LMFDB - Embedded newform 804.2.bd.a.23.131

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [804,2,Mod(23,804)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(804, base_ring=CyclotomicField(66))

chi = DirichletCharacter(H, H._module([33, 33, 28]))

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

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

chi := DirichletCharacter("804.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 804 = 2^{2} \cdot 3 \cdot 67 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	804.bd (of order $66$, degree $20$, 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:	$6.41997232251$
Analytic rank:	$0$
Dimension:	$2640$
Relative dimension:	$132$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			23.131
Character	$\chi$	$=$	804.23
Dual form			804.2.bd.a.35.131

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.41084 - 0.0976039i) q^{2} +(-0.00866028 + 1.73203i) q^{3} +(1.98095 - 0.275407i) q^{4} +(-2.88456 + 1.31734i) q^{5} +(0.156834 + 2.44446i) q^{6} +(1.85789 + 1.94850i) q^{7} +(2.76792 - 0.581904i) q^{8} +(-2.99985 - 0.0299997i) q^{9} +O(q^{10})$	\(q+(1.41084 - 0.0976039i) q^{2} +(-0.00866028 + 1.73203i) q^{3} +(1.98095 - 0.275407i) q^{4} +(-2.88456 + 1.31734i) q^{5} +(0.156834 + 2.44446i) q^{6} +(1.85789 + 1.94850i) q^{7} +(2.76792 - 0.581904i) q^{8} +(-2.99985 - 0.0299997i) q^{9} +(-3.94108 + 2.14010i) q^{10} +(0.725043 + 0.0692332i) q^{11} +(0.459858 + 3.43344i) q^{12} +(-0.625573 - 0.120569i) q^{13} +(2.81137 + 2.56768i) q^{14} +(-2.25668 - 5.00756i) q^{15} +(3.84830 - 1.09113i) q^{16} +(-2.55706 + 4.96000i) q^{17} +(-4.23524 + 0.250472i) q^{18} +(0.463180 - 0.485769i) q^{19} +(-5.35136 + 3.40400i) q^{20} +(-3.39094 + 3.20104i) q^{21} +(1.02968 + 0.0269101i) q^{22} +(-3.17927 + 1.27279i) q^{23} +(0.983904 + 4.79916i) q^{24} +(3.31103 - 3.82113i) q^{25} +(-0.894353 - 0.109046i) q^{26} +(0.0779399 - 5.19557i) q^{27} +(4.21701 + 3.34819i) q^{28} +(2.31618 + 1.33725i) q^{29} +(-3.67258 - 6.84461i) q^{30} +(0.712251 + 3.69551i) q^{31} +(5.32284 - 1.91503i) q^{32} +(-0.126193 + 1.25520i) q^{33} +(-3.12349 + 7.24736i) q^{34} +(-7.92602 - 3.17310i) q^{35} +(-5.95081 + 0.766752i) q^{36} +(-5.19757 - 9.00245i) q^{37} +(0.606061 - 0.730551i) q^{38} +(0.214247 - 1.08247i) q^{39} +(-7.21768 + 5.32482i) q^{40} +(-5.15363 + 0.245498i) q^{41} +(-4.47165 + 4.84713i) q^{42} +(6.81001 + 10.5966i) q^{43} +(1.45534 - 0.0625347i) q^{44} +(8.69278 - 3.86527i) q^{45} +(-4.36121 + 2.10601i) q^{46} +(2.67511 + 2.10373i) q^{47} +(1.85655 + 6.67482i) q^{48} +(-0.0118191 + 0.248113i) q^{49} +(4.29838 - 5.71418i) q^{50} +(-8.56873 - 4.47186i) q^{51} +(-1.27243 - 0.0665542i) q^{52} +(2.69922 - 4.20007i) q^{53} +(-0.397147 - 7.33773i) q^{54} +(-2.18263 + 0.755417i) q^{55} +(6.27633 + 4.31218i) q^{56} +(0.837355 + 0.806448i) q^{57} +(3.39828 + 1.66058i) q^{58} +(2.59006 + 2.98909i) q^{59} +(-5.84949 - 9.29820i) q^{60} +(14.0631 - 1.34286i) q^{61} +(1.36557 + 5.14426i) q^{62} +(-5.51493 - 5.90094i) q^{63} +(7.32278 - 3.22133i) q^{64} +(1.96334 - 0.476300i) q^{65} +(-0.0555263 + 1.78320i) q^{66} +(7.24286 - 3.81326i) q^{67} +(-3.69938 + 10.5297i) q^{68} +(-2.17697 - 5.51761i) q^{69} +(-11.4921 - 3.70313i) q^{70} +(7.73502 - 3.98768i) q^{71} +(-8.32081 + 1.66259i) q^{72} +(4.36934 - 0.417221i) q^{73} +(-8.21162 - 12.1937i) q^{74} +(6.58964 + 5.76789i) q^{75} +(0.783751 - 1.08985i) q^{76} +(1.21215 + 1.54137i) q^{77} +(0.196616 - 1.54810i) q^{78} +(-13.8455 + 4.79198i) q^{79} +(-9.66328 + 8.21695i) q^{80} +(8.99820 + 0.179989i) q^{81} +(-7.24699 + 0.849373i) q^{82} +(0.456515 - 0.641086i) q^{83} +(-5.83569 + 7.27499i) q^{84} +(0.842010 - 17.6760i) q^{85} +(10.6421 + 14.2854i) q^{86} +(-2.33621 + 4.00011i) q^{87} +(2.04715 - 0.230273i) q^{88} +(3.02104 - 0.434359i) q^{89} +(11.8869 - 6.30174i) q^{90} +(-0.927317 - 1.44293i) q^{91} +(-5.94742 + 3.39692i) q^{92} +(-6.40690 + 1.20164i) q^{93} +(3.97949 + 2.70693i) q^{94} +(-0.696151 + 2.01140i) q^{95} +(3.27078 + 9.23591i) q^{96} +(5.40049 + 9.35392i) q^{97} +(0.00754195 + 0.351202i) q^{98} +(-2.17294 - 0.229440i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 2640 q - 42 q^{4} - 19 q^{6} - 32 q^{9}+O(q^{10}) $ 2640 * q - 42 * q^4 - 19 * q^6 - 32 * q^9	$ 2640 q - 42 q^{4} - 19 q^{6} - 32 q^{9} - 46 q^{10} - 24 q^{12} - 88 q^{13} - 26 q^{16} - 23 q^{18} - 128 q^{22} - 22 q^{24} + 160 q^{25} + 44 q^{28} - 18 q^{30} - 44 q^{33} - 6 q^{34} - 35 q^{36} - 48 q^{37} - 92 q^{40} - 10 q^{42} + 40 q^{45} + 46 q^{46} - 11 q^{48} - 216 q^{49} - 76 q^{52} + 129 q^{54} - 42 q^{57} - 56 q^{58} - 90 q^{60} - 80 q^{61} - 48 q^{64} - 74 q^{66} - 4 q^{69} + 96 q^{70} - 20 q^{72} - 216 q^{73} + 76 q^{76} - 66 q^{78} - 16 q^{81} + 20 q^{82} - 55 q^{84} - 104 q^{85} - 30 q^{88} - 64 q^{90} - 192 q^{93} - 32 q^{94} - 205 q^{96} - 64 q^{97}+O(q^{100}) $ 2640 * q - 42 * q^4 - 19 * q^6 - 32 * q^9 - 46 * q^10 - 24 * q^12 - 88 * q^13 - 26 * q^16 - 23 * q^18 - 128 * q^22 - 22 * q^24 + 160 * q^25 + 44 * q^28 - 18 * q^30 - 44 * q^33 - 6 * q^34 - 35 * q^36 - 48 * q^37 - 92 * q^40 - 10 * q^42 + 40 * q^45 + 46 * q^46 - 11 * q^48 - 216 * q^49 - 76 * q^52 + 129 * q^54 - 42 * q^57 - 56 * q^58 - 90 * q^60 - 80 * q^61 - 48 * q^64 - 74 * q^66 - 4 * q^69 + 96 * q^70 - 20 * q^72 - 216 * q^73 + 76 * q^76 - 66 * q^78 - 16 * q^81 + 20 * q^82 - 55 * q^84 - 104 * q^85 - 30 * q^88 - 64 * q^90 - 192 * q^93 - 32 * q^94 - 205 * q^96 - 64 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/804\mathbb{Z}\right)^\times$.

$n$	$269$	$337$	$403$
$\chi(n)$	$-1$	$e\left(\frac{14}{33}\right)$	$-1$

Coefficient data

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

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

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

$2$	1.41084	−	0.0976039i	0.997616	−	0.0690164i
$2$	1.41084	−	0.0976039i	0.997616	−	0.0690164i
$3$	−0.00866028	+	1.73203i	−0.00500001	+	0.999987i
$3$	−0.00866028	+	1.73203i	−0.00500001	+	0.999987i
$4$	1.98095	−	0.275407i	0.990473	−	0.137704i
$5$	−2.88456	+	1.31734i	−1.29002	+	0.589131i	−0.937926	−	0.346836i	$-0.887256\pi$
$5$	−2.88456	+	1.31734i	−1.29002	+	0.589131i	−0.352090	+	0.935966i	$0.614529\pi$
$6$	0.156834	+	2.44446i	0.0640274	+	0.997948i
$7$	1.85789	+	1.94850i	0.702216	+	0.736463i	0.974162	−	0.225850i	$-0.0725158\pi$
$7$	1.85789	+	1.94850i	0.702216	+	0.736463i	−0.271946	+	0.962312i	$0.587667\pi$
$8$	2.76792	−	0.581904i	0.978608	−	0.205734i
$9$	−2.99985	−	0.0299997i	−0.999950	−	0.00999990i
$10$	−3.94108	+	2.14010i	−1.24628	+	0.676758i
$11$	0.725043	+	0.0692332i	0.218609	+	0.0208746i	0.203786	−	0.979016i	$-0.434675\pi$
$11$	0.725043	+	0.0692332i	0.218609	+	0.0208746i	0.0148230	+	0.999890i	$0.495282\pi$
$12$	0.459858	+	3.43344i	0.132749	+	0.991150i
$13$	−0.625573	−	0.120569i	−0.173503	−	0.0334399i	0.101760	−	0.994809i	$-0.467553\pi$
$13$	−0.625573	−	0.120569i	−0.173503	−	0.0334399i	−0.275263	+	0.961369i	$0.588765\pi$
$14$	2.81137	+	2.56768i	0.751370	+	0.686242i
$15$	−2.25668	−	5.00756i	−0.582673	−	1.29295i
$16$	3.84830	−	1.09113i	0.962075	−	0.272783i
$17$	−2.55706	+	4.96000i	−0.620178	+	1.20298i	0.344311	+	0.938856i	$0.388113\pi$
$17$	−2.55706	+	4.96000i	−0.620178	+	1.20298i	−0.964489	+	0.264122i	$0.914918\pi$
$18$	−4.23524	+	0.250472i	−0.998256	+	0.0590368i
$19$	0.463180	−	0.485769i	0.106261	−	0.111443i	−0.668455	−	0.743752i	$-0.733044\pi$
$19$	0.463180	−	0.485769i	0.106261	−	0.111443i	0.774716	+	0.632309i	$0.217893\pi$
$20$	−5.35136	+	3.40400i	−1.19660	+	0.761158i
$21$	−3.39094	+	3.20104i	−0.739965	+	0.698525i
$22$	1.02968	+	0.0269101i	0.219528	+	0.00573725i
$23$	−3.17927	+	1.27279i	−0.662923	+	0.265394i	−0.678628	−	0.734482i	$-0.737425\pi$
$23$	−3.17927	+	1.27279i	−0.662923	+	0.265394i	0.0157049	+	0.999877i	$0.495001\pi$
$24$	0.983904	+	4.79916i	0.200838	+	0.979624i
$25$	3.31103	−	3.82113i	0.662206	−	0.764226i
$26$	−0.894353	−	0.109046i	−0.175397	−	0.0213857i
$27$	0.0779399	−	5.19557i	0.0149995	−	0.999888i
$28$	4.21701	+	3.34819i	0.796940	+	0.632749i
$29$	2.31618	+	1.33725i	0.430104	+	0.248321i	0.699391	−	0.714739i	$-0.253455\pi$
$29$	2.31618	+	1.33725i	0.430104	+	0.248321i	−0.269287	+	0.963060i	$0.586788\pi$
$30$	−3.67258	−	6.84461i	−0.670518	−	1.24965i
$31$	0.712251	+	3.69551i	0.127924	+	0.663733i	0.988110	+	0.153752i	$0.0491356\pi$
$31$	0.712251	+	3.69551i	0.127924	+	0.663733i	−0.860185	+	0.509981i	$0.829652\pi$
$32$	5.32284	−	1.91503i	0.940955	−	0.338532i
$33$	−0.126193	+	1.25520i	−0.0219674	+	0.218501i
$34$	−3.12349	+	7.24736i	−0.535674	+	1.24291i
$35$	−7.92602	−	3.17310i	−1.33974	−	0.536352i
$36$	−5.95081	+	0.766752i	−0.991801	+	0.127792i
$37$	−5.19757	−	9.00245i	−0.854475	−	1.47999i	−0.877131	−	0.480251i	$-0.840546\pi$
$37$	−5.19757	−	9.00245i	−0.854475	−	1.47999i	0.0226564	−	0.999743i	$-0.492788\pi$
$38$	0.606061	−	0.730551i	0.0983160	−	0.118511i
$39$	0.214247	−	1.08247i	0.0343070	−	0.173333i
$40$	−7.21768	+	5.32482i	−1.14122	+	0.841928i
$41$	−5.15363	+	0.245498i	−0.804862	+	0.0383403i	−0.445980	−	0.895043i	$-0.647145\pi$
$41$	−5.15363	+	0.245498i	−0.804862	+	0.0383403i	−0.358882	+	0.933383i	$0.616842\pi$
$42$	−4.47165	+	4.84713i	−0.689991	+	0.747929i
$43$	6.81001	+	10.5966i	1.03852	+	1.61596i	0.753508	+	0.657439i	$0.228360\pi$
$43$	6.81001	+	10.5966i	1.03852	+	1.61596i	0.285009	+	0.958525i	$0.408003\pi$
$44$	1.45534	−	0.0625347i	0.219400	−	0.00942746i
$45$	8.69278	−	3.86527i	1.29584	−	0.576201i
$46$	−4.36121	+	2.10601i	−0.643026	+	0.310514i
$47$	2.67511	+	2.10373i	0.390205	+	0.306861i	0.793918	−	0.608025i	$-0.208038\pi$
$47$	2.67511	+	2.10373i	0.390205	+	0.306861i	−0.403712	+	0.914886i	$0.632280\pi$
$48$	1.85655	+	6.67482i	0.267970	+	0.963427i
$49$	−0.0118191	+	0.248113i	−0.00168844	+	0.0354448i
$50$	4.29838	−	5.71418i	0.607883	−	0.808107i
$51$	−8.56873	−	4.47186i	−1.19986	−	0.626185i
$52$	−1.27243	−	0.0665542i	−0.176455	−	0.00922941i
$53$	2.69922	−	4.20007i	0.370767	−	0.576925i	−0.604868	−	0.796326i	$-0.706774\pi$
$53$	2.69922	−	4.20007i	0.370767	−	0.576925i	0.975635	+	0.219401i	$0.0704104\pi$
$54$	−0.397147	−	7.33773i	−0.0540448	−	0.998539i
$55$	−2.18263	+	0.755417i	−0.294306	+	0.101860i
$56$	6.27633	+	4.31218i	0.838710	+	0.576239i
$57$	0.837355	+	0.806448i	0.110910	+	0.106817i
$58$	3.39828	+	1.66058i	0.446217	+	0.218044i
$59$	2.59006	+	2.98909i	0.337197	+	0.389146i	0.898872	−	0.438212i	$-0.144388\pi$
$59$	2.59006	+	2.98909i	0.337197	+	0.389146i	−0.561674	+	0.827358i	$0.689843\pi$
$60$	−5.84949	−	9.29820i	−0.755166	−	1.20039i
$61$	14.0631	−	1.34286i	1.80059	−	0.171936i	0.859735	−	0.510740i	$-0.170629\pi$
$61$	14.0631	−	1.34286i	1.80059	−	0.171936i	0.940857	+	0.338804i	$0.110022\pi$
$62$	1.36557	+	5.14426i	0.173427	+	0.653322i
$63$	−5.51493	−	5.90094i	−0.694816	−	0.743448i
$64$	7.32278	−	3.22133i	0.915347	−	0.402666i
$65$	1.96334	−	0.476300i	0.243522	−	0.0590778i
$66$	−0.0555263	+	1.78320i	−0.00683482	+	0.219497i
$67$	7.24286	−	3.81326i	0.884856	−	0.465864i
$67$	7.24286	−	3.81326i	0.884856	−	0.465864i
$68$	−3.69938	+	10.5297i	−0.448616	+	1.27692i
$69$	−2.17697	−	5.51761i	−0.262076	−	0.664242i
$70$	−11.4921	−	3.70313i	−1.37357	−	0.442609i
$71$	7.73502	−	3.98768i	0.917978	−	0.473250i	0.0665860	−	0.997781i	$-0.478789\pi$
$71$	7.73502	−	3.98768i	0.917978	−	0.473250i	0.851392	+	0.524530i	$0.175759\pi$
$72$	−8.32081	+	1.66259i	−0.980616	+	0.195938i
$73$	4.36934	−	0.417221i	0.511392	−	0.0488320i	0.163829	−	0.986489i	$-0.447615\pi$
$73$	4.36934	−	0.417221i	0.511392	−	0.0488320i	0.347563	+	0.937657i	$0.387009\pi$
$74$	−8.21162	−	12.1937i	−0.954581	−	1.41749i
$75$	6.58964	+	5.76789i	0.760906	+	0.666019i
$76$	0.783751	−	1.08985i	0.0899024	−	0.125014i
$77$	1.21215	+	1.54137i	0.138137	+	0.175656i
$78$	0.196616	−	1.54810i	0.0222624	−	0.175288i
$79$	−13.8455	+	4.79198i	−1.55774	+	0.539140i	−0.964089	−	0.265581i	$-0.914436\pi$
$79$	−13.8455	+	4.79198i	−1.55774	+	0.539140i	−0.593654	+	0.804721i	$0.702315\pi$
$80$	−9.66328	+	8.21695i	−1.08039	+	0.918683i
$81$	8.99820	+	0.179989i	0.999800	+	0.0199988i
$82$	−7.24699	+	0.849373i	−0.800297	+	0.0937975i
$83$	0.456515	−	0.641086i	0.0501090	−	0.0703683i	−0.788761	−	0.614700i	$-0.789277\pi$
$83$	0.456515	−	0.641086i	0.0501090	−	0.0703683i	0.838870	+	0.544331i	$0.183217\pi$
$84$	−5.83569	+	7.27499i	−0.636726	+	0.793766i
$85$	0.842010	−	17.6760i	0.0913288	−	1.91723i
$86$	10.6421	+	14.2854i	1.14757	+	1.54044i
$87$	−2.33621	+	4.00011i	−0.250468	+	0.428857i
$88$	2.04715	−	0.230273i	0.218227	−	0.0245472i
$89$	3.02104	−	0.434359i	0.320229	−	0.0460420i	0.0196740	−	0.999806i	$-0.493737\pi$
$89$	3.02104	−	0.434359i	0.320229	−	0.0460420i	0.300555	+	0.953764i	$0.402828\pi$
$90$	11.8869	−	6.30174i	1.25299	−	0.664262i
$91$	−0.927317	−	1.44293i	−0.0972092	−	0.151260i
$92$	−5.94742	+	3.39692i	−0.620062	+	0.354153i
$93$	−6.40690	+	1.20164i	−0.664364	+	0.124604i
$94$	3.97949	+	2.70693i	0.410453	+	0.279199i
$95$	−0.696151	+	2.01140i	−0.0714236	+	0.206365i
$96$	3.27078	+	9.23591i	0.333823	+	0.942636i
$97$	5.40049	+	9.35392i	0.548336	+	0.949746i	0.998389	+	0.0567442i	$0.0180720\pi$
$97$	5.40049	+	9.35392i	0.548336	+	0.949746i	−0.450052	+	0.893002i	$0.648595\pi$
$98$	0.00754195	+	0.351202i	0.000761852	+	0.0354768i
$99$	−2.17294	−	0.229440i	−0.218389	−	0.0230596i
$100$	5.50661	−	8.48134i	0.550661	−	0.848134i
$101$	5.58738	+	1.35548i	0.555965	+	0.134876i	0.503890	−	0.863768i	$-0.331902\pi$
$101$	5.58738	+	1.35548i	0.555965	+	0.134876i	0.0520745	+	0.998643i	$0.483417\pi$
$102$	−12.5256	−	5.47274i	−1.24022	−	0.541882i
$103$	−1.95650	−	10.1513i	−0.192780	−	1.00024i	−0.941414	−	0.337253i	$-0.890502\pi$
$103$	−1.95650	−	10.1513i	−0.192780	−	1.00024i	0.748634	−	0.662983i	$-0.230710\pi$
$104$	−1.80170	+	0.0302970i	−0.176671	+	0.00297087i
$105$	5.56455	−	13.7006i	0.543044	−	1.33704i
$106$	3.39823	−	6.18909i	0.330066	−	0.601138i
$107$	4.94819	−	10.8350i	0.478359	−	1.04746i	−0.504552	−	0.863381i	$-0.668342\pi$
$107$	4.94819	−	10.8350i	0.478359	−	1.04746i	0.982911	−	0.184079i	$-0.0589304\pi$
$108$	−1.27650	−	10.3136i	−0.122831	−	0.992428i
$109$	3.93036	−	4.53587i	0.376460	−	0.434458i	−0.535627	−	0.844455i	$-0.679925\pi$
$109$	3.93036	−	4.53587i	0.376460	−	0.434458i	0.912087	+	0.409997i	$0.134470\pi$
$110$	−3.00562	+	1.27881i	−0.286575	+	0.121930i
$111$	15.6375	−	8.92438i	1.48425	−	0.847064i
$112$	9.27579	+	5.47120i	0.876480	+	0.516980i
$113$	5.89046	−	4.19458i	0.554128	−	0.394592i	−0.268409	−	0.963305i	$-0.586498\pi$
$113$	5.89046	−	4.19458i	0.554128	−	0.394592i	0.822536	+	0.568713i	$0.192558\pi$
$114$	1.26009	+	1.05604i	0.118018	+	0.0989073i
$115$	7.49411	−	7.85960i	0.698829	−	0.732911i
$116$	4.95652	+	2.01112i	0.460201	+	0.186728i
$117$	1.87301	+	0.380457i	0.173160	+	0.0351733i
$118$	3.94591	+	3.96433i	0.363251	+	0.364946i
$119$	−14.4153	+	4.23271i	−1.32145	+	0.388012i
$120$	−9.16024	−	12.5473i	−0.836212	−	1.14541i
$121$	−10.2803	−	1.98137i	−0.934575	−	0.180125i
$122$	19.7097	−	3.26717i	1.78443	−	0.295796i
$123$	−0.380577	−	8.92836i	−0.0343155	−	0.805043i
$124$	2.42870	+	7.12445i	0.218104	+	0.639794i
$125$	−0.0501037	+	0.170638i	−0.00448142	+	0.0152623i
$126$	−8.35665	−	7.78701i	−0.744470	−	0.693722i
$127$	−0.230243	−	0.241472i	−0.0204308	−	0.0214272i	0.713439	−	0.700717i	$-0.247136\pi$
$127$	−0.230243	−	0.241472i	−0.0204308	−	0.0214272i	−0.733870	+	0.679290i	$0.762288\pi$
$128$	10.0169	−	5.25951i	0.885374	−	0.464880i
$129$	−18.4126	+	11.7034i	−1.62114	+	1.03042i
$130$	2.72347	−	0.863614i	0.238864	−	0.0757439i
$131$	−2.76286	+	19.2161i	−0.241392	+	1.67892i	0.403759	+	0.914865i	$0.367703\pi$
$131$	−2.76286	+	19.2161i	−0.241392	+	1.67892i	−0.645151	+	0.764055i	$0.723206\pi$
$132$	0.0957082	+	2.52123i	0.00833033	+	0.219445i
$133$	1.80706			0.156692
$134$	9.84634	−	6.08684i	0.850594	−	0.525823i
$135$	6.61949	+	15.0896i	0.569715	+	1.29871i
$136$	−4.19149	+	15.2169i	−0.359418	+	1.30484i
$137$	7.33284	+	1.05430i	0.626487	+	0.0900753i	0.448244	−	0.893911i	$-0.352050\pi$
$137$	7.33284	+	1.05430i	0.626487	+	0.0900753i	0.178243	+	0.983986i	$0.442959\pi$
$138$	−3.60990	−	7.57199i	−0.307295	−	0.644570i
$139$	5.14453	−	2.34943i	0.436353	−	0.199276i	−0.185112	−	0.982717i	$-0.559265\pi$
$139$	5.14453	−	2.34943i	0.436353	−	0.199276i	0.621465	+	0.783442i	$0.286538\pi$
$140$	−16.5749	−	4.10286i	−1.40084	−	0.346755i
$141$	−3.66689	+	4.61516i	−0.308808	+	0.388666i
$142$	10.5237	−	6.38095i	0.883127	−	0.535477i
$143$	−0.445220	−	0.130728i	−0.0372312	−	0.0109321i
$144$	−11.5771	+	3.15779i	−0.964755	+	0.263149i
$145$	−8.44277	−	0.806187i	−0.701134	−	0.0669502i
$146$	6.12372	−	1.01510i	0.506802	−	0.0840100i
$147$	−0.429637	−	0.0226197i	−0.0354359	−	0.00186565i
$148$	−12.7754	−	16.4019i	−1.05014	−	1.34823i
$149$	−2.04147	−	6.95259i	−0.167243	−	0.569578i	−0.999876	−	0.0157527i	$-0.994986\pi$
$149$	−2.04147	−	6.95259i	−0.167243	−	0.569578i	0.832633	−	0.553826i	$-0.186833\pi$
$150$	9.85990	+	7.49441i	0.805058	+	0.611916i
$151$	−8.86541	+	17.1965i	−0.721457	+	1.39943i	0.187383	+	0.982287i	$0.439999\pi$
$151$	−8.86541	+	17.1965i	−0.721457	+	1.39943i	−0.908840	+	0.417145i	$0.863031\pi$
$152$	0.999375	−	1.61410i	0.0810600	−	0.130921i
$153$	7.81960	−	14.8026i	0.632177	−	1.19672i
$154$	1.86059	+	2.05632i	0.149931	+	0.165703i
$155$	−6.92276	−	9.72166i	−0.556050	−	0.780862i
$156$	0.126293	−	2.20332i	0.0101116	−	0.176406i
$157$	−2.47408	+	0.990474i	−0.197453	+	0.0790484i	−0.468282	−	0.883579i	$-0.655127\pi$
$157$	−2.47408	+	0.990474i	−0.197453	+	0.0790484i	0.270828	+	0.962628i	$0.412702\pi$
$158$	−19.0661	+	8.11210i	−1.51682	+	0.645364i
$159$	7.25127	+	4.71151i	0.575063	+	0.373647i
$160$	−12.8314	+	12.5360i	−1.01441	+	0.991057i
$161$	−8.38675	−	3.83010i	−0.660968	−	0.301854i
$162$	12.7126	−	0.624323i	0.998796	−	0.0490514i
$163$	13.1328	+	7.58225i	1.02864	+	0.593888i	0.916596	−	0.399815i	$-0.130926\pi$
$163$	13.1328	+	7.58225i	1.02864	+	0.593888i	0.112048	+	0.993703i	$0.464259\pi$
$164$	−10.1415	+	1.90566i	−0.791915	+	0.148807i
$165$	−1.28950	−	3.78693i	−0.100388	−	0.294812i
$166$	0.581498	−	0.949028i	0.0451330	−	0.0736589i
$167$	−0.513521	+	2.11676i	−0.0397374	+	0.163800i	−0.988223	−	0.153020i	$-0.951100\pi$
$167$	−0.513521	+	2.11676i	−0.0397374	+	0.163800i	0.948486	+	0.316820i	$0.102615\pi$
$168$	−7.52317	+	10.8334i	−0.580425	+	0.835818i
$169$	−11.6920	−	4.68076i	−0.899383	−	0.360059i
$170$	−0.537300	−	25.0202i	−0.0412090	−	1.91896i
$171$	−1.40404	+	1.44334i	−0.107370	+	0.110375i
$172$	16.4086	+	19.1157i	1.25115	+	1.45756i
$173$	−12.1469	−	4.20410i	−0.923515	−	0.319632i	−0.176394	−	0.984320i	$-0.556443\pi$
$173$	−12.1469	−	4.20410i	−0.923515	−	0.319632i	−0.747121	+	0.664688i	$0.768565\pi$
$174$	−2.90560	+	5.87155i	−0.220273	+	0.445121i
$175$	13.5970	−	0.647704i	1.02784	−	0.0489619i
$176$	2.86573	−	0.524688i	0.216012	−	0.0395499i
$177$	−5.19962	+	4.46017i	−0.390827	+	0.335247i
$178$	4.21981	−	0.907677i	0.316288	−	0.0680333i
$179$	−1.51141	−	10.5121i	−0.112968	−	0.785709i	−0.965006	−	0.262229i	$-0.915543\pi$
$179$	−1.51141	−	10.5121i	−0.112968	−	0.785709i	0.852038	−	0.523480i	$-0.175367\pi$
$180$	16.1554	−	10.0510i	1.20415	−	0.749154i
$181$	0.864935	+	0.680192i	0.0642901	+	0.0505583i	0.649787	−	0.760116i	$-0.274858\pi$
$181$	0.864935	+	0.680192i	0.0642901	+	0.0505583i	−0.585497	+	0.810675i	$0.699101\pi$
$182$	−1.44913	−	1.94524i	−0.107417	−	0.144191i
$183$	2.20408	+	24.3693i	0.162931	+	1.80143i
$184$	−8.05932	+	5.37300i	−0.594141	+	0.396103i
$185$	26.8520	+	19.1212i	1.97420	+	1.40582i
$186$	−8.92183	+	2.32065i	−0.654180	+	0.170159i
$187$	−2.19737	+	3.41918i	−0.160688	+	0.250035i
$188$	5.87864	+	3.43064i	0.428744	+	0.250205i
$189$	10.2684	−	9.50092i	0.746913	−	0.691090i
$190$	−0.785838	+	2.90571i	−0.0570107	+	0.210802i
$191$	11.5207	−	9.05997i	0.833608	−	0.655557i	−0.107297	−	0.994227i	$-0.534220\pi$
$191$	11.5207	−	9.05997i	0.833608	−	0.655557i	0.940905	+	0.338670i	$0.109977\pi$
$192$	5.51602	+	12.7112i	0.398084	+	0.917349i
$193$	13.6591	+	15.7634i	0.983201	+	1.13467i	0.990886	+	0.134704i	$0.0430084\pi$
$193$	13.6591	+	15.7634i	0.983201	+	1.13467i	−0.00768468	+	0.999970i	$0.502446\pi$
$194$	8.53221	+	12.6698i	0.612577	+	0.909638i
$195$	0.807963	+	3.40468i	0.0578594	+	0.243814i
$196$	0.0449192	+	0.494754i	0.00320851	+	0.0353396i
$197$	−7.76422	−	15.0605i	−0.553178	−	1.07302i	−0.985241	−	0.171172i	$-0.945245\pi$
$197$	−7.76422	−	15.0605i	−0.553178	−	1.07302i	0.432063	−	0.901843i	$-0.357786\pi$
$198$	−3.08807	−	0.111616i	−0.219460	−	0.00793222i
$199$	−14.8582	+	3.60455i	−1.05327	+	0.255520i	−0.724774	−	0.688987i	$-0.758056\pi$
$199$	−14.8582	+	3.60455i	−1.05327	+	0.255520i	−0.328493	+	0.944506i	$0.606541\pi$
$200$	6.94114	−	12.5033i	0.490812	−	0.884116i
$201$	6.54196	+	12.5779i	0.461434	+	0.887175i
$202$	8.01521	+	1.36702i	0.563948	+	0.0961834i
$203$	1.69758	+	6.99753i	0.119147	+	0.491130i
$204$	−18.2058	−	6.49862i	−1.27466	−	0.454995i
$205$	14.5426	−	7.49722i	1.01570	−	0.523628i
$206$	−3.75112	−	14.1309i	−0.261353	−	0.984547i
$207$	9.57551	−	3.72279i	0.665544	−	0.258752i
$208$	−2.53895	+	0.218597i	−0.176045	+	0.0151570i
$209$	0.369457	−	0.320136i	0.0255558	−	0.0221443i
$210$	6.51346	−	19.8725i	0.449471	−	1.37134i
$211$	−10.6534	−	13.5469i	−0.733408	−	0.932605i	0.266100	−	0.963945i	$-0.414265\pi$
$211$	−10.6534	−	13.5469i	−0.733408	−	0.932605i	−0.999509	+	0.0313408i	$0.990022\pi$
$212$	4.19029	−	9.06351i	0.287790	−	0.622484i
$213$	6.83979	+	13.4318i	0.468655	+	0.920333i
$214$	5.92357	−	15.7695i	0.404927	−	1.07798i
$215$	−33.6032	−	21.5954i	−2.29172	−	1.47280i
$216$	−2.80759	−	14.4263i	−0.191032	−	0.981584i
$217$	−5.87741	+	8.25366i	−0.398984	+	0.560295i
$218$	5.10239	−	6.78302i	0.345577	−	0.459404i
$219$	0.684799	+	7.57143i	0.0462744	+	0.511630i
$220$	−4.11564	+	2.09755i	−0.277476	+	0.141417i
$221$	2.19765	−	2.79454i	0.147830	−	0.187981i
$222$	21.1910	−	14.1172i	1.42225	−	0.947482i
$223$	12.3151	−	1.77065i	0.824681	−	0.118571i	0.282962	−	0.959131i	$-0.408683\pi$
$223$	12.3151	−	1.77065i	0.824681	−	0.118571i	0.541719	+	0.840560i	$0.317774\pi$
$224$	13.6207	+	6.81365i	0.910070	+	0.455256i
$225$	−10.0472	+	11.3635i	−0.669815	+	0.757566i
$226$	7.90109	−	6.49281i	0.525573	−	0.431895i
$227$	−0.425480	−	8.93192i	−0.0282401	−	0.592832i	−0.967993	−	0.250978i	$-0.919248\pi$
$227$	−0.425480	−	8.93192i	−0.0282401	−	0.592832i	0.939753	−	0.341855i	$-0.111055\pi$
$228$	1.88086	+	1.36692i	0.124563	+	0.0905263i
$229$	3.65009	−	10.5462i	0.241205	−	0.696915i	−0.757808	−	0.652478i	$-0.773729\pi$
$229$	3.65009	−	10.5462i	0.241205	−	0.696915i	0.999012	−	0.0444369i	$-0.0141494\pi$
$230$	9.80587	−	11.8201i	0.646580	−	0.779394i
$231$	−2.68020	+	2.08613i	−0.176344	+	0.137257i
$232$	7.18915	+	2.35360i	0.471991	+	0.154521i
$233$	−5.24442	+	13.0999i	−0.343573	+	0.858204i	0.651462	+	0.758681i	$0.274156\pi$
$233$	−5.24442	+	13.0999i	−0.343573	+	0.858204i	−0.995035	+	0.0995231i	$0.968268\pi$
$234$	2.67965	+	0.353952i	0.175174	+	0.0231385i
$235$	−10.4879	−	2.54433i	−0.684153	−	0.165974i
$236$	5.95399	+	5.20791i	0.387572	+	0.339006i
$237$	−8.17994	−	24.0223i	−0.531344	−	1.56042i
$238$	−19.9246	+	7.37867i	−1.29152	+	0.478288i
$239$	−0.451058	+	0.781255i	−0.0291765	+	0.0505352i	−0.880245	−	0.474520i	$-0.842622\pi$
$239$	−0.451058	+	0.781255i	−0.0291765	+	0.0505352i	0.851068	+	0.525055i	$0.175955\pi$
$240$	−14.1483	−	16.8082i	−0.913270	−	1.08497i
$241$	−12.5138	+	27.4014i	−0.806085	+	1.76508i	−0.182695	+	0.983170i	$0.558482\pi$
$241$	−12.5138	+	27.4014i	−0.806085	+	1.76508i	−0.623390	+	0.781911i	$0.714245\pi$
$242$	−14.6973	−	1.79200i	−0.944778	−	0.115194i
$243$	−0.389674	+	15.5836i	−0.0249976	+	0.999688i
$244$	27.4884	−	6.53321i	1.75976	−	0.418246i
$245$	−0.292756	−	0.731268i	−0.0187035	−	0.0467190i
$246$	−1.40838	−	12.5594i	−0.0897948	−	0.800756i
$247$	−0.348322	+	0.248039i	−0.0221632	+	0.0157823i
$248$	4.12189	+	9.81442i	0.261740	+	0.623216i
$249$	1.10643	+	0.796249i	0.0701169	+	0.0504603i
$250$	−0.0540335	+	0.245633i	−0.00341738	+	0.0155352i
$251$	−24.5706	−	12.6670i	−1.55088	−	0.799536i	−0.551483	−	0.834186i	$-0.685938\pi$
$251$	−24.5706	−	12.6670i	−1.55088	−	0.799536i	−0.999399	+	0.0346503i	$0.988968\pi$
$252$	−12.5500	−	10.1706i	−0.790573	−	0.640687i
$253$	−2.39322	+	0.702714i	−0.150461	+	0.0441792i
$254$	−0.348405	−	0.318206i	−0.0218609	−	0.0199660i
$255$	30.6080	+	1.61146i	1.91675	+	0.100914i
$256$	13.6189	−	8.39803i	0.851178	−	0.524877i
$257$	1.36277	−	14.2716i	0.0850072	−	0.890236i	−0.847909	−	0.530142i	$-0.822139\pi$
$257$	1.36277	−	14.2716i	0.0850072	−	0.890236i	0.932916	−	0.360094i	$-0.117255\pi$
$258$	−24.8349	+	18.3087i	−1.54615	+	1.13985i
$259$	7.88475	−	26.8530i	0.489935	−	1.66856i
$260$	3.75809	−	1.48424i	0.233067	−	0.0920488i
$261$	−6.90808	−	4.08103i	−0.427599	−	0.252609i
$262$	−2.02239	+	27.3806i	−0.124944	+	1.69158i
$263$	−12.9361	−	28.3262i	−0.797676	−	1.74667i	−0.653239	−	0.757152i	$-0.726590\pi$
$263$	−12.9361	−	28.3262i	−0.797676	−	1.74667i	−0.144436	−	0.989514i	$-0.546137\pi$
$264$	0.381111	+	3.54771i	0.0234558	+	0.218347i
$265$	−2.25317	+	15.6712i	−0.138411	+	0.962672i
$266$	2.54947	−	0.176376i	0.156318	−	0.0108143i
$267$	0.726160	+	5.23628i	0.0444403	+	0.320455i
$268$	13.2975	−	9.54861i	0.812276	−	0.583274i
$269$			5.94192i			0.362285i	0.983457	+	0.181143i	$0.0579795\pi$
$269$			5.94192i			0.362285i	−0.983457	+	0.181143i	$0.942020\pi$
$270$	10.8119	+	20.6430i	0.657988	+	1.25629i
$271$	−18.1727	−	2.61284i	−1.10391	−	0.158719i	−0.433824	−	0.900998i	$-0.642836\pi$
$271$	−18.1727	−	2.61284i	−1.10391	−	0.158719i	−0.670091	+	0.742279i	$0.733745\pi$
$272$	−4.42831	+	21.8777i	−0.268506	+	1.32653i
$273$	2.50723	−	1.59364i	0.151745	−	0.0964517i
$274$	10.4484	+	0.771742i	0.631210	+	0.0466226i
$275$	2.66519	−	2.54125i	0.160717	−	0.153243i
$276$	−5.83205	−	10.3305i	−0.351048	−	0.621825i
$277$	−1.06720	−	0.313358i	−0.0641218	−	0.0188279i	0.249514	−	0.968371i	$-0.419729\pi$
$277$	−1.06720	−	0.313358i	−0.0641218	−	0.0188279i	−0.313636	+	0.949543i	$0.601547\pi$
$278$	7.02880	−	3.81679i	0.421559	−	0.228916i
$279$	−2.02578	−	11.1073i	−0.121280	−	0.664979i
$280$	−23.7851	−	4.17071i	−1.42143	−	0.249248i
$281$	−0.866962	+	4.49823i	−0.0517186	+	0.268342i	−0.998578	−	0.0533054i	$-0.983024\pi$
$281$	−0.866962	+	4.49823i	−0.0517186	+	0.268342i	0.946860	+	0.321647i	$0.104236\pi$
$282$	−4.72295	+	6.86916i	−0.281248	+	0.409052i
$283$	4.46968	+	15.2223i	0.265695	+	0.904873i	0.978973	+	0.203992i	$0.0653916\pi$
$283$	4.46968	+	15.2223i	0.265695	+	0.904873i	−0.713278	+	0.700881i	$0.752790\pi$
$284$	14.2244	−	10.0297i	0.844064	−	0.595151i
$285$	−3.47777	−	1.22317i	−0.206005	−	0.0724545i
$286$	−0.640894	−	0.140982i	−0.0378969	−	0.00833643i
$287$	−10.0532	−	9.58573i	−0.593423	−	0.565828i
$288$	−16.0252	+	5.58511i	−0.944293	+	0.329106i
$289$	−8.20212	−	11.5183i	−0.482478	−	0.677545i
$290$	−11.9901	−	0.313355i	−0.704083	−	0.0184008i
$291$	−16.2480	+	9.27279i	−0.952476	+	0.543581i
$292$	8.54052	−	2.02984i	0.499796	−	0.118787i
$293$	−19.4930	−	16.8908i	−1.13880	−	0.986772i	−0.138802	−	0.990320i	$-0.544325\pi$
$293$	−19.4930	−	16.8908i	−1.13880	−	0.986772i	−0.999994	+	0.00354794i	$0.998871\pi$
$294$	−0.608358	+	0.0100214i	−0.0354801	+	0.000584458i
$295$	−11.4088	−	5.21024i	−0.664248	−	0.303352i
$296$	−19.6250	−	21.8936i	−1.14068	−	1.27254i
$297$	0.416215	−	3.76161i	0.0241513	−	0.218271i
$298$	−3.55878	−	9.60975i	−0.206155	−	0.556678i
$299$	2.14232	−	0.412899i	0.123894	−	0.0238786i
$300$	14.6422	+	9.61105i	0.845370	+	0.554894i
$301$	−7.99518	+	32.9566i	−0.460834	+	1.89958i
$302$	−10.8292	+	25.1268i	−0.623153	+	1.44589i
$303$	−2.39613	+	9.66576i	−0.137654	+	0.555284i
$304$	1.25242	−	2.37478i	0.0718310	−	0.136203i
$305$	−38.7968	+	22.3994i	−2.22150	+	1.28258i
$306$	9.58742	−	21.6473i	0.548076	−	1.23749i
$307$	23.3034	+	8.06540i	1.33000	+	0.460317i	0.897379	−	0.441260i	$-0.145468\pi$
$307$	23.3034	+	8.06540i	1.33000	+	0.460317i	0.432619	+	0.901577i	$0.357590\pi$
$308$	2.82571	+	2.71954i	0.161009	+	0.154960i
$309$	17.5993	−	3.30080i	1.00119	−	0.187776i
$310$	−10.7158	−	13.0400i	−0.608616	−	0.740624i
$311$	−3.88873	+	2.49913i	−0.220509	+	0.141713i	−0.646232	−	0.763141i	$-0.723656\pi$
$311$	−3.88873	+	2.49913i	−0.220509	+	0.141713i	0.425723	+	0.904854i	$0.360020\pi$
$312$	−0.0368721	−	3.12086i	−0.00208747	−	0.176684i
$313$	1.06213	+	7.38729i	0.0600353	+	0.417554i	0.997571	+	0.0696641i	$0.0221927\pi$
$313$	1.06213	+	7.38729i	0.0600353	+	0.417554i	−0.937535	+	0.347890i	$0.886898\pi$
$314$	−3.39387	+	1.63888i	−0.191527	+	0.0924874i
$315$	23.6817	+	9.75661i	1.33431	+	0.549723i
$316$	−26.1075	+	13.3058i	−1.46866	+	0.748510i
$317$	17.1881	+	0.818771i	0.965381	+	0.0459868i	0.524348	−	0.851504i	$-0.324309\pi$
$317$	17.1881	+	0.818771i	0.965381	+	0.0459868i	0.441033	+	0.897491i	$0.354612\pi$
$318$	10.6903	+	5.93944i	0.599480	+	0.333067i
$319$	1.58675	+	1.12992i	0.0888408	+	0.0632632i
$320$	−16.8794	+	18.9387i	−0.943589	+	1.05870i
$321$	18.7237	+	8.66424i	1.04506	+	0.483591i
$322$	−12.2062	−	4.58508i	−0.680225	−	0.255517i
$323$	1.22504	+	3.53952i	0.0681630	+	0.196944i
$324$	17.8745	−	2.12162i	0.993029	−	0.117868i
$325$	−2.53200	+	1.99119i	−0.140450	+	0.110451i
$326$	19.2684	+	9.41554i	1.06718	+	0.521478i
$327$	7.82223	+	6.84677i	0.432570	+	0.378627i
$328$	−14.1220	+	3.67844i	−0.779756	+	0.203108i
$329$	0.870946	+	9.12096i	0.0480168	+	0.502855i
$330$	−2.18890	−	5.21690i	−0.120495	−	0.287181i
$331$	−0.439441	−	0.852396i	−0.0241538	−	0.0468519i	0.876450	−	0.481493i	$-0.159905\pi$
$331$	−0.439441	−	0.852396i	−0.0241538	−	0.0468519i	−0.900604	+	0.434641i	$0.856875\pi$
$332$	0.727773	−	1.39568i	0.0399417	−	0.0765981i
$333$	15.3219	+	27.1619i	0.839632	+	1.48846i
$334$	−0.517892	+	3.03654i	−0.0283378	+	0.166152i
$335$	−15.8691	+	20.5409i	−0.867024	+	1.12227i
$336$	−9.55661	+	16.0186i	−0.521356	+	0.873884i
$337$	−5.11053	−	21.0659i	−0.278388	−	1.14753i	−0.923547	−	0.383484i	$-0.874724\pi$
$337$	−5.11053	−	21.0659i	−0.278388	−	1.14753i	0.645159	−	0.764048i	$-0.276791\pi$
$338$	−16.9524	−	5.46263i	−0.922088	−	0.297128i
$339$	7.21411	+	10.2388i	0.391817	+	0.556094i
$340$	−3.20011	−	35.2470i	−0.173550	−	1.91154i
$341$	0.260560	+	2.72871i	0.0141101	+	0.147768i
$342$	−1.84001	+	2.17336i	−0.0994962	+	0.117522i
$343$	13.7374	−	11.9036i	0.741752	−	0.642732i
$344$	25.0158	+	25.3677i	1.34876	+	1.36774i
$345$	13.5481	+	13.0481i	0.729408	+	0.702485i
$346$	−17.5478	−	4.74573i	−0.943373	−	0.255132i
$347$	7.96307	+	23.0078i	0.427480	+	1.23512i	0.929034	+	0.369995i	$0.120641\pi$
$347$	7.96307	+	23.0078i	0.427480	+	1.23512i	−0.501554	+	0.865126i	$0.667238\pi$
$348$	−3.52625	+	8.56742i	−0.189027	+	0.459262i
$349$	−24.2672	−	15.5956i	−1.29899	−	0.834812i	−0.305891	−	0.952067i	$-0.598954\pi$
$349$	−24.2672	−	15.5956i	−1.29899	−	0.834812i	−0.993102	+	0.117255i	$0.962591\pi$
$350$	19.1200	−	2.24093i	1.02201	−	0.119783i
$351$	−0.675184	+	3.24081i	−0.0360386	+	0.172982i
$352$	3.99187	−	1.01996i	0.212767	−	0.0543639i
$353$	−2.53073	−	0.120554i	−0.134697	−	0.00641642i	−0.0198750	−	0.999802i	$-0.506327\pi$
$353$	−2.53073	−	0.120554i	−0.134697	−	0.00641642i	−0.114822	+	0.993386i	$0.536630\pi$
$354$	−6.90051	+	6.80010i	−0.366758	+	0.361421i
$355$	−17.0590	+	21.6923i	−0.905400	+	1.15131i
$356$	5.86489	−	1.69246i	0.310838	−	0.0897001i
$357$	−7.20634	−	25.0044i	−0.381400	−	1.32337i
$358$	−3.15837	−	14.6833i	−0.166925	−	0.776039i
$359$	−19.6213	+	12.6098i	−1.03557	+	0.665522i	−0.943888	−	0.330266i	$-0.892861\pi$
$359$	−19.6213	+	12.6098i	−1.03557	+	0.665522i	−0.0916842	+	0.995788i	$0.529225\pi$
$360$	21.8117	−	15.7571i	1.14958	−	0.830474i
$361$	0.882620	+	18.5285i	0.0464537	+	0.975183i
$362$	1.28667	+	0.875222i	0.0676261	+	0.0460007i
$363$	3.52082	−	17.7887i	0.184795	−	0.933662i
$364$	−2.23436	−	2.60298i	−0.117112	−	0.136433i
$365$	−12.0540	+	6.95938i	−0.630936	+	0.364271i
$366$	5.48815	+	34.1661i	0.286870	+	1.78589i
$367$	1.60296	−	4.00400i	0.0836738	−	0.209007i	−0.880630	−	0.473804i	$-0.842881\pi$
$367$	1.60296	−	4.00400i	0.0836738	−	0.209007i	0.964304	+	0.264797i	$0.0853048\pi$
$368$	−10.8460	+	8.36707i	−0.565387	+	0.436164i
$369$	15.4675	−	0.581849i	0.805205	−	0.0302898i
$370$	39.7502	+	24.3561i	2.06651	+	1.26621i
$371$	13.1987	−	2.54384i	0.685242	−	0.132070i
$372$	−12.3608	+	4.14488i	−0.640877	+	0.214902i
$373$	−2.84896	+	4.93454i	−0.147513	+	0.255501i	−0.930308	−	0.366780i	$-0.880460\pi$
$373$	−2.84896	+	4.93454i	−0.147513	+	0.255501i	0.782794	+	0.622280i	$0.213794\pi$
$374$	−2.76642	+	5.03839i	−0.143048	+	0.260529i
$375$	−0.295116	−	0.0882589i	−0.0152397	−	0.00455767i
$376$	8.62868	+	4.26631i	0.444990	+	0.220018i
$377$	−1.28771	−	1.11581i	−0.0663204	−	0.0574670i
$378$	13.5597	−	14.4065i	0.697435	−	0.740992i
$379$	−8.51672	−	21.2737i	−0.437474	−	1.09276i	−0.969295	−	0.245901i	$-0.920916\pi$
$379$	−8.51672	−	21.2737i	−0.437474	−	1.09276i	0.531820	−	0.846857i	$-0.321508\pi$
$380$	−0.825085	+	4.17619i	−0.0423260	+	0.214234i
$381$	0.420231	−	0.396697i	0.0215291	−	0.0203234i
$382$	15.3696	−	13.9066i	0.786376	−	0.711526i
$383$	−6.57162	−	6.26602i	−0.335794	−	0.320179i	0.503356	−	0.864079i	$-0.332098\pi$
$383$	−6.57162	−	6.26602i	−0.335794	−	0.320179i	−0.839150	+	0.543900i	$0.816947\pi$
$384$	9.02288	+	17.3950i	0.460447	+	0.887687i
$385$	−5.52702	−	2.84938i	−0.281683	−	0.145218i
$386$	20.8093	+	20.9065i	1.05917	+	1.06411i
$387$	−20.1111	−	31.9925i	−1.02231	−	1.62627i
$388$	13.2742	+	17.0423i	0.673896	+	0.865191i
$389$	5.98210	−	31.0381i	0.303304	−	1.57369i	−0.435764	−	0.900061i	$-0.643522\pi$
$389$	5.98210	−	31.0381i	0.303304	−	1.57369i	0.739068	−	0.673631i	$-0.235266\pi$
$390$	1.47222	+	4.72461i	0.0745487	+	0.239240i
$391$	1.81655	−	19.0238i	0.0918669	−	0.962073i
$392$	0.111664	+	0.693636i	0.00563987	+	0.0350339i
$393$	−33.2590	−	4.95177i	−1.67769	−	0.249784i
$394$	−12.4240	−	20.4901i	−0.625914	−	1.03228i
$395$	33.6256	−	32.0620i	1.69189	−	1.61321i
$396$	−4.36767	+	0.143935i	−0.219484	+	0.00723300i
$397$	13.3673	+	29.2703i	0.670885	+	1.46903i	0.872021	+	0.489469i	$0.162809\pi$
$397$	13.3673	+	29.2703i	0.670885	+	1.46903i	−0.201136	+	0.979563i	$0.564463\pi$
$398$	−20.6107	+	6.53566i	−1.03312	+	0.327603i
$399$	−0.0156496	+	3.12988i	−0.000783461	+	0.156690i
$400$	8.57247	−	18.3176i	0.428624	−	0.915882i
$401$			13.4358i			0.670951i	0.942049	+	0.335476i	$0.108897\pi$
$401$			13.4358i			0.670951i	−0.942049	+	0.335476i	$0.891103\pi$
$402$	10.4573	+	17.1069i	0.521563	+	0.853213i
$403$		−	2.39769i		−	0.119437i
$404$	11.4416	+	1.14634i	0.569241	+	0.0570324i
$405$	−26.1930	+	11.3345i	−1.30154	+	0.563214i
$406$	3.07801	+	9.70671i	0.152759	+	0.481736i
$407$	−3.14519	−	6.88700i	−0.155901	−	0.341376i
$408$	−26.3198	−	7.39157i	−1.30302	−	0.365937i
$409$	21.1568	−	20.1730i	1.04614	−	0.997491i	0.0461398	−	0.998935i	$-0.485308\pi$
$409$	21.1568	−	20.1730i	1.04614	−	0.997491i	0.999999	+	0.00144373i	$0.000459555\pi$
$410$	19.7855	−	11.9968i	0.977136	−	0.592479i
$411$	−1.88959	+	12.6916i	−0.0932066	+	0.626029i
$412$	−6.67146	−	19.5703i	−0.328679	−	0.964161i
$413$	−1.01219	+	10.6001i	−0.0498066	+	0.521598i
$414$	13.1462	−	6.18687i	0.646099	−	0.304068i
$415$	−0.472321	+	2.45064i	−0.0231853	+	0.120297i
$416$	−3.56072	+	0.556217i	−0.174579	+	0.0272708i
$417$	4.02472	+	8.93081i	0.197091	+	0.437344i
$418$	0.489998	−	0.487721i	0.0239666	−	0.0238552i
$419$	22.8503	+	11.7801i	1.11631	+	0.575497i	0.914767	−	0.403983i	$-0.132374\pi$
$419$	22.8503	+	11.7801i	1.11631	+	0.575497i	0.201542	+	0.979480i	$0.435405\pi$
$420$	7.24982	−	28.6727i	0.353755	−	1.39909i
$421$	6.26850	+	5.97700i	0.305508	+	0.291301i	0.827287	−	0.561779i	$-0.189883\pi$
$421$	6.26850	+	5.97700i	0.305508	+	0.291301i	−0.521779	+	0.853081i	$0.674731\pi$
$422$	−16.3524	−	18.0727i	−0.796024	−	0.879764i
$423$	−7.96183	−	6.39114i	−0.387117	−	0.310748i
$424$	5.02720	−	13.1962i	0.244142	−	0.640862i
$425$	10.4863	+	26.1936i	0.508662	+	1.27058i
$426$	10.9609	+	18.2826i	0.531055	+	0.885793i
$427$	28.7442	+	24.9070i	1.39103	+	1.20533i
$428$	6.81805	−	22.8264i	0.329563	−	1.10335i
$429$	0.230281	−	0.770002i	0.0111181	−	0.0371760i
$430$	−49.5165	−	27.1880i	−2.38790	−	1.31112i
$431$	13.4206	−	23.2451i	0.646446	−	1.11968i	−0.337519	−	0.941319i	$-0.609588\pi$
$431$	13.4206	−	23.2451i	0.646446	−	1.11968i	0.983965	−	0.178359i	$-0.0570790\pi$
$432$	−5.36912	−	20.0792i	−0.258322	−	0.966059i
$433$	25.5887	−	4.93183i	1.22972	−	0.237008i	0.467302	−	0.884098i	$-0.345226\pi$
$433$	25.5887	−	4.93183i	1.22972	−	0.237008i	0.762414	+	0.647089i	$0.224014\pi$
$434$	−7.48650	+	12.2183i	−0.359364	+	0.586496i
$435$	1.46946	−	14.6161i	0.0704550	−	0.700791i
$436$	6.53662	−	10.0678i	0.313047	−	0.482159i
$437$	−0.854292	+	2.13392i	−0.0408663	+	0.102079i
$438$	1.70514	+	10.6152i	0.0814749	+	0.507216i
$439$	−22.4618	+	12.9683i	−1.07204	+	0.618943i	−0.928738	−	0.370736i	$-0.879106\pi$
$439$	−22.4618	+	12.9683i	−1.07204	+	0.618943i	−0.143303	+	0.989679i	$0.545772\pi$
$440$	−5.60178	+	3.36102i	−0.267054	+	0.160230i
$441$	0.0428988	−	0.743948i	0.00204280	−	0.0354261i
$442$	2.82778	−	4.15716i	0.134504	−	0.197736i
$443$	1.61442	+	33.8908i	0.0767034	+	1.61020i	0.629578	+	0.776938i	$0.283228\pi$
$443$	1.61442	+	33.8908i	0.0767034	+	1.61020i	−0.552874	+	0.833265i	$0.686469\pi$
$444$	28.5193	−	21.9854i	1.35346	−	1.04338i
$445$	−8.14217	+	5.23266i	−0.385976	+	0.248052i
$446$	17.2019	−	3.70011i	0.814532	−	0.175205i
$447$	12.0598	−	3.47567i	0.570408	−	0.164393i
$448$	19.8817	+	8.28354i	0.939320	+	0.391361i
$449$	4.85458	−	6.17310i	0.229102	−	0.291327i	−0.657888	−	0.753116i	$-0.728550\pi$
$449$	4.85458	−	6.17310i	0.229102	−	0.291327i	0.886990	+	0.461789i	$0.152792\pi$
$450$	−13.0659	+	17.0127i	−0.615933	+	0.801988i
$451$	−3.75360	−	0.178806i	−0.176750	−	0.00841964i
$452$	10.5135	−	9.93151i	0.494512	−	0.467139i
$453$	−29.7081	−	15.5041i	−1.39581	−	0.728445i
$454$	−1.47207	−	12.5600i	−0.0690879	−	0.589470i
$455$	4.57573	+	2.94064i	0.214514	+	0.137860i
$456$	2.78701	+	1.74492i	0.130514	+	0.0817136i
$457$	−9.45708	−	27.3244i	−0.442384	−	1.27818i	−0.917316	−	0.398161i	$-0.869649\pi$
$457$	−9.45708	−	27.3244i	−0.442384	−	1.27818i	0.474932	−	0.880023i	$-0.342473\pi$
$458$	4.12034	−	15.2353i	0.192531	−	0.711900i
$459$	25.5707	+	13.6720i	1.19354	+	0.638152i
$460$	12.6808	−	17.6334i	0.591247	−	0.822160i
$461$	−11.1337	+	9.64743i	−0.518550	+	0.449326i	−0.874392	−	0.485220i	$-0.838739\pi$
$461$	−11.1337	+	9.64743i	−0.518550	+	0.449326i	0.355842	+	0.934546i	$0.384194\pi$
$462$	−3.57772	+	3.20479i	−0.166451	+	0.149100i
$463$	3.08264	+	32.2828i	0.143262	+	1.50031i	0.726025	+	0.687668i	$0.241366\pi$
$463$	3.08264	+	32.2828i	0.143262	+	1.50031i	−0.582763	+	0.812642i	$0.698028\pi$
$464$	10.3725	+	2.61887i	0.481530	+	0.121578i
$465$	16.8981	−	11.9062i	0.783633	−	0.552138i
$466$	−6.12044	+	18.9938i	−0.283524	+	0.879870i
$467$	2.60824	+	10.7513i	0.120695	+	0.497511i	0.999783	+	0.0208511i	$0.00663758\pi$
$467$	2.60824	+	10.7513i	0.120695	+	0.497511i	−0.879088	+	0.476660i	$0.841847\pi$
$468$	3.81511	+	0.237825i	0.176354	+	0.0109935i
$469$	20.8866	+	7.02808i	0.964452	+	0.324527i
$470$	−15.0450	−	2.56599i	−0.693976	−	0.118360i
$471$	−1.69410	−	4.29376i	−0.0780602	−	0.197846i
$472$	8.90845	+	6.76640i	0.410045	+	0.311449i
$473$	4.20391	+	8.15445i	0.193296	+	0.374942i
$474$	−13.8853	−	33.0933i	−0.637772	−	1.52003i
$475$	−0.322585	−	3.37827i	−0.0148012	−	0.155006i
$476$	−27.3902	+	12.3549i	−1.25543	+	0.566284i
$477$	−8.22327	+	12.5186i	−0.376518	+	0.573188i
$478$	−0.560118	+	1.14625i	−0.0256192	+	0.0524284i
$479$	−8.79334	+	6.91516i	−0.401778	+	0.315962i	−0.798520	−	0.601968i	$-0.794383\pi$
$479$	−8.79334	+	6.91516i	−0.401778	+	0.315962i	0.396742	+	0.917930i	$0.370141\pi$
$480$	−21.6016	−	22.3328i	−0.985973	−	1.01935i
$481$	2.16604	+	6.25836i	0.0987629	+	0.285357i
$482$	−14.9805	+	39.8804i	−0.682344	+	1.81650i
$483$	6.70647	−	14.4929i	0.305155	−	0.659451i
$484$	−20.9105	−	1.09371i	−0.950475	−	0.0497143i
$485$	−27.9003	−	19.8677i	−1.26689	−	0.902146i
$486$	0.971251	+	22.0240i	0.0440568	+	0.999029i
$487$	−10.7486	−	0.512017i	−0.487063	−	0.0232017i	−0.197386	−	0.980326i	$-0.563245\pi$
$487$	−10.7486	−	0.512017i	−0.487063	−	0.0232017i	−0.289678	+	0.957124i	$0.593548\pi$
$488$	38.1441	−	11.9003i	1.72670	−	0.538701i
$489$	−13.2464	+	22.6808i	−0.599024	+	1.02566i
$490$	−0.484406	−	1.00313i	−0.0218833	−	0.0453168i
$491$	5.06161	+	35.2043i	0.228427	+	1.58875i	0.704737	+	0.709469i	$0.251065\pi$
$491$	5.06161	+	35.2043i	0.228427	+	1.58875i	−0.476310	+	0.879278i	$0.658026\pi$
$492$	−3.21284	−	17.5818i	−0.144846	−	0.792649i
$493$	−12.5554	+	8.06884i	−0.565465	+	0.363402i
$494$	−0.467218	+	0.383941i	−0.0210211	+	0.0172743i
$495$	6.57024	−	2.20066i	0.295310	−	0.0989123i
$496$	6.77325	+	13.4443i	0.304128	+	0.603666i
$497$	22.1408	+	7.66300i	0.993150	+	0.343733i
$498$	1.63871	+	1.01539i	0.0734323	+	0.0455007i
$499$	−7.75593	+	4.47789i	−0.347203	+	0.200458i	−0.663453	−	0.748218i	$-0.730910\pi$
$499$	−7.75593	+	4.47789i	−0.347203	+	0.200458i	0.316250	+	0.948676i	$0.397576\pi$
$500$	−0.0522580	+	0.351823i	−0.00233705	+	0.0157340i
$501$	−3.66184	−	0.907765i	−0.163599	−	0.0405559i
$502$	−35.9016	−	15.4730i	−1.60237	−	0.690593i
$503$	−2.95059	+	12.1625i	−0.131560	+	0.542299i	0.867438	+	0.497546i	$0.165765\pi$
$503$	−2.95059	+	12.1625i	−0.131560	+	0.542299i	−0.998998	+	0.0447533i	$0.985750\pi$
$504$	−18.6987	−	13.1242i	−0.832905	−	0.584597i
$505$	−17.9028	+	3.45048i	−0.796663	+	0.153544i
$506$	−3.30787	+	1.22501i	−0.147053	+	0.0544581i
$507$	8.20847	−	20.2103i	0.364551	−	0.897571i
$508$	−0.522603	−	0.414933i	−0.0231868	−	0.0184097i
$509$	−32.6428	−	14.9075i	−1.44687	−	0.660762i	−0.471605	−	0.881810i	$-0.656325\pi$
$509$	−32.6428	−	14.9075i	−1.44687	−	0.660762i	−0.975263	+	0.221048i	$0.929052\pi$
$510$	43.3403	−	0.713937i	1.91914	−	0.0316137i
$511$	8.93069	+	7.73849i	0.395071	+	0.342331i
$512$	18.3944	−	13.1775i	0.812924	−	0.582370i
$513$	−2.48775	−	2.44434i	−0.109837	−	0.107920i
$514$	0.529691	−	20.2679i	0.0233637	−	0.893980i
$515$	19.0163	+	26.7047i	0.837959	+	1.17675i
$516$	−33.2511	+	28.2547i	−1.46380	+	1.24384i
$517$	1.79392	+	1.71050i	0.0788967	+	0.0752278i
$518$	8.50318	−	38.6549i	0.373608	−	1.69840i
$519$	7.38682	−	21.0025i	0.324245	−	0.921906i
$520$	5.15720	−	2.46084i	0.226158	−	0.107915i
$521$	7.28919	+	24.8247i	0.319345	+	1.08759i	0.950188	+	0.311679i	$0.100891\pi$
$521$	7.28919	+	24.8247i	0.319345	+	1.08759i	−0.630842	+	0.775911i	$0.717291\pi$
$522$	−10.1445	−	5.08343i	−0.444014	−	0.222496i
$523$	7.00920	−	36.3672i	0.306491	−	1.59023i	−0.422931	−	0.906162i	$-0.638999\pi$
$523$	7.00920	−	36.3672i	0.306491	−	1.59023i	0.729422	−	0.684064i	$-0.239789\pi$
$524$	−0.180824	+	38.8270i	−0.00789934	+	1.69617i
$525$	1.00409	+	23.5560i	0.0438221	+	1.02807i
$526$	−21.0156	−	38.7011i	−0.916322	−	1.68745i
$527$	−20.1510	−	5.91687i	−0.877792	−	0.257743i
$528$	0.883958	+	4.96806i	0.0384693	+	0.216207i
$529$	−8.15813	+	7.77876i	−0.354701	+	0.338207i
$530$	−1.64930	+	22.3294i	−0.0716412	+	0.969929i
$531$	−7.68012	−	9.04452i	−0.333289	−	0.392499i
$532$	3.57968	−	0.497676i	0.155199	−	0.0215770i
$533$	3.25357	+	0.467793i	0.140928	+	0.0202624i
$534$	1.53558	+	7.31669i	0.0664510	+	0.316624i
$535$			37.7727i			1.63306i
$536$	17.8287	−	14.7695i	0.770083	−	0.637943i
$537$	18.2203	−	2.52676i	0.786264	−	0.109038i
$538$	0.579954	+	8.38310i	0.0250036	+	0.361421i
$539$	−0.0257470	+	0.179074i	−0.00110900	+	0.00771328i
$540$	17.2686	+	28.0687i	0.743124	+	1.20788i
$541$	6.65834	+	14.5797i	0.286264	+	0.626832i	0.997065	−	0.0765621i	$-0.0243943\pi$
$541$	6.65834	+	14.5797i	0.286264	+	0.626832i	−0.710800	+	0.703394i	$0.751667\pi$
$542$	−25.8939	−	1.91258i	−1.11224	−	0.0821524i
$543$	−1.18560	+	1.49220i	−0.0508791	+	0.0640365i
$544$	−4.11230	+	31.2982i	−0.176313	+	1.34190i
$545$	−5.36209	+	18.2616i	−0.229687	+	0.782242i
$546$	3.38176	−	2.49309i	0.144726	−	0.106695i
$547$	−0.0934971	+	0.979146i	−0.00399765	+	0.0418653i	−0.997251	−	0.0741024i	$-0.976391\pi$
$547$	−0.0934971	+	0.979146i	−0.00399765	+	0.0418653i	0.993253	+	0.115968i	$0.0369969\pi$
$548$	14.8163	+	0.0690023i	0.632923	+	0.00294763i
$549$	−42.2274	+	3.60649i	−1.80222	+	0.153921i
$550$	3.51212	−	3.84543i	0.149757	−	0.163970i
$551$	1.72240	−	0.505743i	0.0733768	−	0.0215454i
$552$	−9.23640	−	14.0055i	−0.393127	−	0.596114i
$553$	−35.0606	−	18.0750i	−1.49093	−	0.768627i
$554$	−1.53623	−	0.337936i	−0.0652683	−	0.0143575i
$555$	−33.3510	+	46.3428i	−1.41567	+	1.96714i
$556$	9.54398	−	6.07093i	0.404755	−	0.257465i
$557$	−4.51883	+	3.21785i	−0.191469	+	0.136345i	−0.671772	−	0.740758i	$-0.734466\pi$
$557$	−4.51883	+	3.21785i	−0.191469	+	0.136345i	0.480302	+	0.877103i	$0.340527\pi$
$558$	−3.94218	−	15.4730i	−0.166886	−	0.655023i
$559$	−2.98254	−	7.45002i	−0.126148	−	0.315102i
$560$	−33.9640	−	3.56270i	−1.43524	−	0.150551i
$561$	−5.90309	−	3.83553i	−0.249229	−	0.161936i
$562$	−0.784102	+	6.43090i	−0.0330753	+	0.271271i
$563$	4.13840	−	9.06183i	0.174413	−	0.381911i	−0.802157	−	0.597114i	$-0.796314\pi$
$563$	4.13840	−	9.06183i	0.174413	−	0.381911i	0.976569	+	0.215203i	$0.0690413\pi$
$564$	−5.99288	+	10.1523i	−0.252346	+	0.427488i
$565$	−11.4657	+	19.8592i	−0.482367	+	0.835484i
$566$	7.79176	+	21.0400i	0.327512	+	0.884378i
$567$	16.3669	+	17.8674i	0.687347	+	0.750359i
$568$	19.0895	−	15.5386i	0.800977	−	0.651986i
$569$	1.09226	+	0.264978i	0.0457897	+	0.0111085i	0.258588	−	0.965988i	$-0.416743\pi$
$569$	1.09226	+	0.264978i	0.0457897	+	0.0111085i	−0.212799	+	0.977096i	$0.568258\pi$
$570$	−5.02596	−	1.38626i	−0.210514	−	0.0580640i
$571$	−9.78124	+	24.4323i	−0.409332	+	1.02246i	0.570260	+	0.821464i	$0.306843\pi$
$571$	−9.78124	+	24.4323i	−0.409332	+	1.02246i	−0.979592	+	0.200998i	$0.935582\pi$
$572$	−0.917961	−	0.136349i	−0.0383819	−	0.00570105i
$573$	15.5924	+	20.0326i	0.651380	+	0.836875i
$574$	−15.1191	−	12.5427i	−0.631059	−	0.523523i
$575$	−5.66316	+	16.3626i	−0.236170	+	0.682369i
$576$	−22.0639	+	9.44382i	−0.919328	+	0.393493i
$577$	−1.15975	−	24.3461i	−0.0482809	−	1.01354i	−0.884907	−	0.465767i	$-0.845778\pi$
$577$	−1.15975	−	24.3461i	−0.0482809	−	1.01354i	0.836626	−	0.547774i	$-0.184525\pi$
$578$	−12.6961	−	15.4499i	−0.528089	−	0.642631i
$579$	−27.4210	+	23.5214i	−1.13958	+	0.977515i
$580$	−16.9467	+	0.728186i	−0.703674	+	0.0302363i
$581$	2.09731	−	0.301547i	0.0870110	−	0.0125103i
$582$	−22.0183	+	14.6683i	−0.912689	+	0.608021i
$583$	2.24784	−	2.85836i	0.0930959	−	0.118381i
$584$	11.8512	−	3.69737i	0.490406	−	0.152998i
$585$	−5.90401	+	1.36993i	−0.244101	+	0.0566396i
$586$	−29.1502	−	21.9277i	−1.20418	−	0.905824i
$587$	24.2913	−	34.1124i	1.00261	−	1.40797i	0.0914989	−	0.995805i	$-0.470834\pi$
$587$	24.2913	−	34.1124i	1.00261	−	1.40797i	0.911110	−	0.412163i	$-0.135226\pi$
$588$	−0.857318	+	0.0735166i	−0.0353552	+	0.00303177i
$589$	2.12506	+	1.36570i	0.0875618	+	0.0562725i
$590$	−16.6046	−	6.23727i	−0.683600	−	0.256785i
$591$	26.1524	−	13.3174i	1.07577	−	0.547806i
$592$	−29.8247	−	28.9729i	−1.22579	−	1.19078i
$593$	−26.1989	−	33.3146i	−1.07586	−	1.36807i	−0.925199	−	0.379483i	$-0.876102\pi$
$593$	−26.1989	−	33.3146i	−1.07586	−	1.36807i	−0.150662	−	0.988585i	$-0.548141\pi$
$594$	0.220066	−	5.34766i	0.00902942	−	0.219417i
$595$	36.0059	−	31.1993i	1.47610	−	1.27905i
$596$	−5.95883	−	13.2105i	−0.244083	−	0.541122i
$597$	−6.11451	−	25.7660i	−0.250250	−	1.05453i
$598$	2.98218	−	0.791634i	0.121950	−	0.0323723i
$599$	25.1009	−	12.9404i	1.02560	−	0.528731i	0.138522	−	0.990359i	$-0.455765\pi$
$599$	25.1009	−	12.9404i	1.02560	−	0.528731i	0.887073	+	0.461628i	$0.152735\pi$
$600$	21.5960	+	12.1305i	0.881651	+	0.495227i
$601$	4.83990	+	19.9503i	0.197424	+	0.813792i	0.981239	+	0.192797i	$0.0617559\pi$
$601$	4.83990	+	19.9503i	0.197424	+	0.813792i	−0.783815	+	0.620994i	$0.786729\pi$
$602$	−8.06324	+	47.2768i	−0.328633	+	1.92686i
$603$	−21.8419	+	11.2219i	−0.889471	+	0.456992i
$604$	−12.8259	+	36.5070i	−0.521877	+	1.48545i
$605$	32.2644	−	7.82725i	1.31173	−	0.318223i
$606$	−2.43714	+	13.8707i	−0.0990019	+	0.563460i
$607$	−13.0368	−	25.2880i	−0.529149	−	1.02641i	−0.990282	−	0.139075i	$-0.955587\pi$
$607$	−13.0368	−	25.2880i	−0.529149	−	1.02641i	0.461133	−	0.887331i	$-0.347443\pi$
$608$	1.53517	−	3.47268i	0.0622595	−	0.140836i
$609$	−12.1346	+	2.87966i	−0.491720	+	0.116690i
$610$	−52.5499	+	35.3887i	−2.12768	+	1.43285i
$611$	−1.41983	−	1.63858i	−0.0574404	−	0.0662897i
$612$	11.4135	−	31.4767i	0.461362	−	1.27237i
$613$	−7.19186	+	5.65574i	−0.290476	+	0.228433i	−0.752754	−	0.658302i	$-0.771275\pi$
$613$	−7.19186	+	5.65574i	−0.290476	+	0.228433i	0.462277	+	0.886735i	$0.347032\pi$
$614$	33.6647	+	9.10450i	1.35860	+	0.367428i
$615$	12.8595	+	25.2531i	0.518543	+	1.01830i
$616$	4.25206	+	3.56104i	0.171320	+	0.143478i
$617$	14.6781	−	22.8396i	0.590918	−	0.919487i	−0.409057	−	0.912509i	$-0.634142\pi$
$617$	14.6781	−	22.8396i	0.590918	−	0.919487i	0.999976	−	0.00697814i	$-0.00222123\pi$
$618$	24.5076	−	6.37467i	0.985841	−	0.256427i
$619$	−18.8152	−	13.3982i	−0.756246	−	0.538520i	0.135652	−	0.990756i	$-0.456687\pi$
$619$	−18.8152	−	13.3982i	−0.756246	−	0.538520i	−0.891898	+	0.452236i	$0.850626\pi$
$620$	−16.3910	−	17.3515i	−0.658280	−	0.696853i
$621$	6.36506	+	16.6173i	0.255421	+	0.666829i
$622$	−5.24245	+	3.90543i	−0.210203	+	0.156594i
$623$	6.45910	+	5.07949i	0.258778	+	0.203505i
$624$	−0.356628	−	4.39943i	−0.0142766	−	0.176118i
$625$	3.51752	+	24.4649i	0.140701	+	0.978595i
$626$	2.21953	+	10.3186i	0.0887102	+	0.412415i
$627$	0.551285	+	0.642682i	0.0220162	+	0.0256662i
$628$	−4.62825	+	2.64346i	−0.184687	+	0.105485i
$629$	57.9427	−	2.76015i	2.31033	−	0.110054i
$630$	34.3634	+	11.4536i	1.36907	+	0.456322i
$631$	−12.6954	−	4.39392i	−0.505396	−	0.174919i	0.0624595	−	0.998048i	$-0.480106\pi$
$631$	−12.6954	−	4.39392i	−0.505396	−	0.174919i	−0.567856	+	0.823128i	$0.692227\pi$
$632$	−35.5348	+	21.3206i	−1.41350	+	0.848087i
$633$	23.5558	−	18.3346i	0.936260	−	0.728736i
$634$	24.3296	−	0.522471i	0.966253	−	0.0207500i
$635$	0.982251	+	0.393234i	0.0389795	+	0.0156050i
$636$	15.6620	+	7.33619i	0.621038	+	0.290899i
$637$	0.0373086	−	0.153788i	0.00147822	−	0.00609331i
$638$	2.34893	+	1.43926i	0.0929952	+	0.0569809i
$639$	−23.3235	+	11.7304i	−0.922664	+	0.464047i
$640$	−21.9657	+	28.3670i	−0.868272	+	1.12130i
$641$	24.7123	+	14.2677i	0.976078	+	0.563539i	0.901084	−	0.433645i	$-0.142773\pi$
$641$	24.7123	+	14.2677i	0.976078	+	0.563539i	0.0749942	+	0.997184i	$0.476106\pi$
$642$	27.2619	+	10.3964i	1.07594	+	0.410312i
$643$	−2.33112	−	1.06459i	−0.0919305	−	0.0419833i	0.368919	−	0.929462i	$-0.379728\pi$
$643$	−2.33112	−	1.06459i	−0.0919305	−	0.0419833i	−0.460850	+	0.887478i	$0.652455\pi$
$644$	−17.6685	−	5.27745i	−0.696238	−	0.207961i
$645$	37.6950	−	58.0147i	1.48424	−	2.28432i
$646$	2.07381	+	4.87413i	0.0815928	+	0.191770i
$647$	29.4188	−	11.7775i	1.15657	−	0.463022i	0.287536	−	0.957770i	$-0.407164\pi$
$647$	29.4188	−	11.7775i	1.15657	−	0.463022i	0.869036	+	0.494748i	$0.164740\pi$
$648$	25.0110	−	4.73789i	0.982527	−	0.186122i
$649$	1.67096	+	2.34654i	0.0655909	+	0.0921096i
$650$	−3.37791	+	3.05639i	−0.132492	+	0.119881i
$651$	−14.2447	−	10.2513i	−0.558293	−	0.401781i
$652$	28.1037	+	11.4032i	1.10062	+	0.446582i
$653$	16.8821	−	32.7466i	0.660646	−	1.28147i	−0.285700	−	0.958319i	$-0.592226\pi$
$653$	16.8821	−	32.7466i	0.660646	−	1.28147i	0.946346	−	0.323155i	$-0.104744\pi$
$654$	11.7042	+	8.89623i	0.457670	+	0.347870i
$655$	−17.3444	−	59.0697i	−0.677703	−	2.30805i
$656$	−19.5649	+	6.56805i	−0.763879	+	0.256439i
$657$	−13.1199	+	1.12052i	−0.511855	+	0.0437157i
$658$	2.11901	+	12.7832i	0.0826075	+	0.498342i
$659$	4.60951	+	0.440154i	0.179561	+	0.0171460i	0.184449	−	0.982842i	$-0.440950\pi$
$659$	4.60951	+	0.440154i	0.179561	+	0.0171460i	−0.00488822	+	0.999988i	$0.501556\pi$
$660$	−3.59738	−	7.14657i	−0.140028	−	0.278180i
$661$	−11.2048	−	3.29003i	−0.435817	−	0.127967i	0.0564623	−	0.998405i	$-0.482018\pi$
$661$	−11.2048	−	3.29003i	−0.435817	−	0.127967i	−0.492279	+	0.870437i	$0.663836\pi$
$662$	−0.703178	−	1.15970i	−0.0273298	−	0.0450732i
$663$	4.82120	+	3.83060i	0.187240	+	0.148768i
$664$	0.890548	−	2.04012i	0.0345599	−	0.0791721i
$665$	−5.21257	+	2.38050i	−0.202135	+	0.0923119i
$666$	24.2678	+	36.8257i	0.940359	+	1.42697i
$667$	−9.06579	−	1.30346i	−0.351029	−	0.0504703i
$668$	−0.434286	+	4.33462i	−0.0168030	+	0.167711i
$669$	2.96016	+	21.3455i	0.114446	+	0.825264i
$670$	−20.3840	+	30.5288i	−0.787502	+	1.17943i
$671$	10.2893			0.397214
$672$	−11.9194	+	23.5324i	−0.459801	+	0.907782i
$673$	2.76286	−	19.2161i	0.106500	−	0.740726i	−0.864670	−	0.502340i	$-0.832473\pi$
$673$	2.76286	−	19.2161i	0.106500	−	0.740726i	0.971171	−	0.238386i	$-0.0766183\pi$
$674$	−9.26626	−	29.2218i	−0.356923	−	1.12558i
$675$	−19.5949	−	17.5005i	−0.754208	−	0.673594i
$676$	−24.4503	−	6.05229i	−0.940396	−	0.232780i
$677$	−24.2581	−	25.4411i	−0.932314	−	0.977783i	0.0674874	−	0.997720i	$-0.478502\pi$
$677$	−24.2581	−	25.4411i	−0.932314	−	0.977783i	−0.999801	+	0.0199375i	$0.993653\pi$
$678$	11.1773	+	13.7412i	0.429262	+	0.527726i
$679$	−8.19258	+	27.9014i	−0.314402	+	1.07076i
$680$	−7.95509	−	49.4156i	−0.305064	−	1.89500i
$681$	15.4740	−	0.659591i	0.592966	−	0.0252756i
$682$	0.633942	+	3.82435i	0.0242749	+	0.146442i
$683$	−39.1945	−	7.55413i	−1.49974	−	0.289051i	−0.627687	−	0.778466i	$-0.715998\pi$
$683$	−39.1945	−	7.55413i	−1.49974	−	0.289051i	−0.872051	+	0.489415i	$0.837210\pi$
$684$	−2.38383	+	3.24586i	−0.0911480	+	0.124109i
$685$	−22.5409	+	6.61861i	−0.861245	+	0.252884i
$686$	18.2195	−	18.1349i	0.695624	−	0.692392i
$687$	18.2348	+	6.41339i	0.695700	+	0.244686i
$688$	37.7693	+	33.3482i	1.43994	+	1.27139i
$689$	−2.19496	+	2.30201i	−0.0836214	+	0.0876996i
$690$	20.3878	+	17.0864i	0.776151	+	0.650469i
$691$	11.9005	−	8.47430i	0.452716	−	0.322377i	−0.330853	−	0.943682i	$-0.607336\pi$
$691$	11.9005	−	8.47430i	0.452716	−	0.322377i	0.783569	+	0.621305i	$0.213397\pi$
$692$	−25.2203	−	4.98274i	−0.958732	−	0.189415i
$693$	−3.59002	−	4.66025i	−0.136374	−	0.177028i
$694$	13.4803	+	31.6831i	0.511704	+	1.20267i
$695$	−11.7447	+	13.5541i	−0.445503	+	0.514138i
$696$	−4.13877	+	12.4314i	−0.156880	+	0.471213i
$697$	11.9605	−	26.1898i	0.453035	−	0.992009i
$698$	−35.7593	−	19.6343i	−1.35351	−	0.743170i
$699$	−22.6440	−	9.19693i	−0.856476	−	0.347860i
$700$	26.7565	−	5.02778i	1.01130	−	0.190032i
$701$	−3.16019	−	16.3966i	−0.119359	−	0.619292i	−0.991507	−	0.130051i	$-0.958486\pi$
$701$	−3.16019	−	16.3966i	−0.119359	−	0.619292i	0.872149	−	0.489241i	$-0.162726\pi$
$702$	−0.636261	+	4.63817i	−0.0240141	+	0.175057i
$703$	−6.78052	−	1.64494i	−0.255732	−	0.0620400i
$704$	5.53235	−	1.82862i	0.208508	−	0.0689187i
$705$	4.49768	−	18.1432i	0.169392	−	0.683314i
$706$	−3.58223	+	0.0769272i	−0.134819	+	0.00289519i
$707$	7.73957	+	13.4053i	0.291077	+	0.504159i
$708$	−9.07181	+	10.2674i	−0.340939	+	0.385872i
$709$	6.75902	−	19.5289i	0.253840	−	0.733424i	−0.744027	−	0.668150i	$-0.767087\pi$
$709$	6.75902	−	19.5289i	0.253840	−	0.733424i	0.997867	−	0.0652743i	$-0.0207922\pi$
$710$	−21.9503	+	32.2695i	−0.823782	+	1.21105i
$711$	41.6782	−	13.9599i	1.56306	−	0.523536i
$712$	8.10923	−	2.96023i	0.303906	−	0.110939i
$713$	−6.96803	−	10.8425i	−0.260955	−	0.406054i
$714$	−12.6075	−	34.5738i	−0.471825	−	1.29389i
$715$	1.45648	−	0.209410i	0.0544692	−	0.00783149i
$716$	−5.88912	−	20.4076i	−0.220087	−	0.762668i
$717$	−1.34925	−	0.788012i	−0.0503887	−	0.0294288i
$718$	−26.4518	+	19.7056i	−0.987171	+	0.735406i
$719$	−0.0411406	+	0.863647i	−0.00153428	+	0.0322086i	−0.999505	−	0.0314714i	$-0.989981\pi$
$719$	−0.0411406	+	0.863647i	−0.00153428	+	0.0322086i	0.997970	+	0.0636800i	$0.0202837\pi$
$720$	29.2349	−	24.3597i	1.08952	−	0.907833i
$721$	16.1448	−	22.6722i	0.601264	−	0.844357i
$722$	3.05369	+	26.0546i	0.113647	+	0.969652i
$723$	−47.3517	−	21.9116i	−1.76103	−	0.814901i
$724$	1.90072	+	1.10922i	0.0706397	+	0.0412237i
$725$	12.7787	−	4.42276i	0.474590	−	0.164257i
$726$	3.23108	−	25.4406i	0.119917	−	0.944190i
$727$	−0.557914	−	0.709446i	−0.0206919	−	0.0263119i	0.775597	−	0.631228i	$-0.217449\pi$
$727$	−0.557914	−	0.709446i	−0.0206919	−	0.0263119i	−0.796289	+	0.604916i	$0.793206\pi$
$728$	−3.40639	−	3.45432i	−0.126249	−	0.128025i
$729$	−26.9879	−	0.809884i	−0.999550	−	0.0299957i
$730$	−16.3270	+	10.9951i	−0.604290	+	0.406947i
$731$	−69.9727	+	6.68158i	−2.58803	+	0.247127i
$732$	11.0776	+	47.6672i	0.409442	+	1.76183i
$733$	40.1467	−	20.6971i	1.48285	−	0.764464i	0.488701	−	0.872451i	$-0.337471\pi$
$733$	40.1467	−	20.6971i	1.48285	−	0.764464i	0.994152	+	0.107987i	$0.0344406\pi$
$734$	1.87072	−	5.80546i	0.0690494	−	0.214284i
$735$	1.26911	−	0.500728i	0.0468120	−	0.0184696i
$736$	−14.4853	+	12.8632i	−0.533936	+	0.474145i
$737$	5.51539	−	2.26333i	0.203162	−	0.0833709i
$738$	21.7654	−	2.33058i	0.801195	−	0.0857899i
$739$	−16.4468	+	3.98994i	−0.605004	+	0.146772i	−0.526548	−	0.850145i	$-0.676514\pi$
$739$	−16.4468	+	3.98994i	−0.605004	+	0.146772i	−0.0784557	+	0.996918i	$0.524999\pi$
$740$	58.4584	+	30.4829i	2.14898	+	1.12057i
$741$	−0.426594	−	0.605452i	−0.0156713	−	0.0222418i
$742$	18.3730	−	4.87720i	0.674493	−	0.179048i
$743$	22.8843	−	2.18518i	0.839542	−	0.0801665i	0.333579	−	0.942722i	$-0.391743\pi$
$743$	22.8843	−	2.18518i	0.839542	−	0.0801665i	0.505962	+	0.862556i	$0.331137\pi$
$744$	−17.0346	+	7.05423i	−0.624517	+	0.258621i
$745$	15.0476	+	17.3659i	0.551303	+	0.636237i
$746$	−3.53780	+	7.23992i	−0.129528	+	0.265072i
$747$	−1.38871	+	1.90947i	−0.0508102	+	0.0698637i
$748$	−3.41121	+	7.37839i	−0.124726	+	0.269781i
$749$	30.3052	−	10.4887i	1.10733	−	0.383250i
$750$	−0.424976	−	0.0957149i	−0.0155179	−	0.00349501i
$751$	22.3934	−	34.8447i	0.817145	−	1.27150i	−0.142361	−	0.989815i	$-0.545469\pi$
$751$	22.3934	−	34.8447i	0.817145	−	1.27150i	0.959506	−	0.281688i	$-0.0908942\pi$
$752$	12.5901	+	5.17689i	0.459114	+	0.188782i
$753$	22.1524	−	42.4473i	0.807280	−	1.54687i
$754$	−1.92566	−	1.44854i	−0.0701285	−	0.0527528i
$755$	2.91928	−	61.2831i	0.106243	−	2.23032i
$756$	17.7244	−	21.6488i	0.644632	−	0.787359i
$757$	−37.5116	−	29.4994i	−1.36338	−	1.07217i	−0.989474	−	0.144709i	$-0.953775\pi$
$757$	−37.5116	−	29.4994i	−1.36338	−	1.07217i	−0.373907	−	0.927466i	$-0.621982\pi$
$758$	−14.0921	−	29.1826i	−0.511850	−	1.05996i
$759$	−1.19639	−	4.15122i	−0.0434264	−	0.150680i
$760$	−0.756452	+	5.97248i	−0.0274394	+	0.216645i
$761$	1.03225	+	1.60622i	0.0374192	+	0.0582254i	0.859459	−	0.511204i	$-0.170800\pi$
$761$	1.03225	+	1.60622i	0.0374192	+	0.0582254i	−0.822040	+	0.569430i	$0.807164\pi$
$762$	0.554160	−	0.600693i	0.0200751	−	0.0217608i
$763$	16.1403	−	0.768857i	0.584318	−	0.0278345i
$764$	20.3267	−	21.1202i	0.735394	−	0.764102i
$765$	−3.05618	+	53.0000i	−0.110496	+	1.91622i
$766$	−9.88310	−	8.19895i	−0.357091	−	0.296240i
$767$	−1.25988	−	2.18218i	−0.0454917	−	0.0787939i
$768$	14.4277	+	23.6610i	0.520614	+	0.853792i
$769$	−16.6202	−	6.65372i	−0.599339	−	0.239939i	0.0520978	−	0.998642i	$-0.483409\pi$
$769$	−16.6202	−	6.65372i	−0.599339	−	0.239939i	−0.651437	+	0.758703i	$0.725833\pi$
$770$	−8.07586	−	3.48056i	−0.291034	−	0.125431i
$771$	24.7070	+	2.48395i	0.889799	+	0.0894573i
$772$	31.3992	+	27.4647i	1.13008	+	0.988475i
$773$	3.18149	+	16.5071i	0.114430	+	0.593721i	0.993195	+	0.116465i	$0.0371563\pi$
$773$	3.18149	+	16.5071i	0.114430	+	0.593721i	−0.878765	+	0.477256i	$0.841632\pi$
$774$	−31.4962	−	43.1734i	−1.13211	−	1.55183i
$775$	16.4793	+	9.51433i	0.591954	+	0.341765i
$776$	20.3912	+	22.7483i	0.732001	+	0.816618i
$777$	46.4419	+	13.8892i	1.66609	+	0.498271i
$778$	5.41035	−	44.3737i	0.193971	−	1.59087i
$779$	−2.26780	+	2.61718i	−0.0812525	+	0.0937704i
$780$	2.53821	+	6.52198i	0.0908823	+	0.233524i
$781$	5.88430	−	2.35572i	0.210557	−	0.0842942i
$782$	0.706070	−	27.0168i	0.0252490	−	0.966120i
$783$	7.12828	−	11.9296i	0.254744	−	0.426331i
$784$	0.225241	+	0.967711i	0.00804434	+	0.0345611i
$785$	5.83187	−	6.11628i	0.208148	−	0.218300i
$786$	−47.4064	−	3.73996i	−1.69093	−	0.133400i
$787$	−19.6167	+	38.0511i	−0.699260	+	1.35637i	0.224905	+	0.974381i	$0.427793\pi$
$787$	−19.6167	+	38.0511i	−0.699260	+	1.35637i	−0.924165	+	0.381994i	$0.875237\pi$
$788$	−19.5283	−	27.6957i	−0.695666	−	0.986619i
$789$	49.1738	−	22.1604i	1.75063	−	0.788932i
$790$	44.3110	−	48.5163i	1.57652	−	1.72613i
$791$	19.1169	+	3.68449i	0.679720	+	0.131005i
$792$	−6.14804	+	0.629371i	−0.218461	+	0.0223637i
$793$	−8.95939	−	0.855518i	−0.318157	−	0.0303803i
$794$	21.7160	+	39.9910i	0.770672	+	1.41923i
$795$	−27.1234	−	4.03828i	−0.961968	−	0.143223i
$796$	−28.4405	+	11.2325i	−1.00805	+	0.398124i
$797$	4.44128	+	4.65788i	0.157318	+	0.164991i	0.797676	−	0.603086i	$-0.206062\pi$
$797$	4.44128	+	4.65788i	0.157318	+	0.164991i	−0.640358	+	0.768077i	$0.721214\pi$
$798$	0.283409	+	4.41729i	0.0100326	+	0.156370i
$799$	−17.2750	+	7.88921i	−0.611144	+	0.279100i
$800$	10.3065	−	26.6800i	0.364391	−	0.943280i
$801$	−9.07569	+	1.21238i	−0.320674	+	0.0428374i
$802$	1.31138	+	18.9558i	0.0463066	+	0.669351i
$803$	3.19684			0.112814
$804$	16.4233	+	23.1144i	0.579205	+	0.815182i
$805$	29.2376			1.03049
$806$	−0.234024	−	3.38276i	−0.00824313	−	0.119153i
$807$	−10.2916	−	0.0514587i	−0.362281	−	0.00181143i
$808$	16.2542	+	0.500554i	0.571820	+	0.0176094i
$809$	33.5521	−	15.3227i	1.17963	−	0.538718i	0.273562	−	0.961854i	$-0.411798\pi$
$809$	33.5521	−	15.3227i	1.17963	−	0.538718i	0.906066	+	0.423137i	$0.139071\pi$
$810$	−35.8479	+	18.5477i	−1.25957	+	0.651699i
$811$	19.4104	+	20.3570i	0.681590	+	0.714832i	0.970116	−	0.242641i	$-0.0780136\pi$
$811$	19.4104	+	20.3570i	0.681590	+	0.714832i	−0.288526	+	0.957472i	$0.593165\pi$
$812$	5.28999	+	13.3942i	0.185642	+	0.470045i
$813$	4.68290	−	31.4531i	0.164237	−	1.10311i
$814$	−5.10956	−	9.40949i	−0.179090	−	0.329802i
$815$	−47.8709	−	4.57112i	−1.67684	−	0.160119i
$816$	−37.8544	−	7.85943i	−1.32517	−	0.275135i
$817$	8.30175	+	1.60003i	0.290442	+	0.0559780i
$818$	27.8800	−	30.5259i	0.974801	−	1.06731i
$819$	2.73852	+	4.35640i	0.0956918	+	0.152225i
$820$	26.7433	−	18.8567i	0.933916	−	0.658505i
$821$	−1.54563	+	2.99811i	−0.0539429	+	0.104635i	−0.914266	−	0.405115i	$-0.867232\pi$
$821$	−1.54563	+	2.99811i	−0.0539429	+	0.104635i	0.860323	+	0.509749i	$0.170262\pi$
$822$	−1.42716	+	18.0902i	−0.0497781	+	0.630969i
$823$	4.57756	−	4.80080i	0.159564	−	0.167345i	−0.639099	−	0.769124i	$-0.720693\pi$
$823$	4.57756	−	4.80080i	0.159564	−	0.167345i	0.798663	+	0.601779i	$0.205541\pi$
$824$	−11.3225	−	26.9595i	−0.394439	−	0.939178i
$825$	4.37844	+	4.63819i	0.152438	+	0.161481i
$826$	−0.393425	+	15.0539i	−0.0136890	+	0.523792i
$827$	−45.4726	+	18.2045i	−1.58124	+	0.633032i	−0.985428	−	0.170094i	$-0.945593\pi$
$827$	−45.4726	+	18.2045i	−1.58124	+	0.633032i	−0.595810	+	0.803126i	$0.703169\pi$
$828$	17.9433	−	10.0118i	0.623572	−	0.347935i
$829$	26.5133	−	30.5980i	0.920846	−	1.06271i	−0.0769947	−	0.997031i	$-0.524532\pi$
$829$	26.5133	−	30.5980i	0.920846	−	1.06271i	0.997841	−	0.0656813i	$-0.0209221\pi$
$830$	−0.427179	+	3.50356i	−0.0148276	+	0.121610i
$831$	0.551987	−	1.84571i	0.0191482	−	0.0640268i
$832$	−4.96933	+	1.13227i	−0.172280	+	0.0392546i
$833$	−1.20042	−	0.693063i	−0.0415921	−	0.0240132i
$834$	6.54993	+	12.2071i	0.226805	+	0.422698i
$835$	−1.30720	−	6.78241i	−0.0452376	−	0.234715i
$836$	0.643706	−	0.735923i	0.0222630	−	0.0254524i
$837$	19.2558	−	3.41252i	0.665577	−	0.117954i
$838$	33.3879	+	14.3896i	1.15337	+	0.497081i
$839$	1.45491	+	0.582458i	0.0502291	+	0.0201087i	0.396641	−	0.917974i	$-0.370176\pi$
$839$	1.45491	+	0.582458i	0.0502291	+	0.0201087i	−0.346412	+	0.938083i	$0.612600\pi$
$840$	7.42978	−	41.1603i	0.256352	−	1.42016i
$841$	−10.9235	−	18.9201i	−0.376674	−	0.652418i
$842$	9.42724	+	7.82077i	0.324884	+	0.269522i
$843$	−7.78355	−	1.54056i	−0.268080	−	0.0530597i
$844$	−24.8347	−	23.9016i	−0.854844	−	0.822727i
$845$	39.8924	−	1.90031i	1.37234	−	0.0653726i
$846$	−11.8567	−	8.23977i	−0.407641	−	0.283289i
$847$	−15.2390	−	23.7123i	−0.523618	−	0.814766i
$848$	5.80458	−	19.1084i	0.199330	−	0.656184i
$849$	−26.4042	+	7.60978i	−0.906190	+	0.261167i
$850$	17.3511	+	35.9315i	0.595139	+	1.23244i
$851$	27.9827	+	22.0058i	0.959233	+	0.754349i
$852$	17.2485	+	24.7240i	0.590923	+	0.847030i
$853$	0.817198	−	17.1551i	0.0279803	−	0.587380i	−0.940726	−	0.339168i	$-0.889854\pi$
$853$	0.817198	−	17.1551i	0.0279803	−	0.587380i	0.968706	−	0.248211i	$-0.0798426\pi$
$854$	42.9845	+	32.3343i	1.47090	+	1.10646i
$855$	2.14869	−	6.01300i	0.0734836	−	0.205640i
$856$	7.39125	−	32.8698i	0.252628	−	1.12347i
$857$	−25.5034	+	39.6840i	−0.871179	+	1.35558i	0.0627151	+	0.998031i	$0.480024\pi$
$857$	−25.5034	+	39.6840i	−0.871179	+	1.35558i	−0.933894	+	0.357550i	$0.883612\pi$
$858$	0.249735	−	1.10883i	0.00852581	−	0.0378547i
$859$	11.0023	−	3.80795i	0.375395	−	0.129925i	−0.132854	−	0.991136i	$-0.542414\pi$
$859$	11.0023	−	3.80795i	0.375395	−	0.129925i	0.508249	+	0.861210i	$0.330293\pi$
$860$	−72.5136	−	33.5249i	−2.47269	−	1.14319i
$861$	16.6898	−	17.3295i	0.568788	−	0.590587i
$862$	16.6655	−	34.1051i	0.567629	−	1.16162i
$863$	28.1077	+	32.4381i	0.956799	+	1.10420i	0.994481	+	0.104915i	$0.0334570\pi$
$863$	28.1077	+	32.4381i	0.956799	+	1.10420i	−0.0376824	+	0.999290i	$0.511998\pi$
$864$	−9.53479	−	27.8045i	−0.324380	−	0.945927i
$865$	40.5769	−	3.87462i	1.37965	−	0.131741i
$866$	35.6203	−	9.45559i	1.21043	−	0.321314i
$867$	20.0210	−	14.1066i	0.679949	−	0.479084i
$868$	−9.36972	+	17.9688i	−0.318029	+	0.609899i
$869$	−10.3704	+	2.51582i	−0.351790	+	0.0853433i
$870$	0.646577	−	20.7645i	0.0219210	−	0.703982i
$871$	−4.99070	+	1.51221i	−0.169104	+	0.0512392i
$872$	8.23947	−	14.8420i	0.279024	−	0.502615i
$873$	−15.9200	−	28.2224i	−0.538812	−	0.955182i
$874$	−0.996992	+	3.09400i	−0.0337238	+	0.104656i
$875$	−0.425574	+	0.219399i	−0.0143870	+	0.00741703i
$876$	3.44178	+	14.8100i	0.116287	+	0.500384i
$877$	46.8458	−	4.47323i	1.58187	−	0.151050i	0.733215	−	0.679997i	$-0.238019\pi$
$877$	46.8458	−	4.47323i	1.58187	−	0.151050i	0.848655	+	0.528947i	$0.177413\pi$
$878$	−30.4242	+	20.4886i	−1.02677	+	0.691456i
$879$	29.4242	−	33.6162i	0.992454	−	1.13385i
$880$	−7.57518	+	5.28862i	−0.255359	+	0.178279i
$881$	11.8410	+	15.0571i	0.398934	+	0.507285i	0.943473	−	0.331450i	$-0.107538\pi$
$881$	11.8410	+	15.0571i	0.398934	+	0.507285i	−0.544539	+	0.838735i	$0.683295\pi$
$882$	−0.0120888	−	1.05378i	−0.000407050	−	0.0354826i
$883$	−24.7559	+	8.56810i	−0.833103	+	0.288340i	−0.710130	−	0.704070i	$-0.751364\pi$
$883$	−24.7559	+	8.56810i	−0.833103	+	0.288340i	−0.122973	+	0.992410i	$0.539243\pi$
$884$	3.58380	−	6.14109i	0.120536	−	0.206547i
$885$	9.12309	−	19.7153i	0.306669	−	0.662723i
$886$	5.58557	+	47.6570i	0.187651	+	1.60107i
$887$	26.5007	−	37.2151i	0.889808	−	1.24956i	−0.0777656	−	0.996972i	$-0.524779\pi$
$887$	26.5007	−	37.2151i	0.889808	−	1.24956i	0.967574	−	0.252589i	$-0.0812820\pi$
$888$	38.0903	−	33.8015i	1.27823	−	1.13430i
$889$	0.0427416	−	0.897257i	0.00143351	−	0.0300930i
$890$	−10.9766	+	8.17716i	−0.367936	+	0.274099i
$891$	6.51162	+	0.753474i	0.218147	+	0.0252423i
$892$	23.9079	−	6.89923i	0.800497	−	0.231003i
$893$	2.26099	−	0.325081i	0.0756611	−	0.0108784i
$894$	16.6752	−	6.08069i	0.557702	−	0.203369i
$895$	18.2077	+	28.3317i	0.608615	+	0.947024i
$896$	28.8584	+	9.74624i	0.964090	+	0.325599i
$897$	0.696600	+	3.71414i	0.0232588	+	0.124012i
$898$	6.24653	−	9.18310i	0.208449	−	0.306444i
$899$	−3.29211	+	9.51192i	−0.109798	+	0.317240i
$900$	−16.7734	+	25.2776i	−0.559114	+	0.842585i
$901$	13.9303	+	24.1280i	0.464086	+	0.803820i
$902$	−5.31318	+	0.114099i	−0.176910	+	0.00379908i
$903$	−57.0125	−	14.1333i	−1.89726	−	0.470327i
$904$	13.8635	−	15.0379i	0.461093	−	0.500154i
$905$	−3.39100	−	0.822648i	−0.112721	−	0.0273457i
$906$	−43.4266	−	18.9742i	−1.44275	−	0.630375i
$907$	−3.36003	−	17.4335i	−0.111568	−	0.578869i	−0.994086	−	0.108592i	$-0.965366\pi$
$907$	−3.36003	−	17.4335i	−0.111568	−	0.578869i	0.882518	−	0.470278i	$-0.155846\pi$
$908$	−3.30277	−	17.5765i	−0.109606	−	0.583296i
$909$	−16.7206	−	4.23387i	−0.554588	−	0.140428i
$910$	6.74265	+	3.70217i	0.223517	+	0.122726i
$911$	−14.9652	+	32.7693i	−0.495820	+	1.08569i	0.481985	+	0.876179i	$0.339916\pi$
$911$	−14.9652	+	32.7693i	−0.495820	+	1.08569i	−0.977805	+	0.209515i	$0.932811\pi$
$912$	4.10234	+	2.18979i	0.135842	+	0.0725112i
$913$	0.375377	−	0.433208i	0.0124232	−	0.0143371i
$914$	−16.0094	−	37.6274i	−0.529544	−	1.24460i
$915$	−38.4604	−	67.3912i	−1.27146	−	2.22789i
$916$	4.32612	−	21.8968i	0.142939	−	0.723491i
$917$	−42.5757	+	30.3180i	−1.40597	+	1.00119i
$918$	37.4107	+	16.7932i	1.23474	+	0.554257i
$919$	14.1584	−	14.8489i	0.467044	−	0.489822i	−0.447514	−	0.894277i	$-0.647690\pi$
$919$	14.1584	−	14.8489i	0.467044	−	0.489822i	0.914558	+	0.404455i	$0.132539\pi$
$920$	16.1696	−	26.1156i	0.533095	−	0.861006i
$921$	−14.1713	+	40.2924i	−0.466961	+	1.32768i
$922$	−14.7663	+	14.6977i	−0.486302	+	0.484043i
$923$	−5.31961	+	1.56198i	−0.175097	+	0.0514132i
$924$	−4.73479	+	4.87065i	−0.155763	+	0.160233i
$925$	−51.6089	−	9.94679i	−1.69689	−	0.327048i
$926$	7.50004	+	45.2451i	0.246467	+	1.48685i
$927$	5.56467	+	30.5110i	0.182768	+	1.00211i
$928$	14.8895	+	2.68241i	0.488773	+	0.0880546i
$929$	3.86555	−	13.1649i	0.126825	−	0.431925i	−0.871460	−	0.490466i	$-0.836827\pi$
$929$	3.86555	−	13.1649i	0.126825	−	0.431925i	0.998285	+	0.0585408i	$0.0186448\pi$
$930$	22.6785	−	18.4471i	0.743658	−	0.604905i
$931$	0.115051	+	0.120662i	0.00377066	+	0.00395455i
$932$	−6.78110	+	27.3946i	−0.222122	+	0.897340i
$933$	−4.29489	−	6.75703i	−0.140609	−	0.221215i
$934$	4.72918	+	14.9138i	0.154744	+	0.487995i
$935$	1.83426	−	12.7575i	0.0599866	−	0.417216i
$936$	5.40573	−	0.0368361i	0.176692	−	0.00120403i
$937$	−17.6806			−0.577599			−0.288800	−	0.957390i	$-0.593256\pi$
$937$	−17.6806			−0.577599			−0.288800	+	0.957390i	$0.593256\pi$
$938$	30.1536	+	7.87690i	0.984550	+	0.257190i
$939$	−12.8042	+	1.77567i	−0.417849	+	0.0579467i
$940$	−21.4766	−	2.15175i	−0.700490	−	0.0701822i
$941$	1.13894	+	0.163755i	0.0371284	+	0.00533825i	0.160854	−	0.986978i	$-0.448575\pi$
$941$	1.13894	+	0.163755i	0.0371284	+	0.00533825i	−0.123726	+	0.992316i	$0.539484\pi$
$942$	−2.80920	−	5.89247i	−0.0915286	−	0.191987i
$943$	16.0723	−	7.33997i	0.523386	−	0.239022i
$944$	13.2288	+	8.67682i	0.430562	+	0.282406i
$945$	−17.1038	+	40.9329i	−0.556387	+	1.33155i
$946$	6.72696	+	11.0943i	0.218712	+	0.360707i
$947$	23.0150	+	6.75780i	0.747886	+	0.219599i	0.633399	−	0.773826i	$-0.281659\pi$
$947$	23.0150	+	6.75780i	0.747886	+	0.219599i	0.114487	+	0.993425i	$0.463477\pi$
$948$	−22.8200	−	45.3342i	−0.741158	−	1.47238i
$949$	−2.78364	−	0.265806i	−0.0903609	−	0.00862842i
$950$	−0.784849	−	4.73471i	−0.0254639	−	0.153614i
$951$	−1.56699	+	29.7632i	−0.0508131	+	0.965139i
$952$	−37.4374	+	20.1041i	−1.21335	+	0.651578i
$953$	−4.63376	−	15.7812i	−0.150102	−	0.511202i	0.849770	−	0.527153i	$-0.176741\pi$
$953$	−4.63376	−	15.7812i	−0.150102	−	0.511202i	−0.999873	+	0.0159513i	$0.994922\pi$
$954$	−10.3799	+	18.4644i	−0.336060	+	0.597807i
$955$	−21.2971	+	41.3107i	−0.689159	+	1.33678i
$956$	−0.678359	+	1.67185i	−0.0219397	+	0.0540715i
$957$	−1.97079	+	2.73851i	−0.0637067	+	0.0885234i
$958$	−11.7311	+	10.6145i	−0.379014	+	0.342938i
$959$	11.5693	+	16.2468i	0.373592	+	0.524637i
$960$	−32.6562	−	29.3997i	−1.05397	−	0.948871i
$961$	15.6299	−	6.25728i	0.504191	−	0.201848i
$962$	3.66678	+	8.61814i	0.118222	+	0.277860i
$963$	−15.1689	+	32.3550i	−0.488810	+	1.04262i
$964$	−17.2426	+	57.7271i	−0.555348	+	1.85927i
$965$	−60.1661	−	27.4770i	−1.93682	−	0.884515i
$966$	8.04721	−	21.1018i	0.258915	−	0.678939i
$967$	−29.2697	−	16.8989i	−0.941251	−	0.543431i	−0.0508984	−	0.998704i	$-0.516208\pi$
$967$	−29.2697	−	16.8989i	−0.941251	−	0.543431i	−0.890352	+	0.455273i	$0.849542\pi$
$968$	−29.6081	+	0.497884i	−0.951640	+	0.0160026i
$969$	−6.14115	+	2.09115i	−0.197282	+	0.0671774i
$970$	−41.3021	−	25.3070i	−1.32613	−	0.812559i
$971$	8.09709	−	33.3767i	0.259848	−	1.07111i	−0.681001	−	0.732282i	$-0.738455\pi$
$971$	8.09709	−	33.3767i	0.259848	−	1.07111i	0.940849	−	0.338826i	$-0.110030\pi$
$972$	3.51991	+	30.9776i	0.112901	+	0.993606i
$973$	14.1358	+	5.65912i	0.453173	+	0.181423i
$974$	−15.2145	+	0.326726i	−0.487503	+	0.0104690i
$975$	−3.42687	−	4.40275i	−0.109748	−	0.141001i
$976$	52.6537	−	20.5124i	1.68540	−	0.656587i
$977$	−6.70974	−	2.32226i	−0.214664	−	0.0742958i	0.217620	−	0.976034i	$-0.430171\pi$
$977$	−6.70974	−	2.32226i	−0.214664	−	0.0742958i	−0.432283	+	0.901738i	$0.642292\pi$
$978$	−16.4749	+	33.2919i	−0.526808	+	1.06456i
$979$	2.22045	−	0.105773i	0.0709659	−	0.00338052i
$980$	−0.781330	−	1.36798i	−0.0249587	−	0.0436984i
$981$	−11.9266	+	13.4890i	−0.380786	+	0.430672i
$982$	10.5772	+	49.1736i	0.337532	+	1.56919i
$983$	5.71924	+	39.7782i	0.182416	+	1.26873i	0.851029	+	0.525118i	$0.175979\pi$
$983$	5.71924	+	39.7782i	0.182416	+	1.26873i	−0.668614	+	0.743610i	$0.733112\pi$
$984$	−6.24886	−	24.4915i	−0.199206	−	0.780762i
$985$	42.2361	+	33.2148i	1.34575	+	1.05831i
$986$	−16.9261	+	12.6093i	−0.539036	+	0.401562i
$987$	−15.8053	+	1.42951i	−0.503088	+	0.0455019i
$988$	−0.621696	+	0.587282i	−0.0197788	+	0.0186839i
$989$	−35.1380	−	25.0217i	−1.11732	−	0.795643i
$990$	9.05477	−	3.74606i	0.287780	−	0.119058i
$991$	5.61668	−	8.73973i	0.178420	−	0.277627i	−0.740512	−	0.672043i	$-0.765417\pi$
$991$	5.61668	−	8.73973i	0.178420	−	0.277627i	0.918932	+	0.394416i	$0.129053\pi$
$992$	10.8682	+	18.3066i	0.345066	+	0.581236i
$993$	1.48018	−	0.753742i	0.0469721	−	0.0239193i
$994$	31.9851	+	8.65025i	1.01451	+	0.274369i
$995$	38.1109	−	29.9707i	1.20820	−	0.950136i
$996$	2.41106	+	1.27261i	0.0763975	+	0.0403242i
$997$	−30.1199	−	34.7602i	−0.953908	−	1.10087i	−0.994815	−	0.101705i	$-0.967570\pi$
$997$	−30.1199	−	34.7602i	−0.953908	−	1.10087i	0.0409070	−	0.999163i	$-0.486975\pi$
$998$	−10.5053	+	7.07460i	−0.332540	+	0.223943i
$999$	−47.1779	+	26.3027i	−1.49264	+	0.832180i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	804.2.bd.a.23.131	yes	2640
3.2	odd	2	inner	804.2.bd.a.23.2	✓	2640
4.3	odd	2	inner	804.2.bd.a.23.115	yes	2640
12.11	even	2	inner	804.2.bd.a.23.18	yes	2640
67.35	even	33	inner	804.2.bd.a.35.18	yes	2640
201.35	odd	66	inner	804.2.bd.a.35.115	yes	2640
268.35	odd	66	inner	804.2.bd.a.35.2	yes	2640
804.35	even	66	inner	804.2.bd.a.35.131	yes	2640

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
804.2.bd.a.23.2	✓	2640	3.2	odd	2	inner
804.2.bd.a.23.18	yes	2640	12.11	even	2	inner
804.2.bd.a.23.115	yes	2640	4.3	odd	2	inner
804.2.bd.a.23.131	yes	2640	1.1	even	1	trivial
804.2.bd.a.35.2	yes	2640	268.35	odd	66	inner
804.2.bd.a.35.18	yes	2640	67.35	even	33	inner
804.2.bd.a.35.115	yes	2640	201.35	odd	66	inner
804.2.bd.a.35.131	yes	2640	804.35	even	66	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:	\( N \)	\(=\)	\( 804 = 2^{2} \cdot 3 \cdot 67 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	804.bd (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(1.41084 - 0.0976039i) q^{2} +(-0.00866028 + 1.73203i) q^{3} +(1.98095 - 0.275407i) q^{4} +(-2.88456 + 1.31734i) q^{5} +(0.156834 + 2.44446i) q^{6} +(1.85789 + 1.94850i) q^{7} +(2.76792 - 0.581904i) q^{8} +(-2.99985 - 0.0299997i) q^{9} +O(q^{10})\)	\(q+(1.41084 - 0.0976039i) q^{2} +(-0.00866028 + 1.73203i) q^{3} +(1.98095 - 0.275407i) q^{4} +(-2.88456 + 1.31734i) q^{5} +(0.156834 + 2.44446i) q^{6} +(1.85789 + 1.94850i) q^{7} +(2.76792 - 0.581904i) q^{8} +(-2.99985 - 0.0299997i) q^{9} +(-3.94108 + 2.14010i) q^{10} +(0.725043 + 0.0692332i) q^{11} +(0.459858 + 3.43344i) q^{12} +(-0.625573 - 0.120569i) q^{13} +(2.81137 + 2.56768i) q^{14} +(-2.25668 - 5.00756i) q^{15} +(3.84830 - 1.09113i) q^{16} +(-2.55706 + 4.96000i) q^{17} +(-4.23524 + 0.250472i) q^{18} +(0.463180 - 0.485769i) q^{19} +(-5.35136 + 3.40400i) q^{20} +(-3.39094 + 3.20104i) q^{21} +(1.02968 + 0.0269101i) q^{22} +(-3.17927 + 1.27279i) q^{23} +(0.983904 + 4.79916i) q^{24} +(3.31103 - 3.82113i) q^{25} +(-0.894353 - 0.109046i) q^{26} +(0.0779399 - 5.19557i) q^{27} +(4.21701 + 3.34819i) q^{28} +(2.31618 + 1.33725i) q^{29} +(-3.67258 - 6.84461i) q^{30} +(0.712251 + 3.69551i) q^{31} +(5.32284 - 1.91503i) q^{32} +(-0.126193 + 1.25520i) q^{33} +(-3.12349 + 7.24736i) q^{34} +(-7.92602 - 3.17310i) q^{35} +(-5.95081 + 0.766752i) q^{36} +(-5.19757 - 9.00245i) q^{37} +(0.606061 - 0.730551i) q^{38} +(0.214247 - 1.08247i) q^{39} +(-7.21768 + 5.32482i) q^{40} +(-5.15363 + 0.245498i) q^{41} +(-4.47165 + 4.84713i) q^{42} +(6.81001 + 10.5966i) q^{43} +(1.45534 - 0.0625347i) q^{44} +(8.69278 - 3.86527i) q^{45} +(-4.36121 + 2.10601i) q^{46} +(2.67511 + 2.10373i) q^{47} +(1.85655 + 6.67482i) q^{48} +(-0.0118191 + 0.248113i) q^{49} +(4.29838 - 5.71418i) q^{50} +(-8.56873 - 4.47186i) q^{51} +(-1.27243 - 0.0665542i) q^{52} +(2.69922 - 4.20007i) q^{53} +(-0.397147 - 7.33773i) q^{54} +(-2.18263 + 0.755417i) q^{55} +(6.27633 + 4.31218i) q^{56} +(0.837355 + 0.806448i) q^{57} +(3.39828 + 1.66058i) q^{58} +(2.59006 + 2.98909i) q^{59} +(-5.84949 - 9.29820i) q^{60} +(14.0631 - 1.34286i) q^{61} +(1.36557 + 5.14426i) q^{62} +(-5.51493 - 5.90094i) q^{63} +(7.32278 - 3.22133i) q^{64} +(1.96334 - 0.476300i) q^{65} +(-0.0555263 + 1.78320i) q^{66} +(7.24286 - 3.81326i) q^{67} +(-3.69938 + 10.5297i) q^{68} +(-2.17697 - 5.51761i) q^{69} +(-11.4921 - 3.70313i) q^{70} +(7.73502 - 3.98768i) q^{71} +(-8.32081 + 1.66259i) q^{72} +(4.36934 - 0.417221i) q^{73} +(-8.21162 - 12.1937i) q^{74} +(6.58964 + 5.76789i) q^{75} +(0.783751 - 1.08985i) q^{76} +(1.21215 + 1.54137i) q^{77} +(0.196616 - 1.54810i) q^{78} +(-13.8455 + 4.79198i) q^{79} +(-9.66328 + 8.21695i) q^{80} +(8.99820 + 0.179989i) q^{81} +(-7.24699 + 0.849373i) q^{82} +(0.456515 - 0.641086i) q^{83} +(-5.83569 + 7.27499i) q^{84} +(0.842010 - 17.6760i) q^{85} +(10.6421 + 14.2854i) q^{86} +(-2.33621 + 4.00011i) q^{87} +(2.04715 - 0.230273i) q^{88} +(3.02104 - 0.434359i) q^{89} +(11.8869 - 6.30174i) q^{90} +(-0.927317 - 1.44293i) q^{91} +(-5.94742 + 3.39692i) q^{92} +(-6.40690 + 1.20164i) q^{93} +(3.97949 + 2.70693i) q^{94} +(-0.696151 + 2.01140i) q^{95} +(3.27078 + 9.23591i) q^{96} +(5.40049 + 9.35392i) q^{97} +(0.00754195 + 0.351202i) q^{98} +(-2.17294 - 0.229440i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 2640 q - 42 q^{4} - 19 q^{6} - 32 q^{9}+O(q^{10}) \) 2640 * q - 42 * q^4 - 19 * q^6 - 32 * q^9	\( 2640 q - 42 q^{4} - 19 q^{6} - 32 q^{9} - 46 q^{10} - 24 q^{12} - 88 q^{13} - 26 q^{16} - 23 q^{18} - 128 q^{22} - 22 q^{24} + 160 q^{25} + 44 q^{28} - 18 q^{30} - 44 q^{33} - 6 q^{34} - 35 q^{36} - 48 q^{37} - 92 q^{40} - 10 q^{42} + 40 q^{45} + 46 q^{46} - 11 q^{48} - 216 q^{49} - 76 q^{52} + 129 q^{54} - 42 q^{57} - 56 q^{58} - 90 q^{60} - 80 q^{61} - 48 q^{64} - 74 q^{66} - 4 q^{69} + 96 q^{70} - 20 q^{72} - 216 q^{73} + 76 q^{76} - 66 q^{78} - 16 q^{81} + 20 q^{82} - 55 q^{84} - 104 q^{85} - 30 q^{88} - 64 q^{90} - 192 q^{93} - 32 q^{94} - 205 q^{96} - 64 q^{97}+O(q^{100}) \) 2640 * q - 42 * q^4 - 19 * q^6 - 32 * q^9 - 46 * q^10 - 24 * q^12 - 88 * q^13 - 26 * q^16 - 23 * q^18 - 128 * q^22 - 22 * q^24 + 160 * q^25 + 44 * q^28 - 18 * q^30 - 44 * q^33 - 6 * q^34 - 35 * q^36 - 48 * q^37 - 92 * q^40 - 10 * q^42 + 40 * q^45 + 46 * q^46 - 11 * q^48 - 216 * q^49 - 76 * q^52 + 129 * q^54 - 42 * q^57 - 56 * q^58 - 90 * q^60 - 80 * q^61 - 48 * q^64 - 74 * q^66 - 4 * q^69 + 96 * q^70 - 20 * q^72 - 216 * q^73 + 76 * q^76 - 66 * q^78 - 16 * q^81 + 20 * q^82 - 55 * q^84 - 104 * q^85 - 30 * q^88 - 64 * q^90 - 192 * q^93 - 32 * q^94 - 205 * q^96 - 64 * q^97

Introduction

L-functions

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