LMFDB - Embedded newform 603.2.e.a.202.7

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			202.7
Character	$\chi$	$=$	603.202
Dual form			603.2.e.a.403.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.06157 - 1.83869i) q^{2} +(1.72426 - 0.164099i) q^{3} +(-1.25385 + 2.17173i) q^{4} +(1.30831 - 2.26607i) q^{5} +(-2.13214 - 2.99617i) q^{6} +(-1.66212 - 2.87888i) q^{7} +1.07791 q^{8} +(2.94614 - 0.565900i) q^{9} +O(q^{10})$	\(q+(-1.06157 - 1.83869i) q^{2} +(1.72426 - 0.164099i) q^{3} +(-1.25385 + 2.17173i) q^{4} +(1.30831 - 2.26607i) q^{5} +(-2.13214 - 2.99617i) q^{6} +(-1.66212 - 2.87888i) q^{7} +1.07791 q^{8} +(2.94614 - 0.565900i) q^{9} -5.55545 q^{10} +(-2.01760 - 3.49458i) q^{11} +(-1.80558 + 3.95038i) q^{12} +(-1.47123 + 2.54825i) q^{13} +(-3.52890 + 6.11224i) q^{14} +(1.88401 - 4.12198i) q^{15} +(1.36342 + 2.36152i) q^{16} +6.10456 q^{17} +(-4.16804 - 4.81630i) q^{18} -3.44097 q^{19} +(3.28086 + 5.68261i) q^{20} +(-3.33835 - 4.69118i) q^{21} +(-4.28363 + 7.41947i) q^{22} +(-1.75996 + 3.04835i) q^{23} +(1.85860 - 0.176885i) q^{24} +(-0.923370 - 1.59932i) q^{25} +6.24726 q^{26} +(4.98705 - 1.45922i) q^{27} +8.33619 q^{28} +(2.77035 + 4.79838i) q^{29} +(-9.57904 + 0.911646i) q^{30} +(0.701933 - 1.21578i) q^{31} +(3.97264 - 6.88082i) q^{32} +(-4.05232 - 5.69448i) q^{33} +(-6.48040 - 11.2244i) q^{34} -8.69830 q^{35} +(-2.46504 + 7.10778i) q^{36} -4.67265 q^{37} +(3.65282 + 6.32687i) q^{38} +(-2.11862 + 4.63528i) q^{39} +(1.41025 - 2.44262i) q^{40} +(1.89722 - 3.28608i) q^{41} +(-5.08173 + 11.1182i) q^{42} +(-4.31178 - 7.46822i) q^{43} +10.1191 q^{44} +(2.57211 - 7.41653i) q^{45} +7.47328 q^{46} +(-3.97397 - 6.88312i) q^{47} +(2.73842 + 3.84813i) q^{48} +(-2.02528 + 3.50790i) q^{49} +(-1.96044 + 3.39558i) q^{50} +(10.5258 - 1.00175i) q^{51} +(-3.68941 - 6.39025i) q^{52} +8.51600 q^{53} +(-7.97714 - 7.62057i) q^{54} -10.5586 q^{55} +(-1.79162 - 3.10318i) q^{56} +(-5.93312 + 0.564661i) q^{57} +(5.88182 - 10.1876i) q^{58} +(-4.44105 + 7.69212i) q^{59} +(6.58956 + 9.25991i) q^{60} +(0.0894543 + 0.154939i) q^{61} -2.98059 q^{62} +(-6.52600 - 7.54099i) q^{63} -11.4152 q^{64} +(3.84967 + 6.66783i) q^{65} +(-6.16856 + 13.4960i) q^{66} +(-0.500000 + 0.866025i) q^{67} +(-7.65420 + 13.2575i) q^{68} +(-2.53440 + 5.54495i) q^{69} +(9.23383 + 15.9935i) q^{70} +9.57114 q^{71} +(3.17569 - 0.609991i) q^{72} +6.46014 q^{73} +(4.96033 + 8.59155i) q^{74} +(-1.85458 - 2.60612i) q^{75} +(4.31446 - 7.47286i) q^{76} +(-6.70698 + 11.6168i) q^{77} +(10.7719 - 1.02517i) q^{78} +(0.740040 + 1.28179i) q^{79} +7.13514 q^{80} +(8.35951 - 3.33444i) q^{81} -8.05611 q^{82} +(0.294892 + 0.510768i) q^{83} +(14.3738 - 1.36796i) q^{84} +(7.98668 - 13.8333i) q^{85} +(-9.15449 + 15.8560i) q^{86} +(5.56421 + 7.81904i) q^{87} +(-2.17479 - 3.76685i) q^{88} +10.9087 q^{89} +(-16.3672 + 3.14383i) q^{90} +9.78147 q^{91} +(-4.41346 - 7.64434i) q^{92} +(1.01080 - 2.21151i) q^{93} +(-8.43727 + 14.6138i) q^{94} +(-4.50187 + 7.79746i) q^{95} +(5.72073 - 12.5162i) q^{96} +(6.28231 + 10.8813i) q^{97} +8.59990 q^{98} +(-7.92171 - 9.15378i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 66 q - 7 q^{2} - 33 q^{4} - 18 q^{5} - 3 q^{6} + 36 q^{8} + 4 q^{9}+O(q^{10}) $ 66 * q - 7 * q^2 - 33 * q^4 - 18 * q^5 - 3 * q^6 + 36 * q^8 + 4 * q^9	\( 66 q - 7 q^{2} - 33 q^{4} - 18 q^{5} - 3 q^{6} + 36 q^{8} + 4 q^{9} - 8 q^{11} + q^{12} - 7 q^{14} + 3 q^{15} - 33 q^{16} + 66 q^{17} - 11 q^{18} - 29 q^{20} + q^{21} - 17 q^{23} + 47 q^{24} - 33 q^{25} + 60 q^{26} - 21 q^{27} - 54 q^{28} - 39 q^{29} - 34 q^{30} - 53 q^{32} + 8 q^{33} - 6 q^{34} + 62 q^{35} - 35 q^{36} + 24 q^{37} - 30 q^{38} - 5 q^{39} - 6 q^{40} - 38 q^{41} + 65 q^{42} + 22 q^{44} - 9 q^{45} + 12 q^{46} - 58 q^{47} - 59 q^{48} - 33 q^{49} - 31 q^{50} + 26 q^{51} + 9 q^{52} + 128 q^{53} - 22 q^{54} - 36 q^{55} - 32 q^{56} - 34 q^{57} + 3 q^{58} - 39 q^{59} + 127 q^{60} + 138 q^{62} - 35 q^{63} + 132 q^{64} - 28 q^{65} - 94 q^{66} - 33 q^{67} - 62 q^{68} + 60 q^{69} - 6 q^{70} + 42 q^{71} - 34 q^{72} - 25 q^{74} + 55 q^{75} - 6 q^{76} - 91 q^{77} + 125 q^{78} + 116 q^{80} - 90 q^{82} - 61 q^{83} - 26 q^{84} + 15 q^{85} - 47 q^{86} - q^{87} - 12 q^{88} + 110 q^{89} - 91 q^{90} + 36 q^{91} - 41 q^{92} - 11 q^{93} - 21 q^{94} - 6 q^{95} + 80 q^{96} - 12 q^{97} + 80 q^{98} - 38 q^{99}+O(q^{100}) \) 66 * q - 7 * q^2 - 33 * q^4 - 18 * q^5 - 3 * q^6 + 36 * q^8 + 4 * q^9 - 8 * q^11 + q^12 - 7 * q^14 + 3 * q^15 - 33 * q^16 + 66 * q^17 - 11 * q^18 - 29 * q^20 + q^21 - 17 * q^23 + 47 * q^24 - 33 * q^25 + 60 * q^26 - 21 * q^27 - 54 * q^28 - 39 * q^29 - 34 * q^30 - 53 * q^32 + 8 * q^33 - 6 * q^34 + 62 * q^35 - 35 * q^36 + 24 * q^37 - 30 * q^38 - 5 * q^39 - 6 * q^40 - 38 * q^41 + 65 * q^42 + 22 * q^44 - 9 * q^45 + 12 * q^46 - 58 * q^47 - 59 * q^48 - 33 * q^49 - 31 * q^50 + 26 * q^51 + 9 * q^52 + 128 * q^53 - 22 * q^54 - 36 * q^55 - 32 * q^56 - 34 * q^57 + 3 * q^58 - 39 * q^59 + 127 * q^60 + 138 * q^62 - 35 * q^63 + 132 * q^64 - 28 * q^65 - 94 * q^66 - 33 * q^67 - 62 * q^68 + 60 * q^69 - 6 * q^70 + 42 * q^71 - 34 * q^72 - 25 * q^74 + 55 * q^75 - 6 * q^76 - 91 * q^77 + 125 * q^78 + 116 * q^80 - 90 * q^82 - 61 * q^83 - 26 * q^84 + 15 * q^85 - 47 * q^86 - q^87 - 12 * q^88 + 110 * q^89 - 91 * q^90 + 36 * q^91 - 41 * q^92 - 11 * q^93 - 21 * q^94 - 6 * q^95 + 80 * q^96 - 12 * q^97 + 80 * q^98 - 38 * 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 $

$2$	−1.06157	−	1.83869i	−0.750641	−	1.30015i	−0.947512	−	0.319719i	$-0.896411\pi$
$2$	−1.06157	−	1.83869i	−0.750641	−	1.30015i	0.196871	−	0.980429i	$-0.436922\pi$
$3$	1.72426	−	0.164099i	0.995502	−	0.0947428i
$3$	1.72426	−	0.164099i	0.995502	−	0.0947428i
$4$	−1.25385	+	2.17173i	−0.626925	+	1.08587i
$5$	1.30831	−	2.26607i	0.585096	−	1.01342i	−0.409768	−	0.912190i	$-0.634390\pi$
$5$	1.30831	−	2.26607i	0.585096	−	1.01342i	0.994863	−	0.101226i	$-0.0322764\pi$
$6$	−2.13214	−	2.99617i	−0.870444	−	1.22318i
$7$	−1.66212	−	2.87888i	−0.628222	−	1.08811i	−0.987908	−	0.155039i	$-0.950450\pi$
$7$	−1.66212	−	2.87888i	−0.628222	−	1.08811i	0.359686	−	0.933073i	$-0.382884\pi$
$8$	1.07791			0.381100
$9$	2.94614	−	0.565900i	0.982048	−	0.188633i
$10$	−5.55545			−1.75679
$11$	−2.01760	−	3.49458i	−0.608329	−	1.05366i	−0.991516	−	0.129985i	$-0.958507\pi$
$11$	−2.01760	−	3.49458i	−0.608329	−	1.05366i	0.383187	−	0.923671i	$-0.374826\pi$
$12$	−1.80558	+	3.95038i	−0.521227	+	1.14038i
$13$	−1.47123	+	2.54825i	−0.408047	+	0.706758i	−0.994671	−	0.103101i	$-0.967123\pi$
$13$	−1.47123	+	2.54825i	−0.408047	+	0.706758i	0.586624	+	0.809860i	$0.300457\pi$
$14$	−3.52890	+	6.11224i	−0.943139	+	1.63356i
$15$	1.88401	−	4.12198i	0.486450	−	1.06429i
$16$	1.36342	+	2.36152i	0.340856	+	0.590379i
$17$	6.10456			1.48057			0.740286	−	0.672292i	$-0.234690\pi$
$17$	6.10456			1.48057			0.740286	+	0.672292i	$0.234690\pi$
$18$	−4.16804	−	4.81630i	−0.982417	−	1.13521i
$19$	−3.44097			−0.789412			−0.394706	−	0.918807i	$-0.629154\pi$
$19$	−3.44097			−0.789412			−0.394706	+	0.918807i	$0.629154\pi$
$20$	3.28086	+	5.68261i	0.733622	+	1.27067i
$21$	−3.33835	−	4.69118i	−0.728487	−	1.02370i
$22$	−4.28363	+	7.41947i	−0.913273	+	1.58184i
$23$	−1.75996	+	3.04835i	−0.366978	+	0.635624i	−0.989091	−	0.147303i	$-0.952941\pi$
$23$	−1.75996	+	3.04835i	−0.366978	+	0.635624i	0.622114	+	0.782927i	$0.286274\pi$
$24$	1.85860	−	0.176885i	0.379385	−	0.0361065i
$25$	−0.923370	−	1.59932i	−0.184674	−	0.319865i
$26$	6.24726			1.22519
$27$	4.98705	−	1.45922i	0.959759	−	0.280827i
$28$	8.33619			1.57539
$29$	2.77035	+	4.79838i	0.514441	+	0.891037i	0.999860	+	0.0167556i	$0.00533371\pi$
$29$	2.77035	+	4.79838i	0.514441	+	0.891037i	−0.485419	+	0.874282i	$0.661333\pi$
$30$	−9.57904	+	0.911646i	−1.74889	+	0.166443i
$31$	0.701933	−	1.21578i	0.126071	−	0.218361i	−0.796080	−	0.605191i	$-0.793097\pi$
$31$	0.701933	−	1.21578i	0.126071	−	0.218361i	0.922151	+	0.386830i	$0.126430\pi$
$32$	3.97264	−	6.88082i	0.702270	−	1.21637i
$33$	−4.05232	−	5.69448i	−0.705419	−	0.991282i
$34$	−6.48040	−	11.2244i	−1.11138	−	1.92496i
$35$	−8.69830			−1.47028
$36$	−2.46504	+	7.10778i	−0.410840	+	1.18463i
$37$	−4.67265			−0.768179			−0.384090	−	0.923296i	$-0.625485\pi$
$37$	−4.67265			−0.768179			−0.384090	+	0.923296i	$0.625485\pi$
$38$	3.65282	+	6.32687i	0.592566	+	1.02635i
$39$	−2.11862	+	4.63528i	−0.339251	+	0.742239i
$40$	1.41025	−	2.44262i	0.222980	−	0.386212i
$41$	1.89722	−	3.28608i	0.296296	−	0.513200i	−0.678989	−	0.734148i	$-0.737582\pi$
$41$	1.89722	−	3.28608i	0.296296	−	0.513200i	0.975286	+	0.220948i	$0.0709152\pi$
$42$	−5.08173	+	11.1182i	−0.784128	+	1.71557i
$43$	−4.31178	−	7.46822i	−0.657540	−	1.13889i	−0.981250	−	0.192737i	$-0.938264\pi$
$43$	−4.31178	−	7.46822i	−0.657540	−	1.13889i	0.323710	−	0.946156i	$-0.395070\pi$
$44$	10.1191			1.52550
$45$	2.57211	−	7.41653i	0.383428	−	1.10559i
$46$	7.47328			1.10187
$47$	−3.97397	−	6.88312i	−0.579663	−	1.00401i	−0.995518	−	0.0945749i	$-0.969851\pi$
$47$	−3.97397	−	6.88312i	−0.579663	−	1.00401i	0.415855	−	0.909431i	$-0.363483\pi$
$48$	2.73842	+	3.84813i	0.395256	+	0.555430i
$49$	−2.02528	+	3.50790i	−0.289326	+	0.501128i
$50$	−1.96044	+	3.39558i	−0.277248	+	0.480207i
$51$	10.5258	−	1.00175i	1.47391	−	0.140274i
$52$	−3.68941	−	6.39025i	−0.511630	−	0.886168i
$53$	8.51600			1.16976			0.584882	−	0.811119i	$-0.301141\pi$
$53$	8.51600			1.16976			0.584882	+	0.811119i	$0.301141\pi$
$54$	−7.97714	−	7.62057i	−1.08555	−	1.03703i
$55$	−10.5586			−1.42372
$56$	−1.79162	−	3.10318i	−0.239415	−	0.414680i
$57$	−5.93312	+	0.564661i	−0.785861	+	0.0747911i
$58$	5.88182	−	10.1876i	0.772321	−	1.33770i
$59$	−4.44105	+	7.69212i	−0.578175	+	1.00143i	0.417514	+	0.908671i	$0.362902\pi$
$59$	−4.44105	+	7.69212i	−0.578175	+	1.00143i	−0.995689	+	0.0927577i	$0.970432\pi$
$60$	6.58956	+	9.25991i	0.850709	+	1.19545i
$61$	0.0894543	+	0.154939i	0.0114535	+	0.0198380i	0.871695	−	0.490048i	$-0.163021\pi$
$61$	0.0894543	+	0.154939i	0.0114535	+	0.0198380i	−0.860242	+	0.509886i	$0.829688\pi$
$62$	−2.98059			−0.378536
$63$	−6.52600	−	7.54099i	−0.822198	−	0.950075i
$64$	−11.4152			−1.42690
$65$	3.84967	+	6.66783i	0.477493	+	0.827042i
$66$	−6.16856	+	13.4960i	−0.759298	+	1.66125i
$67$	−0.500000	+	0.866025i	−0.0610847	+	0.105802i
$67$	−0.500000	+	0.866025i	−0.0610847	+	0.105802i
$68$	−7.65420	+	13.2575i	−0.928208	+	1.60770i
$69$	−2.53440	+	5.54495i	−0.305106	+	0.667534i
$70$	9.23383	+	15.9935i	1.10365	+	1.91158i
$71$	9.57114			1.13589			0.567943	−	0.823068i	$-0.307740\pi$
$71$	9.57114			1.13589			0.567943	+	0.823068i	$0.307740\pi$
$72$	3.17569	−	0.609991i	0.374258	−	0.0718881i
$73$	6.46014			0.756102			0.378051	−	0.925785i	$-0.376594\pi$
$73$	6.46014			0.756102			0.378051	+	0.925785i	$0.376594\pi$
$74$	4.96033	+	8.59155i	0.576627	+	0.998747i
$75$	−1.85458	−	2.60612i	−0.214148	−	0.300929i
$76$	4.31446	−	7.47286i	0.494902	−	0.857196i
$77$	−6.70698	+	11.6168i	−0.764331	+	1.32386i
$78$	10.7719	−	1.02517i	1.21968	−	0.116078i
$79$	0.740040	+	1.28179i	0.0832610	+	0.144212i	0.904649	−	0.426158i	$-0.140133\pi$
$79$	0.740040	+	1.28179i	0.0832610	+	0.144212i	−0.821388	+	0.570370i	$0.806800\pi$
$80$	7.13514			0.797732
$81$	8.35951	−	3.33444i	0.928835	−	0.370494i
$82$	−8.05611			−0.889648
$83$	0.294892	+	0.510768i	0.0323686	+	0.0560640i	0.881756	−	0.471706i	$-0.156362\pi$
$83$	0.294892	+	0.510768i	0.0323686	+	0.0560640i	−0.849387	+	0.527770i	$0.823028\pi$
$84$	14.3738	−	1.36796i	1.56831	−	0.149257i
$85$	7.98668	−	13.8333i	0.866277	−	1.50044i
$86$	−9.15449	+	15.8560i	−0.987154	+	1.70980i
$87$	5.56421	+	7.81904i	0.596546	+	0.838290i
$88$	−2.17479	−	3.76685i	−0.231834	−	0.401548i
$89$	10.9087			1.15632			0.578158	−	0.815925i	$-0.303772\pi$
$89$	10.9087			1.15632			0.578158	+	0.815925i	$0.303772\pi$
$90$	−16.3672	+	3.14383i	−1.72525	+	0.331389i
$91$	9.78147			1.02538
$92$	−4.41346	−	7.64434i	−0.460135	−	0.796977i
$93$	1.01080	−	2.21151i	0.104816	−	0.229323i
$94$	−8.43727	+	14.6138i	−0.870238	+	1.50730i
$95$	−4.50187	+	7.79746i	−0.461882	+	0.800003i
$96$	5.72073	−	12.5162i	0.583869	−	1.27743i
$97$	6.28231	+	10.8813i	0.637872	+	1.10483i	0.985899	+	0.167342i	$0.0535184\pi$
$97$	6.28231	+	10.8813i	0.637872	+	1.10483i	−0.348027	+	0.937484i	$0.613148\pi$
$98$	8.59990			0.868721
$99$	−7.92171	−	9.15378i	−0.796162	−	0.919989i
$100$	4.63107			0.463107
$101$	−5.50085	−	9.52775i	−0.547355	−	0.948047i	−0.998455	−	0.0555730i	$-0.982301\pi$
$101$	−5.50085	−	9.52775i	−0.547355	−	0.948047i	0.451100	−	0.892474i	$-0.351032\pi$
$102$	−13.0158	−	18.2903i	−1.28876	−	1.81101i
$103$	0.607840	−	1.05281i	0.0598923	−	0.103736i	−0.834525	−	0.550971i	$-0.814258\pi$
$103$	0.607840	−	1.05281i	0.0598923	−	0.103736i	0.894417	+	0.447234i	$0.147591\pi$
$104$	−1.58586	+	2.74679i	−0.155507	+	0.269345i
$105$	−14.9981	+	1.42738i	−1.46367	+	0.139298i
$106$	−9.04031	−	15.6583i	−0.878073	−	1.52087i
$107$	−12.7316			−1.23081			−0.615407	−	0.788209i	$-0.711008\pi$
$107$	−12.7316			−1.23081			−0.615407	+	0.788209i	$0.711008\pi$
$108$	−3.08398	+	12.6602i	−0.296756	+	1.21823i
$109$	−16.3845			−1.56935			−0.784676	−	0.619906i	$-0.787171\pi$
$109$	−16.3845			−1.56935			−0.784676	+	0.619906i	$0.787171\pi$
$110$	11.2087	+	19.4140i	1.06870	+	1.85105i
$111$	−8.05686	+	0.766779i	−0.764724	+	0.0727794i
$112$	4.53234	−	7.85025i	0.428266	−	0.741779i
$113$	4.21350	−	7.29800i	0.396373	−	0.686538i	−0.596903	−	0.802314i	$-0.703602\pi$
$113$	4.21350	−	7.29800i	0.396373	−	0.686538i	0.993275	+	0.115776i	$0.0369354\pi$
$114$	7.33664	+	10.3097i	0.687140	+	0.965596i
$115$	4.60517	+	7.97639i	0.429434	+	0.743802i
$116$	−13.8944			−1.29006
$117$	−2.89241	+	8.34009i	−0.267404	+	0.771041i
$118$	18.8579			1.73601
$119$	−10.1465	−	17.5743i	−0.930129	−	1.61103i
$120$	2.03080	−	4.44313i	0.185386	−	0.405601i
$121$	−2.64140	+	4.57504i	−0.240127	+	0.415913i
$122$	0.189924	−	0.328957i	0.0171949	−	0.0297824i
$123$	2.73206	−	5.97739i	0.246341	−	0.538963i
$124$	1.76024	+	3.04882i	0.158074	+	0.273792i
$125$	8.25091			0.737984
$126$	−6.93774	+	20.0045i	−0.618063	+	1.78215i
$127$	19.6023			1.73943			0.869713	−	0.493558i	$-0.164304\pi$
$127$	19.6023			1.73943			0.869713	+	0.493558i	$0.164304\pi$
$128$	4.17273	+	7.22738i	0.368821	+	0.638816i
$129$	−8.66016	−	12.1696i	−0.762485	−	1.07147i
$130$	8.17337	−	14.1567i	0.716852	−	1.24162i
$131$	8.90680	−	15.4270i	0.778191	−	1.34787i	−0.154792	−	0.987947i	$-0.549471\pi$
$131$	8.90680	−	15.4270i	0.778191	−	1.34787i	0.932983	−	0.359920i	$-0.117196\pi$
$132$	17.4479	−	1.66053i	1.51864	−	0.144531i
$133$	5.71930	+	9.90612i	0.495926	+	0.858970i
$134$	2.12313			0.183411
$135$	3.21794	−	13.2101i	0.276956	−	1.13694i
$136$	6.58018			0.564246
$137$	−8.02053	−	13.8920i	−0.685240	−	1.18687i	−0.973361	−	0.229276i	$-0.926364\pi$
$137$	−8.02053	−	13.8920i	−0.685240	−	1.18687i	0.288122	−	0.957594i	$-0.406969\pi$
$138$	12.8859	−	1.22636i	1.09692	−	0.104395i
$139$	−2.61992	+	4.53784i	−0.222219	+	0.384895i	−0.955481	−	0.295051i	$-0.904663\pi$
$139$	−2.61992	+	4.53784i	−0.222219	+	0.384895i	0.733263	+	0.679946i	$0.237997\pi$
$140$	10.9064	−	18.8904i	0.921755	−	1.59653i
$141$	−7.98167	−	11.2162i	−0.672178	−	0.944571i
$142$	−10.1604	−	17.5983i	−0.852642	−	1.47682i
$143$	11.8734			0.992907
$144$	5.35322	+	6.18580i	0.446101	+	0.515484i
$145$	14.4979			1.20399
$146$	−6.85787	−	11.8782i	−0.567561	−	0.983045i
$147$	−2.91647	+	6.38087i	−0.240547	+	0.526285i
$148$	5.85880	−	10.1477i	0.481591	−	0.834139i
$149$	−10.7586	+	18.6345i	−0.881381	+	1.52660i	−0.0315745	+	0.999501i	$0.510052\pi$
$149$	−10.7586	+	18.6345i	−0.881381	+	1.52660i	−0.849806	+	0.527095i	$0.823281\pi$
$150$	−2.82309	+	6.17656i	−0.230504	+	0.504314i
$151$	2.38432	+	4.12976i	0.194033	+	0.336075i	0.946583	−	0.322460i	$-0.104510\pi$
$151$	2.38432	+	4.12976i	0.194033	+	0.336075i	−0.752550	+	0.658535i	$0.771177\pi$
$152$	−3.70906			−0.300845
$153$	17.9849	−	3.45457i	1.45399	−	0.279285i
$154$	28.4796			2.29495
$155$	−1.83670	−	3.18125i	−0.147527	−	0.255524i
$156$	−7.41014	−	10.4130i	−0.593286	−	0.833709i
$157$	−2.50169	+	4.33305i	−0.199657	+	0.345815i	−0.948417	−	0.317025i	$-0.897316\pi$
$157$	−2.50169	+	4.33305i	−0.199657	+	0.345815i	0.748761	+	0.662841i	$0.230649\pi$
$158$	1.57120	−	2.72141i	0.124998	−	0.216503i
$159$	14.6838	−	1.39747i	1.16450	−	0.110827i
$160$	−10.3949	−	18.0045i	−0.821791	−	1.42338i
$161$	11.7011			0.922175
$162$	−15.0052	−	11.8308i	−1.17892	−	0.929516i
$163$	16.5624			1.29727			0.648635	−	0.761100i	$-0.275340\pi$
$163$	16.5624			1.29727			0.648635	+	0.761100i	$0.275340\pi$
$164$	4.75766	+	8.24050i	0.371511	+	0.643475i
$165$	−18.2058	+	1.73266i	−1.41732	+	0.134887i
$166$	0.626095	−	1.08443i	0.0485944	−	0.0841680i
$167$	6.52887	−	11.3083i	0.505219	−	0.875065i	−0.494763	−	0.869028i	$-0.664745\pi$
$167$	6.52887	−	11.3083i	0.505219	−	0.875065i	0.999982	−	0.00603686i	$-0.00192160\pi$
$168$	−3.59845	−	5.05668i	−0.277626	−	0.390131i
$169$	2.17094	+	3.76017i	0.166995	+	0.289244i
$170$	−33.9136			−2.60105
$171$	−10.1376	+	1.94724i	−0.775241	+	0.148909i
$172$	21.6253			1.64891
$173$	−5.29464	−	9.17058i	−0.402544	−	0.697226i	0.591488	−	0.806313i	$-0.298541\pi$
$173$	−5.29464	−	9.17058i	−0.402544	−	0.697226i	−0.994032	+	0.109087i	$0.965207\pi$
$174$	8.47000	−	18.5313i	0.642109	−	1.40485i
$175$	−3.06950	+	5.31653i	−0.232033	+	0.401892i
$176$	5.50167	−	9.52918i	0.414704	−	0.718289i
$177$	−6.39524	+	13.9920i	−0.480696	+	1.05170i
$178$	−11.5803	−	20.0576i	−0.867978	−	1.50338i
$179$	23.1411			1.72965			0.864825	−	0.502073i	$-0.167429\pi$
$179$	23.1411			1.72965			0.864825	+	0.502073i	$0.167429\pi$
$180$	12.8817	+	14.8851i	0.960142	+	1.10947i
$181$	−13.3719			−0.993924			−0.496962	−	0.867772i	$-0.665551\pi$
$181$	−13.3719			−0.993924			−0.496962	+	0.867772i	$0.665551\pi$
$182$	−10.3837	−	17.9851i	−0.769690	−	1.33314i
$183$	0.179668	+	0.252476i	0.0132814	+	0.0186636i
$184$	−1.89709	+	3.28585i	−0.139855	+	0.242236i
$185$	−6.11329	+	10.5885i	−0.449458	+	0.778485i
$186$	−5.13932	+	0.489114i	−0.376833	+	0.0358635i
$187$	−12.3165	−	21.3329i	−0.900675	−	1.56001i
$188$	19.9310			1.45362
$189$	−12.4900	−	11.9317i	−0.908513	−	0.867904i
$190$	19.1161			1.38683
$191$	8.25174	+	14.2924i	0.597075	+	1.03416i	0.993250	+	0.115989i	$0.0370038\pi$
$191$	8.25174	+	14.2924i	0.597075	+	1.03416i	−0.396176	+	0.918175i	$0.629663\pi$
$192$	−19.6828	+	1.87323i	−1.42048	+	0.135189i
$193$	8.64862	−	14.9799i	0.622542	−	1.07827i	−0.366469	−	0.930430i	$-0.619433\pi$
$193$	8.64862	−	14.9799i	0.622542	−	1.07827i	0.989011	−	0.147843i	$-0.0472332\pi$
$194$	13.3382	−	23.1024i	0.957626	−	1.65866i
$195$	7.73202	+	10.8653i	0.553702	+	0.778083i
$196$	−5.07880	−	8.79675i	−0.362772	−	0.628339i
$197$	17.2321			1.22774			0.613870	−	0.789407i	$-0.289612\pi$
$197$	17.2321			1.22774			0.613870	+	0.789407i	$0.289612\pi$
$198$	−8.42151	+	24.2829i	−0.598491	+	1.72571i
$199$	−1.44552			−0.102470			−0.0512352	−	0.998687i	$-0.516316\pi$
$199$	−1.44552			−0.102470			−0.0512352	+	0.998687i	$0.516316\pi$
$200$	−0.995312	−	1.72393i	−0.0703792	−	0.121900i
$201$	−0.720016	+	1.57530i	−0.0507860	+	0.111113i
$202$	−11.6790	+	20.2287i	−0.821735	+	1.42329i
$203$	9.20930	−	15.9510i	0.646366	−	1.11954i
$204$	−11.0223	+	24.1153i	−0.771714	+	1.68841i
$205$	−4.96432	−	8.59845i	−0.346723	−	0.600542i
$206$	−2.58105			−0.179830
$207$	−3.46005	+	9.97683i	−0.240490	+	0.693437i
$208$	−8.02365			−0.556340
$209$	6.94249	+	12.0247i	0.480222	+	0.831769i
$210$	18.5460	+	26.0616i	1.27980	+	1.79842i
$211$	−10.9732	+	19.0061i	−0.755426	+	1.30844i	0.189736	+	0.981835i	$0.439237\pi$
$211$	−10.9732	+	19.0061i	−0.755426	+	1.30844i	−0.945162	+	0.326601i	$0.894097\pi$
$212$	−10.6778	+	18.4945i	−0.733353	+	1.27021i
$213$	16.5031	−	1.57062i	1.13078	−	0.107617i
$214$	13.5155	+	23.4095i	0.923900	+	1.60024i
$215$	−22.5646			−1.53890
$216$	5.37561	−	1.57291i	0.365764	−	0.107023i
$217$	−4.66678			−0.316802
$218$	17.3933	+	30.1260i	1.17802	+	2.04039i
$219$	11.1390	−	1.06010i	0.752701	−	0.0716352i
$220$	13.2389	−	22.9304i	0.892566	−	1.54597i
$221$	−8.98124	+	15.5560i	−0.604143	+	1.04641i
$222$	9.96277	+	14.0001i	0.668657	+	0.939623i
$223$	12.6618	+	21.9308i	0.847896	+	1.46860i	0.883083	+	0.469217i	$0.155464\pi$
$223$	12.6618	+	21.9308i	0.847896	+	1.46860i	−0.0351871	+	0.999381i	$0.511203\pi$
$224$	−26.4120			−1.76473
$225$	−3.62544	−	4.18930i	−0.241696	−	0.279287i
$226$	−17.8917			−1.19014
$227$	−7.24390	−	12.5468i	−0.480794	−	0.832760i	0.518963	−	0.854797i	$-0.326318\pi$
$227$	−7.24390	−	12.5468i	−0.480794	−	0.832760i	−0.999757	+	0.0220367i	$0.992985\pi$
$228$	6.21295	−	13.5931i	0.411463	−	0.900228i
$229$	−8.31202	+	14.3968i	−0.549274	+	0.951370i	0.449050	+	0.893506i	$0.351762\pi$
$229$	−8.31202	+	14.3968i	−0.549274	+	0.951370i	−0.998324	+	0.0578641i	$0.981571\pi$
$230$	9.77739	−	16.9349i	0.644702	−	1.11666i
$231$	−9.65826	+	21.1310i	−0.635467	+	1.39032i
$232$	2.98619	+	5.17224i	0.196053	+	0.339574i
$233$	−30.0048			−1.96568			−0.982842	−	0.184452i	$-0.940949\pi$
$233$	−30.0048			−1.96568			−0.982842	+	0.184452i	$0.940949\pi$
$234$	18.4053	−	3.53532i	1.20319	−	0.231111i
$235$	−20.7968			−1.35663
$236$	−11.1368	−	19.2895i	−0.724944	−	1.25564i
$237$	1.48636	+	2.08869i	0.0965496	+	0.135675i
$238$	−21.5424	+	37.3125i	−1.39639	+	2.41861i
$239$	−3.73675	+	6.47225i	−0.241710	+	0.418655i	−0.961202	−	0.275847i	$-0.911042\pi$
$239$	−3.73675	+	6.47225i	−0.241710	+	0.418655i	0.719491	+	0.694502i	$0.244375\pi$
$240$	12.3028	−	1.17087i	0.794144	−	0.0755794i
$241$	1.01610	+	1.75994i	0.0654528	+	0.113368i	0.896895	−	0.442244i	$-0.145817\pi$
$241$	1.01610	+	1.75994i	0.0654528	+	0.113368i	−0.831442	+	0.555612i	$0.812484\pi$
$242$	11.2161			0.720998
$243$	13.8668	−	7.12124i	0.889555	−	0.456828i
$244$	−0.448649			−0.0287218
$245$	5.29942	+	9.17886i	0.338567	+	0.586416i
$246$	−13.8908	+	1.32200i	−0.885646	+	0.0842878i
$247$	5.06247	−	8.76846i	0.322117	−	0.557924i
$248$	0.756622	−	1.31051i	0.0480456	−	0.0832173i
$249$	0.592287	+	0.832305i	0.0375347	+	0.0527452i
$250$	−8.75889	−	15.1708i	−0.553961	−	0.959489i
$251$	20.8111			1.31358			0.656792	−	0.754071i	$-0.271913\pi$
$251$	20.8111			1.31358			0.656792	+	0.754071i	$0.271913\pi$
$252$	24.5596	−	4.71745i	1.54711	−	0.297171i
$253$	14.2036			0.892972
$254$	−20.8092	−	36.0426i	−1.30569	−	2.26151i
$255$	11.5011	−	25.1629i	0.720225	−	1.57576i
$256$	−2.55594	+	4.42702i	−0.159746	+	0.276689i
$257$	8.78812	−	15.2215i	0.548188	−	0.949490i	−0.450211	−	0.892922i	$-0.648651\pi$
$257$	8.78812	−	15.2215i	0.548188	−	0.949490i	0.998399	−	0.0565672i	$-0.0180155\pi$
$258$	−13.1828	+	28.8422i	−0.820722	+	1.79564i
$259$	7.76651	+	13.4520i	0.482587	+	0.835866i
$260$	−19.3076			−1.19741
$261$	10.8772	+	12.5690i	0.673284	+	0.778000i
$262$	−37.8207			−2.33657
$263$	−1.21758	−	2.10891i	−0.0750790	−	0.130041i	0.826042	−	0.563609i	$-0.190588\pi$
$263$	−1.21758	−	2.10891i	−0.0750790	−	0.130041i	−0.901121	+	0.433568i	$0.857254\pi$
$264$	−4.36805	−	6.13815i	−0.268835	−	0.377777i
$265$	11.1416	−	19.2978i	0.684423	−	1.18546i
$266$	12.1428	−	21.0320i	0.744526	−	1.28956i
$267$	18.8094	−	1.79010i	1.15111	−	0.109553i
$268$	−1.25385	−	2.17173i	−0.0765910	−	0.132660i
$269$	−9.24255			−0.563528			−0.281764	−	0.959484i	$-0.590920\pi$
$269$	−9.24255			−0.563528			−0.281764	+	0.959484i	$0.590920\pi$
$270$	−27.7053	+	8.10662i	−1.68609	+	0.493353i
$271$	−20.0921			−1.22051			−0.610255	−	0.792205i	$-0.708933\pi$
$271$	−20.0921			−1.22051			−0.610255	+	0.792205i	$0.708933\pi$
$272$	8.32309	+	14.4160i	0.504661	+	0.874099i
$273$	16.8658	−	1.60513i	1.02076	−	0.0971471i
$274$	−17.0287	+	29.4945i	−1.02874	+	1.78183i
$275$	−3.72598	+	6.45358i	−0.224685	+	0.389166i
$276$	−8.86438	−	12.4566i	−0.533573	−	0.749798i
$277$	6.43778	+	11.1506i	0.386809	+	0.669972i	0.992018	−	0.126094i	$-0.0402441\pi$
$277$	6.43778	+	11.1506i	0.386809	+	0.669972i	−0.605210	+	0.796066i	$0.706911\pi$
$278$	11.1249			0.667227
$279$	1.37998	−	3.97909i	0.0826174	−	0.238222i
$280$	−9.37601			−0.560324
$281$	8.06270	+	13.9650i	0.480980	+	0.833082i	0.999762	−	0.0218247i	$-0.00694758\pi$
$281$	8.06270	+	13.9650i	0.480980	+	0.833082i	−0.518782	+	0.854907i	$0.673614\pi$
$282$	−12.1499	+	26.5825i	−0.723518	+	1.58297i
$283$	−10.6023	+	18.3636i	−0.630239	+	1.09161i	0.357264	+	0.934003i	$0.383710\pi$
$283$	−10.6023	+	18.3636i	−0.630239	+	1.09161i	−0.987503	+	0.157602i	$0.949624\pi$
$284$	−12.0008	+	20.7859i	−0.712115	+	1.23342i
$285$	−6.48283	+	14.1836i	−0.384010	+	0.840164i
$286$	−12.6045	−	21.8316i	−0.745317	−	1.29093i
$287$	−12.6136			−0.744559
$288$	7.81012	−	22.5200i	0.460215	−	1.32700i
$289$	20.2656			1.19210
$290$	−15.3905	−	26.6572i	−0.903763	−	1.56536i
$291$	12.6179	+	17.7312i	0.739677	+	1.03942i
$292$	−8.10004	+	14.0297i	−0.474019	+	0.821025i
$293$	1.16954	−	2.02571i	0.0683253	−	0.118343i	−0.829839	−	0.558003i	$-0.811568\pi$
$293$	1.16954	−	2.02571i	0.0683253	−	0.118343i	0.898164	+	0.439660i	$0.144901\pi$
$294$	14.8285	−	1.41124i	0.864814	−	0.0823051i
$295$	11.6206	+	20.1274i	0.676575	+	1.17186i
$296$	−5.03671			−0.292753
$297$	−15.1612	−	14.4835i	−0.879743	−	0.840420i
$298$	45.6840			2.64640
$299$	−5.17864	−	8.96967i	−0.299488	−	0.518729i
$300$	7.98516	−	0.759955i	0.461023	−	0.0438760i
$301$	−14.3334	+	24.8262i	−0.826163	+	1.43096i
$302$	5.06222	−	8.76802i	0.291298	−	0.504543i
$303$	−11.0484	−	15.5256i	−0.634713	−	0.891924i
$304$	−4.69149	−	8.12590i	−0.269076	−	0.466053i
$305$	0.468137			0.0268055
$306$	−25.4440	−	29.4014i	−1.45454	−	1.68076i
$307$	20.6107			1.17632			0.588159	−	0.808746i	$-0.299853\pi$
$307$	20.6107			1.17632			0.588159	+	0.808746i	$0.299853\pi$
$308$	−16.8191	−	29.1315i	−0.958356	−	1.65992i
$309$	0.875309	−	1.91506i	0.0497946	−	0.108944i
$310$	−3.89955	+	6.75422i	−0.221480	+	0.383614i
$311$	−3.05456	+	5.29066i	−0.173208	+	0.300006i	−0.939540	−	0.342440i	$-0.888747\pi$
$311$	−3.05456	+	5.29066i	−0.173208	+	0.300006i	0.766331	+	0.642445i	$0.222080\pi$
$312$	−2.28369	+	4.99643i	−0.129289	+	0.282867i
$313$	−6.71642	−	11.6332i	−0.379634	−	0.657546i	0.611375	−	0.791341i	$-0.290617\pi$
$313$	−6.71642	−	11.6332i	−0.379634	−	0.657546i	−0.991009	+	0.133795i	$0.957284\pi$
$314$	10.6228			0.599482
$315$	−25.6264	+	4.92236i	−1.44389	+	0.277344i
$316$	−3.71159			−0.208794
$317$	12.9495	+	22.4292i	0.727318	+	1.25975i	0.958013	+	0.286725i	$0.0925667\pi$
$317$	12.9495	+	22.4292i	0.727318	+	1.25975i	−0.230695	+	0.973026i	$0.574100\pi$
$318$	−18.1574	−	25.5154i	−1.01821	−	1.43083i
$319$	11.1789	−	19.3624i	0.625898	−	1.08409i
$320$	−14.9347	+	25.8676i	−0.834874	+	1.44604i
$321$	−21.9527	+	2.08925i	−1.22528	+	0.116611i
$322$	−12.4215	−	21.5146i	−0.692222	−	1.19896i
$323$	−21.0056			−1.16878
$324$	−3.24006	+	22.3355i	−0.180003	+	1.24086i
$325$	5.43397			0.301423
$326$	−17.5821	−	30.4532i	−0.973785	−	1.68664i
$327$	−28.2512	+	2.68869i	−1.56229	+	0.148685i
$328$	2.04504	−	3.54211i	0.112918	−	0.195580i
$329$	−13.2104	+	22.8811i	−0.728315	+	1.26148i
$330$	22.5125	+	31.6354i	1.23927	+	1.74147i
$331$	1.18949	+	2.06026i	0.0653802	+	0.113242i	0.896863	−	0.442309i	$-0.145841\pi$
$331$	1.18949	+	2.06026i	0.0653802	+	0.113242i	−0.831482	+	0.555551i	$0.812507\pi$
$332$	−1.47900			−0.0811707
$333$	−13.7663	+	2.64425i	−0.754389	+	0.144904i
$334$	−27.7233			−1.51695
$335$	1.30831	+	2.26607i	0.0714808	+	0.123808i
$336$	6.52671	−	14.2796i	0.356061	−	0.779017i
$337$	14.1419	−	24.4945i	0.770359	−	1.33430i	−0.167008	−	0.985956i	$-0.553411\pi$
$337$	14.1419	−	24.4945i	0.770359	−	1.33430i	0.937367	−	0.348345i	$-0.113256\pi$
$338$	4.60919	−	7.98335i	0.250707	−	0.434237i
$339$	6.06757	−	13.2751i	0.329545	−	0.721003i
$340$	20.0282	+	34.6898i	1.08618	+	1.88132i
$341$	−5.66487			−0.306770
$342$	14.3421	+	16.5727i	0.775532	+	0.896151i
$343$	−9.80461			−0.529399
$344$	−4.64772	−	8.05009i	−0.250588	−	0.434032i
$345$	9.24943	+	12.9977i	0.497972	+	0.699770i
$346$	−11.2412	+	19.4704i	−0.604332	+	1.04673i
$347$	10.1550	−	17.5890i	0.545148	−	0.944225i	−0.453449	−	0.891282i	$-0.649807\pi$
$347$	10.1550	−	17.5890i	0.545148	−	0.944225i	0.998598	−	0.0529426i	$-0.0168600\pi$
$348$	−23.9575	+	2.28006i	−1.28426	+	0.122224i
$349$	14.4476	+	25.0240i	0.773363	+	1.33950i	0.935710	+	0.352771i	$0.114760\pi$
$349$	14.4476	+	25.0240i	0.773363	+	1.33950i	−0.162346	+	0.986734i	$0.551906\pi$
$350$	13.0339			0.696693
$351$	−3.61867	+	14.8551i	−0.193150	+	0.792908i
$352$	−32.0608			−1.70884
$353$	8.01657	+	13.8851i	0.426679	+	0.739030i	0.996576	−	0.0826866i	$-0.0263500\pi$
$353$	8.01657	+	13.8851i	0.426679	+	0.739030i	−0.569896	+	0.821716i	$0.693017\pi$
$354$	32.5159	−	3.09456i	1.72820	−	0.164474i
$355$	12.5221	−	21.6888i	0.664602	−	1.15112i
$356$	−13.6778	+	23.6907i	−0.724923	+	1.25560i
$357$	−20.3791	−	28.6376i	−1.07858	−	1.51566i
$358$	−24.5659	−	42.5493i	−1.29835	−	2.24880i
$359$	−35.3207			−1.86415			−0.932077	−	0.362260i	$-0.882005\pi$
$359$	−35.3207			−1.86415			−0.932077	+	0.362260i	$0.882005\pi$
$360$	2.77251	−	7.99437i	0.146124	−	0.421340i
$361$	−7.15973			−0.376828
$362$	14.1951	+	24.5867i	0.746080	+	1.29225i
$363$	−3.80370	+	8.32201i	−0.199642	+	0.436792i
$364$	−12.2645	+	21.2427i	−0.642834	+	1.11342i
$365$	8.45189	−	14.6391i	0.442392	−	0.766246i
$366$	0.273496	−	0.598374i	0.0142959	−	0.0312775i
$367$	8.78846	+	15.2221i	0.458754	+	0.794585i	0.998895	−	0.0469892i	$-0.0149626\pi$
$367$	8.78846	+	15.2221i	0.458754	+	0.794585i	−0.540142	+	0.841574i	$0.681629\pi$
$368$	−9.59829			−0.500346
$369$	3.72989	−	10.7549i	0.194170	−	0.559878i
$370$	25.9587			1.34953
$371$	−14.1546	−	24.5165i	−0.734871	−	1.27283i
$372$	3.53541	+	4.96810i	0.183303	+	0.257584i
$373$	4.12974	−	7.15291i	0.213830	−	0.370364i	−0.739080	−	0.673617i	$-0.764740\pi$
$373$	4.12974	−	7.15291i	0.213830	−	0.370364i	0.952910	+	0.303254i	$0.0980729\pi$
$374$	−26.1497	+	45.2926i	−1.35217	+	2.34202i
$375$	14.2267	−	1.35397i	0.734664	−	0.0699186i
$376$	−4.28359	−	7.41940i	−0.220909	−	0.382626i
$377$	−16.3033			−0.839664
$378$	−8.67973	+	35.6315i	−0.446437	+	1.83269i
$379$	11.9924			0.616009			0.308005	−	0.951385i	$-0.400339\pi$
$379$	11.9924			0.616009			0.308005	+	0.951385i	$0.400339\pi$
$380$	−11.2893	−	19.5537i	−0.579130	−	1.00308i
$381$	33.7995	−	3.21673i	1.73160	−	0.164798i
$382$	17.5196	−	30.3448i	0.896378	−	1.55257i
$383$	−16.2195	+	28.0929i	−0.828776	+	1.43548i	0.0702229	+	0.997531i	$0.477629\pi$
$383$	−16.2195	+	28.0929i	−0.828776	+	1.43548i	−0.898999	+	0.437951i	$0.855704\pi$
$384$	8.38088	+	11.7771i	0.427685	+	0.601000i
$385$	17.5497	+	30.3969i	0.894414	+	1.54917i
$386$	−36.7244			−1.86922
$387$	−16.9294	−	19.5624i	−0.860569	−	0.994414i
$388$	−31.5083			−1.59959
$389$	−4.40809	−	7.63504i	−0.223499	−	0.387112i	0.732369	−	0.680908i	$-0.238415\pi$
$389$	−4.40809	−	7.63504i	−0.223499	−	0.387112i	−0.955868	+	0.293796i	$0.905081\pi$
$390$	11.7699	−	25.7511i	0.595993	−	1.30396i
$391$	−10.7438	+	18.6088i	−0.543337	+	0.941088i
$392$	−2.18308	+	3.78121i	−0.110262	+	0.190980i
$393$	12.8261	−	28.0618i	0.646990	−	1.41553i
$394$	−18.2931	−	31.6845i	−0.921592	−	1.59624i
$395$	3.87282			0.194863
$396$	29.8122	−	5.72637i	1.49812	−	0.287761i
$397$	−19.0178			−0.954478			−0.477239	−	0.878774i	$-0.658362\pi$
$397$	−19.0178			−0.954478			−0.477239	+	0.878774i	$0.658362\pi$
$398$	1.53452	+	2.65787i	0.0769185	+	0.133227i
$399$	11.4872	+	16.1422i	0.575077	+	0.808120i
$400$	2.51789	−	4.36111i	0.125894	−	0.218055i
$401$	10.6405	−	18.4299i	0.531362	−	0.920346i	−0.467968	−	0.883745i	$-0.655014\pi$
$401$	10.6405	−	18.4299i	0.531362	−	0.920346i	0.999330	−	0.0366007i	$-0.0116530\pi$
$402$	3.66083	−	0.348405i	0.182586	−	0.0173769i
$403$	2.06542	+	3.57740i	0.102886	+	0.178203i
$404$	27.5889			1.37260
$405$	3.38080	−	23.3057i	0.167993	−	1.15807i
$406$	−39.1052			−1.94076
$407$	9.42753	+	16.3290i	0.467305	+	0.809397i
$408$	11.3459	−	1.07980i	0.561708	−	0.0534582i
$409$	0.281287	−	0.487203i	0.0139087	−	0.0240906i	−0.858987	−	0.511997i	$-0.828906\pi$
$409$	0.281287	−	0.487203i	0.0139087	−	0.0240906i	0.872896	+	0.487906i	$0.162239\pi$
$410$	−10.5399	+	18.2557i	−0.520529	+	0.901583i
$411$	−16.1091	−	22.6372i	−0.794605	−	1.11661i
$412$	1.52428	+	2.64013i	0.0750959	+	0.130070i
$413$	29.5262			1.45289
$414$	22.0173	−	4.22913i	1.08209	−	0.207850i
$415$	1.54324			0.0757549
$416$	11.6894	+	20.2466i	0.573119	+	0.992671i
$417$	−3.77277	+	8.25434i	−0.184753	+	0.404217i
$418$	14.7398	−	25.5302i	0.720949	−	1.24872i
$419$	−8.71847	+	15.1008i	−0.425925	+	0.737724i	−0.996506	−	0.0835173i	$-0.973385\pi$
$419$	−8.71847	+	15.1008i	−0.425925	+	0.737724i	0.570581	+	0.821241i	$0.306718\pi$
$420$	15.7055	−	34.3616i	0.766350	−	1.67668i
$421$	−8.05918	−	13.9589i	−0.392780	−	0.680316i	0.600035	−	0.799974i	$-0.295153\pi$
$421$	−8.05918	−	13.9589i	−0.392780	−	0.680316i	−0.992815	+	0.119658i	$0.961820\pi$
$422$	46.5951			2.26822
$423$	−15.6030	−	18.0298i	−0.758646	−	0.876638i
$424$	9.17951			0.445796
$425$	−5.63676	−	9.76316i	−0.273423	−	0.473583i
$426$	−20.4071	−	28.6768i	−0.988725	−	1.38940i
$427$	0.297368	−	0.515056i	0.0143906	−	0.0249253i
$428$	15.9636	−	27.6497i	0.771628	−	1.33650i
$429$	20.4729	−	1.94842i	0.988440	−	0.0940708i
$430$	23.9539	+	41.4894i	1.15516	+	2.00079i
$431$	−23.7631			−1.14463			−0.572315	−	0.820034i	$-0.693955\pi$
$431$	−23.7631			−1.14463			−0.572315	+	0.820034i	$0.693955\pi$
$432$	10.2454	+	9.78747i	0.492933	+	0.470900i
$433$	−1.62482			−0.0780839			−0.0390420	−	0.999238i	$-0.512431\pi$
$433$	−1.62482			−0.0780839			−0.0390420	+	0.999238i	$0.512431\pi$
$434$	4.95410	+	8.58076i	0.237805	+	0.411890i
$435$	24.9982	−	2.37910i	1.19857	−	0.114069i
$436$	20.5437	−	35.5828i	0.983866	−	1.70411i
$437$	6.05598	−	10.4893i	0.289697	−	0.501770i
$438$	−13.7740	−	19.3557i	−0.658145	−	0.924851i
$439$	−2.17519	−	3.76753i	−0.103816	−	0.179814i	0.809438	−	0.587205i	$-0.199772\pi$
$439$	−2.17519	−	3.76753i	−0.103816	−	0.179814i	−0.913254	+	0.407391i	$0.866439\pi$
$440$	−11.3813			−0.542580
$441$	−3.98166	+	11.4809i	−0.189603	+	0.546708i
$442$	38.1367			1.81398
$443$	5.43885	+	9.42037i	0.258408	+	0.447575i	0.965816	−	0.259230i	$-0.0834689\pi$
$443$	5.43885	+	9.42037i	0.258408	+	0.447575i	−0.707408	+	0.706806i	$0.750136\pi$
$444$	8.43686	−	18.4588i	0.400396	−	0.876014i
$445$	14.2719	−	24.7197i	0.676555	−	1.17183i
$446$	26.8827	−	46.5621i	1.27293	−	2.20478i
$447$	−15.4928	+	33.8962i	−0.732782	+	1.60323i
$448$	18.9734	+	32.8630i	0.896411	+	1.55263i
$449$	−3.73223			−0.176135			−0.0880674	−	0.996115i	$-0.528069\pi$
$449$	−3.73223			−0.176135			−0.0880674	+	0.996115i	$0.528069\pi$
$450$	−3.85417	+	11.1133i	−0.181687	+	0.523885i
$451$	−15.3113			−0.720981
$452$	10.5662	+	18.3012i	0.496992	+	0.860815i
$453$	4.78887	+	6.72951i	0.225001	+	0.316180i
$454$	−15.3798	+	26.6385i	−0.721808	+	1.25021i
$455$	12.7972	−	22.1655i	0.599944	−	1.03913i
$456$	−6.39539	+	0.608655i	−0.299492	+	0.0285029i
$457$	15.9017	+	27.5426i	0.743852	+	1.28839i	0.950729	+	0.310022i	$0.100336\pi$
$457$	15.9017	+	27.5426i	0.743852	+	1.28839i	−0.206878	+	0.978367i	$0.566330\pi$
$458$	35.2951			1.64923
$459$	30.4437	−	8.90788i	1.42099	−	0.415784i
$460$	−23.0968			−1.07689
$461$	9.86037	+	17.0787i	0.459243	+	0.795433i	0.998921	−	0.0464389i	$-0.0147873\pi$
$461$	9.86037	+	17.0787i	0.459243	+	0.795433i	−0.539678	+	0.841872i	$0.681454\pi$
$462$	49.1063	−	4.67349i	2.28463	−	0.217430i
$463$	11.9524	−	20.7022i	0.555476	−	0.962113i	−0.442390	−	0.896823i	$-0.645869\pi$
$463$	11.9524	−	20.7022i	0.555476	−	0.962113i	0.997866	−	0.0652904i	$-0.0207974\pi$
$464$	−7.55430	+	13.0844i	−0.350700	+	0.607430i
$465$	−3.68898	−	5.18390i	−0.171072	−	0.240398i
$466$	31.8522	+	55.1696i	1.47552	+	2.55568i
$467$	−6.11825			−0.283119			−0.141559	−	0.989930i	$-0.545212\pi$
$467$	−6.11825			−0.283119			−0.141559	+	0.989930i	$0.545212\pi$
$468$	−14.4858	−	16.7388i	−0.669605	−	0.773749i
$469$	3.32424			0.153499
$470$	22.0772	+	38.2388i	1.01835	+	1.76383i
$471$	−3.60251	+	7.88183i	−0.165995	+	0.363176i
$472$	−4.78706	+	8.29143i	−0.220342	+	0.381644i
$473$	−17.3989	+	30.1357i	−0.800001	+	1.38564i
$474$	2.26258	−	4.95024i	0.103924	−	0.227372i
$475$	3.17729	+	5.50322i	0.145784	+	0.252505i
$476$	50.8888			2.33248
$477$	25.0894	−	4.81920i	1.14876	−	0.220656i
$478$	15.8673			0.725752
$479$	−21.3450	−	36.9706i	−0.975277	−	1.68923i	−0.679019	−	0.734120i	$-0.737595\pi$
$479$	−21.3450	−	36.9706i	−0.975277	−	1.68923i	−0.296257	−	0.955108i	$-0.595739\pi$
$480$	−20.8781	−	29.3387i	−0.952949	−	1.33912i
$481$	6.87457	−	11.9071i	0.313453	−	0.542917i
$482$	2.15732	−	3.73659i	0.0982632	−	0.170197i
$483$	20.1757	−	1.92014i	0.918026	−	0.0873694i
$484$	−6.62384	−	11.4728i	−0.301084	−	0.521492i
$485$	32.8769			1.49286
$486$	−27.8143	−	17.9370i	−1.26168	−	0.813641i
$487$	−10.3904			−0.470833			−0.235417	−	0.971895i	$-0.575645\pi$
$487$	−10.3904			−0.470833			−0.235417	+	0.971895i	$0.575645\pi$
$488$	0.0964240	+	0.167011i	0.00436491	+	0.00756024i
$489$	28.5579	−	2.71788i	1.29143	−	0.122907i
$490$	11.2514	−	19.4879i	0.508285	−	0.880376i
$491$	11.6953	−	20.2569i	0.527803	−	0.914182i	−0.471671	−	0.881774i	$-0.656349\pi$
$491$	11.6953	−	20.2569i	0.527803	−	0.914182i	0.999475	−	0.0324078i	$-0.0103175\pi$
$492$	9.55570	+	13.4280i	0.430804	+	0.605383i
$493$	16.9117	+	29.2920i	0.761667	+	1.31925i
$494$	−21.4966			−0.967178
$495$	−31.1072	+	5.97511i	−1.39816	+	0.268561i
$496$	3.82812			0.171888
$497$	−15.9084	−	27.5541i	−0.713588	−	1.23597i
$498$	0.901596	−	1.97258i	0.0404015	−	0.0883933i
$499$	−13.3145	+	23.0614i	−0.596038	+	1.03237i	0.397361	+	0.917662i	$0.369926\pi$
$499$	−13.3145	+	23.0614i	−0.596038	+	1.03237i	−0.993399	+	0.114706i	$0.963407\pi$
$500$	−10.3454	+	17.9188i	−0.462660	+	0.801351i
$501$	9.40177	−	20.5699i	0.420040	−	0.918995i
$502$	−22.0924	−	38.2651i	−0.986031	−	1.70786i
$503$	29.2976			1.30632			0.653158	−	0.757221i	$-0.273444\pi$
$503$	29.2976			1.30632			0.653158	+	0.757221i	$0.273444\pi$
$504$	−7.03446	−	8.12853i	−0.313340	−	0.362073i
$505$	−28.7873			−1.28102
$506$	−15.0781	−	26.1160i	−0.670302	−	1.16100i
$507$	4.36030	+	6.12727i	0.193648	+	0.272121i
$508$	−24.5784	+	42.5710i	−1.09049	+	1.88878i
$509$	−10.3901	+	17.9962i	−0.460535	+	0.797669i	−0.998988	−	0.0449861i	$-0.985676\pi$
$509$	−10.3901	+	17.9962i	−0.460535	+	0.797669i	0.538453	+	0.842656i	$0.319009\pi$
$510$	−58.4758	+	5.56519i	−2.58935	+	0.246431i
$511$	−10.7375	−	18.5979i	−0.475000	−	0.822724i
$512$	27.5441			1.21729
$513$	−17.1603	+	5.02112i	−0.757645	+	0.221688i
$514$	−37.3167			−1.64597
$515$	−1.59049	−	2.75481i	−0.0700854	−	0.121392i
$516$	37.2876	−	3.54870i	1.64150	−	0.156223i
$517$	−16.0357	+	27.7747i	−0.705251	+	1.22153i
$518$	16.4893	−	28.5604i	0.724500	−	1.25487i
$519$	−10.6342	−	14.9436i	−0.466790	−	0.655952i
$520$	4.14961	+	7.18734i	0.181973	+	0.315186i
$521$	−31.7691			−1.39183			−0.695914	−	0.718125i	$-0.745001\pi$
$521$	−31.7691			−1.39183			−0.695914	+	0.718125i	$0.745001\pi$
$522$	11.5635	−	33.3427i	0.506121	−	1.45937i
$523$	−26.5442			−1.16070			−0.580348	−	0.814368i	$-0.697084\pi$
$523$	−26.5442			−1.16070			−0.580348	+	0.814368i	$0.697084\pi$
$524$	22.3356	+	38.6864i	0.975735	+	1.69002i
$525$	−4.42018	+	9.67079i	−0.192912	+	0.422068i
$526$	−2.58508	+	4.47749i	−0.112715	+	0.195228i
$527$	4.28499	−	7.42182i	0.186657	−	0.323299i
$528$	7.92258	−	17.3336i	0.344786	−	0.754348i
$529$	5.30505	+	9.18862i	0.230655	+	0.399505i
$530$	−47.3102			−2.05503
$531$	−8.73099	+	25.1753i	−0.378893	+	1.09251i
$532$	−28.6846			−1.24363
$533$	5.58251	+	9.66920i	0.241805	+	0.418819i
$534$	−23.2588	−	32.6842i	−1.00651	−	1.41438i
$535$	−16.6570	+	28.8508i	−0.720144	+	1.24733i
$536$	−0.538956	+	0.933500i	−0.0232794	+	0.0403211i
$537$	39.9013	−	3.79745i	1.72187	−	0.163872i
$538$	9.81159	+	16.9942i	0.423008	+	0.732671i
$539$	16.3448			0.704022
$540$	24.6540	+	23.5520i	1.06094	+	1.01352i
$541$	−14.1184			−0.606997			−0.303498	−	0.952832i	$-0.598155\pi$
$541$	−14.1184			−0.606997			−0.303498	+	0.952832i	$0.598155\pi$
$542$	21.3292	+	36.9432i	0.916166	+	1.58685i
$543$	−23.0566	+	2.19432i	−0.989453	+	0.0941671i
$544$	24.2512	−	42.0043i	1.03976	−	1.80092i
$545$	−21.4361	+	37.1284i	−0.918222	+	1.59041i
$546$	−20.8555	−	29.3070i	−0.892534	−	1.25422i
$547$	11.9411	+	20.6826i	0.510565	+	0.884325i	0.999925	+	0.0122427i	$0.00389706\pi$
$547$	11.9411	+	20.6826i	0.510565	+	0.884325i	−0.489360	+	0.872082i	$0.662770\pi$
$548$	40.2261			1.71837
$549$	0.351225	+	0.405852i	0.0149899	+	0.0173213i
$550$	15.8215			0.674631
$551$	−9.53268	−	16.5111i	−0.406106	−	0.703396i
$552$	−2.73187	+	5.97697i	−0.116276	+	0.254397i
$553$	2.46007	−	4.26097i	0.104613	−	0.181195i
$554$	13.6683	−	23.6741i	0.580709	−	1.00582i
$555$	−8.80333	+	19.2606i	−0.373681	+	0.817566i
$556$	−6.56998	−	11.3795i	−0.278629	−	0.482600i
$557$	3.14332			0.133187			0.0665933	−	0.997780i	$-0.478787\pi$
$557$	3.14332			0.133187			0.0665933	+	0.997780i	$0.478787\pi$
$558$	−8.78126	+	1.68672i	−0.371740	+	0.0714044i
$559$	25.3746			1.07323
$560$	−11.8594	−	20.5412i	−0.501153	−	0.868023i
$561$	−24.7376	−	34.7623i	−1.04442	−	1.46766i
$562$	17.1182	−	29.6496i	0.722087	−	1.25069i
$563$	−2.73916	+	4.74436i	−0.115442	+	0.199951i	−0.917956	−	0.396682i	$-0.870162\pi$
$563$	−2.73916	+	4.74436i	−0.115442	+	0.199951i	0.802514	+	0.596633i	$0.203495\pi$
$564$	34.3663	−	3.27067i	1.44708	−	0.137720i
$565$	−11.0252	−	19.0961i	−0.463832	−	0.803381i
$566$	45.0200			1.89233
$567$	−23.4940	−	18.5238i	−0.986654	−	0.777925i
$568$	10.3169			0.432886
$569$	−5.70523	−	9.88175i	−0.239176	−	0.414265i	0.721302	−	0.692620i	$-0.243544\pi$
$569$	−5.70523	−	9.88175i	−0.239176	−	0.414265i	−0.960478	+	0.278356i	$0.910211\pi$
$570$	32.9612	−	3.13694i	1.38059	−	0.131392i
$571$	−13.4567	+	23.3077i	−0.563146	+	0.975398i	0.434073	+	0.900878i	$0.357076\pi$
$571$	−13.4567	+	23.3077i	−0.563146	+	0.975398i	−0.997219	+	0.0745206i	$0.976257\pi$
$572$	−14.8875	+	25.7859i	−0.622478	+	1.07816i
$573$	16.5735	+	23.2898i	0.692369	+	0.972944i
$574$	13.3902	+	23.1925i	0.558897	+	0.968038i
$575$	6.50039			0.271085
$576$	−33.6308	+	6.45987i	−1.40129	+	0.269161i
$577$	−6.65789			−0.277172			−0.138586	−	0.990350i	$-0.544256\pi$
$577$	−6.65789			−0.277172			−0.138586	+	0.990350i	$0.544256\pi$
$578$	−21.5133	−	37.2622i	−0.894836	−	1.54990i
$579$	12.4543	−	27.2484i	0.517583	−	1.13240i
$580$	−18.1782	+	31.4856i	−0.754810	+	1.30737i
$581$	0.980291	−	1.69791i	0.0406693	−	0.0704414i
$582$	19.2074	−	42.0233i	0.796172	−	1.74192i
$583$	−17.1819	−	29.7599i	−0.711600	−	1.23253i
$584$	6.96347			0.288150
$585$	15.1150	+	17.4658i	0.624929	+	0.722124i
$586$	−4.96619			−0.205151
$587$	12.3987	+	21.4752i	0.511749	+	0.886376i	0.999907	+	0.0136207i	$0.00433574\pi$
$587$	12.3987	+	21.4752i	0.511749	+	0.886376i	−0.488158	+	0.872755i	$0.662331\pi$
$588$	−10.2007	−	14.3344i	−0.420671	−	0.591143i
$589$	−2.41533	+	4.18347i	−0.0995219	+	0.172377i
$590$	24.6720	−	42.7332i	1.01573	−	1.75930i
$591$	29.7127	−	2.82778i	1.22222	−	0.116319i
$592$	−6.37080	−	11.0345i	−0.261838	−	0.453517i
$593$	−39.1739			−1.60868			−0.804339	−	0.594170i	$-0.797480\pi$
$593$	−39.1739			−1.60868			−0.804339	+	0.594170i	$0.797480\pi$
$594$	−10.5361	+	43.2520i	−0.432300	+	1.77465i
$595$	−53.0993			−2.17686
$596$	−26.9794	−	46.7297i	−1.10512	−	1.91412i
$597$	−2.49246	+	0.237209i	−0.102009	+	0.00970834i
$598$	−10.9949	+	19.0438i	−0.449617	+	0.778759i
$599$	−5.99936	+	10.3912i	−0.245127	+	0.424573i	−0.962167	−	0.272459i	$-0.912163\pi$
$599$	−5.99936	+	10.3912i	−0.245127	+	0.424573i	0.717040	+	0.697032i	$0.245496\pi$
$600$	−1.99907	−	2.80917i	−0.0816118	−	0.114684i
$601$	3.84510	+	6.65991i	0.156845	+	0.271663i	0.933729	−	0.357980i	$-0.116534\pi$
$601$	3.84510	+	6.65991i	0.156845	+	0.271663i	−0.776884	+	0.629643i	$0.783201\pi$
$602$	60.8634			2.48061
$603$	−0.982988	+	2.83438i	−0.0400304	+	0.115425i
$604$	−11.9583			−0.486576
$605$	6.91156	+	11.9712i	0.280995	+	0.486698i
$606$	−16.8182	+	36.7960i	−0.683192	+	1.49474i
$607$	−13.7516	+	23.8184i	−0.558159	+	0.966760i	0.439491	+	0.898247i	$0.355159\pi$
$607$	−13.7516	+	23.8184i	−0.558159	+	0.966760i	−0.997650	+	0.0685133i	$0.978174\pi$
$608$	−13.6697	+	23.6767i	−0.554381	+	0.960216i
$609$	13.2617	−	29.0149i	0.537390	−	1.17574i
$610$	−0.496959	−	0.860759i	−0.0201213	−	0.0348511i
$611$	23.3866			0.946119
$612$	−15.0480	+	43.3899i	−0.608278	+	1.75393i
$613$	27.7972			1.12272			0.561359	−	0.827572i	$-0.310279\pi$
$613$	27.7972			1.12272			0.561359	+	0.827572i	$0.310279\pi$
$614$	−21.8797	−	37.8967i	−0.882992	−	1.52939i
$615$	−9.97078	−	14.0113i	−0.402060	−	0.564991i
$616$	−7.22954	+	12.5219i	−0.291286	+	0.504523i
$617$	7.84577	−	13.5893i	0.315859	−	0.547084i	−0.663761	−	0.747945i	$-0.731041\pi$
$617$	7.84577	−	13.5893i	0.315859	−	0.547084i	0.979620	+	0.200861i	$0.0643741\pi$
$618$	−4.45041	+	0.423549i	−0.179022	+	0.0170376i
$619$	−22.6212	−	39.1810i	−0.909221	−	1.57482i	−0.815149	−	0.579251i	$-0.803345\pi$
$619$	−22.6212	−	39.1810i	−0.909221	−	1.57482i	−0.0940719	−	0.995565i	$-0.529988\pi$
$620$	9.21176			0.369953
$621$	−4.32883	+	17.7704i	−0.173710	+	0.713103i
$622$	12.9705			0.520069
$623$	−18.1315	−	31.4047i	−0.726423	−	1.25820i
$624$	−13.8349	+	1.31668i	−0.553838	+	0.0527092i
$625$	15.4116	−	26.6937i	0.616465	−	1.06775i
$626$	−14.2599	+	24.6988i	−0.569939	+	0.987162i
$627$	13.9439	+	19.5945i	0.556866	+	0.782530i
$628$	−6.27348	−	10.8660i	−0.250339	−	0.433600i
$629$	−28.5245			−1.13735
$630$	36.2549	+	41.8936i	1.44443	+	1.66908i
$631$	−35.3634			−1.40780			−0.703898	−	0.710301i	$-0.748559\pi$
$631$	−35.3634			−1.40780			−0.703898	+	0.710301i	$0.748559\pi$
$632$	0.797699	+	1.38165i	0.0317307	+	0.0549593i
$633$	−15.8017	+	34.5722i	−0.628063	+	1.37412i
$634$	27.4936	−	47.6203i	1.09191	−	1.89124i
$635$	25.6460	−	44.4202i	1.01773	−	1.76276i
$636$	−15.3763	+	33.6415i	−0.609712	+	1.33397i
$637$	−5.95934	−	10.3219i	−0.236118	−	0.408968i
$638$	−47.4686			−1.87930
$639$	28.1979	−	5.41631i	1.11549	−	0.214266i
$640$	21.8370			0.863182
$641$	15.0364	+	26.0438i	0.593902	+	1.02867i	0.993701	+	0.112065i	$0.0357466\pi$
$641$	15.0364	+	26.0438i	0.593902	+	1.02867i	−0.399799	+	0.916603i	$0.630920\pi$
$642$	27.1457	+	38.1462i	1.07136	+	1.50551i
$643$	18.0476	−	31.2593i	0.711726	−	1.23275i	−0.252483	−	0.967601i	$-0.581247\pi$
$643$	18.0476	−	31.2593i	0.711726	−	1.23275i	0.964209	−	0.265144i	$-0.0854195\pi$
$644$	−14.6714	+	25.4116i	−0.578134	+	1.00136i
$645$	−38.9073	+	3.70284i	−1.53197	+	0.145799i
$646$	22.2988	+	38.6227i	0.877336	+	1.51959i
$647$	−23.4470			−0.921796			−0.460898	−	0.887453i	$-0.652473\pi$
$647$	−23.4470			−0.921796			−0.460898	+	0.887453i	$0.652473\pi$
$648$	9.01083	−	3.59424i	0.353979	−	0.141195i
$649$	35.8410			1.40688
$650$	−5.76853	−	9.99138i	−0.226260	−	0.391894i
$651$	−8.04675	+	0.765816i	−0.315377	+	0.0300147i
$652$	−20.7668	+	35.9692i	−0.813291	+	1.40866i
$653$	−6.55118	+	11.3470i	−0.256367	+	0.444041i	−0.965266	−	0.261269i	$-0.915859\pi$
$653$	−6.55118	+	11.3470i	−0.256367	+	0.444041i	0.708899	+	0.705310i	$0.249192\pi$
$654$	34.9342	+	49.0909i	1.36603	+	1.91961i
$655$	−23.3058	−	40.3668i	−0.910633	−	1.57726i
$656$	10.3468			0.403977
$657$	19.0325	−	3.65579i	0.742528	−	0.142626i
$658$	56.0950			2.18681
$659$	16.3733	+	28.3594i	0.637813	+	1.10472i	0.985912	+	0.167267i	$0.0534941\pi$
$659$	16.3733	+	28.3594i	0.637813	+	1.10472i	−0.348099	+	0.937458i	$0.613173\pi$
$660$	19.0644	−	41.7105i	0.742082	−	1.62358i
$661$	−7.02934	+	12.1752i	−0.273410	+	0.473559i	−0.969733	−	0.244169i	$-0.921485\pi$
$661$	−7.02934	+	12.1752i	−0.273410	+	0.473559i	0.696323	+	0.717729i	$0.254818\pi$
$662$	2.52544	−	4.37420i	0.0981542	−	0.170008i
$663$	−12.9333	+	28.2963i	−0.502286	+	1.09894i
$664$	0.317868	+	0.550563i	0.0123357	+	0.0213660i
$665$	29.9306			1.16066
$666$	19.4758	+	22.5049i	0.754672	+	0.872046i
$667$	−19.5028			−0.755153
$668$	16.3724	+	28.3579i	0.633469	+	1.09720i
$669$	25.4310	+	35.7367i	0.983221	+	1.38166i
$670$	2.77773	−	4.81116i	0.107313	−	0.185871i
$671$	0.360966	−	0.625211i	0.0139349	−	0.0241360i
$672$	−45.5412	+	4.33420i	−1.75679	+	0.167195i
$673$	15.3026	+	26.5049i	0.589872	+	1.02169i	0.994249	+	0.107095i	$0.0341550\pi$
$673$	15.3026	+	26.5049i	0.589872	+	1.02169i	−0.404377	+	0.914592i	$0.632512\pi$
$674$	−60.0503			−2.31305
$675$	−6.93865	−	6.62851i	−0.267069	−	0.255131i
$676$	−10.8881			−0.418774
$677$	−7.94855	−	13.7673i	−0.305488	−	0.529120i	0.671882	−	0.740658i	$-0.265486\pi$
$677$	−7.94855	−	13.7673i	−0.305488	−	0.529120i	−0.977370	+	0.211538i	$0.932153\pi$
$678$	−30.8499	+	2.93601i	−1.18478	+	0.112757i
$679$	20.8839	−	36.1720i	0.801451	−	1.38815i
$680$	8.60894	−	14.9111i	0.330138	−	0.571815i
$681$	−14.5493	−	20.4452i	−0.557530	−	0.783462i
$682$	6.01364	+	10.4159i	0.230274	+	0.398847i
$683$	−21.1940			−0.810966			−0.405483	−	0.914103i	$-0.632897\pi$
$683$	−21.1940			−0.810966			−0.405483	+	0.914103i	$0.632897\pi$
$684$	8.48212	−	24.4577i	0.324322	−	0.935162i
$685$	−41.9735			−1.60372
$686$	10.4083	+	18.0276i	0.397389	+	0.688298i
$687$	−11.9696	+	26.1879i	−0.456668	+	0.999131i
$688$	11.7576	−	20.3647i	0.448253	−	0.776396i
$689$	−12.5290	+	21.7009i	−0.477318	+	0.826740i
$690$	14.0798	−	30.8047i	0.536007	−	1.17271i
$691$	−1.34588	−	2.33114i	−0.0511998	−	0.0886807i	0.839290	−	0.543685i	$-0.182971\pi$
$691$	−1.34588	−	2.33114i	−0.0511998	−	0.0886807i	−0.890489	+	0.455004i	$0.849638\pi$
$692$	26.5547			1.00946
$693$	−13.1858	+	38.0203i	−0.500885	+	1.44427i
$694$	−43.1208			−1.63684
$695$	6.85536	+	11.8738i	0.260039	+	0.450400i
$696$	5.99773	+	8.42825i	0.227343	+	0.319472i
$697$	11.5817	−	20.0601i	0.438688	−	0.759830i
$698$	30.6742	−	53.1293i	1.16104	−	2.01097i
$699$	−51.7362	+	4.92378i	−1.95684	+	0.186234i
$700$	−7.69739	−	13.3323i	−0.290934	−	0.503912i
$701$	−21.2087			−0.801043			−0.400522	−	0.916287i	$-0.631171\pi$
$701$	−21.2087			−0.801043			−0.400522	+	0.916287i	$0.631171\pi$
$702$	31.1554	−	9.11611i	1.17588	−	0.344065i
$703$	16.0784			0.606410
$704$	23.0313	+	39.8914i	0.868025	+	1.50346i
$705$	−35.8591	+	3.41274i	−1.35053	+	0.128531i
$706$	17.0203	−	29.4800i	0.640566	−	1.10949i
$707$	−18.2861	+	31.6725i	−0.687721	+	1.19117i
$708$	−22.3681	−	31.4326i	−0.840646	−	1.18131i
$709$	−6.75011	−	11.6915i	−0.253506	−	0.439085i	0.710983	−	0.703209i	$-0.248250\pi$
$709$	−6.75011	−	11.6915i	−0.253506	−	0.439085i	−0.964489	+	0.264125i	$0.914917\pi$
$710$	−53.1720			−1.99551
$711$	2.90563	+	3.35754i	0.108970	+	0.125918i
$712$	11.7586			0.440671
$713$	2.47075	+	4.27947i	0.0925304	+	0.160267i
$714$	−31.0217	+	67.8716i	−1.16096	+	2.54003i
$715$	15.5342	−	26.9060i	0.580945	−	1.00623i
$716$	−29.0155	+	50.2563i	−1.08436	+	1.87817i
$717$	−5.38104	+	11.7730i	−0.200959	+	0.439672i
$718$	37.4953	+	64.9437i	1.39931	+	2.42368i
$719$	36.8257			1.37337			0.686683	−	0.726957i	$-0.259066\pi$
$719$	36.8257			1.37337			0.686683	+	0.726957i	$0.259066\pi$
$720$	21.0211	−	4.03777i	0.783411	−	0.150479i
$721$	−4.04121			−0.150503
$722$	7.60054	+	13.1645i	0.282863	+	0.489933i
$723$	2.04083	+	2.86785i	0.0758992	+	0.106657i
$724$	16.7663	−	29.0401i	0.623116	−	1.07927i
$725$	5.11611	−	8.86136i	0.190008	−	0.329103i
$726$	19.3395	−	1.84055i	0.717755	−	0.0683094i
$727$	−15.3540	−	26.5938i	−0.569447	−	0.986310i	−0.996621	−	0.0821409i	$-0.973824\pi$
$727$	−15.3540	−	26.5938i	−0.569447	−	0.986310i	0.427174	−	0.904169i	$-0.359509\pi$
$728$	10.5436			0.390771
$729$	22.7414	−	14.5544i	0.842273	−	0.539052i
$730$	−35.8890			−1.32831
$731$	−26.3215	−	45.5902i	−0.973536	−	1.68621i
$732$	−0.773587	+	0.0736230i	−0.0285926	+	0.00272118i
$733$	−10.4950	+	18.1779i	−0.387642	+	0.671415i	−0.992132	−	0.125197i	$-0.960044\pi$
$733$	−10.4950	+	18.1779i	−0.387642	+	0.671415i	0.604490	+	0.796613i	$0.293377\pi$
$734$	18.6591	−	32.3185i	0.688719	−	1.19290i
$735$	10.6438	+	14.9571i	0.392603	+	0.551701i
$736$	13.9834	+	24.2200i	0.515435	+	0.892760i
$737$	4.03520			0.148638
$738$	−23.7344	+	4.55895i	−0.873677	+	0.167817i
$739$	22.9691			0.844933			0.422466	−	0.906379i	$-0.361164\pi$
$739$	22.9691			0.844933			0.422466	+	0.906379i	$0.361164\pi$
$740$	−15.3303	−	26.5529i	−0.563553	−	0.976103i
$741$	7.29012	−	15.9498i	0.267809	−	0.585932i
$742$	−30.0522	+	52.0519i	−1.10325	+	1.91088i
$743$	8.19595	−	14.1958i	0.300680	−	0.520793i	−0.675610	−	0.737259i	$-0.736120\pi$
$743$	8.19595	−	14.1958i	0.300680	−	0.520793i	0.976290	+	0.216466i	$0.0694530\pi$
$744$	1.08956	−	2.38382i	0.0399452	−	0.0873950i
$745$	28.1513	+	48.7595i	1.03138	+	1.78641i
$746$	−17.5360			−0.642037
$747$	1.15784	+	1.33792i	0.0423630	+	0.0489518i
$748$	61.7724			2.25862
$749$	21.1615	+	36.6528i	0.773225	+	1.33927i
$750$	−17.5921	−	24.7212i	−0.642374	−	0.902689i
$751$	13.6645	−	23.6677i	0.498626	−	0.863645i	−0.501373	−	0.865231i	$-0.667172\pi$
$751$	13.6645	−	23.6677i	0.498626	−	0.863645i	0.999999	+	0.00158602i	$0.000504845\pi$
$752$	10.8364	−	18.7692i	0.395163	−	0.684442i
$753$	35.8837	−	3.41509i	1.30768	−	0.124453i
$754$	17.3071	+	29.9767i	0.630286	+	1.09169i
$755$	12.4777			0.454111
$756$	41.5730	−	12.1643i	1.51200	−	0.442412i
$757$	−9.83054			−0.357297			−0.178648	−	0.983913i	$-0.557172\pi$
$757$	−9.83054			−0.357297			−0.178648	+	0.983913i	$0.557172\pi$
$758$	−12.7308	−	22.0503i	−0.462402	−	0.800904i
$759$	24.4907	−	2.33080i	0.888956	−	0.0846027i
$760$	−4.85262	+	8.40498i	−0.176023	+	0.304881i
$761$	−22.0004	+	38.1058i	−0.797513	+	1.38133i	0.123718	+	0.992317i	$0.460518\pi$
$761$	−22.0004	+	38.1058i	−0.797513	+	1.38133i	−0.921231	+	0.389015i	$0.872815\pi$
$762$	−41.7950	−	58.7320i	−1.51407	−	2.12764i
$763$	27.2330	+	47.1690i	0.985902	+	1.70763i
$764$	−41.3858			−1.49728
$765$	15.7016	−	45.2746i	0.567693	−	1.63691i
$766$	68.8722			2.48845
$767$	−13.0676	−	22.6338i	−0.471845	−	0.817260i
$768$	−3.68064	+	8.05277i	−0.132814	+	0.290579i
$769$	−1.29567	+	2.24417i	−0.0467232	+	0.0809270i	−0.888441	−	0.458990i	$-0.848211\pi$
$769$	−1.29567	+	2.24417i	−0.0467232	+	0.0809270i	0.841718	+	0.539917i	$0.181545\pi$
$770$	37.2603	−	64.5367i	1.34277	−	2.32574i
$771$	12.6552	−	27.6879i	0.455765	−	0.997155i
$772$	21.6881	+	37.5650i	0.780573	+	1.35199i
$773$	15.9687			0.574355			0.287178	−	0.957877i	$-0.407283\pi$
$773$	15.9687			0.574355			0.287178	+	0.957877i	$0.407283\pi$
$774$	−17.9975	+	51.8947i	−0.646907	+	1.86532i
$775$	−2.59257			−0.0931280
$776$	6.77178	+	11.7291i	0.243093	+	0.421049i
$777$	15.5989	+	21.9202i	0.559609	+	0.786384i
$778$	−9.35897	+	16.2102i	−0.335535	+	0.581164i
$779$	−6.52828	+	11.3073i	−0.233900	+	0.405126i
$780$	−33.2914	+	3.16837i	−1.19202	+	0.113446i
$781$	−19.3107	−	33.4471i	−0.690992	−	1.19683i
$782$	45.6211			1.63141
$783$	20.8178	+	19.8872i	0.743966	+	0.710712i
$784$	−11.0453			−0.394474
$785$	6.54599	+	11.3380i	0.233636	+	0.404670i
$786$	−65.2127	+	6.20635i	−2.32606	+	0.221373i
$787$	5.16481	−	8.94571i	0.184106	−	0.318880i	−0.759169	−	0.650893i	$-0.774395\pi$
$787$	5.16481	−	8.94571i	0.184106	−	0.318880i	0.943275	+	0.332013i	$0.107728\pi$
$788$	−21.6065	+	37.4236i	−0.769700	+	1.33316i
$789$	−2.44549	−	3.43650i	−0.0870617	−	0.122343i
$790$	−4.11126	−	7.12090i	−0.146272	−	0.253350i
$791$	−28.0134			−0.996041
$792$	−8.53892	−	9.86698i	−0.303417	−	0.350608i
$793$	−0.526433			−0.0186942
$794$	20.1887	+	34.9679i	0.716471	+	1.24096i
$795$	16.0443	−	35.1028i	0.569031	−	1.24497i
$796$	1.81247	−	3.13929i	0.0642412	−	0.111269i
$797$	−5.80607	+	10.0564i	−0.205661	+	0.356216i	−0.950343	−	0.311204i	$-0.899268\pi$
$797$	−5.80607	+	10.0564i	−0.205661	+	0.356216i	0.744682	+	0.667420i	$0.232601\pi$
$798$	17.4861	−	38.2573i	0.619000	−	1.35429i
$799$	−24.2593	−	42.0184i	−0.858233	−	1.48650i
$800$	−14.6729			−0.518764
$801$	32.1385	−	6.17321i	1.13556	−	0.218119i
$802$	−45.1825			−1.59545
$803$	−13.0340	−	22.5755i	−0.459958	−	0.796671i
$804$	−2.51834	−	3.53887i	−0.0888151	−	0.124806i
$805$	15.3087	−	26.5154i	0.539560	−	0.934546i
$806$	4.38515	−	7.59531i	0.154460	−	0.267533i
$807$	−15.9366	+	1.51670i	−0.560993	+	0.0533902i
$808$	−5.92944	−	10.2701i	−0.208597	−	0.361300i
$809$	38.6443			1.35866			0.679331	−	0.733832i	$-0.262270\pi$
$809$	38.6443			1.35866			0.679331	+	0.733832i	$0.262270\pi$
$810$	−46.4409	+	18.5243i	−1.63177	+	0.650879i
$811$	−26.2348			−0.921227			−0.460613	−	0.887601i	$-0.652371\pi$
$811$	−26.2348			−0.921227			−0.460613	+	0.887601i	$0.652371\pi$
$812$	23.0941	+	40.0002i	0.810446	+	1.40373i
$813$	−34.6441	+	3.29711i	−1.21502	+	0.115635i
$814$	20.0159	−	34.6686i	0.701557	−	1.21513i
$815$	21.6689	−	37.5316i	0.759027	−	1.31467i
$816$	16.7168	+	23.4911i	0.585206	+	0.822354i
$817$	14.8367	+	25.6979i	0.519071	+	0.899057i
$818$	−1.19442			−0.0417619
$819$	28.8176	−	5.53533i	1.00697	−	0.193420i
$820$	24.8980			0.869477
$821$	13.0971	+	22.6849i	0.457092	+	0.791707i	0.998806	−	0.0488562i	$-0.0155576\pi$
$821$	13.0971	+	22.6849i	0.457092	+	0.791707i	−0.541714	+	0.840563i	$0.682224\pi$
$822$	−24.5218	+	53.6505i	−0.855296	+	1.87128i
$823$	0.138367	−	0.239658i	0.00482315	−	0.00835395i	−0.863604	−	0.504171i	$-0.831798\pi$
$823$	0.138367	−	0.239658i	0.00482315	−	0.00835395i	0.868427	+	0.495817i	$0.165131\pi$
$824$	0.655199	−	1.13484i	0.0228249	−	0.0395339i
$825$	−5.36552	+	11.7391i	−0.186804	+	0.408702i
$826$	−31.3440	−	54.2895i	−1.09060	−	1.88897i
$827$	10.2054			0.354878			0.177439	−	0.984132i	$-0.443219\pi$
$827$	10.2054			0.354878			0.177439	+	0.984132i	$0.443219\pi$
$828$	−17.3286	−	20.0237i	−0.602211	−	0.695873i
$829$	15.6357			0.543050			0.271525	−	0.962431i	$-0.412472\pi$
$829$	15.6357			0.543050			0.271525	+	0.962431i	$0.412472\pi$
$830$	−1.63826	−	2.83755i	−0.0568647	−	0.0984926i
$831$	12.9302	+	18.1700i	0.448544	+	0.630311i
$832$	16.7945	−	29.0888i	0.582243	−	1.00847i
$833$	−12.3635	+	21.4142i	−0.428369	+	0.741956i
$834$	19.1822	−	1.82559i	0.664226	−	0.0632149i
$835$	−17.0836	−	29.5897i	−0.591203	−	1.02399i
$836$	−34.8194			−1.20425
$837$	1.72648	−	7.08744i	0.0596759	−	0.244978i
$838$	37.0210			1.27887
$839$	−4.59169	−	7.95304i	−0.158523	−	0.274569i	0.775813	−	0.630962i	$-0.217340\pi$
$839$	−4.59169	−	7.95304i	−0.158523	−	0.274569i	−0.934336	+	0.356393i	$0.884006\pi$
$840$	−16.1667	+	1.53860i	−0.557803	+	0.0530866i
$841$	−0.849647	+	1.47163i	−0.0292982	+	0.0507459i
$842$	−17.1107	+	29.6366i	−0.589674	+	1.02135i
$843$	16.1938	+	22.7562i	0.557745	+	0.783765i
$844$	−27.5175	−	47.6617i	−0.947190	−	1.64058i
$845$	11.3611			0.390833
$846$	−16.5875	+	47.8289i	−0.570289	+	1.64439i
$847$	17.5613			0.603413
$848$	11.6109	+	20.1107i	0.398720	+	0.690604i
$849$	−15.2676	+	33.4035i	−0.523982	+	1.14641i
$850$	−11.9676	+	20.7285i	−0.410485	+	0.710982i
$851$	8.22370	−	14.2439i	0.281905	−	0.488273i
$852$	−17.2815	+	37.8097i	−0.592054	+	1.29534i
$853$	16.3920	+	28.3918i	0.561253	+	0.972118i	0.997387	+	0.0722369i	$0.0230138\pi$
$853$	16.3920	+	28.3918i	0.561253	+	0.972118i	−0.436135	+	0.899881i	$0.643653\pi$
$854$	−1.26270			−0.0432088
$855$	−8.85056	+	25.5200i	−0.302683	+	0.872767i
$856$	−13.7236			−0.469063
$857$	−24.4436	−	42.3376i	−0.834979	−	1.44623i	−0.894048	−	0.447972i	$-0.852146\pi$
$857$	−24.4436	−	42.3376i	−0.834979	−	1.44623i	0.0590686	−	0.998254i	$-0.481187\pi$
$858$	−25.3159	−	35.5749i	−0.864270	−	1.21451i
$859$	−7.57328	+	13.1173i	−0.258397	+	0.447556i	−0.965813	−	0.259241i	$-0.916528\pi$
$859$	−7.57328	+	13.1173i	−0.258397	+	0.447556i	0.707416	+	0.706798i	$0.249861\pi$
$860$	28.2927	−	49.0043i	0.964772	−	1.67103i
$861$	−21.7492	+	2.06989i	−0.741210	+	0.0705416i
$862$	25.2262	+	43.6930i	0.859207	+	1.48819i
$863$	−24.7830			−0.843623			−0.421811	−	0.906684i	$-0.638606\pi$
$863$	−24.7830			−0.843623			−0.421811	+	0.906684i	$0.638606\pi$
$864$	9.77115	−	40.1119i	0.332421	−	1.36464i
$865$	−27.7082			−0.942106
$866$	1.72486	+	2.98754i	0.0586130	+	0.101521i
$867$	34.9432	−	3.32558i	1.18673	−	0.112942i
$868$	5.85144	−	10.1350i	0.198611	−	0.344004i
$869$	2.98621	−	5.17226i	0.101300	−	0.175457i
$870$	−30.9117	−	43.4383i	−1.04800	−	1.47270i
$871$	−1.47123	−	2.54825i	−0.0498509	−	0.0863443i
$872$	−17.6611			−0.598080
$873$	24.6663	+	28.5026i	0.834827	+	0.964668i
$874$	−25.7153			−0.869834
$875$	−13.7140	−	23.7533i	−0.463618	−	0.803010i
$876$	−11.6643	+	25.5200i	−0.394101	+	0.862242i
$877$	29.1426	−	50.4765i	0.984076	−	1.70447i	0.338105	−	0.941108i	$-0.390214\pi$
$877$	29.1426	−	50.4765i	0.984076	−	1.70447i	0.645971	−	0.763362i	$-0.276453\pi$
$878$	−4.61821	+	7.99897i	−0.155857	+	0.269952i
$879$	1.68418	−	3.68476i	0.0568059	−	0.124284i
$880$	−14.3958	−	24.9343i	−0.485283	−	0.840536i
$881$	−5.65664			−0.190577			−0.0952884	−	0.995450i	$-0.530377\pi$
$881$	−5.65664			−0.190577			−0.0952884	+	0.995450i	$0.530377\pi$
$882$	25.3365	−	4.86668i	0.853126	−	0.163870i
$883$	0.956620			0.0321928			0.0160964	−	0.999870i	$-0.494876\pi$
$883$	0.956620			0.0321928			0.0160964	+	0.999870i	$0.494876\pi$
$884$	−22.5222	−	39.0097i	−0.757505	−	1.31204i
$885$	23.3398	+	32.7979i	0.784557	+	1.10249i
$886$	11.5474	−	20.0007i	0.387943	−	0.671937i
$887$	−13.4903	+	23.3660i	−0.452961	+	0.784552i	−0.998568	−	0.0534891i	$-0.982966\pi$
$887$	−13.4903	+	23.3660i	−0.452961	+	0.784552i	0.545607	+	0.838041i	$0.316299\pi$
$888$	−8.68460	+	0.826521i	−0.291436	+	0.0277362i
$889$	−32.5814	−	56.4327i	−1.09275	−	1.89269i
$890$	−60.6025			−2.03140
$891$	−28.5186	−	22.4854i	−0.955410	−	0.753291i
$892$	−63.5039			−2.12627
$893$	13.6743	+	23.6846i	0.457593	+	0.792575i
$894$	78.7711	−	7.49672i	2.63450	−	0.250728i
$895$	30.2759	−	52.4393i	1.01201	−	1.75285i
$896$	13.8712	−	24.0256i	0.463403	−	0.802637i
$897$	−10.4012	−	14.6162i	−0.347287	−	0.488021i
$898$	3.96201	+	6.86241i	0.132214	+	0.229002i
$899$	7.77839			0.259424
$900$	13.6438	−	2.62072i	0.454793	−	0.0873573i
$901$	51.9864			1.73192
$902$	16.2540	+	28.1527i	0.541198	+	0.937383i
$903$	−20.6405	+	45.1589i	−0.686874	+	1.50279i
$904$	4.54179	−	7.86661i	0.151058	−	0.261639i
$905$	−17.4946	+	30.3016i	−0.581541	+	1.00726i
$906$	7.28976	−	15.9491i	0.242186	−	0.529872i
$907$	9.03967	+	15.6572i	0.300157	+	0.519888i	0.976171	−	0.217001i	$-0.0696275\pi$
$907$	9.03967	+	15.6572i	0.300157	+	0.519888i	−0.676014	+	0.736889i	$0.736294\pi$
$908$	36.3310			1.20569
$909$	−21.5980	−	24.9572i	−0.716362	−	0.827778i
$910$	−54.3405			−1.80137
$911$	1.65708	+	2.87014i	0.0549015	+	0.0950921i	0.892170	−	0.451700i	$-0.149182\pi$
$911$	1.65708	+	2.87014i	0.0549015	+	0.0950921i	−0.837269	+	0.546792i	$0.815849\pi$
$912$	−9.42281	−	13.2413i	−0.312020	−	0.438463i
$913$	1.18995	−	2.06105i	0.0393815	−	0.0682107i
$914$	33.7615	−	58.4766i	1.11673	−	1.93424i
$915$	0.807190	−	0.0768210i	0.0266849	−	0.00253962i
$916$	−20.8441	−	36.1030i	−0.688707	−	1.19288i
$917$	−59.2167			−1.95551
$918$	−48.6969	−	46.5202i	−1.60724	−	1.53540i
$919$	3.31353			0.109303			0.0546516	−	0.998505i	$-0.482595\pi$
$919$	3.31353			0.109303			0.0546516	+	0.998505i	$0.482595\pi$
$920$	4.96397	+	8.59785i	0.163657	+	0.283463i
$921$	35.5383	−	3.38221i	1.17103	−	0.111448i
$922$	20.9349	−	36.2603i	0.689454	−	1.19417i
$923$	−14.0814	+	24.3897i	−0.463495	+	0.802796i
$924$	−33.7809	−	47.4703i	−1.11131	−	1.56166i
$925$	4.31458	+	7.47308i	0.141863	+	0.245713i
$926$	−50.7532			−1.66785
$927$	1.19500	−	3.44571i	0.0392489	−	0.113172i
$928$	44.0224			1.44511
$929$	−3.70385	−	6.41526i	−0.121520	−	0.210478i	0.798848	−	0.601534i	$-0.205443\pi$
$929$	−3.70385	−	6.41526i	−0.121520	−	0.210478i	−0.920367	+	0.391056i	$0.872110\pi$
$930$	−5.61548	+	12.2859i	−0.184139	+	0.402872i
$931$	6.96894	−	12.0706i	0.228398	−	0.395597i
$932$	37.6216	−	65.1625i	1.23234	−	2.13447i
$933$	−4.39867	+	9.62372i	−0.144006	+	0.315066i
$934$	6.49493	+	11.2495i	0.212521	+	0.368096i
$935$	−64.4556			−2.10792
$936$	−3.11777	+	8.98989i	−0.101907	+	0.293844i
$937$	18.6633			0.609704			0.304852	−	0.952400i	$-0.401393\pi$
$937$	18.6633			0.609704			0.304852	+	0.952400i	$0.401393\pi$
$938$	−3.52890	−	6.11224i	−0.115223	−	0.199572i
$939$	−13.4898	−	18.9565i	−0.440224	−	0.618621i
$940$	26.0761	−	45.1651i	0.850507	−	1.47312i
$941$	−15.4807	+	26.8133i	−0.504655	+	0.874088i	0.495330	+	0.868705i	$0.335047\pi$
$941$	−15.4807	+	26.8133i	−0.504655	+	0.874088i	−0.999986	+	0.00538367i	$0.998286\pi$
$942$	18.3165	−	1.74320i	0.596785	−	0.0567966i
$943$	6.67808	+	11.5668i	0.217468	+	0.376666i
$944$	−24.2201			−0.788296
$945$	−43.3789	+	12.6927i	−1.41111	+	0.412894i
$946$	73.8803			2.40206
$947$	16.8660	+	29.2128i	0.548072	+	0.949289i	0.998407	+	0.0564290i	$0.0179715\pi$
$947$	16.8660	+	29.2128i	0.548072	+	0.949289i	−0.450334	+	0.892860i	$0.648695\pi$
$948$	−6.39975	+	0.609070i	−0.207854	+	0.0197817i
$949$	−9.50438	+	16.4621i	−0.308525	+	0.534381i
$950$	6.74580	−	11.6841i	0.218863	−	0.379082i
$951$	26.0090	+	36.5488i	0.843399	+	1.18518i
$952$	−10.9370	−	18.9435i	−0.354472	−	0.613963i
$953$	−29.3688			−0.951347			−0.475674	−	0.879622i	$-0.657796\pi$
$953$	−29.3688			−0.951347			−0.475674	+	0.879622i	$0.657796\pi$
$954$	−35.4951	−	41.0156i	−1.14920	−	1.32793i
$955$	43.1835			1.39738
$956$	−9.37065	−	16.2304i	−0.303069	−	0.524930i
$957$	16.0980	−	35.2203i	0.520373	−	1.13851i
$958$	−45.3182	+	78.4935i	−1.46417	+	2.53601i
$959$	−26.6621	+	46.1802i	−0.860966	+	1.49124i
$960$	−21.5064	+	47.0533i	−0.694116	+	1.51864i
$961$	14.5146	+	25.1400i	0.468212	+	0.810967i
$962$	−29.1913			−0.941164
$963$	−37.5093	+	7.20484i	−1.20872	+	0.232173i
$964$	−5.09615			−0.164136
$965$	−22.6302	−	39.1967i	−0.728493	−	1.26179i
$966$	−24.9484	−	35.0585i	−0.802702	−	1.12799i
$967$	−26.7580	+	46.3461i	−0.860478	+	1.49039i	0.0109905	+	0.999940i	$0.496502\pi$
$967$	−26.7580	+	46.3461i	−0.860478	+	1.49039i	−0.871468	+	0.490452i	$0.836832\pi$
$968$	−2.84720	+	4.93150i	−0.0915125	+	0.158504i
$969$	−36.2191	+	3.44700i	−1.16352	+	0.110734i
$970$	−34.9011	−	60.4504i	−1.12061	−	1.94095i
$971$	−28.0081			−0.898824			−0.449412	−	0.893325i	$-0.648366\pi$
$971$	−28.0081			−0.898824			−0.449412	+	0.893325i	$0.648366\pi$
$972$	−1.92146	+	39.0439i	−0.0616310	+	1.25233i
$973$	17.4185			0.558412
$974$	11.0301	+	19.1047i	0.353427	+	0.612153i
$975$	9.36958	−	0.891712i	0.300067	−	0.0285576i
$976$	−0.243928	+	0.422496i	−0.00780795	+	0.0135238i
$977$	8.61719	−	14.9254i	0.275688	−	0.477506i	−0.694620	−	0.719377i	$-0.744428\pi$
$977$	8.61719	−	14.9254i	0.275688	−	0.477506i	0.970309	+	0.241870i	$0.0777609\pi$
$978$	−35.3135	−	49.6239i	−1.12920	−	1.58680i
$979$	−22.0093	−	38.1212i	−0.703420	−	1.21836i
$980$	−26.5787			−0.849025
$981$	−48.2712	+	9.27200i	−1.54118	+	0.296032i
$982$	−49.6616			−1.58476
$983$	15.8177	+	27.3970i	0.504506	+	0.873830i	0.999986	+	0.00521084i	$0.00165867\pi$
$983$	15.8177	+	27.3970i	0.504506	+	0.873830i	−0.495480	+	0.868619i	$0.665008\pi$
$984$	2.94492	−	6.44311i	0.0938806	−	0.205399i
$985$	22.5450	−	39.0492i	0.718345	−	1.24421i
$986$	35.9059	−	62.1908i	1.14348	−	1.98056i
$987$	−19.0234	+	41.6208i	−0.605523	+	1.32481i
$988$	12.6952	+	21.9887i	0.403887	+	0.699552i
$989$	30.3543			0.965211
$990$	44.0087	+	50.8534i	1.39869	+	1.61623i
$991$	40.3201			1.28081			0.640405	−	0.768038i	$-0.278767\pi$
$991$	40.3201			1.28081			0.640405	+	0.768038i	$0.278767\pi$
$992$	−5.57705	−	9.65974i	−0.177072	−	0.306697i
$993$	2.38907	+	3.35722i	0.0758150	+	0.106538i
$994$	−33.7756	+	58.5011i	−1.07130	+	1.85554i
$995$	−1.89120	+	3.27565i	−0.0599550	+	0.103845i
$996$	−2.55018	+	0.242703i	−0.0808055	+	0.00769034i
$997$	−14.8442	−	25.7109i	−0.470121	−	0.814273i	0.529295	−	0.848438i	$-0.322456\pi$
$997$	−14.8442	−	25.7109i	−0.470121	−	0.814273i	−0.999416	+	0.0341644i	$0.989123\pi$
$998$	56.5369			1.78964
$999$	−23.3028	+	6.81842i	−0.737267	+	0.215725i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	603.2.e.a.202.7	✓	66
9.4	even	3		5427.2.a.p.1.27		33
9.5	odd	6		5427.2.a.o.1.7		33
9.7	even	3	inner	603.2.e.a.403.7	yes	66

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
603.2.e.a.202.7	✓	66	1.1	even	1	trivial
603.2.e.a.403.7	yes	66	9.7	even	3	inner
5427.2.a.o.1.7		33	9.5	odd	6
5427.2.a.p.1.27		33	9.4	even	3

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)

\(f(q)\)	\(=\)	\(q+(-1.06157 - 1.83869i) q^{2} +(1.72426 - 0.164099i) q^{3} +(-1.25385 + 2.17173i) q^{4} +(1.30831 - 2.26607i) q^{5} +(-2.13214 - 2.99617i) q^{6} +(-1.66212 - 2.87888i) q^{7} +1.07791 q^{8} +(2.94614 - 0.565900i) q^{9} +O(q^{10})\)	\(q+(-1.06157 - 1.83869i) q^{2} +(1.72426 - 0.164099i) q^{3} +(-1.25385 + 2.17173i) q^{4} +(1.30831 - 2.26607i) q^{5} +(-2.13214 - 2.99617i) q^{6} +(-1.66212 - 2.87888i) q^{7} +1.07791 q^{8} +(2.94614 - 0.565900i) q^{9} -5.55545 q^{10} +(-2.01760 - 3.49458i) q^{11} +(-1.80558 + 3.95038i) q^{12} +(-1.47123 + 2.54825i) q^{13} +(-3.52890 + 6.11224i) q^{14} +(1.88401 - 4.12198i) q^{15} +(1.36342 + 2.36152i) q^{16} +6.10456 q^{17} +(-4.16804 - 4.81630i) q^{18} -3.44097 q^{19} +(3.28086 + 5.68261i) q^{20} +(-3.33835 - 4.69118i) q^{21} +(-4.28363 + 7.41947i) q^{22} +(-1.75996 + 3.04835i) q^{23} +(1.85860 - 0.176885i) q^{24} +(-0.923370 - 1.59932i) q^{25} +6.24726 q^{26} +(4.98705 - 1.45922i) q^{27} +8.33619 q^{28} +(2.77035 + 4.79838i) q^{29} +(-9.57904 + 0.911646i) q^{30} +(0.701933 - 1.21578i) q^{31} +(3.97264 - 6.88082i) q^{32} +(-4.05232 - 5.69448i) q^{33} +(-6.48040 - 11.2244i) q^{34} -8.69830 q^{35} +(-2.46504 + 7.10778i) q^{36} -4.67265 q^{37} +(3.65282 + 6.32687i) q^{38} +(-2.11862 + 4.63528i) q^{39} +(1.41025 - 2.44262i) q^{40} +(1.89722 - 3.28608i) q^{41} +(-5.08173 + 11.1182i) q^{42} +(-4.31178 - 7.46822i) q^{43} +10.1191 q^{44} +(2.57211 - 7.41653i) q^{45} +7.47328 q^{46} +(-3.97397 - 6.88312i) q^{47} +(2.73842 + 3.84813i) q^{48} +(-2.02528 + 3.50790i) q^{49} +(-1.96044 + 3.39558i) q^{50} +(10.5258 - 1.00175i) q^{51} +(-3.68941 - 6.39025i) q^{52} +8.51600 q^{53} +(-7.97714 - 7.62057i) q^{54} -10.5586 q^{55} +(-1.79162 - 3.10318i) q^{56} +(-5.93312 + 0.564661i) q^{57} +(5.88182 - 10.1876i) q^{58} +(-4.44105 + 7.69212i) q^{59} +(6.58956 + 9.25991i) q^{60} +(0.0894543 + 0.154939i) q^{61} -2.98059 q^{62} +(-6.52600 - 7.54099i) q^{63} -11.4152 q^{64} +(3.84967 + 6.66783i) q^{65} +(-6.16856 + 13.4960i) q^{66} +(-0.500000 + 0.866025i) q^{67} +(-7.65420 + 13.2575i) q^{68} +(-2.53440 + 5.54495i) q^{69} +(9.23383 + 15.9935i) q^{70} +9.57114 q^{71} +(3.17569 - 0.609991i) q^{72} +6.46014 q^{73} +(4.96033 + 8.59155i) q^{74} +(-1.85458 - 2.60612i) q^{75} +(4.31446 - 7.47286i) q^{76} +(-6.70698 + 11.6168i) q^{77} +(10.7719 - 1.02517i) q^{78} +(0.740040 + 1.28179i) q^{79} +7.13514 q^{80} +(8.35951 - 3.33444i) q^{81} -8.05611 q^{82} +(0.294892 + 0.510768i) q^{83} +(14.3738 - 1.36796i) q^{84} +(7.98668 - 13.8333i) q^{85} +(-9.15449 + 15.8560i) q^{86} +(5.56421 + 7.81904i) q^{87} +(-2.17479 - 3.76685i) q^{88} +10.9087 q^{89} +(-16.3672 + 3.14383i) q^{90} +9.78147 q^{91} +(-4.41346 - 7.64434i) q^{92} +(1.01080 - 2.21151i) q^{93} +(-8.43727 + 14.6138i) q^{94} +(-4.50187 + 7.79746i) q^{95} +(5.72073 - 12.5162i) q^{96} +(6.28231 + 10.8813i) q^{97} +8.59990 q^{98} +(-7.92171 - 9.15378i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 66 q - 7 q^{2} - 33 q^{4} - 18 q^{5} - 3 q^{6} + 36 q^{8} + 4 q^{9}+O(q^{10}) \) 66 * q - 7 * q^2 - 33 * q^4 - 18 * q^5 - 3 * q^6 + 36 * q^8 + 4 * q^9	\( 66 q - 7 q^{2} - 33 q^{4} - 18 q^{5} - 3 q^{6} + 36 q^{8} + 4 q^{9} - 8 q^{11} + q^{12} - 7 q^{14} + 3 q^{15} - 33 q^{16} + 66 q^{17} - 11 q^{18} - 29 q^{20} + q^{21} - 17 q^{23} + 47 q^{24} - 33 q^{25} + 60 q^{26} - 21 q^{27} - 54 q^{28} - 39 q^{29} - 34 q^{30} - 53 q^{32} + 8 q^{33} - 6 q^{34} + 62 q^{35} - 35 q^{36} + 24 q^{37} - 30 q^{38} - 5 q^{39} - 6 q^{40} - 38 q^{41} + 65 q^{42} + 22 q^{44} - 9 q^{45} + 12 q^{46} - 58 q^{47} - 59 q^{48} - 33 q^{49} - 31 q^{50} + 26 q^{51} + 9 q^{52} + 128 q^{53} - 22 q^{54} - 36 q^{55} - 32 q^{56} - 34 q^{57} + 3 q^{58} - 39 q^{59} + 127 q^{60} + 138 q^{62} - 35 q^{63} + 132 q^{64} - 28 q^{65} - 94 q^{66} - 33 q^{67} - 62 q^{68} + 60 q^{69} - 6 q^{70} + 42 q^{71} - 34 q^{72} - 25 q^{74} + 55 q^{75} - 6 q^{76} - 91 q^{77} + 125 q^{78} + 116 q^{80} - 90 q^{82} - 61 q^{83} - 26 q^{84} + 15 q^{85} - 47 q^{86} - q^{87} - 12 q^{88} + 110 q^{89} - 91 q^{90} + 36 q^{91} - 41 q^{92} - 11 q^{93} - 21 q^{94} - 6 q^{95} + 80 q^{96} - 12 q^{97} + 80 q^{98} - 38 q^{99}+O(q^{100}) \) 66 * q - 7 * q^2 - 33 * q^4 - 18 * q^5 - 3 * q^6 + 36 * q^8 + 4 * q^9 - 8 * q^11 + q^12 - 7 * q^14 + 3 * q^15 - 33 * q^16 + 66 * q^17 - 11 * q^18 - 29 * q^20 + q^21 - 17 * q^23 + 47 * q^24 - 33 * q^25 + 60 * q^26 - 21 * q^27 - 54 * q^28 - 39 * q^29 - 34 * q^30 - 53 * q^32 + 8 * q^33 - 6 * q^34 + 62 * q^35 - 35 * q^36 + 24 * q^37 - 30 * q^38 - 5 * q^39 - 6 * q^40 - 38 * q^41 + 65 * q^42 + 22 * q^44 - 9 * q^45 + 12 * q^46 - 58 * q^47 - 59 * q^48 - 33 * q^49 - 31 * q^50 + 26 * q^51 + 9 * q^52 + 128 * q^53 - 22 * q^54 - 36 * q^55 - 32 * q^56 - 34 * q^57 + 3 * q^58 - 39 * q^59 + 127 * q^60 + 138 * q^62 - 35 * q^63 + 132 * q^64 - 28 * q^65 - 94 * q^66 - 33 * q^67 - 62 * q^68 + 60 * q^69 - 6 * q^70 + 42 * q^71 - 34 * q^72 - 25 * q^74 + 55 * q^75 - 6 * q^76 - 91 * q^77 + 125 * q^78 + 116 * q^80 - 90 * q^82 - 61 * q^83 - 26 * q^84 + 15 * q^85 - 47 * q^86 - q^87 - 12 * q^88 + 110 * q^89 - 91 * q^90 + 36 * q^91 - 41 * q^92 - 11 * q^93 - 21 * q^94 - 6 * q^95 + 80 * q^96 - 12 * q^97 + 80 * q^98 - 38 * q^99

Introduction

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