LMFDB - Embedded newform 605.2.w.a.2.20

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [605,2,Mod(2,605)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(605, base_ring=CyclotomicField(220))

chi = DirichletCharacter(H, H._module([55, 2]))

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

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

chi := DirichletCharacter("605.2");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 605 = 5 \cdot 11^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	605.w (of order $220$, degree $80$, 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:	$4.83094932229$
Analytic rank:	$0$
Dimension:	$5120$
Relative dimension:	$64$ over $\Q(\zeta_{220})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{220}]$

Embedding invariants

Embedding label			2.20
Character	$\chi$	$=$	605.2
Dual form			605.2.w.a.303.20

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.886874 - 0.939036i) q^{2} +(-0.0632831 + 0.399554i) q^{3} +(0.0189344 - 0.331126i) q^{4} +(-0.878832 - 2.05613i) q^{5} +(0.431319 - 0.294929i) q^{6} +(0.577165 + 0.870500i) q^{7} +(-2.30400 + 1.93952i) q^{8} +(2.69753 + 0.876481i) q^{9} +O(q^{10})$	\(q+(-0.886874 - 0.939036i) q^{2} +(-0.0632831 + 0.399554i) q^{3} +(0.0189344 - 0.331126i) q^{4} +(-0.878832 - 2.05613i) q^{5} +(0.431319 - 0.294929i) q^{6} +(0.577165 + 0.870500i) q^{7} +(-2.30400 + 1.93952i) q^{8} +(2.69753 + 0.876481i) q^{9} +(-1.15136 + 2.64878i) q^{10} +(2.79061 + 1.79234i) q^{11} +(0.131104 + 0.0285200i) q^{12} +(2.89678 - 4.96267i) q^{13} +(0.305558 - 1.31400i) q^{14} +(0.877148 - 0.221023i) q^{15} +(3.20563 + 0.367812i) q^{16} +(2.00069 - 2.83807i) q^{17} +(-1.56932 - 3.31041i) q^{18} +(-0.0301045 - 0.0309768i) q^{19} +(-0.697476 + 0.252072i) q^{20} +(-0.384336 + 0.175521i) q^{21} +(-0.791852 - 4.21006i) q^{22} +(-3.20100 - 8.58221i) q^{23} +(-0.629140 - 1.04331i) q^{24} +(-3.45531 + 3.61398i) q^{25} +(-7.22921 + 1.68108i) q^{26} +(-1.07187 + 2.10367i) q^{27} +(0.299173 - 0.174632i) q^{28} +(1.03974 - 1.97053i) q^{29} +(-0.985468 - 0.627654i) q^{30} +(-4.75773 + 3.89037i) q^{31} +(1.11205 + 1.48553i) q^{32} +(-0.892734 + 1.00158i) q^{33} +(-4.43941 + 0.638290i) q^{34} +(1.28263 - 1.95175i) q^{35} +(0.341302 - 0.876626i) q^{36} +(-1.11463 + 2.53591i) q^{37} +(-0.00238943 + 0.0557417i) q^{38} +(1.79954 + 1.47147i) q^{39} +(6.01274 + 3.03280i) q^{40} +(-1.86827 - 1.44065i) q^{41} +(0.505678 + 0.205241i) q^{42} +(-0.906518 + 0.0648355i) q^{43} +(0.646328 - 0.890106i) q^{44} +(-0.568522 - 6.31674i) q^{45} +(-5.22012 + 10.6172i) q^{46} +(-11.0658 - 5.24584i) q^{47} +(-0.349823 + 1.25755i) q^{48} +(2.30024 - 5.44302i) q^{49} +(6.45808 + 0.0395132i) q^{50} +(1.00735 + 0.978984i) q^{51} +(-1.58842 - 1.05316i) q^{52} +(7.15138 - 9.00518i) q^{53} +(2.92604 - 0.859162i) q^{54} +(1.23279 - 7.31302i) q^{55} +(-3.01815 - 0.886208i) q^{56} +(0.0142820 - 0.0100681i) q^{57} +(-2.77252 + 0.771258i) q^{58} +(-6.60381 + 5.09230i) q^{59} +(-0.0565780 - 0.294631i) q^{60} +(8.43208 - 0.240885i) q^{61} +(7.87271 + 1.01741i) q^{62} +(0.793944 + 2.85408i) q^{63} +(1.50915 - 8.72055i) q^{64} +(-12.7497 - 1.59480i) q^{65} +(1.73226 - 0.0499616i) q^{66} +(6.66380 + 3.63871i) q^{67} +(-0.901875 - 0.716216i) q^{68} +(3.63162 - 0.735862i) q^{69} +(-2.97029 + 0.526522i) q^{70} +(-3.10065 + 1.52449i) q^{71} +(-7.91507 + 3.21251i) q^{72} +(8.56625 + 2.38295i) q^{73} +(3.36984 - 1.20236i) q^{74} +(-1.22532 - 1.60928i) q^{75} +(-0.0108272 + 0.00938184i) q^{76} +(0.0504141 + 3.46370i) q^{77} +(-0.214195 - 2.99484i) q^{78} +(12.5752 - 5.31432i) q^{79} +(-2.06095 - 6.91443i) q^{80} +(6.11127 + 4.44010i) q^{81} +(0.304096 + 3.03205i) q^{82} +(-12.8139 - 0.549283i) q^{83} +(0.0508421 + 0.130587i) q^{84} +(-7.59370 - 1.61948i) q^{85} +(0.864850 + 0.793752i) q^{86} +(0.721536 + 0.540135i) q^{87} +(-9.90586 + 1.28291i) q^{88} +(6.87147 + 0.987968i) q^{89} +(-5.42744 + 6.13602i) q^{90} +(5.99193 - 0.342631i) q^{91} +(-2.90240 + 0.897433i) q^{92} +(-1.25333 - 2.14716i) q^{93} +(4.88797 + 15.0436i) q^{94} +(-0.0372354 + 0.0891221i) q^{95} +(-0.663924 + 0.350316i) q^{96} +(-0.230760 + 0.931825i) q^{97} +(-7.15121 + 2.66726i) q^{98} +(5.95682 + 7.28081i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 5120 q - 78 q^{2} - 60 q^{3} - 86 q^{5} - 156 q^{6} - 88 q^{7} - 78 q^{8}+O(q^{10}) $ 5120 * q - 78 * q^2 - 60 * q^3 - 86 * q^5 - 156 * q^6 - 88 * q^7 - 78 * q^8	$ 5120 q - 78 q^{2} - 60 q^{3} - 86 q^{5} - 156 q^{6} - 88 q^{7} - 78 q^{8} - 44 q^{10} - 152 q^{11} - 134 q^{12} - 34 q^{13} - 94 q^{15} - 280 q^{16} - 88 q^{17} - 56 q^{18} - 96 q^{20} - 176 q^{21} - 10 q^{22} - 56 q^{23} - 110 q^{25} - 188 q^{26} - 180 q^{27} - 138 q^{28} - 118 q^{30} - 148 q^{31} - 88 q^{32} - 88 q^{33} - 78 q^{35} - 496 q^{36} - 152 q^{37} - 230 q^{38} - 60 q^{40} - 216 q^{41} - 144 q^{42} - 88 q^{43} - 194 q^{45} - 236 q^{46} - 52 q^{47} + 12 q^{48} - 148 q^{50} + 244 q^{51} - 38 q^{52} - 84 q^{53} - 200 q^{55} + 136 q^{56} - 184 q^{57} - 14 q^{58} - 114 q^{60} - 116 q^{61} - 188 q^{62} - 36 q^{63} - 88 q^{65} - 76 q^{66} + 48 q^{67} - 58 q^{68} - 14 q^{70} - 196 q^{71} - 410 q^{72} - 138 q^{73} - 114 q^{75} - 308 q^{76} - 158 q^{77} + 14 q^{78} + 124 q^{80} + 836 q^{81} - 82 q^{82} - 178 q^{83} - 30 q^{85} - 268 q^{86} - 154 q^{87} - 258 q^{88} - 266 q^{90} - 344 q^{91} + 188 q^{92} - 32 q^{93} - 48 q^{95} - 176 q^{96} - 86 q^{97} - 88 q^{98}+O(q^{100}) $ 5120 * q - 78 * q^2 - 60 * q^3 - 86 * q^5 - 156 * q^6 - 88 * q^7 - 78 * q^8 - 44 * q^10 - 152 * q^11 - 134 * q^12 - 34 * q^13 - 94 * q^15 - 280 * q^16 - 88 * q^17 - 56 * q^18 - 96 * q^20 - 176 * q^21 - 10 * q^22 - 56 * q^23 - 110 * q^25 - 188 * q^26 - 180 * q^27 - 138 * q^28 - 118 * q^30 - 148 * q^31 - 88 * q^32 - 88 * q^33 - 78 * q^35 - 496 * q^36 - 152 * q^37 - 230 * q^38 - 60 * q^40 - 216 * q^41 - 144 * q^42 - 88 * q^43 - 194 * q^45 - 236 * q^46 - 52 * q^47 + 12 * q^48 - 148 * q^50 + 244 * q^51 - 38 * q^52 - 84 * q^53 - 200 * q^55 + 136 * q^56 - 184 * q^57 - 14 * q^58 - 114 * q^60 - 116 * q^61 - 188 * q^62 - 36 * q^63 - 88 * q^65 - 76 * q^66 + 48 * q^67 - 58 * q^68 - 14 * q^70 - 196 * q^71 - 410 * q^72 - 138 * q^73 - 114 * q^75 - 308 * q^76 - 158 * q^77 + 14 * q^78 + 124 * q^80 + 836 * q^81 - 82 * q^82 - 178 * q^83 - 30 * q^85 - 268 * q^86 - 154 * q^87 - 258 * q^88 - 266 * q^90 - 344 * q^91 + 188 * q^92 - 32 * q^93 - 48 * q^95 - 176 * q^96 - 86 * q^97 - 88 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/605\mathbb{Z}\right)^\times$.

$n$	$122$	$486$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{1}{110}\right)$

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 $

$2$	−0.886874	−	0.939036i	−0.627114	−	0.663999i	0.333220	−	0.942849i	$-0.391865\pi$
$2$	−0.886874	−	0.939036i	−0.627114	−	0.663999i	−0.960335	+	0.278850i	$0.910047\pi$
$3$	−0.0632831	+	0.399554i	−0.0365365	+	0.230682i	−0.999199	−	0.0400229i	$-0.987257\pi$
$3$	−0.0632831	+	0.399554i	−0.0365365	+	0.230682i	0.962662	+	0.270705i	$0.0872569\pi$
$4$	0.0189344	−	0.331126i	0.00946722	−	0.165563i
$5$	−0.878832	−	2.05613i	−0.393026	−	0.919527i
$5$	−0.878832	−	2.05613i	−0.393026	−	0.919527i
$6$	0.431319	−	0.294929i	0.176085	−	0.120404i
$7$	0.577165	+	0.870500i	0.218148	+	0.329018i	0.926125	−	0.377218i	$-0.123119\pi$
$7$	0.577165	+	0.870500i	0.218148	+	0.329018i	−0.707977	+	0.706236i	$0.750392\pi$
$8$	−2.30400	+	1.93952i	−0.814587	+	0.685725i
$9$	2.69753	+	0.876481i	0.899177	+	0.292160i
$10$	−1.15136	+	2.64878i	−0.364093	+	0.837618i
$11$	2.79061	+	1.79234i	0.841402	+	0.540410i
$11$	2.79061	+	1.79234i	0.841402	+	0.540410i
$12$	0.131104	+	0.0285200i	0.0378465	+	0.00823301i
$13$	2.89678	−	4.96267i	0.803423	−	1.37640i	−0.120063	−	0.992766i	$-0.538310\pi$
$13$	2.89678	−	4.96267i	0.803423	−	1.37640i	0.923486	−	0.383632i	$-0.125327\pi$
$14$	0.305558	−	1.31400i	0.0816639	−	0.351182i
$15$	0.877148	−	0.221023i	0.226479	−	0.0570678i
$16$	3.20563	+	0.367812i	0.801408	+	0.0919530i
$17$	2.00069	−	2.83807i	0.485238	−	0.688333i	−0.498714	−	0.866767i	$-0.666194\pi$
$17$	2.00069	−	2.83807i	0.485238	−	0.688333i	0.983952	+	0.178434i	$0.0571032\pi$
$18$	−1.56932	−	3.31041i	−0.369893	−	0.780270i
$19$	−0.0301045	−	0.0309768i	−0.00690645	−	0.00710657i	0.713670	−	0.700482i	$-0.247032\pi$
$19$	−0.0301045	−	0.0309768i	−0.00690645	−	0.00710657i	−0.720576	+	0.693376i	$0.756123\pi$
$20$	−0.697476	+	0.252072i	−0.155960	+	0.0563651i
$21$	−0.384336	+	0.175521i	−0.0838691	+	0.0383017i
$22$	−0.791852	−	4.21006i	−0.168823	−	0.897589i
$23$	−3.20100	−	8.58221i	−0.667455	−	1.78952i	−0.611727	−	0.791069i	$-0.709525\pi$
$23$	−3.20100	−	8.58221i	−0.667455	−	1.78952i	−0.0557279	−	0.998446i	$-0.517748\pi$
$24$	−0.629140	−	1.04331i	−0.128423	−	0.212965i
$25$	−3.45531	+	3.61398i	−0.691061	+	0.722796i
$26$	−7.22921	+	1.68108i	−1.41776	+	0.329687i
$27$	−1.07187	+	2.10367i	−0.206282	+	0.404851i
$28$	0.299173	−	0.174632i	0.0565384	−	0.0330023i
$29$	1.03974	−	1.97053i	0.193076	−	0.365919i	−0.768764	−	0.639532i	$-0.779128\pi$
$29$	1.03974	−	1.97053i	0.193076	−	0.365919i	0.961840	+	0.273614i	$0.0882189\pi$
$30$	−0.985468	−	0.627654i	−0.179921	−	0.114593i
$31$	−4.75773	+	3.89037i	−0.854513	+	0.698732i	−0.955128	−	0.296193i	$-0.904283\pi$
$31$	−4.75773	+	3.89037i	−0.854513	+	0.698732i	0.100615	+	0.994925i	$0.467919\pi$
$32$	1.11205	+	1.48553i	0.196585	+	0.262607i
$33$	−0.892734	+	1.00158i	−0.155405	+	0.174352i
$34$	−4.43941	+	0.638290i	−0.761352	+	0.109466i
$35$	1.28263	−	1.95175i	0.216803	−	0.329906i
$36$	0.341302	−	0.876626i	0.0568836	−	0.146104i
$37$	−1.11463	+	2.53591i	−0.183243	+	0.416901i	−0.983045	−	0.183363i	$-0.941301\pi$
$37$	−1.11463	+	2.53591i	−0.183243	+	0.416901i	0.799802	+	0.600264i	$0.204938\pi$
$38$	−0.00238943	+	0.0557417i	−0.000387617	+	0.00904250i
$39$	1.79954	+	1.47147i	0.288157	+	0.235624i
$40$	6.01274	+	3.03280i	0.950697	+	0.479528i
$41$	−1.86827	−	1.44065i	−0.291775	−	0.224992i	0.454309	−	0.890844i	$-0.349886\pi$
$41$	−1.86827	−	1.44065i	−0.291775	−	0.224992i	−0.746084	+	0.665852i	$0.768068\pi$
$42$	0.505678	+	0.205241i	0.0780278	+	0.0316694i
$43$	−0.906518	+	0.0648355i	−0.138243	+	0.00988732i	−0.140289	−	0.990111i	$-0.544803\pi$
$43$	−0.906518	+	0.0648355i	−0.138243	+	0.00988732i	0.00204631	+	0.999998i	$0.499349\pi$
$44$	0.646328	−	0.890106i	0.0974376	−	0.134189i
$45$	−0.568522	−	6.31674i	−0.0847503	−	0.941645i
$46$	−5.22012	+	10.6172i	−0.769665	+	1.56542i
$47$	−11.0658	−	5.24584i	−1.61412	−	0.765185i	−0.614402	−	0.788993i	$-0.710603\pi$
$47$	−11.0658	−	5.24584i	−1.61412	−	0.765185i	−0.999717	+	0.0238079i	$0.992421\pi$
$48$	−0.349823	+	1.25755i	−0.0504926	+	0.181511i
$49$	2.30024	−	5.44302i	0.328606	−	0.777574i
$50$	6.45808	+	0.0395132i	0.913310	+	0.00558801i
$51$	1.00735	+	0.978984i	0.141057	+	0.137085i
$52$	−1.58842	−	1.05316i	−0.220274	−	0.146048i
$53$	7.15138	−	9.00518i	0.982318	−	1.23696i	0.0108119	−	0.999942i	$-0.496558\pi$
$53$	7.15138	−	9.00518i	0.982318	−	1.23696i	0.971506	−	0.237014i	$-0.0761689\pi$
$54$	2.92604	−	0.859162i	0.398183	−	0.116917i
$55$	1.23279	−	7.31302i	0.166230	−	0.986087i
$56$	−3.01815	−	0.886208i	−0.403317	−	0.118424i
$57$	0.0142820	−	0.0100681i	0.00189170	−	0.00133355i
$58$	−2.77252	+	0.771258i	−0.364050	+	0.101271i
$59$	−6.60381	+	5.09230i	−0.859743	+	0.662961i	−0.942718	−	0.333591i	$-0.891740\pi$
$59$	−6.60381	+	5.09230i	−0.859743	+	0.662961i	0.0829751	+	0.996552i	$0.473558\pi$
$60$	−0.0565780	−	0.294631i	−0.00730418	−	0.0380367i
$61$	8.43208	−	0.240885i	1.07962	−	0.0308422i	0.515774	−	0.856725i	$-0.327504\pi$
$61$	8.43208	−	0.240885i	1.07962	−	0.0308422i	0.563842	+	0.825882i	$0.309323\pi$
$62$	7.87271	+	1.01741i	0.999835	+	0.129211i
$63$	0.793944	+	2.85408i	0.100028	+	0.359580i
$64$	1.50915	−	8.72055i	0.188644	−	1.09007i
$65$	−12.7497	−	1.59480i	−1.58140	−	0.197810i
$66$	1.73226	−	0.0499616i	0.213226	−	0.00614984i
$67$	6.66380	+	3.63871i	0.814113	+	0.444539i	0.831645	−	0.555307i	$-0.187399\pi$
$67$	6.66380	+	3.63871i	0.814113	+	0.444539i	−0.0175325	+	0.999846i	$0.505581\pi$
$68$	−0.901875	−	0.716216i	−0.109368	−	0.0868540i
$69$	3.63162	−	0.735862i	0.437196	−	0.0885874i
$70$	−2.97029	+	0.526522i	−0.355017	+	0.0629314i
$71$	−3.10065	+	1.52449i	−0.367979	+	0.180923i	−0.615838	−	0.787873i	$-0.711182\pi$
$71$	−3.10065	+	1.52449i	−0.367979	+	0.180923i	0.247858	+	0.968796i	$0.420273\pi$
$72$	−7.91507	+	3.21251i	−0.932800	+	0.378598i
$73$	8.56625	+	2.38295i	1.00260	+	0.278903i	0.730166	−	0.683270i	$-0.239443\pi$
$73$	8.56625	+	2.38295i	1.00260	+	0.278903i	0.272438	+	0.962173i	$0.412170\pi$
$74$	3.36984	−	1.20236i	0.391736	−	0.139771i
$75$	−1.22532	−	1.60928i	−0.141487	−	0.185824i
$76$	−0.0108272	+	0.00938184i	−0.00124197	+	0.00107617i
$77$	0.0504141	+	3.46370i	0.00574521	+	0.394726i
$78$	−0.214195	−	2.99484i	−0.0242528	−	0.339099i
$79$	12.5752	−	5.31432i	1.41482	−	0.597908i	0.458095	−	0.888903i	$-0.348532\pi$
$79$	12.5752	−	5.31432i	1.41482	−	0.597908i	0.956724	+	0.290996i	$0.0939865\pi$
$80$	−2.06095	−	6.91443i	−0.230421	−	0.773057i
$81$	6.11127	+	4.44010i	0.679030	+	0.493344i
$82$	0.304096	+	3.03205i	0.0335818	+	0.334834i
$83$	−12.8139	−	0.549283i	−1.40651	−	0.0602917i	−0.672835	−	0.739792i	$-0.734924\pi$
$83$	−12.8139	−	0.549283i	−1.40651	−	0.0602917i	−0.733675	+	0.679500i	$0.762197\pi$
$84$	0.0508421	+	0.130587i	0.00554733	+	0.0142482i
$85$	−7.59370	−	1.61948i	−0.823652	−	0.175657i
$86$	0.864850	+	0.793752i	0.0932592	+	0.0855925i
$87$	0.721536	+	0.540135i	0.0773567	+	0.0579085i
$88$	−9.90586	+	1.28291i	−1.05597	+	0.136759i
$89$	6.87147	+	0.987968i	0.728374	+	0.104724i	0.496519	−	0.868026i	$-0.334611\pi$
$89$	6.87147	+	0.987968i	0.728374	+	0.104724i	0.231855	+	0.972750i	$0.425520\pi$
$90$	−5.42744	+	6.13602i	−0.572103	+	0.646793i
$91$	5.99193	−	0.342631i	0.628125	−	0.0359175i
$92$	−2.90240	+	0.897433i	−0.302596	+	0.0935639i
$93$	−1.25333	−	2.14716i	−0.129964	−	0.222650i
$94$	4.88797	+	15.0436i	0.504156	+	1.55163i
$95$	−0.0372354	+	0.0891221i	−0.00382027	+	0.00914373i
$96$	−0.663924	+	0.350316i	−0.0677614	+	0.0357540i
$97$	−0.230760	+	0.931825i	−0.0234302	+	0.0946125i	−0.981240	−	0.192790i	$-0.938246\pi$
$97$	−0.230760	+	0.931825i	−0.0234302	+	0.0946125i	0.957810	+	0.287403i	$0.0927918\pi$
$98$	−7.15121	+	2.66726i	−0.722382	+	0.269434i
$99$	5.95682	+	7.28081i	0.598683	+	0.731749i
$100$	1.13126	+	1.21257i	0.113126	+	0.121257i
$101$	−7.03419	−	4.80986i	−0.699928	−	0.478598i	0.161242	−	0.986915i	$-0.448450\pi$
$101$	−7.03419	−	4.80986i	−0.699928	−	0.478598i	−0.861170	+	0.508316i	$0.830268\pi$
$102$	0.0259081	−	1.81417i	0.00256528	−	0.179630i
$103$	−12.2116	+	5.78901i	−1.20325	+	0.570408i	−0.921236	−	0.389004i	$-0.872819\pi$
$103$	−12.2116	+	5.78901i	−1.20325	+	0.570408i	−0.282010	+	0.959411i	$0.591001\pi$
$104$	2.95103	+	17.0524i	0.289373	+	1.67212i
$105$	0.698659	+	0.635991i	0.0681822	+	0.0620663i
$106$	−14.7986	+	1.27105i	−1.43736	+	0.123455i
$107$	4.37873	−	2.72648i	0.423307	−	0.263579i	−0.300226	−	0.953868i	$-0.597062\pi$
$107$	4.37873	−	2.72648i	0.423307	−	0.263579i	0.723534	+	0.690289i	$0.242517\pi$
$108$	0.676283	+	0.394756i	0.0650754	+	0.0379855i
$109$	13.1692	−	8.46335i	1.26138	−	0.810642i	0.272910	−	0.962040i	$-0.412014\pi$
$109$	13.1692	−	8.46335i	1.26138	−	0.810642i	0.988473	+	0.151398i	$0.0483775\pi$
$110$	−7.96052	+	5.32809i	−0.759005	+	0.508013i
$111$	−0.942694	−	0.605833i	−0.0894766	−	0.0575031i
$112$	1.53000	+	3.00279i	0.144571	+	0.283737i
$113$	−6.60775	−	7.84949i	−0.621605	−	0.738418i	0.359232	−	0.933248i	$-0.383039\pi$
$113$	−6.60775	−	7.84949i	−0.621605	−	0.738418i	−0.980837	+	0.194831i	$0.937584\pi$
$114$	−0.0221206	−	0.00448222i	−0.00207178	−	0.000419798i
$115$	−14.8330	+	14.1240i	−1.38318	+	1.31707i
$116$	−0.632807	−	0.381597i	−0.0587546	−	0.0354304i
$117$	12.1639	−	10.8480i	1.12455	−	1.00290i
$118$	10.6386	+	1.68499i	0.979362	+	0.155116i
$119$	3.62527	+	0.103566i	0.332328	+	0.00949384i
$120$	−1.59227	+	2.21049i	−0.145354	+	0.201789i
$121$	4.57505	+	10.0034i	0.415913	+	0.909404i
$122$	−7.70439	−	7.70439i	−0.697522	−	0.697522i
$123$	0.693847	−	0.655305i	0.0625621	−	0.0590869i
$124$	1.19812	+	1.64907i	0.107594	+	0.148091i
$125$	10.4674	+	3.92846i	0.936236	+	0.351373i
$126$	1.97595	−	3.27675i	0.176032	−	0.291916i
$127$	16.7015	+	3.13657i	1.48202	+	0.278326i	0.862259	−	0.506468i	$-0.169049\pi$
$127$	16.7015	+	3.13657i	1.48202	+	0.278326i	0.619758	+	0.784793i	$0.287231\pi$
$128$	−6.43415	+	4.26601i	−0.568704	+	0.377066i
$129$	0.0314620	−	0.366306i	0.00277008	−	0.0322514i
$130$	9.80978	+	13.3868i	0.860374	+	1.17410i
$131$	3.71874	−	5.78647i	0.324908	−	0.505566i	−0.639923	−	0.768439i	$-0.721034\pi$
$131$	3.71874	−	5.78647i	0.324908	−	0.505566i	0.964830	+	0.262873i	$0.0846701\pi$
$132$	0.314744	+	0.314571i	0.0273949	+	0.0273799i
$133$	0.00959004	−	0.0440847i	0.000831562	−	0.00382263i
$134$	−2.49307	−	9.48463i	−0.215369	−	0.819347i
$135$	5.26741	+	0.355133i	0.453346	+	0.0305650i
$136$	0.894914	+	10.4193i	0.0767383	+	0.893447i
$137$	7.08812	+	8.92551i	0.605579	+	0.762558i	0.986803	−	0.161925i	$-0.0517701\pi$
$137$	7.08812	+	8.92551i	0.605579	+	0.762558i	−0.381224	+	0.924483i	$0.624497\pi$
$138$	−3.91179	−	2.75761i	−0.332994	−	0.234743i
$139$	−2.93837	−	1.04841i	−0.249229	−	0.0889248i	0.208480	−	0.978027i	$-0.433148\pi$
$139$	−2.93837	−	1.04841i	−0.249229	−	0.0889248i	−0.457710	+	0.889102i	$0.651330\pi$
$140$	−0.621988	−	0.461666i	−0.0525676	−	0.0390179i
$141$	2.79628	−	4.08942i	0.235489	−	0.344392i
$142$	4.18143	+	1.55959i	0.350898	+	0.130878i
$143$	16.9786	−	8.65689i	1.41982	−	0.723925i
$144$	8.32491	+	3.80186i	0.693743	+	0.316822i
$145$	−4.96542	−	0.406075i	−0.412356	−	0.0337227i
$146$	−5.35951	−	10.1574i	−0.443556	−	0.840632i
$147$	2.02921	+	1.26352i	0.167367	+	0.104213i
$148$	0.818599	+	0.417097i	0.0672884	+	0.0342852i
$149$	−5.45088	+	20.7373i	−0.446554	+	1.69887i	0.239147	+	0.970983i	$0.423132\pi$
$149$	−5.45088	+	20.7373i	−0.446554	+	1.69887i	−0.685701	+	0.727884i	$0.740504\pi$
$150$	−0.424475	+	2.57785i	−0.0346582	+	0.210480i
$151$	−0.180764	−	3.16121i	−0.0147104	−	0.257256i	−0.997404	−	0.0720148i	$-0.977057\pi$
$151$	−0.180764	−	3.16121i	−0.0147104	−	0.257256i	0.982693	−	0.185241i	$-0.0593065\pi$
$152$	0.129441	+	0.0129822i	0.0104991	+	0.00105299i
$153$	7.88443	−	5.90221i	0.637419	−	0.477166i
$154$	3.20783	−	3.11921i	0.258494	−	0.251353i
$155$	12.1803	+	6.36350i	0.978349	+	0.511129i
$156$	0.521316	−	0.568011i	0.0417387	−	0.0454773i
$157$	−13.1699	+	5.78866i	−1.05107	+	0.461985i	−0.855013	−	0.518607i	$-0.826451\pi$
$157$	−13.1699	+	5.78866i	−1.05107	+	0.461985i	−0.196059	+	0.980592i	$0.562814\pi$
$158$	−16.1429	−	7.09542i	−1.28426	−	0.564482i
$159$	3.14549	+	3.42724i	0.249454	+	0.271798i
$160$	2.07713	−	3.59206i	0.164211	−	0.283977i
$161$	5.62331	−	7.73983i	0.443179	−	0.609984i
$162$	−1.25052	−	9.67651i	−0.0982498	−	0.760259i
$163$	−2.00089	+	4.92985i	−0.156722	+	0.386136i	−0.984612	−	0.174755i	$-0.944087\pi$
$163$	−2.00089	+	4.92985i	−0.156722	+	0.386136i	0.827890	+	0.560891i	$0.189541\pi$
$164$	−0.512411	+	0.591354i	−0.0400126	+	0.0461770i
$165$	2.84393	+	0.955357i	0.221399	+	0.0743744i
$166$	10.8485	+	12.5199i	0.842010	+	0.971731i
$167$	9.84797	−	3.35601i	0.762058	−	0.259696i	0.0857524	−	0.996316i	$-0.472671\pi$
$167$	9.84797	−	3.35601i	0.762058	−	0.259696i	0.676306	+	0.736621i	$0.263580\pi$
$168$	0.545085	−	1.14983i	0.0420542	−	0.0887112i
$169$	−9.84424	−	17.4319i	−0.757249	−	1.34091i
$170$	5.21390	+	8.56703i	0.399888	+	0.657061i
$171$	−0.0540573	−	0.109947i	−0.00413386	−	0.00840785i
$172$	0.00430426	+	0.301399i	0.000328197	+	0.0229815i
$173$	−4.04454	+	6.10011i	−0.307501	+	0.463783i	−0.954288	−	0.298887i	$-0.903385\pi$
$173$	−4.04454	+	6.10011i	−0.307501	+	0.463783i	0.646788	+	0.762670i	$0.276112\pi$
$174$	−0.132705	−	1.15658i	−0.0100603	−	0.0876800i
$175$	−5.14025	−	0.921982i	−0.388567	−	0.0696953i
$176$	8.28644	+	6.77200i	0.624614	+	0.510459i
$177$	−1.61674	−	2.96083i	−0.121521	−	0.222550i
$178$	−5.16639	−	7.32876i	−0.387237	−	0.549314i
$179$	−8.12048	+	14.3795i	−0.606953	+	1.07477i	0.381661	+	0.924302i	$0.375352\pi$
$179$	−8.12048	+	14.3795i	−0.606953	+	1.07477i	−0.988614	+	0.150472i	$0.951921\pi$
$180$	−2.10240	+	0.0686483i	−0.156704	+	0.00511674i
$181$	0.368614	+	12.9032i	0.0273988	+	0.959084i	0.890754	+	0.454487i	$0.150177\pi$
$181$	0.368614	+	12.9032i	0.0273988	+	0.959084i	−0.863355	+	0.504598i	$0.831641\pi$
$182$	−5.63583	−	5.32277i	−0.417756	−	0.394550i
$183$	−0.437361	+	3.38431i	−0.0323307	+	0.250175i
$184$	24.0205	+	13.5650i	1.77082	+	1.00003i
$185$	6.19371	+	0.0631728i	0.455371	+	0.00464456i
$186$	−0.904717	+	3.08118i	−0.0663371	+	0.225923i
$187$	10.6699	−	4.33404i	0.780262	−	0.316936i
$188$	−1.94656	+	3.56486i	−0.141967	+	0.259994i
$189$	−2.44989	+	0.281099i	−0.178203	+	0.0204469i
$190$	0.116712	−	0.0440747i	0.00846717	−	0.00319751i
$191$	5.93955	−	6.11165i	0.429771	−	0.442224i	−0.467308	−	0.884095i	$-0.654776\pi$
$191$	5.93955	−	6.11165i	0.429771	−	0.442224i	0.897079	+	0.441871i	$0.145685\pi$
$192$	3.38882	+	1.15485i	0.244567	+	0.0833441i
$193$	6.06661	+	14.9471i	0.436684	+	1.07591i	0.972775	+	0.231753i	$0.0744460\pi$
$193$	6.06661	+	14.9471i	0.436684	+	1.07591i	−0.536091	+	0.844160i	$0.680100\pi$
$194$	1.07967	−	0.609719i	0.0775160	−	0.0437753i
$195$	1.44404	−	4.99325i	0.103410	−	0.357574i
$196$	−1.75877	−	0.864729i	−0.125626	−	0.0617663i
$197$	−10.5361	−	0.753558i	−0.750667	−	0.0536888i	−0.309238	−	0.950985i	$-0.600074\pi$
$197$	−10.5361	−	0.753558i	−0.750667	−	0.0536888i	−0.441429	+	0.897296i	$0.645528\pi$
$198$	1.55400	−	12.0508i	0.110438	−	0.856415i
$199$	−0.930268	−	0.806082i	−0.0659450	−	0.0571416i	0.621265	−	0.783601i	$-0.286619\pi$
$199$	−0.930268	−	0.806082i	−0.0659450	−	0.0571416i	−0.687210	+	0.726459i	$0.741165\pi$
$200$	0.951630	−	15.0283i	0.0672904	−	1.06266i
$201$	−1.87557	+	2.43228i	−0.132292	+	0.171560i
$202$	1.72181	+	10.8711i	0.121146	+	0.764887i
$203$	2.31545	−	0.232226i	0.162513	−	0.0162991i
$204$	0.343240	−	0.315023i	0.0240316	−	0.0220560i
$205$	−1.32026	+	5.10749i	−0.0922113	+	0.356722i
$206$	16.2663	+	6.33303i	1.13332	+	0.441243i
$207$	−1.11265	−	25.9564i	−0.0773346	−	1.80409i
$208$	11.1114	−	14.8430i	0.770434	−	1.02918i
$209$	−0.0284891	−	0.140402i	−0.00197063	−	0.00971179i
$210$	−0.0224047	−	1.22011i	−0.00154607	−	0.0841956i
$211$	−6.38896	−	7.81336i	−0.439834	−	0.537894i	0.506005	−	0.862531i	$-0.331122\pi$
$211$	−6.38896	−	7.81336i	−0.439834	−	0.537894i	−0.945839	+	0.324636i	$0.894758\pi$
$212$	−2.84644	−	2.53851i	−0.195494	−	0.174346i
$213$	−0.412896	−	1.33535i	−0.0282911	−	0.0914967i
$214$	−6.44364	−	1.69374i	−0.440478	−	0.115781i
$215$	0.929988	+	1.80694i	0.0634246	+	0.123232i
$216$	−1.61052	−	6.92578i	−0.109582	−	0.471240i
$217$	−6.13257	−	1.89621i	−0.416306	−	0.128723i
$218$	−19.6268	−	4.86045i	−1.32930	−	0.329191i
$219$	−1.49422	+	3.27188i	−0.100970	+	0.221093i
$220$	−2.39818	−	0.546677i	−0.161686	−	0.0368569i
$221$	−8.28884	−	18.1500i	−0.557568	−	1.22090i
$222$	0.267152	+	1.42252i	0.0179301	+	0.0954733i
$223$	7.51656	+	0.107344i	0.503346	+	0.00718825i	0.265493	−	0.964113i	$-0.414465\pi$
$223$	7.51656	+	0.107344i	0.503346	+	0.00718825i	0.237853	+	0.971301i	$0.423556\pi$
$224$	−0.651316	+	1.82544i	−0.0435179	+	0.121967i
$225$	−12.4884	+	6.72031i	−0.832559	+	0.448021i
$226$	−1.51071	+	13.1664i	−0.100491	+	0.875817i
$227$	20.8884	+	17.5840i	1.38641	+	1.16709i	0.965627	+	0.259932i	$0.0837003\pi$
$227$	20.8884	+	17.5840i	1.38641	+	1.16709i	0.420786	+	0.907160i	$0.361754\pi$
$228$	−0.00306337	−	0.00491977i	−0.000202877	−	0.000325820i
$229$	−7.77145	+	2.04276i	−0.513552	+	0.134989i	−0.501871	−	0.864943i	$-0.667355\pi$
$229$	−7.77145	+	2.04276i	−0.513552	+	0.134989i	−0.0116813	+	0.999932i	$0.503718\pi$
$230$	26.4179	+	1.40250i	1.74194	+	0.0924778i
$231$	−1.38713	−	0.199051i	−0.0912662	−	0.0130966i
$232$	1.42633	+	6.55672i	0.0936429	+	0.430470i
$233$	−9.22002	+	4.69783i	−0.604023	+	0.307765i	−0.729127	−	0.684378i	$-0.760074\pi$
$233$	−9.22002	+	4.69783i	−0.604023	+	0.307765i	0.125104	+	0.992144i	$0.460074\pi$
$234$	−20.9745	−	1.80150i	−1.37114	−	0.117768i
$235$	−1.06110	+	27.3630i	−0.0692182	+	1.78496i
$236$	1.56115	+	2.28311i	0.101622	+	0.148618i
$237$	1.32756	+	5.36077i	0.0862342	+	0.348219i
$238$	−3.11790	−	3.49611i	−0.202104	−	0.226619i
$239$	10.9512	−	7.95655i	0.708377	−	0.514666i	−0.174273	−	0.984697i	$-0.555757\pi$
$239$	10.9512	−	7.95655i	0.708377	−	0.514666i	0.882650	+	0.470031i	$0.155757\pi$
$240$	2.89311	−	0.385892i	0.186749	−	0.0249092i
$241$			10.8424i			0.698420i	0.937045	+	0.349210i	$0.113550\pi$
$241$			10.8424i			0.698420i	−0.937045	+	0.349210i	$0.886450\pi$
$242$	5.33611	−	13.1679i	0.343018	−	0.846466i
$243$	−7.16924	+	7.16924i	−0.459907	+	0.459907i
$244$	0.0798935	−	2.79664i	0.00511466	−	0.179036i
$245$	−13.2131	+	0.0539203i	−0.844152	+	0.00344484i
$246$	−1.23071	−	0.0703745i	−0.0784672	−	0.00448692i
$247$	−0.240934	+	0.0596657i	−0.0153303	+	0.00379644i
$248$	3.41633	−	18.1912i	0.216937	−	1.15514i
$249$	1.03037	−	5.08509i	0.0652972	−	0.322254i
$250$	−5.59432	−	13.3133i	−0.353816	−	0.842010i
$251$	−8.91257	+	27.4301i	−0.562556	+	1.73137i	0.112546	+	0.993647i	$0.464099\pi$
$251$	−8.91257	+	27.4301i	−0.562556	+	1.73137i	−0.675102	+	0.737724i	$0.735901\pi$
$252$	0.960090	−	0.208855i	0.0604800	−	0.0131566i
$253$	6.44948	−	29.6869i	0.405475	−	1.86640i
$254$	−11.8668	−	18.4650i	−0.744586	−	1.15860i
$255$	1.12762	−	2.93160i	0.0706144	−	0.183584i
$256$	−7.52813	−	1.75059i	−0.470508	−	0.109412i
$257$	9.47773	−	11.2588i	0.591205	−	0.702304i	−0.384069	−	0.923304i	$-0.625478\pi$
$257$	9.47773	−	11.2588i	0.591205	−	0.702304i	0.975274	+	0.221000i	$0.0709322\pi$
$258$	−0.371877	+	0.295323i	−0.0231521	+	0.0183860i
$259$	−2.85083	+	0.493356i	−0.177142	+	0.0306556i
$260$	−0.769485	+	4.19154i	−0.0477215	+	0.259949i
$261$	4.53188	−	4.40426i	0.280516	−	0.272617i
$262$	−8.73175	+	1.63984i	−0.539449	+	0.101310i
$263$	−8.97409	+	24.0605i	−0.553366	+	1.48363i	0.295667	+	0.955291i	$0.404458\pi$
$263$	−8.97409	+	24.0605i	−0.553366	+	1.48363i	−0.849033	+	0.528340i	$0.822815\pi$
$264$	0.114281	−	4.03911i	0.00703349	−	0.248590i
$265$	−24.8006	−	6.79010i	−1.52349	−	0.417113i
$266$	−0.0499023	+	0.0300922i	−0.00305971	+	0.00184507i
$267$	−0.829594	+	2.68300i	−0.0507703	+	0.164197i
$268$	1.33105	−	2.13766i	0.0813066	−	0.130578i
$269$	8.44454	−	2.74380i	0.514873	−	0.167292i	−0.0400445	−	0.999198i	$-0.512750\pi$
$269$	8.44454	−	2.74380i	0.514873	−	0.167292i	0.554917	+	0.831906i	$0.312750\pi$
$270$	−4.33804	−	5.26124i	−0.264005	−	0.320189i
$271$	−14.9628	−	7.89507i	−0.908927	−	0.479592i	−0.0541182	−	0.998535i	$-0.517235\pi$
$271$	−14.9628	−	7.89507i	−0.908927	−	0.479592i	−0.854809	+	0.518943i	$0.826326\pi$
$272$	7.45735	−	8.36193i	0.452168	−	0.507016i
$273$	−0.242288	+	2.41578i	−0.0146640	+	0.146210i
$274$	2.09511	−	14.5718i	0.126570	−	0.880315i
$275$	−16.1199	+	3.89214i	−0.972067	+	0.234705i
$276$	−0.174900	−	1.21646i	−0.0105277	−	0.0732221i
$277$	−24.3082	+	1.04200i	−1.46054	+	0.0626076i	−0.759495	−	0.650513i	$-0.774554\pi$
$277$	−24.3082	+	1.04200i	−1.46054	+	0.0626076i	−0.701042	+	0.713120i	$0.747281\pi$
$278$	1.62147	+	3.68904i	0.0972493	+	0.221254i
$279$	−16.2440	+	6.32435i	−0.972500	+	0.378629i
$280$	0.830290	+	6.98452i	0.0496193	+	0.417405i
$281$	17.7599	−	21.7194i	1.05947	−	1.29567i	0.105935	−	0.994373i	$-0.466216\pi$
$281$	17.7599	−	21.7194i	1.05947	−	1.29567i	0.953530	−	0.301299i	$-0.0974201\pi$
$282$	−6.32006	+	1.00100i	−0.376354	+	0.0596086i
$283$	−4.31146	+	0.557178i	−0.256289	+	0.0331208i	−0.255237	−	0.966879i	$-0.582153\pi$
$283$	−4.31146	+	0.557178i	−0.256289	+	0.0331208i	−0.00105292	+	0.999999i	$0.500335\pi$
$284$	0.446088	+	1.05557i	0.0264704	+	0.0626365i
$285$	−0.0332527	−	0.0205175i	−0.00196972	−	0.00121535i
$286$	−23.1870	−	8.26594i	−1.37108	−	0.488776i
$287$	0.175787	−	2.45782i	0.0103764	−	0.145081i
$288$	1.69776	+	4.98196i	0.100042	+	0.293565i
$289$	1.66096	+	4.65517i	0.0977037	+	0.273834i
$290$	4.02239	+	5.02285i	0.236203	+	0.294952i
$291$	−0.357711	−	0.151170i	−0.0209694	−	0.00886174i
$292$	0.951253	−	2.79138i	0.0556679	−	0.163353i
$293$	8.01489	−	0.114460i	0.468235	−	0.00668683i	0.220235	−	0.975447i	$-0.429318\pi$
$293$	8.01489	−	0.114460i	0.468235	−	0.00668683i	0.248000	+	0.968760i	$0.420227\pi$
$294$	−0.613165	−	3.02609i	−0.0357605	−	0.176485i
$295$	16.2740	+	9.10299i	0.947512	+	0.529996i
$296$	−2.35036	−	8.00458i	−0.136612	−	0.465257i
$297$	−6.76167	+	3.94937i	−0.392352	+	0.229166i
$298$	24.3073	−	13.2728i	1.40809	−	0.768873i
$299$	−51.8633	−	8.97530i	−2.99933	−	0.519055i
$300$	−0.556076	+	0.375263i	−0.0321051	+	0.0216658i
$301$	−0.579650	−	0.751704i	−0.0334105	−	0.0433275i
$302$	−2.80817	+	2.97334i	−0.161592	+	0.171096i
$303$	2.36694	−	2.50615i	0.135977	−	0.143975i
$304$	−0.0851103	−	0.110373i	−0.00488141	−	0.00633033i
$305$	−7.90567	−	17.1257i	−0.452677	−	0.980615i
$306$	−12.5349	−	2.16925i	−0.716572	−	0.124008i
$307$	10.3073	−	5.62822i	0.588270	−	0.321220i	−0.157400	−	0.987535i	$-0.550311\pi$
$307$	10.3073	−	5.62822i	0.588270	−	0.321220i	0.745670	+	0.666315i	$0.232130\pi$
$308$	1.14788	+	0.0488899i	0.0654063	+	0.00278576i
$309$	−1.54023	−	5.24554i	−0.0876206	−	0.298409i
$310$	−4.82688	−	17.0814i	−0.274148	−	0.970159i
$311$	1.74961	+	8.63468i	0.0992115	+	0.489628i	0.998620	+	0.0525188i	$0.0167249\pi$
$311$	1.74961	+	8.63468i	0.0992115	+	0.489628i	−0.899408	+	0.437109i	$0.856002\pi$
$312$	−7.00009	+	0.0999679i	−0.396302	+	0.00565957i
$313$	−10.9736	+	32.2011i	−0.620262	+	1.82012i	−0.0498499	+	0.998757i	$0.515874\pi$
$313$	−10.9736	+	32.2011i	−0.620262	+	1.82012i	−0.570412	+	0.821358i	$0.693217\pi$
$314$	17.1158	+	7.23319i	0.965900	+	0.408193i
$315$	5.17060	−	4.14070i	0.291330	−	0.233302i
$316$	−1.52160	−	4.26459i	−0.0855968	−	0.239902i
$317$	−5.60240	−	16.4398i	−0.314662	−	0.923354i	−0.983652	−	0.180082i	$-0.942364\pi$
$317$	−5.60240	−	16.4398i	−0.314662	−	0.923354i	0.668989	−	0.743272i	$-0.266727\pi$
$318$	0.428646	−	5.99325i	0.0240373	−	0.336085i
$319$	6.43338	−	3.63542i	0.360200	−	0.203545i
$320$	−19.2568	+	4.56090i	−1.07649	+	0.254962i
$321$	0.812276	+	1.92208i	0.0453368	+	0.107280i
$322$	−12.2551	+	1.58376i	−0.682952	+	0.0882593i
$323$	−0.148144	+	0.0234637i	−0.00824296	+	0.00130556i
$324$	1.58594	−	1.93953i	0.0881080	−	0.107752i
$325$	7.92572	+	27.6165i	0.439640	+	1.53189i
$326$	6.40385	−	2.49325i	0.354676	−	0.138088i
$327$	2.54817	+	5.79740i	0.140914	+	0.320597i
$328$	7.09867	−	0.304293i	0.391959	−	0.0168018i
$329$	−1.82031	−	12.6605i	−0.100357	−	0.697998i
$330$	−1.62509	−	3.51783i	−0.0894583	−	0.193650i
$331$	1.61059	−	11.2019i	0.0885260	−	0.615712i	−0.896466	−	0.443113i	$-0.853874\pi$
$331$	1.61059	−	11.2019i	0.0885260	−	0.615712i	0.984992	−	0.172600i	$-0.0552167\pi$
$332$	−0.424506	+	4.23262i	−0.0232978	+	0.232295i
$333$	−5.22941	+	5.86374i	−0.286570	+	0.321331i
$334$	−11.8853	−	6.27124i	−0.650336	−	0.343147i
$335$	1.62528	−	16.8994i	0.0887987	−	0.923315i
$336$	−1.29660	+	0.421291i	−0.0707353	+	0.0229833i
$337$	3.40083	−	5.46173i	0.185255	−	0.297519i	−0.743124	−	0.669153i	$-0.766657\pi$
$337$	3.40083	−	5.46173i	0.185255	−	0.297519i	0.928379	+	0.371634i	$0.121202\pi$
$338$	−7.63857	+	24.7040i	−0.415483	+	1.34372i
$339$	3.55445	−	2.14341i	0.193051	−	0.116414i
$340$	−0.680034	+	2.48380i	−0.0368800	+	0.134703i
$341$	−20.2498	+	2.32907i	−1.09659	+	0.126126i
$342$	−0.0553021	+	0.148271i	−0.00299040	+	0.00801757i
$343$	13.2513	−	2.48863i	0.715506	−	0.134373i
$344$	1.96287	−	1.90760i	0.105831	−	0.102851i
$345$	−4.70461	−	6.82038i	−0.253288	−	0.367197i
$346$	9.31522	−	1.61206i	0.500789	−	0.0866650i
$347$	5.05050	−	4.01081i	0.271125	−	0.215312i	−0.476942	−	0.878935i	$-0.658255\pi$
$347$	5.05050	−	4.01081i	0.271125	−	0.215312i	0.748067	+	0.663623i	$0.230982\pi$
$348$	0.192514	−	0.228692i	0.0103198	−	0.0122592i
$349$	0.470320	+	0.109368i	0.0251757	+	0.00585435i	0.239066	−	0.971003i	$-0.423159\pi$
$349$	0.470320	+	0.109368i	0.0251757	+	0.00585435i	−0.213890	+	0.976858i	$0.568613\pi$
$350$	3.69298	+	5.64456i	0.197398	+	0.301715i
$351$	7.33484	+	11.4132i	0.391505	+	0.609193i
$352$	0.440740	+	6.13872i	0.0234915	+	0.327195i
$353$	25.0028	−	5.43902i	1.33076	−	0.289490i	0.509712	−	0.860345i	$-0.329752\pi$
$353$	25.0028	−	5.43902i	1.33076	−	0.289490i	0.821051	+	0.570855i	$0.193388\pi$
$354$	−1.34649	+	4.14406i	−0.0715649	+	0.220254i
$355$	5.85949	+	5.03556i	0.310989	+	0.267260i
$356$	0.457249	−	2.25661i	0.0242341	−	0.119600i
$357$	−0.270798	+	1.44193i	−0.0143322	+	0.0763153i
$358$	20.7047	−	5.12738i	1.09428	−	0.270991i
$359$	26.9029	+	1.53836i	1.41988	+	0.0811917i	0.750078	−	0.661349i	$-0.230016\pi$
$359$	26.9029	+	1.53836i	1.41988	+	0.0811917i	0.669801	+	0.742541i	$0.266379\pi$
$360$	13.5614	+	13.4511i	0.714746	+	0.708936i
$361$	0.542512	−	18.9904i	0.0285532	−	0.999494i
$362$	11.7896	−	11.7896i	0.619648	−	0.619648i
$363$	−4.28644	+	1.19493i	−0.224980	+	0.0627174i
$364$		−	1.99057i		−	0.104334i
$365$	−2.62865	−	19.7075i	−0.137590	−	1.03154i
$366$	3.56587	−	2.59076i	0.186391	−	0.135421i
$367$	2.05241	+	2.30137i	0.107135	+	0.120131i	0.797468	−	0.603361i	$-0.206172\pi$
$367$	2.05241	+	2.30137i	0.107135	+	0.120131i	−0.690333	+	0.723492i	$0.742536\pi$
$368$	−7.10459	−	28.6888i	−0.370352	−	1.49551i
$369$	−3.77701	−	5.52370i	−0.196623	−	0.287553i
$370$	−5.43372	−	5.87215i	−0.282486	−	0.305278i
$371$	11.9665	+	1.02781i	0.621272	+	0.0533611i
$372$	−0.734711	+	0.374354i	−0.0380930	+	0.0194094i
$373$	3.57989	+	16.4565i	0.185359	+	0.852084i	0.972057	+	0.234745i	$0.0754255\pi$
$373$	3.57989	+	16.4565i	0.185359	+	0.852084i	−0.786698	+	0.617339i	$0.788211\pi$
$374$	−13.5327	−	6.17570i	−0.699759	−	0.319338i
$375$	−2.23204	+	3.93370i	−0.115262	+	0.203135i
$376$	35.6702	−	9.37604i	1.83955	−	0.483532i
$377$	−6.76720	−	10.8681i	−0.348529	−	0.559737i
$378$	2.43671	+	2.05124i	0.125331	+	0.105504i
$379$	0.729693	−	6.35957i	0.0374818	−	0.326669i	−0.961222	−	0.275775i	$-0.911066\pi$
$379$	0.729693	−	6.35957i	0.0374818	−	0.326669i	0.998704	−	0.0508944i	$-0.0162072\pi$
$380$	0.0288056	+	0.0140171i	0.00147769	+	0.000719061i
$381$	−2.31015	+	6.47465i	−0.118353	+	0.331706i
$382$	−11.0067	−	0.157186i	−0.563151	−	0.00804233i
$383$	3.75219	+	19.9795i	0.191728	+	1.02091i	0.935727	+	0.352725i	$0.114745\pi$
$383$	3.75219	+	19.9795i	0.191728	+	1.02091i	−0.743999	+	0.668181i	$0.767073\pi$
$384$	−1.29733	−	2.84075i	−0.0662040	−	0.144967i
$385$	7.07751	−	3.14767i	0.360703	−	0.160420i
$386$	8.65551	−	18.9529i	0.440554	−	0.964678i
$387$	−2.50219	−	0.619650i	−0.127193	−	0.0314986i
$388$	0.304182	+	0.0940542i	0.0154425	+	0.00477488i
$389$	−1.48351	−	6.37957i	−0.0752167	−	0.323457i	0.922883	−	0.385081i	$-0.125827\pi$
$389$	−1.48351	−	6.37957i	−0.0752167	−	0.323457i	−0.998099	+	0.0616241i	$0.980372\pi$
$390$	−5.96953	+	3.07238i	−0.302279	+	0.155576i
$391$	−30.7611	−	8.08568i	−1.55566	−	0.408910i
$392$	5.25712	+	17.0021i	0.265524	+	0.858736i
$393$	2.07667	+	1.85202i	0.104754	+	0.0934221i
$394$	8.63659	+	10.5621i	0.435105	+	0.532111i
$395$	−21.9784	−	21.1858i	−1.10585	−	1.06597i
$396$	2.52365	−	1.83460i	0.126818	−	0.0921919i
$397$	2.98373	−	3.98579i	0.149749	−	0.200041i	−0.719394	−	0.694602i	$-0.755580\pi$
$397$	2.98373	−	3.98579i	0.149749	−	0.200041i	0.869143	+	0.494561i	$0.164671\pi$
$398$	0.0680906	+	1.58845i	0.00341307	+	0.0796217i
$399$	0.0170073	+	0.00662155i	0.000851431	+	0.000331492i
$400$	−12.4057	+	10.3142i	−0.620285	+	0.515709i
$401$	−14.0774	+	12.9201i	−0.702990	+	0.645198i	−0.945753	−	0.324887i	$-0.894674\pi$
$401$	−14.0774	+	12.9201i	−0.702990	+	0.645198i	0.242763	+	0.970086i	$0.421946\pi$
$402$	3.94739	−	0.395899i	0.196878	−	0.0197457i
$403$	5.52455	+	34.8806i	0.275197	+	1.73753i
$404$	−1.72585	+	2.23813i	−0.0858645	+	0.111351i
$405$	3.75862	−	16.4677i	0.186767	−	0.818284i
$406$	−2.27158	−	1.96834i	−0.112737	−	0.0976870i
$407$	−7.65569	+	5.07895i	−0.379479	+	0.251754i
$408$	−4.21970	−	0.301799i	−0.208906	−	0.0149413i
$409$	4.10775	+	2.01965i	0.203115	+	0.0998651i	0.539944	−	0.841701i	$-0.318445\pi$
$409$	4.10775	+	2.01965i	0.203115	+	0.0998651i	−0.336829	+	0.941566i	$0.609354\pi$
$410$	5.96702	−	3.28992i	0.294690	−	0.162478i
$411$	−4.01478	+	2.26725i	−0.198034	+	0.111835i
$412$	1.68567	+	4.15319i	0.0830469	+	0.204613i
$413$	−8.24434	−	2.80952i	−0.405677	−	0.138247i
$414$	−23.3872	+	24.0649i	−1.14942	+	1.18272i
$415$	10.1319	+	26.8298i	0.497355	+	1.31702i
$416$	10.5936	−	1.21550i	0.519393	−	0.0595948i
$417$	0.604844	−	1.10769i	0.0296193	−	0.0542438i
$418$	−0.106576	+	0.151271i	−0.00521280	+	0.00739890i
$419$	−1.78026	+	6.06300i	−0.0869713	+	0.296197i	−0.991480	−	0.130258i	$-0.958419\pi$
$419$	−1.78026	+	6.06300i	−0.0869713	+	0.296197i	0.904509	+	0.426455i	$0.140238\pi$
$420$	0.223822	−	0.219302i	0.0109214	−	0.0107008i
$421$	11.1572	+	6.30073i	0.543766	+	0.307079i	0.739031	−	0.673672i	$-0.235284\pi$
$421$	11.1572	+	6.30073i	0.543766	+	0.307079i	−0.195265	+	0.980751i	$0.562557\pi$
$422$	−1.67083	+	12.9289i	−0.0813348	+	0.629370i
$423$	−25.2526	−	23.8498i	−1.22782	−	1.15962i
$424$	0.988963	+	34.6182i	0.0480283	+	1.68121i
$425$	3.34373	+	17.0368i	0.162195	+	0.826408i
$426$	−0.887755	+	1.57201i	−0.0430119	+	0.0761642i
$427$	5.07639	+	7.20109i	0.245664	+	0.348485i
$428$	−0.819899	−	1.50153i	−0.0396313	−	0.0725793i
$429$	2.38443	+	7.33169i	0.115121	+	0.353978i
$430$	0.871996	−	2.47582i	0.0420514	−	0.119394i
$431$	0.375622	+	3.27370i	0.0180931	+	0.157689i	0.999395	−	0.0347876i	$-0.0110755\pi$
$431$	0.375622	+	3.27370i	0.0180931	+	0.157689i	−0.981302	+	0.192476i	$0.938348\pi$
$432$	−4.20979	+	6.34934i	−0.202543	+	0.305483i
$433$	−0.302060	−	21.1512i	−0.0145161	−	1.01646i	−0.868360	−	0.495934i	$-0.834826\pi$
$433$	−0.302060	−	21.1512i	−0.0145161	−	1.01646i	0.853844	−	0.520529i	$-0.174265\pi$
$434$	3.65820	+	7.44040i	0.175599	+	0.357151i
$435$	0.476476	−	1.95826i	0.0228453	−	0.0938912i
$436$	−2.55308	−	4.52092i	−0.122270	−	0.216513i
$437$	−0.169485	+	0.357520i	−0.00810757	+	0.0171025i
$438$	4.39759	−	1.49862i	0.210125	−	0.0716068i
$439$	−7.41394	−	8.55615i	−0.353848	−	0.408363i	0.550721	−	0.834689i	$-0.314353\pi$
$439$	−7.41394	−	8.55615i	−0.353848	−	0.408363i	−0.904569	+	0.426327i	$0.859807\pi$
$440$	11.3434	+	19.2402i	0.540776	+	0.917242i
$441$	10.9757	−	12.6666i	0.522651	−	0.603172i
$442$	−9.69238	+	23.8803i	−0.461019	+	1.13587i
$443$	1.30499	+	10.0980i	0.0620019	+	0.479772i	0.993304	+	0.115526i	$0.0368553\pi$
$443$	1.30499	+	10.0980i	0.0620019	+	0.479772i	−0.931303	+	0.364247i	$0.881327\pi$
$444$	−0.218456	+	0.300679i	−0.0103675	+	0.0142696i
$445$	−4.00748	−	14.9969i	−0.189973	−	0.710920i
$446$	−6.56544	−	7.15352i	−0.310883	−	0.338729i
$447$	−7.94072	−	3.49024i	−0.375583	−	0.165083i
$448$	8.46227	−	3.71948i	0.399805	−	0.175729i
$449$	12.6331	−	13.7647i	0.596193	−	0.649595i	−0.363186	−	0.931717i	$-0.618311\pi$
$449$	12.6331	−	13.7647i	0.596193	−	0.649595i	0.959379	+	0.282122i	$0.0910382\pi$
$450$	17.3862	+	5.76697i	0.819595	+	0.271858i
$451$	−2.63148	−	7.36887i	−0.123912	−	0.346987i
$452$	−2.72428	+	2.03937i	−0.128139	+	0.0959239i
$453$	1.27451	+	0.127826i	0.0598818	+	0.00600579i
$454$	−2.01337	−	35.2098i	−0.0944920	−	1.65248i
$455$	−5.97040	−	12.0190i	−0.279896	−	0.563462i
$456$	−0.0133785	+	0.0508971i	−0.000626506	+	0.00238348i
$457$	−7.02531	−	3.57957i	−0.328630	−	0.167445i	0.281889	−	0.959447i	$-0.409039\pi$
$457$	−7.02531	−	3.57957i	−0.328630	−	0.167445i	−0.610519	+	0.792002i	$0.709039\pi$
$458$	8.81052	+	5.48601i	0.411689	+	0.256344i
$459$	3.82587	+	7.25084i	0.178576	+	0.338440i
$460$	4.39596	+	5.17900i	0.204963	+	0.241472i
$461$	10.1345	+	4.62827i	0.472010	+	0.215560i	0.637195	−	0.770703i	$-0.280095\pi$
$461$	10.1345	+	4.62827i	0.472010	+	0.215560i	−0.165184	+	0.986263i	$0.552822\pi$
$462$	1.04329	+	1.47909i	0.0485382	+	0.0688137i
$463$	17.1543	+	6.39821i	0.797227	+	0.297350i	0.714874	−	0.699253i	$-0.246484\pi$
$463$	17.1543	+	6.39821i	0.797227	+	0.297350i	0.0823526	+	0.996603i	$0.473757\pi$
$464$	4.05782	−	5.93437i	0.188380	−	0.275496i
$465$	−3.31337	+	4.46400i	−0.153654	+	0.207013i
$466$	12.5884	+	4.49154i	0.583147	+	0.208067i
$467$	8.54096	+	6.02092i	0.395228	+	0.278615i	0.756693	−	0.653771i	$-0.226814\pi$
$467$	8.54096	+	6.02092i	0.395228	+	0.278615i	−0.361464	+	0.932386i	$0.617723\pi$
$468$	−3.36173	−	4.23316i	−0.155396	−	0.195678i
$469$	0.678616	+	7.90098i	0.0313356	+	0.364833i
$470$	26.6359	−	23.2711i	1.22862	−	1.07342i
$471$	−1.47945	−	5.62840i	−0.0681693	−	0.259343i
$472$	5.33855	−	24.5409i	0.245727	−	1.12959i
$473$	−2.64595	−	1.44386i	−0.121661	−	0.0663886i
$474$	3.85658	−	6.00095i	0.177138	−	0.275633i
$475$	0.215970	−	0.00176270i	0.00990938	−	8.08784e-5i
$476$	0.102936	−	1.19846i	0.00471805	−	0.0549312i
$477$	27.1839	−	18.0237i	1.24467	−	0.825248i
$478$	−17.1839	−	3.22716i	−0.785971	−	0.147607i
$479$	1.78218	−	2.95541i	0.0814298	−	0.135036i	−0.812968	−	0.582308i	$-0.802150\pi$
$479$	1.78218	−	2.95541i	0.0814298	−	0.135036i	0.894398	+	0.447272i	$0.147604\pi$
$480$	1.30377	+	1.05724i	0.0595088	+	0.0482562i
$481$	9.35605	+	12.8775i	0.426599	+	0.587163i
$482$	10.1814	−	9.61583i	0.463750	−	0.437989i
$483$	2.73662	+	2.73662i	0.124520	+	0.124520i
$484$	3.39902	−	1.32551i	0.154501	−	0.0602502i
$485$	2.11875	−	0.344446i	0.0962075	−	0.0156405i
$486$	13.0904	+	0.373962i	0.593792	+	0.0169633i
$487$	13.7215	+	2.17328i	0.621782	+	0.0984806i	0.459374	−	0.888243i	$-0.348074\pi$
$487$	13.7215	+	2.17328i	0.621782	+	0.0984806i	0.162408	+	0.986724i	$0.448074\pi$
$488$	−18.9603	+	16.9092i	−0.858293	+	0.765444i
$489$	−1.84312	−	1.11144i	−0.0833487	−	0.0502611i
$490$	11.7690	+	12.3597i	0.531667	+	0.558355i
$491$	26.1893	+	5.30664i	1.18191	+	0.239485i	0.749383	−	0.662137i	$-0.230350\pi$
$491$	26.1893	+	5.30664i	1.18191	+	0.239485i	0.432524	+	0.901622i	$0.357623\pi$
$492$	−0.203851	−	0.242158i	−0.00919030	−	0.0109173i
$493$	−3.51230	−	6.89329i	−0.158186	−	0.310458i
$494$	0.269706	+	0.173330i	0.0121347	+	0.00779847i
$495$	9.73522	−	18.6466i	0.437565	−	0.838101i
$496$	−16.6825	+	10.7212i	−0.749064	+	0.481394i
$497$	−3.11665	−	1.81924i	−0.139801	−	0.0816039i
$498$	−5.68889	+	3.54228i	−0.254925	+	0.158733i
$499$	−26.5189	+	2.27771i	−1.18715	+	0.101964i	−0.662305	−	0.749234i	$-0.730422\pi$
$499$	−26.5189	+	2.27771i	−1.18715	+	0.101964i	−0.524844	+	0.851198i	$0.675876\pi$
$500$	1.49901	−	3.39165i	0.0670378	−	0.151679i
$501$	0.717696	+	4.14717i	0.0320643	+	0.185282i
$502$	33.6621	−	15.9578i	1.50241	−	0.712231i
$503$	0.118747	−	8.31510i	0.00529469	−	0.370752i	−0.979917	−	0.199408i	$-0.936098\pi$
$503$	0.118747	−	8.31510i	0.00529469	−	0.370752i	0.985211	−	0.171344i	$-0.0548110\pi$
$504$	−7.36480	−	5.03592i	−0.328054	−	0.224318i
$505$	−3.70779	+	18.6902i	−0.164995	+	0.831705i
$506$	−33.5969	+	20.2723i	−1.49357	+	0.901212i
$507$	7.58795	−	2.83016i	0.336993	−	0.125692i
$508$	1.35483	−	5.47090i	0.0601109	−	0.242732i
$509$	−21.6392	+	11.4178i	−0.959139	+	0.506086i	−0.871676	−	0.490082i	$-0.836967\pi$
$509$	−21.6392	+	11.4178i	−0.959139	+	0.506086i	−0.0874630	+	0.996168i	$0.527876\pi$
$510$	−3.75294	+	1.54108i	−0.166183	+	0.0682404i
$511$	2.86978	+	8.83228i	0.126952	+	0.390717i
$512$	12.8161	+	21.9561i	0.566397	+	0.970333i
$513$	0.0974332	−	0.0301267i	0.00430178	−	0.00133013i
$514$	−18.9780	+	1.08520i	−0.837082	+	0.0478661i
$515$	22.6349	+	20.0211i	0.997413	+	0.882233i
$516$	−0.120697	−	0.0173537i	−0.00531341	−	0.000763953i
$517$	−21.4782	−	34.4729i	−0.944608	−	1.51611i
$518$	2.99161	+	2.23949i	0.131444	+	0.0983975i
$519$	−2.18137	−	2.00204i	−0.0957516	−	0.0878800i
$520$	32.4684	−	21.0539i	1.42383	−	0.923274i
$521$	−9.79446	−	25.1569i	−0.429103	−	1.10214i	−0.966011	−	0.258501i	$-0.916771\pi$
$521$	−9.79446	−	25.1569i	−0.429103	−	1.10214i	0.536908	−	0.843641i	$-0.319592\pi$
$522$	−8.15496	−	0.349572i	−0.356933	−	0.0153003i
$523$	1.67525	+	16.7034i	0.0732538	+	0.730390i	0.962194	+	0.272366i	$0.0878062\pi$
$523$	1.67525	+	16.7034i	0.0732538	+	0.730390i	−0.888940	+	0.458024i	$0.848557\pi$
$524$	−1.84563	−	1.34093i	−0.0806269	−	0.0585789i
$525$	0.693672	−	1.99546i	0.0302743	−	0.0870891i
$526$	30.5525	−	12.9116i	1.33215	−	0.562973i
$527$	1.52242	+	21.2862i	0.0663176	+	0.927241i
$528$	−3.23017	+	2.88232i	−0.140575	+	0.125437i
$529$	−46.0257	+	39.8815i	−2.00112	+	1.73398i
$530$	15.6189	+	29.3107i	0.678441	+	1.27317i
$531$	−22.2773	+	7.94852i	−0.966752	+	0.344936i
$532$	−0.0144160	−	0.00401023i	−0.000625013	−	0.000173865i
$533$	−12.5615	+	5.09836i	−0.544097	+	0.220834i
$534$	3.25518	−	1.60046i	0.140865	−	0.0692588i
$535$	−9.45415	−	6.60709i	−0.408739	−	0.285649i
$536$	−22.4108	+	4.54101i	−0.967998	+	0.196142i
$537$	−5.23149	−	4.15454i	−0.225756	−	0.179282i
$538$	−10.0658	−	5.49632i	−0.433966	−	0.236963i
$539$	16.1748	−	11.0666i	0.696699	−	0.476670i
$540$	0.217329	−	1.73745i	0.00935236	−	0.0747679i
$541$	−2.09911	+	12.1296i	−0.0902476	+	0.521491i	0.905105	+	0.425189i	$0.139792\pi$
$541$	−2.09911	+	12.1296i	−0.0902476	+	0.521491i	−0.995352	+	0.0963021i	$0.969299\pi$
$542$	5.85638	+	21.0526i	0.251553	+	0.904285i
$543$	−5.17883	−	0.669271i	−0.222245	−	0.0287212i
$544$	6.44091	−	0.184002i	0.276152	−	0.00788902i
$545$	−28.9752	−	19.6397i	−1.24116	−	0.841273i
$546$	2.48338	−	1.91498i	0.106279	−	0.0819534i
$547$	−26.4134	+	7.34764i	−1.12935	+	0.314162i	−0.781819	−	0.623505i	$-0.785708\pi$
$547$	−26.4134	+	7.34764i	−1.12935	+	0.314162i	−0.347534	+	0.937667i	$0.612981\pi$
$548$	3.08967	−	2.17806i	0.131984	−	0.0930420i
$549$	22.9569	+	6.74076i	0.979777	+	0.287689i
$550$	17.9512	+	11.6853i	0.765441	+	0.498264i
$551$	−0.0923418	+	0.0271140i	−0.00393389	+	0.00115510i
$552$	−6.94004	+	8.73905i	−0.295388	+	0.371959i
$553$	11.8841	+	7.87946i	0.505362	+	0.335069i
$554$	22.5368	+	21.9021i	0.957495	+	0.930532i
$555$	−0.417198	+	2.47072i	−0.0177091	+	0.104876i
$556$	−0.402791	+	0.953118i	−0.0170821	+	0.0404212i
$557$	−8.93566	+	32.1220i	−0.378616	+	1.36105i	0.492644	+	0.870231i	$0.336030\pi$
$557$	−8.93566	+	32.1220i	−0.378616	+	1.36105i	−0.871261	+	0.490821i	$0.836697\pi$
$558$	20.3451	+	9.64476i	0.861278	+	0.408295i
$559$	−2.30423	+	4.68657i	−0.0974586	+	0.198221i
$560$	4.82951	−	5.78482i	0.204084	−	0.244453i
$561$	1.05646	+	4.53748i	0.0446036	+	0.191573i
$562$	−36.1461	+	2.58522i	−1.52473	+	0.109051i
$563$	24.2701	+	9.85059i	1.02286	+	0.415153i	0.825034	−	0.565083i	$-0.191156\pi$
$563$	24.2701	+	9.85059i	1.02286	+	0.415153i	0.197830	+	0.980236i	$0.436611\pi$
$564$	−1.30117	−	1.00335i	−0.0547890	−	0.0422486i
$565$	−10.3324	+	20.4848i	−0.434688	+	0.861800i
$566$	4.34693	+	3.55446i	0.182715	+	0.149405i
$567$	−0.337894	+	7.88254i	−0.0141902	+	0.331035i
$568$	4.18712	−	9.52621i	0.175688	−	0.399711i
$569$	6.37651	−	16.3779i	0.267317	−	0.686598i	−0.732665	−	0.680590i	$-0.761724\pi$
$569$	6.37651	−	16.3779i	0.267317	−	0.686598i	0.999982	−	0.00600870i	$-0.00191264\pi$
$570$	0.0102243	+	0.0494219i	0.000428249	+	0.00207005i
$571$	2.12267	−	0.305194i	0.0888311	−	0.0127720i	−0.0977559	−	0.995210i	$-0.531166\pi$
$571$	2.12267	−	0.305194i	0.0888311	−	0.0127720i	0.186587	+	0.982438i	$0.440257\pi$
$572$	−2.54504	−	5.78596i	−0.106413	−	0.241923i
$573$	2.06606	+	2.75993i	0.0863109	+	0.115298i
$574$	−2.46388	+	2.01471i	−0.102841	+	0.0840923i
$575$	42.0764	+	18.0858i	1.75471	+	0.754231i
$576$	11.7144	−	22.2012i	0.488099	−	0.925051i
$577$	36.0927	−	21.0678i	1.50256	−	0.877065i	0.502637	−	0.864497i	$-0.332363\pi$
$577$	36.0927	−	21.0678i	1.50256	−	0.877065i	0.999921	−	0.0125677i	$-0.00400052\pi$
$578$	2.89831	−	5.68825i	0.120554	−	0.236600i
$579$	−6.35607	+	1.47804i	−0.264149	+	0.0614252i
$580$	−0.228479	+	1.63649i	−0.00948709	+	0.0679516i
$581$	−6.91760	−	11.4715i	−0.286990	−	0.475920i
$582$	0.175291	+	0.469972i	0.00726603	+	0.0194810i
$583$	36.0971	−	12.3123i	1.49499	−	0.509922i
$584$	−24.3584	+	11.1241i	−1.00796	+	0.460320i
$585$	−32.9948	−	15.4769i	−1.36417	−	0.639889i
$586$	−7.21567	−	7.42475i	−0.298077	−	0.306714i
$587$	−0.417630	−	0.880969i	−0.0172374	−	0.0363615i	0.894806	−	0.446456i	$-0.147314\pi$
$587$	−0.417630	−	0.880969i	−0.0172374	−	0.0363615i	−0.912043	+	0.410094i	$0.865496\pi$
$588$	0.456806	−	0.648000i	0.0188384	−	0.0267231i
$589$	0.263740	+	0.0302614i	0.0108672	+	0.00124690i
$590$	−5.88500	−	23.3551i	−0.242281	−	0.961515i
$591$	0.967845	−	4.16206i	0.0398118	−	0.171204i
$592$	−4.50582	+	7.71921i	−0.185188	+	0.317258i
$593$	−35.5792	−	7.73978i	−1.46106	−	0.317835i	−0.589360	−	0.807871i	$-0.700620\pi$
$593$	−35.5792	−	7.73978i	−1.46106	−	0.317835i	−0.871702	+	0.490036i	$0.836984\pi$
$594$	9.70535	+	2.84686i	0.398215	+	0.116808i
$595$	−2.97306	−	7.54502i	−0.121883	−	0.309316i
$596$	6.76345	+	2.19758i	0.277042	+	0.0900163i
$597$	0.380943	−	0.320681i	0.0155910	−	0.0131246i
$598$	37.5681	+	56.6615i	1.53627	+	2.31706i
$599$	11.7433	−	8.02984i	0.479817	−	0.328091i	−0.300170	−	0.953886i	$-0.597044\pi$
$599$	11.7433	−	8.02984i	0.479817	−	0.328091i	0.779988	+	0.625795i	$0.215225\pi$
$600$	5.94438	+	1.33126i	0.242678	+	0.0543485i
$601$	−1.22293	+	21.3867i	−0.0498845	+	0.872381i	0.873099	+	0.487542i	$0.162106\pi$
$601$	−1.22293	+	21.3867i	−0.0498845	+	0.872381i	−0.922984	+	0.384838i	$0.874257\pi$
$602$	−0.191800	+	1.21098i	−0.00781719	+	0.0493558i
$603$	14.7866	+	15.6562i	0.602155	+	0.637571i
$604$	−1.05018			−0.0427312
$605$	16.5476	−	18.1982i	0.672757	−	0.739863i
$606$	−4.45255			−0.180872
$607$	10.6421	+	11.2680i	0.431949	+	0.457354i	0.906084	−	0.423098i	$-0.139057\pi$
$607$	10.6421	+	11.2680i	0.431949	+	0.457354i	−0.474135	+	0.880452i	$0.657239\pi$
$608$	0.0125392	−	0.0791691i	0.000508530	−	0.00321073i
$609$	−0.0537422	+	0.939844i	−0.00217774	+	0.0380844i
$610$	−9.07033	+	22.6121i	−0.367247	+	0.915535i
$611$	−58.0888	+	39.7201i	−2.35002	+	1.60690i
$612$	−1.80509	−	2.72249i	−0.0729663	−	0.110050i
$613$	−3.60057	+	3.03099i	−0.145426	+	0.122420i	−0.713800	−	0.700350i	$-0.753027\pi$
$613$	−3.60057	+	3.03099i	−0.145426	+	0.122420i	0.568374	+	0.822770i	$0.307573\pi$
$614$	−14.4264	−	4.68742i	−0.582202	−	0.189169i
$615$	−1.95717	−	0.850734i	−0.0789205	−	0.0343049i
$616$	−6.83409	−	7.88260i	−0.275353	−	0.317599i
$617$	11.2559	+	2.44856i	0.453144	+	0.0985755i	0.433344	−	0.901228i	$-0.357333\pi$
$617$	11.2559	+	2.44856i	0.453144	+	0.0985755i	0.0197999	+	0.999804i	$0.493697\pi$
$618$	−3.55976	+	6.09847i	−0.143195	+	0.245316i
$619$	−5.95867	+	25.6243i	−0.239499	+	1.02993i	0.706998	+	0.707215i	$0.250049\pi$
$619$	−5.95867	+	25.6243i	−0.239499	+	1.02993i	−0.946497	+	0.322712i	$0.895406\pi$
$620$	2.33775	−	3.91273i	0.0938861	−	0.157139i
$621$	21.4852	+	2.46520i	0.862172	+	0.0989250i
$622$	6.55659	−	9.30082i	0.262895	−	0.372929i
$623$	3.10595	+	6.55184i	0.124437	+	0.262494i
$624$	5.22743	+	5.37890i	0.209265	+	0.215328i
$625$	−1.12170	−	24.9748i	−0.0448681	−	0.998993i
$626$	39.9702	−	18.2538i	1.59753	−	0.729567i
$627$	0.0579009	−	0.00249788i	0.00231234	−	9.97557e-5i
$628$	1.66741	+	4.47049i	0.0665368	+	0.178392i
$629$	4.96706	+	8.23694i	0.198050	+	0.328428i
$630$	−8.47393	−	1.18309i	−0.337610	−	0.0471356i
$631$	38.0350	−	8.84465i	1.51415	−	0.352100i	0.614571	−	0.788862i	$-0.289329\pi$
$631$	38.0350	−	8.84465i	1.51415	−	0.352100i	0.899577	+	0.436762i	$0.143875\pi$
$632$	−18.6660	+	36.6341i	−0.742494	+	1.45723i
$633$	3.52617	−	2.05828i	0.140153	−	0.0818092i
$634$	−10.4690	+	19.8409i	−0.415776	+	0.787984i
$635$	−8.22862	−	37.0969i	−0.326543	−	1.47214i
$636$	1.19440	−	0.976659i	0.0473612	−	0.0387271i
$637$	−20.3486	−	27.1826i	−0.806242	−	1.07701i
$638$	−9.11939	−	2.81702i	−0.361040	−	0.111527i
$639$	−9.70028	+	1.39469i	−0.383737	+	0.0551731i
$640$	14.4260	+	9.48031i	0.570238	+	0.374742i
$641$	−10.0873	+	25.9089i	−0.398423	+	1.02334i	0.579610	+	0.814894i	$0.303205\pi$
$641$	−10.0873	+	25.9089i	−0.398423	+	1.02334i	−0.978033	+	0.208448i	$0.933159\pi$
$642$	1.08451	−	2.46739i	0.0428023	−	0.0973803i
$643$	1.18448	−	27.6321i	0.0467115	−	1.08971i	−0.814082	−	0.580750i	$-0.802759\pi$
$643$	1.18448	−	27.6321i	0.0467115	−	1.08971i	0.860793	−	0.508955i	$-0.169968\pi$
$644$	−2.45638	−	2.00857i	−0.0967949	−	0.0791488i
$645$	−0.780820	+	0.257231i	−0.0307448	+	0.0101285i
$646$	0.153418	+	0.118303i	0.00603616	+	0.00465458i
$647$	−10.7101	−	4.34695i	−0.421058	−	0.170896i	0.155712	−	0.987802i	$-0.450233\pi$
$647$	−10.7101	−	4.34695i	−0.421058	−	0.170896i	−0.576770	+	0.816906i	$0.695687\pi$
$648$	−22.6921	+	1.62297i	−0.891429	+	0.0637562i
$649$	−27.5558	+	2.37438i	−1.08166	+	0.0932024i
$650$	18.9038	−	31.9349i	0.741466	−	1.25259i
$651$	1.14573	−	2.33029i	0.0449046	−	0.0913313i
$652$	1.59451	+	0.755891i	0.0624460	+	0.0296030i
$653$	−5.01528	+	18.0290i	−0.196263	+	0.705528i	0.798380	+	0.602154i	$0.205691\pi$
$653$	−5.01528	+	18.0290i	−0.196263	+	0.705528i	−0.994643	+	0.103373i	$0.967036\pi$
$654$	3.18406	−	7.53439i	0.124507	−	0.294618i
$655$	−15.1659	−	2.56086i	−0.592579	−	0.100061i
$656$	−5.45910	−	5.30537i	−0.213142	−	0.207140i
$657$	21.0191	+	13.9362i	0.820034	+	0.543704i
$658$	−10.2743	+	12.9376i	−0.400534	+	0.504361i
$659$	33.7757	−	9.91743i	1.31571	−	0.386328i	0.452769	−	0.891628i	$-0.350436\pi$
$659$	33.7757	−	9.91743i	1.31571	−	0.386328i	0.862944	+	0.505299i	$0.168618\pi$
$660$	0.370191	−	0.923608i	0.0144097	−	0.0359514i
$661$	−41.0743	−	12.0605i	−1.59761	−	0.469099i	−0.642727	−	0.766096i	$-0.722197\pi$
$661$	−41.0743	−	12.0605i	−1.59761	−	0.469099i	−0.954879	+	0.296996i	$0.904015\pi$
$662$	−11.9474	+	8.42227i	−0.464348	+	0.327341i
$663$	7.77646	−	2.16325i	0.302013	−	0.0840136i
$664$	30.5886	−	23.5874i	1.18707	−	0.915367i
$665$	−0.0990718	+	0.0190247i	−0.00384184	+	0.000737748i
$666$	10.1441	−	0.289793i	0.393076	−	0.0112293i
$667$	−20.2398	−	2.61562i	−0.783686	−	0.101277i
$668$	−0.924794	−	3.32446i	−0.0357814	−	0.128627i
$669$	−0.518560	+	2.99648i	−0.0200487	+	0.115850i
$670$	−17.3106	+	13.4615i	−0.668767	+	0.520062i
$671$	23.9624	+	14.4409i	0.925059	+	0.557485i
$672$	−0.688144	−	0.375755i	−0.0265457	−	0.0144951i
$673$	−13.7249	−	10.8995i	−0.529054	−	0.420144i	0.320812	−	0.947143i	$-0.396044\pi$
$673$	−13.7249	−	10.8995i	−0.529054	−	0.420144i	−0.849866	+	0.526999i	$0.823317\pi$
$674$	−8.14487	+	1.65036i	−0.313728	+	0.0635696i
$675$	−3.89897	−	11.1426i	−0.150071	−	0.428877i
$676$	−5.95854	+	2.92962i	−0.229175	+	0.112678i
$677$	−25.8571	+	10.4947i	−0.993770	+	0.403344i	−0.814316	−	0.580422i	$-0.802888\pi$
$677$	−25.8571	+	10.4947i	−0.993770	+	0.403344i	−0.179454	+	0.983766i	$0.557433\pi$
$678$	−5.16509	−	1.43682i	−0.198364	−	0.0551807i
$679$	−0.944341	+	0.336940i	−0.0362405	+	0.0129306i
$680$	20.6369	−	10.9969i	0.791389	−	0.421711i
$681$	−8.34764	+	7.23327i	−0.319882	+	0.277180i
$682$	20.1461	+	16.9497i	0.771436	+	0.649039i
$683$	1.86671	+	26.1000i	0.0714275	+	0.998687i	0.899176	+	0.437588i	$0.144167\pi$
$683$	1.86671	+	26.1000i	0.0714275	+	0.998687i	−0.827748	+	0.561100i	$0.810378\pi$
$684$	−0.0374298	+	0.0158180i	−0.00143116	+	0.000604815i
$685$	12.1227	−	22.4181i	0.463185	−	0.856551i
$686$	−14.0892	−	10.2364i	−0.537928	−	0.390827i
$687$	−0.324389	−	3.23438i	−0.0123762	−	0.123399i
$688$	−2.92981	−	0.125590i	−0.111698	−	0.00478806i
$689$	−23.9737	−	61.5760i	−0.913326	−	2.34586i
$690$	−2.23218	+	10.4666i	−0.0849776	+	0.398457i
$691$	−24.0510	−	22.0738i	−0.914942	−	0.839726i	0.0725548	−	0.997364i	$-0.476885\pi$
$691$	−24.0510	−	22.0738i	−0.914942	−	0.839726i	−0.987497	+	0.157638i	$0.949612\pi$
$692$	1.94332	+	1.45475i	0.0738740	+	0.0553014i
$693$	−2.89988	+	9.38764i	−0.110157	+	0.356607i
$694$	−8.24546	−	1.18552i	−0.312993	−	0.0450016i
$695$	0.426675	+	6.96303i	0.0161847	+	0.264123i
$696$	−2.71002	+	0.154965i	−0.102723	+	0.00587392i
$697$	−7.82649	+	2.41998i	−0.296450	+	0.0916634i
$698$	−0.314414	−	0.538643i	−0.0119007	−	0.0203880i
$699$	−1.29357	−	3.98118i	−0.0489271	−	0.150582i
$700$	−0.402620	+	1.68461i	−0.0152176	+	0.0636723i
$701$	−11.8337	+	6.24398i	−0.446951	+	0.235832i	−0.675000	−	0.737818i	$-0.735856\pi$
$701$	−11.8337	+	6.24398i	−0.446951	+	0.235832i	0.228049	+	0.973650i	$0.426765\pi$
$702$	4.21236	−	17.0098i	0.158985	−	0.641993i
$703$	0.112110	−	0.0418147i	0.00422829	−	0.00157707i
$704$	19.8416	−	21.6308i	0.747810	−	0.815241i
$705$	−10.8658	−	2.15558i	−0.409231	−	0.0811838i
$706$	−27.2817	−	18.6548i	−1.02676	−	0.702082i
$707$	0.127091	−	8.89934i	0.00477975	−	0.334694i
$708$	−1.01102	+	0.479281i	−0.0379964	+	0.0180125i
$709$	6.15183	+	35.5480i	0.231037	+	1.33503i	0.840324	+	0.542085i	$0.182365\pi$
$709$	6.15183	+	35.5480i	0.231037	+	1.33503i	−0.609287	+	0.792950i	$0.708544\pi$
$710$	−0.468057	−	9.96818i	−0.0175659	−	0.374099i
$711$	38.5799	−	3.31363i	1.44686	−	0.124271i
$712$	−17.7481	+	11.0511i	−0.665137	+	0.414158i
$713$	48.6175	+	28.3787i	1.82074	+	1.06279i
$714$	1.59419	−	1.02452i	0.0596611	−	0.0383419i
$715$	−32.7210	−	27.3022i	−1.22370	−	1.02104i
$716$	4.60766	+	2.96117i	0.172196	+	0.110664i
$717$	2.48604	+	4.87912i	0.0928428	+	0.182214i
$718$	−22.4149	−	26.6271i	−0.836516	−	0.993715i
$719$	15.5226	+	3.14529i	0.578896	+	0.117300i	0.479181	−	0.877716i	$-0.340934\pi$
$719$	15.5226	+	3.14529i	0.578896	+	0.117300i	0.0997158	+	0.995016i	$0.468207\pi$
$720$	0.500900	−	20.4583i	0.0186675	−	0.762435i
$721$	−12.0875	−	7.28900i	−0.450160	−	0.271457i
$722$	−18.3138	+	16.3326i	−0.681569	+	0.607838i
$723$	−4.33212	−	0.686140i	−0.161113	−	0.0255178i
$724$	4.27955	+	0.122257i	0.159048	+	0.00454364i
$725$	3.52883	+	10.5664i	0.131058	+	0.392427i
$726$	4.92361	+	2.96537i	0.182732	+	0.110055i
$727$	−7.96500	−	7.96500i	−0.295405	−	0.295405i	0.543806	−	0.839211i	$-0.316983\pi$
$727$	−7.96500	−	7.96500i	−0.295405	−	0.295405i	−0.839211	+	0.543806i	$0.816983\pi$
$728$	−13.1409	+	12.4109i	−0.487033	+	0.459979i
$729$	10.9095	+	15.0156i	0.404055	+	0.556135i
$730$	−16.1748	+	19.9465i	−0.598655	+	0.738252i
$731$	−1.62965	+	2.70248i	−0.0602749	+	0.0999547i
$732$	1.11235	+	0.208902i	0.0411137	+	0.00772122i
$733$	13.1843	−	8.74154i	0.486973	−	0.322876i	−0.285005	−	0.958526i	$-0.591995\pi$
$733$	13.1843	−	8.74154i	0.486973	−	0.322876i	0.771977	+	0.635650i	$0.219268\pi$
$734$	0.340839	−	3.96832i	0.0125806	−	0.146473i
$735$	0.814619	−	5.28274i	0.0300477	−	0.194857i
$736$	9.18946	−	14.2991i	0.338728	−	0.527071i
$737$	12.0743	+	22.0980i	0.444762	+	0.813991i
$738$	−1.83722	+	8.44558i	−0.0676291	+	0.310886i
$739$	−3.03866	−	11.5602i	−0.111779	−	0.425251i	0.887595	−	0.460624i	$-0.152374\pi$
$739$	−3.03866	−	11.5602i	−0.111779	−	0.425251i	−0.999374	+	0.0353734i	$0.988738\pi$
$740$	0.138193	−	2.04970i	0.00508006	−	0.0753485i
$741$	−0.00859261	−	0.100042i	−0.000315657	−	0.00367513i
$742$	−9.64766	−	12.1485i	−0.354177	−	0.445987i
$743$	14.8144	+	10.4434i	0.543487	+	0.383130i	0.815139	−	0.579266i	$-0.196661\pi$
$743$	14.8144	+	10.4434i	0.543487	+	0.383130i	−0.271652	+	0.962396i	$0.587570\pi$
$744$	7.05215	+	2.51620i	0.258544	+	0.0922484i
$745$	47.4289	−	7.01692i	1.73766	−	0.257080i
$746$	12.2783	−	17.9565i	0.449541	−	0.657432i
$747$	−34.0845	−	12.7129i	−1.24709	−	0.465139i
$748$	−1.23308	−	3.61515i	−0.0450860	−	0.132183i
$749$	4.90065	+	2.23805i	0.179066	+	0.0817766i
$750$	5.67342	−	1.39272i	0.207164	−	0.0508551i
$751$	−11.0380	−	20.9194i	−0.402784	−	0.763360i	0.596444	−	0.802655i	$-0.296580\pi$
$751$	−11.0380	−	20.9194i	−0.402784	−	0.763360i	−0.999228	+	0.0392949i	$0.987489\pi$
$752$	−33.5435	−	20.8864i	−1.22321	−	0.761648i
$753$	−10.3958	−	5.29691i	−0.378843	−	0.193030i
$754$	−4.20390	+	15.9933i	−0.153097	+	0.582441i
$755$	−6.34098	+	3.14985i	−0.230772	+	0.114635i
$756$	0.0466917	+	0.816545i	0.00169816	+	0.0296974i
$757$	31.7609	+	3.18543i	1.15437	+	0.115776i	0.658472	−	0.752605i	$-0.271203\pi$
$757$	31.7609	+	3.18543i	1.15437	+	0.115776i	0.495897	+	0.868381i	$0.334839\pi$
$758$	−6.61901	+	4.95493i	−0.240413	+	0.179971i
$759$	11.4534	+	4.45559i	0.415731	+	0.161728i
$760$	−0.0870641	−	0.277556i	−0.00315815	−	0.0100680i
$761$	−33.9768	+	37.0202i	−1.23166	+	1.34198i	−0.311595	+	0.950215i	$0.600863\pi$
$761$	−33.9768	+	37.0202i	−1.23166	+	1.34198i	−0.920065	+	0.391767i	$0.871864\pi$
$762$	8.12873	−	3.57288i	0.294473	−	0.129432i
$763$	14.9682	+	6.57906i	0.541884	+	0.238178i
$764$	−1.91126	−	2.08246i	−0.0691470	−	0.0753407i
$765$	−19.0648	−	11.0243i	−0.689289	−	0.398586i
$766$	15.4338	−	21.2428i	0.557645	−	0.767532i
$767$	6.14160	+	47.5238i	0.221760	+	1.71599i
$768$	1.17586	−	2.89711i	0.0424301	−	0.104540i
$769$	−11.6003	+	13.3874i	−0.418317	+	0.482764i	−0.925323	−	0.379179i	$-0.876207\pi$
$769$	−11.6003	+	13.3874i	−0.418317	+	0.482764i	0.507006	+	0.861942i	$0.330752\pi$
$770$	−9.23263	−	3.85444i	−0.332721	−	0.138905i
$771$	3.89871	+	4.49935i	0.140409	+	0.162040i
$772$	5.06422	−	1.72580i	0.182265	−	0.0621127i
$773$	−8.53970	+	18.0141i	−0.307152	+	0.647921i	−0.997114	−	0.0759250i	$-0.975809\pi$
$773$	−8.53970	+	18.0141i	−0.307152	+	0.647921i	0.689962	+	0.723846i	$0.257627\pi$
$774$	1.63725	+	2.89920i	0.0588498	+	0.104209i
$775$	2.37968	−	30.6368i	0.0854805	−	1.10051i
$776$	−1.27563	−	2.59449i	−0.0457923	−	0.0931368i
$777$	−0.0167127	−	1.17028i	−0.000599565	−	0.0419836i
$778$	−4.67496	+	7.05094i	−0.167606	+	0.252788i
$779$	0.0116166	+	0.101243i	0.000416207	+	0.00362741i
$780$	−1.62605	−	0.572705i	−0.0582220	−	0.0205061i
$781$	−11.3851	−	1.30316i	−0.407391	−	0.0466307i
$782$	19.6885	+	36.0568i	0.704059	+	1.28939i
$783$	3.03088	+	4.29944i	0.108315	+	0.153649i
$784$	9.37573	−	16.6023i	0.334848	−	0.592938i
$785$	23.4763	+	21.9917i	0.837906	+	0.784917i
$786$	−0.102632	−	3.59258i	−0.00366075	−	0.128143i
$787$	−4.47600	−	4.22736i	−0.159552	−	0.150689i	0.602704	−	0.797965i	$-0.294090\pi$
$787$	−4.47600	−	4.22736i	−0.159552	−	0.150689i	−0.762256	+	0.647276i	$0.775908\pi$
$788$	−0.449018	+	3.47451i	−0.0159956	+	0.123774i
$789$	−9.04554	−	5.10825i	−0.322030	−	0.181858i
$790$	−0.402142	+	39.4276i	−0.0143076	+	1.40277i
$791$	3.01922	−	10.2825i	0.107351	−	0.365604i
$792$	−27.8458	−	5.22160i	−0.989458	−	0.185541i
$793$	23.2305	−	42.5434i	0.824938	−	1.51076i
$794$	−6.38899	+	0.733069i	−0.226737	+	0.0260156i
$795$	4.28247	−	9.47949i	0.151884	−	0.336203i
$796$	−0.284528	+	0.292773i	−0.0100848	+	0.0103771i
$797$	−23.3805	−	7.96766i	−0.828181	−	0.282229i	−0.124029	−	0.992279i	$-0.539582\pi$
$797$	−23.3805	−	7.96766i	−0.828181	−	0.282229i	−0.704152	+	0.710050i	$0.748673\pi$
$798$	−0.00886547	−	0.0218430i	−0.000313834	−	0.000773233i
$799$	−37.0274	+	20.9103i	−1.30993	+	0.739754i
$800$	−9.21117	−	1.11402i	−0.325664	−	0.0393867i
$801$	17.6701	+	8.68779i	0.624341	+	0.306968i
$802$	24.6173	+	1.76066i	0.869266	+	0.0621711i
$803$	19.6340	+	22.0035i	0.692870	+	0.776487i
$804$	0.769876	+	0.667102i	0.0271514	+	0.0235269i
$805$	−20.8560	−	4.76023i	−0.735078	−	0.167776i
$806$	27.8546	−	36.1225i	0.981136	−	1.27236i
$807$	0.561898	+	3.54768i	0.0197797	+	0.124884i
$808$	25.5356	−	2.56107i	0.898340	−	0.0900981i
$809$	−5.30280	+	4.86686i	−0.186436	+	0.171110i	−0.763959	−	0.645265i	$-0.776747\pi$
$809$	−5.30280	+	4.86686i	−0.186436	+	0.171110i	0.577522	+	0.816375i	$0.304020\pi$
$810$	−18.7971	+	11.0753i	−0.660464	+	0.389145i
$811$	−30.7338	−	11.9658i	−1.07921	−	0.420175i	−0.243814	−	0.969822i	$-0.578399\pi$
$811$	−30.7338	−	11.9658i	−1.07921	−	0.420175i	−0.835397	+	0.549647i	$0.814762\pi$
$812$	−0.0330542	−	0.771103i	−0.00115997	−	0.0270604i
$813$	4.10140	−	5.47883i	0.143842	−	0.192151i
$814$	11.5590	+	2.68458i	0.405141	+	0.0940945i
$815$	11.8949	−	0.218423i	0.416658	−	0.00765103i
$816$	2.86911	+	3.50878i	0.100439	+	0.122832i
$817$	0.0292987	+	0.0261292i	0.00102503	+	0.000914145i
$818$	−1.74654	−	5.64850i	−0.0610663	−	0.197495i
$819$	16.4637	+	4.32756i	0.575289	+	0.151217i
$820$	1.66622	+	0.533881i	0.0581870	+	0.0186439i
$821$	3.52487	+	15.1581i	0.123019	+	0.529023i	0.998917	+	0.0465266i	$0.0148152\pi$
$821$	3.52487	+	15.1581i	0.123019	+	0.529023i	−0.875898	+	0.482496i	$0.839730\pi$
$822$	5.68963	+	1.75926i	0.198449	+	0.0613611i
$823$	−26.1753	−	6.48213i	−0.912412	−	0.225953i	−0.244027	−	0.969768i	$-0.578469\pi$
$823$	−26.1753	−	6.48213i	−0.912412	−	0.225953i	−0.668385	+	0.743815i	$0.733014\pi$
$824$	16.9077	−	37.0226i	0.589006	−	1.28974i
$825$	−0.535002	−	6.68707i	−0.0186264	−	0.232814i
$826$	4.67345	+	10.2334i	0.162610	+	0.356066i
$827$	4.81703	+	25.6495i	0.167505	+	0.891922i	0.959567	+	0.281481i	$0.0908258\pi$
$827$	4.81703	+	25.6495i	0.167505	+	0.891922i	−0.792062	+	0.610441i	$0.790992\pi$
$828$	−8.61590	−	0.123043i	−0.299423	−	0.00427604i
$829$	17.4180	−	48.8175i	0.604954	−	1.69550i	−0.107876	−	0.994164i	$-0.534405\pi$
$829$	17.4180	−	48.8175i	0.604954	−	1.69550i	0.712829	−	0.701337i	$-0.247413\pi$
$830$	16.2084	−	33.3088i	0.562602	−	1.15617i
$831$	1.12196	−	9.77836i	0.0389204	−	0.339208i
$832$	−38.9056	−	32.7510i	−1.34881	−	1.13544i
$833$	−10.8456	−	17.4180i	−0.375778	−	0.603499i
$834$	−1.57658	+	0.414410i	−0.0545925	+	0.0143499i
$835$	−15.5551	−	17.2993i	−0.538306	−	0.598667i
$836$	−0.0470300	+	0.00677505i	−0.00162657	+	0.000234320i
$837$	−3.08438	−	14.1787i	−0.106612	−	0.490087i
$838$	7.27224	−	3.70539i	0.251215	−	0.128001i
$839$	−21.5135	−	1.84779i	−0.742727	−	0.0637929i	−0.291955	−	0.956432i	$-0.594306\pi$
$839$	−21.5135	−	1.84779i	−0.742727	−	0.0637929i	−0.450772	+	0.892639i	$0.648851\pi$
$840$	−2.84323	−	0.110256i	−0.0981008	−	0.00380420i
$841$	13.5669	+	19.8410i	0.467825	+	0.684172i
$842$	−3.97837	−	16.0649i	−0.137104	−	0.553634i
$843$	7.55417	+	8.47049i	0.260179	+	0.291739i
$844$	−2.70818	+	1.96761i	−0.0932193	+	0.0677278i
$845$	−27.1907	+	35.5607i	−0.935389	+	1.22333i
$846$			44.8649i			1.54249i
$847$	−6.06744	+	9.75622i	−0.208480	+	0.335228i
$848$	26.2369	−	26.2369i	0.900979	−	0.900979i
$849$	0.0502197	−	1.75792i	0.00172353	−	0.0603316i
$850$	13.0327	−	18.2494i	0.447019	−	0.625950i
$851$	25.3316	+	1.44851i	0.868357	+	0.0496544i
$852$	−0.449987	+	0.111436i	−0.0154163	+	0.00381774i
$853$	9.87194	−	52.5657i	0.338009	−	1.79982i	−0.226088	−	0.974107i	$-0.572594\pi$
$853$	9.87194	−	52.5657i	0.338009	−	1.79982i	0.564097	−	0.825709i	$-0.309224\pi$
$854$	2.25997	−	11.1534i	0.0773345	−	0.381661i
$855$	−0.178557	+	0.207773i	−0.00610654	+	0.00710570i
$856$	−4.80051	+	14.7745i	−0.164078	+	0.504981i
$857$	49.6887	−	10.8091i	1.69733	−	0.369232i	0.743305	−	0.668953i	$-0.233257\pi$
$857$	49.6887	−	10.8091i	1.69733	−	0.369232i	0.954027	+	0.299721i	$0.0968935\pi$
$858$	4.77003	−	8.74136i	0.162846	−	0.298425i
$859$	−8.53904	−	13.2870i	−0.291348	−	0.453347i	0.664466	−	0.747319i	$-0.268659\pi$
$859$	−8.53904	−	13.2870i	−0.291348	−	0.453347i	−0.955814	+	0.293972i	$0.905023\pi$
$860$	0.615932	−	0.273729i	0.0210031	−	0.00933409i
$861$	0.970908	+	0.225775i	0.0330884	+	0.00769439i
$862$	2.74099	−	3.25608i	0.0933585	−	0.110903i
$863$	−24.5931	+	19.5304i	−0.837160	+	0.664824i	−0.944179	−	0.329433i	$-0.893142\pi$
$863$	−24.5931	+	19.5304i	−0.837160	+	0.664824i	0.107019	+	0.994257i	$0.465870\pi$
$864$	−4.31705	+	0.747095i	−0.146869	+	0.0254167i
$865$	16.0971	+	2.95511i	0.547317	+	0.100477i
$866$	−19.5939	+	19.0421i	−0.665827	+	0.647078i
$867$	−1.96510	+	0.369050i	−0.0667384	+	0.0125336i
$868$	−0.744002	+	1.99475i	−0.0252531	+	0.0677061i
$869$	44.6175	+	7.70878i	1.51355	+	0.261503i
$870$	−2.26145	+	1.28930i	−0.0766702	+	0.0437113i
$871$	37.3613	−	22.5297i	1.26594	−	0.763390i
$872$	−13.9270	+	45.0416i	−0.471629	+	1.52530i
$873$	−1.43921	+	2.31137i	−0.0487099	+	0.0782280i
$874$	0.486036	−	0.157923i	0.0164404	−	0.00534181i
$875$	2.62171	+	11.3793i	0.0886300	+	0.384690i
$876$	1.05511	+	0.556724i	0.0356488	+	0.0188100i
$877$	−13.7860	+	15.4582i	−0.465520	+	0.521988i	−0.931958	−	0.362566i	$-0.881901\pi$
$877$	−13.7860	+	15.4582i	−0.465520	+	0.521988i	0.466438	+	0.884554i	$0.345537\pi$
$878$	−1.45930	+	14.5502i	−0.0492489	+	0.491045i
$879$	−0.461474	+	3.20962i	−0.0155651	+	0.108258i
$880$	6.64169	−	22.9894i	0.223891	−	0.774973i
$881$	0.802325	+	5.58029i	0.0270310	+	0.188005i	0.998863	−	0.0476692i	$-0.0151793\pi$
$881$	0.802325	+	5.58029i	0.0270310	+	0.188005i	−0.971832	+	0.235674i	$0.924270\pi$
$882$	−21.6284	+	0.927127i	−0.728267	+	0.0312180i
$883$	4.19114	+	9.53534i	0.141043	+	0.320890i	0.971823	−	0.235711i	$-0.0757418\pi$
$883$	4.19114	+	9.53534i	0.141043	+	0.320890i	−0.830780	+	0.556600i	$0.812105\pi$
$884$	−6.16689	+	2.40099i	−0.207415	+	0.0807539i
$885$	−4.66700	+	5.92629i	−0.156880	+	0.199210i
$886$	8.32506	−	10.1811i	0.279686	−	0.342041i
$887$	10.6621	−	1.68870i	0.357997	−	0.0567011i	0.0251544	−	0.999684i	$-0.491992\pi$
$887$	10.6621	−	1.68870i	0.357997	−	0.0567011i	0.332842	+	0.942982i	$0.391992\pi$
$888$	3.34700	−	0.432539i	0.112318	−	0.0145151i
$889$	6.90913	+	16.3490i	0.231725	+	0.548327i
$890$	−10.5285	+	17.0635i	−0.352915	+	0.571970i
$891$	9.09604	+	23.3441i	0.304729	+	0.782056i
$892$	0.177866	−	2.48689i	0.00595540	−	0.0832673i
$893$	0.170632	+	0.500708i	0.00570999	+	0.0167556i
$894$	3.76496	+	10.5520i	0.125919	+	0.352913i
$895$	36.7026	+	4.05955i	1.22683	+	0.135696i
$896$	−7.42713	−	3.13873i	−0.248123	−	0.104858i
$897$	6.86819	−	20.1542i	0.229322	−	0.672929i
$898$	−24.1295	+	0.344592i	−0.805212	+	0.0114992i
$899$	2.71930	+	13.4203i	0.0906936	+	0.447591i
$900$	1.98881	+	4.26247i	0.0662936	+	0.142082i
$901$	−11.2496	−	38.3127i	−0.374779	−	1.27638i
$902$	−4.58584	+	9.00632i	−0.152692	+	0.299878i
$903$	0.337028	−	0.184031i	0.0112156	−	0.00612417i
$904$	30.4485	+	5.26933i	1.01270	+	0.175255i
$905$	26.2066	−	12.0976i	0.871136	−	0.402139i
$906$	−1.01030	−	1.31018i	−0.0335649	−	0.0435277i
$907$	22.3397	−	23.6536i	0.741777	−	0.785405i	−0.240936	−	0.970541i	$-0.577454\pi$
$907$	22.3397	−	23.6536i	0.741777	−	0.785405i	0.982713	+	0.185136i	$0.0592725\pi$
$908$	6.21803	−	6.58375i	0.206353	−	0.218489i
$909$	−14.7592	−	19.1401i	−0.489532	−	0.634836i
$910$	−5.99133	+	16.2658i	−0.198611	+	0.539206i
$911$	−10.2589	−	1.77537i	−0.339893	−	0.0588207i	−0.00197947	−	0.999998i	$-0.500630\pi$
$911$	−10.2589	−	1.77537i	−0.339893	−	0.0588207i	−0.337913	+	0.941177i	$0.609721\pi$
$912$	0.0494860	−	0.0270214i	0.00163865	−	0.000894768i
$913$	−34.7742	−	24.4997i	−1.15086	−	0.810822i
$914$	2.86921	+	9.77165i	0.0949052	+	0.323217i
$915$	7.34294	−	2.07497i	0.242750	−	0.0685965i
$916$	0.529261	+	2.61201i	0.0174873	+	0.0863031i
$917$	7.18345	−	0.102586i	0.237218	−	0.00338770i
$918$	3.41573	−	10.0232i	0.112736	−	0.330815i
$919$	−8.90702	−	3.76414i	−0.293815	−	0.124167i	0.237380	−	0.971417i	$-0.423711\pi$
$919$	−8.90702	−	3.76414i	−0.293815	−	0.124167i	−0.531195	+	0.847250i	$0.678257\pi$
$920$	6.78136	−	61.3106i	0.223575	−	2.02135i
$921$	1.59650	+	4.47450i	0.0526064	+	0.147440i
$922$	−4.64191	−	13.6213i	−0.152873	−	0.448595i
$923$	−1.41638	+	19.8036i	−0.0466208	+	0.651844i
$924$	−0.0921753	+	0.455544i	−0.00303234	+	0.0149863i
$925$	−5.31335	−	12.7906i	−0.174702	−	0.420551i
$926$	−9.20553	−	21.7829i	−0.302512	−	0.715830i
$927$	−38.0152	+	4.91278i	−1.24858	+	0.161357i
$928$	4.08354	−	0.646769i	0.134049	−	0.0212312i
$929$	29.0334	−	35.5063i	0.952554	−	1.16492i	−0.0336572	−	0.999433i	$-0.510715\pi$
$929$	29.0334	−	35.5063i	0.952554	−	1.16492i	0.986211	−	0.165491i	$-0.0529209\pi$
$930$	7.13040	−	0.847632i	0.233815	−	0.0277949i
$931$	−0.237855	+	0.0926054i	−0.00779538	+	0.00303502i
$932$	1.38100	+	3.14193i	0.0452360	+	0.102917i
$933$	−3.56074	+	0.152635i	−0.116573	+	0.00499705i
$934$	−1.92089	−	13.3601i	−0.0628533	−	0.437155i
$935$	−18.2884	−	18.1298i	−0.598095	−	0.592908i
$936$	−6.98559	+	48.5859i	−0.228331	+	1.58808i
$937$	−4.95038	+	49.3587i	−0.161722	+	1.61248i	0.502251	+	0.864722i	$0.332505\pi$
$937$	−4.95038	+	49.3587i	−0.161722	+	1.61248i	−0.663973	+	0.747757i	$0.731131\pi$
$938$	6.81746	−	7.64442i	0.222598	−	0.249599i
$939$	−12.1716	−	6.42231i	−0.397206	−	0.209584i
$940$	9.04049	+	0.869459i	0.294868	+	0.0283586i
$941$	−33.2219	+	10.7944i	−1.08300	+	0.351889i	−0.795539	−	0.605903i	$-0.792812\pi$
$941$	−33.2219	+	10.7944i	−1.08300	+	0.351889i	−0.287464	+	0.957792i	$0.592812\pi$
$942$	−3.97319	+	6.38094i	−0.129453	+	0.207902i
$943$	−6.38364	+	20.6454i	−0.207880	+	0.672307i
$944$	−23.0424	+	13.8951i	−0.749966	+	0.452246i
$945$	2.73102	+	4.79025i	0.0888401	+	0.155827i
$946$	0.990790	+	3.76516i	0.0322134	+	0.122416i
$947$	12.5790	−	33.7256i	0.408762	−	1.09593i	−0.555624	−	0.831434i	$-0.687520\pi$
$947$	12.5790	−	33.7256i	0.408762	−	1.09593i	0.964386	−	0.264500i	$-0.0852068\pi$
$948$	1.80022	−	0.338085i	0.0584686	−	0.0109805i
$949$	36.6404	−	35.6086i	1.18940	−	1.15590i
$950$	−0.193193	−	0.201240i	−0.00626802	−	0.00652909i
$951$	6.92314	−	1.19810i	0.224498	−	0.0388509i
$952$	−8.55349	+	6.79268i	−0.277220	+	0.220152i
$953$	22.8367	−	27.1282i	0.739754	−	0.878769i	−0.256384	−	0.966575i	$-0.582531\pi$
$953$	22.8367	−	27.1282i	0.739754	−	0.878769i	0.996138	+	0.0878060i	$0.0279856\pi$
$954$	−41.0336	−	9.54196i	−1.32851	−	0.308932i
$955$	−17.7862	−	6.84134i	−0.575548	−	0.221381i
$956$	−2.42726	−	3.77689i	−0.0785032	−	0.122153i
$957$	1.04542	+	2.80054i	0.0337937	+	0.0905287i
$958$	−4.35580	+	0.947547i	−0.140730	+	0.0306139i
$959$	−3.67864	+	11.3217i	−0.118790	+	0.365597i
$960$	−0.603691	−	7.98277i	−0.0194841	−	0.257643i
$961$	1.34465	−	6.63613i	0.0433760	−	0.214069i
$962$	3.79480	−	20.2064i	0.122349	−	0.651480i
$963$	14.2015	−	3.51690i	0.457636	−	0.113330i
$964$	3.59019	+	0.205295i	0.115632	+	0.00661209i
$965$	25.4015	−	25.6097i	0.817703	−	0.824405i
$966$	0.142747	−	4.99681i	0.00459282	−	0.160770i
$967$	−34.7380	+	34.7380i	−1.11710	+	1.11710i	−0.124935	+	0.992165i	$0.539872\pi$
$967$	−34.7380	+	34.7380i	−1.11710	+	1.11710i	−0.992165	+	0.124935i	$0.960128\pi$
$968$	−29.9428	−	14.1745i	−0.962399	−	0.455587i
$969$		−	0.0606763i		−	0.00194921i
$970$	−2.20251	−	1.68410i	−0.0707184	−	0.0540733i
$971$	47.7156	−	34.6674i	1.53127	−	1.11253i	0.575737	−	0.817635i	$-0.304715\pi$
$971$	47.7156	−	34.6674i	1.53127	−	1.11253i	0.955530	−	0.294895i	$-0.0952848\pi$
$972$	2.23817	+	2.50967i	0.0717895	+	0.0804976i
$973$	−0.783285	−	3.16295i	−0.0251110	−	0.101400i
$974$	−10.1285	−	14.8124i	−0.324538	−	0.474621i
$975$	−11.5358	+	1.41910i	−0.369442	+	0.0454474i
$976$	27.1187	+	2.32923i	0.868050	+	0.0745568i
$977$	−9.63649	+	4.91004i	−0.308299	+	0.157086i	−0.601294	−	0.799028i	$-0.705348\pi$
$977$	−9.63649	+	4.91004i	−0.308299	+	0.157086i	0.292995	+	0.956114i	$0.405348\pi$
$978$	0.590930	+	2.71646i	0.0188959	+	0.0868629i
$979$	17.4048	+	15.0730i	0.556261	+	0.481736i
$980$	−0.232328	+	4.37620i	−0.00742143	+	0.139793i
$981$	42.9424	−	11.2876i	1.37104	−	0.360384i
$982$	−18.2435	−	29.2990i	−0.582173	−	0.934969i
$983$	−37.5993	−	31.6514i	−1.19923	−	1.00952i	−0.999560	−	0.0296588i	$-0.990558\pi$
$983$	−37.5993	−	31.6514i	−1.19923	−	1.00952i	−0.199672	−	0.979863i	$-0.563988\pi$
$984$	−0.327645	+	2.85556i	−0.0104449	+	0.0910319i
$985$	7.71007	+	22.3258i	0.245663	+	0.711360i
$986$	−3.35807	+	9.41166i	−0.106943	+	0.299728i
$987$	5.17376	+	0.0738861i	0.164683	+	0.00235182i
$988$	0.0151949	+	0.0809092i	0.000483414	+	0.00257406i
$989$	3.45820	+	7.57240i	0.109964	+	0.240788i
$990$	−26.1437	+	7.39544i	−0.830902	+	0.235043i
$991$	−13.0981	+	28.6809i	−0.416076	+	0.911079i	0.579309	+	0.815108i	$0.303323\pi$
$991$	−13.0981	+	28.6809i	−0.416076	+	0.911079i	−0.995384	+	0.0959703i	$0.969405\pi$
$992$	−11.0701	−	2.74144i	−0.351477	−	0.0870409i
$993$	4.37384	+	1.35241i	0.138800	+	0.0429174i
$994$	1.05575	+	4.54008i	0.0334864	+	0.144003i
$995$	−0.839856	+	2.62116i	−0.0266252	+	0.0830963i
$996$	−1.66429	−	0.437466i	−0.0527351	−	0.0138616i
$997$	13.7425	+	44.4446i	0.435228	+	1.40758i	0.863694	+	0.504017i	$0.168145\pi$
$997$	13.7425	+	44.4446i	0.435228	+	1.40758i	−0.428466	+	0.903558i	$0.640946\pi$
$998$	25.6578	+	22.8822i	0.812183	+	0.724322i
$999$	−4.13997	−	5.06298i	−0.130983	−	0.160185i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	605.2.w.a.2.20	✓	5120
5.3	odd	4	inner	605.2.w.a.123.20	yes	5120
121.61	odd	110	inner	605.2.w.a.182.20	yes	5120
605.303	even	220	inner	605.2.w.a.303.20	yes	5120

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
605.2.w.a.2.20	✓	5120	1.1	even	1	trivial
605.2.w.a.123.20	yes	5120	5.3	odd	4	inner
605.2.w.a.182.20	yes	5120	121.61	odd	110	inner
605.2.w.a.303.20	yes	5120	605.303	even	220	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:	\( N \)	\(=\)	\( 605 = 5 \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	605.w (of order \(220\), degree \(80\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.886874 - 0.939036i) q^{2} +(-0.0632831 + 0.399554i) q^{3} +(0.0189344 - 0.331126i) q^{4} +(-0.878832 - 2.05613i) q^{5} +(0.431319 - 0.294929i) q^{6} +(0.577165 + 0.870500i) q^{7} +(-2.30400 + 1.93952i) q^{8} +(2.69753 + 0.876481i) q^{9} +O(q^{10})\)	\(q+(-0.886874 - 0.939036i) q^{2} +(-0.0632831 + 0.399554i) q^{3} +(0.0189344 - 0.331126i) q^{4} +(-0.878832 - 2.05613i) q^{5} +(0.431319 - 0.294929i) q^{6} +(0.577165 + 0.870500i) q^{7} +(-2.30400 + 1.93952i) q^{8} +(2.69753 + 0.876481i) q^{9} +(-1.15136 + 2.64878i) q^{10} +(2.79061 + 1.79234i) q^{11} +(0.131104 + 0.0285200i) q^{12} +(2.89678 - 4.96267i) q^{13} +(0.305558 - 1.31400i) q^{14} +(0.877148 - 0.221023i) q^{15} +(3.20563 + 0.367812i) q^{16} +(2.00069 - 2.83807i) q^{17} +(-1.56932 - 3.31041i) q^{18} +(-0.0301045 - 0.0309768i) q^{19} +(-0.697476 + 0.252072i) q^{20} +(-0.384336 + 0.175521i) q^{21} +(-0.791852 - 4.21006i) q^{22} +(-3.20100 - 8.58221i) q^{23} +(-0.629140 - 1.04331i) q^{24} +(-3.45531 + 3.61398i) q^{25} +(-7.22921 + 1.68108i) q^{26} +(-1.07187 + 2.10367i) q^{27} +(0.299173 - 0.174632i) q^{28} +(1.03974 - 1.97053i) q^{29} +(-0.985468 - 0.627654i) q^{30} +(-4.75773 + 3.89037i) q^{31} +(1.11205 + 1.48553i) q^{32} +(-0.892734 + 1.00158i) q^{33} +(-4.43941 + 0.638290i) q^{34} +(1.28263 - 1.95175i) q^{35} +(0.341302 - 0.876626i) q^{36} +(-1.11463 + 2.53591i) q^{37} +(-0.00238943 + 0.0557417i) q^{38} +(1.79954 + 1.47147i) q^{39} +(6.01274 + 3.03280i) q^{40} +(-1.86827 - 1.44065i) q^{41} +(0.505678 + 0.205241i) q^{42} +(-0.906518 + 0.0648355i) q^{43} +(0.646328 - 0.890106i) q^{44} +(-0.568522 - 6.31674i) q^{45} +(-5.22012 + 10.6172i) q^{46} +(-11.0658 - 5.24584i) q^{47} +(-0.349823 + 1.25755i) q^{48} +(2.30024 - 5.44302i) q^{49} +(6.45808 + 0.0395132i) q^{50} +(1.00735 + 0.978984i) q^{51} +(-1.58842 - 1.05316i) q^{52} +(7.15138 - 9.00518i) q^{53} +(2.92604 - 0.859162i) q^{54} +(1.23279 - 7.31302i) q^{55} +(-3.01815 - 0.886208i) q^{56} +(0.0142820 - 0.0100681i) q^{57} +(-2.77252 + 0.771258i) q^{58} +(-6.60381 + 5.09230i) q^{59} +(-0.0565780 - 0.294631i) q^{60} +(8.43208 - 0.240885i) q^{61} +(7.87271 + 1.01741i) q^{62} +(0.793944 + 2.85408i) q^{63} +(1.50915 - 8.72055i) q^{64} +(-12.7497 - 1.59480i) q^{65} +(1.73226 - 0.0499616i) q^{66} +(6.66380 + 3.63871i) q^{67} +(-0.901875 - 0.716216i) q^{68} +(3.63162 - 0.735862i) q^{69} +(-2.97029 + 0.526522i) q^{70} +(-3.10065 + 1.52449i) q^{71} +(-7.91507 + 3.21251i) q^{72} +(8.56625 + 2.38295i) q^{73} +(3.36984 - 1.20236i) q^{74} +(-1.22532 - 1.60928i) q^{75} +(-0.0108272 + 0.00938184i) q^{76} +(0.0504141 + 3.46370i) q^{77} +(-0.214195 - 2.99484i) q^{78} +(12.5752 - 5.31432i) q^{79} +(-2.06095 - 6.91443i) q^{80} +(6.11127 + 4.44010i) q^{81} +(0.304096 + 3.03205i) q^{82} +(-12.8139 - 0.549283i) q^{83} +(0.0508421 + 0.130587i) q^{84} +(-7.59370 - 1.61948i) q^{85} +(0.864850 + 0.793752i) q^{86} +(0.721536 + 0.540135i) q^{87} +(-9.90586 + 1.28291i) q^{88} +(6.87147 + 0.987968i) q^{89} +(-5.42744 + 6.13602i) q^{90} +(5.99193 - 0.342631i) q^{91} +(-2.90240 + 0.897433i) q^{92} +(-1.25333 - 2.14716i) q^{93} +(4.88797 + 15.0436i) q^{94} +(-0.0372354 + 0.0891221i) q^{95} +(-0.663924 + 0.350316i) q^{96} +(-0.230760 + 0.931825i) q^{97} +(-7.15121 + 2.66726i) q^{98} +(5.95682 + 7.28081i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 5120 q - 78 q^{2} - 60 q^{3} - 86 q^{5} - 156 q^{6} - 88 q^{7} - 78 q^{8}+O(q^{10}) \) 5120 * q - 78 * q^2 - 60 * q^3 - 86 * q^5 - 156 * q^6 - 88 * q^7 - 78 * q^8	\( 5120 q - 78 q^{2} - 60 q^{3} - 86 q^{5} - 156 q^{6} - 88 q^{7} - 78 q^{8} - 44 q^{10} - 152 q^{11} - 134 q^{12} - 34 q^{13} - 94 q^{15} - 280 q^{16} - 88 q^{17} - 56 q^{18} - 96 q^{20} - 176 q^{21} - 10 q^{22} - 56 q^{23} - 110 q^{25} - 188 q^{26} - 180 q^{27} - 138 q^{28} - 118 q^{30} - 148 q^{31} - 88 q^{32} - 88 q^{33} - 78 q^{35} - 496 q^{36} - 152 q^{37} - 230 q^{38} - 60 q^{40} - 216 q^{41} - 144 q^{42} - 88 q^{43} - 194 q^{45} - 236 q^{46} - 52 q^{47} + 12 q^{48} - 148 q^{50} + 244 q^{51} - 38 q^{52} - 84 q^{53} - 200 q^{55} + 136 q^{56} - 184 q^{57} - 14 q^{58} - 114 q^{60} - 116 q^{61} - 188 q^{62} - 36 q^{63} - 88 q^{65} - 76 q^{66} + 48 q^{67} - 58 q^{68} - 14 q^{70} - 196 q^{71} - 410 q^{72} - 138 q^{73} - 114 q^{75} - 308 q^{76} - 158 q^{77} + 14 q^{78} + 124 q^{80} + 836 q^{81} - 82 q^{82} - 178 q^{83} - 30 q^{85} - 268 q^{86} - 154 q^{87} - 258 q^{88} - 266 q^{90} - 344 q^{91} + 188 q^{92} - 32 q^{93} - 48 q^{95} - 176 q^{96} - 86 q^{97} - 88 q^{98}+O(q^{100}) \) 5120 * q - 78 * q^2 - 60 * q^3 - 86 * q^5 - 156 * q^6 - 88 * q^7 - 78 * q^8 - 44 * q^10 - 152 * q^11 - 134 * q^12 - 34 * q^13 - 94 * q^15 - 280 * q^16 - 88 * q^17 - 56 * q^18 - 96 * q^20 - 176 * q^21 - 10 * q^22 - 56 * q^23 - 110 * q^25 - 188 * q^26 - 180 * q^27 - 138 * q^28 - 118 * q^30 - 148 * q^31 - 88 * q^32 - 88 * q^33 - 78 * q^35 - 496 * q^36 - 152 * q^37 - 230 * q^38 - 60 * q^40 - 216 * q^41 - 144 * q^42 - 88 * q^43 - 194 * q^45 - 236 * q^46 - 52 * q^47 + 12 * q^48 - 148 * q^50 + 244 * q^51 - 38 * q^52 - 84 * q^53 - 200 * q^55 + 136 * q^56 - 184 * q^57 - 14 * q^58 - 114 * q^60 - 116 * q^61 - 188 * q^62 - 36 * q^63 - 88 * q^65 - 76 * q^66 + 48 * q^67 - 58 * q^68 - 14 * q^70 - 196 * q^71 - 410 * q^72 - 138 * q^73 - 114 * q^75 - 308 * q^76 - 158 * q^77 + 14 * q^78 + 124 * q^80 + 836 * q^81 - 82 * q^82 - 178 * q^83 - 30 * q^85 - 268 * q^86 - 154 * q^87 - 258 * q^88 - 266 * q^90 - 344 * q^91 + 188 * q^92 - 32 * q^93 - 48 * q^95 - 176 * q^96 - 86 * q^97 - 88 * q^98

Introduction

L-functions

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