LMFDB - Embedded newform 525.2.bo.a.4.14

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [525,2,Mod(4,525)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(525, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([0, 3, 20]))

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

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

chi := DirichletCharacter("525.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 525 = 3 \cdot 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	525.bo (of order $30$, 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:	$4.19214610612$
Analytic rank:	$0$
Dimension:	$320$
Relative dimension:	$40$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			4.14
Character	$\chi$	$=$	525.4
Dual form			525.2.bo.a.394.14

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.208473 - 0.980788i) q^{2} +(-0.406737 - 0.913545i) q^{3} +(0.908606 - 0.404537i) q^{4} +(2.23584 + 0.0318845i) q^{5} +(-0.811201 + 0.589372i) q^{6} +(-0.130934 + 2.64251i) q^{7} +(-1.76493 - 2.42922i) q^{8} +(-0.669131 + 0.743145i) q^{9} +O(q^{10})$	\(q+(-0.208473 - 0.980788i) q^{2} +(-0.406737 - 0.913545i) q^{3} +(0.908606 - 0.404537i) q^{4} +(2.23584 + 0.0318845i) q^{5} +(-0.811201 + 0.589372i) q^{6} +(-0.130934 + 2.64251i) q^{7} +(-1.76493 - 2.42922i) q^{8} +(-0.669131 + 0.743145i) q^{9} +(-0.434841 - 2.19953i) q^{10} +(-3.08939 - 3.43112i) q^{11} +(-0.739127 - 0.665513i) q^{12} +(4.31119 - 1.40079i) q^{13} +(2.61904 - 0.422473i) q^{14} +(-0.880270 - 2.05551i) q^{15} +(-0.683583 + 0.759196i) q^{16} +(6.07851 - 0.638877i) q^{17} +(0.868364 + 0.501350i) q^{18} +(-5.60225 - 2.49428i) q^{19} +(2.04440 - 0.875511i) q^{20} +(2.46731 - 0.955191i) q^{21} +(-2.72115 + 3.74534i) q^{22} +(-0.663959 - 3.12368i) q^{23} +(-1.50134 + 2.60040i) q^{24} +(4.99797 + 0.142577i) q^{25} +(-2.27265 - 3.93634i) q^{26} +(0.951057 + 0.309017i) q^{27} +(0.950026 + 2.45397i) q^{28} +(3.60877 + 2.62193i) q^{29} +(-1.83251 + 1.29188i) q^{30} +(0.103792 + 0.987517i) q^{31} +(-4.31367 - 2.49050i) q^{32} +(-1.87791 + 4.21786i) q^{33} +(-1.89381 - 5.82854i) q^{34} +(-0.377003 + 5.90406i) q^{35} +(-0.307346 + 0.945914i) q^{36} +(2.28022 + 2.05311i) q^{37} +(-1.27845 + 6.01462i) q^{38} +(-3.03321 - 3.36872i) q^{39} +(-3.86865 - 5.48762i) q^{40} +(-2.02647 - 6.23685i) q^{41} +(-1.45121 - 2.22078i) q^{42} +6.93244i q^{43} +(-4.19505 - 1.86776i) q^{44} +(-1.51976 + 1.64022i) q^{45} +(-2.92525 + 1.30241i) q^{46} +(0.0501476 + 0.00527072i) q^{47} +(0.971598 + 0.315691i) q^{48} +(-6.96571 - 0.691990i) q^{49} +(-0.902103 - 4.93167i) q^{50} +(-3.05599 - 5.29314i) q^{51} +(3.35050 - 3.01681i) q^{52} +(0.646035 + 1.45102i) q^{53} +(0.104811 - 0.997207i) q^{54} +(-6.79799 - 7.76993i) q^{55} +(6.65032 - 4.34578i) q^{56} +6.13243i q^{57} +(1.81922 - 4.08604i) q^{58} +(-10.8923 - 2.31522i) q^{59} +(-1.63135 - 1.51155i) q^{60} +(-4.16854 + 0.886051i) q^{61} +(0.946908 - 0.307669i) q^{62} +(-1.87616 - 1.86549i) q^{63} +(-2.17475 + 6.69320i) q^{64} +(9.68380 - 2.99449i) q^{65} +(4.52832 + 0.962525i) q^{66} +(6.63669 - 0.697544i) q^{67} +(5.26452 - 3.03947i) q^{68} +(-2.58357 + 1.87707i) q^{69} +(5.86922 - 0.861076i) q^{70} +(13.1245 + 9.53549i) q^{71} +(2.98623 + 0.313865i) q^{72} +(-10.3022 + 9.27616i) q^{73} +(1.53831 - 2.66443i) q^{74} +(-1.90261 - 4.62386i) q^{75} -6.09927 q^{76} +(9.47127 - 7.71450i) q^{77} +(-2.67166 + 3.67722i) q^{78} +(-1.53409 + 14.5959i) q^{79} +(-1.55259 + 1.67565i) q^{80} +(-0.104528 - 0.994522i) q^{81} +(-5.69456 + 3.28776i) q^{82} +(2.44185 + 3.36091i) q^{83} +(1.85540 - 1.86601i) q^{84} +(13.6109 - 1.23462i) q^{85} +(6.79926 - 1.44523i) q^{86} +(0.927429 - 4.36321i) q^{87} +(-2.88237 + 13.5605i) q^{88} +(5.30539 - 1.12769i) q^{89} +(1.92554 + 1.14863i) q^{90} +(3.13712 + 11.5758i) q^{91} +(-1.86692 - 2.56960i) q^{92} +(0.859926 - 0.496478i) q^{93} +(-0.00528495 - 0.0502830i) q^{94} +(-12.4462 - 5.75545i) q^{95} +(-0.520656 + 4.95371i) q^{96} +(-3.66254 + 5.04106i) q^{97} +(0.773467 + 6.97615i) q^{98} +4.61702 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 320 q - 40 q^{4} - 2 q^{5} + 8 q^{6} + 60 q^{8} - 40 q^{9}+O(q^{10}) $ 320 * q - 40 * q^4 - 2 * q^5 + 8 * q^6 + 60 * q^8 - 40 * q^9	$ 320 q - 40 q^{4} - 2 q^{5} + 8 q^{6} + 60 q^{8} - 40 q^{9} + 4 q^{10} - 6 q^{11} + 12 q^{14} + 4 q^{15} + 40 q^{16} - 20 q^{17} + 16 q^{19} + 8 q^{20} + 40 q^{22} - 60 q^{23} - 48 q^{24} + 4 q^{25} - 30 q^{28} + 24 q^{29} - 48 q^{30} - 30 q^{31} - 80 q^{36} + 30 q^{38} - 32 q^{40} + 36 q^{41} + 10 q^{42} - 16 q^{44} + 2 q^{45} + 32 q^{46} + 16 q^{49} - 140 q^{50} + 190 q^{52} - 60 q^{53} + 4 q^{54} - 8 q^{55} + 60 q^{58} + 24 q^{59} - 46 q^{60} - 20 q^{61} + 120 q^{62} + 10 q^{63} - 4 q^{64} - 30 q^{65} - 16 q^{66} - 60 q^{67} - 32 q^{69} - 76 q^{70} + 32 q^{71} - 30 q^{72} - 40 q^{73} - 12 q^{74} - 8 q^{75} - 344 q^{76} + 4 q^{79} - 52 q^{80} + 40 q^{81} - 80 q^{83} + 48 q^{84} - 76 q^{85} + 24 q^{86} - 200 q^{88} - 52 q^{90} + 26 q^{91} + 180 q^{92} + 16 q^{94} - 38 q^{95} - 58 q^{96} - 140 q^{97} + 360 q^{98} + 8 q^{99}+O(q^{100}) $ 320 * q - 40 * q^4 - 2 * q^5 + 8 * q^6 + 60 * q^8 - 40 * q^9 + 4 * q^10 - 6 * q^11 + 12 * q^14 + 4 * q^15 + 40 * q^16 - 20 * q^17 + 16 * q^19 + 8 * q^20 + 40 * q^22 - 60 * q^23 - 48 * q^24 + 4 * q^25 - 30 * q^28 + 24 * q^29 - 48 * q^30 - 30 * q^31 - 80 * q^36 + 30 * q^38 - 32 * q^40 + 36 * q^41 + 10 * q^42 - 16 * q^44 + 2 * q^45 + 32 * q^46 + 16 * q^49 - 140 * q^50 + 190 * q^52 - 60 * q^53 + 4 * q^54 - 8 * q^55 + 60 * q^58 + 24 * q^59 - 46 * q^60 - 20 * q^61 + 120 * q^62 + 10 * q^63 - 4 * q^64 - 30 * q^65 - 16 * q^66 - 60 * q^67 - 32 * q^69 - 76 * q^70 + 32 * q^71 - 30 * q^72 - 40 * q^73 - 12 * q^74 - 8 * q^75 - 344 * q^76 + 4 * q^79 - 52 * q^80 + 40 * q^81 - 80 * q^83 + 48 * q^84 - 76 * q^85 + 24 * q^86 - 200 * q^88 - 52 * q^90 + 26 * q^91 + 180 * q^92 + 16 * q^94 - 38 * q^95 - 58 * q^96 - 140 * q^97 + 360 * q^98 + 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/525\mathbb{Z}\right)^\times$.

$n$	$127$	$176$	$451$
$\chi(n)$	$e\left(\frac{1}{10}\right)$	$1$	$e\left(\frac{2}{3}\right)$

Coefficient data

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

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

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

$2$	−0.208473	−	0.980788i	−0.147413	−	0.693522i	−0.988326	−	0.152353i	$-0.951315\pi$
$2$	−0.208473	−	0.980788i	−0.147413	−	0.693522i	0.840914	−	0.541170i	$-0.182018\pi$
$3$	−0.406737	−	0.913545i	−0.234830	−	0.527436i
$3$	−0.406737	−	0.913545i	−0.234830	−	0.527436i
$4$	0.908606	−	0.404537i	0.454303	−	0.202269i
$5$	2.23584	+	0.0318845i	0.999898	+	0.0142592i
$5$	2.23584	+	0.0318845i	0.999898	+	0.0142592i
$6$	−0.811201	+	0.589372i	−0.331172	+	0.240610i
$7$	−0.130934	+	2.64251i	−0.0494885	+	0.998775i
$7$	−0.130934	+	2.64251i	−0.0494885	+	0.998775i
$8$	−1.76493	−	2.42922i	−0.623997	−	0.858858i
$9$	−0.669131	+	0.743145i	−0.223044	+	0.247715i
$10$	−0.434841	−	2.19953i	−0.137509	−	0.695554i
$11$	−3.08939	−	3.43112i	−0.931487	−	1.03452i	−0.999322	−	0.0368242i	$-0.988276\pi$
$11$	−3.08939	−	3.43112i	−0.931487	−	1.03452i	0.0678351	−	0.997697i	$-0.478391\pi$
$12$	−0.739127	−	0.665513i	−0.213367	−	0.192117i
$13$	4.31119	−	1.40079i	1.19571	−	0.388510i	0.357529	−	0.933902i	$-0.383619\pi$
$13$	4.31119	−	1.40079i	1.19571	−	0.388510i	0.838181	+	0.545393i	$0.183619\pi$
$14$	2.61904	−	0.422473i	0.699968	−	0.112911i
$15$	−0.880270	−	2.05551i	−0.227285	−	0.530731i
$16$	−0.683583	+	0.759196i	−0.170896	+	0.189799i
$17$	6.07851	−	0.638877i	1.47425	−	0.154950i	0.666957	−	0.745096i	$-0.267596\pi$
$17$	6.07851	−	0.638877i	1.47425	−	0.154950i	0.807297	+	0.590145i	$0.200930\pi$
$18$	0.868364	+	0.501350i	0.204675	+	0.118169i
$19$	−5.60225	−	2.49428i	−1.28524	−	0.572228i	−0.353532	−	0.935423i	$-0.615019\pi$
$19$	−5.60225	−	2.49428i	−1.28524	−	0.572228i	−0.931713	+	0.363195i	$0.881686\pi$
$20$	2.04440	−	0.875511i	0.457141	−	0.195770i
$21$	2.46731	−	0.955191i	0.538411	−	0.208440i
$22$	−2.72115	+	3.74534i	−0.580150	+	0.798508i
$23$	−0.663959	−	3.12368i	−0.138445	−	0.651333i	−0.991564	−	0.129616i	$-0.958625\pi$
$23$	−0.663959	−	3.12368i	−0.138445	−	0.651333i	0.853119	−	0.521716i	$-0.174708\pi$
$24$	−1.50134	+	2.60040i	−0.306460	+	0.530803i
$25$	4.99797	+	0.142577i	0.999593	+	0.0285155i
$26$	−2.27265	−	3.93634i	−0.445703	−	0.771980i
$27$	0.951057	+	0.309017i	0.183031	+	0.0594703i
$28$	0.950026	+	2.45397i	0.179538	+	0.463756i
$29$	3.60877	+	2.62193i	0.670132	+	0.486880i	0.870070	−	0.492929i	$-0.164074\pi$
$29$	3.60877	+	2.62193i	0.670132	+	0.486880i	−0.199937	+	0.979809i	$0.564074\pi$
$30$	−1.83251	+	1.29188i	−0.334569	+	0.235863i
$31$	0.103792	+	0.987517i	0.0186416	+	0.177363i	0.999881	−	0.0154304i	$-0.00491185\pi$
$31$	0.103792	+	0.987517i	0.0186416	+	0.177363i	−0.981239	+	0.192794i	$0.938245\pi$
$32$	−4.31367	−	2.49050i	−0.762557	−	0.440262i
$33$	−1.87791	+	4.21786i	−0.326903	+	0.734235i
$34$	−1.89381	−	5.82854i	−0.324785	−	0.999587i
$35$	−0.377003	+	5.90406i	−0.0637252	+	0.997967i
$36$	−0.307346	+	0.945914i	−0.0512244	+	0.157652i
$37$	2.28022	+	2.05311i	0.374865	+	0.337530i	0.834931	−	0.550355i	$-0.185508\pi$
$37$	2.28022	+	2.05311i	0.374865	+	0.337530i	−0.460066	+	0.887885i	$0.652174\pi$
$38$	−1.27845	+	6.01462i	−0.207391	+	0.975700i
$39$	−3.03321	−	3.36872i	−0.485702	−	0.539426i
$40$	−3.86865	−	5.48762i	−0.611687	−	0.867668i
$41$	−2.02647	−	6.23685i	−0.316482	−	0.974032i	−0.975140	−	0.221590i	$-0.928876\pi$
$41$	−2.02647	−	6.23685i	−0.316482	−	0.974032i	0.658658	−	0.752443i	$-0.271124\pi$
$42$	−1.45121	−	2.22078i	−0.223926	−	0.342673i
$43$			6.93244i			1.05719i	0.848875	+	0.528594i	$0.177281\pi$
$43$			6.93244i			1.05719i	−0.848875	+	0.528594i	$0.822719\pi$
$44$	−4.19505	−	1.86776i	−0.632428	−	0.281575i
$45$	−1.51976	+	1.64022i	−0.226553	+	0.244509i
$46$	−2.92525	+	1.30241i	−0.431305	+	0.192029i
$47$	0.0501476	+	0.00527072i	0.00731477	+	0.000768814i	0.108185	−	0.994131i	$-0.465496\pi$
$47$	0.0501476	+	0.00527072i	0.00731477	+	0.000768814i	−0.100870	+	0.994900i	$0.532163\pi$
$48$	0.971598	+	0.315691i	0.140238	+	0.0455661i
$49$	−6.96571	−	0.691990i	−0.995102	−	0.0988557i
$50$	−0.902103	−	4.93167i	−0.127577	−	0.697444i
$51$	−3.05599	−	5.29314i	−0.427925	−	0.741188i
$52$	3.35050	−	3.01681i	0.464631	−	0.418356i
$53$	0.646035	+	1.45102i	0.0887397	+	0.199313i	0.952463	−	0.304653i	$-0.0985405\pi$
$53$	0.646035	+	1.45102i	0.0887397	+	0.199313i	−0.863724	+	0.503966i	$0.831874\pi$
$54$	0.104811	−	0.997207i	0.0142629	−	0.135703i
$55$	−6.79799	−	7.76993i	−0.916641	−	1.04770i
$56$	6.65032	−	4.34578i	0.888686	−	0.580729i
$57$			6.13243i			0.812260i
$58$	1.81922	−	4.08604i	0.238876	−	0.536524i
$59$	−10.8923	−	2.31522i	−1.41805	−	0.301416i	−0.565797	−	0.824544i	$-0.691431\pi$
$59$	−10.8923	−	2.31522i	−1.41805	−	0.301416i	−0.852254	+	0.523128i	$0.824765\pi$
$60$	−1.63135	−	1.51155i	−0.210606	−	0.195140i
$61$	−4.16854	+	0.886051i	−0.533727	+	0.113447i	−0.466888	−	0.884317i	$-0.654625\pi$
$61$	−4.16854	+	0.886051i	−0.533727	+	0.113447i	−0.0668392	+	0.997764i	$0.521291\pi$
$62$	0.946908	−	0.307669i	0.120257	−	0.0390740i
$63$	−1.87616	−	1.86549i	−0.236373	−	0.235029i
$64$	−2.17475	+	6.69320i	−0.271844	+	0.836650i
$65$	9.68380	−	2.99449i	1.20113	−	0.371420i
$66$	4.52832	+	0.962525i	0.557398	+	0.118479i
$67$	6.63669	−	0.697544i	0.810801	−	0.0852186i	0.309951	−	0.950753i	$-0.399687\pi$
$67$	6.63669	−	0.697544i	0.810801	−	0.0852186i	0.500850	+	0.865534i	$0.333021\pi$
$68$	5.26452	−	3.03947i	0.638417	−	0.368590i
$69$	−2.58357	+	1.87707i	−0.311025	+	0.225973i
$70$	5.86922	−	0.861076i	0.701507	−	0.102918i
$71$	13.1245	+	9.53549i	1.55759	+	1.13165i	0.937952	+	0.346766i	$0.112720\pi$
$71$	13.1245	+	9.53549i	1.55759	+	1.13165i	0.619637	+	0.784889i	$0.287280\pi$
$72$	2.98623	+	0.313865i	0.351930	+	0.0369894i
$73$	−10.3022	+	9.27616i	−1.20578	+	1.08569i	−0.211671	+	0.977341i	$0.567891\pi$
$73$	−10.3022	+	9.27616i	−1.20578	+	1.08569i	−0.994113	+	0.108352i	$0.965443\pi$
$74$	1.53831	−	2.66443i	0.178825	−	0.309733i
$75$	−1.90261	−	4.62386i	−0.219694	−	0.533918i
$76$	−6.09927			−0.699634
$77$	9.47127	−	7.71450i	1.07935	−	0.879148i
$78$	−2.67166	+	3.67722i	−0.302506	+	0.416363i
$79$	−1.53409	+	14.5959i	−0.172599	+	1.64217i	0.474857	+	0.880063i	$0.342500\pi$
$79$	−1.53409	+	14.5959i	−0.172599	+	1.64217i	−0.647456	+	0.762103i	$0.724167\pi$
$80$	−1.55259	+	1.67565i	−0.173585	+	0.187343i
$81$	−0.104528	−	0.994522i	−0.0116143	−	0.110502i
$82$	−5.69456	+	3.28776i	−0.628859	+	0.363072i
$83$	2.44185	+	3.36091i	0.268027	+	0.368908i	0.921723	−	0.387850i	$-0.126782\pi$
$83$	2.44185	+	3.36091i	0.268027	+	0.368908i	−0.653695	+	0.756758i	$0.726782\pi$
$84$	1.85540	−	1.86601i	0.202441	−	0.203598i
$85$	13.6109	−	1.23462i	1.47631	−	0.133913i
$86$	6.79926	−	1.44523i	0.733183	−	0.155843i
$87$	0.927429	−	4.36321i	0.0994309	−	0.467785i
$88$	−2.88237	+	13.5605i	−0.307262	+	1.44555i
$89$	5.30539	−	1.12769i	0.562370	−	0.119535i	0.0820491	−	0.996628i	$-0.473854\pi$
$89$	5.30539	−	1.12769i	0.562370	−	0.119535i	0.480321	+	0.877093i	$0.340520\pi$
$90$	1.92554	+	1.14863i	0.202969	+	0.121076i
$91$	3.13712	+	11.5758i	0.328860	+	1.21347i
$92$	−1.86692	−	2.56960i	−0.194640	−	0.267899i
$93$	0.859926	−	0.496478i	0.0891701	−	0.0514824i
$94$	−0.00528495	−	0.0502830i	−0.000545101	−	0.00518629i
$95$	−12.4462	−	5.75545i	−1.27695	−	0.590496i
$96$	−0.520656	+	4.95371i	−0.0531392	+	0.505586i
$97$	−3.66254	+	5.04106i	−0.371875	+	0.511842i	−0.953409	−	0.301680i	$-0.902453\pi$
$97$	−3.66254	+	5.04106i	−0.371875	+	0.511842i	0.581534	+	0.813522i	$0.302453\pi$
$98$	0.773467	+	6.97615i	0.0781320	+	0.704698i
$99$	4.61702			0.464028
$100$	4.59886	−	1.89232i	0.459886	−	0.189232i
$101$	−2.40297	+	4.16207i	−0.239105	+	0.414141i	−0.960458	−	0.278426i	$-0.910187\pi$
$101$	−2.40297	+	4.16207i	−0.239105	+	0.414141i	0.721353	+	0.692568i	$0.243521\pi$
$102$	−4.55436	+	4.10076i	−0.450948	+	0.406036i
$103$	18.4532	+	1.93951i	1.81824	+	0.191105i	0.951500	−	0.307648i	$-0.0995418\pi$
$103$	18.4532	+	1.93951i	1.81824	+	0.191105i	0.866744	+	0.498753i	$0.166208\pi$
$104$	−11.0118	−	8.00052i	−1.07979	−	0.784516i
$105$	5.54696	−	2.05699i	0.541328	−	0.200741i
$106$	1.28846	−	0.936122i	0.125146	−	0.0909242i
$107$	11.1325	−	6.42737i	1.07622	−	0.621357i	0.146348	−	0.989233i	$-0.453248\pi$
$107$	11.1325	−	6.42737i	1.07622	−	0.621357i	0.929875	+	0.367876i	$0.119915\pi$
$108$	0.989144	−	0.103963i	0.0951805	−	0.0100039i
$109$	−11.4001	−	2.42316i	−1.09193	−	0.232097i	−0.373454	−	0.927649i	$-0.621827\pi$
$109$	−11.4001	−	2.42316i	−1.09193	−	0.232097i	−0.718476	+	0.695552i	$0.755160\pi$
$110$	−6.20347	+	8.28721i	−0.591477	+	0.790155i
$111$	0.948167	−	2.91816i	0.0899960	−	0.276979i
$112$	−1.91668	−	1.90578i	−0.181109	−	0.180079i
$113$	−14.3317	+	4.65665i	−1.34821	+	0.438061i	−0.892090	−	0.451857i	$-0.850762\pi$
$113$	−14.3317	+	4.65665i	−1.34821	+	0.438061i	−0.456121	+	0.889918i	$0.650762\pi$
$114$	6.01462	−	1.27845i	0.563320	−	0.119737i
$115$	−1.38491	−	7.00522i	−0.129143	−	0.653240i
$116$	4.33962	+	0.922415i	0.402924	+	0.0856441i
$117$	−1.84376	+	4.14115i	−0.170456	+	0.382850i
$118$			11.1657i			1.02788i
$119$	0.892353	+	16.1462i	0.0818019	+	1.48012i
$120$	−3.43967	+	5.76620i	−0.313997	+	0.526380i
$121$	−1.07841	+	10.2604i	−0.0980373	+	0.932763i
$122$	1.73806	+	3.90374i	0.157356	+	0.353428i
$123$	−4.87340	+	4.38803i	−0.439420	+	0.395656i
$124$	0.493794	+	0.855276i	0.0443440	+	0.0768061i
$125$	11.1701	+	0.478138i	0.999085	+	0.0427660i
$126$	−1.43852	+	2.22902i	−0.128154	+	0.198576i
$127$	16.3127	+	5.30031i	1.44752	+	0.470327i	0.924232	−	0.381831i	$-0.124706\pi$
$127$	16.3127	+	5.30031i	1.44752	+	0.470327i	0.523285	+	0.852158i	$0.324706\pi$
$128$	−2.88944	−	0.303692i	−0.255392	−	0.0268428i
$129$	6.33310	−	2.81968i	0.557599	−	0.248259i
$130$	−4.95577	−	8.87349i	−0.434650	−	0.778257i
$131$	2.70375	+	1.20378i	0.236227	+	0.105175i	0.521436	−	0.853290i	$-0.325396\pi$
$131$	2.70375	+	1.20378i	0.236227	+	0.105175i	−0.285209	+	0.958465i	$0.592063\pi$
$132$			4.59206i			0.399687i
$133$	7.32469	−	14.4774i	0.635132	−	1.25535i
$134$	−2.06771	−	6.36377i	−0.178623	−	0.549746i
$135$	2.11656	+	0.721237i	0.182164	+	0.0620742i
$136$	−12.2801	−	13.6384i	−1.05301	−	1.16949i
$137$	−2.59233	+	12.1959i	−0.221478	+	1.04197i	0.717118	+	0.696951i	$0.245461\pi$
$137$	−2.59233	+	12.1959i	−0.221478	+	1.04197i	−0.938596	+	0.345018i	$0.887873\pi$
$138$	2.37962	+	2.14262i	0.202566	+	0.182392i
$139$	2.30281	−	7.08731i	0.195321	−	0.601137i	−0.804651	−	0.593748i	$-0.797648\pi$
$139$	2.30281	−	7.08731i	0.195321	−	0.601137i	0.999973	−	0.00738977i	$-0.00235226\pi$
$140$	2.04586	+	5.51697i	0.172907	+	0.466269i
$141$	−0.0155818	−	0.0479559i	−0.00131222	−	0.00403861i
$142$	6.61620	−	14.8602i	0.555219	−	1.24704i
$143$	−18.1252	−	10.4646i	−1.51571	−	0.875095i
$144$	−0.106786	−	1.01600i	−0.00889885	−	0.0846669i
$145$	7.98504	+	5.97728i	0.663122	+	0.496386i
$146$	11.2457	+	8.17047i	0.930700	+	0.676193i
$147$	2.20105	+	6.64495i	0.181539	+	0.548066i
$148$	2.90238	+	0.943040i	0.238574	+	0.0775174i
$149$	−0.00173331	−	0.00300218i	−0.000141998	−	0.000245948i	0.865954	−	0.500123i	$-0.166712\pi$
$149$	−0.00173331	−	0.00300218i	−0.000141998	−	0.000245948i	−0.866096	+	0.499877i	$0.833379\pi$
$150$	−4.13839	+	2.83000i	−0.337898	+	0.231069i
$151$	0.415722	−	0.720052i	0.0338310	−	0.0585970i	−0.848614	−	0.529012i	$-0.822563\pi$
$151$	0.415722	−	0.720052i	0.0338310	−	0.0585970i	0.882445	+	0.470415i	$0.155896\pi$
$152$	3.82843	+	18.0113i	0.310526	+	1.46091i
$153$	−3.59254	+	4.94470i	−0.290439	+	0.399756i
$154$	−9.54079	−	7.68105i	−0.768819	−	0.618956i
$155$	0.200576	+	2.21124i	0.0161107	+	0.177611i
$156$	−4.11876	−	1.83379i	−0.329765	−	0.146821i
$157$	5.09571	+	2.94201i	0.406682	+	0.234798i	0.689363	−	0.724416i	$-0.257891\pi$
$157$	5.09571	+	2.94201i	0.406682	+	0.234798i	−0.282681	+	0.959214i	$0.591224\pi$
$158$	14.6353	−	1.53823i	1.16432	−	0.122375i
$159$	1.06281	−	1.18036i	0.0842859	−	0.0936090i
$160$	−9.56527	−	5.70590i	−0.756201	−	0.451091i
$161$	8.34129	−	1.34552i	0.657386	−	0.106042i
$162$	−0.953624	+	0.309851i	−0.0749238	+	0.0243442i
$163$	−1.05071	−	0.946061i	−0.0822977	−	0.0741012i	0.626955	−	0.779055i	$-0.284301\pi$
$163$	−1.05071	−	0.946061i	−0.0822977	−	0.0741012i	−0.709253	+	0.704954i	$0.750968\pi$
$164$	−4.36431	−	4.84705i	−0.340795	−	0.378491i
$165$	−4.33320	+	9.37059i	−0.337339	+	0.729499i
$166$	2.78729	−	3.09559i	0.216335	−	0.240265i
$167$	−9.00750	−	12.3978i	−0.697021	−	0.959367i	−0.999980	−	0.00636353i	$-0.997974\pi$
$167$	−9.00750	−	12.3978i	−0.697021	−	0.959367i	0.302959	−	0.953004i	$-0.402026\pi$
$168$	−6.67499	−	4.30778i	−0.514987	−	0.332353i
$169$	6.10694	−	4.43695i	0.469764	−	0.341304i
$170$	−4.04841	−	13.0921i	−0.310499	−	1.00412i
$171$	5.60225	−	2.49428i	0.428415	−	0.190743i
$172$	2.80443	+	6.29886i	0.213836	+	0.480284i
$173$	−2.52471	−	11.8778i	−0.191950	−	0.903055i	−0.963671	−	0.267093i	$-0.913937\pi$
$173$	−2.52471	−	11.8778i	−0.191950	−	0.903055i	0.771720	−	0.635962i	$-0.219396\pi$
$174$	−4.47273			−0.339077
$175$	−1.03117	+	13.1885i	−0.0779489	+	0.996957i
$176$	4.71675			0.355538
$177$	2.31522	+	10.8923i	0.174023	+	0.818712i
$178$	−2.21206	−	4.96837i	−0.165801	−	0.372395i
$179$	−8.95995	+	3.98922i	−0.669698	+	0.298169i	−0.713278	−	0.700881i	$-0.752790\pi$
$179$	−8.95995	+	3.98922i	−0.669698	+	0.298169i	0.0435802	+	0.999050i	$0.486124\pi$
$180$	−0.717337	+	2.10511i	−0.0534671	+	0.156906i
$181$	20.7752	−	15.0941i	1.54421	−	1.12193i	0.596584	−	0.802551i	$-0.296524\pi$
$181$	20.7752	−	15.0941i	1.54421	−	1.12193i	0.947626	−	0.319383i	$-0.103476\pi$
$182$	10.6994	−	5.49009i	0.793091	−	0.406952i
$183$	2.50495	+	3.44776i	0.185171	+	0.254866i
$184$	−6.41626	+	7.12598i	−0.473013	+	0.525334i
$185$	5.03274	+	4.66314i	0.370014	+	0.342841i
$186$	−0.666212	−	0.739903i	−0.0488490	−	0.0542523i
$187$	−20.9710	−	18.8823i	−1.53355	−	1.38081i
$188$	0.0476966	−	0.0154976i	0.00347863	−	0.00113028i
$189$	−0.941106	+	2.47271i	−0.0684554	+	0.179864i
$190$	−3.05017	+	13.4070i	−0.221283	+	0.972643i
$191$	11.5566	−	12.8349i	0.836205	−	0.928700i	−0.162107	−	0.986773i	$-0.551829\pi$
$191$	11.5566	−	12.8349i	0.836205	−	0.928700i	0.998312	+	0.0580731i	$0.0184956\pi$
$192$	6.99909	−	0.735634i	0.505116	−	0.0530898i
$193$	−10.4359	−	6.02516i	−0.751191	−	0.433700i	0.0749331	−	0.997189i	$-0.476126\pi$
$193$	−10.4359	−	6.02516i	−0.751191	−	0.433700i	−0.826124	+	0.563488i	$0.809459\pi$
$194$	5.70776	+	2.54126i	0.409793	+	0.182452i
$195$	−6.67436	−	7.62863i	−0.477960	−	0.546297i
$196$	−6.60902	+	2.18914i	−0.472073	+	0.156367i
$197$	−2.91183	+	4.00778i	−0.207459	+	0.285543i	−0.900049	−	0.435789i	$-0.856470\pi$
$197$	−2.91183	+	4.00778i	−0.207459	+	0.285543i	0.692590	+	0.721331i	$0.256470\pi$
$198$	−0.962525	−	4.52832i	−0.0684037	−	0.321814i
$199$	−7.20293	+	12.4758i	−0.510602	+	0.884389i	0.489322	+	0.872103i	$0.337244\pi$
$199$	−7.20293	+	12.4758i	−0.510602	+	0.884389i	−0.999925	+	0.0122858i	$0.996089\pi$
$200$	−8.47471	−	12.3928i	−0.599252	−	0.876302i
$201$	−3.33662	−	5.77920i	−0.235347	−	0.407633i
$202$	4.58307	+	1.48913i	0.322463	+	0.104775i
$203$	−7.40098	+	9.19292i	−0.519447	+	0.645216i
$204$	−4.91797	−	3.57311i	−0.344327	−	0.250168i
$205$	−4.33202	−	14.0092i	−0.302561	−	0.978446i
$206$	−1.94474	−	18.5030i	−0.135497	−	1.28916i
$207$	2.76562	+	1.59673i	0.192224	+	0.110981i
$208$	−1.88358	+	4.23060i	−0.130603	+	0.293339i
$209$	8.74937	+	26.9278i	0.605207	+	1.86264i
$210$	−3.17386	−	5.01157i	−0.219017	−	0.345831i
$211$	1.79456	−	5.52310i	0.123543	−	0.380226i	−0.870090	−	0.492893i	$-0.835939\pi$
$211$	1.79456	−	5.52310i	0.123543	−	0.380226i	0.993633	+	0.112667i	$0.0359394\pi$
$212$	1.17398	+	1.05706i	0.0806294	+	0.0725991i
$213$	3.37290	−	15.8682i	0.231107	−	1.08727i
$214$	−8.62472	−	9.57873i	−0.589574	−	0.654788i
$215$	−0.221038	+	15.4998i	−0.0150746	+	1.05708i
$216$	−0.927879	−	2.85572i	−0.0631341	−	0.194307i
$217$	−2.62311	+	0.144972i	−0.178069	+	0.00984135i
$218$			11.6862i			0.791492i
$219$	12.6645	+	5.63859i	0.855787	+	0.381021i
$220$	−9.31992	−	4.30977i	−0.628349	−	0.290564i
$221$	25.3107	−	11.2690i	1.70258	−	0.758038i
$222$	−3.05976	−	0.321594i	−0.205358	−	0.0215840i
$223$	5.96704	+	1.93881i	0.399583	+	0.129832i	0.501913	−	0.864918i	$-0.332630\pi$
$223$	5.96704	+	1.93881i	0.399583	+	0.129832i	−0.102330	+	0.994750i	$0.532630\pi$
$224$	7.14598	−	11.0728i	0.477461	−	0.739834i
$225$	−3.45025	+	3.61881i	−0.230017	+	0.241254i
$226$	7.55496	+	13.0856i	0.502548	+	0.870439i
$227$	−17.6819	+	15.9209i	−1.17359	+	1.05671i	−0.176213	+	0.984352i	$0.556385\pi$
$227$	−17.6819	+	15.9209i	−1.17359	+	1.05671i	−0.997379	+	0.0723549i	$0.976949\pi$
$228$	2.48080	+	5.57196i	0.164295	+	0.369012i
$229$	0.796634	−	7.57946i	0.0526430	−	0.500865i	−0.936153	−	0.351593i	$-0.885640\pi$
$229$	0.796634	−	7.57946i	0.0526430	−	0.500865i	0.988796	−	0.149272i	$-0.0476931\pi$
$230$	−6.58193	+	2.81870i	−0.433999	+	0.185860i
$231$	−10.8999	−	5.51466i	−0.717158	−	0.362838i
$232$		−	13.3940i		−	0.879360i
$233$	−5.08632	+	11.4241i	−0.333216	+	0.748415i	0.666779	+	0.745255i	$0.267672\pi$
$233$	−5.08632	+	11.4241i	−0.333216	+	0.748415i	−0.999995	+	0.00315979i	$0.998994\pi$
$234$	4.44597	+	0.945020i	0.290642	+	0.0617779i
$235$	0.111954	+	0.0133834i	0.00730307	+	0.000873038i
$236$	−10.8334	+	2.30270i	−0.705192	+	0.149893i
$237$	13.9580	−	4.53522i	0.906668	−	0.294594i
$238$	15.6499	−	4.24125i	1.01443	−	0.274919i
$239$	−8.64871	+	26.6180i	−0.559438	+	1.72177i	0.124486	+	0.992221i	$0.460272\pi$
$239$	−8.64871	+	26.6180i	−0.559438	+	1.72177i	−0.683925	+	0.729553i	$0.739728\pi$
$240$	2.16227	+	0.736815i	0.139574	+	0.0475612i
$241$	9.54375	+	2.02859i	0.614767	+	0.130673i	0.504762	−	0.863258i	$-0.331580\pi$
$241$	9.54375	+	2.02859i	0.614767	+	0.130673i	0.110004	+	0.993931i	$0.464913\pi$
$242$	10.2881	−	1.08132i	0.661344	−	0.0695100i
$243$	−0.866025	+	0.500000i	−0.0555556	+	0.0320750i
$244$	−3.42912	+	2.49140i	−0.219527	+	0.159496i
$245$	−15.5522	−	1.76928i	−0.993591	−	0.113035i
$246$	5.31970	+	3.86499i	0.339172	+	0.246423i
$247$	−27.6464	−	2.90575i	−1.75910	−	0.184888i
$248$	2.21571	−	1.99503i	0.140698	−	0.126685i
$249$	2.07716	−	3.59774i	0.131635	−	0.227998i
$250$	−1.85971	−	11.0552i	−0.117619	−	0.699192i
$251$	−13.7421			−0.867396			−0.433698	−	0.901058i	$-0.642792\pi$
$251$	−13.7421			−0.867396			−0.433698	+	0.901058i	$0.642792\pi$
$252$	−2.45934	−	0.936018i	−0.154924	−	0.0589636i
$253$	−8.66649	+	11.9284i	−0.544857	+	0.749932i
$254$	1.79773	−	17.1043i	0.112800	−	1.07322i
$255$	−6.66395	−	11.9321i	−0.417313	−	0.747214i
$256$	1.77578	+	16.8954i	0.110986	+	1.05596i
$257$	−6.98896	+	4.03508i	−0.435959	+	0.251701i	−0.701882	−	0.712293i	$-0.747657\pi$
$257$	−6.98896	+	4.03508i	−0.435959	+	0.251701i	0.265923	+	0.963994i	$0.414323\pi$
$258$	−4.08579	−	5.62361i	−0.254370	−	0.350111i
$259$	−5.72393	+	5.75667i	−0.355668	+	0.357702i
$260$	7.58738	−	6.63827i	0.470549	−	0.411688i
$261$	−4.36321	+	0.927429i	−0.270076	+	0.0574064i
$262$	0.617000	−	2.90276i	0.0381184	−	0.179333i
$263$	−1.16710	+	5.49079i	−0.0719667	+	0.338577i	−0.999370	−	0.0354859i	$-0.988702\pi$
$263$	−1.16710	+	5.49079i	−0.0719667	+	0.338577i	0.927403	+	0.374063i	$0.122035\pi$
$264$	13.5605	−	2.88237i	0.834590	−	0.177398i
$265$	1.39817	+	3.26484i	0.0858887	+	0.200558i
$266$	−15.7263	−	4.16583i	−0.964241	−	0.255423i
$267$	−3.18810	−	4.38804i	−0.195108	−	0.268544i
$268$	5.74795	−	3.31858i	0.351112	−	0.202715i
$269$	0.561533	+	5.34263i	0.0342373	+	0.325746i	0.998213	+	0.0597558i	$0.0190322\pi$
$269$	0.561533	+	5.34263i	0.0342373	+	0.325746i	−0.963976	+	0.265990i	$0.914301\pi$
$270$	0.266135	−	2.22625i	0.0161965	−	0.135486i
$271$	1.88694	−	17.9530i	0.114623	−	1.09057i	−0.774397	−	0.632701i	$-0.781946\pi$
$271$	1.88694	−	17.9530i	0.114623	−	1.09057i	0.889020	−	0.457868i	$-0.151387\pi$
$272$	−3.67013	+	5.05150i	−0.222534	+	0.306292i
$273$	9.29902	−	7.57419i	0.562802	−	0.458411i
$274$	12.5021			0.755278
$275$	−14.9515	−	17.5891i	−0.901608	−	1.06066i
$276$	−1.58810	+	2.75067i	−0.0955923	+	0.165571i
$277$	11.9350	−	10.7463i	0.717104	−	0.645684i	−0.227544	−	0.973768i	$-0.573070\pi$
$277$	11.9350	−	10.7463i	0.717104	−	0.645684i	0.944648	+	0.328084i	$0.106403\pi$
$278$	−7.43122	−	0.781053i	−0.445695	−	0.0468444i
$279$	−0.803319	−	0.583645i	−0.0480934	−	0.0349419i
$280$	15.0076	−	9.50442i	0.896877	−	0.567998i
$281$	−13.6065	+	9.88571i	−0.811696	+	0.589732i	−0.914322	−	0.404988i	$-0.867276\pi$
$281$	−13.6065	+	9.88571i	−0.811696	+	0.589732i	0.102626	+	0.994720i	$0.467276\pi$
$282$	−0.0437862	+	0.0252800i	−0.00260743	+	0.00150540i
$283$	5.28501	−	0.555477i	0.314161	−	0.0330197i	0.0538642	−	0.998548i	$-0.482846\pi$
$283$	5.28501	−	0.555477i	0.314161	−	0.0330197i	0.260297	+	0.965529i	$0.416180\pi$
$284$	15.7824	+	3.35466i	0.936515	+	0.199062i
$285$	−0.195529	+	13.7111i	−0.0115822	+	0.812177i
$286$	−6.48495	+	19.9586i	−0.383463	+	1.18018i
$287$	16.7463	−	4.53836i	0.988501	−	0.267891i
$288$	4.73721	−	1.53921i	0.279143	−	0.0906990i
$289$	19.9116	−	4.23234i	1.17127	−	0.248961i
$290$	4.19778	−	9.07774i	0.246502	−	0.533063i
$291$	6.09493	+	1.29552i	0.357291	+	0.0759446i
$292$	−5.60810	+	12.5960i	−0.328189	+	0.737126i
$293$		−	4.20767i		−	0.245815i	−0.992418	−	0.122907i	$-0.960778\pi$
$293$		−	4.20767i		−	0.245815i	0.992418	−	0.122907i	$-0.0392218\pi$
$294$	6.05843	−	3.54405i	0.353335	−	0.206693i
$295$	−24.2795	−	5.52376i	−1.41361	−	0.321606i
$296$	0.963043	−	9.16274i	0.0559757	−	0.532574i
$297$	−1.87791	−	4.21786i	−0.108968	−	0.244745i
$298$	−0.00258316	+	0.00232588i	−0.000149638	+	0.000134735i
$299$	−7.23808	−	12.5367i	−0.418589	−	0.725017i
$300$	−3.59924	−	3.43159i	−0.207802	−	0.198123i
$301$	−18.3191	−	0.907695i	−1.05589	−	0.0523186i
$302$	−0.792885	−	0.257624i	−0.0456254	−	0.0148246i
$303$	4.77962	+	0.502358i	0.274582	+	0.0288597i
$304$	5.72326	−	2.54816i	0.328251	−	0.146147i
$305$	−9.34844	+	1.84816i	−0.535290	+	0.105825i
$306$	5.59865	+	2.49268i	0.320054	+	0.142497i
$307$		−	20.7738i		−	1.18562i	−0.805341	−	0.592811i	$-0.798018\pi$
$307$		−	20.7738i		−	1.18562i	0.805341	−	0.592811i	$-0.201982\pi$
$308$	5.48485	−	10.8409i	0.312528	−	0.617719i
$309$	−5.73375	−	17.6467i	−0.326182	−	1.00388i
$310$	2.12694	−	0.657707i	0.120802	−	0.0373552i
$311$	−6.78739	−	7.53816i	−0.384878	−	0.427450i	0.519310	−	0.854586i	$-0.326189\pi$
$311$	−6.78739	−	7.53816i	−0.384878	−	0.427450i	−0.904187	+	0.427136i	$0.859523\pi$
$312$	−2.82995	+	13.3139i	−0.160214	+	0.753749i
$313$	−2.93979	−	2.64700i	−0.166167	−	0.149617i	0.581852	−	0.813294i	$-0.302328\pi$
$313$	−2.93979	−	2.64700i	−0.166167	−	0.149617i	−0.748019	+	0.663677i	$0.768995\pi$
$314$	1.82317	−	5.61114i	0.102887	−	0.316655i
$315$	−4.13530	−	4.23075i	−0.232998	−	0.238376i
$316$	4.51070	+	13.8825i	0.253747	+	0.780952i
$317$	−3.27272	+	7.35066i	−0.183815	+	0.412854i	−0.981825	−	0.189790i	$-0.939219\pi$
$317$	−3.27272	+	7.35066i	−0.183815	+	0.412854i	0.798010	+	0.602644i	$0.205886\pi$
$318$	−1.37925	−	0.796313i	−0.0773447	−	0.0446550i
$319$	−2.15278	−	20.4823i	−0.120532	−	1.14679i
$320$	−5.07581	+	14.8956i	−0.283746	+	0.832688i
$321$	−10.3997	−	7.55583i	−0.580455	−	0.421725i
$322$	−3.05861	−	7.90054i	−0.170449	−	0.440280i
$323$	−35.6469	−	11.5824i	−1.98345	−	0.644460i
$324$	−0.497296	−	0.861343i	−0.0276276	−	0.0478524i
$325$	21.7469	−	6.38643i	1.20630	−	0.354255i
$326$	−0.708842	+	1.22775i	−0.0392591	+	0.0679988i
$327$	2.42316	+	11.4001i	0.134001	+	0.630426i
$328$	−11.5741	+	15.9303i	−0.639071	+	0.879606i
$329$	−0.0204940	+	0.131825i	−0.00112987	+	0.00726776i
$330$	10.0939	+	2.29644i	0.555652	+	0.126415i
$331$	6.46965	+	2.88047i	0.355604	+	0.158325i	0.576761	−	0.816913i	$-0.304317\pi$
$331$	6.46965	+	2.88047i	0.355604	+	0.158325i	−0.221157	+	0.975238i	$0.570983\pi$
$332$	3.57829	+	2.06593i	0.196384	+	0.113382i
$333$	−3.05152	+	0.320728i	−0.167222	+	0.0175758i
$334$	−10.2818	+	11.4190i	−0.562593	+	0.624823i
$335$	14.8608	−	1.34799i	0.811934	−	0.0736486i
$336$	−0.961433	+	2.52612i	−0.0524505	+	0.137811i
$337$	−13.3022	+	4.32216i	−0.724618	+	0.235443i	−0.648024	−	0.761620i	$-0.724405\pi$
$337$	−13.3022	+	4.32216i	−0.724618	+	0.235443i	−0.0765940	+	0.997062i	$0.524405\pi$
$338$	−5.62484	−	5.06463i	−0.305951	−	0.275479i
$339$	10.0833	+	11.1986i	0.547649	+	0.608225i
$340$	11.8675	−	6.62792i	0.643607	−	0.359449i
$341$	3.06763	−	3.40695i	0.166122	−	0.184497i
$342$	−3.61428	−	4.97463i	−0.195438	−	0.268997i
$343$	2.74064	−	18.3164i	0.147981	−	0.988990i
$344$	16.8404	−	12.2353i	0.907974	−	0.659682i
$345$	−5.83630	+	4.11446i	−0.314216	+	0.221515i
$346$	−11.1233	+	4.95242i	−0.597993	+	0.266244i
$347$	0.726995	+	1.63286i	0.0390271	+	0.0876564i	0.932007	−	0.362440i	$-0.118056\pi$
$347$	0.726995	+	1.63286i	0.0390271	+	0.0876564i	−0.892980	+	0.450096i	$0.851390\pi$
$348$	−0.922415	−	4.33962i	−0.0494466	−	0.232628i
$349$	−0.775650			−0.0415196			−0.0207598	−	0.999784i	$-0.506609\pi$
$349$	−0.775650			−0.0415196			−0.0207598	+	0.999784i	$0.506609\pi$
$350$	13.1501	−	1.73809i	0.702903	−	0.0929049i
$351$	4.53306			0.241957
$352$	4.78143	+	22.4948i	0.254851	+	1.19898i
$353$	−6.77642	−	15.2201i	−0.360672	−	0.810083i	−0.999181	−	0.0404685i	$-0.987115\pi$
$353$	−6.77642	−	15.2201i	−0.360672	−	0.810083i	0.638508	−	0.769615i	$-0.279552\pi$
$354$	10.2003	−	4.54148i	0.542142	−	0.241377i
$355$	29.0402	+	21.7383i	1.54129	+	1.15375i
$356$	4.36431	−	3.17086i	0.231308	−	0.168055i
$357$	14.3873	−	7.38244i	0.761457	−	0.390720i
$358$	5.78049	+	7.95617i	0.305509	+	0.420496i
$359$	4.03022	−	4.47601i	0.212707	−	0.236235i	−0.627344	−	0.778742i	$-0.715858\pi$
$359$	4.03022	−	4.47601i	0.212707	−	0.236235i	0.840051	+	0.542507i	$0.182525\pi$
$360$	6.66672	+	0.796967i	0.351367	+	0.0420039i
$361$	12.4503	+	13.8275i	0.655279	+	0.727761i
$362$	−19.1352	−	17.2294i	−1.00572	−	0.905556i
$363$	9.81196	−	3.18810i	0.514994	−	0.167332i
$364$	7.53324	+	9.24874i	0.394849	+	0.484765i
$365$	−23.3299	+	20.4115i	−1.22114	+	1.06839i
$366$	2.85931	−	3.17559i	0.149459	−	0.165991i
$367$	−0.622078	+	0.0653830i	−0.0324722	+	0.00341297i	−0.120751	−	0.992683i	$-0.538530\pi$
$367$	−0.622078	+	0.0653830i	−0.0324722	+	0.00341297i	0.0882784	+	0.996096i	$0.471863\pi$
$368$	2.82536	+	1.63122i	0.147282	+	0.0850333i
$369$	5.99086	+	2.66730i	0.311872	+	0.138854i
$370$	3.52437	−	5.90819i	0.183223	−	0.307152i
$371$	−3.91892	+	1.51717i	−0.203460	+	0.0787673i
$372$	0.580489	−	0.798975i	0.0300970	−	0.0414249i
$373$	1.15392	+	5.42879i	0.0597479	+	0.281092i	0.997872	−	0.0652083i	$-0.0207712\pi$
$373$	1.15392	+	5.42879i	0.0597479	+	0.281092i	−0.938124	+	0.346300i	$0.887438\pi$
$374$	−14.1477	+	24.5045i	−0.731560	+	1.26710i
$375$	−4.10649	−	10.3989i	−0.212058	−	0.536996i
$376$	−0.0757032	−	0.131122i	−0.00390409	−	0.00676209i
$377$	19.2309	+	6.24849i	0.990441	+	0.321814i
$378$	2.62141	+	0.407532i	0.134831	+	0.0209612i
$379$	4.35814	+	3.16637i	0.223863	+	0.162646i	0.694064	−	0.719914i	$-0.255819\pi$
$379$	4.35814	+	3.16637i	0.223863	+	0.162646i	−0.470201	+	0.882559i	$0.655819\pi$
$380$	−13.6370	−	0.194472i	−0.699563	−	0.00997622i
$381$	−1.79289	−	17.0582i	−0.0918526	−	0.873919i
$382$	−14.9975	−	8.65884i	−0.767341	−	0.443025i
$383$	−8.30655	+	18.6568i	−0.424445	+	0.953319i	0.567111	+	0.823641i	$0.308061\pi$
$383$	−8.30655	+	18.6568i	−0.424445	+	0.953319i	−0.991556	+	0.129678i	$0.958606\pi$
$384$	0.897803	+	2.76315i	0.0458158	+	0.141007i
$385$	21.4222	−	16.9464i	1.09178	−	0.863668i
$386$	−3.73381	+	11.4915i	−0.190046	+	0.584901i
$387$	−5.15181	−	4.63871i	−0.261881	−	0.235799i
$388$	−1.28851	+	6.06197i	−0.0654143	+	0.307750i
$389$	−16.6613	−	18.5042i	−0.844759	−	0.938200i	0.153996	−	0.988071i	$-0.450786\pi$
$389$	−16.6613	−	18.5042i	−0.844759	−	0.938200i	−0.998756	+	0.0498712i	$0.984119\pi$
$390$	−6.09064	+	8.13649i	−0.308412	+	0.412007i
$391$	−6.03153	−	18.5631i	−0.305027	−	0.938778i
$392$	10.6130	+	18.1425i	0.536037	+	0.916337i
$393$		−	2.95962i		−	0.149293i
$394$	4.53783	+	2.02037i	0.228612	+	0.101785i
$395$	−3.89536	+	32.5852i	−0.195997	+	1.63954i
$396$	4.19505	−	1.86776i	0.210809	−	0.0938584i
$397$	−21.7975	−	2.29101i	−1.09399	−	0.114983i	−0.459695	−	0.888077i	$-0.652041\pi$
$397$	−21.7975	−	2.29101i	−1.09399	−	0.114983i	−0.634291	+	0.773095i	$0.718708\pi$
$398$	13.7378	+	4.46367i	0.688612	+	0.223744i
$399$	−16.2050	−	0.802945i	−0.811265	−	0.0401975i
$400$	−3.52477	+	3.69697i	−0.176239	+	0.184849i
$401$	−10.1741	−	17.6220i	−0.508069	−	0.880001i	−0.999956	−	0.00934220i	$-0.997026\pi$
$401$	−10.1741	−	17.6220i	−0.508069	−	0.880001i	0.491888	−	0.870659i	$-0.336307\pi$
$402$	−4.97258	+	4.47733i	−0.248010	+	0.223309i
$403$	1.83077	+	4.11198i	0.0911973	+	0.204833i
$404$	−0.499642	+	4.75377i	−0.0248581	+	0.236509i
$405$	−0.201999	−	2.22693i	−0.0100374	−	0.110657i
$406$	10.5592	+	5.34232i	0.524045	+	0.265135i
$407$		−	14.1666i		−	0.702210i
$408$	−7.46457	+	16.7657i	−0.369551	+	0.830025i
$409$	−28.2859	−	6.01235i	−1.39865	−	0.297292i	−0.553956	−	0.832546i	$-0.686883\pi$
$409$	−28.2859	−	6.01235i	−1.39865	−	0.297292i	−0.844691	+	0.535254i	$0.820216\pi$
$410$	−12.8370	+	7.16933i	−0.633973	+	0.354068i
$411$	12.1959	−	2.59233i	0.601582	−	0.127870i
$412$	17.5513	−	5.70275i	0.864688	−	0.280954i
$413$	7.54416	−	28.4797i	0.371224	−	1.40140i
$414$	0.989500	−	3.04537i	0.0486313	−	0.149672i
$415$	5.35242	+	7.59232i	0.262740	+	0.372692i
$416$	−22.0857	−	4.69447i	−1.08284	−	0.230165i
$417$	−7.41121	+	0.778950i	−0.362929	+	0.0381453i
$418$	24.5865	−	14.1950i	1.20256	−	0.694300i
$419$	1.25427	−	0.911282i	0.0612752	−	0.0445190i	−0.556726	−	0.830696i	$-0.687943\pi$
$419$	1.25427	−	0.911282i	0.0612752	−	0.0445190i	0.618001	+	0.786177i	$0.287943\pi$
$420$	4.20788	−	4.11294i	0.205323	−	0.200691i
$421$	16.2821	+	11.8297i	0.793543	+	0.576543i	0.909013	−	0.416768i	$-0.136837\pi$
$421$	16.2821	+	11.8297i	0.793543	+	0.576543i	−0.115470	+	0.993311i	$0.536837\pi$
$422$	−5.79111	−	0.608670i	−0.281907	−	0.0296296i
$423$	−0.0374722	+	0.0337401i	−0.00182196	+	0.00164050i
$424$	2.38463	−	4.13031i	0.115808	−	0.200585i
$425$	30.4713	−	2.32643i	1.47807	−	0.112848i
$426$	−16.2665			−0.788117
$427$	−1.79559	−	11.1314i	−0.0868948	−	0.538687i
$428$	7.51497	−	10.3435i	0.363250	−	0.499971i
$429$	−2.18770	+	20.8146i	−0.105623	+	1.00494i
$430$	15.2481	−	3.01451i	0.735331	−	0.145372i
$431$	3.67462	+	34.9616i	0.177000	+	1.68404i	0.617720	+	0.786398i	$0.288057\pi$
$431$	3.67462	+	34.9616i	0.177000	+	1.68404i	−0.440720	+	0.897645i	$0.645277\pi$
$432$	−0.884731	+	0.510800i	−0.0425666	+	0.0245759i
$433$	0.353107	+	0.486010i	0.0169693	+	0.0233562i	0.817417	−	0.576046i	$-0.195405\pi$
$433$	0.353107	+	0.486010i	0.0169693	+	0.0233562i	−0.800448	+	0.599402i	$0.795405\pi$
$434$	0.689035	+	2.54250i	0.0330748	+	0.122044i
$435$	2.21270	−	9.72588i	0.106091	−	0.466320i
$436$	−11.3384	+	2.41006i	−0.543013	+	0.115421i
$437$	−4.07168	+	19.1558i	−0.194775	+	0.916344i
$438$	2.89006	−	13.5967i	0.138093	−	0.649674i
$439$	−16.9933	+	3.61203i	−0.811044	+	0.172393i	−0.594724	−	0.803930i	$-0.702739\pi$
$439$	−16.9933	+	3.61203i	−0.811044	+	0.172393i	−0.216320	+	0.976322i	$0.569405\pi$
$440$	−6.87689	+	30.2272i	−0.327843	+	1.44102i
$441$	5.17522	−	4.71350i	0.246439	−	0.224452i
$442$	−16.3291	−	22.4751i	−0.776698	−	1.06903i
$443$	−18.0657	+	10.4302i	−0.858325	+	0.495554i	−0.863451	−	0.504432i	$-0.831702\pi$
$443$	−18.0657	+	10.4302i	−0.858325	+	0.495554i	0.00512572	+	0.999987i	$0.498368\pi$
$444$	−0.318994	−	3.03502i	−0.0151388	−	0.144036i
$445$	11.8980	−	2.35219i	0.564017	−	0.111504i
$446$	0.657594	−	6.25659i	0.0311380	−	0.296258i
$447$	−0.00203763	+	0.00280455i	−9.63765e−5	+	0.000132651i
$448$	−17.4021	−	6.62317i	−0.822171	−	0.312915i
$449$	27.7286			1.30860			0.654298	−	0.756237i	$-0.272964\pi$
$449$	27.7286			1.30860			0.654298	+	0.756237i	$0.272964\pi$
$450$	4.26857	+	2.62954i	0.201222	+	0.123958i
$451$	−15.1388	+	26.2211i	−0.712857	+	1.23471i
$452$	−11.1381	+	10.0288i	−0.523891	+	0.471713i
$453$	−0.826889	−	0.0869096i	−0.0388506	−	0.00408337i
$454$	19.3012	+	14.0232i	0.905852	+	0.658140i
$455$	6.64501	+	25.9816i	0.311523	+	1.21804i
$456$	14.8970	−	10.8233i	0.697616	−	0.506848i
$457$	10.2672	−	5.92778i	0.480280	−	0.277290i	−0.240253	−	0.970710i	$-0.577230\pi$
$457$	10.2672	−	5.92778i	0.480280	−	0.277290i	0.720533	+	0.693420i	$0.243897\pi$
$458$	−7.59993	+	0.798785i	−0.355121	+	0.0373248i
$459$	5.97843	+	1.27075i	0.279049	+	0.0593137i
$460$	−4.09221	−	5.80474i	−0.190800	−	0.270647i
$461$	−3.72509	+	11.4647i	−0.173495	+	0.533962i	−0.999562	−	0.0296103i	$-0.990573\pi$
$461$	−3.72509	+	11.4647i	−0.173495	+	0.533962i	0.826067	+	0.563572i	$0.190573\pi$
$462$	−3.13639	+	11.8401i	−0.145918	+	0.550852i
$463$	32.9503	−	10.7062i	1.53133	−	0.497560i	0.582363	−	0.812929i	$-0.302128\pi$
$463$	32.9503	−	10.7062i	1.53133	−	0.497560i	0.948969	+	0.315369i	$0.102128\pi$
$464$	−4.45745	+	0.947461i	−0.206932	+	0.0439848i
$465$	1.93849	−	1.08263i	0.0898952	−	0.0502057i
$466$	12.2649	+	2.60700i	0.568163	+	0.120767i
$467$	5.77394	−	12.9685i	0.267186	−	0.600110i	−0.729270	−	0.684226i	$-0.760140\pi$
$467$	5.77394	−	12.9685i	0.267186	−	0.600110i	0.996456	+	0.0841166i	$0.0268068\pi$
$468$			4.50854i			0.208408i
$469$	0.974297	+	17.6289i	0.0449889	+	0.814025i
$470$	−0.0102131	−	0.112593i	−0.000471093	−	0.00519354i
$471$	0.615047	−	5.85178i	0.0283399	−	0.269636i
$472$	13.5999	+	30.5459i	0.625986	+	1.40599i
$473$	23.7860	−	21.4170i	1.09368	−	0.984756i
$474$	−7.35795	−	12.7444i	−0.337962	−	0.585367i
$475$	−27.6442	−	13.2651i	−1.26840	−	0.608645i
$476$	7.34252	+	14.3095i	0.336544	+	0.655875i
$477$	−1.51060	−	0.490823i	−0.0691656	−	0.0224733i
$478$	27.9096	+	2.93342i	1.27656	+	0.134172i
$479$	2.29865	−	1.02343i	0.105028	−	0.0467615i	−0.353550	−	0.935416i	$-0.615026\pi$
$479$	2.29865	−	1.02343i	0.105028	−	0.0467615i	0.458578	+	0.888654i	$0.348359\pi$
$480$	−1.32205	+	11.0591i	−0.0603431	+	0.504777i
$481$	12.7064	+	5.65727i	0.579363	+	0.257949i
$482$		−	9.78330i		−	0.445617i
$483$	−4.62190	−	7.07288i	−0.210304	−	0.321827i
$484$	3.17086	+	9.75891i	0.144130	+	0.443587i
$485$	−8.34960	+	11.1542i	−0.379136	+	0.506487i
$486$	0.670937	+	0.745151i	0.0304343	+	0.0338007i
$487$	−0.959271	+	4.51301i	−0.0434687	+	0.204504i	−0.994523	−	0.104520i	$-0.966669\pi$
$487$	−0.959271	+	4.51301i	−0.0434687	+	0.204504i	0.951054	+	0.309025i	$0.100003\pi$
$488$	9.50959	+	8.56247i	0.430479	+	0.387605i
$489$	−0.436909	+	1.34467i	−0.0197577	+	0.0608079i
$490$	1.50692	+	15.6222i	0.0680756	+	0.705740i
$491$	−2.05516	−	6.32515i	−0.0927483	−	0.285450i	0.893912	−	0.448242i	$-0.147950\pi$
$491$	−2.05516	−	6.32515i	−0.0927483	−	0.285450i	−0.986660	+	0.162793i	$0.947950\pi$
$492$	−2.65288	+	5.95847i	−0.119601	+	0.268628i
$493$	23.6110	+	13.6318i	1.06339	+	0.613947i
$494$	2.91359	+	27.7210i	0.131089	+	1.24723i
$495$	10.3229	+	0.147212i	0.463981	+	0.00661667i
$496$	−0.820670	−	0.596251i	−0.0368492	−	0.0267725i
$497$	−26.9161	+	33.4330i	−1.20735	+	1.49968i
$498$	−3.96166	−	1.28722i	−0.177526	−	0.0576817i
$499$	−13.2755	−	22.9938i	−0.594292	−	1.02934i	−0.993646	−	0.112547i	$-0.964099\pi$
$499$	−13.2755	−	22.9938i	−0.594292	−	1.02934i	0.399354	−	0.916797i	$-0.369234\pi$
$500$	10.3427	−	4.08429i	0.462538	−	0.182655i
$501$	−7.66224	+	13.2714i	−0.342323	+	0.592922i
$502$	2.86487	+	13.4781i	0.127865	+	0.601559i
$503$	11.8282	−	16.2801i	0.527392	−	0.725893i	−0.459338	−	0.888262i	$-0.651913\pi$
$503$	11.8282	−	16.2801i	0.527392	−	0.725893i	0.986730	+	0.162369i	$0.0519133\pi$
$504$	−1.22039	+	7.85004i	−0.0543606	+	0.349669i
$505$	−5.50537	+	9.22911i	−0.244986	+	0.410690i
$506$	13.5060	+	6.01324i	0.600413	+	0.267321i
$507$	−6.53727	−	3.77429i	−0.290330	−	0.167622i
$508$	16.9660	−	1.78320i	0.752744	−	0.0791165i
$509$	14.2968	−	15.8782i	0.633695	−	0.703790i	−0.337701	−	0.941253i	$-0.609649\pi$
$509$	14.2968	−	15.8782i	0.633695	−	0.703790i	0.971396	+	0.237463i	$0.0763160\pi$
$510$	−10.3136	+	9.02343i	−0.456692	+	0.399564i
$511$	−23.1634	−	28.4383i	−1.02469	−	1.25804i
$512$	10.6743	−	3.46830i	0.471743	−	0.153279i
$513$	−4.55728	−	4.10340i	−0.201209	−	0.181169i
$514$	5.41457	+	6.01349i	0.238826	+	0.265243i
$515$	41.1965	+	4.92480i	1.81533	+	0.217012i
$516$	4.61363	−	5.12395i	0.203104	−	0.225570i
$517$	−0.136841	−	0.188345i	−0.00601826	−	0.00828343i
$518$	6.83936	+	4.41386i	0.300504	+	0.193934i
$519$	−9.82405	+	7.13759i	−0.431228	+	0.313305i
$520$	−24.3655	−	18.2390i	−1.06850	−	0.799833i
$521$	−23.2262	+	10.3410i	−1.01756	+	0.453046i	−0.846598	−	0.532232i	$-0.821353\pi$
$521$	−23.2262	+	10.3410i	−1.01756	+	0.453046i	−0.170959	+	0.985278i	$0.554687\pi$
$522$	1.81922	+	4.08604i	0.0796253	+	0.178841i
$523$	8.08062	+	38.0163i	0.353341	+	1.66234i	0.692356	+	0.721556i	$0.256573\pi$
$523$	8.08062	+	38.0163i	0.353341	+	1.66234i	−0.339015	+	0.940781i	$0.610094\pi$
$524$	2.94361			0.128592
$525$	12.4677	−	4.42223i	0.544136	−	0.193002i
$526$	5.62861			0.245419
$527$	1.26180	+	5.93632i	0.0549650	+	0.258590i
$528$	−1.91847	−	4.30896i	−0.0834909	−	0.187524i
$529$	11.6950	−	5.20695i	0.508478	−	0.226389i
$530$	2.91064	−	2.05194i	0.126430	−	0.0891305i
$531$	9.00889	−	6.54534i	0.390952	−	0.284044i
$532$	0.798603	−	16.1174i	0.0346239	−	0.698777i
$533$	−17.4730	−	24.0496i	−0.756842	−	1.04170i
$534$	−3.63910	+	4.04163i	−0.157479	+	0.174899i
$535$	25.0955	−	14.0156i	1.08497	−	0.605948i
$536$	−13.4078	−	14.8908i	−0.579128	−	0.643187i
$537$	7.28868	+	6.56275i	0.314530	+	0.283204i
$538$	5.12293	−	1.66454i	0.220865	−	0.0717634i
$539$	19.1455	+	26.0380i	0.824656	+	1.12154i
$540$	2.21488	−	0.200907i	0.0953134	−	0.00864566i
$541$	−12.3173	+	13.6798i	−0.529562	+	0.588139i	−0.947267	−	0.320444i	$-0.896168\pi$
$541$	−12.3173	+	13.6798i	−0.529562	+	0.588139i	0.417705	+	0.908583i	$0.362835\pi$
$542$	−18.0015	+	1.89203i	−0.773231	+	0.0812698i
$543$	−22.2392	−	12.8398i	−0.954374	−	0.551008i
$544$	−27.8118	−	12.3826i	−1.19242	−	0.530900i
$545$	−25.4115	−	5.78129i	−1.08851	−	0.247643i
$546$	−9.36728	−	7.54135i	−0.400882	−	0.322740i
$547$	11.0352	−	15.1886i	0.471829	−	0.649417i	−0.505080	−	0.863073i	$-0.668537\pi$
$547$	11.0352	−	15.1886i	0.471829	−	0.649417i	0.976909	+	0.213656i	$0.0685370\pi$
$548$	2.57831	+	12.1300i	0.110140	+	0.518168i
$549$	2.13083	−	3.69071i	0.0909418	−	0.157516i
$550$	−14.1342	+	18.3311i	−0.602684	+	0.781640i
$551$	−13.6774	−	23.6900i	−0.582678	−	1.00923i
$552$	9.11963	+	2.96315i	0.388157	+	0.126120i
$553$	−38.3689	−	5.96495i	−1.63161	−	0.253655i
$554$	−13.0280	−	9.46539i	−0.553506	−	0.402146i
$555$	2.21299	−	6.49430i	0.0939364	−	0.275668i
$556$	−0.774738	−	7.37114i	−0.0328562	−	0.312606i
$557$	−19.2595	−	11.1195i	−0.816051	−	0.471148i	0.0330015	−	0.999455i	$-0.489493\pi$
$557$	−19.2595	−	11.1195i	−0.816051	−	0.471148i	−0.849053	+	0.528308i	$0.822827\pi$
$558$	−0.404962	+	0.909560i	−0.0171434	+	0.0385048i
$559$	9.71091	+	29.8871i	0.410728	+	1.26409i
$560$	−4.22462	−	4.32213i	−0.178523	−	0.182643i
$561$	−8.72021	+	26.8381i	−0.368168	+	1.13310i
$562$	12.5324	+	11.2842i	0.528647	+	0.475996i
$563$	1.40805	−	6.62435i	0.0593422	−	0.279183i	−0.938465	−	0.345375i	$-0.887752\pi$
$563$	1.40805	−	6.62435i	0.0593422	−	0.279183i	0.997807	+	0.0661920i	$0.0210850\pi$
$564$	−0.0335577	−	0.0372696i	−0.00141303	−	0.00156933i
$565$	−32.1918	+	9.95456i	−1.35432	+	0.418792i
$566$	−1.64659	−	5.06767i	−0.0692112	−	0.213010i
$567$	2.64172	−	0.146000i	0.110942	−	0.00613144i
$568$		−	48.7117i		−	2.04390i
$569$	−9.25855	−	4.12217i	−0.388138	−	0.172810i	0.203384	−	0.979099i	$-0.434806\pi$
$569$	−9.25855	−	4.12217i	−0.388138	−	0.172810i	−0.591522	+	0.806289i	$0.701473\pi$
$570$	13.4885	−	2.66663i	0.564970	−	0.111693i
$571$	−23.4906	+	10.4587i	−0.983051	+	0.437683i	−0.834371	−	0.551203i	$-0.814169\pi$
$571$	−23.4906	+	10.4587i	−0.983051	+	0.437683i	−0.148680	+	0.988885i	$0.547502\pi$
$572$	−20.7020	−	2.17587i	−0.865595	−	0.0909777i
$573$	−16.4257	−	5.33705i	−0.686195	−	0.222958i
$574$	−7.94232	−	15.4784i	−0.331506	−	0.646057i
$575$	−2.87308	−	15.7067i	−0.119816	−	0.655016i
$576$	−3.51882	−	6.09478i	−0.146618	−	0.253949i
$577$	27.4855	−	24.7481i	1.14424	−	1.03028i	0.145072	−	0.989421i	$-0.453659\pi$
$577$	27.4855	−	24.7481i	1.14424	−	1.03028i	0.999165	−	0.0408548i	$-0.0130081\pi$
$578$	−8.30205	−	18.6467i	−0.345320	−	0.775601i
$579$	−1.25960	+	11.9843i	−0.0523472	+	0.498051i
$580$	9.67329	+	2.20074i	0.401661	+	0.0913807i
$581$	−9.20096	+	6.01254i	−0.381720	+	0.249442i
$582$		−	6.24792i		−	0.258984i
$583$	2.98276	−	6.69939i	0.123533	−	0.277460i
$584$	40.7165	+	8.65456i	1.68486	+	0.358128i
$585$	−4.25439	+	9.20017i	−0.175897	+	0.380380i
$586$	−4.12684	+	0.877186i	−0.170478	+	0.0362362i
$587$	21.2794	−	6.91410i	0.878295	−	0.285375i	0.165046	−	0.986286i	$-0.447223\pi$
$587$	21.2794	−	6.91410i	0.878295	−	0.285375i	0.713249	+	0.700911i	$0.247223\pi$
$588$	4.68802	+	5.14724i	0.193330	+	0.212268i
$589$	1.88168	−	5.79121i	0.0775332	−	0.238623i
$590$	−0.356012	+	24.9646i	−0.0146568	+	1.02778i
$591$	4.84564	+	1.02997i	0.199323	+	0.0423674i
$592$	−3.11743	+	0.327655i	−0.128126	+	0.0134666i
$593$	20.5266	−	11.8511i	0.842928	−	0.486665i	−0.0153301	−	0.999882i	$-0.504880\pi$
$593$	20.5266	−	11.8511i	0.842928	−	0.486665i	0.858259	+	0.513218i	$0.171547\pi$
$594$	−3.74534	+	2.72115i	−0.153673	+	0.111650i
$595$	1.48035	+	36.1287i	0.0606883	+	1.48113i
$596$	−0.00278939	−	0.00202661i	−0.000114258	−	8.30132e-5i
$597$	14.3269	+	1.50582i	0.586363	+	0.0616292i
$598$	−10.7869	+	9.71259i	−0.441110	+	0.397177i
$599$	11.5983	−	20.0889i	0.473894	−	0.820809i	−0.525659	−	0.850695i	$-0.676181\pi$
$599$	11.5983	−	20.0889i	0.473894	−	0.820809i	0.999553	+	0.0298866i	$0.00951460\pi$
$600$	−7.87440	+	12.7826i	−0.321471	+	0.521849i
$601$	−35.0375			−1.42921			−0.714604	−	0.699529i	$-0.753393\pi$
$601$	−35.0375			−1.42921			−0.714604	+	0.699529i	$0.753393\pi$
$602$	2.92877	+	18.1563i	0.119368	+	0.739997i
$603$	−3.92244	+	5.39877i	−0.159734	+	0.219855i
$604$	0.0864396	−	0.822418i	0.00351718	−	0.0334637i
$605$	−2.73830	+	22.9062i	−0.111328	+	0.931270i
$606$	−0.503714	−	4.79252i	−0.0204620	−	0.194683i
$607$	−19.4458	+	11.2271i	−0.789283	+	0.455693i	−0.839710	−	0.543035i	$-0.817275\pi$
$607$	−19.4458	+	11.2271i	−0.789283	+	0.455693i	0.0504273	+	0.998728i	$0.483942\pi$
$608$	17.9543	+	24.7119i	0.728142	+	1.00220i
$609$	11.4084	+	3.02204i	0.462292	+	0.122459i
$610$	3.76155	+	8.78355i	0.152301	+	0.355636i
$611$	0.223579	−	0.0475232i	0.00904504	−	0.00192258i
$612$	−1.26388	+	5.94610i	−0.0510894	+	0.240357i
$613$	−8.55976	+	40.2705i	−0.345725	+	1.62651i	0.370634	+	0.928779i	$0.379140\pi$
$613$	−8.55976	+	40.2705i	−0.345725	+	1.62651i	−0.716360	+	0.697731i	$0.754193\pi$
$614$	−20.3747	+	4.33077i	−0.822256	+	0.174776i
$615$	−11.0361	+	9.65555i	−0.445017	+	0.389350i
$616$	−35.4563	−	9.39222i	−1.42858	−	0.378423i
$617$	−9.67886	−	13.3218i	−0.389656	−	0.536316i	0.568454	−	0.822715i	$-0.307542\pi$
$617$	−9.67886	−	13.3218i	−0.389656	−	0.536316i	−0.958110	+	0.286399i	$0.907542\pi$
$618$	−16.1123	+	9.30245i	−0.648133	+	0.374200i
$619$	−3.24655	−	30.8889i	−0.130490	−	1.24153i	−0.842242	−	0.539099i	$-0.818765\pi$
$619$	−3.24655	−	30.8889i	−0.130490	−	1.24153i	0.711752	−	0.702431i	$-0.247902\pi$
$620$	1.07677	+	1.92801i	0.0432443	+	0.0774306i
$621$	0.333808	−	3.17597i	0.0133953	−	0.127447i
$622$	−5.97836	+	8.22850i	−0.239710	+	0.329933i
$623$	2.28529	+	14.1672i	0.0915581	+	0.567596i
$624$	4.63096			0.185387
$625$	24.9593	+	1.42519i	0.998374	+	0.0570078i
$626$	−1.98328	+	3.43514i	−0.0792678	+	0.137296i
$627$	21.0411	−	18.9455i	0.840300	−	0.756609i
$628$	5.82014	+	0.611721i	0.232249	+	0.0244103i
$629$	15.1720	+	11.0231i	0.604947	+	0.439520i
$630$	−3.28737	+	4.93786i	−0.130972	+	0.196729i
$631$	−2.56297	+	1.86210i	−0.102030	+	0.0741292i	−0.637631	−	0.770342i	$-0.720085\pi$
$631$	−2.56297	+	1.86210i	−0.102030	+	0.0741292i	0.535600	+	0.844472i	$0.320085\pi$
$632$	38.1641	−	22.0341i	1.51809	−	0.876469i
$633$	−5.77551	+	0.607031i	−0.229556	+	0.0241273i
$634$	7.89172	+	1.67744i	0.313420	+	0.0666195i
$635$	36.3036	+	12.3708i	1.44066	+	0.490919i
$636$	0.488169	−	1.50243i	0.0193572	−	0.0595753i
$637$	−30.9999	+	6.77421i	−1.22826	+	0.268404i
$638$	−19.6400	+	6.38142i	−0.777555	+	0.252643i
$639$	−15.8682	+	3.37290i	−0.627738	+	0.133430i
$640$	−6.45063	−	0.771135i	−0.254984	−	0.0304818i
$641$	30.8155	+	6.55003i	1.21714	+	0.258710i	0.771340	−	0.636423i	$-0.219587\pi$
$641$	30.8155	+	6.55003i	1.21714	+	0.258710i	0.445797	+	0.895134i	$0.352920\pi$
$642$	−5.24261	+	11.7751i	−0.206909	+	0.464726i
$643$			3.33537i			0.131534i	0.997835	+	0.0657671i	$0.0209494\pi$
$643$			3.33537i			0.131534i	−0.997835	+	0.0657671i	$0.979051\pi$
$644$	7.03463	−	4.59691i	0.277203	−	0.181144i
$645$	14.2497	−	6.10243i	0.561082	−	0.240283i
$646$	−3.92844	+	37.3767i	−0.154563	+	1.47056i
$647$	−4.04543	−	9.08618i	−0.159042	−	0.357215i	0.816394	−	0.577495i	$-0.195970\pi$
$647$	−4.04543	−	9.08618i	−0.159042	−	0.357215i	−0.975437	+	0.220280i	$0.929303\pi$
$648$	−2.23142	+	2.00918i	−0.0876586	+	0.0789282i
$649$	25.7067	+	44.5252i	1.00907	+	1.74777i
$650$	−10.7974	−	19.9977i	−0.423508	−	0.784375i
$651$	1.19935	+	2.33737i	0.0470064	+	0.0916087i
$652$	−1.33740	−	0.434546i	−0.0523765	−	0.0170181i
$653$	−4.31957	−	0.454005i	−0.169038	−	0.0177666i	0.0196313	−	0.999807i	$-0.493751\pi$
$653$	−4.31957	−	0.454005i	−0.169038	−	0.0177666i	−0.188669	+	0.982041i	$0.560417\pi$
$654$	10.6759	−	4.75322i	0.417461	−	0.185866i
$655$	6.00676	+	2.77768i	0.234704	+	0.108533i
$656$	6.12026	+	2.72491i	0.238956	+	0.106390i
$657$		−	13.8630i		−	0.540847i
$658$	0.133565	−	0.00738177i	0.00520691	−	0.000287771i
$659$	−12.9200	−	39.7637i	−0.503292	−	1.54897i	−0.803623	−	0.595139i	$-0.797097\pi$
$659$	−12.9200	−	39.7637i	−0.503292	−	1.54897i	0.300331	−	0.953835i	$-0.402903\pi$
$660$	−0.146416	+	10.2671i	−0.00569922	+	0.399647i
$661$	19.7756	+	21.9630i	0.769180	+	0.854261i	0.992721	−	0.120434i	$-0.0384285\pi$
$661$	19.7756	+	21.9630i	0.769180	+	0.854261i	−0.223541	+	0.974694i	$0.571762\pi$
$662$	1.47639	−	6.94586i	0.0573815	−	0.269959i
$663$	−20.5896	−	18.5389i	−0.799632	−	0.719992i
$664$	3.85470	−	11.8635i	0.149591	−	0.460395i
$665$	16.8385	−	32.1357i	0.652967	−	1.24617i
$666$	0.950727	+	2.92604i	0.0368399	+	0.113382i
$667$	5.79399	−	13.0135i	0.224344	−	0.503885i
$668$	−13.1996	−	7.62080i	−0.510709	−	0.294858i
$669$	−0.655824	−	6.23975i	−0.0253556	−	0.241243i
$670$	−4.42017	−	14.2943i	−0.170766	−	0.552237i
$671$	15.9184	+	11.5654i	0.614523	+	0.446477i
$672$	−13.0221	−	2.02445i	−0.502337	−	0.0780948i
$673$	22.9314	+	7.45087i	0.883941	+	0.287210i	0.715593	−	0.698518i	$-0.246157\pi$
$673$	22.9314	+	7.45087i	0.883941	+	0.287210i	0.168348	+	0.985728i	$0.446157\pi$
$674$	7.01228	+	12.1456i	0.270103	+	0.467832i
$675$	4.70929	+	1.68006i	0.181261	+	0.0646654i
$676$	3.75389	−	6.50192i	0.144380	−	0.250074i
$677$	−6.94201	−	32.6596i	−0.266803	−	1.25521i	−0.883658	−	0.468133i	$-0.844927\pi$
$677$	−6.94201	−	32.6596i	−0.266803	−	1.25521i	0.616855	−	0.787077i	$-0.288407\pi$
$678$	8.88138	−	12.2242i	0.341087	−	0.469467i
$679$	−12.8415	−	10.3384i	−0.492811	−	0.396750i
$680$	−27.0215	−	30.8849i	−1.03623	−	1.18438i
$681$	21.7364	+	9.67765i	0.832939	+	0.370848i
$682$	−3.98102	−	2.29844i	−0.152441	−	0.0880119i
$683$	1.92295	−	0.202110i	0.0735797	−	0.00773354i	−0.0676671	−	0.997708i	$-0.521556\pi$
$683$	1.92295	−	0.202110i	0.0735797	−	0.00773354i	0.141247	+	0.989974i	$0.454889\pi$
$684$	4.08121	−	4.53264i	0.156049	−	0.173310i
$685$	−6.18489	+	27.1855i	−0.236313	+	1.03871i
$686$	−18.5358	+	1.13048i	−0.707701	+	0.0431618i
$687$	−7.24821	+	2.35508i	−0.276536	+	0.0898521i
$688$	−5.26308	−	4.73890i	−0.200653	−	0.180669i
$689$	4.81775	+	5.35066i	0.183542	+	0.203844i
$690$	5.25212	+	4.86642i	0.199945	+	0.185261i
$691$	33.6809	−	37.4064i	1.28128	−	1.42301i	0.426098	−	0.904677i	$-0.359888\pi$
$691$	33.6809	−	37.4064i	1.28128	−	1.42301i	0.855181	−	0.518329i	$-0.173446\pi$
$692$	−7.09900	−	9.77093i	−0.269863	−	0.371435i
$693$	−0.604527	+	12.2005i	−0.0229641	+	0.463460i
$694$	1.44993	−	1.05343i	0.0550385	−	0.0399878i
$695$	5.37468	−	15.7727i	0.203873	−	0.598291i
$696$	−12.2360	+	5.44784i	−0.463806	+	0.206500i
$697$	−16.3025	−	36.6161i	−0.617502	−	1.38693i
$698$	0.161702	+	0.760749i	0.00612052	+	0.0287948i
$699$	12.5052			0.472990
$700$	4.39832	+	12.4003i	0.166241	+	0.468687i
$701$	−7.98683			−0.301658			−0.150829	−	0.988560i	$-0.548194\pi$
$701$	−7.98683			−0.301658			−0.150829	+	0.988560i	$0.548194\pi$
$702$	−0.945020	−	4.44597i	−0.0356675	−	0.167802i
$703$	−7.65329	−	17.1896i	−0.288649	−	0.648317i
$704$	29.6838	−	13.2161i	1.11875	−	0.498100i
$705$	−0.0333094	−	0.107719i	−0.00125450	−	0.00405691i
$706$	−13.5150	+	9.81921i	−0.508643	+	0.369551i
$707$	−10.6837	−	6.89483i	−0.401801	−	0.259307i
$708$	6.50995	+	8.96017i	0.244659	+	0.336744i
$709$	−0.935840	+	1.03936i	−0.0351462	+	0.0390338i	−0.760462	−	0.649383i	$-0.775027\pi$
$709$	−0.935840	+	1.03936i	−0.0351462	+	0.0390338i	0.725315	+	0.688417i	$0.241694\pi$
$710$	15.2666	−	33.0141i	0.572944	−	1.23900i
$711$	−9.82035	−	10.9066i	−0.368292	−	0.409030i
$712$	−12.1031	−	10.8976i	−0.453581	−	0.408406i
$713$	3.01577	−	0.979885i	0.112942	−	0.0366970i
$714$	−10.2400	−	12.5719i	−0.383222	−	0.470490i
$715$	−40.1915	−	23.9751i	−1.50308	−	0.896619i
$716$	−6.52727	+	7.24927i	−0.243935	+	0.270918i
$717$	27.8345	−	2.92552i	1.03950	−	0.109256i
$718$	−5.23021	−	3.01966i	−0.195190	−	0.112693i
$719$	−30.8310	−	13.7269i	−1.14980	−	0.511925i	−0.258804	−	0.965930i	$-0.583328\pi$
$719$	−30.8310	−	13.7269i	−1.14980	−	0.511925i	−0.890999	+	0.454005i	$0.849995\pi$
$720$	−0.206362	−	2.27502i	−0.00769066	−	0.0847852i
$721$	−7.54132	+	48.5087i	−0.280853	+	1.80656i
$722$	10.9663	−	15.0938i	0.408122	−	0.561732i
$723$	−2.02859	−	9.54375i	−0.0754439	−	0.354936i
$724$	12.7704	−	22.1189i	0.474607	−	0.822043i
$725$	17.6627	+	13.6188i	0.655976	+	0.505791i
$726$	−5.17238	−	8.95883i	−0.191965	−	0.332493i
$727$	−26.4905	−	8.60729i	−0.982479	−	0.319227i	−0.226636	−	0.973980i	$-0.572773\pi$
$727$	−26.4905	−	8.60729i	−0.982479	−	0.319227i	−0.755843	+	0.654753i	$0.772773\pi$
$728$	22.5833	−	28.0512i	0.836992	−	1.03965i
$729$	0.809017	+	0.587785i	0.0299636	+	0.0217698i
$730$	24.8831	+	18.6264i	0.920963	+	0.689395i
$731$	4.42898	+	42.1389i	0.163812	+	1.55856i
$732$	3.67076	+	2.11931i	0.135675	+	0.0783320i
$733$	12.9116	−	28.9998i	0.476899	−	1.07113i	−0.501641	−	0.865076i	$-0.667270\pi$
$733$	12.9116	−	28.9998i	0.476899	−	1.07113i	0.978540	−	0.206057i	$-0.0660634\pi$
$734$	0.193813	+	0.596496i	0.00715378	+	0.0220171i
$735$	4.70932	+	14.9272i	0.173706	+	0.550599i
$736$	−4.91543	+	15.1281i	−0.181185	+	0.557630i
$737$	−22.8967	−	20.6163i	−0.843411	−	0.759410i
$738$	1.36713	−	6.43183i	0.0503246	−	0.236759i
$739$	−22.6250	−	25.1276i	−0.832274	−	0.924334i	0.165813	−	0.986157i	$-0.446975\pi$
$739$	−22.6250	−	25.1276i	−0.832274	−	0.924334i	−0.998087	+	0.0618229i	$0.980309\pi$
$740$	6.45919	+	2.20103i	0.237444	+	0.0809114i
$741$	8.59025	+	26.4381i	0.315571	+	0.971227i
$742$	2.30501	+	3.52734i	0.0846195	+	0.129493i
$743$			25.6141i			0.939690i	0.882749	+	0.469845i	$0.155690\pi$
$743$			25.6141i			0.939690i	−0.882749	+	0.469845i	$0.844310\pi$
$744$	−2.72376	−	1.21270i	−0.0998580	−	0.0444596i
$745$	−0.00377968	−	0.00676766i	−0.000138477	−	0.000247948i
$746$	5.08393	−	2.26351i	0.186136	−	0.0828730i
$747$	−4.13156	−	0.434244i	−0.151166	−	0.0158882i
$748$	−26.6929	−	8.67306i	−0.975990	−	0.317119i
$749$	15.5268	+	30.2594i	0.567335	+	1.10565i
$750$	−9.34301	+	6.19549i	−0.341158	+	0.226227i
$751$	16.0847	+	27.8595i	0.586939	+	1.01661i	0.994631	+	0.103488i	$0.0330005\pi$
$751$	16.0847	+	27.8595i	0.586939	+	1.01661i	−0.407692	+	0.913120i	$0.633666\pi$
$752$	−0.0382815	+	0.0344689i	−0.00139598	+	0.00125695i
$753$	5.58943	+	12.5541i	0.203690	+	0.457496i
$754$	2.11933	−	20.1641i	0.0771814	−	0.734332i
$755$	0.952447	−	1.59667i	0.0346631	−	0.0581086i
$756$	0.145211	+	2.62744i	0.00528127	+	0.0955589i
$757$		−	49.9913i		−	1.81696i	−0.417925	−	0.908481i	$-0.637243\pi$
$757$		−	49.9913i		−	1.81696i	0.417925	−	0.908481i	$-0.362757\pi$
$758$	2.19699	−	4.93452i	0.0797982	−	0.179230i
$759$	14.4221	+	3.06551i	0.523489	+	0.111271i
$760$	7.98547	+	40.3925i	0.289663	+	1.46519i
$761$	−21.3252	+	4.53282i	−0.773039	+	0.164315i	−0.577510	−	0.816383i	$-0.695976\pi$
$761$	−21.3252	+	4.53282i	−0.773039	+	0.164315i	−0.195529	+	0.980698i	$0.562642\pi$
$762$	−16.3567	+	5.31462i	−0.592542	+	0.192529i
$763$	7.89590	−	29.8076i	0.285851	−	1.07911i
$764$	5.30819	−	16.3369i	0.192044	−	0.591049i
$765$	−8.19000	+	10.9410i	−0.296110	+	0.395573i
$766$	20.0301	+	4.25753i	0.723716	+	0.153831i
$767$	−50.2017	+	5.27642i	−1.81268	+	0.190520i
$768$	14.7125	−	8.49424i	0.530890	−	0.306510i
$769$	−18.5413	+	13.4711i	−0.668617	+	0.485779i	−0.869562	−	0.493824i	$-0.835599\pi$
$769$	−18.5413	+	13.4711i	−0.668617	+	0.485779i	0.200945	+	0.979603i	$0.435599\pi$
$770$	−21.0868	−	17.4778i	−0.759915	−	0.629856i
$771$	6.52889	+	4.74352i	0.235132	+	0.170834i
$772$	−11.9195	−	1.25279i	−0.428992	−	0.0450889i
$773$	34.7855	−	31.3210i	1.25115	−	1.12654i	0.264374	−	0.964420i	$-0.414835\pi$
$773$	34.7855	−	31.3210i	1.25115	−	1.12654i	0.986772	−	0.162116i	$-0.0518320\pi$
$774$	−3.47558	+	6.01988i	−0.124927	+	0.216380i
$775$	0.377953	+	4.95038i	0.0135765	+	0.177823i
$776$	18.7100			0.671649
$777$	7.58711	+	2.88763i	0.272186	+	0.103593i
$778$	−14.6753	+	20.1988i	−0.526134	+	0.724162i
$779$	−4.20364	+	39.9950i	−0.150611	+	1.43297i
$780$	−9.15042	−	4.23139i	−0.327638	−	0.151508i
$781$	−7.82926	−	74.4905i	−0.280153	−	2.66548i
$782$	−16.9491	+	9.78556i	−0.606098	+	0.349931i
$783$	2.62193	+	3.60877i	0.0937000	+	0.128967i
$784$	5.28700	−	4.81531i	0.188821	−	0.171975i
$785$	11.2994	+	6.74033i	0.403292	+	0.240573i
$786$	−2.90276	+	0.617000i	−0.103538	+	0.0220077i
$787$	5.38712	−	25.3444i	0.192030	−	0.903431i	−0.771583	−	0.636129i	$-0.780535\pi$
$787$	5.38712	−	25.3444i	0.192030	−	0.903431i	0.963613	−	0.267302i	$-0.0861321\pi$
$788$	−1.02440	+	4.81944i	−0.0364929	+	0.171685i
$789$	5.49079	−	1.16710i	0.195477	−	0.0415500i
$790$	32.7712	−	2.97260i	1.16595	−	0.105760i
$791$	−10.4287	−	38.4813i	−0.370803	−	1.36824i
$792$	−8.14872	−	11.2158i	−0.289552	−	0.398534i
$793$	−16.7302	+	9.65919i	−0.594107	+	0.343008i
$794$	2.29720	+	21.8564i	0.0815244	+	0.775653i
$795$	2.41390	−	2.60522i	0.0856122	−	0.0923976i
$796$	−1.49768	+	14.2495i	−0.0530839	+	0.505059i
$797$	10.1928	−	14.0292i	0.361048	−	0.496940i	−0.589392	−	0.807847i	$-0.700633\pi$
$797$	10.1928	−	14.0292i	0.361048	−	0.496940i	0.950440	+	0.310907i	$0.100633\pi$
$798$	2.59079	+	16.0611i	0.0917128	+	0.568556i
$799$	0.308190			0.0109030
$800$	−21.2045	−	13.0625i	−0.749692	−	0.461828i
$801$	−2.71196	+	4.69725i	−0.0958223	+	0.165969i
$802$	−15.1624	+	13.6523i	−0.535404	+	0.482080i
$803$	63.6552	+	6.69043i	2.24634	+	0.236100i
$804$	−5.36958	−	3.90123i	−0.189370	−	0.137586i
$805$	18.6927	−	2.74241i	0.658831	−	0.0966573i
$806$	3.65132	−	2.65284i	0.128612	−	0.0934423i
$807$	4.65234	−	2.68603i	0.163770	−	0.0945527i
$808$	14.3517	−	1.50842i	0.504889	−	0.0530660i
$809$	−20.8785	−	4.43786i	−0.734049	−	0.156027i	−0.174304	−	0.984692i	$-0.555768\pi$
$809$	−20.8785	−	4.43786i	−0.734049	−	0.156027i	−0.559745	+	0.828665i	$0.689101\pi$
$810$	−2.14203	+	0.662372i	−0.0752633	+	0.0232734i
$811$	7.39847	−	22.7701i	0.259795	−	0.799568i	−0.733052	−	0.680173i	$-0.761905\pi$
$811$	7.39847	−	22.7701i	0.259795	−	0.799568i	0.992847	−	0.119395i	$-0.0380954\pi$
$812$	−3.00569	+	11.3467i	−0.105479	+	0.398192i
$813$	−17.1684	+	5.57835i	−0.602122	+	0.195641i
$814$	−13.8944	+	2.95335i	−0.486999	+	0.103515i
$815$	−2.31905	−	2.14874i	−0.0812327	−	0.0752672i
$816$	6.10756	+	1.29820i	0.213807	+	0.0454461i
$817$	17.2915	−	38.8373i	0.604952	−	1.35875i
$818$			28.9959i			1.01382i
$819$	−10.7016	−	5.41437i	−0.373945	−	0.189193i
$820$	−9.60335	−	10.9764i	−0.335363	−	0.383312i
$821$	−1.22497	+	11.6548i	−0.0427518	+	0.406757i	0.952129	+	0.305698i	$0.0988897\pi$
$821$	−1.22497	+	11.6548i	−0.0427518	+	0.406757i	−0.994880	+	0.101059i	$0.967777\pi$
$822$	−5.08505	−	11.4212i	−0.177362	−	0.398360i
$823$	−24.8636	+	22.3873i	−0.866691	+	0.780372i	−0.976936	−	0.213533i	$-0.931503\pi$
$823$	−24.8636	+	22.3873i	−0.866691	+	0.780372i	0.110245	+	0.993904i	$0.464836\pi$
$824$	−27.8571	−	48.2499i	−0.970447	−	1.68086i
$825$	−9.98712	+	20.8130i	−0.347707	+	0.724615i
$826$	−29.5054	−	1.46197i	−1.02662	−	0.0508684i
$827$	34.6526	+	11.2593i	1.20499	+	0.391525i	0.841595	−	0.540110i	$-0.181617\pi$
$827$	34.6526	+	11.2593i	1.20499	+	0.391525i	0.363396	+	0.931635i	$0.381617\pi$
$828$	3.15880	+	0.332003i	0.109776	+	0.0115379i
$829$	−17.1413	+	7.63179i	−0.595341	+	0.265063i	−0.682209	−	0.731157i	$-0.738981\pi$
$829$	−17.1413	+	7.63179i	−0.595341	+	0.265063i	0.0868681	+	0.996220i	$0.472314\pi$
$830$	6.33063	−	6.83238i	0.219739	−	0.237155i
$831$	−14.6716	−	6.53224i	−0.508954	−	0.226601i
$832$			31.9020i			1.10600i
$833$	−42.7832	+	0.243966i	−1.48235	+	0.00845292i
$834$	2.30902	+	7.10644i	0.0799549	+	0.246076i
$835$	−19.7440	−	28.0066i	−0.683270	−	0.969209i
$836$	18.8430	+	20.9273i	0.651700	+	0.723786i
$837$	−0.206447	+	0.971258i	−0.00713586	+	0.0335716i
$838$	−1.15526	−	1.04020i	−0.0399077	−	0.0359330i
$839$	5.68501	−	17.4967i	0.196269	−	0.604052i	−0.803691	−	0.595047i	$-0.797133\pi$
$839$	5.68501	−	17.4967i	0.196269	−	0.604052i	0.999959	−	0.00900540i	$-0.00286655\pi$
$840$	−14.7869	−	9.84435i	−0.510195	−	0.339662i
$841$	−2.81275	−	8.65675i	−0.0969914	−	0.298509i
$842$	8.20801	−	18.4355i	0.282867	−	0.635329i
$843$	14.5653	+	8.40929i	0.501656	+	0.289631i
$844$	−0.603749	−	5.74429i	−0.0207819	−	0.197726i
$845$	13.7956	−	9.72559i	0.474583	−	0.334571i
$846$	0.0409038	+	0.0297184i	0.00140630	+	0.00102174i
$847$	−26.9720	−	4.19315i	−0.926768	−	0.144078i
$848$	−1.54323	−	0.501425i	−0.0529946	−	0.0172190i
$849$	−2.65706	−	4.60216i	−0.0911900	−	0.157946i
$850$	−8.63417	−	29.4009i	−0.296150	−	1.00844i
$851$	4.89931	−	8.48585i	0.167946	−	0.290891i
$852$	−3.35466	−	15.7824i	−0.114929	−	0.540697i
$853$	2.45357	−	3.37704i	0.0840085	−	0.115628i	−0.764944	−	0.644096i	$-0.777234\pi$
$853$	2.45357	−	3.37704i	0.0840085	−	0.115628i	0.848953	+	0.528469i	$0.177234\pi$
$854$	−10.5432	+	4.08170i	−0.360782	+	0.139673i
$855$	12.6053	−	5.39820i	0.431091	−	0.184614i
$856$	−35.2616	−	15.6995i	−1.20522	−	0.536597i
$857$	31.7461	+	18.3286i	1.08443	+	0.626094i	0.932087	−	0.362234i	$-0.117986\pi$
$857$	31.7461	+	18.3286i	1.08443	+	0.626094i	0.152340	+	0.988328i	$0.451319\pi$
$858$	20.8708	−	2.19361i	0.712516	−	0.0748885i
$859$	23.7423	−	26.3685i	0.810076	−	0.899681i	−0.186492	−	0.982456i	$-0.559712\pi$
$859$	23.7423	−	26.3685i	0.810076	−	0.899681i	0.996568	+	0.0827758i	$0.0263785\pi$
$860$	6.06943	+	14.1727i	0.206966	+	0.483284i
$861$	−10.9573	−	13.4526i	−0.373424	−	0.458462i
$862$	33.5239	−	10.8926i	1.14183	−	0.371003i
$863$	−6.07300	−	5.46815i	−0.206727	−	0.186138i	0.559263	−	0.828990i	$-0.311084\pi$
$863$	−6.07300	−	5.46815i	−0.206727	−	0.186138i	−0.765990	+	0.642852i	$0.777751\pi$
$864$	−3.33294	−	3.70160i	−0.113389	−	0.125931i
$865$	−5.26613	−	26.6374i	−0.179054	−	0.905700i
$866$	0.403060	−	0.447644i	0.0136965	−	0.0152115i
$867$	−11.9652	−	16.4687i	−0.406359	−	0.559306i
$868$	−2.32473	+	1.19287i	−0.0789065	+	0.0404886i
$869$	54.8196	−	39.8288i	1.85963	−	1.35110i
$870$	−10.0003	−	0.142611i	−0.339043	−	0.00483496i
$871$	27.6349	−	12.3039i	0.936374	−	0.416901i
$872$	14.2340	+	31.9700i	0.482023	+	1.08264i
$873$	−1.29552	−	6.09493i	−0.0438466	−	0.206282i
$874$	19.6366			0.664217
$875$	−2.72603	+	29.4545i	−0.0921568	+	0.995745i
$876$	13.7880			0.465855
$877$	10.8990	+	51.2759i	0.368034	+	1.73147i	0.639297	+	0.768960i	$0.279226\pi$
$877$	10.8990	+	51.2759i	0.368034	+	1.73147i	−0.271262	+	0.962505i	$0.587441\pi$
$878$	7.08528	+	15.9138i	0.239116	+	0.537064i
$879$	−3.84390	+	1.71141i	−0.129652	+	0.0577246i
$880$	10.5459	+	0.150391i	0.355502	+	0.00506968i
$881$	−12.8108	+	9.30760i	−0.431607	+	0.313581i	−0.782291	−	0.622913i	$-0.785949\pi$
$881$	−12.8108	+	9.30760i	−0.431607	+	0.313581i	0.350684	+	0.936494i	$0.385949\pi$
$882$	−5.70184	−	4.09316i	−0.191991	−	0.137824i
$883$	25.4661	+	35.0511i	0.857004	+	1.17956i	0.982276	+	0.187442i	$0.0600197\pi$
$883$	25.4661	+	35.0511i	0.857004	+	1.17956i	−0.125272	+	0.992122i	$0.539980\pi$
$884$	18.4387	−	20.4782i	0.620160	−	0.688757i
$885$	4.82917	+	24.4272i	0.162331	+	0.821110i
$886$	13.9960	+	15.5442i	0.470206	+	0.522217i
$887$	41.6021	+	37.4587i	1.39686	+	1.25774i	0.927032	+	0.374981i	$0.122351\pi$
$887$	41.6021	+	37.4587i	1.39686	+	1.25774i	0.469828	+	0.882758i	$0.344316\pi$
$888$	−8.76229	+	2.84704i	−0.294043	+	0.0955404i
$889$	−16.1420	+	42.4124i	−0.541386	+	1.42247i
$890$	−4.78740	−	11.1790i	−0.160474	−	0.374721i
$891$	−3.08939	+	3.43112i	−0.103499	+	0.114947i
$892$	6.20601	−	0.652278i	0.207793	−	0.0218399i
$893$	−0.267793	−	0.154610i	−0.00896134	−	0.00517383i
$894$	0.00317547	+	0.00141381i	0.000106203	+	4.72848e-5i
$895$	−20.1602	+	8.63359i	−0.673881	+	0.288589i
$896$	1.18083	−	7.59560i	0.0394489	−	0.253751i
$897$	−8.50887	+	11.7115i	−0.284103	+	0.391034i
$898$	−5.78067	−	27.1959i	−0.192904	−	0.907540i
$899$	−2.21464	+	3.83586i	−0.0738622	+	0.127933i
$900$	−1.67097	+	4.68383i	−0.0556991	+	0.156128i
$901$	4.85395	+	8.40729i	0.161709	+	0.280087i
$902$	28.8734	+	9.38154i	0.961380	+	0.312371i
$903$	6.62181	+	17.1045i	0.220360	+	0.569201i
$904$	36.6064	+	26.5961i	1.21751	+	0.884574i
$905$	46.9313	−	33.0855i	1.56005	−	1.09980i
$906$	0.0871442	+	0.829122i	0.00289517	+	0.0275457i
$907$	34.7704	+	20.0747i	1.15453	+	0.666570i	0.949988	−	0.312287i	$-0.101095\pi$
$907$	34.7704	+	20.0747i	1.15453	+	0.666570i	0.204546	+	0.978857i	$0.434428\pi$
$908$	−9.62532	+	21.6188i	−0.319428	+	0.717446i
$909$	−1.48512	−	4.57073i	−0.0492583	−	0.151601i
$910$	24.0972	−	11.9338i	0.798813	−	0.395602i
$911$	−2.39989	+	7.38609i	−0.0795117	+	0.244712i	−0.982909	−	0.184093i	$-0.941065\pi$
$911$	−2.39989	+	7.38609i	−0.0795117	+	0.244712i	0.903397	+	0.428805i	$0.141065\pi$
$912$	−4.65572	−	4.19203i	−0.154166	−	0.138812i
$913$	3.98787	−	18.7614i	0.131979	−	0.620913i
$914$	−7.95434	−	8.83419i	−0.263106	−	0.292209i
$915$	5.49073	+	7.78852i	0.181518	+	0.257480i
$916$	−2.34235	−	7.20901i	−0.0773934	−	0.238193i
$917$	−3.53503	+	6.98706i	−0.116737	+	0.230733i
$918$		−	6.12849i		−	0.202270i
$919$	−33.6599	−	14.9864i	−1.11034	−	0.494355i	−0.232155	−	0.972679i	$-0.574578\pi$
$919$	−33.6599	−	14.9864i	−1.11034	−	0.494355i	−0.878183	+	0.478324i	$0.841244\pi$
$920$	−14.5729	+	15.7280i	−0.480456	+	0.518536i
$921$	−18.9778	+	8.44946i	−0.625340	+	0.278419i
$922$	12.0210	+	1.26346i	0.395890	+	0.0416097i
$923$	69.9394	+	22.7247i	2.30208	+	0.747992i
$924$	−12.1346	−	0.601258i	−0.399198	−	0.0197799i
$925$	11.1037	+	10.5865i	0.365088	+	0.348082i
$926$	−17.3698	−	30.0854i	−0.570807	−	0.988666i
$927$	−13.7889	+	12.4156i	−0.452887	+	0.407782i
$928$	−9.03715	−	20.2978i	−0.296659	−	0.666307i
$929$	1.89805	−	18.0587i	0.0622729	−	0.592487i	−0.918239	−	0.396027i	$-0.870389\pi$
$929$	1.89805	−	18.0587i	0.0622729	−	0.592487i	0.980512	−	0.196460i	$-0.0629447\pi$
$930$	−1.46595	−	1.67555i	−0.0480704	−	0.0549433i
$931$	37.2977	+	21.2512i	1.22238	+	0.696479i
$932$			12.4376i			0.407406i
$933$	−4.12577	+	9.26664i	−0.135072	+	0.303376i
$934$	−13.9230	−	2.95943i	−0.455576	−	0.0968356i
$935$	−46.2857	−	42.8865i	−1.51370	−	1.40254i
$936$	13.3139	−	2.82995i	0.435177	−	0.0924998i
$937$	−33.6125	+	10.9214i	−1.09807	+	0.356785i	−0.801360	−	0.598182i	$-0.795890\pi$
$937$	−33.6125	+	10.9214i	−1.09807	+	0.356785i	−0.296711	+	0.954967i	$0.595890\pi$
$938$	17.0871	−	4.63072i	0.557912	−	0.151198i
$939$	−1.22243	+	3.76226i	−0.0398926	+	0.122777i
$940$	0.107136	−	0.0331293i	0.00349439	−	0.00108056i
$941$	−49.5575	−	10.5338i	−1.61553	−	0.343391i	−0.690513	−	0.723320i	$-0.742615\pi$
$941$	−49.5575	−	10.5338i	−1.61553	−	0.343391i	−0.925016	+	0.379929i	$0.875948\pi$
$942$	−5.86758	+	0.616708i	−0.191176	+	0.0200934i
$943$	−18.1364	+	10.4711i	−0.590603	+	0.340985i
$944$	9.20347	−	6.68671i	0.299547	−	0.217634i
$945$	−2.18300	+	5.49859i	−0.0710132	+	0.178869i
$946$	−25.9643	−	18.8642i	−0.844173	−	0.613328i
$947$	−16.6071	−	1.74547i	−0.539658	−	0.0567203i	−0.169221	−	0.985578i	$-0.554125\pi$
$947$	−16.6071	−	1.74547i	−0.539658	−	0.0567203i	−0.370436	+	0.928858i	$0.620792\pi$
$948$	10.8476	−	9.76725i	0.352315	−	0.317226i
$949$	−31.4209	+	54.4226i	−1.01997	+	1.76663i
$950$	−7.24718	+	29.8786i	−0.235130	+	0.969389i
$951$	8.04630			0.260919
$952$	37.6476	−	30.6646i	1.22017	−	0.993844i
$953$	−21.9832	+	30.2572i	−0.712105	+	0.980128i	0.287645	+	0.957737i	$0.407128\pi$
$953$	−21.9832	+	30.2572i	−0.712105	+	0.980128i	−0.999749	+	0.0223908i	$0.992872\pi$
$954$	−0.166475	+	1.58390i	−0.00538982	+	0.0512807i
$955$	26.2479	−	28.3283i	0.849363	−	0.916682i
$956$	2.90970	+	27.6840i	0.0941065	+	0.895364i
$957$	−17.8359	+	10.2976i	−0.576552	+	0.332873i
$958$	−1.48297	−	2.04114i	−0.0479126	−	0.0659461i
$959$	−31.8885	−	8.44712i	−1.02973	−	0.272772i
$960$	15.6723	−	1.42160i	0.505822	−	0.0458819i
$961$	29.3582	−	6.24027i	0.947037	−	0.201299i
$962$	2.89963	−	13.6417i	0.0934880	−	0.439826i
$963$	−2.67265	+	12.5738i	−0.0861250	+	0.405186i
$964$	9.49214	−	2.01762i	0.305721	−	0.0649831i
$965$	−23.1409	−	13.8040i	−0.744930	−	0.444368i
$966$	−5.97345	+	6.00761i	−0.192193	+	0.193292i
$967$	−18.1221	−	24.9429i	−0.582766	−	0.802108i	0.411229	−	0.911532i	$-0.365100\pi$
$967$	−18.1221	−	24.9429i	−0.582766	−	0.802108i	−0.993995	+	0.109423i	$0.965100\pi$
$968$	26.8280	−	15.4892i	0.862286	−	0.497841i
$969$	3.91787	+	37.2760i	0.125860	+	1.19748i
$970$	12.6806	+	5.86383i	0.407150	+	0.188276i
$971$	0.967488	−	9.20503i	0.0310482	−	0.295403i	−0.967969	−	0.251071i	$-0.919217\pi$
$971$	0.967488	−	9.20503i	0.0310482	−	0.295403i	0.999017	−	0.0443325i	$-0.0141161\pi$
$972$	−0.584607	+	0.804643i	−0.0187513	+	0.0258089i
$973$	18.4268	+	7.01316i	0.590735	+	0.224831i
$974$	4.62629			0.148236
$975$	−14.6796	−	17.2692i	−0.470122	−	0.553057i
$976$	2.17686	−	3.77043i	0.0696795	−	0.120688i
$977$	19.2325	−	17.3170i	0.615302	−	0.554020i	−0.301448	−	0.953483i	$-0.597470\pi$
$977$	19.2325	−	17.3170i	0.615302	−	0.554020i	0.916750	+	0.399462i	$0.130803\pi$
$978$	1.40992	+	0.148188i	0.0450842	+	0.00473854i
$979$	−20.2597	−	14.7195i	−0.647502	−	0.470438i
$980$	−14.8465	+	4.68385i	−0.474255	+	0.149620i
$981$	9.42891	−	6.85051i	0.301042	−	0.218720i
$982$	−5.77519	+	3.33430i	−0.184294	+	0.106402i
$983$	−61.6711	+	6.48189i	−1.96700	+	0.206740i	−0.999019	−	0.0442797i	$-0.985901\pi$
$983$	−61.6711	+	6.48189i	−1.96700	+	0.206740i	−0.967982	+	0.251020i	$0.919234\pi$
$984$	19.2607	+	4.09399i	0.614009	+	0.130512i
$985$	−6.63816	+	8.86792i	−0.211509	+	0.282556i
$986$	8.44769	−	25.9993i	0.269029	−	0.827987i
$987$	0.128764	−	0.0348960i	0.00409860	−	0.00111075i
$988$	−26.2951	+	8.54380i	−0.836559	+	0.271815i
$989$	21.6547	−	4.60286i	0.688581	−	0.146362i
$990$	−2.00767	−	10.1553i	−0.0638079	−	0.322757i
$991$	−6.25709	−	1.32999i	−0.198763	−	0.0422484i	0.107454	−	0.994210i	$-0.465730\pi$
$991$	−6.25709	−	1.32999i	−0.198763	−	0.0422484i	−0.306217	+	0.951962i	$0.599063\pi$
$992$	2.01169	−	4.51832i	0.0638711	−	0.143457i
$993$		−	7.08191i		−	0.224738i
$994$	38.4020	+	19.4291i	1.21804	+	0.616253i
$995$	−16.5024	+	27.6643i	−0.523161	+	0.877018i
$996$	0.431896	−	4.10922i	0.0136852	−	0.130206i
$997$	14.4193	+	32.3863i	0.456664	+	1.02568i	0.984347	+	0.176242i	$0.0563943\pi$
$997$	14.4193	+	32.3863i	0.456664	+	1.02568i	−0.527683	+	0.849441i	$0.676939\pi$
$998$	−19.7845	+	17.8140i	−0.626267	+	0.563893i
$999$	1.53417	+	2.65725i	0.0485389	+	0.0840718i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	525.2.bo.a.4.14	✓	320
7.2	even	3	inner	525.2.bo.a.79.14	yes	320
25.19	even	10	inner	525.2.bo.a.319.14	yes	320
175.44	even	30	inner	525.2.bo.a.394.14	yes	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
525.2.bo.a.4.14	✓	320	1.1	even	1	trivial
525.2.bo.a.79.14	yes	320	7.2	even	3	inner
525.2.bo.a.319.14	yes	320	25.19	even	10	inner
525.2.bo.a.394.14	yes	320	175.44	even	30	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:	\( N \)	\(=\)	\( 525 = 3 \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	525.bo (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.208473 - 0.980788i) q^{2} +(-0.406737 - 0.913545i) q^{3} +(0.908606 - 0.404537i) q^{4} +(2.23584 + 0.0318845i) q^{5} +(-0.811201 + 0.589372i) q^{6} +(-0.130934 + 2.64251i) q^{7} +(-1.76493 - 2.42922i) q^{8} +(-0.669131 + 0.743145i) q^{9} +O(q^{10})\)	\(q+(-0.208473 - 0.980788i) q^{2} +(-0.406737 - 0.913545i) q^{3} +(0.908606 - 0.404537i) q^{4} +(2.23584 + 0.0318845i) q^{5} +(-0.811201 + 0.589372i) q^{6} +(-0.130934 + 2.64251i) q^{7} +(-1.76493 - 2.42922i) q^{8} +(-0.669131 + 0.743145i) q^{9} +(-0.434841 - 2.19953i) q^{10} +(-3.08939 - 3.43112i) q^{11} +(-0.739127 - 0.665513i) q^{12} +(4.31119 - 1.40079i) q^{13} +(2.61904 - 0.422473i) q^{14} +(-0.880270 - 2.05551i) q^{15} +(-0.683583 + 0.759196i) q^{16} +(6.07851 - 0.638877i) q^{17} +(0.868364 + 0.501350i) q^{18} +(-5.60225 - 2.49428i) q^{19} +(2.04440 - 0.875511i) q^{20} +(2.46731 - 0.955191i) q^{21} +(-2.72115 + 3.74534i) q^{22} +(-0.663959 - 3.12368i) q^{23} +(-1.50134 + 2.60040i) q^{24} +(4.99797 + 0.142577i) q^{25} +(-2.27265 - 3.93634i) q^{26} +(0.951057 + 0.309017i) q^{27} +(0.950026 + 2.45397i) q^{28} +(3.60877 + 2.62193i) q^{29} +(-1.83251 + 1.29188i) q^{30} +(0.103792 + 0.987517i) q^{31} +(-4.31367 - 2.49050i) q^{32} +(-1.87791 + 4.21786i) q^{33} +(-1.89381 - 5.82854i) q^{34} +(-0.377003 + 5.90406i) q^{35} +(-0.307346 + 0.945914i) q^{36} +(2.28022 + 2.05311i) q^{37} +(-1.27845 + 6.01462i) q^{38} +(-3.03321 - 3.36872i) q^{39} +(-3.86865 - 5.48762i) q^{40} +(-2.02647 - 6.23685i) q^{41} +(-1.45121 - 2.22078i) q^{42} +6.93244i q^{43} +(-4.19505 - 1.86776i) q^{44} +(-1.51976 + 1.64022i) q^{45} +(-2.92525 + 1.30241i) q^{46} +(0.0501476 + 0.00527072i) q^{47} +(0.971598 + 0.315691i) q^{48} +(-6.96571 - 0.691990i) q^{49} +(-0.902103 - 4.93167i) q^{50} +(-3.05599 - 5.29314i) q^{51} +(3.35050 - 3.01681i) q^{52} +(0.646035 + 1.45102i) q^{53} +(0.104811 - 0.997207i) q^{54} +(-6.79799 - 7.76993i) q^{55} +(6.65032 - 4.34578i) q^{56} +6.13243i q^{57} +(1.81922 - 4.08604i) q^{58} +(-10.8923 - 2.31522i) q^{59} +(-1.63135 - 1.51155i) q^{60} +(-4.16854 + 0.886051i) q^{61} +(0.946908 - 0.307669i) q^{62} +(-1.87616 - 1.86549i) q^{63} +(-2.17475 + 6.69320i) q^{64} +(9.68380 - 2.99449i) q^{65} +(4.52832 + 0.962525i) q^{66} +(6.63669 - 0.697544i) q^{67} +(5.26452 - 3.03947i) q^{68} +(-2.58357 + 1.87707i) q^{69} +(5.86922 - 0.861076i) q^{70} +(13.1245 + 9.53549i) q^{71} +(2.98623 + 0.313865i) q^{72} +(-10.3022 + 9.27616i) q^{73} +(1.53831 - 2.66443i) q^{74} +(-1.90261 - 4.62386i) q^{75} -6.09927 q^{76} +(9.47127 - 7.71450i) q^{77} +(-2.67166 + 3.67722i) q^{78} +(-1.53409 + 14.5959i) q^{79} +(-1.55259 + 1.67565i) q^{80} +(-0.104528 - 0.994522i) q^{81} +(-5.69456 + 3.28776i) q^{82} +(2.44185 + 3.36091i) q^{83} +(1.85540 - 1.86601i) q^{84} +(13.6109 - 1.23462i) q^{85} +(6.79926 - 1.44523i) q^{86} +(0.927429 - 4.36321i) q^{87} +(-2.88237 + 13.5605i) q^{88} +(5.30539 - 1.12769i) q^{89} +(1.92554 + 1.14863i) q^{90} +(3.13712 + 11.5758i) q^{91} +(-1.86692 - 2.56960i) q^{92} +(0.859926 - 0.496478i) q^{93} +(-0.00528495 - 0.0502830i) q^{94} +(-12.4462 - 5.75545i) q^{95} +(-0.520656 + 4.95371i) q^{96} +(-3.66254 + 5.04106i) q^{97} +(0.773467 + 6.97615i) q^{98} +4.61702 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 320 q - 40 q^{4} - 2 q^{5} + 8 q^{6} + 60 q^{8} - 40 q^{9}+O(q^{10}) \) 320 * q - 40 * q^4 - 2 * q^5 + 8 * q^6 + 60 * q^8 - 40 * q^9	\( 320 q - 40 q^{4} - 2 q^{5} + 8 q^{6} + 60 q^{8} - 40 q^{9} + 4 q^{10} - 6 q^{11} + 12 q^{14} + 4 q^{15} + 40 q^{16} - 20 q^{17} + 16 q^{19} + 8 q^{20} + 40 q^{22} - 60 q^{23} - 48 q^{24} + 4 q^{25} - 30 q^{28} + 24 q^{29} - 48 q^{30} - 30 q^{31} - 80 q^{36} + 30 q^{38} - 32 q^{40} + 36 q^{41} + 10 q^{42} - 16 q^{44} + 2 q^{45} + 32 q^{46} + 16 q^{49} - 140 q^{50} + 190 q^{52} - 60 q^{53} + 4 q^{54} - 8 q^{55} + 60 q^{58} + 24 q^{59} - 46 q^{60} - 20 q^{61} + 120 q^{62} + 10 q^{63} - 4 q^{64} - 30 q^{65} - 16 q^{66} - 60 q^{67} - 32 q^{69} - 76 q^{70} + 32 q^{71} - 30 q^{72} - 40 q^{73} - 12 q^{74} - 8 q^{75} - 344 q^{76} + 4 q^{79} - 52 q^{80} + 40 q^{81} - 80 q^{83} + 48 q^{84} - 76 q^{85} + 24 q^{86} - 200 q^{88} - 52 q^{90} + 26 q^{91} + 180 q^{92} + 16 q^{94} - 38 q^{95} - 58 q^{96} - 140 q^{97} + 360 q^{98} + 8 q^{99}+O(q^{100}) \) 320 * q - 40 * q^4 - 2 * q^5 + 8 * q^6 + 60 * q^8 - 40 * q^9 + 4 * q^10 - 6 * q^11 + 12 * q^14 + 4 * q^15 + 40 * q^16 - 20 * q^17 + 16 * q^19 + 8 * q^20 + 40 * q^22 - 60 * q^23 - 48 * q^24 + 4 * q^25 - 30 * q^28 + 24 * q^29 - 48 * q^30 - 30 * q^31 - 80 * q^36 + 30 * q^38 - 32 * q^40 + 36 * q^41 + 10 * q^42 - 16 * q^44 + 2 * q^45 + 32 * q^46 + 16 * q^49 - 140 * q^50 + 190 * q^52 - 60 * q^53 + 4 * q^54 - 8 * q^55 + 60 * q^58 + 24 * q^59 - 46 * q^60 - 20 * q^61 + 120 * q^62 + 10 * q^63 - 4 * q^64 - 30 * q^65 - 16 * q^66 - 60 * q^67 - 32 * q^69 - 76 * q^70 + 32 * q^71 - 30 * q^72 - 40 * q^73 - 12 * q^74 - 8 * q^75 - 344 * q^76 + 4 * q^79 - 52 * q^80 + 40 * q^81 - 80 * q^83 + 48 * q^84 - 76 * q^85 + 24 * q^86 - 200 * q^88 - 52 * q^90 + 26 * q^91 + 180 * q^92 + 16 * q^94 - 38 * q^95 - 58 * q^96 - 140 * q^97 + 360 * q^98 + 8 * q^99

Introduction

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