LMFDB - Embedded newform 197.2.d.a.36.13

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [197,2,Mod(36,197)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("197.36"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(197, base_ring=CyclotomicField(14)) chi = DirichletCharacter(H, H._module([12])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 197 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	197.d (of order $7$, degree $6$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

gp:f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$1.57305291982$
Analytic rank:	$0$
Dimension:	$90$
Relative dimension:	$15$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			36.13
Character	$\chi$	$=$	197.36
Dual form			197.2.d.a.104.13

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(1.66827 - 0.803398i) q^{2} +(2.04773 + 0.986133i) q^{3} +(0.890709 - 1.11691i) q^{4} +(-1.79031 - 2.24498i) q^{5} +4.20843 q^{6} +(0.174909 + 0.0842317i) q^{7} +(-0.235439 + 1.03153i) q^{8} +(1.35026 + 1.69317i) q^{9} +(-4.79034 - 2.30690i) q^{10} +(-4.22341 + 2.03389i) q^{11} +(2.92536 - 1.40878i) q^{12} +(-0.297198 - 1.30211i) q^{13} +0.359468 q^{14} +(-1.45222 - 6.36258i) q^{15} +(1.07173 + 4.69556i) q^{16} +(1.15273 + 1.44547i) q^{17} +(3.61289 + 1.73987i) q^{18} +1.11848 q^{19} -4.10209 q^{20} +(0.275102 + 0.344967i) q^{21} +(-5.41179 + 6.78617i) q^{22} +(3.29889 - 1.58866i) q^{23} +(-1.49934 + 1.88011i) q^{24} +(-0.722109 + 3.16377i) q^{25} +(-1.54192 - 1.93350i) q^{26} +(-0.421973 - 1.84878i) q^{27} +(0.249873 - 0.120332i) q^{28} +(-9.03007 + 4.34865i) q^{29} +(-7.53439 - 9.44782i) q^{30} +(6.90424 - 3.32491i) q^{31} +(4.24097 + 5.31801i) q^{32} -10.6541 q^{33} +(3.08435 + 1.48535i) q^{34} +(-0.124043 - 0.543468i) q^{35} +3.09381 q^{36} +(2.30865 - 10.1149i) q^{37} +(1.86593 - 0.898585i) q^{38} +(0.675473 - 2.95944i) q^{39} +(2.73726 - 1.31820i) q^{40} +(2.82958 + 3.54818i) q^{41} +(0.736092 + 0.354483i) q^{42} +(-1.56648 + 0.754376i) q^{43} +(-1.49015 + 6.52879i) q^{44} +(1.38375 - 6.06259i) q^{45} +(4.22712 - 5.30064i) q^{46} +(0.0875886 - 0.383751i) q^{47} +(-2.43583 + 10.6721i) q^{48} +(-4.34093 - 5.44335i) q^{49} +(1.33709 + 5.85817i) q^{50} +(0.935040 + 4.09668i) q^{51} +(-1.71906 - 0.827856i) q^{52} +(0.0136842 - 0.0171594i) q^{53} +(-2.18928 - 2.74527i) q^{54} +(12.1272 + 5.84018i) q^{55} +(-0.128068 + 0.160592i) q^{56} +(2.29034 + 1.10297i) q^{57} +(-11.5709 + 14.5095i) q^{58} +(-4.33709 + 2.08863i) q^{59} +(-8.39996 - 4.04521i) q^{60} +(-0.835095 + 0.402161i) q^{61} +(8.84694 - 11.0937i) q^{62} +(0.0935536 + 0.409885i) q^{63} +(2.66889 + 1.28527i) q^{64} +(-2.39113 + 2.99838i) q^{65} +(-17.7739 + 8.55947i) q^{66} +(-0.377683 + 1.65474i) q^{67} +2.64121 q^{68} +8.32186 q^{69} +(-0.643559 - 0.806997i) q^{70} +(9.94252 + 12.4675i) q^{71} +(-2.06445 + 0.994187i) q^{72} +(-2.80420 + 12.2860i) q^{73} +(-4.27480 - 18.7291i) q^{74} +(-4.59858 + 5.76644i) q^{75} +(0.996240 - 1.24925i) q^{76} -0.910031 q^{77} +(-1.25073 - 5.47983i) q^{78} +(7.88290 - 9.88484i) q^{79} +(8.62269 - 10.8125i) q^{80} +(2.40477 - 10.5360i) q^{81} +(7.57111 + 3.64605i) q^{82} +6.59693 q^{83} +0.630335 q^{84} +(1.18132 - 5.17569i) q^{85} +(-2.00725 + 2.51701i) q^{86} -22.7795 q^{87} +(-1.10365 - 4.83542i) q^{88} +(1.09945 + 0.529468i) q^{89} +(-2.56221 - 11.2258i) q^{90} +(0.0576963 - 0.252784i) q^{91} +(1.16395 - 5.09961i) q^{92} +17.4168 q^{93} +(-0.162183 - 0.710569i) q^{94} +(-2.00242 - 2.51096i) q^{95} +(3.44009 + 15.0720i) q^{96} +(5.39319 + 6.76284i) q^{97} +(-11.6150 - 5.59351i) q^{98} +(-9.14641 - 4.40468i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 90 q - 2 q^{2} - 5 q^{3} - 26 q^{4} + q^{5} - 10 q^{6} - 11 q^{7} - 16 q^{9} + 9 q^{10} - 7 q^{11} + 15 q^{12} + 9 q^{13} - 40 q^{14} - 16 q^{15} - 10 q^{16} + 13 q^{17} + 15 q^{18} - 20 q^{19} + 26 q^{20}+ \cdots + 25 q^{99}+O(q^{100}) $ 90 * q - 2 * q^2 - 5 * q^3 - 26 * q^4 + q^5 - 10 * q^6 - 11 * q^7 - 16 * q^9 + 9 * q^10 - 7 * q^11 + 15 * q^12 + 9 * q^13 - 40 * q^14 - 16 * q^15 - 10 * q^16 + 13 * q^17 + 15 * q^18 - 20 * q^19 + 26 * q^20 + 13 * q^21 - 17 * q^22 + 25 * q^23 - 17 * q^24 + 16 * q^25 - 2 * q^26 - 41 * q^27 - 50 * q^28 - 33 * q^29 - 72 * q^30 - 15 * q^31 + 46 * q^32 - 32 * q^33 + 31 * q^34 + 45 * q^35 - 64 * q^36 - 27 * q^37 + 43 * q^38 + 14 * q^39 + 31 * q^40 + 35 * q^41 + 14 * q^42 + 16 * q^43 + 49 * q^44 - 8 * q^45 + 17 * q^46 - 4 * q^47 + 41 * q^48 - 48 * q^49 - 52 * q^50 + 51 * q^51 - 2 * q^52 + 41 * q^53 + 14 * q^54 + 53 * q^55 + 52 * q^56 - 104 * q^57 - 79 * q^58 - 17 * q^59 + 11 * q^60 + 21 * q^61 + 23 * q^62 + 48 * q^63 + 22 * q^64 + 5 * q^65 - 94 * q^66 - 5 * q^67 - 200 * q^68 + 54 * q^69 + 64 * q^70 - 94 * q^71 + 75 * q^72 + 31 * q^73 + 18 * q^74 + 36 * q^75 - 80 * q^76 + 22 * q^77 - 45 * q^78 - 25 * q^79 + 131 * q^80 + 6 * q^81 + 51 * q^82 - 130 * q^83 + 108 * q^84 - 129 * q^85 + 32 * q^86 + 98 * q^87 + 54 * q^88 + 17 * q^89 - 42 * q^90 - 119 * q^91 + 31 * q^92 + 60 * q^93 - 111 * q^94 - 77 * q^95 - 98 * q^96 + 49 * q^97 + 45 * q^98 + 25 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/197\mathbb{Z}\right)^\times$.

$n$	$2$
$\chi(n)$	$e\left(\frac{6}{7}\right)$

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 $

$2$	1.66827	−	0.803398i	1.17965	−	0.568088i	0.261839	−	0.965112i	$-0.415671\pi$
$2$	1.66827	−	0.803398i	1.17965	−	0.568088i	0.917809	+	0.397023i	$0.129957\pi$
$3$	2.04773	+	0.986133i	1.18226	+	0.569344i	0.918568	−	0.395264i	$-0.129347\pi$
$3$	2.04773	+	0.986133i	1.18226	+	0.569344i	0.263688	+	0.964608i	$0.415061\pi$
$4$	0.890709	−	1.11691i	0.445355	−	0.558457i
$5$	−1.79031	−	2.24498i	−0.800651	−	1.00398i	−0.999712	−	0.0239972i	$-0.992361\pi$
$5$	−1.79031	−	2.24498i	−0.800651	−	1.00398i	0.199061	−	0.979987i	$-0.436211\pi$
$6$	4.20843			1.71808
$7$	0.174909	+	0.0842317i	0.0661094	+	0.0318366i	0.466646	−	0.884444i	$-0.345462\pi$
$7$	0.174909	+	0.0842317i	0.0661094	+	0.0318366i	−0.400537	+	0.916281i	$0.631176\pi$
$8$	−0.235439	+	1.03153i	−0.0832403	+	0.364700i
$9$	1.35026	+	1.69317i	0.450086	+	0.564390i
$10$	−4.79034	−	2.30690i	−1.51484	−	0.729507i
$11$	−4.22341	+	2.03389i	−1.27341	+	0.613240i	−0.943687	−	0.330838i	$-0.892668\pi$
$11$	−4.22341	+	2.03389i	−1.27341	+	0.613240i	−0.329720	+	0.944079i	$0.606954\pi$
$12$	2.92536	−	1.40878i	0.844477	−	0.406679i
$13$	−0.297198	−	1.30211i	−0.0824278	−	0.361140i	0.916846	−	0.399241i	$-0.130726\pi$
$13$	−0.297198	−	1.30211i	−0.0824278	−	0.361140i	−0.999274	+	0.0381010i	$0.987869\pi$
$14$	0.359468			0.0960718
$15$	−1.45222	−	6.36258i	−0.374961	−	1.64281i
$16$	1.07173	+	4.69556i	0.267933	+	1.17389i
$17$	1.15273	+	1.44547i	0.279577	+	0.350579i	0.901717	−	0.432328i	$-0.142308\pi$
$17$	1.15273	+	1.44547i	0.279577	+	0.350579i	−0.622139	+	0.782907i	$0.713736\pi$
$18$	3.61289	+	1.73987i	0.851566	+	0.410092i
$19$	1.11848			0.256597			0.128298	−	0.991736i	$-0.459048\pi$
$19$	1.11848			0.256597			0.128298	+	0.991736i	$0.459048\pi$
$20$	−4.10209			−0.917256
$21$	0.275102	+	0.344967i	0.0600322	+	0.0752780i
$22$	−5.41179	+	6.78617i	−1.15380	+	1.44682i
$23$	3.29889	−	1.58866i	0.687866	−	0.331259i	−0.0570932	−	0.998369i	$-0.518183\pi$
$23$	3.29889	−	1.58866i	0.687866	−	0.331259i	0.744959	+	0.667110i	$0.232469\pi$
$24$	−1.49934	+	1.88011i	−0.306051	+	0.383776i
$25$	−0.722109	+	3.16377i	−0.144422	+	0.632753i
$26$	−1.54192	−	1.93350i	−0.302395	−	0.379192i
$27$	−0.421973	−	1.84878i	−0.0812087	−	0.355799i
$28$	0.249873	−	0.120332i	0.0472215	−	0.0227407i
$29$	−9.03007	+	4.34865i	−1.67684	+	0.807525i	−0.679579	+	0.733603i	$0.737837\pi$
$29$	−9.03007	+	4.34865i	−1.67684	+	0.807525i	−0.997264	+	0.0739221i	$0.976448\pi$
$30$	−7.53439	−	9.44782i	−1.37558	−	1.72493i
$31$	6.90424	−	3.32491i	1.24004	−	0.597171i	0.305214	−	0.952284i	$-0.401272\pi$
$31$	6.90424	−	3.32491i	1.24004	−	0.597171i	0.934823	+	0.355113i	$0.115558\pi$
$32$	4.24097	+	5.31801i	0.749705	+	0.940100i
$33$	−10.6541			−1.85464
$34$	3.08435	+	1.48535i	0.528962	+	0.254735i
$35$	−0.124043	−	0.543468i	−0.0209671	−	0.0918628i
$36$	3.09381			0.515635
$37$	2.30865	−	10.1149i	0.379540	−	1.66287i	−0.319346	−	0.947638i	$-0.603463\pi$
$37$	2.30865	−	10.1149i	0.379540	−	1.66287i	0.698885	−	0.715234i	$-0.253680\pi$
$38$	1.86593	−	0.898585i	0.302694	−	0.145770i
$39$	0.675473	−	2.95944i	0.108162	−	0.473889i
$40$	2.73726	−	1.31820i	0.432799	−	0.208425i
$41$	2.82958	+	3.54818i	0.441906	+	0.554132i	0.952044	−	0.305960i	$-0.0989773\pi$
$41$	2.82958	+	3.54818i	0.441906	+	0.554132i	−0.510139	+	0.860092i	$0.670406\pi$
$42$	0.736092	+	0.354483i	0.113581	+	0.0546979i
$43$	−1.56648	+	0.754376i	−0.238886	+	0.115041i	−0.549497	−	0.835496i	$-0.685181\pi$
$43$	−1.56648	+	0.754376i	−0.238886	+	0.115041i	0.310611	+	0.950537i	$0.399466\pi$
$44$	−1.49015	+	6.52879i	−0.224649	+	0.984253i
$45$	1.38375	−	6.06259i	0.206277	−	0.903758i
$46$	4.22712	−	5.30064i	0.623255	−	0.781537i
$47$	0.0875886	−	0.383751i	0.0127761	−	0.0559758i	−0.968138	−	0.250417i	$-0.919432\pi$
$47$	0.0875886	−	0.383751i	0.0127761	−	0.0559758i	0.980914	+	0.194441i	$0.0622894\pi$
$48$	−2.43583	+	10.6721i	−0.351582	+	1.54038i
$49$	−4.34093	−	5.44335i	−0.620133	−	0.777622i
$50$	1.33709	+	5.85817i	0.189093	+	0.828471i
$51$	0.935040	+	4.09668i	0.130932	+	0.573649i
$52$	−1.71906	−	0.827856i	−0.238391	−	0.114803i
$53$	0.0136842	−	0.0171594i	0.00187967	−	0.00235703i	−0.780891	−	0.624668i	$-0.785234\pi$
$53$	0.0136842	−	0.0171594i	0.00187967	−	0.00235703i	0.782770	+	0.622311i	$0.213806\pi$
$54$	−2.18928	−	2.74527i	−0.297923	−	0.373583i
$55$	12.1272	+	5.84018i	1.63524	+	0.787489i
$56$	−0.128068	+	0.160592i	−0.0171138	+	0.0214600i
$57$	2.29034	+	1.10297i	0.303363	+	0.146092i
$58$	−11.5709	+	14.5095i	−1.51934	+	1.90519i
$59$	−4.33709	+	2.08863i	−0.564642	+	0.271917i	−0.694353	−	0.719635i	$-0.744309\pi$
$59$	−4.33709	+	2.08863i	−0.564642	+	0.271917i	0.129711	+	0.991552i	$0.458595\pi$
$60$	−8.39996	−	4.04521i	−1.08443	−	0.522234i
$61$	−0.835095	+	0.402161i	−0.106923	+	0.0514914i	−0.486581	−	0.873636i	$-0.661756\pi$
$61$	−0.835095	+	0.402161i	−0.106923	+	0.0514914i	0.379658	+	0.925127i	$0.376042\pi$
$62$	8.84694	−	11.0937i	1.12356	−	1.40890i
$63$	0.0935536	+	0.409885i	0.0117866	+	0.0516407i
$64$	2.66889	+	1.28527i	0.333611	+	0.160659i
$65$	−2.39113	+	2.99838i	−0.296583	+	0.371903i
$66$	−17.7739	+	8.55947i	−2.18782	+	1.05360i
$67$	−0.377683	+	1.65474i	−0.0461413	+	0.202158i	−0.992745	−	0.120243i	$-0.961633\pi$
$67$	−0.377683	+	1.65474i	−0.0461413	+	0.202158i	0.946603	+	0.322401i	$0.104490\pi$
$68$	2.64121			0.320294
$69$	8.32186			1.00183
$70$	−0.643559	−	0.806997i	−0.0769200	−	0.0964546i
$71$	9.94252	+	12.4675i	1.17996	+	1.47962i	0.842843	+	0.538160i	$0.180880\pi$
$71$	9.94252	+	12.4675i	1.17996	+	1.47962i	0.337117	+	0.941463i	$0.390548\pi$
$72$	−2.06445	+	0.994187i	−0.243298	+	0.117166i
$73$	−2.80420	+	12.2860i	−0.328206	+	1.43797i	0.494341	+	0.869268i	$0.335410\pi$
$73$	−2.80420	+	12.2860i	−0.328206	+	1.43797i	−0.822547	+	0.568697i	$0.807448\pi$
$74$	−4.27480	−	18.7291i	−0.496935	−	2.17722i
$75$	−4.59858	+	5.76644i	−0.530998	+	0.665851i
$76$	0.996240	−	1.24925i	0.114277	−	0.143298i
$77$	−0.910031			−0.103708
$78$	−1.25073	−	5.47983i	−0.141618	−	0.620468i
$79$	7.88290	−	9.88484i	0.886895	−	1.11213i	−0.106144	−	0.994351i	$-0.533851\pi$
$79$	7.88290	−	9.88484i	0.886895	−	1.11213i	0.993040	−	0.117781i	$-0.0375781\pi$
$80$	8.62269	−	10.8125i	0.964046	−	1.20888i
$81$	2.40477	−	10.5360i	0.267196	−	1.17066i
$82$	7.57111	+	3.64605i	0.836089	+	0.402639i
$83$	6.59693			0.724107			0.362053	−	0.932157i	$-0.382076\pi$
$83$	6.59693			0.724107			0.362053	+	0.932157i	$0.382076\pi$
$84$	0.630335			0.0687752
$85$	1.18132	−	5.17569i	0.128132	−	0.561382i
$86$	−2.00725	+	2.51701i	−0.216447	+	0.271416i
$87$	−22.7795			−2.44222
$88$	−1.10365	−	4.83542i	−0.117650	−	0.515457i
$89$	1.09945	+	0.529468i	0.116542	+	0.0561235i	0.491246	−	0.871021i	$-0.336542\pi$
$89$	1.09945	+	0.529468i	0.116542	+	0.0561235i	−0.374705	+	0.927144i	$0.622256\pi$
$90$	−2.56221	−	11.2258i	−0.270080	−	1.18330i
$91$	0.0576963	−	0.252784i	0.00604821	−	0.0264990i
$92$	1.16395	−	5.09961i	0.121351	−	0.531671i
$93$	17.4168			1.80604
$94$	−0.162183	−	0.710569i	−0.0167279	−	0.0732896i
$95$	−2.00242	−	2.51096i	−0.205444	−	0.257619i
$96$	3.44009	+	15.0720i	0.351102	+	1.53828i
$97$	5.39319	+	6.76284i	0.547595	+	0.686662i	0.976211	−	0.216824i	$-0.0695699\pi$
$97$	5.39319	+	6.76284i	0.547595	+	0.686662i	−0.428616	+	0.903487i	$0.640999\pi$
$98$	−11.6150	−	5.59351i	−1.17330	−	0.565030i
$99$	−9.14641	−	4.40468i	−0.919249	−	0.442687i
$100$	2.89047	+	3.62453i	0.289047	+	0.362453i
$101$	1.58524	+	6.94541i	0.157738	+	0.691094i	0.990506	+	0.137472i	$0.0438977\pi$
$101$	1.58524	+	6.94541i	0.157738	+	0.691094i	−0.832768	+	0.553622i	$0.813245\pi$
$102$	4.85117	+	6.08317i	0.480337	+	0.602323i
$103$	−3.54821	−	15.5457i	−0.349616	−	1.53177i	−0.778054	−	0.628197i	$-0.783793\pi$
$103$	−3.54821	−	15.5457i	−0.349616	−	1.53177i	0.428438	−	0.903571i	$-0.359064\pi$
$104$	1.41313			0.138569
$105$	0.281925	−	1.23520i	0.0275131	−	0.120543i
$106$	0.00904310	−	0.0396204i	0.000878344	−	0.00384828i
$107$	−3.54353	−	15.5252i	−0.342566	−	1.50088i	−0.793638	−	0.608391i	$-0.791815\pi$
$107$	−3.54353	−	15.5252i	−0.342566	−	1.50088i	0.451072	−	0.892487i	$-0.351042\pi$
$108$	−2.44079	−	1.17542i	−0.234865	−	0.113105i
$109$	3.44349	+	15.0869i	0.329826	+	1.44506i	0.819461	+	0.573135i	$0.194273\pi$
$109$	3.44349	+	15.0869i	0.329826	+	1.44506i	−0.489635	+	0.871928i	$0.662870\pi$
$110$	24.9236			2.37637
$111$	14.7021	−	18.4358i	1.39546	−	1.74985i
$112$	−0.208060	+	0.911569i	−0.0196598	+	0.0861352i
$113$	−7.18349			−0.675765			−0.337883	−	0.941188i	$-0.609711\pi$
$113$	−7.18349			−0.675765			−0.337883	+	0.941188i	$0.609711\pi$
$114$	4.70704			0.440855
$115$	−9.47254	−	4.56174i	−0.883319	−	0.425384i
$116$	−3.18610	+	13.9592i	−0.295822	+	1.29608i
$117$	1.80340	−	2.26139i	0.166724	−	0.209065i
$118$	−5.55746	+	6.96883i	−0.511605	+	0.641533i
$119$	0.0798675	+	0.349922i	0.00732144	+	0.0320773i
$120$	6.90508			0.630345
$121$	6.84213	−	8.57976i	0.622012	−	0.779978i
$122$	−1.07007	+	1.34183i	−0.0968798	+	0.121483i
$123$	2.29523	+	10.0560i	0.206954	+	0.906723i
$124$	2.43604	−	10.6730i	0.218762	−	0.958461i
$125$	−4.53998	+	2.18634i	−0.406068	+	0.195552i
$126$	0.485374	+	0.608640i	0.0432405	+	0.0542219i
$127$	−6.65959	−	8.35086i	−0.590943	−	0.741019i	0.392993	−	0.919542i	$-0.371440\pi$
$127$	−6.65959	−	8.35086i	−0.590943	−	0.741019i	−0.983936	+	0.178522i	$0.942868\pi$
$128$	−8.11896			−0.717622
$129$	−3.95163			−0.347922
$130$	−1.58016	+	6.92314i	−0.138589	+	0.607200i
$131$	−10.8514	+	5.22578i	−0.948094	+	0.456578i	−0.843018	−	0.537886i	$-0.819223\pi$
$131$	−10.8514	+	5.22578i	−0.948094	+	0.456578i	−0.105077	+	0.994464i	$0.533509\pi$
$132$	−9.48969	+	11.8997i	−0.825971	+	1.03574i
$133$	0.195632	+	0.0942115i	0.0169635	+	0.00816917i
$134$	0.699334	+	3.06398i	0.0604132	+	0.264688i
$135$	−3.39501	+	4.25721i	−0.292196	+	0.366403i
$136$	−1.76244	+	0.848747i	−0.151128	+	0.0727794i
$137$	−2.70326	−	1.30182i	−0.230955	−	0.111222i	0.314827	−	0.949149i	$-0.398053\pi$
$137$	−2.70326	−	1.30182i	−0.230955	−	0.111222i	−0.545783	+	0.837927i	$0.683768\pi$
$138$	13.8831	−	6.68577i	1.18181	−	0.569130i
$139$	−9.59141	+	12.0273i	−0.813533	+	1.02014i	0.185762	+	0.982595i	$0.440525\pi$
$139$	−9.59141	+	12.0273i	−0.813533	+	1.02014i	−0.999295	+	0.0375433i	$0.988047\pi$
$140$	−0.717493	−	0.345526i	−0.0606392	−	0.0292023i
$141$	0.557787	−	0.699442i	0.0469741	−	0.0589037i
$142$	26.6032	+	12.8114i	2.23249	+	1.07511i
$143$	3.90353	+	4.89487i	0.326430	+	0.409330i
$144$	−6.50326	+	8.15483i	−0.541938	+	0.679569i
$145$	25.9293	+	12.4869i	2.15331	+	1.03698i
$146$	5.19237	+	22.7493i	0.429724	+	1.88274i
$147$	−3.52117	−	15.4272i	−0.290421	−	1.27242i
$148$	−9.24109	−	11.5880i	−0.759613	−	0.952524i
$149$	3.60145	−	15.7790i	0.295042	−	1.29266i	−0.582369	−	0.812925i	$-0.697874\pi$
$149$	3.60145	−	15.7790i	0.295042	−	1.29266i	0.877411	−	0.479740i	$-0.159269\pi$
$150$	−3.03894	+	13.3145i	−0.248129	+	1.08712i
$151$	1.09871	−	1.37774i	0.0894116	−	0.112119i	−0.735113	−	0.677944i	$-0.762871\pi$
$151$	1.09871	−	1.37774i	0.0894116	−	0.112119i	0.824525	+	0.565826i	$0.191442\pi$
$152$	−0.263334	+	1.15374i	−0.0213592	+	0.0935808i
$153$	−0.890953	+	3.90352i	−0.0720293	+	0.315581i
$154$	−1.51818	+	0.731117i	−0.122339	+	0.0589151i
$155$	−19.8251	−	9.54725i	−1.59239	−	0.766853i
$156$	−2.70379	−	3.39044i	−0.216476	−	0.271453i
$157$	4.31886	−	2.07985i	0.344682	−	0.165990i	−0.253531	−	0.967327i	$-0.581592\pi$
$157$	4.31886	−	2.07985i	0.344682	−	0.165990i	0.598213	+	0.801337i	$0.295878\pi$
$158$	5.20937	−	22.8237i	0.414435	−	1.81576i
$159$	0.0449429	−	0.0216434i	0.00356420	−	0.00171643i
$160$	4.34616	−	19.0418i	0.343594	−	1.50538i
$161$	0.710821			0.0560206
$162$	−4.45277	−	19.5089i	−0.349843	−	1.53276i
$163$	17.5524	+	8.45278i	1.37481	+	0.662073i	0.967886	−	0.251390i	$-0.0808877\pi$
$163$	17.5524	+	8.45278i	1.37481	+	0.662073i	0.406922	+	0.913463i	$0.366602\pi$
$164$	6.48334			0.506264
$165$	19.0741	+	23.9182i	1.48492	+	1.86203i
$166$	11.0055	−	5.29996i	0.854191	−	0.411357i
$167$	3.95459	+	4.95890i	0.306015	+	0.383731i	0.910931	−	0.412558i	$-0.135365\pi$
$167$	3.95459	+	4.95890i	0.306015	+	0.383731i	−0.604916	+	0.796289i	$0.706793\pi$
$168$	−0.420613	+	0.202556i	−0.0324510	+	0.0156276i
$169$	10.1054	−	4.86652i	0.777341	−	0.374348i
$170$	−2.18738	−	9.58354i	−0.167764	−	0.735024i
$171$	1.51024	+	1.89377i	0.115491	+	0.144821i
$172$	−0.552703	+	2.42155i	−0.0421432	+	0.184642i
$173$	0.188414	−	0.236264i	0.0143249	−	0.0179628i	−0.774617	−	0.632430i	$-0.782058\pi$
$173$	0.188414	−	0.236264i	0.0143249	−	0.0179628i	0.788942	+	0.614467i	$0.210629\pi$
$174$	−38.0024	+	18.3010i	−2.88096	+	1.38739i
$175$	−0.392793	+	0.492547i	−0.0296924	+	0.0372331i
$176$	−14.0766	−	17.6515i	−1.06106	−	1.33053i
$177$	−10.9409			−0.822365
$178$	2.25956			0.169361
$179$	0.0576774	+	0.0277760i	0.00431101	+	0.00207607i	0.436038	−	0.899928i	$-0.356381\pi$
$179$	0.0576774	+	0.0277760i	0.00431101	+	0.00207607i	−0.431727	+	0.902004i	$0.642096\pi$
$180$	−5.53888	−	6.94553i	−0.412844	−	0.517690i
$181$	4.56229	+	19.9887i	0.339112	+	1.48575i	0.800922	+	0.598768i	$0.204343\pi$
$181$	4.56229	+	19.9887i	0.339112	+	1.48575i	−0.461810	+	0.886979i	$0.652800\pi$
$182$	−0.106833	−	0.468066i	−0.00791899	−	0.0346954i
$183$	−2.10663			−0.155727
$184$	0.862058	+	3.77692i	0.0635518	+	0.278439i
$185$	−26.8408	+	12.9259i	−1.97338	+	0.950328i
$186$	29.0560	−	13.9926i	2.13049	−	1.02599i
$187$	−7.80837	−	3.76031i	−0.571005	−	0.274981i
$188$	−0.350600	−	0.439639i	−0.0255702	−	0.0320640i
$189$	0.0819194	−	0.358912i	0.00595876	−	0.0261070i
$190$	−5.35790	−	2.58023i	−0.388703	−	0.187189i
$191$	−22.1702			−1.60418			−0.802089	−	0.597204i	$-0.796278\pi$
$191$	−22.1702			−1.60418			−0.802089	+	0.597204i	$0.796278\pi$
$192$	4.19771	+	5.26376i	0.302943	+	0.379879i
$193$	−14.3730	+	18.0232i	−1.03459	+	1.29733i	−0.0808423	+	0.996727i	$0.525761\pi$
$193$	−14.3730	+	18.0232i	−1.03459	+	1.29733i	−0.953748	+	0.300608i	$0.902810\pi$
$194$	14.4306	+	6.94939i	1.03605	+	0.498937i
$195$	−7.85318	+	3.78189i	−0.562378	+	0.270827i
$196$	−9.94627			−0.710448
$197$	−10.6157	−	9.18188i	−0.756337	−	0.654182i
$197$	−10.6157	−	9.18188i	−0.756337	−	0.654182i
$198$	−18.7974			−1.33588
$199$	−17.6639	+	8.50649i	−1.25216	+	0.603009i	−0.938090	−	0.346391i	$-0.887407\pi$
$199$	−17.6639	+	8.50649i	−1.25216	+	0.603009i	−0.314071	+	0.949400i	$0.601693\pi$
$200$	−3.09350	−	1.48975i	−0.218743	−	0.105341i
$201$	−2.40518	+	3.01600i	−0.169648	+	0.212732i
$202$	8.22455	+	10.3133i	0.578677	+	0.725639i
$203$	−1.94574			−0.136564
$204$	5.40848	+	2.60459i	0.378670	+	0.182358i
$205$	2.89976	−	12.7047i	0.202528	−	0.887333i
$206$	−18.4088	−	23.0839i	−1.28260	−	1.60833i
$207$	7.14422	+	3.44048i	0.496558	+	0.239130i
$208$	5.79561	−	2.79102i	0.401853	−	0.193522i
$209$	−4.72380	+	2.27486i	−0.326752	+	0.157356i
$210$	−0.522026	−	2.28714i	−0.0360232	−	0.157828i
$211$	−11.3306			−0.780030			−0.390015	−	0.920809i	$-0.627530\pi$
$211$	−11.3306			−0.780030			−0.390015	+	0.920809i	$0.627530\pi$
$212$	−0.00697697	−	0.0305681i	−0.000479180	−	0.00209942i
$213$	8.06492	+	35.3347i	0.552599	+	2.42110i
$214$	−18.3845	−	23.0534i	−1.25674	−	1.57590i
$215$	4.49804	+	2.16614i	0.306764	+	0.147730i
$216$	2.00642			0.136519
$217$	1.48768			0.100990
$218$	17.8655	+	22.4026i	1.21000	+	1.51729i
$219$	−17.8578	+	22.3930i	−1.20672	+	1.51318i
$220$	17.3248	−	8.34320i	1.16804	−	0.562498i
$221$	1.53957	−	1.93057i	0.103563	−	0.129864i
$222$	9.71578	−	42.5676i	0.652081	−	2.85695i
$223$	−8.01594	−	10.0517i	−0.536787	−	0.673110i	0.437291	−	0.899320i	$-0.355938\pi$
$223$	−8.01594	−	10.0517i	−0.536787	−	0.673110i	−0.974079	+	0.226210i	$0.927366\pi$
$224$	0.293839	+	1.28739i	0.0196329	+	0.0860175i
$225$	−6.33183	+	3.04925i	−0.422122	+	0.203283i
$226$	−11.9840	+	5.77120i	−0.797165	+	0.383895i
$227$	−2.35702	−	2.95562i	−0.156441	−	0.196171i	0.697434	−	0.716649i	$-0.254325\pi$
$227$	−2.35702	−	2.95562i	−0.156441	−	0.196171i	−0.853875	+	0.520478i	$0.825754\pi$
$228$	3.27195	−	1.57569i	0.216690	−	0.104353i
$229$	15.7981	+	19.8102i	1.04397	+	1.30910i	0.949567	+	0.313563i	$0.101523\pi$
$229$	15.7981	+	19.8102i	1.04397	+	1.30910i	0.0944025	+	0.995534i	$0.469906\pi$
$230$	−19.4677			−1.28366
$231$	−1.86349	−	0.897412i	−0.122609	−	0.0590454i
$232$	−2.35972	−	10.3386i	−0.154923	−	0.678762i
$233$	10.7612			0.704989			0.352494	−	0.935814i	$-0.385334\pi$
$233$	10.7612			0.704989			0.352494	+	0.935814i	$0.385334\pi$
$234$	1.19176	−	5.22146i	0.0779080	−	0.341337i
$235$	−1.01832	+	0.490398i	−0.0664280	+	0.0319900i
$236$	−1.53026	+	6.70453i	−0.0996118	+	0.436428i
$237$	25.8898	−	12.4679i	1.68172	−	0.809875i
$238$	0.414368	+	0.519601i	0.0268595	+	0.0336807i
$239$	6.02045	+	2.89930i	0.389431	+	0.187540i	0.618345	−	0.785907i	$-0.287803\pi$
$239$	6.02045	+	2.89930i	0.389431	+	0.187540i	−0.228915	+	0.973447i	$0.573518\pi$
$240$	28.3195	−	13.6379i	1.82802	−	0.880326i
$241$	2.91751	−	12.7824i	0.187933	−	0.823390i	−0.789771	−	0.613402i	$-0.789800\pi$
$241$	2.91751	−	12.7824i	0.187933	−	0.823390i	0.977704	−	0.209988i	$-0.0673424\pi$
$242$	4.52158	−	19.8103i	0.290658	−	1.27346i
$243$	11.7671	−	14.7555i	0.754863	−	0.946568i
$244$	−0.294648	+	1.29094i	−0.0188629	+	0.0826439i
$245$	−4.44860	+	19.4906i	−0.284210	+	1.24521i
$246$	11.9081	+	14.9322i	0.759231	+	0.952045i
$247$	−0.332410	−	1.45638i	−0.0211507	−	0.0926673i
$248$	1.80420	+	7.90472i	0.114567	+	0.501950i
$249$	13.5087	+	6.50545i	0.856079	+	0.412266i
$250$	−5.81742	+	7.29482i	−0.367926	+	0.461365i
$251$	−7.80102	−	9.78218i	−0.492396	−	0.617445i	0.472099	−	0.881546i	$-0.343496\pi$
$251$	−7.80102	−	9.78218i	−0.492396	−	0.617445i	−0.964495	+	0.264100i	$0.914925\pi$
$252$	0.541135	+	0.260597i	0.0340883	+	0.0164161i
$253$	−10.7014	+	13.4191i	−0.672792	+	0.843655i
$254$	−17.8191	−	8.58122i	−1.11807	−	0.538434i
$255$	7.52293	−	9.43346i	0.471104	−	0.590746i
$256$	−18.8824	+	9.09330i	−1.18015	+	0.568331i
$257$	−5.66319	−	2.72725i	−0.353260	−	0.170121i	0.248834	−	0.968546i	$-0.419953\pi$
$257$	−5.66319	−	2.72725i	−0.353260	−	0.170121i	−0.602094	+	0.798425i	$0.705667\pi$
$258$	−6.59241	+	3.17474i	−0.410425	+	0.197650i
$259$	1.25580	−	1.57472i	0.0780313	−	0.0978482i
$260$	1.21913	+	5.34137i	0.0756074	+	0.331258i
$261$	−19.5559	−	9.41764i	−1.21048	−	0.582937i
$262$	−13.9048	+	17.4361i	−0.859041	+	1.07720i
$263$	24.2508	−	11.6786i	1.49537	−	0.720132i	0.505595	−	0.862771i	$-0.331273\pi$
$263$	24.2508	−	11.6786i	1.49537	−	0.720132i	0.989775	+	0.142638i	$0.0455586\pi$
$264$	2.50839	−	10.9900i	0.154381	−	0.676386i
$265$	−0.0630214			−0.00387137
$266$	0.402057			0.0246517
$267$	1.72925	+	2.16841i	0.105828	+	0.132705i
$268$	1.51179	+	1.89573i	0.0923474	+	0.115800i
$269$	27.3654	−	13.1785i	1.66850	−	0.803507i	0.670392	−	0.742007i	$-0.266126\pi$
$269$	27.3654	−	13.1785i	1.66850	−	0.803507i	0.998107	−	0.0614998i	$-0.0195883\pi$
$270$	−2.24358	+	9.82975i	−0.136540	+	0.598219i
$271$	5.96671	+	26.1419i	0.362452	+	1.58800i	0.746951	+	0.664879i	$0.231517\pi$
$271$	5.96671	+	26.1419i	0.362452	+	1.58800i	−0.384499	+	0.923125i	$0.625626\pi$
$272$	−5.55189	+	6.96185i	−0.336633	+	0.422124i
$273$	0.367425	−	0.460736i	0.0222376	−	0.0278850i
$274$	−5.55567			−0.335630
$275$	−3.38498	−	14.8306i	−0.204122	−	0.894318i
$276$	7.41236	−	9.29480i	0.446171	−	0.559481i
$277$	−4.52358	+	5.67239i	−0.271796	+	0.340821i	−0.898932	−	0.438089i	$-0.855656\pi$
$277$	−4.52358	+	5.67239i	−0.271796	+	0.340821i	0.627136	+	0.778910i	$0.284227\pi$
$278$	−6.33843	+	27.7705i	−0.380154	+	1.66556i
$279$	14.9521	+	7.20056i	0.895160	+	0.431086i
$280$	0.589806			0.0352476
$281$	−9.49664			−0.566522			−0.283261	−	0.959043i	$-0.591416\pi$
$281$	−9.49664			−0.566522			−0.283261	+	0.959043i	$0.591416\pi$
$282$	0.368610	−	1.61499i	0.0219504	−	0.0961710i
$283$	−2.14117	+	2.68494i	−0.127279	+	0.159603i	−0.841388	−	0.540432i	$-0.818261\pi$
$283$	−2.14117	+	2.68494i	−0.127279	+	0.159603i	0.714109	+	0.700035i	$0.246832\pi$
$284$	22.7810			1.35181
$285$	−1.62428	−	7.11642i	−0.0962138	−	0.421540i
$286$	10.4447	+	5.02990i	0.617608	+	0.297424i
$287$	0.196049	+	0.858949i	0.0115724	+	0.0507021i
$288$	−3.27789	+	14.3614i	−0.193151	+	0.846251i
$289$	3.02224	−	13.2413i	0.177779	−	0.778900i
$290$	53.2890			3.12924
$291$	4.37471	+	19.1669i	0.256450	+	1.12358i
$292$	11.2247	+	14.0753i	0.656874	+	0.823694i
$293$	−5.10701	−	22.3753i	−0.298355	−	1.30718i	−0.872576	−	0.488478i	$-0.837552\pi$
$293$	−5.10701	−	22.3753i	−0.298355	−	1.30718i	0.574221	−	0.818700i	$-0.305305\pi$
$294$	−18.2685	−	22.9080i	−1.06544	−	1.33602i
$295$	12.4537	+	5.99737i	0.725081	+	0.349181i
$296$	9.89019	+	4.76287i	0.574856	+	0.276836i
$297$	5.54239	+	6.94993i	0.321602	+	0.403276i
$298$	−6.66860	−	29.2171i	−0.386302	−	1.69250i
$299$	−3.04903	−	3.82336i	−0.176330	−	0.221111i
$300$	2.34462	+	10.2724i	0.135366	+	0.593079i
$301$	−0.337534			−0.0194551
$302$	0.726075	−	3.18114i	0.0417809	−	0.183054i
$303$	−3.60295	+	15.7856i	−0.206984	+	0.906857i
$304$	1.19871	+	5.25189i	0.0687507	+	0.301216i
$305$	2.39792	+	1.15478i	0.137305	+	0.0661224i
$306$	1.64973	+	7.22793i	0.0943087	+	0.413193i
$307$	17.1016			0.976041			0.488021	−	0.872832i	$-0.337719\pi$
$307$	17.1016			0.976041			0.488021	+	0.872832i	$0.337719\pi$
$308$	−0.810573	+	1.01643i	−0.0461867	+	0.0579163i
$309$	8.06440	−	35.3325i	0.458768	−	2.00999i
$310$	−40.7439			−2.31410
$311$	−14.6556			−0.831045			−0.415522	−	0.909583i	$-0.636401\pi$
$311$	−14.6556			−0.831045			−0.415522	+	0.909583i	$0.636401\pi$
$312$	2.89371	+	1.39354i	0.163824	+	0.0788934i
$313$	−1.25640	+	5.50464i	−0.0710158	+	0.311140i	−0.997944	−	0.0640994i	$-0.979583\pi$
$313$	−1.25640	+	5.50464i	−0.0710158	+	0.311140i	0.926928	+	0.375240i	$0.122440\pi$
$314$	5.53409	−	6.93952i	0.312306	−	0.391620i
$315$	0.752693	−	0.943847i	0.0424094	−	0.0531797i
$316$	−4.01915	−	17.6090i	−0.226095	−	0.990586i
$317$	−16.0371			−0.900732			−0.450366	−	0.892844i	$-0.648706\pi$
$317$	−16.0371			−0.900732			−0.450366	+	0.892844i	$0.648706\pi$
$318$	0.0575888	−	0.0722141i	0.00322942	−	0.00404957i
$319$	29.2931	−	36.7323i	1.64010	−	2.05662i
$320$	−1.89274	−	8.29262i	−0.105807	−	0.463572i
$321$	8.05375	−	35.2858i	0.449516	−	1.96946i
$322$	1.18584	−	0.571073i	0.0660845	−	0.0318246i
$323$	1.28930	+	1.61673i	0.0717386	+	0.0899574i
$324$	−9.62582	−	12.0704i	−0.534768	−	0.670578i
$325$	4.33418			0.240417
$326$	36.0731			1.99791
$327$	−7.82637	+	34.2896i	−0.432799	+	1.89622i
$328$	−4.32623	+	2.08340i	−0.238876	+	0.115037i
$329$	0.0476440	−	0.0597437i	0.00262670	−	0.00329378i
$330$	51.0366	+	24.5780i	2.80947	+	1.35297i
$331$	−5.31165	−	23.2719i	−0.291955	−	1.27914i	−0.881801	−	0.471622i	$-0.843669\pi$
$331$	−5.31165	−	23.2719i	−0.291955	−	1.27914i	0.589846	−	0.807515i	$-0.299188\pi$
$332$	5.87594	−	7.36820i	0.322484	−	0.404383i
$333$	20.2434	−	9.74872i	1.10933	−	0.534227i
$334$	10.5813	+	5.09569i	0.578984	+	0.278824i
$335$	4.39101	−	2.11460i	0.239907	−	0.115533i
$336$	−1.32498	+	1.66147i	−0.0722835	+	0.0906406i
$337$	−12.1103	−	5.83202i	−0.659691	−	0.317691i	0.0739157	−	0.997264i	$-0.476450\pi$
$337$	−12.1103	−	5.83202i	−0.659691	−	0.317691i	−0.733607	+	0.679574i	$0.762165\pi$
$338$	12.9489	−	16.2374i	0.704326	−	0.883197i
$339$	−14.7098	−	7.08387i	−0.798928	−	0.384743i
$340$	−4.72859	−	5.92946i	−0.256444	−	0.321570i
$341$	−22.3970	+	28.0849i	−1.21286	+	1.52088i
$342$	4.04094	+	1.94601i	0.218509	+	0.105228i
$343$	−0.603157	−	2.64261i	−0.0325674	−	0.142687i
$344$	−0.409348	−	1.79347i	−0.0220706	−	0.0966976i
$345$	−14.8987	−	18.6824i	−0.802119	−	1.00583i
$346$	0.124512	−	0.545525i	0.00669383	−	0.0293276i
$347$	−4.94815	+	21.6793i	−0.265631	+	1.16380i	0.649409	+	0.760439i	$0.275016\pi$
$347$	−4.94815	+	21.6793i	−0.265631	+	1.16380i	−0.915039	+	0.403364i	$0.867841\pi$
$348$	−20.2899	+	25.4427i	−1.08765	+	1.36387i
$349$	−0.941506	+	4.12501i	−0.0503976	+	0.220806i	−0.993855	−	0.110686i	$-0.964695\pi$
$349$	−0.941506	+	4.12501i	−0.0503976	+	0.220806i	0.943458	+	0.331493i	$0.107552\pi$
$350$	−0.259575	+	1.13727i	−0.0138749	+	0.0607898i
$351$	−2.28191	+	1.09891i	−0.121799	+	0.0586554i
$352$	−28.7276	−	13.8345i	−1.53119	−	0.737381i
$353$	18.2263	+	22.8550i	0.970086	+	1.21645i	0.976290	+	0.216468i	$0.0694538\pi$
$353$	18.2263	+	22.8550i	0.970086	+	1.21645i	−0.00620401	+	0.999981i	$0.501975\pi$
$354$	−18.2523	+	8.78987i	−0.970101	+	0.467176i
$355$	10.1891	−	44.6414i	0.540782	−	2.36932i
$356$	1.57066	−	0.756391i	0.0832449	−	0.0400886i
$357$	−0.181523	+	0.795306i	−0.00960723	+	0.0420920i
$358$	0.118537			0.00626487
$359$	−2.10910	−	9.24056i	−0.111314	−	0.487698i	−0.999597	−	0.0284010i	$-0.990958\pi$
$359$	−2.10910	−	9.24056i	−0.111314	−	0.487698i	0.888283	−	0.459297i	$-0.151899\pi$
$360$	5.92793	+	2.85474i	0.312430	+	0.150458i
$361$	−17.7490			−0.934158
$362$	23.6700	+	29.6813i	1.24407	+	1.56001i
$363$	22.4716	−	10.8217i	1.17945	−	0.567994i
$364$	−0.230947	−	0.289599i	−0.0121049	−	0.0151791i
$365$	32.6021	−	15.7004i	1.70647	−	0.821794i
$366$	−3.51444	+	1.69246i	−0.183703	+	0.0884665i
$367$	−1.92745	−	8.44471i	−0.100612	−	0.440810i	−0.999993	−	0.00364524i	$-0.998840\pi$
$367$	−1.92745	−	8.44471i	−0.100612	−	0.440810i	0.899381	−	0.437165i	$-0.144017\pi$
$368$	10.9952	+	13.7875i	0.573163	+	0.718724i
$369$	−2.18701	+	9.58190i	−0.113851	+	0.498814i
$370$	−34.3932	+	43.1277i	−1.78802	+	2.24210i
$371$	0.00383885	−	0.00184869i	0.000199303	−	9.59794e-5i
$372$	15.5133	−	19.4531i	0.804327	−	1.00859i
$373$	7.80797	+	9.79089i	0.404281	+	0.506953i	0.941742	−	0.336336i	$-0.109188\pi$
$373$	7.80797	+	9.79089i	0.404281	+	0.506953i	−0.537461	+	0.843289i	$0.680616\pi$
$374$	−16.0475			−0.829798
$375$	−11.4527			−0.591412
$376$	0.375227	+	0.180700i	0.0193509	+	0.00931888i
$377$	8.34614	+	10.4657i	0.429848	+	0.539012i
$378$	−0.151686	−	0.664578i	−0.00780187	−	0.0341822i
$379$	−2.98627	−	13.0837i	−0.153394	−	0.672064i	−0.991884	−	0.127146i	$-0.959418\pi$
$379$	−2.98627	−	13.0837i	−0.153394	−	0.672064i	0.838490	−	0.544917i	$-0.183439\pi$
$380$	−4.58811			−0.235365
$381$	−5.40196	−	23.6675i	−0.276751	−	1.21252i
$382$	−36.9859	+	17.8115i	−1.89237	+	0.911315i
$383$	10.1628	−	4.89416i	0.519296	−	0.250080i	−0.155828	−	0.987784i	$-0.549804\pi$
$383$	10.1628	−	4.89416i	0.519296	−	0.250080i	0.675124	+	0.737704i	$0.264090\pi$
$384$	−16.6254	−	8.00638i	−0.848412	−	0.408574i
$385$	1.62924	+	2.04300i	0.0830336	+	0.104121i
$386$	−9.49830	+	41.6148i	−0.483451	+	2.11814i
$387$	−3.39243	−	1.63371i	−0.172447	−	0.0830461i
$388$	12.3573			0.627346
$389$	−11.5351	−	14.4646i	−0.584853	−	0.733383i	0.398079	−	0.917351i	$-0.369677\pi$
$389$	−11.5351	−	14.4646i	−0.584853	−	0.733383i	−0.982932	+	0.183968i	$0.941106\pi$
$390$	−10.0629	+	12.6185i	−0.509554	+	0.638960i
$391$	6.09908	+	2.93716i	0.308444	+	0.148539i
$392$	6.63699	−	3.19621i	0.335219	−	0.161433i
$393$	−27.3741			−1.38084
$394$	−25.0866	−	6.78926i	−1.26384	−	0.342038i
$395$	−36.3041			−1.82666
$396$	−13.0664	+	6.29247i	−0.656613	+	0.316208i
$397$	10.8478	+	5.22404i	0.544437	+	0.262187i	0.685824	−	0.727767i	$-0.259442\pi$
$397$	10.8478	+	5.22404i	0.544437	+	0.262187i	−0.141387	+	0.989954i	$0.545156\pi$
$398$	−22.6341	+	28.3823i	−1.13455	+	1.42268i
$399$	0.307696	+	0.385839i	0.0154041	+	0.0193161i
$400$	−15.6296			−0.781478
$401$	−11.7274	−	5.64760i	−0.585637	−	0.282028i	0.117511	−	0.993072i	$-0.462509\pi$
$401$	−11.7274	−	5.64760i	−0.585637	−	0.282028i	−0.703148	+	0.711044i	$0.748223\pi$
$402$	−1.58945	+	6.96383i	−0.0792745	+	0.347324i
$403$	−6.38131	−	8.00191i	−0.317876	−	0.398604i
$404$	9.16942	+	4.41576i	0.456196	+	0.219692i
$405$	−27.9583	+	13.4640i	−1.38926	+	0.669031i
$406$	−3.24602	+	1.56320i	−0.161097	+	0.0775804i
$407$	10.8221	+	47.4147i	0.536432	+	2.35026i
$408$	−4.44597			−0.220109
$409$	−3.15918	−	13.8413i	−0.156212	−	0.684408i	−0.991003	−	0.133841i	$-0.957269\pi$
$409$	−3.15918	−	13.8413i	−0.156212	−	0.684408i	0.834791	−	0.550567i	$-0.185588\pi$
$410$	−5.36932	−	23.5245i	−0.265172	−	1.16179i
$411$	−4.25177	−	5.33156i	−0.209725	−	0.262986i
$412$	−20.5237	−	9.88369i	−1.01113	−	0.486934i
$413$	−0.934526			−0.0459850
$414$	14.6826			0.721610
$415$	−11.8105	−	14.8099i	−0.579757	−	0.726992i
$416$	5.66422	−	7.10271i	0.277711	−	0.348239i
$417$	−31.5011	+	15.1701i	−1.54261	+	0.742884i
$418$	−6.05297	+	7.59019i	−0.296061	+	0.371248i
$419$	1.91581	−	8.39372i	0.0935935	−	0.410060i	−0.906328	−	0.422575i	$-0.861126\pi$
$419$	1.91581	−	8.39372i	0.0935935	−	0.410060i	0.999922	+	0.0125145i	$0.00398361\pi$
$420$	−1.12849	−	1.41509i	−0.0550649	−	0.0690492i
$421$	−5.55543	−	24.3399i	−0.270755	−	1.18626i	−0.909124	−	0.416525i	$-0.863248\pi$
$421$	−5.55543	−	24.3399i	−0.270755	−	1.18626i	0.638369	−	0.769730i	$-0.279609\pi$
$422$	−18.9025	+	9.10298i	−0.920160	+	0.443126i
$423$	0.768021	−	0.369860i	0.0373425	−	0.0179832i
$424$	0.0144786	+	0.0181556i	0.000703142	+	0.000881713i
$425$	−5.40554	+	2.60317i	−0.262207	+	0.126272i
$426$	41.8424	+	52.4687i	2.02727	+	2.54212i
$427$	−0.179940			−0.00870793
$428$	−20.4966	−	9.87063i	−0.990739	−	0.477115i
$429$	3.16637	+	13.8728i	0.152874	+	0.669783i
$430$	9.24423			0.445796
$431$	4.48269	−	19.6400i	0.215924	−	0.946024i	−0.744531	−	0.667588i	$-0.767327\pi$
$431$	4.48269	−	19.6400i	0.215924	−	0.946024i	0.960455	−	0.278436i	$-0.0898160\pi$
$432$	8.22883	−	3.96280i	0.395910	−	0.190660i
$433$	−6.50791	+	28.5130i	−0.312750	+	1.37025i	0.537231	+	0.843435i	$0.319470\pi$
$433$	−6.50791	+	28.5130i	−0.312750	+	1.37025i	−0.849981	+	0.526813i	$0.823387\pi$
$434$	2.48185	−	1.19520i	0.119133	−	0.0573713i
$435$	40.7823	+	51.1394i	1.95536	+	2.45195i
$436$	19.9179	+	9.59196i	0.953895	+	0.459372i
$437$	3.68974	−	1.77689i	0.176504	−	0.0850000i
$438$	−11.8013	+	51.7047i	−0.563886	+	2.47054i
$439$	6.01665	−	26.3607i	0.287159	−	1.25813i	−0.601245	−	0.799065i	$-0.705328\pi$
$439$	6.01665	−	26.3607i	0.287159	−	1.25813i	0.888404	−	0.459062i	$-0.151814\pi$
$440$	−8.87952	+	11.1346i	−0.423315	+	0.530820i
$441$	3.35515	−	14.6999i	0.159769	−	0.699993i
$442$	1.01742	−	4.45760i	0.0483937	−	0.212027i
$443$	18.2657	+	22.9044i	0.867828	+	1.08822i	0.995344	+	0.0963848i	$0.0307280\pi$
$443$	18.2657	+	22.9044i	0.867828	+	1.08822i	−0.127517	+	0.991836i	$0.540701\pi$
$444$	−7.49595	−	32.8419i	−0.355742	−	1.55861i
$445$	−0.779715	−	3.41615i	−0.0369620	−	0.161941i
$446$	−21.4483	−	10.3289i	−1.01561	−	0.489090i
$447$	22.9350	−	28.7595i	1.08479	−	1.36028i
$448$	0.358552	+	0.449610i	0.0169400	+	0.0212421i
$449$	18.8266	+	9.06641i	0.888482	+	0.427870i	0.821715	−	0.569898i	$-0.193017\pi$
$449$	18.8266	+	9.06641i	0.888482	+	0.427870i	0.0667666	+	0.997769i	$0.478732\pi$
$450$	−8.11346	+	10.1740i	−0.382472	+	0.479605i
$451$	−19.1671	−	9.23038i	−0.902542	−	0.434641i
$452$	−6.39840	+	8.02334i	−0.300955	+	0.377386i
$453$	3.60849	−	1.73776i	0.169541	−	0.0816469i
$454$	−6.30670	−	3.03715i	−0.295988	−	0.142540i
$455$	−0.670788	+	0.323035i	−0.0314470	+	0.0151441i
$456$	−1.67698	+	2.10286i	−0.0785317	+	0.0984757i
$457$	1.88174	+	8.24442i	0.0880239	+	0.385658i	0.999680	−	0.0252961i	$-0.00805285\pi$
$457$	1.88174	+	8.24442i	0.0880239	+	0.385658i	−0.911656	+	0.410954i	$0.865196\pi$
$458$	42.2711	+	20.3567i	1.97520	+	0.951206i
$459$	2.18595	−	2.74109i	0.102031	−	0.127943i
$460$	−13.5323	+	6.51684i	−0.630949	+	0.303849i
$461$	5.80185	−	25.4196i	0.270219	−	1.18391i	−0.639535	−	0.768762i	$-0.720873\pi$
$461$	5.80185	−	25.4196i	0.270219	−	1.18391i	0.909755	−	0.415146i	$-0.136270\pi$
$462$	−3.82980			−0.178178
$463$	28.1836			1.30980			0.654902	−	0.755714i	$-0.272710\pi$
$463$	28.1836			1.30980			0.654902	+	0.755714i	$0.272710\pi$
$464$	−30.0972	−	37.7407i	−1.39723	−	1.75207i
$465$	−31.1815	−	39.1003i	−1.44601	−	1.81323i
$466$	17.9526	−	8.64552i	0.831638	−	0.400496i
$467$	3.94232	−	17.2725i	0.182429	−	0.799274i	−0.798041	−	0.602604i	$-0.794130\pi$
$467$	3.94232	−	17.2725i	0.182429	−	0.799274i	0.980470	−	0.196670i	$-0.0630128\pi$
$468$	−0.919473	−	4.02848i	−0.0425027	−	0.186216i
$469$	−0.205441	+	0.257615i	−0.00948640	+	0.0118956i
$470$	−1.30485	+	1.63624i	−0.0601885	+	0.0754739i
$471$	10.8948			0.502008
$472$	−1.13336	−	4.96557i	−0.0521671	−	0.228559i
$473$	5.08157	−	6.37208i	0.233651	−	0.292989i
$474$	33.1746	−	41.5996i	1.52376	−	1.91073i
$475$	−0.807665	+	3.53861i	−0.0370582	+	0.162363i
$476$	0.461972	+	0.222474i	0.0211745	+	0.0101971i
$477$	0.0475309			0.00217629
$478$	12.3731			0.565930
$479$	4.99365	−	21.8786i	0.228166	−	0.999660i	−0.722968	−	0.690881i	$-0.757223\pi$
$479$	4.99365	−	21.8786i	0.228166	−	0.999660i	0.951134	−	0.308779i	$-0.0999202\pi$
$480$	27.6775	−	34.7065i	1.26330	−	1.58413i
$481$	−13.8568			−0.631814
$482$	−5.40219	−	23.6685i	−0.246063	−	1.07807i
$483$	1.45557	+	0.700964i	0.0662306	+	0.0318950i
$484$	−3.48850	−	15.2841i	−0.158568	−	0.694734i
$485$	5.52695	−	24.2152i	0.250966	−	1.09955i
$486$	7.77625	−	34.0700i	0.352738	−	1.54545i
$487$	−13.8476			−0.627496			−0.313748	−	0.949506i	$-0.601585\pi$
$487$	−13.8476			−0.627496			−0.313748	+	0.949506i	$0.601585\pi$
$488$	−0.218225	−	0.956107i	−0.00987859	−	0.0432809i
$489$	27.6069	+	34.6180i	1.24843	+	1.56548i
$490$	8.23722	+	36.0896i	0.372120	+	1.63036i
$491$	22.3349	+	28.0071i	1.00796	+	1.26394i	0.964277	+	0.264896i	$0.0853377\pi$
$491$	22.3349	+	28.0071i	1.00796	+	1.26394i	0.0436829	+	0.999045i	$0.486091\pi$
$492$	13.2761	+	6.39344i	0.598533	+	0.288238i
$493$	−16.6951	−	8.03992i	−0.751908	−	0.362100i
$494$	−1.72460	−	2.16259i	−0.0775936	−	0.0972993i
$495$	6.48650	+	28.4192i	0.291547	+	1.27735i
$496$	23.0118	+	28.8559i	1.03326	+	1.29567i
$497$	0.688875	+	3.01816i	0.0309003	+	0.135383i
$498$	27.7627			1.24408
$499$	4.20929	−	18.4421i	0.188434	−	0.825582i	−0.789009	−	0.614382i	$-0.789406\pi$
$499$	4.20929	−	18.4421i	0.188434	−	0.825582i	0.977443	−	0.211201i	$-0.0677373\pi$
$500$	−1.60185	+	7.01815i	−0.0716368	+	0.313861i
$501$	3.20778	+	14.0542i	0.143313	+	0.627896i
$502$	−20.8732	−	10.0520i	−0.931618	−	0.448644i
$503$	4.63186	+	20.2935i	0.206525	+	0.904843i	0.966859	+	0.255311i	$0.0821780\pi$
$503$	4.63186	+	20.2935i	0.206525	+	0.904843i	−0.760334	+	0.649532i	$0.774965\pi$
$504$	−0.444833			−0.0198145
$505$	12.7542	−	15.9933i	0.567555	−	0.711691i
$506$	−7.07197	+	30.9843i	−0.314387	+	1.37742i
$507$	25.4922			1.13215
$508$	−15.2590			−0.677007
$509$	−10.6253	−	5.11685i	−0.470956	−	0.226801i	0.183324	−	0.983052i	$-0.441314\pi$
$509$	−10.6253	−	5.11685i	−0.470956	−	0.226801i	−0.654281	+	0.756252i	$0.727028\pi$
$510$	4.97149	−	21.7815i	0.220141	−	0.964501i
$511$	−1.52535	+	1.91273i	−0.0674775	+	0.0846141i
$512$	−14.0713	+	17.6449i	−0.621871	+	0.779802i
$513$	−0.471968	−	2.06783i	−0.0208379	−	0.0912968i
$514$	−11.6388			−0.513367
$515$	−28.5474	+	35.7974i	−1.25795	+	1.57742i
$516$	−3.51976	+	4.41364i	−0.154949	+	0.194299i
$517$	0.410583	+	1.79888i	0.0180574	+	0.0791148i
$518$	0.829885	−	3.63596i	0.0364631	−	0.159755i
$519$	0.618809	−	0.298003i	0.0271627	−	0.0130809i
$520$	−2.52994	−	3.17245i	−0.110945	−	0.139121i
$521$	23.5134	+	29.4849i	1.03014	+	1.29176i	0.955641	+	0.294534i	$0.0951644\pi$
$521$	23.5134	+	29.4849i	1.03014	+	1.29176i	0.0744993	+	0.997221i	$0.476264\pi$
$522$	−40.1908			−1.75910
$523$	9.64054			0.421551			0.210776	−	0.977534i	$-0.432401\pi$
$523$	9.64054			0.421551			0.210776	+	0.977534i	$0.432401\pi$
$524$	−3.82873	+	16.7748i	−0.167259	+	0.732809i
$525$	−1.29005	+	0.621255i	−0.0563024	+	0.0271138i
$526$	31.0745	−	38.9662i	1.35491	−	1.69901i
$527$	12.7648	+	6.14719i	0.556042	+	0.267776i
$528$	−11.4183	−	50.0269i	−0.496918	−	2.17714i
$529$	−5.98144	+	7.50049i	−0.260063	+	0.326108i
$530$	−0.105137	+	0.0506313i	−0.00456686	+	0.00219928i
$531$	−9.39260	−	4.52324i	−0.407604	−	0.196292i
$532$	0.279478	−	0.134589i	0.0121169	−	0.00583519i
$533$	3.77917	−	4.73893i	0.163694	−	0.205266i
$534$	4.62696	+	2.22823i	0.200228	+	0.0964248i
$535$	−28.5097	+	35.7501i	−1.23258	+	1.54561i
$536$	−1.61798	−	0.779179i	−0.0698862	−	0.0336554i
$537$	0.0907167	+	0.113755i	0.00391472	+	0.00490890i
$538$	35.0654	−	43.9707i	1.51178	−	1.89571i
$539$	29.4047	+	14.1606i	1.26655	+	0.609939i
$540$	1.73097	+	7.58388i	0.0744891	+	0.326358i
$541$	−1.68237	−	7.37096i	−0.0723309	−	0.316902i	0.925800	−	0.378014i	$-0.123393\pi$
$541$	−1.68237	−	7.37096i	−0.0723309	−	0.316902i	−0.998131	+	0.0611111i	$0.980536\pi$
$542$	30.9564	+	38.8181i	1.32969	+	1.66738i
$543$	−10.3692	+	45.4304i	−0.444985	+	1.94960i
$544$	−2.79836	+	12.2604i	−0.119979	+	0.525661i
$545$	27.7048	−	34.7408i	1.18674	−	1.48813i
$546$	0.242811	−	1.06382i	0.0103913	−	0.0455274i
$547$	3.44153	−	15.0783i	0.147149	−	0.644702i	−0.846520	−	0.532357i	$-0.821307\pi$
$547$	3.44153	−	15.0783i	0.147149	−	0.644702i	0.993669	−	0.112345i	$-0.0358363\pi$
$548$	−3.86185	+	1.85977i	−0.164970	+	0.0794453i
$549$	−1.80852	−	0.870937i	−0.0771857	−	0.0371707i
$550$	−17.5620	−	22.0220i	−0.748844	−	0.939021i
$551$	−10.1000	+	4.86388i	−0.430272	+	0.207208i
$552$	−1.95929	+	8.58421i	−0.0833930	+	0.365368i
$553$	2.21141	−	1.06496i	0.0940386	−	0.0452866i
$554$	−2.98938	+	13.0973i	−0.127007	+	0.556453i
$555$	−67.7093			−2.87410
$556$	4.89025	+	21.4256i	0.207393	+	0.908646i
$557$	−8.69615	−	4.18785i	−0.368468	−	0.177445i	0.240482	−	0.970654i	$-0.422695\pi$
$557$	−8.69615	−	4.18785i	−0.368468	−	0.177445i	−0.608950	+	0.793209i	$0.708409\pi$
$558$	30.7292			1.30087
$559$	1.44783	+	1.81552i	0.0612368	+	0.0767885i
$560$	2.41894	−	1.16490i	0.102219	−	0.0492261i
$561$	−12.2812	−	15.4002i	−0.518514	−	0.650197i
$562$	−15.8430	+	7.62959i	−0.668297	+	0.321835i
$563$	23.6185	−	11.3741i	0.995400	−	0.479359i	0.136025	−	0.990705i	$-0.456567\pi$
$563$	23.6185	−	11.3741i	0.995400	−	0.479359i	0.859375	+	0.511346i	$0.170853\pi$
$564$	−0.284391	−	1.24600i	−0.0119750	−	0.0524660i
$565$	12.8607	+	16.1268i	0.541052	+	0.678458i
$566$	−1.41498	+	6.19943i	−0.0594760	+	0.260581i
$567$	1.30808	−	1.64028i	0.0549341	−	0.0688852i
$568$	−15.2014	+	7.32063i	−0.637838	+	0.307167i
$569$	0.356726	−	0.447321i	0.0149547	−	0.0187527i	−0.774298	−	0.632821i	$-0.781897\pi$
$569$	0.356726	−	0.447321i	0.0149547	−	0.0187527i	0.789253	+	0.614069i	$0.210468\pi$
$570$	−8.42706	−	10.5672i	−0.352971	−	0.442611i
$571$	−2.42547			−0.101503			−0.0507513	−	0.998711i	$-0.516162\pi$
$571$	−2.42547			−0.101503			−0.0507513	+	0.998711i	$0.516162\pi$
$572$	8.94407			0.373970
$573$	−45.3985	−	21.8628i	−1.89655	−	0.913330i
$574$	1.01714	+	1.27546i	0.0424547	+	0.0532365i
$575$	2.64400	+	11.5841i	0.110262	+	0.483091i
$576$	1.42751	+	6.25432i	0.0594795	+	0.260597i
$577$	29.7818			1.23983			0.619917	−	0.784667i	$-0.287166\pi$
$577$	29.7818			1.23983			0.619917	+	0.784667i	$0.287166\pi$
$578$	−5.59612	−	24.5182i	−0.232768	−	1.01982i
$579$	−47.2052	+	22.7328i	−1.96178	+	0.944744i
$580$	37.0422	−	17.8386i	1.53809	−	0.740707i
$581$	1.15386	+	0.555671i	0.0478703	+	0.0230531i
$582$	22.6968	+	28.4609i	0.940814	+	1.17974i
$583$	−0.0228936	+	0.100303i	−0.000948155	+	0.00415414i
$584$	−12.0131	−	5.78520i	−0.497105	−	0.239393i
$585$	−8.30540			−0.343386
$586$	−26.4962	−	33.2251i	−1.09455	−	1.37252i
$587$	2.10799	−	2.64334i	0.0870062	−	0.109102i	−0.736423	−	0.676521i	$-0.763487\pi$
$587$	2.10799	−	2.64334i	0.0870062	−	0.109102i	0.823429	+	0.567419i	$0.192058\pi$
$588$	−20.3672	−	9.80835i	−0.839931	−	0.404489i
$589$	7.72225	−	3.71884i	0.318190	−	0.153232i
$590$	25.5944			1.05371
$591$	−12.6835	−	29.2705i	−0.521729	−	1.20403i
$592$	49.9691			2.05372
$593$	33.6235	−	16.1922i	1.38075	−	0.664936i	0.411593	−	0.911368i	$-0.364972\pi$
$593$	33.6235	−	16.1922i	1.38075	−	0.664936i	0.969160	+	0.246432i	$0.0792581\pi$
$594$	14.8298	+	7.14165i	0.608473	+	0.293025i
$595$	0.642580	−	0.805770i	0.0263432	−	0.0330334i
$596$	−14.4159	−	18.0770i	−0.590499	−	0.740462i
$597$	−44.5594			−1.82369
$598$	−8.15830	−	3.92883i	−0.333618	−	0.160662i
$599$	−5.44489	+	23.8556i	−0.222472	+	0.974715i	0.733138	+	0.680080i	$0.238055\pi$
$599$	−5.44489	+	23.8556i	−0.222472	+	0.974715i	−0.955610	+	0.294635i	$0.904802\pi$
$600$	−4.86554	−	6.10120i	−0.198635	−	0.249080i
$601$	8.72385	+	4.20119i	0.355853	+	0.171370i	0.603266	−	0.797540i	$-0.293866\pi$
$601$	8.72385	+	4.20119i	0.355853	+	0.171370i	−0.247412	+	0.968910i	$0.579580\pi$
$602$	−0.563098	+	0.271174i	−0.0229502	+	0.0110522i
$603$	−3.31172	+	1.59484i	−0.134863	+	0.0649468i
$604$	−0.560184	−	2.45433i	−0.0227936	−	0.0998651i
$605$	−31.5109			−1.28110
$606$	6.67138	+	29.2292i	0.271006	+	1.18736i
$607$	−0.766720	−	3.35922i	−0.0311202	−	0.136347i	0.956981	−	0.290150i	$-0.0937050\pi$
$607$	−0.766720	−	3.35922i	−0.0311202	−	0.136347i	−0.988102	+	0.153803i	$0.950848\pi$
$608$	4.74344	+	5.94809i	0.192372	+	0.241227i
$609$	−3.98434	−	1.91876i	−0.161453	−	0.0777519i
$610$	4.92814			0.199534
$611$	−0.525716			−0.0212682
$612$	3.56632	+	4.47202i	0.144160	+	0.180771i
$613$	−22.9094	+	28.7275i	−0.925303	+	1.16029i	0.0614577	+	0.998110i	$0.480425\pi$
$613$	−22.9094	+	28.7275i	−0.925303	+	1.16029i	−0.986761	+	0.162183i	$0.948146\pi$
$614$	28.5302	−	13.7394i	1.15139	−	0.554478i
$615$	18.4664	−	23.1562i	0.744638	−	0.933746i
$616$	0.214257	−	0.938721i	0.00863266	−	0.0378221i
$617$	6.13158	+	7.68876i	0.246848	+	0.309538i	0.889784	−	0.456383i	$-0.150855\pi$
$617$	6.13158	+	7.68876i	0.246848	+	0.309538i	−0.642936	+	0.765920i	$0.722284\pi$
$618$	−14.9324	−	65.4231i	−0.600669	−	2.63170i
$619$	23.7732	−	11.4486i	0.955526	−	0.460157i	0.109906	−	0.993942i	$-0.464945\pi$
$619$	23.7732	−	11.4486i	0.955526	−	0.460157i	0.845620	+	0.533785i	$0.179231\pi$
$620$	−28.3218	+	13.6391i	−1.13743	+	0.547758i
$621$	−4.32913	−	5.42856i	−0.173722	−	0.217841i
$622$	−24.4496	+	11.7743i	−0.980340	+	0.472107i
$623$	0.147706	+	0.185217i	0.00591771	+	0.00742058i
$624$	14.6201			0.585274
$625$	27.6550	+	13.3180i	1.10620	+	0.532719i
$626$	2.32640	+	10.1926i	0.0929817	+	0.407379i
$627$	−11.9164			−0.475894
$628$	1.52383	−	6.67633i	0.0608074	−	0.266415i
$629$	17.2820	−	8.32257i	0.689078	−	0.331843i
$630$	0.497413	−	2.17931i	0.0198174	−	0.0868257i
$631$	−14.4369	+	6.95246i	−0.574725	+	0.276773i	−0.698585	−	0.715527i	$-0.746187\pi$
$631$	−14.4369	+	6.95246i	−0.574725	+	0.276773i	0.123860	+	0.992300i	$0.460473\pi$
$632$	8.34053	+	10.4587i	0.331769	+	0.416025i
$633$	−23.2019	−	11.1735i	−0.922195	−	0.444106i
$634$	−26.7542	+	12.8842i	−1.06255	+	0.511695i
$635$	−6.82477	+	29.9013i	−0.270833	+	1.18660i
$636$	0.0158573	−	0.0694753i	0.000628782	−	0.00275488i
$637$	−5.79772	+	7.27011i	−0.229714	+	0.288052i
$638$	19.3581	−	84.8136i	0.766396	−	3.35780i
$639$	−7.68467	+	33.6687i	−0.304001	+	1.33191i
$640$	14.5355	+	18.2269i	0.574564	+	0.720481i
$641$	−8.23556	−	36.0823i	−0.325285	−	1.42517i	−0.828007	−	0.560718i	$-0.810525\pi$
$641$	−8.23556	−	36.0823i	−0.325285	−	1.42517i	0.502722	−	0.864448i	$-0.332332\pi$
$642$	−14.9127	−	65.3367i	−0.588556	−	2.57863i
$643$	0.438291	+	0.211070i	0.0172845	+	0.00832379i	0.442506	−	0.896766i	$-0.354090\pi$
$643$	0.438291	+	0.211070i	0.0172845	+	0.00832379i	−0.425222	+	0.905089i	$0.639804\pi$
$644$	0.633135	−	0.793926i	0.0249490	−	0.0312851i
$645$	7.07465	+	8.87133i	0.278564	+	0.349308i
$646$	3.44979	+	1.66133i	0.135730	+	0.0653642i
$647$	0.296221	−	0.371449i	0.0116456	−	0.0146032i	−0.775975	−	0.630764i	$-0.782742\pi$
$647$	0.296221	−	0.371449i	0.0116456	−	0.0146032i	0.787620	+	0.616161i	$0.211313\pi$
$648$	10.3019	+	4.96116i	0.404699	+	0.194893i
$649$	14.0693	−	17.6423i	0.552268	−	0.692522i
$650$	7.23059	−	3.48207i	0.283607	−	0.136578i
$651$	3.04635	+	1.46705i	0.119396	+	0.0574981i
$652$	25.0751	−	12.0755i	0.982016	−	0.472914i
$653$	−18.5896	+	23.3106i	−0.727468	+	0.912216i	−0.998735	−	0.0502881i	$-0.983986\pi$
$653$	−18.5896	+	23.3106i	−0.727468	+	0.912216i	0.271267	+	0.962504i	$0.412557\pi$
$654$	14.4917	+	63.4921i	0.566669	+	2.48274i
$655$	31.1592	+	15.0055i	1.21749	+	0.586312i
$656$	−13.6281	+	17.0891i	−0.532089	+	0.667219i
$657$	−24.5886	+	11.8413i	−0.959294	+	0.461971i
$658$	0.0314853	−	0.137946i	0.00122742	−	0.00537769i
$659$	−19.6010			−0.763547			−0.381773	−	0.924256i	$-0.624687\pi$
$659$	−19.6010			−0.763547			−0.381773	+	0.924256i	$0.624687\pi$
$660$	43.7040			1.70118
$661$	3.94134	+	4.94229i	0.153301	+	0.192233i	0.852551	−	0.522644i	$-0.175054\pi$
$661$	3.94134	+	4.94229i	0.153301	+	0.192233i	−0.699251	+	0.714877i	$0.746483\pi$
$662$	−27.5579	−	34.5565i	−1.07107	−	1.34308i
$663$	5.05642	−	2.43505i	0.196375	−	0.0945693i
$664$	−1.55317	+	6.80490i	−0.0602749	+	0.264081i
$665$	−0.138740	−	0.607858i	−0.00538009	−	0.0235717i
$666$	25.9395	−	32.5271i	1.00513	−	1.26040i
$667$	−22.8807	+	28.6915i	−0.885943	+	1.11094i
$668$	9.06105			0.350583
$669$	−6.50217	−	28.4879i	−0.251388	−	1.10140i
$670$	5.62654	−	7.05546i	0.217372	−	0.272576i
$671$	2.70900	−	3.39698i	0.104580	−	0.131139i
$672$	−0.667839	+	2.92599i	−0.0257624	+	0.112873i
$673$	9.18900	+	4.42519i	0.354210	+	0.170578i	0.602523	−	0.798101i	$-0.294162\pi$
$673$	9.18900	+	4.42519i	0.354210	+	0.170578i	−0.248314	+	0.968680i	$0.579876\pi$
$674$	−24.8888			−0.958680
$675$	6.15383			0.236861
$676$	3.56552	−	15.6216i	0.137135	−	0.600829i
$677$	−9.05271	+	11.3517i	−0.347924	+	0.436283i	−0.924745	−	0.380588i	$-0.875722\pi$
$677$	−9.05271	+	11.3517i	−0.347924	+	0.436283i	0.576821	+	0.816871i	$0.304293\pi$
$678$	−30.2312			−1.16102
$679$	0.373671	+	1.63716i	0.0143402	+	0.0628284i
$680$	5.06073	+	2.43712i	0.194070	+	0.0934593i
$681$	−1.91191	−	8.37663i	−0.0732646	−	0.320993i
$682$	−14.8009	+	64.8470i	−0.566756	+	2.48312i
$683$	−1.89761	+	8.31397i	−0.0726100	+	0.318125i	−0.998170	−	0.0604766i	$-0.980738\pi$
$683$	−1.89761	+	8.31397i	−0.0726100	+	0.318125i	0.925560	+	0.378602i	$0.123595\pi$
$684$	3.46036			0.132310
$685$	1.91712	+	8.39943i	0.0732492	+	0.320926i
$686$	−3.12930	−	3.92401i	−0.119477	−	0.149820i
$687$	12.8147	+	56.1450i	0.488913	+	2.14207i
$688$	−5.22106	−	6.54700i	−0.199051	−	0.249602i
$689$	−0.0264103	−	0.0127185i	−0.00100615	−	0.000484537i
$690$	−39.8645	−	19.1977i	−1.51762	−	0.730845i
$691$	−16.7151	−	20.9601i	−0.635874	−	0.797361i	0.354606	−	0.935016i	$-0.384615\pi$
$691$	−16.7151	−	20.9601i	−0.635874	−	0.797361i	−0.990480	+	0.137655i	$0.956044\pi$
$692$	−0.0960643	−	0.420885i	−0.00365182	−	0.0159996i
$693$	−1.22878	−	1.54084i	−0.0466773	−	0.0585315i
$694$	9.16221	+	40.1423i	0.347793	+	1.52378i
$695$	44.1725			1.67556
$696$	5.36318	−	23.4976i	0.203291	−	0.890675i
$697$	−1.86707	+	8.18016i	−0.0707202	+	0.309846i
$698$	1.74333	+	7.63804i	0.0659862	+	0.289104i
$699$	22.0360	+	10.6120i	0.833477	+	0.401381i
$700$	0.200268	+	0.877432i	0.00756943	+	0.0331638i
$701$	4.85539			0.183386			0.0916928	−	0.995787i	$-0.470772\pi$
$701$	4.85539			0.183386			0.0916928	+	0.995787i	$0.470772\pi$
$702$	−2.92398	+	3.66656i	−0.110359	+	0.138385i
$703$	2.58218	−	11.3133i	0.0973887	−	0.426688i
$704$	−13.8859			−0.523345
$705$	−2.56884			−0.0967482
$706$	48.7681	+	23.4855i	1.83541	+	0.883887i
$707$	−0.307750	+	1.34834i	−0.0115741	+	0.0507096i
$708$	−9.74512	+	12.2200i	−0.366244	+	0.459256i
$709$	−22.9656	+	28.7979i	−0.862491	+	1.08153i	0.133408	+	0.991061i	$0.457408\pi$
$709$	−22.9656	+	28.7979i	−0.862491	+	1.08153i	−0.995899	+	0.0904682i	$0.971164\pi$
$710$	−18.8666	−	82.6601i	−0.708052	−	3.10218i
$711$	27.3806			1.02685
$712$	−0.805014	+	1.00946i	−0.0301692	+	0.0378309i
$713$	17.4942	−	21.9370i	0.655162	−	0.821547i
$714$	0.336117	+	1.47262i	0.0125789	+	0.0551115i
$715$	4.00035	−	17.5267i	0.149605	−	0.655461i
$716$	0.0823972	−	0.0396804i	0.00307933	−	0.00148293i
$717$	9.46915	+	11.8739i	0.353632	+	0.443440i
$718$	−10.9424	−	13.7213i	−0.408367	−	0.512076i
$719$	3.32376			0.123955			0.0619777	−	0.998078i	$-0.480259\pi$
$719$	3.32376			0.123955			0.0619777	+	0.998078i	$0.480259\pi$
$720$	29.9503			1.11618
$721$	0.688830	−	3.01796i	0.0256534	−	0.112395i
$722$	−29.6102	+	14.2595i	−1.10198	+	0.530684i
$723$	18.5795	−	23.2979i	0.690978	−	0.866458i
$724$	26.3893	+	12.7084i	0.980751	+	0.472305i
$725$	−7.23743	−	31.7093i	−0.268791	−	1.17765i
$726$	28.7946	−	36.1073i	1.06867	−	1.34007i
$727$	46.8700	−	22.5714i	1.73831	−	0.837128i	0.754879	−	0.655865i	$-0.227696\pi$
$727$	46.8700	−	22.5714i	1.73831	−	0.837128i	0.983435	−	0.181263i	$-0.0580185\pi$
$728$	0.247169	+	0.119030i	0.00916070	+	0.00441156i
$729$	9.43673	−	4.54449i	0.349509	−	0.168314i
$730$	41.7756	−	52.3850i	1.54619	−	1.93886i
$731$	−2.89615	−	1.39471i	−0.107118	−	0.0515853i
$732$	−1.87640	+	2.35293i	−0.0693536	+	0.0869667i
$733$	14.2872	+	6.88038i	0.527712	+	0.254133i	0.678716	−	0.734401i	$-0.262537\pi$
$733$	14.2872	+	6.88038i	0.527712	+	0.254133i	−0.151005	+	0.988533i	$0.548251\pi$
$734$	−9.99998	−	12.5396i	−0.369106	−	0.462844i
$735$	−28.3298	+	35.5245i	−1.04496	+	1.31034i
$736$	22.4390	+	10.8061i	0.827113	+	0.398317i
$737$	−1.77044	−	7.75680i	−0.0652149	−	0.285725i
$738$	4.04956	+	17.7423i	0.149066	+	0.653102i
$739$	9.27885	+	11.6353i	0.341328	+	0.428012i	0.922636	−	0.385672i	$-0.126030\pi$
$739$	9.27885	+	11.6353i	0.341328	+	0.428012i	−0.581308	+	0.813684i	$0.697459\pi$
$740$	−9.47029	+	41.4921i	−0.348135	+	1.52528i
$741$	0.755502	−	3.31007i	0.0277541	−	0.121599i
$742$	0.00491902	−	0.00616825i	0.000180583	−	0.000226444i
$743$	5.95678	−	26.0984i	0.218533	−	0.957456i	−0.740030	−	0.672574i	$-0.765189\pi$
$743$	5.95678	−	26.0984i	0.218533	−	0.957456i	0.958563	−	0.284882i	$-0.0919543\pi$
$744$	−4.10060	+	17.9659i	−0.150335	+	0.658661i
$745$	−41.8712	+	20.1641i	−1.53404	+	0.738755i
$746$	20.8918	+	10.0610i	0.764904	+	0.368358i
$747$	8.90755	+	11.1697i	0.325910	+	0.408678i
$748$	−11.1549	+	5.37193i	−0.407865	+	0.196417i
$749$	0.687920	−	3.01398i	0.0251361	−	0.110128i
$750$	−19.1062	+	9.20104i	−0.697658	+	0.335975i
$751$	−9.84121	+	43.1172i	−0.359111	+	1.57337i	0.396303	+	0.918120i	$0.370293\pi$
$751$	−9.84121	+	43.1172i	−0.359111	+	1.57337i	−0.755414	+	0.655248i	$0.772564\pi$
$752$	1.89579			0.0691325
$753$	−6.32784	−	27.7241i	−0.230599	−	1.01032i
$754$	22.3318	+	10.7544i	0.813276	+	0.391653i
$755$	−5.06002			−0.184153
$756$	−0.327908	−	0.411184i	−0.0119259	−	0.0149546i
$757$	−11.5932	+	5.58297i	−0.421360	+	0.202916i	−0.632535	−	0.774532i	$-0.717985\pi$
$757$	−11.5932	+	5.58297i	−0.421360	+	0.202916i	0.211174	+	0.977448i	$0.432271\pi$
$758$	−15.4933	−	19.4280i	−0.562743	−	0.705657i
$759$	−35.1466	+	16.9257i	−1.27574	+	0.614365i
$760$	3.06157	−	1.47438i	0.111055	−	0.0534812i
$761$	8.77146	+	38.4303i	0.317965	+	1.39310i	0.841115	+	0.540856i	$0.181900\pi$
$761$	8.77146	+	38.4303i	0.317965	+	1.39310i	−0.523150	+	0.852241i	$0.675243\pi$
$762$	−28.0264	−	35.1440i	−1.01529	−	1.27313i
$763$	−0.668499	+	2.92889i	−0.0242013	+	0.106033i
$764$	−19.7472	+	24.7622i	−0.714428	+	0.895865i
$765$	10.3584	−	4.98834i	0.374509	−	0.180354i
$766$	13.0224	−	16.3296i	0.470519	−	0.590013i
$767$	4.00860	+	5.02663i	0.144742	+	0.181501i
$768$	−47.6333			−1.71882
$769$	−7.16332			−0.258316			−0.129158	−	0.991624i	$-0.541227\pi$
$769$	−7.16332			−0.258316			−0.129158	+	0.991624i	$0.541227\pi$
$770$	4.35936	+	2.09936i	0.157100	+	0.0756555i
$771$	−8.90724	−	11.1693i	−0.320786	−	0.402254i
$772$	7.32816	+	32.1068i	0.263746	+	1.15555i
$773$	−0.535603	−	2.34663i	−0.0192643	−	0.0844024i	0.964382	−	0.264514i	$-0.0852114\pi$
$773$	−0.535603	−	2.34663i	−0.0192643	−	0.0844024i	−0.983646	+	0.180111i	$0.942354\pi$
$774$	−6.97203			−0.250604
$775$	5.53361	+	24.2444i	0.198773	+	0.870883i
$776$	−8.24582	+	3.97098i	−0.296008	+	0.142550i
$777$	4.12441	−	1.98621i	0.147962	−	0.0712549i
$778$	−30.8645	−	14.8636i	−1.10655	−	0.532885i
$779$	3.16483	+	3.96857i	0.113392	+	0.142189i
$780$	−2.77085	+	12.1399i	−0.0992124	+	0.434678i
$781$	−67.3489	−	32.4335i	−2.40993	−	1.16056i
$782$	12.5347			0.448238
$783$	11.8502	+	14.8596i	0.423490	+	0.531040i
$784$	20.9073	−	26.2169i	0.746689	−	0.936318i
$785$	−12.4013	−	5.97215i	−0.442622	−	0.213155i
$786$	−45.6675	+	21.9923i	−1.62890	+	0.784439i
$787$	−3.95283			−0.140903			−0.0704515	−	0.997515i	$-0.522444\pi$
$787$	−3.95283			−0.140903			−0.0704515	+	0.997515i	$0.522444\pi$
$788$	−19.7109	+	3.67843i	−0.702171	+	0.131039i
$789$	61.1757			2.17791
$790$	−60.5651	+	29.1666i	−2.15481	+	1.03770i
$791$	−1.25646	−	0.605078i	−0.0446744	−	0.0215141i
$792$	6.69696	−	8.39773i	0.237966	−	0.298400i
$793$	0.771845	+	0.967863i	0.0274090	+	0.0343698i
$794$	22.2941			0.791189
$795$	−0.129051	−	0.0621475i	−0.00457695	−	0.00220414i
$796$	−6.23239	+	27.3059i	−0.220901	+	0.967831i
$797$	4.08734	+	5.12537i	0.144781	+	0.181550i	0.848934	−	0.528498i	$-0.177245\pi$
$797$	4.08734	+	5.12537i	0.144781	+	0.181550i	−0.704153	+	0.710048i	$0.748673\pi$
$798$	0.823304	+	0.396482i	0.0291446	+	0.0140353i
$799$	0.655667	−	0.315752i	0.0231958	−	0.0111705i
$800$	−19.8874	+	9.57727i	−0.703126	+	0.338607i
$801$	0.588063	+	2.57647i	0.0207782	+	0.0910352i
$802$	−24.1017			−0.851062
$803$	−13.1450	−	57.5922i	−0.463878	−	2.03238i
$804$	1.22630	+	5.37276i	0.0432482	+	0.189483i
$805$	−1.27259	−	1.59578i	−0.0448529	−	0.0562438i
$806$	−17.0745	−	8.22264i	−0.601424	−	0.289630i
$807$	69.0327			2.43006
$808$	−7.53760			−0.265172
$809$	11.7045	+	14.6770i	0.411509	+	0.516016i	0.943787	−	0.330554i	$-0.107236\pi$
$809$	11.7045	+	14.6770i	0.411509	+	0.516016i	−0.532279	+	0.846569i	$0.678664\pi$
$810$	−35.8251	+	44.9233i	−1.25877	+	1.57844i
$811$	0.403992	−	0.194552i	0.0141861	−	0.00683165i	−0.426777	−	0.904357i	$-0.640351\pi$
$811$	0.403992	−	0.194552i	0.0141861	−	0.00683165i	0.440963	+	0.897525i	$0.354637\pi$
$812$	−1.73309	+	2.17322i	−0.0608194	+	0.0762651i
$813$	−13.5612	+	59.4153i	−0.475611	+	2.08379i
$814$	56.1472	+	70.4063i	1.96796	+	2.46774i
$815$	−12.4479	−	54.5378i	−0.436031	−	1.91037i
$816$	−18.2341	+	8.78107i	−0.638320	+	0.307399i
$817$	−1.75207	+	0.843754i	−0.0612973	+	0.0295192i
$818$	−16.3905	−	20.5530i	−0.573079	−	0.718618i
$819$	0.505911	−	0.243634i	0.0176780	−	0.00851325i
$820$	−11.6072	−	14.5550i	−0.405341	−	0.508281i
$821$	−29.6742			−1.03564			−0.517818	−	0.855491i	$-0.673256\pi$
$821$	−29.6742			−1.03564			−0.517818	+	0.855491i	$0.673256\pi$
$822$	−11.3765	−	5.47863i	−0.396801	−	0.191089i
$823$	−9.70130	−	42.5042i	−0.338166	−	1.48160i	−0.802880	−	0.596141i	$-0.796700\pi$
$823$	−9.70130	−	42.5042i	−0.338166	−	1.48160i	0.464714	−	0.885461i	$-0.346157\pi$
$824$	16.8712			0.587737
$825$	7.69341	−	33.7070i	0.267850	−	1.17353i
$826$	−1.55905	+	0.750797i	−0.0542461	+	0.0261236i
$827$	−8.14374	+	35.6800i	−0.283185	+	1.24072i	0.610498	+	0.792018i	$0.290969\pi$
$827$	−8.14374	+	35.6800i	−0.283185	+	1.24072i	−0.893683	+	0.448698i	$0.851888\pi$
$828$	10.2061	−	4.91502i	0.354688	−	0.170809i
$829$	−32.6036	−	40.8837i	−1.13237	−	1.41995i	−0.893595	−	0.448873i	$-0.851825\pi$
$829$	−32.6036	−	40.8837i	−1.13237	−	1.41995i	−0.238775	−	0.971075i	$-0.576746\pi$
$830$	−31.6015	−	15.2185i	−1.09690	−	0.528241i
$831$	−14.8568	+	7.15465i	−0.515376	+	0.248192i
$832$	0.880372	−	3.85716i	0.0305214	−	0.133723i
$833$	2.86432	−	12.5494i	0.0992427	−	0.434811i
$834$	−40.3648	+	50.6158i	−1.39772	+	1.75268i
$835$	4.05267	−	17.7559i	0.140249	−	0.614469i
$836$	−1.66671	+	7.30232i	−0.0576443	+	0.252556i
$837$	−9.06043	−	11.3614i	−0.313174	−	0.392708i
$838$	−3.54740	−	15.5422i	−0.122543	−	0.536896i
$839$	0.160992	+	0.705353i	0.00555807	+	0.0243515i	0.977631	−	0.210328i	$-0.0674531\pi$
$839$	0.160992	+	0.705353i	0.00555807	+	0.0243515i	−0.972073	+	0.234679i	$0.924596\pi$
$840$	1.20776	+	0.581627i	0.0416717	+	0.0200680i
$841$	44.5502	−	55.8642i	1.53621	−	1.92635i
$842$	−28.8226	−	36.1424i	−0.993293	−	1.24555i
$843$	−19.4465	−	9.36495i	−0.669774	−	0.322546i
$844$	−10.0923	+	12.6553i	−0.347390	+	0.435613i
$845$	−29.0171	−	13.9739i	−0.998218	−	0.480717i
$846$	0.984126	−	1.23405i	0.0338349	−	0.0424277i
$847$	1.91944	−	0.924352i	0.0659527	−	0.0317611i
$848$	0.0952387	+	0.0458646i	0.00327051	+	0.00157500i
$849$	−7.03224	+	3.38655i	−0.241346	+	0.116226i
$850$	−6.92653	+	8.68560i	−0.237578	+	0.297914i
$851$	−8.45310	−	37.0355i	−0.289769	−	1.26956i
$852$	46.6494	+	22.4651i	1.59818	+	0.769643i
$853$	−28.6301	+	35.9010i	−0.980276	+	1.22923i	−0.00690818	+	0.999976i	$0.502199\pi$
$853$	−28.6301	+	35.9010i	−0.980276	+	1.22923i	−0.973367	+	0.229251i	$0.926372\pi$
$854$	−0.300190	+	0.144564i	−0.0102723	+	0.00494687i
$855$	1.54769	−	6.78089i	0.0529300	−	0.231901i
$856$	16.8489			0.575885
$857$	34.9745			1.19471			0.597353	−	0.801978i	$-0.296219\pi$
$857$	34.9745			1.19471			0.597353	+	0.801978i	$0.296219\pi$
$858$	16.4277	+	20.5997i	0.560833	+	0.703263i
$859$	2.15773	+	2.70571i	0.0736209	+	0.0923176i	0.817278	−	0.576243i	$-0.195482\pi$
$859$	2.15773	+	2.70571i	0.0736209	+	0.0923176i	−0.743657	+	0.668561i	$0.766911\pi$
$860$	6.42584	−	3.09452i	0.219119	−	0.105522i
$861$	−0.445582	+	1.95222i	−0.0151854	+	0.0665316i
$862$	−8.30035	−	36.3662i	−0.282711	−	1.23864i
$863$	8.45514	−	10.6024i	0.287816	−	0.360910i	−0.616813	−	0.787110i	$-0.711576\pi$
$863$	8.45514	−	10.6024i	0.287816	−	0.360910i	0.904629	+	0.426200i	$0.140148\pi$
$864$	8.04228	−	10.0847i	0.273604	−	0.343088i
$865$	−0.867727			−0.0295036
$866$	12.0503	+	52.7960i	0.409487	+	1.79408i
$867$	19.2464	−	24.1342i	0.653643	−	0.819642i
$868$	1.32509	−	1.66161i	0.0449764	−	0.0563986i
$869$	−13.1881	+	57.7807i	−0.447375	+	1.96008i
$870$	109.121	+	52.5501i	3.69956	+	1.78161i
$871$	2.26689			0.0768107
$872$	−16.3733			−0.554469
$873$	−4.16844	+	18.2631i	−0.141080	+	0.618114i
$874$	4.72795	−	5.92866i	0.159925	−	0.200540i
$875$	−0.978242			−0.0330706
$876$	9.10494	+	39.8914i	0.307627	+	1.34780i
$877$	20.2806	+	9.76662i	0.684827	+	0.329795i	0.743741	−	0.668468i	$-0.233050\pi$
$877$	20.2806	+	9.76662i	0.684827	+	0.329795i	−0.0589142	+	0.998263i	$0.518764\pi$
$878$	−11.1407	−	48.8106i	−0.375981	−	1.64728i
$879$	11.6072	−	50.8547i	0.391503	−	1.71529i
$880$	−14.4257	+	63.2033i	−0.486292	+	2.13058i
$881$	−16.2020			−0.545858			−0.272929	−	0.962034i	$-0.587992\pi$
$881$	−16.2020			−0.545858			−0.272929	+	0.962034i	$0.587992\pi$
$882$	−6.21254	−	27.2189i	−0.209187	−	0.916508i
$883$	1.42900	+	1.79191i	0.0480896	+	0.0603025i	0.805295	−	0.592875i	$-0.202007\pi$
$883$	1.42900	+	1.79191i	0.0480896	+	0.0603025i	−0.757205	+	0.653177i	$0.773436\pi$
$884$	−0.784963	−	3.43915i	−0.0264012	−	0.115671i
$885$	19.5875	+	24.5620i	0.658427	+	0.825642i
$886$	48.8735	+	23.5362i	1.64194	+	0.790715i
$887$	−5.47306	−	2.63569i	−0.183767	−	0.0884977i	0.339738	−	0.940520i	$-0.389662\pi$
$887$	−5.47306	−	2.63569i	−0.183767	−	0.0884977i	−0.523505	+	0.852022i	$0.675376\pi$
$888$	15.5556	+	19.5061i	0.522012	+	0.654582i
$889$	−0.461415	−	2.02159i	−0.0154754	−	0.0678020i
$890$	−4.04531	−	5.07266i	−0.135599	−	0.170036i
$891$	11.2727	+	49.3888i	0.377648	+	1.65459i
$892$	−18.3667			−0.614963
$893$	0.0979660	−	0.429217i	0.00327831	−	0.0143632i
$894$	15.1564	−	66.4047i	0.506907	−	2.22090i
$895$	−0.0409040	−	0.179212i	−0.00136727	−	0.00599040i
$896$	−1.42008	−	0.683874i	−0.0474415	−	0.0228466i
$897$	−2.47324	−	10.8360i	−0.0825790	−	0.361802i
$898$	38.6919			1.29116
$899$	−47.8869	+	60.0483i	−1.59712	+	2.00272i
$900$	−2.23407	+	9.78810i	−0.0744690	+	0.326270i
$901$	0.0405776			0.00135183
$902$	−39.3916			−1.31160
$903$	−0.691176	−	0.332853i	−0.0230009	−	0.0110767i
$904$	1.69127	−	7.40995i	0.0562509	−	0.246451i
$905$	36.7062	−	46.0282i	1.22016	−	1.53003i
$906$	4.62383	−	5.79810i	0.153617	−	0.192629i
$907$	4.57682	+	20.0523i	0.151971	+	0.665827i	0.992311	+	0.123768i	$0.0394979\pi$
$907$	4.57682	+	20.0523i	0.151971	+	0.665827i	−0.840340	+	0.542059i	$0.817645\pi$
$908$	−5.40059			−0.179225
$909$	−9.61926	+	12.0622i	−0.319051	+	0.400077i
$910$	−0.859533	+	1.07782i	−0.0284932	+	0.0357294i
$911$	−12.4059	−	54.3538i	−0.411026	−	1.80082i	−0.579338	−	0.815087i	$-0.696689\pi$
$911$	−12.4059	−	54.3538i	−0.411026	−	1.80082i	0.168313	−	0.985734i	$-0.446168\pi$
$912$	−2.72443	+	11.9365i	−0.0902150	+	0.395258i
$913$	−27.8615	+	13.4174i	−0.922083	+	0.444052i
$914$	9.76281	+	12.2422i	0.322925	+	0.404935i
$915$	3.77152	+	4.72934i	0.124683	+	0.156347i
$916$	36.1979			1.19601
$917$	−2.33819			−0.0772138
$918$	1.44457	−	6.32908i	0.0476780	−	0.208891i
$919$	12.2573	−	5.90279i	0.404330	−	0.194715i	−0.220655	−	0.975352i	$-0.570819\pi$
$919$	12.2573	−	5.90279i	0.404330	−	0.194715i	0.624985	+	0.780637i	$0.285105\pi$
$920$	6.93576	−	8.69716i	0.228665	−	0.286737i
$921$	35.0195	+	16.8645i	1.15393	+	0.555704i
$922$	−10.7430	−	47.0680i	−0.353801	−	1.55010i
$923$	13.2792	−	16.6516i	0.437089	−	0.548093i
$924$	−2.66216	+	1.28203i	−0.0875788	+	0.0421757i
$925$	30.3340	+	14.6081i	0.997374	+	0.480310i
$926$	47.0180	−	22.6427i	1.54511	−	0.744084i
$927$	21.5306	−	26.9985i	0.707157	−	0.886746i
$928$	−61.4225	−	29.5795i	−2.01629	−	0.970995i
$929$	−22.7500	+	28.5276i	−0.746404	+	0.935961i	−0.999504	−	0.0314791i	$-0.989978\pi$
$929$	−22.7500	+	28.5276i	−0.746404	+	0.935961i	0.253100	+	0.967440i	$0.418550\pi$
$930$	−83.4323	−	40.1789i	−2.73585	−	1.31752i
$931$	−4.85524	−	6.08828i	−0.159124	−	0.199535i
$932$	9.58509	−	12.0193i	0.313970	−	0.393706i
$933$	−30.0107	−	14.4524i	−0.982507	−	0.473151i
$934$	−7.29978	−	31.9824i	−0.238856	−	1.04650i
$935$	5.53758	+	24.2617i	0.181098	+	0.793444i
$936$	1.90809	+	2.39267i	0.0623679	+	0.0782068i
$937$	−1.86704	+	8.18003i	−0.0609935	+	0.267230i	−0.996225	−	0.0868063i	$-0.972334\pi$
$937$	−1.86704	+	8.18003i	−0.0609935	+	0.267230i	0.935232	+	0.354036i	$0.115191\pi$
$938$	−0.135765	+	0.594824i	−0.00443288	+	0.0194217i
$939$	−8.00106	+	10.0330i	−0.261105	+	0.327415i
$940$	−0.359296	+	1.57418i	−0.0117190	+	0.0513441i
$941$	−1.64796	+	7.22018i	−0.0537219	+	0.235371i	−0.994660	−	0.103208i	$-0.967089\pi$
$941$	−1.64796	+	7.22018i	−0.0537219	+	0.235371i	0.940938	+	0.338579i	$0.109946\pi$
$942$	18.1756	−	8.75290i	0.592193	−	0.285185i
$943$	14.9713	+	7.20981i	0.487533	+	0.234784i
$944$	−14.4555	−	18.1266i	−0.470486	−	0.589971i
$945$	−0.952411	+	0.458657i	−0.0309819	+	0.0149201i
$946$	3.35812	−	14.7129i	0.109182	−	0.478358i
$947$	−6.67633	+	3.21515i	−0.216952	+	0.104478i	−0.539203	−	0.842176i	$-0.681275\pi$
$947$	−6.67633	+	3.21515i	−0.216952	+	0.104478i	0.322252	+	0.946654i	$0.395560\pi$
$948$	9.13474	−	40.0219i	0.296683	−	1.29985i
$949$	16.8311			0.546360
$950$	1.49551	+	6.55225i	0.0485207	+	0.212583i
$951$	−32.8396	−	15.8147i	−1.06490	−	0.512827i
$952$	−0.379758			−0.0123080
$953$	−16.8112	−	21.0806i	−0.544568	−	0.682867i	0.431054	−	0.902326i	$-0.358142\pi$
$953$	−16.8112	−	21.0806i	−0.544568	−	0.682867i	−0.975622	+	0.219460i	$0.929571\pi$
$954$	0.0792946	−	0.0381863i	0.00256726	−	0.00123633i
$955$	39.6915	+	49.7716i	1.28439	+	1.61057i
$956$	8.60074	−	4.14190i	0.278168	−	0.133959i
$957$	96.2071	−	46.3309i	3.10994	−	1.49767i
$958$	−9.24647	−	40.5114i	−0.298740	−	1.30887i
$959$	−0.363170	−	0.455401i	−0.0117274	−	0.0147057i
$960$	4.30182	−	18.8475i	0.138841	−	0.608301i
$961$	17.2853	−	21.6751i	0.557591	−	0.699197i
$962$	−23.1169	+	11.1325i	−0.745318	+	0.358926i
$963$	21.5021	−	26.9628i	0.692896	−	0.868864i
$964$	−11.6782	−	14.6441i	−0.376131	−	0.471653i
$965$	66.1937			2.13085
$966$	2.99144			0.0962480
$967$	−42.3337	−	20.3868i	−1.36136	−	0.655596i	−0.396420	−	0.918069i	$-0.629748\pi$
$967$	−42.3337	−	20.3868i	−1.36136	−	0.655596i	−0.964939	+	0.262473i	$0.915462\pi$
$968$	7.23934	+	9.07784i	0.232681	+	0.291773i
$969$	1.04582	+	4.58205i	0.0335967	+	0.147197i
$970$	−10.2339	−	44.8379i	−0.328592	−	1.43966i
$971$	−59.8944			−1.92210			−0.961051	−	0.276371i	$-0.910868\pi$
$971$	−59.8944			−1.92210			−0.961051	+	0.276371i	$0.910868\pi$
$972$	−5.99956	−	26.2858i	−0.192436	−	0.843117i
$973$	−2.69070	+	1.29577i	−0.0862599	+	0.0415406i
$974$	−23.1016	+	11.1252i	−0.740224	+	0.356473i
$975$	8.87521	+	4.27408i	0.284234	+	0.136880i
$976$	−2.78337	−	3.49023i	−0.0890934	−	0.111720i
$977$	−8.13648	+	35.6482i	−0.260309	+	1.14049i	0.660609	+	0.750731i	$0.270298\pi$
$977$	−8.13648	+	35.6482i	−0.260309	+	1.14049i	−0.920918	+	0.389758i	$0.872559\pi$
$978$	73.8679	+	35.5729i	2.36203	+	1.13750i
$979$	−5.72031			−0.182822
$980$	17.8069	+	22.3291i	0.568820	+	0.713278i
$981$	−20.8951	+	26.2016i	−0.667128	+	0.836552i
$982$	59.7616	+	28.7797i	1.90707	+	0.918396i
$983$	13.3568	−	6.43231i	0.426016	−	0.205159i	−0.208575	−	0.978006i	$-0.566883\pi$
$983$	13.3568	−	6.43231i	0.426016	−	0.205159i	0.634592	+	0.772848i	$0.281168\pi$
$984$	−10.9135			−0.347908
$985$	−1.60773	+	40.2704i	−0.0512266	+	1.28312i
$986$	−34.3112			−1.09269
$987$	0.156477	−	0.0753554i	0.00498072	−	0.00239859i
$988$	−1.92273	−	0.925940i	−0.0611703	−	0.0294581i
$989$	−3.96919	+	4.97721i	−0.126213	+	0.158266i
$990$	33.6532	+	42.1998i	1.06957	+	1.34120i
$991$	18.8670			0.599331			0.299665	−	0.954044i	$-0.403125\pi$
$991$	18.8670			0.599331			0.299665	+	0.954044i	$0.403125\pi$
$992$	46.9626	+	22.6160i	1.49106	+	0.718058i
$993$	12.0723	−	52.8924i	0.383104	−	1.67849i
$994$	3.57402	+	4.48167i	0.113361	+	0.142150i
$995$	50.7207	+	24.4258i	1.60796	+	0.774350i
$996$	19.2984	−	9.29360i	0.611492	−	0.294479i
$997$	−43.4347	+	20.9171i	−1.37559	+	0.662450i	−0.968055	−	0.250739i	$-0.919326\pi$
$997$	−43.4347	+	20.9171i	−1.37559	+	0.662450i	−0.407536	+	0.913189i	$0.633612\pi$
$998$	−7.79411	−	34.1482i	−0.246718	−	1.08094i
$999$	−19.6744			−0.622469

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	197.2.d.a.36.13	✓	90
197.104	even	7	inner	197.2.d.a.104.13	yes	90

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
197.2.d.a.36.13	✓	90	1.1	even	1	trivial
197.2.d.a.104.13	yes	90	197.104	even	7	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 197 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	197.d (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(1.66827 - 0.803398i) q^{2} +(2.04773 + 0.986133i) q^{3} +(0.890709 - 1.11691i) q^{4} +(-1.79031 - 2.24498i) q^{5} +4.20843 q^{6} +(0.174909 + 0.0842317i) q^{7} +(-0.235439 + 1.03153i) q^{8} +(1.35026 + 1.69317i) q^{9} +(-4.79034 - 2.30690i) q^{10} +(-4.22341 + 2.03389i) q^{11} +(2.92536 - 1.40878i) q^{12} +(-0.297198 - 1.30211i) q^{13} +0.359468 q^{14} +(-1.45222 - 6.36258i) q^{15} +(1.07173 + 4.69556i) q^{16} +(1.15273 + 1.44547i) q^{17} +(3.61289 + 1.73987i) q^{18} +1.11848 q^{19} -4.10209 q^{20} +(0.275102 + 0.344967i) q^{21} +(-5.41179 + 6.78617i) q^{22} +(3.29889 - 1.58866i) q^{23} +(-1.49934 + 1.88011i) q^{24} +(-0.722109 + 3.16377i) q^{25} +(-1.54192 - 1.93350i) q^{26} +(-0.421973 - 1.84878i) q^{27} +(0.249873 - 0.120332i) q^{28} +(-9.03007 + 4.34865i) q^{29} +(-7.53439 - 9.44782i) q^{30} +(6.90424 - 3.32491i) q^{31} +(4.24097 + 5.31801i) q^{32} -10.6541 q^{33} +(3.08435 + 1.48535i) q^{34} +(-0.124043 - 0.543468i) q^{35} +3.09381 q^{36} +(2.30865 - 10.1149i) q^{37} +(1.86593 - 0.898585i) q^{38} +(0.675473 - 2.95944i) q^{39} +(2.73726 - 1.31820i) q^{40} +(2.82958 + 3.54818i) q^{41} +(0.736092 + 0.354483i) q^{42} +(-1.56648 + 0.754376i) q^{43} +(-1.49015 + 6.52879i) q^{44} +(1.38375 - 6.06259i) q^{45} +(4.22712 - 5.30064i) q^{46} +(0.0875886 - 0.383751i) q^{47} +(-2.43583 + 10.6721i) q^{48} +(-4.34093 - 5.44335i) q^{49} +(1.33709 + 5.85817i) q^{50} +(0.935040 + 4.09668i) q^{51} +(-1.71906 - 0.827856i) q^{52} +(0.0136842 - 0.0171594i) q^{53} +(-2.18928 - 2.74527i) q^{54} +(12.1272 + 5.84018i) q^{55} +(-0.128068 + 0.160592i) q^{56} +(2.29034 + 1.10297i) q^{57} +(-11.5709 + 14.5095i) q^{58} +(-4.33709 + 2.08863i) q^{59} +(-8.39996 - 4.04521i) q^{60} +(-0.835095 + 0.402161i) q^{61} +(8.84694 - 11.0937i) q^{62} +(0.0935536 + 0.409885i) q^{63} +(2.66889 + 1.28527i) q^{64} +(-2.39113 + 2.99838i) q^{65} +(-17.7739 + 8.55947i) q^{66} +(-0.377683 + 1.65474i) q^{67} +2.64121 q^{68} +8.32186 q^{69} +(-0.643559 - 0.806997i) q^{70} +(9.94252 + 12.4675i) q^{71} +(-2.06445 + 0.994187i) q^{72} +(-2.80420 + 12.2860i) q^{73} +(-4.27480 - 18.7291i) q^{74} +(-4.59858 + 5.76644i) q^{75} +(0.996240 - 1.24925i) q^{76} -0.910031 q^{77} +(-1.25073 - 5.47983i) q^{78} +(7.88290 - 9.88484i) q^{79} +(8.62269 - 10.8125i) q^{80} +(2.40477 - 10.5360i) q^{81} +(7.57111 + 3.64605i) q^{82} +6.59693 q^{83} +0.630335 q^{84} +(1.18132 - 5.17569i) q^{85} +(-2.00725 + 2.51701i) q^{86} -22.7795 q^{87} +(-1.10365 - 4.83542i) q^{88} +(1.09945 + 0.529468i) q^{89} +(-2.56221 - 11.2258i) q^{90} +(0.0576963 - 0.252784i) q^{91} +(1.16395 - 5.09961i) q^{92} +17.4168 q^{93} +(-0.162183 - 0.710569i) q^{94} +(-2.00242 - 2.51096i) q^{95} +(3.44009 + 15.0720i) q^{96} +(5.39319 + 6.76284i) q^{97} +(-11.6150 - 5.59351i) q^{98} +(-9.14641 - 4.40468i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 90 q - 2 q^{2} - 5 q^{3} - 26 q^{4} + q^{5} - 10 q^{6} - 11 q^{7} - 16 q^{9} + 9 q^{10} - 7 q^{11} + 15 q^{12} + 9 q^{13} - 40 q^{14} - 16 q^{15} - 10 q^{16} + 13 q^{17} + 15 q^{18} - 20 q^{19} + 26 q^{20}+ \cdots + 25 q^{99}+O(q^{100}) \) 90 * q - 2 * q^2 - 5 * q^3 - 26 * q^4 + q^5 - 10 * q^6 - 11 * q^7 - 16 * q^9 + 9 * q^10 - 7 * q^11 + 15 * q^12 + 9 * q^13 - 40 * q^14 - 16 * q^15 - 10 * q^16 + 13 * q^17 + 15 * q^18 - 20 * q^19 + 26 * q^20 + 13 * q^21 - 17 * q^22 + 25 * q^23 - 17 * q^24 + 16 * q^25 - 2 * q^26 - 41 * q^27 - 50 * q^28 - 33 * q^29 - 72 * q^30 - 15 * q^31 + 46 * q^32 - 32 * q^33 + 31 * q^34 + 45 * q^35 - 64 * q^36 - 27 * q^37 + 43 * q^38 + 14 * q^39 + 31 * q^40 + 35 * q^41 + 14 * q^42 + 16 * q^43 + 49 * q^44 - 8 * q^45 + 17 * q^46 - 4 * q^47 + 41 * q^48 - 48 * q^49 - 52 * q^50 + 51 * q^51 - 2 * q^52 + 41 * q^53 + 14 * q^54 + 53 * q^55 + 52 * q^56 - 104 * q^57 - 79 * q^58 - 17 * q^59 + 11 * q^60 + 21 * q^61 + 23 * q^62 + 48 * q^63 + 22 * q^64 + 5 * q^65 - 94 * q^66 - 5 * q^67 - 200 * q^68 + 54 * q^69 + 64 * q^70 - 94 * q^71 + 75 * q^72 + 31 * q^73 + 18 * q^74 + 36 * q^75 - 80 * q^76 + 22 * q^77 - 45 * q^78 - 25 * q^79 + 131 * q^80 + 6 * q^81 + 51 * q^82 - 130 * q^83 + 108 * q^84 - 129 * q^85 + 32 * q^86 + 98 * q^87 + 54 * q^88 + 17 * q^89 - 42 * q^90 - 119 * q^91 + 31 * q^92 + 60 * q^93 - 111 * q^94 - 77 * q^95 - 98 * q^96 + 49 * q^97 + 45 * q^98 + 25 * q^99

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