LMFDB - Embedded newform 603.2.e.a.202.1

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			202.1
Character	$\chi$	$=$	603.202
Dual form			603.2.e.a.403.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.38941 - 2.40652i) q^{2} +(1.42799 - 0.980231i) q^{3} +(-2.86090 + 4.95522i) q^{4} +(1.47194 - 2.54948i) q^{5} +(-4.34300 - 2.07454i) q^{6} +(2.08373 + 3.60913i) q^{7} +10.3422 q^{8} +(1.07829 - 2.79951i) q^{9} +O(q^{10})$	\(q+(-1.38941 - 2.40652i) q^{2} +(1.42799 - 0.980231i) q^{3} +(-2.86090 + 4.95522i) q^{4} +(1.47194 - 2.54948i) q^{5} +(-4.34300 - 2.07454i) q^{6} +(2.08373 + 3.60913i) q^{7} +10.3422 q^{8} +(1.07829 - 2.79951i) q^{9} -8.18051 q^{10} +(1.31376 + 2.27550i) q^{11} +(0.771937 + 9.88034i) q^{12} +(-0.699483 + 1.21154i) q^{13} +(5.79031 - 10.0291i) q^{14} +(-0.397164 - 5.08347i) q^{15} +(-8.64769 - 14.9782i) q^{16} +1.96634 q^{17} +(-8.23528 + 1.29472i) q^{18} +7.27250 q^{19} +(8.42216 + 14.5876i) q^{20} +(6.51333 + 3.11125i) q^{21} +(3.65070 - 6.32320i) q^{22} +(-0.710637 + 1.23086i) q^{23} +(14.7685 - 10.1377i) q^{24} +(-1.83323 - 3.17525i) q^{25} +3.88746 q^{26} +(-1.20438 - 5.05465i) q^{27} -23.8454 q^{28} +(-3.86975 - 6.70261i) q^{29} +(-11.6817 + 8.01879i) q^{30} +(-0.585955 + 1.01490i) q^{31} +(-13.6881 + 23.7085i) q^{32} +(4.10656 + 1.96160i) q^{33} +(-2.73205 - 4.73205i) q^{34} +12.2685 q^{35} +(10.7873 + 13.3523i) q^{36} -0.804167 q^{37} +(-10.1045 - 17.5014i) q^{38} +(0.188737 + 2.41572i) q^{39} +(15.2231 - 26.3672i) q^{40} +(-1.45178 + 2.51455i) q^{41} +(-1.56236 - 19.9973i) q^{42} +(2.32576 + 4.02834i) q^{43} -15.0342 q^{44} +(-5.55012 - 6.86981i) q^{45} +3.94945 q^{46} +(-5.44134 - 9.42468i) q^{47} +(-27.0309 - 12.9120i) q^{48} +(-5.18389 + 8.97877i) q^{49} +(-5.09420 + 8.82342i) q^{50} +(2.80791 - 1.92747i) q^{51} +(-4.00230 - 6.93219i) q^{52} -1.65345 q^{53} +(-10.4907 + 9.92133i) q^{54} +7.73514 q^{55} +(21.5504 + 37.3263i) q^{56} +(10.3850 - 7.12873i) q^{57} +(-10.7533 + 18.6253i) q^{58} +(-6.16069 + 10.6706i) q^{59} +(26.3260 + 12.5753i) q^{60} +(-0.275741 - 0.477598i) q^{61} +3.25652 q^{62} +(12.3507 - 1.94174i) q^{63} +41.4828 q^{64} +(2.05920 + 3.56663i) q^{65} +(-0.985043 - 12.6080i) q^{66} +(-0.500000 + 0.866025i) q^{67} +(-5.62551 + 9.74366i) q^{68} +(0.191746 + 2.45424i) q^{69} +(-17.0460 - 29.5245i) q^{70} -3.15744 q^{71} +(11.1519 - 28.9531i) q^{72} -11.2427 q^{73} +(1.11731 + 1.93525i) q^{74} +(-5.73031 - 2.73722i) q^{75} +(-20.8059 + 36.0369i) q^{76} +(-5.47507 + 9.48309i) q^{77} +(5.55125 - 3.81061i) q^{78} +(0.423586 + 0.733672i) q^{79} -50.9156 q^{80} +(-6.67456 - 6.03740i) q^{81} +8.06842 q^{82} +(3.86341 + 6.69162i) q^{83} +(-34.0509 + 23.3740i) q^{84} +(2.89434 - 5.01315i) q^{85} +(6.46286 - 11.1940i) q^{86} +(-12.0961 - 5.77799i) q^{87} +(13.5872 + 23.5337i) q^{88} +0.702750 q^{89} +(-8.82099 + 22.9014i) q^{90} -5.83014 q^{91} +(-4.06612 - 7.04273i) q^{92} +(0.158104 + 2.02364i) q^{93} +(-15.1205 + 26.1894i) q^{94} +(10.7047 - 18.5411i) q^{95} +(3.69337 + 47.2730i) q^{96} +(-9.12770 - 15.8096i) q^{97} +28.8101 q^{98} +(7.78693 - 1.22424i) 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 $

$2$	−1.38941	−	2.40652i	−0.982459	−	1.70167i	−0.652726	−	0.757594i	$-0.726375\pi$
$2$	−1.38941	−	2.40652i	−0.982459	−	1.70167i	−0.329732	−	0.944075i	$-0.606958\pi$
$3$	1.42799	−	0.980231i	0.824449	−	0.565937i
$3$	1.42799	−	0.980231i	0.824449	−	0.565937i
$4$	−2.86090	+	4.95522i	−1.43045	+	2.47761i
$5$	1.47194	−	2.54948i	0.658273	−	1.14016i	−0.322790	−	0.946471i	$-0.604621\pi$
$5$	1.47194	−	2.54948i	0.658273	−	1.14016i	0.981063	−	0.193691i	$-0.0620460\pi$
$6$	−4.34300	−	2.07454i	−1.77302	−	0.846929i
$7$	2.08373	+	3.60913i	0.787577	+	1.36412i	0.927447	+	0.373954i	$0.121998\pi$
$7$	2.08373	+	3.60913i	0.787577	+	1.36412i	−0.139870	+	0.990170i	$0.544668\pi$
$8$	10.3422			3.65651
$9$	1.07829	−	2.79951i	0.359431	−	0.933172i
$10$	−8.18051			−2.58690
$11$	1.31376	+	2.27550i	0.396115	+	0.686090i	0.993243	−	0.116055i	$-0.0370250\pi$
$11$	1.31376	+	2.27550i	0.396115	+	0.686090i	−0.597128	+	0.802146i	$0.703692\pi$
$12$	0.771937	+	9.88034i	0.222839	+	2.85221i
$13$	−0.699483	+	1.21154i	−0.194002	+	0.336021i	−0.946573	−	0.322490i	$-0.895480\pi$
$13$	−0.699483	+	1.21154i	−0.194002	+	0.336021i	0.752571	+	0.658511i	$0.228813\pi$
$14$	5.79031	−	10.0291i	1.54752	−	2.68039i
$15$	−0.397164	−	5.08347i	−0.102547	−	1.31255i
$16$	−8.64769	−	14.9782i	−2.16192	−	3.74456i
$17$	1.96634			0.476908			0.238454	−	0.971154i	$-0.423359\pi$
$17$	1.96634			0.476908			0.238454	+	0.971154i	$0.423359\pi$
$18$	−8.23528	+	1.29472i	−1.94107	+	0.305170i
$19$	7.27250			1.66843			0.834213	−	0.551443i	$-0.185922\pi$
$19$	7.27250			1.66843			0.834213	+	0.551443i	$0.185922\pi$
$20$	8.42216	+	14.5876i	1.88325	+	3.26189i
$21$	6.51333	+	3.11125i	1.42132	+	0.678931i
$22$	3.65070	−	6.32320i	0.778332	−	1.34811i
$23$	−0.710637	+	1.23086i	−0.148178	+	0.256652i	−0.930554	−	0.366154i	$-0.880674\pi$
$23$	−0.710637	+	1.23086i	−0.148178	+	0.256652i	0.782376	+	0.622806i	$0.214008\pi$
$24$	14.7685	−	10.1377i	3.01461	−	2.06936i
$25$	−1.83323	−	3.17525i	−0.366646	−	0.635050i
$26$	3.88746			0.762394
$27$	−1.20438	−	5.05465i	−0.231783	−	0.972767i
$28$	−23.8454			−4.50636
$29$	−3.86975	−	6.70261i	−0.718595	−	1.24464i	−0.961556	−	0.274608i	$-0.911452\pi$
$29$	−3.86975	−	6.70261i	−0.718595	−	1.24464i	0.242961	−	0.970036i	$-0.421881\pi$
$30$	−11.6817	+	8.01879i	−2.13277	+	1.46402i
$31$	−0.585955	+	1.01490i	−0.105241	+	0.182282i	−0.913836	−	0.406082i	$-0.866895\pi$
$31$	−0.585955	+	1.01490i	−0.105241	+	0.182282i	0.808596	+	0.588364i	$0.200228\pi$
$32$	−13.6881	+	23.7085i	−2.41974	+	4.19112i
$33$	4.10656	+	1.96160i	0.714860	+	0.341471i
$34$	−2.73205	−	4.73205i	−0.468542	−	0.811539i
$35$	12.2685			2.07376
$36$	10.7873	+	13.3523i	1.79789	+	2.22539i
$37$	−0.804167			−0.132204			−0.0661021	−	0.997813i	$-0.521056\pi$
$37$	−0.804167			−0.132204			−0.0661021	+	0.997813i	$0.521056\pi$
$38$	−10.1045	−	17.5014i	−1.63916	−	2.83911i
$39$	0.188737	+	2.41572i	0.0302220	+	0.386824i
$40$	15.2231	−	26.3672i	2.40698	−	4.16902i
$41$	−1.45178	+	2.51455i	−0.226729	+	0.392707i	−0.956837	−	0.290626i	$-0.906137\pi$
$41$	−1.45178	+	2.51455i	−0.226729	+	0.392707i	0.730108	+	0.683332i	$0.239470\pi$
$42$	−1.56236	−	19.9973i	−0.241077	−	3.08565i
$43$	2.32576	+	4.02834i	0.354676	+	0.614316i	0.987062	−	0.160337i	$-0.0512580\pi$
$43$	2.32576	+	4.02834i	0.354676	+	0.614316i	−0.632387	+	0.774653i	$0.717925\pi$
$44$	−15.0342			−2.26649
$45$	−5.55012	−	6.86981i	−0.827363	−	1.02409i
$46$	3.94945			0.582315
$47$	−5.44134	−	9.42468i	−0.793701	−	1.37473i	−0.923661	−	0.383211i	$-0.874818\pi$
$47$	−5.44134	−	9.42468i	−0.793701	−	1.37473i	0.129960	−	0.991519i	$-0.458515\pi$
$48$	−27.0309	−	12.9120i	−3.90158	−	1.86369i
$49$	−5.18389	+	8.97877i	−0.740556	+	1.28268i
$50$	−5.09420	+	8.82342i	−0.720429	+	1.24782i
$51$	2.80791	−	1.92747i	0.393186	−	0.269900i
$52$	−4.00230	−	6.93219i	−0.555019	−	0.961322i
$53$	−1.65345			−0.227119			−0.113560	−	0.993531i	$-0.536225\pi$
$53$	−1.65345			−0.227119			−0.113560	+	0.993531i	$0.536225\pi$
$54$	−10.4907	+	9.92133i	−1.42761	+	1.35012i
$55$	7.73514			1.04301
$56$	21.5504	+	37.3263i	2.87979	+	4.98794i
$57$	10.3850	−	7.12873i	1.37553	−	0.944223i
$58$	−10.7533	+	18.6253i	−1.41198	+	2.44562i
$59$	−6.16069	+	10.6706i	−0.802053	+	1.38920i	0.116209	+	0.993225i	$0.462926\pi$
$59$	−6.16069	+	10.6706i	−0.802053	+	1.38920i	−0.918262	+	0.395973i	$0.870408\pi$
$60$	26.3260	+	12.5753i	3.39867	+	1.62346i
$61$	−0.275741	−	0.477598i	−0.0353051	−	0.0611502i	0.847833	−	0.530263i	$-0.177907\pi$
$61$	−0.275741	−	0.477598i	−0.0353051	−	0.0611502i	−0.883138	+	0.469113i	$0.844574\pi$
$62$	3.25652			0.413578
$63$	12.3507	−	1.94174i	1.55604	−	0.244636i
$64$	41.4828			5.18534
$65$	2.05920	+	3.56663i	0.255412	+	0.442387i
$66$	−0.985043	−	12.6080i	−0.121250	−	1.55194i
$67$	−0.500000	+	0.866025i	−0.0610847	+	0.105802i
$67$	−0.500000	+	0.866025i	−0.0610847	+	0.105802i
$68$	−5.62551	+	9.74366i	−0.682193	+	1.18159i
$69$	0.191746	+	2.45424i	0.0230835	+	0.295456i
$70$	−17.0460	−	29.5245i	−2.03739	−	3.52886i
$71$	−3.15744			−0.374719			−0.187360	−	0.982291i	$-0.559993\pi$
$71$	−3.15744			−0.374719			−0.187360	+	0.982291i	$0.559993\pi$
$72$	11.1519	−	28.9531i	1.31427	−	3.41215i
$73$	−11.2427			−1.31585			−0.657927	−	0.753082i	$-0.728566\pi$
$73$	−11.2427			−1.31585			−0.657927	+	0.753082i	$0.728566\pi$
$74$	1.11731	+	1.93525i	0.129885	+	0.224968i
$75$	−5.73031	−	2.73722i	−0.661679	−	0.316067i
$76$	−20.8059	+	36.0369i	−2.38660	+	4.13371i
$77$	−5.47507	+	9.48309i	−0.623942	+	1.08070i
$78$	5.55125	−	3.81061i	0.628555	−	0.431467i
$79$	0.423586	+	0.733672i	0.0476571	+	0.0825446i	0.888870	−	0.458160i	$-0.151491\pi$
$79$	0.423586	+	0.733672i	0.0476571	+	0.0825446i	−0.841213	+	0.540704i	$0.818158\pi$
$80$	−50.9156			−5.69254
$81$	−6.67456	−	6.03740i	−0.741618	−	0.670822i
$82$	8.06842			0.891008
$83$	3.86341	+	6.69162i	0.424064	+	0.734501i	0.996333	−	0.0855656i	$-0.0272697\pi$
$83$	3.86341	+	6.69162i	0.424064	+	0.734501i	−0.572268	+	0.820066i	$0.693936\pi$
$84$	−34.0509	+	23.3740i	−3.71526	+	2.55031i
$85$	2.89434	−	5.01315i	0.313935	−	0.543752i
$86$	6.46286	−	11.1940i	0.696908	−	1.20708i
$87$	−12.0961	−	5.77799i	−1.29683	−	0.619465i
$88$	13.5872	+	23.5337i	1.44840	+	2.50870i
$89$	0.702750			0.0744913			0.0372457	−	0.999306i	$-0.488142\pi$
$89$	0.702750			0.0744913			0.0372457	+	0.999306i	$0.488142\pi$
$90$	−8.82099	+	22.9014i	−0.929814	+	2.41402i
$91$	−5.83014			−0.611165
$92$	−4.06612	−	7.04273i	−0.423922	−	0.734255i
$93$	0.158104	+	2.02364i	0.0163946	+	0.209842i
$94$	−15.1205	+	26.1894i	−1.55956	+	2.70123i
$95$	10.7047	−	18.5411i	1.09828	−	1.90228i
$96$	3.69337	+	47.2730i	0.376953	+	4.82478i
$97$	−9.12770	−	15.8096i	−0.926777	−	1.60523i	−0.788677	−	0.614807i	$-0.789234\pi$
$97$	−9.12770	−	15.8096i	−0.926777	−	1.60523i	−0.138100	−	0.990418i	$-0.544100\pi$
$98$	28.8101			2.91026
$99$	7.78693	−	1.22424i	0.782616	−	0.123040i
$100$	20.9787			2.09787
$101$	−3.38603	−	5.86478i	−0.336923	−	0.583568i	0.646929	−	0.762550i	$-0.276053\pi$
$101$	−3.38603	−	5.86478i	−0.336923	−	0.583568i	−0.983852	+	0.178982i	$0.942720\pi$
$102$	−8.53983	−	4.07926i	−0.845569	−	0.403907i
$103$	−0.147787	+	0.255974i	−0.0145619	+	0.0252219i	−0.873215	−	0.487336i	$-0.837969\pi$
$103$	−0.147787	+	0.255974i	−0.0145619	+	0.0252219i	0.858653	+	0.512558i	$0.171302\pi$
$104$	−7.23418	+	12.5300i	−0.709370	+	1.22866i
$105$	17.5193	−	12.0260i	1.70971	−	1.17362i
$106$	2.29732	+	3.97907i	0.223135	+	0.386482i
$107$	4.96578			0.480060			0.240030	−	0.970765i	$-0.422843\pi$
$107$	4.96578			0.480060			0.240030	+	0.970765i	$0.422843\pi$
$108$	28.4925	+	8.49286i	2.74169	+	0.817226i
$109$	−15.7688			−1.51038			−0.755189	−	0.655507i	$-0.772455\pi$
$109$	−15.7688			−1.51038			−0.755189	+	0.655507i	$0.772455\pi$
$110$	−10.7472	−	18.6148i	−1.02471	−	1.77485i
$111$	−1.14834	+	0.788269i	−0.108996	+	0.0748192i
$112$	36.0390	−	62.4213i	3.40536	−	5.89826i
$113$	−2.58503	+	4.47740i	−0.243179	+	0.421198i	−0.961618	−	0.274392i	$-0.911524\pi$
$113$	−2.58503	+	4.47740i	−0.243179	+	0.421198i	0.718439	+	0.695590i	$0.244857\pi$
$114$	−31.5845	−	15.0871i	−2.95816	−	1.41304i
$115$	2.09203	+	3.62351i	0.195083	+	0.337894i
$116$	44.2839			4.11166
$117$	2.63748	+	3.26461i	0.243835	+	0.301813i
$118$	34.2388			3.15194
$119$	4.09733	+	7.09679i	0.375602	+	0.650562i
$120$	−4.10754	−	52.5741i	−0.374966	−	4.79934i
$121$	2.04805	−	3.54733i	0.186187	−	0.322485i
$122$	−0.766233	+	1.32716i	−0.0693715	+	0.120155i
$123$	0.391722	+	5.01382i	0.0353204	+	0.452081i
$124$	−3.35272	−	5.80708i	−0.301083	−	0.521491i
$125$	3.92579			0.351133
$126$	−21.8330	−	27.0244i	−1.94504	−	2.40752i
$127$	12.3025			1.09167			0.545834	−	0.837893i	$-0.316213\pi$
$127$	12.3025			1.09167			0.545834	+	0.837893i	$0.316213\pi$
$128$	−30.2601	−	52.4121i	−2.67464	−	4.63262i
$129$	7.26986	+	3.47263i	0.640076	+	0.305748i
$130$	5.72212	−	9.91101i	0.501863	−	0.869253i
$131$	−0.748586	+	1.29659i	−0.0654043	+	0.113284i	−0.896873	−	0.442288i	$-0.854167\pi$
$131$	−0.748586	+	1.29659i	−0.0654043	+	0.113284i	0.831469	+	0.555571i	$0.187500\pi$
$132$	−21.4686	+	14.7370i	−1.86860	+	1.28269i
$133$	15.1540	+	26.2474i	1.31401	+	2.27594i
$134$	2.77881			0.240053
$135$	−14.6595	−	4.36961i	−1.26169	−	0.376076i
$136$	20.3363			1.74382
$137$	1.60450	+	2.77908i	0.137082	+	0.237433i	0.926391	−	0.376564i	$-0.122894\pi$
$137$	1.60450	+	2.77908i	0.137082	+	0.237433i	−0.789309	+	0.613996i	$0.789561\pi$
$138$	5.63977	−	3.87138i	0.480089	−	0.329553i
$139$	2.27244	−	3.93598i	0.192746	−	0.333846i	−0.753413	−	0.657547i	$-0.771594\pi$
$139$	2.27244	−	3.93598i	0.192746	−	0.333846i	0.946159	+	0.323701i	$0.104927\pi$
$140$	−35.0991	+	60.7934i	−2.96641	+	5.13798i
$141$	−17.0085	−	8.12455i	−1.43238	−	0.684210i
$142$	4.38697	+	7.59845i	0.368146	+	0.637648i
$143$	−3.67582			−0.307387
$144$	−51.2566	+	8.05839i	−4.27138	+	0.671533i
$145$	−22.7842			−1.89213
$146$	15.6206	+	27.0557i	1.29277	+	2.23915i
$147$	1.39873	+	17.9030i	0.115366	+	1.47661i
$148$	2.30064	−	3.98483i	0.189111	−	0.327551i
$149$	4.34943	−	7.53344i	0.356319	−	0.617163i	−0.631023	−	0.775764i	$-0.717365\pi$
$149$	4.34943	−	7.53344i	0.356319	−	0.617163i	0.987343	+	0.158600i	$0.0506981\pi$
$150$	1.37453	+	17.5932i	0.112230	+	1.43648i
$151$	−3.25444	−	5.63686i	−0.264843	−	0.458721i	0.702679	−	0.711507i	$-0.251987\pi$
$151$	−3.25444	−	5.63686i	−0.264843	−	0.458721i	−0.967522	+	0.252785i	$0.918653\pi$
$152$	75.2135			6.10062
$153$	2.12029	−	5.50480i	0.171416	−	0.445037i
$154$	30.4284			2.45199
$155$	1.72498	+	2.98776i	0.138554	+	0.239983i
$156$	−12.5104	−	5.97590i	−1.00163	−	0.478455i
$157$	6.05180	−	10.4820i	0.482986	−	0.836556i	−0.516823	−	0.856092i	$-0.672886\pi$
$157$	6.05180	−	10.4820i	0.482986	−	0.836556i	0.999809	+	0.0195361i	$0.00621892\pi$
$158$	1.17707	−	2.03874i	0.0936423	−	0.162193i
$159$	−2.36111	+	1.62077i	−0.187248	+	0.128535i
$160$	40.2963	+	69.7952i	3.18570	+	5.51780i
$161$	−5.92311			−0.466807
$162$	−5.25545	+	24.4509i	−0.412908	+	1.92104i
$163$	0.771283			0.0604115			0.0302058	−	0.999544i	$-0.490384\pi$
$163$	0.771283			0.0604115			0.0302058	+	0.999544i	$0.490384\pi$
$164$	−8.30677	−	14.3877i	−0.648650	−	1.12349i
$165$	11.0457	−	7.58222i	0.859905	−	0.590275i
$166$	10.7357	−	18.5948i	0.833251	−	1.44323i
$167$	6.07306	−	10.5189i	0.469948	−	0.813973i	−0.529462	−	0.848334i	$-0.677606\pi$
$167$	6.07306	−	10.5189i	0.469948	−	0.813973i	0.999410	+	0.0343604i	$0.0109394\pi$
$168$	67.3620	+	32.1772i	5.19709	+	2.48252i
$169$	5.52145	+	9.56343i	0.424727	+	0.735648i
$170$	−16.0857			−1.23371
$171$	7.84189	−	20.3595i	0.599684	−	1.55693i
$172$	−26.6151			−2.02938
$173$	−8.66679	−	15.0113i	−0.658924	−	1.14129i	−0.980895	−	0.194540i	$-0.937679\pi$
$173$	−8.66679	−	15.0113i	−0.658924	−	1.14129i	0.321970	−	0.946750i	$-0.395655\pi$
$174$	2.90149	+	37.1374i	0.219962	+	2.81538i
$175$	7.63993	−	13.2327i	0.577524	−	1.00030i
$176$	22.7220	−	39.3557i	1.71274	−	2.96655i
$177$	1.66230	+	21.2764i	0.124946	+	1.59923i
$178$	−0.976405	−	1.69118i	−0.0731847	−	0.126760i
$179$	−18.2183			−1.36170			−0.680850	−	0.732423i	$-0.738389\pi$
$179$	−18.2183			−1.36170			−0.680850	+	0.732423i	$0.738389\pi$
$180$	49.9198	−	7.84823i	3.72080	−	0.584972i
$181$	6.64504			0.493922			0.246961	−	0.969025i	$-0.420568\pi$
$181$	6.64504			0.493922			0.246961	+	0.969025i	$0.420568\pi$
$182$	8.10044	+	14.0304i	0.600445	+	1.04000i
$183$	−0.861911	−	0.411714i	−0.0637143	−	0.0304347i
$184$	−7.34954	+	12.7298i	−0.541815	+	0.938451i
$185$	−1.18369	+	2.05021i	−0.0870264	+	0.150734i
$186$	4.65027	−	3.19214i	0.340974	−	0.234059i
$187$	2.58331	+	4.47442i	0.188910	+	0.327202i
$188$	62.2685			4.54140
$189$	15.7333	−	14.8793i	1.14443	−	1.08231i
$190$	−59.4927			−4.31605
$191$	1.29949	+	2.25079i	0.0940280	+	0.162861i	0.909203	−	0.416354i	$-0.136692\pi$
$191$	1.29949	+	2.25079i	0.0940280	+	0.162861i	−0.815175	+	0.579215i	$0.803359\pi$
$192$	59.2368	−	40.6627i	4.27505	−	2.93458i
$193$	−5.51213	+	9.54730i	−0.396772	+	0.687229i	−0.993326	−	0.115344i	$-0.963203\pi$
$193$	−5.51213	+	9.54730i	−0.396772	+	0.687229i	0.596554	+	0.802573i	$0.296536\pi$
$194$	−25.3642	+	43.9320i	−1.82104	+	3.15414i
$195$	6.43663	+	3.07462i	0.460937	+	0.220178i
$196$	−29.6612	−	51.3747i	−2.11866	−	3.66962i
$197$	23.2114			1.65374			0.826872	−	0.562390i	$-0.190118\pi$
$197$	23.2114			1.65374			0.826872	+	0.562390i	$0.190118\pi$
$198$	−13.7654	−	17.0385i	−0.978262	−	1.21087i
$199$	−7.54897			−0.535132			−0.267566	−	0.963540i	$-0.586219\pi$
$199$	−7.54897			−0.535132			−0.267566	+	0.963540i	$0.586219\pi$
$200$	−18.9596	−	32.8390i	−1.34065	−	2.32207i
$201$	0.134912	+	1.72679i	0.00951592	+	0.121798i
$202$	−9.40916	+	16.2971i	−0.662026	+	1.14666i
$203$	16.1271	−	27.9329i	1.13190	−	1.96051i
$204$	1.51789	+	19.4281i	0.106274	+	1.36024i
$205$	4.27386	+	7.40254i	0.298499	+	0.517016i
$206$	0.821344			0.0572257
$207$	2.67953	+	3.31667i	0.186240	+	0.230524i
$208$	24.1957			1.67767
$209$	9.55434	+	16.5486i	0.660888	+	1.14469i
$210$	−53.2823	−	25.4516i	−3.67683	−	1.75633i
$211$	3.00475	−	5.20438i	0.206856	−	0.358285i	−0.743867	−	0.668328i	$-0.767010\pi$
$211$	3.00475	−	5.20438i	0.206856	−	0.358285i	0.950722	+	0.310043i	$0.100344\pi$
$212$	4.73037	−	8.19323i	0.324883	−	0.562714i
$213$	−4.50878	+	3.09502i	−0.308937	+	0.212067i
$214$	−6.89949	−	11.9503i	−0.471639	−	0.816903i
$215$	13.6936			0.933893
$216$	−12.4559	−	52.2761i	−0.847519	−	3.55694i
$217$	−4.88390			−0.331540
$218$	21.9093	+	37.9480i	1.48388	+	2.57016i
$219$	−16.0544	+	11.0204i	−1.08485	+	0.744690i
$220$	−22.1294	+	38.3293i	−1.49197	+	2.58416i
$221$	−1.37542	+	2.38230i	−0.0925209	+	0.160251i
$222$	3.49250	+	1.66828i	0.234401	+	0.111968i
$223$	−2.86257	−	4.95811i	−0.191692	−	0.332020i	0.754119	−	0.656737i	$-0.228064\pi$
$223$	−2.86257	−	4.95811i	−0.191692	−	0.332020i	−0.945811	+	0.324718i	$0.894731\pi$
$224$	−114.090			−7.62294
$225$	−10.8659	+	1.70830i	−0.724394	+	0.113887i
$226$	14.3666			0.955652
$227$	−0.595306	−	1.03110i	−0.0395118	−	0.0684365i	0.845593	−	0.533828i	$-0.179247\pi$
$227$	−0.595306	−	1.03110i	−0.0395118	−	0.0684365i	−0.885105	+	0.465391i	$0.845914\pi$
$228$	5.61391	+	71.8547i	0.371790	+	4.75870i
$229$	−10.8325	+	18.7625i	−0.715835	+	1.23986i	0.246802	+	0.969066i	$0.420620\pi$
$229$	−10.8325	+	18.7625i	−0.715835	+	1.23986i	−0.962637	+	0.270796i	$0.912713\pi$
$230$	5.81337	−	10.0690i	0.383322	−	0.663933i
$231$	1.47730	+	18.9086i	0.0971991	+	1.24409i
$232$	−40.0217	−	69.3196i	−2.62755	−	4.55106i
$233$	−7.23018			−0.473665			−0.236832	−	0.971551i	$-0.576109\pi$
$233$	−7.23018			−0.473665			−0.236832	+	0.971551i	$0.576109\pi$
$234$	4.19183	−	10.8830i	0.274028	−	0.711445i
$235$	−32.0374			−2.08989
$236$	−35.2502	−	61.0552i	−2.29459	−	3.97435i
$237$	1.32404	+	0.632462i	0.0860059	+	0.0410828i
$238$	11.3857	−	19.7206i	0.738027	−	1.27830i
$239$	−6.83782	+	11.8435i	−0.442302	+	0.766090i	−0.997860	−	0.0653883i	$-0.979171\pi$
$239$	−6.83782	+	11.8435i	−0.442302	+	0.766090i	0.555558	+	0.831478i	$0.312505\pi$
$240$	−72.7069	+	49.9091i	−4.69321	+	3.22162i
$241$	6.53486	+	11.3187i	0.420947	+	0.729102i	0.996032	−	0.0889917i	$-0.0283645\pi$
$241$	6.53486	+	11.3187i	0.420947	+	0.729102i	−0.575085	+	0.818093i	$0.695031\pi$
$242$	−11.3823			−0.731682
$243$	−15.4492	−	2.07871i	−0.991069	−	0.133349i
$244$	3.15547			0.202008
$245$	15.2608	+	26.4325i	0.974976	+	1.68871i
$246$	11.5216	−	7.90892i	0.734591	−	0.504254i
$247$	−5.08699	+	8.81092i	−0.323677	+	0.560626i
$248$	−6.06005	+	10.4963i	−0.384814	+	0.666517i
$249$	12.0762	+	5.76851i	0.765300	+	0.365565i
$250$	−5.45451	−	9.44750i	−0.344974	−	0.597512i
$251$	−14.2373			−0.898653			−0.449326	−	0.893368i	$-0.648336\pi$
$251$	−14.2373			−0.898653			−0.449326	+	0.893368i	$0.648336\pi$
$252$	−25.7124	+	66.7556i	−1.61973	+	4.20521i
$253$	−3.73443			−0.234782
$254$	−17.0931	−	29.6062i	−1.07252	−	1.85766i
$255$	−0.780960	−	9.99583i	−0.0489056	−	0.625963i
$256$	−42.6045	+	73.7931i	−2.66278	+	4.61207i
$257$	3.15660	−	5.46740i	0.196903	−	0.341047i	−0.750619	−	0.660735i	$-0.770245\pi$
$257$	3.15660	−	5.46740i	0.196903	−	0.341047i	0.947523	+	0.319688i	$0.103578\pi$
$258$	−1.74383	−	22.3200i	−0.108566	−	1.38958i
$259$	−1.67567	−	2.90234i	−0.104121	−	0.180343i
$260$	−23.5646			−1.46142
$261$	−22.9368	+	3.60605i	−1.41975	+	0.223209i
$262$	4.16036			0.257028
$263$	−10.2331	−	17.7242i	−0.630999	−	1.09292i	−0.987348	−	0.158569i	$-0.949312\pi$
$263$	−10.2331	−	17.7242i	−0.630999	−	1.09292i	0.356349	−	0.934353i	$-0.384022\pi$
$264$	42.4708	+	20.2872i	2.61389	+	1.24859i
$265$	−2.43379	+	4.21545i	−0.149506	+	0.258953i
$266$	42.1100	−	72.9366i	2.58193	−	4.47203i
$267$	1.00352	−	0.688857i	0.0614143	−	0.0421574i
$268$	−2.86090	−	4.95522i	−0.174757	−	0.302688i
$269$	15.5895			0.950510			0.475255	−	0.879848i	$-0.342356\pi$
$269$	15.5895			0.950510			0.475255	+	0.879848i	$0.342356\pi$
$270$	9.85245	+	41.3496i	0.599601	+	2.51645i
$271$	8.40067			0.510305			0.255152	−	0.966901i	$-0.417874\pi$
$271$	8.40067			0.510305			0.255152	+	0.966901i	$0.417874\pi$
$272$	−17.0043	−	29.4523i	−1.03104	−	1.78581i
$273$	−8.32537	+	5.71489i	−0.503874	+	0.345881i
$274$	4.45861	−	7.72254i	0.269354	−	0.466535i
$275$	4.81686	−	8.34305i	0.290468	−	0.503105i
$276$	−12.7099	−	6.07119i	−0.765044	−	0.365442i
$277$	7.96899	+	13.8027i	0.478810	+	0.829324i	0.999705	−	0.0242971i	$-0.00773478\pi$
$277$	7.96899	+	13.8027i	0.478810	+	0.829324i	−0.520894	+	0.853621i	$0.674401\pi$
$278$	−12.6294			−0.757460
$279$	2.20941	+	2.73475i	0.132274	+	0.163725i
$280$	126.884			7.58274
$281$	11.5818	+	20.0603i	0.690914	+	1.19670i	0.971539	+	0.236881i	$0.0761252\pi$
$281$	11.5818	+	20.0603i	0.690914	+	1.19670i	−0.280624	+	0.959818i	$0.590541\pi$
$282$	4.07985	+	52.2197i	0.242952	+	3.10964i
$283$	−8.13795	+	14.0953i	−0.483751	+	0.837882i	−0.999826	−	0.0186620i	$-0.994059\pi$
$283$	−8.13795	+	14.0953i	−0.483751	+	0.837882i	0.516075	+	0.856544i	$0.327393\pi$
$284$	9.03312	−	15.6458i	0.536017	−	0.928409i
$285$	−2.88837	−	36.9695i	−0.171093	−	2.18988i
$286$	5.10721	+	8.84594i	0.301995	+	0.523072i
$287$	−12.1005			−0.714267
$288$	51.6126	+	63.8849i	3.04130	+	3.76446i
$289$	−13.1335			−0.772559
$290$	31.6565	+	54.8307i	1.85894	+	3.21977i
$291$	−28.5313	−	13.6287i	−1.67254	−	0.798929i
$292$	32.1641	−	55.7099i	1.88226	−	3.26017i
$293$	−10.9545	+	18.9738i	−0.639969	+	1.10846i	0.345470	+	0.938430i	$0.387719\pi$
$293$	−10.9545	+	18.9738i	−0.639969	+	1.10846i	−0.985439	+	0.170029i	$0.945614\pi$
$294$	41.1405	−	28.2406i	2.39936	−	1.64702i
$295$	18.1364	+	31.4131i	1.05594	+	1.82894i
$296$	−8.31684			−0.483406
$297$	9.91960	−	9.38119i	0.575594	−	0.544352i
$298$	−24.1725			−1.40028
$299$	−0.994157	−	1.72193i	−0.0574936	−	0.0995818i
$300$	29.9574	−	20.5640i	1.72959	−	1.18726i
$301$	−9.69254	+	16.7880i	−0.558669	+	0.967643i
$302$	−9.04349	+	15.6638i	−0.520395	+	0.901350i
$303$	−10.5841	−	5.05574i	−0.608038	−	0.290445i
$304$	−62.8903	−	108.929i	−3.60701	−	6.24752i
$305$	−1.62350			−0.0929614
$306$	−16.1934	+	2.54587i	−0.925714	+	0.145538i
$307$	−30.5258			−1.74220			−0.871099	−	0.491108i	$-0.836592\pi$
$307$	−30.5258			−1.74220			−0.871099	+	0.491108i	$0.836592\pi$
$308$	−31.3272	−	54.2603i	−1.78503	−	3.09177i
$309$	0.0398763	+	0.510393i	0.00226848	+	0.0290353i
$310$	4.79341	−	8.30243i	0.272247	−	0.471546i
$311$	2.66315	−	4.61271i	0.151013	−	0.261563i	−0.780587	−	0.625047i	$-0.785080\pi$
$311$	2.66315	−	4.61271i	0.151013	−	0.261563i	0.931600	+	0.363485i	$0.118413\pi$
$312$	1.95195	+	24.9838i	0.110507	+	1.41443i
$313$	11.9936	+	20.7736i	0.677920	+	1.17419i	0.975606	+	0.219528i	$0.0704518\pi$
$313$	11.9936	+	20.7736i	0.677920	+	1.17419i	−0.297686	+	0.954664i	$0.596215\pi$
$314$	−33.6336			−1.89805
$315$	13.2291	−	34.3460i	0.745375	−	1.93518i
$316$	−4.84735			−0.272685
$317$	8.34018	+	14.4456i	0.468431	+	0.811346i	0.999349	−	0.0360770i	$-0.0114862\pi$
$317$	8.34018	+	14.4456i	0.468431	+	0.811346i	−0.530918	+	0.847423i	$0.678153\pi$
$318$	7.18095	+	3.43016i	0.402688	+	0.192354i
$319$	10.1679	−	17.6113i	0.569292	−	0.986043i
$320$	61.0602	−	105.759i	3.41337	−	5.91213i
$321$	7.09107	−	4.86761i	0.395785	−	0.271684i
$322$	8.22961	+	14.2541i	0.458618	+	0.794350i
$323$	14.3002			0.795685
$324$	49.0119	−	15.8016i	2.72288	−	0.877865i
$325$	5.12925			0.284520
$326$	−1.07163	−	1.85611i	−0.0593518	−	0.102800i
$327$	−22.5177	+	15.4571i	−1.24523	+	0.854779i
$328$	−15.0145	+	26.0059i	−0.829039	+	1.43594i
$329$	22.6766	−	39.2770i	1.25020	−	2.16541i
$330$	−33.5937	−	16.0469i	−1.84927	−	0.883351i
$331$	15.9091	+	27.5554i	0.874444	+	1.51458i	0.857354	+	0.514727i	$0.172107\pi$
$331$	15.9091	+	27.5554i	0.874444	+	1.51458i	0.0170896	+	0.999854i	$0.494560\pi$
$332$	−44.2113			−2.42641
$333$	−0.867128	+	2.25128i	−0.0475183	+	0.123369i
$334$	−33.7518			−1.84682
$335$	1.47194	+	2.54948i	0.0804208	+	0.139293i
$336$	−9.72415	−	124.463i	−0.530496	−	6.79004i
$337$	0.277374	−	0.480425i	0.0151095	−	0.0261704i	−0.858372	−	0.513028i	$-0.828524\pi$
$337$	0.277374	−	0.480425i	0.0151095	−	0.0261704i	0.873481	+	0.486858i	$0.161857\pi$
$338$	15.3431	−	26.5750i	0.834553	−	1.44549i
$339$	0.697500	+	8.92759i	0.0378830	+	0.484880i
$340$	16.5608	+	28.6842i	0.898138	+	1.55562i
$341$	−3.07922			−0.166749
$342$	−59.8911	+	9.41588i	−3.23854	+	0.509153i
$343$	−14.0351			−0.757826
$344$	24.0535	+	41.6618i	1.29688	+	2.24626i
$345$	6.53927	+	3.12365i	0.352063	+	0.168171i
$346$	−24.0834	+	41.7137i	−1.29473	+	2.24254i
$347$	0.280842	−	0.486433i	0.0150764	−	0.0261131i	−0.858389	−	0.513000i	$-0.828534\pi$
$347$	0.280842	−	0.486433i	0.0150764	−	0.0261131i	0.873465	+	0.486887i	$0.161868\pi$
$348$	63.2369	−	43.4085i	3.38985	−	2.32694i
$349$	9.65516	+	16.7232i	0.516829	+	0.895174i	0.999809	+	0.0195426i	$0.00622098\pi$
$349$	9.65516	+	16.7232i	0.516829	+	0.895174i	−0.482980	+	0.875631i	$0.660446\pi$
$350$	−42.4599			−2.26957
$351$	6.96635	+	2.07648i	0.371836	+	0.110834i
$352$	−71.9319			−3.83398
$353$	−6.66984	−	11.5525i	−0.355000	−	0.614878i	0.632118	−	0.774872i	$-0.282186\pi$
$353$	−6.66984	−	11.5525i	−0.355000	−	0.614878i	−0.987118	+	0.159994i	$0.948852\pi$
$354$	48.8926	−	33.5619i	2.59861	−	1.78380i
$355$	−4.64757	+	8.04983i	−0.246667	+	0.427241i
$356$	−2.01050	+	3.48228i	−0.106556	+	0.184561i
$357$	12.8074	+	6.11779i	0.677841	+	0.323788i
$358$	25.3126	+	43.8427i	1.33781	+	2.31716i
$359$	−19.6373			−1.03642			−0.518208	−	0.855255i	$-0.673401\pi$
$359$	−19.6373			−1.03642			−0.518208	+	0.855255i	$0.673401\pi$
$360$	−57.4003	−	71.0489i	−3.02526	−	3.74460i
$361$	33.8892			1.78364
$362$	−9.23266	−	15.9914i	−0.485258	−	0.840491i
$363$	−0.552612	−	7.07311i	−0.0290046	−	0.371242i
$364$	16.6795	−	28.8897i	0.874241	−	1.51423i
$365$	−16.5485	+	28.6629i	−0.866191	+	1.50029i
$366$	0.206747	+	2.64625i	0.0108069	+	0.138322i
$367$	−7.90042	−	13.6839i	−0.412399	−	0.714296i	0.582753	−	0.812650i	$-0.301976\pi$
$367$	−7.90042	−	13.6839i	−0.412399	−	0.714296i	−0.995152	+	0.0983539i	$0.968642\pi$
$368$	24.5815			1.28140
$369$	5.47408	+	6.77569i	0.284969	+	0.352728i
$370$	6.57849			0.341999
$371$	−3.44536	−	5.96753i	−0.178874	−	0.309819i
$372$	−10.4799	−	5.00599i	−0.543358	−	0.259549i
$373$	−9.74445	+	16.8779i	−0.504548	+	0.873904i	0.495438	+	0.868643i	$0.335008\pi$
$373$	−9.74445	+	16.8779i	−0.504548	+	0.873904i	−0.999986	+	0.00526009i	$0.998326\pi$
$374$	7.17853	−	12.4336i	0.371193	−	0.642925i
$375$	5.60597	−	3.84818i	0.289491	−	0.198719i
$376$	−56.2753	−	97.4717i	−2.90218	−	5.02672i
$377$	10.8273			0.557635
$378$	−57.6673	−	17.1891i	−2.96609	−	0.884111i
$379$	−23.3898			−1.20145			−0.600727	−	0.799454i	$-0.705122\pi$
$379$	−23.3898			−1.20145			−0.600727	+	0.799454i	$0.705122\pi$
$380$	61.2501	+	106.088i	3.14207	+	5.44222i
$381$	17.5678	−	12.0593i	0.900024	−	0.617815i
$382$	3.61105	−	6.25451i	0.184757	−	0.320009i
$383$	7.25960	−	12.5740i	0.370948	−	0.642501i	−0.618763	−	0.785577i	$-0.712366\pi$
$383$	7.25960	−	12.5740i	0.370948	−	0.642501i	0.989712	+	0.143076i	$0.0456994\pi$
$384$	−94.5870	−	45.1819i	−4.82687	−	2.30568i
$385$	16.1180	+	27.9171i	0.821448	+	1.42279i
$386$	30.6344			1.55925
$387$	13.7853	−	2.16727i	0.700744	−	0.110169i
$388$	104.454			5.30283
$389$	−3.72030	−	6.44374i	−0.188627	−	0.326711i	0.756166	−	0.654380i	$-0.227070\pi$
$389$	−3.72030	−	6.44374i	−0.188627	−	0.326711i	−0.944793	+	0.327669i	$0.893737\pi$
$390$	−1.54396	−	19.7618i	−0.0781815	−	1.00068i
$391$	−1.39735	+	2.42029i	−0.0706673	+	0.122399i
$392$	−53.6128	+	92.8600i	−2.70785	+	4.69014i
$393$	0.201986	+	2.58530i	0.0101888	+	0.130411i
$394$	−32.2501	−	55.8588i	−1.62474	−	2.81412i
$395$	2.49398			0.125486
$396$	−16.2113	+	42.0884i	−0.814647	+	2.11502i
$397$	32.6662			1.63947			0.819734	−	0.572745i	$-0.194121\pi$
$397$	32.6662			1.63947			0.819734	+	0.572745i	$0.194121\pi$
$398$	10.4886	+	18.1668i	0.525745	+	0.910617i
$399$	47.3682	+	22.6266i	2.37137	+	1.13275i
$400$	−31.7064	+	54.9171i	−1.58532	+	2.74586i
$401$	−19.1008	+	33.0835i	−0.953846	+	1.65211i	−0.216859	+	0.976203i	$0.569581\pi$
$401$	−19.1008	+	33.0835i	−0.953846	+	1.65211i	−0.736987	+	0.675907i	$0.763752\pi$
$402$	3.96811	−	2.72388i	0.197911	−	0.135855i
$403$	−0.819731	−	1.41982i	−0.0408337	−	0.0707261i
$404$	38.7484			1.92781
$405$	−25.2168	+	8.12996i	−1.25303	+	0.403981i
$406$	−89.6282			−4.44818
$407$	−1.05648	−	1.82989i	−0.0523680	−	0.0907040i
$408$	29.0399	−	19.9342i	1.43769	−	0.986892i
$409$	17.0916	−	29.6034i	0.845123	−	1.46380i	−0.0403910	−	0.999184i	$-0.512860\pi$
$409$	17.0916	−	29.6034i	0.845123	−	1.46380i	0.885514	−	0.464612i	$-0.153806\pi$
$410$	11.8763	−	20.5703i	0.586527	−	1.01589i
$411$	5.01535	+	2.39570i	0.247389	+	0.118171i
$412$	−0.845606	−	1.46463i	−0.0416600	−	0.0721573i
$413$	−51.3489			−2.52672
$414$	4.25867	−	11.0566i	0.209302	−	0.543400i
$415$	22.7469			1.11660
$416$	−19.1492	−	33.1674i	−0.938869	−	1.62617i
$417$	−0.613157	−	7.84805i	−0.0300264	−	0.384321i
$418$	26.5497	−	45.9855i	1.29859	−	2.24922i
$419$	1.05953	−	1.83515i	0.0517612	−	0.0896530i	−0.838984	−	0.544156i	$-0.816850\pi$
$419$	1.05953	−	1.83515i	0.0517612	−	0.0896530i	0.890745	+	0.454503i	$0.150183\pi$
$420$	9.47054	+	121.217i	0.462115	+	5.91480i
$421$	−7.36669	−	12.7595i	−0.359031	−	0.621859i	0.628769	−	0.777593i	$-0.283559\pi$
$421$	−7.36669	−	12.7595i	−0.359031	−	0.621859i	−0.987799	+	0.155733i	$0.950226\pi$
$422$	−16.6993			−0.812909
$423$	−32.2519	+	5.07054i	−1.56814	+	0.246538i
$424$	−17.1003			−0.830465
$425$	−3.60476	−	6.24362i	−0.174856	−	0.302860i
$426$	13.7128	+	6.55025i	0.664386	+	0.317361i
$427$	1.14914	−	1.99037i	0.0556109	−	0.0963210i
$428$	−14.2066	+	24.6066i	−0.686702	+	1.18940i
$429$	−5.24902	+	3.60315i	−0.253425	+	0.173962i
$430$	−19.0259	−	32.9539i	−0.917511	−	1.58918i
$431$	−1.88141			−0.0906242			−0.0453121	−	0.998973i	$-0.514428\pi$
$431$	−1.88141			−0.0906242			−0.0453121	+	0.998973i	$0.514428\pi$
$432$	−65.2946	+	61.7506i	−3.14149	+	2.97098i
$433$	9.10088			0.437361			0.218680	−	0.975797i	$-0.429825\pi$
$433$	9.10088			0.437361			0.218680	+	0.975797i	$0.429825\pi$
$434$	6.78572	+	11.7532i	0.325725	+	0.564172i
$435$	−32.5356	+	22.3338i	−1.55996	+	1.07082i
$436$	45.1130	−	78.1380i	2.16052	−	3.74213i
$437$	−5.16811	+	8.95142i	−0.247224	+	0.428205i
$438$	48.8269	+	23.3234i	2.33304	+	1.11443i
$439$	11.5125	+	19.9402i	0.549461	+	0.951695i	0.998311	+	0.0580877i	$0.0185003\pi$
$439$	11.5125	+	19.9402i	0.549461	+	0.951695i	−0.448850	+	0.893607i	$0.648166\pi$
$440$	79.9982			3.81376
$441$	19.5464	+	24.1941i	0.930782	+	1.15210i
$442$	7.64408			0.363592
$443$	14.0253	+	24.2926i	0.666363	+	1.15417i	0.978914	+	0.204273i	$0.0654830\pi$
$443$	14.0253	+	24.2926i	0.666363	+	1.15417i	−0.312551	+	0.949901i	$0.601184\pi$
$444$	−0.620766	−	7.94544i	−0.0294602	−	0.377074i
$445$	1.03441	−	1.79165i	0.0490356	−	0.0849322i
$446$	−7.95454	+	13.7777i	−0.376658	+	0.652391i
$447$	−1.17358	−	15.0211i	−0.0555083	−	0.710474i
$448$	86.4390	+	149.717i	4.08386	+	7.07345i
$449$	−5.35188			−0.252571			−0.126285	−	0.991994i	$-0.540306\pi$
$449$	−5.35188			−0.252571			−0.126285	+	0.991994i	$0.540306\pi$
$450$	19.2082	+	23.7755i	0.905485	+	1.12079i
$451$	−7.62916			−0.359243
$452$	−14.7910	−	25.6188i	−0.695710	−	1.20501i
$453$	−10.1727	−	4.85926i	−0.477957	−	0.228308i
$454$	−1.65424	+	2.86523i	−0.0776375	+	0.134472i
$455$	−8.58164	+	14.8638i	−0.402313	+	0.696827i
$456$	107.404	−	73.7266i	5.02965	−	3.45257i
$457$	−9.25264	−	16.0260i	−0.432820	−	0.749667i	0.564295	−	0.825574i	$-0.309148\pi$
$457$	−9.25264	−	16.0260i	−0.432820	−	0.749667i	−0.997115	+	0.0759067i	$0.975815\pi$
$458$	60.2032			2.81311
$459$	−2.36823	−	9.93916i	−0.110539	−	0.463920i
$460$	−23.9404			−1.11623
$461$	−17.0116	−	29.4649i	−0.792307	−	1.37232i	−0.924535	−	0.381097i	$-0.875547\pi$
$461$	−17.0116	−	29.4649i	−0.792307	−	1.37232i	0.132228	−	0.991219i	$-0.457787\pi$
$462$	43.4513	−	29.8268i	2.02154	−	1.38767i
$463$	11.7528	−	20.3564i	0.546198	−	0.946043i	−0.452332	−	0.891850i	$-0.649408\pi$
$463$	11.7528	−	20.3564i	0.546198	−	0.946043i	0.998530	−	0.0541937i	$-0.0172588\pi$
$464$	−66.9289	+	115.924i	−3.10710	+	5.38165i
$465$	5.39195	+	2.57560i	0.250046	+	0.119441i
$466$	10.0457	+	17.3996i	0.465356	+	0.806020i
$467$	20.7180			0.958715			0.479357	−	0.877620i	$-0.340870\pi$
$467$	20.7180			0.958715			0.479357	+	0.877620i	$0.340870\pi$
$468$	−23.7224	+	3.72956i	−1.09657	+	0.172399i
$469$	−4.16747			−0.192436
$470$	44.5129	+	77.0986i	2.05323	+	3.55629i
$471$	−1.63291	−	20.9003i	−0.0752407	−	0.963037i
$472$	−63.7150	+	110.358i	−2.93272	+	5.07962i
$473$	−6.11100	+	10.5846i	−0.280984	+	0.486679i
$474$	−0.317599	−	4.06509i	−0.0145878	−	0.186716i
$475$	−13.3322	−	23.0920i	−0.611722	−	1.05953i
$476$	−46.8882			−2.14912
$477$	−1.78291	+	4.62887i	−0.0816338	+	0.211941i
$478$	38.0021			1.73817
$479$	3.50411	+	6.06930i	0.160107	+	0.277314i	0.934907	−	0.354893i	$-0.115483\pi$
$479$	3.50411	+	6.06930i	0.160107	+	0.277314i	−0.774800	+	0.632207i	$0.782149\pi$
$480$	125.958	+	60.1670i	5.74917	+	2.74624i
$481$	0.562501	−	0.974280i	0.0256478	−	0.0444234i
$482$	18.1591	−	31.4526i	0.827126	−	1.43262i
$483$	−8.45813	+	5.80602i	−0.384858	+	0.264183i
$484$	11.7185	+	20.2971i	0.532661	+	0.922596i
$485$	−53.7418			−2.44029
$486$	16.4628	+	40.0671i	0.746768	+	1.81748i
$487$	26.4900			1.20038			0.600188	−	0.799859i	$-0.295092\pi$
$487$	26.4900			1.20038			0.600188	+	0.799859i	$0.295092\pi$
$488$	−2.85177	−	4.93941i	−0.129093	−	0.223596i
$489$	1.10138	−	0.756035i	0.0498062	−	0.0341891i
$490$	42.4069	−	73.4508i	1.91575	−	3.31817i
$491$	−0.145083	+	0.251292i	−0.00654752	+	0.0113406i	−0.869281	−	0.494319i	$-0.835417\pi$
$491$	−0.145083	+	0.251292i	−0.00654752	+	0.0113406i	0.862733	+	0.505660i	$0.168751\pi$
$492$	−25.9653	−	12.4030i	−1.17060	−	0.559169i
$493$	−7.60926	−	13.1796i	−0.342704	−	0.593580i
$494$	28.2716			1.27200
$495$	8.34075	−	21.6546i	0.374889	−	0.973303i
$496$	20.2686			0.910089
$497$	−6.57927	−	11.3956i	−0.295120	−	0.511164i
$498$	−2.89674	−	37.0765i	−0.129806	−	1.66144i
$499$	8.94509	−	15.4933i	0.400437	−	0.693578i	−0.593341	−	0.804951i	$-0.702192\pi$
$499$	8.94509	−	15.4933i	0.400437	−	0.693578i	0.993779	+	0.111373i	$0.0355249\pi$
$500$	−11.2313	+	19.4532i	−0.502278	+	0.869972i
$501$	−1.63865	−	20.9738i	−0.0732096	−	0.937040i
$502$	19.7814	+	34.2625i	0.882889	+	1.52921i
$503$	12.8688			0.573790			0.286895	−	0.957962i	$-0.407377\pi$
$503$	12.8688			0.573790			0.286895	+	0.957962i	$0.407377\pi$
$504$	127.733	−	20.0818i	5.68969	−	0.894514i
$505$	−19.9362			−0.887149
$506$	5.18865	+	8.98700i	0.230663	+	0.399521i
$507$	17.2589	+	8.24416i	0.766496	+	0.366136i
$508$	−35.1961	+	60.9615i	−1.56158	+	2.70473i
$509$	−14.5373	+	25.1794i	−0.644356	+	1.11606i	0.340094	+	0.940392i	$0.389541\pi$
$509$	−14.5373	+	25.1794i	−0.644356	+	1.11606i	−0.984450	+	0.175666i	$0.943792\pi$
$510$	−22.9701	+	15.7677i	−1.01713	+	0.698204i
$511$	−23.4267	−	40.5762i	−1.03634	−	1.79499i
$512$	115.739			5.11500
$513$	−8.75886	−	36.7599i	−0.386713	−	1.62299i
$514$	−17.5432			−0.773798
$515$	0.435067	+	0.753559i	0.0191714	+	0.0332058i
$516$	−38.0060	+	26.0890i	−1.67312	+	1.14850i
$517$	14.2973	−	24.7636i	0.628793	−	1.08910i
$518$	−4.65637	+	8.06507i	−0.204589	+	0.354359i
$519$	−27.0906	−	12.9405i	−1.18915	−	0.568026i
$520$	21.2966	+	36.8868i	0.933917	+	1.61759i
$521$	−17.8440			−0.781759			−0.390880	−	0.920442i	$-0.627829\pi$
$521$	−17.8440			−0.781759			−0.390880	+	0.920442i	$0.627829\pi$
$522$	40.5466	+	50.1876i	1.77467	+	2.19665i
$523$	−28.9414			−1.26552			−0.632759	−	0.774348i	$-0.718078\pi$
$523$	−28.9414			−1.26552			−0.632759	+	0.774348i	$0.718078\pi$
$524$	−4.28326	−	7.41882i	−0.187115	−	0.324093i
$525$	−2.06143	−	26.3851i	−0.0899681	−	1.15154i
$526$	−28.4358	+	49.2523i	−1.23986	+	2.14750i
$527$	−1.15219	+	1.99565i	−0.0501901	+	0.0869318i
$528$	−6.13093	−	78.4723i	−0.266815	−	3.41507i
$529$	10.4900	+	18.1692i	0.456087	+	0.789965i
$530$	13.5261			0.587536
$531$	23.2295	+	28.7530i	1.00808	+	1.24777i
$532$	−173.416			−7.51853
$533$	−2.03098	−	3.51777i	−0.0879717	−	0.152371i
$534$	−3.05204	−	1.45788i	−0.132075	−	0.0630889i
$535$	7.30935	−	12.6602i	0.316011	−	0.547346i
$536$	−5.17109	+	8.95659i	−0.223357	+	0.386866i
$537$	−26.0155	+	17.8581i	−1.12265	+	0.770635i
$538$	−21.6602	−	37.5165i	−0.933837	−	1.61745i
$539$	−27.2416			−1.17338
$540$	63.5917	−	60.1401i	2.73655	−	2.58802i
$541$	−28.2266			−1.21356			−0.606778	−	0.794871i	$-0.707538\pi$
$541$	−28.2266			−1.21356			−0.606778	+	0.794871i	$0.707538\pi$
$542$	−11.6720	−	20.2164i	−0.501353	−	0.868369i
$543$	9.48903	−	6.51367i	0.407213	−	0.279528i
$544$	−26.9156	+	46.6191i	−1.15399	+	1.99878i
$545$	−23.2108	+	40.2023i	−0.994241	+	1.72208i
$546$	25.3203	+	12.0949i	1.08361	+	0.517613i
$547$	−7.86065	−	13.6150i	−0.336097	−	0.582137i	0.647598	−	0.761982i	$-0.275774\pi$
$547$	−7.86065	−	13.6150i	−0.336097	−	0.582137i	−0.983695	+	0.179845i	$0.942440\pi$
$548$	−18.3613			−0.784354
$549$	−1.63437	+	0.256951i	−0.0697533	+	0.0109664i
$550$	−26.7703			−1.14149
$551$	−28.1428	−	48.7447i	−1.19892	−	2.07660i
$552$	1.98307	+	25.3822i	0.0844052	+	1.08034i
$553$	−1.76528	+	3.05756i	−0.0750674	+	0.130020i
$554$	22.1443	−	38.3551i	0.940823	−	1.62955i
$555$	0.319386	+	4.08796i	0.0135572	+	0.173524i
$556$	13.0025	+	22.5209i	0.551427	+	0.955099i
$557$	1.64956			0.0698939			0.0349470	−	0.999389i	$-0.488874\pi$
$557$	1.64956			0.0698939			0.0349470	+	0.999389i	$0.488874\pi$
$558$	3.51148	−	9.11667i	0.148653	−	0.385939i
$559$	−6.50733			−0.275231
$560$	−106.095	−	183.761i	−4.48332	−	7.76533i
$561$	8.07490	+	3.85718i	0.340922	+	0.162850i
$562$	32.1838	−	55.7439i	1.35759	−	2.35141i
$563$	14.3426	−	24.8422i	0.604470	−	1.04697i	−0.387665	−	0.921800i	$-0.626718\pi$
$563$	14.3426	−	24.8422i	0.604470	−	1.04697i	0.992135	−	0.125172i	$-0.0399483\pi$
$564$	88.9186	−	61.0375i	3.74415	−	2.57014i
$565$	7.61002	+	13.1809i	0.320156	+	0.554526i
$566$	45.2277			1.90106
$567$	7.88176	−	36.6697i	0.331003	−	1.53998i
$568$	−32.6548			−1.37017
$569$	−19.8640	−	34.4055i	−0.832744	−	1.44236i	−0.895854	−	0.444349i	$-0.853435\pi$
$569$	−19.8640	−	34.4055i	−0.832744	−	1.44236i	0.0631096	−	0.998007i	$-0.479898\pi$
$570$	−84.9548	+	58.3166i	−3.55837	+	2.44261i
$571$	−0.510112	+	0.883540i	−0.0213475	+	0.0369750i	−0.876502	−	0.481399i	$-0.840129\pi$
$571$	−0.510112	+	0.883540i	−0.0213475	+	0.0369750i	0.855154	+	0.518374i	$0.173462\pi$
$572$	10.5162	−	18.2145i	0.439702	−	0.761587i
$573$	4.06195	+	1.94029i	0.169690	+	0.0810568i
$574$	16.8124	+	29.1200i	0.701738	+	1.21545i
$575$	5.21104			0.217316
$576$	44.7306	−	116.132i	1.86378	−	4.83882i
$577$	43.7661			1.82201			0.911003	−	0.412399i	$-0.135309\pi$
$577$	43.7661			1.82201			0.911003	+	0.412399i	$0.135309\pi$
$578$	18.2478	+	31.6061i	0.759007	+	1.31464i
$579$	1.48730	+	19.0366i	0.0618101	+	0.791133i
$580$	65.1834	−	112.901i	2.70659	−	4.68796i
$581$	−16.1006	+	27.8871i	−0.667967	+	1.15695i
$582$	6.84384	+	87.5971i	0.283686	+	3.63102i
$583$	−2.17225	−	3.76244i	−0.0899653	−	0.155824i
$584$	−116.274			−4.81144
$585$	12.2053	−	1.91887i	0.504626	−	0.0793356i
$586$	60.8810			2.51497
$587$	−13.8250	−	23.9456i	−0.570619	−	0.988341i	−0.996502	−	0.0835633i	$-0.973370\pi$
$587$	−13.8250	−	23.9456i	−0.570619	−	0.988341i	0.425883	−	0.904778i	$-0.359963\pi$
$588$	−92.7149	−	44.2876i	−3.82350	−	1.82639i
$589$	−4.26136	+	7.38089i	−0.175586	+	0.304124i
$590$	50.3976	−	87.2911i	2.07483	−	3.59372i
$591$	33.1456	−	22.7526i	1.36343	−	0.935915i
$592$	6.95419	+	12.0450i	0.285815	+	0.495047i
$593$	42.6352			1.75082			0.875409	−	0.483384i	$-0.160592\pi$
$593$	42.6352			1.75082			0.875409	+	0.483384i	$0.160592\pi$
$594$	−36.3584	−	10.8375i	−1.49180	−	0.444667i
$595$	24.1242			0.988994
$596$	24.8866	+	43.1048i	1.01939	+	1.76564i
$597$	−10.7798	+	7.39973i	−0.441189	+	0.302851i
$598$	−2.76257	+	4.78492i	−0.112970	+	0.195670i
$599$	7.15062	−	12.3852i	0.292166	−	0.506047i	−0.682155	−	0.731207i	$-0.738957\pi$
$599$	7.15062	−	12.3852i	0.292166	−	0.506047i	0.974322	+	0.225160i	$0.0722906\pi$
$600$	−59.2639	−	28.3089i	−2.41944	−	1.15570i
$601$	−19.6687	−	34.0672i	−0.802304	−	1.38963i	−0.918096	−	0.396357i	$-0.870274\pi$
$601$	−19.6687	−	34.0672i	−0.802304	−	1.38963i	0.115793	−	0.993273i	$-0.463059\pi$
$602$	53.8675			2.19548
$603$	1.88530	+	2.33359i	0.0767755	+	0.0950310i
$604$	37.2426			1.51538
$605$	−6.02923	−	10.4429i	−0.245123	−	0.424566i
$606$	2.53881	+	32.4952i	0.103132	+	1.32003i
$607$	4.67694	−	8.10070i	0.189831	−	0.328797i	−0.755363	−	0.655307i	$-0.772539\pi$
$607$	4.67694	−	8.10070i	0.189831	−	0.328797i	0.945194	+	0.326510i	$0.105873\pi$
$608$	−99.5470	+	172.420i	−4.03716	+	6.99257i
$609$	−4.35146	−	55.6961i	−0.176330	−	2.25692i
$610$	2.25570	+	3.90699i	0.0913308	+	0.158190i
$611$	15.2245			0.615917
$612$	21.2116	+	26.2552i	0.857427	+	1.06130i
$613$	−16.1028			−0.650384			−0.325192	−	0.945648i	$-0.605429\pi$
$613$	−16.1028			−0.650384			−0.325192	+	0.945648i	$0.605429\pi$
$614$	42.4127	+	73.4609i	1.71164	+	2.96464i
$615$	13.3592	+	6.38136i	0.538696	+	0.257321i
$616$	−56.6241	+	98.0759i	−2.28145	+	3.95159i
$617$	−2.53512	+	4.39096i	−0.102060	+	0.176773i	−0.912533	−	0.409002i	$-0.865877\pi$
$617$	−2.53512	+	4.39096i	−0.102060	+	0.176773i	0.810473	+	0.585776i	$0.199210\pi$
$618$	1.17287	−	0.805107i	0.0471797	−	0.0323861i
$619$	18.3804	+	31.8358i	0.738772	+	1.27959i	0.953049	+	0.302817i	$0.0979271\pi$
$619$	18.3804	+	31.8358i	0.738772	+	1.27959i	−0.214277	+	0.976773i	$0.568740\pi$
$620$	−19.7400			−0.792779
$621$	7.07744	+	2.10960i	0.284008	+	0.0846551i
$622$	−14.8008			−0.593457
$623$	1.46434	+	2.53632i	0.0586677	+	0.101615i
$624$	34.5511	−	23.7173i	1.38315	−	0.949453i
$625$	14.9447	−	25.8850i	0.597787	−	1.03540i
$626$	33.3280	−	57.7259i	1.33206	−	2.30719i
$627$	29.8649	+	14.2657i	1.19269	+	0.569718i
$628$	34.6272	+	59.9760i	1.38177	+	2.39330i
$629$	−1.58127			−0.0630492
$630$	−101.035	+	15.8844i	−4.02533	+	0.632849i
$631$	5.68575			0.226346			0.113173	−	0.993575i	$-0.463899\pi$
$631$	5.68575			0.226346			0.113173	+	0.993575i	$0.463899\pi$
$632$	4.38080	+	7.58777i	0.174259	+	0.301825i
$633$	−0.810751	−	10.3771i	−0.0322245	−	0.412454i
$634$	23.1758	−	40.1416i	0.920428	−	1.59423i
$635$	18.1085	−	31.3649i	0.718615	−	1.24468i
$636$	−1.27636	−	16.3367i	−0.0506110	−	0.647792i
$637$	−7.25209	−	12.5610i	−0.287338	−	0.497684i
$638$	−56.5093			−2.23722
$639$	−3.40465	+	8.83930i	−0.134686	+	0.349677i
$640$	−178.165			−7.04258
$641$	16.9946	+	29.4356i	0.671248	+	1.16264i	0.977550	+	0.210702i	$0.0675749\pi$
$641$	16.9946	+	29.4356i	0.671248	+	1.16264i	−0.306302	+	0.951934i	$0.599092\pi$
$642$	−21.5664	−	10.3017i	−0.851158	−	0.406577i
$643$	−12.6418	+	21.8963i	−0.498546	+	0.863507i	−0.999999	−	0.00167839i	$-0.999466\pi$
$643$	−12.6418	+	21.8963i	−0.498546	+	0.863507i	0.501453	+	0.865185i	$0.332799\pi$
$644$	16.9454	−	29.3503i	0.667743	−	1.15657i
$645$	19.5542	−	13.4229i	0.769947	−	0.528524i
$646$	−19.8688	−	34.4138i	−0.781728	−	1.35399i
$647$	29.3207			1.15271			0.576357	−	0.817198i	$-0.304474\pi$
$647$	29.3207			1.15271			0.576357	+	0.817198i	$0.304474\pi$
$648$	−69.0296	−	62.4399i	−2.71174	−	2.45287i
$649$	−32.3748			−1.27082
$650$	−7.12662	−	12.3437i	−0.279529	−	0.484158i
$651$	−6.97414	+	4.78735i	−0.273338	+	0.187631i
$652$	−2.20656	+	3.82188i	−0.0864157	+	0.149676i
$653$	−6.44699	+	11.1665i	−0.252290	+	0.436980i	−0.964156	−	0.265336i	$-0.914517\pi$
$653$	−6.44699	+	11.1665i	−0.252290	+	0.436980i	0.711866	+	0.702316i	$0.247850\pi$
$654$	68.4840	+	32.7131i	2.67794	+	1.27918i
$655$	2.20375	+	3.81701i	0.0861077	+	0.149143i
$656$	50.2180			1.96068
$657$	−12.1229	+	31.4740i	−0.472959	+	1.22792i
$658$	−126.028			−4.91309
$659$	14.9952	+	25.9724i	0.584129	+	1.01174i	0.994983	+	0.100040i	$0.0318971\pi$
$659$	14.9952	+	25.9724i	0.584129	+	1.01174i	−0.410854	+	0.911701i	$0.634770\pi$
$660$	5.97103	+	76.4258i	0.232422	+	2.97487i
$661$	−3.31232	+	5.73711i	−0.128834	+	0.223148i	−0.923225	−	0.384259i	$-0.874457\pi$
$661$	−3.31232	+	5.73711i	−0.128834	+	0.223148i	0.794391	+	0.607407i	$0.207790\pi$
$662$	44.2084	−	76.5713i	1.71821	−	2.97603i
$663$	0.371121	+	4.75013i	0.0144131	+	0.184480i
$664$	39.9561	+	69.2060i	1.55060	+	2.68571i
$665$	89.2230			3.45992
$666$	6.62254	−	1.04117i	0.256618	−	0.0403447i
$667$	11.0000			0.425920
$668$	34.7489	+	60.1868i	1.34447	+	2.32870i
$669$	−8.94780	−	4.27414i	−0.345942	−	0.165248i
$670$	4.09025	−	7.08453i	0.158020	−	0.273699i
$671$	0.724518	−	1.25490i	0.0279697	−	0.0484449i
$672$	−162.919	+	111.834i	−6.28472	+	4.31410i
$673$	−9.88007	−	17.1128i	−0.380849	−	0.659650i	0.610335	−	0.792143i	$-0.291035\pi$
$673$	−9.88007	−	17.1128i	−0.380849	−	0.659650i	−0.991184	+	0.132494i	$0.957702\pi$
$674$	−1.54154			−0.0593779
$675$	−13.8419	+	13.0905i	−0.532773	+	0.503855i
$676$	−63.1852			−2.43020
$677$	−22.8990	−	39.6621i	−0.880078	−	1.52434i	−0.851253	−	0.524756i	$-0.824157\pi$
$677$	−22.8990	−	39.6621i	−0.880078	−	1.52434i	−0.0288253	−	0.999584i	$-0.509177\pi$
$678$	20.5153	−	14.0826i	0.787886	−	0.540839i
$679$	38.0394	−	65.8862i	1.45982	−	2.52848i
$680$	29.9338	−	51.8469i	1.14791	−	1.98824i
$681$	−1.86081	−	0.888860i	−0.0713062	−	0.0340612i
$682$	4.27829	+	7.41022i	0.163824	+	0.283752i
$683$	−41.7899			−1.59905			−0.799524	−	0.600634i	$-0.794915\pi$
$683$	−41.7899			−1.59905			−0.799524	+	0.600634i	$0.794915\pi$
$684$	78.4508	+	97.1047i	2.99964	+	3.71289i
$685$	9.44693			0.360949
$686$	19.5005	+	33.7759i	0.744533	+	1.28957i
$687$	2.92287	+	37.4110i	0.111514	+	1.42732i
$688$	40.2250	−	69.6717i	1.53356	−	2.65621i
$689$	1.15656	−	2.00323i	0.0440615	−	0.0763168i
$690$	−1.56858	−	20.0769i	−0.0597148	−	0.764315i
$691$	10.2277	+	17.7148i	0.389079	+	0.673904i	0.992326	−	0.123650i	$-0.0394601\pi$
$691$	10.2277	+	17.7148i	0.389079	+	0.673904i	−0.603247	+	0.797554i	$0.706127\pi$
$692$	99.1793			3.77023
$693$	20.6443	+	25.5531i	0.784213	+	0.970682i
$694$	−1.56082			−0.0592478
$695$	−6.68981	−	11.5871i	−0.253759	−	0.439523i
$696$	−125.100	−	59.7570i	−4.74189	−	2.26508i
$697$	−2.85469	+	4.94446i	−0.108129	+	0.187285i
$698$	26.8299	−	46.4707i	1.01553	−	1.75894i
$699$	−10.3246	+	7.08725i	−0.390512	+	0.268064i
$700$	43.7141	+	75.7151i	1.65224	+	2.86176i
$701$	−33.9827			−1.28351			−0.641754	−	0.766910i	$-0.721793\pi$
$701$	−33.9827			−1.28351			−0.641754	+	0.766910i	$0.721793\pi$
$702$	−4.68199	−	19.6498i	−0.176710	−	0.741632i
$703$	−5.84830			−0.220573
$704$	54.4985	+	94.3942i	2.05399	+	3.55762i
$705$	−45.7489	+	31.4040i	−1.72300	+	1.18274i
$706$	−18.5342	+	32.1022i	−0.697545	+	1.20818i
$707$	14.1112	−	24.4413i	0.530706	−	0.919210i
$708$	−110.185	−	52.6326i	−4.14101	−	1.97806i
$709$	24.9777	+	43.2627i	0.938058	+	1.62476i	0.769088	+	0.639142i	$0.220711\pi$
$709$	24.9777	+	43.2627i	0.938058	+	1.62476i	0.168969	+	0.985621i	$0.445956\pi$
$710$	25.8295			0.969362
$711$	2.51068	−	0.394720i	0.0941577	−	0.0148032i
$712$	7.26797			0.272379
$713$	−0.832802	−	1.44246i	−0.0311887	−	0.0540204i
$714$	−3.07213	−	39.3215i	−0.114972	−	1.47157i
$715$	−5.41060	+	9.37143i	−0.202345	+	0.350471i
$716$	52.1207	−	90.2757i	1.94784	−	3.37376i
$717$	1.84500	+	23.6150i	0.0689029	+	0.881916i
$718$	27.2842	+	47.2575i	1.01824	+	1.76364i
$719$	−14.5189			−0.541462			−0.270731	−	0.962655i	$-0.587265\pi$
$719$	−14.5189			−0.541462			−0.270731	+	0.962655i	$0.587265\pi$
$720$	−54.9020	+	142.539i	−2.04608	+	5.31212i
$721$	−1.23179			−0.0458744
$722$	−47.0859	−	81.5552i	−1.75236	−	3.03517i
$723$	20.4266	+	9.75729i	0.759675	+	0.362878i
$724$	−19.0108	+	32.9276i	−0.706530	+	1.22375i
$725$	−14.1883	+	24.5749i	−0.526940	+	0.912687i
$726$	−16.2538	+	11.1573i	−0.603235	+	0.414086i
$727$	0.00550881	+	0.00954154i	0.000204310	+	0.000353876i	0.866128	−	0.499823i	$-0.166602\pi$
$727$	0.00550881	+	0.00954154i	0.000204310	+	0.000353876i	−0.865923	+	0.500177i	$0.833268\pi$
$728$	−60.2964			−2.23473
$729$	−24.0989	+	12.1754i	−0.892553	+	0.450943i
$730$	91.9706			3.40399
$731$	4.57325	+	7.92109i	0.169148	+	0.292972i
$732$	4.50597	−	3.09309i	0.166546	−	0.114324i
$733$	4.20051	−	7.27549i	0.155149	−	0.268727i	−0.777964	−	0.628309i	$-0.783747\pi$
$733$	4.20051	−	7.27549i	0.155149	−	0.268727i	0.933113	+	0.359582i	$0.117081\pi$
$734$	−21.9538	+	38.0251i	−0.810329	+	1.40353i
$735$	47.7021	+	22.7861i	1.75952	+	0.840478i
$736$	−19.4546	−	33.6963i	−0.717106	−	1.24206i
$737$	−2.62753			−0.0967862
$738$	8.70013	−	22.5877i	0.320256	−	0.831464i
$739$	39.1032			1.43843			0.719217	−	0.694786i	$-0.244501\pi$
$739$	39.1032			1.43843			0.719217	+	0.694786i	$0.244501\pi$
$740$	−6.77282	−	11.7309i	−0.248974	−	0.431235i
$741$	1.37259	+	17.5683i	0.0504232	+	0.645388i
$742$	−9.57400	+	16.5827i	−0.351473	+	0.608769i
$743$	−16.3758	+	28.3638i	−0.600772	+	1.04057i	0.391933	+	0.919994i	$0.371807\pi$
$743$	−16.3758	+	28.3638i	−0.600772	+	1.04057i	−0.992704	+	0.120573i	$0.961527\pi$
$744$	1.63514	+	20.9289i	0.0599472	+	0.767289i
$745$	−12.8042	−	22.1776i	−0.469111	−	0.812524i
$746$	54.1560			1.98279
$747$	22.8992	−	3.60014i	0.837837	−	0.131722i
$748$	−29.5623			−1.08091
$749$	10.3474	+	17.9222i	0.378085	+	0.654862i
$750$	−17.0497	−	8.14422i	−0.622567	−	0.297385i
$751$	13.1938	−	22.8523i	0.481448	−	0.833892i	−0.518326	−	0.855183i	$-0.673444\pi$
$751$	13.1938	−	22.8523i	0.481448	−	0.833892i	0.999773	+	0.0212915i	$0.00677781\pi$
$752$	−94.1101	+	163.003i	−3.43184	+	5.94412i
$753$	−20.3307	+	13.9559i	−0.740893	+	0.508581i
$754$	−15.0435	−	26.0562i	−0.547853	−	0.948909i
$755$	−19.1614			−0.697356
$756$	28.7190	+	120.530i	1.04450	+	4.38364i
$757$	13.4900			0.490304			0.245152	−	0.969485i	$-0.421162\pi$
$757$	13.4900			0.490304			0.245152	+	0.969485i	$0.421162\pi$
$758$	32.4980	+	56.2881i	1.18038	+	2.04448i
$759$	−5.33272	+	3.66061i	−0.193566	+	0.132872i
$760$	110.710	−	191.755i	4.01587	−	6.95570i
$761$	−0.727793	+	1.26057i	−0.0263825	+	0.0456958i	−0.878915	−	0.476978i	$-0.841732\pi$
$761$	−0.727793	+	1.26057i	−0.0263825	+	0.0456958i	0.852533	+	0.522674i	$0.175065\pi$
$762$	−53.4297	−	25.5220i	−1.93555	−	0.924565i
$763$	−32.8580	−	56.9117i	−1.18954	−	2.06034i
$764$	−14.8709			−0.538009
$765$	−10.9134	−	13.5084i	−0.394576	−	0.488397i
$766$	−40.3461			−1.45776
$767$	−8.61859	−	14.9278i	−0.311199	−	0.539013i
$768$	11.4957	+	147.138i	0.414814	+	5.30938i
$769$	19.3095	−	33.4450i	0.696319	−	1.20606i	−0.273416	−	0.961896i	$-0.588153\pi$
$769$	19.3095	−	33.4450i	0.696319	−	1.20606i	0.969734	−	0.244163i	$-0.0785133\pi$
$770$	44.7888	−	77.5765i	1.61408	−	2.79566i
$771$	−0.851724	−	10.9016i	−0.0306741	−	0.392610i
$772$	−31.5393	−	54.6277i	−1.13513	−	1.96609i
$773$	6.16428			0.221714			0.110857	−	0.993836i	$-0.464640\pi$
$773$	6.16428			0.221714			0.110857	+	0.993836i	$0.464640\pi$
$774$	−24.3689	−	30.1633i	−0.875922	−	1.08420i
$775$	4.29676			0.154344
$776$	−94.4003	−	163.506i	−3.38877	−	5.86953i
$777$	−5.23780	−	2.50197i	−0.187905	−	0.0897576i
$778$	−10.3380	+	17.9060i	−0.370636	+	0.641960i
$779$	−10.5580	+	18.2871i	−0.378281	+	0.655202i
$780$	−33.6500	+	23.0988i	−1.20486	+	0.827069i
$781$	−4.14813	−	7.18477i	−0.148432	−	0.257091i
$782$	7.76597			0.277711
$783$	−29.2187	+	27.6327i	−1.04419	+	0.987514i
$784$	179.315			6.40410
$785$	−17.8158	−	30.8579i	−0.635873	−	1.10136i
$786$	5.94094	−	4.07811i	0.211906	−	0.145462i
$787$	−15.8599	+	27.4701i	−0.565343	+	0.979203i	0.431674	+	0.902030i	$0.357923\pi$
$787$	−15.8599	+	27.4701i	−0.565343	+	0.979203i	−0.997018	+	0.0771738i	$0.975410\pi$
$788$	−66.4055	+	115.018i	−2.36560	+	4.09734i
$789$	−31.9865	−	15.2792i	−1.13875	−	0.543953i
$790$	−3.46515	−	6.00181i	−0.123284	−	0.213535i
$791$	−21.5460			−0.766088
$792$	80.5339	−	12.6613i	2.86165	−	0.449899i
$793$	0.771505			0.0273970
$794$	−45.3866	−	78.6118i	−1.61071	−	2.78983i
$795$	0.656692	+	8.40528i	0.0232905	+	0.298105i
$796$	21.5968	−	37.4068i	0.765480	−	1.32585i
$797$	10.7113	−	18.5524i	0.379412	−	0.657161i	−0.611565	−	0.791195i	$-0.709460\pi$
$797$	10.7113	−	18.5524i	0.379412	−	0.657161i	0.990977	+	0.134033i	$0.0427929\pi$
$798$	−11.3622	−	145.430i	−0.402219	−	5.14817i
$799$	−10.6995	−	18.5321i	−0.378522	−	0.655620i
$800$	100.374			3.54876
$801$	0.757771	−	1.96736i	0.0267745	−	0.0695132i
$802$	106.155			3.74846
$803$	−14.7702	−	25.5827i	−0.521229	−	0.902795i
$804$	−8.94259	−	4.27165i	−0.315381	−	0.150650i
$805$	−8.71848	+	15.1009i	−0.307286	+	0.532235i
$806$	−2.27788	+	3.94540i	−0.0802349	+	0.138971i
$807$	22.2616	−	15.2813i	0.783647	−	0.537928i
$808$	−35.0190	−	60.6547i	−1.23196	−	2.13382i
$809$	−19.5382			−0.686925			−0.343462	−	0.939166i	$-0.611600\pi$
$809$	−19.5382			−0.686925			−0.343462	+	0.939166i	$0.611600\pi$
$810$	54.6013	+	49.3890i	1.91849	+	1.73535i
$811$	36.0551			1.26607			0.633033	−	0.774125i	$-0.281810\pi$
$811$	36.0551			1.26607			0.633033	+	0.774125i	$0.281810\pi$
$812$	92.2759	+	159.827i	3.23825	+	5.60881i
$813$	11.9961	−	8.23460i	0.420720	−	0.288800i
$814$	−2.93577	+	5.08491i	−0.102899	+	0.178226i
$815$	1.13528	−	1.96637i	0.0397673	−	0.0688789i
$816$	−53.1521	−	25.3894i	−1.86069	−	0.888807i
$817$	16.9141	+	29.2961i	0.591750	+	1.02494i
$818$	−94.9885			−3.32119
$819$	−6.28661	+	16.3216i	−0.219672	+	0.570322i
$820$	−48.9083			−1.70795
$821$	−1.11986	−	1.93966i	−0.0390835	−	0.0676946i	0.845822	−	0.533465i	$-0.179110\pi$
$821$	−1.11986	−	1.93966i	−0.0390835	−	0.0676946i	−0.884905	+	0.465771i	$0.845777\pi$
$822$	−1.20304	−	15.3981i	−0.0419607	−	0.537072i
$823$	0.600352	−	1.03984i	0.0209270	−	0.0362466i	−0.855372	−	0.518014i	$-0.826672\pi$
$823$	0.600352	−	1.03984i	0.0209270	−	0.0362466i	0.876299	+	0.481767i	$0.160005\pi$
$824$	−1.52844	+	2.64733i	−0.0532457	+	0.0922242i
$825$	−1.29970	−	16.6354i	−0.0452497	−	0.579170i
$826$	71.3446	+	123.572i	2.48239	+	4.29963i
$827$	−3.42547			−0.119115			−0.0595576	−	0.998225i	$-0.518969\pi$
$827$	−3.42547			−0.119115			−0.0595576	+	0.998225i	$0.518969\pi$
$828$	−24.1007	+	3.78903i	−0.837557	+	0.131678i
$829$	−18.5392			−0.643892			−0.321946	−	0.946758i	$-0.604337\pi$
$829$	−18.5392			−0.643892			−0.321946	+	0.946758i	$0.604337\pi$
$830$	−31.6046	−	54.7408i	−1.09701	−	1.90008i
$831$	24.9095	+	11.8986i	0.864100	+	0.412759i
$832$	−29.0165	+	50.2580i	−1.00597	+	1.74238i
$833$	−10.1933	+	17.6553i	−0.353177	+	0.611721i
$834$	−18.0346	+	12.3797i	−0.624487	+	0.428674i
$835$	−17.8784	−	30.9663i	−0.618708	−	1.07163i
$836$	−109.336			−3.78147
$837$	5.83569	+	1.73946i	0.201711	+	0.0601247i
$838$	−5.88844			−0.203413
$839$	−16.9726	−	29.3974i	−0.585959	−	1.01491i	−0.994755	−	0.102285i	$-0.967385\pi$
$839$	−16.9726	−	29.3974i	−0.585959	−	1.01491i	0.408796	−	0.912626i	$-0.365949\pi$
$840$	181.188	−	124.375i	6.25158	−	4.29135i
$841$	−15.4500	+	26.7602i	−0.532759	+	0.922765i
$842$	−20.4707	+	35.4562i	−0.705465	+	1.22190i
$843$	36.2025	+	17.2930i	1.24688	+	0.595603i
$844$	17.1926	+	29.7784i	0.591793	+	1.02502i
$845$	32.5090			1.11834
$846$	57.0133	+	70.5699i	1.96016	+	2.42624i
$847$	17.0704			0.586545
$848$	14.2986	+	24.7658i	0.491015	+	0.850462i
$849$	2.19581	+	28.1051i	0.0753599	+	0.964563i
$850$	−10.0169	+	17.3499i	−0.343578	+	0.595095i
$851$	0.571471	−	0.989816i	0.0195898	−	0.0339305i
$852$	−2.43734	−	31.1966i	−0.0835020	−	1.06878i
$853$	−9.12043	−	15.7970i	−0.312278	−	0.540881i	0.666578	−	0.745436i	$-0.267759\pi$
$853$	−9.12043	−	15.7970i	−0.312278	−	0.540881i	−0.978855	+	0.204555i	$0.934425\pi$
$854$	−6.38651			−0.218542
$855$	−40.3632	−	49.9607i	−1.38039	−	1.70862i
$856$	51.3570			1.75535
$857$	26.7908	+	46.4031i	0.915158	+	1.58510i	0.806670	+	0.591002i	$0.201268\pi$
$857$	26.7908	+	46.4031i	0.915158	+	1.58510i	0.108488	+	0.994098i	$0.465399\pi$
$858$	15.9641	+	7.62565i	0.545005	+	0.260335i
$859$	−15.1375	+	26.2190i	−0.516486	+	0.894579i	0.483331	+	0.875438i	$0.339427\pi$
$859$	−15.1375	+	26.2190i	−0.516486	+	0.894579i	−0.999817	+	0.0191418i	$0.993907\pi$
$860$	−39.1759	+	67.8547i	−1.33589	+	2.31382i
$861$	−17.2793	+	11.8612i	−0.588877	+	0.404230i
$862$	2.61404	+	4.52765i	0.0890346	+	0.154212i
$863$	45.4919			1.54856			0.774282	−	0.632841i	$-0.218111\pi$
$863$	45.4919			1.54856			0.774282	+	0.632841i	$0.218111\pi$
$864$	136.324	+	40.6346i	4.63784	+	1.38242i
$865$	−51.0281			−1.73501
$866$	−12.6448	−	21.9015i	−0.429689	−	0.744242i
$867$	−18.7545	+	12.8739i	−0.636935	+	0.437219i
$868$	13.9723	−	24.2008i	0.474252	−	0.821429i
$869$	−1.11298	+	1.92774i	−0.0377554	+	0.0653942i
$870$	98.9519	+	47.2669i	3.35479	+	1.60250i
$871$	−0.699483	−	1.21154i	−0.0237011	−	0.0410515i
$872$	−163.084			−5.52272
$873$	−54.1017	+	8.50569i	−1.83106	+	0.287874i
$874$	28.7224			0.971549
$875$	8.18030	+	14.1687i	0.276545	+	0.478989i
$876$	−8.67862	−	111.081i	−0.293223	−	3.75309i
$877$	17.9469	−	31.0849i	0.606022	−	1.04966i	−0.385867	−	0.922554i	$-0.626098\pi$
$877$	17.9469	−	31.0849i	0.606022	−	1.04966i	0.991889	−	0.127107i	$-0.0405690\pi$
$878$	31.9910	−	55.4101i	1.07965	−	1.87000i
$879$	2.95578	+	37.8322i	0.0996959	+	1.27605i
$880$	−66.8911	−	115.859i	−2.25490	−	3.90560i
$881$	−30.5617			−1.02965			−0.514825	−	0.857295i	$-0.672143\pi$
$881$	−30.5617			−1.02965			−0.514825	+	0.857295i	$0.672143\pi$
$882$	31.0658	−	80.6544i	1.04604	−	2.71577i
$883$	−15.0811			−0.507520			−0.253760	−	0.967267i	$-0.581667\pi$
$883$	−15.0811			−0.507520			−0.253760	+	0.967267i	$0.581667\pi$
$884$	−7.86989	−	13.6311i	−0.264693	−	0.458462i
$885$	56.6906	+	27.0797i	1.90563	+	0.910273i
$886$	38.9737	−	67.5044i	1.30935	−	2.26786i
$887$	21.3715	−	37.0166i	0.717585	−	1.24289i	−0.244369	−	0.969682i	$-0.578581\pi$
$887$	21.3715	−	37.0166i	0.717585	−	1.24289i	0.961954	−	0.273212i	$-0.0880860\pi$
$888$	−11.8763	+	8.15242i	−0.398544	+	0.273577i
$889$	25.6351	+	44.4013i	0.859773	+	1.48917i
$890$	−5.74885			−0.192702
$891$	4.96933	−	23.1197i	0.166479	−	0.774540i
$892$	32.7581			1.09682
$893$	−39.5721	−	68.5410i	−1.32423	−	2.29364i
$894$	−34.5180	+	23.6947i	−1.15446	+	0.792468i
$895$	−26.8163	+	46.4472i	−0.896369	+	1.55256i
$896$	126.108	−	218.426i	4.21298	−	7.29709i
$897$	−3.10753	−	1.48439i	−0.103757	−	0.0495623i
$898$	7.43593	+	12.8794i	0.248140	+	0.429792i
$899$	9.07001			0.302502
$900$	22.6213	−	58.7303i	0.754042	−	1.95768i
$901$	−3.25126			−0.108315
$902$	10.6000	+	18.3597i	0.352941	+	0.611312i
$903$	2.61527	+	33.4739i	0.0870308	+	1.11394i
$904$	−26.7348	+	46.3061i	−0.889187	+	1.54012i
$905$	9.78112	−	16.9414i	0.325135	−	0.563151i
$906$	2.44014	+	31.2324i	0.0810683	+	1.03763i
$907$	−9.27726	−	16.0687i	−0.308046	−	0.533552i	0.669889	−	0.742462i	$-0.266342\pi$
$907$	−9.27726	−	16.0687i	−0.308046	−	0.533552i	−0.977935	+	0.208910i	$0.933009\pi$
$908$	6.81244			0.226079
$909$	−20.0697	+	3.15529i	−0.665670	+	0.104654i
$910$	47.6935			1.58103
$911$	7.72150	+	13.3740i	0.255825	+	0.443101i	0.965119	−	0.261811i	$-0.0843197\pi$
$911$	7.72150	+	13.3740i	0.255825	+	0.443101i	−0.709295	+	0.704912i	$0.750986\pi$
$912$	−196.582	−	93.9025i	−6.50949	−	3.10942i
$913$	−10.1512	+	17.5824i	−0.335956	+	0.581893i
$914$	−25.7114	+	44.5334i	−0.850456	+	1.47303i
$915$	−2.31834	+	1.59141i	−0.0766419	+	0.0526103i
$916$	−61.9816	−	107.355i	−2.04793	−	3.54712i
$917$	−6.23942			−0.206044
$918$	−20.6284	+	19.5087i	−0.680838	+	0.643884i
$919$	−31.9172			−1.05285			−0.526426	−	0.850221i	$-0.676468\pi$
$919$	−31.9172			−1.05285			−0.526426	+	0.850221i	$0.676468\pi$
$920$	21.6362	+	37.4750i	0.713324	+	1.23551i
$921$	−43.5904	+	29.9223i	−1.43635	+	0.985973i
$922$	−47.2719	+	81.8774i	−1.55682	+	2.69649i
$923$	2.20858	−	3.82537i	0.0726962	−	0.125913i
$924$	−97.9226	−	46.7752i	−3.22142	−	1.53879i
$925$	1.47422	+	2.55343i	0.0484721	+	0.0839562i
$926$	−65.3176			−2.14647
$927$	0.557246	+	0.689747i	0.0183024	+	0.0226543i
$928$	211.879			6.95527
$929$	6.90510	+	11.9600i	0.226549	+	0.392394i	0.956783	−	0.290803i	$-0.0939224\pi$
$929$	6.90510	+	11.9600i	0.226549	+	0.392394i	−0.730234	+	0.683197i	$0.760589\pi$
$930$	−1.29337	−	16.5544i	−0.0424113	−	0.542840i
$931$	−37.6999	+	65.2981i	−1.23556	+	2.14006i
$932$	20.6848	−	35.8272i	0.677554	−	1.17356i
$933$	−0.718578	−	9.19738i	−0.0235252	−	0.301109i
$934$	−28.7857	−	49.8583i	−0.941897	−	1.63141i
$935$	15.2099			0.497418
$936$	27.2773	+	33.7632i	0.891585	+	1.10358i
$937$	−9.60647			−0.313830			−0.156915	−	0.987612i	$-0.550155\pi$
$937$	−9.60647			−0.313830			−0.156915	+	0.987612i	$0.550155\pi$
$938$	5.79031	+	10.0291i	0.189060	+	0.327462i
$939$	37.4897	+	17.9079i	1.22343	+	0.584401i
$940$	91.6557	−	158.752i	2.98948	−	5.17793i
$941$	−9.48336	+	16.4257i	−0.309149	+	0.535461i	−0.978176	−	0.207776i	$-0.933377\pi$
$941$	−9.48336	+	16.4257i	−0.309149	+	0.535461i	0.669028	+	0.743237i	$0.266711\pi$
$942$	−48.0284	+	32.9687i	−1.56485	+	1.07418i
$943$	−2.06337	−	3.57386i	−0.0671926	−	0.116381i
$944$	213.103			6.93591
$945$	−14.7760	−	62.0132i	−0.480664	−	2.01729i
$946$	33.9627			1.10422
$947$	−2.05323	−	3.55630i	−0.0667210	−	0.115564i	0.830735	−	0.556668i	$-0.187920\pi$
$947$	−2.05323	−	3.55630i	−0.0667210	−	0.115564i	−0.897456	+	0.441104i	$0.854587\pi$
$948$	−6.92195	+	4.75152i	−0.224814	+	0.154322i
$949$	7.86405	−	13.6209i	0.255278	−	0.442154i
$950$	−37.0476	+	64.1683i	−1.20198	+	2.08189i
$951$	26.0697	+	12.4528i	0.845368	+	0.403811i
$952$	42.3754	+	73.3963i	1.37339	+	2.37879i
$953$	61.0975			1.97914			0.989571	−	0.144048i	$-0.0460121\pi$
$953$	61.0975			1.97914			0.989571	+	0.144048i	$0.0460121\pi$
$954$	13.6167	−	2.14077i	0.440856	−	0.0693099i
$955$	7.65111			0.247584
$956$	−39.1247	−	67.7659i	−1.26538	−	2.19171i
$957$	−2.74353	−	35.1156i	−0.0886857	−	1.13513i
$958$	9.73728	−	16.8655i	0.314597	−	0.544898i
$959$	−6.68671	+	11.5817i	−0.215925	+	0.373993i
$960$	−16.4755	−	210.876i	−0.531743	−	6.80600i
$961$	14.8133	+	25.6574i	0.477849	+	0.827658i
$962$	−3.12617			−0.100792
$963$	5.35457	−	13.9018i	0.172549	−	0.447979i
$964$	−74.7823			−2.40857
$965$	16.2271	+	28.1061i	0.522369	+	0.904769i
$966$	25.7241	+	12.2878i	0.827659	+	0.395352i
$967$	27.7231	−	48.0177i	0.891513	−	1.54415i	0.0534521	−	0.998570i	$-0.482978\pi$
$967$	27.7231	−	48.0177i	0.891513	−	1.54415i	0.838061	−	0.545576i	$-0.183689\pi$
$968$	21.1813	−	36.6871i	0.680794	−	1.17917i
$969$	20.4205	−	14.0175i	0.656002	−	0.450308i
$970$	74.6692	+	129.331i	2.39748	+	4.15256i
$971$	−57.5902			−1.84816			−0.924078	−	0.382203i	$-0.875165\pi$
$971$	−57.5902			−1.84816			−0.924078	+	0.382203i	$0.875165\pi$
$972$	54.4992	−	70.6074i	1.74806	−	2.26473i
$973$	18.9407			0.607210
$974$	−36.8054	−	63.7488i	−1.17932	−	2.04264i
$975$	7.32451	−	5.02785i	0.234572	−	0.161020i
$976$	−4.76905	+	8.26024i	−0.152654	+	0.264404i
$977$	−2.14852	+	3.72134i	−0.0687372	+	0.119056i	−0.898346	−	0.439289i	$-0.855230\pi$
$977$	−2.14852	+	3.72134i	−0.0687372	+	0.119056i	0.829608	+	0.558346i	$0.188564\pi$
$978$	−3.34968	−	1.60006i	−0.107111	−	0.0511643i
$979$	0.923247	+	1.59911i	0.0295071	+	0.0511078i
$980$	−174.638			−5.57862
$981$	−17.0034	+	44.1450i	−0.542877	+	1.40944i
$982$	0.806319			0.0257307
$983$	14.1021	+	24.4256i	0.449787	+	0.779054i	0.998372	−	0.0570408i	$-0.0181665\pi$
$983$	14.1021	+	24.4256i	0.449787	+	0.779054i	−0.548585	+	0.836095i	$0.684833\pi$
$984$	4.05126	+	51.8538i	0.129150	+	1.65304i
$985$	34.1659	−	59.1770i	1.08862	−	1.88554i
$986$	−21.1447	+	36.6237i	−0.673385	+	1.16634i
$987$	−6.11867	−	78.3154i	−0.194759	−	2.49281i
$988$	−29.1067	−	50.4143i	−0.926008	−	1.60389i
$989$	−6.61109			−0.210221
$990$	−63.7010	+	10.0149i	−2.02455	+	0.318294i
$991$	−38.5736			−1.22533			−0.612665	−	0.790343i	$-0.709903\pi$
$991$	−38.5736			−1.22533			−0.612665	+	0.790343i	$0.709903\pi$
$992$	−16.0413	−	27.7843i	−0.509311	−	0.882152i
$993$	49.7286	+	23.7541i	1.57809	+	0.753815i
$994$	−18.2825	+	31.6663i	−0.579887	+	1.00439i
$995$	−11.1116	+	19.2459i	−0.352263	+	0.610137i
$996$	−63.1332	+	43.3373i	−2.00045	+	1.37319i
$997$	15.5526	+	26.9379i	0.492556	+	0.853132i	0.999963	−	0.00857440i	$-0.00272935\pi$
$997$	15.5526	+	26.9379i	0.492556	+	0.853132i	−0.507407	+	0.861706i	$0.669396\pi$
$998$	−49.7135			−1.57365
$999$	0.968524	+	4.06478i	0.0306427	+	0.128604i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	603.2.e.a.202.1	✓	66
9.4	even	3		5427.2.a.p.1.33		33
9.5	odd	6		5427.2.a.o.1.1		33
9.7	even	3	inner	603.2.e.a.403.1	yes	66

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
603.2.e.a.202.1	✓	66	1.1	even	1	trivial
603.2.e.a.403.1	yes	66	9.7	even	3	inner
5427.2.a.o.1.1		33	9.5	odd	6
5427.2.a.p.1.33		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)

\(f(q)\)	\(=\)	\(q+(-1.38941 - 2.40652i) q^{2} +(1.42799 - 0.980231i) q^{3} +(-2.86090 + 4.95522i) q^{4} +(1.47194 - 2.54948i) q^{5} +(-4.34300 - 2.07454i) q^{6} +(2.08373 + 3.60913i) q^{7} +10.3422 q^{8} +(1.07829 - 2.79951i) q^{9} +O(q^{10})\)	\(q+(-1.38941 - 2.40652i) q^{2} +(1.42799 - 0.980231i) q^{3} +(-2.86090 + 4.95522i) q^{4} +(1.47194 - 2.54948i) q^{5} +(-4.34300 - 2.07454i) q^{6} +(2.08373 + 3.60913i) q^{7} +10.3422 q^{8} +(1.07829 - 2.79951i) q^{9} -8.18051 q^{10} +(1.31376 + 2.27550i) q^{11} +(0.771937 + 9.88034i) q^{12} +(-0.699483 + 1.21154i) q^{13} +(5.79031 - 10.0291i) q^{14} +(-0.397164 - 5.08347i) q^{15} +(-8.64769 - 14.9782i) q^{16} +1.96634 q^{17} +(-8.23528 + 1.29472i) q^{18} +7.27250 q^{19} +(8.42216 + 14.5876i) q^{20} +(6.51333 + 3.11125i) q^{21} +(3.65070 - 6.32320i) q^{22} +(-0.710637 + 1.23086i) q^{23} +(14.7685 - 10.1377i) q^{24} +(-1.83323 - 3.17525i) q^{25} +3.88746 q^{26} +(-1.20438 - 5.05465i) q^{27} -23.8454 q^{28} +(-3.86975 - 6.70261i) q^{29} +(-11.6817 + 8.01879i) q^{30} +(-0.585955 + 1.01490i) q^{31} +(-13.6881 + 23.7085i) q^{32} +(4.10656 + 1.96160i) q^{33} +(-2.73205 - 4.73205i) q^{34} +12.2685 q^{35} +(10.7873 + 13.3523i) q^{36} -0.804167 q^{37} +(-10.1045 - 17.5014i) q^{38} +(0.188737 + 2.41572i) q^{39} +(15.2231 - 26.3672i) q^{40} +(-1.45178 + 2.51455i) q^{41} +(-1.56236 - 19.9973i) q^{42} +(2.32576 + 4.02834i) q^{43} -15.0342 q^{44} +(-5.55012 - 6.86981i) q^{45} +3.94945 q^{46} +(-5.44134 - 9.42468i) q^{47} +(-27.0309 - 12.9120i) q^{48} +(-5.18389 + 8.97877i) q^{49} +(-5.09420 + 8.82342i) q^{50} +(2.80791 - 1.92747i) q^{51} +(-4.00230 - 6.93219i) q^{52} -1.65345 q^{53} +(-10.4907 + 9.92133i) q^{54} +7.73514 q^{55} +(21.5504 + 37.3263i) q^{56} +(10.3850 - 7.12873i) q^{57} +(-10.7533 + 18.6253i) q^{58} +(-6.16069 + 10.6706i) q^{59} +(26.3260 + 12.5753i) q^{60} +(-0.275741 - 0.477598i) q^{61} +3.25652 q^{62} +(12.3507 - 1.94174i) q^{63} +41.4828 q^{64} +(2.05920 + 3.56663i) q^{65} +(-0.985043 - 12.6080i) q^{66} +(-0.500000 + 0.866025i) q^{67} +(-5.62551 + 9.74366i) q^{68} +(0.191746 + 2.45424i) q^{69} +(-17.0460 - 29.5245i) q^{70} -3.15744 q^{71} +(11.1519 - 28.9531i) q^{72} -11.2427 q^{73} +(1.11731 + 1.93525i) q^{74} +(-5.73031 - 2.73722i) q^{75} +(-20.8059 + 36.0369i) q^{76} +(-5.47507 + 9.48309i) q^{77} +(5.55125 - 3.81061i) q^{78} +(0.423586 + 0.733672i) q^{79} -50.9156 q^{80} +(-6.67456 - 6.03740i) q^{81} +8.06842 q^{82} +(3.86341 + 6.69162i) q^{83} +(-34.0509 + 23.3740i) q^{84} +(2.89434 - 5.01315i) q^{85} +(6.46286 - 11.1940i) q^{86} +(-12.0961 - 5.77799i) q^{87} +(13.5872 + 23.5337i) q^{88} +0.702750 q^{89} +(-8.82099 + 22.9014i) q^{90} -5.83014 q^{91} +(-4.06612 - 7.04273i) q^{92} +(0.158104 + 2.02364i) q^{93} +(-15.1205 + 26.1894i) q^{94} +(10.7047 - 18.5411i) q^{95} +(3.69337 + 47.2730i) q^{96} +(-9.12770 - 15.8096i) q^{97} +28.8101 q^{98} +(7.78693 - 1.22424i) 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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