
$57$	2.48025	+	0.863663i	0.328517	+	0.114395i
$58$	−9.36630	+	16.2229i	−1.22986	+	2.13017i
$59$	1.93027	−	3.34332i	0.251300	−	0.435264i	−0.712584	−	0.701587i	$-0.752475\pi$
$59$	1.93027	−	3.34332i	0.251300	−	0.435264i	0.963884	+	0.266323i	$0.0858087\pi$
$60$	−0.327225	−	1.71520i	−0.0422446	−	0.221431i
$61$	−2.59299	−	4.49119i	−0.331998	−	0.575038i	0.650905	−	0.759159i	$-0.274390\pi$
$61$	−2.59299	−	4.49119i	−0.331998	−	0.575038i	−0.982904	+	0.184121i	$0.941056\pi$
$62$	−15.8310			−2.01053
$63$	0.238994	−	1.61888i	0.0301104	−	0.203960i
$64$	−11.7838			−1.47297
$65$	0.970048	+	1.68017i	0.120320	+	0.208400i
$66$	12.9860	−	11.2096i	1.59846	−	1.37981i
$67$	0.500000	−	0.866025i	0.0610847	−	0.105802i
$67$	0.500000	−	0.866025i	0.0610847	−	0.105802i
$68$	−1.80722	+	3.13019i	−0.219157	+	0.379592i
$69$	−5.90678	+	5.09879i	−0.711093	+	0.613822i
$70$	−0.227915	−	0.394761i	−0.0272411	−	0.0471829i
$71$	−7.88565			−0.935855			−0.467927	−	0.883767i	$-0.654999\pi$
$71$	−7.88565			−0.935855			−0.467927	+	0.883767i	$0.654999\pi$
$72$	2.93178	+	2.32352i	0.345514	+	0.273830i
$73$	−10.2736			−1.20244			−0.601218	−	0.799085i	$-0.705318\pi$
$73$	−10.2736			−1.20244			−0.601218	+	0.799085i	$0.705318\pi$
$74$	−7.13820	−	12.3637i	−0.829798	−	1.43725i
$75$	1.57347	+	8.24756i	0.181688	+	0.952346i
$76$	−1.95793	+	3.39124i	−0.224591	+	0.389002i
$77$	1.26189	−	2.18566i	0.143806	−	0.249079i
$78$	−17.4023	−	6.05977i	−1.97043	−	0.686133i
$79$	−6.84221	−	11.8510i	−0.769808	−	1.33335i	−0.937667	−	0.347536i	$-0.887018\pi$
$79$	−6.84221	−	11.8510i	−0.769808	−	1.33335i	0.167858	−	0.985811i	$-0.446315\pi$
$80$	−0.974237			−0.108923
$81$	2.05581	+	8.76206i	0.228424	+	0.973562i
$82$	−4.09149			−0.451829
$83$	1.02560	+	1.77639i	0.112574	+	0.194984i	0.916808	−	0.399329i	$-0.130757\pi$
$83$	1.02560	+	1.77639i	0.112574	+	0.194984i	−0.804233	+	0.594314i	$0.797424\pi$
$84$	2.30423	+	0.802369i	0.251412	+	0.0875456i
$85$	−0.273178	+	0.473158i	−0.0296303	+	0.0513212i
$86$	4.12865	−	7.15103i	0.445203	−	0.771115i
$87$	−2.84038	−	14.8883i	−0.304521	−	1.59619i
$88$	2.88468	+	4.99640i	0.307507	+	0.532619i
$89$	2.15336			0.228256			0.114128	−	0.993466i	$-0.463593\pi$
$89$	2.15336			0.228256			0.114128	+	0.993466i	$0.463593\pi$
$90$	1.96475	+	1.55712i	0.207103	+	0.164135i
$91$	−2.71096			−0.284186
$92$	−5.81722	−	10.0757i	−0.606487	−	1.05047i
$93$	9.69622	−	8.36987i	1.00545	−	0.867915i
$94$	13.7814	−	23.8701i	1.42145	−	2.46202i
$95$	−0.295960	+	0.512618i	−0.0303649	+	0.0525935i
$96$	10.2745	−	8.86905i	1.04864	−	0.905194i
$97$	9.00775	+	15.6019i	0.914598	+	1.58413i	0.807488	+	0.589884i	$0.200827\pi$
$97$	9.00775	+	15.6019i	0.914598	+	1.58413i	0.107110	+	0.994247i	$0.465840\pi$
$98$	−14.3478			−1.44935
$99$	−2.02716	+	13.7314i	−0.203737	+	1.38006i
$100$	−12.5190			−1.25190
$101$	0.370713	+	0.642093i	0.0368873	+	0.0638907i	0.883880	−	0.467714i	$-0.154922\pi$
$101$	0.370713	+	0.642093i	0.0368873	+	0.0638907i	−0.846992	+	0.531605i	$0.821589\pi$
$102$	−0.972479	−	5.09740i	−0.0962898	−	0.504717i
$103$	−9.06801	+	15.7062i	−0.893497	+	1.54758i	−0.0578435	+	0.998326i	$0.518422\pi$
$103$	−9.06801	+	15.7062i	−0.893497	+	1.54758i	−0.835654	+	0.549257i	$0.814911\pi$
$104$	3.09862	−	5.36697i	0.303845	−	0.526274i
$105$	0.348305	+	0.121285i	0.0339911	+	0.0118362i
$106$	8.22585	+	14.2476i	0.798966	+	1.38385i
$107$	−13.7512			−1.32938			−0.664690	−	0.747119i	$-0.731437\pi$
$107$	−13.7512			−1.32938			−0.664690	+	0.747119i	$0.731437\pi$
$108$	−13.4073	+	0.562685i	−1.29012	+	0.0541444i
$109$	−14.1819			−1.35838			−0.679192	−	0.733960i	$-0.737670\pi$
$109$	−14.1819			−1.35838			−0.679192	+	0.733960i	$0.737670\pi$
$110$	1.93318	+	3.34837i	0.184322	+	0.319255i
$111$	10.9088	+	3.79861i	1.03541	+	0.360548i
$112$	0.680666	−	1.17895i	0.0643169	−	0.111400i
$113$	5.70416	−	9.87989i	0.536602	−	0.929422i	−0.462482	−	0.886629i	$-0.653041\pi$
$113$	5.70416	−	9.87989i	0.536602	−	0.929422i	0.999084	−	0.0427930i	$-0.0136256\pi$
$114$	−1.05358	−	5.52250i	−0.0986769	−	0.517230i
$115$	−0.879327	−	1.52304i	−0.0819976	−	0.142024i
$116$	22.5989			2.09826
$117$	13.8625	−	5.48914i	1.28159	−	0.507471i
$118$	−8.26417			−0.760779
$119$	−0.381720	−	0.661159i	−0.0349922	−	0.0606083i
$120$	−0.638225	+	0.550922i	−0.0582617	+	0.0502920i
$121$	−5.20340	+	9.01256i	−0.473037	+	0.819324i
$122$	−5.55076	+	9.61420i	−0.502542	+	0.870428i
$123$	2.50597	−	2.16318i	0.225956	−	0.195047i
$124$	9.54920	+	16.5397i	0.857543	+	1.48531i
$125$	−3.84421			−0.343836
$126$	−3.25702	+	1.28969i	−0.290158	+	0.114894i
$127$	13.1047			1.16286			0.581428	−	0.813598i	$-0.302494\pi$
$127$	13.1047			1.16286			0.581428	+	0.813598i	$0.302494\pi$
$128$	4.77627	+	8.27274i	0.422167	+	0.731214i
$129$	1.25203	+	6.56272i	0.110235	+	0.577815i
$130$	2.07656	−	3.59671i	0.182126	−	0.315452i
$131$	0.896233	−	1.55232i	0.0783043	−	0.135627i	−0.824214	−	0.566278i	$-0.808383\pi$
$131$	0.896233	−	1.55232i	0.0783043	−	0.135627i	0.902518	+	0.430651i	$0.141716\pi$
$132$	−19.5445	−	6.80572i	−1.70113	−	0.592362i
$133$	−0.413554	−	0.716297i	−0.0358597	−	0.0621109i
$134$	−2.14068			−0.184926
$135$	−2.02664	+	0.0850550i	−0.174425	+	0.00732037i
$136$	1.74522			0.149651
$137$	2.01958	+	3.49801i	0.172544	+	0.298855i	0.939309	−	0.343073i	$-0.111468\pi$
$137$	2.01958	+	3.49801i	0.172544	+	0.298855i	−0.766764	+	0.641929i	$0.778135\pi$
$138$	15.7748	+	5.49304i	1.34284	+	0.467599i
$139$	−5.38408	+	9.32551i	−0.456672	+	0.790979i	−0.998783	−	0.0493280i	$-0.984292\pi$
$139$	−5.38408	+	9.32551i	−0.456672	+	0.790979i	0.542111	+	0.840307i	$0.317625\pi$
$140$	−0.274956	+	0.476237i	−0.0232380	+	0.0402494i
$141$	4.17929	+	21.9064i	0.351960	+	1.84485i
$142$	8.44032	+	14.6191i	0.708296	+	1.22680i
$143$	22.9945			1.92289
$144$	−1.09345	+	7.40676i	−0.0911210	+	0.617230i
$145$	3.41604			0.283687
$146$	10.9963	+	19.0461i	0.910057	+	1.57627i
$147$	8.78781	−	7.58572i	0.724806	−	0.625660i
$148$	−8.61149	+	14.9155i	−0.707860	+	1.22605i
$149$	−5.25685	+	9.10513i	−0.430658	+	0.745922i	−0.996930	−	0.0782968i	$-0.975052\pi$
$149$	−5.25685	+	9.10513i	−0.430658	+	0.745922i	0.566272	+	0.824218i	$0.308385\pi$
$150$	13.6059	−	11.7447i	1.11091	−	0.958951i
$151$	−3.60457	−	6.24330i	−0.293336	−	0.508072i	0.681261	−	0.732041i	$-0.261432\pi$
$151$	−3.60457	−	6.24330i	−0.293336	−	0.508072i	−0.974596	+	0.223969i	$0.928099\pi$
$152$	1.89077			0.153361
$153$	3.29063	+	2.60792i	0.266032	+	0.210838i
$154$	−5.40260			−0.435354
$155$	1.44345	+	2.50013i	0.115941	+	0.200815i
$156$	4.16599	+	21.8366i	0.333546	+	1.74833i
$157$	4.56176	−	7.90119i	0.364068	−	0.630584i	−0.624558	−	0.780978i	$-0.714721\pi$
$157$	4.56176	−	7.90119i	0.364068	−	0.630584i	0.988626	+	0.150394i	$0.0480543\pi$
$158$	−14.6470	+	25.3693i	−1.16525	+	2.01827i
$159$	−12.5710	−	4.37740i	−0.996941	−	0.347151i
$160$	1.52954	+	2.64924i	0.120921	+	0.209441i
$161$	2.45742			0.193672
$162$	14.0434	−	13.1896i	1.10335	−	1.03627i
$163$	3.26893			0.256042			0.128021	−	0.991771i	$-0.459137\pi$
$163$	3.26893			0.256042			0.128021	+	0.991771i	$0.459137\pi$
$164$	2.46798	+	4.27466i	0.192717	+	0.333795i
$165$	−2.95434	−	1.02875i	−0.229995	−	0.0800879i
$166$	2.19548	−	3.80269i	0.170402	−	0.295146i
$167$	−0.692688	+	1.19977i	−0.0536018	+	0.0928411i	−0.891581	−	0.452861i	$-0.850404\pi$
$167$	−0.692688	+	1.19977i	−0.0536018	+	0.0928411i	0.837979	+	0.545702i	$0.183737\pi$
$168$	−0.220778	−	1.15724i	−0.0170334	−	0.0892832i
$169$	−5.84993	−	10.1324i	−0.449995	−	0.779413i
$170$	1.16957			0.0897020
$171$	3.56506	+	2.82542i	0.272627	+	0.216065i
$172$	−9.96156			−0.759562
$173$	3.93158	+	6.80970i	0.298913	+	0.517732i	0.975887	−	0.218274i	$-0.0700428\pi$
$173$	3.93158	+	6.80970i	0.298913	+	0.517732i	−0.676975	+	0.736006i	$0.736709\pi$
$174$	−24.5609	+	21.2012i	−1.86196	+	1.60726i
$175$	1.32213	−	2.28999i	0.0999435	−	0.173107i
$176$	−5.77344	+	9.99989i	−0.435189	+	0.753770i
$177$	5.06168	−	4.36929i	0.380459	−	0.328416i
$178$	−2.30483	−	3.99208i	−0.172754	−	0.299219i
$179$	8.26755			0.617946			0.308973	−	0.951071i	$-0.400015\pi$
$179$	8.26755			0.617946			0.308973	+	0.951071i	$0.400015\pi$
$180$	0.441701	−	2.99197i	0.0329224	−	0.223008i
$181$	−2.30824			−0.171570			−0.0857849	−	0.996314i	$-0.527340\pi$
$181$	−2.30824			−0.171570			−0.0857849	+	0.996314i	$0.527340\pi$
$182$	2.90165	+	5.02580i	0.215084	+	0.372537i
$183$	−1.68330	−	8.82325i	−0.124433	−	0.652233i
$184$	−2.80883	+	4.86503i	−0.207070	+	0.358655i
$185$	−1.30171	+	2.25462i	−0.0957033	+	0.165763i
$186$	−25.8950	−	9.01705i	−1.89871	−	0.661162i
$187$	3.23776	+	5.60797i	0.236769	+	0.410096i
$188$	−33.2517			−2.42513
$189$	1.31301	−	2.51191i	0.0955078	−	0.182714i
$190$	1.26711			0.0919259
$191$	−10.9296	−	18.9306i	−0.790839	−	1.36977i	−0.925448	−	0.378874i	$-0.876311\pi$
$191$	−10.9296	−	18.9306i	−0.790839	−	1.36977i	0.134610	−	0.990899i	$-0.457022\pi$
$192$	−19.2749	−	6.71183i	−1.39105	−	0.484385i
$193$	−9.53133	+	16.5088i	−0.686080	+	1.18833i	0.287015	+	0.957926i	$0.407337\pi$
$193$	−9.53133	+	16.5088i	−0.686080	+	1.18833i	−0.973096	+	0.230400i	$0.925996\pi$
$194$	19.2827	−	33.3986i	1.38442	−	2.39788i
$195$	0.629727	+	3.30081i	0.0450957	+	0.236376i
$196$	8.65456	+	14.9901i	0.618183	+	1.07072i
$197$	−5.67588			−0.404390			−0.202195	−	0.979345i	$-0.564807\pi$
$197$	−5.67588			−0.404390			−0.202195	+	0.979345i	$0.564807\pi$
$198$	27.6262	−	10.9392i	1.96331	−	0.777413i
$199$	−1.64852			−0.116861			−0.0584303	−	0.998291i	$-0.518610\pi$
$199$	−1.64852			−0.116861			−0.0584303	+	0.998291i	$0.518610\pi$
$200$	3.02238	+	5.23491i	0.213714	+	0.370164i
$201$	1.31113	−	1.13178i	0.0924802	−	0.0798298i
$202$	0.793577	−	1.37451i	0.0558359	−	0.0967105i
$203$	−2.38667	+	4.13383i	−0.167511	+	0.290138i
$204$	−4.73900	+	4.09075i	−0.331797	+	0.286410i
$205$	0.373057	+	0.646154i	0.0260555	+	0.0451294i
$206$	38.8234			2.70495
$207$	−12.5660	+	4.97578i	−0.873398	+	0.345841i
$208$	12.4033			0.860011
$209$	3.50779	+	6.07566i	0.242639	+	0.420262i
$210$	−0.147956	−	0.775534i	−0.0102099	−	0.0535169i
$211$	5.64634	−	9.77975i	0.388710	−	0.673266i	−0.603566	−	0.797313i	$-0.706254\pi$
$211$	5.64634	−	9.77975i	0.388710	−	0.673266i	0.992276	+	0.124047i	$0.0395874\pi$
$212$	9.92363	−	17.1882i	0.681558	−	1.18049i
$213$	−12.8987	−	4.49153i	−0.883805	−	0.307755i
$214$	14.7185	+	25.4931i	1.00613	+	1.74268i
$215$	−1.50578			−0.102694
$216$	3.47213	+	5.47052i	0.236248	+	0.372222i
$217$	−4.03396			−0.273843
$218$	15.1795	+	26.2917i	1.02809	+	1.78070i
$219$	−16.8048	−	5.85168i	−1.13556	−	0.395420i
$220$	2.33219	−	4.03946i	0.157236	−	0.272341i
$221$	3.47790	−	6.02389i	0.233949	−	0.405211i
$222$	−4.63391	−	24.2894i	−0.311008	−	1.63020i
$223$	−9.11060	−	15.7800i	−0.610091	−	1.05671i	−0.991225	−	0.132189i	$-0.957799\pi$
$223$	−9.11060	−	15.7800i	−0.610091	−	1.05671i	0.381133	−	0.924520i	$-0.375534\pi$
$224$	−4.27454			−0.285605
$225$	−2.12392	+	14.3869i	−0.141595	+	0.959127i
$226$	−24.4215			−1.62450
$227$	−2.59970	−	4.50282i	−0.172548	−	0.298863i	0.766762	−	0.641932i	$-0.221867\pi$
$227$	−2.59970	−	4.50282i	−0.172548	−	0.298863i	−0.939310	+	0.343069i	$0.888533\pi$
$228$	−5.13422	+	4.43191i	−0.340022	+	0.293510i
$229$	−5.33072	+	9.23307i	−0.352264	+	0.610139i	−0.986646	−	0.162881i	$-0.947921\pi$
$229$	−5.33072	+	9.23307i	−0.352264	+	0.610139i	0.634382	+	0.773020i	$0.281255\pi$
$230$	−1.88236	+	3.26034i	−0.124119	+	0.214980i
$231$	3.30901	−	2.85637i	0.217717	−	0.187935i
$232$	−5.45592	−	9.44993i	−0.358199	−	0.620418i
$233$	−4.40687			−0.288704			−0.144352	−	0.989526i	$-0.546110\pi$
$233$	−4.40687			−0.288704			−0.144352	+	0.989526i	$0.546110\pi$
$234$	−25.0138	−	19.8241i	−1.63520	−	1.29594i
$235$	−5.02630			−0.327880
$236$	4.98493	+	8.63415i	0.324491	+	0.562035i
$237$	−4.44177	−	23.2822i	−0.288524	−	1.51234i
$238$	−0.817140	+	1.41533i	−0.0529673	+	0.0917421i
$239$	−8.63408	+	14.9547i	−0.558492	+	0.967337i	0.439131	+	0.898423i	$0.355287\pi$
$239$	−8.63408	+	14.9547i	−0.558492	+	0.967337i	−0.997623	+	0.0689135i	$0.978047\pi$
$240$	−1.59358	−	0.554909i	−0.102865	−	0.0358192i
$241$	−11.5486	−	20.0028i	−0.743914	−	1.28850i	−0.950701	−	0.310110i	$-0.899634\pi$
$241$	−11.5486	−	20.0028i	−0.743914	−	1.28850i	0.206787	−	0.978386i	$-0.433699\pi$
$242$	22.2776			1.43206
$243$	−1.62799	+	15.5032i	−0.104436	+	0.994532i
$244$	13.3928			0.857387
$245$	1.30822	+	2.26590i	0.0835789	+	0.144763i
$246$	−6.69252	−	2.33044i	−0.426700	−	0.148584i
$247$	3.76794	−	6.52627i	0.239748	−	0.415256i
$248$	4.61080	−	7.98615i	0.292786	−	0.507121i
$249$	0.665791	+	3.48984i	0.0421928	+	0.221160i
$250$	4.11461	+	7.12671i	0.260231	+	0.450733i
$251$	−19.5656			−1.23497			−0.617484	−	0.786583i	$-0.711848\pi$
$251$	−19.5656			−1.23497			−0.617484	+	0.786583i	$0.711848\pi$
$252$	3.31205	+	2.62490i	0.208640	+	0.165353i
$253$	−20.8440			−1.31045
$254$	−14.0265	−	24.2946i	−0.880101	−	1.52438i
$255$	−0.716345	+	0.618355i	−0.0448592	+	0.0387229i
$256$	−1.55931	+	2.70080i	−0.0974567	+	0.168800i
$257$	9.46536	−	16.3945i	0.590433	−	1.02266i	−0.403741	−	0.914873i	$-0.632290\pi$
$257$	9.46536	−	16.3945i	0.590433	−	1.02266i	0.994174	−	0.107787i	$-0.0343764\pi$
$258$	10.8264	−	9.34546i	0.674023	−	0.581823i
$259$	−1.81892	−	3.15046i	−0.113022	−	0.195760i
$260$	−5.01031			−0.310726
$261$	3.83405	−	25.9709i	0.237322	−	1.60756i
$262$	−3.83710			−0.237057
$263$	10.2967	+	17.8343i	0.634919	+	1.09971i	0.986532	+	0.163567i	$0.0522998\pi$
$263$	10.2967	+	17.8343i	0.634919	+	1.09971i	−0.351613	+	0.936145i	$0.614367\pi$
$264$	1.87265	+	9.81577i	0.115254	+	0.604119i
$265$	1.50005	−	2.59816i	0.0921473	−	0.159604i
$266$	−0.885287	+	1.53336i	−0.0542804	+	0.0940165i
$267$	3.52229	+	1.22652i	0.215561	+	0.0750617i
$268$	1.29125	+	2.23651i	0.0788758	+	0.136617i
$269$	26.3794			1.60838			0.804189	−	0.594374i	$-0.202600\pi$
$269$	26.3794			1.60838			0.804189	+	0.594374i	$0.202600\pi$
$270$	2.32687	+	3.66611i	0.141609	+	0.223112i
$271$	9.05806			0.550238			0.275119	−	0.961410i	$-0.411283\pi$
$271$	9.05806			0.550238			0.275119	+	0.961410i	$0.411283\pi$
$272$	1.74646	+	3.02495i	0.105895	+	0.183415i
$273$	−4.43436	−	1.54412i	−0.268380	−	0.0934542i
$274$	4.32327	−	7.48812i	0.261178	−	0.452374i
$275$	−11.2143	+	19.4238i	−0.676250	+	1.17130i
$276$	−3.77637	−	19.7944i	−0.227311	−	1.19148i
$277$	−16.2149	−	28.0851i	−0.974261	−	1.68747i	−0.682354	−	0.731022i	$-0.739044\pi$
$277$	−16.2149	−	28.0851i	−0.974261	−	1.68747i	−0.291907	−	0.956447i	$-0.594290\pi$
$278$	23.0512			1.38252
$279$	20.6276	−	8.16794i	1.23494	−	0.489002i
$280$	0.265523			0.0158681
$281$	−8.47609	−	14.6810i	−0.505641	−	0.875796i	−0.999979	−	0.00652595i	$-0.997923\pi$
$281$	−8.47609	−	14.6810i	−0.505641	−	0.875796i	0.494338	−	0.869270i	$-0.335411\pi$
$282$	36.1386	−	31.1952i	2.15202	−	1.85764i
$283$	−8.43238	+	14.6053i	−0.501253	+	0.868196i	0.498746	+	0.866748i	$0.333794\pi$
$283$	−8.43238	+	14.6053i	−0.501253	+	0.868196i	−0.999999	+	0.00144754i	$0.999539\pi$
$284$	10.1824	−	17.6364i	0.604212	−	1.04653i
$285$	−0.776086	+	0.669925i	−0.0459714	+	0.0396829i
$286$	−24.6119	−	42.6290i	−1.45533	−	2.52071i
$287$	−1.04257			−0.0615410
$288$	21.8579	−	8.65508i	1.28799	−	0.510006i
$289$	−15.0412			−0.884774
$290$	−3.65632	−	6.33293i	−0.214707	−	0.371883i
$291$	5.84757	+	30.6509i	0.342791	+	1.79679i
$292$	13.2658	−	22.9771i	0.776325	−	1.34463i
$293$	−2.76344	+	4.78642i	−0.161442	+	0.279625i	−0.935386	−	0.353628i	$-0.884948\pi$
$293$	−2.76344	+	4.78642i	−0.161442	+	0.279625i	0.773944	+	0.633254i	$0.218281\pi$
$294$	−23.4690	−	8.17227i	−1.36874	−	0.476616i
$295$	0.753518	+	1.30513i	0.0438715	+	0.0759877i
$296$	8.31607			0.483362
$297$	−11.1370	+	21.3061i	−0.646237	+	1.23631i
$298$	22.5065			1.30376
$299$	11.1949	+	19.3902i	0.647420	+	1.12136i
$300$	−20.4775	−	7.13060i	−1.18227	−	0.411685i
$301$	1.05204	−	1.82219i	0.0606385	−	0.105029i
$302$	−7.71622	+	13.3649i	−0.444019	+	0.769063i
$303$	0.240656	+	1.26144i	0.0138253	+	0.0724676i
$304$	1.89211	+	3.27723i	0.108520	+	0.187962i
$305$	2.02445			0.115920
$306$	1.31269	−	8.89181i	0.0750414	−	0.508311i
$307$	16.0392			0.915408			0.457704	−	0.889105i	$-0.348672\pi$
$307$	16.0392			0.915408			0.457704	+	0.889105i	$0.348672\pi$
$308$	3.25884	+	5.64447i	0.185690	+	0.321624i
$309$	−23.7787	+	20.5260i	−1.35272	+	1.16768i
$310$	3.08996	−	5.35197i	0.175498	−	0.303972i
$311$	8.72858	−	15.1184i	0.494953	−	0.857283i	−0.505030	−	0.863102i	$-0.668519\pi$
$311$	8.72858	−	15.1184i	0.494953	−	0.857283i	0.999983	+	0.00581844i	$0.00185208\pi$
$312$	8.12540	−	7.01392i	0.460010	−	0.397085i
$313$	−2.83118	−	4.90375i	−0.160028	−	0.277176i	0.774851	−	0.632144i	$-0.217825\pi$
$313$	−2.83118	−	4.90375i	−0.160028	−	0.277176i	−0.934878	+	0.354968i	$0.884492\pi$
$314$	−19.5305			−1.10217
$315$	0.500647	+	0.396778i	0.0282083	+	0.0223559i
$316$	35.3401			1.98803
$317$	−1.01882	−	1.76465i	−0.0572227	−	0.0991126i	0.835995	−	0.548737i	$-0.184891\pi$
$317$	−1.01882	−	1.76465i	−0.0572227	−	0.0991126i	−0.893218	+	0.449624i	$0.851558\pi$
$318$	5.33999	+	27.9904i	0.299452	+	1.56962i
$319$	20.2438	−	35.0633i	1.13344	−	1.96317i
$320$	2.30001	−	3.98374i	0.128575	−	0.222698i
$321$	−22.4931	−	7.83246i	−1.25544	−	0.437166i
$322$	−2.63028	−	4.55577i	−0.146580	−	0.253883i
$323$	2.12220			0.118082
$324$	−22.2510	−	6.71617i	−1.23617	−	0.373121i
$325$	24.0921			1.33639
$326$	−3.49886	−	6.06021i	−0.193784	−	0.335644i
$327$	−23.1977	−	8.07780i	−1.28283	−	0.446703i
$328$	1.19166	−	2.06401i	0.0657982	−	0.113966i
$329$	3.51171	−	6.08246i	0.193607	−	0.335337i
$330$	1.25497	+	6.57811i	0.0690837	+	0.362113i
$331$	−2.44935	−	4.24241i	−0.134629	−	0.233184i	0.790827	−	0.612040i	$-0.209651\pi$
$331$	−2.44935	−	4.24241i	−0.134629	−	0.233184i	−0.925456	+	0.378856i	$0.876318\pi$
$332$	−5.29724			−0.290724
$333$	15.6800	+	12.4269i	0.859261	+	0.680990i
$334$	2.96565			0.162273
$335$	0.195185	+	0.338070i	0.0106641	+	0.0184707i
$336$	1.78489	−	1.54073i	0.0973736	−	0.0840538i
$337$	11.3192	−	19.6053i	0.616594	−	1.06797i	−0.373509	−	0.927626i	$-0.621846\pi$
$337$	11.3192	−	19.6053i	0.616594	−	1.06797i	0.990103	−	0.140345i	$-0.0448211\pi$
$338$	−12.5228	+	21.6902i	−0.681151	+	1.17979i
$339$	14.9578	−	12.9117i	0.812397	−	0.701269i
$340$	−0.705483	−	1.22193i	−0.0382602	−	0.0662686i
$341$	34.2162			1.85291
$342$	1.42216	−	9.63337i	0.0769018	−	0.520913i
$343$	−7.47436			−0.403578
$344$	2.40496	+	4.16551i	0.129667	+	0.224589i
$345$	−0.570834	−	2.99211i	−0.0307327	−	0.161090i
$346$	8.41625	−	14.5774i	0.452460	−	0.783684i
$347$	12.4586	−	21.5789i	0.668812	−	1.15842i	−0.309424	−	0.950924i	$-0.600136\pi$
$347$	12.4586	−	21.5789i	0.668812	−	1.15842i	0.978237	−	0.207493i	$-0.0665304\pi$
$348$	36.9655	+	12.8720i	1.98156	+	0.690010i
$349$	5.18422	+	8.97934i	0.277505	+	0.480653i	0.970764	−	0.240036i	$-0.0771591\pi$
$349$	5.18422	+	8.97934i	0.277505	+	0.480653i	−0.693259	+	0.720688i	$0.743826\pi$
$350$	−5.66050			−0.302567
$351$	25.8016	−	1.08286i	1.37719	−	0.0577987i
$352$	36.2569			1.93250
$353$	−9.49428	−	16.4446i	−0.505330	−	0.875257i	−0.999981	−	0.00616511i	$-0.998038\pi$
$353$	−9.49428	−	16.4446i	−0.505330	−	0.875257i	0.494651	−	0.869091i	$-0.335296\pi$
$354$	−13.5179	−	4.70713i	−0.718466	−	0.250181i
$355$	1.53916	−	2.66590i	0.0816901	−	0.141491i
$356$	−2.78053	+	4.81603i	−0.147368	+	0.255249i
$357$	−0.247802	−	1.29889i	−0.0131151	−	0.0687446i
$358$	−8.84908	−	15.3271i	−0.467689	−	0.810060i
$359$	−2.58488			−0.136425			−0.0682123	−	0.997671i	$-0.521730\pi$
$359$	−2.58488			−0.136425			−0.0682123	+	0.997671i	$0.521730\pi$
$360$	−1.35775	+	0.537631i	−0.0715598	+	0.0283356i
$361$	−16.7008			−0.878990
$362$	2.47060	+	4.27920i	0.129852	+	0.224910i
$363$	−13.6447	+	11.7782i	−0.716161	+	0.618197i
$364$	3.50053	−	6.06310i	0.183478	−	0.317793i
$365$	2.00526	−	3.47320i	0.104960	−	0.181796i
$366$	−14.5556	+	12.5645i	−0.760831	+	0.656757i
$367$	−2.64421	−	4.57990i	−0.138026	−	0.239069i	0.788723	−	0.614749i	$-0.210743\pi$
$367$	−2.64421	−	4.57990i	−0.138026	−	0.239069i	−0.926750	+	0.375680i	$0.877409\pi$
$368$	−11.2433			−0.586096
$369$	5.33118	−	2.11099i	0.277530	−	0.109894i
$370$	5.57307			0.289730
$371$	2.09607	+	3.63049i	0.108822	+	0.188486i
$372$	6.19907	+	32.4933i	0.321407	+	1.68470i
$373$	−1.14441	+	1.98218i	−0.0592555	+	0.102633i	−0.894131	−	0.447805i	$-0.852206\pi$
$373$	−1.14441	+	1.98218i	−0.0592555	+	0.102633i	0.834876	+	0.550438i	$0.185539\pi$
$374$	6.93101	−	12.0049i	0.358394	−	0.620757i
$375$	−6.28804	−	2.18960i	−0.324713	−	0.113070i
$376$	8.02775	+	13.9045i	0.414000	+	0.717068i
$377$	−43.4905			−2.23987
$378$	−6.06215	+	0.254420i	−0.311803	+	0.0130859i
$379$	−3.81286			−0.195854			−0.0979268	−	0.995194i	$-0.531221\pi$
$379$	−3.81286			−0.195854			−0.0979268	+	0.995194i	$0.531221\pi$
$380$	−0.764318	−	1.32384i	−0.0392087	−	0.0679115i
$381$	21.4356	+	7.46423i	1.09818	+	0.382404i
$382$	−23.3968	+	40.5244i	−1.19708	+	2.07341i
$383$	4.71577	−	8.16795i	0.240965	−	0.417363i	−0.720025	−	0.693948i	$-0.755870\pi$
$383$	4.71577	−	8.16795i	0.240965	−	0.417363i	0.960989	+	0.276585i	$0.0892029\pi$
$384$	3.10062	+	16.2524i	0.158228	+	0.829375i
$385$	0.492604	+	0.853214i	0.0251054	+	0.0434838i
$386$	40.8070			2.07702
$387$	−1.69004	+	11.4479i	−0.0859096	+	0.581929i
$388$	−46.5251			−2.36196
$389$	−17.2010	−	29.7930i	−0.872126	−	1.51057i	−0.859793	−	0.510643i	$-0.829407\pi$
$389$	−17.2010	−	29.7930i	−0.872126	−	1.51057i	−0.0123338	−	0.999924i	$-0.503926\pi$
$390$	5.44529	−	4.70043i	0.275733	−	0.238015i
$391$	−3.15263	+	5.46052i	−0.159436	+	0.276150i
$392$	4.17883	−	7.23795i	0.211063	−	0.365572i
$393$	2.35016	−	2.02868i	0.118550	−	0.102333i
$394$	6.07512	+	10.5224i	0.306060	+	0.530111i
$395$	5.34198			0.268784
$396$	−28.0930	−	22.2645i	−1.41172	−	1.11883i
$397$	−28.5731			−1.43404			−0.717022	−	0.697051i	$-0.754495\pi$
$397$	−28.5731			−1.43404			−0.717022	+	0.697051i	$0.754495\pi$
$398$	1.76448	+	3.05617i	0.0884453	+	0.153192i
$399$	−0.268468	−	1.40721i	−0.0134402	−	0.0704488i
$400$	−6.04904	+	10.4772i	−0.302452	+	0.523862i
$401$	−5.73459	+	9.93260i	−0.286372	+	0.496010i	−0.972941	−	0.231054i	$-0.925783\pi$
$401$	−5.73459	+	9.93260i	−0.286372	+	0.496010i	0.686569	+	0.727064i	$0.259116\pi$
$402$	−3.50155	−	1.21929i	−0.174641	−	0.0608129i
$403$	−18.3769	−	31.8298i	−0.915420	−	1.58555i
$404$	−1.91473			−0.0952616
$405$	−3.36345	−	1.01521i	−0.167131	−	0.0504463i
$406$	10.2182			0.507120
$407$	15.4281	+	26.7223i	0.764743	+	1.32457i
$408$	2.85469	+	0.994048i	0.141328	+	0.0492127i
$409$	−12.0732	+	20.9113i	−0.596979	+	1.03400i	0.396285	+	0.918127i	$0.370299\pi$
$409$	−12.0732	+	20.9113i	−0.596979	+	1.03400i	−0.993264	+	0.115871i	$0.963034\pi$
$410$	0.798596	−	1.38321i	0.0394398	−	0.0683118i
$411$	1.31105	+	6.87208i	0.0646695	+	0.338975i
$412$	−23.4182	−	40.5615i	−1.15373	−	1.99832i
$413$	−2.10583			−0.103621
$414$	22.6744	+	17.9701i	1.11439	+	0.883184i
$415$	−0.800727			−0.0393061
$416$	−19.4729	−	33.7281i	−0.954739	−	1.65366i
$417$	−14.1185	+	12.1872i	−0.691386	+	0.596811i
$418$	7.50904	−	13.0060i	0.367279	−	0.636146i
$419$	11.2391	−	19.4667i	0.549067	−	0.951011i	−0.449272	−	0.893395i	$-0.648317\pi$
$419$	11.2391	−	19.4667i	0.549067	−	0.951011i	0.998339	−	0.0576163i	$-0.0183500\pi$
$420$	−0.721007	+	0.622380i	−0.0351815	+	0.0303690i
$421$	9.71716	+	16.8306i	0.473586	+	0.820274i	0.999543	−	0.0302367i	$-0.00962611\pi$
$421$	9.71716	+	16.8306i	0.473586	+	0.820274i	−0.525957	+	0.850511i	$0.676293\pi$
$422$	−24.1740			−1.17677
$423$	−5.64136	+	38.2131i	−0.274292	+	1.85798i
$424$	−9.58320			−0.465401
$425$	3.39232	+	5.87568i	0.164552	+	0.285012i
$426$	5.47922	+	28.7201i	0.265469	+	1.39150i
$427$	−1.41441	+	2.44984i	−0.0684483	+	0.118556i
$428$	17.7563	−	30.7548i	0.858283	−	1.48659i
$429$	37.6125	+	13.0973i	1.81595	+	0.632342i
$430$	1.61170	+	2.79154i	0.0777230	+	0.134620i
$431$	−14.2900			−0.688327			−0.344163	−	0.938910i	$-0.611837\pi$
$431$	−14.2900			−0.688327			−0.344163	+	0.938910i	$0.611837\pi$
$432$	−6.00734	+	11.4926i	−0.289028	+	0.552936i
$433$	−17.5619			−0.843969			−0.421984	−	0.906603i	$-0.638666\pi$
$433$	−17.5619			−0.843969			−0.421984	+	0.906603i	$0.638666\pi$
$434$	4.31770	+	7.47848i	0.207256	+	0.358979i
$435$	5.58768	+	1.94572i	0.267909	+	0.0932900i
$436$	18.3125	−	31.7181i	0.877009	−	1.51902i
$437$	−3.41555	+	5.91591i	−0.163388	+	0.282997i
$438$	7.13846	+	37.4173i	0.341089	+	1.78787i
$439$	12.6745	+	21.9528i	0.604920	+	1.04775i	0.992064	+	0.125733i	$0.0401281\pi$
$439$	12.6745	+	21.9528i	0.604920	+	1.04775i	−0.387145	+	0.922019i	$0.626539\pi$
$440$	−2.25218			−0.107368
$441$	18.6951	−	7.40271i	0.890242	−	0.352510i
$442$	−14.8901			−0.708250
$443$	−5.56670	−	9.64181i	−0.264482	−	0.458096i	0.702946	−	0.711243i	$-0.251868\pi$
$443$	−5.56670	−	9.64181i	−0.264482	−	0.458096i	−0.967428	+	0.253147i	$0.918534\pi$
$444$	−22.5816	+	19.4927i	−1.07168	+	0.925081i
$445$	−0.420304	+	0.727987i	−0.0199243	+	0.0345099i
$446$	−19.5029	+	33.7800i	−0.923488	+	1.59953i
$447$	−13.7849	+	11.8992i	−0.652002	+	0.562814i
$448$	3.21388	+	5.56660i	0.151842	+	0.262997i
$449$	−31.3144			−1.47782			−0.738910	−	0.673804i	$-0.764659\pi$
$449$	−31.3144			−1.47782			−0.738910	+	0.673804i	$0.764659\pi$
$450$	28.9449	−	11.4614i	1.36448	−	0.540294i
$451$	8.84312			0.416406
$452$	14.7310	+	25.5149i	0.692888	+	1.20012i
$453$	−2.33998	−	12.2654i	−0.109942	−	0.576278i
$454$	−5.56513	+	9.63909i	−0.261185	+	0.452385i
$455$	0.529138	−	0.916494i	0.0248064	−	0.0429659i
$456$	3.09276	+	1.07695i	0.144832	+	0.0504328i
$457$	14.6823	+	25.4305i	0.686810	+	1.18959i	0.972864	+	0.231376i	$0.0743227\pi$
$457$	14.6823	+	25.4305i	0.686810	+	1.18959i	−0.286055	+	0.958213i	$0.592344\pi$
$458$	22.8227			1.06644
$459$	3.89712	+	6.14012i	0.181902	+	0.286596i
$460$	4.54173			0.211759
$461$	−4.25947	−	7.37761i	−0.198383	−	0.343610i	0.749621	−	0.661867i	$-0.230236\pi$
$461$	−4.25947	−	7.37761i	−0.198383	−	0.343610i	−0.948004	+	0.318257i	$0.896902\pi$
$462$	−8.83714	−	3.07723i	−0.411141	−	0.143166i
$463$	−4.93810	+	8.55304i	−0.229493	+	0.397494i	−0.957658	−	0.287908i	$-0.907040\pi$
$463$	−4.93810	+	8.55304i	−0.229493	+	0.397494i	0.728165	+	0.685402i	$0.240373\pi$
$464$	10.9196	−	18.9132i	0.506928	−	0.878025i
$465$	0.937046	+	4.91167i	0.0434545	+	0.227773i
$466$	4.71685	+	8.16982i	0.218504	+	0.378460i
$467$	8.73875			0.404381			0.202191	−	0.979346i	$-0.435194\pi$
$467$	8.73875			0.404381			0.202191	+	0.979346i	$0.435194\pi$
$468$	−5.62341	+	38.0915i	−0.259942	+	1.76078i
$469$	−0.545476			−0.0251877
$470$	5.37985	+	9.31818i	0.248154	+	0.429815i
$471$	11.9621	−	10.3258i	0.551186	−	0.475789i
$472$	2.40696	−	4.16898i	0.110789	−	0.191893i
$473$	−8.92344	+	15.4558i	−0.410300	+	0.710661i
$474$	−38.4082	+	33.1543i	−1.76415	+	1.52283i
$475$	3.67523	+	6.36569i	0.168631	+	0.292078i
$476$	1.97159			0.0903676
$477$	−18.0692	−	14.3204i	−0.827334	−	0.655686i
$478$	36.9656			1.69077
$479$	19.2181	+	33.2868i	0.878098	+	1.52091i	0.853425	+	0.521215i	$0.174521\pi$
$479$	19.2181	+	33.2868i	0.878098	+	1.52091i	0.0246730	+	0.999696i	$0.492146\pi$
$480$	0.992932	+	5.20460i	0.0453209	+	0.237557i
$481$	16.5724	−	28.7042i	0.755634	−	1.30880i
$482$	−24.7219	+	42.8197i	−1.12605	+	1.95038i
$483$	4.01965	+	1.39971i	0.182900	+	0.0636889i
$484$	−13.4378	−	23.2750i	−0.610810	−	1.05795i
$485$	−7.03270			−0.319339
$486$	30.4836	−	13.5756i	1.38277	−	0.615802i
$487$	39.3460			1.78294			0.891470	−	0.453080i	$-0.149675\pi$
$487$	39.3460			1.78294			0.891470	+	0.453080i	$0.149675\pi$
$488$	−3.23334	−	5.60032i	−0.146367	−	0.253514i
$489$	5.34705	+	1.86193i	0.241802	+	0.0841993i
$490$	2.80047	−	4.85056i	0.126512	−	0.219126i
$491$	13.6066	−	23.5674i	0.614059	−	1.06358i	−0.376490	−	0.926421i	$-0.622869\pi$
$491$	13.6066	−	23.5674i	0.614059	−	1.06358i	0.990549	−	0.137161i	$-0.0437976\pi$
$492$	1.60214	+	8.39786i	0.0722300	+	0.378605i
$493$	−6.12373	−	10.6066i	−0.275799	−	0.477698i
$494$	−16.1319			−0.725809
$495$	−4.24651	−	3.36548i	−0.190866	−	0.151267i
$496$	18.4563			0.828712
$497$	2.15072	+	3.72515i	0.0964728	+	0.167096i
$498$	5.75714	−	4.96962i	0.257983	−	0.222694i
$499$	7.97950	−	13.8209i	0.357212	−	0.618709i	−0.630282	−	0.776366i	$-0.717061\pi$
$499$	7.97950	−	13.8209i	0.357212	−	0.618709i	0.987494	+	0.157657i	$0.0503942\pi$
$500$	4.96384	−	8.59763i	0.221990	−	0.384498i
$501$	−1.81641	+	1.56794i	−0.0811513	+	0.0700506i
$502$	20.9418	+	36.2723i	0.934678	+	1.61891i
$503$	−16.0748			−0.716739			−0.358370	−	0.933580i	$-0.616667\pi$
$503$	−16.0748			−0.716739			−0.358370	+	0.933580i	$0.616667\pi$
$504$	0.298015	−	2.01867i	0.0132746	−	0.0899189i
$505$	−0.289430			−0.0128795
$506$	22.3101	+	38.6422i	0.991805	+	1.71786i
$507$	−3.79761	−	19.9057i	−0.168658	−	0.884045i
$508$	−16.9215	+	29.3089i	−0.750771	+	1.30037i
$509$	8.54125	−	14.7939i	0.378584	−	0.655728i	−0.612272	−	0.790647i	$-0.709744\pi$
$509$	8.54125	−	14.7939i	0.378584	−	0.655728i	0.990857	+	0.134920i	$0.0430776\pi$
$510$	1.91309	+	0.666168i	0.0847130	+	0.0294984i
$511$	2.80201	+	4.85322i	0.123954	+	0.214694i
$512$	25.7810			1.13937
$513$	4.22213	+	6.65219i	0.186412	+	0.293701i
$514$	−40.5246			−1.78746
$515$	−3.53987	−	6.13124i	−0.155985	−	0.270175i
$516$	−16.2943	−	5.67394i	−0.717317	−	0.249781i
$517$	−29.7865	+	51.5917i	−1.31001	+	2.26900i
$518$	−3.89371	+	6.74411i	−0.171080	+	0.296319i
$519$	2.55227	+	13.3781i	0.112032	+	0.587234i
$520$	1.20961	+	2.09510i	0.0530448	+	0.0918762i
$521$	−39.7672			−1.74223			−0.871116	−	0.491076i	$-0.836604\pi$
$521$	−39.7672			−1.74223			−0.871116	+	0.491076i	$0.836604\pi$
$522$	−52.2506	+	20.6898i	−2.28695	+	0.905566i
$523$	−20.9991			−0.918225			−0.459112	−	0.888378i	$-0.651832\pi$
$523$	−20.9991			−0.918225			−0.459112	+	0.888378i	$0.651832\pi$
$524$	2.31453	+	4.00888i	0.101111	+	0.175129i
$525$	3.46697	−	2.99272i	0.151311	−	0.130613i
$526$	22.0418	−	38.1776i	0.961069	−	1.66462i
$527$	5.17517	−	8.96366i	0.225434	−	0.390463i
$528$	−15.1395	+	13.0686i	−0.658862	+	0.568736i
$529$	1.35205	+	2.34181i	0.0587847	+	0.101818i
$530$	−6.42225			−0.278965
$531$	10.7682	−	4.26388i	0.467298	−	0.185037i
$532$	2.13601			0.0926079
$533$	−4.74949	−	8.22636i	−0.205723	−	0.356323i
$534$	−1.49623	−	7.84271i	−0.0647481	−	0.339387i
$535$	2.68403	−	4.64888i	0.116041	−	0.200988i
$536$	0.623478	−	1.07990i	0.0269301	−	0.0466444i
$537$	13.5234	+	4.70906i	0.583577	+	0.203211i
$538$	−28.2349	−	48.9042i	−1.21729	−	2.10841i
$539$	31.0106			1.33572
$540$	2.42667	−	4.64243i	0.104427	−	0.199778i
$541$	36.8502			1.58432			0.792158	−	0.610316i	$-0.208958\pi$
$541$	36.8502			1.58432			0.792158	+	0.610316i	$0.208958\pi$
$542$	−9.69520	−	16.7926i	−0.416444	−	0.721303i
$543$	−3.77562	−	1.31473i	−0.162028	−	0.0564206i
$544$	5.48382	−	9.49826i	0.235117	−	0.407235i
$545$	2.76810	−	4.79449i	0.118572	−	0.205373i
$546$	1.88367	+	9.87352i	0.0806134	+	0.422548i
$547$	4.35004	+	7.53449i	0.185994	+	0.322152i	0.943911	−	0.330200i	$-0.107116\pi$
$547$	4.35004	+	7.53449i	0.185994	+	0.322152i	−0.757917	+	0.652351i	$0.773783\pi$
$548$	−10.4311			−0.445596
$549$	2.27218	−	15.3911i	0.0969741	−	0.656877i
$550$	48.0126			2.04726
$551$	−6.63443	−	11.4912i	−0.282636	−	0.489541i
$552$	−7.36549	+	6.35796i	−0.313496	+	0.270613i
$553$	−3.73226	+	6.46446i	−0.158712	+	0.274897i
$554$	−34.7109	+	60.1211i	−1.47473	+	2.55430i
$555$	−3.41342	+	2.94650i	−0.144892	+	0.125072i
$556$	−13.9044	−	24.0832i	−0.589679	−	1.02135i
$557$	6.39823			0.271102			0.135551	−	0.990770i	$-0.456720\pi$
$557$	6.39823			0.271102			0.135551	+	0.990770i	$0.456720\pi$
$558$	−37.2210	−	29.4987i	−1.57569	−	1.24878i
$559$	19.1705			0.810826
$560$	0.265711	+	0.460226i	0.0112284	+	0.0194481i
$561$	2.10186	+	11.0172i	0.0887408	+	0.465148i
$562$	−18.1446	+	31.4273i	−0.765383	+	1.32568i
$563$	4.74072	−	8.21117i	0.199798	−	0.346060i	−0.748665	−	0.662948i	$-0.769305\pi$
$563$	4.74072	−	8.21117i	0.199798	−	0.346060i	0.948463	+	0.316889i	$0.102638\pi$
$564$	−54.3904	−	18.9396i	−2.29025	−	0.797502i
$565$	2.22673	+	3.85681i	0.0936792	+	0.162257i
$566$	36.1020			1.51748
$567$	3.57846	−	3.36090i	0.150281	−	0.141145i
$568$	−9.83306			−0.412586
$569$	−19.4717	−	33.7259i	−0.816294	−	1.41386i	−0.908395	−	0.418113i	$-0.862691\pi$
$569$	−19.4717	−	33.7259i	−0.816294	−	1.41386i	0.0921006	−	0.995750i	$-0.470642\pi$
$570$	2.07264	+	0.721725i	0.0868132	+	0.0302297i
$571$	−5.14575	+	8.91270i	−0.215343	+	0.372985i	−0.953379	−	0.301777i	$-0.902420\pi$
$571$	−5.14575	+	8.91270i	−0.215343	+	0.372985i	0.738036	+	0.674762i	$0.235754\pi$
$572$	−29.6917	+	51.4274i	−1.24147	+	2.15029i
$573$	−7.09519	−	37.1905i	−0.296406	−	1.55366i
$574$	1.11590	+	1.93280i	0.0465769	+	0.0806736i
$575$	−21.8390			−0.910748
$576$	−27.7054	−	21.9573i	−1.15439	−	0.914889i
$577$	20.1815			0.840169			0.420084	−	0.907485i	$-0.362000\pi$
$577$	20.1815			0.840169			0.420084	+	0.907485i	$0.362000\pi$
$578$	16.0991	+	27.8845i	0.669636	+	1.15984i
$579$	−24.9937	+	21.5748i	−1.03870	+	0.896618i
$580$	−4.41097	+	7.64002i	−0.183155	+	0.317235i
$581$	0.559441	−	0.968980i	0.0232095	−	0.0402001i
$582$	50.5644	−	43.6476i	2.09596	−	1.80925i
$583$	−17.7789	−	30.7940i	−0.736328	−	1.27536i
$584$	−12.8108			−0.530113
$585$	−0.850030	+	5.75788i	−0.0351444	+	0.238059i
$586$	11.8313			0.488745
$587$	6.97051	+	12.0733i	0.287704	+	0.498318i	0.973261	−	0.229701i	$-0.0737748\pi$
$587$	6.97051	+	12.0733i	0.287704	+	0.498318i	−0.685557	+	0.728019i	$0.740441\pi$
$588$	5.61830	+	29.4491i	0.231695	+	1.21446i
$589$	5.60677	−	9.71121i	0.231023	−	0.400143i
$590$	1.61304	−	2.79387i	0.0664078	−	0.115022i
$591$	−9.28414	−	3.23289i	−0.381899	−	0.132983i
$592$	8.32196	+	14.4141i	0.342030	+	0.592414i
$593$	16.0211			0.657907			0.328953	−	0.944346i	$-0.393304\pi$
$593$	16.0211			0.657907			0.328953	+	0.944346i	$0.393304\pi$
$594$	51.4194	−	2.15800i	2.10976	−	0.0885438i
$595$	0.298024			0.0122178
$596$	−13.5758	−	23.5141i	−0.556088	−	0.963173i
$597$	−2.69652	−	0.938971i	−0.110361	−	0.0384295i
$598$	23.9648	−	41.5082i	0.979992	−	1.69740i
$599$	21.5994	−	37.4113i	0.882529	−	1.52859i	0.0340102	−	0.999421i	$-0.489172\pi$
$599$	21.5994	−	37.4113i	0.882529	−	1.52859i	0.848519	−	0.529164i	$-0.177495\pi$
$600$	1.96204	+	10.2843i	0.0801000	+	0.419856i
$601$	−16.4558	−	28.5022i	−0.671244	−	1.16263i	−0.977552	−	0.210696i	$-0.932427\pi$
$601$	−16.4558	−	28.5022i	−0.671244	−	1.16263i	0.306307	−	0.951933i	$-0.400906\pi$
$602$	−4.50416			−0.183576
$603$	2.78929	−	1.10448i	0.113589	−	0.0449778i
$604$	18.6176			0.757541
$605$	−2.03125	−	3.51823i	−0.0825821	−	0.143036i
$606$	2.08097	−	1.79631i	0.0845336	−	0.0729702i
$607$	0.103974	−	0.180089i	0.00422019	−	0.00730958i	−0.863908	−	0.503650i	$-0.831990\pi$
$607$	0.103974	−	0.180089i	0.00422019	−	0.00730958i	0.868128	+	0.496341i	$0.165323\pi$
$608$	5.94116	−	10.2904i	0.240946	−	0.417330i
$609$	−6.25848	+	5.40238i	−0.253607	+	0.218916i
$610$	−2.16685	−	3.75309i	−0.0877331	−	0.151958i
$611$	63.9912			2.58881
$612$	−10.0817	+	3.99206i	−0.407529	+	0.161370i
$613$	−34.5526			−1.39557			−0.697784	−	0.716309i	$-0.745830\pi$
$613$	−34.5526			−1.39557			−0.697784	+	0.716309i	$0.745830\pi$
$614$	−17.1674	−	29.7349i	−0.692821	−	1.20000i
$615$	0.242178	+	1.26941i	0.00976557	+	0.0511877i
$616$	1.57352	−	2.72542i	0.0633990	−	0.109810i
$617$	5.81649	−	10.0745i	0.234163	−	0.405582i	−0.724866	−	0.688890i	$-0.758098\pi$
$617$	5.81649	−	10.0745i	0.234163	−	0.405582i	0.959029	+	0.283307i	$0.0914317\pi$
$618$	63.5041	+	22.1131i	2.55451	+	0.889521i
$619$	−4.64215	−	8.04045i	−0.186584	−	0.323173i	0.757525	−	0.652806i	$-0.226408\pi$
$619$	−4.64215	−	8.04045i	−0.186584	−	0.323173i	−0.944109	+	0.329633i	$0.893075\pi$
$620$	−7.45543			−0.299417
$621$	−23.3886	+	0.981586i	−0.938552	+	0.0393897i
$622$	−37.3702			−1.49841
$623$	−0.587304	−	1.01724i	−0.0235298	−	0.0407548i
$624$	20.2882	+	7.06469i	0.812180	+	0.282814i
$625$	−11.3687	+	19.6912i	−0.454748	+	0.787647i
$626$	−6.06064	+	10.4973i	−0.242232	+	0.419558i
$627$	2.27715	+	11.9360i	0.0909408	+	0.476680i
$628$	11.7808	+	20.4049i	0.470103	+	0.814243i
$629$	9.33397			0.372170
$630$	0.199717	−	1.35283i	0.00795690	−	0.0538980i
$631$	20.0307			0.797408			0.398704	−	0.917080i	$-0.369460\pi$
$631$	20.0307			0.797408			0.398704	+	0.917080i	$0.369460\pi$
$632$	−8.53193	−	14.7777i	−0.339382	−	0.587827i
$633$	14.8062	−	12.7809i	0.588494	−	0.507994i
$634$	−2.18097	+	3.77755i	−0.0866174	+	0.150026i
$635$	−2.55784	+	4.43032i	−0.101505	+	0.175812i
$636$	26.0224	−	22.4628i	1.03186	−	0.890707i
$637$	−16.6553	−	28.8477i	−0.659905	−	1.14299i
$638$	−86.6711			−3.43134
$639$	−18.5403	−	14.6938i	−0.733445	−	0.581277i
$640$	−3.72902			−0.147402
$641$	18.4115	+	31.8897i	0.727212	+	1.25957i	0.958057	+	0.286577i	$0.0925175\pi$
$641$	18.4115	+	31.8897i	0.727212	+	1.25957i	−0.230846	+	0.972990i	$0.574149\pi$
$642$	9.55481	+	50.0830i	0.377098	+	1.97662i
$643$	−2.41484	+	4.18262i	−0.0952318	+	0.164946i	−0.909705	−	0.415254i	$-0.863693\pi$
$643$	−2.41484	+	4.18262i	−0.0952318	+	0.164946i	0.814474	+	0.580201i	$0.197026\pi$
$644$	−3.17315	+	5.49606i	−0.125040	+	0.216575i
$645$	−2.46304	−	0.857668i	−0.0969820	−	0.0337707i
$646$	−2.27147	−	3.93431i	−0.0893700	−	0.154793i
$647$	−13.6298			−0.535841			−0.267921	−	0.963441i	$-0.586337\pi$
$647$	−13.6298			−0.535841			−0.267921	+	0.963441i	$0.586337\pi$
$648$	2.56351	+	10.9259i	0.100704	+	0.429210i
$649$	17.8617			0.701135
$650$	−25.7867	−	44.6640i	−1.01144	−	1.75186i
$651$	−6.59842	−	2.29767i	−0.258612	−	0.0900529i
$652$	−4.22101	+	7.31101i	−0.165308	+	0.286321i
$653$	7.53459	−	13.0503i	0.294851	−	0.510698i	−0.680099	−	0.733120i	$-0.738063\pi$
$653$	7.53459	−	13.0503i	0.294851	−	0.510698i	0.974950	+	0.222423i	$0.0713965\pi$
$654$	9.85410	+	51.6517i	0.385326	+	2.01974i
$655$	0.349862	+	0.605979i	0.0136702	+	0.0236776i
$656$	4.77000			0.186237
$657$	−24.1548	−	19.1434i	−0.942370	−	0.746856i
$658$	−15.0349			−0.586121
$659$	13.1383	+	22.7561i	0.511794	+	0.886454i	0.999907	+	0.0136728i	$0.00435232\pi$
$659$	13.1383	+	22.7561i	0.511794	+	0.886454i	−0.488112	+	0.872781i	$0.662314\pi$
$660$	6.11561	−	5.27905i	0.238050	−	0.205487i
$661$	−4.85740	+	8.41327i	−0.188931	+	0.327238i	−0.944894	−	0.327376i	$-0.893836\pi$
$661$	−4.85740	+	8.41327i	−0.188931	+	0.327238i	0.755963	+	0.654614i	$0.227169\pi$
$662$	−5.24328	+	9.08163i	−0.203786	+	0.352968i
$663$	9.11997	−	7.87244i	0.354190	−	0.305740i
$664$	1.27888	+	2.21508i	0.0496301	+	0.0859619i
$665$	0.322878			0.0125207
$666$	6.25503	−	42.3700i	0.242378	−	1.64180i
$667$	39.4231			1.52647
$668$	−1.78887	−	3.09842i	−0.0692135	−	0.119881i
$669$	−5.91434	−	31.0009i	−0.228662	−	1.19857i
$670$	0.417828	−	0.723699i	0.0161421	−	0.0279589i
$671$	11.9971	−	20.7796i	0.463143	−	0.802188i
$672$	−6.99195	−	2.43471i	−0.269720	−	0.0939209i
$673$	0.200537	+	0.347340i	0.00773014	+	0.0133890i	0.869865	−	0.493291i	$-0.164206\pi$
$673$	0.200537	+	0.347340i	0.00773014	+	0.0133890i	−0.862134	+	0.506680i	$0.830873\pi$
$674$	−48.4613			−1.86666
$675$	−11.6687	+	22.3232i	−0.449128	+	0.859219i
$676$	30.2149			1.16211
$677$	15.9278	+	27.5877i	0.612155	+	1.06028i	0.990877	+	0.134772i	$0.0430303\pi$
$677$	15.9278	+	27.5877i	0.612155	+	1.06028i	−0.378722	+	0.925510i	$0.623636\pi$
$678$	−39.9467	−	13.9101i	−1.53415	−	0.534214i
$679$	4.91351	−	8.51045i	0.188563	−	0.326601i
$680$	−0.340641	+	0.590007i	−0.0130630	+	0.0226257i
$681$	−1.68765	−	8.84609i	−0.0646710	−	0.338983i
$682$	−36.6229	−	63.4328i	−1.40236	−	2.42897i
$683$	35.3588			1.35297			0.676483	−	0.736459i	$-0.263503\pi$
$683$	35.3588			1.35297			0.676483	+	0.736459i	$0.263503\pi$
$684$	−10.9225	+	4.32499i	−0.417632	+	0.165370i
$685$	−1.57676			−0.0602451
$686$	8.00010	+	13.8566i	0.305445	+	0.529047i
$687$	−13.9786	+	12.0664i	−0.533315	+	0.460363i
$688$	−4.81332	+	8.33692i	−0.183506	+	0.317842i
$689$	−19.0975	+	33.0779i	−0.727557	+	1.26017i
$690$	−4.93604	+	4.26083i	−0.187912	+	0.162207i
$691$	−1.23816	−	2.14456i	−0.0471019	−	0.0815829i	0.841513	−	0.540236i	$-0.181665\pi$
$691$	−1.23816	−	2.14456i	−0.0471019	−	0.0815829i	−0.888615	+	0.458654i	$0.848332\pi$
$692$	−20.3066			−0.771943
$693$	7.03955	−	2.78746i	0.267410	−	0.105887i
$694$	−53.3397			−2.02475
$695$	−2.10178	−	3.64039i	−0.0797252	−	0.138088i
$696$	−3.54183	−	18.5650i	−0.134253	−	0.703705i
$697$	1.33752	−	2.31665i	0.0506620	−	0.0877492i
$698$	11.0978	−	19.2219i	0.420056	−	0.727559i
$699$	−7.20840	−	2.51008i	−0.272647	−	0.0949400i
$700$	3.41440	+	5.91392i	0.129052	+	0.223525i
$701$	−6.06114			−0.228926			−0.114463	−	0.993428i	$-0.536515\pi$
$701$	−6.06114			−0.228926			−0.114463	+	0.993428i	$0.536515\pi$
$702$	−29.6240	−	46.6741i	−1.11808	−	1.76160i
$703$	10.1124			0.381396
$704$	−27.2603	−	47.2162i	−1.02741	−	1.77953i
$705$	−8.22162	−	2.86290i	−0.309644	−	0.107823i
$706$	−20.3242	+	35.2026i	−0.764912	+	1.32487i
$707$	0.202215	−	0.350246i	0.00760507	−	0.0131724i
$708$	3.23607	+	16.9624i	0.121619	+	0.637485i
$709$	10.6931	+	18.5210i	0.401588	+	0.695571i	0.993918	−	0.110125i	$-0.0351251\pi$
$709$	10.6931	+	18.5210i	0.401588	+	0.695571i	−0.592330	+	0.805696i	$0.701792\pi$
$710$	−6.58969			−0.247307
$711$	5.99566	−	40.6131i	0.224855	−	1.52311i
$712$	2.68515			0.100630
$713$	16.6583	+	28.8530i	0.623857	+	1.08055i
$714$	−2.14276	+	1.84965i	−0.0801907	+	0.0692214i
$715$	−4.48817	+	7.77374i	−0.167848	+	0.290721i
$716$	−10.6755	+	18.4905i	−0.398962	+	0.691022i
$717$	−22.6408	+	19.5438i	−0.845538	+	0.729876i
$718$	2.76670	+	4.79206i	0.103252	+	0.178838i
$719$	24.3922			0.909674			0.454837	−	0.890575i	$-0.349698\pi$
$719$	24.3922			0.909674			0.454837	+	0.890575i	$0.349698\pi$
$720$	−2.29058	−	1.81535i	−0.0853648	−	0.0676541i
$721$	9.89276			0.368426
$722$	17.8755	+	30.9613i	0.665259	+	1.15226i
$723$	−7.49705	−	39.2969i	−0.278818	−	1.46147i
$724$	2.98051	−	5.16240i	0.110770	−	0.191859i
$725$	21.2102	−	36.7371i	0.787727	−	1.36438i
$726$	36.4399	+	12.6890i	1.35241	+	0.470932i
$727$	−8.91081	−	15.4340i	−0.330484	−	0.572414i	0.652123	−	0.758113i	$-0.273879\pi$
$727$	−8.91081	−	15.4340i	−0.330484	−	0.572414i	−0.982607	+	0.185699i	$0.940545\pi$
$728$	−3.38045			−0.125288
$729$	−11.4933	+	24.4316i	−0.425678	+	0.904875i
$730$	−8.58522			−0.317753
$731$	2.69933	+	4.67537i	0.0998382	+	0.172925i
$732$	21.9069	+	7.62832i	0.809702	+	0.281951i
$733$	−14.7075	+	25.4742i	−0.543236	+	0.940912i	0.455480	+	0.890246i	$0.349468\pi$
$733$	−14.7075	+	25.4742i	−0.543236	+	0.940912i	−0.998716	+	0.0506657i	$0.983866\pi$
$734$	−5.66040	+	9.80410i	−0.208929	+	0.361876i
$735$	0.849258	+	4.45151i	0.0313253	+	0.164196i
$736$	17.6518	+	30.5738i	0.650653	+	1.12696i
$737$	4.62675			0.170428
$738$	−9.61970	−	7.62389i	−0.354106	−	0.280639i
$739$	3.94820			0.145237			0.0726185	−	0.997360i	$-0.476864\pi$
$739$	3.94820			0.145237			0.0726185	+	0.997360i	$0.476864\pi$
$740$	−3.36166	−	5.82257i	−0.123577	−	0.214042i
$741$	9.88055	−	8.52898i	0.362971	−	0.313320i
$742$	4.48701	−	7.77172i	0.164723	−	0.285309i
$743$	2.69429	−	4.66665i	0.0988440	−	0.171203i	−0.812362	−	0.583153i	$-0.801819\pi$
$743$	2.69429	−	4.66665i	0.0988440	−	0.171203i	0.911206	+	0.411950i	$0.135152\pi$
$744$	12.0908	−	10.4369i	0.443268	−	0.382634i
$745$	−2.05211	−	3.55437i	−0.0751837	−	0.130222i
$746$	4.89964			0.179389
$747$	−0.898710	+	6.08763i	−0.0328821	+	0.222735i
$748$	−16.7231			−0.611457
$749$	3.75048	+	6.49602i	0.137040	+	0.237360i
$750$	2.67109	+	14.0009i	0.0975343	+	0.511241i
$751$	0.788272	−	1.36533i	0.0287645	−	0.0498215i	−0.851285	−	0.524704i	$-0.824176\pi$
$751$	0.788272	−	1.36533i	0.0287645	−	0.0498215i	0.880049	+	0.474882i	$0.157509\pi$
$752$	−16.0669	+	27.8286i	−0.585899	+	1.01481i
$753$	−32.0038	−	11.1442i	−1.16628	−	0.406118i
$754$	46.5495	+	80.6262i	1.69523	+	2.93623i
$755$	2.81423			0.102420
$756$	3.92249	+	6.18008i	0.142659	+	0.224767i
$757$	3.97271			0.144391			0.0721953	−	0.997391i	$-0.477000\pi$
$757$	3.97271			0.144391			0.0721953	+	0.997391i	$0.477000\pi$
$758$	4.08106	+	7.06860i	0.148231	+	0.256743i
$759$	−34.0948	−	11.8724i	−1.23756	−	0.430940i
$760$	−0.369049	+	0.639212i	−0.0133868	+	0.0231866i
$761$	2.90567	−	5.03276i	0.105330	−	0.182438i	−0.808543	−	0.588437i	$-0.799743\pi$
$761$	2.90567	−	5.03276i	0.105330	−	0.182438i	0.913873	+	0.406000i	$0.133077\pi$
$762$	−9.10561	−	47.7284i	−0.329861	−	1.72902i
$763$	3.86796	+	6.69950i	0.140029	+	0.242538i
$764$	56.4515			2.04234
$765$	−1.52394	+	0.603438i	−0.0550983	+	0.0218173i
$766$	−20.1899			−0.729491
$767$	−9.59323	−	16.6160i	−0.346392	−	0.599968i
$768$	−4.08892	+	3.52959i	−0.147546	+	0.127363i
$769$	−1.90562	+	3.30063i	−0.0687184	+	0.119024i	−0.898337	−	0.439306i	$-0.855224\pi$
$769$	−1.90562	+	3.30063i	−0.0687184	+	0.119024i	0.829619	+	0.558330i	$0.188558\pi$
$770$	1.05451	−	1.82646i	0.0380018	−	0.0658210i
$771$	24.8207	−	21.4255i	0.893895	−	0.771619i
$772$	−24.6147	−	42.6339i	−0.885903	−	1.53443i
$773$	−54.5120			−1.96066			−0.980330	−	0.197368i	$-0.936761\pi$
$773$	−54.5120			−1.96066			−0.980330	+	0.197368i	$0.936761\pi$
$774$	23.0320	−	9.12000i	0.827867	−	0.327812i
$775$	35.8495			1.28775
$776$	11.2323	+	19.4549i	0.403215	+	0.698389i
$777$	−1.18079	−	6.18928i	−0.0423606	−	0.222039i
$778$	−36.8219	+	63.7773i	−1.32013	+	2.28653i
$779$	1.44906	−	2.50985i	0.0519180	−	0.0899246i
$780$	−8.19545	−	2.85379i	−0.293444	−	0.102182i
$781$	−18.2425	−	31.5969i	−0.652767	−	1.13063i
$782$	13.4976			0.482671
$783$	21.0640	−	40.2972i	0.752766	−	1.44010i
$784$	16.7272			0.597399
$785$	1.78077	+	3.08439i	0.0635584	+	0.110086i
$786$	−6.27641	−	2.18554i	−0.223872	−	0.0779558i
$787$	17.8577	−	30.9304i	0.636558	−	1.10255i	−0.349625	−	0.936890i	$-0.613691\pi$
$787$	17.8577	−	30.9304i	0.636558	−	1.10255i	0.986183	−	0.165661i	$-0.0529757\pi$
$788$	7.32899	−	12.6942i	0.261085	−	0.452212i
$789$	6.68429	+	35.0367i	0.237967	+	1.24734i
$790$	−5.71773	−	9.90340i	−0.203428	−	0.352347i
$791$	−6.22296			−0.221263
$792$	−2.52777	+	17.1225i	−0.0898205	+	0.608421i
$793$	−25.7738			−0.915254
$794$	30.5829	+	52.9712i	1.08535	+	1.87988i
$795$	3.93353	−	3.39546i	0.139508	−	0.120424i
$796$	2.12866	−	3.68695i	0.0754483	−	0.130680i
$797$	−9.32011	+	16.1429i	−0.330135	+	0.571811i	−0.982538	−	0.186061i	$-0.940428\pi$
$797$	−9.32011	+	16.1429i	−0.330135	+	0.571811i	0.652403	+	0.757872i	$0.273761\pi$
$798$	−2.32146	+	2.00390i	−0.0821787	+	0.0709374i
$799$	9.01036	+	15.6064i	0.318764	+	0.552115i
$800$	37.9876			1.34306
$801$	5.06288	+	4.01248i	0.178888	+	0.141774i
$802$	24.5518			0.866955
$803$	−23.7667	−	41.1652i	−0.838710	−	1.45269i
$804$	0.838244	+	4.39378i	0.0295626	+	0.154957i
$805$	−0.479652	+	0.830781i	−0.0169055	+	0.0292812i
$806$	−39.3391	+	68.1373i	−1.38566	+	2.40003i
$807$	43.1492	+	15.0252i	1.51892	+	0.528914i
$808$	0.462262	+	0.800662i	0.0162623	+	0.0281672i
$809$	23.0051			0.808817			0.404408	−	0.914579i	$-0.367477\pi$
$809$	23.0051			0.808817			0.404408	+	0.914579i	$0.367477\pi$
$810$	1.71795	+	7.32206i	0.0603627	+	0.257271i
$811$	−14.6759			−0.515340			−0.257670	−	0.966233i	$-0.582955\pi$
$811$	−14.6759			−0.515340			−0.257670	+	0.966233i	$0.582955\pi$
$812$	−6.16359	−	10.6756i	−0.216300	−	0.374642i
$813$	14.8164	+	5.15932i	0.519635	+	0.180945i
$814$	33.0266	−	57.2038i	1.15758	−	2.00499i
$815$	−0.638045	+	1.10513i	−0.0223498	+	0.0387109i
$816$	1.13375	+	5.94272i	0.0396892	+	0.208037i
$817$	2.92444	+	5.06529i	0.102313	+	0.177212i
$818$	51.6895			1.80728
$819$	−6.37387	−	5.05148i	−0.222721	−	0.176513i
$820$	−1.92685			−0.0672884
$821$	13.0751	+	22.6467i	0.456324	+	0.790376i	0.998763	−	0.0497188i	$-0.0158325\pi$
$821$	13.0751	+	22.6467i	0.456324	+	0.790376i	−0.542439	+	0.840095i	$0.682499\pi$
$822$	11.3368	−	9.78600i	0.395415	−	0.341326i
$823$	−19.0262	+	32.9543i	−0.663210	+	1.14871i	0.316557	+	0.948573i	$0.397473\pi$
$823$	−19.0262	+	32.9543i	−0.663210	+	1.14871i	−0.979767	+	0.200140i	$0.935860\pi$
$824$	−11.3074	+	19.5850i	−0.393912	+	0.682276i
$825$	−29.4070	+	25.3844i	−1.02382	+	0.883771i
$826$	2.25395	+	3.90396i	0.0784251	+	0.135836i
$827$	−6.12490			−0.212984			−0.106492	−	0.994314i	$-0.533962\pi$
$827$	−6.12490			−0.212984			−0.106492	+	0.994314i	$0.533962\pi$
$828$	5.09749	−	34.5291i	0.177150	−	1.19997i
$829$	−34.9536			−1.21399			−0.606994	−	0.794707i	$-0.707625\pi$
$829$	−34.9536			−1.21399			−0.606994	+	0.794707i	$0.707625\pi$
$830$	0.857049	+	1.48445i	0.0297486	+	0.0515261i
$831$	−10.5263	−	55.1750i	−0.365152	−	1.91400i
$832$	−29.2820	+	50.7180i	−1.01517	+	1.75833i
$833$	4.69033	−	8.12389i	0.162510	−	0.281476i
$834$	37.7052	+	13.1296i	1.30563	+	0.454640i
$835$	−0.270404	−	0.468354i	−0.00935773	−	0.0162081i
$836$	−18.1177			−0.626615
$837$	38.3933	−	1.61131i	1.32707	−	0.0556951i
$838$	−48.1187			−1.66223
$839$	−9.21392	−	15.9590i	−0.318100	−	0.550965i	0.661992	−	0.749511i	$-0.269711\pi$
$839$	−9.21392	−	15.9590i	−0.318100	−	0.550965i	−0.980092	+	0.198546i	$0.936378\pi$
$840$	0.434321	+	0.151238i	0.0149855	+	0.00521819i
$841$	−23.7881	+	41.2022i	−0.820279	+	1.42076i
$842$	20.8013	−	36.0290i	0.716861	−	1.24164i
$843$	−5.50243	−	28.8418i	−0.189514	−	0.993366i
$844$	14.5817	+	25.2563i	0.501923	+	0.869356i
$845$	4.56727			0.157119
$846$	76.8808	−	30.4426i	2.64322	−	1.04664i
$847$	5.67666			0.195052
$848$	−9.58999	−	16.6103i	−0.329322	−	0.570402i
$849$	−22.1119	+	19.0872i	−0.758880	+	0.655072i
$850$	7.26187	−	12.5779i	0.249080	−	0.431420i
$851$	−15.0225	+	26.0197i	−0.514964	+	0.891943i
$852$	26.7009	−	23.0484i	0.914757	−	0.789627i
$853$	1.69751	+	2.94017i	0.0581216	+	0.100670i	0.893622	−	0.448820i	$-0.148156\pi$
$853$	1.69751	+	2.94017i	0.0581216	+	0.100670i	−0.835501	+	0.549490i	$0.814822\pi$
$854$	6.05561			0.207219
$855$	−1.65104	+	0.653763i	−0.0564642	+	0.0223582i
$856$	−17.1472			−0.586078
$857$	−18.0269	−	31.2235i	−0.615787	−	1.06657i	−0.990246	−	0.139331i	$-0.955505\pi$
$857$	−18.0269	−	31.2235i	−0.615787	−	1.06657i	0.374459	−	0.927244i	$-0.377829\pi$
$858$	−15.9773	−	83.7476i	−0.545457	−	2.85910i
$859$	−24.6946	+	42.7724i	−0.842570	+	1.45937i	0.0451445	+	0.998980i	$0.485625\pi$
$859$	−24.6946	+	42.7724i	−0.842570	+	1.45937i	−0.887715	+	0.460394i	$0.847708\pi$
$860$	1.94435	−	3.36770i	0.0663016	−	0.114838i
$861$	−1.70535	−	0.593830i	−0.0581182	−	0.0202377i
$862$	15.2952	+	26.4920i	0.520956	+	0.902322i
$863$	54.8432			1.86688			0.933442	−	0.358729i	$-0.116790\pi$
$863$	54.8432			1.86688			0.933442	+	0.358729i	$0.116790\pi$
$864$	40.6831	−	1.70741i	1.38407	−	0.0580873i
$865$	−3.06954			−0.104367
$866$	18.7971	+	32.5576i	0.638753	+	1.10635i
$867$	−24.6031	−	8.56719i	−0.835565	−	0.290957i
$868$	5.20886	−	9.02201i	0.176800	−	0.306227i
$869$	31.6572	−	54.8318i	1.07390	−	1.86004i
$870$	−2.37358	−	12.4415i	−0.0804719	−	0.421805i
$871$	−2.48495	−	4.30406i	−0.0841992	−	0.145837i
$872$	−17.6843			−0.598865
$873$	−7.89328	+	53.4670i	−0.267147	+	1.80958i
$874$	14.6232			0.494637
$875$	1.04846	+	1.81599i	0.0354445	+	0.0613916i
$876$	34.7866	−	30.0281i	1.17533	−	1.01456i
$877$	−21.8088	+	37.7740i	−0.736432	+	1.27554i	0.217660	+	0.976025i	$0.430158\pi$
$877$	−21.8088	+	37.7740i	−0.736432	+	1.27554i	−0.954092	+	0.299513i	$0.903176\pi$
$878$	27.1320	−	46.9940i	0.915660	−	1.58597i
$879$	−7.24647	+	6.25522i	−0.244417	+	0.210983i
$880$	−2.25377	−	3.90365i	−0.0759747	−	0.131592i
$881$	−43.3909			−1.46188			−0.730939	−	0.682443i	$-0.760918\pi$
$881$	−43.3909			−1.46188			−0.730939	+	0.682443i	$0.760918\pi$
$882$	−33.7338	−	26.7351i	−1.13588	−	0.900216i
$883$	33.0894			1.11355			0.556773	−	0.830664i	$-0.312039\pi$
$883$	33.0894			1.11355			0.556773	+	0.830664i	$0.312039\pi$
$884$	8.98168	+	15.5567i	0.302087	+	0.523229i
$885$	0.489163	+	2.56402i	0.0164430	+	0.0861886i
$886$	−11.9165	+	20.6400i	−0.400343	+	0.693415i
$887$	−11.5036	+	19.9248i	−0.386252	+	0.669009i	−0.991942	−	0.126692i	$-0.959564\pi$
$887$	−11.5036	+	19.9248i	−0.386252	+	0.669009i	0.605690	+	0.795701i	$0.292897\pi$
$888$	13.6027	+	4.73669i	0.456478	+	0.158953i
$889$	−3.57416	−	6.19062i	−0.119873	−	0.207627i
$890$	1.79947			0.0603184
$891$	−30.3527	+	28.5073i	−1.01685	+	0.955031i
$892$	47.0564			1.57556
$893$	9.76180	+	16.9079i	0.326666	+	0.565802i
$894$	36.8142	+	12.8193i	1.23125	+	0.428742i
$895$	−1.61370	+	2.79501i	−0.0539400	+	0.0934269i
$896$	2.60534	−	4.51258i	0.0870383	−	0.150755i
$897$	7.26743	+	38.0933i	0.242652	+	1.27190i
$898$	33.5171	+	58.0533i	1.11848	+	1.93726i
$899$	−64.7146			−2.15835
$900$	−29.4340	−	23.3273i	−0.981133	−	0.777577i
$901$	−10.7562			−0.358341
$902$	−9.46514	−	16.3941i	−0.315155	−	0.545864i
$903$	2.75873	−	2.38136i	0.0918047	−	0.0792466i
$904$	7.11283	−	12.3198i	0.236569	−	0.409750i
$905$	0.450532	−	0.780345i	0.0149762	−	0.0259395i
$906$	−20.2340	+	17.4662i	−0.672229	+	0.580275i
$907$	−0.740854	−	1.28320i	−0.0245997	−	0.0426078i	0.853464	−	0.521153i	$-0.174498\pi$
$907$	−0.740854	−	1.28320i	−0.0245997	−	0.0426078i	−0.878063	+	0.478545i	$0.841164\pi$
$908$	13.4275			0.445607
$909$	−0.324847	+	2.20043i	−0.0107745	+	0.0729835i
$910$	−2.26543			−0.0750982
$911$	3.02729	+	5.24341i	0.100298	+	0.173722i	0.911808	−	0.410618i	$-0.134687\pi$
$911$	3.02729	+	5.24341i	0.100298	+	0.173722i	−0.811509	+	0.584340i	$0.801354\pi$
$912$	1.22830	+	6.43833i	0.0406731	+	0.213194i
$913$	−4.74520	+	8.21893i	−0.157043	+	0.272007i
$914$	31.4301	−	54.4386i	1.03962	−	1.80067i
$915$	3.31143	+	1.15309i	0.109472	+	0.0381200i
$916$	−13.7666	−	23.8445i	−0.454861	−	0.787843i
$917$	−0.977748			−0.0322881
$918$	7.21182	−	13.7968i	0.238025	−	0.455363i
$919$	55.1395			1.81888			0.909442	−	0.415830i	$-0.136509\pi$
$919$	55.1395			1.81888			0.909442	+	0.415830i	$0.136509\pi$
$920$	−1.09648	−	1.89916i	−0.0361499	−	0.0626135i
$921$	26.2357	+	9.13568i	0.864495	+	0.301031i
$922$	−9.11815	+	15.7931i	−0.300290	+	0.520118i
$923$	−19.5954	+	33.9403i	−0.644991	+	1.11716i
$924$	2.11554	+	11.0889i	0.0695963	+	0.364800i
$925$	16.1646	+	27.9979i	0.531489	+	0.920565i
$926$	21.1418			0.694762
$927$	−50.5866	+	20.0308i	−1.66148	+	0.657899i
$928$	−68.5742			−2.25106
$929$	−6.21707	−	10.7683i	−0.203975	−	0.353296i	0.745830	−	0.666136i	$-0.232053\pi$
$929$	−6.21707	−	10.7683i	−0.203975	−	0.353296i	−0.949806	+	0.312840i	$0.898720\pi$
$930$	8.10270	−	6.99433i	0.265698	−	0.229353i
$931$	5.08149	−	8.80140i	0.166539	−	0.288454i
$932$	5.69039	−	9.85604i	0.186395	−	0.322845i
$933$	22.8887	−	19.7577i	0.749341	−	0.646838i
$934$	−9.35343	−	16.2006i	−0.306053	−	0.530100i
$935$	−2.52785			−0.0826695
$936$	17.2859	−	6.84471i	0.565007	−	0.223726i
$937$	22.6534			0.740054			0.370027	−	0.929021i	$-0.379349\pi$
$937$	22.6534			0.740054			0.370027	+	0.929021i	$0.379349\pi$
$938$	0.583844	+	1.01125i	0.0190632	+	0.0330184i
$939$	−1.83792	−	9.63374i	−0.0599783	−	0.314385i
$940$	6.49023	−	11.2414i	0.211688	−	0.366654i
$941$	9.89725	−	17.1425i	0.322641	−	0.558831i	−0.658391	−	0.752676i	$-0.728763\pi$
$941$	9.89725	−	17.1425i	0.322641	−	0.558831i	0.981032	+	0.193845i	$0.0620960\pi$
$942$	−31.9464	−	11.1242i	−1.04087	−	0.362448i
$943$	4.30531	+	7.45701i	0.140200	+	0.242834i
$944$	9.63466			0.313581
$945$	0.592920	+	0.934177i	0.0192877	+	0.0303888i
$946$	38.2044			1.24213
$947$	27.8730	+	48.2774i	0.905751	+	1.56881i	0.819906	+	0.572498i	$0.194025\pi$
$947$	27.8730	+	48.2774i	0.905751	+	1.56881i	0.0858442	+	0.996309i	$0.472641\pi$
$948$	57.8064	+	20.1291i	1.87746	+	0.653763i
$949$	−25.5294	+	44.2183i	−0.828720	+	1.43539i
$950$	7.86749	−	13.6269i	0.255255	−	0.442115i
$951$	−0.661390	−	3.46678i	−0.0214470	−	0.112418i
$952$	−0.475988	−	0.824435i	−0.0154269	−	0.0267201i
$953$	39.0215			1.26403			0.632015	−	0.774956i	$-0.282228\pi$
$953$	39.0215			1.26403			0.632015	+	0.774956i	$0.282228\pi$
$954$	−7.20812	+	48.8259i	−0.233372	+	1.58080i
$955$	8.53317			0.276127
$956$	−22.2976	−	38.6205i	−0.721154	−	1.24908i
$957$	53.0847	−	45.8232i	1.71598	−	1.48125i
$958$	41.1398	−	71.2563i	1.32917	−	2.30218i
$959$	1.10163	−	1.90808i	0.0355735	−	0.0616152i
$960$	6.03124	−	5.20622i	0.194657	−	0.168030i
$961$	−11.8452	−	20.5165i	−0.382104	−	0.661823i
$962$	−70.9522			−2.28759
$963$	−32.3312	−	25.6234i	−1.04186	−	0.825703i
$964$	59.6489			1.92116
$965$	−3.72074	−	6.44452i	−0.119775	−	0.207456i
$966$	−1.70750	−	8.95012i	−0.0549379	−	0.287965i
$967$	1.21102	−	2.09754i	0.0389436	−	0.0674524i	−0.845897	−	0.533347i	$-0.820934\pi$
$967$	1.21102	−	2.09754i	0.0389436	−	0.0674524i	0.884840	+	0.465895i	$0.154267\pi$
$968$	−6.48841	+	11.2383i	−0.208546	+	0.361211i
$969$	3.47132	+	1.20877i	0.111515	+	0.0388313i
$970$	7.52738	+	13.0378i	0.241690	+	0.418619i
$971$	2.96033			0.0950014			0.0475007	−	0.998871i	$-0.484874\pi$
$971$	2.96033			0.0950014			0.0475007	+	0.998871i	$0.484874\pi$
$972$	−32.5710	−	23.6596i	−1.04472	−	0.758882i
$973$	5.87378			0.188305
$974$	−42.1136	−	72.9429i	−1.34941	−	2.33724i
$975$	39.4079	+	13.7225i	1.26206	+	0.439471i
$976$	6.47127	−	11.2086i	0.207140	−	0.358778i
$977$	11.6964	−	20.2587i	0.374200	−	0.648134i	−0.616007	−	0.787741i	$-0.711251\pi$
$977$	11.6964	−	20.2587i	0.374200	−	0.648134i	0.990207	+	0.139607i	$0.0445839\pi$
$978$	−2.27136	−	11.9057i	−0.0726302	−	0.380702i
$979$	4.98153	+	8.62827i	0.159210	+	0.275761i
$980$	−6.75696			−0.215843
$981$	−33.3439	−	26.4260i	−1.06459	−	0.843718i
$982$	−58.2549			−1.85899
$983$	5.10078	+	8.83481i	0.162690	+	0.281787i	0.935832	−	0.352445i	$-0.114650\pi$
$983$	5.10078	+	8.83481i	0.162690	+	0.281787i	−0.773143	+	0.634232i	$0.781316\pi$
$984$	3.12484	−	2.69739i	0.0996162	−	0.0859896i
$985$	1.10785	−	1.91884i	0.0352989	−	0.0611395i
$986$	−13.1089	+	22.7054i	−0.417474	+	0.723086i
$987$	9.20863	−	7.94898i	0.293114	−	0.253019i
$988$	9.73073	+	16.8541i	0.309576	+	0.536201i
$989$	−17.3776			−0.552576
$990$	−1.69400	+	11.4747i	−0.0538390	+	0.364691i
$991$	−20.8381			−0.661943			−0.330971	−	0.943641i	$-0.607376\pi$
$991$	−20.8381			−0.661943			−0.330971	+	0.943641i	$0.607376\pi$
$992$	−28.9761	−	50.1881i	−0.919992	−	1.59347i
$993$	−1.59005	−	8.33449i	−0.0504588	−	0.264487i
$994$	4.60399	−	7.97435i	0.146030	−	0.252931i
$995$	0.321767	−	0.557316i	0.0102007	−	0.0176681i
$996$	−8.66479	−	3.01722i	−0.274554	−	0.0956042i
$997$	−0.430237	−	0.745193i	−0.0136258	−	0.0236005i	0.859132	−	0.511754i	$-0.171004\pi$
$997$	−0.430237	−	0.745193i	−0.0136258	−	0.0236005i	−0.872758	+	0.488153i	$0.837671\pi$
$998$	−34.1631			−1.08141
$999$	18.5700	+	29.2580i	0.587529	+	0.925682i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	603.2.e.b.202.5	✓	66
9.4	even	3		5427.2.a.n.1.29		33
9.5	odd	6		5427.2.a.q.1.5		33
9.7	even	3	inner	603.2.e.b.403.5	yes	66

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
603.2.e.b.202.5	✓	66	1.1	even	1	trivial
603.2.e.b.403.5	yes	66	9.7	even	3	inner
5427.2.a.n.1.29		33	9.4	even	3
5427.2.a.q.1.5		33	9.5	odd	6

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:	\( N \)	\(=\)	\( 603 = 3^{2} \cdot 67 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	603.e (of order \(3\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.07034 - 1.85388i) q^{2} +(1.63572 + 0.569583i) q^{3} +(-1.29125 + 2.23651i) q^{4} +(-0.195185 + 0.338070i) q^{5} +(-0.694834 - 3.64208i) q^{6} +(-0.272738 - 0.472396i) q^{7} +1.24696 q^{8} +(2.35115 + 1.86336i) q^{9} +O(q^{10})\)	\(q+(-1.07034 - 1.85388i) q^{2} +(1.63572 + 0.569583i) q^{3} +(-1.29125 + 2.23651i) q^{4} +(-0.195185 + 0.338070i) q^{5} +(-0.694834 - 3.64208i) q^{6} +(-0.272738 - 0.472396i) q^{7} +1.24696 q^{8} +(2.35115 + 1.86336i) q^{9} +0.835656 q^{10} +(2.31337 + 4.00688i) q^{11} +(-3.38601 + 2.92283i) q^{12} +(2.48495 - 4.30406i) q^{13} +(-0.583844 + 1.01125i) q^{14} +(-0.511826 + 0.441813i) q^{15} +(1.24784 + 2.16132i) q^{16} +1.39959 q^{17} +(0.937913 - 6.35318i) q^{18} +1.51631 q^{19} +(-0.504066 - 0.873067i) q^{20} +(-0.177054 - 0.928054i) q^{21} +(4.95219 - 8.57745i) q^{22} +(-2.25255 + 3.90153i) q^{23} +(2.03967 + 0.710245i) q^{24} +(2.42381 + 4.19815i) q^{25} -10.6389 q^{26} +(2.78448 + 4.38710i) q^{27} +1.40869 q^{28} +(-4.37539 - 7.57840i) q^{29} +(1.36690 + 0.475975i) q^{30} +(3.69765 - 6.40452i) q^{31} +(3.91818 - 6.78648i) q^{32} +(1.50178 + 7.87179i) q^{33} +(-1.49803 - 2.59467i) q^{34} +0.212937 q^{35} +(-7.20335 + 2.85232i) q^{36} +6.66910 q^{37} +(-1.62296 - 2.81105i) q^{38} +(6.51619 - 5.62484i) q^{39} +(-0.243387 + 0.421558i) q^{40} +(0.955652 - 1.65524i) q^{41} +(-1.53099 + 1.32157i) q^{42} +(1.92866 + 3.34054i) q^{43} -11.9486 q^{44} +(-1.08885 + 0.431155i) q^{45} +9.64397 q^{46} +(6.43788 + 11.1507i) q^{47} +(0.810062 + 4.24606i) q^{48} +(3.35123 - 5.80450i) q^{49} +(5.18859 - 8.98690i) q^{50} +(2.28933 + 0.797180i) q^{51} +(6.41739 + 11.1152i) q^{52} -7.68528 q^{53} +(5.15282 - 9.85779i) q^{54} -1.80614 q^{55} +(-0.340092 - 0.589057i) q^{56} +(2.48025 + 0.863663i) q^{57} +(-9.36630 + 16.2229i) q^{58} +(1.93027 - 3.34332i) q^{59} +(-0.327225 - 1.71520i) q^{60} +(-2.59299 - 4.49119i) q^{61} -15.8310 q^{62} +(0.238994 - 1.61888i) q^{63} -11.7838 q^{64} +(0.970048 + 1.68017i) q^{65} +(12.9860 - 11.2096i) q^{66} +(0.500000 - 0.866025i) q^{67} +(-1.80722 + 3.13019i) q^{68} +(-5.90678 + 5.09879i) q^{69} +(-0.227915 - 0.394761i) q^{70} -7.88565 q^{71} +(2.93178 + 2.32352i) q^{72} -10.2736 q^{73} +(-7.13820 - 12.3637i) q^{74} +(1.57347 + 8.24756i) q^{75} +(-1.95793 + 3.39124i) q^{76} +(1.26189 - 2.18566i) q^{77} +(-17.4023 - 6.05977i) q^{78} +(-6.84221 - 11.8510i) q^{79} -0.974237 q^{80} +(2.05581 + 8.76206i) q^{81} -4.09149 q^{82} +(1.02560 + 1.77639i) q^{83} +(2.30423 + 0.802369i) q^{84} +(-0.273178 + 0.473158i) q^{85} +(4.12865 - 7.15103i) q^{86} +(-2.84038 - 14.8883i) q^{87} +(2.88468 + 4.99640i) q^{88} +2.15336 q^{89} +(1.96475 + 1.55712i) q^{90} -2.71096 q^{91} +(-5.81722 - 10.0757i) q^{92} +(9.69622 - 8.36987i) q^{93} +(13.7814 - 23.8701i) q^{94} +(-0.295960 + 0.512618i) q^{95} +(10.2745 - 8.86905i) q^{96} +(9.00775 + 15.6019i) q^{97} -14.3478 q^{98} +(-2.02716 + 13.7314i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 66 q + 7 q^{2} - 33 q^{4} + 18 q^{5} - 3 q^{6} - 48 q^{8} + 4 q^{9}+O(q^{10}) \) 66 * q + 7 * q^2 - 33 * q^4 + 18 * q^5 - 3 * q^6 - 48 * q^8 + 4 * q^9	\( 66 q + 7 q^{2} - 33 q^{4} + 18 q^{5} - 3 q^{6} - 48 q^{8} + 4 q^{9} + 12 q^{11} + q^{12} + 9 q^{14} + 3 q^{15} - 33 q^{16} - 62 q^{17} + 7 q^{18} + 43 q^{20} + 17 q^{21} + 19 q^{23} - 17 q^{24} - 33 q^{25} - 28 q^{26} - 3 q^{27} + 54 q^{28} + 25 q^{29} + 24 q^{30} + 45 q^{32} - 32 q^{33} - 6 q^{34} - 50 q^{35} + 53 q^{36} - 24 q^{37} + 34 q^{38} + 19 q^{39} - 6 q^{40} + 34 q^{41} - 107 q^{42} - 98 q^{44} + 9 q^{45} + 12 q^{46} + 26 q^{47} + 49 q^{48} - 33 q^{49} + 39 q^{50} - 50 q^{51} + 9 q^{52} - 104 q^{53} + 70 q^{54} + 60 q^{55} + 16 q^{56} + 6 q^{57} + 3 q^{58} + 21 q^{59} - 161 q^{60} - 54 q^{62} + q^{63} - 12 q^{64} + 52 q^{65} + 52 q^{66} + 33 q^{67} + 98 q^{68} + 2 q^{69} - 6 q^{70} - 62 q^{71} + 66 q^{72} + 27 q^{74} + 21 q^{75} - 6 q^{76} + 85 q^{77} - 107 q^{78} - 172 q^{80} + 72 q^{81} + 102 q^{82} + 71 q^{83} - 54 q^{84} - 27 q^{85} + 9 q^{86} + 3 q^{87} - 12 q^{88} - 82 q^{89} + 153 q^{90} - 60 q^{91} + 67 q^{92} - 47 q^{93} + 15 q^{94} + 58 q^{95} - 136 q^{96} - 12 q^{97} - 172 q^{98} + 96 q^{99}+O(q^{100}) \) 66 * q + 7 * q^2 - 33 * q^4 + 18 * q^5 - 3 * q^6 - 48 * q^8 + 4 * q^9 + 12 * q^11 + q^12 + 9 * q^14 + 3 * q^15 - 33 * q^16 - 62 * q^17 + 7 * q^18 + 43 * q^20 + 17 * q^21 + 19 * q^23 - 17 * q^24 - 33 * q^25 - 28 * q^26 - 3 * q^27 + 54 * q^28 + 25 * q^29 + 24 * q^30 + 45 * q^32 - 32 * q^33 - 6 * q^34 - 50 * q^35 + 53 * q^36 - 24 * q^37 + 34 * q^38 + 19 * q^39 - 6 * q^40 + 34 * q^41 - 107 * q^42 - 98 * q^44 + 9 * q^45 + 12 * q^46 + 26 * q^47 + 49 * q^48 - 33 * q^49 + 39 * q^50 - 50 * q^51 + 9 * q^52 - 104 * q^53 + 70 * q^54 + 60 * q^55 + 16 * q^56 + 6 * q^57 + 3 * q^58 + 21 * q^59 - 161 * q^60 - 54 * q^62 + q^63 - 12 * q^64 + 52 * q^65 + 52 * q^66 + 33 * q^67 + 98 * q^68 + 2 * q^69 - 6 * q^70 - 62 * q^71 + 66 * q^72 + 27 * q^74 + 21 * q^75 - 6 * q^76 + 85 * q^77 - 107 * q^78 - 172 * q^80 + 72 * q^81 + 102 * q^82 + 71 * q^83 - 54 * q^84 - 27 * q^85 + 9 * q^86 + 3 * q^87 - 12 * q^88 - 82 * q^89 + 153 * q^90 - 60 * q^91 + 67 * q^92 - 47 * q^93 + 15 * q^94 + 58 * q^95 - 136 * q^96 - 12 * q^97 - 172 * q^98 + 96 * q^99

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