LMFDB - Embedded newform 529.2.c.h.399.1

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [529,2,Mod(118,529)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("529.118"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(529, base_ring=CyclotomicField(22)) chi = DirichletCharacter(H, H._module([16])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 529 = 23^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	529.c (of order $11$, degree $10$, not minimal)

Newform invariants

comment:select newform

sage:traces = [10,4,4,8,-8,-5,5] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(7)] == traces)

gp:f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$4.22408626693$
Analytic rank:	$0$
Dimension:	$10$
Coefficient field:	$\Q(\zeta_{22})$
comment:defining polynomial gp:f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 $ x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	no (minimal twist has level 23)
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			399.1
Root			$-0.415415 + 0.909632i$ of defining polynomial
Character	$\chi$	$=$	529.399
Dual form			529.2.c.h.118.1

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.0681534 + 0.474017i) q^{2} +(0.915415 + 2.00448i) q^{3} +(1.69894 + 0.498853i) q^{4} +(-1.69894 - 1.96068i) q^{5} +(-1.01255 + 0.297310i) q^{6} +(2.85848 + 1.83703i) q^{7} +(-0.750131 + 1.64256i) q^{8} +(-1.21537 + 1.40261i) q^{9} +(1.04518 - 0.671699i) q^{10} +(0.0325485 + 0.226380i) q^{11} +(0.555293 + 3.86215i) q^{12} +(-2.57385 + 1.65411i) q^{13} +(-1.06560 + 1.22977i) q^{14} +(2.37491 - 5.20032i) q^{15} +(2.25168 + 1.44706i) q^{16} +(-1.84871 + 0.542830i) q^{17} +(-0.582030 - 0.671699i) q^{18} +(1.85592 + 0.544948i) q^{19} +(-1.90830 - 4.17860i) q^{20} +(-1.06560 + 7.41140i) q^{21} -0.109526 q^{22} -3.97915 q^{24} +(-0.246298 + 1.71304i) q^{25} +(-0.608660 - 1.33278i) q^{26} +(2.41899 + 0.710278i) q^{27} +(3.93997 + 4.54696i) q^{28} +(6.21051 - 1.82357i) q^{29} +(2.30318 + 1.48017i) q^{30} +(0.625696 - 1.37008i) q^{31} +(-3.20441 + 3.69808i) q^{32} +(-0.423978 + 0.272474i) q^{33} +(-0.131315 - 0.913316i) q^{34} +(-1.25455 - 8.72556i) q^{35} +(-2.76454 + 1.77666i) q^{36} +(-4.41978 + 5.10069i) q^{37} +(-0.384802 + 0.842599i) q^{38} +(-5.67177 - 3.64502i) q^{39} +(4.49496 - 1.31984i) q^{40} +(-5.28255 - 6.09639i) q^{41} +(-3.44051 - 1.01022i) q^{42} +(-1.10477 - 2.41912i) q^{43} +(-0.0576324 + 0.400842i) q^{44} +4.81491 q^{45} -1.43889 q^{47} +(-0.839393 + 5.83810i) q^{48} +(1.88830 + 4.13480i) q^{49} +(-0.795225 - 0.233499i) q^{50} +(-2.78043 - 3.20879i) q^{51} +(-5.19797 + 1.52626i) q^{52} +(-7.21866 - 4.63915i) q^{53} +(-0.501546 + 1.09823i) q^{54} +(0.388560 - 0.448422i) q^{55} +(-5.16166 + 3.31720i) q^{56} +(0.606602 + 4.21901i) q^{57} +(0.441136 + 3.06817i) q^{58} +(0.0519469 - 0.0333843i) q^{59} +(6.62902 - 7.65030i) q^{60} +(0.0184565 - 0.0404141i) q^{61} +(0.606800 + 0.389966i) q^{62} +(-6.05075 + 1.77666i) q^{63} +(1.97100 + 2.27466i) q^{64} +(7.61599 + 2.23626i) q^{65} +(-0.100262 - 0.219543i) q^{66} +(1.76584 - 12.2817i) q^{67} -3.41164 q^{68} +4.22157 q^{70} +(1.18639 - 8.25154i) q^{71} +(-1.39218 - 3.04846i) q^{72} +(0.641156 + 0.188260i) q^{73} +(-2.11659 - 2.44268i) q^{74} +(-3.65922 + 1.07444i) q^{75} +(2.88125 + 1.85167i) q^{76} +(-0.322827 + 0.706893i) q^{77} +(2.11435 - 2.44009i) q^{78} +(10.0690 - 6.47096i) q^{79} +(-0.988230 - 6.87329i) q^{80} +(1.58301 + 11.0101i) q^{81} +(3.24982 - 2.08853i) q^{82} +(-0.236100 + 0.272474i) q^{83} +(-5.50759 + 12.0599i) q^{84} +(4.20516 + 2.70249i) q^{85} +(1.22200 - 0.358811i) q^{86} +(9.34051 + 10.7795i) q^{87} +(-0.396257 - 0.116352i) q^{88} +(6.69640 + 14.6631i) q^{89} +(-0.328152 + 2.28235i) q^{90} -10.3959 q^{91} +3.31908 q^{93} +(0.0980649 - 0.682057i) q^{94} +(-2.08463 - 4.56470i) q^{95} +(-10.3461 - 3.03789i) q^{96} +(-0.261003 - 0.301213i) q^{97} +(-2.08866 + 0.613285i) q^{98} +(-0.357081 - 0.229482i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 10 q + 4 q^{2} + 4 q^{3} + 8 q^{4} - 8 q^{5} - 5 q^{6} + 5 q^{7} - 7 q^{8} - 13 q^{9} + 10 q^{10} - 7 q^{11} - 21 q^{12} - 3 q^{13} - 9 q^{14} + 10 q^{15} - 10 q^{16} - 12 q^{17} - 14 q^{18} - 2 q^{19}+ \cdots - 14 q^{99}+O(q^{100}) $ 10 * q + 4 * q^2 + 4 * q^3 + 8 * q^4 - 8 * q^5 - 5 * q^6 + 5 * q^7 - 7 * q^8 - 13 * q^9 + 10 * q^10 - 7 * q^11 - 21 * q^12 - 3 * q^13 - 9 * q^14 + 10 * q^15 - 10 * q^16 - 12 * q^17 - 14 * q^18 - 2 * q^19 - 2 * q^20 - 9 * q^21 + 6 * q^22 - 38 * q^24 - 15 * q^25 - 10 * q^26 + 7 * q^27 - 18 * q^28 + 3 * q^29 + 26 * q^30 + 10 * q^31 + 10 * q^32 - 5 * q^33 + 26 * q^34 - 4 * q^35 - 17 * q^36 - 3 * q^37 - 14 * q^38 - 10 * q^39 - q^40 - 4 * q^41 - 19 * q^42 - 21 * q^44 + 6 * q^45 - 18 * q^47 - 4 * q^48 + 4 * q^49 + 5 * q^50 + 15 * q^51 + 2 * q^52 - 18 * q^53 + 27 * q^54 - 12 * q^55 - 31 * q^56 - 36 * q^57 + 43 * q^58 + q^59 + 41 * q^60 + 30 * q^61 + 15 * q^62 - q^63 + 13 * q^64 + 42 * q^65 - 24 * q^66 - q^67 + 30 * q^68 + 38 * q^70 + 8 * q^71 - 14 * q^72 - 25 * q^73 + 23 * q^74 + 5 * q^75 - 50 * q^76 - 31 * q^77 + 7 * q^78 - 18 * q^79 + 8 * q^80 - 11 * q^81 + 5 * q^82 - 29 * q^83 - 16 * q^84 - 8 * q^85 + 11 * q^86 + 54 * q^87 - 5 * q^88 + 63 * q^89 + 42 * q^90 + 4 * q^91 + 4 * q^93 + 17 * q^94 + 28 * q^95 - 7 * q^96 + 12 * q^97 - 27 * q^98 - 14 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/529\mathbb{Z}\right)^\times$.

$n$	$5$
$\chi(n)$	$e\left(\frac{3}{11}\right)$

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 $

$2$	−0.0681534	+	0.474017i	−0.0481917	+	0.335181i	0.951435	+	0.307850i	$0.0996096\pi$
$2$	−0.0681534	+	0.474017i	−0.0481917	+	0.335181i	−0.999626	+	0.0273302i	$0.991299\pi$
$3$	0.915415	+	2.00448i	0.528515	+	1.15729i	0.966114	+	0.258116i	$0.0831018\pi$
$3$	0.915415	+	2.00448i	0.528515	+	1.15729i	−0.437599	+	0.899170i	$0.644171\pi$
$4$	1.69894	+	0.498853i	0.849469	+	0.249427i
$5$	−1.69894	−	1.96068i	−0.759788	−	0.876843i	0.235690	−	0.971828i	$-0.424265\pi$
$5$	−1.69894	−	1.96068i	−0.759788	−	0.876843i	−0.995479	+	0.0949856i	$0.969719\pi$
$6$	−1.01255	+	0.297310i	−0.413370	+	0.121376i
$7$	2.85848	+	1.83703i	1.08040	+	0.694333i	0.954650	−	0.297729i	$-0.0962292\pi$
$7$	2.85848	+	1.83703i	1.08040	+	0.694333i	0.125752	+	0.992062i	$0.459866\pi$
$8$	−0.750131	+	1.64256i	−0.265211	+	0.580732i
$9$	−1.21537	+	1.40261i	−0.405123	+	0.467537i
$10$	1.04518	−	0.671699i	0.330516	−	0.212410i
$11$	0.0325485	+	0.226380i	0.00981373	+	0.0682560i	0.994140	−	0.108102i	$-0.0344774\pi$
$11$	0.0325485	+	0.226380i	0.00981373	+	0.0682560i	−0.984326	+	0.176358i	$0.943568\pi$
$12$	0.555293	+	3.86215i	0.160299	+	1.11491i
$13$	−2.57385	+	1.65411i	−0.713857	+	0.458768i	−0.846495	−	0.532397i	$-0.821291\pi$
$13$	−2.57385	+	1.65411i	−0.713857	+	0.458768i	0.132638	+	0.991165i	$0.457655\pi$
$14$	−1.06560	+	1.22977i	−0.284793	+	0.328669i
$15$	2.37491	−	5.20032i	0.613199	−	1.34272i
$16$	2.25168	+	1.44706i	0.562919	+	0.361766i
$17$	−1.84871	+	0.542830i	−0.448378	+	0.131656i	−0.498123	−	0.867106i	$-0.665977\pi$
$17$	−1.84871	+	0.542830i	−0.448378	+	0.131656i	0.0497451	+	0.998762i	$0.484159\pi$
$18$	−0.582030	−	0.671699i	−0.137186	−	0.158321i
$19$	1.85592	+	0.544948i	0.425778	+	0.125020i	0.487599	−	0.873068i	$-0.337873\pi$
$19$	1.85592	+	0.544948i	0.425778	+	0.125020i	−0.0618215	+	0.998087i	$0.519691\pi$
$20$	−1.90830	−	4.17860i	−0.426709	−	0.934362i
$21$	−1.06560	+	7.41140i	−0.232533	+	1.61730i
$22$	−0.109526			−0.0233510
$23$		0			0
$23$		0			0
$24$	−3.97915			−0.812241
$25$	−0.246298	+	1.71304i	−0.0492597	+	0.342608i
$26$	−0.608660	−	1.33278i	−0.119368	−	0.261380i
$27$	2.41899	+	0.710278i	0.465534	+	0.136693i
$28$	3.93997	+	4.54696i	0.744584	+	0.859295i
$29$	6.21051	−	1.82357i	1.15326	−	0.338629i	0.351452	−	0.936206i	$-0.385688\pi$
$29$	6.21051	−	1.82357i	1.15326	−	0.338629i	0.801811	+	0.597577i	$0.203870\pi$
$30$	2.30318	+	1.48017i	0.420502	+	0.270240i
$31$	0.625696	−	1.37008i	0.112378	−	0.246074i	−0.845083	−	0.534635i	$-0.820449\pi$
$31$	0.625696	−	1.37008i	0.112378	−	0.246074i	0.957462	+	0.288560i	$0.0931766\pi$
$32$	−3.20441	+	3.69808i	−0.566464	+	0.653735i
$33$	−0.423978	+	0.272474i	−0.0738050	+	0.0474316i
$34$	−0.131315	−	0.913316i	−0.0225203	−	0.156632i
$35$	−1.25455	−	8.72556i	−0.212057	−	1.47489i
$36$	−2.76454	+	1.77666i	−0.460756	+	0.296110i
$37$	−4.41978	+	5.10069i	−0.726607	+	0.838549i	−0.992085	−	0.125568i	$-0.959925\pi$
$37$	−4.41978	+	5.10069i	−0.726607	+	0.838549i	0.265478	+	0.964117i	$0.414470\pi$
$38$	−0.384802	+	0.842599i	−0.0624231	+	0.136688i
$39$	−5.67177	−	3.64502i	−0.908210	−	0.583671i
$40$	4.49496	−	1.31984i	0.710715	−	0.208685i
$41$	−5.28255	−	6.09639i	−0.824996	−	0.952096i	0.174474	−	0.984662i	$-0.444178\pi$
$41$	−5.28255	−	6.09639i	−0.824996	−	0.952096i	−0.999470	+	0.0325658i	$0.989632\pi$
$42$	−3.44051	−	1.01022i	−0.530882	−	0.155881i
$43$	−1.10477	−	2.41912i	−0.168477	−	0.368912i	0.806495	−	0.591240i	$-0.201362\pi$
$43$	−1.10477	−	2.41912i	−0.168477	−	0.368912i	−0.974972	+	0.222328i	$0.928634\pi$
$44$	−0.0576324	+	0.400842i	−0.00868840	+	0.0604292i
$45$	4.81491			0.717765
$46$		0			0
$47$	−1.43889			−0.209883			−0.104942	−	0.994478i	$-0.533466\pi$
$47$	−1.43889			−0.209883			−0.104942	+	0.994478i	$0.533466\pi$
$48$	−0.839393	+	5.83810i	−0.121156	+	0.842658i
$49$	1.88830	+	4.13480i	0.269757	+	0.590685i
$50$	−0.795225	−	0.233499i	−0.112462	−	0.0330218i
$51$	−2.78043	−	3.20879i	−0.389338	−	0.449320i
$52$	−5.19797	+	1.52626i	−0.720828	+	0.211654i
$53$	−7.21866	−	4.63915i	−0.991560	−	0.637237i	−0.0590020	−	0.998258i	$-0.518792\pi$
$53$	−7.21866	−	4.63915i	−0.991560	−	0.637237i	−0.932558	+	0.361021i	$0.882428\pi$
$54$	−0.501546	+	1.09823i	−0.0682518	+	0.149451i
$55$	0.388560	−	0.448422i	0.0523934	−	0.0604652i
$56$	−5.16166	+	3.31720i	−0.689756	+	0.443279i
$57$	0.606602	+	4.21901i	0.0803464	+	0.558822i
$58$	0.441136	+	3.06817i	0.0579240	+	0.402871i
$59$	0.0519469	−	0.0333843i	0.00676291	−	0.00434626i	−0.537255	−	0.843420i	$-0.680539\pi$
$59$	0.0519469	−	0.0333843i	0.00676291	−	0.00434626i	0.544018	+	0.839074i	$0.316902\pi$
$60$	6.62902	−	7.65030i	0.855803	−	0.987649i
$61$	0.0184565	−	0.0404141i	0.00236311	−	0.00517450i	−0.908447	−	0.418001i	$-0.862731\pi$
$61$	0.0184565	−	0.0404141i	0.00236311	−	0.00517450i	0.910810	+	0.412826i	$0.135458\pi$
$62$	0.606800	+	0.389966i	0.0770636	+	0.0495258i
$63$	−6.05075	+	1.77666i	−0.762323	+	0.223838i
$64$	1.97100	+	2.27466i	0.246375	+	0.284332i
$65$	7.61599	+	2.23626i	0.944647	+	0.277373i
$66$	−0.100262	−	0.219543i	−0.0123414	−	0.0270238i
$67$	1.76584	−	12.2817i	0.215731	−	1.50044i	−0.537823	−	0.843058i	$-0.680753\pi$
$67$	1.76584	−	12.2817i	0.215731	−	1.50044i	0.753555	−	0.657385i	$-0.228338\pi$
$68$	−3.41164			−0.413722
$69$		0			0
$70$	4.22157			0.504574
$71$	1.18639	−	8.25154i	0.140799	−	0.979278i	−0.789833	−	0.613322i	$-0.789833\pi$
$71$	1.18639	−	8.25154i	0.140799	−	0.979278i	0.930632	−	0.365956i	$-0.119258\pi$
$72$	−1.39218	−	3.04846i	−0.164070	−	0.359264i
$73$	0.641156	+	0.188260i	0.0750416	+	0.0220342i	0.319038	−	0.947742i	$-0.396640\pi$
$73$	0.641156	+	0.188260i	0.0750416	+	0.0220342i	−0.243996	+	0.969776i	$0.578458\pi$
$74$	−2.11659	−	2.44268i	−0.246049	−	0.283956i
$75$	−3.65922	+	1.07444i	−0.422531	+	0.124066i
$76$	2.88125	+	1.85167i	0.330502	+	0.212401i
$77$	−0.322827	+	0.706893i	−0.0367896	+	0.0805579i
$78$	2.11435	−	2.44009i	0.239403	−	0.276286i
$79$	10.0690	−	6.47096i	1.13285	−	0.728040i	0.166699	−	0.986008i	$-0.446689\pi$
$79$	10.0690	−	6.47096i	1.13285	−	0.728040i	0.966154	+	0.257967i	$0.0830527\pi$
$80$	−0.988230	−	6.87329i	−0.110487	−	0.768457i
$81$	1.58301	+	11.0101i	0.175890	+	1.22334i
$82$	3.24982	−	2.08853i	0.358882	−	0.230640i
$83$	−0.236100	+	0.272474i	−0.0259153	+	0.0299079i	−0.768559	−	0.639779i	$-0.779026\pi$
$83$	−0.236100	+	0.272474i	−0.0259153	+	0.0299079i	0.742644	+	0.669686i	$0.233572\pi$
$84$	−5.50759	+	12.0599i	−0.600927	+	1.31585i
$85$	4.20516	+	2.70249i	0.456114	+	0.293127i
$86$	1.22200	−	0.358811i	0.131771	−	0.0386916i
$87$	9.34051	+	10.7795i	1.00141	+	1.15569i
$88$	−0.396257	−	0.116352i	−0.0422411	−	0.0124031i
$89$	6.69640	+	14.6631i	0.709817	+	1.55428i	0.827647	+	0.561249i	$0.189679\pi$
$89$	6.69640	+	14.6631i	0.709817	+	1.55428i	−0.117829	+	0.993034i	$0.537594\pi$
$90$	−0.328152	+	2.28235i	−0.0345903	+	0.240581i
$91$	−10.3959			−1.08979
$92$		0			0
$93$	3.31908			0.344172
$94$	0.0980649	−	0.682057i	0.0101146	−	0.0703488i
$95$	−2.08463	−	4.56470i	−0.213878	−	0.468328i
$96$	−10.3461	−	3.03789i	−1.05594	−	0.310053i
$97$	−0.261003	−	0.301213i	−0.0265008	−	0.0305836i	0.742344	−	0.670018i	$-0.233714\pi$
$97$	−0.261003	−	0.301213i	−0.0265008	−	0.0305836i	−0.768845	+	0.639435i	$0.779168\pi$
$98$	−2.08866	+	0.613285i	−0.210986	+	0.0619512i
$99$	−0.357081	−	0.229482i	−0.0358880	−	0.0230638i
$100$	−1.27300	+	2.78749i	−0.127300	+	0.278749i
$101$	12.7596	−	14.7254i	1.26963	−	1.46523i	0.449253	−	0.893405i	$-0.351690\pi$
$101$	12.7596	−	14.7254i	1.26963	−	1.46523i	0.820376	−	0.571825i	$-0.193764\pi$
$102$	1.71051	−	1.09928i	0.169366	−	0.108845i
$103$	0.928545	+	6.45817i	0.0914923	+	0.636343i	0.983037	+	0.183409i	$0.0587134\pi$
$103$	0.928545	+	6.45817i	0.0914923	+	0.636343i	−0.891544	+	0.452933i	$0.850378\pi$
$104$	−0.786250	−	5.46849i	−0.0770982	−	0.536230i
$105$	16.3418	−	10.5022i	1.59479	−	1.02491i
$106$	2.69101	−	3.10560i	0.261374	−	0.301642i
$107$	0.537167	−	1.17623i	0.0519299	−	0.113711i	−0.881888	−	0.471458i	$-0.843728\pi$
$107$	0.537167	−	1.17623i	0.0519299	−	0.113711i	0.933818	+	0.357747i	$0.116455\pi$
$108$	3.75538	+	2.41344i	0.361362	+	0.232233i
$109$	6.79517	−	1.99524i	0.650859	−	0.191110i	0.0603966	−	0.998174i	$-0.480763\pi$
$109$	6.79517	−	1.99524i	0.650859	−	0.191110i	0.590463	+	0.807065i	$0.298945\pi$
$110$	0.186078	+	0.214745i	0.0177418	+	0.0204752i
$111$	−14.2702	−	4.19010i	−1.35446	−	0.397707i
$112$	3.77806	+	8.27280i	0.356993	+	0.781706i
$113$	0.192401	−	1.33818i	0.0180996	−	0.125885i	−0.978768	−	0.204969i	$-0.934291\pi$
$113$	0.192401	−	1.33818i	0.0180996	−	0.125885i	0.996868	+	0.0790842i	$0.0251996\pi$
$114$	−2.04122			−0.191178
$115$		0			0
$116$	11.4610			1.06412
$117$	0.808101	−	5.62047i	0.0747090	−	0.519612i
$118$	0.0122844	+	0.0268990i	0.00113087	+	0.00247625i
$119$	−6.28169	−	1.84447i	−0.575842	−	0.169082i
$120$	6.76034	+	7.80184i	0.617132	+	0.712208i
$121$	10.5042	−	3.08432i	0.954930	−	0.280393i
$122$	0.0178991	+	0.0115031i	0.00162051	+	0.00104144i
$123$	7.38436	−	16.1695i	0.665825	−	1.45795i
$124$	1.74649	−	2.01556i	0.156839	−	0.181002i
$125$	−7.13536	+	4.58562i	−0.638206	+	0.410150i
$126$	−0.429788	−	2.98924i	−0.0382886	−	0.266303i
$127$	−1.38943	−	9.66367i	−0.123292	−	0.857512i	−0.953786	−	0.300485i	$-0.902851\pi$
$127$	−1.38943	−	9.66367i	−0.123292	−	0.857512i	0.830495	−	0.557026i	$-0.188058\pi$
$128$	−9.44551	+	6.07026i	−0.834873	+	0.536540i
$129$	3.83775	−	4.42900i	0.337895	−	0.389951i
$130$	−1.57908	+	3.45770i	−0.138494	+	0.303260i
$131$	−4.22706	−	2.71657i	−0.369320	−	0.237348i	0.342795	−	0.939410i	$-0.388626\pi$
$131$	−4.22706	−	2.71657i	−0.369320	−	0.237348i	−0.712115	+	0.702063i	$0.752263\pi$
$132$	−0.856237	+	0.251414i	−0.0745258	+	0.0218828i
$133$	4.30402	+	4.96711i	0.373206	+	0.430703i
$134$	5.70137	+	1.67407i	0.492523	+	0.144618i
$135$	−2.71708	−	5.94958i	−0.233849	−	0.512058i
$136$	0.495145	−	3.44381i	0.0424583	−	0.295304i
$137$	11.6182			0.992608			0.496304	−	0.868149i	$-0.334690\pi$
$137$	11.6182			0.992608			0.496304	+	0.868149i	$0.334690\pi$
$138$		0			0
$139$	−17.3118			−1.46837			−0.734183	−	0.678952i	$-0.762435\pi$
$139$	−17.3118			−1.46837			−0.734183	+	0.678952i	$0.762435\pi$
$140$	2.22138	−	15.4500i	0.187741	−	1.30577i
$141$	−1.31718	−	2.88422i	−0.110926	−	0.242895i
$142$	3.83052	+	1.12474i	0.321450	+	0.0943861i
$143$	−0.458232	−	0.528827i	−0.0383192	−	0.0442228i
$144$	−4.76629	+	1.39951i	−0.397191	+	0.116626i
$145$	−14.1267	−	9.07869i	−1.17316	−	0.753944i
$146$	−0.132935	+	0.291088i	−0.0110018	+	0.0240906i
$147$	−6.55954	+	7.57011i	−0.541022	+	0.624372i
$148$	−10.0534	+	6.46095i	−0.826387	+	0.531087i
$149$	−1.04330	−	7.25629i	−0.0854703	−	0.594459i	−0.986876	−	0.161482i	$-0.948372\pi$
$149$	−1.04330	−	7.25629i	−0.0854703	−	0.594459i	0.901405	−	0.432976i	$-0.142537\pi$
$150$	−0.259917	−	1.80776i	−0.0212221	−	0.147603i
$151$	14.3901	−	9.24797i	1.17105	−	0.752589i	0.197331	−	0.980337i	$-0.436773\pi$
$151$	14.3901	−	9.24797i	1.17105	−	0.752589i	0.973720	+	0.227748i	$0.0731363\pi$
$152$	−2.28729	+	2.63968i	−0.185524	+	0.214106i
$153$	1.48549	−	3.25276i	0.120095	−	0.262970i
$154$	−0.313078	−	0.201203i	−0.0252285	−	0.0162134i
$155$	−3.74931	+	1.10090i	−0.301152	+	0.0884263i
$156$	−7.81765	−	9.02205i	−0.625913	−	0.722342i
$157$	−17.2735	−	5.07196i	−1.37857	−	0.404786i	−0.493302	−	0.869858i	$-0.664210\pi$
$157$	−17.2735	−	5.07196i	−1.37857	−	0.404786i	−0.885273	+	0.465072i	$0.846028\pi$
$158$	2.38111	+	5.21390i	0.189431	+	0.414796i
$159$	2.69101	−	18.7164i	0.213411	−	1.48431i
$160$	12.6948			1.00362
$161$		0			0
$162$	−5.32686			−0.418518
$163$	−2.12123	+	14.7535i	−0.166148	+	1.15558i	0.720607	+	0.693343i	$0.243863\pi$
$163$	−2.12123	+	14.7535i	−0.166148	+	1.15558i	−0.886755	+	0.462239i	$0.847046\pi$
$164$	−5.93353	−	12.9926i	−0.463331	−	1.01455i
$165$	1.25455	+	0.368368i	0.0976663	+	0.0286774i
$166$	−0.113066	−	0.130485i	−0.00877564	−	0.0101276i
$167$	−7.33020	+	2.15234i	−0.567228	+	0.166553i	−0.552758	−	0.833342i	$-0.686424\pi$
$167$	−7.33020	+	2.15234i	−0.567228	+	0.166553i	−0.0144704	+	0.999895i	$0.504606\pi$
$168$	−11.3743	−	7.30983i	−0.877547	−	0.563965i
$169$	−1.51179	+	3.31036i	−0.116292	+	0.254643i
$170$	−1.56762	+	1.80913i	−0.120231	+	0.138754i
$171$	−3.01998	+	1.94083i	−0.230944	+	0.148419i
$172$	−0.670159	−	4.66106i	−0.0510991	−	0.355402i
$173$	−0.851613	−	5.92310i	−0.0647469	−	0.450325i	−0.996245	−	0.0865786i	$-0.972407\pi$
$173$	−0.851613	−	5.92310i	−0.0647469	−	0.450325i	0.931498	−	0.363746i	$-0.118502\pi$
$174$	−5.74626	+	3.69290i	−0.435623	+	0.279958i
$175$	−3.85095	+	4.44423i	−0.291104	+	0.335952i
$176$	−0.254297	+	0.556833i	−0.0191684	+	0.0419729i
$177$	0.114471	+	0.0735661i	0.00860417	+	0.00552957i
$178$	−7.40693	+	2.17487i	−0.555173	+	0.163013i
$179$	−2.35202	−	2.71438i	−0.175798	−	0.202882i	0.661012	−	0.750376i	$-0.270127\pi$
$179$	−2.35202	−	2.71438i	−0.175798	−	0.202882i	−0.836810	+	0.547494i	$0.815582\pi$
$180$	8.18024	+	2.40194i	0.609719	+	0.179030i
$181$	−7.92445	−	17.3521i	−0.589020	−	1.28977i	−0.936033	−	0.351913i	$-0.885531\pi$
$181$	−7.92445	−	17.3521i	−0.589020	−	1.28977i	0.347013	−	0.937860i	$-0.387196\pi$
$182$	0.708518	−	4.92785i	0.0525188	−	0.365276i
$183$	0.0979047			0.00723732
$184$		0			0
$185$	17.5098			1.28734
$186$	−0.226206	+	1.57330i	−0.0165862	+	0.115360i
$187$	−0.183058	−	0.400842i	−0.0133866	−	0.0293125i
$188$	−2.44458	−	0.717793i	−0.178289	−	0.0523505i
$189$	5.60981	+	6.47407i	0.408054	+	0.470919i
$190$	2.30582	−	0.677050i	0.167282	−	0.0491184i
$191$	11.0117	+	7.07681i	0.796781	+	0.512060i	0.874564	−	0.484910i	$-0.161148\pi$
$191$	11.0117	+	7.07681i	0.796781	+	0.512060i	−0.0777832	+	0.996970i	$0.524784\pi$
$192$	−2.75522	+	6.03309i	−0.198841	+	0.435401i
$193$	−6.14500	+	7.09171i	−0.442327	+	0.510473i	−0.932509	−	0.361148i	$-0.882385\pi$
$193$	−6.14500	+	7.09171i	−0.442327	+	0.510473i	0.490182	+	0.871620i	$0.336930\pi$
$194$	0.160569	−	0.103191i	0.0115281	−	0.00740869i
$195$	2.48926	+	17.3132i	0.178260	+	1.23982i
$196$	1.14545	+	7.96675i	0.0818176	+	0.569054i
$197$	−8.71781	+	5.60259i	−0.621118	+	0.399168i	−0.813012	−	0.582247i	$-0.802173\pi$
$197$	−8.71781	+	5.60259i	−0.621118	+	0.399168i	0.191894	+	0.981416i	$0.438537\pi$
$198$	0.133115	−	0.153623i	0.00946005	−	0.0109175i
$199$	−4.26074	+	9.32972i	−0.302036	+	0.661366i	−0.998413	−	0.0563093i	$-0.982067\pi$
$199$	−4.26074	+	9.32972i	−0.302036	+	0.661366i	0.696377	+	0.717676i	$0.254794\pi$
$200$	−2.62901	−	1.68956i	−0.185899	−	0.119470i
$201$	26.2348	−	7.70323i	1.85046	−	0.543344i
$202$	6.11047	+	7.05186i	0.429931	+	0.496167i
$203$	21.1026	+	6.19627i	1.48111	+	0.434893i
$204$	−3.12306	−	6.83856i	−0.218658	−	0.478795i
$205$	−2.97834	+	20.7148i	−0.208016	+	1.44678i
$206$	−3.12457			−0.217699
$207$		0			0
$208$	−8.18908			−0.567810
$209$	−0.0629576	+	0.437880i	−0.00435487	+	0.0302888i
$210$	3.86448	+	8.46204i	0.266675	+	0.583936i
$211$	7.93572	+	2.33014i	0.546318	+	0.160413i	0.543233	−	0.839582i	$-0.317200\pi$
$211$	7.93572	+	2.33014i	0.546318	+	0.160413i	0.00308452	+	0.999995i	$0.499018\pi$
$212$	−9.94981	−	11.4827i	−0.683356	−	0.788634i
$213$	17.6261	−	5.17549i	1.20772	−	0.354619i
$214$	0.520945	+	0.334791i	0.0356110	+	0.0228858i
$215$	−2.86617	+	6.27604i	−0.195471	+	0.428023i
$216$	−2.98123	+	3.44052i	−0.202847	+	0.234098i
$217$	4.30542	−	2.76693i	0.292271	−	0.187831i
$218$	0.482665	+	3.35701i	0.0326902	+	0.227365i
$219$	0.209560	+	1.45752i	0.0141607	+	0.0984900i
$220$	0.883836	−	0.568007i	0.0595882	−	0.0382950i
$221$	3.86040	−	4.45513i	0.259678	−	0.299685i
$222$	2.95874	−	6.47873i	0.198578	−	0.434824i
$223$	−9.08060	−	5.83575i	−0.608082	−	0.390791i	0.200055	−	0.979785i	$-0.435888\pi$
$223$	−9.08060	−	5.83575i	−0.608082	−	0.390791i	−0.808137	+	0.588994i	$0.799524\pi$
$224$	−15.9532	+	4.68429i	−1.06592	+	0.312982i
$225$	−2.10339	−	2.42744i	−0.140226	−	0.161829i
$226$	0.621206	+	0.182403i	0.0413220	+	0.0121332i
$227$	9.64455	+	21.1186i	0.640131	+	1.40169i	0.899932	+	0.436030i	$0.143616\pi$
$227$	9.64455	+	21.1186i	0.640131	+	1.40169i	−0.259801	+	0.965662i	$0.583657\pi$
$228$	−1.07409	+	7.47045i	−0.0711332	+	0.494742i
$229$	−14.1883			−0.937587			−0.468794	−	0.883308i	$-0.655311\pi$
$229$	−14.1883			−0.937587			−0.468794	+	0.883308i	$0.655311\pi$
$230$		0			0
$231$	−1.71247			−0.112672
$232$	−1.66338	+	11.5690i	−0.109206	+	0.759545i
$233$	10.2281	+	22.3964i	0.670063	+	1.46723i	0.872839	+	0.488009i	$0.162277\pi$
$233$	10.2281	+	22.3964i	0.670063	+	1.46723i	−0.202775	+	0.979225i	$0.564996\pi$
$234$	2.60912	+	0.766107i	0.170564	+	0.0500820i
$235$	2.44458	+	2.82120i	0.159467	+	0.184034i
$236$	0.104908	−	0.0308039i	0.00682896	−	0.00200516i
$237$	22.1882	+	14.2595i	1.44128	+	0.926255i
$238$	1.30243	−	2.85192i	0.0844239	−	0.184863i
$239$	−0.153811	+	0.177507i	−0.00994920	+	0.0114820i	−0.760702	−	0.649101i	$-0.775145\pi$
$239$	−0.153811	+	0.177507i	−0.00994920	+	0.0114820i	0.750753	+	0.660583i	$0.229691\pi$
$240$	12.8727	−	8.27280i	0.830931	−	0.534007i
$241$	0.749674	+	5.21410i	0.0482908	+	0.335870i	0.999617	+	0.0276832i	$0.00881296\pi$
$241$	0.749674	+	5.21410i	0.0482908	+	0.335870i	−0.951326	+	0.308186i	$0.900278\pi$
$242$	0.746122	+	5.18939i	0.0479625	+	0.333587i
$243$	−14.2577	+	9.16289i	−0.914634	+	0.587799i
$244$	0.0515172	−	0.0594540i	0.00329805	−	0.00380616i
$245$	4.89891	−	10.7271i	0.312980	−	0.685330i
$246$	7.16135	+	4.60232i	0.456591	+	0.293433i
$247$	−5.67826	+	1.66729i	−0.361299	+	0.106087i
$248$	1.78109	+	2.05548i	0.113099	+	0.130523i
$249$	−0.762298	−	0.223831i	−0.0483087	−	0.0141847i
$250$	−1.68736	−	3.69481i	−0.106718	−	0.233680i
$251$	−4.15383	+	28.8905i	−0.262188	+	1.82355i	0.254145	+	0.967166i	$0.418206\pi$
$251$	−4.15383	+	28.8905i	−0.262188	+	1.82355i	−0.516332	+	0.856388i	$0.672703\pi$
$252$	−11.1661			−0.703401
$253$		0			0
$254$	4.67544			0.293363
$255$	−1.56762	+	10.9031i	−0.0981684	+	0.682776i
$256$	0.266972	+	0.584588i	0.0166858	+	0.0365367i
$257$	−10.8500	−	3.18584i	−0.676802	−	0.198727i	−0.0747725	−	0.997201i	$-0.523823\pi$
$257$	−10.8500	−	3.18584i	−0.676802	−	0.198727i	−0.602030	+	0.798473i	$0.705641\pi$
$258$	1.83786	+	2.12101i	0.114420	+	0.132048i
$259$	−22.0040	+	6.46095i	−1.36726	+	0.401464i
$260$	11.8235	+	7.59852i	0.733265	+	0.471240i
$261$	−4.99031	+	10.9273i	−0.308892	+	0.676380i
$262$	1.57579	−	1.81856i	0.0973525	−	0.112351i
$263$	20.2613	−	13.0212i	1.24937	−	0.802919i	0.262575	−	0.964912i	$-0.415428\pi$
$263$	20.2613	−	13.0212i	1.24937	−	0.802919i	0.986792	+	0.161992i	$0.0517920\pi$
$264$	−0.129515	−	0.900799i	−0.00797112	−	0.0554403i
$265$	3.16817	+	22.0351i	0.194619	+	1.35361i
$266$	−2.64783	+	1.70165i	−0.162349	+	0.104335i
$267$	−23.2619	+	26.8456i	−1.42360	+	1.64292i
$268$	9.12679	−	19.9849i	0.557507	−	1.22077i
$269$	5.52157	+	3.54850i	0.336656	+	0.216356i	0.698036	−	0.716063i	$-0.254058\pi$
$269$	5.52157	+	3.54850i	0.336656	+	0.216356i	−0.361379	+	0.932419i	$0.617694\pi$
$270$	3.00538	−	0.882459i	0.182902	−	0.0537047i
$271$	−13.1191	−	15.1403i	−0.796931	−	0.919707i	0.201278	−	0.979534i	$-0.435490\pi$
$271$	−13.1191	−	15.1403i	−0.796931	−	0.919707i	−0.998209	+	0.0598272i	$0.980945\pi$
$272$	−4.94821	−	1.45293i	−0.300029	−	0.0880965i
$273$	−9.51659	−	20.8384i	−0.575970	−	1.26120i
$274$	−0.791818	+	5.50722i	−0.0478355	+	0.332703i
$275$	−0.395814			−0.0238685
$276$		0			0
$277$	−7.60036			−0.456661			−0.228331	−	0.973584i	$-0.573327\pi$
$277$	−7.60036			−0.456661			−0.228331	+	0.973584i	$0.573327\pi$
$278$	1.17986	−	8.20608i	0.0707630	−	0.492168i
$279$	1.16124	+	2.54277i	0.0695218	+	0.152232i
$280$	15.2733	+	4.48465i	0.912755	+	0.268009i
$281$	−21.0380	−	24.2791i	−1.25502	−	1.44837i	−0.843641	−	0.536908i	$-0.819592\pi$
$281$	−21.0380	−	24.2791i	−1.25502	−	1.44837i	−0.411381	−	0.911464i	$-0.634953\pi$
$282$	1.45694	−	0.427796i	0.0867594	−	0.0254749i
$283$	5.08067	+	3.26515i	0.302015	+	0.194093i	0.682867	−	0.730543i	$-0.260733\pi$
$283$	5.08067	+	3.26515i	0.302015	+	0.194093i	−0.380852	+	0.924636i	$0.624369\pi$
$284$	6.13192	−	13.4270i	0.363862	−	0.796748i
$285$	7.24155	−	8.35719i	0.428952	−	0.495037i
$286$	0.281903	−	0.181168i	0.0166693	−	0.0107127i
$287$	−3.90079	−	27.1306i	−0.230256	−	1.60147i
$288$	−1.29243	−	8.98908i	−0.0761574	−	0.529687i
$289$	−11.1782	+	7.18382i	−0.657544	+	0.422578i
$290$	5.26624	−	6.07756i	0.309244	−	0.356887i
$291$	0.364850	−	0.798910i	0.0213879	−	0.0468329i
$292$	0.995370	+	0.639685i	0.0582496	+	0.0374348i
$293$	−28.0719	+	8.24264i	−1.63998	+	0.481540i	−0.966285	−	0.257474i	$-0.917110\pi$
$293$	−28.0719	+	8.24264i	−1.63998	+	0.481540i	−0.673690	+	0.739014i	$0.735292\pi$
$294$	−3.14131	−	3.62526i	−0.183205	−	0.211430i
$295$	−0.153710	−	0.0451335i	−0.00894937	−	0.00262777i
$296$	−5.06277	−	11.0859i	−0.294268	−	0.644356i
$297$	−0.0820582	+	0.570727i	−0.00476150	+	0.0331170i
$298$	3.51071			0.203370
$299$		0			0
$300$	−6.75279			−0.389872
$301$	1.28602	−	8.94450i	0.0741252	−	0.515552i
$302$	3.40296	+	7.45144i	0.195818	+	0.428782i
$303$	41.1970	+	12.0965i	2.36671	+	0.694928i
$304$	3.39036	+	3.91269i	0.194451	+	0.224408i
$305$	−0.110596	+	0.0324738i	−0.00633269	+	0.00185945i
$306$	1.44062	+	0.925833i	0.0823550	+	0.0529263i
$307$	−3.56044	+	7.79628i	−0.203205	+	0.444957i	−0.983608	−	0.180320i	$-0.942287\pi$
$307$	−3.56044	+	7.79628i	−0.203205	+	0.444957i	0.780403	+	0.625277i	$0.215014\pi$
$308$	−0.901100	+	1.03992i	−0.0513449	+	0.0592552i
$309$	−12.0953	+	7.77316i	−0.688076	+	0.442200i
$310$	−0.266316	−	1.85227i	−0.0151257	−	0.105202i
$311$	−0.0300429	−	0.208953i	−0.00170357	−	0.0118486i	0.988952	−	0.148237i	$-0.0473597\pi$
$311$	−0.0300429	−	0.208953i	−0.00170357	−	0.0118486i	−0.990655	+	0.136388i	$0.956451\pi$
$312$	10.2417	−	6.58196i	0.579824	−	0.372630i
$313$	19.2954	−	22.2681i	1.09064	−	1.25867i	0.126873	−	0.991919i	$-0.459506\pi$
$313$	19.2954	−	22.2681i	1.09064	−	1.25867i	0.963767	−	0.266746i	$-0.0859485\pi$
$314$	3.58144	−	7.84226i	0.202112	−	0.442564i
$315$	13.7633	+	8.84515i	0.775475	+	0.498367i
$316$	20.3347	−	5.97081i	1.14392	−	0.335884i
$317$	−17.2043	−	19.8548i	−0.966287	−	1.11515i	−0.993305	−	0.115520i	$-0.963147\pi$
$317$	−17.2043	−	19.8548i	−0.966287	−	1.11515i	0.0270180	−	0.999635i	$-0.491399\pi$
$318$	8.68850	+	2.55117i	0.487227	+	0.143063i
$319$	0.614962	+	1.34658i	0.0344312	+	0.0753939i
$320$	1.11126	−	7.72901i	0.0621215	−	0.432065i
$321$	2.84947			0.159042
$322$		0			0
$323$	−3.72688			−0.207369
$324$	−2.80298	+	19.4952i	−0.155721	+	1.08307i
$325$	−2.19963	−	4.81651i	−0.122013	−	0.267172i
$326$	−6.84884	−	2.01100i	−0.379322	−	0.111379i
$327$	10.2198	+	11.7943i	0.565157	+	0.652226i
$328$	13.9763	−	4.10380i	0.771711	−	0.226595i
$329$	−4.11302	−	2.64328i	−0.226758	−	0.145729i
$330$	−0.260114	+	0.569571i	−0.0143188	+	0.0313538i
$331$	−14.9030	+	17.1990i	−0.819142	+	0.945341i	−0.999266	−	0.0383032i	$-0.987805\pi$
$331$	−14.9030	+	17.1990i	−0.819142	+	0.945341i	0.180124	+	0.983644i	$0.442350\pi$
$332$	−0.537044	+	0.345137i	−0.0294741	+	0.0189419i
$333$	−1.78263	−	12.3985i	−0.0976875	−	0.679432i
$334$	−0.520669	−	3.62133i	−0.0284897	−	0.198150i
$335$	−27.0804	+	17.4035i	−1.47956	+	0.950857i
$336$	−13.1242	+	15.1461i	−0.715982	+	0.826287i
$337$	−0.248306	+	0.543713i	−0.0135261	+	0.0296180i	−0.916274	−	0.400551i	$-0.868819\pi$
$337$	−0.248306	+	0.543713i	−0.0135261	+	0.0296180i	0.902748	+	0.430169i	$0.141546\pi$
$338$	−1.46613	−	0.942227i	−0.0797472	−	0.0512504i
$339$	2.85848	−	0.839324i	0.155251	−	0.0455858i
$340$	5.79616	+	6.68913i	0.314341	+	0.362769i
$341$	0.330524	+	0.0970507i	0.0178989	+	0.00525559i
$342$	−0.714162	−	1.56380i	−0.0386175	−	0.0845605i
$343$	1.18688	−	8.25496i	0.0640857	−	0.445726i
$344$	4.80227			0.258921
$345$		0			0
$346$	2.86569			0.154060
$347$	−0.0824579	+	0.573507i	−0.00442657	+	0.0307875i	−0.991915	−	0.126904i	$-0.959496\pi$
$347$	−0.0824579	+	0.573507i	−0.00442657	+	0.0307875i	0.987488	+	0.157691i	$0.0504051\pi$
$348$	10.4915	+	22.9733i	0.562406	+	1.23150i
$349$	−20.8388	−	6.11883i	−1.11548	−	0.327533i	−0.328492	−	0.944507i	$-0.606540\pi$
$349$	−20.8388	−	6.11883i	−1.11548	−	0.327533i	−0.786984	+	0.616973i	$0.788359\pi$
$350$	−1.84419	−	2.12831i	−0.0985759	−	0.113763i
$351$	−7.40098	+	2.17312i	−0.395035	+	0.115993i
$352$	−0.941469	−	0.605045i	−0.0501804	−	0.0322490i
$353$	0.277489	−	0.607617i	0.0147693	−	0.0323402i	−0.902104	−	0.431519i	$-0.857978\pi$
$353$	0.277489	−	0.607617i	0.0147693	−	0.0323402i	0.916873	+	0.399179i	$0.130705\pi$
$354$	−0.0426732	+	0.0492475i	−0.00226805	+	0.00261747i
$355$	−18.1942	+	11.6927i	−0.965650	+	0.620586i
$356$	4.06205	+	28.2522i	0.215288	+	1.49736i
$357$	−2.05315	−	14.2800i	−0.108664	−	0.755776i
$358$	1.44696	−	0.929904i	0.0764741	−	0.0491469i
$359$	−10.5474	+	12.1724i	−0.556671	+	0.642433i	−0.962424	−	0.271550i	$-0.912464\pi$
$359$	−10.5474	+	12.1724i	−0.556671	+	0.642433i	0.405753	+	0.913983i	$0.367009\pi$
$360$	−3.61181	+	7.90877i	−0.190359	+	0.416829i
$361$	−12.8363	−	8.24941i	−0.675597	−	0.434180i
$362$	8.76528	−	2.57372i	0.460693	−	0.135272i
$363$	15.7982	+	18.2321i	0.829190	+	0.956936i
$364$	−17.6621	−	5.18605i	−0.925743	−	0.271823i
$365$	−0.720166	−	1.57694i	−0.0376952	−	0.0825410i
$366$	−0.00667253	+	0.0464085i	−0.000348779	+	0.00242581i
$367$	27.2461			1.42223			0.711117	−	0.703074i	$-0.248190\pi$
$367$	27.2461			1.42223			0.711117	+	0.703074i	$0.248190\pi$
$368$		0			0
$369$	14.9711			0.779366
$370$	−1.19335	+	8.29992i	−0.0620393	+	0.431492i
$371$	−12.1121	−	26.5218i	−0.628829	−	1.37694i
$372$	5.63891	+	1.65573i	0.292364	+	0.0858457i
$373$	10.8455	+	12.5164i	0.561558	+	0.648072i	0.963537	−	0.267577i	$-0.0862229\pi$
$373$	10.8455	+	12.5164i	0.561558	+	0.648072i	−0.401979	+	0.915649i	$0.631677\pi$
$374$	0.202482	−	0.0594540i	0.0104701	−	0.00307430i
$375$	−15.7236	−	10.1049i	−0.811963	−	0.521817i
$376$	1.07935	−	2.36345i	0.0556634	−	0.121886i
$377$	−12.9685	+	14.9665i	−0.667913	+	0.770812i
$378$	−3.45115	+	2.21792i	−0.177508	+	0.114077i
$379$	1.67292	+	11.6354i	0.0859323	+	0.597672i	0.986599	+	0.163162i	$0.0521694\pi$
$379$	1.67292	+	11.6354i	0.0859323	+	0.597672i	−0.900667	+	0.434510i	$0.856922\pi$
$380$	−1.26454	−	8.79507i	−0.0648696	−	0.451178i
$381$	18.0987	−	11.6313i	0.927225	−	0.595892i
$382$	−4.10501	+	4.73744i	−0.210031	+	0.242388i
$383$	−4.65774	+	10.1990i	−0.237999	+	0.521146i	−0.990511	−	0.137433i	$-0.956115\pi$
$383$	−4.65774	+	10.1990i	−0.237999	+	0.521146i	0.752512	+	0.658579i	$0.228842\pi$
$384$	−20.8143	−	13.3765i	−1.06217	−	0.682618i
$385$	1.93445	−	0.568007i	0.0985889	−	0.0289483i
$386$	−2.94279	−	3.39616i	−0.149784	−	0.172860i
$387$	4.73580	+	1.39056i	0.240734	+	0.0706859i
$388$	−0.293167	−	0.641945i	−0.0148833	−	0.0325898i
$389$	−0.582501	+	4.05138i	−0.0295340	+	0.205413i	−0.999245	−	0.0388400i	$-0.987634\pi$
$389$	−0.582501	+	4.05138i	−0.0295340	+	0.205413i	0.969711	+	0.244253i	$0.0785428\pi$
$390$	−8.37640			−0.424156
$391$		0			0
$392$	−8.20811			−0.414572
$393$	1.57579	−	10.9598i	0.0794880	−	0.552851i
$394$	−2.06158	−	4.51422i	−0.103861	−	0.227423i
$395$	−29.7941	−	8.74835i	−1.49911	−	0.440177i
$396$	−0.492181	−	0.568007i	−0.0247330	−	0.0285434i
$397$	−2.60741	+	0.765605i	−0.130862	+	0.0384246i	−0.346508	−	0.938047i	$-0.612633\pi$
$397$	−2.60741	+	0.765605i	−0.130862	+	0.0384246i	0.215646	+	0.976472i	$0.430814\pi$
$398$	−4.13206	−	2.65552i	−0.207122	−	0.133109i
$399$	−6.01650	+	13.1743i	−0.301202	+	0.659539i
$400$	−3.03347	+	3.50081i	−0.151673	+	0.175040i
$401$	−15.3311	+	9.85270i	−0.765598	+	0.492020i	−0.864226	−	0.503104i	$-0.832191\pi$
$401$	−15.3311	+	9.85270i	−0.765598	+	0.492020i	0.0986273	+	0.995124i	$0.468555\pi$
$402$	1.86347	+	12.9607i	0.0929416	+	0.646423i
$403$	0.655824	+	4.56136i	0.0326689	+	0.227217i
$404$	29.0236	−	18.6523i	1.44398	−	0.927988i
$405$	18.8978	−	21.8093i	0.939041	−	1.08371i
$406$	−4.37535	+	9.58068i	−0.217145	+	0.475481i
$407$	−1.29855	−	0.834527i	−0.0643667	−	0.0413660i
$408$	7.35630	−	2.16000i	0.364191	−	0.106936i
$409$	8.57021	+	9.89055i	0.423770	+	0.489056i	0.926982	−	0.375107i	$-0.122394\pi$
$409$	8.57021	+	9.89055i	0.423770	+	0.489056i	−0.503212	+	0.864163i	$0.667848\pi$
$410$	−9.61618	−	2.82356i	−0.474909	−	0.139446i
$411$	10.6355	+	23.2884i	0.524609	+	1.14873i
$412$	−1.64414	+	11.4352i	−0.0810010	+	0.563374i
$413$	0.209817			0.0103244
$414$		0			0
$415$	0.935353			0.0459147
$416$	2.13061	−	14.8187i	0.104462	−	0.726549i
$417$	−15.8475	−	34.7011i	−0.776053	−	1.69932i
$418$	−0.203272	−	0.0596860i	−0.00994235	−	0.00291934i
$419$	1.32655	+	1.53092i	0.0648060	+	0.0747901i	0.787227	−	0.616664i	$-0.211516\pi$
$419$	1.32655	+	1.53092i	0.0648060	+	0.0747901i	−0.722421	+	0.691454i	$0.756971\pi$
$420$	33.0027	−	9.69048i	1.61037	−	0.472847i
$421$	12.1234	+	7.79121i	0.590856	+	0.379720i	0.801635	−	0.597813i	$-0.203964\pi$
$421$	12.1234	+	7.79121i	0.590856	+	0.379720i	−0.210779	+	0.977534i	$0.567600\pi$
$422$	−1.64537	+	3.60286i	−0.0800954	+	0.175385i
$423$	1.74878	−	2.01820i	0.0850286	−	0.0981282i
$424$	13.0350	−	8.37710i	0.633036	−	0.406828i
$425$	−0.474557	−	3.30062i	−0.0230194	−	0.160103i
$426$	1.25199	+	8.70779i	0.0606592	+	0.421894i
$427$	0.127000	−	0.0816177i	0.00614594	−	0.00394976i
$428$	1.49938	−	1.73038i	0.0724754	−	0.0836410i
$429$	0.640551	−	1.40261i	0.0309261	−	0.0677188i
$430$	−2.77961	−	1.78635i	−0.134045	−	0.0861454i
$431$	−12.7758	+	3.75130i	−0.615387	+	0.180694i	−0.574547	−	0.818472i	$-0.694822\pi$
$431$	−12.7758	+	3.75130i	−0.615387	+	0.180694i	−0.0408402	+	0.999166i	$0.513003\pi$
$432$	4.41896	+	5.09975i	0.212607	+	0.245362i
$433$	33.9068	+	9.95593i	1.62946	+	0.478451i	0.963538	−	0.267573i	$-0.0862217\pi$
$433$	33.9068	+	9.95593i	1.62946	+	0.478451i	0.665918	+	0.746025i	$0.268040\pi$
$434$	1.01814	+	2.22942i	0.0488724	+	0.107016i
$435$	5.26624	−	36.6275i	0.252497	−	1.75615i
$436$	12.5399			0.600553
$437$		0			0
$438$	−0.705171			−0.0336944
$439$	1.83802	−	12.7837i	0.0877240	−	0.610134i	−0.897775	−	0.440454i	$-0.854817\pi$
$439$	1.83802	−	12.7837i	0.0877240	−	0.610134i	0.985499	−	0.169680i	$-0.0542734\pi$
$440$	0.445088	+	0.974607i	0.0212187	+	0.0464626i
$441$	−8.09450	−	2.37676i	−0.385452	−	0.113179i
$442$	1.84871	+	2.13353i	0.0879342	+	0.101481i
$443$	6.84684	−	2.01041i	0.325303	−	0.0955176i	−0.115004	−	0.993365i	$-0.536688\pi$
$443$	6.84684	−	2.01041i	0.325303	−	0.0955176i	0.440307	+	0.897847i	$0.354870\pi$
$444$	−22.1539	−	14.2374i	−1.05138	−	0.675679i
$445$	17.3728	−	38.0412i	0.823551	−	1.80332i
$446$	3.38512	−	3.90663i	0.160290	−	0.184984i
$447$	13.5900	−	8.73379i	0.642787	−	0.413094i
$448$	1.45545	+	10.1229i	0.0687634	+	0.478260i
$449$	0.436081	+	3.03301i	0.0205799	+	0.143136i	0.997521	−	0.0703741i	$-0.0224193\pi$
$449$	0.436081	+	3.03301i	0.0205799	+	0.143136i	−0.976941	+	0.213511i	$0.931510\pi$
$450$	1.29400	−	0.831604i	0.0609998	−	0.0392022i
$451$	1.20816	−	1.39429i	0.0568900	−	0.0656545i
$452$	0.994432	−	2.17750i	0.0467741	−	0.102421i
$453$	31.7103	+	20.3790i	1.48988	+	0.957487i
$454$	−10.6679	+	3.13238i	−0.500669	+	0.147010i
$455$	17.6621	+	20.3831i	0.828010	+	0.955574i
$456$	−7.38500	−	2.16843i	−0.345834	−	0.101546i
$457$	−7.02979	−	15.3931i	−0.328840	−	0.720058i	0.670930	−	0.741521i	$-0.265895\pi$
$457$	−7.02979	−	15.3931i	−0.328840	−	0.720058i	−0.999770	+	0.0214624i	$0.993168\pi$
$458$	0.966978	−	6.72548i	0.0451839	−	0.314261i
$459$	−4.85756			−0.226732
$460$		0			0
$461$	−3.84880			−0.179257			−0.0896283	−	0.995975i	$-0.528568\pi$
$461$	−3.84880			−0.179257			−0.0896283	+	0.995975i	$0.528568\pi$
$462$	0.116711	−	0.811741i	0.00542988	−	0.0377656i
$463$	4.74345	+	10.3867i	0.220447	+	0.482711i	0.987251	−	0.159170i	$-0.0508816\pi$
$463$	4.74345	+	10.3867i	0.220447	+	0.482711i	−0.766804	+	0.641881i	$0.778154\pi$
$464$	16.6229	+	4.88092i	0.771698	+	0.226591i
$465$	−5.63891	−	6.50764i	−0.261498	−	0.301785i
$466$	−11.3133	+	3.32189i	−0.524080	+	0.153884i
$467$	−23.6661	−	15.2093i	−1.09514	−	0.703802i	−0.137132	−	0.990553i	$-0.543788\pi$
$467$	−23.6661	−	15.2093i	−1.09514	−	0.703802i	−0.958005	+	0.286751i	$0.907425\pi$
$468$	4.17670	−	9.14570i	0.193068	−	0.422760i
$469$	27.6094	−	31.8629i	1.27488	−	1.47129i
$470$	−1.50390	+	0.966498i	−0.0693698	+	0.0445812i
$471$	−5.64579	−	39.2673i	−0.260144	−	1.80934i
$472$	0.0158686	+	0.110368i	0.000730410	+	0.00508012i
$473$	0.511680	−	0.328837i	0.0235271	−	0.0151199i
$474$	−8.27146	+	9.54577i	−0.379921	+	0.438452i
$475$	−1.39063	+	3.04505i	−0.0638064	+	0.139717i
$476$	−9.75209	−	6.26729i	−0.446986	−	0.287261i
$477$	15.2803	−	4.48670i	0.699636	−	0.205432i
$478$	−0.0736587	−	0.0850067i	−0.00336907	−	0.00388812i
$479$	−22.8797	−	6.71809i	−1.04540	−	0.306957i	−0.286443	−	0.958097i	$-0.592473\pi$
$479$	−22.8797	−	6.71809i	−1.04540	−	0.306957i	−0.758958	+	0.651140i	$0.774291\pi$
$480$	11.6211	+	25.4466i	0.530426	+	1.16147i
$481$	2.93871	−	20.4392i	0.133994	−	0.931948i
$482$	−2.52266			−0.114904
$483$		0			0
$484$	19.3847			0.881122
$485$	−0.147155	+	1.02349i	−0.00668197	+	0.0464741i
$486$	−3.37165	−	7.38289i	−0.152941	−	0.334895i
$487$	−16.5016	−	4.84531i	−0.747760	−	0.219562i	−0.114416	−	0.993433i	$-0.536500\pi$
$487$	−16.5016	−	4.84531i	−0.747760	−	0.219562i	−0.633344	+	0.773871i	$0.718318\pi$
$488$	0.0525377	+	0.0606318i	0.00237827	+	0.00274467i
$489$	−31.5149	+	9.25360i	−1.42515	+	0.418462i
$490$	4.75096	+	3.05326i	0.214626	+	0.137932i
$491$	−14.1876	+	31.0666i	−0.640279	+	1.40201i	0.259532	+	0.965735i	$0.416432\pi$
$491$	−14.1876	+	31.0666i	−0.640279	+	1.40201i	−0.899811	+	0.436280i	$0.856296\pi$
$492$	20.6118	−	23.7873i	0.929251	−	1.07241i
$493$	−10.4915	+	6.74251i	−0.472516	+	0.303667i
$494$	−0.403330	−	2.80522i	−0.0181467	−	0.126213i
$495$	0.156718	+	1.09000i	0.00704395	+	0.0489917i
$496$	3.39146	−	2.17956i	0.152281	−	0.0978652i
$497$	18.5496	−	21.4074i	0.832064	−	0.960253i
$498$	0.158053	−	0.346087i	0.00708251	−	0.0155085i
$499$	25.7170	+	16.5273i	1.15125	+	0.739865i	0.969888	−	0.243551i	$-0.0783123\pi$
$499$	25.7170	+	16.5273i	1.15125	+	0.739865i	0.181364	+	0.983416i	$0.441949\pi$
$500$	−14.4101	+	4.23119i	−0.644439	+	0.189224i
$501$	−11.0245	−	12.7229i	−0.492538	−	0.568419i
$502$	−13.4115	−	3.93797i	−0.598585	−	0.175760i
$503$	8.13307	+	17.8089i	0.362636	+	0.794062i	0.999729	+	0.0232750i	$0.00740932\pi$
$503$	8.13307	+	17.8089i	0.362636	+	0.794062i	−0.637093	+	0.770787i	$0.719863\pi$
$504$	1.62059	−	11.2714i	0.0721867	−	0.502069i
$505$	−50.5495			−2.24942
$506$		0			0
$507$	−8.01947			−0.356157
$508$	2.46020	−	17.1111i	0.109154	−	0.759182i
$509$	−1.21553	−	2.66164i	−0.0538774	−	0.117975i	0.880779	−	0.473528i	$-0.157020\pi$
$509$	−1.21553	−	2.66164i	−0.0538774	−	0.117975i	−0.934656	+	0.355553i	$0.884293\pi$
$510$	−5.06140	−	1.48616i	−0.224122	−	0.0658083i
$511$	1.48689	+	1.71596i	0.0657761	+	0.0759096i
$512$	−21.8415	+	6.41324i	−0.965266	+	0.283428i
$513$	4.10238	+	2.63644i	0.181125	+	0.116402i
$514$	2.24960	−	4.92594i	0.0992258	−	0.217274i
$515$	11.0849	−	12.7926i	0.488458	−	0.563710i
$516$	8.72952	−	5.61012i	0.384296	−	0.246972i
$517$	−0.0468335	−	0.325734i	−0.00205974	−	0.0143258i
$518$	−1.56295	−	10.8706i	−0.0686723	−	0.477626i
$519$	11.0931	−	7.12913i	0.486935	−	0.312934i
$520$	−9.38617	+	10.8322i	−0.411611	+	0.475024i
$521$	−14.2995	+	31.3116i	−0.626473	+	1.37179i	0.284243	+	0.958752i	$0.408258\pi$
$521$	−14.2995	+	31.3116i	−0.626473	+	1.37179i	−0.910716	+	0.413033i	$0.864469\pi$
$522$	−4.83960	−	3.11022i	−0.211823	−	0.136131i
$523$	4.01092	−	1.17771i	0.175385	−	0.0514977i	−0.192861	−	0.981226i	$-0.561777\pi$
$523$	4.01092	−	1.17771i	0.175385	−	0.0514977i	0.368246	+	0.929728i	$0.379958\pi$
$524$	−5.82635	−	6.72397i	−0.254525	−	0.293738i
$525$	−12.4336	−	3.65083i	−0.542646	−	0.159335i
$526$	4.79138	+	10.4916i	0.208914	+	0.457458i
$527$	−0.413008	+	2.87253i	−0.0179909	+	0.125130i
$528$	−1.34895			−0.0587054
$529$		0			0
$530$	−10.6609			−0.463082
$531$	−0.0163096	+	0.113436i	−0.000707776	+	0.00492269i
$532$	4.83441	+	10.5859i	0.209598	+	0.458956i
$533$	23.6806	+	6.95325i	1.02572	+	0.301179i
$534$	−11.1399	−	12.8561i	−0.482071	−	0.556339i
$535$	−3.21883	+	0.945134i	−0.139162	+	0.0408617i
$536$	18.8487	+	12.1133i	0.814140	+	0.523216i
$537$	3.28784	−	7.19935i	0.141881	−	0.310675i
$538$	−2.05836	+	2.37548i	−0.0887423	+	0.102414i
$539$	−0.874572	+	0.562053i	−0.0376705	+	0.0242093i
$540$	−1.64819	−	11.4634i	−0.0709267	−	0.493306i
$541$	−1.05796	−	7.35826i	−0.0454852	−	0.316356i	−0.999843	−	0.0176922i	$-0.994368\pi$
$541$	−1.05796	−	7.35826i	−0.0454852	−	0.316356i	0.954358	−	0.298664i	$-0.0965410\pi$
$542$	8.07087	−	5.18683i	0.346673	−	0.222793i
$543$	27.5278	−	31.7688i	1.18133	−	1.36333i
$544$	3.91659	−	8.57613i	0.167922	−	0.367699i
$545$	−15.4566	−	9.93336i	−0.662088	−	0.425498i
$546$	10.5264	−	3.09082i	0.450487	−	0.132275i
$547$	−8.84900	−	10.2123i	−0.378356	−	0.436646i	0.534350	−	0.845263i	$-0.320556\pi$
$547$	−8.84900	−	10.2123i	−0.378356	−	0.436646i	−0.912706	+	0.408618i	$0.866011\pi$
$548$	19.7386	+	5.79577i	0.843190	+	0.247583i
$549$	0.0342539	+	0.0750055i	0.00146192	+	0.00320116i
$550$	0.0269761	−	0.187623i	0.00115026	−	0.00800026i
$551$	12.5200			0.533369
$552$		0			0
$553$	40.6694			1.72944
$554$	0.517990	−	3.60270i	0.0220073	−	0.153064i
$555$	16.0287	+	35.0979i	0.680380	+	1.48982i
$556$	−29.4116	−	8.63604i	−1.24733	−	0.366250i
$557$	14.6183	+	16.8705i	0.619399	+	0.714824i	0.975593	−	0.219588i	$-0.0704713\pi$
$557$	14.6183	+	16.8705i	0.619399	+	0.714824i	−0.356194	+	0.934412i	$0.615926\pi$
$558$	−1.28446	+	0.377151i	−0.0543754	+	0.0159661i
$559$	6.84501	+	4.39902i	0.289513	+	0.186059i
$560$	9.80162	−	21.4626i	0.414194	−	0.906958i
$561$	0.635905	−	0.733873i	0.0268479	−	0.0309842i
$562$	12.9425	−	8.31766i	0.545948	−	0.350859i
$563$	−2.09260	−	14.5544i	−0.0881926	−	0.613393i	−0.985204	−	0.171386i	$-0.945176\pi$
$563$	−2.09260	−	14.5544i	−0.0881926	−	0.613393i	0.897011	−	0.442007i	$-0.145734\pi$
$564$	−0.799003	−	5.55719i	−0.0336441	−	0.234000i
$565$	−2.95062	+	1.89625i	−0.124133	+	0.0797756i
$566$	−1.89400	+	2.18579i	−0.0796108	+	0.0918758i
$567$	−15.7009	+	34.3802i	−0.659375	+	1.44383i
$568$	12.6637	+	8.13845i	0.531356	+	0.341482i
$569$	33.3399	−	9.78949i	1.39768	−	0.410397i	0.505795	−	0.862654i	$-0.331199\pi$
$569$	33.3399	−	9.78949i	1.39768	−	0.410397i	0.891888	+	0.452257i	$0.149381\pi$
$570$	3.46792	+	4.00219i	0.145255	+	0.167633i
$571$	−21.3774	−	6.27698i	−0.894618	−	0.262683i	−0.198065	−	0.980189i	$-0.563466\pi$
$571$	−21.3774	−	6.27698i	−0.894618	−	0.262683i	−0.696553	+	0.717505i	$0.745284\pi$
$572$	−0.514700	−	1.12704i	−0.0215207	−	0.0471237i
$573$	−4.10501	+	28.5510i	−0.171489	+	1.19273i
$574$	13.1262			0.547878
$575$		0			0
$576$	−5.58596			−0.232748
$577$	0.298764	−	2.07795i	0.0124377	−	0.0865062i	−0.982657	−	0.185432i	$-0.940632\pi$
$577$	0.298764	−	2.07795i	0.0124377	−	0.0865062i	0.995095	+	0.0989258i	$0.0315407\pi$
$578$	−2.64342	−	5.78828i	−0.109952	−	0.240761i
$579$	−19.8404	−	5.82567i	−0.824540	−	0.242107i
$580$	−19.4715	−	22.4713i	−0.808510	−	0.933070i
$581$	−1.17543	+	0.345137i	−0.0487650	+	0.0143187i
$582$	0.353831	+	0.227394i	0.0146668	+	0.00942577i
$583$	0.815253	−	1.78515i	0.0337643	−	0.0739335i
$584$	−0.790179	+	0.911915i	−0.0326978	+	0.0377353i
$585$	−12.3928	+	7.96440i	−0.512381	+	0.329287i
$586$	−1.99396	−	13.8683i	−0.0823698	−	0.572894i
$587$	2.37696	+	16.5321i	0.0981074	+	0.682352i	0.978218	+	0.207583i	$0.0665595\pi$
$587$	2.37696	+	16.5321i	0.0981074	+	0.682352i	−0.880110	+	0.474770i	$0.842531\pi$
$588$	−14.9206	+	9.58890i	−0.615316	+	0.395440i
$589$	1.90787	−	2.20180i	0.0786123	−	0.0907234i
$590$	0.0318699	−	0.0697854i	0.00131206	−	0.00287302i
$591$	−19.2107	−	12.3460i	−0.790222	−	0.507845i
$592$	−17.3329	+	5.08941i	−0.712380	+	0.209174i
$593$	20.7633	+	23.9621i	0.852645	+	0.984005i	0.999987	−	0.00508098i	$-0.00161733\pi$
$593$	20.7633	+	23.9621i	0.852645	+	0.984005i	−0.147342	+	0.989086i	$0.547072\pi$
$594$	−0.264942	−	0.0777940i	−0.0108707	−	0.00319193i
$595$	7.05579	+	15.4500i	0.289259	+	0.633389i
$596$	1.84733	−	12.8485i	0.0756695	−	0.526293i
$597$	−22.6016			−0.925021
$598$		0			0
$599$	−2.96111			−0.120988			−0.0604938	−	0.998169i	$-0.519268\pi$
$599$	−2.96111			−0.120988			−0.0604938	+	0.998169i	$0.519268\pi$
$600$	0.980059	−	6.81646i	0.0400107	−	0.278281i
$601$	−8.52625	−	18.6699i	−0.347793	−	0.761561i	−0.999994	−	0.00351438i	$-0.998881\pi$
$601$	−8.52625	−	18.6699i	−0.347793	−	0.761561i	0.652201	−	0.758046i	$-0.273846\pi$
$602$	4.15220	+	1.21920i	0.169231	+	0.0496907i
$603$	15.0803	+	17.4035i	0.614115	+	0.708727i
$604$	29.0613	−	8.53317i	1.18249	−	0.347210i
$605$	−23.8934	−	15.3554i	−0.971406	−	0.624284i
$606$	−8.54169	+	18.7037i	−0.346982	+	0.759785i
$607$	3.53944	−	4.08473i	0.143661	−	0.165794i	−0.679359	−	0.733806i	$-0.737742\pi$
$607$	3.53944	−	4.08473i	0.143661	−	0.165794i	0.823020	+	0.568012i	$0.192287\pi$
$608$	−7.96239	+	5.11712i	−0.322918	+	0.207527i
$609$	6.89730	+	47.9718i	0.279493	+	1.94392i
$610$	−0.00785568	−	0.0546374i	−0.000318067	−	0.00221220i
$611$	3.70347	−	2.38008i	0.149826	−	0.0962876i
$612$	4.14640	−	4.78520i	0.167608	−	0.193430i
$613$	−4.35130	+	9.52802i	−0.175747	+	0.384833i	−0.976922	−	0.213598i	$-0.931482\pi$
$613$	−4.35130	+	9.52802i	−0.175747	+	0.384833i	0.801174	+	0.598431i	$0.204209\pi$
$614$	−3.45291	−	2.21905i	−0.139348	−	0.0895537i
$615$	−44.2488	+	12.9926i	−1.78428	+	0.523913i
$616$	−0.918950	−	1.06052i	−0.0370255	−	0.0427297i
$617$	18.5108	+	5.43526i	0.745216	+	0.218815i	0.632229	−	0.774781i	$-0.282140\pi$
$617$	18.5108	+	5.43526i	0.745216	+	0.218815i	0.112987	+	0.993596i	$0.463958\pi$
$618$	−2.86028	−	6.26313i	−0.115057	−	0.251940i
$619$	−0.0392747	+	0.273161i	−0.00157858	+	0.0109793i	−0.990596	−	0.136823i	$-0.956311\pi$
$619$	−0.0392747	+	0.273161i	−0.00157858	+	0.0109793i	0.989017	+	0.147802i	$0.0472199\pi$
$620$	−6.91904			−0.277875
$621$		0			0
$622$	0.101095			0.00405353
$623$	−7.79502	+	54.2156i	−0.312301	+	2.17210i
$624$	−7.49640	−	16.4148i	−0.300096	−	0.657119i
$625$	29.4162	+	8.63739i	1.17665	+	0.345496i
$626$	9.24039	+	10.6640i	0.369320	+	0.426218i
$627$	−0.935353	+	0.274645i	−0.0373544	+	0.0109682i
$628$	−26.8164	−	17.2339i	−1.07009	−	0.687707i
$629$	5.40208	−	11.8289i	0.215395	−	0.471649i
$630$	−5.13077	+	5.92122i	−0.204415	+	0.235907i
$631$	31.8644	−	20.4780i	1.26850	−	0.815216i	0.279077	−	0.960269i	$-0.409971\pi$
$631$	31.8644	−	20.4780i	1.26850	−	0.815216i	0.989424	+	0.145053i	$0.0463351\pi$
$632$	3.07585	+	21.3930i	0.122351	+	0.850968i
$633$	2.59377	+	18.0400i	0.103093	+	0.717027i
$634$	10.5840	−	6.80194i	0.420345	−	0.270140i
$635$	−16.5868	+	19.1422i	−0.658227	+	0.759635i
$636$	13.9086	−	30.4556i	0.551512	−	1.20764i
$637$	−11.6996	−	7.51888i	−0.463555	−	0.297909i
$638$	−0.680213	+	0.199728i	−0.0269299	+	0.00790733i
$639$	10.1318	+	11.6927i	0.400808	+	0.462557i
$640$	27.9492	+	8.20662i	1.10479	+	0.324395i
$641$	−8.97733	−	19.6576i	−0.354583	−	0.776429i	−0.999921	−	0.0125320i	$-0.996011\pi$
$641$	−8.97733	−	19.6576i	−0.354583	−	0.776429i	0.645338	−	0.763897i	$-0.276716\pi$
$642$	−0.194201	+	1.35069i	−0.00766449	+	0.0533077i
$643$	26.9690			1.06355			0.531777	−	0.846884i	$-0.321524\pi$
$643$	26.9690			1.06355			0.531777	+	0.846884i	$0.321524\pi$
$644$		0			0
$645$	−15.2039			−0.598655
$646$	0.253999	−	1.76660i	0.00999346	−	0.0695060i
$647$	−3.94135	−	8.63035i	−0.154950	−	0.339294i	0.816197	−	0.577774i	$-0.196078\pi$
$647$	−3.94135	−	8.63035i	−0.154950	−	0.339294i	−0.971148	+	0.238479i	$0.923351\pi$
$648$	−19.2722	−	5.65882i	−0.757083	−	0.222300i
$649$	0.00924831	+	0.0106731i	0.000363028	+	0.000418956i
$650$	2.43302	−	0.714399i	0.0954309	−	0.0280211i
$651$	9.48750	+	6.09724i	0.371844	+	0.238970i
$652$	−10.9637	+	24.0071i	−0.429371	+	0.940190i
$653$	−14.9745	+	17.2815i	−0.585999	+	0.676279i	−0.968884	−	0.247517i	$-0.920385\pi$
$653$	−14.9745	+	17.2815i	−0.585999	+	0.676279i	0.382884	+	0.923796i	$0.374931\pi$
$654$	−6.28722	+	4.04055i	−0.245850	+	0.157998i
$655$	1.85520	+	12.9032i	0.0724886	+	0.504170i
$656$	−3.07273	−	21.3713i	−0.119970	−	0.834409i
$657$	−1.04330	+	0.670487i	−0.0407029	+	0.0261582i
$658$	1.53328	−	1.76949i	0.0597733	−	0.0689821i
$659$	10.5526	−	23.1069i	0.411070	−	0.900119i	−0.584956	−	0.811065i	$-0.698888\pi$
$659$	10.5526	−	23.1069i	0.411070	−	0.900119i	0.996027	−	0.0890538i	$-0.0283843\pi$
$660$	1.94764	+	1.25167i	0.0758116	+	0.0487212i
$661$	14.8055	−	4.34729i	0.575868	−	0.169090i	0.0191861	−	0.999816i	$-0.493893\pi$
$661$	14.8055	−	4.34729i	0.575868	−	0.169090i	0.556682	+	0.830726i	$0.312074\pi$
$662$	−7.13691	−	8.23644i	−0.277384	−	0.320118i
$663$	12.4641	+	3.65979i	0.484065	+	0.142134i
$664$	−0.270448	−	0.592199i	−0.0104954	−	0.0229818i
$665$	2.42664	−	16.8776i	0.0941009	−	0.654486i
$666$	5.99858			0.232440
$667$		0			0
$668$	−13.5273			−0.523386
$669$	3.38512	−	23.5440i	0.130876	−	0.910264i
$670$	−6.40395	−	14.0227i	−0.247406	−	0.541744i
$671$	0.00974966	+	0.00286276i	0.000376382	+	0.000110516i
$672$	−23.9934	−	27.6898i	−0.925564	−	1.06816i
$673$	22.8979	−	6.72343i	0.882649	−	0.259169i	0.191162	−	0.981558i	$-0.438774\pi$
$673$	22.8979	−	6.72343i	0.882649	−	0.259169i	0.691487	+	0.722389i	$0.256956\pi$
$674$	−0.240807	−	0.154757i	−0.00927552	−	0.00596102i
$675$	−1.81253	+	3.96888i	−0.0697643	+	0.152762i
$676$	−4.21982	+	4.86994i	−0.162301	+	0.187305i
$677$	−8.89392	+	5.71577i	−0.341821	+	0.219675i	−0.700276	−	0.713872i	$-0.746940\pi$
$677$	−8.89392	+	5.71577i	−0.341821	+	0.219675i	0.358455	+	0.933547i	$0.383304\pi$
$678$	0.203039	+	1.41217i	0.00779768	+	0.0542340i
$679$	−0.192732	−	1.34048i	−0.00739638	−	0.0514430i
$680$	−7.59342	+	4.88000i	−0.291194	+	0.187139i
$681$	−33.5031	+	38.6646i	−1.28384	+	1.48163i
$682$	−0.0685300	+	0.150060i	−0.00262415	+	0.00574609i
$683$	6.23663	+	4.00804i	0.238638	+	0.153363i	0.654494	−	0.756067i	$-0.272882\pi$
$683$	6.23663	+	4.00804i	0.238638	+	0.153363i	−0.415856	+	0.909430i	$0.636518\pi$
$684$	−6.09895	+	1.79081i	−0.233199	+	0.0684735i
$685$	−19.7386	−	22.7795i	−0.754172	−	0.870361i
$686$	3.83210	+	1.12521i	0.146310	+	0.0429606i
$687$	−12.9882	−	28.4401i	−0.495529	−	1.08506i
$688$	1.01303	−	7.04575i	0.0386213	−	0.268617i
$689$	26.2534			1.00018
$690$		0			0
$691$	−29.9490			−1.13932			−0.569658	−	0.821882i	$-0.692924\pi$
$691$	−29.9490			−1.13932			−0.569658	+	0.821882i	$0.692924\pi$
$692$	1.50792	−	10.4878i	0.0573225	−	0.398687i
$693$	−0.599142	−	1.31194i	−0.0227595	−	0.0498364i
$694$	−0.266232	−	0.0781729i	−0.0101060	−	0.00296740i
$695$	29.4116	+	33.9428i	1.11565	+	1.28753i
$696$	−24.7126	+	7.25627i	−0.936728	+	0.275048i
$697$	13.0752	+	8.40293i	0.495259	+	0.318284i
$698$	4.32066	−	9.46093i	0.163540	−	0.358102i
$699$	−35.5301	+	41.0039i	−1.34387	+	1.55091i
$700$	−8.75955	+	5.62942i	−0.331080	+	0.212772i
$701$	0.764046	+	5.31406i	0.0288576	+	0.200709i	0.999150	−	0.0412269i	$-0.0131267\pi$
$701$	0.764046	+	5.31406i	0.0288576	+	0.200709i	−0.970292	+	0.241936i	$0.922218\pi$
$702$	−0.525696	−	3.65630i	−0.0198411	−	0.137998i
$703$	−10.9824	+	7.05794i	−0.414208	+	0.266195i
$704$	−0.450783	+	0.520231i	−0.0169895	+	0.0196070i
$705$	−3.41722	+	7.48267i	−0.128700	+	0.281814i
$706$	0.269109	+	0.172946i	0.0101280	+	0.00650890i
$707$	63.5240	−	18.6523i	2.38907	−	0.701493i
$708$	0.157781	+	0.182089i	0.00592976	+	0.00684331i
$709$	7.25292	+	2.12965i	0.272389	+	0.0799806i	0.415074	−	0.909787i	$-0.363756\pi$
$709$	7.25292	+	2.12965i	0.272389	+	0.0799806i	−0.142685	+	0.989768i	$0.545574\pi$
$710$	−4.30255	−	9.42128i	−0.161472	−	0.353574i
$711$	−3.16133	+	21.9875i	−0.118559	+	0.824597i
$712$	−29.1081			−1.09087
$713$		0			0
$714$	6.90888			0.258558
$715$	−0.258354	+	1.79689i	−0.00966189	+	0.0671999i
$716$	−2.64186	−	5.78487i	−0.0987310	−	0.216191i
$717$	−0.496611	−	0.145818i	−0.0185463	−	0.00544567i
$718$	−5.05106	−	5.82924i	−0.188504	−	0.217545i
$719$	32.4192	−	9.51914i	1.20903	−	0.355004i	0.385733	−	0.922611i	$-0.373949\pi$
$719$	32.4192	−	9.51914i	1.20903	−	0.355004i	0.823300	+	0.567606i	$0.192130\pi$
$720$	10.8416	+	6.96749i	0.404044	+	0.259663i
$721$	−9.20964	+	20.1663i	−0.342985	+	0.751032i
$722$	4.78520	−	5.52242i	0.178087	−	0.205523i
$723$	−9.76529	+	6.27577i	−0.363175	+	0.233398i
$724$	−4.80699	−	33.4333i	−0.178650	−	1.24254i
$725$	1.59422	+	11.0880i	0.0592077	+	0.411798i
$726$	−9.71902	+	6.24603i	−0.360707	+	0.231812i
$727$	6.13709	−	7.08258i	0.227612	−	0.262679i	−0.630443	−	0.776235i	$-0.717127\pi$
$727$	6.13709	−	7.08258i	0.227612	−	0.262679i	0.858056	+	0.513557i	$0.171672\pi$
$728$	7.79831	−	17.0759i	0.289025	−	0.632876i
$729$	−3.34596	−	2.15032i	−0.123924	−	0.0796414i
$730$	0.796580	−	0.233897i	0.0294827	−	0.00865691i
$731$	3.35558	+	3.87254i	0.124111	+	0.143231i
$732$	0.166334	+	0.0488401i	0.00614788	+	0.00180518i
$733$	−8.37931	−	18.3481i	−0.309497	−	0.677704i	0.689414	−	0.724368i	$-0.257868\pi$
$733$	−8.37931	−	18.3481i	−0.309497	−	0.677704i	−0.998911	+	0.0466640i	$0.985141\pi$
$734$	−1.85691	+	12.9151i	−0.0685399	+	0.476705i
$735$	25.9868			0.958538
$736$		0			0
$737$	2.83779			0.104531
$738$	−1.02033	+	7.09657i	−0.0375590	+	0.261228i
$739$	13.7705	+	30.1532i	0.506556	+	1.10920i	0.974282	+	0.225330i	$0.0723460\pi$
$739$	13.7705	+	30.1532i	0.506556	+	1.10920i	−0.467726	+	0.883873i	$0.654927\pi$
$740$	29.7480	+	8.73480i	1.09356	+	0.321098i
$741$	−8.54001	−	9.85570i	−0.313725	−	0.362058i
$742$	13.3973	−	3.93379i	0.491829	−	0.144414i
$743$	−11.1071	−	7.13809i	−0.407480	−	0.261871i	0.320806	−	0.947145i	$-0.396046\pi$
$743$	−11.1071	−	7.13809i	−0.407480	−	0.261871i	−0.728286	+	0.685274i	$0.759683\pi$
$744$	−2.48974	+	5.45177i	−0.0912783	+	0.199872i
$745$	−12.4548	+	14.3736i	−0.456307	+	0.526607i
$746$	−6.67212	+	4.28791i	−0.244284	+	0.156992i
$747$	−0.0952263	−	0.662313i	−0.00348415	−	0.0242328i
$748$	−0.111044	−	0.772325i	−0.00406015	−	0.0282390i
$749$	3.69626	−	2.37544i	0.135058	−	0.0867967i
$750$	5.86153	−	6.76457i	0.214033	−	0.247007i
$751$	10.3361	−	22.6330i	0.377171	−	0.825890i	−0.621912	−	0.783087i	$-0.713644\pi$
$751$	10.3361	−	22.6330i	0.377171	−	0.825890i	0.999084	−	0.0428030i	$-0.0136288\pi$
$752$	−3.23991	−	2.08216i	−0.118147	−	0.0759286i
$753$	−61.7130	+	18.1206i	−2.24895	+	0.660350i
$754$	−6.21051	−	7.16731i	−0.226174	−	0.261018i
$755$	−42.5802	−	12.5027i	−1.54965	−	0.455019i
$756$	6.30111	+	13.7975i	0.229169	+	0.501811i
$757$	−3.64027	+	25.3187i	−0.132308	+	0.920222i	0.810227	+	0.586116i	$0.199344\pi$
$757$	−3.64027	+	25.3187i	−0.132308	+	0.920222i	−0.942535	+	0.334107i	$0.891565\pi$
$758$	−5.62941			−0.204469
$759$		0			0
$760$	9.06153			0.328696
$761$	−4.67428	+	32.5103i	−0.169442	+	1.17850i	0.710598	+	0.703598i	$0.248425\pi$
$761$	−4.67428	+	32.5103i	−0.169442	+	1.17850i	−0.880040	+	0.474899i	$0.842485\pi$
$762$	4.27996	+	9.37182i	0.155047	+	0.339505i
$763$	23.0892	+	6.77959i	0.835884	+	0.245438i
$764$	15.1780	+	17.5163i	0.549119	+	0.633717i
$765$	−8.90138	+	2.61368i	−0.321830	+	0.0944978i
$766$	−4.51707	−	2.90294i	−0.163208	−	0.104888i
$767$	−0.0784822	+	0.171852i	−0.00283383	+	0.00620521i
$768$	−0.927404	+	1.07028i	−0.0334648	+	0.0386204i
$769$	−26.2890	+	16.8949i	−0.948005	+	0.609246i	−0.920654	−	0.390380i	$-0.872344\pi$
$769$	−26.2890	+	16.8949i	−0.948005	+	0.609246i	−0.0273514	+	0.999626i	$0.508707\pi$
$770$	0.137405	+	0.955676i	0.00495175	+	0.0344402i
$771$	−3.54628	−	24.6649i	−0.127716	−	0.888285i
$772$	−13.9777	+	8.98293i	−0.503069	+	0.323303i
$773$	−4.47145	+	5.16033i	−0.160827	+	0.185604i	−0.830444	−	0.557103i	$-0.811913\pi$
$773$	−4.47145	+	5.16033i	−0.160827	+	0.185604i	0.669617	+	0.742707i	$0.266458\pi$
$774$	−0.981907	+	2.15008i	−0.0352939	+	0.0772829i
$775$	2.19290	+	1.40929i	0.0787714	+	0.0506233i
$776$	0.690547	−	0.202763i	0.0247892	−	0.00727876i
$777$	−33.0936	−	38.1920i	−1.18723	−	1.37013i
$778$	−1.88073	−	0.552231i	−0.0674273	−	0.0197984i
$779$	−6.48179	−	14.1931i	−0.232234	−	0.508522i
$780$	−4.40764	+	30.6558i	−0.157819	+	1.09765i
$781$	1.90660			0.0682234
$782$		0			0
$783$	16.3184			0.583172
$784$	−1.73148	+	12.0427i	−0.0618386	+	0.430097i
$785$	19.4021	+	42.4847i	0.692492	+	1.51635i
$786$	5.08776	+	1.49390i	0.181474	+	0.0532857i
$787$	−19.8777	−	22.9401i	−0.708563	−	0.817725i	0.281320	−	0.959614i	$-0.409228\pi$
$787$	−19.8777	−	22.9401i	−0.708563	−	0.817725i	−0.989883	+	0.141889i	$0.954682\pi$
$788$	−17.6059	+	5.16956i	−0.627184	+	0.184158i
$789$	44.6482	+	28.6936i	1.58952	+	1.02152i
$790$	6.17743	−	13.5267i	0.219783	−	0.481258i
$791$	3.00825	−	3.47170i	0.106961	−	0.123440i
$792$	0.644795	−	0.414385i	0.0229118	−	0.0147245i
$793$	0.0193452	+	0.134549i	0.000686969	+	0.00477797i
$794$	−0.185206	−	1.28814i	−0.00657271	−	0.0457142i
$795$	−41.2688	+	26.5218i	−1.46365	+	0.940632i
$796$	−11.8929	+	13.7251i	−0.421533	+	0.486475i
$797$	8.20679	−	17.9704i	0.290699	−	0.636543i	−0.706785	−	0.707428i	$-0.749855\pi$
$797$	8.20679	−	17.9704i	0.290699	−	0.636543i	0.997484	+	0.0708856i	$0.0225825\pi$
$798$	−5.83479	−	3.74979i	−0.206549	−	0.132741i
$799$	2.66008	−	0.781071i	0.0941070	−	0.0276323i
$800$	−5.54573	−	6.40012i	−0.196071	−	0.226278i
$801$	−28.7052	−	8.42861i	−1.01425	−	0.297810i
$802$	−3.62548	−	7.93870i	−0.128020	−	0.280325i
$803$	−0.0217496	+	0.151272i	−0.000767528	+	0.00533828i
$804$	48.4141			1.70743
$805$		0			0
$806$	−2.20686			−0.0777332
$807$	−2.05836	+	14.3162i	−0.0724578	+	0.503955i
$808$	14.6159	+	32.0043i	0.514185	+	1.12591i
$809$	24.9137	+	7.31531i	0.875917	+	0.257193i	0.688630	−	0.725113i	$-0.258212\pi$
$809$	24.9137	+	7.31531i	0.875917	+	0.257193i	0.187287	+	0.982305i	$0.440031\pi$
$810$	9.05001	+	10.4443i	0.317985	+	0.366974i
$811$	−50.8860	+	14.9415i	−1.78685	+	0.524667i	−0.996160	−	0.0875496i	$-0.972096\pi$
$811$	−50.8860	+	14.9415i	−1.78685	+	0.524667i	−0.790690	+	0.612216i	$0.790278\pi$
$812$	32.7609	+	21.0542i	1.14968	+	0.738856i
$813$	18.3389	−	40.1567i	0.643175	−	1.40836i
$814$	0.484081	−	0.558659i	0.0169670	−	0.0195810i
$815$	32.5307	−	20.9062i	1.13950	−	0.732313i
$816$	−1.61731	−	11.2486i	−0.0566170	−	0.393780i
$817$	−0.732082	−	5.09174i	−0.0256123	−	0.178137i
$818$	−5.27238	+	3.38835i	−0.184344	+	0.118471i
$819$	12.6349	−	14.5815i	0.441499	−	0.509518i
$820$	−15.3937	+	33.7074i	−0.537570	+	1.17711i
$821$	35.8583	+	23.0447i	1.25146	+	0.804267i	0.987092	−	0.160154i	$-0.0511989\pi$
$821$	35.8583	+	23.0447i	1.25146	+	0.804267i	0.264372	+	0.964421i	$0.414835\pi$
$822$	−11.7639	+	3.45421i	−0.410315	+	0.120479i
$823$	19.9197	+	22.9886i	0.694357	+	0.801331i	0.987979	−	0.154591i	$-0.0494060\pi$
$823$	19.9197	+	22.9886i	0.694357	+	0.801331i	−0.293622	+	0.955922i	$0.594861\pi$
$824$	−11.3044	−	3.31929i	−0.393809	−	0.115633i
$825$	−0.362334	−	0.793402i	−0.0126149	−	0.0276227i
$826$	−0.0142997	+	0.0994568i	−0.000497551	+	0.00346055i
$827$	−41.6718			−1.44907			−0.724535	−	0.689238i	$-0.757945\pi$
$827$	−41.6718			−1.44907			−0.724535	+	0.689238i	$0.757945\pi$
$828$		0			0
$829$	−7.98458			−0.277316			−0.138658	−	0.990340i	$-0.544279\pi$
$829$	−7.98458			−0.277316			−0.138658	+	0.990340i	$0.544279\pi$
$830$	−0.0637475	+	0.443373i	−0.00221271	+	0.0153897i
$831$	−6.95748	−	15.2348i	−0.241352	−	0.528488i
$832$	−8.83560	−	2.59436i	−0.306319	−	0.0899434i
$833$	−5.73541	−	6.61902i	−0.198720	−	0.229335i
$834$	17.5290	−	5.14697i	0.606979	−	0.178225i
$835$	16.6736	+	10.7155i	0.577014	+	0.370824i
$836$	−0.325399	+	0.712524i	−0.0112542	+	0.0246432i
$837$	2.48669	−	2.86979i	0.0859526	−	0.0991946i
$838$	−0.816088	+	0.524468i	−0.0281913	+	0.0181175i
$839$	−4.81039	−	33.4570i	−0.166073	−	1.15506i	−0.886904	−	0.461953i	$-0.847149\pi$
$839$	−4.81039	−	33.4570i	−0.166073	−	1.15506i	0.720831	−	0.693110i	$-0.243760\pi$
$840$	4.99203	+	34.7203i	0.172241	+	1.19797i
$841$	10.8487	−	6.97204i	0.374093	−	0.240415i
$842$	−4.51941	+	5.21568i	−0.155749	+	0.179744i
$843$	29.4085	−	64.3957i	1.01288	−	2.21791i
$844$	12.3199	+	7.91752i	0.424069	+	0.272532i
$845$	9.05900	−	2.65996i	0.311639	−	0.0915055i
$846$	0.837476	+	0.966498i	0.0287930	+	0.0332289i
$847$	35.6921	+	10.4801i	1.22640	+	0.360102i
$848$	−9.54094	−	20.8917i	−0.327637	−	0.717426i
$849$	−1.89400	+	13.1731i	−0.0650020	+	0.452099i
$850$	1.59689			0.0547729
$851$		0			0
$852$	32.5275			1.11437
$853$	4.13719	−	28.7748i	0.141655	−	0.985231i	−0.787704	−	0.616054i	$-0.788730\pi$
$853$	4.13719	−	28.7748i	0.141655	−	0.985231i	0.929359	−	0.369177i	$-0.120360\pi$
$854$	0.0300327	+	0.0657625i	0.00102770	+	0.00225035i
$855$	8.93610	+	2.62388i	0.305608	+	0.0897347i
$856$	1.52908	+	1.76466i	0.0522630	+	0.0603147i
$857$	16.7704	−	4.92425i	0.572867	−	0.168209i	0.0175477	−	0.999846i	$-0.494414\pi$
$857$	16.7704	−	4.92425i	0.572867	−	0.168209i	0.555320	+	0.831637i	$0.312596\pi$
$858$	0.621206	+	0.399225i	0.0212076	+	0.0136293i
$859$	−18.4180	+	40.3299i	−0.628415	+	1.37604i	0.280822	+	0.959760i	$0.409393\pi$
$859$	−18.4180	+	40.3299i	−0.628415	+	1.37604i	−0.909237	+	0.416278i	$0.863334\pi$
$860$	−8.00028	+	9.23281i	−0.272807	+	0.314836i
$861$	50.8119	−	32.6548i	1.73166	−	1.11287i
$862$	−0.907470	−	6.31159i	−0.0309086	−	0.214974i
$863$	1.57220	+	10.9349i	0.0535184	+	0.372229i	0.998926	+	0.0463378i	$0.0147551\pi$
$863$	1.57220	+	10.9349i	0.0535184	+	0.372229i	−0.945407	+	0.325891i	$0.894336\pi$
$864$	−10.3781	+	6.66959i	−0.353070	+	0.226904i
$865$	−10.1665	+	11.7327i	−0.345670	+	0.398924i
$866$	−7.03014	+	15.3939i	−0.238894	+	0.523105i
$867$	−24.6326	−	15.8304i	−0.836565	−	0.537628i
$868$	8.69494	−	2.55307i	0.295126	−	0.0866567i
$869$	1.79262	+	2.06880i	0.0608106	+	0.0701792i
$870$	17.0031	+	4.99257i	0.576460	+	0.169264i
$871$	15.7702	+	34.5320i	0.534354	+	1.17007i
$872$	−1.81997	+	12.6581i	−0.0616319	+	0.428659i
$873$	0.739701			0.0250351
$874$		0			0
$875$	−28.8202			−0.974300
$876$	−0.371060	+	2.58078i	−0.0125369	+	0.0871963i
$877$	−8.17211	−	17.8944i	−0.275953	−	0.604252i	0.720016	−	0.693958i	$-0.244135\pi$
$877$	−8.17211	−	17.8944i	−0.275953	−	0.604252i	−0.995968	+	0.0897059i	$0.971407\pi$
$878$	5.93444	+	1.74251i	0.200278	+	0.0588068i
$879$	−42.2196	−	48.7240i	−1.42403	−	1.64342i
$880$	1.52381	−	0.447430i	0.0513675	−	0.0150829i
$881$	17.6261	+	11.3276i	0.593840	+	0.381638i	0.802766	−	0.596294i	$-0.203361\pi$
$881$	17.6261	+	11.3276i	0.593840	+	0.381638i	−0.208927	+	0.977931i	$0.566997\pi$
$882$	1.67829	−	3.67495i	0.0565110	−	0.123742i
$883$	26.9217	−	31.0693i	0.905987	−	1.04556i	−0.0927684	−	0.995688i	$-0.529572\pi$
$883$	26.9217	−	31.0693i	0.905987	−	1.04556i	0.998755	−	0.0498770i	$-0.0158829\pi$
$884$	8.78103	−	5.64323i	0.295338	−	0.189802i
$885$	−0.0502398	−	0.349425i	−0.00168879	−	0.0117458i
$886$	0.486335	+	3.38253i	0.0163387	+	0.113638i
$887$	33.5257	−	21.5457i	1.12568	−	0.723432i	0.161028	−	0.986950i	$-0.448519\pi$
$887$	33.5257	−	21.5457i	1.12568	−	0.723432i	0.964655	+	0.263517i	$0.0848827\pi$
$888$	17.5870	−	20.2964i	0.590180	−	0.681104i
$889$	13.7808	−	30.1758i	0.462194	−	1.01206i
$890$	16.8481	+	10.8276i	0.564751	+	0.362944i
$891$	−2.44094	+	0.716724i	−0.0817744	+	0.0240111i
$892$	−12.5162	−	14.4445i	−0.419073	−	0.483636i
$893$	−2.67046	−	0.784118i	−0.0893636	−	0.0262395i
$894$	3.21376	+	7.03715i	0.107484	+	0.235357i
$895$	−1.32608	+	9.22311i	−0.0443261	+	0.308295i
$896$	−38.1510			−1.27454
$897$		0			0
$898$	−1.46742			−0.0489683
$899$	1.38745	−	9.64992i	0.0462740	−	0.321843i
$900$	−2.36259	−	5.17336i	−0.0787531	−	0.172445i
$901$	15.8635	+	4.65794i	0.528489	+	0.155178i
$902$	0.578577	+	0.667713i	0.0192645	+	0.0222324i
$903$	19.1063	−	5.61012i	0.635818	−	0.186693i
$904$	2.05371	+	1.31984i	0.0683053	+	0.0438972i
$905$	−20.5588	+	45.0175i	−0.683398	+	1.49643i
$906$	−11.8211	+	13.6423i	−0.392731	+	0.453236i
$907$	−32.0192	+	20.5775i	−1.06318	+	0.683263i	−0.950612	−	0.310381i	$-0.899543\pi$
$907$	−32.0192	+	20.5775i	−1.06318	+	0.683263i	−0.112566	+	0.993644i	$0.535907\pi$
$908$	5.85041	+	40.6905i	0.194153	+	1.35036i
$909$	5.14634	+	35.7936i	0.170693	+	1.18720i
$910$	−10.8657	+	6.98294i	−0.360193	+	0.231482i
$911$	−32.8913	+	37.9586i	−1.08974	+	1.25762i	−0.125640	+	0.992076i	$0.540099\pi$
$911$	−32.8913	+	37.9586i	−1.08974	+	1.25762i	−0.964097	+	0.265549i	$0.914447\pi$
$912$	−4.73931	+	10.3776i	−0.156934	+	0.343638i
$913$	−0.0693672	−	0.0445796i	−0.00229572	−	0.00147537i
$914$	7.77569	−	2.28315i	0.257197	−	0.0755198i
$915$	−0.166334	−	0.191960i	−0.00549883	−	0.00634599i
$916$	−24.1050	−	7.07787i	−0.796452	−	0.233859i
$917$	−7.09254	−	15.5305i	−0.234216	−	0.512862i
$918$	0.331059	−	2.30257i	0.0109266	−	0.0759961i
$919$	−50.0605			−1.65134			−0.825671	−	0.564152i	$-0.809203\pi$
$919$	−50.0605			−1.65134			−0.825671	+	0.564152i	$0.809203\pi$
$920$		0			0
$921$	−18.8868			−0.622340
$922$	0.262309	−	1.82440i	0.00863868	−	0.0600833i
$923$	10.5954	+	23.2006i	0.348751	+	0.763658i
$924$	−2.90939	−	0.854273i	−0.0957118	−	0.0281035i
$925$	−7.64912	−	8.82756i	−0.251502	−	0.290248i
$926$	−5.24676	+	1.54059i	−0.172419	+	0.0506268i
$927$	−10.1868	−	6.54668i	−0.334580	−	0.215021i
$928$	−13.1573	+	28.8105i	−0.431909	+	0.945749i
$929$	2.36026	−	2.72388i	0.0774376	−	0.0893678i	−0.715709	−	0.698399i	$-0.753896\pi$
$929$	2.36026	−	2.72388i	0.0774376	−	0.0893678i	0.793146	+	0.609031i	$0.208442\pi$
$930$	3.46904	−	2.22942i	0.113754	−	0.0731055i
$931$	1.25129	+	8.70288i	0.0410092	+	0.285225i
$932$	6.20437	+	43.1523i	0.203231	+	1.41350i
$933$	0.391340	−	0.251499i	0.0128119	−	0.00823370i
$934$	8.82239	−	10.1816i	0.288677	−	0.333151i
$935$	−0.474918	+	1.03992i	−0.0155315	+	0.0340092i
$936$	8.62576	+	5.54344i	0.281942	+	0.181193i
$937$	−32.3732	+	9.50562i	−1.05759	+	0.310535i	−0.763878	−	0.645361i	$-0.776707\pi$
$937$	−32.3732	+	9.50562i	−1.05759	+	0.310535i	−0.293707	+	0.955896i	$0.594889\pi$
$938$	13.2219	+	15.2589i	0.431710	+	0.498220i
$939$	62.2991	+	18.2927i	2.03306	+	0.596959i
$940$	2.74583	+	6.01252i	0.0895590	+	0.196107i
$941$	4.60291	−	32.0139i	0.150050	−	1.04362i	−0.766080	−	0.642745i	$-0.777796\pi$
$941$	4.60291	−	32.0139i	0.150050	−	1.04362i	0.916131	−	0.400879i	$-0.131295\pi$
$942$	18.9981			0.618993
$943$		0			0
$944$	0.165277			0.00537930
$945$	3.16285	−	21.9981i	0.102887	−	0.715598i
$946$	0.121002	+	0.264956i	0.00393410	+	0.00861448i
$947$	−37.8045	−	11.1004i	−1.22848	−	0.360714i	−0.397804	−	0.917470i	$-0.630228\pi$
$947$	−37.8045	−	11.1004i	−1.22848	−	0.360714i	−0.830676	+	0.556756i	$0.812046\pi$
$948$	30.5831	+	35.2947i	0.993291	+	1.14632i
$949$	−1.96164	+	0.575989i	−0.0636775	+	0.0186974i
$950$	−1.34863	−	0.866712i	−0.0437554	−	0.0281199i
$951$	24.0494	−	52.6609i	0.779856	−	1.70765i
$952$	7.74174	−	8.93444i	0.250911	−	0.289567i
$953$	26.1517	−	16.8067i	0.847135	−	0.544421i	−0.0435447	−	0.999051i	$-0.513865\pi$
$953$	26.1517	−	16.8067i	0.847135	−	0.544421i	0.890680	+	0.454631i	$0.150229\pi$
$954$	1.08537	+	7.54890i	0.0351401	+	0.244405i
$955$	−4.83290	−	33.6135i	−0.156389	−	1.08771i
$956$	−0.349865	+	0.224845i	−0.0113155	+	0.00727200i
$957$	−2.13624	+	2.46536i	−0.0690549	+	0.0796936i
$958$	4.74382	−	10.3875i	0.153266	−	0.335605i
$959$	33.2103	+	21.3430i	1.07242	+	0.689200i
$960$	16.5099	−	4.84775i	0.532855	−	0.156460i
$961$	18.8150	+	21.7137i	0.606937	+	0.700443i
$962$	9.48825	+	2.78600i	0.305913	+	0.0898243i
$963$	0.996941	+	2.18300i	0.0321260	+	0.0703461i
$964$	−1.32742	+	9.23241i	−0.0427533	+	0.297356i
$965$	24.3446			0.783679
$966$		0			0
$967$	33.5947			1.08033			0.540167	−	0.841558i	$-0.318361\pi$
$967$	33.5947			1.08033			0.540167	+	0.841558i	$0.318361\pi$
$968$	−2.81337	+	19.5675i	−0.0904253	+	0.628922i
$969$	−3.41164	−	7.47045i	−0.109598	−	0.239985i
$970$	−0.475121	−	0.139508i	−0.0152552	−	0.00447933i
$971$	−8.08081	−	9.32575i	−0.259325	−	0.299277i	0.611124	−	0.791535i	$-0.290717\pi$
$971$	−8.08081	−	9.32575i	−0.259325	−	0.299277i	−0.870450	+	0.492257i	$0.836172\pi$
$972$	−28.7939	+	8.45467i	−0.923566	+	0.271184i
$973$	−49.4853	−	31.8023i	−1.58643	−	1.01953i
$974$	3.42140	−	7.49183i	0.109629	−	0.240054i
$975$	7.64103	−	8.81822i	0.244709	−	0.282409i
$976$	0.100040	−	0.0642918i	0.00320220	−	0.00205793i
$977$	6.43657	+	44.7673i	0.205924	+	1.43223i	0.786280	+	0.617870i	$0.212004\pi$
$977$	6.43657	+	44.7673i	0.205924	+	1.43223i	−0.580356	+	0.814363i	$0.697087\pi$
$978$	−2.23852	−	15.5693i	−0.0715800	−	0.497850i
$979$	−3.10146	+	1.99319i	−0.0991232	+	0.0637026i
$980$	13.6742	−	15.7809i	0.436806	−	0.504101i
$981$	−5.46010	+	11.9559i	−0.174328	+	0.381724i
$982$	−13.7592	−	8.84247i	−0.439072	−	0.282175i
$983$	−14.6491	+	4.30136i	−0.467234	+	0.137192i	−0.506871	−	0.862022i	$-0.669198\pi$
$983$	−14.6491	+	4.30136i	−0.467234	+	0.137192i	0.0396372	+	0.999214i	$0.487380\pi$
$984$	21.0201	+	24.2585i	0.670096	+	0.773332i
$985$	25.7959	+	7.57436i	0.821926	+	0.241339i
$986$	−2.48103	−	5.43270i	−0.0790121	−	0.173012i
$987$	1.53328	−	10.6642i	0.0488047	−	0.339444i
$988$	−10.4788			−0.333374
$989$		0			0
$990$	−0.527358			−0.0167605
$991$	−2.81075	+	19.5492i	−0.0892864	+	0.621000i	0.895216	+	0.445632i	$0.147021\pi$
$991$	−2.81075	+	19.5492i	−0.0892864	+	0.621000i	−0.984503	+	0.175369i	$0.943888\pi$
$992$	3.06170	+	6.70418i	0.0972090	+	0.212858i
$993$	−48.1174	−	14.1285i	−1.52696	−	0.448356i
$994$	8.88325	+	10.2518i	0.281760	+	0.325168i
$995$	25.5313	−	7.49668i	0.809398	−	0.237661i
$996$	−1.18344	−	0.760550i	−0.0374987	−	0.0240989i
$997$	5.08851	−	11.1423i	0.161155	−	0.352880i	−0.811779	−	0.583965i	$-0.801500\pi$
$997$	5.08851	−	11.1423i	0.161155	−	0.352880i	0.972933	+	0.231085i	$0.0742277\pi$
$998$	−9.58694	+	11.0639i	−0.303469	+	0.350222i
$999$	−14.3143	+	9.19924i	−0.452884	+	0.291051i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	529.2.c.h.399.1		10
23.2	even	11		529.2.c.f.170.1		10
23.3	even	11	inner	529.2.c.h.118.1		10
23.4	even	11		529.2.c.c.266.1		10
23.5	odd	22		529.2.c.b.177.1		10
23.6	even	11		529.2.c.e.334.1		10
23.7	odd	22		529.2.a.i.1.3		5
23.8	even	11		529.2.c.a.466.1		10
23.9	even	11		529.2.c.a.487.1		10
23.10	odd	22		529.2.c.g.501.1		10
23.11	odd	22		529.2.c.d.255.1		10
23.12	even	11		529.2.c.e.255.1		10
23.13	even	11		529.2.c.f.501.1		10
23.14	odd	22		23.2.c.a.4.1	✓	10
23.15	odd	22		23.2.c.a.6.1	yes	10
23.16	even	11		529.2.a.j.1.3		5
23.17	odd	22		529.2.c.d.334.1		10
23.18	even	11		529.2.c.c.177.1		10
23.19	odd	22		529.2.c.b.266.1		10
23.20	odd	22		529.2.c.i.118.1		10
23.21	odd	22		529.2.c.g.170.1		10
23.22	odd	2		529.2.c.i.399.1		10
69.14	even	22		207.2.i.c.73.1		10
69.38	even	22		207.2.i.c.190.1		10
69.53	even	22		4761.2.a.bo.1.3		5
69.62	odd	22		4761.2.a.bn.1.3		5
92.7	even	22		8464.2.a.bs.1.1		5
92.15	even	22		368.2.m.c.305.1		10
92.39	odd	22		8464.2.a.bt.1.1		5
92.83	even	22		368.2.m.c.257.1		10
115.14	odd	22		575.2.k.b.326.1		10
115.37	even	44		575.2.p.b.349.1		20
115.38	even	44		575.2.p.b.374.1		20
115.83	even	44		575.2.p.b.349.2		20
115.84	odd	22		575.2.k.b.351.1		10
115.107	even	44		575.2.p.b.374.2		20

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
23.2.c.a.4.1	✓	10	23.14	odd	22
23.2.c.a.6.1	yes	10	23.15	odd	22
207.2.i.c.73.1		10	69.14	even	22
207.2.i.c.190.1		10	69.38	even	22
368.2.m.c.257.1		10	92.83	even	22
368.2.m.c.305.1		10	92.15	even	22
529.2.a.i.1.3		5	23.7	odd	22
529.2.a.j.1.3		5	23.16	even	11
529.2.c.a.466.1		10	23.8	even	11
529.2.c.a.487.1		10	23.9	even	11
529.2.c.b.177.1		10	23.5	odd	22
529.2.c.b.266.1		10	23.19	odd	22
529.2.c.c.177.1		10	23.18	even	11
529.2.c.c.266.1		10	23.4	even	11
529.2.c.d.255.1		10	23.11	odd	22
529.2.c.d.334.1		10	23.17	odd	22
529.2.c.e.255.1		10	23.12	even	11
529.2.c.e.334.1		10	23.6	even	11
529.2.c.f.170.1		10	23.2	even	11
529.2.c.f.501.1		10	23.13	even	11
529.2.c.g.170.1		10	23.21	odd	22
529.2.c.g.501.1		10	23.10	odd	22
529.2.c.h.118.1		10	23.3	even	11	inner
529.2.c.h.399.1		10	1.1	even	1	trivial
529.2.c.i.118.1		10	23.20	odd	22
529.2.c.i.399.1		10	23.22	odd	2
575.2.k.b.326.1		10	115.14	odd	22
575.2.k.b.351.1		10	115.84	odd	22
575.2.p.b.349.1		20	115.37	even	44
575.2.p.b.349.2		20	115.83	even	44
575.2.p.b.374.1		20	115.38	even	44
575.2.p.b.374.2		20	115.107	even	44
4761.2.a.bn.1.3		5	69.62	odd	22
4761.2.a.bo.1.3		5	69.53	even	22
8464.2.a.bs.1.1		5	92.7	even	22
8464.2.a.bt.1.1		5	92.39	odd	22

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 529 = 23^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	529.c (of order \(11\), degree \(10\), not minimal)

\(f(q)\)	\(=\)	\(q+(-0.0681534 + 0.474017i) q^{2} +(0.915415 + 2.00448i) q^{3} +(1.69894 + 0.498853i) q^{4} +(-1.69894 - 1.96068i) q^{5} +(-1.01255 + 0.297310i) q^{6} +(2.85848 + 1.83703i) q^{7} +(-0.750131 + 1.64256i) q^{8} +(-1.21537 + 1.40261i) q^{9} +(1.04518 - 0.671699i) q^{10} +(0.0325485 + 0.226380i) q^{11} +(0.555293 + 3.86215i) q^{12} +(-2.57385 + 1.65411i) q^{13} +(-1.06560 + 1.22977i) q^{14} +(2.37491 - 5.20032i) q^{15} +(2.25168 + 1.44706i) q^{16} +(-1.84871 + 0.542830i) q^{17} +(-0.582030 - 0.671699i) q^{18} +(1.85592 + 0.544948i) q^{19} +(-1.90830 - 4.17860i) q^{20} +(-1.06560 + 7.41140i) q^{21} -0.109526 q^{22} -3.97915 q^{24} +(-0.246298 + 1.71304i) q^{25} +(-0.608660 - 1.33278i) q^{26} +(2.41899 + 0.710278i) q^{27} +(3.93997 + 4.54696i) q^{28} +(6.21051 - 1.82357i) q^{29} +(2.30318 + 1.48017i) q^{30} +(0.625696 - 1.37008i) q^{31} +(-3.20441 + 3.69808i) q^{32} +(-0.423978 + 0.272474i) q^{33} +(-0.131315 - 0.913316i) q^{34} +(-1.25455 - 8.72556i) q^{35} +(-2.76454 + 1.77666i) q^{36} +(-4.41978 + 5.10069i) q^{37} +(-0.384802 + 0.842599i) q^{38} +(-5.67177 - 3.64502i) q^{39} +(4.49496 - 1.31984i) q^{40} +(-5.28255 - 6.09639i) q^{41} +(-3.44051 - 1.01022i) q^{42} +(-1.10477 - 2.41912i) q^{43} +(-0.0576324 + 0.400842i) q^{44} +4.81491 q^{45} -1.43889 q^{47} +(-0.839393 + 5.83810i) q^{48} +(1.88830 + 4.13480i) q^{49} +(-0.795225 - 0.233499i) q^{50} +(-2.78043 - 3.20879i) q^{51} +(-5.19797 + 1.52626i) q^{52} +(-7.21866 - 4.63915i) q^{53} +(-0.501546 + 1.09823i) q^{54} +(0.388560 - 0.448422i) q^{55} +(-5.16166 + 3.31720i) q^{56} +(0.606602 + 4.21901i) q^{57} +(0.441136 + 3.06817i) q^{58} +(0.0519469 - 0.0333843i) q^{59} +(6.62902 - 7.65030i) q^{60} +(0.0184565 - 0.0404141i) q^{61} +(0.606800 + 0.389966i) q^{62} +(-6.05075 + 1.77666i) q^{63} +(1.97100 + 2.27466i) q^{64} +(7.61599 + 2.23626i) q^{65} +(-0.100262 - 0.219543i) q^{66} +(1.76584 - 12.2817i) q^{67} -3.41164 q^{68} +4.22157 q^{70} +(1.18639 - 8.25154i) q^{71} +(-1.39218 - 3.04846i) q^{72} +(0.641156 + 0.188260i) q^{73} +(-2.11659 - 2.44268i) q^{74} +(-3.65922 + 1.07444i) q^{75} +(2.88125 + 1.85167i) q^{76} +(-0.322827 + 0.706893i) q^{77} +(2.11435 - 2.44009i) q^{78} +(10.0690 - 6.47096i) q^{79} +(-0.988230 - 6.87329i) q^{80} +(1.58301 + 11.0101i) q^{81} +(3.24982 - 2.08853i) q^{82} +(-0.236100 + 0.272474i) q^{83} +(-5.50759 + 12.0599i) q^{84} +(4.20516 + 2.70249i) q^{85} +(1.22200 - 0.358811i) q^{86} +(9.34051 + 10.7795i) q^{87} +(-0.396257 - 0.116352i) q^{88} +(6.69640 + 14.6631i) q^{89} +(-0.328152 + 2.28235i) q^{90} -10.3959 q^{91} +3.31908 q^{93} +(0.0980649 - 0.682057i) q^{94} +(-2.08463 - 4.56470i) q^{95} +(-10.3461 - 3.03789i) q^{96} +(-0.261003 - 0.301213i) q^{97} +(-2.08866 + 0.613285i) q^{98} +(-0.357081 - 0.229482i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 10 q + 4 q^{2} + 4 q^{3} + 8 q^{4} - 8 q^{5} - 5 q^{6} + 5 q^{7} - 7 q^{8} - 13 q^{9} + 10 q^{10} - 7 q^{11} - 21 q^{12} - 3 q^{13} - 9 q^{14} + 10 q^{15} - 10 q^{16} - 12 q^{17} - 14 q^{18} - 2 q^{19}+ \cdots - 14 q^{99}+O(q^{100}) \) 10 * q + 4 * q^2 + 4 * q^3 + 8 * q^4 - 8 * q^5 - 5 * q^6 + 5 * q^7 - 7 * q^8 - 13 * q^9 + 10 * q^10 - 7 * q^11 - 21 * q^12 - 3 * q^13 - 9 * q^14 + 10 * q^15 - 10 * q^16 - 12 * q^17 - 14 * q^18 - 2 * q^19 - 2 * q^20 - 9 * q^21 + 6 * q^22 - 38 * q^24 - 15 * q^25 - 10 * q^26 + 7 * q^27 - 18 * q^28 + 3 * q^29 + 26 * q^30 + 10 * q^31 + 10 * q^32 - 5 * q^33 + 26 * q^34 - 4 * q^35 - 17 * q^36 - 3 * q^37 - 14 * q^38 - 10 * q^39 - q^40 - 4 * q^41 - 19 * q^42 - 21 * q^44 + 6 * q^45 - 18 * q^47 - 4 * q^48 + 4 * q^49 + 5 * q^50 + 15 * q^51 + 2 * q^52 - 18 * q^53 + 27 * q^54 - 12 * q^55 - 31 * q^56 - 36 * q^57 + 43 * q^58 + q^59 + 41 * q^60 + 30 * q^61 + 15 * q^62 - q^63 + 13 * q^64 + 42 * q^65 - 24 * q^66 - q^67 + 30 * q^68 + 38 * q^70 + 8 * q^71 - 14 * q^72 - 25 * q^73 + 23 * q^74 + 5 * q^75 - 50 * q^76 - 31 * q^77 + 7 * q^78 - 18 * q^79 + 8 * q^80 - 11 * q^81 + 5 * q^82 - 29 * q^83 - 16 * q^84 - 8 * q^85 + 11 * q^86 + 54 * q^87 - 5 * q^88 + 63 * q^89 + 42 * q^90 + 4 * q^91 + 4 * q^93 + 17 * q^94 + 28 * q^95 - 7 * q^96 + 12 * q^97 - 27 * q^98 - 14 * q^99

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