LMFDB - Embedded newform 276.2.o.a.71.28

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [276,2,Mod(35,276)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(276, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 11, 20]))

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

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

chi := DirichletCharacter("276.35");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 276 = 2^{2} \cdot 3 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	276.o (of order $22$, degree $10$, 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:	$2.20387109579$
Analytic rank:	$0$
Dimension:	$440$
Relative dimension:	$44$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			71.28
Character	$\chi$	$=$	276.71
Dual form			276.2.o.a.35.28

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.542515 + 1.30602i) q^{2} +(-1.04993 - 1.37755i) q^{3} +(-1.41135 + 1.41707i) q^{4} +(0.512900 - 1.74678i) q^{5} +(1.22950 - 2.11857i) q^{6} +(-3.04781 - 2.64094i) q^{7} +(-2.61639 - 1.07447i) q^{8} +(-0.795302 + 2.89266i) q^{9} +O(q^{10})$	\(q+(0.542515 + 1.30602i) q^{2} +(-1.04993 - 1.37755i) q^{3} +(-1.41135 + 1.41707i) q^{4} +(0.512900 - 1.74678i) q^{5} +(1.22950 - 2.11857i) q^{6} +(-3.04781 - 2.64094i) q^{7} +(-2.61639 - 1.07447i) q^{8} +(-0.795302 + 2.89266i) q^{9} +(2.55957 - 0.277798i) q^{10} +(-3.05049 + 1.96043i) q^{11} +(3.43390 + 0.456395i) q^{12} +(-4.27444 - 4.93297i) q^{13} +(1.79563 - 5.41324i) q^{14} +(-2.94478 + 1.12744i) q^{15} +(-0.0161603 - 3.99997i) q^{16} +(3.77945 + 1.72602i) q^{17} +(-4.20933 + 0.530637i) q^{18} +(1.88294 - 0.859910i) q^{19} +(1.75142 + 3.19213i) q^{20} +(-0.438056 + 6.97132i) q^{21} +(-4.21529 - 2.92042i) q^{22} +(1.84505 - 4.42671i) q^{23} +(1.26689 + 4.73234i) q^{24} +(1.41811 + 0.911362i) q^{25} +(4.12359 - 8.25871i) q^{26} +(4.81980 - 1.94152i) q^{27} +(8.04393 - 0.591648i) q^{28} +(1.91216 + 0.873255i) q^{29} +(-3.07005 - 3.23428i) q^{30} +(-2.21649 - 0.318683i) q^{31} +(5.21525 - 2.19115i) q^{32} +(5.90339 + 2.14390i) q^{33} +(-0.203795 + 5.87241i) q^{34} +(-6.17635 + 3.96930i) q^{35} +(-2.97664 - 5.20957i) q^{36} +(-7.66522 + 2.25071i) q^{37} +(2.14458 + 1.99264i) q^{38} +(-2.30757 + 11.0675i) q^{39} +(-3.21881 + 4.01916i) q^{40} +(0.908324 - 3.09347i) q^{41} +(-9.34230 + 3.20994i) q^{42} +(-6.73787 + 0.968760i) q^{43} +(1.52726 - 7.08961i) q^{44} +(4.64492 + 2.87286i) q^{45} +(6.78233 + 0.00810976i) q^{46} +2.73062 q^{47} +(-5.49320 + 4.22194i) q^{48} +(1.31836 + 9.16942i) q^{49} +(-0.420908 + 2.34650i) q^{50} +(-1.59047 - 7.01858i) q^{51} +(13.0231 + 0.904993i) q^{52} +(-5.77832 - 5.00694i) q^{53} +(5.15047 + 5.24144i) q^{54} +(1.85984 + 6.33403i) q^{55} +(5.13666 + 10.1845i) q^{56} +(-3.16152 - 1.69101i) q^{57} +(-0.103107 + 2.97107i) q^{58} +(6.25607 + 7.21989i) q^{59} +(2.55847 - 5.76418i) q^{60} +(0.976622 - 6.79256i) q^{61} +(-0.786275 - 3.06766i) q^{62} +(10.0633 - 6.71594i) q^{63} +(5.69103 + 5.62247i) q^{64} +(-10.8092 + 4.93638i) q^{65} +(0.402716 + 8.87302i) q^{66} +(6.10076 - 9.49297i) q^{67} +(-7.78002 + 2.91971i) q^{68} +(-8.03520 + 2.10607i) q^{69} +(-8.53474 - 5.91301i) q^{70} +(5.66372 + 3.63985i) q^{71} +(5.18890 - 6.71382i) q^{72} +(-4.22928 - 9.26083i) q^{73} +(-7.09797 - 8.78985i) q^{74} +(-0.233461 - 2.91038i) q^{75} +(-1.43895 + 3.88189i) q^{76} +(14.4747 + 2.08115i) q^{77} +(-15.7063 + 2.99059i) q^{78} +(-3.73751 + 3.23857i) q^{79} +(-6.99534 - 2.02335i) q^{80} +(-7.73499 - 4.60108i) q^{81} +(4.53290 - 0.491969i) q^{82} +(-4.19720 + 1.23241i) q^{83} +(-9.26057 - 10.4597i) q^{84} +(4.95344 - 5.71658i) q^{85} +(-4.92062 - 8.27420i) q^{86} +(-0.804677 - 3.55096i) q^{87} +(10.0877 - 1.85160i) q^{88} +(-4.93823 + 0.710010i) q^{89} +(-1.23206 + 7.62491i) q^{90} +26.3233i q^{91} +(3.66892 + 8.86222i) q^{92} +(1.88815 + 3.38793i) q^{93} +(1.48140 + 3.56623i) q^{94} +(-0.536311 - 3.73012i) q^{95} +(-8.49406 - 4.88374i) q^{96} +(-0.574550 - 0.168703i) q^{97} +(-11.2602 + 6.69636i) q^{98} +(-3.24480 - 10.3832i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 440 q - 22 q^{4} - 8 q^{6} - 18 q^{9}+O(q^{10}) $ 440 * q - 22 * q^4 - 8 * q^6 - 18 * q^9	$ 440 q - 22 q^{4} - 8 q^{6} - 18 q^{9} - 30 q^{10} - 18 q^{12} - 36 q^{13} - 30 q^{16} - 10 q^{18} - 22 q^{21} - 48 q^{22} - 14 q^{24} - 8 q^{25} - 34 q^{28} - 21 q^{30} - 6 q^{33} - 32 q^{34} + 22 q^{36} - 36 q^{37} - 168 q^{40} + q^{42} - 44 q^{45} - 110 q^{46} - 6 q^{48} - 16 q^{49} - 94 q^{52} + 21 q^{54} - 46 q^{57} - 116 q^{58} - 47 q^{60} - 68 q^{61} - 28 q^{64} - 20 q^{66} - 22 q^{69} - 44 q^{70} - 23 q^{72} - 36 q^{73} - 74 q^{76} + 134 q^{78} - 130 q^{81} + 36 q^{82} + 105 q^{84} - 60 q^{85} + 38 q^{88} + 162 q^{90} - 332 q^{93} - 40 q^{94} + 225 q^{96} - 36 q^{97}+O(q^{100}) $ 440 * q - 22 * q^4 - 8 * q^6 - 18 * q^9 - 30 * q^10 - 18 * q^12 - 36 * q^13 - 30 * q^16 - 10 * q^18 - 22 * q^21 - 48 * q^22 - 14 * q^24 - 8 * q^25 - 34 * q^28 - 21 * q^30 - 6 * q^33 - 32 * q^34 + 22 * q^36 - 36 * q^37 - 168 * q^40 + q^42 - 44 * q^45 - 110 * q^46 - 6 * q^48 - 16 * q^49 - 94 * q^52 + 21 * q^54 - 46 * q^57 - 116 * q^58 - 47 * q^60 - 68 * q^61 - 28 * q^64 - 20 * q^66 - 22 * q^69 - 44 * q^70 - 23 * q^72 - 36 * q^73 - 74 * q^76 + 134 * q^78 - 130 * q^81 + 36 * q^82 + 105 * q^84 - 60 * q^85 + 38 * q^88 + 162 * q^90 - 332 * q^93 - 40 * q^94 + 225 * q^96 - 36 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/276\mathbb{Z}\right)^\times$.

$n$	$97$	$139$	$185$
$\chi(n)$	$e\left(\frac{1}{11}\right)$	$-1$	$-1$

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 $

$2$	0.542515	+	1.30602i	0.383616	+	0.923493i
$2$	0.542515	+	1.30602i	0.383616	+	0.923493i
$3$	−1.04993	−	1.37755i	−0.606176	−	0.795330i
$3$	−1.04993	−	1.37755i	−0.606176	−	0.795330i
$4$	−1.41135	+	1.41707i	−0.705677	+	0.708534i
$5$	0.512900	−	1.74678i	0.229376	−	0.781182i	−0.761706	−	0.647923i	$-0.775638\pi$
$5$	0.512900	−	1.74678i	0.229376	−	0.781182i	0.991081	−	0.133259i	$-0.0425441\pi$
$6$	1.22950	−	2.11857i	0.501943	−	0.864901i
$7$	−3.04781	−	2.64094i	−1.15196	−	0.998182i	−0.999952	−	0.00980340i	$-0.996879\pi$
$7$	−3.04781	−	2.64094i	−1.15196	−	0.998182i	−0.152012	−	0.988379i	$-0.548575\pi$
$8$	−2.61639	−	1.07447i	−0.925035	−	0.379882i
$9$	−0.795302	+	2.89266i	−0.265101	+	0.964221i
$10$	2.55957	−	0.277798i	0.809408	−	0.0878474i
$11$	−3.05049	+	1.96043i	−0.919758	+	0.591092i	−0.912587	−	0.408882i	$-0.865919\pi$
$11$	−3.05049	+	1.96043i	−0.919758	+	0.591092i	−0.00717026	+	0.999974i	$0.502282\pi$
$12$	3.43390	+	0.456395i	0.991283	+	0.131750i
$13$	−4.27444	−	4.93297i	−1.18552	−	1.36816i	−0.913994	−	0.405729i	$-0.867018\pi$
$13$	−4.27444	−	4.93297i	−1.18552	−	1.36816i	−0.271524	−	0.962432i	$-0.587528\pi$
$14$	1.79563	−	5.41324i	0.479902	−	1.44675i
$15$	−2.94478	+	1.12744i	−0.760340	+	0.291105i
$16$	−0.0161603	−	3.99997i	−0.00404007	−	0.999992i
$17$	3.77945	+	1.72602i	0.916651	+	0.418620i	0.817155	−	0.576418i	$-0.195550\pi$
$17$	3.77945	+	1.72602i	0.916651	+	0.418620i	0.0994957	+	0.995038i	$0.468277\pi$
$18$	−4.20933	+	0.530637i	−0.992148	+	0.125072i
$19$	1.88294	−	0.859910i	0.431976	−	0.197277i	−0.187546	−	0.982256i	$-0.560053\pi$
$19$	1.88294	−	0.859910i	0.431976	−	0.197277i	0.619523	+	0.784979i	$0.287326\pi$
$20$	1.75142	+	3.19213i	0.391629	+	0.713783i
$21$	−0.438056	+	6.97132i	−0.0955916	+	1.52127i
$22$	−4.21529	−	2.92042i	−0.898703	−	0.622637i
$23$	1.84505	−	4.42671i	0.384720	−	0.923033i
$23$	1.84505	−	4.42671i	0.384720	−	0.923033i
$24$	1.26689	+	4.73234i	0.258602	+	0.965984i
$25$	1.41811	+	0.911362i	0.283621	+	0.182272i
$26$	4.12359	−	8.25871i	0.808702	−	1.61967i
$27$	4.81980	−	1.94152i	0.927572	−	0.373645i
$28$	8.04393	−	0.591648i	1.52016	−	0.111811i
$29$	1.91216	+	0.873255i	0.355079	+	0.162159i	0.584965	−	0.811058i	$-0.301108\pi$
$29$	1.91216	+	0.873255i	0.355079	+	0.162159i	−0.229886	+	0.973218i	$0.573835\pi$
$30$	−3.07005	−	3.23428i	−0.560512	−	0.590496i
$31$	−2.21649	−	0.318683i	−0.398093	−	0.0572372i	−0.0596391	−	0.998220i	$-0.518995\pi$
$31$	−2.21649	−	0.318683i	−0.398093	−	0.0572372i	−0.338454	+	0.940983i	$0.609904\pi$
$32$	5.21525	−	2.19115i	0.921935	−	0.387344i
$33$	5.90339	+	2.14390i	1.02765	+	0.373205i
$34$	−0.203795	+	5.87241i	−0.0349506	+	1.00711i
$35$	−6.17635	+	3.96930i	−1.04399	+	0.670935i
$36$	−2.97664	−	5.20957i	−0.496107	−	0.868261i
$37$	−7.66522	+	2.25071i	−1.26015	+	0.370015i	−0.842552	−	0.538615i	$-0.818948\pi$
$37$	−7.66522	+	2.25071i	−1.26015	+	0.370015i	−0.417603	+	0.908630i	$0.637130\pi$
$38$	2.14458	+	1.99264i	0.347897	+	0.323248i
$39$	−2.30757	+	11.0675i	−0.369507	+	1.77222i
$40$	−3.21881	+	4.01916i	−0.508938	+	0.635485i
$41$	0.908324	−	3.09347i	0.141856	−	0.483119i	−0.857660	−	0.514217i	$-0.828082\pi$
$41$	0.908324	−	3.09347i	0.141856	−	0.483119i	0.999516	+	0.0310987i	$0.00990063\pi$
$42$	−9.34230	+	3.20994i	−1.44155	+	0.495304i
$43$	−6.73787	+	0.968760i	−1.02752	+	0.147735i	−0.635402	−	0.772182i	$-0.719165\pi$
$43$	−6.73787	+	0.968760i	−1.02752	+	0.147735i	−0.392115	+	0.919916i	$0.628256\pi$
$44$	1.52726	−	7.08961i	0.230243	−	1.06880i
$45$	4.64492	+	2.87286i	0.692424	+	0.428261i
$46$	6.78233	+	0.00810976i	0.999999	+	0.00119572i
$47$	2.73062			0.398301			0.199151	−	0.979969i	$-0.436182\pi$
$47$	2.73062			0.398301			0.199151	+	0.979969i	$0.436182\pi$
$48$	−5.49320	+	4.22194i	−0.792875	+	0.609384i
$49$	1.31836	+	9.16942i	0.188338	+	1.30992i
$50$	−0.420908	+	2.34650i	−0.0595254	+	0.331845i
$51$	−1.59047	−	7.01858i	−0.222710	−	0.982798i
$52$	13.0231	+	0.904993i	1.80598	+	0.125500i
$53$	−5.77832	−	5.00694i	−0.793713	−	0.687757i	0.160450	−	0.987044i	$-0.448706\pi$
$53$	−5.77832	−	5.00694i	−0.793713	−	0.687757i	−0.954163	+	0.299287i	$0.903251\pi$
$54$	5.15047	+	5.24144i	0.700890	+	0.713269i
$55$	1.85984	+	6.33403i	0.250781	+	0.854080i
$56$	5.13666	+	10.1845i	0.686415	+	1.36096i
$57$	−3.16152	−	1.69101i	−0.418754	−	0.223979i
$58$	−0.103107	+	2.97107i	−0.0135387	+	0.390120i
$59$	6.25607	+	7.21989i	0.814471	+	0.939950i	0.999081	−	0.0428622i	$-0.0136476\pi$
$59$	6.25607	+	7.21989i	0.814471	+	0.939950i	−0.184610	+	0.982812i	$0.559102\pi$
$60$	2.55847	−	5.76418i	0.330297	−	0.744152i
$61$	0.976622	−	6.79256i	0.125044	−	0.869698i	−0.826665	−	0.562695i	$-0.809765\pi$
$61$	0.976622	−	6.79256i	0.125044	−	0.869698i	0.951708	−	0.307003i	$-0.0993262\pi$
$62$	−0.786275	−	3.06766i	−0.0998570	−	0.389593i
$63$	10.0633	−	6.71594i	1.26785	−	0.846128i
$64$	5.69103	+	5.62247i	0.711379	+	0.702809i
$65$	−10.8092	+	4.93638i	−1.34071	+	0.612282i
$66$	0.402716	+	8.87302i	0.0495709	+	1.09219i
$67$	6.10076	−	9.49297i	0.745326	−	1.15975i	−0.236806	−	0.971557i	$-0.576100\pi$
$67$	6.10076	−	9.49297i	0.745326	−	1.15975i	0.982132	−	0.188193i	$-0.0602631\pi$
$68$	−7.78002	+	2.91971i	−0.943466	+	0.354067i
$69$	−8.03520	+	2.10607i	−0.967325	+	0.253541i
$70$	−8.53474	−	5.91301i	−1.02010	−	0.706740i
$71$	5.66372	+	3.63985i	0.672160	+	0.431971i	0.831704	−	0.555220i	$-0.187366\pi$
$71$	5.66372	+	3.63985i	0.672160	+	0.431971i	−0.159544	+	0.987191i	$0.551002\pi$
$72$	5.18890	−	6.71382i	0.611518	−	0.791231i
$73$	−4.22928	−	9.26083i	−0.495000	−	1.08390i	−0.978062	−	0.208312i	$-0.933203\pi$
$73$	−4.22928	−	9.26083i	−0.495000	−	1.08390i	0.483063	−	0.875586i	$-0.339524\pi$
$74$	−7.09797	−	8.78985i	−0.825122	−	1.02180i
$75$	−0.233461	−	2.91038i	−0.0269578	−	0.336062i
$76$	−1.43895	+	3.88189i	−0.165058	+	0.445284i
$77$	14.4747	+	2.08115i	1.64954	+	0.237169i
$78$	−15.7063	+	2.99059i	−1.77838	+	0.338618i
$79$	−3.73751	+	3.23857i	−0.420503	+	0.364368i	−0.839260	−	0.543730i	$-0.817011\pi$
$79$	−3.73751	+	3.23857i	−0.420503	+	0.364368i	0.418757	+	0.908098i	$0.362466\pi$
$80$	−6.99534	−	2.02335i	−0.782102	−	0.226218i
$81$	−7.73499	−	4.60108i	−0.859443	−	0.511231i
$82$	4.53290	−	0.491969i	0.500575	−	0.0543289i
$83$	−4.19720	+	1.23241i	−0.460702	+	0.135274i	−0.503844	−	0.863795i	$-0.668081\pi$
$83$	−4.19720	+	1.23241i	−0.460702	+	0.135274i	0.0431419	+	0.999069i	$0.486263\pi$
$84$	−9.26057	−	10.4597i	−1.01041	−	1.14125i
$85$	4.95344	−	5.71658i	0.537276	−	0.620050i
$86$	−4.92062	−	8.27420i	−0.530604	−	0.892230i
$87$	−0.804677	−	3.55096i	−0.0862705	−	0.380703i
$88$	10.0877	−	1.85160i	1.07535	−	0.197381i
$89$	−4.93823	+	0.710010i	−0.523451	+	0.0752609i	−0.398975	−	0.916962i	$-0.630634\pi$
$89$	−4.93823	+	0.710010i	−0.523451	+	0.0752609i	−0.124476	+	0.992223i	$0.539725\pi$
$90$	−1.23206	+	7.62491i	−0.129870	+	0.803737i
$91$			26.3233i			2.75943i
$92$	3.66892	+	8.86222i	0.382512	+	0.923951i
$93$	1.88815	+	3.38793i	0.195792	+	0.351312i
$94$	1.48140	+	3.56623i	0.152795	+	0.367828i
$95$	−0.536311	−	3.73012i	−0.0550243	−	0.382703i
$96$	−8.49406	−	4.88374i	−0.866922	−	0.498444i
$97$	−0.574550	−	0.168703i	−0.0583367	−	0.0171292i	0.252434	−	0.967614i	$-0.418769\pi$
$97$	−0.574550	−	0.168703i	−0.0583367	−	0.0171292i	−0.310771	+	0.950485i	$0.600587\pi$
$98$	−11.2602	+	6.69636i	−1.13745	+	0.676434i
$99$	−3.24480	−	10.3832i	−0.326115	−	1.04355i
$100$	−3.29291	+	0.723299i	−0.329291	+	0.0723299i
$101$	−1.92885	−	6.56905i	−0.191927	−	0.653645i	−0.998080	−	0.0619371i	$-0.980272\pi$
$101$	−1.92885	−	6.56905i	−0.191927	−	0.653645i	0.806153	−	0.591708i	$-0.201546\pi$
$102$	8.30352	−	5.88487i	0.822171	−	0.582689i
$103$	5.72121	+	8.90237i	0.563727	+	0.877177i	0.999741	−	0.0227632i	$-0.00724638\pi$
$103$	5.72121	+	8.90237i	0.563727	+	0.877177i	−0.436014	+	0.899940i	$0.643610\pi$
$104$	5.88330	+	17.4994i	0.576905	+	1.71595i
$105$	11.9527	+	4.34077i	1.16646	+	0.423616i
$106$	3.40432	−	10.2629i	0.330657	−	0.996823i
$107$	1.81424	−	12.6183i	0.175389	−	1.21986i	−0.691877	−	0.722016i	$-0.743216\pi$
$107$	1.81424	−	12.6183i	0.175389	−	1.21986i	0.867266	−	0.497845i	$-0.165875\pi$
$108$	−4.05119	+	9.57015i	−0.389826	+	0.920889i
$109$	3.97665	−	8.70764i	0.380894	−	0.834041i	−0.617962	−	0.786208i	$-0.712041\pi$
$109$	3.97665	−	8.70764i	0.380894	−	0.834041i	0.998855	−	0.0478327i	$-0.0152314\pi$
$110$	−7.26335	+	5.86529i	−0.692533	+	0.559233i
$111$	11.1484	+	8.19616i	1.05816	+	0.777945i
$112$	−10.5144	+	12.2338i	−0.993520	+	1.15599i
$113$	0.345825	−	0.538114i	0.0325325	−	0.0506215i	−0.824606	−	0.565707i	$-0.808603\pi$
$113$	0.345825	−	0.538114i	0.0325325	−	0.0506215i	0.857139	+	0.515085i	$0.172240\pi$
$114$	0.493305	−	5.04640i	0.0462022	−	0.472638i
$115$	−6.78615	−	5.49336i	−0.632811	−	0.512258i
$116$	−3.93620	+	1.47719i	−0.365467	+	0.137154i
$117$	17.6689	−	8.44132i	1.63349	−	0.780400i
$118$	−6.03528	+	12.0874i	−0.555592	+	1.11274i
$119$	−6.96073	−	15.2419i	−0.638089	−	1.39722i
$120$	8.91612	+	0.214245i	0.813926	+	0.0195578i
$121$	0.892637	−	1.95460i	0.0811488	−	0.177691i
$122$	9.40102	−	2.40958i	0.851128	−	0.218153i
$123$	−5.21509	+	1.99666i	−0.470229	+	0.180032i
$124$	3.57985	−	2.69114i	0.321480	−	0.241672i
$125$	9.19858	−	7.97061i	0.822746	−	0.712913i
$126$	14.2306	+	9.49930i	1.26776	+	0.846265i
$127$	0.216248	+	0.336488i	0.0191889	+	0.0298585i	0.850716	−	0.525626i	$-0.176169\pi$
$127$	0.216248	+	0.336488i	0.0191889	+	0.0298585i	−0.831527	+	0.555485i	$0.812533\pi$
$128$	−4.25556	+	10.4829i	−0.376142	+	0.926562i
$129$	8.40880	+	8.26465i	0.740354	+	0.727662i
$130$	−12.3111	−	11.4389i	−1.07976	−	1.00326i
$131$	2.50373	−	2.88946i	0.218752	−	0.252454i	−0.635758	−	0.771889i	$-0.719312\pi$
$131$	2.50373	−	2.88946i	0.218752	−	0.252454i	0.854510	+	0.519435i	$0.173858\pi$
$132$	−11.3698	+	5.33970i	−0.989616	+	0.464762i
$133$	−8.00982	−	2.35189i	−0.694539	−	0.203935i
$134$	15.7077	+	2.81761i	1.35694	+	0.243404i
$135$	−0.919318	−	9.41492i	−0.0791223	−	0.810308i
$136$	−8.03397	−	8.57684i	−0.688908	−	0.735458i
$137$			1.39106i			0.118846i	0.998233	+	0.0594230i	$0.0189261\pi$
$137$			1.39106i			0.118846i	−0.998233	+	0.0594230i	$0.981074\pi$
$138$	−7.10978	−	9.35152i	−0.605225	−	0.796055i
$139$		−	11.7810i		−	0.999253i	−0.866241	−	0.499626i	$-0.833471\pi$
$139$		−	11.7810i		−	0.999253i	0.866241	−	0.499626i	$-0.166529\pi$
$140$	3.09225	−	14.3544i	0.261343	−	1.21317i
$141$	−2.86695	−	3.76157i	−0.241441	−	0.316781i
$142$	−1.68105	+	9.37159i	−0.141070	+	0.786446i
$143$	22.7099	+	6.66823i	1.89910	+	0.557625i
$144$	11.5834	+	3.13444i	0.965284	+	0.261203i
$145$	2.50613	−	2.89223i	0.208123	−	0.240186i
$146$	9.80034	−	10.5476i	0.811082	−	0.872930i
$147$	11.2472	−	11.4433i	0.927651	−	0.943831i
$148$	7.62893	−	14.0387i	0.627094	−	1.15397i
$149$	−7.83753	−	12.1954i	−0.642076	−	0.999089i	−0.997915	−	0.0645420i	$-0.979441\pi$
$149$	−7.83753	−	12.1954i	−0.642076	−	0.999089i	0.355839	−	0.934547i	$-0.384195\pi$
$150$	3.67435	−	1.88383i	0.300009	−	0.153814i
$151$	0.634864	−	0.550112i	0.0516645	−	0.0447675i	−0.628646	−	0.777692i	$-0.716390\pi$
$151$	0.634864	−	0.550112i	0.0516645	−	0.0447675i	0.680310	+	0.732924i	$0.261845\pi$
$152$	−5.85046	+	0.226702i	−0.474535	+	0.0183879i
$153$	−7.99859	+	9.55996i	−0.646647	+	0.772877i
$154$	5.13474	+	20.0332i	0.413769	+	1.61432i
$155$	−1.69351	+	3.70826i	−0.136026	+	0.297855i
$156$	−12.4267	−	18.8902i	−0.994928	−	1.51243i
$157$	1.41793	+	3.10483i	0.113163	+	0.247792i	0.957736	−	0.287648i	$-0.0928732\pi$
$157$	1.41793	+	3.10483i	0.113163	+	0.247792i	−0.844573	+	0.535440i	$0.820146\pi$
$158$	−6.25729	−	3.12427i	−0.497803	−	0.248554i
$159$	−0.830507	+	13.2169i	−0.0658635	+	1.04817i
$160$	−1.15255	−	10.2337i	−0.0911168	−	0.809047i
$161$	−17.3141	+	8.61909i	−1.36454	+	0.679280i
$162$	1.81273	−	12.5982i	0.142422	−	0.989806i
$163$	1.85753	−	2.89038i	0.145493	−	0.226392i	−0.760857	−	0.648920i	$-0.775221\pi$
$163$	1.85753	−	2.89038i	0.145493	−	0.226392i	0.906350	+	0.422528i	$0.138857\pi$
$164$	3.10169	+	5.65314i	0.242201	+	0.441436i
$165$	6.77276	−	9.21230i	0.527259	−	0.717177i
$166$	−3.88659	−	4.81301i	−0.301658	−	0.373562i
$167$	−1.12975	+	2.47382i	−0.0874230	+	0.191430i	−0.948294	−	0.317394i	$-0.897192\pi$
$167$	−1.12975	+	2.47382i	−0.0874230	+	0.191430i	0.860871	+	0.508824i	$0.169919\pi$
$168$	8.63659	−	17.7690i	0.666327	−	1.37091i
$169$	−4.21324	+	29.3038i	−0.324096	+	2.25413i
$170$	10.1533	+	3.36794i	0.778720	+	0.258309i
$171$	0.989923	+	6.13060i	0.0757013	+	0.468819i
$172$	8.13673	−	10.9153i	0.620420	−	0.832283i
$173$	11.8473	+	18.4348i	0.900734	+	1.40157i	0.915779	+	0.401682i	$0.131574\pi$
$173$	11.8473	+	18.4348i	0.900734	+	1.40157i	−0.0150454	+	0.999887i	$0.504789\pi$
$174$	4.20106	−	2.97737i	0.318481	−	0.225714i
$175$	−1.91526	−	6.52279i	−0.144780	−	0.493077i
$176$	7.89096	+	12.1702i	0.594803	+	0.917362i
$177$	3.37735	−	16.1984i	0.253858	−	1.21755i
$178$	−3.60635	−	6.06421i	−0.270307	−	0.454532i
$179$	−8.21740	−	2.41285i	−0.614197	−	0.180345i	−0.0401863	−	0.999192i	$-0.512795\pi$
$179$	−8.21740	−	2.41285i	−0.614197	−	0.180345i	−0.574011	+	0.818848i	$0.694613\pi$
$180$	−10.6267	+	2.52755i	−0.792065	+	0.188392i
$181$	−2.05812	−	14.3146i	−0.152979	−	1.06399i	−0.911191	−	0.411984i	$-0.864836\pi$
$181$	−2.05812	−	14.3146i	−0.152979	−	1.06399i	0.758212	−	0.652008i	$-0.226073\pi$
$182$	−34.3787	+	14.2808i	−2.54832	+	1.05856i
$183$	−10.3825	+	5.78635i	−0.767496	+	0.427739i
$184$	−9.58375	+	9.59957i	−0.706524	+	0.707689i
$185$			14.5438i			1.06928i
$186$	−3.40033	+	4.30396i	−0.249325	+	0.315582i
$187$	−14.9129	+	2.14415i	−1.09054	+	0.156796i
$188$	−3.85387	+	3.86947i	−0.281072	+	0.282210i
$189$	−19.8173	−	6.81145i	−1.44149	−	0.495460i
$190$	4.58064	−	2.72408i	0.332315	−	0.197626i
$191$	−0.426916	+	0.492687i	−0.0308906	+	0.0356496i	−0.770985	−	0.636854i	$-0.780235\pi$
$191$	−0.426916	+	0.492687i	−0.0308906	+	0.0356496i	0.740094	+	0.672503i	$0.234781\pi$
$192$	1.77007	−	13.7429i	0.127744	−	0.991807i
$193$	17.3087	−	5.08229i	1.24591	−	0.365832i	0.408676	−	0.912680i	$-0.365991\pi$
$193$	17.3087	−	5.08229i	1.24591	−	0.365832i	0.837232	+	0.546848i	$0.184172\pi$
$194$	−0.0913733	−	0.841895i	−0.00656022	−	0.0604445i
$195$	18.1490	+	9.70734i	1.29967	+	0.695157i
$196$	−14.8544	−	11.0731i	−1.06103	−	0.790935i
$197$	−12.5108	+	10.8407i	−0.891357	+	0.772365i	−0.974551	−	0.224168i	$-0.928034\pi$
$197$	−12.5108	+	10.8407i	−0.891357	+	0.772365i	0.0831933	+	0.996533i	$0.473488\pi$
$198$	11.8002	−	9.87080i	0.838606	−	0.701487i
$199$	6.12318	+	0.880380i	0.434061	+	0.0624085i	0.355882	−	0.934531i	$-0.384180\pi$
$199$	6.12318	+	0.880380i	0.434061	+	0.0624085i	0.0781786	+	0.996939i	$0.475090\pi$
$200$	−2.73109	−	3.90819i	−0.193118	−	0.276351i
$201$	−19.4824	+	1.56282i	−1.37418	+	0.110232i
$202$	7.53285	−	6.08291i	0.530010	−	0.427992i
$203$	−3.52169	−	7.71142i	−0.247174	−	0.541236i
$204$	12.1905	+	7.65190i	0.853507	+	0.535740i
$205$	−4.93772	−	3.17328i	−0.344865	−	0.221631i
$206$	−8.52280	+	12.3017i	−0.593811	+	0.857097i
$207$	11.3376	+	8.85769i	0.788018	+	0.615652i
$208$	−19.6627	+	17.1774i	−1.36336	+	1.19104i
$209$	−4.05810	+	6.31452i	−0.280705	+	0.436785i
$210$	0.815382	+	17.9653i	0.0562667	+	1.23972i
$211$	12.5719	−	5.74140i	0.865487	−	0.395254i	0.0673488	−	0.997729i	$-0.478546\pi$
$211$	12.5719	−	5.74140i	0.865487	−	0.395254i	0.798138	+	0.602475i	$0.205819\pi$
$212$	15.2504	−	1.12170i	1.04740	−	0.0770387i
$213$	−0.932411	−	11.6237i	−0.0638878	−	0.796440i
$214$	17.4640	−	4.47621i	1.19381	−	0.305988i
$215$	−1.76365	+	12.2664i	−0.120280	+	0.836564i
$216$	−14.6966	−	0.0989602i	−0.999977	−	0.00673339i
$217$	5.91382	+	6.82491i	0.401456	+	0.463305i
$218$	13.5297	+	0.469533i	0.916348	+	0.0318008i
$219$	−8.31684	+	15.5493i	−0.562000	+	1.05072i
$220$	−11.6006	−	6.30404i	−0.782115	−	0.425018i
$221$	−7.64065	−	26.0217i	−0.513966	−	1.75041i
$222$	−4.65613	+	19.0065i	−0.312499	+	1.27564i
$223$	−16.4151	−	14.2238i	−1.09924	−	0.952497i	−0.100142	−	0.994973i	$-0.531930\pi$
$223$	−16.4151	−	14.2238i	−1.09924	−	0.952497i	−0.999097	+	0.0424765i	$0.986475\pi$
$224$	−21.6818	−	7.09497i	−1.44868	−	0.474053i
$225$	−3.76408	+	3.37730i	−0.250939	+	0.225153i
$226$	0.890401	+	0.159718i	0.0592286	+	0.0106243i
$227$	−0.274318	−	1.90792i	−0.0182071	−	0.126633i	0.978691	−	0.205340i	$-0.0658300\pi$
$227$	−0.274318	−	1.90792i	−0.0182071	−	0.126633i	−0.996898	+	0.0787067i	$0.974921\pi$
$228$	6.85830	−	2.09348i	0.454202	−	0.138644i
$229$	−14.0913			−0.931183			−0.465591	−	0.885000i	$-0.654158\pi$
$229$	−14.0913			−0.931183			−0.465591	+	0.885000i	$0.654158\pi$
$230$	3.49282	−	11.8430i	0.230310	−	0.780907i
$231$	−12.3305	−	22.1247i	−0.811287	−	1.45570i
$232$	−4.06468	−	4.33934i	−0.266859	−	0.284891i
$233$	13.7660	−	1.97926i	0.901842	−	0.129665i	0.324232	−	0.945978i	$-0.394894\pi$
$233$	13.7660	−	1.97926i	0.901842	−	0.129665i	0.577611	+	0.816312i	$0.303985\pi$
$234$	20.6101	+	18.4963i	1.34733	+	1.20914i
$235$	1.40053	−	4.76977i	0.0913606	−	0.311146i
$236$	−19.0606	−	1.32455i	−1.24074	−	0.0862206i
$237$	8.38543	+	1.74835i	0.544692	+	0.113568i
$238$	16.1298	−	17.3598i	1.04554	−	1.12527i
$239$	−20.7329	+	6.08773i	−1.34110	+	0.393782i	−0.872062	−	0.489396i	$-0.837217\pi$
$239$	−20.7329	+	6.08773i	−1.34110	+	0.393782i	−0.469038	+	0.883178i	$0.655399\pi$
$240$	4.55732	+	11.7608i	0.294174	+	0.759158i
$241$	0.164558	−	0.105755i	0.0106001	−	0.00681226i	−0.535330	−	0.844643i	$-0.679813\pi$
$241$	0.164558	−	0.105755i	0.0106001	−	0.00681226i	0.545930	+	0.837831i	$0.316176\pi$
$242$	3.03701	+	0.105396i	0.195226	+	0.00677510i
$243$	1.78295	+	15.4862i	0.114376	+	0.993437i
$244$	8.24715	+	10.9706i	0.527970	+	0.702323i
$245$	16.6931	+	2.40011i	1.06648	+	0.153337i
$246$	−5.43693	−	5.72777i	−0.346646	−	0.365190i
$247$	−12.2904	−	5.61286i	−0.782022	−	0.357137i
$248$	5.45680	+	3.21535i	0.346507	+	0.204175i
$249$	6.10446	+	4.48792i	0.386855	+	0.284410i
$250$	15.4001	+	7.68931i	0.973989	+	0.486314i
$251$	−0.958869	−	0.616228i	−0.0605233	−	0.0388960i	0.510029	−	0.860157i	$-0.329635\pi$
$251$	−0.958869	−	0.616228i	−0.0605233	−	0.0388960i	−0.570553	+	0.821261i	$0.693271\pi$
$252$	−4.68592	+	23.7389i	−0.295185	+	1.49541i
$253$	3.04994	+	17.1207i	0.191748	+	1.07637i
$254$	−0.322141	+	0.464974i	−0.0202129	+	0.0291750i
$255$	−13.0756	−	0.821633i	−0.818829	−	0.0514526i
$256$	−15.9995	+	0.129281i	−0.999967	+	0.00808007i
$257$	−0.994009	+	0.453949i	−0.0620046	+	0.0283166i	−0.446176	−	0.894945i	$-0.647214\pi$
$257$	−0.994009	+	0.453949i	−0.0620046	+	0.0283166i	0.384171	+	0.923262i	$0.374487\pi$
$258$	−6.23185	+	15.4657i	−0.387978	+	0.962854i
$259$	29.3061	+	13.3837i	1.82099	+	0.831620i
$260$	8.26037	−	22.2843i	0.512286	−	1.38201i
$261$	−4.04678	+	4.83674i	−0.250489	+	0.299386i
$262$	5.13200	+	1.70234i	0.317056	+	0.105171i
$263$	6.28905	+	7.25795i	0.387799	+	0.447544i	0.915761	−	0.401724i	$-0.131589\pi$
$263$	6.28905	+	7.25795i	0.387799	+	0.447544i	−0.527961	+	0.849268i	$0.677043\pi$
$264$	−13.1420	−	11.9523i	−0.808837	−	0.735613i
$265$	−11.7097	+	7.52537i	−0.719322	+	0.462280i
$266$	−1.27384	−	11.7369i	−0.0781041	−	0.719635i
$267$	6.16286	+	6.05721i	0.377161	+	0.370695i
$268$	4.84184	+	22.0431i	0.295763	+	1.34650i
$269$	23.7007	+	20.5367i	1.44506	+	1.25215i	0.914554	+	0.404463i	$0.132542\pi$
$269$	23.7007	+	20.5367i	1.44506	+	1.25215i	0.530501	+	0.847684i	$0.322004\pi$
$270$	11.7973	−	6.30839i	0.717960	−	0.383916i
$271$	0.0163598	−	0.0557165i	0.000993790	−	0.00338454i	−0.958995	−	0.283424i	$-0.908530\pi$
$271$	0.0163598	−	0.0557165i	0.000993790	−	0.00338454i	0.959988	+	0.280040i	$0.0903477\pi$
$272$	6.84293	−	15.1456i	0.414914	−	0.918335i
$273$	36.2618	−	27.6376i	2.19466	−	1.67270i
$274$	−1.81674	+	0.754669i	−0.109753	+	0.0455912i
$275$	−6.11258			−0.368603
$276$	8.35607	−	14.3588i	0.502976	−	0.864300i
$277$	8.15385			0.489917			0.244959	−	0.969534i	$-0.421226\pi$
$277$	8.15385			0.489917			0.244959	+	0.969534i	$0.421226\pi$
$278$	15.3862	−	6.39138i	0.922802	−	0.383330i
$279$	2.68462	−	6.15811i	0.160724	−	0.368676i
$280$	20.4247	−	3.74895i	1.22061	−	0.224043i
$281$	2.68599	−	9.14764i	0.160233	−	0.545703i	−0.839763	−	0.542952i	$-0.817306\pi$
$281$	2.68599	−	9.14764i	0.160233	−	0.545703i	0.999996	−	0.00275018i	$-0.000875410\pi$
$282$	3.35730	−	5.78499i	0.199924	−	0.344491i
$283$	8.34926	+	7.23467i	0.496312	+	0.430057i	0.866707	−	0.498818i	$-0.166232\pi$
$283$	8.34926	+	7.23467i	0.496312	+	0.430057i	−0.370395	+	0.928874i	$0.620778\pi$
$284$	−13.1514	+	2.88875i	−0.780394	+	0.171416i
$285$	−4.57535	+	4.65516i	−0.271021	+	0.275748i
$286$	3.61166	+	33.2771i	0.213562	+	1.96772i
$287$	−10.9381	+	7.02947i	−0.645654	+	0.414937i
$288$	2.19055	+	16.8286i	0.129080	+	0.991634i
$289$	0.172468	+	0.199039i	0.0101452	+	0.0117082i
$290$	5.13691	+	1.70397i	0.301649	+	0.100060i
$291$	0.370839	+	0.968598i	0.0217389	+	0.0567802i
$292$	19.0922	+	7.07713i	1.11729	+	0.414158i
$293$	−6.05577	−	2.76558i	−0.353782	−	0.161567i	0.230594	−	0.973050i	$-0.425933\pi$
$293$	−6.05577	−	2.76558i	−0.353782	−	0.161567i	−0.584375	+	0.811483i	$0.698660\pi$
$294$	21.0470	+	8.48079i	1.22748	+	0.494610i
$295$	15.8203	−	7.22488i	0.921092	−	0.420649i
$296$	22.4736	+	2.34730i	1.30625	+	0.136434i
$297$	−10.8966	+	15.3715i	−0.632282	+	0.891943i
$298$	11.6755	−	16.8522i	0.676341	−	0.976219i
$299$	−29.7234	+	9.82013i	−1.71895	+	0.567913i
$300$	4.45370	+	3.77675i	0.257135	+	0.218051i
$301$	23.0942	+	14.8417i	1.33113	+	0.855464i
$302$	1.06288	+	0.530697i	0.0611618	+	0.0305382i
$303$	−7.02406	+	9.55412i	−0.403522	+	0.548870i
$304$	−3.47004	−	7.51781i	−0.199021	−	0.431176i
$305$	−11.3642	−	5.18984i	−0.650710	−	0.297170i
$306$	−16.8248	−	5.25985i	−0.961811	−	0.300686i
$307$	−16.7177	−	2.40364i	−0.954129	−	0.137183i	−0.352370	−	0.935861i	$-0.614624\pi$
$307$	−16.7177	−	2.40364i	−0.954129	−	0.137183i	−0.601759	+	0.798678i	$0.705533\pi$
$308$	−23.3780	+	17.5744i	−1.33209	+	1.00139i
$309$	6.25663	−	17.2281i	0.355927	−	0.980073i
$310$	−5.76180	−	0.199956i	−0.327248	−	0.0113568i
$311$	15.6318	−	10.0460i	0.886400	−	0.569655i	−0.0163279	−	0.999867i	$-0.505198\pi$
$311$	15.6318	−	10.0460i	0.886400	−	0.569655i	0.902728	+	0.430212i	$0.141561\pi$
$312$	17.9292	−	26.4776i	1.01504	−	1.49900i
$313$	−22.1469	+	6.50290i	−1.25181	+	0.367566i	−0.839442	−	0.543450i	$-0.817118\pi$
$313$	−22.1469	+	6.50290i	−1.25181	+	0.367566i	−0.412372	+	0.911015i	$0.635300\pi$
$314$	−3.28570	+	3.53625i	−0.185423	+	0.199562i
$315$	−6.56978	−	21.0229i	−0.370165	−	1.18451i
$316$	0.685677	−	9.86708i	0.0385723	−	0.555067i
$317$	−7.75606	+	26.4147i	−0.435624	+	1.48360i	0.390761	+	0.920492i	$0.372212\pi$
$317$	−7.75606	+	26.4147i	−0.435624	+	1.48360i	−0.826385	+	0.563106i	$0.809606\pi$
$318$	−17.7120	+	6.08570i	−0.993240	+	0.341269i
$319$	−7.54499	+	1.08481i	−0.422438	+	0.0607374i
$320$	12.7401	−	7.05720i	0.712195	−	0.394509i
$321$	−19.2872	+	10.7491i	−1.07651	+	0.599958i
$322$	−20.6498	−	17.9364i	−1.15077	−	0.999559i
$323$	8.60070			0.478556
$324$	17.4368	−	4.46725i	0.968714	−	0.248180i
$325$	−1.56590	−	10.8910i	−0.0868603	−	0.604126i
$326$	4.78262	+	0.857892i	0.264885	+	0.0475142i
$327$	−16.1704	+	3.66436i	−0.894227	+	0.202639i
$328$	−5.70037	+	7.11777i	−0.314750	+	0.393013i
$329$	−8.32240	−	7.21140i	−0.458829	−	0.397577i
$330$	15.7057	+	3.84752i	0.864572	+	0.211799i
$331$	4.49520	+	15.3092i	0.247078	+	0.841471i	0.985866	+	0.167534i	$0.0535803\pi$
$331$	4.49520	+	15.3092i	0.247078	+	0.841471i	−0.738788	+	0.673938i	$0.764602\pi$
$332$	4.17733	−	7.68708i	0.229261	−	0.421883i
$333$	−0.414382	−	23.9629i	−0.0227080	−	1.31316i
$334$	−3.84375	−	0.133393i	−0.210321	−	0.00729893i
$335$	−13.4530	−	15.5256i	−0.735016	−	0.848254i
$336$	27.8921	+	1.63955i	1.52164	+	0.0894448i
$337$	−2.82983	+	19.6819i	−0.154151	+	1.07214i	0.755015	+	0.655708i	$0.227630\pi$
$337$	−2.82983	+	19.6819i	−0.154151	+	1.07214i	−0.909166	+	0.416435i	$0.863279\pi$
$338$	−40.5569	+	10.3952i	−2.20601	+	0.565423i
$339$	−1.10437	+	0.0885891i	−0.0599813	+	0.00481150i
$340$	1.10972	+	15.0875i	0.0601828	+	0.818233i
$341$	7.38614	−	3.37314i	0.399982	−	0.182666i
$342$	−7.46961	+	4.61880i	−0.403910	+	0.249756i
$343$	4.93560	−	7.67995i	0.266497	−	0.414678i
$344$	18.6698	+	4.70498i	1.00661	+	0.253676i
$345$	−0.442420	+	15.1159i	−0.0238191	+	0.813813i
$346$	−17.6487	+	25.4739i	−0.948802	+	1.36949i
$347$	24.3373	+	15.6407i	1.30650	+	0.839635i	0.993904	−	0.110252i	$-0.0351659\pi$
$347$	24.3373	+	15.6407i	1.30650	+	0.839635i	0.312594	+	0.949887i	$0.398802\pi$
$348$	6.16763	+	3.87138i	0.330620	+	0.207528i
$349$	−6.83549	−	14.9676i	−0.365895	−	0.801199i	−0.999618	−	0.0276387i	$-0.991201\pi$
$349$	−6.83549	−	14.9676i	−0.365895	−	0.801199i	0.633723	−	0.773560i	$-0.281526\pi$
$350$	7.47981	−	6.04008i	0.399813	−	0.322856i
$351$	−30.1794	−	15.4771i	−1.61086	−	0.826104i
$352$	−11.6135	+	16.9082i	−0.619001	+	0.901211i
$353$	12.3732	+	1.77900i	0.658561	+	0.0946867i	0.463490	−	0.886102i	$-0.346597\pi$
$353$	12.3732	+	1.77900i	0.658561	+	0.0946867i	0.195071	+	0.980789i	$0.437506\pi$
$354$	22.9877	−	4.37702i	1.22178	−	0.232636i
$355$	9.26293	−	8.02637i	0.491625	−	0.425996i
$356$	5.96345	−	7.99988i	0.316062	−	0.423993i
$357$	−13.6882	+	25.5916i	−0.724457	+	1.35445i
$358$	−1.30685	−	12.0411i	−0.0690692	−	0.636390i
$359$	3.73869	−	1.09778i	0.197321	−	0.0579386i	−0.181579	−	0.983376i	$-0.558121\pi$
$359$	3.73869	−	1.09778i	0.197321	−	0.0579386i	0.378900	+	0.925438i	$0.376303\pi$
$360$	−9.06615	−	12.5074i	−0.477828	−	0.659196i
$361$	−9.63633	+	11.1209i	−0.507175	+	0.585312i
$362$	17.5785	−	10.4538i	0.923904	−	0.549440i
$363$	−3.62977	+	0.822537i	−0.190514	+	0.0431720i
$364$	−37.3019	−	37.1515i	−1.95515	−	1.94727i
$365$	−18.3458	+	2.63773i	−0.960263	+	0.138065i
$366$	−13.1897	−	10.4205i	−0.689438	−	0.544689i
$367$		−	24.3043i		−	1.26867i	−0.773056	−	0.634337i	$-0.781273\pi$
$367$		−	24.3043i		−	1.26867i	0.773056	−	0.634337i	$-0.218727\pi$
$368$	−17.7365	−	7.30862i	−0.924580	−	0.380988i
$369$	8.22597	+	5.08772i	0.428227	+	0.264856i
$370$	−18.9945	+	7.89025i	−0.987475	+	0.410194i
$371$	4.38817	+	30.5204i	0.227823	+	1.58454i
$372$	−7.46577	−	2.10592i	−0.387082	−	0.109187i
$373$	23.5823	+	6.92439i	1.22105	+	0.358531i	0.827864	−	0.560929i	$-0.189556\pi$
$373$	23.5823	+	6.92439i	1.22105	+	0.358531i	0.393182	+	0.919461i	$0.371374\pi$
$374$	−10.8908	−	18.3133i	−0.563149	−	0.946956i
$375$	−20.6378	−	4.30295i	−1.06573	−	0.222204i
$376$	−7.14437	−	2.93396i	−0.368443	−	0.151308i
$377$	−3.86569	−	13.1653i	−0.199093	−	0.678048i
$378$	−1.85532	−	29.5770i	−0.0954273	−	1.52128i
$379$	−4.70308	−	7.31813i	−0.241581	−	0.375907i	0.699198	−	0.714928i	$-0.253541\pi$
$379$	−4.70308	−	7.31813i	−0.241581	−	0.375907i	−0.940779	+	0.339021i	$0.889904\pi$
$380$	6.04276	+	4.50454i	0.309987	+	0.231078i
$381$	0.236486	−	0.651182i	0.0121155	−	0.0333611i
$382$	−0.875066	−	0.290268i	−0.0447723	−	0.0148514i
$383$	1.10471	−	7.68340i	0.0564478	−	0.392603i	−0.941937	−	0.335790i	$-0.890997\pi$
$383$	1.10471	−	7.68340i	0.0564478	−	0.392603i	0.998385	−	0.0568136i	$-0.0180941\pi$
$384$	18.9087	−	5.14398i	0.964931	−	0.262503i
$385$	11.0594	−	24.2166i	0.563638	−	1.23419i
$386$	16.0278	+	19.8482i	0.815793	+	1.01025i
$387$	2.55635	−	20.2609i	0.129947	−	1.02992i
$388$	1.04996	−	0.576076i	0.0533035	−	0.0292458i
$389$	−9.41977	+	14.6574i	−0.477601	+	0.743162i	−0.993542	−	0.113462i	$-0.963806\pi$
$389$	−9.41977	+	14.6574i	−0.477601	+	0.743162i	0.515941	+	0.856624i	$0.327442\pi$
$390$	−2.83185	+	28.9692i	−0.143396	+	1.46691i
$391$	14.6139	−	13.5459i	0.739055	−	0.685047i
$392$	6.40290	−	25.4074i	0.323395	−	1.28327i
$393$	−6.60913	−	0.415297i	−0.333386	−	0.0209490i
$394$	−20.9454	−	10.4581i	−1.05521	−	0.526870i
$395$	3.74009	+	8.18966i	0.188185	+	0.412067i
$396$	19.2932	+	10.0562i	0.969521	+	0.505344i
$397$	10.7406	−	23.5187i	0.539058	−	1.18037i	−0.422650	−	0.906293i	$-0.638900\pi$
$397$	10.7406	−	23.5187i	0.539058	−	1.18037i	0.961707	−	0.274078i	$-0.0883728\pi$
$398$	2.17213	+	8.47459i	0.108879	+	0.424793i
$399$	5.16987	+	13.5033i	0.258817	+	0.676009i
$400$	3.62250	−	5.68711i	0.181125	−	0.284355i
$401$	14.1734	−	12.2813i	0.707785	−	0.613299i	−0.224734	−	0.974420i	$-0.572151\pi$
$401$	14.1734	−	12.2813i	0.707785	−	0.613299i	0.932519	+	0.361121i	$0.117606\pi$
$402$	−12.6106	−	24.5965i	−0.628958	−	1.22676i
$403$	7.90221	+	12.2961i	0.393637	+	0.612511i
$404$	12.0311	+	6.53795i	0.598568	+	0.325275i
$405$	−12.0043	+	11.1514i	−0.596500	+	0.554118i
$406$	8.16067	−	8.78294i	0.405007	−	0.435890i
$407$	18.9703	−	21.8929i	0.940324	−	1.08519i
$408$	−3.37995	+	20.0723i	−0.167333	+	0.993726i
$409$	38.0316	+	11.1671i	1.88054	+	0.552177i	0.996382	+	0.0849902i	$0.0270859\pi$
$409$	38.0316	+	11.1671i	1.88054	+	0.552177i	0.884159	+	0.467186i	$0.154732\pi$
$410$	1.46556	−	8.17029i	0.0723790	−	0.403502i
$411$	1.91625	−	1.46051i	0.0945218	−	0.0720416i
$412$	−20.6899	−	4.45706i	−1.01932	−	0.219584i
$413$		−	38.5268i		−	1.89578i
$414$	−5.41746	+	19.6125i	−0.266253	+	0.963903i
$415$			7.96367i			0.390921i
$416$	−33.1012	−	16.3607i	−1.62292	−	0.802152i
$417$	−16.2290	+	12.3692i	−0.794736	+	0.605723i
$418$	−10.4484	−	1.87421i	−0.511050	−	0.0916707i
$419$	−35.5278	−	10.4319i	−1.73565	−	0.509632i	−0.747647	−	0.664096i	$-0.768817\pi$
$419$	−35.5278	−	10.4319i	−1.73565	−	0.509632i	−0.987998	+	0.154465i	$0.950635\pi$
$420$	−23.0206	+	10.8113i	−1.12329	+	0.527540i
$421$	−0.415510	+	0.479525i	−0.0202507	+	0.0233706i	−0.765785	−	0.643097i	$-0.777649\pi$
$421$	−0.415510	+	0.479525i	−0.0202507	+	0.0233706i	0.745534	+	0.666468i	$0.232195\pi$
$422$	14.3188	+	13.3043i	0.697029	+	0.647644i
$423$	−2.17166	+	7.89875i	−0.105590	+	0.384050i
$424$	9.73855	+	19.3088i	0.472946	+	0.937716i
$425$	3.78664	+	5.89212i	0.183679	+	0.285810i
$426$	14.6748	−	7.52376i	0.710998	−	0.364527i
$427$	−20.9153	+	18.1232i	−1.01216	+	0.877044i
$428$	15.3205	+	20.3798i	0.740544	+	0.985097i
$429$	−14.6579	−	38.2853i	−0.707692	−	1.84843i
$430$	−16.9770	+	4.35138i	−0.818702	+	0.209842i
$431$	10.3078	−	22.5710i	0.496511	−	1.08721i	−0.481077	−	0.876678i	$-0.659754\pi$
$431$	10.3078	−	22.5710i	0.496511	−	1.08721i	0.977588	−	0.210529i	$-0.0675185\pi$
$432$	−7.84389	−	19.2477i	−0.377389	−	0.926055i
$433$	4.76902	+	10.4427i	0.229185	+	0.501844i	0.988931	−	0.148375i	$-0.0474043\pi$
$433$	4.76902	+	10.4427i	0.229185	+	0.501844i	−0.759747	+	0.650219i	$0.774677\pi$
$434$	−5.70510	+	11.4262i	−0.273854	+	0.548473i
$435$	−6.61545	−	0.415694i	−0.317186	−	0.0199310i
$436$	6.72686	+	17.9247i	0.322158	+	0.858439i
$437$	−0.332447	−	9.92182i	−0.0159031	−	0.474625i
$438$	−24.8196	−	2.42621i	−1.18593	−	0.115929i
$439$	−3.10757	+	4.83548i	−0.148316	+	0.230785i	−0.907460	−	0.420138i	$-0.861982\pi$
$439$	−3.10757	+	4.83548i	−0.148316	+	0.230785i	0.759144	+	0.650923i	$0.225618\pi$
$440$	1.93965	−	18.5707i	0.0924692	−	0.885321i
$441$	−27.5725	−	3.47888i	−1.31298	−	0.165661i
$442$	29.8395	−	24.0960i	1.41932	−	1.14613i
$443$	1.93314	−	4.23299i	0.0918464	−	0.201115i	−0.858134	−	0.513427i	$-0.828376\pi$
$443$	1.93314	−	4.23299i	0.0918464	−	0.201115i	0.949980	+	0.312311i	$0.101103\pi$
$444$	−27.3489	+	4.23036i	−1.29792	+	0.200764i
$445$	−1.29259	+	8.99014i	−0.0612745	+	0.426174i
$446$	9.67104	−	29.1551i	0.457937	−	1.38053i
$447$	−8.57101	+	23.6009i	−0.405395	+	1.11629i
$448$	−2.49656	−	32.1659i	−0.117952	−	1.51970i
$449$	0.309849	+	0.482135i	0.0146227	+	0.0227533i	0.848488	−	0.529215i	$-0.177513\pi$
$449$	0.309849	+	0.482135i	0.0146227	+	0.0227533i	−0.833865	+	0.551968i	$0.813877\pi$
$450$	−6.45287	−	3.08372i	−0.304191	−	0.145368i
$451$	3.29370	+	11.2173i	0.155094	+	0.528202i
$452$	0.274463	+	1.24953i	0.0129096	+	0.0587728i
$453$	−1.42437	−	0.296979i	−0.0669227	−	0.0139533i
$454$	2.34296	−	1.39334i	0.109960	−	0.0653927i
$455$	45.9809	+	13.5012i	2.15562	+	0.632947i
$456$	6.45486	+	7.82130i	0.302276	+	0.366266i
$457$	−3.15264	−	21.9271i	−0.147474	−	1.02571i	−0.920335	−	0.391131i	$-0.872084\pi$
$457$	−3.15264	−	21.9271i	−0.147474	−	1.02571i	0.772861	−	0.634575i	$-0.218825\pi$
$458$	−7.64478	−	18.4035i	−0.357217	−	0.859940i
$459$	21.5673	+	0.981199i	1.00668	+	0.0457984i
$460$	17.3621	−	1.86336i	0.809513	−	0.0868796i
$461$			21.4765i			1.00026i	0.865950	+	0.500131i	$0.166715\pi$
$461$			21.4765i			1.00026i	−0.865950	+	0.500131i	$0.833285\pi$
$462$	22.2057	−	28.1068i	1.03310	−	1.30765i
$463$	40.0075	−	5.75221i	1.85930	−	0.267328i	0.880790	−	0.473507i	$-0.157012\pi$
$463$	40.0075	−	5.75221i	1.85930	−	0.267328i	0.978514	+	0.206179i	$0.0661029\pi$
$464$	3.46209	−	7.66270i	0.160723	−	0.355732i
$465$	6.88638	−	1.56051i	0.319348	−	0.0723671i
$466$	10.0532	+	16.9049i	0.465707	+	0.783103i
$467$	1.41547	−	1.63354i	0.0655002	−	0.0755913i	−0.722054	−	0.691837i	$-0.756802\pi$
$467$	1.41547	−	1.63354i	0.0655002	−	0.0755913i	0.787554	+	0.616246i	$0.211347\pi$
$468$	−12.9751	+	36.9517i	−0.599776	+	1.70809i
$469$	−43.6643	+	12.8210i	−2.01623	+	0.592019i
$470$	6.98921	−	0.758560i	0.322388	−	0.0349897i
$471$	2.78834	−	5.21311i	0.128480	−	0.240208i
$472$	−8.61079	−	25.6120i	−0.396344	−	1.17889i
$473$	18.6546	−	16.1643i	0.857741	−	0.743237i
$474$	2.26585	+	11.9000i	0.104074	+	0.546585i
$475$	3.45390	+	0.496596i	0.158476	+	0.0227854i
$476$	31.4228	+	11.6479i	1.44026	+	0.533878i
$477$	19.0789	−	12.7327i	0.873563	−	0.582990i
$478$	−19.1986	−	23.7748i	−0.878123	−	1.08743i
$479$	3.63321	+	7.95563i	0.166006	+	0.363502i	0.974292	−	0.225287i	$-0.0723321\pi$
$479$	3.63321	+	7.95563i	0.166006	+	0.363502i	−0.808287	+	0.588789i	$0.799605\pi$
$480$	−12.8874	+	12.3324i	−0.588227	+	0.562893i
$481$	43.8673	+	28.1918i	2.00018	+	1.28543i
$482$	0.227392	+	0.157541i	0.0103574	+	0.00717580i
$483$	30.0518	+	14.8016i	1.36740	+	0.673496i
$484$	1.50998	+	4.02356i	0.0686353	+	0.182889i
$485$	−0.589373	+	0.917082i	−0.0267620	+	0.0416425i
$486$	−19.2579	+	10.7300i	−0.873555	+	0.486725i
$487$	−23.2726	+	10.6283i	−1.05458	+	0.481613i	−0.865792	−	0.500404i	$-0.833185\pi$
$487$	−23.2726	+	10.6283i	−1.05458	+	0.481613i	−0.188793	+	0.982017i	$0.560457\pi$
$488$	−9.85362	+	16.7227i	−0.446053	+	0.756999i
$489$	−5.93192	+	0.475839i	−0.268251	+	0.0215182i
$490$	5.92170	+	23.1036i	0.267515	+	1.04371i
$491$	−2.88931	+	20.0956i	−0.130393	+	0.906901i	0.814650	+	0.579953i	$0.196929\pi$
$491$	−2.88931	+	20.0956i	−0.130393	+	0.906901i	−0.945043	+	0.326948i	$0.893980\pi$
$492$	4.53094	−	10.2081i	0.204271	−	0.460218i
$493$	5.71966	+	6.60084i	0.257601	+	0.297287i
$494$	0.662724	−	19.0966i	0.0298174	−	0.859195i
$495$	−19.8013	+	0.342418i	−0.890004	+	0.0153905i
$496$	−1.23890	+	8.87104i	−0.0556284	+	0.398321i
$497$	−7.64930	−	26.0511i	−0.343118	−	1.16855i
$498$	−2.54953	+	10.4073i	−0.114247	+	0.466362i
$499$	−23.1199	−	20.0335i	−1.03499	−	0.896822i	−0.0402415	−	0.999190i	$-0.512813\pi$
$499$	−23.1199	−	20.0335i	−1.03499	−	0.896822i	−0.994747	+	0.102368i	$0.967358\pi$
$500$	−1.68755	+	24.2844i	−0.0754696	+	1.08603i
$501$	4.59397	−	1.04103i	0.205244	−	0.0465099i
$502$	0.284602	−	1.58661i	0.0127024	−	0.0708139i
$503$	−3.37533	−	23.4759i	−0.150498	−	1.04674i	−0.915387	−	0.402576i	$-0.868115\pi$
$503$	−3.37533	−	23.4759i	−0.150498	−	1.04674i	0.764888	−	0.644163i	$-0.222794\pi$
$504$	−33.5456	+	6.75884i	−1.49424	+	0.301063i
$505$	−12.4640			−0.554639
$506$	−20.7053	+	13.2715i	−0.920464	+	0.589992i
$507$	44.7911	−	24.9629i	1.98924	−	1.10864i
$508$	−0.782029	−	0.168466i	−0.0346969	−	0.00747448i
$509$	25.2559	−	3.63125i	1.11945	−	0.160953i	0.442349	−	0.896843i	$-0.354145\pi$
$509$	25.2559	−	3.63125i	1.11945	−	0.160953i	0.677101	+	0.735891i	$0.263236\pi$
$510$	−6.02068	−	17.5227i	−0.266600	−	0.775920i
$511$	−11.5673	+	39.3945i	−0.511706	+	1.74271i
$512$	−8.84881	−	20.8254i	−0.391066	−	0.920363i
$513$	7.40588	−	7.80036i	0.326977	−	0.344394i
$514$	−1.13213	−	1.05192i	−0.0499361	−	0.0463981i
$515$	18.4849	−	5.42764i	0.814540	−	0.239171i
$516$	−23.5794	+	0.251495i	−1.03802	+	0.0110715i
$517$	−8.32972	+	5.35318i	−0.366341	+	0.235433i
$518$	−1.58024	+	45.5351i	−0.0694319	+	2.00070i
$519$	12.9560	−	35.6755i	0.568707	−	1.56598i
$520$	33.5850	−	1.30140i	1.47280	−	0.0570700i
$521$	18.1046	+	2.60304i	0.793175	+	0.114041i	0.526980	−	0.849878i	$-0.323324\pi$
$521$	18.1046	+	2.60304i	0.793175	+	0.114041i	0.266195	+	0.963919i	$0.414233\pi$
$522$	−8.51229	−	2.66115i	−0.372573	−	0.116475i
$523$	−13.2522	−	6.05207i	−0.579478	−	0.264639i	0.104039	−	0.994573i	$-0.466823\pi$
$523$	−13.2522	−	6.05207i	−0.579478	−	0.264639i	−0.683517	+	0.729934i	$0.739551\pi$
$524$	0.560909	+	7.62602i	0.0245034	+	0.333144i
$525$	−6.97460	+	9.48684i	−0.304396	+	0.414040i
$526$	−6.06709	+	12.1511i	−0.264538	+	0.529815i
$527$	−7.82706	−	5.03015i	−0.340952	−	0.219117i
$528$	8.48013	−	23.6480i	0.369050	−	1.02915i
$529$	−16.1916	−	16.3350i	−0.703981	−	0.710219i
$530$	−16.1810	−	11.2104i	−0.702856	−	0.486950i
$531$	−25.8602	+	12.3547i	−1.12224	+	0.536149i
$532$	14.6375	−	8.03110i	0.634615	−	0.348192i
$533$	−19.1426	+	8.74212i	−0.829157	+	0.378663i
$534$	−4.56736	+	11.3349i	−0.197649	+	0.490510i
$535$	−21.1109	−	9.64102i	−0.912703	−	0.416818i
$536$	−26.1619	+	18.2823i	−1.13002	+	0.789673i
$537$	5.30386	+	13.8532i	0.228878	+	0.597810i
$538$	−13.9633	+	42.0949i	−0.602002	+	1.81484i
$539$	−21.9977	−	25.3867i	−0.947507	−	1.09348i
$540$	14.6391	+	11.9851i	0.629965	+	0.515755i
$541$	−7.42301	+	4.77048i	−0.319140	+	0.205099i	−0.690396	−	0.723432i	$-0.742564\pi$
$541$	−7.42301	+	4.77048i	−0.319140	+	0.205099i	0.371256	+	0.928531i	$0.378927\pi$
$542$	0.0816421	−	0.00886086i	0.00350683	−	0.000380607i
$543$	−17.5582	+	17.8644i	−0.753493	+	0.766636i
$544$	23.4927	+	0.720274i	1.00724	+	0.0308815i
$545$	−13.1707	−	11.4125i	−0.564170	−	0.488856i
$546$	55.7677	+	32.3646i	2.38664	+	1.38508i
$547$	8.32500	−	28.3523i	0.355951	−	1.21226i	−0.565822	−	0.824528i	$-0.691441\pi$
$547$	8.32500	−	28.3523i	0.355951	−	1.21226i	0.921773	−	0.387731i	$-0.126741\pi$
$548$	−1.97122	−	1.96327i	−0.0842064	−	0.0838668i
$549$	18.8719	+	8.22717i	0.805432	+	0.351127i
$550$	−3.31617	−	7.98313i	−0.141402	−	0.340402i
$551$	4.35141			0.185376
$552$	23.2862	+	3.12327i	0.991125	+	0.132935i
$553$	19.9441			0.848110
$554$	4.42359	+	10.6491i	0.187940	+	0.452435i
$555$	20.0349	−	15.2700i	0.850433	−	0.648174i
$556$	16.6945	+	16.6272i	0.708004	+	0.705149i
$557$	8.80063	−	29.9722i	0.372895	−	1.26996i	−0.532876	−	0.846193i	$-0.678889\pi$
$557$	8.80063	−	29.9722i	0.372895	−	1.26996i	0.905770	−	0.423769i	$-0.139293\pi$
$558$	9.49903	+	0.165290i	0.402126	+	0.00699728i
$559$	33.5795	+	29.0968i	1.42026	+	1.23067i
$560$	15.9769	+	24.6411i	0.675147	+	1.04128i
$561$	18.6112	+	18.2921i	0.785764	+	0.772294i
$562$	13.4042	−	1.45479i	0.565420	−	0.0613667i
$563$	9.76083	−	6.27290i	0.411370	−	0.264371i	−0.318547	−	0.947907i	$-0.603195\pi$
$563$	9.76083	−	6.27290i	0.411370	−	0.264371i	0.729917	+	0.683536i	$0.239559\pi$
$564$	9.37667	+	1.24624i	0.394829	+	0.0524762i
$565$	−0.762592	−	0.880078i	−0.0320825	−	0.0370252i
$566$	−4.91899	+	14.8292i	−0.206761	+	0.623317i
$567$	11.4236	+	34.4509i	0.479745	+	1.44680i
$568$	−10.9076	−	15.6088i	−0.457673	−	0.654930i
$569$	−17.0131	−	7.76962i	−0.713226	−	0.325719i	0.0255471	−	0.999674i	$-0.491867\pi$
$569$	−17.0131	−	7.76962i	−0.713226	−	0.325719i	−0.738773	+	0.673954i	$0.764594\pi$
$570$	−8.56191	−	3.44999i	−0.358619	−	0.144504i
$571$	11.7268	−	5.35546i	0.490753	−	0.224119i	−0.154639	−	0.987971i	$-0.549421\pi$
$571$	11.7268	−	5.35546i	0.490753	−	0.224119i	0.645392	+	0.763852i	$0.276694\pi$
$572$	−41.5010	+	22.7702i	−1.73525	+	0.952071i
$573$	1.12693	+	0.0708130i	0.0470783	+	0.00295826i
$574$	−15.1147	−	10.4717i	−0.630874	−	0.437080i
$575$	6.65082	−	4.59604i	0.277358	−	0.191668i
$576$	−20.7900	+	11.9907i	−0.866250	+	0.499611i
$577$	−12.3058	−	7.90845i	−0.512296	−	0.329233i	0.258822	−	0.965925i	$-0.416666\pi$
$577$	−12.3058	−	7.90845i	−0.512296	−	0.329233i	−0.771118	+	0.636692i	$0.780302\pi$
$578$	−0.166381	+	0.333228i	−0.00692055	+	0.0138605i
$579$	−25.1740	−	18.5076i	−1.04620	−	0.769150i
$580$	0.561446	+	7.63331i	0.0233128	+	0.316956i
$581$	16.0470	+	7.32841i	0.665741	+	0.304034i
$582$	−1.06382	+	1.00980i	−0.0440967	+	0.0418576i
$583$	27.4425	+	3.94563i	1.13655	+	0.163411i
$584$	1.11498	+	28.7742i	0.0461383	+	1.19069i
$585$	−5.68273	−	35.1932i	−0.234952	−	1.45506i
$586$	0.326538	−	9.40930i	0.0134892	−	0.388694i
$587$	−3.44004	+	2.21078i	−0.141986	+	0.0912486i	−0.609705	−	0.792628i	$-0.708712\pi$
$587$	−3.44004	+	2.21078i	−0.141986	+	0.0912486i	0.467719	+	0.883877i	$0.345076\pi$
$588$	0.342254	+	32.0886i	0.0141143	+	1.32331i
$589$	−4.44756	+	1.30592i	−0.183258	+	0.0538095i
$590$	18.0185	+	16.7419i	0.741812	+	0.689254i
$591$	28.0690	+	5.85236i	1.15461	+	0.240734i
$592$	9.12665	+	30.6243i	0.375103	+	1.25865i
$593$	5.30628	−	18.0715i	0.217903	−	0.742108i	−0.775891	−	0.630867i	$-0.782699\pi$
$593$	5.30628	−	18.0715i	0.217903	−	0.742108i	0.993793	−	0.111241i	$-0.0354826\pi$
$594$	−25.9869	−	5.89181i	−1.06626	−	0.241744i
$595$	−30.1943	+	4.34128i	−1.23785	+	0.177975i
$596$	28.3433	+	6.10577i	1.16099	+	0.250102i
$597$	−5.21613	−	9.35934i	−0.213482	−	0.383052i
$598$	−28.9507	−	33.4917i	−1.18388	−	1.36958i
$599$	−10.5916			−0.432761			−0.216380	−	0.976309i	$-0.569425\pi$
$599$	−10.5916			−0.432761			−0.216380	+	0.976309i	$0.569425\pi$
$600$	−2.51629	+	7.86555i	−0.102727	+	0.321110i
$601$	1.50312	+	10.4544i	0.0613134	+	0.426444i	0.997240	+	0.0742484i	$0.0236558\pi$
$601$	1.50312	+	10.4544i	0.0613134	+	0.426444i	−0.935926	+	0.352196i	$0.885435\pi$
$602$	−6.85458	+	38.2133i	−0.279372	+	1.55746i
$603$	22.6080	+	25.1972i	0.920669	+	1.02611i
$604$	−0.116471	+	1.67605i	−0.00473913	+	0.0681974i
$605$	−2.95642	−	2.56175i	−0.120196	−	0.104150i
$606$	−16.2885	−	3.99028i	−0.661675	−	0.162094i
$607$	1.04573	+	3.56144i	0.0424450	+	0.144554i	0.977989	−	0.208655i	$-0.0669086\pi$
$607$	1.04573	+	3.56144i	0.0424450	+	0.144554i	−0.935544	+	0.353209i	$0.885090\pi$
$608$	7.93582	−	8.61045i	0.321840	−	0.349200i
$609$	−6.92537	+	12.9477i	−0.280630	+	0.524669i
$610$	0.612778	−	17.6574i	0.0248106	−	0.714925i
$611$	−11.6719	−	13.4701i	−0.472193	−	0.544940i
$612$	−2.25828	−	24.8270i	−0.0912855	−	1.00357i
$613$	−1.56140	+	10.8597i	−0.0630642	+	0.438621i	0.933688	+	0.358088i	$0.116571\pi$
$613$	−1.56140	+	10.8597i	−0.0630642	+	0.438621i	−0.996752	+	0.0805327i	$0.974338\pi$
$614$	−5.93041	−	23.1376i	−0.239332	−	0.933756i
$615$	0.812891	+	10.1337i	0.0327789	+	0.408629i
$616$	−35.6354	−	20.9977i	−1.43579	−	0.846022i
$617$	−33.7047	+	15.3924i	−1.35690	+	0.619675i	−0.955163	−	0.296080i	$-0.904321\pi$
$617$	−33.7047	+	15.3924i	−1.35690	+	0.619675i	−0.401737	+	0.915755i	$0.631593\pi$
$618$	25.8945	−	1.17526i	1.04163	−	0.0472760i
$619$	25.7766	−	40.1091i	1.03605	−	1.61212i	0.277246	−	0.960799i	$-0.410578\pi$
$619$	25.7766	−	40.1091i	1.03605	−	1.61212i	0.758801	−	0.651322i	$-0.225785\pi$
$620$	−2.86472	−	7.63348i	−0.115050	−	0.306568i
$621$	0.298265	−	24.9181i	0.0119690	−	0.999928i
$622$	21.6007	+	14.9653i	0.866109	+	0.600055i
$623$	16.9259	+	10.8776i	0.678121	+	0.435802i
$624$	44.3071	+	9.05135i	1.77370	+	0.362344i
$625$	−5.70359	−	12.4891i	−0.228144	−	0.499565i
$626$	−20.5079	−	25.3962i	−0.819661	−	1.01504i
$627$	12.9593	−	1.03955i	0.517545	−	0.0415157i
$628$	−6.40094	−	2.37271i	−0.255425	−	0.0946815i
$629$	−32.8551	−	4.72385i	−1.31002	−	0.188352i
$630$	23.8920	−	19.9855i	0.951881	−	0.796241i
$631$	7.25771	−	6.28884i	0.288925	−	0.250355i	−0.498323	−	0.866991i	$-0.666051\pi$
$631$	7.25771	−	6.28884i	0.288925	−	0.250355i	0.787248	+	0.616637i	$0.211505\pi$
$632$	13.2586	−	4.45754i	0.527397	−	0.177311i
$633$	−21.1087	−	11.2904i	−0.838995	−	0.448754i
$634$	−38.7058	+	4.20086i	−1.53720	+	0.166837i
$635$	0.698684	−	0.205152i	0.0277264	−	0.00814121i
$636$	−17.5571	−	19.8306i	−0.696183	−	0.786333i
$637$	39.5972	−	45.6976i	1.56890	−	1.81061i
$638$	−5.51004	−	9.26535i	−0.218145	−	0.366819i
$639$	−15.0332	+	13.4884i	−0.594706	+	0.533595i
$640$	16.1285	+	12.8102i	0.637536	+	0.506366i
$641$	38.3811	−	5.51837i	1.51596	−	0.217962i	0.666457	−	0.745543i	$-0.267810\pi$
$641$	38.3811	−	5.51837i	1.51596	−	0.217962i	0.849505	+	0.527581i	$0.176901\pi$
$642$	−24.5022	−	19.3579i	−0.967023	−	0.763994i
$643$			16.0428i			0.632667i	0.948648	+	0.316334i	$0.102452\pi$
$643$			16.0428i			0.632667i	−0.948648	+	0.316334i	$0.897548\pi$
$644$	12.2224	−	36.6998i	0.481631	−	1.44617i
$645$	18.7494	−	10.4494i	0.738255	−	0.411443i
$646$	4.66601	+	11.2326i	0.183582	+	0.441943i
$647$	4.72893	+	32.8904i	0.185913	+	1.29306i	0.842455	+	0.538767i	$0.181110\pi$
$647$	4.72893	+	32.8904i	0.185913	+	1.29306i	−0.656542	+	0.754290i	$0.727981\pi$
$648$	15.2941	+	20.3492i	0.600807	+	0.799394i
$649$	−33.2382	−	9.75961i	−1.30471	−	0.383098i
$650$	13.3744	−	7.95365i	0.524585	−	0.311968i
$651$	3.19259	−	15.3123i	0.125127	−	0.600135i
$652$	1.47422	+	6.71159i	0.0577350	+	0.262846i
$653$	2.93924	+	10.0101i	0.115021	+	0.391726i	0.996800	−	0.0799370i	$-0.0254719\pi$
$653$	2.93924	+	10.0101i	0.115021	+	0.391726i	−0.881779	+	0.471663i	$0.843654\pi$
$654$	−13.5584	−	19.1309i	−0.530176	−	0.748076i
$655$	−3.76308	−	5.85547i	−0.147036	−	0.228792i
$656$	−12.3885	−	3.58328i	−0.483688	−	0.139903i
$657$	30.1520	−	4.86872i	1.17634	−	0.189947i
$658$	4.90317	−	14.7815i	0.191145	−	0.576242i
$659$	−3.49902	+	24.3362i	−0.136303	+	0.948005i	0.800795	+	0.598938i	$0.204411\pi$
$659$	−3.49902	+	24.3362i	−0.136303	+	0.948005i	−0.937098	+	0.349067i	$0.886499\pi$
$660$	3.49569	+	22.5993i	0.136069	+	0.879676i
$661$	−15.0331	+	32.9178i	−0.584719	+	1.28036i	0.353863	+	0.935297i	$0.384868\pi$
$661$	−15.0331	+	32.9178i	−0.584719	+	1.28036i	−0.938581	+	0.345058i	$0.887859\pi$
$662$	−17.5554	+	14.1763i	−0.682309	+	0.550977i
$663$	−27.8241	+	37.8463i	−1.08060	+	1.46983i
$664$	12.3057	+	1.28529i	0.477554	+	0.0498791i
$665$	−8.21647	+	12.7851i	−0.318621	+	0.495784i
$666$	31.0711	−	13.5414i	1.20398	−	0.524720i
$667$	7.39369	−	6.85338i	0.286285	−	0.265364i
$668$	−1.91108	−	5.09237i	−0.0739420	−	0.197030i
$669$	−2.35932	+	37.5467i	−0.0912165	+	1.45164i
$670$	12.9782	−	25.9927i	0.501392	−	1.00419i
$671$	10.3372	+	22.6352i	0.399062	+	0.873824i
$672$	12.9906	+	37.3170i	0.501124	+	1.43954i
$673$	9.73739	−	21.3219i	0.375349	−	0.821899i	−0.623837	−	0.781554i	$-0.714427\pi$
$673$	9.73739	−	21.3219i	0.375349	−	0.821899i	0.999186	−	0.0403448i	$-0.0128456\pi$
$674$	−27.2401	+	6.98194i	−1.04925	+	0.268934i
$675$	8.60442	+	1.63931i	0.331184	+	0.0630970i
$676$	−35.5790	−	47.3284i	−1.36842	−	1.82032i
$677$	−30.6236	+	26.5355i	−1.17696	+	1.01984i	−0.177598	+	0.984103i	$0.556833\pi$
$677$	−30.6236	+	26.5355i	−1.17696	+	1.01984i	−0.999361	+	0.0357378i	$0.988622\pi$
$678$	−0.714838	−	1.39427i	−0.0274532	−	0.0535465i
$679$	1.30558	+	2.03153i	0.0501037	+	0.0779628i
$680$	−19.1024	+	9.63450i	−0.732545	+	0.369466i
$681$	−2.34025	+	2.38107i	−0.0896786	+	0.0912427i
$682$	8.41246	+	7.81643i	0.322130	+	0.299307i
$683$	−11.8831	+	13.7138i	−0.454695	+	0.524746i	−0.936091	−	0.351757i	$-0.885584\pi$
$683$	−11.8831	+	13.7138i	−0.454695	+	0.524746i	0.481397	+	0.876503i	$0.340130\pi$
$684$	−10.0846	−	7.24966i	−0.385595	−	0.277198i
$685$	2.42986	+	0.713472i	0.0928403	+	0.0272604i
$686$	12.7078	+	2.27948i	0.485185	+	0.0870311i
$687$	14.7949	+	19.4116i	0.564461	+	0.740598i
$688$	3.98389	+	26.9356i	0.151885	+	1.02691i
$689$			49.9062i			1.90127i
$690$	−19.9816	+	7.62280i	−0.760688	+	0.290195i
$691$			21.8978i			0.833030i	0.909129	+	0.416515i	$0.136749\pi$
$691$			21.8978i			0.833030i	−0.909129	+	0.416515i	$0.863251\pi$
$692$	−42.8440	−	9.22955i	−1.62869	−	0.350855i
$693$	−17.5318	+	40.2153i	−0.665979	+	1.52765i
$694$	−7.22356	+	40.2703i	−0.274203	+	1.52864i
$695$	−20.5788	−	6.04248i	−0.780598	−	0.229204i
$696$	−1.71004	+	10.1553i	−0.0648190	+	0.384936i
$697$	8.77234	−	10.1238i	0.332276	−	0.383467i
$698$	15.8396	−	17.0474i	0.599538	−	0.645255i
$699$	−17.1799	−	16.8853i	−0.649802	−	0.638663i
$700$	11.9464	+	6.49191i	0.451530	+	0.245371i
$701$	1.38904	+	2.16139i	0.0524634	+	0.0816346i	0.866494	−	0.499187i	$-0.166368\pi$
$701$	1.38904	+	2.16139i	0.0524634	+	0.0816346i	−0.814031	+	0.580821i	$0.802731\pi$
$702$	3.84047	−	47.8114i	0.144949	−	1.80452i
$703$	−12.4977	+	10.8294i	−0.471362	+	0.408437i
$704$	−28.3829	−	5.99441i	−1.06972	−	0.225923i
$705$	−8.04107	+	3.07861i	−0.302844	+	0.115947i
$706$	4.38926	+	17.1248i	0.165192	+	0.644499i
$707$	−11.4697	+	25.1152i	−0.431363	+	0.944554i
$708$	18.1876	+	27.6477i	0.683533	+	1.03906i
$709$	17.8852	+	39.1631i	0.671692	+	1.47080i	0.871213	+	0.490906i	$0.163334\pi$
$709$	17.8852	+	39.1631i	0.671692	+	1.47080i	−0.199521	+	0.979894i	$0.563939\pi$
$710$	15.5079	+	7.74310i	0.581999	+	0.290593i
$711$	−6.39565	−	13.3870i	−0.239856	−	0.502052i
$712$	13.6832	+	3.44831i	0.512801	+	0.129231i
$713$	−5.50026	+	9.22378i	−0.205986	+	0.345433i
$714$	−40.8492	−	3.99316i	−1.52874	−	0.149440i
$715$	23.2958	−	36.2490i	0.871214	−	1.35564i
$716$	15.0168	−	8.23923i	0.561205	−	0.307914i
$717$	30.1542	+	22.1690i	1.12613	+	0.827916i
$718$	3.46202	+	4.28723i	0.129201	+	0.159998i
$719$	−0.384218	+	0.841319i	−0.0143289	+	0.0313759i	−0.916661	−	0.399665i	$-0.869126\pi$
$719$	−0.384218	+	0.841319i	−0.0143289	+	0.0313759i	0.902332	+	0.431041i	$0.141854\pi$
$720$	11.4163	−	18.6260i	0.425460	−	0.694149i
$721$	6.07350	−	42.2421i	0.226189	−	1.57318i
$722$	−19.7520	−	6.55193i	−0.735092	−	0.243838i
$723$	−0.318456	−	0.115652i	−0.0118435	−	0.00430114i
$724$	23.1894	+	17.2864i	0.861829	+	0.642444i
$725$	1.91580	+	2.98104i	0.0711509	+	0.110713i
$726$	−3.04345	−	4.29430i	−0.112953	−	0.159376i
$727$	11.0868	+	37.7582i	0.411187	+	1.40038i	0.861615	+	0.507562i	$0.169453\pi$
$727$	11.0868	+	37.7582i	0.411187	+	1.40038i	−0.450428	+	0.892813i	$0.648729\pi$
$728$	28.2836	−	68.8722i	1.04826	−	2.55257i
$729$	19.4610	−	18.7155i	0.720779	−	0.693165i
$730$	−13.3978	−	22.5289i	−0.495874	−	0.833831i
$731$	−27.1375	−	7.96830i	−1.00372	−	0.294718i
$732$	6.45372	−	22.8793i	0.238536	−	0.845642i
$733$	−2.11161	−	14.6866i	−0.0779941	−	0.542461i	−0.990932	−	0.134363i	$-0.957101\pi$
$733$	−2.11161	−	14.6866i	−0.0779941	−	0.542461i	0.912938	−	0.408098i	$-0.133808\pi$
$734$	31.7418	−	13.1855i	1.17161	−	0.486684i
$735$	−14.2203	−	25.5156i	−0.524524	−	0.941157i
$736$	−0.0771654	−	27.1292i	−0.00284435	−	0.999996i
$737$			40.9183i			1.50725i
$738$	−2.18192	+	13.5034i	−0.0803178	+	0.497067i
$739$	−40.7502	+	5.85899i	−1.49902	+	0.215527i	−0.842465	−	0.538751i	$-0.818896\pi$
$739$	−40.7502	+	5.85899i	−1.49902	+	0.215527i	−0.656555	+	0.754278i	$0.727987\pi$
$740$	−20.6096	−	20.5265i	−0.757623	−	0.754568i
$741$	5.17207	+	22.8238i	0.190001	+	0.838454i
$742$	−37.4795	+	22.2888i	−1.37592	+	0.818248i
$743$	14.5588	−	16.8018i	0.534111	−	0.616397i	−0.422996	−	0.906131i	$-0.639022\pi$
$743$	14.5588	−	16.8018i	0.534111	−	0.616397i	0.957107	+	0.289735i	$0.0935671\pi$
$744$	−1.29993	−	10.8929i	−0.0476576	−	0.399353i
$745$	−25.3226	+	7.43538i	−0.927747	+	0.272411i
$746$	3.75041	+	34.5555i	0.137312	+	1.26517i
$747$	−0.226901	−	13.1212i	−0.00830187	−	0.480080i
$748$	18.0090	−	24.1588i	0.658474	−	0.883332i
$749$	−38.8538	+	33.6670i	−1.41969	+	1.23016i
$750$	−5.57659	−	29.2877i	−0.203628	−	1.06944i
$751$	−17.5147	−	2.51824i	−0.639122	−	0.0918918i	−0.184867	−	0.982764i	$-0.559185\pi$
$751$	−17.5147	−	2.51824i	−0.639122	−	0.0918918i	−0.454255	+	0.890872i	$0.650094\pi$
$752$	−0.0441275	−	10.9224i	−0.00160916	−	0.398298i
$753$	0.157857	+	1.96789i	0.00575265	+	0.0717138i
$754$	15.0969	−	12.1910i	0.549797	−	0.443971i
$755$	−0.635302	−	1.39112i	−0.0231210	−	0.0506279i
$756$	37.6215	−	18.4690i	1.36828	−	0.671713i
$757$	−22.0572	−	14.1753i	−0.801682	−	0.515210i	0.0744821	−	0.997222i	$-0.476270\pi$
$757$	−22.0572	−	14.1753i	−0.801682	−	0.515210i	−0.876164	+	0.482012i	$0.839906\pi$
$758$	7.00610	−	10.1125i	0.254473	−	0.367302i
$759$	20.3825	−	22.1770i	0.739838	−	0.804974i
$760$	−2.60470	+	10.3357i	−0.0944825	+	0.374916i
$761$	22.0051	−	34.2406i	0.797684	−	1.24122i	−0.169093	−	0.985600i	$-0.554084\pi$
$761$	22.0051	−	34.2406i	0.797684	−	1.24122i	0.966777	−	0.255621i	$-0.0822800\pi$
$762$	0.978751	−	0.0444221i	0.0354564	−	0.00160924i
$763$	−35.1164	+	16.0371i	−1.27130	+	0.580583i
$764$	−0.0956416	−	1.30032i	−0.00346019	−	0.0470441i
$765$	12.5966	+	18.8750i	0.455433	+	0.682429i
$766$	10.6340	−	2.72560i	0.384221	−	0.0984799i
$767$	8.87429	−	61.7220i	0.320432	−	2.22865i
$768$	16.9764	+	21.9044i	0.612583	+	0.790406i
$769$	−19.1303	−	22.0776i	−0.689857	−	0.796138i	0.297488	−	0.954726i	$-0.403851\pi$
$769$	−19.1303	−	22.0776i	−0.689857	−	0.796138i	−0.987345	+	0.158588i	$0.949306\pi$
$770$	37.6272	+	1.30581i	1.35599	+	0.0470580i
$771$	1.66898	+	0.892686i	0.0601067	+	0.0321493i
$772$	−17.2268	+	31.7005i	−0.620005	+	1.14093i
$773$	−12.4061	−	42.2513i	−0.446217	−	1.51967i	−0.809004	−	0.587803i	$-0.799993\pi$
$773$	−12.4061	−	42.2513i	−0.446217	−	1.51967i	0.362788	−	0.931872i	$-0.381825\pi$
$774$	27.8478	−	7.65319i	1.00097	−	0.275088i
$775$	−2.85278	−	2.47195i	−0.102475	−	0.0887951i
$776$	1.32198	+	1.05873i	0.0474564	+	0.0380062i
$777$	−12.3326	−	54.4226i	−0.442431	−	1.95240i
$778$	−24.2532	−	4.35048i	−0.869520	−	0.155972i
$779$	−0.949784	−	6.60590i	−0.0340296	−	0.236681i
$780$	−39.3706	+	12.0178i	−1.40969	+	0.430306i
$781$	−24.4128			−0.873559
$782$	25.6195	+	11.7371i	0.916150	+	0.419716i
$783$	10.9117	+	0.496424i	0.389952	+	0.0177408i
$784$	36.6561	−	5.42159i	1.30915	−	0.193628i
$785$	6.15069	−	0.884336i	0.219528	−	0.0315633i
$786$	−3.04317	−	8.85693i	−0.108546	−	0.315916i
$787$	9.52298	−	32.4323i	0.339458	−	1.15609i	−0.596099	−	0.802911i	$-0.703284\pi$
$787$	9.52298	−	32.4323i	0.339458	−	1.15609i	0.935557	−	0.353176i	$-0.114898\pi$
$788$	2.29521	−	33.0287i	0.0817633	−	1.17660i
$789$	3.39516	−	16.2838i	0.120871	−	0.579719i
$790$	−8.66677	+	9.32764i	−0.308350	+	0.331863i
$791$	−2.47514	+	0.726766i	−0.0880058	+	0.0258408i
$792$	−2.66672	+	30.6529i	−0.0947577	+	1.08920i
$793$	−37.6820	+	24.2168i	−1.33813	+	0.859962i
$794$	36.5428	+	1.26818i	1.29686	+	0.0450058i
$795$	22.6610	+	8.22964i	0.803701	+	0.291875i
$796$	−9.88953	+	7.43443i	−0.350525	+	0.263506i
$797$	−23.2919	−	3.34887i	−0.825042	−	0.118623i	−0.283155	−	0.959074i	$-0.591381\pi$
$797$	−23.2919	−	3.34887i	−0.825042	−	0.118623i	−0.541887	+	0.840451i	$0.682290\pi$
$798$	−14.8307	+	14.0777i	−0.525002	+	0.498344i
$799$	10.3202	+	4.71309i	0.365103	+	0.166737i
$800$	9.39271	+	1.64570i	0.332083	+	0.0581842i
$801$	1.87356	−	14.8493i	0.0661991	−	0.524674i
$802$	23.7288	+	11.8479i	0.837895	+	0.418362i
$803$	31.0566	+	19.9589i	1.09596	+	0.704333i
$804$	25.2820	−	29.8136i	0.891626	−	1.05144i
$805$	6.17525	+	34.6645i	0.217649	+	1.22176i
$806$	−11.7718	+	16.9912i	−0.414644	+	0.598490i
$807$	3.40645	−	54.2110i	0.119913	−	1.90832i
$808$	−2.01162	+	19.2597i	−0.0707685	+	0.677554i
$809$	30.4199	−	13.8923i	1.06951	−	0.488428i	0.198705	−	0.980059i	$-0.436327\pi$
$809$	30.4199	−	13.8923i	1.06951	−	0.488428i	0.870803	+	0.491631i	$0.163599\pi$
$810$	−21.0764	−	9.62804i	−0.740551	−	0.338295i
$811$	−33.8347	−	15.4518i	−1.18810	−	0.542585i	−0.279453	−	0.960159i	$-0.590153\pi$
$811$	−33.8347	−	15.4518i	−1.18810	−	0.542585i	−0.908643	+	0.417574i	$0.862880\pi$
$812$	15.8980	+	5.89307i	0.557909	+	0.206806i
$813$	−0.0939291	+	0.0359618i	−0.00329424	+	0.00126124i
$814$	38.8842	+	12.8983i	1.36289	+	0.452085i
$815$	−4.09611	−	4.72717i	−0.143481	−	0.165585i
$816$	−28.0484	+	6.47525i	−0.981890	+	0.226679i
$817$	−11.8540	+	7.61809i	−0.414718	+	0.266523i
$818$	6.04834	+	55.7282i	0.211475	+	1.94849i
$819$	−76.1445	−	20.9350i	−2.66070	−	0.731528i
$820$	11.4656	−	2.51846i	0.400397	−	0.0879485i
$821$	42.2696	+	36.6268i	1.47522	+	1.27829i	0.880226	+	0.474555i	$0.157391\pi$
$821$	42.2696	+	36.6268i	1.47522	+	1.27829i	0.594994	+	0.803730i	$0.297154\pi$
$822$	2.94704	+	1.71031i	0.102790	+	0.0596538i
$823$	5.16243	−	17.5816i	0.179951	−	0.612857i	−0.819271	−	0.573407i	$-0.805621\pi$
$823$	5.16243	−	17.5816i	0.179951	−	0.612857i	0.999222	−	0.0394497i	$-0.0125605\pi$
$824$	−5.40361	−	29.4394i	−0.188244	−	1.02557i
$825$	6.41777	+	8.42040i	0.223438	+	0.293161i
$826$	50.3166	−	20.9014i	1.75074	−	0.727252i
$827$	−39.7203			−1.38121			−0.690604	−	0.723233i	$-0.742655\pi$
$827$	−39.7203			−1.38121			−0.690604	+	0.723233i	$0.742655\pi$
$828$	−28.5533	+	3.56482i	−0.992296	+	0.123886i
$829$	40.0150			1.38978			0.694890	−	0.719116i	$-0.255453\pi$
$829$	40.0150			1.38978			0.694890	+	0.719116i	$0.255453\pi$
$830$	−10.4007	+	4.32041i	−0.361013	+	0.149964i
$831$	−8.56096	−	11.2324i	−0.296976	−	0.389646i
$832$	3.40949	−	52.1066i	0.118203	−	1.80647i
$833$	−10.8439	+	36.9309i	−0.375718	+	1.27958i
$834$	−24.9589	−	14.4848i	−0.864254	−	0.501567i
$835$	3.74175	+	3.24225i	0.129489	+	0.112203i
$836$	−3.22069	−	14.6626i	−0.111390	−	0.507118i
$837$	−11.3018	+	2.76736i	−0.390647	+	0.0956540i
$838$	−5.65015	−	52.0593i	−0.195181	−	1.79836i
$839$	−1.46064	+	0.938698i	−0.0504270	+	0.0324074i	−0.565611	−	0.824672i	$-0.691360\pi$
$839$	−1.46064	+	0.938698i	−0.0504270	+	0.0324074i	0.515184	+	0.857079i	$0.327723\pi$
$840$	−26.6088	−	24.1999i	−0.918091	−	0.834977i
$841$	−16.0972	−	18.5771i	−0.555075	−	0.640591i
$842$	−0.851688	−	0.282514i	−0.0293511	−	0.00973606i
$843$	−15.4215	+	5.90427i	−0.531143	+	0.203354i
$844$	−9.60747	+	25.9184i	−0.330703	+	0.892148i
$845$	49.0261	+	22.3895i	1.68655	+	0.770222i
$846$	−11.4941	+	1.44897i	−0.395174	+	0.0498165i
$847$	−7.88258	+	3.59985i	−0.270849	+	0.123692i
$848$	−19.9342	+	23.1940i	−0.684544	+	0.796486i
$849$	1.20002	−	19.0974i	0.0411847	−	0.655422i
$850$	−5.64089	+	8.14197i	−0.193481	+	0.279267i
$851$	−4.17949	+	38.0844i	−0.143271	+	1.30552i
$852$	17.7875	+	15.0838i	0.609389	+	0.516763i
$853$	18.8976	+	12.1448i	0.647042	+	0.415829i	0.822584	−	0.568643i	$-0.192531\pi$
$853$	18.8976	+	12.1448i	0.647042	+	0.415829i	−0.175542	+	0.984472i	$0.556168\pi$
$854$	−35.0161	−	17.4836i	−1.19823	−	0.598276i
$855$	11.2165	+	1.41521i	0.383597	+	0.0483991i
$856$	−18.3048	+	31.0652i	−0.625645	+	1.06179i
$857$	25.3751	+	11.5884i	0.866796	+	0.395852i	0.798630	−	0.601822i	$-0.205558\pi$
$857$	25.3751	+	11.5884i	0.866796	+	0.395852i	0.0681652	+	0.997674i	$0.478286\pi$
$858$	42.0490	−	39.9138i	1.43553	−	1.36264i
$859$	33.5707	+	4.82673i	1.14542	+	0.164686i	0.688782	−	0.724968i	$-0.258146\pi$
$859$	33.5707	+	4.82673i	1.14542	+	0.164686i	0.456634	+	0.889654i	$0.349055\pi$
$860$	−14.8932	−	19.8115i	−0.507855	−	0.675566i
$861$	21.1677	+	7.68733i	0.721392	+	0.261983i
$862$	35.0702	+	1.21707i	1.19450	+	0.0414536i
$863$	2.84623	−	1.82916i	0.0968868	−	0.0622654i	−0.491300	−	0.870990i	$-0.663478\pi$
$863$	2.84623	−	1.82916i	0.0968868	−	0.0622654i	0.588187	+	0.808725i	$0.299842\pi$
$864$	20.8823	−	20.6864i	0.710432	−	0.703766i
$865$	38.2779	−	11.2394i	1.30149	−	0.382151i
$866$	−11.0511	+	11.8937i	−0.375530	+	0.404166i
$867$	0.0931074	−	0.446561i	0.00316209	−	0.0151660i
$868$	−18.0178	−	1.25208i	−0.611565	−	0.0424985i
$869$	5.05225	−	17.2064i	0.171386	−	0.583686i
$870$	−3.04608	−	8.86540i	−0.103272	−	0.300565i
$871$	−72.9059	+	10.4823i	−2.47032	+	0.355179i
$872$	−19.7606	+	18.5098i	−0.669177	+	0.626822i
$873$	0.944941	−	1.52781i	0.0319814	−	0.0517085i
$874$	12.7777	−	5.81692i	0.432212	−	0.196760i
$875$	−49.0854			−1.65939
$876$	−10.2963	−	33.7310i	−0.347881	−	1.13967i
$877$	−5.99845	−	41.7201i	−0.202553	−	1.40879i	−0.796673	−	0.604411i	$-0.793408\pi$
$877$	−5.99845	−	41.7201i	−0.202553	−	1.40879i	0.594119	−	0.804377i	$-0.297501\pi$
$878$	−8.00112	−	1.43522i	−0.270025	−	0.0484363i
$879$	2.54839	+	11.2458i	0.0859552	+	0.379311i
$880$	25.3059	−	7.54165i	0.853060	−	0.254229i
$881$	22.3244	+	19.3442i	0.752128	+	0.651722i	0.944093	−	0.329679i	$-0.106941\pi$
$881$	22.3244	+	19.3442i	0.752128	+	0.651722i	−0.191965	+	0.981402i	$0.561486\pi$
$882$	−10.4151	−	37.8975i	−0.350693	−	1.27608i
$883$	−6.80241	−	23.1669i	−0.228919	−	0.779628i	−0.991199	−	0.132380i	$-0.957738\pi$
$883$	−6.80241	−	23.1669i	−0.228919	−	0.779628i	0.762280	−	0.647248i	$-0.224080\pi$
$884$	47.6581	+	25.8985i	1.60292	+	0.871060i
$885$	−26.5628	−	14.2077i	−0.892898	−	0.477585i
$886$	6.57711	+	0.228251i	0.220962	+	0.00766824i
$887$	−0.939565	−	1.08432i	−0.0315475	−	0.0364078i	0.739757	−	0.672875i	$-0.234941\pi$
$887$	−0.939565	−	1.08432i	−0.0315475	−	0.0364078i	−0.771304	+	0.636467i	$0.780395\pi$
$888$	−20.3621	−	33.4230i	−0.683307	−	1.12160i
$889$	0.229564	−	1.59665i	0.00769932	−	0.0535500i
$890$	−12.4425	+	3.18915i	−0.417074	+	0.106901i
$891$	32.6156	−	1.12836i	1.09266	−	0.0378015i
$892$	43.3237	−	3.18655i	1.45058	−	0.106693i
$893$	5.14159	−	2.34808i	0.172057	−	0.0785756i
$894$	−35.4731	+	1.61000i	−1.18640	+	0.0538465i
$895$	−8.42940	+	13.1164i	−0.281764	+	0.438433i
$896$	40.6547	−	20.7110i	1.35818	−	0.691908i
$897$	44.7352	+	30.6351i	1.49367	+	1.02288i
$898$	−0.461578	+	0.666234i	−0.0154030	+	0.0222325i
$899$	−3.96000	−	2.54493i	−0.132073	−	0.0848783i
$900$	0.526601	−	10.1005i	0.0175534	−	0.336684i
$901$	−13.1968	−	28.8970i	−0.439649	−	0.962697i
$902$	−12.8631	+	10.3872i	−0.428294	+	0.345855i
$903$	−3.80197	−	47.3962i	−0.126522	−	1.57725i
$904$	−1.48300	+	1.03634i	−0.0493239	+	0.0344682i
$905$	−26.0599	−	3.74685i	−0.866262	−	0.124550i
$906$	−0.384883	−	2.02137i	−0.0127869	−	0.0671554i
$907$	−41.8506	+	36.2637i	−1.38962	+	1.20412i	−0.437192	+	0.899368i	$0.644027\pi$
$907$	−41.8506	+	36.2637i	−1.38962	+	1.20412i	−0.952433	+	0.304749i	$0.901428\pi$
$908$	3.09081	+	2.30403i	0.102572	+	0.0764618i
$909$	20.5361	−	0.355123i	0.681138	−	0.0117787i
$910$	7.31256	+	67.3765i	0.242409	+	2.23351i
$911$	40.4385	−	11.8738i	1.33979	−	0.393398i	0.468195	−	0.883625i	$-0.344905\pi$
$911$	40.4385	−	11.8738i	1.33979	−	0.393398i	0.871594	+	0.490228i	$0.163086\pi$
$912$	−6.71288	+	12.6733i	−0.222286	+	0.419656i
$913$	10.3875	−	11.9878i	0.343775	−	0.396737i
$914$	26.9268	−	16.0132i	0.890658	−	0.529669i
$915$	4.78228	+	21.1037i	0.158097	+	0.697667i
$916$	19.8879	−	19.9684i	0.657114	−	0.659774i
$917$	−15.2618	+	2.19432i	−0.503989	+	0.0724627i
$918$	10.4191	+	28.6995i	0.343883	+	0.947226i
$919$		−	1.78406i		−	0.0588506i	−0.999567	−	0.0294253i	$-0.990632\pi$
$919$		−	1.78406i		−	0.0588506i	0.999567	−	0.0294253i	$-0.00936772\pi$
$920$	11.8528	+	21.6643i	0.390775	+	0.714250i
$921$	14.2412	+	25.5531i	0.469264	+	0.842004i
$922$	−28.0487	+	11.6513i	−0.923734	+	0.383717i
$923$	−6.25397	−	43.4973i	−0.205852	−	1.43173i
$924$	48.7549	+	13.7526i	1.60392	+	0.452429i
$925$	−12.9213	−	3.79404i	−0.424850	−	0.124747i
$926$	29.2171	+	49.1297i	0.960135	+	1.61450i
$927$	−30.3016	+	9.46944i	−0.995237	+	0.311017i
$928$	11.8858	+	0.364413i	0.390172	+	0.0119624i
$929$	−0.0222026	−	0.0756151i	−0.000728444	−	0.00248085i	0.959128	−	0.282973i	$-0.0913206\pi$
$929$	−0.0222026	−	0.0756151i	−0.000728444	−	0.00248085i	−0.959856	+	0.280492i	$0.909502\pi$
$930$	5.77402	+	8.14712i	0.189338	+	0.267155i
$931$	10.3673	+	16.1318i	0.339774	+	0.528699i
$932$	−16.6240	+	22.3008i	−0.544537	+	0.730488i
$933$	−30.2512	−	10.9861i	−0.990378	−	0.359670i
$934$	2.90135	+	0.962407i	0.0949350	+	0.0314909i
$935$	−3.90347	+	27.1493i	−0.127657	+	0.887875i
$936$	−55.2987	+	3.10113i	−1.80750	+	0.101364i
$937$	16.7489	−	36.6749i	0.547161	−	1.19812i	−0.410934	−	0.911665i	$-0.634797\pi$
$937$	16.7489	−	36.6749i	0.547161	−	1.19812i	0.958095	−	0.286451i	$-0.0924755\pi$
$938$	−40.4330	−	50.0707i	−1.32018	−	1.63487i
$939$	32.2107	+	23.6809i	1.05116	+	0.772796i
$940$	4.78245	+	8.71649i	0.155986	+	0.284301i
$941$	7.21722	−	11.2302i	0.235275	−	0.366094i	−0.703460	−	0.710735i	$-0.748363\pi$
$941$	7.21722	−	11.2302i	0.235275	−	0.366094i	0.938735	+	0.344640i	$0.111999\pi$
$942$	8.32112	+	0.813422i	0.271117	+	0.0265027i
$943$	−12.0180	−	9.72851i	−0.391360	−	0.316804i
$944$	28.7782	−	25.1408i	0.936652	−	0.818262i
$945$	−22.0624	+	31.1228i	−0.717688	+	1.01242i
$946$	31.2313	+	15.5938i	1.01542	+	0.507000i
$947$	−21.7296	−	47.5811i	−0.706116	−	1.54618i	−0.832395	−	0.554183i	$-0.813031\pi$
$947$	−21.7296	−	47.5811i	−0.706116	−	1.54618i	0.126279	−	0.991995i	$-0.459697\pi$
$948$	−14.3123	+	9.41517i	−0.464843	+	0.305791i
$949$	−27.6056	+	60.4478i	−0.896115	+	1.96222i
$950$	1.22523	+	4.78026i	0.0397518	+	0.155092i
$951$	44.5310	−	17.0492i	1.44402	−	0.552857i
$952$	1.83509	+	47.3578i	0.0594755	+	1.53488i
$953$	−29.1833	+	25.2874i	−0.945338	+	0.819140i	−0.983644	−	0.180126i	$-0.942350\pi$
$953$	−29.1833	+	25.2874i	−0.945338	+	0.819140i	0.0383052	+	0.999266i	$0.487804\pi$
$954$	26.9797	+	18.0097i	0.873500	+	0.583084i
$955$	0.641649	+	0.998426i	0.0207633	+	0.0323083i
$956$	20.6347	−	37.9719i	0.667375	−	1.22810i
$957$	9.41607	+	9.25465i	0.304378	+	0.299160i
$958$	−8.41910	+	9.06108i	−0.272009	+	0.292750i
$959$	3.67370	−	4.23967i	0.118630	−	0.136906i
$960$	−23.0979	−	10.1406i	−0.745481	−	0.327288i
$961$	−24.9330	−	7.32099i	−0.804291	−	0.236161i
$962$	−13.0202	+	72.5858i	−0.419789	+	2.34026i
$963$	35.0577	+	15.2834i	1.12972	+	0.492500i
$964$	−0.0823874	+	0.382446i	−0.00265352	+	0.0123178i
$965$		−	32.8411i		−	1.05719i
$966$	−3.02757	+	47.2782i	−0.0974105	+	1.52115i
$967$			20.2575i			0.651438i	0.945467	+	0.325719i	$0.105606\pi$
$967$			20.2575i			0.651438i	−0.945467	+	0.325719i	$0.894394\pi$
$968$	−4.43565	+	4.15490i	−0.142567	+	0.133543i
$969$	−9.03011	−	11.8479i	−0.290089	−	0.380610i
$970$	−1.51747	−	0.272199i	−0.0487229	−	0.00873978i
$971$	32.5130	+	9.54669i	1.04339	+	0.306368i	0.758145	−	0.652086i	$-0.226106\pi$
$971$	32.5130	+	9.54669i	1.04339	+	0.306368i	0.285248	+	0.958454i	$0.407924\pi$
$972$	−24.4613	−	19.3299i	−0.784597	−	0.620006i
$973$	−31.1130	+	35.9063i	−0.997436	+	1.15110i
$974$	−26.5064	−	24.6284i	−0.849321	−	0.789146i
$975$	−13.3589	+	13.5919i	−0.427827	+	0.435290i
$976$	−27.1858	−	3.79669i	−0.870196	−	0.121529i
$977$	8.20424	+	12.7660i	0.262477	+	0.408422i	0.947330	−	0.320259i	$-0.103770\pi$
$977$	8.20424	+	12.7660i	0.262477	+	0.408422i	−0.684853	+	0.728681i	$0.740134\pi$
$978$	−3.83961	−	7.48903i	−0.122777	−	0.239473i
$979$	13.6721	−	11.8469i	0.436962	−	0.378630i
$980$	−26.9610	+	20.2679i	−0.861238	+	0.647433i
$981$	22.0256	+	18.4283i	0.703224	+	0.588370i
$982$	−27.8126	+	7.12868i	−0.887537	+	0.227485i
$983$	−24.5104	+	53.6704i	−0.781761	+	1.71182i	−0.0829044	+	0.996558i	$0.526420\pi$
$983$	−24.5104	+	53.6704i	−0.781761	+	1.71182i	−0.698857	+	0.715261i	$0.746308\pi$
$984$	15.7901	+	0.379420i	0.503369	+	0.0120955i
$985$	12.5194	+	27.4137i	0.398902	+	0.873474i
$986$	−5.51780	+	11.0510i	−0.175723	+	0.351937i
$987$	−1.19616	+	19.0360i	−0.0380742	+	0.605922i
$988$	25.3000	−	9.49466i	0.804899	−	0.302065i
$989$	−8.14332	+	31.6140i	−0.258943	+	1.00527i
$990$	−11.1897	−	25.6751i	−0.355633	−	0.816008i
$991$	29.3679	−	45.6974i	0.932903	−	1.45163i	0.0411241	−	0.999154i	$-0.486906\pi$
$991$	29.3679	−	45.6974i	0.932903	−	1.45163i	0.891779	−	0.452471i	$-0.149458\pi$
$992$	−12.2578	+	3.19465i	−0.389187	+	0.101430i
$993$	16.3696	−	22.2660i	0.519475	−	0.706589i
$994$	29.8733	−	24.1233i	0.947524	−	0.765143i
$995$	4.67840	−	10.2443i	0.148315	−	0.324765i
$996$	−14.9752	+	2.31639i	−0.474509	+	0.0733977i
$997$	−1.81199	+	12.6027i	−0.0573864	+	0.399131i	0.940802	+	0.338958i	$0.110074\pi$
$997$	−1.81199	+	12.6027i	−0.0573864	+	0.399131i	−0.998188	+	0.0601732i	$0.980835\pi$
$998$	13.6212	−	41.0634i	0.431170	−	1.29984i
$999$	−32.5751	+	25.7301i	−1.03063	+	0.814066i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	276.2.o.a.71.28	yes	440
3.2	odd	2	inner	276.2.o.a.71.17	yes	440
4.3	odd	2	inner	276.2.o.a.71.2	yes	440
12.11	even	2	inner	276.2.o.a.71.43	yes	440
23.12	even	11	inner	276.2.o.a.35.43	yes	440
69.35	odd	22	inner	276.2.o.a.35.2	✓	440
92.35	odd	22	inner	276.2.o.a.35.17	yes	440
276.35	even	22	inner	276.2.o.a.35.28	yes	440

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
276.2.o.a.35.2	✓	440	69.35	odd	22	inner
276.2.o.a.35.17	yes	440	92.35	odd	22	inner
276.2.o.a.35.28	yes	440	276.35	even	22	inner
276.2.o.a.35.43	yes	440	23.12	even	11	inner
276.2.o.a.71.2	yes	440	4.3	odd	2	inner
276.2.o.a.71.17	yes	440	3.2	odd	2	inner
276.2.o.a.71.28	yes	440	1.1	even	1	trivial
276.2.o.a.71.43	yes	440	12.11	even	2	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:	\( N \)	\(=\)	\( 276 = 2^{2} \cdot 3 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	276.o (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.542515 + 1.30602i) q^{2} +(-1.04993 - 1.37755i) q^{3} +(-1.41135 + 1.41707i) q^{4} +(0.512900 - 1.74678i) q^{5} +(1.22950 - 2.11857i) q^{6} +(-3.04781 - 2.64094i) q^{7} +(-2.61639 - 1.07447i) q^{8} +(-0.795302 + 2.89266i) q^{9} +O(q^{10})\)	\(q+(0.542515 + 1.30602i) q^{2} +(-1.04993 - 1.37755i) q^{3} +(-1.41135 + 1.41707i) q^{4} +(0.512900 - 1.74678i) q^{5} +(1.22950 - 2.11857i) q^{6} +(-3.04781 - 2.64094i) q^{7} +(-2.61639 - 1.07447i) q^{8} +(-0.795302 + 2.89266i) q^{9} +(2.55957 - 0.277798i) q^{10} +(-3.05049 + 1.96043i) q^{11} +(3.43390 + 0.456395i) q^{12} +(-4.27444 - 4.93297i) q^{13} +(1.79563 - 5.41324i) q^{14} +(-2.94478 + 1.12744i) q^{15} +(-0.0161603 - 3.99997i) q^{16} +(3.77945 + 1.72602i) q^{17} +(-4.20933 + 0.530637i) q^{18} +(1.88294 - 0.859910i) q^{19} +(1.75142 + 3.19213i) q^{20} +(-0.438056 + 6.97132i) q^{21} +(-4.21529 - 2.92042i) q^{22} +(1.84505 - 4.42671i) q^{23} +(1.26689 + 4.73234i) q^{24} +(1.41811 + 0.911362i) q^{25} +(4.12359 - 8.25871i) q^{26} +(4.81980 - 1.94152i) q^{27} +(8.04393 - 0.591648i) q^{28} +(1.91216 + 0.873255i) q^{29} +(-3.07005 - 3.23428i) q^{30} +(-2.21649 - 0.318683i) q^{31} +(5.21525 - 2.19115i) q^{32} +(5.90339 + 2.14390i) q^{33} +(-0.203795 + 5.87241i) q^{34} +(-6.17635 + 3.96930i) q^{35} +(-2.97664 - 5.20957i) q^{36} +(-7.66522 + 2.25071i) q^{37} +(2.14458 + 1.99264i) q^{38} +(-2.30757 + 11.0675i) q^{39} +(-3.21881 + 4.01916i) q^{40} +(0.908324 - 3.09347i) q^{41} +(-9.34230 + 3.20994i) q^{42} +(-6.73787 + 0.968760i) q^{43} +(1.52726 - 7.08961i) q^{44} +(4.64492 + 2.87286i) q^{45} +(6.78233 + 0.00810976i) q^{46} +2.73062 q^{47} +(-5.49320 + 4.22194i) q^{48} +(1.31836 + 9.16942i) q^{49} +(-0.420908 + 2.34650i) q^{50} +(-1.59047 - 7.01858i) q^{51} +(13.0231 + 0.904993i) q^{52} +(-5.77832 - 5.00694i) q^{53} +(5.15047 + 5.24144i) q^{54} +(1.85984 + 6.33403i) q^{55} +(5.13666 + 10.1845i) q^{56} +(-3.16152 - 1.69101i) q^{57} +(-0.103107 + 2.97107i) q^{58} +(6.25607 + 7.21989i) q^{59} +(2.55847 - 5.76418i) q^{60} +(0.976622 - 6.79256i) q^{61} +(-0.786275 - 3.06766i) q^{62} +(10.0633 - 6.71594i) q^{63} +(5.69103 + 5.62247i) q^{64} +(-10.8092 + 4.93638i) q^{65} +(0.402716 + 8.87302i) q^{66} +(6.10076 - 9.49297i) q^{67} +(-7.78002 + 2.91971i) q^{68} +(-8.03520 + 2.10607i) q^{69} +(-8.53474 - 5.91301i) q^{70} +(5.66372 + 3.63985i) q^{71} +(5.18890 - 6.71382i) q^{72} +(-4.22928 - 9.26083i) q^{73} +(-7.09797 - 8.78985i) q^{74} +(-0.233461 - 2.91038i) q^{75} +(-1.43895 + 3.88189i) q^{76} +(14.4747 + 2.08115i) q^{77} +(-15.7063 + 2.99059i) q^{78} +(-3.73751 + 3.23857i) q^{79} +(-6.99534 - 2.02335i) q^{80} +(-7.73499 - 4.60108i) q^{81} +(4.53290 - 0.491969i) q^{82} +(-4.19720 + 1.23241i) q^{83} +(-9.26057 - 10.4597i) q^{84} +(4.95344 - 5.71658i) q^{85} +(-4.92062 - 8.27420i) q^{86} +(-0.804677 - 3.55096i) q^{87} +(10.0877 - 1.85160i) q^{88} +(-4.93823 + 0.710010i) q^{89} +(-1.23206 + 7.62491i) q^{90} +26.3233i q^{91} +(3.66892 + 8.86222i) q^{92} +(1.88815 + 3.38793i) q^{93} +(1.48140 + 3.56623i) q^{94} +(-0.536311 - 3.73012i) q^{95} +(-8.49406 - 4.88374i) q^{96} +(-0.574550 - 0.168703i) q^{97} +(-11.2602 + 6.69636i) q^{98} +(-3.24480 - 10.3832i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 440 q - 22 q^{4} - 8 q^{6} - 18 q^{9}+O(q^{10}) \) 440 * q - 22 * q^4 - 8 * q^6 - 18 * q^9	\( 440 q - 22 q^{4} - 8 q^{6} - 18 q^{9} - 30 q^{10} - 18 q^{12} - 36 q^{13} - 30 q^{16} - 10 q^{18} - 22 q^{21} - 48 q^{22} - 14 q^{24} - 8 q^{25} - 34 q^{28} - 21 q^{30} - 6 q^{33} - 32 q^{34} + 22 q^{36} - 36 q^{37} - 168 q^{40} + q^{42} - 44 q^{45} - 110 q^{46} - 6 q^{48} - 16 q^{49} - 94 q^{52} + 21 q^{54} - 46 q^{57} - 116 q^{58} - 47 q^{60} - 68 q^{61} - 28 q^{64} - 20 q^{66} - 22 q^{69} - 44 q^{70} - 23 q^{72} - 36 q^{73} - 74 q^{76} + 134 q^{78} - 130 q^{81} + 36 q^{82} + 105 q^{84} - 60 q^{85} + 38 q^{88} + 162 q^{90} - 332 q^{93} - 40 q^{94} + 225 q^{96} - 36 q^{97}+O(q^{100}) \) 440 * q - 22 * q^4 - 8 * q^6 - 18 * q^9 - 30 * q^10 - 18 * q^12 - 36 * q^13 - 30 * q^16 - 10 * q^18 - 22 * q^21 - 48 * q^22 - 14 * q^24 - 8 * q^25 - 34 * q^28 - 21 * q^30 - 6 * q^33 - 32 * q^34 + 22 * q^36 - 36 * q^37 - 168 * q^40 + q^42 - 44 * q^45 - 110 * q^46 - 6 * q^48 - 16 * q^49 - 94 * q^52 + 21 * q^54 - 46 * q^57 - 116 * q^58 - 47 * q^60 - 68 * q^61 - 28 * q^64 - 20 * q^66 - 22 * q^69 - 44 * q^70 - 23 * q^72 - 36 * q^73 - 74 * q^76 + 134 * q^78 - 130 * q^81 + 36 * q^82 + 105 * q^84 - 60 * q^85 + 38 * q^88 + 162 * q^90 - 332 * q^93 - 40 * q^94 + 225 * q^96 - 36 * q^97

Introduction

L-functions

Modular forms

Varieties

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Database

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