LMFDB - Embedded newform 605.2.s.b.416.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [605,2,Mod(16,605)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(605, base_ring=CyclotomicField(110))

chi = DirichletCharacter(H, H._module([0, 4]))

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

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

chi := DirichletCharacter("605.16");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 605 = 5 \cdot 11^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	605.s (of order $55$, degree $40$, 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:	$880$
Relative dimension:	$22$ over $\Q(\zeta_{55})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{55}]$

Embedding invariants

Embedding label			416.10
Character	$\chi$	$=$	605.416
Dual form			605.2.s.b.16.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.325381 + 0.0373340i) q^{2} +(1.10628 - 0.803759i) q^{3} +(-1.84355 + 0.428698i) q^{4} +(-0.564443 - 0.825472i) q^{5} +(-0.329954 + 0.302829i) q^{6} +(0.602100 - 0.619546i) q^{7} +(1.20079 - 0.428440i) q^{8} +(-0.349226 + 1.07481i) q^{9} +O(q^{10})$	\(q+(-0.325381 + 0.0373340i) q^{2} +(1.10628 - 0.803759i) q^{3} +(-1.84355 + 0.428698i) q^{4} +(-0.564443 - 0.825472i) q^{5} +(-0.329954 + 0.302829i) q^{6} +(0.602100 - 0.619546i) q^{7} +(1.20079 - 0.428440i) q^{8} +(-0.349226 + 1.07481i) q^{9} +(0.214477 + 0.247520i) q^{10} +(-3.25996 + 0.610465i) q^{11} +(-1.69491 + 1.95603i) q^{12} +(-2.55116 - 4.23062i) q^{13} +(-0.172782 + 0.224067i) q^{14} +(-1.28791 - 0.459526i) q^{15} +(3.02235 - 1.48599i) q^{16} +(-0.489602 - 0.400345i) q^{17} +(0.0735045 - 0.362759i) q^{18} +(-4.94279 + 0.282639i) q^{19} +(1.39445 + 1.27982i) q^{20} +(0.168125 - 1.16933i) q^{21} +(1.03794 - 0.320341i) q^{22} +(-1.00291 - 6.97541i) q^{23} +(0.984043 - 1.43912i) q^{24} +(-0.362808 + 0.931864i) q^{25} +(0.988044 + 1.28132i) q^{26} +(1.74523 + 5.37126i) q^{27} +(-0.844400 + 1.40028i) q^{28} +(1.77475 + 4.55842i) q^{29} +(0.436218 + 0.101438i) q^{30} +(-8.67321 + 3.66533i) q^{31} +(-3.07302 + 1.97491i) q^{32} +(-3.11576 + 3.29557i) q^{33} +(0.174253 + 0.111986i) q^{34} +(-0.851269 - 0.147318i) q^{35} +(0.183046 - 2.13117i) q^{36} +(-0.534010 - 6.21737i) q^{37} +(1.59774 - 0.276499i) q^{38} +(-6.22270 - 2.62973i) q^{39} +(-1.03144 - 0.749385i) q^{40} +(-5.07883 - 2.86814i) q^{41} +(-0.0110487 + 0.386756i) q^{42} +(-3.38606 - 0.994238i) q^{43} +(5.74818 - 2.52296i) q^{44} +(1.08434 - 0.318391i) q^{45} +(0.586748 + 2.23222i) q^{46} +(-0.667560 - 3.29454i) q^{47} +(2.14919 - 4.07317i) q^{48} +(0.178579 + 6.25109i) q^{49} +(0.0832605 - 0.316756i) q^{50} +(-0.863417 - 0.0493720i) q^{51} +(6.51684 + 6.70567i) q^{52} +(-9.32119 - 4.58292i) q^{53} +(-0.768393 - 1.68255i) q^{54} +(2.34398 + 2.34643i) q^{55} +(0.457555 - 1.00191i) q^{56} +(-5.24093 + 4.28549i) q^{57} +(-0.747655 - 1.41696i) q^{58} +(5.27417 - 2.97846i) q^{59} +(2.57132 + 0.295032i) q^{60} +(6.49853 + 0.745637i) q^{61} +(2.68525 - 1.51643i) q^{62} +(0.455623 + 0.863502i) q^{63} +(-4.28831 + 3.50653i) q^{64} +(-2.05228 + 4.49386i) q^{65} +(0.890771 - 1.18864i) q^{66} +(5.93481 + 12.9954i) q^{67} +(1.07423 + 0.528163i) q^{68} +(-6.71605 - 6.91065i) q^{69} +(0.282487 + 0.0161532i) q^{70} +(0.575431 - 2.18917i) q^{71} +(0.0411442 + 1.44023i) q^{72} +(5.66598 - 10.7382i) q^{73} +(0.405876 + 2.00308i) q^{74} +(0.347627 + 1.32251i) q^{75} +(8.99109 - 2.64002i) q^{76} +(-1.58461 + 2.38726i) q^{77} +(2.12292 + 0.623347i) q^{78} +(0.475008 - 16.6275i) q^{79} +(-2.93259 - 1.65611i) q^{80} +(3.50505 + 2.54657i) q^{81} +(1.75963 + 0.743626i) q^{82} +(15.4551 - 2.67460i) q^{83} +(0.191346 + 2.22780i) q^{84} +(-0.0541215 + 0.630125i) q^{85} +(1.13888 + 0.197091i) q^{86} +(5.62724 + 3.61641i) q^{87} +(-3.65297 + 2.12973i) q^{88} +(-0.710388 + 0.456539i) q^{89} +(-0.340937 + 0.144081i) q^{90} +(-4.15712 - 0.966697i) q^{91} +(4.83926 + 12.4295i) q^{92} +(-6.64895 + 11.0260i) q^{93} +(0.340209 + 1.04706i) q^{94} +(3.02324 + 3.92060i) q^{95} +(-1.81227 + 4.65477i) q^{96} +(-1.31576 + 1.92424i) q^{97} +(-0.291484 - 2.02732i) q^{98} +(0.482329 - 3.71701i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 880 q + 4 q^{2} - q^{3} + 24 q^{4} + 22 q^{5} - 13 q^{6} + 3 q^{7} + 2 q^{8} - 217 q^{9}+O(q^{10}) $ 880 * q + 4 * q^2 - q^3 + 24 * q^4 + 22 * q^5 - 13 * q^6 + 3 * q^7 + 2 * q^8 - 217 * q^9	\( 880 q + 4 q^{2} - q^{3} + 24 q^{4} + 22 q^{5} - 13 q^{6} + 3 q^{7} + 2 q^{8} - 217 q^{9} - 6 q^{10} + 5 q^{11} - 5 q^{12} - 26 q^{13} - 108 q^{14} - 12 q^{15} + 34 q^{16} - q^{17} - 14 q^{18} + q^{19} + 19 q^{20} - 10 q^{21} + 275 q^{22} - 51 q^{23} + 283 q^{24} + 22 q^{25} - 16 q^{27} - 4 q^{28} - 19 q^{29} + q^{30} - 34 q^{31} - 122 q^{32} + 19 q^{33} + 52 q^{34} + 8 q^{35} - 21 q^{36} - 109 q^{37} - 10 q^{38} - 9 q^{39} - 64 q^{40} + 4 q^{41} - 49 q^{42} - 97 q^{43} + 17 q^{44} - 80 q^{45} - 91 q^{46} + 166 q^{47} - 159 q^{48} + 175 q^{49} + 4 q^{50} - 112 q^{51} - 128 q^{52} - 141 q^{53} - 37 q^{54} - 5 q^{55} + 79 q^{56} - 204 q^{57} - 190 q^{58} + 9 q^{59} - 22 q^{60} + 2 q^{61} - 105 q^{62} - q^{63} - 176 q^{64} - 14 q^{65} - 112 q^{66} - 13 q^{67} - 35 q^{68} - 53 q^{69} + 24 q^{70} - 50 q^{71} + 705 q^{72} + q^{73} + 40 q^{74} - q^{75} - 148 q^{76} - 104 q^{77} - 187 q^{78} - 83 q^{79} - q^{80} - 238 q^{81} - 54 q^{82} - 151 q^{83} + 4 q^{84} - 29 q^{85} - 39 q^{86} - 74 q^{87} - 143 q^{88} - 52 q^{89} - 28 q^{90} - 188 q^{91} - 253 q^{92} + 122 q^{93} - 187 q^{94} + 122 q^{95} - 155 q^{96} + 283 q^{97} - 92 q^{98} + 172 q^{99}+O(q^{100}) \) 880 * q + 4 * q^2 - q^3 + 24 * q^4 + 22 * q^5 - 13 * q^6 + 3 * q^7 + 2 * q^8 - 217 * q^9 - 6 * q^10 + 5 * q^11 - 5 * q^12 - 26 * q^13 - 108 * q^14 - 12 * q^15 + 34 * q^16 - q^17 - 14 * q^18 + q^19 + 19 * q^20 - 10 * q^21 + 275 * q^22 - 51 * q^23 + 283 * q^24 + 22 * q^25 - 16 * q^27 - 4 * q^28 - 19 * q^29 + q^30 - 34 * q^31 - 122 * q^32 + 19 * q^33 + 52 * q^34 + 8 * q^35 - 21 * q^36 - 109 * q^37 - 10 * q^38 - 9 * q^39 - 64 * q^40 + 4 * q^41 - 49 * q^42 - 97 * q^43 + 17 * q^44 - 80 * q^45 - 91 * q^46 + 166 * q^47 - 159 * q^48 + 175 * q^49 + 4 * q^50 - 112 * q^51 - 128 * q^52 - 141 * q^53 - 37 * q^54 - 5 * q^55 + 79 * q^56 - 204 * q^57 - 190 * q^58 + 9 * q^59 - 22 * q^60 + 2 * q^61 - 105 * q^62 - q^63 - 176 * q^64 - 14 * q^65 - 112 * q^66 - 13 * q^67 - 35 * q^68 - 53 * q^69 + 24 * q^70 - 50 * q^71 + 705 * q^72 + q^73 + 40 * q^74 - q^75 - 148 * q^76 - 104 * q^77 - 187 * q^78 - 83 * q^79 - q^80 - 238 * q^81 - 54 * q^82 - 151 * q^83 + 4 * q^84 - 29 * q^85 - 39 * q^86 - 74 * q^87 - 143 * q^88 - 52 * q^89 - 28 * q^90 - 188 * q^91 - 253 * q^92 + 122 * q^93 - 187 * q^94 + 122 * q^95 - 155 * q^96 + 283 * q^97 - 92 * q^98 + 172 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$122$	$486$
$\chi(n)$	$1$	$e\left(\frac{53}{55}\right)$

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 $

$2$	−0.325381	+	0.0373340i	−0.230079	+	0.0263991i	−0.228264	−	0.973599i	$-0.573305\pi$
$2$	−0.325381	+	0.0373340i	−0.230079	+	0.0263991i	−0.00181484	+	0.999998i	$0.500578\pi$
$3$	1.10628	−	0.803759i	0.638711	−	0.464050i	−0.220696	−	0.975343i	$-0.570833\pi$
$3$	1.10628	−	0.803759i	0.638711	−	0.464050i	0.859407	+	0.511292i	$0.170833\pi$
$4$	−1.84355	+	0.428698i	−0.921773	+	0.214349i
$5$	−0.564443	−	0.825472i	−0.252427	−	0.369162i
$5$	−0.564443	−	0.825472i	−0.252427	−	0.369162i
$6$	−0.329954	+	0.302829i	−0.134703	+	0.123630i
$7$	0.602100	−	0.619546i	0.227572	−	0.234166i	−0.593723	−	0.804669i	$-0.702343\pi$
$7$	0.602100	−	0.619546i	0.227572	−	0.234166i	0.821296	+	0.570503i	$0.193252\pi$
$8$	1.20079	−	0.428440i	0.424542	−	0.151476i
$9$	−0.349226	+	1.07481i	−0.116409	+	0.358269i
$10$	0.214477	+	0.247520i	0.0678236	+	0.0782726i
$11$	−3.25996	+	0.610465i	−0.982915	+	0.184062i
$11$	−3.25996	+	0.610465i	−0.982915	+	0.184062i
$12$	−1.69491	+	1.95603i	−0.489277	+	0.564656i
$13$	−2.55116	−	4.23062i	−0.707564	−	1.17336i	−0.977591	−	0.210511i	$-0.932487\pi$
$13$	−2.55116	−	4.23062i	−0.707564	−	1.17336i	0.270027	−	0.962853i	$-0.412967\pi$
$14$	−0.172782	+	0.224067i	−0.0461778	+	0.0598845i
$15$	−1.28791	−	0.459526i	−0.332538	−	0.118649i
$16$	3.02235	−	1.48599i	0.755589	−	0.371498i
$17$	−0.489602	−	0.400345i	−0.118746	−	0.0970980i	0.571775	−	0.820410i	$-0.306255\pi$
$17$	−0.489602	−	0.400345i	−0.118746	−	0.0970980i	−0.690521	+	0.723312i	$0.742619\pi$
$18$	0.0735045	−	0.362759i	0.0173252	−	0.0855031i
$19$	−4.94279	+	0.282639i	−1.13395	+	0.0648418i	−0.613967	−	0.789332i	$-0.710427\pi$
$19$	−4.94279	+	0.282639i	−1.13395	+	0.0648418i	−0.519987	+	0.854174i	$0.674063\pi$
$20$	1.39445	+	1.27982i	0.311810	+	0.286176i
$21$	0.168125	−	1.16933i	0.0366879	−	0.255170i
$22$	1.03794	−	0.320341i	0.221289	−	0.0682969i
$23$	−1.00291	−	6.97541i	−0.209122	−	1.45447i	−0.776032	−	0.630694i	$-0.782771\pi$
$23$	−1.00291	−	6.97541i	−0.209122	−	1.45447i	0.566910	−	0.823779i	$-0.308139\pi$
$24$	0.984043	−	1.43912i	0.200867	−	0.293758i
$25$	−0.362808	+	0.931864i	−0.0725615	+	0.186373i
$26$	0.988044	+	1.28132i	0.193771	+	0.251287i
$27$	1.74523	+	5.37126i	0.335869	+	1.03370i
$28$	−0.844400	+	1.40028i	−0.159577	+	0.264628i
$29$	1.77475	+	4.55842i	0.329564	+	0.846477i	0.994986	+	0.100011i	$0.0318877\pi$
$29$	1.77475	+	4.55842i	0.329564	+	0.846477i	−0.665423	+	0.746467i	$0.731749\pi$
$30$	0.436218	+	0.101438i	0.0796421	+	0.0185200i
$31$	−8.67321	+	3.66533i	−1.55775	+	0.658312i	−0.986693	−	0.162595i	$-0.948014\pi$
$31$	−8.67321	+	3.66533i	−1.55775	+	0.658312i	−0.571061	+	0.820908i	$0.693468\pi$
$32$	−3.07302	+	1.97491i	−0.543238	+	0.349118i
$33$	−3.11576	+	3.29557i	−0.542384	+	0.573684i
$34$	0.174253	+	0.111986i	0.0298842	+	0.0192054i
$35$	−0.851269	−	0.147318i	−0.143891	−	0.0249013i
$36$	0.183046	−	2.13117i	0.0305077	−	0.355194i
$37$	−0.534010	−	6.21737i	−0.0877908	−	1.02213i	−0.899167	−	0.437605i	$-0.855827\pi$
$37$	−0.534010	−	6.21737i	−0.0877908	−	1.02213i	0.811376	−	0.584524i	$-0.198719\pi$
$38$	1.59774	−	0.276499i	0.259187	−	0.0448541i
$39$	−6.22270	−	2.62973i	−0.996429	−	0.421094i
$40$	−1.03144	−	0.749385i	−0.163085	−	0.118488i
$41$	−5.07883	−	2.86814i	−0.793179	−	0.447929i	0.0411787	−	0.999152i	$-0.486889\pi$
$41$	−5.07883	−	2.86814i	−0.793179	−	0.447929i	−0.834358	+	0.551223i	$0.814161\pi$
$42$	−0.0110487	+	0.386756i	−0.00170485	+	0.0596777i
$43$	−3.38606	−	0.994238i	−0.516370	−	0.151620i	0.0131564	−	0.999913i	$-0.495812\pi$
$43$	−3.38606	−	0.994238i	−0.516370	−	0.151620i	−0.529526	+	0.848294i	$0.677630\pi$
$44$	5.74818	−	2.52296i	0.866570	−	0.380350i
$45$	1.08434	−	0.318391i	0.161644	−	0.0474629i
$46$	0.586748	+	2.23222i	0.0865112	+	0.329123i
$47$	−0.667560	−	3.29454i	−0.0973736	−	0.480558i	−0.998859	−	0.0477489i	$-0.984795\pi$
$47$	−0.667560	−	3.29454i	−0.0973736	−	0.480558i	0.901486	−	0.432809i	$-0.142477\pi$
$48$	2.14919	−	4.07317i	0.310209	−	0.587911i
$49$	0.178579	+	6.25109i	0.0255113	+	0.893013i
$50$	0.0832605	−	0.316756i	0.0117748	−	0.0447960i
$51$	−0.863417	−	0.0493720i	−0.120903	−	0.00691346i
$52$	6.51684	+	6.70567i	0.903723	+	0.929909i
$53$	−9.32119	−	4.58292i	−1.28036	−	0.629512i	−0.330982	−	0.943637i	$-0.607380\pi$
$53$	−9.32119	−	4.58292i	−1.28036	−	0.629512i	−0.949382	+	0.314125i	$0.898289\pi$
$54$	−0.768393	−	1.68255i	−0.104565	−	0.228966i
$55$	2.34398	+	2.34643i	0.316063	+	0.316393i
$56$	0.457555	−	1.00191i	0.0611434	−	0.133885i
$57$	−5.24093	+	4.28549i	−0.694179	+	0.567627i
$58$	−0.747655	−	1.41696i	−0.0981719	−	0.186056i
$59$	5.27417	−	2.97846i	0.686638	−	0.387763i	−0.108578	−	0.994088i	$-0.534630\pi$
$59$	5.27417	−	2.97846i	0.686638	−	0.387763i	0.795217	+	0.606325i	$0.207357\pi$
$60$	2.57132	+	0.295032i	0.331956	+	0.0380884i
$61$	6.49853	+	0.745637i	0.832052	+	0.0954691i	0.519541	−	0.854445i	$-0.326103\pi$
$61$	6.49853	+	0.745637i	0.832052	+	0.0954691i	0.312510	+	0.949914i	$0.398830\pi$
$62$	2.68525	−	1.51643i	0.341027	−	0.192587i
$63$	0.455623	+	0.863502i	0.0574031	+	0.108791i
$64$	−4.28831	+	3.50653i	−0.536038	+	0.438316i
$65$	−2.05228	+	4.49386i	−0.254553	+	0.557394i
$66$	0.890771	−	1.18864i	0.109646	−	0.146311i
$67$	5.93481	+	12.9954i	0.725053	+	1.58764i	0.806685	+	0.590982i	$0.201259\pi$
$67$	5.93481	+	12.9954i	0.725053	+	1.58764i	−0.0816321	+	0.996663i	$0.526013\pi$
$68$	1.07423	+	0.528163i	0.130270	+	0.0640492i
$69$	−6.71605	−	6.91065i	−0.808517	−	0.831944i
$70$	0.282487	+	0.0161532i	0.0337636	+	0.00193067i
$71$	0.575431	−	2.18917i	0.0682911	−	0.259806i	−0.924238	−	0.381818i	$-0.875298\pi$
$71$	0.575431	−	2.18917i	0.0682911	−	0.259806i	0.992529	+	0.122012i	$0.0389345\pi$
$72$	0.0411442	+	1.44023i	0.00484889	+	0.169733i
$73$	5.66598	−	10.7382i	0.663153	−	1.25681i	−0.290779	−	0.956790i	$-0.593914\pi$
$73$	5.66598	−	10.7382i	0.663153	−	1.25681i	0.953932	−	0.300024i	$-0.0969946\pi$
$74$	0.405876	+	2.00308i	0.0471821	+	0.232853i
$75$	0.347627	+	1.32251i	0.0401406	+	0.152711i
$76$	8.99109	−	2.64002i	1.03135	−	0.302831i
$77$	−1.58461	+	2.38726i	−0.180583	+	0.272053i
$78$	2.12292	+	0.623347i	0.240374	+	0.0705801i
$79$	0.475008	−	16.6275i	0.0534426	−	1.87074i	−0.325800	−	0.945439i	$-0.605634\pi$
$79$	0.475008	−	16.6275i	0.0534426	−	1.87074i	0.379243	−	0.925297i	$-0.376185\pi$
$80$	−2.93259	−	1.65611i	−0.327874	−	0.185159i
$81$	3.50505	+	2.54657i	0.389450	+	0.282952i
$82$	1.75963	+	0.743626i	0.194319	+	0.0821198i
$83$	15.4551	−	2.67460i	1.69641	−	0.293576i	0.761424	−	0.648254i	$-0.224501\pi$
$83$	15.4551	−	2.67460i	1.69641	−	0.293576i	0.934988	+	0.354678i	$0.115410\pi$
$84$	0.191346	+	2.22780i	0.0208775	+	0.243072i
$85$	−0.0541215	+	0.630125i	−0.00587030	+	0.0683466i
$86$	1.13888	+	0.197091i	0.122808	+	0.0212528i
$87$	5.62724	+	3.61641i	0.603304	+	0.387720i
$88$	−3.65297	+	2.12973i	−0.389408	+	0.227030i
$89$	−0.710388	+	0.456539i	−0.0753010	+	0.0483930i	−0.577750	−	0.816214i	$-0.696069\pi$
$89$	−0.710388	+	0.456539i	−0.0753010	+	0.0483930i	0.502449	+	0.864607i	$0.332433\pi$
$90$	−0.340937	+	0.144081i	−0.0359379	+	0.0151875i
$91$	−4.15712	−	0.966697i	−0.435785	−	0.101337i
$92$	4.83926	+	12.4295i	0.504527	+	1.29587i
$93$	−6.64895	+	11.0260i	−0.689464	+	1.14335i
$94$	0.340209	+	1.04706i	0.0350899	+	0.107996i
$95$	3.02324	+	3.92060i	0.310177	+	0.402245i
$96$	−1.81227	+	4.65477i	−0.184964	+	0.475075i
$97$	−1.31576	+	1.92424i	−0.133595	+	0.195377i	−0.886469	−	0.462788i	$-0.846849\pi$
$97$	−1.31576	+	1.92424i	−0.133595	+	0.195377i	0.752874	+	0.658165i	$0.228667\pi$
$98$	−0.291484	−	2.02732i	−0.0294443	−	0.204790i
$99$	0.482329	−	3.71701i	0.0484759	−	0.373574i
$100$	0.269364	−	1.87347i	0.0269364	−	0.187347i
$101$	−2.48007	−	2.27619i	−0.246776	−	0.226489i	0.543236	−	0.839580i	$-0.317199\pi$
$101$	−2.48007	−	2.27619i	−0.246776	−	0.226489i	−0.790012	+	0.613091i	$0.789926\pi$
$102$	0.282783	−	0.0161701i	0.0279996	−	0.00160108i
$103$	−0.914190	+	4.51171i	−0.0900778	+	0.444552i	0.909506	+	0.415692i	$0.136460\pi$
$103$	−0.914190	+	4.51171i	−0.0900778	+	0.444552i	−0.999583	+	0.0288600i	$0.990812\pi$
$104$	−4.87596	−	3.98706i	−0.478128	−	0.390963i
$105$	−1.06015	+	0.521240i	−0.103460	+	0.0508679i
$106$	3.20403	+	1.14320i	0.311203	+	0.111037i
$107$	−2.93473	+	3.80582i	−0.283711	+	0.367922i	−0.912094	−	0.409981i	$-0.865535\pi$
$107$	−2.93473	+	3.80582i	−0.283711	+	0.367922i	0.628383	+	0.777904i	$0.283717\pi$
$108$	−5.52005	−	9.15398i	−0.531167	−	0.880842i
$109$	−2.45583	+	2.83417i	−0.235225	+	0.271465i	−0.861074	−	0.508480i	$-0.830207\pi$
$109$	−2.45583	+	2.83417i	−0.235225	+	0.271465i	0.625848	+	0.779945i	$0.284753\pi$
$110$	−0.850289	−	0.675973i	−0.0810718	−	0.0644515i
$111$	−5.58803	−	6.44893i	−0.530393	−	0.612106i
$112$	0.899119	−	2.76720i	0.0849588	−	0.261476i
$113$	5.65778	−	2.01869i	0.532240	−	0.189903i	−0.0562362	−	0.998417i	$-0.517910\pi$
$113$	5.65778	−	2.01869i	0.532240	−	0.189903i	0.588476	+	0.808515i	$0.299728\pi$
$114$	1.54530	−	1.59008i	0.144731	−	0.148925i
$115$	−5.19192	+	4.76510i	−0.484149	+	0.444348i
$116$	−5.22603	−	7.64282i	−0.485224	−	0.709618i
$117$	5.43803	−	1.26456i	0.502746	−	0.116909i
$118$	−1.60492	+	1.16604i	−0.147744	+	0.107343i
$119$	−0.542822	+	0.0622830i	−0.0497604	+	0.00570947i
$120$	−1.74339			−0.159149
$121$	10.2547	−	3.98018i	0.932242	−	0.361835i
$122$	−2.14233			−0.193958
$123$	−7.92390	+	0.909182i	−0.714474	+	0.0819782i
$124$	14.4181	−	10.4754i	1.29479	−	0.940717i
$125$	0.974012	−	0.226497i	0.0871183	−	0.0202585i
$126$	−0.180489	−	0.263957i	−0.0160792	−	0.0235151i
$127$	−9.21196	+	8.45466i	−0.817429	+	0.750230i	−0.971299	−	0.237861i	$-0.923554\pi$
$127$	−9.21196	+	8.45466i	−0.817429	+	0.750230i	0.153870	+	0.988091i	$0.450826\pi$
$128$	6.35611	−	6.54028i	0.561806	−	0.578085i
$129$	−4.54506	+	1.62167i	−0.400170	+	0.142780i
$130$	0.499997	−	1.53883i	0.0438527	−	0.134965i
$131$	−7.22967	−	8.34348i	−0.631659	−	0.728973i	0.346218	−	0.938154i	$-0.387466\pi$
$131$	−7.22967	−	8.34348i	−0.631659	−	0.728973i	−0.977877	+	0.209181i	$0.932920\pi$
$132$	4.33124	−	7.41124i	0.376986	−	0.645066i
$133$	−2.80095	+	3.23246i	−0.242873	+	0.280290i
$134$	−2.41624	−	4.00689i	−0.208732	−	0.346143i
$135$	3.44874	−	4.47241i	0.296820	−	0.384923i
$136$	−0.759431	−	0.270964i	−0.0651207	−	0.0232350i
$137$	9.59589	−	4.71798i	0.819832	−	0.403084i	0.0174154	−	0.999848i	$-0.494456\pi$
$137$	9.59589	−	4.71798i	0.819832	−	0.403084i	0.802417	+	0.596764i	$0.203547\pi$
$138$	2.44327	+	1.99786i	0.207985	+	0.170069i
$139$	−1.48676	+	7.33745i	−0.126105	+	0.622354i	0.866318	+	0.499492i	$0.166480\pi$
$139$	−1.48676	+	7.33745i	−0.126105	+	0.622354i	−0.992424	+	0.122862i	$0.960793\pi$
$140$	1.63251	−	0.0933502i	0.137972	−	0.00788953i
$141$	−3.38652	−	3.10812i	−0.285196	−	0.261751i
$142$	−0.105504	+	0.733795i	−0.00885368	+	0.0615787i
$143$	10.8993	+	12.2343i	0.911447	+	1.02308i
$144$	0.541669	+	3.76739i	0.0451391	+	0.313949i
$145$	2.76110	−	4.03798i	0.229297	−	0.335336i
$146$	−1.44270	+	3.70554i	−0.119399	+	0.306673i
$147$	5.22193	+	6.77191i	0.430697	+	0.558538i
$148$	3.64985	+	11.2331i	0.300016	+	0.923353i
$149$	10.0164	−	16.6103i	0.820576	−	1.36077i	−0.109721	−	0.993962i	$-0.534996\pi$
$149$	10.0164	−	16.6103i	0.820576	−	1.36077i	0.930296	−	0.366809i	$-0.119550\pi$
$150$	−0.162486	−	0.417342i	−0.0132669	−	0.0340758i
$151$	20.9468	+	4.87098i	1.70463	+	0.396394i	0.961944	−	0.273247i	$-0.0880976\pi$
$151$	20.9468	+	4.87098i	1.70463	+	0.396394i	0.742685	+	0.669641i	$0.233552\pi$
$152$	−5.81414	+	2.45708i	−0.471589	+	0.199295i
$153$	0.601275	−	0.386416i	0.0486102	−	0.0312399i
$154$	0.426476	−	0.835927i	0.0343664	−	0.0673609i
$155$	7.92116	+	5.09062i	0.636243	+	0.408888i
$156$	12.5992	+	2.18037i	1.00874	+	0.174570i
$157$	−0.960851	+	11.1870i	−0.0766842	+	0.892818i	0.852386	+	0.522914i	$0.175155\pi$
$157$	−0.960851	+	11.1870i	−0.0766842	+	0.892818i	−0.929070	+	0.369904i	$0.879390\pi$
$158$	0.466211	+	5.42799i	0.0370897	+	0.431828i
$159$	−13.9954	+	2.42200i	−1.10991	+	0.192077i
$160$	3.36478	+	1.42197i	0.266009	+	0.112416i
$161$	−4.92544	−	3.57854i	−0.388179	−	0.282029i
$162$	−1.23555	−	0.697747i	−0.0970739	−	0.0548202i
$163$	−0.478682	+	16.7560i	−0.0374932	+	1.31243i	0.735285	+	0.677758i	$0.237048\pi$
$163$	−0.478682	+	16.7560i	−0.0374932	+	1.31243i	−0.772778	+	0.634677i	$0.781133\pi$
$164$	10.5926	+	3.11027i	0.827144	+	0.242871i
$165$	4.47907	+	0.711811i	0.348695	+	0.0554144i
$166$	−4.92892	+	1.44726i	−0.382559	+	0.112329i
$167$	−3.85865	−	14.6798i	−0.298591	−	1.13596i	−0.932093	−	0.362218i	$-0.882019\pi$
$167$	−3.85865	−	14.6798i	−0.298591	−	1.13596i	0.633502	−	0.773741i	$-0.281617\pi$
$168$	−0.299107	−	1.47615i	−0.0230766	−	0.113888i
$169$	−5.32308	+	10.0884i	−0.409468	+	0.776028i
$170$	−0.00591497	−	0.207051i	−0.000453658	−	0.0158801i
$171$	1.42237	−	5.41125i	0.108771	−	0.413808i
$172$	6.66859	+	0.381324i	0.508475	+	0.0290757i
$173$	5.99572	+	6.16945i	0.455846	+	0.469054i	0.905621	−	0.424087i	$-0.139405\pi$
$173$	5.99572	+	6.16945i	0.455846	+	0.469054i	−0.449775	+	0.893142i	$0.648496\pi$
$174$	−1.96601	−	0.966623i	−0.149043	−	0.0732795i
$175$	0.358886	+	0.785851i	0.0271293	+	0.0594048i
$176$	−8.94561	+	6.68932i	−0.674300	+	0.504226i
$177$	3.44074	−	7.53417i	0.258622	−	0.566303i
$178$	0.214102	−	0.175071i	0.0160476	−	0.0131221i
$179$	−2.34943	−	4.45266i	−0.175604	−	0.332808i	0.780835	−	0.624737i	$-0.214794\pi$
$179$	−2.34943	−	4.45266i	−0.175604	−	0.332808i	−0.956440	+	0.291929i	$0.905703\pi$
$180$	−1.86254	+	1.05182i	−0.138825	+	0.0783982i
$181$	−10.8406	−	1.24384i	−0.805773	−	0.0924538i	−0.298689	−	0.954350i	$-0.596549\pi$
$181$	−10.8406	−	1.24384i	−0.805773	−	0.0924538i	−0.507084	+	0.861897i	$0.669277\pi$
$182$	1.38874	+	0.159343i	0.102940	+	0.0118113i
$183$	7.78851	−	4.39837i	0.575743	−	0.325137i
$184$	−4.19282	−	7.94629i	−0.309099	−	0.585808i
$185$	−4.83085	+	3.95016i	−0.355171	+	0.290422i
$186$	1.75179	−	3.83589i	0.128448	−	0.281261i
$187$	1.84048	+	1.00622i	0.134589	+	0.0735824i
$188$	2.64304	+	5.78745i	0.192763	+	0.422093i
$189$	4.37854	+	2.15278i	0.318492	+	0.156592i
$190$	−1.13007	−	1.16282i	−0.0819842	−	0.0843597i
$191$	17.3075	+	0.989677i	1.25232	+	0.0716105i	0.670627	−	0.741795i	$-0.266025\pi$
$191$	17.3075	+	0.989677i	1.25232	+	0.0716105i	0.581698	+	0.813405i	$0.302389\pi$
$192$	−1.92566	+	7.32596i	−0.138972	+	0.528706i
$193$	−0.367297	−	12.8571i	−0.0264386	−	0.925472i	−0.899255	−	0.437424i	$-0.855891\pi$
$193$	−0.367297	−	12.8571i	−0.0264386	−	0.925472i	0.872817	−	0.488048i	$-0.162291\pi$
$194$	0.356284	−	0.675233i	0.0255797	−	0.0484789i
$195$	1.34159	+	6.62100i	0.0960731	+	0.474139i
$196$	−3.00905	−	11.4476i	−0.214932	−	0.817686i
$197$	−2.77095	+	0.813624i	−0.197422	+	0.0579683i	−0.378949	−	0.925418i	$-0.623714\pi$
$197$	−2.77095	+	0.813624i	−0.197422	+	0.0579683i	0.181527	+	0.983386i	$0.441896\pi$
$198$	−0.0181698	+	1.22745i	−0.00129127	+	0.0872312i
$199$	−8.47819	−	2.48942i	−0.601003	−	0.176470i	−0.0329425	−	0.999457i	$-0.510488\pi$
$199$	−8.47819	−	2.48942i	−0.601003	−	0.176470i	−0.568060	+	0.822987i	$0.692306\pi$
$200$	−0.0364070	+	1.27441i	−0.00257436	+	0.0901145i
$201$	17.0108	+	9.60641i	1.19985	+	0.677584i
$202$	0.891945	+	0.648036i	0.0627571	+	0.0455957i
$203$	3.89273	+	1.64508i	0.273216	+	0.115462i
$204$	1.61291	−	0.279126i	0.112927	−	0.0195427i
$205$	0.499136	+	5.81133i	0.0348612	+	0.405881i
$206$	0.129020	−	1.50215i	0.00898925	−	0.104660i
$207$	7.84745	+	1.35806i	0.545436	+	0.0943914i
$208$	−13.9972	−	8.99544i	−0.970530	−	0.623722i
$209$	15.9408	−	3.93879i	1.10265	−	0.272452i
$210$	0.325492	−	0.209181i	0.0224611	−	0.0144349i
$211$	−22.2466	+	9.40151i	−1.53152	+	0.647227i	−0.982107	−	0.188323i	$-0.939695\pi$
$211$	−22.2466	+	9.40151i	−1.53152	+	0.647227i	−0.549415	+	0.835550i	$0.685149\pi$
$212$	19.1487	+	4.45284i	1.31514	+	0.305823i
$213$	−1.12297	−	2.88434i	−0.0769449	−	0.197631i
$214$	0.812817	−	1.34791i	0.0555630	−	0.0921409i
$215$	1.09053	+	3.35629i	0.0743732	+	0.228897i
$216$	4.39690	+	5.70201i	0.299171	+	0.387972i
$217$	−2.95130	+	7.58035i	−0.200347	+	0.514587i
$218$	0.693267	−	1.01387i	0.0469540	−	0.0686680i
$219$	−2.36279	−	16.4336i	−0.159662	−	1.11048i
$220$	−5.32715	−	3.32089i	−0.359156	−	0.223894i
$221$	−0.444658	+	3.09266i	−0.0299109	+	0.208035i
$222$	2.05900	+	1.88974i	0.138191	+	0.126831i
$223$	−26.4405	+	1.51192i	−1.77059	+	0.101246i	−0.911685	−	0.410890i	$-0.865218\pi$
$223$	−26.4405	+	1.51192i	−1.77059	+	0.101246i	−0.858905	+	0.512136i	$0.828855\pi$
$224$	−0.626717	+	3.09297i	−0.0418743	+	0.206658i
$225$	−0.874871	−	0.715379i	−0.0583248	−	0.0476919i
$226$	−1.76557	+	0.868071i	−0.117444	+	0.0577433i
$227$	−11.1569	−	3.98077i	−0.740509	−	0.264213i	−0.0612607	−	0.998122i	$-0.519512\pi$
$227$	−11.1569	−	3.98077i	−0.740509	−	0.264213i	−0.679248	+	0.733909i	$0.737694\pi$
$228$	7.82472	−	10.1473i	0.518204	−	0.672019i
$229$	7.24650	+	12.0170i	0.478862	+	0.794104i	0.998169	−	0.0604839i	$-0.0192644\pi$
$229$	7.24650	+	12.0170i	0.478862	+	0.794104i	−0.519307	+	0.854588i	$0.673810\pi$
$230$	1.51145	−	1.74431i	0.0996620	−	0.115016i
$231$	0.165758	+	3.91462i	0.0109061	+	0.257563i
$232$	4.08411	+	4.71331i	0.268135	+	0.309444i
$233$	3.28748	−	10.1178i	0.215370	−	0.662840i	−0.783757	−	0.621067i	$-0.786699\pi$
$233$	3.28748	−	10.1178i	0.215370	−	0.662840i	0.999127	−	0.0417727i	$-0.0133005\pi$
$234$	−1.72222	+	0.614486i	−0.112585	+	0.0401702i
$235$	−2.34275	+	2.41063i	−0.152824	+	0.157252i
$236$	−8.44631	+	7.75195i	−0.549808	+	0.504609i
$237$	−12.8390	−	18.7764i	−0.833981	−	1.21966i
$238$	0.174298	−	0.0405314i	0.0112981	−	0.00262726i
$239$	21.8342	−	15.8635i	1.41234	−	1.02612i	0.419360	−	0.907820i	$-0.362254\pi$
$239$	21.8342	−	15.8635i	1.41234	−	1.02612i	0.992977	−	0.118304i	$-0.0377456\pi$
$240$	−4.57538	+	0.524976i	−0.295340	+	0.0338871i
$241$	−8.61495			−0.554938			−0.277469	−	0.960735i	$-0.589496\pi$
$241$	−8.61495			−0.554938			−0.277469	+	0.960735i	$0.589496\pi$
$242$	−3.18807	+	1.67792i	−0.204937	+	0.107861i
$243$	−11.0186			−0.706845
$244$	−12.3000	+	1.41129i	−0.787426	+	0.0903488i
$245$	5.05930	−	3.67580i	0.323227	−	0.234838i
$246$	2.54434	−	0.591661i	0.162221	−	0.0377229i
$247$	13.8056	+	20.1900i	0.878428	+	1.28466i
$248$	−8.84430	+	8.11722i	−0.561613	+	0.515444i
$249$	14.9479	−	15.3810i	0.947283	−	0.974731i
$250$	−0.308469	+	0.110061i	−0.0195093	+	0.00696089i
$251$	−7.34448	+	22.6040i	−0.463579	+	1.42675i	0.397181	+	0.917740i	$0.369989\pi$
$251$	−7.34448	+	22.6040i	−0.463579	+	1.42675i	−0.860760	+	0.509010i	$0.830011\pi$
$252$	−1.21014	−	1.39658i	−0.0762319	−	0.0879763i
$253$	7.52770	+	22.1273i	0.473262	+	1.39113i
$254$	2.68175	−	3.09490i	0.168268	−	0.194191i
$255$	0.446595	+	0.740594i	0.0279669	+	0.0463778i
$256$	4.94130	−	6.40800i	0.308832	−	0.400500i
$257$	4.76604	+	1.70052i	0.297297	+	0.106075i	0.480486	−	0.877002i	$-0.340460\pi$
$257$	4.76604	+	1.70052i	0.297297	+	0.106075i	−0.183189	+	0.983078i	$0.558642\pi$
$258$	1.41833	−	0.697346i	0.0883014	−	0.0434149i
$259$	−4.17348	−	3.41263i	−0.259327	−	0.212051i
$260$	1.85696	−	9.16443i	0.115163	−	0.568354i
$261$	−5.51921	+	0.315600i	−0.341630	+	0.0195351i
$262$	2.66389	+	2.44490i	0.164576	+	0.151046i
$263$	0.296536	−	2.06245i	0.0182852	−	0.127176i	−0.978634	−	0.205609i	$-0.934083\pi$
$263$	0.296536	−	2.06245i	0.0182852	−	0.127176i	0.996919	+	0.0784328i	$0.0249916\pi$
$264$	−2.32941	+	5.29219i	−0.143365	+	0.325711i
$265$	1.47821	+	10.2812i	0.0908057	+	0.631568i
$266$	0.790693	−	1.15635i	0.0484805	−	0.0709005i
$267$	−0.418941	+	1.07604i	−0.0256388	+	0.0658526i
$268$	−16.5122	−	21.4134i	−1.00864	−	1.30803i
$269$	−5.97979	−	18.4039i	−0.364594	−	1.12211i	−0.950235	−	0.311535i	$-0.899157\pi$
$269$	−5.97979	−	18.4039i	−0.364594	−	1.12211i	0.585641	−	0.810571i	$-0.300843\pi$
$270$	−0.955181	+	1.58399i	−0.0581305	+	0.0963985i
$271$	−7.08714	−	18.2032i	−0.430513	−	1.10576i	−0.965385	−	0.260830i	$-0.916004\pi$
$271$	−7.08714	−	18.2032i	−0.430513	−	1.10576i	0.534872	−	0.844933i	$-0.320360\pi$
$272$	−2.07466	−	0.482442i	−0.125795	−	0.0292523i
$273$	−5.37593	+	2.27189i	−0.325366	+	0.137501i
$274$	−2.94618	+	1.89339i	−0.177985	+	0.114384i
$275$	0.613867	−	3.25932i	0.0370176	−	0.196544i
$276$	15.3439	+	9.86094i	0.923595	+	0.593559i
$277$	−10.0774	−	1.74395i	−0.605489	−	0.104784i	−0.140471	−	0.990085i	$-0.544862\pi$
$277$	−10.0774	−	1.74395i	−0.605489	−	0.104784i	−0.465019	+	0.885301i	$0.653952\pi$
$278$	0.209827	−	2.44297i	0.0125846	−	0.146520i
$279$	−0.910610	−	10.6020i	−0.0545168	−	0.634728i
$280$	−1.08531	+	0.187820i	−0.0648596	+	0.0112244i
$281$	−26.3362	−	11.1298i	−1.57108	−	0.663945i	−0.582255	−	0.813006i	$-0.697830\pi$
$281$	−26.3362	−	11.1298i	−1.57108	−	0.663945i	−0.988828	+	0.149060i	$0.952375\pi$
$282$	1.21795	+	0.884890i	0.0725277	+	0.0526944i
$283$	−6.99736	−	3.95159i	−0.415950	−	0.234898i	0.269526	−	0.962993i	$-0.413133\pi$
$283$	−6.99736	−	3.95159i	−0.415950	−	0.234898i	−0.685476	+	0.728096i	$0.740406\pi$
$284$	−0.122341	+	4.28251i	−0.00725963	+	0.254120i
$285$	6.49576	+	1.90733i	0.384776	+	0.112980i
$286$	−4.00318	−	3.57388i	−0.236713	−	0.211328i
$287$	−4.83491	+	1.41966i	−0.285396	+	0.0837997i
$288$	−1.04947	−	3.99259i	−0.0618404	−	0.235265i
$289$	−3.29660	−	16.2694i	−0.193918	−	0.957023i
$290$	−0.747655	+	1.41696i	−0.0439038	+	0.0832070i
$291$	0.0910252	+	3.18630i	0.00533599	+	0.186784i
$292$	−5.84203	+	22.2254i	−0.341879	+	1.30064i
$293$	4.38245	+	0.250597i	0.256025	+	0.0146401i	0.184630	−	0.982808i	$-0.440891\pi$
$293$	4.38245	+	0.250597i	0.256025	+	0.0146401i	0.0713951	+	0.997448i	$0.477255\pi$
$294$	−1.95194	−	2.00850i	−0.113839	−	0.117138i
$295$	−5.43560	−	2.67251i	−0.316473	−	0.155599i
$296$	−3.30500	−	7.23694i	−0.192099	−	0.420639i
$297$	−8.96833	−	16.4447i	−0.520396	−	0.954217i
$298$	−2.63901	+	5.77863i	−0.152874	+	0.334747i
$299$	−26.9517	+	22.0383i	−1.55866	+	1.27451i
$300$	−1.20782	−	2.28908i	−0.0697338	−	0.132160i
$301$	−2.65473	+	1.49919i	−0.153016	+	0.0864120i
$302$	−6.99755	−	0.802894i	−0.402664	−	0.0462013i
$303$	−4.57315	−	0.524720i	−0.262721	−	0.0301444i
$304$	−14.5189	+	8.19918i	−0.832714	+	0.470255i
$305$	−3.05255	−	5.78523i	−0.174789	−	0.331261i
$306$	−0.181217	+	0.148180i	−0.0103595	+	0.00847090i
$307$	7.43270	−	16.2753i	0.424207	−	0.928883i	−0.570025	−	0.821627i	$-0.693066\pi$
$307$	7.43270	−	16.2753i	0.424207	−	0.928883i	0.994231	−	0.107256i	$-0.0342063\pi$
$308$	1.89789	−	5.08033i	0.108142	−	0.289479i
$309$	2.61497	+	5.72599i	0.148761	+	0.325740i
$310$	−2.76744	−	1.36066i	−0.157180	−	0.0772804i
$311$	−6.09757	−	6.27425i	−0.345761	−	0.355780i	0.521837	−	0.853045i	$-0.325247\pi$
$311$	−6.09757	−	6.27425i	−0.345761	−	0.355780i	−0.867599	+	0.497265i	$0.834338\pi$
$312$	−8.59881	−	0.491698i	−0.486812	−	0.0278369i
$313$	−4.29359	+	16.3345i	−0.242688	+	0.923281i	0.728516	+	0.685029i	$0.240211\pi$
$313$	−4.29359	+	16.3345i	−0.242688	+	0.923281i	−0.971204	+	0.238251i	$0.923426\pi$
$314$	−0.105012	−	3.67590i	−0.00592617	−	0.207443i
$315$	0.455623	−	0.863502i	0.0256715	−	0.0486528i
$316$	6.25246	+	30.8571i	0.351728	+	1.73585i
$317$	−5.59663	−	21.2918i	−0.314338	−	1.19587i	−0.917333	−	0.398121i	$-0.869662\pi$
$317$	−5.59663	−	21.2918i	−0.314338	−	1.19587i	0.602995	−	0.797745i	$-0.293974\pi$
$318$	4.46341	−	1.31058i	0.250296	−	0.0734934i
$319$	−8.56838	−	13.7768i	−0.479737	−	0.771355i
$320$	5.31505	+	1.56064i	0.297120	+	0.0872423i
$321$	−0.187664	+	6.56911i	−0.0104744	+	0.366652i
$322$	1.73624	+	0.980502i	0.0967571	+	0.0546413i
$323$	2.53315	+	1.84044i	0.140948	+	0.102405i
$324$	−7.55343	−	3.19210i	−0.419635	−	0.177339i
$325$	4.86795	−	0.842431i	0.270025	−	0.0467297i
$326$	−0.469816	−	5.46997i	−0.0260207	−	0.302953i
$327$	−0.438836	+	5.10928i	−0.0242677	+	0.282544i
$328$	−7.32741	−	1.26806i	−0.404589	−	0.0700168i
$329$	−2.44306	−	1.57006i	−0.134690	−	0.0865600i
$330$	−1.48398	−	0.0643882i	−0.0816902	−	0.00354445i
$331$	−8.27603	+	5.31868i	−0.454892	+	0.292341i	−0.747952	−	0.663753i	$-0.768963\pi$
$331$	−8.27603	+	5.31868i	−0.454892	+	0.292341i	0.293060	+	0.956094i	$0.405326\pi$
$332$	−27.3455	+	11.5563i	−1.50078	+	0.634234i
$333$	6.86896	+	1.59731i	0.376417	+	0.0875319i
$334$	1.80359	+	4.63248i	0.0986879	+	0.253478i
$335$	7.37750	−	12.2342i	0.403076	−	0.668426i
$336$	−1.22949	−	3.78398i	−0.0670741	−	0.206433i
$337$	3.37027	+	4.37064i	0.183590	+	0.238084i	0.874699	−	0.484667i	$-0.161059\pi$
$337$	3.37027	+	4.37064i	0.183590	+	0.238084i	−0.691109	+	0.722751i	$0.742877\pi$
$338$	1.35539	−	3.48129i	0.0737235	−	0.189357i
$339$	4.63655	−	6.78073i	0.251823	−	0.368279i
$340$	−0.170358	−	1.18486i	−0.00923895	−	0.0642583i
$341$	26.0367	−	17.2435i	1.40997	−	0.933788i
$342$	−0.260788	+	1.81382i	−0.0141018	+	0.0980800i
$343$	8.43577	+	7.74228i	0.455489	+	0.418044i
$344$	−4.49191	+	0.256857i	−0.242188	+	0.0138488i
$345$	−1.91372	+	9.44458i	−0.103031	+	0.508479i
$346$	−2.18122	−	1.78358i	−0.117263	−	0.0958856i
$347$	6.81372	−	3.35008i	0.365780	−	0.179842i	−0.249071	−	0.968485i	$-0.580125\pi$
$347$	6.81372	−	3.35008i	0.365780	−	0.179842i	0.614851	+	0.788643i	$0.289216\pi$
$348$	−11.9244	−	4.25463i	−0.639216	−	0.228072i
$349$	5.81006	−	7.53461i	0.311005	−	0.403319i	−0.610293	−	0.792176i	$-0.708948\pi$
$349$	5.81006	−	7.53461i	0.311005	−	0.403319i	0.921298	+	0.388857i	$0.127130\pi$
$350$	−0.146114	−	0.242302i	−0.00781010	−	0.0129516i
$351$	18.2714	−	21.0863i	0.975256	−	1.12550i
$352$	8.81230	−	8.31409i	0.469697	−	0.443143i
$353$	9.19299	+	10.6093i	0.489294	+	0.564675i	0.945677	−	0.325108i	$-0.105401\pi$
$353$	9.19299	+	10.6093i	0.489294	+	0.564675i	−0.456383	+	0.889783i	$0.650855\pi$
$354$	−0.838270	+	2.57993i	−0.0445536	+	0.137122i
$355$	−2.13189	+	0.760658i	−0.113149	+	0.0403715i
$356$	1.11392	−	1.14619i	0.0590374	−	0.0607480i
$357$	−0.550452	+	0.505200i	−0.0291330	+	0.0267380i
$358$	0.930694	+	1.36110i	0.0491887	+	0.0719362i
$359$	−27.2015	+	6.32544i	−1.43564	+	0.333844i	−0.870915	−	0.491434i	$-0.836473\pi$
$359$	−27.2015	+	6.32544i	−1.43564	+	0.333844i	−0.564727	+	0.825278i	$0.691018\pi$
$360$	1.16565	−	0.846894i	0.0614351	−	0.0446352i
$361$	5.47515	−	0.628214i	0.288166	−	0.0330639i
$362$	3.57375			0.187832
$363$	8.14541	−	12.6455i	0.427523	−	0.663715i
$364$	8.07826			0.423416
$365$	−12.0622	+	1.38401i	−0.631366	+	0.0724425i
$366$	−2.37002	+	1.72192i	−0.123883	+	0.0900062i
$367$	−31.5117	+	7.32773i	−1.64490	+	0.382505i	−0.943789	−	0.330550i	$-0.892766\pi$
$367$	−31.5117	+	7.32773i	−1.64490	+	0.382505i	−0.701109	+	0.713054i	$0.747311\pi$
$368$	−13.3966	−	19.5918i	−0.698344	−	1.02130i
$369$	4.85636	−	4.45712i	0.252812	−	0.232029i
$370$	1.42439	−	1.46566i	0.0740505	−	0.0761961i
$371$	−8.45162	+	3.01553i	−0.438786	+	0.156559i
$372$	7.53079	−	23.1774i	0.390453	−	1.20169i
$373$	5.63830	+	6.50694i	0.291940	+	0.336917i	0.882706	−	0.469927i	$-0.155720\pi$
$373$	5.63830	+	6.50694i	0.291940	+	0.336917i	−0.590765	+	0.806843i	$0.701174\pi$
$374$	−0.636423	−	0.258694i	−0.0329086	−	0.0133767i
$375$	0.895480	−	1.03344i	0.0462424	−	0.0533666i
$376$	−2.21311	−	3.67003i	−0.114132	−	0.189267i
$377$	14.7573	−	19.1376i	0.760038	−	0.985635i
$378$	−1.50507	−	0.537006i	−0.0774122	−	0.0276206i
$379$	−26.3142	+	12.9378i	−1.35167	+	0.664571i	−0.966115	−	0.258114i	$-0.916899\pi$
$379$	−26.3142	+	12.9378i	−1.35167	+	0.664571i	−0.385555	+	0.922685i	$0.625990\pi$
$380$	−7.25422	−	5.93175i	−0.372134	−	0.304292i
$381$	−3.39549	+	16.7574i	−0.173956	+	0.858508i
$382$	−5.66847	+	0.324135i	−0.290024	+	0.0165842i
$383$	−17.8351	−	16.3689i	−0.911331	−	0.836412i	0.0756686	−	0.997133i	$-0.475891\pi$
$383$	−17.8351	−	16.3689i	−0.911331	−	0.836412i	−0.987000	+	0.160721i	$0.948618\pi$
$384$	1.77482	−	12.3442i	0.0905710	−	0.629935i
$385$	2.86504	−	0.0394200i	0.146016	−	0.00200903i
$386$	0.599517	+	4.16973i	0.0305146	+	0.212234i
$387$	2.25111	−	3.29215i	0.114431	−	0.167349i
$388$	1.60075	−	4.11148i	0.0812656	−	0.208729i
$389$	22.9883	+	29.8118i	1.16555	+	1.51152i	0.819290	+	0.573379i	$0.194368\pi$
$389$	22.9883	+	29.8118i	1.16555	+	1.51152i	0.346263	+	0.938137i	$0.387450\pi$
$390$	−0.683715	−	2.10426i	−0.0346212	−	0.106553i
$391$	−2.30154	+	3.81668i	−0.116394	+	0.193018i
$392$	2.89265	+	7.42971i	0.146101	+	0.375257i
$393$	−14.7042	−	3.41931i	−0.741728	−	0.172481i
$394$	0.871237	−	0.368188i	0.0438923	−	0.0185490i
$395$	−13.9936	+	8.99315i	−0.704095	+	0.452495i
$396$	0.704281	+	7.05926i	0.0353914	+	0.354741i
$397$	−2.77538	−	1.78363i	−0.139292	−	0.0895178i	0.469139	−	0.883125i	$-0.344564\pi$
$397$	−2.77538	−	1.78363i	−0.139292	−	0.0895178i	−0.608431	+	0.793607i	$0.708201\pi$
$398$	2.85158	+	0.493485i	0.142937	+	0.0247362i
$399$	−0.500507	+	5.82729i	−0.0250567	+	0.291730i
$400$	0.288209	+	3.35555i	0.0144104	+	0.167778i
$401$	2.76580	−	0.478641i	0.138118	−	0.0239022i	−0.101044	−	0.994882i	$-0.532218\pi$
$401$	2.76580	−	0.478641i	0.138118	−	0.0239022i	0.239162	+	0.970980i	$0.423127\pi$
$402$	−5.89362	−	2.49066i	−0.293947	−	0.124223i
$403$	37.6334	+	27.3422i	1.87465	+	1.36201i
$404$	5.54791	+	3.13305i	0.276019	+	0.155875i
$405$	0.123719	−	4.33071i	0.00614762	−	0.215195i
$406$	−1.32804	−	0.389947i	−0.0659094	−	0.0193527i
$407$	5.53634	+	19.9424i	0.274426	+	0.988507i
$408$	−1.05793	+	0.310637i	−0.0523755	+	0.0153788i
$409$	4.85604	+	18.4743i	0.240116	+	0.913495i	0.972557	+	0.232665i	$0.0747445\pi$
$409$	4.85604	+	18.4743i	0.240116	+	0.913495i	−0.732441	+	0.680830i	$0.761619\pi$
$410$	−0.379369	−	1.87226i	−0.0187357	−	0.0924644i
$411$	6.82361	−	12.9322i	0.336584	−	0.637898i
$412$	−0.248809	−	8.70944i	−0.0122579	−	0.429083i
$413$	1.33028	−	5.06092i	0.0654590	−	0.249032i
$414$	−2.60411	−	0.148908i	−0.127985	−	0.00731845i
$415$	−10.9313	−	11.2481i	−0.536597	−	0.552145i
$416$	16.1949	+	7.96247i	0.794018	+	0.390392i
$417$	4.25277	+	9.31226i	0.208259	+	0.456023i
$418$	−5.03976	+	1.87674i	−0.246503	+	0.0917943i
$419$	−10.9678	+	24.0161i	−0.535812	+	1.17326i	0.427286	+	0.904116i	$0.359470\pi$
$419$	−10.9678	+	24.0161i	−0.535812	+	1.17326i	−0.963099	+	0.269149i	$0.913258\pi$
$420$	1.73098	−	1.41541i	0.0844631	−	0.0690651i
$421$	12.0068	+	22.7554i	0.585176	+	1.10903i	0.981597	+	0.190963i	$0.0611611\pi$
$421$	12.0068	+	22.7554i	0.585176	+	1.10903i	−0.396421	+	0.918069i	$0.629748\pi$
$422$	6.88763	−	3.88963i	0.335285	−	0.189344i
$423$	3.77412	+	0.433040i	0.183504	+	0.0210551i
$424$	−13.1563	−	1.50954i	−0.638924	−	0.0733097i
$425$	0.550699	−	0.310994i	0.0267128	−	0.0150854i
$426$	0.473078	+	0.896582i	0.0229207	+	0.0434395i
$427$	4.37472	−	3.57719i	0.211708	−	0.173113i
$428$	3.77875	−	8.27431i	0.182653	−	0.399954i
$429$	21.8911	+	4.77408i	1.05691	+	0.230495i
$430$	−0.480139	−	1.05136i	−0.0231544	−	0.0507010i
$431$	−3.22504	−	1.58564i	−0.155345	−	0.0763778i	0.361893	−	0.932220i	$-0.382131\pi$
$431$	−3.22504	−	1.58564i	−0.155345	−	0.0763778i	−0.517238	+	0.855842i	$0.673040\pi$
$432$	13.2563	+	13.6405i	0.637796	+	0.656276i
$433$	21.2497	+	1.21510i	1.02119	+	0.0583940i	0.559655	−	0.828726i	$-0.310934\pi$
$433$	21.2497	+	1.21510i	1.02119	+	0.0583940i	0.461540	+	0.887120i	$0.347297\pi$
$434$	0.677291	−	2.57668i	0.0325110	−	0.123685i
$435$	−0.191015	−	6.68639i	−0.00915846	−	0.320588i
$436$	3.31242	−	6.27773i	0.158636	−	0.300649i
$437$	6.92871	+	34.1945i	0.331445	+	1.63575i
$438$	1.38234	+	5.25895i	0.0660505	+	0.251282i
$439$	2.35968	−	0.692865i	0.112621	−	0.0330686i	−0.224936	−	0.974373i	$-0.572217\pi$
$439$	2.35968	−	0.692865i	0.112621	−	0.0330686i	0.337558	+	0.941305i	$0.390399\pi$
$440$	3.81993	+	1.81331i	0.182108	+	0.0864460i
$441$	−6.78107	−	1.99110i	−0.322908	−	0.0948144i
$442$	0.0292217	−	1.02289i	0.00138994	−	0.0486541i
$443$	−20.9787	−	11.8472i	−0.996726	−	0.562877i	−0.0951343	−	0.995464i	$-0.530328\pi$
$443$	−20.9787	−	11.8472i	−0.996726	−	0.562877i	−0.901592	+	0.432587i	$0.857601\pi$
$444$	13.0664	+	9.49332i	0.620106	+	0.450533i
$445$	0.777834	+	0.328715i	0.0368729	+	0.0155826i
$446$	8.54680	−	1.47908i	0.404703	−	0.0700365i
$447$	−2.26977	−	26.4264i	−0.107356	−	1.24993i
$448$	−0.409531	+	4.76808i	−0.0193485	+	0.225271i
$449$	3.06579	+	0.530556i	0.144683	+	0.0250385i	0.242404	−	0.970175i	$-0.422064\pi$
$449$	3.06579	+	0.530556i	0.144683	+	0.0250385i	−0.0977203	+	0.995214i	$0.531155\pi$
$450$	0.311374	+	0.200108i	0.0146783	+	0.00943318i
$451$	18.3077	+	6.24959i	0.862074	+	0.294282i
$452$	−9.56497	+	6.14703i	−0.449898	+	0.289132i
$453$	27.0881	−	11.4475i	1.27271	−	0.537852i
$454$	3.77885	+	0.878735i	0.177350	+	0.0412411i
$455$	1.54848	+	3.97723i	0.0725937	+	0.186455i
$456$	−4.45717	+	7.39138i	−0.208726	+	0.346133i
$457$	−10.5151	−	32.3623i	−0.491877	−	1.51384i	−0.821767	−	0.569823i	$-0.807012\pi$
$457$	−10.5151	−	32.3623i	−0.491877	−	1.51384i	0.329890	−	0.944019i	$-0.392988\pi$
$458$	−2.80651	−	3.63955i	−0.131140	−	0.170065i
$459$	1.29589	−	3.32847i	0.0604870	−	0.155360i
$460$	7.52874	−	11.0104i	0.351029	−	0.513364i
$461$	0.927547	+	6.45123i	0.0432002	+	0.300464i	0.999954	+	0.00956583i	$0.00304495\pi$
$461$	0.927547	+	6.45123i	0.0432002	+	0.300464i	−0.956754	+	0.290898i	$0.906046\pi$
$462$	−0.200083	−	1.26755i	−0.00930868	−	0.0589719i
$463$	0.736349	−	5.12142i	0.0342210	−	0.238012i	−0.965531	−	0.260289i	$-0.916182\pi$
$463$	0.736349	−	5.12142i	0.0342210	−	0.238012i	0.999752	+	0.0222763i	$0.00709135\pi$
$464$	12.1377	+	11.1399i	0.563479	+	0.517157i
$465$	12.8546	−	0.735055i	0.596120	−	0.0340874i
$466$	−0.691943	+	3.41487i	−0.0320537	+	0.158191i
$467$	−31.4787	−	25.7400i	−1.45666	−	1.19110i	−0.942858	−	0.333194i	$-0.891874\pi$
$467$	−31.4787	−	25.7400i	−1.45666	−	1.19110i	−0.513800	−	0.857910i	$-0.671763\pi$
$468$	−9.48314	+	4.66254i	−0.438358	+	0.215526i
$469$	11.6246	+	4.14766i	0.536775	+	0.191521i
$470$	0.672287	−	0.871837i	0.0310103	−	0.0402148i
$471$	7.92867	+	13.1482i	0.365334	+	0.605838i
$472$	5.05706	−	5.83616i	0.232770	−	0.268631i
$473$	11.6454	+	1.17410i	0.535455	+	0.0539852i
$474$	4.87855	+	5.63015i	0.224079	+	0.258601i
$475$	1.52990	−	4.70855i	0.0701967	−	0.216043i
$476$	0.974015	−	0.347528i	0.0446439	−	0.0159289i
$477$	8.18095	−	8.41799i	0.374580	−	0.385433i
$478$	−6.51219	+	5.97683i	−0.297860	+	0.273374i
$479$	18.1016	+	26.4728i	0.827084	+	1.20957i	0.975359	+	0.220625i	$0.0708097\pi$
$479$	18.1016	+	26.4728i	0.827084	+	1.20957i	−0.148275	+	0.988946i	$0.547372\pi$
$480$	4.86530	−	1.13138i	0.222070	−	0.0516401i
$481$	−24.9410	+	18.1207i	−1.13721	+	0.826233i
$482$	2.80314	−	0.321630i	0.127680	−	0.0146499i
$483$	−8.32520			−0.378810
$484$	−17.1986	+	11.7338i	−0.781756	+	0.533355i
$485$	2.33108			0.105849
$486$	3.58525	−	0.411369i	0.162630	−	0.0186601i
$487$	2.58348	−	1.87700i	0.117068	−	0.0850552i	−0.527711	−	0.849424i	$-0.676949\pi$
$487$	2.58348	−	1.87700i	0.117068	−	0.0850552i	0.644779	+	0.764369i	$0.276949\pi$
$488$	8.12281	−	1.88888i	0.367702	−	0.0855055i
$489$	12.9383	+	18.9216i	0.585089	+	0.855665i
$490$	−1.50897	+	1.38492i	−0.0681682	+	0.0625642i
$491$	−1.64389	+	1.69153i	−0.0741879	+	0.0763375i	−0.753209	−	0.657781i	$-0.771495\pi$
$491$	−1.64389	+	1.69153i	−0.0741879	+	0.0763375i	0.679021	+	0.734118i	$0.262404\pi$
$492$	14.2183	−	5.07308i	0.641010	−	0.228712i
$493$	0.956019	−	2.94232i	0.0430569	−	0.132516i
$494$	−5.24585	−	6.05403i	−0.236022	−	0.272384i
$495$	−3.34054	+	1.69989i	−0.150146	+	0.0764045i
$496$	−20.7669	+	23.9662i	−0.932460	+	1.07612i
$497$	−1.00982	−	1.67460i	−0.0452967	−	0.0751162i
$498$	−4.28951	+	5.56274i	−0.192218	+	0.249272i
$499$	33.2314	+	11.8569i	1.48764	+	0.530789i	0.949963	−	0.312362i	$-0.101120\pi$
$499$	33.2314	+	11.8569i	1.48764	+	0.530789i	0.537677	+	0.843151i	$0.319302\pi$
$500$	−1.69854	+	0.835114i	−0.0759608	+	0.0373474i
$501$	−16.0678	−	13.1386i	−0.717856	−	0.586988i
$502$	1.54586	−	7.62910i	0.0689949	−	0.340503i
$503$	30.2551	−	1.73005i	1.34901	−	0.0771390i	0.632414	−	0.774630i	$-0.282064\pi$
$503$	30.2551	−	1.73005i	1.34901	−	0.0771390i	0.716593	+	0.697491i	$0.245700\pi$
$504$	0.917065	+	0.841674i	0.0408493	+	0.0374912i
$505$	−0.479070	+	3.33200i	−0.0213183	+	0.148272i
$506$	−3.27547	−	6.91876i	−0.145612	−	0.307576i
$507$	2.21980	+	15.4390i	0.0985846	+	0.685671i
$508$	13.3582	−	19.5357i	0.592673	−	0.866756i
$509$	1.28247	−	3.29399i	0.0568443	−	0.146003i	−0.900578	−	0.434694i	$-0.856856\pi$
$509$	1.28247	−	3.29399i	0.0568443	−	0.146003i	0.957422	+	0.288691i	$0.0932200\pi$
$510$	−0.172963	−	0.224302i	−0.00765892	−	0.00993226i
$511$	−3.24134	−	9.97582i	−0.143388	−	0.441304i
$512$	−10.7877	+	17.8894i	−0.476754	+	0.790608i
$513$	−10.1444	−	26.0557i	−0.447887	−	1.15039i
$514$	−1.61426	−	0.375381i	−0.0712021	−	0.0165573i
$515$	4.24029	−	1.79196i	0.186850	−	0.0789633i
$516$	7.68381	−	4.93809i	0.338261	−	0.217387i
$517$	4.18742	+	10.3325i	0.184162	+	0.454424i
$518$	1.48538	+	0.954593i	0.0652637	+	0.0419424i
$519$	11.5917	+	2.00602i	0.508818	+	0.0880545i
$520$	−0.538998	+	6.27544i	−0.0236366	+	0.275196i
$521$	−1.99191	−	23.1914i	−0.0872670	−	1.01603i	−0.900720	−	0.434401i	$-0.856960\pi$
$521$	−1.99191	−	23.1914i	−0.0872670	−	1.01603i	0.813453	−	0.581631i	$-0.197585\pi$
$522$	1.78406	−	0.308744i	0.0780862	−	0.0135134i
$523$	−27.9411	−	11.8080i	−1.22178	−	0.516328i	−0.319542	−	0.947572i	$-0.603529\pi$
$523$	−27.9411	−	11.8080i	−1.22178	−	0.516328i	−0.902235	+	0.431244i	$0.858075\pi$
$524$	16.9051	+	12.2822i	0.738501	+	0.536552i
$525$	1.02866	+	0.580913i	0.0448946	+	0.0253531i
$526$	−0.0194875	+	0.682152i	−0.000849696	+	0.0297433i
$527$	5.71381	+	1.67773i	0.248898	+	0.0730829i
$528$	−4.51974	+	14.5904i	−0.196696	+	0.634964i
$529$	−25.5821	+	7.51159i	−1.11227	+	0.326591i
$530$	−0.864818	−	3.29011i	−0.0375653	−	0.142913i
$531$	1.35939	+	6.70886i	0.0589926	+	0.291140i
$532$	3.77792	−	7.15995i	0.163794	−	0.310423i
$533$	0.822855	+	28.8037i	0.0356418	+	1.24763i
$534$	0.0961424	−	0.365763i	0.00416049	−	0.0158281i
$535$	4.79808	+	0.274364i	0.207439	+	0.0118618i
$536$	12.6942	+	13.0620i	0.548306	+	0.564193i
$537$	−6.17799	−	3.03751i	−0.266600	−	0.131078i
$538$	2.63280	+	5.76502i	0.113508	+	0.248548i
$539$	−4.39823	−	20.2693i	−0.189445	−	0.873059i
$540$	−4.44060	+	9.72355i	−0.191093	+	0.418435i
$541$	19.3519	−	15.8240i	0.832003	−	0.680325i	−0.117847	−	0.993032i	$-0.537599\pi$
$541$	19.3519	−	15.8240i	0.832003	−	0.680325i	0.949850	+	0.312707i	$0.101236\pi$
$542$	2.98561	+	5.65837i	0.128243	+	0.243048i
$543$	−12.9924	+	7.33717i	−0.557559	+	0.314868i
$544$	2.29520	+	0.263350i	0.0984059	+	0.0112910i
$545$	3.72570	+	0.427485i	0.159592	+	0.0183114i
$546$	1.66440	−	0.939932i	0.0712299	−	0.0402254i
$547$	8.33702	+	15.8004i	0.356465	+	0.675577i	0.995619	−	0.0935021i	$-0.0298062\pi$
$547$	8.33702	+	15.8004i	0.356465	+	0.675577i	−0.639154	+	0.769079i	$0.720715\pi$
$548$	−15.6679	+	12.8116i	−0.669298	+	0.547282i
$549$	−3.07087	+	6.72427i	−0.131062	+	0.286985i
$550$	−0.0780573	+	1.08344i	−0.00332837	+	0.0461979i
$551$	−10.0606	−	22.0297i	−0.428597	−	0.938497i
$552$	−11.0253	−	5.42079i	−0.469269	−	0.230724i
$553$	−10.0155	−	10.3057i	−0.425902	−	0.438242i
$554$	3.34408	+	0.191222i	0.142077	+	0.00812423i
$555$	−2.16929	+	8.25282i	−0.0920811	+	0.350313i
$556$	−0.404641	−	14.1643i	−0.0171606	−	0.600700i
$557$	6.17774	−	11.7081i	0.261759	−	0.496089i	−0.718058	−	0.695983i	$-0.754969\pi$
$557$	6.17774	−	11.7081i	0.261759	−	0.496089i	0.979818	+	0.199894i	$0.0640597\pi$
$558$	0.692111	+	3.41570i	0.0292994	+	0.144598i
$559$	4.43214	+	16.8616i	0.187460	+	0.713170i
$560$	−2.79175	+	0.819732i	−0.117973	+	0.0346400i
$561$	2.84484	−	0.366136i	0.120109	−	0.0154583i
$562$	8.98480	+	2.63817i	0.379001	+	0.111285i
$563$	−0.119568	+	4.18544i	−0.00503921	+	0.176395i	0.993174	+	0.116642i	$0.0372131\pi$
$563$	−0.119568	+	4.18544i	−0.00503921	+	0.176395i	−0.998213	+	0.0597529i	$0.980969\pi$
$564$	7.57565	+	4.27817i	0.318992	+	0.180143i
$565$	−4.85987	−	3.53090i	−0.204456	−	0.148546i
$566$	2.42433	+	1.02453i	0.101902	+	0.0430643i
$567$	3.68811	−	0.638252i	0.154886	−	0.0268041i
$568$	−0.246956	−	2.87526i	−0.0103620	−	0.120643i
$569$	0.435818	−	5.07413i	0.0182704	−	0.212719i	−0.981503	−	0.191445i	$-0.938683\pi$
$569$	0.435818	−	5.07413i	0.0182704	−	0.212719i	0.999774	−	0.0212734i	$-0.00677203\pi$
$570$	−2.18480	−	0.378095i	−0.0915113	−	0.0158367i
$571$	14.6087	+	9.38847i	0.611357	+	0.392895i	0.809366	−	0.587305i	$-0.199811\pi$
$571$	14.6087	+	9.38847i	0.611357	+	0.392895i	−0.198009	+	0.980200i	$0.563447\pi$
$572$	−25.3382	−	17.8819i	−1.05944	−	0.747680i
$573$	19.9424	−	12.8162i	0.833104	−	0.535403i
$574$	1.52018	−	0.642435i	0.0634513	−	0.0268147i
$575$	6.86400	+	1.59615i	0.286248	+	0.0665642i
$576$	−2.27125	−	5.83367i	−0.0946355	−	0.243069i
$577$	20.1550	−	33.4233i	0.839063	−	1.39143i	−0.0797824	−	0.996812i	$-0.525423\pi$
$577$	20.1550	−	33.4233i	0.839063	−	1.39143i	0.918845	−	0.394618i	$-0.129123\pi$
$578$	1.68005	+	5.17067i	0.0698810	+	0.215071i
$579$	−10.7403	−	13.9283i	−0.446352	−	0.578840i
$580$	−3.35914	+	8.62787i	−0.139481	+	0.358253i
$581$	7.64845	−	11.1855i	0.317311	−	0.464053i
$582$	−0.148575	−	1.03336i	−0.00615863	−	0.0428342i
$583$	33.1844	+	9.24987i	1.37436	+	0.383090i
$584$	2.20295	−	15.3218i	0.0911586	−	0.634022i
$585$	−4.11332	−	3.77517i	−0.170065	−	0.156084i
$586$	−1.43532	+	0.0820745i	−0.0592925	+	0.00339047i
$587$	−2.79914	+	13.8143i	−0.115533	+	0.570177i	0.879936	+	0.475092i	$0.157585\pi$
$587$	−2.79914	+	13.8143i	−0.115533	+	0.570177i	−0.995469	+	0.0950855i	$0.969688\pi$
$588$	−12.5300	−	10.2457i	−0.516727	−	0.422526i
$589$	41.8339	−	20.5683i	1.72374	−	0.847504i
$590$	1.86842	+	0.666650i	0.0769215	+	0.0274455i
$591$	−2.41148	+	3.12727i	−0.0991952	+	0.128639i
$592$	−10.8529	−	17.9976i	−0.446053	−	0.739695i
$593$	26.1976	−	30.2337i	1.07581	−	1.24155i	0.106863	−	0.994274i	$-0.465919\pi$
$593$	26.1976	−	30.2337i	1.07581	−	1.24155i	0.968945	−	0.247275i	$-0.0795351\pi$
$594$	3.53207	+	5.01596i	0.144922	+	0.205807i
$595$	0.357805	+	0.412929i	0.0146686	+	0.0169284i
$596$	−11.3449	+	34.9159i	−0.464704	+	1.43021i
$597$	−11.3801	+	4.06043i	−0.465758	+	0.166182i
$598$	7.94679	−	8.17706i	0.324969	−	0.334385i
$599$	−13.7516	+	12.6211i	−0.561876	+	0.515685i	−0.906022	−	0.423231i	$-0.860896\pi$
$599$	−13.7516	+	12.6211i	−0.561876	+	0.515685i	0.344146	+	0.938916i	$0.388168\pi$
$600$	0.984043	+	1.43912i	0.0401734	+	0.0587517i
$601$	−12.5430	+	2.91675i	−0.511640	+	0.118977i	−0.474365	−	0.880328i	$-0.657322\pi$
$601$	−12.5430	+	2.91675i	−0.511640	+	0.118977i	−0.0372749	+	0.999305i	$0.511868\pi$
$602$	0.807826	−	0.586920i	0.0329245	−	0.0239211i
$603$	−16.0402	+	1.84044i	−0.653206	+	0.0749484i
$604$	−40.7046			−1.65625
$605$	−9.07371	−	6.21835i	−0.368899	−	0.252812i
$606$	1.50761			0.0612423
$607$	−27.9037	+	3.20165i	−1.13257	+	0.129951i	−0.659948	−	0.751312i	$-0.729421\pi$
$607$	−27.9037	+	3.20165i	−1.13257	+	0.129951i	−0.472627	+	0.881263i	$0.656694\pi$
$608$	14.6311	−	10.6301i	0.593369	−	0.431108i
$609$	5.62870	−	1.30890i	0.228086	−	0.0530392i
$610$	1.20923	+	1.76844i	0.0489601	+	0.0716019i
$611$	−12.2349	+	11.2291i	−0.494971	+	0.454280i
$612$	−0.942822	+	0.970141i	−0.0381113	+	0.0392156i
$613$	16.2939	−	5.81366i	0.658105	−	0.234811i	0.0141795	−	0.999899i	$-0.495486\pi$
$613$	16.2939	−	5.81366i	0.658105	−	0.234811i	0.643926	+	0.765088i	$0.277305\pi$
$614$	−1.81083	+	5.57318i	−0.0730793	+	0.224915i
$615$	5.22309	+	6.02777i	0.210615	+	0.243063i
$616$	−0.879982	+	3.54549i	−0.0354555	+	0.142852i
$617$	−12.5158	+	14.4440i	−0.503867	+	0.581494i	−0.949518	−	0.313713i	$-0.898427\pi$
$617$	−12.5158	+	14.4440i	−0.503867	+	0.581494i	0.445651	+	0.895207i	$0.352972\pi$
$618$	−1.06464	−	1.76550i	−0.0428259	−	0.0710189i
$619$	0.924085	−	1.19837i	0.0371421	−	0.0481667i	−0.772965	−	0.634449i	$-0.781227\pi$
$619$	0.924085	−	1.19837i	0.0371421	−	0.0481667i	0.810107	+	0.586282i	$0.199409\pi$
$620$	−16.7854	−	5.98900i	−0.674116	−	0.240524i
$621$	35.7164	−	17.5606i	1.43325	−	0.704681i
$622$	2.21827	+	1.81387i	0.0889446	+	0.0727297i
$623$	−0.144878	+	0.715000i	−0.00580441	+	0.0286459i
$624$	−22.7150	+	1.29889i	−0.909326	+	0.0519971i
$625$	−0.736741	−	0.676175i	−0.0294696	−	0.0270470i
$626$	0.787219	−	5.47523i	0.0314636	−	0.218834i
$627$	14.4691	−	17.1699i	0.577840	−	0.685701i
$628$	−3.02447	−	21.0356i	−0.120689	−	0.839413i
$629$	−2.22764	+	3.25782i	−0.0888219	+	0.129898i
$630$	−0.116013	+	0.297977i	−0.00462207	+	0.0118717i
$631$	−6.83339	−	8.86169i	−0.272033	−	0.352778i	0.635991	−	0.771696i	$-0.280591\pi$
$631$	−6.83339	−	8.86169i	−0.272033	−	0.352778i	−0.908024	+	0.418918i	$0.862410\pi$
$632$	−6.55348	−	20.1695i	−0.260684	−	0.802301i
$633$	−17.0545	+	28.2816i	−0.677854	+	1.12409i
$634$	2.61594	+	6.71899i	0.103892	+	0.266845i
$635$	12.1787	+	2.83204i	0.483298	+	0.112386i
$636$	24.7628	−	10.4649i	0.981910	−	0.414959i
$637$	25.9904	−	16.7030i	1.02978	−	0.661798i
$638$	3.30233	+	4.16282i	0.130741	+	0.164808i
$639$	2.15197	+	1.38299i	0.0851307	+	0.0547102i
$640$	−8.98648	−	1.55517i	−0.355222	−	0.0614736i
$641$	1.68444	−	19.6116i	0.0665313	−	0.774610i	−0.884706	−	0.466150i	$-0.845641\pi$
$641$	1.68444	−	19.6116i	0.0665313	−	0.774610i	0.951237	−	0.308460i	$-0.0998138\pi$
$642$	−0.184189	−	2.14447i	−0.00726934	−	0.0846354i
$643$	−12.7479	+	2.20610i	−0.502726	+	0.0870002i	−0.416244	−	0.909253i	$-0.636654\pi$
$643$	−12.7479	+	2.20610i	−0.502726	+	0.0870002i	−0.0864827	+	0.996253i	$0.527563\pi$
$644$	10.6144	+	4.48568i	0.418265	+	0.176760i
$645$	3.90407	+	2.83648i	0.153723	+	0.111686i
$646$	−0.892950	−	0.504272i	−0.0351326	−	0.0198403i
$647$	−0.183102	+	6.40940i	−0.00719848	+	0.251980i	0.988021	+	0.154318i	$0.0493181\pi$
$647$	−0.183102	+	6.40940i	−0.00719848	+	0.251980i	−0.995220	+	0.0976615i	$0.968864\pi$
$648$	5.29987	+	1.55618i	0.208198	+	0.0611326i
$649$	−15.3753	+	12.9294i	−0.603534	+	0.507522i
$650$	−1.55248	+	0.455851i	−0.0608934	+	0.0178799i
$651$	2.82781	+	10.7581i	0.110831	+	0.421644i
$652$	−6.30081	−	31.0957i	−0.246759	−	1.21780i
$653$	−4.77057	+	9.04123i	−0.186687	+	0.353811i	−0.959903	−	0.280331i	$-0.909556\pi$
$653$	−4.77057	+	9.04123i	−0.186687	+	0.353811i	0.773217	+	0.634142i	$0.218647\pi$
$654$	−0.0479607	−	1.67884i	−0.00187541	−	0.0656480i
$655$	−2.80657	+	10.6773i	−0.109662	+	0.417197i
$656$	−19.6121	−	1.12146i	−0.765722	−	0.0437856i
$657$	9.56280	+	9.83989i	0.373080	+	0.383891i
$658$	0.853539	+	0.419657i	0.0332744	+	0.0163599i
$659$	−17.3691	−	38.0331i	−0.676606	−	1.48156i	−0.866200	−	0.499697i	$-0.833445\pi$
$659$	−17.3691	−	38.0331i	−0.676606	−	1.48156i	0.189595	−	0.981862i	$-0.439283\pi$
$660$	−8.56251	+	0.607912i	−0.333295	+	0.0236629i
$661$	13.2622	−	29.0403i	0.515842	−	1.12954i	−0.455148	−	0.890416i	$-0.650414\pi$
$661$	13.2622	−	29.0403i	0.515842	−	1.12954i	0.970990	−	0.239120i	$-0.0768589\pi$
$662$	2.49429	−	2.03957i	0.0969435	−	0.0792703i
$663$	1.99384	+	3.77875i	0.0774344	+	0.146754i
$664$	17.4123	−	9.83318i	0.675729	−	0.381602i
$665$	4.24928	+	0.487560i	0.164780	+	0.0189068i
$666$	−2.29466	−	0.263288i	−0.0889163	−	0.0102022i
$667$	30.0169	−	16.9513i	1.16226	−	0.656358i
$668$	13.4068	+	25.4087i	0.518725	+	0.983093i
$669$	−28.0354	+	22.9244i	−1.08391	+	0.886310i
$670$	−1.94374	+	4.25620i	−0.0750934	+	0.164432i
$671$	−21.6401	+	1.53638i	−0.835408	+	0.0593114i
$672$	1.79268	+	3.92542i	0.0691540	+	0.151426i
$673$	22.2186	+	10.9242i	0.856465	+	0.421096i	0.815977	−	0.578084i	$-0.196200\pi$
$673$	22.2186	+	10.9242i	0.856465	+	0.421096i	0.0404883	+	0.999180i	$0.487109\pi$
$674$	−1.25979	−	1.29630i	−0.0485255	−	0.0499315i
$675$	−5.63846	−	0.322419i	−0.217025	−	0.0124099i
$676$	5.48848	−	20.8803i	0.211095	−	0.803090i
$677$	−0.123956	−	4.33904i	−0.00476403	−	0.166763i	−0.998490	−	0.0549248i	$-0.982508\pi$
$677$	−0.123956	−	4.33904i	−0.00476403	−	0.166763i	0.993726	−	0.111838i	$-0.0356737\pi$
$678$	−1.25549	+	2.37942i	−0.0482169	+	0.0913811i
$679$	0.399935	+	1.97376i	0.0153481	+	0.0757459i
$680$	0.204982	+	0.779833i	0.00786071	+	0.0299052i
$681$	−15.5422	+	4.56361i	−0.595579	+	0.174878i
$682$	−7.82809	+	6.58276i	−0.299753	+	0.252067i
$683$	2.66635	+	0.782911i	0.102025	+	0.0299573i	0.332347	−	0.943157i	$-0.392160\pi$
$683$	2.66635	+	0.782911i	0.102025	+	0.0299573i	−0.230322	+	0.973115i	$0.573978\pi$
$684$	−0.302407	+	10.5856i	−0.0115628	+	0.404752i
$685$	−9.31090	−	5.25810i	−0.355751	−	0.200902i
$686$	−3.03389	−	2.20425i	−0.115834	−	0.0841586i
$687$	17.6754	+	7.46969i	0.674359	+	0.284986i
$688$	−11.7113	+	2.02672i	−0.446490	+	0.0772681i
$689$	4.39123	+	51.1262i	0.167293	+	1.94775i
$690$	0.270084	−	3.14453i	0.0102819	−	0.119710i
$691$	−43.7916	−	7.57844i	−1.66591	−	0.288297i	−0.741857	−	0.670558i	$-0.766055\pi$
$691$	−43.7916	−	7.57844i	−1.66591	−	0.288297i	−0.924054	+	0.382261i	$0.875146\pi$
$692$	−13.6982	−	8.80330i	−0.520728	−	0.334651i
$693$	−2.01245	−	2.53684i	−0.0764467	−	0.0963665i
$694$	−2.09198	+	1.34443i	−0.0794105	+	0.0510340i
$695$	6.89605	−	2.91429i	0.261582	−	0.110545i
$696$	8.30653	+	1.93160i	0.314858	+	0.0732172i
$697$	1.33835	+	3.43753i	0.0506938	+	0.130206i
$698$	−1.60918	+	2.66853i	−0.0609085	+	0.101005i
$699$	−4.49541	−	13.8355i	−0.170032	−	0.523305i
$700$	−0.998516	−	1.29490i	−0.0377404	−	0.0489426i
$701$	9.24880	−	23.7554i	0.349322	−	0.897227i	−0.642111	−	0.766612i	$-0.721941\pi$
$701$	9.24880	−	23.7554i	0.349322	−	0.897227i	0.991433	−	0.130615i	$-0.0416953\pi$
$702$	−5.15793	+	7.54323i	−0.194673	+	0.284701i
$703$	4.39677	+	30.5802i	0.165827	+	1.15336i
$704$	11.8391	−	14.0490i	0.446202	−	0.529492i
$705$	−0.654168	+	4.54984i	−0.0246374	+	0.171357i
$706$	−3.38731	−	3.10884i	−0.127483	−	0.117003i
$707$	−2.90345	+	0.166025i	−0.109196	+	0.00624403i
$708$	−3.11328	+	15.3646i	−0.117004	+	0.577438i
$709$	36.9286	+	30.1964i	1.38688	+	1.13405i	0.974845	+	0.222883i	$0.0715468\pi$
$709$	36.9286	+	30.1964i	1.38688	+	1.13405i	0.412039	+	0.911166i	$0.364817\pi$
$710$	0.665278	−	0.327095i	0.0249674	−	0.0122757i
$711$	17.7054	+	6.31728i	0.664005	+	0.236916i
$712$	−0.657425	+	0.852564i	−0.0246380	+	0.0319512i
$713$	34.2656	+	56.8232i	1.28326	+	2.12804i
$714$	0.160245	−	0.184933i	0.00599703	−	0.00692094i
$715$	3.94699	−	15.9026i	0.147609	−	0.594725i
$716$	6.24012	+	7.20149i	0.233204	+	0.269132i
$717$	11.4043	−	35.0989i	0.425902	−	1.31079i
$718$	8.61470	−	3.07372i	0.321498	−	0.114710i
$719$	−4.20701	+	4.32891i	−0.156895	+	0.161441i	−0.791022	−	0.611788i	$-0.790451\pi$
$719$	−4.20701	+	4.32891i	−0.156895	+	0.161441i	0.634127	+	0.773229i	$0.281360\pi$
$720$	2.80413	−	2.57361i	0.104504	−	0.0959128i
$721$	2.24478	+	3.28288i	0.0835998	+	0.122261i
$722$	−1.75805	+	0.408818i	−0.0654280	+	0.0152146i
$723$	−9.53055	+	6.92435i	−0.354445	+	0.257519i
$724$	20.5183	−	2.35426i	0.762557	−	0.0874952i
$725$	−4.89172			−0.181674
$726$	−2.17825	+	4.41869i	−0.0808426	+	0.163993i
$727$	6.86902			0.254758			0.127379	−	0.991854i	$-0.459344\pi$
$727$	6.86902			0.254758			0.127379	+	0.991854i	$0.459344\pi$
$728$	−5.40598	+	0.620279i	−0.200359	+	0.0229891i
$729$	−22.7048	+	16.4960i	−0.840920	+	0.610964i
$730$	3.87314	−	0.900661i	0.143352	−	0.0333350i
$731$	1.25978	+	1.84238i	0.0465948	+	0.0681427i
$732$	−12.4729	+	11.4475i	−0.461011	+	0.423112i
$733$	−12.6678	+	13.0348i	−0.467895	+	0.481452i	−0.909469	−	0.415773i	$-0.863511\pi$
$733$	−12.6678	+	13.0348i	−0.467895	+	0.481452i	0.441574	+	0.897225i	$0.354420\pi$
$734$	9.97973	−	3.56076i	0.368358	−	0.131430i
$735$	2.64254	−	8.13291i	0.0974717	−	0.299987i
$736$	16.8578	+	19.4549i	0.621385	+	0.717117i
$737$	−27.2805	−	38.7416i	−1.00489	−	1.42706i
$738$	−1.41376	+	1.63157i	−0.0520413	+	0.0600589i
$739$	−1.34418	−	2.22907i	−0.0494464	−	0.0819976i	0.830644	−	0.556804i	$-0.187973\pi$
$739$	−1.34418	−	2.22907i	−0.0494464	−	0.0819976i	−0.880090	+	0.474807i	$0.842518\pi$
$740$	7.21246	−	9.35328i	0.265135	−	0.343833i
$741$	31.5007	+	11.2394i	1.15721	+	0.412891i
$742$	2.63741	−	1.29673i	0.0968224	−	0.0476044i
$743$	36.5541	+	29.8901i	1.34104	+	1.09656i	0.986894	+	0.161371i	$0.0515916\pi$
$743$	36.5541	+	29.8901i	1.34104	+	1.09656i	0.354145	+	0.935191i	$0.384772\pi$
$744$	−3.25997	+	16.0886i	−0.119516	+	0.589837i
$745$	−19.3651	+	1.10733i	−0.709481	+	0.0405696i
$746$	−2.07752	−	1.90673i	−0.0760636	−	0.0698105i
$747$	−2.52262	+	17.5452i	−0.0922979	+	0.641946i
$748$	−3.82437	−	1.06601i	−0.139833	−	0.0389772i
$749$	0.590883	+	4.10968i	0.0215904	+	0.150164i
$750$	−0.252790	+	0.369693i	−0.00923057	+	0.0134993i
$751$	1.99698	−	5.12920i	0.0728709	−	0.187167i	−0.890718	−	0.454557i	$-0.849798\pi$
$751$	1.99698	−	5.12920i	0.0728709	−	0.187167i	0.963588	+	0.267390i	$0.0861612\pi$
$752$	−6.91326	−	8.96527i	−0.252101	−	0.326930i
$753$	10.0431	+	30.9095i	0.365991	+	1.12641i
$754$	−4.08725	+	6.77794i	−0.148849	+	0.246838i
$755$	−7.80244	−	20.0404i	−0.283960	−	0.729345i
$756$	−8.99494	−	2.09168i	−0.327143	−	0.0760738i
$757$	15.6937	−	6.63223i	0.570399	−	0.241053i	−0.0849419	−	0.996386i	$-0.527070\pi$
$757$	15.6937	−	6.63223i	0.570399	−	0.241053i	0.655341	+	0.755333i	$0.272525\pi$
$758$	8.07911	−	5.19213i	0.293447	−	0.188587i
$759$	26.1127	+	18.4285i	0.947833	+	0.668913i
$760$	5.31000	+	3.41253i	0.192614	+	0.123785i
$761$	11.0809	+	1.91763i	0.401684	+	0.0695141i	0.367784	−	0.929911i	$-0.380116\pi$
$761$	11.0809	+	1.91763i	0.401684	+	0.0695141i	0.0338996	+	0.999425i	$0.489207\pi$
$762$	0.479207	−	5.57931i	0.0173598	−	0.202117i
$763$	0.277249	+	3.22795i	0.0100371	+	0.116860i
$764$	−32.3314	+	5.59516i	−1.16971	+	0.202426i
$765$	−0.658361	−	0.278226i	−0.0238031	−	0.0100593i
$766$	6.41432	+	4.66027i	0.231759	+	0.168383i
$767$	−26.0560	−	14.7145i	−0.940827	−	0.531310i
$768$	0.315977	−	11.0607i	0.0114019	−	0.399117i
$769$	−22.3765	−	6.57032i	−0.806916	−	0.236932i	−0.147843	−	0.989011i	$-0.547233\pi$
$769$	−22.3765	−	6.57032i	−0.806916	−	0.236932i	−0.659073	+	0.752079i	$0.729051\pi$
$770$	−0.930755	+	0.119790i	−0.0335421	+	0.00431692i
$771$	6.63937	−	1.94950i	0.239111	−	0.0702094i
$772$	6.18893	+	23.5451i	0.222744	+	0.847408i
$773$	−2.00128	−	9.87671i	−0.0719811	−	0.355241i	0.927863	−	0.372922i	$-0.121644\pi$
$773$	−2.00128	−	9.87671i	−0.0719811	−	0.355241i	−0.999844	+	0.0176816i	$0.994371\pi$
$774$	−0.609560	+	1.15524i	−0.0219102	+	0.0415244i
$775$	−0.268881	−	9.41206i	−0.00965849	−	0.338091i
$776$	−0.755527	+	2.87432i	−0.0271218	+	0.103182i
$777$	−7.35997	−	0.420858i	−0.264037	−	0.0150982i
$778$	−8.59294	−	8.84193i	−0.308072	−	0.316999i
$779$	25.9142	+	12.7412i	0.928473	+	0.456500i
$780$	−5.31168	−	11.6310i	−0.190189	−	0.416455i
$781$	−0.539471	+	7.48787i	−0.0193038	+	0.267937i
$782$	0.606386	−	1.32780i	0.0216843	−	0.0474821i
$783$	−21.3871	+	17.4881i	−0.764312	+	0.624975i
$784$	9.82880	+	18.6276i	0.351028	+	0.665273i
$785$	9.77688	−	5.52126i	0.348952	−	0.197062i
$786$	4.91211	+	0.563612i	0.175209	+	0.0201034i
$787$	−18.5814	−	2.13202i	−0.662356	−	0.0759983i	−0.223706	−	0.974657i	$-0.571816\pi$
$787$	−18.5814	−	2.13202i	−0.662356	−	0.0759983i	−0.438649	+	0.898658i	$0.644543\pi$
$788$	4.75957	−	2.68785i	0.169553	−	0.0957507i
$789$	−1.32966	−	2.51999i	−0.0473372	−	0.0897140i
$790$	4.21750	−	3.44864i	0.150052	−	0.122697i
$791$	2.15588	−	4.72071i	0.0766542	−	0.167849i
$792$	−1.01334	−	4.66999i	−0.0360075	−	0.165941i
$793$	−13.4243	−	29.3951i	−0.476710	−	1.04385i
$794$	0.969646	+	0.476743i	0.0344115	+	0.0169190i
$795$	9.89890	+	10.1857i	0.351078	+	0.361250i
$796$	16.6971	+	0.954777i	0.591814	+	0.0338412i
$797$	−2.91417	+	11.0867i	−0.103225	+	0.392710i	−0.998617	−	0.0525689i	$-0.983259\pi$
$797$	−2.91417	+	11.0867i	−0.103225	+	0.392710i	0.895392	+	0.445279i	$0.146895\pi$
$798$	−0.0547007	−	1.91477i	−0.00193638	−	0.0677823i
$799$	−0.992114	+	1.88027i	−0.0350985	+	0.0665190i
$800$	−0.725432	−	3.58015i	−0.0256479	−	0.126577i
$801$	−0.242605	−	0.922965i	−0.00857202	−	0.0326113i
$802$	−0.882069	+	0.258999i	−0.0311469	+	0.00914557i
$803$	−11.9155	+	38.4650i	−0.420490	+	1.35740i
$804$	−35.4783	−	10.4174i	−1.25122	−	0.367393i
$805$	−0.173854	+	6.08570i	−0.00612756	+	0.214493i
$806$	−13.2660	−	7.49163i	−0.467274	−	0.263882i
$807$	−21.4076	−	15.5535i	−0.753584	−	0.547510i
$808$	−3.95324	−	1.67065i	−0.139075	−	0.0587734i
$809$	48.4704	−	8.38813i	1.70413	−	0.294911i	0.766421	−	0.642338i	$-0.222036\pi$
$809$	48.4704	−	8.38813i	1.70413	−	0.294911i	0.937707	+	0.347428i	$0.112945\pi$
$810$	0.121427	+	1.41375i	0.00426651	+	0.0496741i
$811$	−0.907079	+	10.5609i	−0.0318518	+	0.370844i	0.963000	+	0.269502i	$0.0868591\pi$
$811$	−0.907079	+	10.5609i	−0.0318518	+	0.370844i	−0.994852	+	0.101342i	$0.967686\pi$
$812$	−7.88167	−	1.36398i	−0.276592	−	0.0478662i
$813$	−22.4713	−	14.4414i	−0.788103	−	0.506483i
$814$	−2.54595	−	6.28217i	−0.0892354	−	0.220190i
$815$	14.1018	−	9.06270i	0.493966	−	0.317453i
$816$	−2.68292	+	1.13381i	−0.0939210	+	0.0396913i
$817$	17.0176	+	3.95728i	0.595371	+	0.138448i
$818$	−2.26978	−	5.82988i	−0.0793610	−	0.203837i
$819$	2.49078	−	4.13050i	0.0870350	−	0.144331i
$820$	−3.41149	−	10.4995i	−0.119134	−	0.366658i
$821$	2.80314	+	3.63518i	0.0978304	+	0.126869i	0.838273	−	0.545251i	$-0.183566\pi$
$821$	2.80314	+	3.63518i	0.0978304	+	0.126869i	−0.740442	+	0.672120i	$0.765384\pi$
$822$	−1.73746	+	4.46264i	−0.0606010	+	0.155652i
$823$	0.00602487	−	0.00881109i	0.000210014	−	0.000307135i	−0.825367	−	0.564597i	$-0.809032\pi$
$823$	0.00602487	−	0.00881109i	0.000210014	−	0.000307135i	0.825577	+	0.564290i	$0.190850\pi$
$824$	0.835247	+	5.80927i	0.0290972	+	0.202375i
$825$	−1.94060	−	4.09912i	−0.0675630	−	0.142713i
$826$	−0.243904	+	1.69639i	−0.00848651	+	0.0590250i
$827$	−7.33908	−	6.73574i	−0.255205	−	0.234225i	0.538354	−	0.842719i	$-0.319047\pi$
$827$	−7.33908	−	6.73574i	−0.255205	−	0.234225i	−0.793558	+	0.608494i	$0.791774\pi$
$828$	−15.0493	+	0.860552i	−0.523000	+	0.0299062i
$829$	2.57236	−	12.6951i	0.0893418	−	0.440919i	−0.910295	−	0.413961i	$-0.864145\pi$
$829$	2.57236	−	12.6951i	0.0893418	−	0.440919i	0.999637	−	0.0269585i	$-0.00858220\pi$
$830$	3.97677	+	3.25179i	0.138036	+	0.112871i
$831$	−12.5501	+	6.17046i	−0.435358	+	0.214051i
$832$	25.7750	+	9.19649i	0.893586	+	0.318831i
$833$	2.41516	−	3.13204i	0.0836804	−	0.108519i
$834$	−1.73143	−	2.87126i	−0.0599546	−	0.0994235i
$835$	−9.93980	+	11.4711i	−0.343981	+	0.396975i
$836$	−27.6989	+	14.0951i	−0.957988	+	0.487490i
$837$	−34.8241	−	40.1892i	−1.20370	−	1.38914i
$838$	2.67209	−	8.22386i	0.0923059	−	0.284088i
$839$	−4.34979	+	1.55200i	−0.150172	+	0.0535811i	−0.410066	−	0.912056i	$-0.634494\pi$
$839$	−4.34979	+	1.55200i	−0.150172	+	0.0535811i	0.259894	+	0.965637i	$0.416312\pi$
$840$	−1.04969	+	1.08011i	−0.0362179	+	0.0372673i
$841$	3.73605	−	3.42892i	0.128829	−	0.118239i
$842$	−4.75634	−	6.95592i	−0.163914	−	0.239717i
$843$	−38.0808	+	8.85531i	−1.31157	+	0.304993i
$844$	36.9823	−	26.8692i	1.27298	−	0.924876i
$845$	11.3322	−	1.30025i	0.389841	−	0.0447300i
$846$	−1.24419			−0.0427762
$847$	3.70842	−	8.74971i	0.127423	−	0.300643i
$848$	−34.9821			−1.20129
$849$	−10.9172	+	1.25263i	−0.374676	+	0.0429900i
$850$	−0.167576	+	0.121751i	−0.00574781	+	0.00417603i
$851$	−42.8331	+	9.96042i	−1.46830	+	0.341439i
$852$	3.30676	+	4.83599i	0.113288	+	0.165678i
$853$	28.1664	−	25.8509i	0.964398	−	0.885117i	−0.0290294	−	0.999579i	$-0.509242\pi$
$853$	28.1664	−	25.8509i	0.964398	−	0.885117i	0.993428	+	0.114462i	$0.0365144\pi$
$854$	−1.28990	+	1.32728i	−0.0441395	+	0.0454184i
$855$	−5.26968	+	1.88022i	−0.180219	+	0.0643021i
$856$	−1.89341	+	5.82733i	−0.0647156	+	0.199174i
$857$	16.8015	+	19.3900i	0.573928	+	0.662349i	0.966288	−	0.257463i	$-0.0828866\pi$
$857$	16.8015	+	19.3900i	0.573928	+	0.662349i	−0.392360	+	0.919812i	$0.628341\pi$
$858$	−7.30117	−	0.736113i	−0.249258	−	0.0251305i
$859$	28.3030	−	32.6634i	0.965685	−	1.11446i	−0.0276990	−	0.999616i	$-0.508818\pi$
$859$	28.3030	−	32.6634i	0.965685	−	1.11446i	0.993384	−	0.114843i	$-0.0366366\pi$
$860$	−3.44927	−	5.71997i	−0.117619	−	0.195049i
$861$	−4.20770	+	5.45664i	−0.143398	+	0.185962i
$862$	1.10856	+	0.395535i	0.0377578	+	0.0134720i
$863$	33.6857	−	16.5621i	1.14667	−	0.563782i	0.233906	−	0.972259i	$-0.424849\pi$
$863$	33.6857	−	16.5621i	1.14667	−	0.563782i	0.912768	+	0.408477i	$0.133940\pi$
$864$	−15.9709	−	13.0593i	−0.543340	−	0.444287i
$865$	1.70846	−	8.43160i	0.0580895	−	0.286683i
$866$	−6.95960	+	0.397965i	−0.236497	+	0.0135234i
$867$	−16.7236	−	15.3488i	−0.567964	−	0.521273i
$868$	2.19117	−	15.2399i	0.0743732	−	0.517277i
$869$	8.60198	+	54.4948i	0.291802	+	1.84861i
$870$	0.311782	+	2.16849i	0.0105704	+	0.0735187i
$871$	39.8381	−	58.2614i	1.34986	−	1.97411i
$872$	−1.73465	+	4.45541i	−0.0587426	+	0.150879i
$873$	−1.60869	−	2.08618i	−0.0544458	−	0.0706065i
$874$	−3.53108	−	10.8676i	−0.119441	−	0.367601i
$875$	0.446127	−	0.739819i	0.0150819	−	0.0250105i
$876$	11.4009	+	29.2831i	0.385202	+	0.989383i
$877$	−14.6616	−	3.40942i	−0.495088	−	0.115128i	−0.0284844	−	0.999594i	$-0.509068\pi$
$877$	−14.6616	−	3.40942i	−0.495088	−	0.115128i	−0.466604	+	0.884466i	$0.654523\pi$
$878$	−0.741928	+	0.313541i	−0.0250388	+	0.0105815i
$879$	5.04963	−	3.24520i	0.170320	−	0.109458i
$880$	10.5711	+	3.60861i	0.356353	+	0.121646i
$881$	−35.5017	−	22.8156i	−1.19608	−	0.768675i	−0.217808	−	0.975992i	$-0.569891\pi$
$881$	−35.5017	−	22.8156i	−1.19608	−	0.768675i	−0.978274	+	0.207316i	$0.933527\pi$
$882$	2.28077	+	0.394702i	0.0767974	+	0.0132903i
$883$	−2.28252	+	26.5750i	−0.0768131	+	0.894318i	0.851945	+	0.523632i	$0.175423\pi$
$883$	−2.28252	+	26.5750i	−0.0768131	+	0.894318i	−0.928758	+	0.370687i	$0.879122\pi$
$884$	−0.506072	−	5.89209i	−0.0170210	−	0.198172i
$885$	−8.16135	+	1.41238i	−0.274341	+	0.0474765i
$886$	7.26836	+	3.07163i	0.244185	+	0.103194i
$887$	0.563258	+	0.409231i	0.0189124	+	0.0137406i	0.597201	−	0.802091i	$-0.296279\pi$
$887$	0.563258	+	0.409231i	0.0189124	+	0.0137406i	−0.578289	+	0.815832i	$0.696279\pi$
$888$	−9.47301	−	5.34966i	−0.317893	−	0.179523i
$889$	−0.308468	+	10.7978i	−0.0103457	+	0.362146i
$890$	−0.265364	−	0.0779180i	−0.00889503	−	0.00261182i
$891$	−12.9809	−	6.16199i	−0.434877	−	0.206435i
$892$	48.0962	−	14.1223i	1.61038	−	0.472850i
$893$	4.23077	+	16.0955i	0.141577	+	0.538616i
$894$	1.72514	+	8.51391i	0.0576974	+	0.284748i
$895$	−2.34943	+	4.45266i	−0.0785327	+	0.148836i
$896$	−0.224994	−	7.87581i	−0.00751651	−	0.263112i
$897$	−12.1026	+	46.0432i	−0.404095	+	1.53734i
$898$	−1.01736	−	0.0581745i	−0.0339496	−	0.00194131i
$899$	−32.1009	−	33.0311i	−1.07063	−	1.10165i
$900$	1.91955	+	0.943777i	0.0639849	+	0.0314592i
$901$	2.72892	+	5.97550i	0.0909135	+	0.199073i
$902$	−6.19028	−	1.35000i	−0.206114	−	0.0449500i
$903$	−1.73188	+	3.79228i	−0.0576333	+	0.126199i
$904$	5.92890	−	4.84804i	0.197192	−	0.161243i
$905$	5.09213	+	9.65066i	0.169268	+	0.320799i
$906$	−8.38657	+	4.73612i	−0.278625	+	0.157347i
$907$	46.8278	+	5.37299i	1.55489	+	0.178407i	0.848416	−	0.529330i	$-0.177557\pi$
$907$	46.8278	+	5.37299i	1.55489	+	0.178407i	0.706476	+	0.707737i	$0.250284\pi$
$908$	22.2748	+	2.55579i	0.739214	+	0.0848170i
$909$	3.31256	−	1.87069i	0.109871	−	0.0620469i
$910$	−0.652330	−	1.23630i	−0.0216245	−	0.0409831i
$911$	−33.9163	+	27.7332i	−1.12370	+	0.918843i	−0.997322	−	0.0731394i	$-0.976698\pi$
$911$	−33.9163	+	27.7332i	−1.12370	+	0.918843i	−0.126376	+	0.991982i	$0.540335\pi$
$912$	−9.47176	+	20.7403i	−0.313641	+	0.686779i
$913$	−48.7501	+	18.1539i	−1.61339	+	0.600805i
$914$	4.62963	+	10.1375i	0.153135	+	0.335318i
$915$	−8.02690	−	3.94656i	−0.265361	−	0.130469i
$916$	−18.5109	−	19.0473i	−0.611617	−	0.629339i
$917$	−9.52215	−	0.544496i	−0.314449	−	0.0179809i
$918$	−0.297393	+	1.13140i	−0.00981543	+	0.0373418i
$919$	−1.18210	−	41.3789i	−0.0389938	−	1.36496i	−0.749842	−	0.661617i	$-0.769870\pi$
$919$	−1.18210	−	41.3789i	−0.0389938	−	1.36496i	0.710848	−	0.703346i	$-0.248311\pi$
$920$	−4.19282	+	7.94629i	−0.138233	+	0.261981i
$921$	−4.85881	−	23.9792i	−0.160103	−	0.790141i
$922$	−0.542656	−	2.06448i	−0.0178714	−	0.0679899i
$923$	−10.7295	+	3.15048i	−0.353167	+	0.103699i
$924$	−1.98377	−	7.14571i	−0.0652613	−	0.235077i
$925$	5.98749	+	1.75809i	0.196867	+	0.0578055i
$926$	−0.0483909	+	1.69390i	−0.00159022	+	0.0556650i
$927$	−4.52995	−	2.55818i	−0.148783	−	0.0840217i
$928$	−14.4563	−	10.5031i	−0.474552	−	0.344782i
$929$	−31.1755	−	13.1749i	−1.02284	−	0.432254i	−0.187658	−	0.982234i	$-0.560090\pi$
$929$	−31.1755	−	13.1749i	−1.02284	−	0.432254i	−0.835178	+	0.549980i	$0.814635\pi$
$930$	−4.15521	+	0.719087i	−0.136255	+	0.0235798i
$931$	−2.64948	−	30.8473i	−0.0868332	−	1.01098i
$932$	−1.72312	+	20.0620i	−0.0564428	+	0.657152i
$933$	−11.7886	−	2.04010i	−0.385941	−	0.0667898i
$934$	11.2035	+	7.20007i	0.366590	+	0.235593i
$935$	−0.208236	−	2.08722i	−0.00681003	−	0.0682594i
$936$	5.98812	−	3.84833i	0.195728	−	0.125787i
$937$	−45.9786	+	19.4307i	−1.50206	+	0.634775i	−0.976409	−	0.215928i	$-0.930722\pi$
$937$	−45.9786	+	19.4307i	−1.50206	+	0.634775i	−0.525648	+	0.850702i	$0.676177\pi$
$938$	−3.93728	−	0.915574i	−0.128557	−	0.0298946i
$939$	8.37909	+	21.5215i	0.273441	+	0.702329i
$940$	3.28553	−	5.44844i	0.107162	−	0.177708i
$941$	0.706254	+	2.17363i	0.0230232	+	0.0708582i	0.961908	−	0.273373i	$-0.0881395\pi$
$941$	0.706254	+	2.17363i	0.0230232	+	0.0708582i	−0.938885	+	0.344232i	$0.888139\pi$
$942$	−3.07071	−	3.98217i	−0.100049	−	0.129746i
$943$	−14.9129	+	38.3034i	−0.485630	+	1.24733i
$944$	11.5144	−	16.8393i	0.374763	−	0.548074i
$945$	−0.694376	−	4.82949i	−0.0225880	−	0.157103i
$946$	−3.83301	+	0.0527384i	−0.124622	+	0.00171467i
$947$	1.22996	−	8.55459i	0.0399684	−	0.277987i	−0.960030	−	0.279898i	$-0.909699\pi$
$947$	1.22996	−	8.55459i	0.0399684	−	0.277987i	0.999998	+	0.00191140i	$0.000608419\pi$
$948$	31.7187	+	29.1111i	1.03017	+	0.945485i
$949$	−59.8842	+	3.42430i	−1.94392	+	0.111158i
$950$	−0.322012	+	1.58919i	−0.0104474	+	0.0515601i
$951$	−23.3049	−	19.0563i	−0.755713	−	0.617944i
$952$	−0.625128	+	0.307355i	−0.0202605	+	0.00996143i
$953$	28.6917	+	10.2372i	0.929417	+	0.331615i	0.757005	−	0.653410i	$-0.226662\pi$
$953$	28.6917	+	10.2372i	0.929417	+	0.331615i	0.172412	+	0.985025i	$0.444844\pi$
$954$	−2.34764	+	3.04448i	−0.0760078	+	0.0985687i
$955$	−8.95213	−	14.8454i	−0.289684	−	0.480387i
$956$	−33.4517	+	38.6053i	−1.08191	+	1.24859i
$957$	−20.5523	−	8.35411i	−0.664361	−	0.270050i
$958$	−6.87825	−	7.93792i	−0.222226	−	0.256463i
$959$	2.85468	−	8.78579i	0.0921823	−	0.283708i
$960$	7.13430	−	2.54551i	0.230259	−	0.0821561i
$961$	40.1848	−	41.3492i	1.29628	−	1.33385i
$962$	7.43881	−	6.82727i	0.239837	−	0.220120i
$963$	−3.06564	−	4.48335i	−0.0987887	−	0.144474i
$964$	15.8821	−	3.69321i	0.511527	−	0.118950i
$965$	−10.4058	+	7.56028i	−0.334976	+	0.243374i
$966$	2.70886	−	0.310813i	0.0871561	−	0.0100002i
$967$	−33.9450			−1.09160			−0.545798	−	0.837917i	$-0.683774\pi$
$967$	−33.9450			−1.09160			−0.545798	+	0.837917i	$0.683774\pi$
$968$	10.6084	−	9.17286i	0.340967	−	0.294827i
$969$	4.28165			0.137546
$970$	−0.758487	+	0.0870283i	−0.0243536	+	0.00279431i
$971$	6.81409	−	4.95073i	0.218675	−	0.158876i	−0.473055	−	0.881033i	$-0.656849\pi$
$971$	6.81409	−	4.95073i	0.218675	−	0.158876i	0.691730	+	0.722156i	$0.256849\pi$
$972$	20.3133	−	4.72366i	0.651551	−	0.151512i
$973$	3.65071	+	5.33899i	0.117036	+	0.171160i
$974$	−0.770537	+	0.707193i	−0.0246896	+	0.0226599i
$975$	4.70820	−	4.84462i	0.150783	−	0.155152i
$976$	20.7489	−	7.40319i	0.664156	−	0.236970i
$977$	2.60464	−	8.01625i	0.0833298	−	0.256463i	−0.900707	−	0.434427i	$-0.856951\pi$
$977$	2.60464	−	8.01625i	0.0833298	−	0.256463i	0.984037	+	0.177964i	$0.0569510\pi$
$978$	−4.91628	−	5.67369i	−0.157205	−	0.181425i
$979$	2.03714	−	1.92197i	0.0651071	−	0.0614263i
$980$	−7.75124	+	8.94541i	−0.247604	+	0.285751i
$981$	−2.18855	−	3.62930i	−0.0698750	−	0.115875i
$982$	0.471740	−	0.611763i	0.0150538	−	0.0195221i
$983$	−3.88841	−	1.38738i	−0.124021	−	0.0442506i	0.273310	−	0.961926i	$-0.411882\pi$
$983$	−3.88841	−	1.38738i	−0.124021	−	0.0442506i	−0.397331	+	0.917675i	$0.630063\pi$
$984$	−9.12538	+	4.48665i	−0.290906	+	0.143029i
$985$	2.23567	+	1.82809i	0.0712342	+	0.0582479i
$986$	−0.201222	+	0.993068i	−0.00640820	+	0.0316257i
$987$	−3.96465	+	0.226707i	−0.126196	+	0.00721616i
$988$	−34.1066	−	31.3028i	−1.08508	−	0.995875i
$989$	−3.53929	+	24.6163i	−0.112543	+	0.782753i
$990$	1.02348	−	0.677828i	0.0325284	−	0.0215428i
$991$	4.56515	+	31.7513i	0.145017	+	1.00861i	0.924225	+	0.381848i	$0.124712\pi$
$991$	4.56515	+	31.7513i	0.145017	+	1.00861i	−0.779208	+	0.626765i	$0.784379\pi$
$992$	19.4142	−	28.3924i	0.616403	−	0.901460i
$993$	−4.88066	+	12.5359i	−0.154883	+	0.397814i
$994$	0.391096	+	0.507183i	0.0124048	+	0.0160869i
$995$	2.73051	+	8.40364i	0.0865630	+	0.266413i
$996$	−20.9633	+	34.7637i	−0.664247	+	1.10153i
$997$	−10.5379	−	27.0664i	−0.333739	−	0.857202i	−0.994318	−	0.106446i	$-0.966053\pi$
$997$	−10.5379	−	27.0664i	−0.333739	−	0.857202i	0.660579	−	0.750756i	$-0.270311\pi$
$998$	−11.2555	−	2.61736i	−0.356287	−	0.0828510i
$999$	32.4631	−	13.7190i	1.02709	−	0.434051i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	605.2.s.b.416.10	yes	880
121.16	even	55	inner	605.2.s.b.16.10	✓	880

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
605.2.s.b.16.10	✓	880	121.16	even	55	inner
605.2.s.b.416.10	yes	880	1.1	even	1	trivial

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.s (of order \(55\), degree \(40\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.325381 + 0.0373340i) q^{2} +(1.10628 - 0.803759i) q^{3} +(-1.84355 + 0.428698i) q^{4} +(-0.564443 - 0.825472i) q^{5} +(-0.329954 + 0.302829i) q^{6} +(0.602100 - 0.619546i) q^{7} +(1.20079 - 0.428440i) q^{8} +(-0.349226 + 1.07481i) q^{9} +O(q^{10})\)	\(q+(-0.325381 + 0.0373340i) q^{2} +(1.10628 - 0.803759i) q^{3} +(-1.84355 + 0.428698i) q^{4} +(-0.564443 - 0.825472i) q^{5} +(-0.329954 + 0.302829i) q^{6} +(0.602100 - 0.619546i) q^{7} +(1.20079 - 0.428440i) q^{8} +(-0.349226 + 1.07481i) q^{9} +(0.214477 + 0.247520i) q^{10} +(-3.25996 + 0.610465i) q^{11} +(-1.69491 + 1.95603i) q^{12} +(-2.55116 - 4.23062i) q^{13} +(-0.172782 + 0.224067i) q^{14} +(-1.28791 - 0.459526i) q^{15} +(3.02235 - 1.48599i) q^{16} +(-0.489602 - 0.400345i) q^{17} +(0.0735045 - 0.362759i) q^{18} +(-4.94279 + 0.282639i) q^{19} +(1.39445 + 1.27982i) q^{20} +(0.168125 - 1.16933i) q^{21} +(1.03794 - 0.320341i) q^{22} +(-1.00291 - 6.97541i) q^{23} +(0.984043 - 1.43912i) q^{24} +(-0.362808 + 0.931864i) q^{25} +(0.988044 + 1.28132i) q^{26} +(1.74523 + 5.37126i) q^{27} +(-0.844400 + 1.40028i) q^{28} +(1.77475 + 4.55842i) q^{29} +(0.436218 + 0.101438i) q^{30} +(-8.67321 + 3.66533i) q^{31} +(-3.07302 + 1.97491i) q^{32} +(-3.11576 + 3.29557i) q^{33} +(0.174253 + 0.111986i) q^{34} +(-0.851269 - 0.147318i) q^{35} +(0.183046 - 2.13117i) q^{36} +(-0.534010 - 6.21737i) q^{37} +(1.59774 - 0.276499i) q^{38} +(-6.22270 - 2.62973i) q^{39} +(-1.03144 - 0.749385i) q^{40} +(-5.07883 - 2.86814i) q^{41} +(-0.0110487 + 0.386756i) q^{42} +(-3.38606 - 0.994238i) q^{43} +(5.74818 - 2.52296i) q^{44} +(1.08434 - 0.318391i) q^{45} +(0.586748 + 2.23222i) q^{46} +(-0.667560 - 3.29454i) q^{47} +(2.14919 - 4.07317i) q^{48} +(0.178579 + 6.25109i) q^{49} +(0.0832605 - 0.316756i) q^{50} +(-0.863417 - 0.0493720i) q^{51} +(6.51684 + 6.70567i) q^{52} +(-9.32119 - 4.58292i) q^{53} +(-0.768393 - 1.68255i) q^{54} +(2.34398 + 2.34643i) q^{55} +(0.457555 - 1.00191i) q^{56} +(-5.24093 + 4.28549i) q^{57} +(-0.747655 - 1.41696i) q^{58} +(5.27417 - 2.97846i) q^{59} +(2.57132 + 0.295032i) q^{60} +(6.49853 + 0.745637i) q^{61} +(2.68525 - 1.51643i) q^{62} +(0.455623 + 0.863502i) q^{63} +(-4.28831 + 3.50653i) q^{64} +(-2.05228 + 4.49386i) q^{65} +(0.890771 - 1.18864i) q^{66} +(5.93481 + 12.9954i) q^{67} +(1.07423 + 0.528163i) q^{68} +(-6.71605 - 6.91065i) q^{69} +(0.282487 + 0.0161532i) q^{70} +(0.575431 - 2.18917i) q^{71} +(0.0411442 + 1.44023i) q^{72} +(5.66598 - 10.7382i) q^{73} +(0.405876 + 2.00308i) q^{74} +(0.347627 + 1.32251i) q^{75} +(8.99109 - 2.64002i) q^{76} +(-1.58461 + 2.38726i) q^{77} +(2.12292 + 0.623347i) q^{78} +(0.475008 - 16.6275i) q^{79} +(-2.93259 - 1.65611i) q^{80} +(3.50505 + 2.54657i) q^{81} +(1.75963 + 0.743626i) q^{82} +(15.4551 - 2.67460i) q^{83} +(0.191346 + 2.22780i) q^{84} +(-0.0541215 + 0.630125i) q^{85} +(1.13888 + 0.197091i) q^{86} +(5.62724 + 3.61641i) q^{87} +(-3.65297 + 2.12973i) q^{88} +(-0.710388 + 0.456539i) q^{89} +(-0.340937 + 0.144081i) q^{90} +(-4.15712 - 0.966697i) q^{91} +(4.83926 + 12.4295i) q^{92} +(-6.64895 + 11.0260i) q^{93} +(0.340209 + 1.04706i) q^{94} +(3.02324 + 3.92060i) q^{95} +(-1.81227 + 4.65477i) q^{96} +(-1.31576 + 1.92424i) q^{97} +(-0.291484 - 2.02732i) q^{98} +(0.482329 - 3.71701i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 880 q + 4 q^{2} - q^{3} + 24 q^{4} + 22 q^{5} - 13 q^{6} + 3 q^{7} + 2 q^{8} - 217 q^{9}+O(q^{10}) \) 880 * q + 4 * q^2 - q^3 + 24 * q^4 + 22 * q^5 - 13 * q^6 + 3 * q^7 + 2 * q^8 - 217 * q^9	\( 880 q + 4 q^{2} - q^{3} + 24 q^{4} + 22 q^{5} - 13 q^{6} + 3 q^{7} + 2 q^{8} - 217 q^{9} - 6 q^{10} + 5 q^{11} - 5 q^{12} - 26 q^{13} - 108 q^{14} - 12 q^{15} + 34 q^{16} - q^{17} - 14 q^{18} + q^{19} + 19 q^{20} - 10 q^{21} + 275 q^{22} - 51 q^{23} + 283 q^{24} + 22 q^{25} - 16 q^{27} - 4 q^{28} - 19 q^{29} + q^{30} - 34 q^{31} - 122 q^{32} + 19 q^{33} + 52 q^{34} + 8 q^{35} - 21 q^{36} - 109 q^{37} - 10 q^{38} - 9 q^{39} - 64 q^{40} + 4 q^{41} - 49 q^{42} - 97 q^{43} + 17 q^{44} - 80 q^{45} - 91 q^{46} + 166 q^{47} - 159 q^{48} + 175 q^{49} + 4 q^{50} - 112 q^{51} - 128 q^{52} - 141 q^{53} - 37 q^{54} - 5 q^{55} + 79 q^{56} - 204 q^{57} - 190 q^{58} + 9 q^{59} - 22 q^{60} + 2 q^{61} - 105 q^{62} - q^{63} - 176 q^{64} - 14 q^{65} - 112 q^{66} - 13 q^{67} - 35 q^{68} - 53 q^{69} + 24 q^{70} - 50 q^{71} + 705 q^{72} + q^{73} + 40 q^{74} - q^{75} - 148 q^{76} - 104 q^{77} - 187 q^{78} - 83 q^{79} - q^{80} - 238 q^{81} - 54 q^{82} - 151 q^{83} + 4 q^{84} - 29 q^{85} - 39 q^{86} - 74 q^{87} - 143 q^{88} - 52 q^{89} - 28 q^{90} - 188 q^{91} - 253 q^{92} + 122 q^{93} - 187 q^{94} + 122 q^{95} - 155 q^{96} + 283 q^{97} - 92 q^{98} + 172 q^{99}+O(q^{100}) \) 880 * q + 4 * q^2 - q^3 + 24 * q^4 + 22 * q^5 - 13 * q^6 + 3 * q^7 + 2 * q^8 - 217 * q^9 - 6 * q^10 + 5 * q^11 - 5 * q^12 - 26 * q^13 - 108 * q^14 - 12 * q^15 + 34 * q^16 - q^17 - 14 * q^18 + q^19 + 19 * q^20 - 10 * q^21 + 275 * q^22 - 51 * q^23 + 283 * q^24 + 22 * q^25 - 16 * q^27 - 4 * q^28 - 19 * q^29 + q^30 - 34 * q^31 - 122 * q^32 + 19 * q^33 + 52 * q^34 + 8 * q^35 - 21 * q^36 - 109 * q^37 - 10 * q^38 - 9 * q^39 - 64 * q^40 + 4 * q^41 - 49 * q^42 - 97 * q^43 + 17 * q^44 - 80 * q^45 - 91 * q^46 + 166 * q^47 - 159 * q^48 + 175 * q^49 + 4 * q^50 - 112 * q^51 - 128 * q^52 - 141 * q^53 - 37 * q^54 - 5 * q^55 + 79 * q^56 - 204 * q^57 - 190 * q^58 + 9 * q^59 - 22 * q^60 + 2 * q^61 - 105 * q^62 - q^63 - 176 * q^64 - 14 * q^65 - 112 * q^66 - 13 * q^67 - 35 * q^68 - 53 * q^69 + 24 * q^70 - 50 * q^71 + 705 * q^72 + q^73 + 40 * q^74 - q^75 - 148 * q^76 - 104 * q^77 - 187 * q^78 - 83 * q^79 - q^80 - 238 * q^81 - 54 * q^82 - 151 * q^83 + 4 * q^84 - 29 * q^85 - 39 * q^86 - 74 * q^87 - 143 * q^88 - 52 * q^89 - 28 * q^90 - 188 * q^91 - 253 * q^92 + 122 * q^93 - 187 * q^94 + 122 * q^95 - 155 * q^96 + 283 * q^97 - 92 * q^98 + 172 * q^99

Introduction

L-functions

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