LMFDB - Embedded newform 165.2.w.a.7.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [165,2,Mod(7,165)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(165, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 5, 14]))

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

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

chi := DirichletCharacter("165.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 165 = 3 \cdot 5 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	165.w (of order $20$, degree $8$, 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:	$1.31753163335$
Analytic rank:	$0$
Dimension:	$96$
Relative dimension:	$12$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			7.7
Character	$\chi$	$=$	165.7
Dual form			165.2.w.a.118.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.139396 - 0.0220781i) q^{2} +(-0.453990 - 0.891007i) q^{3} +(-1.88317 + 0.611879i) q^{4} +(-1.95846 - 1.07909i) q^{5} +(-0.0829560 - 0.114179i) q^{6} +(-1.56314 - 0.796462i) q^{7} +(-0.500497 + 0.255016i) q^{8} +(-0.587785 + 0.809017i) q^{9} +O(q^{10})$	\(q+(0.139396 - 0.0220781i) q^{2} +(-0.453990 - 0.891007i) q^{3} +(-1.88317 + 0.611879i) q^{4} +(-1.95846 - 1.07909i) q^{5} +(-0.0829560 - 0.114179i) q^{6} +(-1.56314 - 0.796462i) q^{7} +(-0.500497 + 0.255016i) q^{8} +(-0.587785 + 0.809017i) q^{9} +(-0.296825 - 0.107182i) q^{10} +(-3.02175 - 1.36712i) q^{11} +(1.40013 + 1.40013i) q^{12} +(-0.0128972 - 0.0814300i) q^{13} +(-0.235480 - 0.0765120i) q^{14} +(-0.0723580 + 2.23490i) q^{15} +(3.13970 - 2.28113i) q^{16} +(0.810965 - 5.12023i) q^{17} +(-0.0640731 + 0.125751i) q^{18} +(-1.95466 + 6.01583i) q^{19} +(4.34838 + 0.833777i) q^{20} +1.75436i q^{21} +(-0.451402 - 0.123857i) q^{22} +(2.53743 - 2.53743i) q^{23} +(0.454442 + 0.330171i) q^{24} +(2.67111 + 4.22672i) q^{25} +(-0.00359564 - 0.0110662i) q^{26} +(0.987688 + 0.156434i) q^{27} +(3.43100 + 0.543418i) q^{28} +(-1.32845 - 4.08856i) q^{29} +(0.0392559 + 0.313132i) q^{30} +(-3.66177 - 2.66043i) q^{31} +(1.18169 - 1.18169i) q^{32} +(0.153729 + 3.31306i) q^{33} -0.731642i q^{34} +(2.20190 + 3.24662i) q^{35} +(0.611879 - 1.88317i) q^{36} +(0.382600 - 0.750895i) q^{37} +(-0.139653 + 0.881735i) q^{38} +(-0.0666994 + 0.0484600i) q^{39} +(1.25539 + 0.0406451i) q^{40} +(-6.03392 - 1.96054i) q^{41} +(0.0387329 + 0.244550i) q^{42} +(4.63224 + 4.63224i) q^{43} +(6.52698 + 0.725582i) q^{44} +(2.02416 - 0.950150i) q^{45} +(0.297685 - 0.409728i) q^{46} +(1.67026 - 0.851039i) q^{47} +(-3.45789 - 1.76189i) q^{48} +(-2.30543 - 3.17315i) q^{49} +(0.465659 + 0.530213i) q^{50} +(-4.93033 + 1.60196i) q^{51} +(0.0741130 + 0.145455i) q^{52} +(1.85551 - 0.293884i) q^{53} +0.141133 q^{54} +(4.44271 + 5.93821i) q^{55} +0.985460 q^{56} +(6.24754 - 0.989514i) q^{57} +(-0.275448 - 0.540598i) q^{58} +(-12.6314 + 4.10420i) q^{59} +(-1.23122 - 4.25296i) q^{60} +(5.84264 + 8.04170i) q^{61} +(-0.569172 - 0.290008i) q^{62} +(1.56314 - 0.796462i) q^{63} +(-4.42362 + 6.08859i) q^{64} +(-0.0626119 + 0.173395i) q^{65} +(0.0945751 + 0.458432i) q^{66} +(-10.5846 - 10.5846i) q^{67} +(1.60578 + 10.1385i) q^{68} +(-3.41284 - 1.10890i) q^{69} +(0.378613 + 0.403950i) q^{70} +(2.16428 - 1.57244i) q^{71} +(0.0878726 - 0.554806i) q^{72} +(5.55881 - 10.9098i) q^{73} +(0.0367544 - 0.113118i) q^{74} +(2.55337 - 4.29887i) q^{75} -12.5248i q^{76} +(3.63457 + 4.54372i) q^{77} +(-0.00822770 + 0.00822770i) q^{78} +(-4.82087 - 3.50257i) q^{79} +(-8.61052 + 1.07946i) q^{80} +(-0.309017 - 0.951057i) q^{81} +(-0.884387 - 0.140073i) q^{82} +(-9.95931 - 1.57740i) q^{83} +(-1.07345 - 3.30375i) q^{84} +(-7.11345 + 9.15265i) q^{85} +(0.747985 + 0.543443i) q^{86} +(-3.03983 + 3.03983i) q^{87} +(1.86102 - 0.0863527i) q^{88} -0.533196i q^{89} +(0.261181 - 0.177136i) q^{90} +(-0.0446956 + 0.137559i) q^{91} +(-3.22581 + 6.33101i) q^{92} +(-0.708054 + 4.47047i) q^{93} +(0.214037 - 0.155507i) q^{94} +(10.3198 - 9.67249i) q^{95} +(-1.58937 - 0.516418i) q^{96} +(-1.16945 - 7.38364i) q^{97} +(-0.391424 - 0.391424i) q^{98} +(2.88217 - 1.64107i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 96 q - 8 q^{5} - 20 q^{7}+O(q^{10}) $ 96 * q - 8 * q^5 - 20 * q^7	$ 96 q - 8 q^{5} - 20 q^{7} + 8 q^{11} - 16 q^{12} - 12 q^{15} + 8 q^{16} - 20 q^{17} - 60 q^{20} - 32 q^{22} + 32 q^{23} - 32 q^{25} - 60 q^{28} - 40 q^{30} + 16 q^{31} - 16 q^{33} + 24 q^{36} + 8 q^{37} + 56 q^{38} - 120 q^{41} + 12 q^{42} - 200 q^{46} + 60 q^{47} + 48 q^{48} + 80 q^{50} + 40 q^{51} + 40 q^{52} + 36 q^{53} + 80 q^{55} - 80 q^{56} + 40 q^{57} + 44 q^{58} + 48 q^{60} + 40 q^{61} + 80 q^{62} + 20 q^{63} + 56 q^{66} - 48 q^{67} + 80 q^{68} - 92 q^{70} + 32 q^{71} - 60 q^{73} - 24 q^{77} - 96 q^{78} - 80 q^{80} + 24 q^{81} + 32 q^{82} - 200 q^{83} - 80 q^{85} - 80 q^{86} - 144 q^{88} + 56 q^{91} + 20 q^{92} - 72 q^{93} + 60 q^{95} + 32 q^{97}+O(q^{100}) $ 96 * q - 8 * q^5 - 20 * q^7 + 8 * q^11 - 16 * q^12 - 12 * q^15 + 8 * q^16 - 20 * q^17 - 60 * q^20 - 32 * q^22 + 32 * q^23 - 32 * q^25 - 60 * q^28 - 40 * q^30 + 16 * q^31 - 16 * q^33 + 24 * q^36 + 8 * q^37 + 56 * q^38 - 120 * q^41 + 12 * q^42 - 200 * q^46 + 60 * q^47 + 48 * q^48 + 80 * q^50 + 40 * q^51 + 40 * q^52 + 36 * q^53 + 80 * q^55 - 80 * q^56 + 40 * q^57 + 44 * q^58 + 48 * q^60 + 40 * q^61 + 80 * q^62 + 20 * q^63 + 56 * q^66 - 48 * q^67 + 80 * q^68 - 92 * q^70 + 32 * q^71 - 60 * q^73 - 24 * q^77 - 96 * q^78 - 80 * q^80 + 24 * q^81 + 32 * q^82 - 200 * q^83 - 80 * q^85 - 80 * q^86 - 144 * q^88 + 56 * q^91 + 20 * q^92 - 72 * q^93 + 60 * q^95 + 32 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/165\mathbb{Z}\right)^\times$.

$n$	$46$	$56$	$67$
$\chi(n)$	$e\left(\frac{7}{10}\right)$	$1$	$e\left(\frac{1}{4}\right)$

Coefficient data

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

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

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

$2$	0.139396	−	0.0220781i	0.0985675	−	0.0156116i	−0.106956	−	0.994264i	$-0.534110\pi$
$2$	0.139396	−	0.0220781i	0.0985675	−	0.0156116i	0.205523	+	0.978652i	$0.434110\pi$
$3$	−0.453990	−	0.891007i	−0.262112	−	0.514423i
$3$	−0.453990	−	0.891007i	−0.262112	−	0.514423i
$4$	−1.88317	+	0.611879i	−0.941585	+	0.305939i
$5$	−1.95846	−	1.07909i	−0.875849	−	0.482585i
$5$	−1.95846	−	1.07909i	−0.875849	−	0.482585i
$6$	−0.0829560	−	0.114179i	−0.0338666	−	0.0466134i
$7$	−1.56314	−	0.796462i	−0.590813	−	0.301034i	0.132906	−	0.991129i	$-0.457569\pi$
$7$	−1.56314	−	0.796462i	−0.590813	−	0.301034i	−0.723719	+	0.690094i	$0.757569\pi$
$8$	−0.500497	+	0.255016i	−0.176953	+	0.0901618i
$9$	−0.587785	+	0.809017i	−0.195928	+	0.269672i
$10$	−0.296825	−	0.107182i	−0.0938642	−	0.0338939i
$11$	−3.02175	−	1.36712i	−0.911092	−	0.412204i
$11$	−3.02175	−	1.36712i	−0.911092	−	0.412204i
$12$	1.40013	+	1.40013i	0.404182	+	0.404182i
$13$	−0.0128972	−	0.0814300i	−0.00357705	−	0.0225846i	0.985835	−	0.167717i	$-0.0536393\pi$
$13$	−0.0128972	−	0.0814300i	−0.00357705	−	0.0225846i	−0.989412	+	0.145132i	$0.953639\pi$
$14$	−0.235480	−	0.0765120i	−0.0629346	−	0.0204487i
$15$	−0.0723580	+	2.23490i	−0.0186828	+	0.577048i
$16$	3.13970	−	2.28113i	0.784926	−	0.570282i
$17$	0.810965	−	5.12023i	0.196688	−	1.24184i	−0.669762	−	0.742576i	$-0.733604\pi$
$17$	0.810965	−	5.12023i	0.196688	−	1.24184i	0.866450	−	0.499263i	$-0.166396\pi$
$18$	−0.0640731	+	0.125751i	−0.0151022	+	0.0296397i
$19$	−1.95466	+	6.01583i	−0.448430	+	1.38013i	0.430248	+	0.902711i	$0.358426\pi$
$19$	−1.95466	+	6.01583i	−0.448430	+	1.38013i	−0.878678	+	0.477415i	$0.841574\pi$
$20$	4.34838	+	0.833777i	0.972328	+	0.186438i
$21$			1.75436i			0.382832i
$22$	−0.451402	−	0.123857i	−0.0962392	−	0.0264063i
$23$	2.53743	−	2.53743i	0.529091	−	0.529091i	−0.391211	−	0.920301i	$-0.627944\pi$
$23$	2.53743	−	2.53743i	0.529091	−	0.529091i	0.920301	+	0.391211i	$0.127944\pi$
$24$	0.454442	+	0.330171i	0.0927626	+	0.0673960i
$25$	2.67111	+	4.22672i	0.534223	+	0.845344i
$26$	−0.00359564	−	0.0110662i	−0.000705162	−	0.00217027i
$27$	0.987688	+	0.156434i	0.190081	+	0.0301058i
$28$	3.43100	+	0.543418i	0.648399	+	0.102696i
$29$	−1.32845	−	4.08856i	−0.246688	−	0.759227i	−0.995354	−	0.0962803i	$-0.969305\pi$
$29$	−1.32845	−	4.08856i	−0.246688	−	0.759227i	0.748666	−	0.662947i	$-0.230695\pi$
$30$	0.0392559	+	0.313132i	0.00716711	+	0.0571699i
$31$	−3.66177	−	2.66043i	−0.657674	−	0.477828i	0.208203	−	0.978086i	$-0.433239\pi$
$31$	−3.66177	−	2.66043i	−0.657674	−	0.477828i	−0.865877	+	0.500258i	$0.833239\pi$
$32$	1.18169	−	1.18169i	0.208896	−	0.208896i
$33$	0.153729	+	3.31306i	0.0267607	+	0.576730i
$34$		−	0.731642i		−	0.125476i
$35$	2.20190	+	3.24662i	0.372188	+	0.548778i
$36$	0.611879	−	1.88317i	0.101980	−	0.313862i
$37$	0.382600	−	0.750895i	0.0628990	−	0.123446i	−0.857417	−	0.514623i	$-0.827932\pi$
$37$	0.382600	−	0.750895i	0.0628990	−	0.123446i	0.920316	+	0.391177i	$0.127932\pi$
$38$	−0.139653	+	0.881735i	−0.0226547	+	0.143036i
$39$	−0.0666994	+	0.0484600i	−0.0106805	+	0.00775981i
$40$	1.25539	+	0.0406451i	0.198494	+	0.00642655i
$41$	−6.03392	−	1.96054i	−0.942340	−	0.306185i	−0.202741	−	0.979232i	$-0.564985\pi$
$41$	−6.03392	−	1.96054i	−0.942340	−	0.306185i	−0.739599	+	0.673048i	$0.764985\pi$
$42$	0.0387329	+	0.244550i	0.00597661	+	0.0377348i
$43$	4.63224	+	4.63224i	0.706410	+	0.706410i	0.965778	−	0.259368i	$-0.0835144\pi$
$43$	4.63224	+	4.63224i	0.706410	+	0.706410i	−0.259368	+	0.965778i	$0.583514\pi$
$44$	6.52698	+	0.725582i	0.983979	+	0.109386i
$45$	2.02416	−	0.950150i	0.301744	−	0.141640i
$46$	0.297685	−	0.409728i	0.0438912	−	0.0604111i
$47$	1.67026	−	0.851039i	0.243632	−	0.124137i	−0.327912	−	0.944708i	$-0.606345\pi$
$47$	1.67026	−	0.851039i	0.243632	−	0.124137i	0.571544	+	0.820572i	$0.306345\pi$
$48$	−3.45789	−	1.76189i	−0.499104	−	0.254306i
$49$	−2.30543	−	3.17315i	−0.329347	−	0.453307i
$50$	0.465659	+	0.530213i	0.0658542	+	0.0749834i
$51$	−4.93033	+	1.60196i	−0.690385	+	0.224320i
$52$	0.0741130	+	0.145455i	0.0102776	+	0.0201710i
$53$	1.85551	−	0.293884i	0.254874	−	0.0403681i	−0.0276898	−	0.999617i	$-0.508815\pi$
$53$	1.85551	−	0.293884i	0.254874	−	0.0403681i	0.282564	+	0.959248i	$0.408815\pi$
$54$	0.141133			0.0192058
$55$	4.44271	+	5.93821i	0.599055	+	0.800708i
$56$	0.985460			0.131688
$57$	6.24754	−	0.989514i	0.827507	−	0.131064i
$58$	−0.275448	−	0.540598i	−0.0361681	−	0.0709840i
$59$	−12.6314	+	4.10420i	−1.64447	+	0.534321i	−0.977531	−	0.210790i	$-0.932396\pi$
$59$	−12.6314	+	4.10420i	−1.64447	+	0.534321i	−0.666940	+	0.745111i	$0.732396\pi$
$60$	−1.23122	−	4.25296i	−0.158950	−	0.549055i
$61$	5.84264	+	8.04170i	0.748073	+	1.02963i	0.998113	+	0.0613988i	$0.0195561\pi$
$61$	5.84264	+	8.04170i	0.748073	+	1.02963i	−0.250040	+	0.968235i	$0.580444\pi$
$62$	−0.569172	−	0.290008i	−0.0722849	−	0.0368310i
$63$	1.56314	−	0.796462i	0.196938	−	0.100345i
$64$	−4.42362	+	6.08859i	−0.552953	+	0.761074i
$65$	−0.0626119	+	0.173395i	−0.00776605	+	0.0215069i
$66$	0.0945751	+	0.458432i	0.0116414	+	0.0564290i
$67$	−10.5846	−	10.5846i	−1.29312	−	1.29312i	−0.932847	−	0.360274i	$-0.882683\pi$
$67$	−10.5846	−	10.5846i	−1.29312	−	1.29312i	−0.360274	−	0.932847i	$-0.617317\pi$
$68$	1.60578	+	10.1385i	0.194729	+	1.22947i
$69$	−3.41284	−	1.10890i	−0.410857	−	0.133496i
$70$	0.378613	+	0.403950i	0.0452530	+	0.0482813i
$71$	2.16428	−	1.57244i	0.256853	−	0.186615i	−0.451906	−	0.892066i	$-0.649256\pi$
$71$	2.16428	−	1.57244i	0.256853	−	0.186615i	0.708758	+	0.705451i	$0.249256\pi$
$72$	0.0878726	−	0.554806i	0.0103559	−	0.0653845i
$73$	5.55881	−	10.9098i	0.650609	−	1.27689i	−0.296209	−	0.955123i	$-0.595722\pi$
$73$	5.55881	−	10.9098i	0.650609	−	1.27689i	0.946818	−	0.321769i	$-0.104278\pi$
$74$	0.0367544	−	0.113118i	0.00427261	−	0.0131498i
$75$	2.55337	−	4.29887i	0.294838	−	0.496391i
$76$		−	12.5248i		−	1.43670i
$77$	3.63457	+	4.54372i	0.414197	+	0.517805i
$78$	−0.00822770	+	0.00822770i	−0.000931604	+	0.000931604i
$79$	−4.82087	−	3.50257i	−0.542390	−	0.394069i	0.282582	−	0.959243i	$-0.408809\pi$
$79$	−4.82087	−	3.50257i	−0.542390	−	0.394069i	−0.824972	+	0.565174i	$0.808809\pi$
$80$	−8.61052	+	1.07946i	−0.962686	+	0.120687i
$81$	−0.309017	−	0.951057i	−0.0343352	−	0.105673i
$82$	−0.884387	−	0.140073i	−0.0976642	−	0.0154685i
$83$	−9.95931	−	1.57740i	−1.09318	−	0.173142i	−0.416292	−	0.909231i	$-0.636671\pi$
$83$	−9.95931	−	1.57740i	−1.09318	−	0.173142i	−0.676885	+	0.736089i	$0.736671\pi$
$84$	−1.07345	−	3.30375i	−0.117123	−	0.360469i
$85$	−7.11345	+	9.15265i	−0.771562	+	0.992745i
$86$	0.747985	+	0.543443i	0.0806573	+	0.0586009i
$87$	−3.03983	+	3.03983i	−0.325904	+	0.325904i
$88$	1.86102	−	0.0863527i	0.198385	−	0.00920523i
$89$		−	0.533196i		−	0.0565186i	−0.999601	−	0.0282593i	$-0.991004\pi$
$89$		−	0.533196i		−	0.0565186i	0.999601	−	0.0282593i	$-0.00899642\pi$
$90$	0.261181	−	0.177136i	0.0275309	−	0.0186718i
$91$	−0.0446956	+	0.137559i	−0.00468537	+	0.0144201i
$92$	−3.22581	+	6.33101i	−0.336314	+	0.660053i
$93$	−0.708054	+	4.47047i	−0.0734217	+	0.463567i
$94$	0.214037	−	0.155507i	0.0220762	−	0.0160393i
$95$	10.3198	−	9.67249i	1.05879	−	0.992376i
$96$	−1.58937	−	0.516418i	−0.162215	−	0.0527067i
$97$	−1.16945	−	7.38364i	−0.118740	−	0.749695i	−0.973163	−	0.230117i	$-0.926089\pi$
$97$	−1.16945	−	7.38364i	−0.118740	−	0.749695i	0.854423	−	0.519578i	$-0.173911\pi$
$98$	−0.391424	−	0.391424i	−0.0395397	−	0.0395397i
$99$	2.88217	−	1.64107i	0.289669	−	0.164934i
$100$	−7.61640	−	6.32523i	−0.761640	−	0.632523i
$101$	1.56238	−	2.15044i	0.155463	−	0.213977i	−0.724180	−	0.689611i	$-0.757781\pi$
$101$	1.56238	−	2.15044i	0.155463	−	0.213977i	0.879643	+	0.475634i	$0.157781\pi$
$102$	−0.651898	+	0.332159i	−0.0645475	+	0.0328886i
$103$	−15.9400	−	8.12185i	−1.57062	−	0.800270i	−0.570835	−	0.821065i	$-0.693380\pi$
$103$	−15.9400	−	8.12185i	−1.57062	−	0.800270i	−0.999784	+	0.0207951i	$0.993380\pi$
$104$	0.0272210	+	0.0374665i	0.00266924	+	0.00367389i
$105$	1.89312	−	3.43584i	0.184749	−	0.335303i
$106$	0.252162	−	0.0819323i	0.0244921	−	0.00795796i
$107$	8.49601	+	16.6744i	0.821340	+	1.61197i	0.790513	+	0.612446i	$0.209814\pi$
$107$	8.49601	+	16.6744i	0.821340	+	1.61197i	0.0308272	+	0.999525i	$0.490186\pi$
$108$	−1.95570	+	0.309753i	−0.188188	+	0.0298060i
$109$	19.6257			1.87980			0.939899	−	0.341453i	$-0.110919\pi$
$109$	19.6257			1.87980			0.939899	+	0.341453i	$0.110919\pi$
$110$	0.750399	+	0.729673i	0.0715477	+	0.0695716i
$111$	−0.842749			−0.0799902
$112$	−6.72464	+	1.06508i	−0.635419	+	0.100640i
$113$	−0.0401993	−	0.0788956i	−0.00378164	−	0.00742188i	0.889108	−	0.457698i	$-0.151326\pi$
$113$	−0.0401993	−	0.0788956i	−0.00378164	−	0.00742188i	−0.892890	+	0.450276i	$0.851326\pi$
$114$	0.849033	−	0.275868i	0.0795192	−	0.0258374i
$115$	−7.70757	+	2.23133i	−0.718735	+	0.208072i
$116$	5.00341	+	6.88660i	0.464555	+	0.639405i
$117$	0.0734591	+	0.0374293i	0.00679129	+	0.00346034i
$118$	−1.67015	+	0.850985i	−0.153750	+	0.0783395i
$119$	−5.34573	+	7.35776i	−0.490042	+	0.674485i
$120$	−0.533720	−	1.13701i	−0.0487217	−	0.103795i
$121$	7.26194	+	8.26222i	0.660176	+	0.751111i
$122$	0.991983	+	0.991983i	0.0898099	+	0.0898099i
$123$	0.992489	+	6.26633i	0.0894897	+	0.565016i
$124$	8.52360	+	2.76949i	0.765442	+	0.248707i
$125$	−0.670241	−	11.1602i	−0.0599482	−	0.998201i
$126$	0.200311	−	0.145534i	0.0178451	−	0.0129652i
$127$	−0.357551	+	2.25749i	−0.0317275	+	0.200320i	−0.998460	−	0.0554681i	$-0.982335\pi$
$127$	−0.357551	+	2.25749i	−0.0317275	+	0.200320i	0.966733	+	0.255788i	$0.0823349\pi$
$128$	−1.99959	+	3.92442i	−0.176741	+	0.346873i
$129$	2.02436	−	6.23035i	0.178235	−	0.548552i
$130$	−0.00489960	+	0.0255528i	−0.000429723	+	0.00224113i
$131$			6.79201i			0.593421i	0.954967	+	0.296711i	$0.0958896\pi$
$131$			6.79201i			0.593421i	−0.954967	+	0.296711i	$0.904110\pi$
$132$	−2.31669	−	6.14499i	−0.201642	−	0.534853i
$133$	7.84680	−	7.84680i	0.680404	−	0.680404i
$134$	−1.70914	−	1.24176i	−0.147647	−	0.107272i
$135$	−1.76554	−	1.37218i	−0.151953	−	0.118098i
$136$	0.899856	+	2.76947i	0.0771620	+	0.237480i
$137$	−3.27310	−	0.518408i	−0.279640	−	0.0442906i	0.0150392	−	0.999887i	$-0.495213\pi$
$137$	−3.27310	−	0.518408i	−0.279640	−	0.0442906i	−0.294679	+	0.955596i	$0.595213\pi$
$138$	−0.500216	−	0.0792265i	−0.0425812	−	0.00674421i
$139$	1.76744	+	5.43963i	0.149913	+	0.461383i	0.997610	−	0.0690966i	$-0.0220117\pi$
$139$	1.76744	+	5.43963i	0.149913	+	0.461383i	−0.847697	+	0.530480i	$0.822012\pi$
$140$	−6.13308	−	4.76663i	−0.518340	−	0.402854i
$141$	−1.51656	−	1.10185i	−0.127718	−	0.0927923i
$142$	0.266975	−	0.266975i	0.0224040	−	0.0224040i
$143$	−0.0723527	+	0.263693i	−0.00605044	+	0.0220511i
$144$			3.88089i			0.323407i
$145$	−1.81022	+	9.44081i	−0.150331	+	0.784016i
$146$	0.534006	−	1.64350i	0.0441947	−	0.136017i
$147$	−1.78065	+	3.49473i	−0.146866	+	0.288241i
$148$	−0.261044	+	1.64817i	−0.0214577	+	0.135478i
$149$	11.1642	−	8.11127i	0.914607	−	0.664501i	−0.0275688	−	0.999620i	$-0.508777\pi$
$149$	11.1642	−	8.11127i	0.914607	−	0.664501i	0.942176	+	0.335119i	$0.108777\pi$
$150$	0.261018	−	0.655617i	0.0213120	−	0.0535309i
$151$	7.19997	+	2.33941i	0.585925	+	0.190379i	0.586953	−	0.809621i	$-0.300327\pi$
$151$	7.19997	+	2.33941i	0.585925	+	0.190379i	−0.00102802	+	0.999999i	$0.500327\pi$
$152$	−0.555831	−	3.50938i	−0.0450838	−	0.284648i
$153$	3.66568	+	3.66568i	0.296353	+	0.296353i
$154$	0.606959	+	0.553130i	0.0489102	+	0.0445725i
$155$	4.30057	+	9.16174i	0.345430	+	0.735889i
$156$	0.0959547	−	0.132070i	0.00768252	−	0.0105741i
$157$	14.0332	−	7.15029i	1.11997	−	0.570656i	0.206865	−	0.978370i	$-0.433674\pi$
$157$	14.0332	−	7.15029i	1.11997	−	0.570656i	0.913110	+	0.407714i	$0.133674\pi$
$158$	−0.749337	−	0.381806i	−0.0596141	−	0.0303749i
$159$	−1.10424	−	1.51985i	−0.0875717	−	0.120532i
$160$	−3.58945	+	1.03914i	−0.283771	+	0.0821510i
$161$	−5.98733	+	1.94540i	−0.471868	+	0.153319i
$162$	−0.0640731	−	0.125751i	−0.00503406	−	0.00987989i
$163$	9.15936	−	1.45070i	0.717416	−	0.113628i	0.212955	−	0.977062i	$-0.431691\pi$
$163$	9.15936	−	1.45070i	0.717416	−	0.113628i	0.504461	+	0.863434i	$0.331691\pi$
$164$	12.5625			0.980967
$165$	3.27403	−	6.65438i	0.254883	−	0.518043i
$166$	−1.42311			−0.110455
$167$	21.6014	−	3.42132i	1.67156	−	0.264750i	0.752424	−	0.658679i	$-0.228885\pi$
$167$	21.6014	−	3.42132i	1.67156	−	0.264750i	0.919141	+	0.393929i	$0.128885\pi$
$168$	−0.447389	−	0.878051i	−0.0345168	−	0.0677431i
$169$	12.3573	−	4.01512i	0.950559	−	0.308855i
$170$	−0.789510	+	1.43289i	−0.0605527	+	0.109898i
$171$	−3.71799	−	5.11737i	−0.284322	−	0.391335i
$172$	−11.5577	−	5.88892i	−0.881264	−	0.449026i
$173$	6.57088	−	3.34803i	0.499575	−	0.254546i	−0.185998	−	0.982550i	$-0.559552\pi$
$173$	6.57088	−	3.34803i	0.499575	−	0.254546i	0.685573	+	0.728004i	$0.259552\pi$
$174$	−0.356625	+	0.490853i	−0.0270357	+	0.0372114i
$175$	−0.808918	−	8.73441i	−0.0611484	−	0.660259i
$176$	−12.6060	+	2.60063i	−0.950211	+	0.196030i
$177$	9.39142	+	9.39142i	0.705902	+	0.705902i
$178$	−0.0117719	−	0.0743251i	−0.000882344	−	0.00557090i
$179$	−1.89407	−	0.615420i	−0.141569	−	0.0459986i	0.237375	−	0.971418i	$-0.423713\pi$
$179$	−1.89407	−	0.615420i	−0.141569	−	0.0459986i	−0.378945	+	0.925419i	$0.623713\pi$
$180$	−3.23045	+	3.02783i	−0.240784	+	0.225681i
$181$	−0.376681	+	0.273675i	−0.0279985	+	0.0203421i	−0.601696	−	0.798725i	$-0.705508\pi$
$181$	−0.376681	+	0.273675i	−0.0279985	+	0.0203421i	0.573698	+	0.819067i	$0.305508\pi$
$182$	−0.00319333	+	0.0201619i	−0.000236705	+	0.00149450i
$183$	4.51271	−	8.85668i	0.333589	−	0.654705i
$184$	−0.622891	+	1.91706i	−0.0459202	+	0.141328i
$185$	−1.55959	+	1.05773i	−0.114663	+	0.0777662i
$186$			0.638797i			0.0468388i
$187$	−9.45053	+	14.3634i	−0.691091	+	1.05035i
$188$	−2.62465	+	2.62465i	−0.191422	+	0.191422i
$189$	−1.41931	−	1.03119i	−0.103239	−	0.0750077i
$190$	1.22498	−	1.57614i	0.0888693	−	0.114345i
$191$	3.00900	+	9.26075i	0.217724	+	0.670084i	0.998949	+	0.0458352i	$0.0145949\pi$
$191$	3.00900	+	9.26075i	0.217724	+	0.670084i	−0.781225	+	0.624249i	$0.785405\pi$
$192$	7.43326	+	1.17731i	0.536449	+	0.0849652i
$193$	−19.0435	−	3.01619i	−1.37078	−	0.217110i	−0.572750	−	0.819730i	$-0.694123\pi$
$193$	−19.0435	−	3.01619i	−1.37078	−	0.217110i	−0.798028	+	0.602620i	$0.794123\pi$
$194$	−0.326033	−	1.00343i	−0.0234078	−	0.0720419i
$195$	0.182921	−	0.0229319i	0.0130992	−	0.00164219i
$196$	6.28310	+	4.56494i	0.448793	+	0.326067i
$197$	−18.5991	+	18.5991i	−1.32513	+	1.32513i	−0.415567	+	0.909563i	$0.636417\pi$
$197$	−18.5991	+	18.5991i	−1.32513	+	1.32513i	−0.909563	+	0.415567i	$0.863583\pi$
$198$	0.365529	−	0.292391i	0.0259770	−	0.0207793i
$199$		−	12.4426i		−	0.882036i	−0.897498	−	0.441018i	$-0.854618\pi$
$199$		−	12.4426i		−	0.882036i	0.897498	−	0.441018i	$-0.145382\pi$
$200$	−2.41477	−	1.43428i	−0.170750	−	0.101419i
$201$	−4.62566	+	14.2363i	−0.326269	+	1.00415i
$202$	0.170312	−	0.334256i	0.0119831	−	0.0235182i
$203$	−1.17982	+	7.44908i	−0.0828070	+	0.522823i
$204$	8.30444	−	6.03353i	0.581427	−	0.422432i
$205$	9.70158	+	10.3508i	0.677587	+	0.722931i
$206$	−2.40128	−	0.780225i	−0.167305	−	0.0543608i
$207$	0.561360	+	3.54429i	0.0390172	+	0.246345i
$208$	−0.226246	−	0.226246i	−0.0156873	−	0.0156873i
$209$	14.1309	−	15.5061i	0.977454	−	1.07258i
$210$	0.188035	−	0.520736i	0.0129757	−	0.0359342i
$211$	0.539583	−	0.742672i	0.0371464	−	0.0511277i	−0.790040	−	0.613056i	$-0.789940\pi$
$211$	0.539583	−	0.742672i	0.0371464	−	0.0511277i	0.827186	+	0.561928i	$0.189940\pi$
$212$	−3.31442	+	1.68878i	−0.227635	+	0.115986i
$213$	−2.38362	−	1.21451i	−0.163323	−	0.0832172i
$214$	1.55244	+	2.13675i	0.106123	+	0.146066i
$215$	−4.07343	−	14.0707i	−0.277805	−	0.959612i
$216$	−0.534229	+	0.173581i	−0.0363497	+	0.0118107i
$217$	3.60494	+	7.07510i	0.244720	+	0.480289i
$218$	2.73573	−	0.433297i	0.185287	−	0.0293466i
$219$	−12.2443			−0.827395
$220$	−11.9998	−	8.46424i	−0.809029	−	0.570659i
$221$	−0.427400			−0.0287500
$222$	−0.117475	+	0.0186063i	−0.00788443	+	0.00124877i
$223$	−2.51479	−	4.93556i	−0.168403	−	0.330510i	0.791346	−	0.611369i	$-0.209381\pi$
$223$	−2.51479	−	4.93556i	−0.168403	−	0.330510i	−0.959749	+	0.280859i	$0.909381\pi$
$224$	−2.78833	+	0.905982i	−0.186303	+	0.0605335i
$225$	−4.98953	−	0.323426i	−0.332635	−	0.0215617i
$226$	−0.00734547	−	0.0101102i	−0.000488614	−	0.000672519i
$227$	−18.9995	−	9.68073i	−1.26104	−	0.642533i	−0.309748	−	0.950819i	$-0.600245\pi$
$227$	−18.9995	−	9.68073i	−1.26104	−	0.642533i	−0.951294	+	0.308286i	$0.900245\pi$
$228$	−11.1597	+	5.68616i	−0.739070	+	0.376575i
$229$	−8.22183	+	11.3164i	−0.543314	+	0.747807i	−0.989086	−	0.147339i	$-0.952929\pi$
$229$	−8.22183	+	11.3164i	−0.543314	+	0.747807i	0.445772	+	0.895146i	$0.352929\pi$
$230$	−1.02514	+	0.481205i	−0.0675956	+	0.0317297i
$231$	2.39843	−	5.30123i	0.157805	−	0.348795i
$232$	1.70754	+	1.70754i	0.112105	+	0.112105i
$233$	−2.82059	−	17.8085i	−0.184783	−	1.16667i	−0.889415	−	0.457101i	$-0.848888\pi$
$233$	−2.82059	−	17.8085i	−0.184783	−	1.16667i	0.704632	−	0.709573i	$-0.251112\pi$
$234$	0.0110662	+	0.00359564i	0.000723422	+	0.000235054i
$235$	−4.18948	−	0.135641i	−0.273292	−	0.00884821i
$236$	21.2758	−	15.4578i	1.38494	−	1.00622i
$237$	−0.932181	+	5.88556i	−0.0605516	+	0.382308i
$238$	−0.582725	+	1.14366i	−0.0377724	+	0.0741326i
$239$	0.917667	−	2.82429i	0.0593589	−	0.182688i	−0.916980	−	0.398932i	$-0.869381\pi$
$239$	0.917667	−	2.82429i	0.0593589	−	0.182688i	0.976339	+	0.216244i	$0.0693808\pi$
$240$	4.87090	+	7.18197i	0.314415	+	0.463594i
$241$			13.2707i			0.854839i	0.904053	+	0.427420i	$0.140577\pi$
$241$			13.2707i			0.854839i	−0.904053	+	0.427420i	$0.859423\pi$
$242$	1.19470	+	0.991386i	0.0767980	+	0.0637287i
$243$	−0.707107	+	0.707107i	−0.0453609	+	0.0453609i
$244$	−15.9232	−	11.5689i	−1.01938	−	0.740623i
$245$	1.09096	+	8.70225i	0.0696988	+	0.555967i
$246$	0.276697	+	0.851586i	0.0176416	+	0.0542951i
$247$	0.515079	+	0.0815805i	0.0327737	+	0.00519084i
$248$	2.51116	+	0.397729i	0.159459	+	0.0252558i
$249$	3.11596	+	9.58994i	0.197466	+	0.607738i
$250$	−0.339825	−	1.54089i	−0.0214924	−	0.0974544i
$251$	−19.8671	−	14.4343i	−1.25400	−	0.911084i	−0.255553	−	0.966795i	$-0.582257\pi$
$251$	−19.8671	−	14.4343i	−1.25400	−	0.911084i	−0.998447	+	0.0557110i	$0.982257\pi$
$252$	−2.45633	+	2.45633i	−0.154734	+	0.154734i
$253$	−11.1365	+	4.19850i	−0.700143	+	0.263957i
$254$			0.322578i			0.0202403i
$255$	11.3845	+	2.18291i	0.712926	+	0.136699i
$256$	4.45918	−	13.7239i	0.278699	−	0.857747i
$257$	5.41992	−	10.6372i	0.338085	−	0.663529i	−0.657894	−	0.753110i	$-0.728553\pi$
$257$	5.41992	−	10.6372i	0.338085	−	0.663529i	0.995980	+	0.0895807i	$0.0285527\pi$
$258$	0.144633	−	0.913177i	0.00900446	−	0.0568519i
$259$	−1.19612	+	0.869030i	−0.0743231	+	0.0539989i
$260$	0.0118123	−	0.364842i	0.000732568	−	0.0226266i
$261$	4.08856	+	1.32845i	0.253076	+	0.0822293i
$262$	0.149955	+	0.946776i	0.00926423	+	0.0584920i
$263$	−13.3932	−	13.3932i	−0.825857	−	0.825857i	0.161083	−	0.986941i	$-0.448501\pi$
$263$	−13.3932	−	13.3932i	−0.825857	−	0.825857i	−0.986941	+	0.161083i	$0.948501\pi$
$264$	−0.921825	−	1.61897i	−0.0567344	−	0.0996410i
$265$	−3.95107	−	1.42671i	−0.242712	−	0.0876421i
$266$	0.920566	−	1.26705i	0.0564435	−	0.0776879i
$267$	−0.475081	+	0.242066i	−0.0290745	+	0.0148142i
$268$	26.4092	+	13.4562i	1.61320	+	0.821966i
$269$	−9.53679	−	13.1263i	−0.581468	−	0.800323i	0.412387	−	0.911009i	$-0.364695\pi$
$269$	−9.53679	−	13.1263i	−0.581468	−	0.800323i	−0.993855	+	0.110686i	$0.964695\pi$
$270$	−0.276403	−	0.152296i	−0.0168214	−	0.00926843i
$271$	1.11752	−	0.363104i	0.0678844	−	0.0220570i	−0.274878	−	0.961479i	$-0.588637\pi$
$271$	1.11752	−	0.363104i	0.0678844	−	0.0220570i	0.342762	+	0.939422i	$0.388637\pi$
$272$	−9.13371	−	17.9259i	−0.553813	−	1.08692i
$273$	0.142857	−	0.0226264i	0.00864612	−	0.00136941i
$274$	−0.467701			−0.0282548
$275$	−2.29299	−	16.4238i	−0.138272	−	0.990394i
$276$	7.10546			0.427698
$277$	−17.5173	+	2.77447i	−1.05251	+	0.166702i	−0.658636	−	0.752462i	$-0.728866\pi$
$277$	−17.5173	+	2.77447i	−1.05251	+	0.166702i	−0.393876	+	0.919163i	$0.628866\pi$
$278$	0.366470	+	0.719238i	0.0219794	+	0.0431371i
$279$	4.30467	−	1.39867i	0.257714	−	0.0837363i
$280$	−1.92998	−	1.06340i	−0.115338	−	0.0635505i
$281$	7.32796	+	10.0861i	0.437149	+	0.601684i	0.969576	−	0.244792i	$-0.0787197\pi$
$281$	7.32796	+	10.0861i	0.437149	+	0.601684i	−0.532426	+	0.846476i	$0.678720\pi$
$282$	−0.235729	−	0.120110i	−0.0140374	−	0.00715243i
$283$	1.58752	−	0.808882i	0.0943683	−	0.0480831i	−0.406169	−	0.913798i	$-0.633136\pi$
$283$	1.58752	−	0.808882i	0.0943683	−	0.0480831i	0.500538	+	0.865715i	$0.333136\pi$
$284$	−3.11356	+	4.28545i	−0.184756	+	0.254295i
$285$	−13.3033	−	4.80376i	−0.788021	−	0.284550i
$286$	−0.00426380	+	0.0383551i	−0.000252124	+	0.00226798i
$287$	7.87039	+	7.87039i	0.464575	+	0.464575i
$288$	0.261428	+	1.65059i	0.0154048	+	0.0972619i
$289$	−9.39116	−	3.05137i	−0.552421	−	0.179493i
$290$	−0.0439016	+	1.35597i	−0.00257799	+	0.0796254i
$291$	−6.04795	+	4.39409i	−0.354537	+	0.257586i
$292$	−3.79272	+	23.9463i	−0.221952	+	1.40135i
$293$	−7.68951	+	15.0915i	−0.449226	+	0.881655i	0.549702	+	0.835361i	$0.314741\pi$
$293$	−7.68951	+	15.0915i	−0.449226	+	0.881655i	−0.998928	+	0.0462946i	$0.985259\pi$
$294$	−0.171058	+	0.526463i	−0.00997633	+	0.0307040i
$295$	29.1669	+	5.59259i	1.69816	+	0.325613i
$296$			0.473390i			0.0275152i
$297$	−2.77068	−	1.82300i	−0.160771	−	0.105781i
$298$	1.37716	−	1.37716i	0.0797767	−	0.0797767i
$299$	−0.239349	−	0.173897i	−0.0138419	−	0.0100567i
$300$	−2.17805	+	9.65786i	−0.125750	+	0.557597i
$301$	−3.55146	−	10.9303i	−0.204703	−	0.630010i
$302$	1.05529	+	0.167142i	0.0607253	+	0.00961794i
$303$	−2.62536	−	0.415817i	−0.150823	−	0.0238880i
$304$	7.58582	+	23.3467i	0.435077	+	1.33903i
$305$	−2.76481	−	22.0541i	−0.158313	−	1.26281i
$306$	0.591911	+	0.430048i	0.0338373	+	0.0245842i
$307$	9.42138	−	9.42138i	0.537706	−	0.537706i	−0.385148	−	0.922855i	$-0.625850\pi$
$307$	9.42138	−	9.42138i	0.537706	−	0.537706i	0.922855	+	0.385148i	$0.125850\pi$
$308$	−9.62471	−	6.33268i	−0.548419	−	0.360838i
$309$			17.8899i			1.01772i
$310$	0.801754	+	1.18216i	0.0455366	+	0.0671420i
$311$	−1.21446	+	3.73772i	−0.0688657	+	0.211947i	−0.979567	−	0.201119i	$-0.935542\pi$
$311$	−1.21446	+	3.73772i	−0.0688657	+	0.211947i	0.910701	+	0.413066i	$0.135542\pi$
$312$	0.0210248	−	0.0412635i	0.00119030	−	0.00233609i
$313$	−1.10959	+	7.00567i	−0.0627177	+	0.395984i	0.936281	+	0.351251i	$0.114244\pi$
$313$	−1.10959	+	7.00567i	−0.0627177	+	0.395984i	−0.998999	+	0.0447328i	$0.985756\pi$
$314$	1.79831	−	1.30655i	0.101484	−	0.0737327i
$315$	−3.92081	−	0.126942i	−0.220913	−	0.00715236i
$316$	11.2217	+	3.64614i	0.631268	+	0.205111i
$317$	−2.68203	−	16.9337i	−0.150638	−	0.951091i	−0.940989	−	0.338437i	$-0.890102\pi$
$317$	−2.68203	−	16.9337i	−0.150638	−	0.951091i	0.790351	−	0.612654i	$-0.209898\pi$
$318$	−0.187481	−	0.187481i	−0.0105134	−	0.0105134i
$319$	−1.57532	+	14.1708i	−0.0882009	+	0.793411i
$320$	15.2336	−	7.15075i	0.851586	−	0.399739i
$321$	10.9998	−	15.1400i	0.613952	−	0.845032i
$322$	−0.791657	+	0.403369i	−0.0441173	+	0.0224789i
$323$	29.2173	+	14.8870i	1.62569	+	0.828332i
$324$	1.16386	+	1.60192i	0.0646590	+	0.0889955i
$325$	0.309732	−	0.272022i	0.0171808	−	0.0150891i
$326$	1.24474	−	0.404442i	0.0689400	−	0.0224000i
$327$	−8.90987	−	17.4866i	−0.492717	−	0.967011i
$328$	3.51993	−	0.557502i	0.194356	−	0.0307829i
$329$	−3.28867			−0.181310
$330$	0.309469	−	0.999875i	0.0170357	−	0.0550413i
$331$	−18.9508			−1.04163			−0.520816	−	0.853669i	$-0.674372\pi$
$331$	−18.9508			−1.04163			−0.520816	+	0.853669i	$0.674372\pi$
$332$	19.7203	−	3.12338i	1.08229	−	0.171418i
$333$	0.382600	+	0.750895i	0.0209663	+	0.0411488i
$334$	2.93560	−	0.953834i	0.160629	−	0.0521915i
$335$	9.30776	+	32.1514i	0.508537	+	1.75662i
$336$	4.00191	+	5.50816i	0.218322	+	0.300495i
$337$	17.1850	+	8.75621i	0.936129	+	0.476981i	0.854367	−	0.519671i	$-0.173945\pi$
$337$	17.1850	+	8.75621i	0.936129	+	0.476981i	0.0817619	+	0.996652i	$0.473945\pi$
$338$	1.63390	−	0.832515i	0.0888726	−	0.0452828i
$339$	−0.0520464	+	0.0716357i	−0.00282677	+	0.00389072i
$340$	7.79552	−	21.5886i	0.422771	−	1.17080i
$341$	7.42781	+	13.0453i	0.402239	+	0.706440i
$342$	−0.631253	−	0.631253i	−0.0341342	−	0.0341342i
$343$	2.99752	+	18.9256i	0.161851	+	1.02189i
$344$	−3.49972	−	1.13713i	−0.188692	−	0.0613098i
$345$	5.48729	+	5.85450i	0.295426	+	0.315196i
$346$	0.842033	−	0.611773i	0.0452680	−	0.0328891i
$347$	1.48870	−	9.39928i	0.0799176	−	0.504580i	−0.914964	−	0.403535i	$-0.867781\pi$
$347$	1.48870	−	9.39928i	0.0799176	−	0.504580i	0.994882	−	0.101045i	$-0.0322186\pi$
$348$	3.86451	−	7.58452i	0.207159	−	0.406573i
$349$	7.97276	−	24.5376i	0.426772	−	1.31347i	−0.474515	−	0.880247i	$-0.657377\pi$
$349$	7.97276	−	24.5376i	0.426772	−	1.31347i	0.901287	−	0.433222i	$-0.142623\pi$
$350$	−0.305599	−	1.19968i	−0.0163349	−	0.0641255i
$351$		−	0.0824450i		−	0.00440059i
$352$	−5.18629	+	1.95526i	−0.276430	+	0.104216i
$353$	−21.1837	+	21.1837i	−1.12749	+	1.12749i	−0.136910	+	0.990583i	$0.543717\pi$
$353$	−21.1837	+	21.1837i	−1.12749	+	1.12749i	−0.990583	+	0.136910i	$0.956283\pi$
$354$	1.51647	+	1.10178i	0.0805993	+	0.0585588i
$355$	−5.93547	+	0.744100i	−0.315022	+	0.0394928i
$356$	0.326251	+	1.00410i	0.0172913	+	0.0532171i
$357$	8.98272	+	1.42272i	0.475416	+	0.0752985i
$358$	−0.277612	−	0.0439694i	−0.0146722	−	0.00232385i
$359$	10.1261	+	31.1651i	0.534437	+	1.64483i	0.744862	+	0.667219i	$0.232516\pi$
$359$	10.1261	+	31.1651i	0.534437	+	1.64483i	−0.210424	+	0.977610i	$0.567484\pi$
$360$	−0.770782	+	0.991741i	−0.0406238	+	0.0522693i
$361$	−16.9982	−	12.3499i	−0.894642	−	0.649995i
$362$	−0.0464655	+	0.0464655i	−0.00244217	+	0.00244217i
$363$	4.06484	−	10.2214i	0.213349	−	0.536485i
$364$		−	0.286395i		−	0.0150112i
$365$	−22.6594	+	15.3679i	−1.18605	+	0.804391i
$366$	0.433512	−	1.33421i	0.0226601	−	0.0697405i
$367$	12.7872	−	25.0962i	0.667484	−	1.31001i	−0.270294	−	0.962778i	$-0.587121\pi$
$367$	12.7872	−	25.0962i	0.667484	−	1.31001i	0.937779	−	0.347234i	$-0.112879\pi$
$368$	2.17857	−	13.7550i	0.113566	−	0.717028i
$369$	5.13276	−	3.72917i	0.267201	−	0.194133i
$370$	−0.194047	+	0.181876i	−0.0100880	+	0.00945530i
$371$	−3.13450	−	1.01846i	−0.162735	−	0.0528758i
$372$	−1.40200	−	8.85190i	−0.0726905	−	0.458950i
$373$	−1.66320	−	1.66320i	−0.0861170	−	0.0861170i	0.662736	−	0.748853i	$-0.269395\pi$
$373$	−1.66320	−	1.66320i	−0.0861170	−	0.0861170i	−0.748853	+	0.662736i	$0.769395\pi$
$374$	−1.00025	+	2.21084i	−0.0517215	+	0.114320i
$375$	−9.63956	+	5.66383i	−0.497785	+	0.292479i
$376$	−0.618931	+	0.851885i	−0.0319189	+	0.0439326i
$377$	−0.315798	+	0.160907i	−0.0162644	+	0.00828715i
$378$	−0.220611	−	0.112407i	−0.0113470	−	0.00578160i
$379$	−9.69886	−	13.3493i	−0.498197	−	0.685709i	0.483677	−	0.875247i	$-0.339301\pi$
$379$	−9.69886	−	13.3493i	−0.498197	−	0.685709i	−0.981873	+	0.189538i	$0.939301\pi$
$380$	−13.5155	+	24.5294i	−0.693329	+	1.25833i
$381$	2.17376	−	0.706298i	0.111365	−	0.0361848i
$382$	0.623901	+	1.22447i	0.0319215	+	0.0626495i
$383$	29.8095	−	4.72135i	1.52319	−	0.241250i	0.661990	−	0.749513i	$-0.269712\pi$
$383$	29.8095	−	4.72135i	1.52319	−	0.241250i	0.861202	+	0.508263i	$0.169712\pi$
$384$	4.40448			0.224765
$385$	−2.21505	−	12.8207i	−0.112889	−	0.653405i
$386$	−2.72116			−0.138504
$387$	−6.47032	+	1.02480i	−0.328905	+	0.0520934i
$388$	6.72017	+	13.1891i	0.341165	+	0.669574i
$389$	5.13587	−	1.66875i	0.260399	−	0.0846088i	−0.175908	−	0.984407i	$-0.556286\pi$
$389$	5.13587	−	1.66875i	0.260399	−	0.0846088i	0.436307	+	0.899798i	$0.356286\pi$
$390$	0.0249921	−	0.00723515i	0.00126552	−	0.000366366i
$391$	−10.9345	−	15.0500i	−0.552980	−	0.761111i
$392$	1.96307	+	1.00023i	0.0991498	+	0.0505193i
$393$	6.05173	−	3.08351i	0.305269	−	0.155542i
$394$	−2.18200	+	3.00326i	−0.109927	+	0.151302i
$395$	5.66187	+	12.0618i	0.284880	+	0.606895i
$396$	−4.42347	+	4.85395i	−0.222288	+	0.243920i
$397$	−7.10183	−	7.10183i	−0.356431	−	0.356431i	0.506065	−	0.862495i	$-0.331100\pi$
$397$	−7.10183	−	7.10183i	−0.356431	−	0.356431i	−0.862495	+	0.506065i	$0.831100\pi$
$398$	−0.274710	−	1.73445i	−0.0137700	−	0.0869401i
$399$	−10.5539	−	3.42918i	−0.528357	−	0.171674i
$400$	18.0282	+	7.17748i	0.901409	+	0.358874i
$401$	−6.90630	+	5.01772i	−0.344884	+	0.250573i	−0.746720	−	0.665139i	$-0.768372\pi$
$401$	−6.90630	+	5.01772i	−0.344884	+	0.250573i	0.401835	+	0.915712i	$0.368372\pi$
$402$	−0.330486	+	2.08661i	−0.0164831	+	0.104070i
$403$	−0.169412	+	0.332490i	−0.00843903	+	0.0165625i
$404$	−1.62643	+	5.00563i	−0.0809178	+	0.249039i
$405$	−0.421082	+	2.19606i	−0.0209237	+	0.109123i
$406$			1.06442i			0.0528261i
$407$	−2.18269	+	1.74595i	−0.108192	+	0.0865437i
$408$	2.05909	−	2.05909i	0.101940	−	0.101940i
$409$	−22.1532	−	16.0953i	−1.09541	−	0.795859i	−0.115102	−	0.993354i	$-0.536720\pi$
$409$	−22.1532	−	16.0953i	−1.09541	−	0.795859i	−0.980304	+	0.197495i	$0.936720\pi$
$410$	1.58088	+	1.22866i	0.0780742	+	0.0606793i
$411$	1.02405	+	3.15170i	0.0505127	+	0.155462i
$412$	34.9874	+	5.54146i	1.72370	+	0.273008i
$413$	23.0136	+	3.64499i	1.13242	+	0.179358i
$414$	0.156502	+	0.481664i	0.00769166	+	0.0236725i
$415$	17.8027	+	13.8363i	0.873902	+	0.679197i
$416$	−0.111466	−	0.0809846i	−0.00546506	−	0.00397060i
$417$	4.04434	−	4.04434i	0.198052	−	0.198052i
$418$	1.62744	−	2.47346i	0.0796006	−	0.120981i
$419$			12.6988i			0.620375i	0.950675	+	0.310188i	$0.100392\pi$
$419$			12.6988i			0.620375i	−0.950675	+	0.310188i	$0.899608\pi$
$420$	−1.46274	+	7.62862i	−0.0713745	+	0.372238i
$421$	1.71171	−	5.26810i	0.0834237	−	0.256752i	−0.900641	−	0.434565i	$-0.856902\pi$
$421$	1.71171	−	5.26810i	0.0834237	−	0.256752i	0.984064	+	0.177813i	$0.0569022\pi$
$422$	0.0588187	−	0.115438i	0.00286325	−	0.00561944i
$423$	−0.293248	+	1.85150i	−0.0142582	+	0.0900228i
$424$	−0.853733	+	0.620273i	−0.0414609	+	0.0301231i
$425$	23.8080	−	10.2490i	1.15486	−	0.497150i
$426$	−0.359080	−	0.116672i	−0.0173975	−	0.00565279i
$427$	−2.72798	−	17.2238i	−0.132016	−	0.833517i
$428$	−26.2021	−	26.2021i	−1.26653	−	1.26653i
$429$	0.267800	−	0.0552475i	0.0129295	−	0.00266737i
$430$	−0.878471	−	1.87145i	−0.0423636	−	0.0902496i
$431$	11.0746	−	15.2429i	0.533446	−	0.734225i	−0.454205	−	0.890897i	$-0.650077\pi$
$431$	11.0746	−	15.2429i	0.533446	−	0.734225i	0.987651	+	0.156672i	$0.0500766\pi$
$432$	3.45789	−	1.76189i	0.166368	−	0.0847687i
$433$	−12.0953	−	6.16284i	−0.581261	−	0.296167i	0.138530	−	0.990358i	$-0.455762\pi$
$433$	−12.0953	−	6.16284i	−0.581261	−	0.296167i	−0.719791	+	0.694191i	$0.755762\pi$
$434$	0.658718	+	0.906647i	0.0316195	+	0.0435205i
$435$	9.23364	−	2.67312i	0.442719	−	0.128166i
$436$	−36.9585	+	12.0085i	−1.76999	+	0.575104i
$437$	10.3049	+	20.2246i	0.492952	+	0.967472i
$438$	−1.70680	+	0.270331i	−0.0815543	+	0.0129169i
$439$	−11.6589			−0.556449			−0.278225	−	0.960516i	$-0.589746\pi$
$439$	−11.6589			−0.556449			−0.278225	+	0.960516i	$0.589746\pi$
$440$	−3.73790	−	1.83909i	−0.178198	−	0.0876753i
$441$	3.92223			0.186773
$442$	−0.0595776	+	0.00943617i	−0.00283382	+	0.000448833i
$443$	2.23557	+	4.38755i	0.106215	+	0.208459i	0.937997	−	0.346644i	$-0.112679\pi$
$443$	2.23557	+	4.38755i	0.106215	+	0.208459i	−0.831782	+	0.555103i	$0.812679\pi$
$444$	1.58704	−	0.515660i	0.0753175	−	0.0244721i
$445$	−0.575368	+	1.04424i	−0.0272751	+	0.0495018i
$446$	−0.459519	−	0.632473i	−0.0217588	−	0.0299485i
$447$	−12.2956	−	6.26494i	−0.581564	−	0.296321i
$448$	11.7641	−	5.99410i	0.555801	−	0.283195i
$449$	−20.8849	+	28.7455i	−0.985617	+	1.35659i	−0.0518698	+	0.998654i	$0.516518\pi$
$449$	−20.8849	+	28.7455i	−0.985617	+	1.35659i	−0.933748	+	0.357932i	$0.883482\pi$
$450$	−0.702659	+	0.0650752i	−0.0331236	+	0.00306767i
$451$	15.5527	+	14.1734i	0.732348	+	0.667399i
$452$	0.123977	+	0.123977i	0.00583138	+	0.00583138i
$453$	−1.18429	−	7.47729i	−0.0556426	−	0.351314i
$454$	−2.86218	−	0.929978i	−0.134329	−	0.0436460i
$455$	0.235974	−	0.221173i	0.0110626	−	0.0103687i
$456$	−2.87454	+	2.08847i	−0.134613	+	0.0978017i
$457$	−3.76633	+	23.7797i	−0.176182	+	1.11237i	0.728113	+	0.685457i	$0.240398\pi$
$457$	−3.76633	+	23.7797i	−0.176182	+	1.11237i	−0.904294	+	0.426910i	$0.859602\pi$
$458$	−0.896242	+	1.75897i	−0.0418786	+	0.0821915i
$459$	1.60196	−	4.93033i	0.0747732	−	0.230128i
$460$	13.1494	−	8.91807i	0.613092	−	0.415807i
$461$		−	11.5361i		−	0.537292i	−0.963239	−	0.268646i	$-0.913424\pi$
$461$		−	11.5361i		−	0.537292i	0.963239	−	0.268646i	$-0.0865762\pi$
$462$	0.217289	−	0.791920i	0.0101092	−	0.0368435i
$463$	2.17585	−	2.17585i	0.101120	−	0.101120i	−0.654737	−	0.755857i	$-0.727221\pi$
$463$	2.17585	−	2.17585i	0.101120	−	0.101120i	0.755857	+	0.654737i	$0.227221\pi$
$464$	−13.4975	−	9.80650i	−0.626605	−	0.455255i
$465$	6.21075	−	7.99118i	0.288017	−	0.370582i
$466$	−0.786355	−	2.42015i	−0.0364272	−	0.112111i
$467$	−27.6072	−	4.37255i	−1.27751	−	0.202337i	−0.519436	−	0.854509i	$-0.673858\pi$
$467$	−27.6072	−	4.37255i	−1.27751	−	0.202337i	−0.758071	+	0.652172i	$0.773858\pi$
$468$	−0.161238	−	0.0255376i	−0.00745323	−	0.00118048i
$469$	8.11506	+	24.9756i	0.374719	+	1.15327i
$470$	−0.586989	+	0.0735880i	−0.0270758	+	0.00339436i
$471$	−12.7419	−	9.25754i	−0.587116	−	0.426565i
$472$	5.27536	−	5.27536i	0.242818	−	0.242818i
$473$	−7.66462	−	20.3303i	−0.352420	−	0.934789i
$474$			0.841001i			0.0386285i
$475$	−30.6483	+	7.80717i	−1.40624	+	0.358217i
$476$	5.56485	−	17.1268i	0.255064	−	0.785008i
$477$	−0.852885	+	1.67388i	−0.0390509	+	0.0766417i
$478$	0.0655638	−	0.413953i	0.00299882	−	0.0189338i
$479$	−14.9433	+	10.8569i	−0.682777	+	0.496067i	−0.874278	−	0.485426i	$-0.838665\pi$
$479$	−14.9433	+	10.8569i	−0.682777	+	0.496067i	0.191501	+	0.981492i	$0.438665\pi$
$480$	2.55545	+	2.72646i	0.116640	+	0.124445i
$481$	−0.0660798	−	0.0214706i	−0.00301298	−	0.000978977i
$482$	0.292991	+	1.84987i	0.0133454	+	0.0842594i
$483$	4.45156	+	4.45156i	0.202553	+	0.202553i
$484$	−18.7309	−	11.1157i	−0.851406	−	0.505260i
$485$	−5.67731	+	15.7225i	−0.257793	+	0.713922i
$486$	−0.0829560	+	0.114179i	−0.00376296	+	0.00517927i
$487$	25.6891	−	13.0893i	1.16408	−	0.593131i	0.238303	−	0.971191i	$-0.423409\pi$
$487$	25.6891	−	13.0893i	1.16408	−	0.593131i	0.925781	+	0.378060i	$0.123409\pi$
$488$	−4.97499	−	2.53488i	−0.225207	−	0.114749i
$489$	−5.45084	−	7.50244i	−0.246496	−	0.339272i
$490$	0.344204	+	1.18897i	0.0155495	+	0.0537121i
$491$	1.18491	−	0.385000i	0.0534742	−	0.0173748i	−0.282158	−	0.959368i	$-0.591050\pi$
$491$	1.18491	−	0.385000i	0.0534742	−	0.0173748i	0.335632	+	0.941993i	$0.391050\pi$
$492$	−5.70326	−	11.1933i	−0.257123	−	0.504632i
$493$	−22.0117	+	3.48632i	−0.991358	+	0.157016i
$494$	0.0736008			0.00331146
$495$	−7.41547	+	0.103841i	−0.333301	+	0.00466732i
$496$	−17.5657			−0.788721
$497$	−4.63547	+	0.734187i	−0.207929	+	0.0329328i
$498$	0.646078	+	1.26800i	0.0289515	+	0.0568204i
$499$	23.0407	−	7.48638i	1.03144	−	0.335136i	0.256083	−	0.966655i	$-0.417568\pi$
$499$	23.0407	−	7.48638i	1.03144	−	0.335136i	0.775361	+	0.631519i	$0.217568\pi$
$500$	8.09089	+	20.6065i	0.361835	+	0.921551i
$501$	−12.8552	−	17.6937i	−0.574330	−	0.790497i
$502$	−3.08807	−	1.57345i	−0.137827	−	0.0702264i
$503$	14.4287	−	7.35177i	0.643342	−	0.327799i	−0.101702	−	0.994815i	$-0.532429\pi$
$503$	14.4287	−	7.35177i	0.643342	−	0.327799i	0.745044	+	0.667016i	$0.232429\pi$
$504$	−0.579239	+	0.797254i	−0.0258014	+	0.0355125i
$505$	−5.38039	+	2.52558i	−0.239424	+	0.112387i
$506$	−1.45968	+	0.831123i	−0.0648906	+	0.0369479i
$507$	−9.18758	−	9.18758i	−0.408035	−	0.408035i
$508$	−0.707981	−	4.47001i	−0.0314116	−	0.198325i
$509$	−20.7052	−	6.72752i	−0.917740	−	0.298192i	−0.188201	−	0.982131i	$-0.560266\pi$
$509$	−20.7052	−	6.72752i	−0.917740	−	0.298192i	−0.729540	+	0.683939i	$0.760266\pi$
$510$	1.63514	+	0.0529402i	0.0724054	+	0.00234423i
$511$	−17.3784	+	12.6262i	−0.768777	+	0.558549i
$512$	1.69662	−	10.7120i	0.0749806	−	0.473409i
$513$	−2.87168	+	5.63599i	−0.126788	+	0.248835i
$514$	0.520664	−	1.60244i	0.0229655	−	0.0706805i
$515$	22.4536	+	33.1071i	0.989426	+	1.45887i
$516$			12.9715i			0.571037i
$517$	−6.21058	+	0.288176i	−0.273141	+	0.0126740i
$518$	−0.147547	+	0.147547i	−0.00648284	+	0.00648284i
$519$	−5.96623	−	4.33472i	−0.261888	−	0.190273i
$520$	−0.0128813	−	0.102751i	−0.000564884	−	0.00450591i
$521$	−3.22251	−	9.91787i	−0.141181	−	0.434510i	0.855319	−	0.518101i	$-0.173361\pi$
$521$	−3.22251	−	9.91787i	−0.141181	−	0.434510i	−0.996500	+	0.0835913i	$0.973361\pi$
$522$	0.599257	+	0.0949130i	0.0262288	+	0.00415423i
$523$	−3.78926	−	0.600160i	−0.165693	−	0.0262432i	0.0730368	−	0.997329i	$-0.476731\pi$
$523$	−3.78926	−	0.600160i	−0.165693	−	0.0262432i	−0.238730	+	0.971086i	$0.576731\pi$
$524$	−4.15589	−	12.7905i	−0.181551	−	0.558756i
$525$	−7.41518	+	4.68609i	−0.323625	+	0.204518i
$526$	−2.16264	−	1.57125i	−0.0942956	−	0.0685098i
$527$	−16.5916	+	16.5916i	−0.722742	+	0.722742i
$528$	8.04017	+	10.0513i	0.349904	+	0.437429i
$529$			10.1229i			0.440126i
$530$	−0.582260	−	0.111645i	−0.0252918	−	0.00484955i
$531$	4.10420	−	12.6314i	0.178107	−	0.548157i
$532$	−9.97556	+	19.5781i	−0.432495	+	0.848820i
$533$	−0.0818258	+	0.516628i	−0.00354427	+	0.0223776i
$534$	−0.0608798	+	0.0442318i	−0.00263453	+	0.00191410i
$535$	1.35411	−	41.8240i	0.0585434	−	1.80821i
$536$	7.99684	+	2.59833i	0.345411	+	0.112231i
$537$	0.311545	+	1.96702i	0.0134442	+	0.0848832i
$538$	−1.61919	−	1.61919i	−0.0698082	−	0.0698082i
$539$	2.62834	+	12.7403i	0.113210	+	0.548762i
$540$	4.16442	+	1.50375i	0.179208	+	0.0647110i
$541$	16.0001	−	22.0222i	0.687897	−	0.946809i	−0.312098	−	0.950050i	$-0.601032\pi$
$541$	16.0001	−	22.0222i	0.687897	−	0.946809i	0.999995	+	0.00324111i	$0.00103168\pi$
$542$	0.147760	−	0.0752877i	0.00634685	−	0.00323388i
$543$	0.414856	+	0.211380i	0.0178032	+	0.00907117i
$544$	−5.09222	−	7.00885i	−0.218327	−	0.300502i
$545$	−38.4360	−	21.1779i	−1.64642	−	0.907163i
$546$	0.0194141	−	0.00630803i	0.000830848	−	0.000269959i
$547$	−2.46567	−	4.83916i	−0.105425	−	0.206907i	0.832268	−	0.554374i	$-0.187042\pi$
$547$	−2.46567	−	4.83916i	−0.105425	−	0.206907i	−0.937692	+	0.347466i	$0.887042\pi$
$548$	6.48100	−	1.02649i	0.276855	−	0.0438495i
$549$	−9.94009			−0.424233
$550$	−0.682239	−	2.23878i	−0.0290908	−	0.0954621i
$551$	27.1928			1.15845
$552$	1.99090	−	0.315328i	0.0847384	−	0.0134212i
$553$	4.74605	+	9.31465i	0.201823	+	0.396099i
$554$	−2.38058	+	0.773497i	−0.101141	+	0.0328627i
$555$	1.65049	+	0.909405i	0.0700593	+	0.0386021i
$556$	−6.65679	−	9.16228i	−0.282311	−	0.388567i
$557$	8.80013	+	4.48389i	0.372874	+	0.189989i	0.630378	−	0.776289i	$-0.282900\pi$
$557$	8.80013	+	4.48389i	0.372874	+	0.189989i	−0.257504	+	0.966277i	$0.582900\pi$
$558$	0.569172	−	0.290008i	0.0240950	−	0.0122770i
$559$	0.317460	−	0.436947i	0.0134271	−	0.0184809i
$560$	14.3192	+	5.17060i	0.605098	+	0.218498i
$561$	17.0883	+	1.89965i	0.721469	+	0.0802033i
$562$	1.24417	+	1.24417i	0.0524820	+	0.0524820i
$563$	4.46370	+	28.1827i	0.188123	+	1.18776i	0.883260	+	0.468883i	$0.155343\pi$
$563$	4.46370	+	28.1827i	0.188123	+	1.18776i	−0.695138	+	0.718877i	$0.744657\pi$
$564$	3.53014	+	1.14701i	0.148646	+	0.0482979i
$565$	−0.00640706	+	0.197893i	−0.000269547	+	0.00832541i
$566$	0.203435	−	0.147804i	0.00855100	−	0.00621266i
$567$	−0.274442	+	1.73276i	−0.0115255	+	0.0727690i
$568$	−0.682219	+	1.33893i	−0.0286253	+	0.0561803i
$569$	8.69336	−	26.7554i	0.364445	−	1.12165i	−0.585883	−	0.810396i	$-0.699252\pi$
$569$	8.69336	−	26.7554i	0.364445	−	1.12165i	0.950328	−	0.311250i	$-0.100748\pi$
$570$	−1.96048	−	0.375911i	−0.0821156	−	0.0157452i
$571$			34.5758i			1.44695i	0.690350	+	0.723475i	$0.257456\pi$
$571$			34.5758i			1.44695i	−0.690350	+	0.723475i	$0.742544\pi$
$572$	−0.0250959	−	0.540850i	−0.00104931	−	0.0226141i
$573$	6.88533	−	6.88533i	0.287639	−	0.287639i
$574$	1.27086	+	0.923335i	0.0530447	+	0.0385392i
$575$	17.5028	+	3.94724i	0.729916	+	0.164611i
$576$	−2.32564	−	7.15757i	−0.0969015	−	0.298232i
$577$	32.2718	+	5.11136i	1.34349	+	0.212789i	0.786429	−	0.617680i	$-0.211927\pi$
$577$	32.2718	+	5.11136i	1.34349	+	0.212789i	0.557065	+	0.830469i	$0.311927\pi$
$578$	−1.37645	−	0.218009i	−0.0572530	−	0.00906798i
$579$	5.95811	+	18.3372i	0.247610	+	0.762067i
$580$	−2.36768	−	18.8863i	−0.0983126	−	0.784210i
$581$	14.3115	+	10.3979i	0.593741	+	0.431378i
$582$	−0.746044	+	0.746044i	−0.0309245	+	0.0309245i
$583$	−6.00867	−	1.64867i	−0.248854	−	0.0682810i
$584$			6.87790i			0.284610i
$585$	−0.103477	−	0.152573i	−0.00427824	−	0.00630811i
$586$	−0.738692	+	2.27346i	−0.0305151	+	0.0939157i
$587$	−0.221785	+	0.435277i	−0.00915403	+	0.0179658i	−0.895538	−	0.444985i	$-0.853209\pi$
$587$	−0.221785	+	0.435277i	−0.00915403	+	0.0179658i	0.886384	+	0.462950i	$0.153209\pi$
$588$	1.21492	−	7.67072i	0.0501025	−	0.316335i
$589$	23.1622	−	16.8284i	0.954384	−	0.693400i
$590$	4.18921	+	0.135632i	0.172467	+	0.00558388i
$591$	25.0157	+	8.12810i	1.02901	+	0.334345i
$592$	−0.511636	−	3.23034i	−0.0210281	−	0.132766i
$593$	3.80956	+	3.80956i	0.156440	+	0.156440i	0.780987	−	0.624547i	$-0.214716\pi$
$593$	3.80956	+	3.80956i	0.156440	+	0.156440i	−0.624547	+	0.780987i	$0.714716\pi$
$594$	−0.426469	−	0.192947i	−0.0174982	−	0.00791669i
$595$	18.4091	−	8.64132i	0.754699	−	0.354260i
$596$	−16.0610	+	22.1060i	−0.657883	+	0.905498i
$597$	−11.0865	+	5.64884i	−0.453739	+	0.231192i
$598$	−0.0372035	−	0.0189561i	−0.00152136	−	0.000775173i
$599$	16.5657	+	22.8007i	0.676855	+	0.931611i	0.999891	−	0.0147757i	$-0.00470342\pi$
$599$	16.5657	+	22.8007i	0.676855	+	0.931611i	−0.323036	+	0.946387i	$0.604703\pi$
$600$	−0.181675	+	2.80272i	−0.00741685	+	0.114421i
$601$	22.2993	−	7.24549i	0.909608	−	0.295550i	0.183411	−	0.983036i	$-0.441286\pi$
$601$	22.2993	−	7.24549i	0.909608	−	0.295550i	0.726197	+	0.687487i	$0.241286\pi$
$602$	−0.736377	−	1.44522i	−0.0300125	−	0.0589028i
$603$	14.7847	−	2.34166i	0.602078	−	0.0953598i
$604$	−14.9902			−0.609943
$605$	−5.30650	−	24.0175i	−0.215740	−	0.976451i
$606$	−0.375144			−0.0152392
$607$	30.5304	−	4.83555i	1.23919	−	0.196269i	0.497771	−	0.867309i	$-0.334152\pi$
$607$	30.5304	−	4.83555i	1.23919	−	0.196269i	0.741421	+	0.671040i	$0.234152\pi$
$608$	4.79905	+	9.41866i	0.194627	+	0.381977i
$609$	7.17280	−	2.33058i	0.290657	−	0.0944401i
$610$	−0.872314	−	3.01320i	−0.0353190	−	0.122001i
$611$	−0.0908418	−	0.125033i	−0.00367507	−	0.00505830i
$612$	−9.14605	−	4.66015i	−0.369707	−	0.188375i
$613$	−33.8676	+	17.2564i	−1.36790	+	0.696980i	−0.974918	−	0.222565i	$-0.928557\pi$
$613$	−33.8676	+	17.2564i	−1.36790	+	0.696980i	−0.392983	+	0.919546i	$0.628557\pi$
$614$	1.10529	−	1.52130i	0.0446060	−	0.0613948i
$615$	4.81821	−	13.3433i	0.194289	−	0.538055i
$616$	−2.97781	−	1.34725i	−0.119980	−	0.0542821i
$617$	−13.6647	−	13.6647i	−0.550120	−	0.550120i	0.376355	−	0.926475i	$-0.377177\pi$
$617$	−13.6647	−	13.6647i	−0.550120	−	0.550120i	−0.926475	+	0.376355i	$0.877177\pi$
$618$	0.394975	+	2.49377i	0.0158882	+	0.100314i
$619$	1.15199	+	0.374304i	0.0463023	+	0.0150445i	0.332077	−	0.943252i	$-0.392251\pi$
$619$	1.15199	+	0.374304i	0.0463023	+	0.0150445i	−0.285774	+	0.958297i	$0.592251\pi$
$620$	−13.7046	−	14.6217i	−0.550389	−	0.587221i
$621$	2.90313	−	2.10925i	0.116499	−	0.0846412i
$622$	−0.0867685	+	0.547835i	−0.00347910	+	0.0219662i
$623$	−0.424670	+	0.833462i	−0.0170140	+	0.0333919i
$624$	−0.0988730	+	0.304300i	−0.00395809	+	0.0121817i
$625$	−10.7303	+	22.5801i	−0.429212	+	0.903204i
$626$			1.00106i			0.0400103i
$627$	−20.2313	−	5.55111i	−0.807960	−	0.221690i
$628$	−22.0519	+	22.0519i	−0.879965	+	0.879965i
$629$	−3.53448	−	2.56795i	−0.140929	−	0.102391i
$630$	−0.549346	+	0.0688688i	−0.0218865	+	0.00274380i
$631$	−1.92892	−	5.93661i	−0.0767892	−	0.236333i	0.905292	−	0.424789i	$-0.139652\pi$
$631$	−1.92892	−	5.93661i	−0.0767892	−	0.236333i	−0.982082	+	0.188456i	$0.939652\pi$
$632$	3.30604	+	0.523626i	0.131507	+	0.0208287i
$633$	−0.906691	−	0.143606i	−0.0360377	−	0.00570782i
$634$	−0.747727	−	2.30127i	−0.0296960	−	0.0913950i
$635$	3.13629	−	4.03537i	0.124460	−	0.160139i
$636$	3.00943	+	2.18648i	0.119332	+	0.0866995i
$637$	−0.228656	+	0.228656i	−0.00905968	+	0.00905968i
$638$	0.0932714	+	2.01012i	0.00369265	+	0.0795815i
$639$			2.67520i			0.105829i
$640$	8.15094	−	5.52807i	0.322194	−	0.218516i
$641$	−3.18792	+	9.81140i	−0.125915	+	0.387527i	−0.994067	−	0.108772i	$-0.965308\pi$
$641$	−3.18792	+	9.81140i	−0.125915	+	0.387527i	0.868152	+	0.496299i	$0.165308\pi$
$642$	1.19907	−	2.35330i	0.0473234	−	0.0928775i
$643$	−3.05208	+	19.2701i	−0.120362	+	0.759938i	0.851494	+	0.524364i	$0.175697\pi$
$643$	−3.05208	+	19.2701i	−0.120362	+	0.759938i	−0.971856	+	0.235574i	$0.924303\pi$
$644$	10.0848	−	7.32705i	0.397397	−	0.288726i
$645$	−10.6878	+	10.0174i	−0.420830	+	0.394435i
$646$	4.40144	+	1.43011i	0.173172	+	0.0562670i
$647$	−6.02649	−	38.0497i	−0.236926	−	1.49589i	−0.763526	−	0.645777i	$-0.776534\pi$
$647$	−6.02649	−	38.0497i	−0.236926	−	1.49589i	0.526601	−	0.850113i	$-0.323466\pi$
$648$	0.397197	+	0.397197i	0.0156034	+	0.0156034i
$649$	43.7800	+	4.86687i	1.71851	+	0.191041i
$650$	0.0371695	−	0.0447569i	0.00145791	−	0.00175551i
$651$	4.66735	−	6.42406i	0.182928	−	0.251779i
$652$	−16.3610	+	8.33633i	−0.640745	+	0.326476i
$653$	32.6301	+	16.6258i	1.27691	+	0.650620i	0.955128	−	0.296193i	$-0.0957172\pi$
$653$	32.6301	+	16.6258i	1.27691	+	0.650620i	0.321785	+	0.946813i	$0.395717\pi$
$654$	−1.62807	−	2.24084i	−0.0636624	−	0.0876238i
$655$	7.32922	−	13.3019i	0.286376	−	0.519747i
$656$	−23.4170	+	7.60863i	−0.914279	+	0.297067i
$657$	5.55881	+	10.9098i	0.216870	+	0.425631i
$658$	−0.458426	+	0.0726076i	−0.0178713	+	0.00283054i
$659$	33.7360			1.31417			0.657084	−	0.753817i	$-0.271790\pi$
$659$	33.7360			1.31417			0.657084	+	0.753817i	$0.271790\pi$
$660$	−2.09388	+	14.5346i	−0.0815042	+	0.565760i
$661$	28.3193			1.10149			0.550747	−	0.834672i	$-0.314343\pi$
$661$	28.3193			1.10149			0.550747	+	0.834672i	$0.314343\pi$
$662$	−2.64166	+	0.418398i	−0.102671	+	0.0162615i
$663$	0.194035	+	0.380816i	0.00753571	+	0.0147897i
$664$	5.38687	−	1.75030i	0.209051	−	0.0679248i
$665$	−23.8350	+	6.90019i	−0.924284	+	0.267578i
$666$	0.0699110	+	0.0962243i	0.00270900	+	0.00372862i
$667$	−13.7453	−	7.00358i	−0.532220	−	0.271180i
$668$	−38.5856	+	19.6604i	−1.49292	+	0.760682i
$669$	−3.25592	+	4.48140i	−0.125881	+	0.173261i
$670$	2.00730	+	4.27627i	0.0775488	+	0.165207i
$671$	−6.66098	−	32.2876i	−0.257144	−	1.24645i
$672$	2.07311	+	2.07311i	0.0799719	+	0.0799719i
$673$	−3.73384	−	23.5745i	−0.143929	−	0.908731i	−0.948937	−	0.315467i	$-0.897839\pi$
$673$	−3.73384	−	23.5745i	−0.143929	−	0.908731i	0.805008	−	0.593264i	$-0.202161\pi$
$674$	2.58884	+	0.841164i	0.0997183	+	0.0324004i
$675$	1.97702	+	4.59253i	0.0760957	+	0.176767i
$676$	−20.8141	+	15.1223i	−0.800541	+	0.581627i
$677$	1.61964	−	10.2260i	0.0622478	−	0.393017i	−0.936819	−	0.349816i	$-0.886244\pi$
$677$	1.61964	−	10.2260i	0.0622478	−	0.393017i	0.999066	−	0.0432014i	$-0.0137557\pi$
$678$	−0.00567346	+	0.0111348i	−0.000217888	+	0.000427629i
$679$	−4.05276	+	12.4731i	−0.155531	+	0.478674i
$680$	1.22619	−	6.39492i	0.0470222	−	0.245234i
$681$			21.3236i			0.817124i
$682$	1.32342	+	1.65446i	0.0506763	+	0.0633525i
$683$	24.9772	−	24.9772i	0.955726	−	0.955726i	−0.0433346	−	0.999061i	$-0.513798\pi$
$683$	24.9772	−	24.9772i	0.955726	−	0.955726i	0.999061	+	0.0433346i	$0.0137981\pi$
$684$	10.1328	+	7.36192i	0.387438	+	0.281490i
$685$	5.85081	+	4.54726i	0.223548	+	0.173742i
$686$	0.835681	+	2.57196i	0.0319065	+	0.0981980i
$687$	13.8156	+	2.18817i	0.527098	+	0.0834841i
$688$	25.1106	+	3.97713i	0.957332	+	0.151627i
$689$	−0.0478620	−	0.147304i	−0.00182340	−	0.00561183i
$690$	0.894160	+	0.694942i	0.0340401	+	0.0264560i
$691$	−22.6515	−	16.4573i	−0.861704	−	0.626065i	0.0666440	−	0.997777i	$-0.478771\pi$
$691$	−22.6515	−	16.4573i	−0.861704	−	0.626065i	−0.928348	+	0.371712i	$0.878771\pi$
$692$	−10.3255	+	10.3255i	−0.392516	+	0.392516i
$693$	−5.81229	+	0.269695i	−0.220791	+	0.0102449i
$694$		−	1.34309i		−	0.0509828i
$695$	2.40841	−	12.5605i	0.0913561	−	0.476448i
$696$	0.746221	−	2.29663i	0.0282854	−	0.0870537i
$697$	−14.9317	+	29.3052i	−0.565579	+	1.11001i
$698$	0.569623	−	3.59646i	0.0215606	−	0.136128i
$699$	−14.5870	+	10.5981i	−0.551730	+	0.400855i
$700$	6.86773	+	15.9534i	0.259576	+	0.602982i
$701$	4.23093	+	1.37471i	0.159800	+	0.0519222i	0.387825	−	0.921733i	$-0.373227\pi$
$701$	4.23093	+	1.37471i	0.159800	+	0.0519222i	−0.228024	+	0.973655i	$0.573227\pi$
$702$	−0.00182023	−	0.0114925i	−6.87001e−5	−	0.000433755i
$703$	3.76940	+	3.76940i	0.142166	+	0.142166i
$704$	21.6909	−	12.3506i	0.817508	−	0.465479i
$705$	1.78113	+	3.79443i	0.0670811	+	0.142907i
$706$	−2.48522	+	3.42061i	−0.0935323	+	0.128736i
$707$	−4.15497	+	2.11707i	−0.156264	+	0.0796204i
$708$	−23.4320	−	11.9392i	−0.880630	−	0.448703i
$709$	−22.3106	−	30.7078i	−0.837891	−	1.15326i	−0.986403	−	0.164347i	$-0.947448\pi$
$709$	−22.3106	−	30.7078i	−0.837891	−	1.15326i	0.148512	−	0.988911i	$-0.452552\pi$
$710$	−0.810949	+	0.234768i	−0.0304344	+	0.00881069i
$711$	5.66727	−	1.84141i	0.212539	−	0.0690582i
$712$	0.135973	+	0.266863i	0.00509582	+	0.0100011i
$713$	−16.0422	+	2.54083i	−0.600783	+	0.0951547i
$714$	1.28356			0.0480361
$715$	0.426249	−	0.438357i	0.0159408	−	0.0163936i
$716$	3.94341			0.147372
$717$	−2.93307	+	0.464553i	−0.109538	+	0.0173490i
$718$	2.09960	+	4.12071i	0.0783565	+	0.153783i
$719$	−8.59859	+	2.79385i	−0.320673	+	0.104193i	−0.464931	−	0.885347i	$-0.653921\pi$
$719$	−8.59859	+	2.79385i	−0.320673	+	0.104193i	0.144257	+	0.989540i	$0.453921\pi$
$720$	4.18784	−	7.60055i	0.156072	−	0.283256i
$721$	18.4478	+	25.3913i	0.687033	+	0.945620i
$722$	−2.64213	−	1.34623i	−0.0983301	−	0.0501017i
$723$	11.8243	−	6.02476i	0.439749	−	0.224063i
$724$	0.541899	−	0.745860i	0.0201395	−	0.0277197i
$725$	13.7328	−	16.5360i	0.510022	−	0.614133i
$726$	0.340951	−	1.51456i	0.0126539	−	0.0562107i
$727$	19.1084	+	19.1084i	0.708692	+	0.708692i	0.966260	−	0.257568i	$-0.0829212\pi$
$727$	19.1084	+	19.1084i	0.708692	+	0.708692i	−0.257568	+	0.966260i	$0.582921\pi$
$728$	−0.0127097	−	0.0802460i	−0.000471054	−	0.00297412i
$729$	0.951057	+	0.309017i	0.0352243	+	0.0114451i
$730$	−2.81932	+	2.64249i	−0.104348	+	0.0978028i
$731$	27.4747	−	19.9616i	1.01619	−	0.738305i
$732$	−3.07897	+	19.4399i	−0.113802	+	0.718518i
$733$	7.85285	−	15.4121i	0.290052	−	0.569259i	−0.699296	−	0.714833i	$-0.746503\pi$
$733$	7.85285	−	15.4121i	0.290052	−	0.569259i	0.989347	+	0.145574i	$0.0465029\pi$
$734$	1.22840	−	3.78062i	0.0453409	−	0.139545i
$735$	7.25848	−	4.92279i	0.267733	−	0.181580i
$736$		−	5.99692i		−	0.221049i
$737$	17.5136	+	46.4547i	0.645123	+	1.71118i
$738$	0.633151	−	0.633151i	0.0233066	−	0.0233066i
$739$	21.7571	+	15.8075i	0.800349	+	0.581488i	0.911017	−	0.412370i	$-0.135299\pi$
$739$	21.7571	+	15.8075i	0.800349	+	0.581488i	−0.110667	+	0.993857i	$0.535299\pi$
$740$	2.28977	−	2.94617i	0.0841736	−	0.108304i
$741$	−0.161152	−	0.495975i	−0.00592007	−	0.0182201i
$742$	−0.459421	−	0.0727651i	−0.0168659	−	0.00267129i
$743$	−9.46960	−	1.49984i	−0.347406	−	0.0550237i	−0.0197067	−	0.999806i	$-0.506273\pi$
$743$	−9.46960	−	1.49984i	−0.347406	−	0.0550237i	−0.327699	+	0.944782i	$0.606273\pi$
$744$	−0.785664	−	2.41803i	−0.0288038	−	0.0886491i
$745$	−30.6174	+	3.83836i	−1.12174	+	0.140627i
$746$	−0.268562	−	0.195122i	−0.00983276	−	0.00714392i
$747$	7.13008	−	7.13008i	0.260876	−	0.260876i
$748$	9.00831	−	32.8312i	0.329376	−	1.20043i
$749$		−	32.8312i		−	1.19962i
$750$	−1.21866	+	1.00234i	−0.0444993	+	0.0366001i
$751$	−9.56032	+	29.4236i	−0.348861	+	1.07368i	0.610623	+	0.791921i	$0.290919\pi$
$751$	−9.56032	+	29.4236i	−0.348861	+	1.07368i	−0.959484	+	0.281762i	$0.909081\pi$
$752$	3.30278	−	6.48208i	0.120440	−	0.236377i
$753$	−3.84157	+	24.2547i	−0.139995	+	0.883892i
$754$	−0.0404684	+	0.0294020i	−0.00147377	+	0.00107076i
$755$	−11.5764	−	12.3511i	−0.421308	−	0.449502i
$756$	3.30375	+	1.07345i	0.120156	+	0.0390412i
$757$	6.27179	+	39.5985i	0.227952	+	1.43923i	0.790497	+	0.612466i	$0.209822\pi$
$757$	6.27179	+	39.5985i	0.227952	+	1.43923i	−0.562545	+	0.826767i	$0.690178\pi$
$758$	−1.64671	−	1.64671i	−0.0598110	−	0.0598110i
$759$	8.79673	+	8.01658i	0.319301	+	0.290983i
$760$	−2.69838	+	7.47276i	−0.0978804	+	0.271066i
$761$	2.49413	−	3.43287i	0.0904120	−	0.124441i	−0.761415	−	0.648265i	$-0.775495\pi$
$761$	2.49413	−	3.43287i	0.0904120	−	0.124441i	0.851827	+	0.523824i	$0.175495\pi$
$762$	0.287419	−	0.146447i	0.0104121	−	0.00530523i
$763$	−30.6777	−	15.6311i	−1.11061	−	0.565883i
$764$	−11.3329	−	15.5984i	−0.410010	−	0.564331i
$765$	−3.22347	−	11.1347i	−0.116545	−	0.402576i
$766$	4.05107	−	1.31627i	0.146371	−	0.0475588i
$767$	0.497116	+	0.975644i	0.0179498	+	0.0352285i
$768$	−14.2526	+	2.25738i	−0.514295	+	0.0814563i
$769$	35.9299			1.29567			0.647833	−	0.761782i	$-0.275675\pi$
$769$	35.9299			1.29567			0.647833	+	0.761782i	$0.275675\pi$
$770$	−0.591825	−	1.73825i	−0.0213279	−	0.0626421i
$771$	−11.9384			−0.429951
$772$	37.7076	−	5.97230i	1.35713	−	0.214948i
$773$	−14.5923	−	28.6391i	−0.524849	−	1.03008i	−0.989493	−	0.144577i	$-0.953818\pi$
$773$	−14.5923	−	28.6391i	−0.524849	−	1.03008i	0.464644	−	0.885498i	$-0.346182\pi$
$774$	−0.879309	+	0.285705i	−0.0316061	+	0.0102694i
$775$	1.46389	−	22.5836i	0.0525844	−	0.811227i
$776$	2.46826	+	3.39726i	0.0886052	+	0.121955i
$777$	1.31734	+	0.671217i	0.0472592	+	0.0240798i
$778$	0.679075	−	0.346006i	0.0243460	−	0.0124049i
$779$	23.5886	−	32.4669i	0.845148	−	1.16325i
$780$	−0.330439	+	0.155110i	−0.0118316	+	0.00555383i
$781$	−8.68964	+	1.79269i	−0.310940	+	0.0641473i
$782$	−1.85649	−	1.85649i	−0.0663880	−	0.0663880i
$783$	−0.672507	−	4.24604i	−0.0240334	−	0.151741i
$784$	−14.4767	−	4.70377i	−0.517026	−	0.167992i
$785$	−35.1993	−	1.13963i	−1.25632	−	0.0406751i
$786$	0.775506	−	0.563438i	0.0276614	−	0.0200972i
$787$	−1.46618	+	9.25710i	−0.0522637	+	0.329980i	0.947679	+	0.319226i	$0.103423\pi$
$787$	−1.46618	+	9.25710i	−0.0522637	+	0.329980i	−0.999942	+	0.0107535i	$0.996577\pi$
$788$	23.6448	−	46.4056i	0.842312	−	1.65313i
$789$	−5.85302	+	18.0138i	−0.208373	+	0.641307i
$790$	1.05554	+	1.55636i	0.0375545	+	0.0553727i
$791$			0.155342i			0.00552334i
$792$	−1.02402	+	1.55635i	−0.0363869	+	0.0553025i
$793$	0.579482	−	0.579482i	0.0205780	−	0.0205780i
$794$	−1.14676	−	0.833169i	−0.0406969	−	0.0295680i
$795$	0.522539	+	4.16814i	0.0185326	+	0.147829i
$796$	7.61339	+	23.4316i	0.269849	+	0.830511i
$797$	−38.4937	−	6.09681i	−1.36352	−	0.215960i	−0.568568	−	0.822636i	$-0.692503\pi$
$797$	−38.4937	−	6.09681i	−1.36352	−	0.215960i	−0.794949	+	0.606676i	$0.792503\pi$
$798$	−1.54688	−	0.245002i	−0.0547589	−	0.00867296i
$799$	−3.00300	−	9.24227i	−0.106238	−	0.326968i
$800$	8.15111	+	1.83824i	0.288185	+	0.0649917i
$801$	0.431364	+	0.313405i	0.0152415	+	0.0110736i
$802$	−0.851926	+	0.851926i	−0.0300826	+	0.0300826i
$803$	−31.7124	+	25.3670i	−1.11910	+	0.895183i
$804$		−	29.6397i		−	1.04531i
$805$	13.8252	+	2.65090i	0.487275	+	0.0934321i
$806$	−0.0162746	+	0.0500880i	−0.000573247	+	0.00176427i
$807$	−7.36598	+	14.4565i	−0.259295	+	0.508894i
$808$	−0.233573	+	1.47472i	−0.00821707	+	0.0518805i
$809$	4.25327	−	3.09018i	0.149537	−	0.108645i	−0.510501	−	0.859877i	$-0.670540\pi$
$809$	4.25327	−	3.09018i	0.149537	−	0.108645i	0.660038	+	0.751232i	$0.270540\pi$
$810$	−0.0102121	+	0.315418i	−0.000358817	+	0.0110827i
$811$	−32.7700	−	10.6476i	−1.15071	−	0.373888i	−0.329299	−	0.944226i	$-0.606813\pi$
$811$	−32.7700	−	10.6476i	−1.15071	−	0.373888i	−0.821411	+	0.570337i	$0.806813\pi$
$812$	−2.33614	−	14.7498i	−0.0819823	−	0.517616i
$813$	−0.830870	−	0.830870i	−0.0291399	−	0.0291399i
$814$	−0.265710	+	0.291568i	−0.00931312	+	0.0102194i
$815$	−19.5037	−	7.04267i	−0.683183	−	0.246694i
$816$	−11.8255	+	16.2764i	−0.413975	+	0.569788i
$817$	−36.9212	+	18.8123i	−1.29171	+	0.658159i
$818$	−3.44341	−	1.75451i	−0.120396	−	0.0613449i
$819$	−0.0850161	−	0.117015i	−0.00297070	−	0.00408882i
$820$	−24.6031	−	13.5561i	−0.859179	−	0.473400i
$821$	−20.7977	+	6.75758i	−0.725844	+	0.235841i	−0.648555	−	0.761168i	$-0.724626\pi$
$821$	−20.7977	+	6.75758i	−0.725844	+	0.235841i	−0.0772891	+	0.997009i	$0.524626\pi$
$822$	0.212332	+	0.416724i	0.00740592	+	0.0145349i
$823$	21.9856	−	3.48218i	0.766370	−	0.121381i	0.239003	−	0.971019i	$-0.423179\pi$
$823$	21.9856	−	3.48218i	0.766370	−	0.121381i	0.527367	+	0.849638i	$0.323179\pi$
$824$	10.0491			0.350079
$825$	−13.5927	+	9.49933i	−0.473239	+	0.330724i
$826$	3.28846			0.114420
$827$	6.14656	−	0.973520i	0.213737	−	0.0338526i	−0.0486476	−	0.998816i	$-0.515491\pi$
$827$	6.14656	−	0.973520i	0.213737	−	0.0338526i	0.262384	+	0.964963i	$0.415491\pi$
$828$	−3.22581	−	6.33101i	−0.112105	−	0.220018i
$829$	−46.5528	+	15.1259i	−1.61685	+	0.525345i	−0.971195	−	0.238287i	$-0.923414\pi$
$829$	−46.5528	+	15.1259i	−1.61685	+	0.525345i	−0.645651	+	0.763632i	$0.723414\pi$
$830$	2.78710	+	1.53567i	0.0967417	+	0.0533038i
$831$	10.4248	+	14.3484i	0.361631	+	0.497742i
$832$	0.552847	+	0.281689i	0.0191665	+	0.00976582i
$833$	−18.1169	+	9.23102i	−0.627713	+	0.319836i
$834$	0.474472	−	0.653055i	0.0164296	−	0.0226134i
$835$	−45.9973	−	16.6094i	−1.59180	−	0.574792i
$836$	−17.1230	+	37.8469i	−0.592212	+	1.30896i
$837$	−3.20051	−	3.20051i	−0.110626	−	0.110626i
$838$	0.280364	+	1.77015i	0.00968502	+	0.0611488i
$839$	−7.03923	−	2.28719i	−0.243021	−	0.0789624i	0.184974	−	0.982743i	$-0.440780\pi$
$839$	−7.03923	−	2.28719i	−0.243021	−	0.0789624i	−0.427995	+	0.903781i	$0.640780\pi$
$840$	−0.0713060	+	2.20240i	−0.00246029	+	0.0759901i
$841$	8.50993	−	6.18283i	0.293446	−	0.213201i
$842$	0.122295	−	0.772141i	0.00421457	−	0.0266098i
$843$	5.65993	−	11.1082i	0.194938	−	0.382588i
$844$	−0.561701	+	1.72874i	−0.0193345	+	0.0595056i
$845$	−28.5339	−	5.47121i	−0.981595	−	0.188215i
$846$			0.264564i			0.00909591i
$847$	−4.77092	−	18.6989i	−0.163931	−	0.642502i
$848$	5.15537	−	5.15537i	0.177036	−	0.177036i
$849$	−1.44144	−	1.04727i	−0.0494700	−	0.0359421i
$850$	3.09245	−	1.95430i	0.106070	−	0.0670319i
$851$	−0.934522	−	2.87616i	−0.0320350	−	0.0985936i
$852$	5.23190	+	0.828651i	0.179242	+	0.0283891i
$853$	−8.25105	−	1.30684i	−0.282511	−	0.0447453i	0.0135711	−	0.999908i	$-0.495680\pi$
$853$	−8.25105	−	1.30684i	−0.282511	−	0.0447453i	−0.296082	+	0.955163i	$0.595680\pi$
$854$	−0.760536	−	2.34069i	−0.0260250	−	0.0800967i
$855$	1.75940	+	14.0342i	0.0601702	+	0.479960i
$856$	−8.50446	−	6.17885i	−0.290676	−	0.211189i
$857$	8.69260	−	8.69260i	0.296934	−	0.296934i	−0.542878	−	0.839812i	$-0.682665\pi$
$857$	8.69260	−	8.69260i	0.296934	−	0.296934i	0.839812	+	0.542878i	$0.182665\pi$
$858$	0.0361103	−	0.0136138i	0.00123279	−	0.000464766i
$859$		−	11.3854i		−	0.388466i	−0.980955	−	0.194233i	$-0.937778\pi$
$859$		−	11.3854i		−	0.388466i	0.980955	−	0.194233i	$-0.0622217\pi$
$860$	16.2805	+	24.0050i	0.555160	+	0.818564i
$861$	3.43949	−	10.5857i	0.117217	−	0.360758i
$862$	1.20722	−	2.36930i	0.0411180	−	0.0806987i
$863$	8.26314	−	52.1714i	0.281281	−	1.77594i	−0.291842	−	0.956467i	$-0.594268\pi$
$863$	8.26314	−	52.1714i	0.281281	−	1.77594i	0.573123	−	0.819470i	$-0.305732\pi$
$864$	1.35200	−	0.982286i	0.0459960	−	0.0334180i
$865$	−16.4816	−	0.533617i	−0.560392	−	0.0181435i
$866$	−1.82209	−	0.592033i	−0.0619171	−	0.0201181i
$867$	1.54470	+	9.75288i	0.0524609	+	0.331225i
$868$	−11.1178	−	11.1178i	−0.377364	−	0.377364i
$869$	9.77901	+	17.1746i	0.331730	+	0.582609i
$870$	1.22811	−	0.576482i	0.0416369	−	0.0195446i
$871$	−0.725395	+	0.998421i	−0.0245791	+	0.0338302i
$872$	−9.82259	+	5.00486i	−0.332635	+	0.169486i
$873$	6.66088	+	3.39389i	0.225437	+	0.114866i
$874$	1.88298	+	2.59170i	0.0636928	+	0.0876656i
$875$	−7.84101	+	17.9789i	−0.265075	+	0.607797i
$876$	23.0581	−	7.49204i	0.779062	−	0.253133i
$877$	−8.58986	−	16.8586i	−0.290059	−	0.569273i	0.699290	−	0.714839i	$-0.253500\pi$
$877$	−8.58986	−	16.8586i	−0.290059	−	0.569273i	−0.989349	+	0.145566i	$0.953500\pi$
$878$	−1.62520	+	0.257406i	−0.0548478	+	0.00868704i
$879$	16.9376			0.571291
$880$	27.4946	+	8.50980i	0.926843	+	0.286865i
$881$	−31.0994			−1.04776			−0.523882	−	0.851791i	$-0.675517\pi$
$881$	−31.0994			−1.04776			−0.523882	+	0.851791i	$0.675517\pi$
$882$	0.546741	−	0.0865953i	0.0184097	−	0.00291582i
$883$	9.14453	+	17.9472i	0.307738	+	0.603970i	0.992140	−	0.125135i	$-0.0399365\pi$
$883$	9.14453	+	17.9472i	0.307738	+	0.603970i	−0.684402	+	0.729105i	$0.739937\pi$
$884$	0.804866	−	0.261517i	0.0270706	−	0.00879576i
$885$	−8.25848	−	28.5269i	−0.277606	−	0.958922i
$886$	0.408497	+	0.562248i	0.0137237	+	0.0188891i
$887$	19.8712	+	10.1249i	0.667210	+	0.339961i	0.754573	−	0.656216i	$-0.227844\pi$
$887$	19.8712	+	10.1249i	0.667210	+	0.339961i	−0.0873629	+	0.996177i	$0.527844\pi$
$888$	0.421794	−	0.214915i	0.0141545	−	0.00721206i
$889$	2.35691	−	3.24401i	0.0790482	−	0.108800i
$890$	−0.0571489	+	0.158266i	−0.00191563	+	0.00530507i
$891$	−0.366441	+	3.29632i	−0.0122762	+	0.110431i
$892$	7.75575	+	7.75575i	0.259682	+	0.259682i
$893$	1.85492	+	11.7115i	0.0620724	+	0.391910i
$894$	−1.85227	−	0.601840i	−0.0619493	−	0.0201286i
$895$	3.04536	+	3.24915i	0.101795	+	0.108607i
$896$	6.25131	−	4.54184i	0.208841	−	0.151732i
$897$	−0.0462813	+	0.292209i	−0.00154529	+	0.00975657i
$898$	−2.27661	+	4.46810i	−0.0759714	+	0.149102i
$899$	−6.01285	+	18.5057i	−0.200540	+	0.617198i
$900$	9.59402	−	2.44392i	0.319801	−	0.0814641i
$901$		−	9.73898i		−	0.324452i
$902$	2.48090	+	1.63233i	0.0826049	+	0.0543507i
$903$	−8.12661	+	8.12661i	−0.270437	+	0.270437i
$904$	0.0402393	+	0.0292356i	0.00133834	+	0.000972361i
$905$	1.03304	−	0.129507i	0.0343393	−	0.00430495i
$906$	−0.330169	−	1.01615i	−0.0109691	−	0.0337595i
$907$	14.9992	+	2.37564i	0.498040	+	0.0788818i	0.400401	−	0.916340i	$-0.368871\pi$
$907$	14.9992	+	2.37564i	0.498040	+	0.0788818i	0.0976392	+	0.995222i	$0.468871\pi$
$908$	41.7027	+	6.60506i	1.38395	+	0.219197i
$909$	0.821394	+	2.52799i	0.0272439	+	0.0838482i
$910$	0.0280106	−	0.0360403i	0.000928542	−	0.00119473i
$911$	22.6811	+	16.4788i	0.751460	+	0.545967i	0.896279	−	0.443491i	$-0.146260\pi$
$911$	22.6811	+	16.4788i	0.751460	+	0.545967i	−0.144819	+	0.989458i	$0.546260\pi$
$912$	17.3582	−	17.3582i	0.574788	−	0.574788i
$913$	27.9380	+	18.3821i	0.924614	+	0.608360i
$914$			3.39794i			0.112394i
$915$	−18.3951	+	12.4758i	−0.608124	+	0.412438i
$916$	8.55884	−	26.3414i	0.282792	−	0.870345i
$917$	5.40958	−	10.6169i	0.178640	−	0.350601i
$918$	0.114454	−	0.722634i	0.00377755	−	0.0238505i
$919$	17.6019	−	12.7885i	0.580632	−	0.421854i	−0.258320	−	0.966059i	$-0.583169\pi$
$919$	17.6019	−	12.7885i	0.580632	−	0.421854i	0.838952	+	0.544206i	$0.183169\pi$
$920$	3.28860	−	3.08233i	0.108422	−	0.101621i
$921$	−12.6717	−	4.11729i	−0.417548	−	0.135669i
$922$	−0.254696	−	1.60809i	−0.00838797	−	0.0529595i
$923$	−0.155957	−	0.155957i	−0.00513340	−	0.00513340i
$924$	−1.27293	+	11.4507i	−0.0418764	+	0.376699i
$925$	4.19579	−	0.388584i	0.137957	−	0.0127765i
$926$	0.255265	−	0.351342i	0.00838852	−	0.0115458i
$927$	15.9400	−	8.12185i	0.523539	−	0.266757i
$928$	−6.40124	−	3.26160i	−0.210131	−	0.107067i
$929$	8.33603	+	11.4736i	0.273496	+	0.376435i	0.923566	−	0.383439i	$-0.125260\pi$
$929$	8.33603	+	11.4736i	0.273496	+	0.376435i	−0.650070	+	0.759874i	$0.725260\pi$
$930$	0.689321	−	1.25106i	0.0226037	−	0.0410237i
$931$	23.5955	−	7.66663i	0.773310	−	0.251264i
$932$	16.2083	+	31.8106i	0.530920	+	1.04199i
$933$	3.88169	−	0.614799i	0.127081	−	0.0201276i
$934$	−3.94485			−0.129080
$935$	34.0079	−	17.9321i	1.11218	−	0.586441i
$936$	−0.0463111			−0.00151373
$937$	−18.3982	+	2.91400i	−0.601044	+	0.0951961i	−0.449540	−	0.893260i	$-0.648412\pi$
$937$	−18.3982	+	2.91400i	−0.601044	+	0.0951961i	−0.151505	+	0.988457i	$0.548412\pi$
$938$	1.68262	+	3.30232i	0.0549394	+	0.107825i
$939$	6.74584	−	2.19186i	0.220142	−	0.0715285i
$940$	7.97250	−	2.30802i	0.260034	−	0.0752793i
$941$	26.5188	+	36.5000i	0.864488	+	1.18987i	0.980481	+	0.196616i	$0.0629952\pi$
$941$	26.5188	+	36.5000i	0.864488	+	1.18987i	−0.115992	+	0.993250i	$0.537005\pi$
$942$	−1.98055	−	1.00914i	−0.0645300	−	0.0328797i
$943$	−20.2854	+	10.3359i	−0.660583	+	0.336584i
$944$	−30.2967	+	41.6999i	−0.986074	+	1.35721i
$945$	1.66690	+	3.55110i	0.0542244	+	0.115517i
$946$	−1.51727	−	2.66474i	−0.0493307	−	0.0866380i
$947$	−18.1325	−	18.1325i	−0.589227	−	0.589227i	0.348195	−	0.937422i	$-0.386795\pi$
$947$	−18.1325	−	18.1325i	−0.589227	−	0.589227i	−0.937422	+	0.348195i	$0.886795\pi$
$948$	−1.84579	−	11.6539i	−0.0599486	−	0.378500i
$949$	−0.960076	−	0.311948i	−0.0311654	−	0.0101263i
$950$	−4.09988	+	1.76494i	−0.133018	+	0.0572623i
$951$	−13.8704	+	10.0774i	−0.449779	+	0.326783i
$952$	0.799174	−	5.04579i	0.0259014	−	0.163535i
$953$	−21.9659	+	43.1105i	−0.711546	+	1.39649i	0.197715	+	0.980260i	$0.436648\pi$
$953$	−21.9659	+	43.1105i	−0.711546	+	1.39649i	−0.909261	+	0.416227i	$0.863352\pi$
$954$	−0.0819323	+	0.252162i	−0.00265265	+	0.00816403i
$955$	4.10021	−	21.3838i	0.132680	−	0.691963i
$956$			5.88011i			0.190176i
$957$	13.3414	−	5.02978i	0.431267	−	0.162590i
$958$	−1.84333	+	1.84333i	−0.0595553	+	0.0595553i
$959$	4.70343	+	3.41724i	0.151882	+	0.110349i
$960$	−13.2873	−	10.3269i	−0.428846	−	0.333299i
$961$	−3.24886	−	9.99895i	−0.104802	−	0.322547i
$962$	−0.00968526	−	0.00153400i	−0.000312265	−	4.94580e-5i
$963$	−18.4837	−	2.92752i	−0.595628	−	0.0943381i
$964$	−8.12004	−	24.9909i	−0.261529	−	0.804903i
$965$	34.0411	+	26.4568i	1.09582	+	0.851673i
$966$	0.718809	+	0.522246i	0.0231273	+	0.0168030i
$967$	−13.5969	+	13.5969i	−0.437248	+	0.437248i	−0.891085	−	0.453837i	$-0.850055\pi$
$967$	−13.5969	+	13.5969i	−0.437248	+	0.437248i	0.453837	+	0.891085i	$0.350055\pi$
$968$	−5.74158	−	2.28330i	−0.184541	−	0.0733882i
$969$		−	32.7913i		−	1.05341i
$970$	−0.444269	+	2.31699i	−0.0142646	+	0.0743941i
$971$	4.57194	−	14.0710i	0.146721	−	0.451560i	−0.850508	−	0.525963i	$-0.823705\pi$
$971$	4.57194	−	14.0710i	0.146721	−	0.451560i	0.997228	+	0.0744031i	$0.0237051\pi$
$972$	0.898938	−	1.76427i	0.0288335	−	0.0565888i
$973$	1.56969	−	9.91063i	0.0503219	−	0.317720i
$974$	3.29196	−	2.39175i	0.105481	−	0.0766366i
$975$	−0.382989	−	0.152478i	−0.0122654	−	0.00488319i
$976$	36.6883	+	11.9207i	1.17436	+	0.381574i
$977$	0.693560	+	4.37896i	0.0221889	+	0.140095i	0.996296	−	0.0859928i	$-0.0274062\pi$
$977$	0.693560	+	4.37896i	0.0221889	+	0.140095i	−0.974107	+	0.226088i	$0.927406\pi$
$978$	−0.925463	−	0.925463i	−0.0295930	−	0.0295930i
$979$	−0.728945	+	1.61118i	−0.0232972	+	0.0514937i
$980$	−7.37919	−	15.7203i	−0.235719	−	0.502166i
$981$	−11.5357	+	15.8775i	−0.368306	+	0.506929i
$982$	0.156671	−	0.0798278i	0.00499957	−	0.00254741i
$983$	−26.8029	−	13.6568i	−0.854881	−	0.435584i	−0.0291013	−	0.999576i	$-0.509265\pi$
$983$	−26.8029	−	13.6568i	−0.854881	−	0.435584i	−0.825780	+	0.563993i	$0.809265\pi$
$984$	−2.09475	−	2.88318i	−0.0667783	−	0.0919124i
$985$	56.4957	−	16.3554i	1.80010	−	0.521125i
$986$	−2.99137	+	0.971954i	−0.0952645	+	0.0309533i
$987$	1.49303	+	2.93023i	0.0475236	+	0.0932702i
$988$	−1.01990	+	0.161536i	−0.0324473	+	0.00513914i
$989$	23.5080			0.747510
$990$	−1.03139	+	0.178194i	−0.0327798	+	0.00566339i
$991$	10.4987			0.333503			0.166752	−	0.985999i	$-0.446672\pi$
$991$	10.4987			0.333503			0.166752	+	0.985999i	$0.446672\pi$
$992$	−7.47090	+	1.18327i	−0.237201	+	0.0375690i
$993$	8.60349	+	16.8853i	0.273024	+	0.535839i
$994$	−0.629955	+	0.204685i	−0.0199810	+	0.00649221i
$995$	−13.4268	+	24.3684i	−0.425657	+	0.772530i
$996$	−11.7358	−	16.1529i	−0.371862	−	0.511824i
$997$	−53.7793	−	27.4019i	−1.70321	−	0.867827i	−0.985119	−	0.171875i	$-0.945018\pi$
$997$	−53.7793	−	27.4019i	−1.70321	−	0.867827i	−0.718088	−	0.695952i	$-0.754982\pi$
$998$	3.04649	−	1.55226i	0.0964348	−	0.0491360i
$999$	0.495355	−	0.681798i	0.0156723	−	0.0215711i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	165.2.w.a.7.7	✓	96
3.2	odd	2		495.2.bj.c.172.6		96
5.2	odd	4		825.2.cw.b.568.7		96
5.3	odd	4	inner	165.2.w.a.73.6	yes	96
5.4	even	2		825.2.cw.b.7.6		96
11.8	odd	10	inner	165.2.w.a.52.6	yes	96
15.8	even	4		495.2.bj.c.73.7		96
33.8	even	10		495.2.bj.c.217.7		96
55.8	even	20	inner	165.2.w.a.118.7	yes	96
55.19	odd	10		825.2.cw.b.382.7		96
55.52	even	20		825.2.cw.b.118.6		96
165.8	odd	20		495.2.bj.c.118.6		96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
165.2.w.a.7.7	✓	96	1.1	even	1	trivial
165.2.w.a.52.6	yes	96	11.8	odd	10	inner
165.2.w.a.73.6	yes	96	5.3	odd	4	inner
165.2.w.a.118.7	yes	96	55.8	even	20	inner
495.2.bj.c.73.7		96	15.8	even	4
495.2.bj.c.118.6		96	165.8	odd	20
495.2.bj.c.172.6		96	3.2	odd	2
495.2.bj.c.217.7		96	33.8	even	10
825.2.cw.b.7.6		96	5.4	even	2
825.2.cw.b.118.6		96	55.52	even	20
825.2.cw.b.382.7		96	55.19	odd	10
825.2.cw.b.568.7		96	5.2	odd	4

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:	\( N \)	\(=\)	\( 165 = 3 \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	165.w (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.139396 - 0.0220781i) q^{2} +(-0.453990 - 0.891007i) q^{3} +(-1.88317 + 0.611879i) q^{4} +(-1.95846 - 1.07909i) q^{5} +(-0.0829560 - 0.114179i) q^{6} +(-1.56314 - 0.796462i) q^{7} +(-0.500497 + 0.255016i) q^{8} +(-0.587785 + 0.809017i) q^{9} +O(q^{10})\)	\(q+(0.139396 - 0.0220781i) q^{2} +(-0.453990 - 0.891007i) q^{3} +(-1.88317 + 0.611879i) q^{4} +(-1.95846 - 1.07909i) q^{5} +(-0.0829560 - 0.114179i) q^{6} +(-1.56314 - 0.796462i) q^{7} +(-0.500497 + 0.255016i) q^{8} +(-0.587785 + 0.809017i) q^{9} +(-0.296825 - 0.107182i) q^{10} +(-3.02175 - 1.36712i) q^{11} +(1.40013 + 1.40013i) q^{12} +(-0.0128972 - 0.0814300i) q^{13} +(-0.235480 - 0.0765120i) q^{14} +(-0.0723580 + 2.23490i) q^{15} +(3.13970 - 2.28113i) q^{16} +(0.810965 - 5.12023i) q^{17} +(-0.0640731 + 0.125751i) q^{18} +(-1.95466 + 6.01583i) q^{19} +(4.34838 + 0.833777i) q^{20} +1.75436i q^{21} +(-0.451402 - 0.123857i) q^{22} +(2.53743 - 2.53743i) q^{23} +(0.454442 + 0.330171i) q^{24} +(2.67111 + 4.22672i) q^{25} +(-0.00359564 - 0.0110662i) q^{26} +(0.987688 + 0.156434i) q^{27} +(3.43100 + 0.543418i) q^{28} +(-1.32845 - 4.08856i) q^{29} +(0.0392559 + 0.313132i) q^{30} +(-3.66177 - 2.66043i) q^{31} +(1.18169 - 1.18169i) q^{32} +(0.153729 + 3.31306i) q^{33} -0.731642i q^{34} +(2.20190 + 3.24662i) q^{35} +(0.611879 - 1.88317i) q^{36} +(0.382600 - 0.750895i) q^{37} +(-0.139653 + 0.881735i) q^{38} +(-0.0666994 + 0.0484600i) q^{39} +(1.25539 + 0.0406451i) q^{40} +(-6.03392 - 1.96054i) q^{41} +(0.0387329 + 0.244550i) q^{42} +(4.63224 + 4.63224i) q^{43} +(6.52698 + 0.725582i) q^{44} +(2.02416 - 0.950150i) q^{45} +(0.297685 - 0.409728i) q^{46} +(1.67026 - 0.851039i) q^{47} +(-3.45789 - 1.76189i) q^{48} +(-2.30543 - 3.17315i) q^{49} +(0.465659 + 0.530213i) q^{50} +(-4.93033 + 1.60196i) q^{51} +(0.0741130 + 0.145455i) q^{52} +(1.85551 - 0.293884i) q^{53} +0.141133 q^{54} +(4.44271 + 5.93821i) q^{55} +0.985460 q^{56} +(6.24754 - 0.989514i) q^{57} +(-0.275448 - 0.540598i) q^{58} +(-12.6314 + 4.10420i) q^{59} +(-1.23122 - 4.25296i) q^{60} +(5.84264 + 8.04170i) q^{61} +(-0.569172 - 0.290008i) q^{62} +(1.56314 - 0.796462i) q^{63} +(-4.42362 + 6.08859i) q^{64} +(-0.0626119 + 0.173395i) q^{65} +(0.0945751 + 0.458432i) q^{66} +(-10.5846 - 10.5846i) q^{67} +(1.60578 + 10.1385i) q^{68} +(-3.41284 - 1.10890i) q^{69} +(0.378613 + 0.403950i) q^{70} +(2.16428 - 1.57244i) q^{71} +(0.0878726 - 0.554806i) q^{72} +(5.55881 - 10.9098i) q^{73} +(0.0367544 - 0.113118i) q^{74} +(2.55337 - 4.29887i) q^{75} -12.5248i q^{76} +(3.63457 + 4.54372i) q^{77} +(-0.00822770 + 0.00822770i) q^{78} +(-4.82087 - 3.50257i) q^{79} +(-8.61052 + 1.07946i) q^{80} +(-0.309017 - 0.951057i) q^{81} +(-0.884387 - 0.140073i) q^{82} +(-9.95931 - 1.57740i) q^{83} +(-1.07345 - 3.30375i) q^{84} +(-7.11345 + 9.15265i) q^{85} +(0.747985 + 0.543443i) q^{86} +(-3.03983 + 3.03983i) q^{87} +(1.86102 - 0.0863527i) q^{88} -0.533196i q^{89} +(0.261181 - 0.177136i) q^{90} +(-0.0446956 + 0.137559i) q^{91} +(-3.22581 + 6.33101i) q^{92} +(-0.708054 + 4.47047i) q^{93} +(0.214037 - 0.155507i) q^{94} +(10.3198 - 9.67249i) q^{95} +(-1.58937 - 0.516418i) q^{96} +(-1.16945 - 7.38364i) q^{97} +(-0.391424 - 0.391424i) q^{98} +(2.88217 - 1.64107i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 96 q - 8 q^{5} - 20 q^{7}+O(q^{10}) \) 96 * q - 8 * q^5 - 20 * q^7	\( 96 q - 8 q^{5} - 20 q^{7} + 8 q^{11} - 16 q^{12} - 12 q^{15} + 8 q^{16} - 20 q^{17} - 60 q^{20} - 32 q^{22} + 32 q^{23} - 32 q^{25} - 60 q^{28} - 40 q^{30} + 16 q^{31} - 16 q^{33} + 24 q^{36} + 8 q^{37} + 56 q^{38} - 120 q^{41} + 12 q^{42} - 200 q^{46} + 60 q^{47} + 48 q^{48} + 80 q^{50} + 40 q^{51} + 40 q^{52} + 36 q^{53} + 80 q^{55} - 80 q^{56} + 40 q^{57} + 44 q^{58} + 48 q^{60} + 40 q^{61} + 80 q^{62} + 20 q^{63} + 56 q^{66} - 48 q^{67} + 80 q^{68} - 92 q^{70} + 32 q^{71} - 60 q^{73} - 24 q^{77} - 96 q^{78} - 80 q^{80} + 24 q^{81} + 32 q^{82} - 200 q^{83} - 80 q^{85} - 80 q^{86} - 144 q^{88} + 56 q^{91} + 20 q^{92} - 72 q^{93} + 60 q^{95} + 32 q^{97}+O(q^{100}) \) 96 * q - 8 * q^5 - 20 * q^7 + 8 * q^11 - 16 * q^12 - 12 * q^15 + 8 * q^16 - 20 * q^17 - 60 * q^20 - 32 * q^22 + 32 * q^23 - 32 * q^25 - 60 * q^28 - 40 * q^30 + 16 * q^31 - 16 * q^33 + 24 * q^36 + 8 * q^37 + 56 * q^38 - 120 * q^41 + 12 * q^42 - 200 * q^46 + 60 * q^47 + 48 * q^48 + 80 * q^50 + 40 * q^51 + 40 * q^52 + 36 * q^53 + 80 * q^55 - 80 * q^56 + 40 * q^57 + 44 * q^58 + 48 * q^60 + 40 * q^61 + 80 * q^62 + 20 * q^63 + 56 * q^66 - 48 * q^67 + 80 * q^68 - 92 * q^70 + 32 * q^71 - 60 * q^73 - 24 * q^77 - 96 * q^78 - 80 * q^80 + 24 * q^81 + 32 * q^82 - 200 * q^83 - 80 * q^85 - 80 * q^86 - 144 * q^88 + 56 * q^91 + 20 * q^92 - 72 * q^93 + 60 * q^95 + 32 * q^97

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