LMFDB - Embedded newform 350.2.m.a.29.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [350,2,Mod(29,350)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(350, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([1, 0]))

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

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

chi := DirichletCharacter("350.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 350 = 2 \cdot 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	350.m (of order $10$, degree $4$, 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:	$2.79476407074$
Analytic rank:	$0$
Dimension:	$24$
Relative dimension:	$6$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			29.6
Character	$\chi$	$=$	350.29
Dual form			350.2.m.a.169.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.951057 + 0.309017i) q^{2} +(1.41709 - 1.95046i) q^{3} +(0.809017 + 0.587785i) q^{4} +(-0.0248168 - 2.23593i) q^{5} +(1.95046 - 1.41709i) q^{6} -1.00000i q^{7} +(0.587785 + 0.809017i) q^{8} +(-0.869087 - 2.67478i) q^{9} +O(q^{10})$	\(q+(0.951057 + 0.309017i) q^{2} +(1.41709 - 1.95046i) q^{3} +(0.809017 + 0.587785i) q^{4} +(-0.0248168 - 2.23593i) q^{5} +(1.95046 - 1.41709i) q^{6} -1.00000i q^{7} +(0.587785 + 0.809017i) q^{8} +(-0.869087 - 2.67478i) q^{9} +(0.667338 - 2.13416i) q^{10} +(-1.92661 + 5.92951i) q^{11} +(2.29290 - 0.745008i) q^{12} +(-0.224686 + 0.0730048i) q^{13} +(0.309017 - 0.951057i) q^{14} +(-4.39625 - 3.12011i) q^{15} +(0.309017 + 0.951057i) q^{16} +(-2.50709 - 3.45072i) q^{17} -2.81243i q^{18} +(-0.0269853 + 0.0196060i) q^{19} +(1.29417 - 1.82349i) q^{20} +(-1.95046 - 1.41709i) q^{21} +(-3.66464 + 5.04394i) q^{22} +(6.11894 + 1.98816i) q^{23} +2.41090 q^{24} +(-4.99877 + 0.110977i) q^{25} -0.236248 q^{26} +(0.430090 + 0.139745i) q^{27} +(0.587785 - 0.809017i) q^{28} +(6.08625 + 4.42192i) q^{29} +(-3.21692 - 4.32592i) q^{30} +(-0.734656 + 0.533759i) q^{31} +1.00000i q^{32} +(8.83506 + 12.1604i) q^{33} +(-1.31806 - 4.05656i) q^{34} +(-2.23593 + 0.0248168i) q^{35} +(0.869087 - 2.67478i) q^{36} +(-5.22649 + 1.69819i) q^{37} +(-0.0317232 + 0.0103075i) q^{38} +(-0.176007 + 0.541694i) q^{39} +(1.79432 - 1.33432i) q^{40} +(0.968847 + 2.98180i) q^{41} +(-1.41709 - 1.95046i) q^{42} -7.86299i q^{43} +(-5.04394 + 3.66464i) q^{44} +(-5.95904 + 2.00960i) q^{45} +(5.20508 + 3.78171i) q^{46} +(2.84426 - 3.91479i) q^{47} +(2.29290 + 0.745008i) q^{48} -1.00000 q^{49} +(-4.78840 - 1.43916i) q^{50} -10.2833 q^{51} +(-0.224686 - 0.0730048i) q^{52} +(-0.0640418 + 0.0881460i) q^{53} +(0.365857 + 0.265810i) q^{54} +(13.3058 + 4.16062i) q^{55} +(0.809017 - 0.587785i) q^{56} +0.0804171i q^{57} +(4.42192 + 6.08625i) q^{58} +(-1.10561 - 3.40271i) q^{59} +(-1.72269 - 5.10827i) q^{60} +(-4.02947 + 12.4014i) q^{61} +(-0.863640 + 0.280614i) q^{62} +(-2.67478 + 0.869087i) q^{63} +(-0.309017 + 0.951057i) q^{64} +(0.168810 + 0.500570i) q^{65} +(4.64487 + 14.2954i) q^{66} +(4.52933 + 6.23409i) q^{67} -4.26532i q^{68} +(12.5489 - 9.11732i) q^{69} +(-2.13416 - 0.667338i) q^{70} +(-2.17221 - 1.57820i) q^{71} +(1.65310 - 2.27530i) q^{72} +(-8.97565 - 2.91637i) q^{73} -5.49546 q^{74} +(-6.86725 + 9.90715i) q^{75} -0.0333557 q^{76} +(5.92951 + 1.92661i) q^{77} +(-0.334785 + 0.460792i) q^{78} +(-10.2311 - 7.43331i) q^{79} +(2.11883 - 0.714543i) q^{80} +(7.70794 - 5.60015i) q^{81} +3.13525i q^{82} +(-4.73070 - 6.51125i) q^{83} +(-0.745008 - 2.29290i) q^{84} +(-7.65335 + 5.69132i) q^{85} +(2.42980 - 7.47815i) q^{86} +(17.2495 - 5.60471i) q^{87} +(-5.92951 + 1.92661i) q^{88} +(-0.548317 + 1.68755i) q^{89} +(-6.28839 + 0.0697953i) q^{90} +(0.0730048 + 0.224686i) q^{91} +(3.78171 + 5.20508i) q^{92} +2.18930i q^{93} +(3.91479 - 2.84426i) q^{94} +(0.0445073 + 0.0598507i) q^{95} +(1.95046 + 1.41709i) q^{96} +(-10.4652 + 14.4042i) q^{97} +(-0.951057 - 0.309017i) q^{98} +17.5345 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q + 6 q^{4} + 10 q^{5} + 2 q^{6} + 8 q^{9}+O(q^{10}) $ 24 * q + 6 * q^4 + 10 * q^5 + 2 * q^6 + 8 * q^9	$ 24 q + 6 q^{4} + 10 q^{5} + 2 q^{6} + 8 q^{9} + 2 q^{11} + 10 q^{12} - 6 q^{14} + 20 q^{15} - 6 q^{16} - 22 q^{19} - 2 q^{21} - 10 q^{22} - 10 q^{23} + 8 q^{24} - 10 q^{25} - 4 q^{26} - 30 q^{27} - 12 q^{29} - 10 q^{30} + 20 q^{33} - 8 q^{36} + 10 q^{37} - 10 q^{38} - 48 q^{39} + 10 q^{40} + 42 q^{41} - 2 q^{44} - 40 q^{45} + 10 q^{46} + 30 q^{47} + 10 q^{48} - 24 q^{49} + 20 q^{50} - 52 q^{51} + 10 q^{53} + 4 q^{54} + 10 q^{55} + 6 q^{56} - 20 q^{58} - 10 q^{60} + 46 q^{61} - 20 q^{63} + 6 q^{64} + 10 q^{65} - 10 q^{66} + 10 q^{67} + 32 q^{71} + 30 q^{73} - 28 q^{74} - 10 q^{75} - 48 q^{76} + 20 q^{77} - 20 q^{78} - 44 q^{79} + 76 q^{81} + 50 q^{83} + 2 q^{84} - 50 q^{85} - 6 q^{86} - 20 q^{87} - 20 q^{88} - 4 q^{89} + 50 q^{90} - 6 q^{91} + 30 q^{92} - 6 q^{94} - 60 q^{95} + 2 q^{96} + 30 q^{97} + 56 q^{99}+O(q^{100}) $ 24 * q + 6 * q^4 + 10 * q^5 + 2 * q^6 + 8 * q^9 + 2 * q^11 + 10 * q^12 - 6 * q^14 + 20 * q^15 - 6 * q^16 - 22 * q^19 - 2 * q^21 - 10 * q^22 - 10 * q^23 + 8 * q^24 - 10 * q^25 - 4 * q^26 - 30 * q^27 - 12 * q^29 - 10 * q^30 + 20 * q^33 - 8 * q^36 + 10 * q^37 - 10 * q^38 - 48 * q^39 + 10 * q^40 + 42 * q^41 - 2 * q^44 - 40 * q^45 + 10 * q^46 + 30 * q^47 + 10 * q^48 - 24 * q^49 + 20 * q^50 - 52 * q^51 + 10 * q^53 + 4 * q^54 + 10 * q^55 + 6 * q^56 - 20 * q^58 - 10 * q^60 + 46 * q^61 - 20 * q^63 + 6 * q^64 + 10 * q^65 - 10 * q^66 + 10 * q^67 + 32 * q^71 + 30 * q^73 - 28 * q^74 - 10 * q^75 - 48 * q^76 + 20 * q^77 - 20 * q^78 - 44 * q^79 + 76 * q^81 + 50 * q^83 + 2 * q^84 - 50 * q^85 - 6 * q^86 - 20 * q^87 - 20 * q^88 - 4 * q^89 + 50 * q^90 - 6 * q^91 + 30 * q^92 - 6 * q^94 - 60 * q^95 + 2 * q^96 + 30 * q^97 + 56 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/350\mathbb{Z}\right)^\times$.

$n$	$101$	$127$
$\chi(n)$	$1$	$e\left(\frac{1}{10}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.951057	+	0.309017i	0.672499	+	0.218508i
$2$	0.951057	+	0.309017i	0.672499	+	0.218508i
$3$	1.41709	−	1.95046i	0.818157	−	1.12610i	−0.171856	−	0.985122i	$-0.554976\pi$
$3$	1.41709	−	1.95046i	0.818157	−	1.12610i	0.990013	−	0.140975i	$-0.0450236\pi$
$4$	0.809017	+	0.587785i	0.404508	+	0.293893i
$5$	−0.0248168	−	2.23593i	−0.0110984	−	0.999938i
$5$	−0.0248168	−	2.23593i	−0.0110984	−	0.999938i
$6$	1.95046	−	1.41709i	0.796271	−	0.578524i
$7$		−	1.00000i		−	0.377964i
$7$		−	1.00000i		−	0.377964i
$8$	0.587785	+	0.809017i	0.207813	+	0.286031i
$9$	−0.869087	−	2.67478i	−0.289696	−	0.891592i
$10$	0.667338	−	2.13416i	0.211031	−	0.674882i
$11$	−1.92661	+	5.92951i	−0.580896	+	1.78781i	0.0342662	+	0.999413i	$0.489091\pi$
$11$	−1.92661	+	5.92951i	−0.580896	+	1.78781i	−0.615162	+	0.788401i	$0.710909\pi$
$12$	2.29290	−	0.745008i	0.661903	−	0.215065i
$13$	−0.224686	+	0.0730048i	−0.0623166	+	0.0202479i	−0.340009	−	0.940422i	$-0.610430\pi$
$13$	−0.224686	+	0.0730048i	−0.0623166	+	0.0202479i	0.277693	+	0.960670i	$0.410430\pi$
$14$	0.309017	−	0.951057i	0.0825883	−	0.254181i
$15$	−4.39625	−	3.12011i	−1.13511	−	0.805609i
$16$	0.309017	+	0.951057i	0.0772542	+	0.237764i
$17$	−2.50709	−	3.45072i	−0.608060	−	0.836922i	0.388356	−	0.921509i	$-0.373043\pi$
$17$	−2.50709	−	3.45072i	−0.608060	−	0.836922i	−0.996416	+	0.0845869i	$0.973043\pi$
$18$		−	2.81243i		−	0.662895i
$19$	−0.0269853	+	0.0196060i	−0.00619086	+	0.00449792i	−0.590876	−	0.806762i	$-0.701218\pi$
$19$	−0.0269853	+	0.0196060i	−0.00619086	+	0.00449792i	0.584686	+	0.811260i	$0.301218\pi$
$20$	1.29417	−	1.82349i	0.289385	−	0.407745i
$21$	−1.95046	−	1.41709i	−0.425625	−	0.309234i
$22$	−3.66464	+	5.04394i	−0.781303	+	1.07537i
$23$	6.11894	+	1.98816i	1.27589	+	0.414561i	0.867130	−	0.498082i	$-0.165962\pi$
$23$	6.11894	+	1.98816i	1.27589	+	0.414561i	0.408758	+	0.912643i	$0.365962\pi$
$24$	2.41090			0.492122
$25$	−4.99877	+	0.110977i	−0.999754	+	0.0221954i
$26$	−0.236248			−0.0463321
$27$	0.430090	+	0.139745i	0.0827709	+	0.0268939i
$28$	0.587785	−	0.809017i	0.111081	−	0.152890i
$29$	6.08625	+	4.42192i	1.13019	+	0.821129i	0.985722	−	0.168380i	$-0.0538537\pi$
$29$	6.08625	+	4.42192i	1.13019	+	0.821129i	0.144466	+	0.989510i	$0.453854\pi$
$30$	−3.21692	−	4.32592i	−0.587326	−	0.789801i
$31$	−0.734656	+	0.533759i	−0.131948	+	0.0958660i	−0.651802	−	0.758389i	$-0.725987\pi$
$31$	−0.734656	+	0.533759i	−0.131948	+	0.0958660i	0.519853	+	0.854255i	$0.325987\pi$
$32$			1.00000i			0.176777i
$33$	8.83506	+	12.1604i	1.53799	+	2.11686i
$34$	−1.31806	−	4.05656i	−0.226045	−	0.695695i
$35$	−2.23593	+	0.0248168i	−0.377941	+	0.00419480i
$36$	0.869087	−	2.67478i	0.144848	−	0.445796i
$37$	−5.22649	+	1.69819i	−0.859230	+	0.279181i	−0.705307	−	0.708902i	$-0.749191\pi$
$37$	−5.22649	+	1.69819i	−0.859230	+	0.279181i	−0.153923	+	0.988083i	$0.549191\pi$
$38$	−0.0317232	+	0.0103075i	−0.00514617	+	0.00167209i
$39$	−0.176007	+	0.541694i	−0.0281837	+	0.0867404i
$40$	1.79432	−	1.33432i	0.283707	−	0.210975i
$41$	0.968847	+	2.98180i	0.151308	+	0.465679i	0.997768	−	0.0667733i	$-0.0212704\pi$
$41$	0.968847	+	2.98180i	0.151308	+	0.465679i	−0.846460	+	0.532453i	$0.821270\pi$
$42$	−1.41709	−	1.95046i	−0.218662	−	0.300962i
$43$		−	7.86299i		−	1.19909i	−0.800339	−	0.599547i	$-0.795347\pi$
$43$		−	7.86299i		−	1.19909i	0.800339	−	0.599547i	$-0.204653\pi$
$44$	−5.04394	+	3.66464i	−0.760402	+	0.552465i
$45$	−5.95904	+	2.00960i	−0.888322	+	0.299573i
$46$	5.20508	+	3.78171i	0.767448	+	0.557583i
$47$	2.84426	−	3.91479i	0.414878	−	0.571031i	−0.549521	−	0.835480i	$-0.685190\pi$
$47$	2.84426	−	3.91479i	0.414878	−	0.571031i	0.964400	+	0.264448i	$0.0851899\pi$
$48$	2.29290	+	0.745008i	0.330952	+	0.107533i
$49$	−1.00000			−0.142857
$50$	−4.78840	−	1.43916i	−0.677183	−	0.203528i
$51$	−10.2833			−1.43994
$52$	−0.224686	−	0.0730048i	−0.0311583	−	0.0101239i
$53$	−0.0640418	+	0.0881460i	−0.00879682	+	0.0121078i	−0.813393	−	0.581715i	$-0.802382\pi$
$53$	−0.0640418	+	0.0881460i	−0.00879682	+	0.0121078i	0.804596	+	0.593823i	$0.202382\pi$
$54$	0.365857	+	0.265810i	0.0497868	+	0.0361722i
$55$	13.3058	+	4.16062i	1.79415	+	0.561018i
$56$	0.809017	−	0.587785i	0.108109	−	0.0785461i
$57$			0.0804171i			0.0106515i
$58$	4.42192	+	6.08625i	0.580626	+	0.799163i
$59$	−1.10561	−	3.40271i	−0.143938	−	0.442995i	0.852935	−	0.522017i	$-0.174820\pi$
$59$	−1.10561	−	3.40271i	−0.143938	−	0.442995i	−0.996873	+	0.0790218i	$0.974820\pi$
$60$	−1.72269	−	5.10827i	−0.222398	−	0.659475i
$61$	−4.02947	+	12.4014i	−0.515921	+	1.58784i	0.265680	+	0.964061i	$0.414404\pi$
$61$	−4.02947	+	12.4014i	−0.515921	+	1.58784i	−0.781601	+	0.623779i	$0.785596\pi$
$62$	−0.863640	+	0.280614i	−0.109682	+	0.0356380i
$63$	−2.67478	+	0.869087i	−0.336990	+	0.109495i
$64$	−0.309017	+	0.951057i	−0.0386271	+	0.118882i
$65$	0.168810	+	0.500570i	0.0209382	+	0.0620880i
$66$	4.64487	+	14.2954i	0.571744	+	1.75965i
$67$	4.52933	+	6.23409i	0.553346	+	0.761615i	0.990461	−	0.137790i	$-0.0439999\pi$
$67$	4.52933	+	6.23409i	0.553346	+	0.761615i	−0.437116	+	0.899405i	$0.644000\pi$
$68$		−	4.26532i		−	0.517246i
$69$	12.5489	−	9.11732i	1.51071	−	1.09760i
$70$	−2.13416	−	0.667338i	−0.255081	−	0.0797622i
$71$	−2.17221	−	1.57820i	−0.257794	−	0.187298i	0.451380	−	0.892332i	$-0.350932\pi$
$71$	−2.17221	−	1.57820i	−0.257794	−	0.187298i	−0.709174	+	0.705034i	$0.750932\pi$
$72$	1.65310	−	2.27530i	0.194820	−	0.268147i
$73$	−8.97565	−	2.91637i	−1.05052	−	0.341335i	−0.267648	−	0.963517i	$-0.586246\pi$
$73$	−8.97565	−	2.91637i	−1.05052	−	0.341335i	−0.782873	+	0.622182i	$0.786246\pi$
$74$	−5.49546			−0.638834
$75$	−6.86725	+	9.90715i	−0.792961	+	1.14398i
$76$	−0.0333557			−0.00382616
$77$	5.92951	+	1.92661i	0.675730	+	0.219558i
$78$	−0.334785	+	0.460792i	−0.0379070	+	0.0521744i
$79$	−10.2311	−	7.43331i	−1.15109	−	0.836313i	−0.162461	−	0.986715i	$-0.551943\pi$
$79$	−10.2311	−	7.43331i	−1.15109	−	0.836313i	−0.988625	+	0.150402i	$0.951943\pi$
$80$	2.11883	−	0.714543i	0.236892	−	0.0798883i
$81$	7.70794	−	5.60015i	0.856438	−	0.622239i
$82$			3.13525i			0.346231i
$83$	−4.73070	−	6.51125i	−0.519262	−	0.714703i	0.466185	−	0.884687i	$-0.345628\pi$
$83$	−4.73070	−	6.51125i	−0.519262	−	0.714703i	−0.985447	+	0.169984i	$0.945628\pi$
$84$	−0.745008	−	2.29290i	−0.0812871	−	0.250176i
$85$	−7.65335	+	5.69132i	−0.830122	+	0.617311i
$86$	2.42980	−	7.47815i	0.262012	−	0.806390i
$87$	17.2495	−	5.60471i	1.84934	−	0.600888i
$88$	−5.92951	+	1.92661i	−0.632088	+	0.205378i
$89$	−0.548317	+	1.68755i	−0.0581215	+	0.178880i	−0.975902	−	0.218208i	$-0.929979\pi$
$89$	−0.548317	+	1.68755i	−0.0581215	+	0.178880i	0.917781	+	0.397087i	$0.129979\pi$
$90$	−6.28839	+	0.0697953i	−0.662854	+	0.00735707i
$91$	0.0730048	+	0.224686i	0.00765298	+	0.0235534i
$92$	3.78171	+	5.20508i	0.394271	+	0.542667i
$93$			2.18930i			0.227020i
$94$	3.91479	−	2.84426i	0.403780	−	0.293363i
$95$	0.0445073	+	0.0598507i	0.00456635	+	0.00614056i
$96$	1.95046	+	1.41709i	0.199068	+	0.144631i
$97$	−10.4652	+	14.4042i	−1.06258	+	1.46252i	−0.185221	+	0.982697i	$0.559300\pi$
$97$	−10.4652	+	14.4042i	−1.06258	+	1.46252i	−0.877364	+	0.479826i	$0.840700\pi$
$98$	−0.951057	−	0.309017i	−0.0960712	−	0.0312154i
$99$	17.5345			1.76228
$100$	−4.10932	−	2.84842i	−0.410932	−	0.284842i
$101$	−10.8232			−1.07695			−0.538473	−	0.842643i	$-0.680999\pi$
$101$	−10.8232			−1.07695			−0.538473	+	0.842643i	$0.680999\pi$
$102$	−9.77996	−	3.17770i	−0.968360	−	0.314639i
$103$	−4.57353	+	6.29493i	−0.450644	+	0.620258i	−0.972536	−	0.232754i	$-0.925226\pi$
$103$	−4.57353	+	6.29493i	−0.450644	+	0.620258i	0.521892	+	0.853012i	$0.325226\pi$
$104$	−0.191129	−	0.138863i	−0.0187417	−	0.0136167i
$105$	−3.12011	+	4.39625i	−0.304492	+	0.429030i
$106$	−0.0881460	+	0.0640418i	−0.00856149	+	0.00622029i
$107$		−	2.75710i		−	0.266539i	−0.991080	−	0.133269i	$-0.957452\pi$
$107$		−	2.75710i		−	0.266539i	0.991080	−	0.133269i	$-0.0425476\pi$
$108$	0.265810	+	0.365857i	0.0255776	+	0.0352046i
$109$	−3.84856	−	11.8447i	−0.368626	−	1.13451i	−0.947679	−	0.319224i	$-0.896578\pi$
$109$	−3.84856	−	11.8447i	−0.368626	−	1.13451i	0.579054	−	0.815289i	$-0.303422\pi$
$110$	11.3688	+	8.06870i	1.08398	+	0.769320i
$111$	−4.09416	+	12.6005i	−0.388601	+	1.19599i
$112$	0.951057	−	0.309017i	0.0898664	−	0.0291994i
$113$	3.01338	−	0.979106i	0.283475	−	0.0921065i	−0.163829	−	0.986489i	$-0.552384\pi$
$113$	3.01338	−	0.979106i	0.283475	−	0.0921065i	0.447303	+	0.894382i	$0.352384\pi$
$114$	−0.0248503	+	0.0764813i	−0.00232744	+	0.00716313i
$115$	4.29355	−	13.7309i	0.400375	−	1.28041i
$116$	2.32474	+	7.15481i	0.215847	+	0.664308i
$117$	0.390543	+	0.537536i	0.0361057	+	0.0496952i
$118$		−	3.57782i		−	0.329365i
$119$	−3.45072	+	2.50709i	−0.316327	+	0.229825i
$120$	−0.0598307	−	5.39060i	−0.00546177	−	0.492092i
$121$	−22.5480	−	16.3821i	−2.04982	−	1.48928i
$122$	−7.66451	+	10.5493i	−0.693912	+	0.955088i
$123$	7.18882	+	2.33579i	0.648194	+	0.210611i
$124$	−0.908085			−0.0815485
$125$	0.372190	+	11.1741i	0.0332897	+	0.999446i
$126$	−2.81243			−0.250551
$127$	18.5652	+	6.03219i	1.64739	+	0.535271i	0.978173	−	0.207793i	$-0.0666281\pi$
$127$	18.5652	+	6.03219i	1.64739	+	0.535271i	0.669221	+	0.743064i	$0.266628\pi$
$128$	−0.587785	+	0.809017i	−0.0519534	+	0.0715077i
$129$	−15.3364	−	11.1426i	−1.35030	−	0.981048i
$130$	0.00586292	+	0.528235i	0.000514212	+	0.0463293i
$131$	7.62322	−	5.53859i	0.666044	−	0.483909i	−0.202655	−	0.979250i	$-0.564957\pi$
$131$	7.62322	−	5.53859i	0.666044	−	0.483909i	0.868698	+	0.495341i	$0.164957\pi$
$132$			15.0311i			1.30829i
$133$	0.0196060	+	0.0269853i	0.00170005	+	0.00233992i
$134$	2.38121	+	7.32861i	0.205705	+	0.633096i
$135$	0.301786	−	0.965120i	0.0259736	−	0.0830643i
$136$	1.31806	−	4.05656i	0.113022	−	0.347847i
$137$	−11.8711	+	3.85714i	−1.01421	+	0.329538i	−0.768531	−	0.639813i	$-0.779012\pi$
$137$	−11.8711	+	3.85714i	−1.01421	+	0.329538i	−0.245682	+	0.969351i	$0.579012\pi$
$138$	14.7521	−	4.79326i	1.25579	−	0.408029i
$139$	7.10395	−	21.8637i	0.602549	−	1.85446i	0.0897156	−	0.995967i	$-0.471404\pi$
$139$	7.10395	−	21.8637i	0.602549	−	1.85446i	0.512834	−	0.858488i	$-0.328596\pi$
$140$	−1.82349	−	1.29417i	−0.154113	−	0.109377i
$141$	−3.60506	−	11.0952i	−0.303601	−	0.934387i
$142$	−1.57820	−	2.17221i	−0.132440	−	0.182288i
$143$		−	1.47293i		−	0.123172i
$144$	2.27530	−	1.65310i	0.189608	−	0.137759i
$145$	9.73606	−	13.7182i	0.808536	−	1.13923i
$146$	−7.63514	−	5.54726i	−0.631889	−	0.459094i
$147$	−1.41709	+	1.95046i	−0.116880	+	0.160871i
$148$	−5.22649	−	1.69819i	−0.429615	−	0.139590i
$149$	20.2290			1.65723			0.828613	−	0.559821i	$-0.189130\pi$
$149$	20.2290			1.65723			0.828613	+	0.559821i	$0.189130\pi$
$150$	−9.59262	+	7.30016i	−0.783234	+	0.596056i
$151$	−22.1107			−1.79934			−0.899672	−	0.436567i	$-0.856194\pi$
$151$	−22.1107			−1.79934			−0.899672	+	0.436567i	$0.856194\pi$
$152$	−0.0317232	−	0.0103075i	−0.00257309	−	0.000836047i
$153$	−7.05102	+	9.70489i	−0.570041	+	0.784594i
$154$	5.04394	+	3.66464i	0.406452	+	0.295305i
$155$	1.21168	+	1.62939i	0.0973245	+	0.130876i
$156$	−0.460792	+	0.334785i	−0.0368929	+	0.0268043i
$157$			3.01602i			0.240705i	0.992731	+	0.120352i	$0.0384025\pi$
$157$			3.01602i			0.240705i	−0.992731	+	0.120352i	$0.961598\pi$
$158$	−7.43331	−	10.2311i	−0.591363	−	0.813941i
$159$	0.0811719	+	0.249822i	0.00643735	+	0.0198121i
$160$	2.23593	−	0.0248168i	0.176766	−	0.00196194i
$161$	1.98816	−	6.11894i	0.156689	−	0.482240i
$162$	9.06123	−	2.94417i	0.711917	−	0.231316i
$163$	7.08243	−	2.30122i	0.554739	−	0.180246i	−0.0182138	−	0.999834i	$-0.505798\pi$
$163$	7.08243	−	2.30122i	0.554739	−	0.180246i	0.572952	+	0.819589i	$0.305798\pi$
$164$	−0.968847	+	2.98180i	−0.0756542	+	0.232840i
$165$	26.9706	−	20.0564i	2.09966	−	1.56139i
$166$	−2.48708	−	7.65444i	−0.193035	−	0.594100i
$167$	13.5060	+	18.5895i	1.04513	+	1.43850i	0.892957	+	0.450143i	$0.148627\pi$
$167$	13.5060	+	18.5895i	1.04513	+	1.43850i	0.152172	+	0.988354i	$0.451373\pi$
$168$		−	2.41090i		−	0.186005i
$169$	−10.4721	+	7.60840i	−0.805544	+	0.585262i
$170$	−9.03748	+	3.04776i	−0.693143	+	0.233752i
$171$	0.0758942	+	0.0551404i	0.00580377	+	0.00421669i
$172$	4.62175	−	6.36129i	0.352405	−	0.485044i
$173$	9.12783	+	2.96581i	0.693976	+	0.225486i	0.634704	−	0.772755i	$-0.281122\pi$
$173$	9.12783	+	2.96581i	0.693976	+	0.225486i	0.0592720	+	0.998242i	$0.481122\pi$
$174$	18.1372			1.37498
$175$	0.110977	+	4.99877i	0.00838908	+	0.377871i
$176$	−6.23465			−0.469955
$177$	−8.20359	−	2.66551i	−0.616620	−	0.200352i
$178$	−1.04296	+	1.43551i	−0.0781732	+	0.107596i
$179$	−1.03590	−	0.752627i	−0.0774270	−	0.0562540i	0.548398	−	0.836217i	$-0.315238\pi$
$179$	−1.03590	−	0.752627i	−0.0774270	−	0.0562540i	−0.625825	+	0.779963i	$0.715238\pi$
$180$	−6.00218	−	1.87684i	−0.447376	−	0.139891i
$181$	4.75644	−	3.45575i	0.353543	−	0.256864i	−0.396811	−	0.917900i	$-0.629883\pi$
$181$	4.75644	−	3.45575i	0.353543	−	0.256864i	0.750354	+	0.661036i	$0.229883\pi$
$182$			0.236248i			0.0175119i
$183$	18.4783	+	25.4332i	1.36596	+	1.88008i
$184$	1.98816	+	6.11894i	0.146569	+	0.451094i
$185$	3.92674	+	11.6439i	0.288700	+	0.856079i
$186$	−0.676531	+	2.08215i	−0.0496056	+	0.152670i
$187$	25.2913	−	8.21763i	1.84948	−	0.600933i
$188$	4.60211	−	1.49532i	0.335644	−	0.109057i
$189$	0.139745	−	0.430090i	0.0101649	−	0.0312845i
$190$	0.0238341	+	0.0706750i	0.00172910	+	0.00512730i
$191$	4.45759	+	13.7190i	0.322540	+	0.992675i	0.972539	+	0.232740i	$0.0747691\pi$
$191$	4.45759	+	13.7190i	0.322540	+	0.992675i	−0.649999	+	0.759935i	$0.725231\pi$
$192$	1.41709	+	1.95046i	0.102270	+	0.140762i
$193$		−	15.8235i		−	1.13900i	−0.821992	−	0.569499i	$-0.807137\pi$
$193$		−	15.8235i		−	1.13900i	0.821992	−	0.569499i	$-0.192863\pi$
$194$	−14.4042	+	10.4652i	−1.03416	+	0.751361i
$195$	1.21556	+	0.380096i	0.0870479	+	0.0272193i
$196$	−0.809017	−	0.587785i	−0.0577869	−	0.0419847i
$197$	15.4962	−	21.3286i	1.10406	−	1.51960i	0.274159	−	0.961684i	$-0.411601\pi$
$197$	15.4962	−	21.3286i	1.10406	−	1.51960i	0.829896	−	0.557918i	$-0.188399\pi$
$198$	16.6763	+	5.41846i	1.18513	+	0.385073i
$199$	8.77507			0.622048			0.311024	−	0.950402i	$-0.399328\pi$
$199$	8.77507			0.622048			0.311024	+	0.950402i	$0.399328\pi$
$200$	−3.02798	−	3.97886i	−0.214111	−	0.281348i
$201$	18.5778			1.31038
$202$	−10.2935	−	3.34455i	−0.724245	−	0.235321i
$203$	4.42192	−	6.08625i	0.310358	−	0.427171i
$204$	−8.31933	−	6.04435i	−0.582470	−	0.423189i
$205$	6.64306	−	2.24027i	0.463971	−	0.156467i
$206$	−6.29493	+	4.57353i	−0.438589	+	0.318653i
$207$		−	18.0947i		−	1.25767i
$208$	−0.138863	−	0.191129i	−0.00962844	−	0.0132524i
$209$	−0.0642635	−	0.197783i	−0.00444520	−	0.0136809i
$210$	−4.32592	+	3.21692i	−0.298517	+	0.221988i
$211$	1.29244	−	3.97774i	0.0889756	−	0.273839i	−0.896661	−	0.442717i	$-0.854015\pi$
$211$	1.29244	−	3.97774i	0.0889756	−	0.273839i	0.985637	+	0.168879i	$0.0540146\pi$
$212$	−0.103622	+	0.0336688i	−0.00711677	+	0.00231238i
$213$	−6.15643	+	2.00034i	−0.421832	+	0.137061i
$214$	0.851991	−	2.62216i	0.0582409	−	0.179247i
$215$	−17.5811	+	0.195134i	−1.19902	+	0.0133080i
$216$	0.139745	+	0.430090i	0.00950843	+	0.0292639i
$217$	0.533759	+	0.734656i	0.0362339	+	0.0498717i
$218$		−	12.4542i		−	0.843506i
$219$	−18.4075	+	13.3739i	−1.24387	+	0.903722i
$220$	8.31905	+	11.1870i	0.560870	+	0.754224i
$221$	0.815227	+	0.592297i	0.0548381	+	0.0398422i
$222$	−7.78756	+	10.7187i	−0.522667	+	0.719389i
$223$	−17.6163	−	5.72387i	−1.17967	−	0.383299i	−0.347428	−	0.937707i	$-0.612945\pi$
$223$	−17.6163	−	5.72387i	−1.17967	−	0.383299i	−0.832245	+	0.554408i	$0.812945\pi$
$224$	1.00000			0.0668153
$225$	4.64120	+	13.2741i	0.309414	+	0.884942i
$226$	3.16845			0.210762
$227$	−8.14106	−	2.64519i	−0.540341	−	0.175568i	0.0261155	−	0.999659i	$-0.491686\pi$
$227$	−8.14106	−	2.64519i	−0.540341	−	0.175568i	−0.566457	+	0.824091i	$0.691686\pi$
$228$	−0.0472680	+	0.0650588i	−0.00313040	+	0.00430863i
$229$	−11.2102	−	8.14468i	−0.740790	−	0.538216i	0.152168	−	0.988355i	$-0.451374\pi$
$229$	−11.2102	−	8.14468i	−0.740790	−	0.538216i	−0.892959	+	0.450139i	$0.851374\pi$
$230$	8.32648	−	11.7321i	0.549032	−	0.773589i
$231$	12.1604	−	8.83506i	0.800097	−	0.581304i
$232$			7.52301i			0.493910i
$233$	−0.449743	−	0.619018i	−0.0294636	−	0.0405532i	0.794031	−	0.607877i	$-0.207979\pi$
$233$	−0.449743	−	0.619018i	−0.0294636	−	0.0405532i	−0.823495	+	0.567324i	$0.807979\pi$
$234$	0.205320	+	0.631911i	0.0134222	+	0.0413093i
$235$	−8.82379	−	6.26242i	−0.575601	−	0.408515i
$236$	1.10561	−	3.40271i	0.0719690	−	0.221498i
$237$	−28.9967	+	9.42160i	−1.88354	+	0.611999i
$238$	−4.05656	+	1.31806i	−0.262948	+	0.0854370i
$239$	1.99491	−	6.13970i	0.129040	−	0.397144i	−0.865575	−	0.500779i	$-0.833047\pi$
$239$	1.99491	−	6.13970i	0.129040	−	0.397144i	0.994615	+	0.103634i	$0.0330471\pi$
$240$	1.60888	−	5.14525i	0.103853	−	0.332125i
$241$	−6.53076	−	20.0996i	−0.420683	−	1.29473i	−0.907068	−	0.420985i	$-0.861684\pi$
$241$	−6.53076	−	20.0996i	−0.420683	−	1.29473i	0.486384	−	0.873745i	$-0.338316\pi$
$242$	−16.3821	−	22.5480i	−1.05308	−	1.44944i
$243$		−	21.6132i		−	1.38649i
$244$	−10.5493	+	7.66451i	−0.675349	+	0.490670i
$245$	0.0248168	+	2.23593i	0.00158548	+	0.142848i
$246$	6.11518	+	4.44294i	0.389889	+	0.283271i
$247$	0.00463188	−	0.00637524i	0.000294720	−	0.000405647i
$248$	−0.863640	−	0.280614i	−0.0548412	−	0.0178190i
$249$	−19.4038			−1.22966
$250$	−3.09903	+	10.7423i	−0.196000	+	0.679400i
$251$	27.1626			1.71449			0.857246	−	0.514908i	$-0.172174\pi$
$251$	27.1626			1.71449			0.857246	+	0.514908i	$0.172174\pi$
$252$	−2.67478	−	0.869087i	−0.168495	−	0.0547473i
$253$	−23.5777	+	32.4519i	−1.48232	+	2.04023i
$254$	15.7925	+	11.4739i	0.990909	+	0.719937i
$255$	0.255197	+	22.9926i	0.0159811	+	1.43986i
$256$	−0.809017	+	0.587785i	−0.0505636	+	0.0367366i
$257$		−	12.5213i		−	0.781059i	−0.920590	−	0.390529i	$-0.872292\pi$
$257$		−	12.5213i		−	0.781059i	0.920590	−	0.390529i	$-0.127708\pi$
$258$	−11.1426	−	15.3364i	−0.693706	−	0.954804i
$259$	1.69819	+	5.22649i	0.105520	+	0.324759i
$260$	−0.157658	+	0.504193i	−0.00977751	+	0.0312687i
$261$	6.53816	−	20.1224i	0.404702	−	1.24554i
$262$	8.96163	−	2.91181i	0.553651	−	0.179892i
$263$	8.24918	−	2.68032i	0.508666	−	0.165276i	−0.0434293	−	0.999057i	$-0.513828\pi$
$263$	8.24918	−	2.68032i	0.508666	−	0.165276i	0.552096	+	0.833781i	$0.313828\pi$
$264$	−4.64487	+	14.2954i	−0.285872	+	0.879823i
$265$	0.198678	+	0.141005i	0.0122047	+	0.00866190i
$266$	0.0103075	+	0.0317232i	0.000631992	+	0.00194507i
$267$	2.51447	+	3.46087i	0.153883	+	0.211802i
$268$			7.70576i			0.470704i
$269$	−12.1090	+	8.79771i	−0.738299	+	0.536406i	−0.892178	−	0.451684i	$-0.850824\pi$
$269$	−12.1090	+	8.79771i	−0.738299	+	0.536406i	0.153879	+	0.988090i	$0.450824\pi$
$270$	0.585254	−	0.824626i	0.0356174	−	0.0501852i
$271$	13.3398	+	9.69193i	0.810335	+	0.588743i	0.913928	−	0.405877i	$-0.133034\pi$
$271$	13.3398	+	9.69193i	0.810335	+	0.588743i	−0.103593	+	0.994620i	$0.533034\pi$
$272$	2.50709	−	3.45072i	0.152015	−	0.209231i
$273$	0.541694	+	0.176007i	0.0327848	+	0.0106524i
$274$	−12.4820			−0.754063
$275$	8.97265	−	29.8540i	0.541071	−	1.80027i
$276$	15.5113			0.933672
$277$	2.97432	+	0.966415i	0.178710	+	0.0580663i	0.397005	−	0.917816i	$-0.370050\pi$
$277$	2.97432	+	0.966415i	0.178710	+	0.0580663i	−0.218295	+	0.975883i	$0.570050\pi$
$278$	13.5125	−	18.5984i	0.810427	−	1.11546i
$279$	2.06617	+	1.50116i	0.123698	+	0.0898719i
$280$	−1.33432	−	1.79432i	−0.0797411	−	0.107231i
$281$	−20.9497	+	15.2208i	−1.24975	+	0.907999i	−0.998208	−	0.0598467i	$-0.980939\pi$
$281$	−20.9497	+	15.2208i	−1.24975	+	0.907999i	−0.251545	+	0.967845i	$0.580939\pi$
$282$		−	11.6662i		−	0.694713i
$283$	−14.9359	−	20.5575i	−0.887847	−	1.22202i	−0.974185	−	0.225751i	$-0.927516\pi$
$283$	−14.9359	−	20.5575i	−0.887847	−	1.22202i	0.0863375	−	0.996266i	$-0.472484\pi$
$284$	−0.829710	−	2.55358i	−0.0492342	−	0.151527i
$285$	0.179807	−	0.00199569i	0.0106509	−	0.000118215i
$286$	0.455159	−	1.40084i	0.0269141	−	0.0828332i
$287$	2.98180	−	0.968847i	0.176010	−	0.0571892i
$288$	2.67478	−	0.869087i	0.157613	−	0.0512115i
$289$	−0.368653	+	1.13460i	−0.0216855	+	0.0667410i
$290$	13.4987	−	10.0381i	0.792670	−	0.589460i
$291$	13.2645	+	40.8240i	0.777580	+	2.39315i
$292$	−5.54726	−	7.63514i	−0.324629	−	0.446813i
$293$		−	13.5422i		−	0.791142i	−0.918435	−	0.395571i	$-0.870547\pi$
$293$		−	13.5422i		−	0.791142i	0.918435	−	0.395571i	$-0.129453\pi$
$294$	−1.95046	+	1.41709i	−0.113753	+	0.0826464i
$295$	−7.58079	+	2.55651i	−0.441371	+	0.148846i
$296$	−4.44592	−	3.23015i	−0.258414	−	0.187749i
$297$	−1.65724	+	2.28099i	−0.0961626	+	0.132356i
$298$	19.2390	+	6.25111i	1.11448	+	0.362117i
$299$	−1.51998			−0.0879029
$300$	−11.3790	+	3.97858i	−0.656967	+	0.229704i
$301$	−7.86299			−0.453215
$302$	−21.0285	−	6.83258i	−1.21006	−	0.393171i
$303$	−15.3374	+	21.1101i	−0.881111	+	1.21275i
$304$	−0.0269853	−	0.0196060i	−0.00154771	−	0.00112448i
$305$	27.8287	+	8.70185i	1.59347	+	0.498266i
$306$	−9.70489	+	7.05102i	−0.554792	+	0.403080i
$307$		−	3.32881i		−	0.189985i	−0.995478	−	0.0949925i	$-0.969717\pi$
$307$		−	3.32881i		−	0.189985i	0.995478	−	0.0949925i	$-0.0302827\pi$
$308$	3.66464	+	5.04394i	0.208812	+	0.287405i
$309$	5.79688	+	17.8410i	0.329773	+	1.01494i
$310$	0.648865	+	1.92408i	0.0368531	+	0.109280i
$311$	−0.608175	+	1.87177i	−0.0344864	+	0.106138i	−0.966818	−	0.255466i	$-0.917771\pi$
$311$	−0.608175	+	1.87177i	−0.0344864	+	0.106138i	0.932332	+	0.361605i	$0.117771\pi$
$312$	−0.541694	+	0.176007i	−0.0306674	+	0.00996443i
$313$	−2.25738	+	0.733468i	−0.127595	+	0.0414580i	−0.372118	−	0.928185i	$-0.621368\pi$
$313$	−2.25738	+	0.733468i	−0.127595	+	0.0414580i	0.244524	+	0.969643i	$0.421368\pi$
$314$	−0.932002	+	2.86841i	−0.0525959	+	0.161874i
$315$	2.00960	+	5.95904i	0.113228	+	0.335754i
$316$	−3.90792	−	12.0274i	−0.219838	−	0.676591i
$317$	15.8339	+	21.7935i	0.889321	+	1.22405i	0.973751	+	0.227616i	$0.0730931\pi$
$317$	15.8339	+	21.7935i	0.889321	+	1.22405i	−0.0844300	+	0.996429i	$0.526907\pi$
$318$			0.262678i			0.0147302i
$319$	−37.9456	+	27.5691i	−2.12455	+	1.54357i
$320$	2.13416	+	0.667338i	0.119303	+	0.0373053i
$321$	−5.37761	−	3.90706i	−0.300149	−	0.218071i
$322$	3.78171	−	5.20508i	0.210747	−	0.290068i
$323$	0.135310	+	0.0439647i	0.00752882	+	0.00244626i
$324$	9.52754			0.529308
$325$	1.11505	−	0.389869i	0.0618518	−	0.0216260i
$326$	7.44691			0.412446
$327$	−28.5563	−	9.27849i	−1.57917	−	0.513102i
$328$	−1.84286	+	2.53647i	−0.101755	+	0.140053i
$329$	−3.91479	−	2.84426i	−0.215830	−	0.156809i
$330$	31.8483	−	10.7404i	1.75319	−	0.591238i
$331$	14.7357	−	10.7061i	0.809946	−	0.588460i	−0.103869	−	0.994591i	$-0.533122\pi$
$331$	14.7357	−	10.7061i	0.809946	−	0.588460i	0.913815	+	0.406131i	$0.133122\pi$
$332$		−	8.04835i		−	0.441711i
$333$	9.08456	+	12.5038i	0.497831	+	0.685205i
$334$	7.10055	+	21.8532i	0.388525	+	1.19576i
$335$	13.8266	−	10.2820i	0.755427	−	0.561765i
$336$	0.745008	−	2.29290i	0.0406435	−	0.125088i
$337$	−6.58505	+	2.13961i	−0.358710	+	0.116552i	−0.482827	−	0.875716i	$-0.660390\pi$
$337$	−6.58505	+	2.13961i	−0.358710	+	0.116552i	0.124117	+	0.992268i	$0.460390\pi$
$338$	−12.3107	+	3.99997i	−0.669611	+	0.217570i
$339$	2.36052	−	7.26495i	0.128206	−	0.394578i
$340$	−9.53697	+	0.105852i	−0.517215	+	0.00574060i
$341$	−1.74953	−	5.38450i	−0.0947423	−	0.291587i
$342$	0.0551404	+	0.0758942i	0.00298165	+	0.00410389i
$343$			1.00000i			0.0539949i
$344$	6.36129	−	4.62175i	0.342978	−	0.249188i
$345$	−20.6971	−	27.8322i	−1.11430	−	1.49844i
$346$	7.76459	+	5.64131i	0.417427	+	0.303279i
$347$	−13.0993	+	18.0297i	−0.703208	+	0.967883i	0.296709	+	0.954968i	$0.404111\pi$
$347$	−13.0993	+	18.0297i	−0.703208	+	0.967883i	−0.999917	+	0.0129148i	$0.995889\pi$
$348$	17.2495	+	5.60471i	0.924671	+	0.300444i
$349$	7.36508			0.394243			0.197122	−	0.980379i	$-0.436841\pi$
$349$	7.36508			0.394243			0.197122	+	0.980379i	$0.436841\pi$
$350$	−1.43916	+	4.78840i	−0.0769263	+	0.255951i
$351$	−0.106837			−0.00570254
$352$	−5.92951	−	1.92661i	−0.316044	−	0.102689i
$353$	−0.108658	+	0.149555i	−0.00578329	+	0.00796001i	−0.811899	−	0.583798i	$-0.801566\pi$
$353$	−0.108658	+	0.149555i	−0.00578329	+	0.00796001i	0.806116	+	0.591758i	$0.201566\pi$
$354$	−6.97839	−	5.07010i	−0.370897	−	0.269473i
$355$	−3.47484	+	4.89607i	−0.184425	+	0.259857i
$356$	−1.43551	+	1.04296i	−0.0760820	+	0.0552768i
$357$			10.2833i			0.544248i
$358$	−0.752627	−	1.03590i	−0.0397776	−	0.0547492i
$359$	6.47555	+	19.9297i	0.341767	+	1.05185i	0.963292	+	0.268456i	$0.0865132\pi$
$359$	6.47555	+	19.9297i	0.341767	+	1.05185i	−0.621525	+	0.783394i	$0.713487\pi$
$360$	−5.12844	−	3.63976i	−0.270292	−	0.191832i
$361$	−5.87098	+	18.0690i	−0.308999	+	0.951001i
$362$	5.59153	−	1.81680i	0.293884	−	0.0954888i
$363$	−63.9051	+	20.7640i	−3.35415	+	1.08983i
$364$	−0.0730048	+	0.224686i	−0.00382649	+	0.0117767i
$365$	−6.29804	+	20.1413i	−0.329655	+	1.05424i
$366$	9.71464	+	29.8986i	0.507792	+	1.56282i
$367$	6.33742	+	8.72271i	0.330811	+	0.455322i	0.941729	−	0.336372i	$-0.109200\pi$
$367$	6.33742	+	8.72271i	0.330811	+	0.455322i	−0.610919	+	0.791693i	$0.709200\pi$
$368$			6.43384i			0.335387i
$369$	7.13364	−	5.18289i	0.371363	−	0.269811i
$370$	0.136380	+	12.2875i	0.00709003	+	0.638795i
$371$	0.0881460	+	0.0640418i	0.00457631	+	0.00332488i
$372$	−1.28684	+	1.77118i	−0.0667194	+	0.0918314i
$373$	32.5740	+	10.5839i	1.68662	+	0.548016i	0.986177	−	0.165694i	$-0.0529864\pi$
$373$	32.5740	+	10.5839i	1.68662	+	0.548016i	0.700442	+	0.713710i	$0.252986\pi$
$374$	26.5928			1.37508
$375$	22.3221	+	15.1088i	1.15271	+	0.780216i
$376$	4.83895			0.249550
$377$	−1.69031	−	0.549216i	−0.0870555	−	0.0282861i
$378$	0.265810	−	0.365857i	0.0136718	−	0.0188176i
$379$	14.8750	+	10.8073i	0.764079	+	0.555136i	0.900159	−	0.435562i	$-0.143450\pi$
$379$	14.8750	+	10.8073i	0.764079	+	0.555136i	−0.136079	+	0.990698i	$0.543450\pi$
$380$	0.000827780		0.0745810i	4.24642e−5		0.00382592i
$381$	38.0741	−	27.6624i	1.95059	−	1.41719i
$382$			14.4250i			0.738050i
$383$	−3.06850	−	4.22343i	−0.156793	−	0.215807i	0.723392	−	0.690437i	$-0.242582\pi$
$383$	−3.06850	−	4.22343i	−0.156793	−	0.215807i	−0.880185	+	0.474630i	$0.842582\pi$
$384$	0.745008	+	2.29290i	0.0380185	+	0.117009i
$385$	4.16062	−	13.3058i	0.212045	−	0.678125i
$386$	4.88972	−	15.0490i	0.248880	−	0.765974i
$387$	−21.0317	+	6.83362i	−1.06910	+	0.347373i
$388$	−16.9331	+	5.50191i	−0.859649	+	0.279317i
$389$	−6.28934	+	19.3566i	−0.318882	+	0.981419i	0.655244	+	0.755417i	$0.272566\pi$
$389$	−6.28934	+	19.3566i	−0.318882	+	0.981419i	−0.974127	+	0.226002i	$0.927434\pi$
$390$	1.03861	+	0.737121i	0.0525919	+	0.0373256i
$391$	−8.48017	−	26.0993i	−0.428860	−	1.31990i
$392$	−0.587785	−	0.809017i	−0.0296876	−	0.0408615i
$393$		−	22.7174i		−	1.14594i
$394$	21.3286	−	15.4962i	1.07452	−	0.780685i
$395$	−16.3665	+	23.0604i	−0.823486	+	1.16030i
$396$	14.1857	+	10.3065i	0.712858	+	0.517922i
$397$	−7.59054	+	10.4475i	−0.380959	+	0.524344i	−0.955838	−	0.293894i	$-0.905049\pi$
$397$	−7.59054	+	10.4475i	−0.380959	+	0.524344i	0.574880	+	0.818238i	$0.305049\pi$
$398$	8.34559	+	2.71165i	0.418327	+	0.135923i
$399$	0.0804171			0.00402589
$400$	−1.65025	−	4.71982i	−0.0825125	−	0.235991i
$401$	−12.7009			−0.634252			−0.317126	−	0.948383i	$-0.602718\pi$
$401$	−12.7009			−0.634252			−0.317126	+	0.948383i	$0.602718\pi$
$402$	17.6685	+	5.74085i	0.881226	+	0.286328i
$403$	0.126100	−	0.173561i	0.00628147	−	0.00864571i
$404$	−8.75613	−	6.36170i	−0.435634	−	0.316507i
$405$	−12.7128	−	17.0954i	−0.631705	−	0.849479i
$406$	6.08625	−	4.42192i	0.302055	−	0.219456i
$407$		−	34.2623i		−	1.69832i
$408$	−6.04435	−	8.31933i	−0.299240	−	0.411868i
$409$	0.662204	+	2.03805i	0.0327439	+	0.100775i	0.966093	−	0.258195i	$-0.0831278\pi$
$409$	0.662204	+	2.03805i	0.0327439	+	0.100775i	−0.933349	+	0.358971i	$0.883128\pi$
$410$	7.01021	−	0.0778068i	0.346209	−	0.00384261i
$411$	−9.29917	+	28.6199i	−0.458694	+	1.41172i
$412$	−7.40013	+	2.40445i	−0.364578	+	0.118459i
$413$	−3.40271	+	1.10561i	−0.167437	+	0.0544034i
$414$	5.59156	−	17.2091i	0.274810	−	0.845779i
$415$	−14.4413	+	10.7391i	−0.708896	+	0.527162i
$416$	−0.0730048	−	0.224686i	−0.00357935	−	0.0110161i
$417$	−32.5773	−	44.8388i	−1.59532	−	2.19576i
$418$		−	0.207961i		−	0.0101717i
$419$	8.45268	−	6.14123i	0.412941	−	0.300019i	−0.361851	−	0.932236i	$-0.617855\pi$
$419$	8.45268	−	6.14123i	0.412941	−	0.300019i	0.774791	+	0.632217i	$0.217855\pi$
$420$	−5.10827	+	1.72269i	−0.249258	+	0.0840586i
$421$	4.66019	+	3.38583i	0.227124	+	0.165015i	0.695528	−	0.718499i	$-0.255171\pi$
$421$	4.66019	+	3.38583i	0.227124	+	0.165015i	−0.468404	+	0.883515i	$0.655171\pi$
$422$	2.45838	−	3.38366i	0.119672	−	0.164714i
$423$	−12.9431	−	4.20547i	−0.629315	−	0.204477i
$424$	−0.108954			−0.00529129
$425$	12.9153	+	16.9711i	0.626486	+	0.823220i
$426$	−6.47325			−0.313630
$427$	12.4014	+	4.02947i	0.600147	+	0.195000i
$428$	1.62058	−	2.23054i	0.0783338	−	0.107817i
$429$	−2.87288	−	2.08727i	−0.138704	−	0.100774i
$430$	−16.7809	−	5.24728i	−0.809248	−	0.253046i
$431$	−16.7569	+	12.1746i	−0.807152	+	0.586430i	−0.913004	−	0.407952i	$-0.866243\pi$
$431$	−16.7569	+	12.1746i	−0.807152	+	0.586430i	0.105852	+	0.994382i	$0.466243\pi$
$432$			0.452224i			0.0217576i
$433$	6.23089	+	8.57609i	0.299438	+	0.412140i	0.932051	−	0.362327i	$-0.118018\pi$
$433$	6.23089	+	8.57609i	0.299438	+	0.412140i	−0.632613	+	0.774468i	$0.718018\pi$
$434$	0.280614	+	0.863640i	0.0134699	+	0.0414561i
$435$	−12.9598	−	38.4296i	−0.621375	−	1.84256i
$436$	3.84856	−	11.8447i	0.184313	−	0.567257i
$437$	−0.204102	+	0.0663166i	−0.00976350	+	0.00317235i
$438$	−21.6394	+	7.03106i	−1.03397	+	0.335957i
$439$	−1.69147	+	5.20580i	−0.0807294	+	0.248459i	−0.983273	−	0.182140i	$-0.941698\pi$
$439$	−1.69147	+	5.20580i	−0.0807294	+	0.248459i	0.902543	+	0.430599i	$0.141698\pi$
$440$	4.45492	+	13.2102i	0.212380	+	0.629769i
$441$	0.869087	+	2.67478i	0.0413851	+	0.127370i
$442$	0.592297	+	0.815227i	0.0281727	+	0.0387764i
$443$		−	5.30898i		−	0.252237i	−0.992015	−	0.126119i	$-0.959748\pi$
$443$		−	5.30898i		−	0.252237i	0.992015	−	0.126119i	$-0.0402520\pi$
$444$	−10.7187	+	7.78756i	−0.508685	+	0.369581i
$445$	3.78684	+	1.18412i	0.179514	+	0.0561326i
$446$	−14.9853	−	10.8875i	−0.709574	−	0.515536i
$447$	28.6664	−	39.4559i	1.35587	−	1.86620i
$448$	0.951057	+	0.309017i	0.0449332	+	0.0145997i
$449$	−9.32126			−0.439898			−0.219949	−	0.975511i	$-0.570589\pi$
$449$	−9.32126			−0.439898			−0.219949	+	0.975511i	$0.570589\pi$
$450$	0.312115	+	14.0587i	0.0147132	+	0.662732i
$451$	−19.5472			−0.920442
$452$	3.01338	+	0.979106i	0.141737	+	0.0460533i
$453$	−31.3329	+	43.1260i	−1.47215	+	2.02624i
$454$	−6.92520	−	5.03145i	−0.325016	−	0.236138i
$455$	0.500570	−	0.168810i	0.0234671	−	0.00791391i
$456$	−0.0650588	+	0.0472680i	−0.00304666	+	0.00221353i
$457$		−	24.5121i		−	1.14663i	−0.819336	−	0.573314i	$-0.805658\pi$
$457$		−	24.5121i		−	1.14663i	0.819336	−	0.573314i	$-0.194342\pi$
$458$	−8.14468	−	11.2102i	−0.380576	−	0.523818i
$459$	−0.596057	−	1.83447i	−0.0278215	−	0.0856259i
$460$	11.5444	−	8.58482i	0.538258	−	0.400269i
$461$	−1.10942	+	3.41446i	−0.0516710	+	0.159027i	−0.973562	−	0.228422i	$-0.926644\pi$
$461$	−1.10942	+	3.41446i	−0.0516710	+	0.159027i	0.921891	+	0.387449i	$0.126644\pi$
$462$	14.2954	−	4.64487i	0.665084	−	0.216099i
$463$	−3.14060	+	1.02044i	−0.145956	+	0.0474240i	−0.381084	−	0.924540i	$-0.624449\pi$
$463$	−3.14060	+	1.02044i	−0.145956	+	0.0474240i	0.235128	+	0.971964i	$0.424449\pi$
$464$	−2.32474	+	7.15481i	−0.107923	+	0.332154i
$465$	4.89512	−	0.0543313i	0.227006	−	0.00251956i
$466$	−0.236444	−	0.727699i	−0.0109530	−	0.0337100i
$467$	−22.8154	−	31.4027i	−1.05577	−	1.45314i	−0.883697	−	0.468060i	$-0.844953\pi$
$467$	−22.8154	−	31.4027i	−1.05577	−	1.45314i	−0.172074	−	0.985084i	$-0.555047\pi$
$468$			0.664431i			0.0307133i
$469$	6.23409	−	4.52933i	0.287864	−	0.209145i
$470$	−6.45673	−	8.68262i	−0.297827	−	0.400499i
$471$	5.88262	+	4.27398i	0.271057	+	0.196934i
$472$	2.10299	−	2.89452i	0.0967981	−	0.133231i
$473$	46.6237	+	15.1489i	2.14376	+	0.696549i
$474$	−30.4889			−1.40040
$475$	0.132718	−	0.101001i	0.00608950	−	0.00463422i
$476$	−4.26532			−0.195501
$477$	0.291429	+	0.0946909i	0.0133436	+	0.00433560i
$478$	3.79454	−	5.22274i	0.173558	−	0.238883i
$479$	12.4684	+	9.05879i	0.569694	+	0.413907i	0.834994	−	0.550259i	$-0.185471\pi$
$479$	12.4684	+	9.05879i	0.569694	+	0.413907i	−0.265300	+	0.964166i	$0.585471\pi$
$480$	3.12011	−	4.39625i	0.142413	−	0.200661i
$481$	1.05034	−	0.763118i	0.0478915	−	0.0347952i
$482$		−	21.1340i		−	0.962627i
$483$	−9.11732	−	12.5489i	−0.414853	−	0.570996i
$484$	−8.61258	−	26.5068i	−0.391481	−	1.20485i
$485$	32.4664	+	23.0421i	1.47423	+	1.04629i
$486$	6.67886	−	20.5554i	0.302959	−	0.932413i
$487$	17.3981	−	5.65300i	0.788385	−	0.256162i	0.112969	−	0.993599i	$-0.463964\pi$
$487$	17.3981	−	5.65300i	0.788385	−	0.256162i	0.675416	+	0.737437i	$0.263964\pi$
$488$	−12.4014	+	4.02947i	−0.561386	+	0.182406i
$489$	5.54801	−	17.0750i	0.250890	−	0.772159i
$490$	−0.667338	+	2.13416i	−0.0301473	+	0.0964117i
$491$	−4.32842	−	13.3215i	−0.195339	−	0.601191i	−0.999972	−	0.00741919i	$-0.997638\pi$
$491$	−4.32842	−	13.3215i	−0.195339	−	0.601191i	0.804634	−	0.593771i	$-0.202362\pi$
$492$	4.44294	+	6.11518i	0.200303	+	0.275693i
$493$		−	32.0881i		−	1.44517i
$494$	0.00637524	−	0.00463188i	0.000286836	−	0.000208398i
$495$	−0.435149	−	39.2059i	−0.0195585	−	1.76217i
$496$	−0.734656	−	0.533759i	−0.0329870	−	0.0239665i
$497$	−1.57820	+	2.17221i	−0.0707920	+	0.0974369i
$498$	−18.4541	−	5.99609i	−0.826946	−	0.268691i
$499$	8.13742			0.364281			0.182141	−	0.983273i	$-0.441697\pi$
$499$	8.13742			0.364281			0.182141	+	0.983273i	$0.441697\pi$
$500$	−6.26689	+	9.25884i	−0.280264	+	0.414068i
$501$	55.3972			2.47497
$502$	25.8332	+	8.39372i	1.15299	+	0.374630i
$503$	16.4594	−	22.6545i	0.733891	−	1.01011i	−0.265056	−	0.964233i	$-0.585391\pi$
$503$	16.4594	−	22.6545i	0.733891	−	1.01011i	0.998947	−	0.0458808i	$-0.0146094\pi$
$504$	−2.27530	−	1.65310i	−0.101350	−	0.0736350i
$505$	0.268596	+	24.1999i	0.0119524	+	1.07688i
$506$	−32.4519	+	23.5777i	−1.44266	+	1.04816i
$507$			31.2071i			1.38596i
$508$	11.4739	+	15.7925i	0.509073	+	0.700678i
$509$	−1.46398	−	4.50566i	−0.0648897	−	0.199710i	0.913355	−	0.407164i	$-0.133482\pi$
$509$	−1.46398	−	4.50566i	−0.0648897	−	0.199710i	−0.978245	+	0.207454i	$0.933482\pi$
$510$	−6.86241	+	21.9462i	−0.303873	+	0.971793i
$511$	−2.91637	+	8.97565i	−0.129012	+	0.397059i
$512$	−0.951057	+	0.309017i	−0.0420312	+	0.0136568i
$513$	−0.0143460	+	0.00466128i	−0.000633390	+	0.000205801i
$514$	3.86930	−	11.9085i	0.170668	−	0.525261i
$515$	14.1885	+	10.0699i	0.625221	+	0.443732i
$516$	−5.85799	−	18.0290i	−0.257884	−	0.793685i
$517$	17.7330	+	24.4074i	0.779896	+	1.07343i
$518$			5.49546i			0.241457i
$519$	18.7196	−	13.6006i	0.821701	−	0.597001i
$520$	−0.305745	+	0.430797i	−0.0134078	+	0.0188917i
$521$	24.6572	+	17.9145i	1.08025	+	0.784849i	0.977727	−	0.209881i	$-0.0673076\pi$
$521$	24.6572	+	17.9145i	1.08025	+	0.784849i	0.102526	+	0.994730i	$0.467308\pi$
$522$	12.4363	−	17.1171i	0.544323	−	0.749196i
$523$	−34.7272	−	11.2835i	−1.51851	−	0.493395i	−0.573160	−	0.819443i	$-0.694283\pi$
$523$	−34.7272	−	11.2835i	−1.51851	−	0.493395i	−0.945353	+	0.326048i	$0.894283\pi$
$524$	9.42281			0.411638
$525$	9.90715	+	6.86725i	0.432383	+	0.299711i
$526$	8.67370			0.378191
$527$	3.68371	+	1.19691i	0.160465	+	0.0521381i
$528$	−8.83506	+	12.1604i	−0.384497	+	0.529214i
$529$	14.8813	+	10.8119i	0.647011	+	0.470081i
$530$	0.145380	+	0.195499i	0.00631492	+	0.00849193i
$531$	−8.14062	+	5.91451i	−0.353273	+	0.256668i
$532$			0.0333557i			0.00144615i
$533$	−0.435372	−	0.599238i	−0.0188580	−	0.0259559i
$534$	1.32194	+	4.06850i	0.0572058	+	0.176061i
$535$	−6.16468	+	0.0684223i	−0.266523	+	0.00295815i
$536$	−2.38121	+	7.32861i	−0.102853	+	0.316548i
$537$	−2.93593	+	0.953943i	−0.126695	+	0.0411657i
$538$	−14.2350	+	4.62523i	−0.613714	+	0.199408i
$539$	1.92661	−	5.92951i	0.0829851	−	0.255402i
$540$	0.811433	−	0.603413i	0.0349185	−	0.0259668i
$541$	−0.0537292	−	0.165361i	−0.00231000	−	0.00710944i	0.949895	−	0.312570i	$-0.101190\pi$
$541$	−0.0537292	−	0.165361i	−0.00231000	−	0.00710944i	−0.952205	+	0.305460i	$0.901190\pi$
$542$	9.69193	+	13.3398i	0.416304	+	0.572993i
$543$		−	14.1743i		−	0.608279i
$544$	3.45072	−	2.50709i	0.147948	−	0.107491i
$545$	−26.3883	+	8.89907i	−1.13035	+	0.381194i
$546$	0.460792	+	0.334785i	0.0197201	+	0.0143275i
$547$	−13.2767	+	18.2737i	−0.567669	+	0.781329i	−0.992276	−	0.124049i	$-0.960412\pi$
$547$	−13.2767	+	18.2737i	−0.567669	+	0.781329i	0.424607	+	0.905378i	$0.360412\pi$
$548$	−11.8711	−	3.85714i	−0.507106	−	0.164769i
$549$	36.6730			1.56517
$550$	17.7589	−	25.6202i	0.757242	−	1.09245i
$551$	−0.250935			−0.0106902
$552$	14.7521	+	4.79326i	0.627893	+	0.204015i
$553$	−7.43331	+	10.2311i	−0.316097	+	0.435070i
$554$	2.53011	+	1.83823i	0.107494	+	0.0780990i
$555$	28.2755	+	8.84156i	1.20023	+	0.375303i
$556$	18.5984	−	13.5125i	0.788747	−	0.573058i
$557$		−	16.5157i		−	0.699794i	−0.936788	−	0.349897i	$-0.886217\pi$
$557$		−	16.5157i		−	0.699794i	0.936788	−	0.349897i	$-0.113783\pi$
$558$	1.50116	+	2.06617i	0.0635491	+	0.0874678i
$559$	0.574036	+	1.76670i	0.0242791	+	0.0747235i
$560$	−0.714543	−	2.11883i	−0.0301949	−	0.0895368i
$561$	19.8119	−	60.9746i	0.836457	−	2.57435i
$562$	−24.6278	+	8.00207i	−1.03886	+	0.337547i
$563$	13.5376	−	4.39864i	0.570543	−	0.185381i	−0.00951665	−	0.999955i	$-0.503029\pi$
$563$	13.5376	−	4.39864i	0.570543	−	0.185381i	0.580060	+	0.814574i	$0.303029\pi$
$564$	3.60506	−	11.0952i	0.151800	−	0.467193i
$565$	−2.26400	−	6.71341i	−0.0952470	−	0.282435i
$566$	−7.85227	−	24.1668i	−0.330056	−	1.01581i
$567$	−5.60015	−	7.70794i	−0.235184	−	0.323703i
$568$		−	2.68500i		−	0.112660i
$569$	−3.37550	+	2.45244i	−0.141508	+	0.102812i	−0.656287	−	0.754511i	$-0.727874\pi$
$569$	−3.37550	+	2.45244i	−0.141508	+	0.102812i	0.514779	+	0.857323i	$0.327874\pi$
$570$	0.171623	+	0.0536654i	0.00718852	+	0.00224780i
$571$	7.92955	+	5.76116i	0.331841	+	0.241097i	0.741212	−	0.671271i	$-0.234252\pi$
$571$	7.92955	+	5.76116i	0.331841	+	0.241097i	−0.409370	+	0.912368i	$0.634252\pi$
$572$	0.865764	−	1.19162i	0.0361994	−	0.0498242i
$573$	33.0752	+	10.7468i	1.38174	+	0.448953i
$574$	3.13525			0.130863
$575$	−30.8078	−	9.25931i	−1.28477	−	0.386140i
$576$	2.81243			0.117184
$577$	13.3896	+	4.35053i	0.557415	+	0.181115i	0.574158	−	0.818745i	$-0.305330\pi$
$577$	13.3896	+	4.35053i	0.557415	+	0.181115i	−0.0167427	+	0.999860i	$0.505330\pi$
$578$	−0.701219	+	0.965145i	−0.0291669	+	0.0401448i
$579$	−30.8630	−	22.4233i	−1.28262	−	0.931879i
$580$	15.9400	−	5.37551i	0.661871	−	0.223206i
$581$	−6.51125	+	4.73070i	−0.270132	+	0.196263i
$582$			42.9249i			1.77930i
$583$	−0.399278	−	0.549559i	−0.0165364	−	0.0227604i
$584$	−2.91637	−	8.97565i	−0.120680	−	0.371415i
$585$	1.19220	−	0.886566i	0.0492914	−	0.0366550i
$586$	4.18476	−	12.8794i	0.172871	−	0.532042i
$587$	4.69570	−	1.52572i	0.193812	−	0.0629734i	−0.210503	−	0.977593i	$-0.567510\pi$
$587$	4.69570	−	1.52572i	0.193812	−	0.0629734i	0.404315	+	0.914620i	$0.367510\pi$
$588$	−2.29290	+	0.745008i	−0.0945576	+	0.0307236i
$589$	0.00936007	−	0.0288073i	0.000385675	−	0.00118698i
$590$	−7.99977	+	0.0887900i	−0.329345	+	0.00365543i
$591$	−19.6411	−	60.4492i	−0.807928	−	2.48655i
$592$	−3.23015	−	4.44592i	−0.132758	−	0.182726i
$593$			8.66896i			0.355991i	0.984031	+	0.177996i	$0.0569613\pi$
$593$			8.66896i			0.355991i	−0.984031	+	0.177996i	$0.943039\pi$
$594$	−2.28099	+	1.65724i	−0.0935901	+	0.0679972i
$595$	5.69132	+	7.65335i	0.233322	+	0.313757i
$596$	16.3656	+	11.8903i	0.670362	+	0.487047i
$597$	12.4351	−	17.1154i	0.508933	−	0.700487i
$598$	−1.44559	−	0.469701i	−0.0591146	−	0.0192075i
$599$	4.24502			0.173447			0.0867234	−	0.996232i	$-0.472360\pi$
$599$	4.24502			0.173447			0.0867234	+	0.996232i	$0.472360\pi$
$600$	−12.0515	+	0.267554i	−0.492001	+	0.0109229i
$601$	33.6617			1.37309			0.686545	−	0.727088i	$-0.259127\pi$
$601$	33.6617			1.37309			0.686545	+	0.727088i	$0.259127\pi$
$602$	−7.47815	−	2.42980i	−0.304787	−	0.0990312i
$603$	12.7384	−	17.5329i	0.518748	−	0.713995i
$604$	−17.8879	−	12.9963i	−0.727850	−	0.528814i
$605$	−36.0697	+	50.8224i	−1.46644	+	2.06622i
$606$	−21.1101	+	15.3374i	−0.857541	+	0.623040i
$607$		−	39.4316i		−	1.60048i	−0.599680	−	0.800240i	$-0.704705\pi$
$607$		−	39.4316i		−	1.60048i	0.599680	−	0.800240i	$-0.295295\pi$
$608$	−0.0196060	−	0.0269853i	−0.000795128	−	0.00109440i
$609$	−5.60471	−	17.2495i	−0.227114	−	0.698986i
$610$	23.7777	+	16.8755i	0.962730	+	0.683269i
$611$	−0.353266	+	1.08724i	−0.0142916	+	0.0439851i
$612$	−11.4088	+	3.70694i	−0.461173	+	0.149844i
$613$	−3.13083	+	1.01727i	−0.126453	+	0.0410871i	−0.371560	−	0.928409i	$-0.621177\pi$
$613$	−3.13083	+	1.01727i	−0.126453	+	0.0410871i	0.245107	+	0.969496i	$0.421177\pi$
$614$	1.02866	−	3.16588i	0.0415132	−	0.127765i
$615$	5.04426	−	16.1317i	0.203404	−	0.650492i
$616$	1.92661	+	5.92951i	0.0776255	+	0.238907i
$617$	−0.229134	−	0.315376i	−0.00922459	−	0.0126966i	0.804380	−	0.594115i	$-0.202498\pi$
$617$	−0.229134	−	0.315376i	−0.00922459	−	0.0126966i	−0.813604	+	0.581419i	$0.802498\pi$
$618$			18.7591i			0.754602i
$619$	20.9503	−	15.2213i	0.842065	−	0.611796i	−0.0808819	−	0.996724i	$-0.525774\pi$
$619$	20.9503	−	15.2213i	0.842065	−	0.611796i	0.922947	+	0.384928i	$0.125774\pi$
$620$	0.0225357	+	2.03041i	0.000905057	+	0.0815434i
$621$	2.35386	+	1.71018i	0.0944572	+	0.0686272i
$622$	−1.15682	+	1.59222i	−0.0463842	+	0.0638423i
$623$	1.68755	+	0.548317i	0.0676101	+	0.0219679i
$624$	−0.569571			−0.0228011
$625$	24.9754	−	1.10950i	0.999015	−	0.0443799i
$626$	−2.37355			−0.0948662
$627$	−0.476834	−	0.154933i	−0.0190429	−	0.00618742i
$628$	−1.77277	+	2.44001i	−0.0707414	+	0.0973672i
$629$	18.9633	+	13.7776i	0.756116	+	0.549350i
$630$	0.0697953	+	6.28839i	0.00278071	+	0.250535i
$631$	−15.7433	+	11.4382i	−0.626731	+	0.455347i	−0.855266	−	0.518189i	$-0.826606\pi$
$631$	−15.7433	+	11.4382i	−0.626731	+	0.455347i	0.228535	+	0.973536i	$0.426606\pi$
$632$		−	12.6463i		−	0.503043i
$633$	−5.92689	−	8.15767i	−0.235573	−	0.324238i
$634$	8.32438	+	25.6198i	0.330603	+	1.01749i
$635$	13.0268	−	41.6601i	0.516954	−	1.65323i
$636$	−0.0811719	+	0.249822i	−0.00321868	+	0.00990607i
$637$	0.224686	−	0.0730048i	0.00890237	−	0.00289255i
$638$	−44.6078	+	14.4939i	−1.76604	+	0.573821i
$639$	−2.33350	+	7.18176i	−0.0923117	+	0.284106i
$640$	1.82349	+	1.29417i	0.0720799	+	0.0511565i
$641$	−12.5190	−	38.5294i	−0.494469	−	1.52182i	−0.817783	−	0.575527i	$-0.804797\pi$
$641$	−12.5190	−	38.5294i	−0.494469	−	1.52182i	0.323313	−	0.946292i	$-0.395203\pi$
$642$	−3.90706	−	5.37761i	−0.154199	−	0.212237i
$643$			40.0048i			1.57763i	0.614628	+	0.788817i	$0.289306\pi$
$643$			40.0048i			1.57763i	−0.614628	+	0.788817i	$0.710694\pi$
$644$	5.20508	−	3.78171i	0.205109	−	0.149020i
$645$	−24.5334	+	34.5677i	−0.966002	+	1.36110i
$646$	0.115101	+	0.0836259i	0.00452859	+	0.00329022i
$647$	2.18347	−	3.00529i	0.0858410	−	0.118150i	−0.763937	−	0.645291i	$-0.776736\pi$
$647$	2.18347	−	3.00529i	0.0858410	−	0.118150i	0.849778	+	0.527141i	$0.176736\pi$
$648$	9.06123	+	2.94417i	0.355959	+	0.115658i
$649$	22.3065			0.875606
$650$	1.18095	−	0.0262182i	0.0463207	−	0.00102836i
$651$	2.18930			0.0858054
$652$	7.08243	+	2.30122i	0.277369	+	0.0901228i
$653$	10.7197	−	14.7544i	0.419495	−	0.577385i	−0.546007	−	0.837780i	$-0.683853\pi$
$653$	10.7197	−	14.7544i	0.419495	−	0.577385i	0.965502	+	0.260395i	$0.0838529\pi$
$654$	−24.2914	−	17.6487i	−0.949869	−	0.690120i
$655$	−12.5731	−	16.9075i	−0.491271	−	0.660632i
$656$	−2.53647	+	1.84286i	−0.0990326	+	0.0719514i
$657$			26.5424i			1.03552i
$658$	−2.84426	−	3.91479i	−0.110881	−	0.152615i
$659$	9.95525	+	30.6391i	0.387802	+	1.19353i	0.934427	+	0.356154i	$0.115912\pi$
$659$	9.95525	+	30.6391i	0.387802	+	1.19353i	−0.546626	+	0.837377i	$0.684088\pi$
$660$	33.6085	−	0.373023i	1.30821	−	0.0145199i
$661$	−9.34644	+	28.7654i	−0.363534	+	1.11884i	0.587359	+	0.809326i	$0.300168\pi$
$661$	−9.34644	+	28.7654i	−0.363534	+	1.11884i	−0.950894	+	0.309518i	$0.899832\pi$
$662$	17.3228	−	5.62853i	0.673271	−	0.218759i
$663$	2.31050	−	0.750727i	0.0897324	−	0.0291558i
$664$	2.48708	−	7.65444i	0.0965173	−	0.297050i
$665$	0.0598507	−	0.0445073i	0.00232091	−	0.00172592i
$666$	4.77603	+	14.6991i	0.185068	+	0.569579i
$667$	28.4499	+	39.1579i	1.10158	+	1.51620i
$668$			22.9779i			0.889040i
$669$	−36.1280	+	26.2485i	−1.39679	+	1.01483i
$670$	16.3272	−	5.50609i	0.630774	−	0.212719i
$671$	−65.7711	−	47.7855i	−2.53907	−	1.84474i
$672$	1.41709	−	1.95046i	0.0546654	−	0.0752405i
$673$	14.2433	+	4.62792i	0.549037	+	0.178393i	0.570383	−	0.821379i	$-0.306795\pi$
$673$	14.2433	+	4.62792i	0.549037	+	0.178393i	−0.0213452	+	0.999772i	$0.506795\pi$
$674$	−6.92393			−0.266700
$675$	−2.16543	−	0.650822i	−0.0833474	−	0.0250501i
$676$	−12.9442			−0.497853
$677$	−13.8960	−	4.51509i	−0.534067	−	0.173529i	0.0295526	−	0.999563i	$-0.490592\pi$
$677$	−13.8960	−	4.51509i	−0.534067	−	0.173529i	−0.563620	+	0.826034i	$0.690592\pi$
$678$	4.48998	−	6.17993i	0.172437	−	0.237339i
$679$	14.4042	+	10.4652i	0.552782	+	0.401619i
$680$	−9.10290	−	2.84641i	−0.349080	−	0.109155i
$681$	−16.6960	+	12.1303i	−0.639790	+	0.464835i
$682$		−	5.66159i		−	0.216794i
$683$	17.6509	+	24.2944i	0.675394	+	0.929600i	0.999867	−	0.0162951i	$-0.00518713\pi$
$683$	17.6509	+	24.2944i	0.675394	+	0.929600i	−0.324474	+	0.945895i	$0.605187\pi$
$684$	0.0289890	+	0.0892190i	0.00110842	+	0.00341137i
$685$	8.91890	+	26.4471i	0.340773	+	1.01049i
$686$	−0.309017	+	0.951057i	−0.0117983	+	0.0363115i
$687$	−31.7717	+	10.3233i	−1.21217	+	0.393857i
$688$	7.47815	−	2.42980i	0.285102	−	0.0926352i
$689$	0.00795419	−	0.0244805i	0.000303031	−	0.000932632i
$690$	−11.0835	−	32.8658i	−0.421942	−	1.25118i
$691$	14.9099	+	45.8878i	0.567198	+	1.74565i	0.661330	+	0.750095i	$0.269992\pi$
$691$	14.9099	+	45.8878i	0.567198	+	1.74565i	−0.0941325	+	0.995560i	$0.530008\pi$
$692$	5.64131	+	7.76459i	0.214450	+	0.295166i
$693$		−	17.5345i		−	0.666080i
$694$	−18.0297	+	13.0993i	−0.684397	+	0.497243i
$695$	−49.0620	−	15.3413i	−1.86103	−	0.581931i
$696$	14.6733	+	10.6608i	0.556191	+	0.404096i
$697$	7.86038	−	10.8189i	0.297733	−	0.409794i
$698$	7.00460	+	2.27593i	0.265128	+	0.0861454i
$699$	−1.84469			−0.0697727
$700$	−2.84842	+	4.10932i	−0.107660	+	0.155318i
$701$	11.8399			0.447185			0.223593	−	0.974683i	$-0.428221\pi$
$701$	11.8399			0.447185			0.223593	+	0.974683i	$0.428221\pi$
$702$	−0.101608	−	0.0330145i	−0.00383495	−	0.00124605i
$703$	0.107744	−	0.148297i	0.00406364	−	0.00559312i
$704$	−5.04394	−	3.66464i	−0.190101	−	0.138116i
$705$	−24.7187	+	8.33600i	−0.930960	+	0.313952i
$706$	−0.149555	+	0.108658i	−0.00562858	+	0.00408940i
$707$			10.8232i			0.407047i
$708$	−5.07010	−	6.97839i	−0.190546	−	0.262264i
$709$	−12.4066	−	38.1837i	−0.465940	−	1.43402i	−0.857796	−	0.513990i	$-0.828167\pi$
$709$	−12.4066	−	38.1837i	−0.465940	−	1.43402i	0.391856	−	0.920027i	$-0.371833\pi$
$710$	−4.81774	+	3.58266i	−0.180807	+	0.134455i
$711$	−10.9907	+	33.8260i	−0.412185	+	1.26858i
$712$	−1.68755	+	0.548317i	−0.0632435	+	0.0205491i
$713$	−5.55652	+	1.80542i	−0.208093	+	0.0676136i
$714$	−3.17770	+	9.77996i	−0.118922	+	0.366006i
$715$	−3.29336	+	0.0365533i	−0.123165	+	0.00136701i
$716$	−0.395680	−	1.21778i	−0.0147872	−	0.0455104i
$717$	−9.14826	−	12.5915i	−0.341648	−	0.470238i
$718$			20.9553i			0.782046i
$719$	−12.1594	+	8.83435i	−0.453471	+	0.329466i	−0.790965	−	0.611862i	$-0.790421\pi$
$719$	−12.1594	+	8.83435i	−0.453471	+	0.329466i	0.337494	+	0.941328i	$0.390421\pi$
$720$	−3.75269	−	5.04639i	−0.139854	−	0.188068i
$721$	6.29493	+	4.57353i	0.234435	+	0.170327i
$722$	−11.1673	+	15.3704i	−0.415603	+	0.572028i
$723$	−48.4581	−	15.7450i	−1.80218	−	0.585563i
$724$	5.87928			0.218502
$725$	−30.9145	−	21.4287i	−1.14813	−	0.795842i
$726$	−67.1938			−2.49380
$727$	21.9246	+	7.12372i	0.813137	+	0.264204i	0.685926	−	0.727671i	$-0.259397\pi$
$727$	21.9246	+	7.12372i	0.813137	+	0.264204i	0.127211	+	0.991876i	$0.459397\pi$
$728$	−0.138863	+	0.191129i	−0.00514662	+	0.00708371i
$729$	−19.0319	−	13.8275i	−0.704885	−	0.512129i
$730$	−12.2138	+	17.2093i	−0.452053	+	0.636945i
$731$	−27.1330	+	19.7133i	−1.00355	+	0.729121i
$732$			31.4372i			1.16195i
$733$	−27.6172	−	38.0118i	−1.02006	−	1.40400i	−0.912158	−	0.409838i	$-0.865585\pi$
$733$	−27.6172	−	38.0118i	−1.02006	−	1.40400i	−0.107907	−	0.994161i	$-0.534415\pi$
$734$	3.33178	+	10.2542i	0.122978	+	0.378488i
$735$	4.39625	+	3.12011i	0.162158	+	0.115087i
$736$	−1.98816	+	6.11894i	−0.0732847	+	0.225547i
$737$	−45.6913	+	14.8460i	−1.68306	+	0.546860i
$738$	8.38610	−	2.72481i	0.308697	−	0.100302i
$739$	−4.37815	+	13.4746i	−0.161053	+	0.495670i	−0.998724	−	0.0505052i	$-0.983917\pi$
$739$	−4.37815	+	13.4746i	−0.161053	+	0.495670i	0.837671	+	0.546176i	$0.183917\pi$
$740$	−3.66733	+	11.7282i	−0.134814	+	0.431138i
$741$	−0.00587084	−	0.0180686i	−0.000215671	−	0.000663766i
$742$	0.0640418	+	0.0881460i	0.00235105	+	0.00323594i
$743$		−	31.7647i		−	1.16533i	−0.812711	−	0.582667i	$-0.802009\pi$
$743$		−	31.7647i		−	1.16533i	0.812711	−	0.582667i	$-0.197991\pi$
$744$	−1.77118	+	1.28684i	−0.0649346	+	0.0471778i
$745$	−0.502019	−	45.2307i	−0.0183926	−	1.65712i
$746$	27.7091	+	20.1319i	1.01450	+	0.737079i
$747$	−13.3047	+	18.3124i	−0.486795	+	0.670016i
$748$	25.2913	+	8.21763i	0.924740	+	0.300466i
$749$	−2.75710			−0.100742
$750$	16.5607	+	21.2673i	0.604711	+	0.776570i
$751$	47.1624			1.72098			0.860489	−	0.509468i	$-0.170158\pi$
$751$	47.1624			1.72098			0.860489	+	0.509468i	$0.170158\pi$
$752$	4.60211	+	1.49532i	0.167822	+	0.0545286i
$753$	38.4919	−	52.9796i	1.40272	−	1.93068i
$754$	−1.43787	−	1.04467i	−0.0523640	−	0.0380447i
$755$	0.548716	+	49.4380i	0.0199698	+	1.79923i
$756$	0.365857	−	0.265810i	0.0133061	−	0.00966743i
$757$			1.22255i			0.0444345i	0.999753	+	0.0222173i	$0.00707255\pi$
$757$			1.22255i			0.0444345i	−0.999753	+	0.0222173i	$0.992927\pi$
$758$	10.8073	+	14.8750i	0.392541	+	0.540286i
$759$	29.8843	+	91.9745i	1.08473	+	3.33846i
$760$	−0.0222595	+	0.0711866i	−0.000807438	+	0.00258221i
$761$	−11.7774	+	36.2470i	−0.426929	+	1.31395i	0.474206	+	0.880414i	$0.342735\pi$
$761$	−11.7774	+	36.2470i	−0.426929	+	1.31395i	−0.901135	+	0.433538i	$0.857265\pi$
$762$	44.7587	−	14.5430i	1.62144	−	0.526837i
$763$	−11.8447	+	3.84856i	−0.428806	+	0.139327i
$764$	−4.45759	+	13.7190i	−0.161270	+	0.496337i
$765$	21.8744	+	15.5247i	0.790872	+	0.561298i
$766$	−1.61321	−	4.96494i	−0.0582875	−	0.179391i
$767$	0.496829	+	0.683826i	0.0179394	+	0.0246915i
$768$			2.41090i			0.0869958i
$769$	−10.0703	+	7.31653i	−0.363146	+	0.263841i	−0.754363	−	0.656458i	$-0.772054\pi$
$769$	−10.0703	+	7.31653i	−0.363146	+	0.263841i	0.391217	+	0.920298i	$0.372054\pi$
$770$	8.06870	−	11.3688i	0.290776	−	0.409705i
$771$	−24.4223	−	17.7438i	−0.879548	−	0.639029i
$772$	9.30080	−	12.8014i	0.334743	−	0.460734i
$773$	25.6194	+	8.32426i	0.921467	+	0.299403i	0.731068	−	0.682304i	$-0.239022\pi$
$773$	25.6194	+	8.32426i	0.921467	+	0.299403i	0.190398	+	0.981707i	$0.439022\pi$
$774$	−22.1141			−0.794874
$775$	3.61314	−	2.74967i	0.129788	−	0.0987710i
$776$	−17.8045			−0.639146
$777$	12.6005	+	4.09416i	0.452042	+	0.146877i
$778$	−11.9630	+	16.4657i	−0.428896	+	0.590324i
$779$	−0.0846058	−	0.0614697i	−0.00303132	−	0.00220238i
$780$	0.759992	+	1.02199i	0.0272121	+	0.0365932i
$781$	13.5430	−	9.83954i	0.484605	−	0.352086i
$782$		−	27.4424i		−	0.981338i
$783$	1.99970	+	2.75234i	0.0714633	+	0.0983608i
$784$	−0.309017	−	0.951057i	−0.0110363	−	0.0339663i
$785$	6.74362	−	0.0748479i	0.240690	−	0.00267144i
$786$	7.02007	−	21.6056i	0.250398	−	0.770645i
$787$	33.9815	−	11.0412i	1.21131	−	0.393578i	0.367399	−	0.930063i	$-0.380248\pi$
$787$	33.9815	−	11.0412i	1.21131	−	0.393578i	0.843910	+	0.536485i	$0.180248\pi$
$788$	25.0733	−	8.14681i	0.893200	−	0.290218i
$789$	6.46198	−	19.8879i	0.230053	−	0.708029i
$790$	−22.6915	+	16.8743i	−0.807327	+	0.600360i
$791$	−0.979106	−	3.01338i	−0.0348130	−	0.107143i
$792$	10.3065	+	14.1857i	0.366226	+	0.504067i
$793$		−	3.08059i		−	0.109395i
$794$	−10.4475	+	7.59054i	−0.370767	+	0.269378i
$795$	0.556569	−	0.187695i	0.0197395	−	0.00665684i
$796$	7.09918	+	5.15786i	0.251624	+	0.182815i
$797$	−3.59380	+	4.94644i	−0.127299	+	0.175212i	−0.867909	−	0.496723i	$-0.834537\pi$
$797$	−3.59380	+	4.94644i	−0.127299	+	0.175212i	0.740610	+	0.671935i	$0.234537\pi$
$798$	0.0764813	+	0.0248503i	0.00270741	+	0.000879690i
$799$	−20.6397			−0.730180
$800$	−0.110977	−	4.99877i	−0.00392363	−	0.176733i
$801$	4.99034			0.176325
$802$	−12.0793	−	3.92479i	−0.426534	−	0.138589i
$803$	34.5852	−	47.6025i	1.22049	−	1.67985i
$804$	15.0297	+	10.9198i	0.530058	+	0.385110i
$805$	−13.7309	−	4.29355i	−0.483949	−	0.151328i
$806$	0.173561	−	0.126100i	0.00611344	−	0.00444167i
$807$			36.0852i			1.27026i
$808$	−6.36170	−	8.75613i	−0.223804	−	0.308040i
$809$	−6.60904	−	20.3405i	−0.232361	−	0.715135i	−0.997460	−	0.0712221i	$-0.977310\pi$
$809$	−6.60904	−	20.3405i	−0.232361	−	0.715135i	0.765099	−	0.643912i	$-0.222690\pi$
$810$	−6.80783	−	20.1872i	−0.239203	−	0.709306i
$811$	−3.38844	+	10.4286i	−0.118984	+	0.366196i	−0.992757	−	0.120138i	$-0.961666\pi$
$811$	−3.38844	+	10.4286i	−0.118984	+	0.366196i	0.873773	+	0.486334i	$0.161666\pi$
$812$	7.15481	−	2.32474i	0.251085	−	0.0815824i
$813$	37.8074	−	12.2844i	1.32596	−	0.430831i
$814$	10.5876	−	32.5854i	0.371096	−	1.14212i
$815$	−5.32113	−	15.7787i	−0.186391	−	0.552704i
$816$	−3.17770	−	9.77996i	−0.111242	−	0.342367i
$817$	0.154162	+	0.212185i	0.00539343	+	0.00742343i
$818$			2.14294i			0.0749261i
$819$	0.537536	−	0.390543i	0.0187830	−	0.0136467i
$820$	6.69115	+	2.09227i	0.233665	+	0.0730654i
$821$	7.03501	+	5.11124i	0.245524	+	0.178383i	0.703741	−	0.710457i	$-0.251512\pi$
$821$	7.03501	+	5.11124i	0.245524	+	0.178383i	−0.458217	+	0.888840i	$0.651512\pi$
$822$	−17.6881	+	24.3455i	−0.616942	+	0.849148i
$823$	35.6638	+	11.5879i	1.24316	+	0.403928i	0.855466	−	0.517859i	$-0.173271\pi$
$823$	35.6638	+	11.5879i	1.24316	+	0.403928i	0.387696	+	0.921787i	$0.373271\pi$
$824$	−7.78096			−0.271063
$825$	−45.5140	−	59.8066i	−1.58459	−	2.08220i
$826$	−3.57782			−0.124488
$827$	−33.5736	−	10.9087i	−1.16747	−	0.379333i	−0.339771	−	0.940508i	$-0.610349\pi$
$827$	−33.5736	−	10.9087i	−1.16747	−	0.379333i	−0.827697	+	0.561175i	$0.810349\pi$
$828$	10.6358	−	14.6389i	0.369619	−	0.508737i
$829$	−11.9932	−	8.71354i	−0.416539	−	0.302634i	0.359704	−	0.933066i	$-0.382878\pi$
$829$	−11.9932	−	8.71354i	−0.416539	−	0.302634i	−0.776244	+	0.630433i	$0.782878\pi$
$830$	−17.0531	+	5.75089i	−0.591921	+	0.199616i
$831$	6.09983	−	4.43179i	0.211601	−	0.153737i
$832$		−	0.236248i		−	0.00819044i
$833$	2.50709	+	3.45072i	0.0868657	+	0.119560i
$834$	−17.1269	−	52.7112i	−0.593056	−	1.82524i
$835$	41.2296	−	30.6599i	1.42681	−	1.06103i
$836$	0.0642635	−	0.197783i	0.00222260	−	0.00684046i
$837$	−0.390559	+	0.126900i	−0.0134997	+	0.00438631i
$838$	9.93673	−	3.22864i	0.343258	−	0.111531i
$839$	−10.7899	+	33.2079i	−0.372509	+	1.14647i	0.572635	+	0.819811i	$0.305921\pi$
$839$	−10.7899	+	33.2079i	−0.372509	+	1.14647i	−0.945144	+	0.326655i	$0.894079\pi$
$840$	−5.39060	+	0.0598307i	−0.185993	+	0.00206435i
$841$	8.52755	+	26.2451i	0.294054	+	0.905004i
$842$	3.38583	+	4.66019i	0.116683	+	0.160601i
$843$			62.4307i			2.15023i
$844$	3.38366	−	2.45838i	0.116471	−	0.0846208i
$845$	17.2717	+	23.2260i	0.594166	+	0.798999i
$846$	−11.0101	−	7.99928i	−0.378534	−	0.275021i
$847$	−16.3821	+	22.5480i	−0.562896	+	0.774759i
$848$	−0.103622	−	0.0336688i	−0.00355839	−	0.00115619i
$849$	−61.2621			−2.10251
$850$	7.03885	+	20.1315i	0.241431	+	0.690506i
$851$	−35.3569			−1.21202
$852$	−6.15643	−	2.00034i	−0.210916	−	0.0685307i
$853$	24.4875	−	33.7041i	0.838435	−	1.15401i	−0.147859	−	0.989008i	$-0.547238\pi$
$853$	24.4875	−	33.7041i	0.838435	−	1.15401i	0.986294	−	0.164998i	$-0.0527618\pi$
$854$	10.5493	+	7.66451i	0.360989	+	0.262274i
$855$	0.121407	−	0.171063i	0.00415202	−	0.00585022i
$856$	2.23054	−	1.62058i	0.0762383	−	0.0553904i
$857$			42.0520i			1.43647i	0.695801	+	0.718234i	$0.255049\pi$
$857$			42.0520i			1.43647i	−0.695801	+	0.718234i	$0.744951\pi$
$858$	−2.08727	−	2.87288i	−0.0712582	−	0.0980785i
$859$	5.03513	+	15.4965i	0.171796	+	0.528735i	0.999473	−	0.0324711i	$-0.0103377\pi$
$859$	5.03513	+	15.4965i	0.171796	+	0.528735i	−0.827676	+	0.561206i	$0.810338\pi$
$860$	−14.3381	−	10.1760i	−0.488925	−	0.347000i
$861$	2.33579	−	7.18882i	0.0796035	−	0.244994i
$862$	−19.6989	+	6.40057i	−0.670948	+	0.218004i
$863$	37.3515	−	12.1362i	1.27146	−	0.413123i	0.405896	−	0.913919i	$-0.366960\pi$
$863$	37.3515	−	12.1362i	1.27146	−	0.413123i	0.865565	+	0.500797i	$0.166960\pi$
$864$	−0.139745	+	0.430090i	−0.00475421	+	0.0146320i
$865$	6.40482	−	20.4828i	0.217771	−	0.696436i
$866$	3.27577	+	10.0818i	0.111315	+	0.342593i
$867$	1.69057	+	2.32687i	0.0574147	+	0.0790245i
$868$			0.908085i			0.0308224i
$869$	63.7872	−	46.3441i	2.16383	−	1.57212i
$870$	−0.450107	−	40.5535i	−0.0152601	−	1.37489i
$871$	−1.47279	−	1.07005i	−0.0499037	−	0.0362572i
$872$	7.32040	−	10.0757i	0.247900	−	0.341205i
$873$	47.6231	+	15.4737i	1.61180	+	0.523705i
$874$	−0.214605			−0.00725912
$875$	11.1741	−	0.372190i	0.377755	−	0.0125823i
$876$	−22.7530			−0.768752
$877$	−16.0294	−	5.20828i	−0.541276	−	0.175871i	0.0256033	−	0.999672i	$-0.491849\pi$
$877$	−16.0294	−	5.20828i	−0.541276	−	0.175871i	−0.566879	+	0.823801i	$0.691849\pi$
$878$	−3.21736	+	4.42832i	−0.108581	+	0.149449i
$879$	−26.4134	−	19.1905i	−0.890902	−	0.647279i
$880$	0.154724	+	13.9402i	0.00521574	+	0.469926i
$881$	2.25800	−	1.64053i	0.0760739	−	0.0552709i	−0.549098	−	0.835758i	$-0.685029\pi$
$881$	2.25800	−	1.64053i	0.0760739	−	0.0552709i	0.625172	+	0.780487i	$0.285029\pi$
$882$			2.81243i			0.0946993i
$883$	−6.21036	−	8.54783i	−0.208995	−	0.287657i	0.691632	−	0.722250i	$-0.256892\pi$
$883$	−6.21036	−	8.54783i	−0.208995	−	0.287657i	−0.900627	+	0.434593i	$0.856892\pi$
$884$	0.311389	+	0.958357i	0.0104731	+	0.0322330i
$885$	−5.75630	+	18.4088i	−0.193496	+	0.618805i
$886$	1.64057	−	5.04914i	0.0551159	−	0.169629i
$887$	3.35069	−	1.08871i	0.112505	−	0.0365552i	−0.252223	−	0.967669i	$-0.581162\pi$
$887$	3.35069	−	1.08871i	0.112505	−	0.0365552i	0.364729	+	0.931114i	$0.381162\pi$
$888$	−12.6005	+	4.09416i	−0.422846	+	0.137391i
$889$	6.03219	−	18.5652i	0.202313	−	0.622656i
$890$	3.23559	+	2.29636i	0.108457	+	0.0769743i
$891$	18.3559	+	56.4936i	0.614945	+	1.89261i
$892$	−10.8875	−	14.9853i	−0.364539	−	0.501745i
$893$			0.161407i			0.00540126i
$894$	39.4559	−	28.6664i	1.31960	−	0.958746i
$895$	−1.65711	+	2.33488i	−0.0553912	+	0.0780466i
$896$	0.809017	+	0.587785i	0.0270274	+	0.0196365i
$897$	−2.15395	+	2.96466i	−0.0719184	+	0.0989872i
$898$	−8.86505	−	2.88043i	−0.295830	−	0.0961211i
$899$	−6.83154			−0.227845
$900$	−4.04753	+	13.4670i	−0.134918	+	0.448901i
$901$	0.464726			0.0154823
$902$	−18.5905	−	6.04042i	−0.618996	−	0.201124i
$903$	−11.1426	+	15.3364i	−0.370801	+	0.510364i
$904$	2.56333	+	1.86237i	0.0852552	+	0.0619415i
$905$	−7.84487	−	10.5493i	−0.260772	−	0.350671i
$906$	−43.1260	+	31.3329i	−1.43276	+	1.04096i
$907$			3.02599i			0.100476i	0.998737	+	0.0502382i	$0.0159980\pi$
$907$			3.02599i			0.100476i	−0.998737	+	0.0502382i	$0.984002\pi$
$908$	−5.03145	−	6.92520i	−0.166975	−	0.229821i
$909$	9.40628	+	28.9496i	0.311987	+	0.960196i
$910$	0.528235	−	0.00586292i	0.0175108	−	0.000194354i
$911$	3.55485	−	10.9407i	0.117777	−	0.362482i	−0.874739	−	0.484595i	$-0.838967\pi$
$911$	3.55485	−	10.9407i	0.117777	−	0.362482i	0.992516	+	0.122113i	$0.0389671\pi$
$912$	−0.0764813	+	0.0248503i	−0.00253255	+	0.000822875i
$913$	47.7228	−	15.5061i	1.57939	−	0.513176i
$914$	7.57466	−	23.3124i	0.250547	−	0.771105i
$915$	56.4084	−	41.9474i	1.86480	−	1.38674i
$916$	−4.28191	−	13.1784i	−0.141478	−	0.435426i
$917$	−5.53859	−	7.62322i	−0.182900	−	0.251741i
$918$		−	1.92888i		−	0.0636625i
$919$	−9.35768	+	6.79876i	−0.308681	+	0.224270i	−0.731331	−	0.682023i	$-0.761100\pi$
$919$	−9.35768	+	6.79876i	−0.308681	+	0.224270i	0.422649	+	0.906293i	$0.361100\pi$
$920$	13.6322	−	4.59725i	0.449440	−	0.151567i
$921$	−6.49269	−	4.71722i	−0.213941	−	0.155438i
$922$	−2.11025	+	2.90451i	−0.0694974	+	0.0956550i
$923$	0.603280	+	0.196018i	0.0198572	+	0.00645200i
$924$	15.0311			0.494487
$925$	25.9376	−	9.06888i	0.852822	−	0.298183i
$926$	−3.30222			−0.108518
$927$	20.8123	+	6.76233i	0.683566	+	0.222104i
$928$	−4.42192	+	6.08625i	−0.145157	+	0.199791i
$929$	−5.03456	−	3.65782i	−0.165179	−	0.120009i	0.502125	−	0.864795i	$-0.332552\pi$
$929$	−5.03456	−	3.65782i	−0.165179	−	0.120009i	−0.667304	+	0.744786i	$0.732552\pi$
$930$	4.67233	+	1.46100i	0.153212	+	0.0479082i
$931$	0.0269853	−	0.0196060i	0.000884408	−	0.000642560i
$932$		−	0.765148i		−	0.0250633i
$933$	2.78897	+	3.83868i	0.0913067	+	0.125673i
$934$	−11.9948	−	36.9161i	−0.392481	−	1.20793i
$935$	−19.0017	−	56.3456i	−0.621422	−	1.84270i
$936$	−0.205320	+	0.631911i	−0.00671111	+	0.0206547i
$937$	−21.8238	+	7.09098i	−0.712952	+	0.231652i	−0.642965	−	0.765896i	$-0.722296\pi$
$937$	−21.8238	+	7.09098i	−0.712952	+	0.231652i	−0.0699875	+	0.997548i	$0.522296\pi$
$938$	7.32861	−	2.38121i	0.239288	−	0.0777493i
$939$	−1.76832	+	5.44231i	−0.0577068	+	0.177603i
$940$	−3.45764	−	10.2529i	−0.112776	−	0.334413i
$941$	−8.36353	−	25.7403i	−0.272643	−	0.839110i	−0.989833	−	0.142232i	$-0.954572\pi$
$941$	−8.36353	−	25.7403i	−0.272643	−	0.839110i	0.717190	−	0.696878i	$-0.245428\pi$
$942$	4.27398	+	5.88262i	0.139254	+	0.191666i
$943$			20.1717i			0.656881i
$944$	2.89452	−	2.10299i	0.0942086	−	0.0684466i
$945$	−0.965120	−	0.301786i	−0.0313954	−	0.00981710i
$946$	39.6605	+	28.8150i	1.28947	+	0.936857i
$947$	−2.07926	+	2.86185i	−0.0675668	+	0.0929977i	−0.841463	−	0.540315i	$-0.818305\pi$
$947$	−2.07926	+	2.86185i	−0.0675668	+	0.0929977i	0.773896	+	0.633312i	$0.218305\pi$
$948$	−28.9967	−	9.42160i	−0.941769	−	0.305999i
$949$	2.22961			0.0723761
$950$	0.157433	−	0.0550452i	0.00510779	−	0.00178590i
$951$	64.9454			2.10600
$952$	−4.05656	−	1.31806i	−0.131474	−	0.0427185i
$953$	−12.3401	+	16.9847i	−0.399734	+	0.550187i	−0.960677	−	0.277667i	$-0.910439\pi$
$953$	−12.3401	+	16.9847i	−0.399734	+	0.550187i	0.560943	+	0.827854i	$0.310439\pi$
$954$	0.247904	+	0.180113i	0.00802619	+	0.00583137i
$955$	30.5642	−	10.3073i	0.989034	−	0.333537i
$956$	5.22274	−	3.79454i	0.168916	−	0.122724i
$957$			113.079i			3.65533i
$958$	9.05879	+	12.4684i	0.292676	+	0.402834i
$959$	3.85714	+	11.8711i	0.124554	+	0.383336i
$960$	4.32592	−	3.21692i	0.139618	−	0.103826i
$961$	−9.32471	+	28.6985i	−0.300797	+	0.925758i
$962$	1.23475	−	0.401195i	0.0398100	−	0.0129350i
$963$	−7.37462	+	2.39616i	−0.237644	+	0.0772152i
$964$	6.53076	−	20.0996i	0.210342	−	0.647365i
$965$	−35.3802	+	0.392687i	−1.13893	+	0.0126410i
$966$	−4.79326	−	14.7521i	−0.154221	−	0.474642i
$967$	6.73397	+	9.26852i	0.216550	+	0.298056i	0.903447	−	0.428699i	$-0.141028\pi$
$967$	6.73397	+	9.26852i	0.216550	+	0.298056i	−0.686897	+	0.726754i	$0.741028\pi$
$968$		−	27.8709i		−	0.895804i
$969$	0.277497	−	0.201613i	0.00891449	−	0.00647675i
$970$	23.7570	+	31.9470i	0.762792	+	1.02576i
$971$	27.6167	+	20.0647i	0.886262	+	0.643907i	0.934901	−	0.354909i	$-0.115488\pi$
$971$	27.6167	+	20.0647i	0.886262	+	0.643907i	−0.0486383	+	0.998816i	$0.515488\pi$
$972$	12.7039	−	17.4855i	0.407479	−	0.560847i
$973$	−21.8637	−	7.10395i	−0.700918	−	0.227742i
$974$	18.2935			0.586161
$975$	0.819703	−	2.72733i	0.0262515	−	0.0873446i
$976$	−13.0396			−0.417389
$977$	−42.3086	−	13.7469i	−1.35357	−	0.439802i	−0.459680	−	0.888085i	$-0.652036\pi$
$977$	−42.3086	−	13.7469i	−1.35357	−	0.439802i	−0.893892	+	0.448283i	$0.852036\pi$
$978$	10.5529	−	14.5249i	0.337446	−	0.464454i
$979$	−8.94992	−	6.50250i	−0.286041	−	0.207821i
$980$	−1.29417	+	1.82349i	−0.0413407	+	0.0582493i
$981$	−28.3371	+	20.5881i	−0.904733	+	0.657327i
$982$		−	14.0070i		−	0.446983i
$983$	23.5032	+	32.3494i	0.749636	+	1.03178i	0.998006	+	0.0631198i	$0.0201050\pi$
$983$	23.5032	+	32.3494i	0.749636	+	1.03178i	−0.248370	+	0.968665i	$0.579895\pi$
$984$	2.33579	+	7.18882i	0.0744622	+	0.229171i
$985$	−48.0739	−	34.1190i	−1.53176	−	1.08712i
$986$	9.91577	−	30.5176i	0.315782	−	0.971878i
$987$	−11.0952	+	3.60506i	−0.353165	+	0.114750i
$988$	0.00749454	−	0.00243512i	0.000238433	−	7.74716e-5i
$989$	15.6329	−	48.1132i	0.497098	−	1.52991i
$990$	11.7014	−	37.4215i	0.371896	−	1.18933i
$991$	−16.7228	−	51.4673i	−0.531216	−	1.63491i	−0.751687	−	0.659520i	$-0.770759\pi$
$991$	−16.7228	−	51.4673i	−0.531216	−	1.63491i	0.220471	−	0.975394i	$-0.429241\pi$
$992$	−0.533759	−	0.734656i	−0.0169469	−	0.0233254i
$993$		−	43.9128i		−	1.39353i
$994$	−2.17221	+	1.57820i	−0.0688983	+	0.0500575i
$995$	−0.217769	−	19.6204i	−0.00690374	−	0.622010i
$996$	−15.6980	−	11.4052i	−0.497409	−	0.361389i
$997$	−9.37117	+	12.8983i	−0.296788	+	0.408494i	−0.931204	−	0.364498i	$-0.881241\pi$
$997$	−9.37117	+	12.8983i	−0.296788	+	0.408494i	0.634416	+	0.772992i	$0.281241\pi$
$998$	7.73915	+	2.51460i	0.244978	+	0.0795983i
$999$	−2.48518			−0.0786275

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	350.2.m.a.29.6	✓	24
25.12	odd	20		8750.2.a.z.1.11		12
25.13	odd	20		8750.2.a.bb.1.2		12
25.19	even	10	inner	350.2.m.a.169.6	yes	24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
350.2.m.a.29.6	✓	24	1.1	even	1	trivial
350.2.m.a.169.6	yes	24	25.19	even	10	inner
8750.2.a.z.1.11		12	25.12	odd	20
8750.2.a.bb.1.2		12	25.13	odd	20

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:	\( N \)	\(=\)	\( 350 = 2 \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	350.m (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.951057 + 0.309017i) q^{2} +(1.41709 - 1.95046i) q^{3} +(0.809017 + 0.587785i) q^{4} +(-0.0248168 - 2.23593i) q^{5} +(1.95046 - 1.41709i) q^{6} -1.00000i q^{7} +(0.587785 + 0.809017i) q^{8} +(-0.869087 - 2.67478i) q^{9} +O(q^{10})\)	\(q+(0.951057 + 0.309017i) q^{2} +(1.41709 - 1.95046i) q^{3} +(0.809017 + 0.587785i) q^{4} +(-0.0248168 - 2.23593i) q^{5} +(1.95046 - 1.41709i) q^{6} -1.00000i q^{7} +(0.587785 + 0.809017i) q^{8} +(-0.869087 - 2.67478i) q^{9} +(0.667338 - 2.13416i) q^{10} +(-1.92661 + 5.92951i) q^{11} +(2.29290 - 0.745008i) q^{12} +(-0.224686 + 0.0730048i) q^{13} +(0.309017 - 0.951057i) q^{14} +(-4.39625 - 3.12011i) q^{15} +(0.309017 + 0.951057i) q^{16} +(-2.50709 - 3.45072i) q^{17} -2.81243i q^{18} +(-0.0269853 + 0.0196060i) q^{19} +(1.29417 - 1.82349i) q^{20} +(-1.95046 - 1.41709i) q^{21} +(-3.66464 + 5.04394i) q^{22} +(6.11894 + 1.98816i) q^{23} +2.41090 q^{24} +(-4.99877 + 0.110977i) q^{25} -0.236248 q^{26} +(0.430090 + 0.139745i) q^{27} +(0.587785 - 0.809017i) q^{28} +(6.08625 + 4.42192i) q^{29} +(-3.21692 - 4.32592i) q^{30} +(-0.734656 + 0.533759i) q^{31} +1.00000i q^{32} +(8.83506 + 12.1604i) q^{33} +(-1.31806 - 4.05656i) q^{34} +(-2.23593 + 0.0248168i) q^{35} +(0.869087 - 2.67478i) q^{36} +(-5.22649 + 1.69819i) q^{37} +(-0.0317232 + 0.0103075i) q^{38} +(-0.176007 + 0.541694i) q^{39} +(1.79432 - 1.33432i) q^{40} +(0.968847 + 2.98180i) q^{41} +(-1.41709 - 1.95046i) q^{42} -7.86299i q^{43} +(-5.04394 + 3.66464i) q^{44} +(-5.95904 + 2.00960i) q^{45} +(5.20508 + 3.78171i) q^{46} +(2.84426 - 3.91479i) q^{47} +(2.29290 + 0.745008i) q^{48} -1.00000 q^{49} +(-4.78840 - 1.43916i) q^{50} -10.2833 q^{51} +(-0.224686 - 0.0730048i) q^{52} +(-0.0640418 + 0.0881460i) q^{53} +(0.365857 + 0.265810i) q^{54} +(13.3058 + 4.16062i) q^{55} +(0.809017 - 0.587785i) q^{56} +0.0804171i q^{57} +(4.42192 + 6.08625i) q^{58} +(-1.10561 - 3.40271i) q^{59} +(-1.72269 - 5.10827i) q^{60} +(-4.02947 + 12.4014i) q^{61} +(-0.863640 + 0.280614i) q^{62} +(-2.67478 + 0.869087i) q^{63} +(-0.309017 + 0.951057i) q^{64} +(0.168810 + 0.500570i) q^{65} +(4.64487 + 14.2954i) q^{66} +(4.52933 + 6.23409i) q^{67} -4.26532i q^{68} +(12.5489 - 9.11732i) q^{69} +(-2.13416 - 0.667338i) q^{70} +(-2.17221 - 1.57820i) q^{71} +(1.65310 - 2.27530i) q^{72} +(-8.97565 - 2.91637i) q^{73} -5.49546 q^{74} +(-6.86725 + 9.90715i) q^{75} -0.0333557 q^{76} +(5.92951 + 1.92661i) q^{77} +(-0.334785 + 0.460792i) q^{78} +(-10.2311 - 7.43331i) q^{79} +(2.11883 - 0.714543i) q^{80} +(7.70794 - 5.60015i) q^{81} +3.13525i q^{82} +(-4.73070 - 6.51125i) q^{83} +(-0.745008 - 2.29290i) q^{84} +(-7.65335 + 5.69132i) q^{85} +(2.42980 - 7.47815i) q^{86} +(17.2495 - 5.60471i) q^{87} +(-5.92951 + 1.92661i) q^{88} +(-0.548317 + 1.68755i) q^{89} +(-6.28839 + 0.0697953i) q^{90} +(0.0730048 + 0.224686i) q^{91} +(3.78171 + 5.20508i) q^{92} +2.18930i q^{93} +(3.91479 - 2.84426i) q^{94} +(0.0445073 + 0.0598507i) q^{95} +(1.95046 + 1.41709i) q^{96} +(-10.4652 + 14.4042i) q^{97} +(-0.951057 - 0.309017i) q^{98} +17.5345 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q + 6 q^{4} + 10 q^{5} + 2 q^{6} + 8 q^{9}+O(q^{10}) \) 24 * q + 6 * q^4 + 10 * q^5 + 2 * q^6 + 8 * q^9	\( 24 q + 6 q^{4} + 10 q^{5} + 2 q^{6} + 8 q^{9} + 2 q^{11} + 10 q^{12} - 6 q^{14} + 20 q^{15} - 6 q^{16} - 22 q^{19} - 2 q^{21} - 10 q^{22} - 10 q^{23} + 8 q^{24} - 10 q^{25} - 4 q^{26} - 30 q^{27} - 12 q^{29} - 10 q^{30} + 20 q^{33} - 8 q^{36} + 10 q^{37} - 10 q^{38} - 48 q^{39} + 10 q^{40} + 42 q^{41} - 2 q^{44} - 40 q^{45} + 10 q^{46} + 30 q^{47} + 10 q^{48} - 24 q^{49} + 20 q^{50} - 52 q^{51} + 10 q^{53} + 4 q^{54} + 10 q^{55} + 6 q^{56} - 20 q^{58} - 10 q^{60} + 46 q^{61} - 20 q^{63} + 6 q^{64} + 10 q^{65} - 10 q^{66} + 10 q^{67} + 32 q^{71} + 30 q^{73} - 28 q^{74} - 10 q^{75} - 48 q^{76} + 20 q^{77} - 20 q^{78} - 44 q^{79} + 76 q^{81} + 50 q^{83} + 2 q^{84} - 50 q^{85} - 6 q^{86} - 20 q^{87} - 20 q^{88} - 4 q^{89} + 50 q^{90} - 6 q^{91} + 30 q^{92} - 6 q^{94} - 60 q^{95} + 2 q^{96} + 30 q^{97} + 56 q^{99}+O(q^{100}) \) 24 * q + 6 * q^4 + 10 * q^5 + 2 * q^6 + 8 * q^9 + 2 * q^11 + 10 * q^12 - 6 * q^14 + 20 * q^15 - 6 * q^16 - 22 * q^19 - 2 * q^21 - 10 * q^22 - 10 * q^23 + 8 * q^24 - 10 * q^25 - 4 * q^26 - 30 * q^27 - 12 * q^29 - 10 * q^30 + 20 * q^33 - 8 * q^36 + 10 * q^37 - 10 * q^38 - 48 * q^39 + 10 * q^40 + 42 * q^41 - 2 * q^44 - 40 * q^45 + 10 * q^46 + 30 * q^47 + 10 * q^48 - 24 * q^49 + 20 * q^50 - 52 * q^51 + 10 * q^53 + 4 * q^54 + 10 * q^55 + 6 * q^56 - 20 * q^58 - 10 * q^60 + 46 * q^61 - 20 * q^63 + 6 * q^64 + 10 * q^65 - 10 * q^66 + 10 * q^67 + 32 * q^71 + 30 * q^73 - 28 * q^74 - 10 * q^75 - 48 * q^76 + 20 * q^77 - 20 * q^78 - 44 * q^79 + 76 * q^81 + 50 * q^83 + 2 * q^84 - 50 * q^85 - 6 * q^86 - 20 * q^87 - 20 * q^88 - 4 * q^89 + 50 * q^90 - 6 * q^91 + 30 * q^92 - 6 * q^94 - 60 * q^95 + 2 * q^96 + 30 * q^97 + 56 * q^99

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