LMFDB - Embedded newform 197.2.d.a.36.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [197,2,Mod(36,197)]

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

lf = mfeigenbasis(mf)

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")

//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);

Level:	$ N $	$=$	$ 197 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	197.d (of order $7$, degree $6$, 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:	$1.57305291982$
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			36.4
Character	$\chi$	$=$	197.36
Dual form			197.2.d.a.104.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.70417 + 0.820685i) q^{2} +(0.577242 + 0.277985i) q^{3} +(0.983693 - 1.23351i) q^{4} +(-1.63883 - 2.05503i) q^{5} -1.21186 q^{6} +(1.92605 + 0.927536i) q^{7} +(0.177735 - 0.778708i) q^{8} +(-1.61454 - 2.02456i) q^{9} +(4.47938 + 2.15715i) q^{10} +(2.82890 - 1.36233i) q^{11} +(0.910728 - 0.438583i) q^{12} +(-0.607877 - 2.66328i) q^{13} -4.04353 q^{14} +(-0.374735 - 1.64182i) q^{15} +(1.03834 + 4.54925i) q^{16} +(-0.306846 - 0.384772i) q^{17} +(4.41298 + 2.12518i) q^{18} +4.82890 q^{19} -4.14701 q^{20} +(0.853956 + 1.07083i) q^{21} +(-3.70288 + 4.64327i) q^{22} +(2.69428 - 1.29750i) q^{23} +(0.319066 - 0.400096i) q^{24} +(-0.424771 + 1.86104i) q^{25} +(3.22164 + 4.03981i) q^{26} +(-0.796881 - 3.49136i) q^{27} +(3.03877 - 1.46339i) q^{28} +(-0.155199 + 0.0747397i) q^{29} +(1.98603 + 2.49040i) q^{30} +(5.31720 - 2.56063i) q^{31} +(-4.50699 - 5.65159i) q^{32} +2.01167 q^{33} +(0.838694 + 0.403894i) q^{34} +(-1.25035 - 5.47816i) q^{35} -4.08553 q^{36} +(-1.43918 + 6.30545i) q^{37} +(-8.22927 + 3.96301i) q^{38} +(0.389461 - 1.70634i) q^{39} +(-1.89154 + 0.910920i) q^{40} +(-6.52241 - 8.17884i) q^{41} +(-2.33410 - 1.12404i) q^{42} +(-9.40450 + 4.52897i) q^{43} +(1.10232 - 4.82959i) q^{44} +(-1.51459 + 6.63584i) q^{45} +(-3.52667 + 4.42231i) q^{46} +(-0.801345 + 3.51092i) q^{47} +(-0.665252 + 2.91466i) q^{48} +(-1.51509 - 1.89986i) q^{49} +(-0.803449 - 3.52014i) q^{50} +(-0.0701632 - 0.307405i) q^{51} +(-3.88316 - 1.87003i) q^{52} +(2.84783 - 3.57106i) q^{53} +(4.22333 + 5.29589i) q^{54} +(-7.43570 - 3.58085i) q^{55} +(1.06461 - 1.33497i) q^{56} +(2.78745 + 1.34236i) q^{57} +(0.203147 - 0.254738i) q^{58} +(-8.32039 + 4.00689i) q^{59} +(-2.39383 - 1.15281i) q^{60} +(7.98695 - 3.84631i) q^{61} +(-6.95994 + 8.72749i) q^{62} +(-1.23182 - 5.39695i) q^{63} +(3.91060 + 1.88324i) q^{64} +(-4.47691 + 5.61387i) q^{65} +(-3.42822 + 1.65094i) q^{66} +(-1.56769 + 6.86851i) q^{67} -0.776463 q^{68} +1.91594 q^{69} +(6.62666 + 8.30957i) q^{70} +(1.84641 + 2.31532i) q^{71} +(-1.86351 + 0.897417i) q^{72} +(-0.988801 + 4.33222i) q^{73} +(-2.72219 - 11.9267i) q^{74} +(-0.762539 + 0.956194i) q^{75} +(4.75016 - 5.95651i) q^{76} +6.71220 q^{77} +(0.736660 + 3.22752i) q^{78} +(9.58963 - 12.0250i) q^{79} +(7.64717 - 9.58925i) q^{80} +(-1.21811 + 5.33689i) q^{81} +(17.8275 + 8.58529i) q^{82} +0.599756 q^{83} +2.16091 q^{84} +(-0.287850 + 1.26115i) q^{85} +(12.3100 - 15.4363i) q^{86} -0.110364 q^{87} +(-0.558060 - 2.44502i) q^{88} +(12.1708 + 5.86113i) q^{89} +(-2.86482 - 12.5516i) q^{90} +(1.29949 - 5.69344i) q^{91} +(1.04987 - 4.59976i) q^{92} +3.78113 q^{93} +(-1.51573 - 6.64086i) q^{94} +(-7.91375 - 9.92353i) q^{95} +(-1.03057 - 4.51522i) q^{96} +(4.36170 + 5.46940i) q^{97} +(4.14115 + 1.99427i) q^{98} +(-7.32548 - 3.52776i) 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 $

$2$	−1.70417	+	0.820685i	−1.20503	+	0.580312i	−0.925106	−	0.379710i	$-0.876024\pi$
$2$	−1.70417	+	0.820685i	−1.20503	+	0.580312i	−0.279925	+	0.960022i	$0.590310\pi$
$3$	0.577242	+	0.277985i	0.333271	+	0.160495i	0.593034	−	0.805178i	$-0.297930\pi$
$3$	0.577242	+	0.277985i	0.333271	+	0.160495i	−0.259763	+	0.965672i	$0.583644\pi$
$4$	0.983693	−	1.23351i	0.491847	−	0.616756i
$5$	−1.63883	−	2.05503i	−0.732907	−	0.919037i	0.266084	−	0.963950i	$-0.414270\pi$
$5$	−1.63883	−	2.05503i	−0.732907	−	0.919037i	−0.998991	+	0.0449134i	$0.985699\pi$
$6$	−1.21186			−0.494739
$7$	1.92605	+	0.927536i	0.727978	+	0.350576i	0.760889	−	0.648882i	$-0.224763\pi$
$7$	1.92605	+	0.927536i	0.727978	+	0.350576i	−0.0329104	+	0.999458i	$0.510478\pi$
$8$	0.177735	−	0.778708i	0.0628388	−	0.275315i
$9$	−1.61454	−	2.02456i	−0.538179	−	0.674855i
$10$	4.47938	+	2.15715i	1.41650	+	0.682152i
$11$	2.82890	−	1.36233i	0.852945	−	0.410757i	0.0442751	−	0.999019i	$-0.485902\pi$
$11$	2.82890	−	1.36233i	0.852945	−	0.410757i	0.808670	+	0.588263i	$0.200188\pi$
$12$	0.910728	−	0.438583i	0.262904	−	0.126608i
$13$	−0.607877	−	2.66328i	−0.168595	−	0.738661i	−0.986561	−	0.163395i	$-0.947756\pi$
$13$	−0.607877	−	2.66328i	−0.168595	−	0.738661i	0.817966	−	0.575266i	$-0.195102\pi$
$14$	−4.04353			−1.08068
$15$	−0.374735	−	1.64182i	−0.0967561	−	0.423916i
$16$	1.03834	+	4.54925i	0.259584	+	1.13731i
$17$	−0.306846	−	0.384772i	−0.0744210	−	0.0933209i	0.743227	−	0.669039i	$-0.233294\pi$
$17$	−0.306846	−	0.384772i	−0.0744210	−	0.0933209i	−0.817648	+	0.575718i	$0.804723\pi$
$18$	4.41298	+	2.12518i	1.04015	+	0.500909i
$19$	4.82890			1.10783			0.553913	−	0.832574i	$-0.313134\pi$
$19$	4.82890			1.10783			0.553913	+	0.832574i	$0.313134\pi$
$20$	−4.14701			−0.927299
$21$	0.853956	+	1.07083i	0.186348	+	0.233674i
$22$	−3.70288	+	4.64327i	−0.789458	+	0.989949i
$23$	2.69428	−	1.29750i	0.561796	−	0.270547i	−0.131360	−	0.991335i	$-0.541934\pi$
$23$	2.69428	−	1.29750i	0.561796	−	0.270547i	0.693155	+	0.720788i	$0.256220\pi$
$24$	0.319066	−	0.400096i	0.0651290	−	0.0816692i
$25$	−0.424771	+	1.86104i	−0.0849543	+	0.372209i
$26$	3.22164	+	4.03981i	0.631816	+	0.792272i
$27$	−0.796881	−	3.49136i	−0.153360	−	0.671913i
$28$	3.03877	−	1.46339i	0.574273	−	0.276556i
$29$	−0.155199	+	0.0747397i	−0.0288196	+	0.0138788i	−0.448238	−	0.893914i	$-0.647948\pi$
$29$	−0.155199	+	0.0747397i	−0.0288196	+	0.0138788i	0.419418	+	0.907793i	$0.362234\pi$
$30$	1.98603	+	2.49040i	0.362598	+	0.454683i
$31$	5.31720	−	2.56063i	0.954996	−	0.459902i	0.109561	−	0.993980i	$-0.465055\pi$
$31$	5.31720	−	2.56063i	0.954996	−	0.459902i	0.845435	+	0.534078i	$0.179341\pi$
$32$	−4.50699	−	5.65159i	−0.796732	−	0.999070i
$33$	2.01167			0.350186
$34$	0.838694	+	0.403894i	0.143835	+	0.0692672i
$35$	−1.25035	−	5.47816i	−0.211348	−	0.925978i
$36$	−4.08553			−0.680922
$37$	−1.43918	+	6.30545i	−0.236599	+	1.03661i	0.707439	+	0.706774i	$0.249850\pi$
$37$	−1.43918	+	6.30545i	−0.236599	+	1.03661i	−0.944038	+	0.329836i	$0.893007\pi$
$38$	−8.22927	+	3.96301i	−1.33496	+	0.642885i
$39$	0.389461	−	1.70634i	0.0623637	−	0.273233i
$40$	−1.89154	+	0.910920i	−0.299080	+	0.144029i
$41$	−6.52241	−	8.17884i	−1.01863	−	1.27732i	−0.960284	−	0.279023i	$-0.909989\pi$
$41$	−6.52241	−	8.17884i	−1.01863	−	1.27732i	−0.0583444	−	0.998297i	$-0.518582\pi$
$42$	−2.33410	−	1.12404i	−0.360159	−	0.173443i
$43$	−9.40450	+	4.52897i	−1.43417	+	0.690661i	−0.979768	−	0.200134i	$-0.935862\pi$
$43$	−9.40450	+	4.52897i	−1.43417	+	0.690661i	−0.454404	+	0.890796i	$0.650148\pi$
$44$	1.10232	−	4.82959i	0.166181	−	0.728088i
$45$	−1.51459	+	6.63584i	−0.225781	+	0.989212i
$46$	−3.52667	+	4.42231i	−0.519980	+	0.652034i
$47$	−0.801345	+	3.51092i	−0.116888	+	0.512121i	0.882256	+	0.470769i	$0.156024\pi$
$47$	−0.801345	+	3.51092i	−0.116888	+	0.512121i	−0.999145	+	0.0413515i	$0.986834\pi$
$48$	−0.665252	+	2.91466i	−0.0960208	+	0.420695i
$49$	−1.51509	−	1.89986i	−0.216441	−	0.271408i
$50$	−0.803449	−	3.52014i	−0.113625	−	0.497823i
$51$	−0.0701632	−	0.307405i	−0.00982482	−	0.0430453i
$52$	−3.88316	−	1.87003i	−0.538497	−	0.259326i
$53$	2.84783	−	3.57106i	0.391179	−	0.490523i	−0.546777	−	0.837279i	$-0.684145\pi$
$53$	2.84783	−	3.57106i	0.391179	−	0.490523i	0.937955	+	0.346756i	$0.112717\pi$
$54$	4.22333	+	5.29589i	0.574723	+	0.720679i
$55$	−7.43570	−	3.58085i	−1.00263	−	0.482841i
$56$	1.06461	−	1.33497i	0.142264	−	0.178394i
$57$	2.78745	+	1.34236i	0.369206	+	0.177800i
$58$	0.203147	−	0.254738i	0.0266745	−	0.0334488i
$59$	−8.32039	+	4.00689i	−1.08322	+	0.521653i	−0.888346	−	0.459175i	$-0.848145\pi$
$59$	−8.32039	+	4.00689i	−1.08322	+	0.521653i	−0.194877	+	0.980828i	$0.562431\pi$
$60$	−2.39383	−	1.15281i	−0.309042	−	0.148827i
$61$	7.98695	−	3.84631i	1.02262	−	0.492470i	0.154068	−	0.988060i	$-0.450763\pi$
$61$	7.98695	−	3.84631i	1.02262	−	0.492470i	0.868556	+	0.495591i	$0.165048\pi$
$62$	−6.95994	+	8.72749i	−0.883913	+	1.10839i
$63$	−1.23182	−	5.39695i	−0.155195	−	0.679952i
$64$	3.91060	+	1.88324i	0.488824	+	0.235405i
$65$	−4.47691	+	5.61387i	−0.555293	+	0.696315i
$66$	−3.42822	+	1.65094i	−0.421985	+	0.203217i
$67$	−1.56769	+	6.86851i	−0.191524	+	0.839123i	0.784268	+	0.620422i	$0.213039\pi$
$67$	−1.56769	+	6.86851i	−0.191524	+	0.839123i	−0.975792	+	0.218700i	$0.929818\pi$
$68$	−0.776463			−0.0941600
$69$	1.91594			0.230652
$70$	6.62666	+	8.30957i	0.792038	+	0.993184i
$71$	1.84641	+	2.31532i	0.219128	+	0.274778i	0.879230	−	0.476398i	$-0.158058\pi$
$71$	1.84641	+	2.31532i	0.219128	+	0.274778i	−0.660101	+	0.751177i	$0.729487\pi$
$72$	−1.86351	+	0.897417i	−0.219616	+	0.105762i
$73$	−0.988801	+	4.33222i	−0.115730	+	0.507048i	0.883522	+	0.468390i	$0.155166\pi$
$73$	−0.988801	+	4.33222i	−0.115730	+	0.507048i	−0.999252	+	0.0386585i	$0.987692\pi$
$74$	−2.72219	−	11.9267i	−0.316448	−	1.38645i
$75$	−0.762539	+	0.956194i	−0.0880504	+	0.110412i
$76$	4.75016	−	5.95651i	0.544881	−	0.683259i
$77$	6.71220			0.764927
$78$	0.736660	+	3.22752i	0.0834103	+	0.365445i
$79$	9.58963	−	12.0250i	1.07892	−	1.35292i	0.147461	−	0.989068i	$-0.452890\pi$
$79$	9.58963	−	12.0250i	1.07892	−	1.35292i	0.931457	−	0.363853i	$-0.118539\pi$
$80$	7.64717	−	9.58925i	0.854980	−	1.07211i
$81$	−1.21811	+	5.33689i	−0.135346	+	0.592988i
$82$	17.8275	+	8.58529i	1.96872	+	0.948087i
$83$	0.599756			0.0658318			0.0329159	−	0.999458i	$-0.489521\pi$
$83$	0.599756			0.0658318			0.0329159	+	0.999458i	$0.489521\pi$
$84$	2.16091			0.235774
$85$	−0.287850	+	1.26115i	−0.0312217	+	0.136791i
$86$	12.3100	−	15.4363i	1.32742	−	1.66454i
$87$	−0.110364			−0.0118322
$88$	−0.558060	−	2.44502i	−0.0594894	−	0.260640i
$89$	12.1708	+	5.86113i	1.29010	+	0.621279i	0.947966	−	0.318372i	$-0.103136\pi$
$89$	12.1708	+	5.86113i	1.29010	+	0.621279i	0.342133	+	0.939651i	$0.388851\pi$
$90$	−2.86482	−	12.5516i	−0.301978	−	1.32305i
$91$	1.29949	−	5.69344i	0.136224	−	0.596835i
$92$	1.04987	−	4.59976i	0.109456	−	0.479559i
$93$	3.78113			0.392085
$94$	−1.51573	−	6.64086i	−0.156336	−	0.684953i
$95$	−7.91375	−	9.92353i	−0.811934	−	1.01813i
$96$	−1.03057	−	4.51522i	−0.105182	−	0.460832i
$97$	4.36170	+	5.46940i	0.442863	+	0.555333i	0.952295	−	0.305178i	$-0.0987159\pi$
$97$	4.36170	+	5.46940i	0.442863	+	0.555333i	−0.509432	+	0.860511i	$0.670144\pi$
$98$	4.14115	+	1.99427i	0.418319	+	0.201452i
$99$	−7.32548	−	3.52776i	−0.736238	−	0.354554i
$100$	1.87778	+	2.35466i	0.187778	+	0.235466i
$101$	3.41162	+	14.9473i	0.339469	+	1.48731i	0.800180	+	0.599760i	$0.204737\pi$
$101$	3.41162	+	14.9473i	0.339469	+	1.48731i	−0.460711	+	0.887550i	$0.652406\pi$
$102$	0.371853	+	0.466289i	0.0368189	+	0.0461695i
$103$	0.189290	+	0.829333i	0.0186513	+	0.0817166i	0.983397	−	0.181467i	$-0.0580846\pi$
$103$	0.189290	+	0.829333i	0.0186513	+	0.0817166i	−0.964746	+	0.263184i	$0.915227\pi$
$104$	−2.18196			−0.213959
$105$	0.801090	−	3.50981i	0.0781784	−	0.342522i
$106$	−1.92246	+	8.42286i	−0.186726	+	0.818101i
$107$	4.39804	+	19.2691i	0.425174	+	1.86281i	0.500631	+	0.865661i	$0.333101\pi$
$107$	4.39804	+	19.2691i	0.425174	+	1.86281i	−0.0754571	+	0.997149i	$0.524042\pi$
$108$	−5.09053	−	2.45147i	−0.489836	−	0.235893i
$109$	−2.89561	−	12.6865i	−0.277350	−	1.21515i	−0.901130	−	0.433548i	$-0.857261\pi$
$109$	−2.89561	−	12.6865i	−0.277350	−	1.21515i	0.623781	−	0.781599i	$-0.285596\pi$
$110$	15.6104			1.48840
$111$	−2.58358	+	3.23970i	−0.245222	+	0.307499i
$112$	−2.21971	+	9.72517i	−0.209742	+	0.918942i
$113$	7.14030			0.671703			0.335851	−	0.941915i	$-0.390976\pi$
$113$	7.14030			0.671703			0.335851	+	0.941915i	$0.390976\pi$
$114$	−5.85194			−0.548085
$115$	−7.08186	−	3.41044i	−0.660387	−	0.318025i
$116$	−0.0604754	+	0.264960i	−0.00561500	+	0.0246009i
$117$	−4.41055	+	5.53065i	−0.407755	+	0.511309i
$118$	10.8910	−	13.6569i	1.00260	−	1.25721i
$119$	−0.234109	−	1.02570i	−0.0214608	−	0.0940258i
$120$	−1.34510			−0.122790
$121$	−0.711654	+	0.892385i	−0.0646958	+	0.0811259i
$122$	−10.4545	+	13.1095i	−0.946507	+	1.18688i
$123$	−1.49141	−	6.53430i	−0.134476	−	0.589178i
$124$	2.07192	−	9.07770i	0.186064	−	0.815201i
$125$	−7.32026	+	3.52525i	−0.654744	+	0.315308i
$126$	6.52843	+	8.18639i	0.581599	+	0.729302i
$127$	7.03217	+	8.81807i	0.624004	+	0.782477i	0.988902	−	0.148571i	$-0.0474673\pi$
$127$	7.03217	+	8.81807i	0.624004	+	0.782477i	−0.364897	+	0.931048i	$0.618896\pi$
$128$	6.24744			0.552201
$129$	−6.68766			−0.588816
$130$	3.02220	−	13.2411i	0.265065	−	1.16132i
$131$	−10.2582	+	4.94010i	−0.896266	+	0.431619i	−0.824539	−	0.565806i	$-0.808565\pi$
$131$	−10.2582	+	4.94010i	−0.896266	+	0.431619i	−0.0717269	+	0.997424i	$0.522851\pi$
$132$	1.97886	−	2.48141i	0.172238	−	0.215979i
$133$	9.30070	+	4.47898i	0.806473	+	0.388377i
$134$	−2.96527	−	12.9917i	−0.256160	−	1.12231i
$135$	−5.86890	+	7.35936i	−0.505114	+	0.633393i
$136$	−0.354162	+	0.170556i	−0.0303692	+	0.0146250i
$137$	2.65208	+	1.27717i	0.226582	+	0.109116i	0.543731	−	0.839260i	$-0.317011\pi$
$137$	2.65208	+	1.27717i	0.226582	+	0.109116i	−0.317149	+	0.948376i	$0.602725\pi$
$138$	−3.26508	+	1.57238i	−0.277942	+	0.133850i
$139$	7.49463	−	9.39797i	0.635686	−	0.797126i	−0.354770	−	0.934954i	$-0.615441\pi$
$139$	7.49463	−	9.39797i	0.635686	−	0.797126i	0.990456	+	0.137828i	$0.0440122\pi$
$140$	−7.98734	−	3.84650i	−0.675054	−	0.325089i
$141$	−1.43855	+	1.80389i	−0.121148	+	0.151915i
$142$	−5.04675	−	2.43039i	−0.423514	−	0.203953i
$143$	−5.34788	−	6.70603i	−0.447212	−	0.560786i
$144$	7.53381	−	9.44710i	0.627818	−	0.787258i
$145$	0.407936	+	0.196452i	0.0338773	+	0.0163144i
$146$	−1.87030	−	8.19434i	−0.154787	−	0.678168i
$147$	−0.346439	−	1.51785i	−0.0285738	−	0.125190i
$148$	6.36214	+	7.97788i	0.522965	+	0.655777i
$149$	−2.46470	+	10.7986i	−0.201916	+	0.884653i	0.767852	+	0.640627i	$0.221325\pi$
$149$	−2.46470	+	10.7986i	−0.201916	+	0.884653i	−0.969769	+	0.244026i	$0.921532\pi$
$150$	0.514762	−	2.25532i	0.0420302	−	0.184146i
$151$	−3.78032	+	4.74038i	−0.307638	+	0.385766i	−0.911484	−	0.411335i	$-0.865063\pi$
$151$	−3.78032	+	4.74038i	−0.307638	+	0.385766i	0.603846	+	0.797101i	$0.293634\pi$
$152$	0.858265	−	3.76031i	0.0696145	−	0.305001i
$153$	−0.283583	+	1.24246i	−0.0229263	+	0.100447i
$154$	−11.4387	+	5.50861i	−0.921760	+	0.443896i
$155$	−13.9761	−	6.73055i	−1.12259	−	0.540611i
$156$	−1.72168	−	2.15892i	−0.137845	−	0.172852i
$157$	9.68827	−	4.66562i	0.773208	−	0.372357i	−0.00530499	−	0.999986i	$-0.501689\pi$
$157$	9.68827	−	4.66562i	0.773208	−	0.372357i	0.778513	+	0.627629i	$0.215974\pi$
$158$	−6.47361	+	28.3628i	−0.515013	+	2.25642i
$159$	2.63659	−	1.26971i	0.209095	−	0.100695i
$160$	−4.22798	+	18.5240i	−0.334251	+	1.46445i
$161$	6.39279			0.503822
$162$	−2.30404	−	10.0947i	−0.181022	−	0.793111i
$163$	−16.7871	−	8.08426i	−1.31487	−	0.633208i	−0.360758	−	0.932659i	$-0.617482\pi$
$163$	−16.7871	−	8.08426i	−1.31487	−	0.633208i	−0.954111	+	0.299452i	$0.903196\pi$
$164$	−16.5047			−1.28880
$165$	−3.29678	−	4.13403i	−0.256654	−	0.321834i
$166$	−1.02209	+	0.492211i	−0.0793293	+	0.0382030i
$167$	−0.332778	−	0.417290i	−0.0257511	−	0.0322909i	0.768789	−	0.639502i	$-0.220860\pi$
$167$	−0.332778	−	0.417290i	−0.0257511	−	0.0322909i	−0.794540	+	0.607211i	$0.792288\pi$
$168$	0.985639	−	0.474659i	0.0760437	−	0.0366207i
$169$	4.98904	−	2.40259i	0.383772	−	0.184815i
$170$	−0.544464	−	2.38545i	−0.0417585	−	0.182956i
$171$	−7.79644	−	9.77643i	−0.596209	−	0.747622i
$172$	−3.66460	+	16.0557i	−0.279423	+	1.22423i
$173$	−6.53025	+	8.18867i	−0.496486	+	0.622573i	−0.965433	−	0.260653i	$-0.916062\pi$
$173$	−6.53025	+	8.18867i	−0.496486	+	0.622573i	0.468947	+	0.883226i	$0.344634\pi$
$174$	0.188079	−	0.0905738i	0.0142582	−	0.00686638i
$175$	−2.54432	+	3.19047i	−0.192332	+	0.241177i
$176$	9.13490	+	11.4548i	0.688569	+	0.863438i
$177$	−5.91674			−0.444729
$178$	−25.5512			−1.91514
$179$	−1.39185	−	0.670281i	−0.104032	−	0.0500991i	0.381144	−	0.924516i	$-0.375530\pi$
$179$	−1.39185	−	0.670281i	−0.104032	−	0.0500991i	−0.485176	+	0.874417i	$0.661244\pi$
$180$	6.69550	+	8.39589i	0.499053	+	0.625793i
$181$	−2.74411	−	12.0227i	−0.203968	−	0.893642i	−0.968492	−	0.249047i	$-0.919883\pi$
$181$	−2.74411	−	12.0227i	−0.203968	−	0.893642i	0.764523	−	0.644596i	$-0.222974\pi$
$182$	2.45797	+	10.7691i	0.182197	+	0.798256i
$183$	5.67962			0.419850
$184$	−0.531503	−	2.32867i	−0.0391829	−	0.171672i
$185$	15.3165	−	7.37601i	1.12609	−	0.542295i
$186$	−6.44368	+	3.10311i	−0.472474	+	0.227531i
$187$	−1.39222	−	0.670458i	−0.101809	−	0.0490287i
$188$	3.54249	+	4.44214i	0.258362	+	0.323976i
$189$	1.70353	−	7.46367i	0.123914	−	0.542902i
$190$	21.6305	+	10.4167i	1.56924	+	0.755706i
$191$	15.0640			1.08999			0.544997	−	0.838438i	$-0.316531\pi$
$191$	15.0640			1.08999			0.544997	+	0.838438i	$0.316531\pi$
$192$	1.73385	+	2.17418i	0.125130	+	0.156908i
$193$	−5.33502	+	6.68991i	−0.384023	+	0.481550i	−0.935845	−	0.352412i	$-0.885362\pi$
$193$	−5.33502	+	6.68991i	−0.384023	+	0.481550i	0.551821	+	0.833962i	$0.313933\pi$
$194$	−11.9217	−	5.74120i	−0.855931	−	0.412194i
$195$	−4.14484	+	1.99605i	−0.296818	+	0.142940i
$196$	−3.83388			−0.273848
$197$	−10.7939	−	8.97178i	−0.769030	−	0.639213i
$197$	−10.7939	−	8.97178i	−0.769030	−	0.639213i
$198$	15.3790			1.09294
$199$	18.0220	−	8.67892i	1.27754	−	0.615232i	0.332786	−	0.943002i	$-0.392011\pi$
$199$	18.0220	−	8.67892i	1.27754	−	0.615232i	0.944758	+	0.327770i	$0.106297\pi$
$200$	1.37371	+	0.661546i	0.0971363	+	0.0467784i
$201$	−2.81428	+	3.52900i	−0.198504	+	0.248917i
$202$	−18.0810	−	22.6728i	−1.27217	−	1.59526i
$203$	−0.368244			−0.0258456
$204$	−0.448207	−	0.215845i	−0.0313808	−	0.0151122i
$205$	−6.11863	+	26.8075i	−0.427343	+	1.87231i
$206$	−1.00320	−	1.25798i	−0.0698965	−	0.0876474i
$207$	−6.97688	−	3.35989i	−0.484926	−	0.233528i
$208$	11.4847	−	5.53076i	0.796324	−	0.383489i
$209$	13.6605	−	6.57854i	0.944915	−	0.455047i
$210$	1.51525	+	6.63875i	0.104562	+	0.458117i
$211$	−2.78077			−0.191436			−0.0957181	−	0.995408i	$-0.530515\pi$
$211$	−2.78077			−0.191436			−0.0957181	+	0.995408i	$0.530515\pi$
$212$	−1.60356	−	7.02566i	−0.110133	−	0.482524i
$213$	0.422200	+	1.84978i	0.0289286	+	0.126745i
$214$	−23.3088	−	29.2283i	−1.59336	−	1.99801i
$215$	24.7195	+	11.9043i	1.68586	+	0.811867i
$216$	−2.86039			−0.194625
$217$	12.6163			0.856447
$218$	15.3463	+	19.2436i	1.03938	+	1.30334i
$219$	−1.77507	+	2.22587i	−0.119948	+	0.150410i
$220$	−11.7315	+	5.64958i	−0.790935	+	0.380894i
$221$	−0.838232	+	1.05111i	−0.0563856	+	0.0707053i
$222$	1.74408	−	7.64131i	0.117055	−	0.512851i
$223$	1.55840	+	1.95417i	0.104358	+	0.130861i	0.831268	−	0.555872i	$-0.187616\pi$
$223$	1.55840	+	1.95417i	0.104358	+	0.130861i	−0.726910	+	0.686733i	$0.759044\pi$
$224$	−3.43864	−	15.0656i	−0.229754	−	1.00662i
$225$	4.45361	−	2.14475i	0.296908	−	0.142983i
$226$	−12.1683	+	5.85994i	−0.809423	+	0.389797i
$227$	10.7596	+	13.4921i	0.714141	+	0.895504i	0.997990	−	0.0633648i	$-0.0201832\pi$
$227$	10.7596	+	13.4921i	0.714141	+	0.895504i	−0.283850	+	0.958869i	$0.591612\pi$
$228$	4.39781	−	2.11788i	0.291252	−	0.140260i
$229$	4.47951	+	5.61712i	0.296014	+	0.371190i	0.907490	−	0.420073i	$-0.137995\pi$
$229$	4.47951	+	5.61712i	0.296014	+	0.371190i	−0.611476	+	0.791263i	$0.709424\pi$
$230$	14.8676			0.980340
$231$	3.87457	+	1.86589i	0.254928	+	0.122767i
$232$	0.0306162	+	0.134138i	0.00201005	+	0.00880661i
$233$	−17.2878			−1.13256			−0.566280	−	0.824213i	$-0.691618\pi$
$233$	−17.2878			−1.13256			−0.566280	+	0.824213i	$0.691618\pi$
$234$	2.97740	−	13.0448i	0.194639	−	0.852768i
$235$	8.52831	−	4.10702i	0.556326	−	0.267912i
$236$	−3.24217	+	14.2049i	−0.211047	+	0.924658i
$237$	8.87832	−	4.27557i	0.576709	−	0.277728i
$238$	1.24074	+	1.55584i	0.0804252	+	0.100850i
$239$	−1.30441	−	0.628170i	−0.0843751	−	0.0406329i	0.391220	−	0.920297i	$-0.372053\pi$
$239$	−1.30441	−	0.628170i	−0.0843751	−	0.0406329i	−0.475595	+	0.879664i	$0.657767\pi$
$240$	7.07994	−	3.40952i	0.457008	−	0.220084i
$241$	−6.54419	+	28.6720i	−0.421549	+	1.84692i	0.101798	+	0.994805i	$0.467540\pi$
$241$	−6.54419	+	28.6720i	−0.421549	+	1.84692i	−0.523347	+	0.852120i	$0.675317\pi$
$242$	0.480412	−	2.10482i	0.0308820	−	0.135303i
$243$	−8.88515	+	11.1416i	−0.569983	+	0.714736i
$244$	3.11223	−	13.6356i	0.199240	−	0.872929i
$245$	−1.42129	+	6.22709i	−0.0908031	+	0.397834i
$246$	7.90423	+	9.91159i	0.503955	+	0.631940i
$247$	−2.93538	−	12.8607i	−0.186774	−	0.818309i
$248$	−1.04893	−	4.59566i	−0.0666070	−	0.291824i
$249$	0.346204	+	0.166723i	0.0219398	+	0.0105657i
$250$	9.58185	−	12.0153i	0.606010	−	0.759912i
$251$	−1.14599	−	1.43703i	−0.0723343	−	0.0907043i	0.744348	−	0.667792i	$-0.232760\pi$
$251$	−1.14599	−	1.43703i	−0.0723343	−	0.0907043i	−0.816682	+	0.577088i	$0.804189\pi$
$252$	−7.86894	−	3.78948i	−0.495697	−	0.238715i
$253$	5.85423	−	7.34097i	0.368052	−	0.461523i
$254$	−19.2209	−	9.25629i	−1.20603	−	0.580791i
$255$	−0.516741	+	0.647972i	−0.0323596	+	0.0405776i
$256$	−18.4679	+	8.89367i	−1.15424	+	0.555855i
$257$	16.9150	+	8.14583i	1.05513	+	0.508123i	0.879285	−	0.476296i	$-0.158021\pi$
$257$	16.9150	+	8.14583i	1.05513	+	0.508123i	0.175842	+	0.984418i	$0.443735\pi$
$258$	11.3969	−	5.48846i	0.709541	−	0.341697i
$259$	−8.62047	+	10.8097i	−0.535650	+	0.671683i
$260$	2.52087	+	11.0447i	0.156338	+	0.684960i
$261$	0.401889	+	0.193540i	0.0248763	+	0.0119798i
$262$	13.4275	−	16.8376i	0.829554	−	1.04023i
$263$	−3.15046	+	1.51718i	−0.194266	+	0.0935535i	−0.528488	−	0.848941i	$-0.677241\pi$
$263$	−3.15046	+	1.51718i	−0.194266	+	0.0935535i	0.334222	+	0.942494i	$0.391526\pi$
$264$	0.357544	−	1.56650i	0.0220053	−	0.0964115i
$265$	−12.0057			−0.737506
$266$	−19.5258			−1.19720
$267$	5.39617	+	6.76659i	0.330241	+	0.414108i
$268$	6.93027	+	8.69028i	0.423333	+	0.530843i
$269$	27.5515	−	13.2681i	1.67984	−	0.808969i	0.682926	−	0.730487i	$-0.260707\pi$
$269$	27.5515	−	13.2681i	1.67984	−	0.808969i	0.996916	−	0.0784817i	$-0.0250072\pi$
$270$	3.96188	−	17.3581i	0.241112	−	1.05638i
$271$	−3.52486	−	15.4434i	−0.214120	−	0.938120i	−0.961734	−	0.273986i	$-0.911658\pi$
$271$	−3.52486	−	15.4434i	−0.214120	−	0.938120i	0.747614	−	0.664134i	$-0.231199\pi$
$272$	1.43181	−	1.79544i	0.0868165	−	0.108864i
$273$	2.33281	−	2.92526i	0.141188	−	0.177044i
$274$	−5.56775			−0.336360
$275$	1.33371	+	5.84338i	0.0804260	+	0.352369i
$276$	1.88469	−	2.36333i	0.113445	−	0.142256i
$277$	−14.0577	+	17.6278i	−0.844645	+	1.05915i	0.152839	+	0.988251i	$0.451158\pi$
$277$	−14.0577	+	17.6278i	−0.844645	+	1.05915i	−0.997483	+	0.0708997i	$0.977413\pi$
$278$	−5.05935	+	22.1665i	−0.303440	+	1.32946i
$279$	−13.7690	−	6.63078i	−0.824326	−	0.396975i
$280$	−4.48812			−0.268217
$281$	3.42081			0.204068			0.102034	−	0.994781i	$-0.467465\pi$
$281$	3.42081			0.204068			0.102034	+	0.994781i	$0.467465\pi$
$282$	0.971116	−	4.25474i	0.0578291	−	0.253366i
$283$	11.9122	−	14.9374i	0.708106	−	0.887937i	−0.289494	−	0.957180i	$-0.593487\pi$
$283$	11.9122	−	14.9374i	0.708106	−	0.887937i	0.997600	+	0.0692431i	$0.0220584\pi$
$284$	4.67228			0.277249
$285$	−1.80956	−	7.92819i	−0.107189	−	0.469625i
$286$	14.6172	+	7.03929i	0.864335	+	0.416242i
$287$	−4.97630	−	21.8026i	−0.293742	−	1.28697i
$288$	−4.16531	+	18.2494i	−0.245443	+	1.07536i
$289$	3.72896	−	16.3376i	0.219351	−	0.961038i
$290$	−0.856418			−0.0502906
$291$	0.997345	+	4.36966i	0.0584654	+	0.256154i
$292$	4.37117	+	5.48127i	0.255803	+	0.320767i
$293$	−1.08787	−	4.76629i	−0.0635543	−	0.278450i	0.933159	−	0.359465i	$-0.117041\pi$
$293$	−1.08787	−	4.76629i	−0.0635543	−	0.278450i	−0.996713	+	0.0810154i	$0.974184\pi$
$294$	1.83607	+	2.30236i	0.107082	+	0.134276i
$295$	21.8700	+	10.5320i	1.27332	+	0.613199i
$296$	4.65432	+	2.24140i	0.270527	+	0.130279i
$297$	−7.01067	−	8.79110i	−0.406800	−	0.510111i
$298$	−4.66195	−	20.4253i	−0.270060	−	1.18321i
$299$	−5.09339	−	6.38691i	−0.294558	−	0.369364i
$300$	0.429372	+	1.88120i	0.0247898	+	0.108611i
$301$	−22.3143			−1.28618
$302$	2.55196	−	11.1809i	0.146849	−	0.643387i
$303$	−2.18579	+	9.57658i	−0.125570	+	0.550160i
$304$	5.01402	+	21.9679i	0.287574	+	1.25994i
$305$	−20.9935	−	10.1100i	−1.20209	−	0.578894i
$306$	−0.536393	−	2.35009i	−0.0306635	−	0.134346i
$307$	−32.5426			−1.85731			−0.928653	−	0.370951i	$-0.879032\pi$
$307$	−32.5426			−1.85731			−0.928653	+	0.370951i	$0.879032\pi$
$308$	6.60275	−	8.27959i	0.376227	−	0.471773i
$309$	−0.121276	+	0.531346i	−0.00689916	+	0.0302272i
$310$	29.3414			1.66648
$311$	11.5708			0.656123			0.328061	−	0.944656i	$-0.393605\pi$
$311$	11.5708			0.656123			0.328061	+	0.944656i	$0.393605\pi$
$312$	−1.25952	−	0.606553i	−0.0713063	−	0.0343393i
$313$	−6.10274	+	26.7379i	−0.344947	+	1.51131i	0.443536	+	0.896257i	$0.353724\pi$
$313$	−6.10274	+	26.7379i	−0.344947	+	1.51131i	−0.788483	+	0.615057i	$0.789133\pi$
$314$	−12.6815	+	15.9020i	−0.715656	+	0.897404i
$315$	−9.07215	+	11.3761i	−0.511158	+	0.640971i
$316$	−5.39975	−	23.6579i	−0.303760	−	1.33086i
$317$	−10.6670			−0.599120			−0.299560	−	0.954077i	$-0.596840\pi$
$317$	−10.6670			−0.599120			−0.299560	+	0.954077i	$0.596840\pi$
$318$	−3.45116	+	4.32762i	−0.193531	+	0.242681i
$319$	−0.337221	+	0.422862i	−0.0188808	+	0.0236757i
$320$	−2.53868	−	11.1227i	−0.141917	−	0.621778i
$321$	−2.81778	+	12.3455i	−0.157273	+	0.689059i
$322$	−10.8944	+	5.24647i	−0.607121	+	0.292374i
$323$	−1.48173	−	1.85803i	−0.0824455	−	0.103383i
$324$	5.38487	+	6.75242i	0.299160	+	0.375134i
$325$	5.21470			0.289259
$326$	35.2428			1.95192
$327$	1.85519	−	8.12813i	0.102592	−	0.449487i
$328$	−7.52819	+	3.62538i	−0.415675	+	0.200178i
$329$	−4.79994	+	6.01893i	−0.264629	+	0.331834i
$330$	9.01101	+	4.33947i	0.496040	+	0.238880i
$331$	−2.82231	−	12.3653i	−0.155128	−	0.679661i	−0.991347	−	0.131265i	$-0.958096\pi$
$331$	−2.82231	−	12.3653i	−0.155128	−	0.679661i	0.836219	−	0.548395i	$-0.184761\pi$
$332$	0.589976	−	0.739806i	0.0323791	−	0.0406021i
$333$	15.0894	−	7.26667i	0.826894	−	0.398211i
$334$	0.909574	+	0.438028i	0.0497697	+	0.0239678i
$335$	16.6842	−	8.03468i	0.911554	−	0.438981i
$336$	−3.98476	+	4.99673i	−0.217386	+	0.272594i
$337$	2.54801	+	1.22706i	0.138799	+	0.0668421i	0.501994	−	0.864871i	$-0.332600\pi$
$337$	2.54801	+	1.22706i	0.138799	+	0.0668421i	−0.363195	+	0.931713i	$0.618314\pi$
$338$	−6.53040	+	8.18886i	−0.355207	+	0.445415i
$339$	4.12168	+	1.98490i	0.223859	+	0.107805i
$340$	1.27249	+	1.59565i	0.0690105	+	0.0865365i
$341$	11.5534	−	14.4875i	0.625652	−	0.784542i
$342$	21.3098	+	10.2623i	1.15230	+	0.554920i
$343$	−4.48581	−	19.6536i	−0.242211	−	1.06120i
$344$	1.85524	+	8.12832i	0.100028	+	0.438250i
$345$	−3.13989	−	3.93730i	−0.169046	−	0.211977i
$346$	4.40833	−	19.3142i	0.236994	−	1.03834i
$347$	2.37716	−	10.4150i	0.127613	−	0.559109i	−0.870182	−	0.492731i	$-0.835999\pi$
$347$	2.37716	−	10.4150i	0.127613	−	0.559109i	0.997795	−	0.0663776i	$-0.0211442\pi$
$348$	−0.108564	+	0.136135i	−0.00581964	+	0.00729760i
$349$	6.11463	−	26.7899i	0.327309	−	1.43403i	−0.496930	−	0.867790i	$-0.665540\pi$
$349$	6.11463	−	26.7899i	0.327309	−	1.43403i	0.824239	−	0.566242i	$-0.191603\pi$
$350$	1.71758	−	7.52519i	0.0918083	−	0.402239i
$351$	−8.81408	+	4.24464i	−0.470461	+	0.226562i
$352$	−20.4491	−	9.84779i	−1.08994	−	0.524889i
$353$	−14.7168	−	18.4543i	−0.783297	−	0.982223i	−0.999982	−	0.00598182i	$-0.998096\pi$
$353$	−14.7168	−	18.4543i	−0.783297	−	0.982223i	0.216685	−	0.976242i	$-0.430476\pi$
$354$	10.0831	−	4.85578i	0.535913	−	0.258082i
$355$	1.73210	−	7.58884i	0.0919306	−	0.402774i
$356$	19.2021	−	9.24724i	1.01771	−	0.490103i
$357$	0.149992	−	0.657157i	0.00793840	−	0.0347804i
$358$	2.92204			0.154435
$359$	7.46374	+	32.7008i	0.393921	+	1.72588i	0.650633	+	0.759393i	$0.274504\pi$
$359$	7.46374	+	32.7008i	0.393921	+	1.72588i	−0.256712	+	0.966488i	$0.582639\pi$
$360$	4.89819	+	2.35884i	0.258157	+	0.124322i
$361$	4.31830			0.227279
$362$	14.5433	+	18.2367i	0.764379	+	0.958501i
$363$	−0.658866	+	0.317293i	−0.0345815	+	0.0166536i
$364$	−5.74463	−	7.20354i	−0.301100	−	0.377568i
$365$	10.5233	−	5.06776i	0.550815	−	0.265259i
$366$	−9.67905	+	4.66118i	−0.505932	+	0.243644i
$367$	−4.00705	−	17.5560i	−0.209166	−	0.916417i	−0.965123	−	0.261796i	$-0.915685\pi$
$367$	−4.00705	−	17.5560i	−0.209166	−	0.916417i	0.755957	−	0.654621i	$-0.227172\pi$
$368$	8.70019	+	10.9097i	0.453529	+	0.568707i
$369$	−6.02793	+	26.4101i	−0.313801	+	1.37485i
$370$	−20.0485	+	25.1400i	−1.04227	+	1.30696i
$371$	8.79734	−	4.23658i	0.456735	−	0.219952i
$372$	3.71947	−	4.66407i	0.192845	−	0.241821i
$373$	20.7536	+	26.0242i	1.07458	+	1.34748i	0.933943	+	0.357423i	$0.116344\pi$
$373$	20.7536	+	26.0242i	1.07458	+	1.34748i	0.140640	+	0.990061i	$0.455084\pi$
$374$	2.92281			0.151135
$375$	−5.20553			−0.268813
$376$	2.59156	+	1.24803i	0.133649	+	0.0643621i
$377$	0.293394	+	0.367905i	0.0151106	+	0.0189481i
$378$	3.22221	+	14.1174i	0.165733	+	0.726123i
$379$	3.61841	+	15.8533i	0.185865	+	0.814329i	0.978766	+	0.204979i	$0.0657125\pi$
$379$	3.61841	+	15.8533i	0.185865	+	0.814329i	−0.792901	+	0.609350i	$0.791430\pi$
$380$	−20.0255			−1.02729
$381$	1.60798	+	7.04500i	0.0823791	+	0.360926i
$382$	−25.6716	+	12.3628i	−1.31348	+	0.632536i
$383$	25.9727	−	12.5078i	1.32714	−	0.639118i	0.370079	−	0.929000i	$-0.379330\pi$
$383$	25.9727	−	12.5078i	1.32714	−	0.639118i	0.957062	+	0.289882i	$0.0936162\pi$
$384$	3.60629	+	1.73670i	0.184033	+	0.0886255i
$385$	−11.0002	−	13.7938i	−0.560620	−	0.702996i
$386$	3.60148	−	15.7791i	0.183311	−	0.803136i
$387$	24.3531	+	11.7278i	1.23794	+	0.596159i
$388$	11.0371			0.560326
$389$	−4.80342	−	6.02329i	−0.243543	−	0.305393i	0.645004	−	0.764179i	$-0.276856\pi$
$389$	−4.80342	−	6.02329i	−0.243543	−	0.305393i	−0.888547	+	0.458786i	$0.848284\pi$
$390$	5.42538	−	6.80321i	0.274725	−	0.344494i
$391$	−1.32597	−	0.638552i	−0.0670571	−	0.0322930i
$392$	−1.74872	+	0.842139i	−0.0883237	+	0.0425344i
$393$	−7.29476			−0.367972
$394$	25.7576	+	6.43108i	1.29765	+	0.323993i
$395$	−40.4275			−2.03413
$396$	−11.5576	+	5.56583i	−0.580789	+	0.279693i
$397$	−7.34425	−	3.53681i	−0.368597	−	0.177507i	0.240410	−	0.970671i	$-0.422718\pi$
$397$	−7.34425	−	3.53681i	−0.368597	−	0.177507i	−0.609008	+	0.793164i	$0.708432\pi$
$398$	−23.5898	+	29.5807i	−1.18245	+	1.48275i
$399$	4.12367	+	5.17092i	0.206442	+	0.258870i
$400$	−8.90741			−0.445370
$401$	−13.2978	−	6.40390i	−0.664062	−	0.319795i	0.0713149	−	0.997454i	$-0.477280\pi$
$401$	−13.2978	−	6.40390i	−0.664062	−	0.319795i	−0.735377	+	0.677659i	$0.762995\pi$
$402$	1.89982	−	8.32366i	0.0947545	−	0.415147i
$403$	−10.0519	−	12.6046i	−0.500719	−	0.627882i
$404$	21.7936	+	10.4953i	1.08427	+	0.522159i
$405$	12.9637	−	6.24301i	0.644173	−	0.310217i
$406$	0.627550	−	0.302212i	0.0311448	−	0.0149985i
$407$	4.51879	+	19.7981i	0.223988	+	0.981356i
$408$	−0.251849			−0.0124684
$409$	4.47152	+	19.5910i	0.221102	+	0.968713i	0.956650	+	0.291240i	$0.0940677\pi$
$409$	4.47152	+	19.5910i	0.221102	+	0.968713i	−0.735548	+	0.677473i	$0.763075\pi$
$410$	−11.5733	−	50.7059i	−0.571565	−	2.50419i
$411$	1.17586	+	1.47448i	0.0580007	+	0.0727305i
$412$	1.20920	+	0.582318i	0.0595728	+	0.0286887i
$413$	−19.7420			−0.971442
$414$	14.6472			0.719870
$415$	−0.982898	−	1.23252i	−0.0482486	−	0.0605018i
$416$	−12.3121	+	15.4389i	−0.603650	+	0.756953i
$417$	6.93872	−	3.34151i	0.339790	−	0.163634i
$418$	−17.8809	+	22.4219i	−0.874582	+	1.09669i
$419$	1.93509	−	8.47818i	0.0945353	−	0.414186i	−0.905411	−	0.424536i	$-0.860437\pi$
$419$	1.93509	−	8.47818i	0.0945353	−	0.414186i	0.999946	+	0.0103495i	$0.00329441\pi$
$420$	−3.54136	−	4.44073i	−0.172801	−	0.216685i
$421$	7.99436	+	35.0256i	0.389621	+	1.70704i	0.665965	+	0.745983i	$0.268020\pi$
$421$	7.99436	+	35.0256i	0.389621	+	1.70704i	−0.276344	+	0.961059i	$0.589123\pi$
$422$	4.73891	−	2.28214i	0.230686	−	0.111093i
$423$	8.40189	−	4.04614i	0.408514	−	0.196730i
$424$	−2.27466	−	2.85233i	−0.110467	−	0.138521i
$425$	0.846417	−	0.407613i	0.0410573	−	0.0197721i
$426$	−2.23758	−	2.80584i	−0.108411	−	0.135944i
$427$	18.9509			0.917096
$428$	28.0949	+	13.5298i	1.35802	+	0.653988i
$429$	−1.22284	−	5.35763i	−0.0590395	−	0.258669i
$430$	−51.8960			−2.50265
$431$	−7.80755	+	34.2071i	−0.376076	+	1.64770i	0.333265	+	0.942833i	$0.391850\pi$
$431$	−7.80755	+	34.2071i	−0.376076	+	1.64770i	−0.709341	+	0.704865i	$0.751008\pi$
$432$	15.0556	−	7.25041i	0.724365	−	0.348836i
$433$	7.32629	−	32.0986i	0.352079	−	1.54256i	−0.420293	−	0.907388i	$-0.638073\pi$
$433$	7.32629	−	32.0986i	0.352079	−	1.54256i	0.772372	−	0.635170i	$-0.219070\pi$
$434$	−21.5002	+	10.3540i	−1.03204	+	0.497007i
$435$	0.180867	+	0.226800i	0.00867192	+	0.0108742i
$436$	−18.4974	−	8.90786i	−0.885863	−	0.426609i
$437$	13.0104	−	6.26548i	0.622372	−	0.299719i
$438$	1.19829	−	5.25003i	0.0572563	−	0.250856i
$439$	−8.23252	+	36.0690i	−0.392917	+	1.72148i	0.261374	+	0.965238i	$0.415824\pi$
$439$	−8.23252	+	36.0690i	−0.392917	+	1.72148i	−0.654291	+	0.756243i	$0.727033\pi$
$440$	−4.11002	+	5.15380i	−0.195937	+	0.245698i
$441$	−1.40022	+	6.13478i	−0.0666773	+	0.292132i
$442$	0.565860	−	2.47920i	0.0269152	−	0.117923i
$443$	−10.7853	−	13.5244i	−0.512427	−	0.642563i	0.456555	−	0.889695i	$-0.349083\pi$
$443$	−10.7853	−	13.5244i	−0.512427	−	0.642563i	−0.968982	+	0.247133i	$0.920512\pi$
$444$	1.45477	+	6.37375i	0.0690402	+	0.302485i
$445$	−7.90103	−	34.6167i	−0.374545	−	1.64099i
$446$	−4.25954	−	2.05129i	−0.201695	−	0.0971312i
$447$	−4.42457	+	5.54824i	−0.209275	+	0.262423i
$448$	5.78522	+	7.25444i	0.273326	+	0.342740i
$449$	−21.8863	−	10.5399i	−1.03288	−	0.497407i	−0.160908	−	0.986969i	$-0.551442\pi$
$449$	−21.8863	−	10.5399i	−1.03288	−	0.497407i	−0.871968	+	0.489562i	$0.837157\pi$
$450$	−5.82956	+	7.31003i	−0.274808	+	0.344598i
$451$	−29.5935	−	14.2515i	−1.39350	−	0.671075i
$452$	7.02387	−	8.80765i	0.330375	−	0.414277i
$453$	−3.49992	+	1.68547i	−0.164440	+	0.0791904i
$454$	−29.4090	−	14.1626i	−1.38023	−	0.664685i
$455$	−13.8298	+	6.66009i	−0.648352	+	0.312230i
$456$	1.54074	−	1.93202i	0.0721516	−	0.0904752i
$457$	0.235267	+	1.03077i	0.0110053	+	0.0482175i	0.980132	−	0.198344i	$-0.0635564\pi$
$457$	0.235267	+	1.03077i	0.0110053	+	0.0482175i	−0.969127	+	0.246562i	$0.920699\pi$
$458$	−12.2437	−	5.89627i	−0.572112	−	0.275515i
$459$	−1.09886	+	1.37793i	−0.0512904	+	0.0643161i
$460$	−11.1732	+	5.38073i	−0.520953	+	0.250878i
$461$	2.45730	−	10.7661i	0.114448	−	0.501429i	−0.884916	−	0.465751i	$-0.845784\pi$
$461$	2.45730	−	10.7661i	0.114448	−	0.501429i	0.999363	−	0.0356771i	$-0.0113588\pi$
$462$	−8.13424			−0.378439
$463$	22.4294			1.04238			0.521191	−	0.853440i	$-0.325488\pi$
$463$	22.4294			1.04238			0.521191	+	0.853440i	$0.325488\pi$
$464$	−0.501157	−	0.628431i	−0.0232656	−	0.0291742i
$465$	−6.19662	−	7.77032i	−0.287362	−	0.360340i
$466$	29.4613	−	14.1878i	1.36477	−	0.657239i
$467$	3.95646	−	17.3344i	0.183083	−	0.802140i	−0.797068	−	0.603889i	$-0.793617\pi$
$467$	3.95646	−	17.3344i	0.183083	−	0.802140i	0.980151	−	0.198250i	$-0.0635259\pi$
$468$	2.48350	+	10.8809i	0.114800	+	0.502971i
$469$	−9.39025	+	11.7750i	−0.433602	+	0.543719i
$470$	−11.1631	+	13.9981i	−0.514917	+	0.645685i
$471$	6.88945			0.317449
$472$	1.64137	+	7.19132i	0.0755503	+	0.331008i
$473$	−20.4344	+	25.6240i	−0.939577	+	1.17819i
$474$	−11.6213	+	14.5726i	−0.533783	+	0.669342i
$475$	−2.05118	+	8.98680i	−0.0941146	+	0.412343i
$476$	−1.49551	−	0.720198i	−0.0685464	−	0.0330102i
$477$	−11.8278			−0.541556
$478$	2.73846			0.125254
$479$	1.99749	−	8.75157i	0.0912676	−	0.399870i	−0.908573	−	0.417726i	$-0.862827\pi$
$479$	1.99749	−	8.75157i	0.0912676	−	0.399870i	0.999841	+	0.0178566i	$0.00568425\pi$
$480$	−7.58997	+	9.51752i	−0.346433	+	0.434413i
$481$	17.6680			0.805593
$482$	−12.3783	−	54.2327i	−0.563814	−	2.47023i
$483$	3.69019	+	1.77710i	0.167909	+	0.0808609i
$484$	0.400720	+	1.75567i	0.0182145	+	0.0798030i
$485$	4.09168	−	17.9268i	0.185794	−	0.814015i
$486$	5.99804	−	26.2791i	0.272077	−	1.19205i
$487$	10.1882			0.461672			0.230836	−	0.972993i	$-0.425854\pi$
$487$	10.1882			0.461672			0.230836	+	0.972993i	$0.425854\pi$
$488$	−1.57559	−	6.90313i	−0.0713238	−	0.312490i
$489$	−7.44294	−	9.33315i	−0.336581	−	0.422060i
$490$	−2.68836	−	11.7785i	−0.121448	−	0.532096i
$491$	9.68027	+	12.1387i	0.436865	+	0.547811i	0.950714	−	0.310070i	$-0.100352\pi$
$491$	9.68027	+	12.1387i	0.436865	+	0.547811i	−0.513849	+	0.857880i	$0.671781\pi$
$492$	−9.52724	−	4.58808i	−0.429521	−	0.206846i
$493$	0.0763797	+	0.0367825i	0.00343997	+	0.00165660i
$494$	15.5570	+	19.5079i	0.699942	+	0.877700i
$495$	4.75556	+	20.8355i	0.213746	+	0.936484i
$496$	17.1700	+	21.5304i	0.770954	+	0.966745i
$497$	1.40873	+	6.17204i	0.0631901	+	0.276854i
$498$	−0.726819			−0.0325695
$499$	−4.59680	+	20.1399i	−0.205781	+	0.901585i	0.761558	+	0.648097i	$0.224435\pi$
$499$	−4.59680	+	20.1399i	−0.205781	+	0.901585i	−0.967339	+	0.253488i	$0.918422\pi$
$500$	−2.85245	+	12.4974i	−0.127565	+	0.558901i
$501$	−0.0760929	−	0.333385i	−0.00339958	−	0.0148945i
$502$	3.13231	+	1.50844i	0.139802	+	0.0673250i
$503$	−2.71332	−	11.8878i	−0.120981	−	0.530052i	−0.998705	−	0.0508847i	$-0.983796\pi$
$503$	−2.71332	−	11.8878i	−0.120981	−	0.530052i	0.877724	−	0.479167i	$-0.159061\pi$
$504$	−4.42159			−0.196953
$505$	25.1260	−	31.5070i	1.11809	−	1.40204i
$506$	−3.95198	+	17.3147i	−0.175687	+	0.769734i
$507$	3.54777			0.157562
$508$	17.7947			0.789512
$509$	5.83557	+	2.81026i	0.258657	+	0.124563i	0.558719	−	0.829357i	$-0.311293\pi$
$509$	5.83557	+	2.81026i	0.258657	+	0.124563i	−0.300062	+	0.953920i	$0.597007\pi$
$510$	0.348833	−	1.52834i	0.0154466	−	0.0676759i
$511$	−5.92277	+	7.42692i	−0.262008	+	0.328548i
$512$	16.3831	−	20.5438i	0.724038	−	0.907915i
$513$	−3.84806	−	16.8595i	−0.169896	−	0.744363i
$514$	−35.5112			−1.56633
$515$	1.39409	−	1.74813i	0.0614309	−	0.0770319i
$516$	−6.57861	+	8.24931i	−0.289607	+	0.363156i
$517$	2.51610	+	11.0237i	0.110658	+	0.484823i
$518$	5.81936	−	25.4963i	0.255688	−	1.12024i
$519$	−6.04587	+	2.91154i	−0.265384	+	0.127802i
$520$	3.57586	+	4.48399i	0.156812	+	0.196636i
$521$	−2.24469	−	2.81476i	−0.0983418	−	0.123317i	0.730225	−	0.683206i	$-0.239415\pi$
$521$	−2.24469	−	2.81476i	−0.0983418	−	0.123317i	−0.828567	+	0.559890i	$0.810844\pi$
$522$	−0.843722			−0.0369287
$523$	20.3397			0.889391			0.444696	−	0.895682i	$-0.353312\pi$
$523$	20.3397			0.889391			0.444696	+	0.895682i	$0.353312\pi$
$524$	−3.99727	+	17.5132i	−0.174622	+	0.765068i
$525$	−2.35559	+	1.13439i	−0.102806	+	0.0495090i
$526$	4.12379	−	5.17107i	0.179806	−	0.225470i
$527$	−2.61682	−	1.26019i	−0.113990	−	0.0548948i
$528$	2.08878	+	9.15156i	0.0909027	+	0.398271i
$529$	−8.76462	+	10.9905i	−0.381071	+	0.477847i
$530$	20.4598	−	9.85293i	0.888718	−	0.427984i
$531$	21.5458	+	10.3759i	0.935008	+	0.450276i
$532$	14.6739	−	7.06659i	0.636195	−	0.306375i
$533$	−17.8177	+	22.3427i	−0.771772	+	0.967771i
$534$	−14.7492	−	7.10286i	−0.638262	−	0.307371i
$535$	32.3908	−	40.6168i	1.40038	−	1.75602i
$536$	5.06994	+	2.44155i	0.218988	+	0.105459i
$537$	−0.617108	−	0.773829i	−0.0266302	−	0.0333932i
$538$	−36.0635	+	45.2221i	−1.55481	+	1.94967i
$539$	−6.87425	−	3.31046i	−0.296095	−	0.142592i
$540$	3.30467	+	14.4787i	0.142210	+	0.623065i
$541$	−8.58376	−	37.6079i	−0.369045	−	1.61689i	−0.729409	−	0.684078i	$-0.760205\pi$
$541$	−8.58376	−	37.6079i	−0.369045	−	1.61689i	0.360364	−	0.932812i	$-0.382652\pi$
$542$	18.6811	+	23.4254i	0.802423	+	1.00621i
$543$	1.75813	−	7.70285i	0.0754484	−	0.330561i
$544$	−0.791624	+	3.46833i	−0.0339406	+	0.148703i
$545$	−21.3257	+	26.7416i	−0.913494	+	1.14548i
$546$	−1.57480	+	6.89964i	−0.0673951	+	0.295277i
$547$	10.2584	−	44.9449i	0.438617	−	1.92171i	0.0542471	−	0.998528i	$-0.482724\pi$
$547$	10.2584	−	44.9449i	0.438617	−	1.92171i	0.384370	−	0.923179i	$-0.374419\pi$
$548$	4.18424	−	2.01502i	0.178742	−	0.0860775i
$549$	−20.6823	−	9.96008i	−0.882700	−	0.425086i
$550$	−7.06846	−	8.86356i	−0.301400	−	0.377944i
$551$	−0.749438	+	0.360911i	−0.0319272	+	0.0153753i
$552$	0.340529	−	1.49196i	0.0144939	−	0.0635018i
$553$	29.6238	−	14.2660i	1.25973	−	0.606654i
$554$	9.48984	−	41.5777i	0.403184	−	1.76647i
$555$	10.8917			0.462328
$556$	−4.22009	−	18.4894i	−0.178972	−	0.784127i
$557$	18.2317	+	8.77991i	0.772501	+	0.372017i	0.778240	−	0.627967i	$-0.216113\pi$
$557$	18.2317	+	8.77991i	0.772501	+	0.372017i	−0.00573928	+	0.999984i	$0.501827\pi$
$558$	28.9064			1.22371
$559$	17.7787	+	22.2938i	0.751959	+	0.942926i
$560$	23.6232	−	11.3763i	0.998263	−	0.480738i
$561$	−0.617271	−	0.774033i	−0.0260612	−	0.0326797i
$562$	−5.82964	+	2.80741i	−0.245908	+	0.118423i
$563$	−19.8596	+	9.56386i	−0.836981	+	0.403069i	−0.802729	−	0.596345i	$-0.796619\pi$
$563$	−19.8596	+	9.56386i	−0.836981	+	0.403069i	−0.0342521	+	0.999413i	$0.510905\pi$
$564$	0.810025	+	3.54895i	0.0341082	+	0.149438i
$565$	−11.7017	−	14.6735i	−0.492296	−	0.617320i
$566$	−8.04148	+	35.2320i	−0.338009	+	1.48091i
$567$	−7.29630	+	9.14927i	−0.306416	+	0.384233i
$568$	2.13113	−	1.02630i	0.0894204	−	0.0430626i
$569$	19.4417	−	24.3792i	0.815040	−	1.02203i	−0.184194	−	0.982890i	$-0.558967\pi$
$569$	19.4417	−	24.3792i	0.815040	−	1.02203i	0.999234	−	0.0391382i	$-0.0124613\pi$
$570$	9.59034	+	12.0259i	0.401695	+	0.503710i
$571$	−30.3467			−1.26997			−0.634984	−	0.772525i	$-0.718994\pi$
$571$	−30.3467			−1.26997			−0.634984	+	0.772525i	$0.718994\pi$
$572$	−13.5326			−0.565828
$573$	8.69558	+	4.18757i	0.363263	+	0.174938i
$574$	26.3736	+	33.0714i	1.10081	+	1.38037i
$575$	1.27025	+	5.56531i	0.0529729	+	0.232090i
$576$	−2.50105	−	10.9578i	−0.104210	−	0.456576i
$577$	16.3988			0.682692			0.341346	−	0.939938i	$-0.389117\pi$
$577$	16.3988			0.682692			0.341346	+	0.939938i	$0.389117\pi$
$578$	7.05328	+	30.9024i	0.293378	+	1.28537i
$579$	−4.93930	+	2.37864i	−0.205270	+	0.0988529i
$580$	0.643610	−	0.309946i	0.0267244	−	0.0128698i
$581$	1.15516	+	0.556295i	0.0479241	+	0.0230790i
$582$	−5.28576	−	6.62813i	−0.219102	−	0.274745i
$583$	3.19126	−	13.9818i	0.132169	−	0.579068i
$584$	3.19779	+	1.53997i	0.132326	+	0.0637246i
$585$	18.5938			0.768758
$586$	5.76555	+	7.22977i	0.238173	+	0.298659i
$587$	−13.5694	+	17.0155i	−0.560070	+	0.702306i	−0.978571	−	0.205911i	$-0.933984\pi$
$587$	−13.5694	+	17.0155i	−0.560070	+	0.702306i	0.418501	+	0.908217i	$0.362556\pi$
$588$	−2.21308	−	1.06576i	−0.0912658	−	0.0439513i
$589$	25.6762	−	12.3650i	1.05797	−	0.509492i
$590$	−45.9137			−1.89024
$591$	−3.73665	−	8.17942i	−0.153705	−	0.336456i
$592$	−30.1794			−1.24037
$593$	−21.9693	+	10.5798i	−0.902170	+	0.434462i	−0.826672	−	0.562684i	$-0.809769\pi$
$593$	−21.9693	+	10.5798i	−0.902170	+	0.434462i	−0.0754977	+	0.997146i	$0.524055\pi$
$594$	19.1621	+	9.22798i	0.786230	+	0.378629i
$595$	−1.72418	+	2.16205i	−0.0706844	+	0.0886354i
$596$	10.8957	+	13.6627i	0.446303	+	0.559647i
$597$	12.8157			0.524510
$598$	13.9216	+	6.70431i	0.569298	+	0.274160i
$599$	−3.57825	+	15.6774i	−0.146203	+	0.640559i	0.847716	+	0.530450i	$0.177977\pi$
$599$	−3.57825	+	15.6774i	−0.146203	+	0.640559i	−0.993920	+	0.110109i	$0.964880\pi$
$600$	0.609066	+	0.763745i	0.0248650	+	0.0311797i
$601$	6.52584	+	3.14268i	0.266194	+	0.128192i	0.562220	−	0.826987i	$-0.309947\pi$
$601$	6.52584	+	3.14268i	0.266194	+	0.128192i	−0.296026	+	0.955180i	$0.595662\pi$
$602$	38.0274	−	18.3130i	1.54988	−	0.746383i
$603$	16.4369	−	7.91557i	0.669360	−	0.322347i
$604$	2.12863	+	9.32615i	0.0866129	+	0.379476i
$605$	3.00016			0.121974
$606$	−4.13440	−	18.1140i	−0.167948	−	0.735830i
$607$	−1.38922	−	6.08655i	−0.0563865	−	0.247046i	0.938878	−	0.344250i	$-0.111867\pi$
$607$	−1.38922	−	6.08655i	−0.0563865	−	0.247046i	−0.995264	+	0.0972049i	$0.969010\pi$
$608$	−21.7638	−	27.2910i	−0.882640	−	1.10680i
$609$	−0.212566	−	0.102366i	−0.00861360	−	0.00414809i
$610$	44.0736			1.78449
$611$	9.83769			0.397990
$612$	1.25363	+	1.57200i	0.0506749	+	0.0635443i
$613$	−15.0277	+	18.8442i	−0.606965	+	0.761110i	−0.986445	−	0.164090i	$-0.947531\pi$
$613$	−15.0277	+	18.8442i	−0.606965	+	0.761110i	0.379480	+	0.925200i	$0.376103\pi$
$614$	55.4582	−	26.7072i	2.23811	−	1.07782i
$615$	−10.9840	+	13.7735i	−0.442918	+	0.555401i
$616$	1.19299	−	5.22685i	0.0480671	−	0.210596i
$617$	−25.8472	−	32.4113i	−1.04057	−	1.30483i	−0.951114	−	0.308839i	$-0.900060\pi$
$617$	−25.8472	−	32.4113i	−1.04057	−	1.30483i	−0.0894527	−	0.995991i	$-0.528512\pi$
$618$	−0.229392	−	1.00503i	−0.00922751	−	0.0404284i
$619$	−6.19030	+	2.98109i	−0.248809	+	0.119820i	−0.554132	−	0.832429i	$-0.686950\pi$
$619$	−6.19030	+	2.98109i	−0.248809	+	0.119820i	0.305323	+	0.952249i	$0.401236\pi$
$620$	−22.0505	+	10.6189i	−0.885568	+	0.426467i
$621$	−6.67705	−	8.37276i	−0.267941	−	0.335987i
$622$	−19.7187	+	9.49602i	−0.790648	+	0.380756i
$623$	18.0051	+	22.5777i	0.721359	+	0.904555i
$624$	8.16695			0.326940
$625$	27.8405	+	13.4073i	1.11362	+	0.536291i
$626$	−11.5433	−	50.5743i	−0.461361	−	2.02136i
$627$	9.71414			0.387945
$628$	3.77518	−	16.5401i	0.150646	−	0.660023i
$629$	2.86777	−	1.38104i	0.114345	−	0.0550658i
$630$	6.12428	−	26.8322i	0.243997	−	1.06902i
$631$	7.61064	−	3.66509i	0.302975	−	0.145905i	−0.276219	−	0.961095i	$-0.589082\pi$
$631$	7.61064	−	3.66509i	0.302975	−	0.145905i	0.579194	+	0.815190i	$0.303367\pi$
$632$	−7.65957	−	9.60479i	−0.304681	−	0.382058i
$633$	−1.60518	−	0.773013i	−0.0638001	−	0.0307245i
$634$	18.1784	−	8.75427i	0.721958	−	0.347677i
$635$	6.59684	−	28.9026i	0.261787	−	1.14697i
$636$	1.02739	−	4.50127i	0.0407385	−	0.178487i
$637$	−4.13887	+	5.18998i	−0.163988	+	0.205635i
$638$	0.227646	−	0.997381i	0.00901258	−	0.0394867i
$639$	1.70643	−	7.47635i	0.0675052	−	0.295760i
$640$	−10.2385	−	12.8387i	−0.404712	−	0.507493i
$641$	−1.67384	−	7.33357i	−0.0661127	−	0.289659i	0.931054	−	0.364881i	$-0.118890\pi$
$641$	−1.67384	−	7.33357i	−0.0661127	−	0.289659i	−0.997167	+	0.0752226i	$0.976033\pi$
$642$	−5.32979	−	23.3513i	−0.210350	−	0.921604i
$643$	21.4384	+	10.3242i	0.845446	+	0.407145i	0.805885	−	0.592072i	$-0.201690\pi$
$643$	21.4384	+	10.3242i	0.845446	+	0.407145i	0.0395610	+	0.999217i	$0.487404\pi$
$644$	6.28854	−	7.88558i	0.247803	−	0.310736i
$645$	10.9599	+	13.7433i	0.431547	+	0.541143i
$646$	4.04997	+	1.95036i	0.159344	+	0.0767360i
$647$	13.7619	−	17.2568i	0.541035	−	0.678436i	−0.433891	−	0.900965i	$-0.642860\pi$
$647$	13.7619	−	17.2568i	0.541035	−	0.678436i	0.974926	+	0.222529i	$0.0714312\pi$
$648$	3.93938	+	1.89710i	0.154753	+	0.0745253i
$649$	−18.0789	+	22.6702i	−0.709657	+	0.889882i
$650$	−8.88673	+	4.27962i	−0.348566	+	0.167861i
$651$	7.28264	+	3.50713i	0.285429	+	0.137455i
$652$	−26.4854	+	12.7547i	−1.03725	+	0.499513i
$653$	19.8511	−	24.8925i	0.776834	−	0.974120i	−0.223165	−	0.974781i	$-0.571639\pi$
$653$	19.8511	−	24.8925i	0.776834	−	0.974120i	1.00000		0.000660975i	$0.000210395\pi$
$654$	3.50907	+	15.3743i	0.137216	+	0.601181i
$655$	26.9635	+	12.9850i	1.05355	+	0.507364i
$656$	30.4351	−	38.1644i	1.18829	−	1.49007i
$657$	10.3673	−	4.99264i	0.404468	−	0.194781i
$658$	3.24026	−	14.1965i	0.126319	−	0.553438i
$659$	−32.4046			−1.26230			−0.631152	−	0.775659i	$-0.717418\pi$
$659$	−32.4046			−1.26230			−0.631152	+	0.775659i	$0.717418\pi$
$660$	−8.34240			−0.324727
$661$	23.0381	+	28.8888i	0.896077	+	1.12364i	0.991744	+	0.128231i	$0.0409299\pi$
$661$	23.0381	+	28.8888i	0.896077	+	1.12364i	−0.0956678	+	0.995413i	$0.530499\pi$
$662$	14.9578	+	18.7564i	0.581350	+	0.728989i
$663$	−0.776056	+	0.373729i	−0.0301395	+	0.0145144i
$664$	0.106598	−	0.467035i	0.00413679	−	0.0181245i
$665$	−6.03784	−	26.4535i	−0.234137	−	1.02582i
$666$	−19.7513	+	24.7673i	−0.765346	+	0.959713i
$667$	−0.321174	+	0.402739i	−0.0124359	+	0.0155941i
$668$	−0.842083			−0.0325812
$669$	0.356343	+	1.56124i	0.0137770	+	0.0603611i
$670$	−21.8387	+	27.3849i	−0.843704	+	1.05797i
$671$	17.3543	−	21.7616i	0.669957	−	0.840099i
$672$	2.20310	−	9.65242i	0.0849865	−	0.372350i
$673$	−22.7698	−	10.9654i	−0.877713	−	0.422684i	−0.0599242	−	0.998203i	$-0.519086\pi$
$673$	−22.7698	−	10.9654i	−0.877713	−	0.422684i	−0.817789	+	0.575519i	$0.804800\pi$
$674$	−5.34928			−0.206046
$675$	6.83608			0.263121
$676$	1.94405	−	8.51746i	0.0747713	−	0.327595i
$677$	0.470736	−	0.590285i	0.0180919	−	0.0226865i	−0.772703	−	0.634767i	$-0.781096\pi$
$677$	0.470736	−	0.590285i	0.0180919	−	0.0226865i	0.790795	+	0.612081i	$0.209667\pi$
$678$	−8.65303			−0.332318
$679$	3.32778	+	14.5800i	0.127709	+	0.559528i
$680$	0.930909	+	0.448302i	0.0356987	+	0.0171916i
$681$	2.46029	+	10.7792i	0.0942786	+	0.413061i
$682$	−7.79928	+	34.1709i	−0.298650	+	1.30847i
$683$	−11.0447	+	48.3899i	−0.422613	+	1.85159i	0.0942900	+	0.995545i	$0.469942\pi$
$683$	−11.0447	+	48.3899i	−0.422613	+	1.85159i	−0.516903	+	0.856044i	$0.672915\pi$
$684$	−19.7286			−0.754344
$685$	−1.72168	−	7.54316i	−0.0657819	−	0.288209i
$686$	23.7740	+	29.8117i	0.907696	+	1.13821i
$687$	1.02428	+	4.48768i	0.0390788	+	0.171216i
$688$	−30.3684	−	38.0808i	−1.15778	−	1.45182i
$689$	−11.2419	−	5.41380i	−0.428281	−	0.206249i
$690$	8.58220	+	4.13297i	0.326719	+	0.157340i
$691$	1.89778	+	2.37974i	0.0721949	+	0.0905296i	0.816618	−	0.577179i	$-0.195847\pi$
$691$	1.89778	+	2.37974i	0.0721949	+	0.0905296i	−0.744423	+	0.667709i	$0.767275\pi$
$692$	3.67707	+	16.1103i	0.139781	+	0.612421i
$693$	−10.8371	−	13.5893i	−0.411667	−	0.516215i
$694$	4.49637	+	19.6999i	0.170680	+	0.747798i
$695$	−31.5955			−1.19849
$696$	−0.0196155	+	0.0859411i	−0.000743523	+	0.00325759i
$697$	−1.14562	+	5.01928i	−0.0433934	+	0.190119i
$698$	11.5657	+	50.6728i	0.437770	+	1.91799i
$699$	−9.97924	−	4.80575i	−0.377450	−	0.181770i
$700$	1.43266	+	6.27689i	0.0541495	+	0.237244i
$701$	−44.8646			−1.69451			−0.847256	−	0.531185i	$-0.821747\pi$
$701$	−44.8646			−1.69451			−0.847256	+	0.531185i	$0.821747\pi$
$702$	11.5372	−	14.4672i	0.435443	−	0.546028i
$703$	−6.94965	+	30.4484i	−0.262111	+	1.14838i
$704$	13.6283			0.513635
$705$	6.06459			0.228406
$706$	40.2251	+	19.3714i	1.51389	+	0.729052i
$707$	−7.29320	+	31.9536i	−0.274289	+	1.20174i
$708$	−5.82026	+	7.29837i	−0.218739	+	0.274290i
$709$	−8.62436	+	10.8146i	−0.323895	+	0.406151i	−0.916945	−	0.399015i	$-0.869352\pi$
$709$	−8.62436	+	10.8146i	−0.323895	+	0.406151i	0.593050	+	0.805166i	$0.297924\pi$
$710$	3.27625	+	14.3542i	0.122956	+	0.538703i
$711$	−39.8282			−1.49368
$712$	6.72729	−	8.43575i	0.252116	−	0.316143i
$713$	11.0036	−	13.7981i	0.412088	−	0.516742i
$714$	0.283707	+	1.24300i	0.0106175	+	0.0465182i
$715$	−5.01681	+	21.9801i	−0.187618	+	0.822008i
$716$	−2.19596	+	1.05752i	−0.0820667	+	0.0395212i
$717$	−0.578337	−	0.725212i	−0.0215984	−	0.0270835i
$718$	−39.5565	−	49.6023i	−1.47624	−	1.85114i
$719$	10.1334			0.377912			0.188956	−	0.981986i	$-0.439490\pi$
$719$	10.1334			0.377912			0.188956	+	0.981986i	$0.439490\pi$
$720$	−31.7607			−1.18365
$721$	−0.404655	+	1.77291i	−0.0150701	+	0.0660266i
$722$	−7.35912	+	3.54396i	−0.273878	+	0.131893i
$723$	−11.7480	+	14.7315i	−0.436912	+	0.547870i
$724$	−17.5295	−	8.44178i	−0.651480	−	0.313736i
$725$	−0.0731700	−	0.320579i	−0.00271747	−	0.0119060i
$726$	0.862423	−	1.08144i	0.0320075	−	0.0401362i
$727$	−14.4171	+	6.94292i	−0.534701	+	0.257499i	−0.681692	−	0.731639i	$-0.738756\pi$
$727$	−14.4171	+	6.94292i	−0.534701	+	0.257499i	0.146991	+	0.989138i	$0.453041\pi$
$728$	−4.20256	−	2.02385i	−0.155757	−	0.0750088i
$729$	6.56999	−	3.16394i	0.243333	−	0.117183i
$730$	−13.7745	+	17.2727i	−0.509816	+	0.639290i
$731$	4.62835	+	2.22890i	0.171186	+	0.0824387i
$732$	5.58701	−	7.00588i	0.206502	−	0.258945i
$733$	−30.3255	−	14.6040i	−1.12010	−	0.539411i	−0.220175	−	0.975460i	$-0.570663\pi$
$733$	−30.3255	−	14.6040i	−1.12010	−	0.539411i	−0.899923	+	0.436050i	$0.856377\pi$
$734$	21.2367	+	26.6299i	0.783860	+	0.982929i
$735$	−2.55147	+	3.19944i	−0.0941124	+	0.118013i
$736$	−19.4760	−	9.37916i	−0.717896	−	0.345720i
$737$	4.92231	+	21.5660i	0.181316	+	0.794395i
$738$	−11.4017	−	49.9543i	−0.419704	−	1.83884i
$739$	−26.1812	−	32.8302i	−0.963090	−	1.20768i	−0.978173	−	0.207790i	$-0.933373\pi$
$739$	−26.1812	−	32.8302i	−0.963090	−	1.20768i	0.0150834	−	0.999886i	$-0.495199\pi$
$740$	5.96829	−	26.1488i	0.219399	−	0.961248i
$741$	1.88067	−	8.23975i	0.0690881	−	0.302695i
$742$	−11.5153	+	14.4397i	−0.422739	+	0.530098i
$743$	4.14281	−	18.1508i	0.151985	−	0.665890i	−0.840322	−	0.542088i	$-0.817634\pi$
$743$	4.14281	−	18.1508i	0.151985	−	0.665890i	0.992307	−	0.123802i	$-0.0395088\pi$
$744$	0.672039	−	2.94439i	0.0246381	−	0.107947i
$745$	26.2306	−	12.6320i	0.961015	−	0.462800i
$746$	−56.7254	−	27.3175i	−2.07687	−	1.00017i
$747$	−0.968328	−	1.21424i	−0.0354293	−	0.0444269i
$748$	−2.19653	+	1.05780i	−0.0803133	+	0.0386768i
$749$	−9.40192	+	41.1925i	−0.343539	+	1.50514i
$750$	8.87112	−	4.27211i	0.323927	−	0.155995i
$751$	3.22436	−	14.1269i	0.117659	−	0.515497i	−0.881410	−	0.472352i	$-0.843405\pi$
$751$	3.22436	−	14.1269i	0.117659	−	0.515497i	0.999069	−	0.0431448i	$-0.0137377\pi$
$752$	−16.8041			−0.612783
$753$	−0.262042	−	1.14808i	−0.00954934	−	0.0418384i
$754$	−0.801928	−	0.386188i	−0.0292045	−	0.0140641i
$755$	15.9369			0.580004
$756$	−7.53078	−	9.44330i	−0.273892	−	0.343449i
$757$	−40.3237	+	19.4189i	−1.46559	+	0.705791i	−0.985223	−	0.171276i	$-0.945211\pi$
$757$	−40.3237	+	19.4189i	−1.46559	+	0.705791i	−0.480368	+	0.877067i	$0.659497\pi$
$758$	−19.1769	−	24.0471i	−0.696538	−	0.873431i
$759$	5.41999	−	2.61013i	0.196733	−	0.0947417i
$760$	−9.13409	+	4.39874i	−0.331328	+	0.159559i
$761$	−3.77328	−	16.5318i	−0.136781	−	0.599278i	−0.996130	−	0.0878884i	$-0.971988\pi$
$761$	−3.77328	−	16.5318i	−0.136781	−	0.599278i	0.859349	−	0.511389i	$-0.170869\pi$
$762$	−8.52199	−	10.6862i	−0.308719	−	0.387122i
$763$	6.19011	−	27.1206i	0.224097	−	0.981833i
$764$	14.8184	−	18.5816i	0.536110	−	0.672260i
$765$	3.01803	−	1.45341i	0.109117	−	0.0525480i
$766$	−33.9969	+	42.6308i	−1.22836	+	1.54031i
$767$	15.7293	+	19.7239i	0.567950	+	0.712187i
$768$	−13.1328			−0.473888
$769$	−15.2430			−0.549678			−0.274839	−	0.961490i	$-0.588625\pi$
$769$	−15.2430			−0.549678			−0.274839	+	0.961490i	$0.588625\pi$
$770$	30.0665	+	14.4793i	1.08352	+	0.521796i
$771$	7.49962	+	9.40423i	0.270092	+	0.338685i
$772$	3.00406	+	13.1616i	0.108118	+	0.473698i
$773$	12.0499	+	52.7942i	0.433406	+	1.89888i	0.438180	+	0.898887i	$0.355623\pi$
$773$	12.0499	+	52.7942i	0.433406	+	1.89888i	−0.00477430	+	0.999989i	$0.501520\pi$
$774$	−51.1267			−1.83771
$775$	2.50685	+	10.9832i	0.0900486	+	0.394529i
$776$	5.03429	−	2.42439i	0.180721	−	0.0870304i
$777$	−7.98104	+	3.84347i	−0.286318	+	0.137884i
$778$	13.1291	+	6.32262i	0.470700	+	0.226677i
$779$	−31.4961	−	39.4948i	−1.12846	−	1.41505i
$780$	−1.61510	+	7.07621i	−0.0578298	+	0.253369i
$781$	8.37753	+	4.03440i	0.299772	+	0.144362i
$782$	2.78373			0.0995458
$783$	0.384618	+	0.482296i	0.0137451	+	0.0172358i
$784$	7.06975	−	8.86519i	0.252491	−	0.316614i
$785$	−25.4654	−	12.2635i	−0.908900	−	0.437703i
$786$	12.4315	−	5.98670i	0.443417	−	0.213539i
$787$	29.4066			1.04823			0.524116	−	0.851647i	$-0.324396\pi$
$787$	29.4066			1.04823			0.524116	+	0.851647i	$0.324396\pi$
$788$	−21.6846	+	4.48887i	−0.772483	+	0.159910i
$789$	−2.24033			−0.0797580
$790$	68.8954	−	33.1783i	2.45119	−	1.18043i
$791$	13.7526	+	6.62289i	0.488985	+	0.235483i
$792$	−4.04909	+	5.07740i	−0.143878	+	0.180418i
$793$	−15.0989	−	18.9334i	−0.536177	−	0.672345i
$794$	15.4185			0.547181
$795$	−6.93022	−	3.33742i	−0.245789	−	0.118366i
$796$	7.02253	−	30.7677i	0.248907	−	1.09053i
$797$	−0.00458725	−	0.00575223i	−0.000162489	−	0.000203755i	0.781750	−	0.623592i	$-0.214327\pi$
$797$	−0.00458725	−	0.00575223i	−0.000162489	−	0.000203755i	−0.781913	+	0.623388i	$0.785756\pi$
$798$	−11.2711	−	5.42789i	−0.398994	−	0.192145i
$799$	1.59679	−	0.768975i	0.0564905	−	0.0272044i
$800$	12.4323	−	5.98708i	0.439549	−	0.211675i
$801$	−7.78391	−	34.1035i	−0.275031	−	1.20499i
$802$	27.9173			0.985796
$803$	3.10468	+	13.6025i	0.109562	+	0.480021i
$804$	1.58467	+	6.94291i	0.0558871	+	0.244858i
$805$	−10.4767	−	13.1374i	−0.369255	−	0.463031i
$806$	27.4745	+	13.2310i	0.967750	+	0.466044i
$807$	19.5922			0.689678
$808$	12.2459			0.430810
$809$	31.1259	+	39.0307i	1.09433	+	1.37225i	0.921993	+	0.387207i	$0.126560\pi$
$809$	31.1259	+	39.0307i	1.09433	+	1.37225i	0.172336	+	0.985038i	$0.444868\pi$
$810$	−16.9689	+	21.2783i	−0.596225	+	0.747643i
$811$	30.6871	−	14.7781i	1.07757	−	0.518930i	0.191030	−	0.981584i	$-0.438817\pi$
$811$	30.6871	−	14.7781i	1.07757	−	0.518930i	0.886539	+	0.462655i	$0.153103\pi$
$812$	−0.362239	+	0.454233i	−0.0127121	+	0.0159405i
$813$	2.25834	−	9.89444i	0.0792035	−	0.347013i
$814$	−23.9488	−	30.0309i	−0.839405	−	1.05258i
$815$	10.8979	+	47.7467i	0.381736	+	1.67250i
$816$	1.32561	−	0.638380i	0.0464056	−	0.0223478i
$817$	−45.4134	+	21.8699i	−1.58881	+	0.765133i
$818$	−23.6983	−	29.7167i	−0.828591	−	1.03902i
$819$	−13.6248	+	6.56136i	−0.476090	+	0.229273i
$820$	27.0485	+	33.9177i	0.944574	+	1.18446i
$821$	−52.7209			−1.83997			−0.919986	−	0.391951i	$-0.871800\pi$
$821$	−52.7209			−1.83997			−0.919986	+	0.391951i	$0.871800\pi$
$822$	−3.21394	−	1.54775i	−0.112099	−	0.0539840i
$823$	−0.111999	−	0.490699i	−0.00390403	−	0.0171047i	0.972938	−	0.231065i	$-0.0742209\pi$
$823$	−0.111999	−	0.490699i	−0.00390403	−	0.0171047i	−0.976842	+	0.213960i	$0.931364\pi$
$824$	0.679452			0.0236698
$825$	−0.854498	+	3.74380i	−0.0297498	+	0.130342i
$826$	33.6438	−	16.2020i	1.17062	−	0.563739i
$827$	−5.17266	+	22.6629i	−0.179871	+	0.788066i	0.801817	+	0.597570i	$0.203867\pi$
$827$	−5.17266	+	22.6629i	−0.179871	+	0.788066i	−0.981688	+	0.190496i	$0.938990\pi$
$828$	−11.0076	+	5.30097i	−0.382539	+	0.184221i
$829$	0.266608	+	0.334316i	0.00925968	+	0.0116113i	0.786440	−	0.617667i	$-0.211922\pi$
$829$	0.266608	+	0.334316i	0.00925968	+	0.0116113i	−0.777180	+	0.629278i	$0.783351\pi$
$830$	2.68653	+	1.29377i	0.0932509	+	0.0449073i
$831$	−13.0150	+	6.26767i	−0.451484	+	0.217423i
$832$	2.63845	−	11.5598i	0.0914717	−	0.400764i
$833$	−0.266115	+	1.16593i	−0.00922034	+	0.0403969i
$834$	−9.08243	+	11.3890i	−0.314499	+	0.394369i
$835$	−0.312177	+	1.36773i	−0.0108033	+	0.0473324i
$836$	5.32301	−	23.3216i	0.184100	−	0.806595i
$837$	−13.1772	−	16.5237i	−0.455472	−	0.571144i
$838$	3.66020	+	16.0364i	0.126439	+	0.553967i
$839$	12.3995	+	54.3258i	0.428079	+	1.87554i	0.480640	+	0.876918i	$0.340404\pi$
$839$	12.3995	+	54.3258i	0.428079	+	1.87554i	−0.0525612	+	0.998618i	$0.516738\pi$
$840$	−2.59073	−	1.24763i	−0.0893888	−	0.0430474i
$841$	−18.0627	+	22.6499i	−0.622852	+	0.781032i
$842$	−42.3687	−	53.1287i	−1.46012	−	1.83094i
$843$	1.97463	+	0.950934i	0.0680100	+	0.0327519i
$844$	−2.73543	+	3.43012i	−0.0941573	+	0.118069i
$845$	−13.1136	−	6.31517i	−0.451121	−	0.217248i
$846$	−10.9976	+	13.7906i	−0.378107	+	0.474131i
$847$	−2.19840	+	1.05869i	−0.0755379	+	0.0363771i
$848$	19.2026	+	9.24750i	0.659421	+	0.317560i
$849$	11.0286	−	5.31109i	0.378500	−	0.182276i
$850$	−1.10792	+	1.38928i	−0.0380013	+	0.0476521i
$851$	4.30375	+	18.8560i	0.147531	+	0.646374i
$852$	2.69704	+	1.29882i	0.0923990	+	0.0444970i
$853$	−14.6603	+	18.3835i	−0.501960	+	0.629438i	−0.966670	−	0.256025i	$-0.917587\pi$
$853$	−14.6603	+	18.3835i	−0.501960	+	0.629438i	0.464710	+	0.885463i	$0.346159\pi$
$854$	−32.2955	+	15.5527i	−1.10513	+	0.532202i
$855$	−7.31379	+	32.0438i	−0.250126	+	1.09588i
$856$	15.7867			0.539577
$857$	56.6488			1.93509			0.967544	−	0.252705i	$-0.0813200\pi$
$857$	56.6488			1.93509			0.967544	+	0.252705i	$0.0813200\pi$
$858$	6.48087	+	8.12675i	0.221253	+	0.277443i
$859$	21.8411	+	27.3878i	0.745208	+	0.934461i	0.999466	−	0.0326753i	$-0.0104027\pi$
$859$	21.8411	+	27.3878i	0.745208	+	0.934461i	−0.254258	+	0.967136i	$0.581831\pi$
$860$	39.0005	−	18.7817i	1.32991	−	0.640450i
$861$	3.18827	−	13.9687i	0.108656	−	0.476053i
$862$	−14.7679	−	64.7023i	−0.502996	−	2.20377i
$863$	−14.9206	+	18.7098i	−0.507903	+	0.636890i	−0.967992	−	0.250983i	$-0.919246\pi$
$863$	−14.9206	+	18.7098i	−0.507903	+	0.636890i	0.460089	+	0.887873i	$0.347818\pi$
$864$	−16.1402	+	20.2392i	−0.549102	+	0.688552i
$865$	27.5299			0.936045
$866$	13.8576	+	60.7140i	0.470900	+	2.06315i
$867$	6.69414	−	8.39418i	0.227345	−	0.285081i
$868$	12.4105	−	15.5623i	0.421241	−	0.528219i
$869$	10.7461	−	47.0818i	0.364537	−	1.59714i
$870$	−0.494361	−	0.238071i	−0.0167604	−	0.00807138i
$871$	19.2458			0.652118
$872$	−10.3937			−0.351977
$873$	4.03103	−	17.6611i	0.136430	−	0.597737i
$874$	−17.0300	+	21.3549i	−0.576047	+	0.722340i
$875$	−17.3690			−0.587179
$876$	0.999511	+	4.37914i	0.0337703	+	0.147958i
$877$	19.6480	+	9.46197i	0.663465	+	0.319508i	0.735135	−	0.677920i	$-0.237119\pi$
$877$	19.6480	+	9.46197i	0.663465	+	0.319508i	−0.0716700	+	0.997428i	$0.522833\pi$
$878$	−15.5717	−	68.2241i	−0.525519	−	2.30245i
$879$	0.696991	−	3.05372i	0.0235089	−	0.102999i
$880$	8.56939	−	37.5450i	0.288874	−	1.26564i
$881$	54.7437			1.84436			0.922180	−	0.386760i	$-0.126406\pi$
$881$	54.7437			1.84436			0.922180	+	0.386760i	$0.126406\pi$
$882$	−2.64850	−	11.6039i	−0.0891798	−	0.390722i
$883$	−4.75263	−	5.95960i	−0.159939	−	0.200557i	0.695405	−	0.718618i	$-0.255225\pi$
$883$	−4.75263	−	5.95960i	−0.159939	−	0.200557i	−0.855343	+	0.518062i	$0.826654\pi$
$884$	0.471994	+	2.06794i	0.0158749	+	0.0695523i
$885$	9.69653	+	12.1591i	0.325945	+	0.408723i
$886$	29.4793	+	14.1965i	0.990377	+	0.476940i
$887$	1.57473	+	0.758350i	0.0528742	+	0.0254629i	0.460134	−	0.887849i	$-0.347801\pi$
$887$	1.57473	+	0.758350i	0.0528742	+	0.0254629i	−0.407260	+	0.913312i	$0.633516\pi$
$888$	2.06359	+	2.58766i	0.0692496	+	0.0868362i
$889$	5.36523	+	23.5066i	0.179944	+	0.788387i
$890$	41.8741	+	52.5085i	1.40362	+	1.76009i
$891$	3.82467	+	16.7570i	0.128131	+	0.561380i
$892$	3.94348			0.132038
$893$	−3.86962	+	16.9539i	−0.129492	+	0.567341i
$894$	2.98687	−	13.0863i	0.0998958	−	0.437672i
$895$	0.903564	+	3.95877i	0.0302028	+	0.132327i
$896$	12.0329	+	5.79473i	0.401990	+	0.193588i
$897$	−1.16465	−	5.10268i	−0.0388866	−	0.170373i
$898$	45.9479			1.53330
$899$	−0.633840	+	0.794811i	−0.0211398	+	0.0265084i
$900$	1.73542	−	7.60336i	0.0578473	−	0.253445i
$901$	−2.24789			−0.0748880
$902$	62.1283			2.06865
$903$	−12.8808	−	6.20305i	−0.428645	−	0.206425i
$904$	1.26908	−	5.56021i	0.0422090	−	0.184930i
$905$	−20.2099	+	25.3424i	−0.671800	+	0.842411i
$906$	4.58122	−	5.74466i	0.152201	−	0.190854i
$907$	−1.75366	−	7.68331i	−0.0582295	−	0.255120i	0.937432	−	0.348168i	$-0.113196\pi$
$907$	−1.75366	−	7.68331i	−0.0582295	−	0.255120i	−0.995662	+	0.0930480i	$0.970339\pi$
$908$	27.2269			0.903555
$909$	24.7536	−	31.0400i	0.821024	−	1.02953i
$910$	18.1025	−	22.6999i	0.600093	−	0.752493i
$911$	−9.95176	−	43.6015i	−0.329716	−	1.44458i	−0.819671	−	0.572834i	$-0.805844\pi$
$911$	−9.95176	−	43.6015i	−0.329716	−	1.44458i	0.489955	−	0.871748i	$-0.337013\pi$
$912$	−3.21244	+	14.0746i	−0.106374	+	0.466057i
$913$	1.69665	−	0.817063i	0.0561509	−	0.0270408i
$914$	−1.24688	−	1.56353i	−0.0412430	−	0.0517171i
$915$	−9.30794	−	11.6718i	−0.307711	−	0.385857i
$916$	11.3352			0.374527
$917$	−24.3400			−0.803777
$918$	0.741800	−	3.25004i	0.0244831	−	0.107267i
$919$	−4.79552	+	2.30940i	−0.158190	+	0.0761802i	−0.511303	−	0.859400i	$-0.670837\pi$
$919$	−4.79552	+	2.30940i	−0.158190	+	0.0761802i	0.353114	+	0.935580i	$0.385123\pi$
$920$	−3.91443	+	4.90854i	−0.129055	+	0.161830i
$921$	−18.7850	−	9.04637i	−0.618986	−	0.298088i
$922$	4.64795	+	20.3640i	0.153072	+	0.670652i
$923$	5.04397	−	6.32494i	0.166024	−	0.208188i
$924$	6.11299	−	2.94386i	0.201103	−	0.0968459i
$925$	−11.1234	−	5.35675i	−0.365735	−	0.176129i
$926$	−38.2235	+	18.4075i	−1.25610	+	0.604907i
$927$	1.37342	−	1.72222i	0.0451091	−	0.0565650i
$928$	1.12188	+	0.540267i	0.0368274	+	0.0177351i
$929$	4.08954	−	5.12812i	0.134173	−	0.168248i	−0.710206	−	0.703994i	$-0.751398\pi$
$929$	4.08954	−	5.12812i	0.134173	−	0.168248i	0.844379	+	0.535746i	$0.179970\pi$
$930$	16.9371	+	8.15647i	0.555389	+	0.267461i
$931$	−7.31620	−	9.17423i	−0.239779	−	0.300673i
$932$	−17.0059	+	21.3247i	−0.557046	+	0.698514i
$933$	6.67918	+	3.21652i	0.218667	+	0.105304i
$934$	7.48359	+	32.7878i	0.244871	+	1.07285i
$935$	0.903802	+	3.95982i	0.0295575	+	0.129500i
$936$	3.52286	+	4.41752i	0.115148	+	0.144391i
$937$	3.93217	−	17.2280i	0.128458	−	0.562813i	−0.869203	−	0.494456i	$-0.835367\pi$
$937$	3.93217	−	17.2280i	0.128458	−	0.562813i	0.997661	−	0.0683568i	$-0.0217756\pi$
$938$	6.33902	−	27.7731i	0.206976	−	0.906823i
$939$	−10.9555	+	13.7378i	−0.357519	+	0.448315i
$940$	3.32318	−	14.5598i	0.108390	−	0.474889i
$941$	3.46585	−	15.1849i	0.112984	−	0.495013i	−0.886495	−	0.462737i	$-0.846867\pi$
$941$	3.46585	−	15.1849i	0.112984	−	0.495013i	0.999479	−	0.0322760i	$-0.0102756\pi$
$942$	−11.7408	+	5.65407i	−0.382536	+	0.184220i
$943$	−28.1852	−	13.5733i	−0.917836	−	0.442007i
$944$	−26.8677	−	33.6910i	−0.874469	−	1.09655i
$945$	−18.1299	+	8.73088i	−0.589765	+	0.284016i
$946$	13.7946	−	60.4379i	0.448500	−	1.96500i
$947$	46.0836	−	22.1927i	1.49752	−	0.721166i	0.507439	−	0.861688i	$-0.330592\pi$
$947$	46.0836	−	22.1927i	1.49752	−	0.721166i	0.990078	+	0.140522i	$0.0448781\pi$
$948$	3.45957	−	15.1574i	0.112362	−	0.492288i
$949$	12.1390			0.394048
$950$	−3.87978	−	16.9984i	−0.125877	−	0.551502i
$951$	−6.15746	−	2.96528i	−0.199669	−	0.0961557i
$952$	−0.840331			−0.0272353
$953$	−18.0786	−	22.6698i	−0.585622	−	0.734347i	0.397438	−	0.917629i	$-0.369899\pi$
$953$	−18.0786	−	22.6698i	−0.585622	−	0.734347i	−0.983060	+	0.183282i	$0.941328\pi$
$954$	20.1565	−	9.70687i	0.652592	−	0.314272i
$955$	−24.6874	−	30.9570i	−0.798864	−	1.00174i
$956$	−2.05799	+	0.991077i	−0.0665602	+	0.0320537i
$957$	−0.312208	+	0.150351i	−0.0100922	+	0.00486017i
$958$	3.77823	+	16.5535i	0.122069	+	0.534819i
$959$	3.92341	+	4.91979i	0.126693	+	0.158868i
$960$	1.62651	−	7.12621i	0.0524954	−	0.229997i
$961$	2.38757	−	2.99392i	0.0770185	−	0.0965781i
$962$	−30.1094	+	14.4999i	−0.970764	+	0.467496i
$963$	31.9107	−	40.0147i	1.02831	−	1.28946i
$964$	28.9298	+	36.2768i	0.931765	+	1.16840i
$965$	22.4911			0.724016
$966$	−7.74715			−0.249260
$967$	38.4312	+	18.5075i	1.23586	+	0.595161i	0.933687	−	0.358090i	$-0.116572\pi$
$967$	38.4312	+	18.5075i	1.23586	+	0.595161i	0.302178	+	0.953252i	$0.402286\pi$
$968$	0.568422	+	0.712779i	0.0182698	+	0.0229096i
$969$	−0.338811	−	1.48443i	−0.0108842	−	0.0476868i
$970$	7.73936	+	33.9084i	0.248496	+	1.08873i
$971$	−30.7572			−0.987046			−0.493523	−	0.869733i	$-0.664291\pi$
$971$	−30.7572			−0.987046			−0.493523	+	0.869733i	$0.664291\pi$
$972$	5.00307	+	21.9199i	0.160474	+	0.703081i
$973$	23.1520	−	11.1494i	0.742219	−	0.357434i
$974$	−17.3624	+	8.36131i	−0.556329	+	0.267914i
$975$	3.01014	+	1.44961i	0.0964017	+	0.0464246i
$976$	25.7910	+	32.3408i	0.825548	+	1.03520i
$977$	4.23969	−	18.5753i	0.135640	−	0.594277i	−0.860724	−	0.509073i	$-0.829988\pi$
$977$	4.23969	−	18.5753i	0.135640	−	0.594277i	0.996363	−	0.0852045i	$-0.0271544\pi$
$978$	20.3436	+	9.79697i	0.650517	+	0.313272i
$979$	42.4146			1.35558
$980$	6.28308	+	7.87873i	0.200706	+	0.251677i
$981$	−21.0096	+	26.3452i	−0.670785	+	0.841138i
$982$	−26.4589	−	12.7419i	−0.844336	−	0.406611i
$983$	−18.9468	+	9.12427i	−0.604307	+	0.291019i	−0.710910	−	0.703283i	$-0.751717\pi$
$983$	−18.9468	+	9.12427i	−0.604307	+	0.291019i	0.106603	+	0.994302i	$0.466003\pi$
$984$	−5.35339			−0.170660
$985$	−0.747959	+	36.8849i	−0.0238320	+	1.17525i
$986$	−0.160351			−0.00510661
$987$	−4.44390	+	2.14007i	−0.141451	+	0.0681192i
$988$	−18.7514	−	9.03019i	−0.596561	−	0.287289i
$989$	−19.4620	+	24.4046i	−0.618856	+	0.776021i
$990$	−25.2036	−	31.6044i	−0.801024	−	1.00445i
$991$	−27.0916			−0.860592			−0.430296	−	0.902688i	$-0.641591\pi$
$991$	−27.0916			−0.860592			−0.430296	+	0.902688i	$0.641591\pi$
$992$	−38.4362	−	18.5099i	−1.22035	−	0.587690i
$993$	1.80823	−	7.92236i	0.0573823	−	0.251408i
$994$	−7.46601	−	9.36209i	−0.236808	−	0.296947i
$995$	−47.3704	−	22.8124i	−1.50174	−	0.723201i
$996$	0.546214	−	0.263043i	0.0173075	−	0.00833483i
$997$	−2.51133	+	1.20940i	−0.0795348	+	0.0383019i	−0.473228	−	0.880940i	$-0.656911\pi$
$997$	−2.51133	+	1.20940i	−0.0795348	+	0.0383019i	0.393693	+	0.919242i	$0.371197\pi$
$998$	−8.69478	−	38.0943i	−0.275228	−	1.20585i
$999$	23.1615			0.732797

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	197.2.d.a.36.4	✓	90
197.104	even	7	inner	197.2.d.a.104.4	yes	90

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
197.2.d.a.36.4	✓	90	1.1	even	1	trivial
197.2.d.a.104.4	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 $\F_{q}$

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

\(f(q)\)	\(=\)	\(q+(-1.70417 + 0.820685i) q^{2} +(0.577242 + 0.277985i) q^{3} +(0.983693 - 1.23351i) q^{4} +(-1.63883 - 2.05503i) q^{5} -1.21186 q^{6} +(1.92605 + 0.927536i) q^{7} +(0.177735 - 0.778708i) q^{8} +(-1.61454 - 2.02456i) q^{9} +(4.47938 + 2.15715i) q^{10} +(2.82890 - 1.36233i) q^{11} +(0.910728 - 0.438583i) q^{12} +(-0.607877 - 2.66328i) q^{13} -4.04353 q^{14} +(-0.374735 - 1.64182i) q^{15} +(1.03834 + 4.54925i) q^{16} +(-0.306846 - 0.384772i) q^{17} +(4.41298 + 2.12518i) q^{18} +4.82890 q^{19} -4.14701 q^{20} +(0.853956 + 1.07083i) q^{21} +(-3.70288 + 4.64327i) q^{22} +(2.69428 - 1.29750i) q^{23} +(0.319066 - 0.400096i) q^{24} +(-0.424771 + 1.86104i) q^{25} +(3.22164 + 4.03981i) q^{26} +(-0.796881 - 3.49136i) q^{27} +(3.03877 - 1.46339i) q^{28} +(-0.155199 + 0.0747397i) q^{29} +(1.98603 + 2.49040i) q^{30} +(5.31720 - 2.56063i) q^{31} +(-4.50699 - 5.65159i) q^{32} +2.01167 q^{33} +(0.838694 + 0.403894i) q^{34} +(-1.25035 - 5.47816i) q^{35} -4.08553 q^{36} +(-1.43918 + 6.30545i) q^{37} +(-8.22927 + 3.96301i) q^{38} +(0.389461 - 1.70634i) q^{39} +(-1.89154 + 0.910920i) q^{40} +(-6.52241 - 8.17884i) q^{41} +(-2.33410 - 1.12404i) q^{42} +(-9.40450 + 4.52897i) q^{43} +(1.10232 - 4.82959i) q^{44} +(-1.51459 + 6.63584i) q^{45} +(-3.52667 + 4.42231i) q^{46} +(-0.801345 + 3.51092i) q^{47} +(-0.665252 + 2.91466i) q^{48} +(-1.51509 - 1.89986i) q^{49} +(-0.803449 - 3.52014i) q^{50} +(-0.0701632 - 0.307405i) q^{51} +(-3.88316 - 1.87003i) q^{52} +(2.84783 - 3.57106i) q^{53} +(4.22333 + 5.29589i) q^{54} +(-7.43570 - 3.58085i) q^{55} +(1.06461 - 1.33497i) q^{56} +(2.78745 + 1.34236i) q^{57} +(0.203147 - 0.254738i) q^{58} +(-8.32039 + 4.00689i) q^{59} +(-2.39383 - 1.15281i) q^{60} +(7.98695 - 3.84631i) q^{61} +(-6.95994 + 8.72749i) q^{62} +(-1.23182 - 5.39695i) q^{63} +(3.91060 + 1.88324i) q^{64} +(-4.47691 + 5.61387i) q^{65} +(-3.42822 + 1.65094i) q^{66} +(-1.56769 + 6.86851i) q^{67} -0.776463 q^{68} +1.91594 q^{69} +(6.62666 + 8.30957i) q^{70} +(1.84641 + 2.31532i) q^{71} +(-1.86351 + 0.897417i) q^{72} +(-0.988801 + 4.33222i) q^{73} +(-2.72219 - 11.9267i) q^{74} +(-0.762539 + 0.956194i) q^{75} +(4.75016 - 5.95651i) q^{76} +6.71220 q^{77} +(0.736660 + 3.22752i) q^{78} +(9.58963 - 12.0250i) q^{79} +(7.64717 - 9.58925i) q^{80} +(-1.21811 + 5.33689i) q^{81} +(17.8275 + 8.58529i) q^{82} +0.599756 q^{83} +2.16091 q^{84} +(-0.287850 + 1.26115i) q^{85} +(12.3100 - 15.4363i) q^{86} -0.110364 q^{87} +(-0.558060 - 2.44502i) q^{88} +(12.1708 + 5.86113i) q^{89} +(-2.86482 - 12.5516i) q^{90} +(1.29949 - 5.69344i) q^{91} +(1.04987 - 4.59976i) q^{92} +3.78113 q^{93} +(-1.51573 - 6.64086i) q^{94} +(-7.91375 - 9.92353i) q^{95} +(-1.03057 - 4.51522i) q^{96} +(4.36170 + 5.46940i) q^{97} +(4.14115 + 1.99427i) q^{98} +(-7.32548 - 3.52776i) 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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