LMFDB - Embedded newform 504.2.cq.a.277.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [504,2,Mod(277,504)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(504, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 3, 4, 4]))

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

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

chi := DirichletCharacter("504.277");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 504 = 2^{3} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	504.cq (of order $6$, degree $2$, 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:	$4.02446026187$
Analytic rank:	$0$
Dimension:	$184$
Relative dimension:	$92$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			277.7
Character	$\chi$	$=$	504.277
Dual form			504.2.cq.a.373.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.38729 - 0.274643i) q^{2} +(-0.170331 - 1.72366i) q^{3} +(1.84914 + 0.762020i) q^{4} +(-2.08943 - 1.20633i) q^{5} +(-0.237093 + 2.43799i) q^{6} +(0.664788 + 2.56087i) q^{7} +(-2.35601 - 1.56500i) q^{8} +(-2.94197 + 0.587183i) q^{9} +O(q^{10})$	\(q+(-1.38729 - 0.274643i) q^{2} +(-0.170331 - 1.72366i) q^{3} +(1.84914 + 0.762020i) q^{4} +(-2.08943 - 1.20633i) q^{5} +(-0.237093 + 2.43799i) q^{6} +(0.664788 + 2.56087i) q^{7} +(-2.35601 - 1.56500i) q^{8} +(-2.94197 + 0.587183i) q^{9} +(2.56733 + 2.24738i) q^{10} +(0.0840799 - 0.0485436i) q^{11} +(0.998494 - 3.31708i) q^{12} +(1.25114 - 0.722344i) q^{13} +(-0.218927 - 3.73525i) q^{14} +(-1.72341 + 3.80693i) q^{15} +(2.83865 + 2.81817i) q^{16} +(-3.63348 + 6.29337i) q^{17} +(4.24264 - 0.00659859i) q^{18} +(-6.43476 + 3.71511i) q^{19} +(-2.94440 - 3.82286i) q^{20} +(4.30082 - 1.58206i) q^{21} +(-0.129975 + 0.0442520i) q^{22} +(1.36422 - 2.36290i) q^{23} +(-2.29621 + 4.32752i) q^{24} +(0.410473 + 0.710960i) q^{25} +(-1.93408 + 0.658484i) q^{26} +(1.51321 + 4.97094i) q^{27} +(-0.722146 + 5.24199i) q^{28} +(3.38573 + 1.95475i) q^{29} +(3.43641 - 4.80799i) q^{30} +4.57123 q^{31} +(-3.16404 - 4.68923i) q^{32} +(-0.0979938 - 0.136656i) q^{33} +(6.76912 - 7.73281i) q^{34} +(1.70023 - 6.15271i) q^{35} +(-5.88757 - 1.15606i) q^{36} +(0.211830 - 0.122300i) q^{37} +(9.94720 - 3.38667i) q^{38} +(-1.45818 - 2.03349i) q^{39} +(3.03481 + 6.11208i) q^{40} +(4.81222 + 8.33501i) q^{41} +(-6.40099 + 1.01358i) q^{42} +(-1.39767 - 0.806947i) q^{43} +(0.192467 - 0.0256934i) q^{44} +(6.85538 + 2.32212i) q^{45} +(-2.54152 + 2.90335i) q^{46} -6.09046 q^{47} +(4.37404 - 5.37288i) q^{48} +(-6.11611 + 3.40487i) q^{49} +(-0.374184 - 1.09904i) q^{50} +(11.4665 + 5.19091i) q^{51} +(2.86397 - 0.382326i) q^{52} +(6.46647 + 3.73342i) q^{53} +(-0.734025 - 7.31172i) q^{54} -0.234239 q^{55} +(2.44151 - 7.07383i) q^{56} +(7.49960 + 10.4585i) q^{57} +(-4.16013 - 3.64168i) q^{58} +2.90077i q^{59} +(-6.08778 + 5.72628i) q^{60} +11.4115i q^{61} +(-6.34161 - 1.25546i) q^{62} +(-3.45949 - 7.14366i) q^{63} +(3.10157 + 7.37430i) q^{64} -3.48555 q^{65} +(0.0984139 + 0.216495i) q^{66} -9.88840i q^{67} +(-11.5145 + 8.86855i) q^{68} +(-4.30519 - 1.94897i) q^{69} +(-4.04852 + 8.06863i) q^{70} -0.788945 q^{71} +(7.85026 + 3.22077i) q^{72} +(-6.26317 + 10.8481i) q^{73} +(-0.327458 + 0.111488i) q^{74} +(1.15553 - 0.828612i) q^{75} +(-14.7298 + 1.96635i) q^{76} +(0.180209 + 0.183047i) q^{77} +(1.46443 + 3.22152i) q^{78} -0.665586 q^{79} +(-2.53152 - 9.31271i) q^{80} +(8.31043 - 3.45496i) q^{81} +(-4.38678 - 12.8847i) q^{82} +(-14.2300 - 8.21571i) q^{83} +(9.15839 + 0.351858i) q^{84} +(15.1838 - 8.76636i) q^{85} +(1.71735 + 1.50333i) q^{86} +(2.79263 - 6.16879i) q^{87} +(-0.274064 - 0.0172156i) q^{88} +(2.07118 + 3.58739i) q^{89} +(-8.87264 - 5.10424i) q^{90} +(2.68157 + 2.72379i) q^{91} +(4.32321 - 3.32977i) q^{92} +(-0.778621 - 7.87922i) q^{93} +(8.44923 + 1.67271i) q^{94} +17.9266 q^{95} +(-7.54368 + 6.25243i) q^{96} +(7.01603 - 12.1521i) q^{97} +(9.41994 - 3.04379i) q^{98} +(-0.218857 + 0.192184i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 184 q - 2 q^{2} - 2 q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9}+O(q^{10}) $ 184 * q - 2 * q^2 - 2 * q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9	$ 184 q - 2 q^{2} - 2 q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9} + 2 q^{10} + 16 q^{12} - 4 q^{14} - 2 q^{15} - 2 q^{16} - 4 q^{17} - 14 q^{18} + 6 q^{20} + 2 q^{22} + 2 q^{23} + 12 q^{24} + 78 q^{25} - 4 q^{26} - 8 q^{28} - 9 q^{30} - 4 q^{31} - 2 q^{32} - 14 q^{33} - 18 q^{36} - 5 q^{38} + 4 q^{39} - 4 q^{40} - 4 q^{41} - 12 q^{42} + 17 q^{44} - 6 q^{46} - 84 q^{47} - 3 q^{48} - 2 q^{49} - 31 q^{50} + 9 q^{52} - q^{54} + 4 q^{55} - 16 q^{56} - 20 q^{57} + 5 q^{58} + 17 q^{60} + 32 q^{62} + 8 q^{63} - 8 q^{64} - 44 q^{65} - 56 q^{66} - 12 q^{68} + 5 q^{70} - 16 q^{71} + 36 q^{72} - 4 q^{73} + 19 q^{74} - 6 q^{76} - 47 q^{78} - 4 q^{79} - 11 q^{80} - 18 q^{81} - 65 q^{84} - 23 q^{86} - 14 q^{87} - 7 q^{88} + 4 q^{89} - 35 q^{90} - 48 q^{92} - 18 q^{94} - 44 q^{95} + 95 q^{96} - 4 q^{97} - 83 q^{98}+O(q^{100}) $ 184 * q - 2 * q^2 - 2 * q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9 + 2 * q^10 + 16 * q^12 - 4 * q^14 - 2 * q^15 - 2 * q^16 - 4 * q^17 - 14 * q^18 + 6 * q^20 + 2 * q^22 + 2 * q^23 + 12 * q^24 + 78 * q^25 - 4 * q^26 - 8 * q^28 - 9 * q^30 - 4 * q^31 - 2 * q^32 - 14 * q^33 - 18 * q^36 - 5 * q^38 + 4 * q^39 - 4 * q^40 - 4 * q^41 - 12 * q^42 + 17 * q^44 - 6 * q^46 - 84 * q^47 - 3 * q^48 - 2 * q^49 - 31 * q^50 + 9 * q^52 - q^54 + 4 * q^55 - 16 * q^56 - 20 * q^57 + 5 * q^58 + 17 * q^60 + 32 * q^62 + 8 * q^63 - 8 * q^64 - 44 * q^65 - 56 * q^66 - 12 * q^68 + 5 * q^70 - 16 * q^71 + 36 * q^72 - 4 * q^73 + 19 * q^74 - 6 * q^76 - 47 * q^78 - 4 * q^79 - 11 * q^80 - 18 * q^81 - 65 * q^84 - 23 * q^86 - 14 * q^87 - 7 * q^88 + 4 * q^89 - 35 * q^90 - 48 * q^92 - 18 * q^94 - 44 * q^95 + 95 * q^96 - 4 * q^97 - 83 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/504\mathbb{Z}\right)^\times$.

$n$	$73$	$127$	$253$	$281$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$1$	$-1$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−1.38729	−	0.274643i	−0.980962	−	0.194202i
$2$	−1.38729	−	0.274643i	−0.980962	−	0.194202i
$3$	−0.170331	−	1.72366i	−0.0983405	−	0.995153i
$3$	−0.170331	−	1.72366i	−0.0983405	−	0.995153i
$4$	1.84914	+	0.762020i	0.924571	+	0.381010i
$5$	−2.08943	−	1.20633i	−0.934421	−	0.539488i	−0.0462136	−	0.998932i	$-0.514716\pi$
$5$	−2.08943	−	1.20633i	−0.934421	−	0.539488i	−0.888207	+	0.459444i	$0.848049\pi$
$6$	−0.237093	+	2.43799i	−0.0967926	+	0.995305i
$7$	0.664788	+	2.56087i	0.251266	+	0.967918i
$7$	0.664788	+	2.56087i	0.251266	+	0.967918i
$8$	−2.35601	−	1.56500i	−0.832976	−	0.553310i
$9$	−2.94197	+	0.587183i	−0.980658	+	0.195728i
$10$	2.56733	+	2.24738i	0.811861	+	0.710684i
$11$	0.0840799	−	0.0485436i	0.0253511	−	0.0146364i	−0.487271	−	0.873251i	$-0.662008\pi$
$11$	0.0840799	−	0.0485436i	0.0253511	−	0.0146364i	0.512622	+	0.858614i	$0.328674\pi$
$12$	0.998494	−	3.31708i	0.288240	−	0.957558i
$13$	1.25114	−	0.722344i	0.347003	−	0.200342i	−0.316362	−	0.948639i	$-0.602461\pi$
$13$	1.25114	−	0.722344i	0.347003	−	0.200342i	0.663364	+	0.748296i	$0.269128\pi$
$14$	−0.218927	−	3.73525i	−0.0585107	−	0.998287i
$15$	−1.72341	+	3.80693i	−0.444982	+	0.982945i
$16$	2.83865	+	2.81817i	0.709663	+	0.704541i
$17$	−3.63348	+	6.29337i	−0.881248	+	1.52637i	−0.0312928	+	0.999510i	$0.509962\pi$
$17$	−3.63348	+	6.29337i	−0.881248	+	1.52637i	−0.849955	+	0.526855i	$0.823371\pi$
$18$	4.24264	−	0.00659859i	0.999999	−	0.00155530i
$19$	−6.43476	+	3.71511i	−1.47623	+	0.852304i	−0.999640	−	0.0268188i	$-0.991462\pi$
$19$	−6.43476	+	3.71511i	−1.47623	+	0.852304i	−0.476594	+	0.879123i	$0.658129\pi$
$20$	−2.94440	−	3.82286i	−0.658388	−	0.854818i
$21$	4.30082	−	1.58206i	0.938517	−	0.345234i
$22$	−0.129975	+	0.0442520i	−0.0277108	+	0.00943455i
$23$	1.36422	−	2.36290i	0.284460	−	0.492698i	−0.688018	−	0.725693i	$-0.741519\pi$
$23$	1.36422	−	2.36290i	0.284460	−	0.492698i	0.972478	+	0.232995i	$0.0748525\pi$
$24$	−2.29621	+	4.32752i	−0.468713	+	0.883351i
$25$	0.410473	+	0.710960i	0.0820946	+	0.142192i
$26$	−1.93408	+	0.658484i	−0.379303	+	0.129139i
$27$	1.51321	+	4.97094i	0.291217	+	0.956657i
$28$	−0.722146	+	5.24199i	−0.136473	+	0.990644i
$29$	3.38573	+	1.95475i	0.628715	+	0.362988i	0.780254	−	0.625463i	$-0.215090\pi$
$29$	3.38573	+	1.95475i	0.628715	+	0.362988i	−0.151540	+	0.988451i	$0.548423\pi$
$30$	3.43641	−	4.80799i	0.627400	−	0.877815i
$31$	4.57123			0.821017			0.410508	−	0.911857i	$-0.365351\pi$
$31$	4.57123			0.821017			0.410508	+	0.911857i	$0.365351\pi$
$32$	−3.16404	−	4.68923i	−0.559329	−	0.828946i
$33$	−0.0979938	−	0.136656i	−0.0170585	−	0.0237888i
$34$	6.76912	−	7.73281i	1.16089	−	1.32617i
$35$	1.70023	−	6.15271i	0.287392	−	1.04000i
$36$	−5.88757	−	1.15606i	−0.981262	−	0.192676i
$37$	0.211830	−	0.122300i	0.0348246	−	0.0201060i	−0.482487	−	0.875903i	$-0.660266\pi$
$37$	0.211830	−	0.122300i	0.0348246	−	0.0201060i	0.517311	+	0.855797i	$0.326933\pi$
$38$	9.94720	−	3.38667i	1.61365	−	0.549390i
$39$	−1.45818	−	2.03349i	−0.233496	−	0.325619i
$40$	3.03481	+	6.11208i	0.479846	+	0.966404i
$41$	4.81222	+	8.33501i	0.751542	+	1.30171i	0.947075	+	0.321012i	$0.104023\pi$
$41$	4.81222	+	8.33501i	0.751542	+	1.30171i	−0.195533	+	0.980697i	$0.562644\pi$
$42$	−6.40099	+	1.01358i	−0.987694	+	0.156399i
$43$	−1.39767	−	0.806947i	−0.213143	−	0.123058i	0.389628	−	0.920972i	$-0.372604\pi$
$43$	−1.39767	−	0.806947i	−0.213143	−	0.123058i	−0.602771	+	0.797914i	$0.705937\pi$
$44$	0.192467	−	0.0256934i	0.0290155	−	0.00387342i
$45$	6.85538	+	2.32212i	1.02194	+	0.346161i
$46$	−2.54152	+	2.90335i	−0.374727	+	0.428075i
$47$	−6.09046			−0.888385			−0.444193	−	0.895931i	$-0.646509\pi$
$47$	−6.09046			−0.888385			−0.444193	+	0.895931i	$0.646509\pi$
$48$	4.37404	−	5.37288i	0.631338	−	0.775508i
$49$	−6.11611	+	3.40487i	−0.873731	+	0.486410i
$50$	−0.374184	−	1.09904i	−0.0529176	−	0.155428i
$51$	11.4665	+	5.19091i	1.60563	+	0.726872i
$52$	2.86397	−	0.382326i	0.397161	−	0.0530191i
$53$	6.46647	+	3.73342i	0.888238	+	0.512824i	0.873366	−	0.487065i	$-0.161933\pi$
$53$	6.46647	+	3.73342i	0.888238	+	0.512824i	0.0148722	+	0.999889i	$0.495266\pi$
$54$	−0.734025	−	7.31172i	−0.0998882	−	0.994999i
$55$	−0.234239			−0.0315847
$56$	2.44151	−	7.07383i	0.326260	−	0.945280i
$57$	7.49960	+	10.4585i	0.993347	+	1.38526i
$58$	−4.16013	−	3.64168i	−0.546252	−	0.478176i
$59$			2.90077i			0.377649i	0.982011	+	0.188824i	$0.0604676\pi$
$59$			2.90077i			0.377649i	−0.982011	+	0.188824i	$0.939532\pi$
$60$	−6.08778	+	5.72628i	−0.785929	+	0.739260i
$61$			11.4115i			1.46109i	0.682864	+	0.730546i	$0.260734\pi$
$61$			11.4115i			1.46109i	−0.682864	+	0.730546i	$0.739266\pi$
$62$	−6.34161	−	1.25546i	−0.805386	−	0.159443i
$63$	−3.45949	−	7.14366i	−0.435855	−	0.900017i
$64$	3.10157	+	7.37430i	0.387697	+	0.921787i
$65$	−3.48555			−0.432329
$66$	0.0984139	+	0.216495i	0.0121139	+	0.0266487i
$67$		−	9.88840i		−	1.20806i	−0.796962	−	0.604030i	$-0.793561\pi$
$67$		−	9.88840i		−	1.20806i	0.796962	−	0.604030i	$-0.206439\pi$
$68$	−11.5145	+	8.86855i	−1.39634	+	1.07547i
$69$	−4.30519	−	1.94897i	−0.518284	−	0.234628i
$70$	−4.04852	+	8.06863i	−0.483890	+	0.964386i
$71$	−0.788945			−0.0936306			−0.0468153	−	0.998904i	$-0.514907\pi$
$71$	−0.788945			−0.0936306			−0.0468153	+	0.998904i	$0.514907\pi$
$72$	7.85026	+	3.22077i	0.925162	+	0.379571i
$73$	−6.26317	+	10.8481i	−0.733049	+	1.26968i	0.222525	+	0.974927i	$0.428570\pi$
$73$	−6.26317	+	10.8481i	−0.733049	+	1.26968i	−0.955574	+	0.294751i	$0.904763\pi$
$74$	−0.327458	+	0.111488i	−0.0380662	+	0.0129602i
$75$	1.15553	−	0.828612i	0.133429	−	0.0956799i
$76$	−14.7298	+	1.96635i	−1.68962	+	0.225556i
$77$	0.180209	+	0.183047i	0.0205367	+	0.0208601i
$78$	1.46443	+	3.22152i	0.165814	+	0.364765i
$79$	−0.665586			−0.0748842			−0.0374421	−	0.999299i	$-0.511921\pi$
$79$	−0.665586			−0.0748842			−0.0374421	+	0.999299i	$0.511921\pi$
$80$	−2.53152	−	9.31271i	−0.283032	−	1.04119i
$81$	8.31043	−	3.45496i	0.923381	−	0.383884i
$82$	−4.38678	−	12.8847i	−0.484439	−	1.42288i
$83$	−14.2300	−	8.21571i	−1.56195	−	0.901792i	−0.997060	−	0.0766248i	$-0.975586\pi$
$83$	−14.2300	−	8.21571i	−1.56195	−	0.901792i	−0.564889	−	0.825167i	$-0.691081\pi$
$84$	9.15839	+	0.351858i	0.999263	+	0.0383909i
$85$	15.1838	−	8.76636i	1.64691	−	0.950845i
$86$	1.71735	+	1.50333i	0.185187	+	0.162108i
$87$	2.79263	−	6.16879i	0.299401	−	0.661364i
$88$	−0.274064	−	0.0172156i	−0.0292153	−	0.00183519i
$89$	2.07118	+	3.58739i	0.219545	+	0.380263i	0.954669	−	0.297670i	$-0.0962094\pi$
$89$	2.07118	+	3.58739i	0.219545	+	0.380263i	−0.735124	+	0.677933i	$0.762876\pi$
$90$	−8.87264	−	5.10424i	−0.935259	−	0.538034i
$91$	2.68157	+	2.72379i	0.281105	+	0.285531i
$92$	4.32321	−	3.32977i	0.450726	−	0.347153i
$93$	−0.778621	−	7.87922i	−0.0807392	−	0.817037i
$94$	8.44923	+	1.67271i	0.871472	+	0.172526i
$95$	17.9266			1.83923
$96$	−7.54368	+	6.25243i	−0.769923	+	0.638136i
$97$	7.01603	−	12.1521i	0.712370	−	1.23386i	−0.251596	−	0.967832i	$-0.580955\pi$
$97$	7.01603	−	12.1521i	0.712370	−	1.23386i	0.963965	−	0.266028i	$-0.0857114\pi$
$98$	9.41994	−	3.04379i	0.951558	−	0.307469i
$99$	−0.218857	+	0.192184i	−0.0219960	+	0.0193152i
$100$	0.217257	+	1.62745i	0.0217257	+	0.162745i
$101$	−13.5990	+	7.85140i	−1.35315	+	0.781244i	−0.988690	−	0.149974i	$-0.952081\pi$
$101$	−13.5990	+	7.85140i	−1.35315	+	0.781244i	−0.364464	+	0.931218i	$0.618748\pi$
$102$	−14.4817	−	10.3505i	−1.43390	−	1.02485i
$103$	2.99232	−	5.18284i	0.294842	−	0.510681i	−0.680106	−	0.733113i	$-0.738066\pi$
$103$	2.99232	−	5.18284i	0.294842	−	0.510681i	0.974948	+	0.222433i	$0.0713997\pi$
$104$	−4.07816	−	0.256174i	−0.399896	−	0.0251199i
$105$	−10.8948	−	1.88262i	−1.06322	−	0.183725i
$106$	−7.94550	−	6.95530i	−0.771735	−	0.675559i
$107$	−6.72330	+	3.88170i	−0.649966	+	0.375258i	−0.788443	−	0.615108i	$-0.789113\pi$
$107$	−6.72330	+	3.88170i	−0.649966	+	0.375258i	0.138477	+	0.990366i	$0.455779\pi$
$108$	−0.989810	+	10.3451i	−0.0952445	+	0.995454i
$109$	−10.6179	−	6.13025i	−1.01701	−	0.587171i	−0.103774	−	0.994601i	$-0.533092\pi$
$109$	−10.6179	−	6.13025i	−1.01701	−	0.587171i	−0.913237	+	0.407430i	$0.866425\pi$
$110$	0.324957	+	0.0643321i	0.0309834	+	0.00613383i
$111$	−0.246884	−	0.344290i	−0.0234332	−	0.0326785i
$112$	−5.32985	+	9.14290i	−0.503624	+	0.863923i
$113$	−2.07814	−	3.59944i	−0.195495	−	0.338607i	0.751568	−	0.659656i	$-0.229298\pi$
$113$	−2.07814	−	3.59944i	−0.195495	−	0.338607i	−0.947063	+	0.321049i	$0.895965\pi$
$114$	−7.53176	−	16.5687i	−0.705414	−	1.55180i
$115$	−5.70088	+	3.29140i	−0.531610	+	0.306925i
$116$	4.77114	+	6.19461i	0.442989	+	0.575155i
$117$	−3.25667	+	2.85977i	−0.301079	+	0.264385i
$118$	0.796678	−	4.02421i	0.0733402	−	0.370459i
$119$	−18.5320	−	5.12111i	−1.69882	−	0.469451i
$120$	10.0182	−	6.27204i	0.914532	−	0.572556i
$121$	−5.49529	+	9.51812i	−0.499572	+	0.865283i
$122$	3.13409	−	15.8310i	0.283747	−	1.43327i
$123$	13.5470	−	9.71432i	1.22149	−	0.875910i
$124$	8.45285	+	3.48337i	0.759088	+	0.312815i
$125$			10.0827i			0.901820i
$126$	2.83735	+	10.8605i	0.252771	+	0.967526i
$127$	1.21129			0.107485			0.0537423	−	0.998555i	$-0.482885\pi$
$127$	1.21129			0.107485			0.0537423	+	0.998555i	$0.482885\pi$
$128$	−2.27748	−	11.0821i	−0.201302	−	0.979529i
$129$	−1.15283	+	2.54655i	−0.101501	+	0.224212i
$130$	4.83546	+	0.957283i	0.424098	+	0.0839593i
$131$	−2.57462	−	1.48646i	−0.224946	−	0.129872i	0.383293	−	0.923627i	$-0.374790\pi$
$131$	−2.57462	−	1.48646i	−0.224946	−	0.129872i	−0.608238	+	0.793755i	$0.708123\pi$
$132$	−0.0770696	−	0.327370i	−0.00670805	−	0.0284939i
$133$	−13.7917	−	14.0088i	−1.19589	−	1.21472i
$134$	−2.71578	+	13.7181i	−0.234608	+	1.18506i
$135$	2.83485	−	12.2118i	0.243985	−	1.05103i
$136$	18.4096	−	9.14086i	1.57861	−	0.783822i
$137$	−2.23428	−	3.86988i	−0.190887	−	0.330626i	0.754657	−	0.656119i	$-0.227803\pi$
$137$	−2.23428	−	3.86988i	−0.190887	−	0.330626i	−0.945545	+	0.325493i	$0.894470\pi$
$138$	5.43727	+	3.88618i	0.462851	+	0.330813i
$139$	1.26908	−	0.732703i	0.107642	−	0.0621471i	−0.445213	−	0.895425i	$-0.646872\pi$
$139$	1.26908	−	0.732703i	0.107642	−	0.0621471i	0.552854	+	0.833278i	$0.313539\pi$
$140$	7.83246	−	10.0816i	0.661963	−	0.852053i
$141$	1.03739	+	10.4979i	0.0873643	+	0.884079i
$142$	1.09450	+	0.216679i	0.0918480	+	0.0181833i
$143$	0.0701303	−	0.121469i	0.00586459	−	0.0101578i
$144$	−10.0060	−	6.62416i	−0.833835	−	0.552014i
$145$	−4.71616	−	8.16863i	−0.391656	−	0.678368i
$146$	11.6682	−	13.3294i	0.965667	−	1.10315i
$147$	6.91059	+	9.96212i	0.569976	+	0.821662i
$148$	0.484898	−	0.0647315i	0.0398584	−	0.00532089i
$149$	−8.64683	−	4.99225i	−0.708376	−	0.408981i	0.102084	−	0.994776i	$-0.467449\pi$
$149$	−8.64683	−	4.99225i	−0.708376	−	0.408981i	−0.810459	+	0.585795i	$0.800782\pi$
$150$	−1.83063	+	0.832165i	−0.149470	+	0.0679460i
$151$	−2.47837	−	4.29267i	−0.201687	−	0.349332i	0.747385	−	0.664391i	$-0.231309\pi$
$151$	−2.47837	−	4.29267i	−0.201687	−	0.349332i	−0.949072	+	0.315059i	$0.897976\pi$
$152$	20.9745	+	1.31754i	1.70126	+	0.106866i
$153$	6.99424	−	20.6484i	0.565451	−	1.66933i
$154$	−0.199730	−	0.303432i	−0.0160947	−	0.0244512i
$155$	−9.55125	−	5.51442i	−0.767175	−	0.442929i
$156$	−1.14682	−	4.87138i	−0.0918191	−	0.390022i
$157$		−	8.35003i		−	0.666405i	−0.942855	−	0.333202i	$-0.891871\pi$
$157$		−	8.35003i		−	0.666405i	0.942855	−	0.333202i	$-0.108129\pi$
$158$	0.923360	+	0.182799i	0.0734586	+	0.0145427i
$159$	5.33369	−	11.7819i	0.422989	−	0.934364i
$160$	0.954270	+	13.6147i	0.0754416	+	1.07634i
$161$	6.95799	+	1.92276i	0.548367	+	0.151535i
$162$	−12.4779	+	2.51062i	−0.980353	+	0.197253i
$163$	−15.4078	+	8.89568i	−1.20683	+	0.696764i	−0.962065	−	0.272819i	$-0.912044\pi$
$163$	−15.4078	+	8.89568i	−1.20683	+	0.696764i	−0.244765	+	0.969583i	$0.578711\pi$
$164$	2.54704	+	19.0796i	0.198890	+	1.48987i
$165$	0.0398980	+	0.403747i	0.00310606	+	0.0314316i
$166$	17.4848	+	15.3058i	1.35708	+	1.18796i
$167$	−6.88504	−	11.9252i	−0.532781	−	0.922803i	−0.999267	−	0.0382749i	$-0.987814\pi$
$167$	−6.88504	−	11.9252i	−0.532781	−	0.922803i	0.466487	−	0.884528i	$-0.345520\pi$
$168$	−12.6087	−	3.00342i	−0.972783	−	0.231719i
$169$	−5.45644	+	9.45083i	−0.419726	+	0.726987i
$170$	−23.4719	+	7.99135i	−1.80021	+	0.612908i
$171$	16.7494	−	14.7081i	1.28086	−	1.12476i
$172$	−1.96959	−	2.55721i	−0.150180	−	0.194986i
$173$			17.4927i			1.32995i	0.746867	+	0.664973i	$0.231557\pi$
$173$			17.4927i			1.32995i	−0.746867	+	0.664973i	$0.768443\pi$
$174$	−5.56840	+	7.79092i	−0.422139	+	0.590628i
$175$	−1.54780	+	1.52381i	−0.117003	+	0.115189i
$176$	0.375477	+	0.0991529i	0.0283027	+	0.00747393i
$177$	4.99993	−	0.494091i	0.375818	−	0.0371382i
$178$	−1.88807	−	5.54559i	−0.141517	−	0.415659i
$179$	7.46520	+	4.31004i	0.557975	+	0.322147i	0.752333	−	0.658784i	$-0.228929\pi$
$179$	7.46520	+	4.31004i	0.557975	+	0.322147i	−0.194357	+	0.980931i	$0.562262\pi$
$180$	10.9071	+	9.51787i	0.812965	+	0.709420i
$181$		−	18.7583i		−	1.39429i	−0.716929	−	0.697146i	$-0.754453\pi$
$181$		−	18.7583i		−	1.39429i	0.716929	−	0.697146i	$-0.245547\pi$
$182$	−2.97204	−	4.51517i	−0.220302	−	0.334686i
$183$	19.6695	−	1.94373i	1.45401	−	0.143685i
$184$	−6.91204	+	3.43201i	−0.509563	+	0.253011i
$185$	−0.590137			−0.0433877
$186$	−1.08380	+	11.1446i	−0.0794684	+	0.817162i
$187$			0.705528i			0.0515933i
$188$	−11.2621	−	4.64105i	−0.821375	−	0.338484i
$189$	−11.7240	+	7.17975i	−0.852792	+	0.522250i
$190$	−24.8694	−	4.92343i	−1.80422	−	0.357183i
$191$	22.9743			1.66236			0.831180	−	0.556004i	$-0.187666\pi$
$191$	22.9743			1.66236			0.831180	+	0.556004i	$0.187666\pi$
$192$	12.1825	−	6.60211i	0.879193	−	0.476466i
$193$	6.87871			0.495141			0.247570	−	0.968870i	$-0.420368\pi$
$193$	6.87871			0.495141			0.247570	+	0.968870i	$0.420368\pi$
$194$	−13.0708	+	14.9316i	−0.938426	+	1.07203i
$195$	0.593696	+	6.00788i	0.0425155	+	0.430233i
$196$	−13.9041	+	1.63549i	−0.993153	+	0.116821i
$197$		−	5.98618i		−	0.426497i	−0.976998	−	0.213249i	$-0.931596\pi$
$197$		−	5.98618i		−	0.426497i	0.976998	−	0.213249i	$-0.0684045\pi$
$198$	0.356400	−	0.206507i	0.0253283	−	0.0146758i
$199$	−10.1329	+	17.5507i	−0.718301	+	1.24413i	0.243371	+	0.969933i	$0.421747\pi$
$199$	−10.1329	+	17.5507i	−0.718301	+	1.24413i	−0.961672	+	0.274201i	$0.911587\pi$
$200$	0.145571	−	2.31742i	0.0102934	−	0.163866i
$201$	−17.0442	+	1.68430i	−1.20220	+	0.118801i
$202$	21.0221	−	7.15728i	1.47911	−	0.503585i
$203$	−2.75507	+	9.96992i	−0.193368	+	0.699751i
$204$	17.2476	+	18.3364i	1.20757	+	1.28381i
$205$		−	23.2205i		−	1.62179i
$206$	−5.57464	+	6.36828i	−0.388404	+	0.443699i
$207$	−2.62605	+	7.75263i	−0.182523	+	0.538845i
$208$	5.58723	+	1.47543i	0.387405	+	0.102302i
$209$	−0.360689	+	0.624732i	−0.0249494	+	0.0432136i
$210$	14.5971	+	5.60391i	1.00730	+	0.386706i
$211$	−16.8199	+	9.71097i	−1.15793	+	0.668531i	−0.950807	−	0.309784i	$-0.899743\pi$
$211$	−16.8199	+	9.71097i	−1.15793	+	0.668531i	−0.207123	+	0.978315i	$0.566410\pi$
$212$	9.11248	+	11.8312i	0.625848	+	0.812570i
$213$	0.134382	+	1.35987i	0.00920768	+	0.0931767i
$214$	10.3932	−	3.53853i	0.710468	−	0.241889i
$215$	1.94689	+	3.37211i	0.132777	+	0.229976i
$216$	4.21436	−	14.0797i	0.286751	−	0.958005i
$217$	3.03890	+	11.7063i	0.206294	+	0.794677i
$218$	13.0465	+	11.4206i	0.883618	+	0.773498i
$219$	19.7653	+	8.94778i	1.33561	+	0.604635i
$220$	−0.433140	−	0.178494i	−0.0292023	−	0.0120341i
$221$			10.4985i			0.706205i
$222$	0.247942	+	0.545434i	0.0166408	+	0.0366072i
$223$	6.70040	−	11.6054i	0.448692	−	0.777158i	−0.549609	−	0.835422i	$-0.685223\pi$
$223$	6.70040	−	11.6054i	0.448692	−	0.777158i	0.998301	+	0.0582643i	$0.0185566\pi$
$224$	9.90509	−	11.2200i	0.661811	−	0.749670i
$225$	−1.62506	−	1.85060i	−0.108338	−	0.123374i
$226$	1.89441	+	5.56421i	0.126015	+	0.370126i
$227$	−2.91336	+	1.68203i	−0.193366	+	0.111640i	−0.593558	−	0.804792i	$-0.702277\pi$
$227$	−2.91336	+	1.68203i	−0.193366	+	0.111640i	0.400191	+	0.916432i	$0.368944\pi$
$228$	5.89825	+	25.0541i	0.390621	+	1.65925i
$229$	12.3910	+	7.15394i	0.818820	+	0.472746i	0.850009	−	0.526768i	$-0.176596\pi$
$229$	12.3910	+	7.15394i	0.818820	+	0.472746i	−0.0311897	+	0.999513i	$0.509930\pi$
$230$	8.81273	−	3.00042i	0.581094	−	0.197842i
$231$	0.284814	−	0.341797i	0.0187394	−	0.0224886i
$232$	−4.91764	−	9.90408i	−0.322859	−	0.650234i
$233$	6.55928	+	11.3610i	0.429712	+	0.744284i	0.996848	−	0.0793410i	$-0.0252816\pi$
$233$	6.55928	+	11.3610i	0.429712	+	0.744284i	−0.567135	+	0.823625i	$0.691948\pi$
$234$	5.30335	−	3.07290i	0.346691	−	0.200882i
$235$	12.7256	+	7.34712i	0.830126	+	0.479273i
$236$	−2.21045	+	5.36394i	−0.143888	+	0.349163i
$237$	0.113370	+	1.14724i	0.00736416	+	0.0745213i
$238$	24.3027	+	12.1941i	1.57531	+	0.790429i
$239$	4.87996	+	8.45235i	0.315659	+	0.546737i	0.979577	−	0.201068i	$-0.0644412\pi$
$239$	4.87996	+	8.45235i	0.315659	+	0.546737i	−0.663919	+	0.747805i	$0.731108\pi$
$240$	−15.6207	+	5.94970i	−1.00831	+	0.384052i
$241$	7.88806	+	13.6625i	0.508114	+	0.880080i	0.999956	+	0.00939523i	$0.00299064\pi$
$241$	7.88806	+	13.6625i	0.508114	+	0.880080i	−0.491841	+	0.870685i	$0.663676\pi$
$242$	10.2376	−	11.6951i	0.658100	−	0.751792i
$243$	−7.37068	−	13.7358i	−0.472829	−	0.881154i
$244$	−8.69578	+	21.1015i	−0.556690	+	1.35088i
$245$	16.8866	+	0.263827i	1.07884	+	0.0168553i
$246$	−21.4616	+	9.75597i	−1.36834	+	0.622018i
$247$	−5.36718	+	9.29622i	−0.341505	+	0.591504i
$248$	−10.7699	−	7.15395i	−0.683887	−	0.454277i
$249$	−11.7372	+	25.9271i	−0.743818	+	1.64306i
$250$	2.76913	−	13.9876i	0.175135	−	0.884651i
$251$			4.87338i			0.307605i	0.988102	+	0.153802i	$0.0491519\pi$
$251$			4.87338i			0.307605i	−0.988102	+	0.153802i	$0.950848\pi$
$252$	−0.953475	−	15.8458i	−0.0600633	−	0.998195i
$253$		−	0.264896i		−	0.0166539i
$254$	−1.68041	−	0.332673i	−0.105438	−	0.0208737i
$255$	−17.6964	−	24.6784i	−1.10819	−	1.54542i
$256$	0.115888	+	15.9996i	0.00724301	+	0.999974i
$257$	10.7286	−	18.5825i	0.669233	−	1.15915i	−0.308886	−	0.951099i	$-0.599956\pi$
$257$	10.7286	−	18.5825i	0.669233	−	1.15915i	0.978119	−	0.208047i	$-0.0667106\pi$
$258$	2.29871	−	3.21619i	0.143111	−	0.200231i
$259$	0.454016	+	0.461164i	0.0282112	+	0.0286554i
$260$	−6.44527	−	2.65606i	−0.399719	−	0.164722i
$261$	−11.1085	−	3.76279i	−0.687601	−	0.232911i
$262$	3.16350	+	2.76925i	0.195441	+	0.171085i
$263$	5.44384	+	9.42900i	0.335681	+	0.581417i	0.983615	−	0.180279i	$-0.0577001\pi$
$263$	5.44384	+	9.42900i	0.335681	+	0.581417i	−0.647934	+	0.761696i	$0.724367\pi$
$264$	0.0170077	+	0.475324i	0.00104675	+	0.0292542i
$265$	−9.00748	−	15.6014i	−0.553325	−	0.958387i
$266$	15.2856	+	23.2221i	0.937220	+	1.42384i
$267$	5.83064	−	4.18105i	0.356829	−	0.255876i
$268$	7.53515	−	18.2851i	0.460283	−	1.11694i
$269$	17.6412	+	10.1852i	1.07560	+	0.621000i	0.929707	−	0.368300i	$-0.120060\pi$
$269$	17.6412	+	10.1852i	1.07560	+	0.621000i	0.145897	+	0.989300i	$0.453393\pi$
$270$	−7.28666	+	16.1628i	−0.443452	+	0.983636i
$271$	−9.96382	−	17.2579i	−0.605259	−	1.04834i	−0.992010	−	0.126156i	$-0.959736\pi$
$271$	−9.96382	−	17.2579i	−0.605259	−	1.04834i	0.386751	−	0.922184i	$-0.373597\pi$
$272$	−28.0499	+	7.62494i	−1.70078	+	0.462330i
$273$	4.23813	−	5.08605i	0.256503	−	0.307822i
$274$	2.03675	+	5.98227i	0.123045	+	0.361402i
$275$	0.0690250	+	0.0398516i	0.00416237	+	0.00240314i
$276$	−6.47575	−	6.88456i	−0.389795	−	0.414402i
$277$	3.47098	−	2.00397i	0.208551	−	0.120407i	−0.392087	−	0.919928i	$-0.628247\pi$
$277$	3.47098	−	2.00397i	0.208551	−	0.120407i	0.600638	+	0.799521i	$0.294913\pi$
$278$	−1.96181	+	0.667927i	−0.117662	+	0.0400596i
$279$	−13.4484	+	2.68415i	−0.805137	+	0.160696i
$280$	−13.6347	+	11.8350i	−0.814831	+	0.707276i
$281$	1.62854	−	2.82071i	0.0971505	−	0.168270i	−0.813354	−	0.581770i	$-0.802361\pi$
$281$	1.62854	−	2.82071i	0.0971505	−	0.168270i	0.910504	+	0.413500i	$0.135694\pi$
$282$	1.44400	−	14.8485i	0.0859892	−	0.884214i
$283$		−	4.08398i		−	0.242767i	−0.992606	−	0.121384i	$-0.961267\pi$
$283$		−	4.08398i		−	0.242767i	0.992606	−	0.121384i	$-0.0387332\pi$
$284$	−1.45887	−	0.601192i	−0.0865681	−	0.0356742i
$285$	−3.05345	−	30.8993i	−0.180871	−	1.83032i
$286$	−0.130652	+	0.149252i	−0.00772560	+	0.00882547i
$287$	−18.1458	+	17.8645i	−1.07111	+	1.05451i
$288$	12.0620	+	11.9377i	0.710758	+	0.703437i
$289$	−17.9043	−	31.0112i	−1.05319	−	1.82419i
$290$	4.29922	+	12.6275i	0.252459	+	0.741513i
$291$	−22.1411	−	10.0233i	−1.29793	−	0.587578i
$292$	−19.8480	+	15.2871i	−1.16152	+	0.894609i
$293$	−9.40985	+	5.43278i	−0.549730	+	0.317386i	−0.749013	−	0.662555i	$-0.769472\pi$
$293$	−9.40985	+	5.43278i	−0.549730	+	0.317386i	0.199283	+	0.979942i	$0.436139\pi$
$294$	−6.85095	−	15.7183i	−0.399556	−	0.916709i
$295$	3.49929	−	6.06096i	0.203737	−	0.352883i
$296$	−0.690471	−	0.0433727i	−0.0401328	−	0.00252099i
$297$	0.368538	+	0.344499i	0.0213847	+	0.0199899i
$298$	10.6246	+	9.30048i	0.615464	+	0.538763i
$299$		−	3.94175i		−	0.227957i
$300$	2.76816	−	0.651682i	0.159820	−	0.0376249i
$301$	1.13733	−	4.11571i	0.0655546	−	0.237225i
$302$	2.25927	+	6.63584i	0.130006	+	0.381850i
$303$	15.8494	+	22.1027i	0.910527	+	1.26977i
$304$	−28.7358	−	7.58831i	−1.64811	−	0.435219i
$305$	13.7660	−	23.8435i	0.788241	−	1.36527i
$306$	−15.3740	+	26.7244i	−0.878873	+	1.52773i
$307$		−	2.36318i		−	0.134874i	−0.997724	−	0.0674370i	$-0.978518\pi$
$307$		−	2.36318i		−	0.134874i	0.997724	−	0.0674370i	$-0.0214822\pi$
$308$	0.193747	+	0.475802i	0.0110398	+	0.0271113i
$309$	−9.44312	−	4.27492i	−0.537200	−	0.243192i
$310$	11.7358	+	10.2733i	0.666551	+	0.583483i
$311$	−7.58537			−0.430127			−0.215063	−	0.976600i	$-0.568996\pi$
$311$	−7.58537			−0.430127			−0.215063	+	0.976600i	$0.568996\pi$
$312$	0.253080	+	7.07297i	0.0143278	+	0.400428i
$313$	19.5087			1.10270			0.551348	−	0.834275i	$-0.314114\pi$
$313$	19.5087			1.10270			0.551348	+	0.834275i	$0.314114\pi$
$314$	−2.29328	+	11.5839i	−0.129417	+	0.653718i
$315$	−1.38927	+	19.0995i	−0.0782767	+	1.07613i
$316$	−1.23076	−	0.507189i	−0.0692358	−	0.0285316i
$317$			29.1518i			1.63733i	0.574275	+	0.818663i	$0.305284\pi$
$317$			29.1518i			1.63733i	−0.574275	+	0.818663i	$0.694716\pi$
$318$	−10.6352	+	14.8800i	−0.596391	+	0.834430i
$319$	0.379563			0.0212514
$320$	2.41534	−	19.1496i	0.135021	−	1.07049i
$321$	7.83590	+	10.9275i	0.437357	+	0.609912i
$322$	−9.12467	−	4.57840i	−0.508498	−	0.255144i
$323$		−	53.9951i		−	3.00437i
$324$	17.9999	−	0.0559908i	0.999995	−	0.00311060i
$325$	1.02712	+	0.593005i	0.0569741	+	0.0328940i
$326$	23.8182	−	8.10924i	1.31917	−	0.449129i
$327$	−8.75788	+	19.3458i	−0.484312	+	1.06982i
$328$	1.70662	−	27.1685i	0.0942322	−	1.50013i
$329$	−4.04887	−	15.5969i	−0.223221	−	0.859884i
$330$	0.0555362	−	0.571071i	0.00305717	−	0.0314364i
$331$		−	15.8039i		−	0.868663i	−0.900753	−	0.434331i	$-0.856985\pi$
$331$		−	15.8039i		−	0.868663i	0.900753	−	0.434331i	$-0.143015\pi$
$332$	−20.0528	−	26.0356i	−1.10054	−	1.42889i
$333$	−0.551385	+	0.484186i	−0.0302157	+	0.0265332i
$334$	6.27636	+	18.4347i	0.343427	+	1.00870i
$335$	−11.9287	+	20.6611i	−0.651734	+	1.12884i
$336$	16.6670	+	7.62951i	0.909262	+	0.416224i
$337$	−0.348399	−	0.603444i	−0.0189785	−	0.0328717i	0.856380	−	0.516346i	$-0.172708\pi$
$337$	−0.348399	−	0.603444i	−0.0189785	−	0.0328717i	−0.875359	+	0.483474i	$0.839375\pi$
$338$	10.1653	−	11.6125i	0.552917	−	0.631634i
$339$	−5.85022	+	4.19509i	−0.317740	+	0.227846i
$340$	34.7571	−	4.63990i	1.88497	−	0.251634i
$341$	0.384348	−	0.221904i	0.0208136	−	0.0120168i
$342$	−27.2758	+	15.8043i	−1.47491	+	0.854599i
$343$	−12.7854	−	13.3991i	−0.690344	−	0.723481i
$344$	2.03006	+	4.08853i	0.109454	+	0.220439i
$345$	6.64428	+	9.26572i	0.357716	+	0.498850i
$346$	4.80426	−	24.2675i	0.258279	−	1.30463i
$347$			12.7083i			0.682216i	0.940024	+	0.341108i	$0.110802\pi$
$347$			12.7083i			0.682216i	−0.940024	+	0.341108i	$0.889198\pi$
$348$	9.86470	−	9.27893i	0.528803	−	0.497403i
$349$	20.8435	+	12.0340i	1.11573	+	0.644165i	0.940307	−	0.340329i	$-0.110538\pi$
$349$	20.8435	+	12.0340i	1.11573	+	0.644165i	0.175420	+	0.984494i	$0.443872\pi$
$350$	2.56575	−	1.68887i	0.137145	−	0.0902737i
$351$	5.48396	+	5.12626i	0.292712	+	0.273620i
$352$	−0.493664	−	0.240676i	−0.0263124	−	0.0128281i
$353$	1.35364	+	2.34458i	0.0720471	+	0.124789i	0.899798	−	0.436306i	$-0.143713\pi$
$353$	1.35364	+	2.34458i	0.0720471	+	0.124789i	−0.827751	+	0.561095i	$0.810380\pi$
$354$	−7.07205	−	0.687752i	−0.375875	−	0.0365536i
$355$	1.64844	+	0.951730i	0.0874904	+	0.0505126i
$356$	1.09625	+	8.21188i	0.0581009	+	0.435229i
$357$	−5.67046	+	32.8150i	−0.300112	+	1.73676i
$358$	−9.17267	−	8.02954i	−0.484791	−	0.424374i
$359$	9.92256	+	17.1864i	0.523693	+	0.907063i	0.999620	+	0.0275778i	$0.00877940\pi$
$359$	9.92256	+	17.1864i	0.523693	+	0.907063i	−0.475927	+	0.879485i	$0.657887\pi$
$360$	−12.5172	−	16.1996i	−0.659717	−	0.853793i
$361$	18.1041	−	31.3572i	0.952846	−	1.65038i
$362$	−5.15184	+	26.0231i	−0.270775	+	1.36775i
$363$	17.3420	+	7.85075i	0.910217	+	0.412058i
$364$	2.88302	+	7.08009i	0.151111	+	0.371098i
$365$	26.1729	−	15.1109i	1.36995	−	0.790942i
$366$	−27.8211	−	2.70558i	−1.45423	−	0.141423i
$367$	−17.3779	−	30.0993i	−0.907117	−	1.57117i	−0.818050	−	0.575147i	$-0.804945\pi$
$367$	−17.3779	−	30.0993i	−0.907117	−	1.57117i	−0.0890674	−	0.996026i	$-0.528389\pi$
$368$	10.5316	−	2.86285i	0.548997	−	0.149236i
$369$	−19.0516	−	21.6957i	−0.991787	−	1.12943i
$370$	0.818690	+	0.162077i	0.0425617	+	0.00842599i
$371$	−5.26197	+	19.0417i	−0.273188	+	0.988597i
$372$	4.56434	−	15.1631i	0.236650	−	0.786171i
$373$	7.97499	+	4.60436i	0.412929	+	0.238405i	0.692048	−	0.721852i	$-0.256709\pi$
$373$	7.97499	+	4.60436i	0.412929	+	0.238405i	−0.279118	+	0.960257i	$0.590042\pi$
$374$	0.193769	−	0.978771i	0.0100195	−	0.0506110i
$375$	17.3790	−	1.71739i	0.897449	−	0.0886854i
$376$	14.3492	+	9.53155i	0.740003	+	0.491552i
$377$	5.64802			0.290888
$378$	18.2364	−	6.74049i	0.937979	−	0.346693i
$379$			9.71100i			0.498821i	0.968398	+	0.249410i	$0.0802368\pi$
$379$			9.71100i			0.498821i	−0.968398	+	0.249410i	$0.919763\pi$
$380$	33.1489	+	13.6604i	1.70050	+	0.700766i
$381$	−0.206320	−	2.08784i	−0.0105701	−	0.106964i
$382$	−31.8719	−	6.30973i	−1.63071	−	0.322834i
$383$	10.5899	−	18.3422i	0.541118	−	0.937244i	−0.457722	−	0.889095i	$-0.651335\pi$
$383$	10.5899	−	18.3422i	0.541118	−	0.937244i	0.998840	−	0.0481485i	$-0.0153321\pi$
$384$	−18.7138	+	5.81321i	−0.954985	+	0.296654i
$385$	−0.155719	−	0.599855i	−0.00793618	−	0.0305714i
$386$	−9.54277	−	1.88919i	−0.485714	−	0.0961574i
$387$	4.58574	+	1.55333i	0.233107	+	0.0789601i
$388$	22.2338	−	17.1246i	1.12875	−	0.869372i
$389$	20.1219	−	11.6174i	1.02022	−	0.589026i	0.106054	−	0.994360i	$-0.466178\pi$
$389$	20.1219	−	11.6174i	1.02022	−	0.589026i	0.914168	+	0.405335i	$0.132845\pi$
$390$	0.826398	−	8.49772i	0.0418463	−	0.430299i
$391$	9.91372	+	17.1711i	0.501359	+	0.868379i
$392$	19.7382	+	1.54978i	0.996932	+	0.0782758i
$393$	−2.12360	+	4.69095i	−0.107122	+	0.236627i
$394$	−1.64406	+	8.30456i	−0.0828268	+	0.418378i
$395$	1.39069	+	0.802917i	0.0699734	+	0.0403991i
$396$	−0.551146	+	0.188603i	−0.0276961	+	0.00947764i
$397$	2.38932	−	1.37947i	0.119916	−	0.0692338i	−0.438842	−	0.898564i	$-0.644611\pi$
$397$	2.38932	−	1.37947i	0.119916	−	0.0692338i	0.558758	+	0.829330i	$0.311278\pi$
$398$	18.8774	−	21.5649i	0.946240	−	1.08095i
$399$	−21.7972	+	26.1582i	−1.09123	+	1.30955i
$400$	−0.838413	+	3.17495i	−0.0419206	+	0.158747i
$401$	7.69518	−	13.3284i	0.384279	−	0.665591i	−0.607390	−	0.794404i	$-0.707783\pi$
$401$	7.69518	−	13.3284i	0.384279	−	0.665591i	0.991669	+	0.128813i	$0.0411167\pi$
$402$	24.1078	+	2.34447i	1.20239	+	0.116931i
$403$	5.71923	−	3.30200i	0.284895	−	0.164484i
$404$	−31.1295	+	4.15563i	−1.54875	+	0.206750i
$405$	−21.5319	−	2.80626i	−1.06993	−	0.139444i
$406$	6.56026	−	13.0745i	0.325580	−	0.648876i
$407$	0.0118737	−	0.0205659i	0.000588560	−	0.00101941i
$408$	−18.8914	−	30.1748i	−0.935264	−	1.49388i
$409$	−5.46524			−0.270239			−0.135119	−	0.990829i	$-0.543142\pi$
$409$	−5.46524			−0.270239			−0.135119	+	0.990829i	$0.543142\pi$
$410$	−6.37737	+	32.2136i	−0.314956	+	1.59092i
$411$	−6.28978	+	4.51028i	−0.310252	+	0.222476i
$412$	9.48265	−	7.30361i	0.467177	−	0.359823i
$413$	−7.42850	+	1.92840i	−0.365533	+	0.0948903i
$414$	5.77230	−	10.0339i	0.283693	−	0.493140i
$415$	19.8218	+	34.3323i	0.973012	+	1.68531i
$416$	−7.34588	−	3.58134i	−0.360162	−	0.175590i
$417$	−1.47909	−	2.06265i	−0.0724314	−	0.101009i
$418$	0.671959	−	0.767623i	0.0328666	−	0.0375457i
$419$	13.2896	−	7.67277i	0.649241	−	0.374839i	−0.138924	−	0.990303i	$-0.544364\pi$
$419$	13.2896	−	7.67277i	0.649241	−	0.374839i	0.788165	+	0.615464i	$0.211031\pi$
$420$	−18.7113	−	11.7832i	−0.913020	−	0.574963i
$421$	17.9067	+	10.3384i	0.872718	+	0.503864i	0.868251	−	0.496126i	$-0.165245\pi$
$421$	17.9067	+	10.3384i	0.872718	+	0.503864i	0.00446767	+	0.999990i	$0.498578\pi$
$422$	26.0011	−	8.85245i	1.26571	−	0.430931i
$423$	17.9180	−	3.57622i	0.871203	−	0.173882i
$424$	−9.39228	−	18.9160i	−0.456130	−	0.918641i
$425$	−5.96577			−0.289383
$426$	0.187053	−	1.92344i	0.00906275	−	0.0931910i
$427$	−29.2233	+	7.58622i	−1.41422	+	0.367123i
$428$	−15.3903	+	2.05453i	−0.743917	+	0.0993092i
$429$	−0.221317	−	0.100191i	−0.0106853	−	0.00483725i
$430$	−1.77477	−	5.21280i	−0.0855871	−	0.251384i
$431$	6.43523	−	11.1462i	0.309974	−	0.536891i	−0.668382	−	0.743818i	$-0.733013\pi$
$431$	6.43523	−	11.1462i	0.309974	−	0.536891i	0.978356	+	0.206927i	$0.0663462\pi$
$432$	−9.71344	+	18.3752i	−0.467338	+	0.884079i
$433$	−9.67133			−0.464775			−0.232387	−	0.972623i	$-0.574654\pi$
$433$	−9.67133			−0.464775			−0.232387	+	0.972623i	$0.574654\pi$
$434$	−1.00076	−	17.0747i	−0.0480382	−	0.819610i
$435$	−13.2766	+	9.52041i	−0.636564	+	0.456468i
$436$	−14.9626	−	19.4268i	−0.716580	−	0.930373i
$437$			20.2729i			0.969785i
$438$	−24.9627	−	17.8416i	−1.19276	−	0.852503i
$439$	23.6578			1.12913			0.564563	−	0.825390i	$-0.309045\pi$
$439$	23.6578			1.12913			0.564563	+	0.825390i	$0.309045\pi$
$440$	0.551869	+	0.366583i	0.0263093	+	0.0174761i
$441$	15.9942	−	13.6083i	0.761627	−	0.648016i
$442$	2.88334	−	14.5644i	0.137147	−	0.692760i
$443$		−	38.0976i		−	1.81007i	−0.425336	−	0.905036i	$-0.639844\pi$
$443$		−	38.0976i		−	1.81007i	0.425336	−	0.905036i	$-0.360156\pi$
$444$	−0.194168	−	0.824771i	−0.00921479	−	0.0391419i
$445$		−	9.99413i		−	0.473767i
$446$	−12.4828	+	14.2599i	−0.591076	+	0.675225i
$447$	−7.13209	+	15.7545i	−0.337336	+	0.745161i
$448$	−16.8227	+	12.8451i	−0.794799	+	0.606872i
$449$	−15.6385			−0.738025			−0.369012	−	0.929424i	$-0.620304\pi$
$449$	−15.6385			−0.738025			−0.369012	+	0.929424i	$0.620304\pi$
$450$	1.74618	+	3.01363i	0.0823156	+	0.142064i
$451$	0.809222	+	0.467205i	0.0381048	+	0.0219998i
$452$	−1.09993	−	8.23946i	−0.0517362	−	0.387551i
$453$	−6.97693	+	5.00303i	−0.327805	+	0.235063i
$454$	4.50363	−	1.53332i	0.211366	−	0.0719625i
$455$	−2.31715	−	8.92604i	−0.108630	−	0.418459i
$456$	−1.30162	−	36.3772i	−0.0609541	−	1.70352i
$457$	−25.6816			−1.20133			−0.600667	−	0.799499i	$-0.705098\pi$
$457$	−25.6816			−1.20133			−0.600667	+	0.799499i	$0.705098\pi$
$458$	−15.2251	−	13.3277i	−0.711422	−	0.622762i
$459$	−36.7821	−	8.53859i	−1.71684	−	0.398547i
$460$	−13.0498	+	1.74209i	−0.608452	+	0.0812254i
$461$	−7.15810	−	4.13273i	−0.333386	−	0.192481i	0.323957	−	0.946072i	$-0.394987\pi$
$461$	−7.15810	−	4.13273i	−0.333386	−	0.192481i	−0.657343	+	0.753591i	$0.728320\pi$
$462$	−0.488992	+	0.395949i	−0.0227500	+	0.0184212i
$463$	18.8617	+	32.6695i	0.876580	+	1.51828i	0.855070	+	0.518512i	$0.173514\pi$
$463$	18.8617	+	32.6695i	0.876580	+	1.51828i	0.0215094	+	0.999769i	$0.493153\pi$
$464$	4.10210	+	15.0904i	0.190435	+	0.700555i
$465$	−7.87808	+	17.4023i	−0.365337	+	0.807014i
$466$	−5.97939	−	17.5625i	−0.276990	−	0.813565i
$467$	10.9399	−	6.31613i	0.506236	−	0.292276i	−0.225049	−	0.974347i	$-0.572254\pi$
$467$	10.9399	−	6.31613i	0.506236	−	0.292276i	0.731285	+	0.682072i	$0.238921\pi$
$468$	−8.20123	+	2.80647i	−0.379102	+	0.129729i
$469$	25.3229	−	6.57369i	1.16930	−	0.303545i
$470$	−15.6362	−	13.6876i	−0.721245	−	0.631361i
$471$	−14.3926	+	1.42227i	−0.663175	+	0.0655346i
$472$	4.53970	−	6.83425i	0.208957	−	0.314572i
$473$	−0.156688			−0.00720454
$474$	0.157805	−	1.62269i	0.00724824	−	0.0745326i
$475$	−5.28259	−	3.04990i	−0.242382	−	0.139939i
$476$	−30.3659	−	23.5914i	−1.39182	−	1.08131i
$477$	−21.2164	−	7.18662i	−0.971432	−	0.329053i
$478$	−4.44854	−	13.0661i	−0.203471	−	0.597629i
$479$	−17.7951	−	30.8220i	−0.813078	−	1.40829i	−0.910700	−	0.413069i	$-0.864457\pi$
$479$	−17.7951	−	30.8220i	−0.813078	−	1.40829i	0.0976214	−	0.995224i	$-0.468877\pi$
$480$	23.3045	−	3.96383i	1.06370	−	0.180923i
$481$	0.176685	−	0.306028i	0.00805615	−	0.0139537i
$482$	−7.19069	−	21.1203i	−0.327527	−	0.962002i
$483$	2.12902	−	12.3207i	0.0968738	−	0.560611i
$484$	−17.4146	+	13.4128i	−0.791571	+	0.609674i
$485$	−29.3190	+	16.9273i	−1.33131	+	0.768630i
$486$	6.45280	+	21.0799i	0.292705	+	0.956203i
$487$	−18.7693	+	32.5094i	−0.850518	+	1.47314i	0.0302240	+	0.999543i	$0.490378\pi$
$487$	−18.7693	+	32.5094i	−0.850518	+	1.47314i	−0.880742	+	0.473597i	$0.842955\pi$
$488$	17.8589	−	26.8856i	0.808436	−	1.21705i
$489$	17.9575	+	25.0425i	0.812067	+	1.13246i
$490$	−23.3541	−	5.00379i	−1.05503	−	0.226048i
$491$	9.47328	−	5.46940i	0.427523	−	0.246831i	−0.270768	−	0.962645i	$-0.587278\pi$
$491$	9.47328	−	5.46940i	0.427523	−	0.246831i	0.698291	+	0.715814i	$0.253944\pi$
$492$	32.4528	−	7.64006i	1.46309	−	0.344440i
$493$	−24.6040	+	14.2051i	−1.10811	+	0.639766i
$494$	9.99897	−	11.4225i	0.449875	−	0.513922i
$495$	0.689124	−	0.137541i	0.0309738	−	0.00618201i
$496$	12.9761	+	12.8825i	0.582645	+	0.578440i
$497$	−0.524481	−	2.02039i	−0.0235262	−	0.0906267i
$498$	23.4036	−	32.7448i	1.04874	−	1.46733i
$499$	20.7208	+	11.9631i	0.927588	+	0.535543i	0.886048	−	0.463594i	$-0.153440\pi$
$499$	20.7208	+	11.9631i	0.927588	+	0.535543i	0.0415402	+	0.999137i	$0.486774\pi$
$500$	−7.68318	+	18.6443i	−0.343602	+	0.833796i
$501$	−19.3823	+	13.8987i	−0.865936	+	0.620947i
$502$	1.33844	−	6.76078i	0.0597375	−	0.301748i
$503$	17.5332			0.781768			0.390884	−	0.920440i	$-0.372169\pi$
$503$	17.5332			0.781768			0.390884	+	0.920440i	$0.372169\pi$
$504$	−3.02921	+	22.2446i	−0.134932	+	0.990855i
$505$	37.8856			1.68589
$506$	−0.0727521	+	0.367488i	−0.00323422	+	0.0163368i
$507$	17.2194	+	7.79525i	0.764739	+	0.346199i
$508$	2.23984	+	0.923026i	0.0993771	+	0.0409527i
$509$	−37.5597	−	21.6851i	−1.66480	−	0.961175i	−0.970371	−	0.241618i	$-0.922322\pi$
$509$	−37.5597	−	21.6851i	−1.66480	−	0.961175i	−0.694433	−	0.719557i	$-0.744345\pi$
$510$	17.7723	+	39.0963i	0.786971	+	1.73121i
$511$	−31.9444	−	8.82746i	−1.41313	−	0.390504i
$512$	4.23341	−	22.2279i	0.187092	−	0.982342i
$513$	−28.2047	−	26.3650i	−1.24527	−	1.16404i
$514$	−19.9873	+	22.8328i	−0.881601	+	1.00711i
$515$	−12.5045	+	7.21945i	−0.551012	+	0.318127i
$516$	−4.07227	+	3.83046i	−0.179272	+	0.168627i
$517$	−0.512086	+	0.295653i	−0.0225215	+	0.0130028i
$518$	−0.503195	−	0.764461i	−0.0221091	−	0.0335885i
$519$	30.1514	−	2.97955i	1.32350	−	0.130788i
$520$	8.21199	+	5.45487i	0.360119	+	0.239212i
$521$	−13.9663	+	24.1903i	−0.611873	+	1.05980i	0.379052	+	0.925376i	$0.376250\pi$
$521$	−13.9663	+	24.1903i	−0.611873	+	1.05980i	−0.990925	+	0.134419i	$0.957083\pi$
$522$	14.3773	+	8.27096i	0.629278	+	0.362010i
$523$	−8.25108	+	4.76377i	−0.360795	+	0.208305i	−0.669429	−	0.742876i	$-0.733461\pi$
$523$	−8.25108	+	4.76377i	−0.360795	+	0.208305i	0.308635	+	0.951181i	$0.400128\pi$
$524$	−3.62813	−	4.71058i	−0.158495	−	0.205783i
$525$	2.89015	+	2.40832i	0.126137	+	0.105108i
$526$	−4.96256	−	14.5759i	−0.216378	−	0.635538i
$527$	−16.6094	+	28.7684i	−0.723519	+	1.25317i
$528$	0.106950	−	0.664082i	0.00465440	−	0.0289005i
$529$	7.77781	+	13.4716i	0.338166	+	0.585720i
$530$	8.21115	+	24.1175i	0.356670	+	1.04760i
$531$	−1.70329	−	8.53400i	−0.0739163	−	0.370344i
$532$	−14.8277	−	36.4138i	−0.642864	−	1.57874i
$533$	12.0415	+	6.95216i	0.521575	+	0.301131i
$534$	−9.23708	+	4.19897i	−0.399728	+	0.181707i
$535$	18.7305			0.809789
$536$	−15.4753	+	23.2972i	−0.668431	+	1.00628i
$537$	6.15746	−	13.6016i	0.265714	−	0.586951i
$538$	−21.6762	−	18.9748i	−0.934526	−	0.818062i
$539$	−0.348958	+	0.583179i	−0.0150307	+	0.0251193i
$540$	14.5477	−	20.4212i	0.626034	−	0.878789i
$541$	28.1893	−	16.2751i	1.21195	−	0.699721i	0.248768	−	0.968563i	$-0.419974\pi$
$541$	28.1893	−	16.2751i	1.21195	−	0.699721i	0.963184	+	0.268842i	$0.0866411\pi$
$542$	9.08295	+	26.6781i	0.390146	+	1.14592i
$543$	−32.3328	+	3.19511i	−1.38753	+	0.137115i
$544$	41.0075	−	2.87426i	1.75818	−	0.123233i
$545$	14.7902	+	25.6174i	0.633544	+	1.09733i
$546$	−7.27636	+	5.89185i	−0.311399	+	0.252148i
$547$	26.9771	+	15.5752i	1.15346	+	0.665949i	0.949727	−	0.313078i	$-0.101360\pi$
$547$	26.9771	+	15.5752i	1.15346	+	0.665949i	0.203730	+	0.979027i	$0.434693\pi$
$548$	−1.18257	−	8.85852i	−0.0505169	−	0.378417i
$549$	−6.70063	−	33.5723i	−0.285976	−	1.43283i
$550$	−0.0848127	−	0.0742430i	−0.00361643	−	0.00316573i
$551$	−29.0485			−1.23751
$552$	7.09294	+	11.3294i	0.301896	+	0.482211i
$553$	−0.442473	−	1.70448i	−0.0188159	−	0.0724818i
$554$	−5.36564	+	1.82681i	−0.227964	+	0.0776136i
$555$	0.100518	+	1.01719i	0.00426677	+	0.0431774i
$556$	2.90504	−	0.387809i	0.123201	−	0.0164468i
$557$	−13.8398	−	7.99043i	−0.586413	−	0.338566i	0.177265	−	0.984163i	$-0.443275\pi$
$557$	−13.8398	−	7.99043i	−0.586413	−	0.338566i	−0.763678	+	0.645598i	$0.776608\pi$
$558$	19.3940	−	0.0301636i	0.821016	−	0.00127693i
$559$	−2.33157			−0.0986151
$560$	22.1657	−	12.6739i	0.936673	−	0.535568i
$561$	1.21609	−	0.120173i	0.0513432	−	0.00507371i
$562$	−3.03394	+	3.46588i	−0.127979	+	0.146199i
$563$		−	9.96301i		−	0.419891i	−0.977713	−	0.209945i	$-0.932671\pi$
$563$		−	9.96301i		−	0.419891i	0.977713	−	0.209945i	$-0.0673286\pi$
$564$	−6.08129	+	20.2025i	−0.256068	+	0.850681i
$565$			10.0277i			0.421868i
$566$	−1.12164	+	5.66566i	−0.0471460	+	0.238145i
$567$	14.3724	+	18.9851i	0.603583	+	0.797300i
$568$	1.85876	+	1.23470i	0.0779920	+	0.0518067i
$569$	−26.2158			−1.09903			−0.549513	−	0.835485i	$-0.685187\pi$
$569$	−26.2158			−1.09903			−0.549513	+	0.835485i	$0.685187\pi$
$570$	−4.25027	+	43.7049i	−0.178024	+	1.83060i
$571$		−	7.96980i		−	0.333526i	−0.985997	−	0.166763i	$-0.946669\pi$
$571$		−	7.96980i		−	0.333526i	0.985997	−	0.166763i	$-0.0533314\pi$
$572$	0.222243	−	0.171173i	0.00929245	−	0.00715712i
$573$	−3.91322	−	39.5997i	−0.163477	−	1.65430i
$574$	30.0798	−	19.7996i	1.25551	−	0.826419i
$575$	2.23990			0.0934103
$576$	−13.4548	−	19.8738i	−0.560617	−	0.828075i
$577$	0.720452	−	1.24786i	0.0299928	−	0.0519491i	−0.850639	−	0.525750i	$-0.823785\pi$
$577$	0.720452	−	1.24786i	0.0299928	−	0.0519491i	0.880632	+	0.473801i	$0.157118\pi$
$578$	16.3214	+	47.9388i	0.678882	+	1.99399i
$579$	−1.17166	−	11.8565i	−0.0486924	−	0.492741i
$580$	−2.49619	−	18.6988i	−0.103649	−	0.776424i
$581$	11.5794	−	41.9030i	0.480395	−	1.73843i
$582$	27.9633	+	19.9862i	1.15911	+	0.828453i
$583$	0.724934			0.0300237
$584$	31.7334	−	15.7565i	1.31314	−	0.652008i
$585$	10.2544	−	2.04665i	0.423967	−	0.0846188i
$586$	14.5463	−	4.95248i	0.600901	−	0.204585i
$587$	35.1258	+	20.2799i	1.44980	+	0.837040i	0.998469	−	0.0553188i	$-0.0176175\pi$
$587$	35.1258	+	20.2799i	1.44980	+	0.837040i	0.451327	+	0.892359i	$0.350951\pi$
$588$	5.18733	+	23.6874i	0.213922	+	0.976851i
$589$	−29.4147	+	16.9826i	−1.21201	+	0.699756i
$590$	−6.51914	+	7.44724i	−0.268389	+	0.306598i
$591$	−10.3181	+	1.01963i	−0.424430	+	0.0419420i
$592$	0.945971	+	0.249804i	0.0388792	+	0.0102669i
$593$	−15.3873	−	26.6516i	−0.631881	−	1.09445i	−0.987167	−	0.159692i	$-0.948950\pi$
$593$	−15.3873	−	26.6516i	−0.631881	−	1.09445i	0.355286	−	0.934758i	$-0.384383\pi$
$594$	−0.416654	−	0.579136i	−0.0170955	−	0.0237623i
$595$	32.5435	+	33.0559i	1.33415	+	1.35516i
$596$	−12.1850	−	15.8204i	−0.499118	−	0.648030i
$597$	31.9773	+	14.4762i	1.30874	+	0.592471i
$598$	−1.08257	+	5.46834i	−0.0442698	+	0.223617i
$599$	−7.16366			−0.292699			−0.146350	−	0.989233i	$-0.546752\pi$
$599$	−7.16366			−0.292699			−0.146350	+	0.989233i	$0.546752\pi$
$600$	−4.01922	+	0.143813i	−0.164084	+	0.00587114i
$601$	−10.8726	+	18.8319i	−0.443502	+	0.768168i	−0.997947	−	0.0640524i	$-0.979598\pi$
$601$	−10.8726	+	18.8319i	−0.443502	+	0.768168i	0.554444	+	0.832221i	$0.312931\pi$
$602$	−2.70816	+	5.39732i	−0.110376	+	0.219978i
$603$	5.80630	+	29.0914i	0.236451	+	1.18469i
$604$	−1.31177	−	9.82632i	−0.0533750	−	0.399827i
$605$	22.9640	−	13.2583i	0.933620	−	0.539026i
$606$	−15.9174	−	35.0158i	−0.646600	−	1.42242i
$607$	2.13855	−	3.70408i	0.0868011	−	0.150344i	−0.819356	−	0.573285i	$-0.805669\pi$
$607$	2.13855	−	3.70408i	0.0868011	−	0.150344i	0.906157	+	0.422941i	$0.139002\pi$
$608$	37.7808	+	18.4193i	1.53221	+	0.747001i
$609$	17.6540	+	3.05062i	0.715375	+	0.123617i
$610$	−25.6459	+	29.2971i	−1.03837	+	1.18620i
$611$	−7.62000	+	4.39941i	−0.308272	+	0.177981i
$612$	28.6679	−	32.8522i	1.15883	−	1.32797i
$613$	−30.9824	−	17.8877i	−1.25137	−	0.722476i	−0.279985	−	0.960004i	$-0.590329\pi$
$613$	−30.9824	−	17.8877i	−1.25137	−	0.722476i	−0.971381	+	0.237528i	$0.923663\pi$
$614$	−0.649033	+	3.27842i	−0.0261928	+	0.132306i
$615$	−40.0242	+	3.95517i	−1.61393	+	0.159488i
$616$	−0.138107	−	0.713286i	−0.00556450	−	0.0287391i
$617$	−1.16387	−	2.01588i	−0.0468556	−	0.0811563i	0.841646	−	0.540029i	$-0.181587\pi$
$617$	−1.16387	−	2.01588i	−0.0468556	−	0.0811563i	−0.888502	+	0.458873i	$0.848253\pi$
$618$	11.9263	+	8.52405i	0.479744	+	0.342887i
$619$	−31.7728	+	18.3441i	−1.27706	+	0.737310i	−0.976306	−	0.216393i	$-0.930571\pi$
$619$	−31.7728	+	18.3441i	−1.27706	+	0.737310i	−0.300752	+	0.953702i	$0.597238\pi$
$620$	−13.4595	−	17.4752i	−0.540547	−	0.701820i
$621$	13.8102	+	3.20589i	0.554183	+	0.128648i
$622$	10.5231	+	2.08327i	0.421938	+	0.0835316i
$623$	−7.80995	+	7.68888i	−0.312899	+	0.308049i
$624$	1.59145	−	9.88177i	0.0637090	−	0.395587i
$625$	14.2154	−	24.6218i	0.568616	−	0.984871i
$626$	−27.0642	−	5.35793i	−1.08170	−	0.214146i
$627$	1.13826	+	0.515293i	0.0454577	+	0.0205788i
$628$	6.36289	−	15.4404i	0.253907	−	0.616139i
$629$			1.77749i			0.0708734i
$630$	7.17287	−	26.1149i	0.285774	−	1.04044i
$631$	9.69045			0.385771			0.192885	−	0.981221i	$-0.438215\pi$
$631$	9.69045			0.385771			0.192885	+	0.981221i	$0.438215\pi$
$632$	1.56813	+	1.04164i	0.0623767	+	0.0414342i
$633$	19.6033	+	27.3376i	0.779162	+	1.08657i
$634$	8.00634	−	40.4419i	0.317972	−	1.60615i
$635$	−2.53090	−	1.46122i	−0.100436	−	0.0579866i
$636$	18.8408	−	17.7220i	0.747085	−	0.702723i
$637$	−5.19261	+	8.67790i	−0.205739	+	0.343831i
$638$	−0.526563	−	0.104244i	−0.0208468	−	0.00412708i
$639$	2.32106	−	0.463255i	0.0918196	−	0.0183261i
$640$	−8.61008	+	25.9027i	−0.340343	+	1.02389i
$641$	−3.58735	−	6.21348i	−0.141692	−	0.245418i	0.786442	−	0.617664i	$-0.211921\pi$
$641$	−3.58735	−	6.21348i	−0.141692	−	0.245418i	−0.928134	+	0.372247i	$0.878588\pi$
$642$	−7.86949	−	17.3117i	−0.310584	−	0.683236i
$643$	−12.7711	+	7.37340i	−0.503643	+	0.290778i	−0.730217	−	0.683216i	$-0.760581\pi$
$643$	−12.7711	+	7.37340i	−0.503643	+	0.290778i	0.226574	+	0.973994i	$0.427248\pi$
$644$	11.4011	+	8.85759i	0.449268	+	0.349038i
$645$	5.48075	−	3.93014i	0.215804	−	0.154749i
$646$	−14.8294	+	74.9068i	−0.583455	+	2.94717i
$647$	1.26443	−	2.19006i	0.0497099	−	0.0861001i	−0.840100	−	0.542432i	$-0.817504\pi$
$647$	1.26443	−	2.19006i	0.0497099	−	0.0861001i	0.889810	+	0.456332i	$0.150837\pi$
$648$	−24.9865	−	4.86588i	−0.981561	−	0.191150i
$649$	0.140814	+	0.243897i	0.00552743	+	0.00957379i
$650$	−1.26204	−	1.10476i	−0.0495013	−	0.0433323i
$651$	19.6600	−	7.23196i	0.770538	−	0.283443i
$652$	−35.2698	+	4.70835i	−1.38127	+	0.184393i
$653$	40.3366	+	23.2883i	1.57849	+	0.911342i	0.995070	+	0.0991726i	$0.0316196\pi$
$653$	40.3366	+	23.2883i	1.57849	+	0.911342i	0.583421	+	0.812170i	$0.301714\pi$
$654$	17.4629	−	24.4329i	0.682853	−	0.955401i
$655$	3.58632	+	6.21169i	0.140129	+	0.242711i
$656$	−9.82922	+	37.2218i	−0.383766	+	1.45327i
$657$	12.0563	−	35.5926i	0.470359	−	1.38860i
$658$	1.33337	+	22.7494i	0.0519800	+	0.886863i
$659$	28.9845	+	16.7342i	1.12908	+	0.651873i	0.943703	−	0.330795i	$-0.107317\pi$
$659$	28.9845	+	16.7342i	1.12908	+	0.651873i	0.185374	+	0.982668i	$0.440650\pi$
$660$	−0.233886	+	0.776988i	−0.00910399	+	0.0302442i
$661$			42.4211i			1.64999i	0.565141	+	0.824994i	$0.308822\pi$
$661$			42.4211i			1.64999i	−0.565141	+	0.824994i	$0.691178\pi$
$662$	−4.34045	+	21.9246i	−0.168696	+	0.852125i
$663$	18.0958	−	1.78822i	0.702782	−	0.0694485i
$664$	20.6685	+	41.6263i	0.802095	+	1.61541i
$665$	11.9174	+	45.9077i	0.462137	+	1.78023i
$666$	0.897908	−	0.520271i	0.0347932	−	0.0201601i
$667$	9.23776	−	5.33343i	0.357688	−	0.206511i
$668$	−3.64415	−	27.2980i	−0.140996	−	1.05619i
$669$	−21.1451	−	9.57242i	−0.817515	−	0.370091i
$670$	22.2230	−	25.3868i	0.858548	−	0.980777i
$671$	0.553954	+	0.959477i	0.0213852	+	0.0370402i
$672$	−21.0266	−	15.1618i	−0.811119	−	0.584881i
$673$	−8.05980	+	13.9600i	−0.310682	+	0.538118i	−0.978510	−	0.206198i	$-0.933891\pi$
$673$	−8.05980	+	13.9600i	−0.310682	+	0.538118i	0.667828	+	0.744316i	$0.267224\pi$
$674$	0.317598	+	0.932837i	0.0122334	+	0.0359315i
$675$	−2.91300	+	3.11627i	−0.112122	+	0.119945i
$676$	−17.2914	+	13.3180i	−0.665056	+	0.512231i
$677$		−	18.5639i		−	0.713469i	−0.934206	−	0.356735i	$-0.883890\pi$
$677$		−	18.5639i		−	0.713469i	0.934206	−	0.356735i	$-0.116110\pi$
$678$	9.26810	−	4.21307i	0.355939	−	0.161802i
$679$	35.7842	+	9.88855i	1.37327	+	0.379488i
$680$	−49.4925	−	3.10892i	−1.89795	−	0.119222i
$681$	3.39547	+	4.73512i	0.130115	+	0.181450i
$682$	−0.594147	+	0.202286i	−0.0227511	+	0.00774592i
$683$	24.9956	+	14.4312i	0.956430	+	0.552195i	0.895072	−	0.445921i	$-0.147124\pi$
$683$	24.9956	+	14.4312i	0.956430	+	0.552195i	0.0613573	+	0.998116i	$0.480457\pi$
$684$	42.1800	−	14.4340i	1.61279	−	0.551899i
$685$			10.7811i			0.411925i
$686$	14.0570	+	22.0998i	0.536700	+	0.843773i
$687$	10.2204	−	22.5763i	0.389931	−	0.861341i
$688$	−1.69340	−	6.22952i	−0.0645602	−	0.237498i
$689$	10.7873			0.410962
$690$	−6.67277	−	14.6790i	−0.254028	−	0.558822i
$691$			5.40296i			0.205538i	0.994705	+	0.102769i	$0.0327703\pi$
$691$			5.40296i			0.205538i	−0.994705	+	0.102769i	$0.967230\pi$
$692$	−13.3298	+	32.3465i	−0.506723	+	1.22963i
$693$	−0.637653	−	0.432703i	−0.0242224	−	0.0164370i
$694$	3.49025	−	17.6301i	0.132488	−	0.669228i
$695$	−3.53553			−0.134110
$696$	−16.2336	+	10.1633i	−0.615333	+	0.385238i
$697$	−69.9404			−2.64918
$698$	−25.6109	−	22.4192i	−0.969387	−	0.848578i
$699$	18.4652	−	13.2411i	0.698418	−	0.500823i
$700$	−4.02327	+	1.63828i	−0.152065	+	0.0619211i
$701$		−	17.8913i		−	0.675747i	−0.941192	−	0.337873i	$-0.890292\pi$
$701$		−	17.8913i		−	0.675747i	0.941192	−	0.337873i	$-0.109708\pi$
$702$	−6.19994	−	8.61774i	−0.234002	−	0.325256i
$703$	−0.908714	+	1.57394i	−0.0342728	+	0.0593623i
$704$	0.618755	+	0.469469i	0.0233202	+	0.0176938i
$705$	10.4963	−	23.1860i	0.395315	−	0.873234i
$706$	−1.23397	−	3.62438i	−0.0464411	−	0.136405i
$707$	−29.1469	−	29.6058i	−1.09618	−	1.11344i
$708$	9.62209	+	2.89640i	0.361620	+	0.108854i
$709$		−	31.6981i		−	1.19045i	−0.803560	−	0.595224i	$-0.797063\pi$
$709$		−	31.6981i		−	1.19045i	0.803560	−	0.595224i	$-0.202937\pi$
$710$	−2.02548	−	1.77306i	−0.0760150	−	0.0665417i
$711$	1.95814	−	0.390821i	0.0734359	−	0.0146569i
$712$	0.734529	−	11.6933i	0.0275277	−	0.438226i
$713$	6.23616	−	10.8013i	0.233546	−	0.404514i
$714$	16.8790	−	43.9666i	0.631681	−	1.64541i
$715$	−0.293065	+	0.169201i	−0.0109600	+	0.00632776i
$716$	10.5199	+	13.6585i	0.393147	+	0.510442i
$717$	13.7377	−	9.85107i	0.513045	−	0.367895i
$718$	−9.04534	−	26.5677i	−0.337569	−	0.991496i
$719$	13.4198	+	23.2438i	0.500475	+	0.866848i	1.00000		0.000548152i	$0.000174482\pi$
$719$	13.4198	+	23.2438i	0.500475	+	0.866848i	−0.499525	+	0.866299i	$0.666492\pi$
$720$	12.9159	+	25.9113i	0.481348	+	0.965657i
$721$	15.2618	+	4.21744i	0.568381	+	0.157066i
$722$	−33.7276	+	38.5293i	−1.25521	+	1.43391i
$723$	22.2059	−	15.9234i	0.825846	−	0.592199i
$724$	14.2942	−	34.6867i	0.531239	−	1.28912i
$725$			3.20949i			0.119198i
$726$	−21.9022	−	15.6541i	−0.812866	−	0.580979i
$727$	−25.1580	+	43.5749i	−0.933058	+	1.61610i	−0.154998	+	0.987915i	$0.549537\pi$
$727$	−25.1580	+	43.5749i	−0.933058	+	1.61610i	−0.778060	+	0.628190i	$0.783796\pi$
$728$	−2.05508	−	10.6139i	−0.0761664	−	0.393379i
$729$	−22.4204	+	15.0441i	−0.830385	+	0.557190i
$730$	−40.4595	+	13.7750i	−1.49747	+	0.509836i
$731$	10.1568	−	5.86405i	0.375664	−	0.216890i
$732$	37.8528	+	11.3943i	1.39908	+	0.421145i
$733$	−5.76815	−	3.33024i	−0.213052	−	0.123005i	0.389677	−	0.920951i	$-0.372587\pi$
$733$	−5.76815	−	3.33024i	−0.213052	−	0.123005i	−0.602729	+	0.797946i	$0.705920\pi$
$734$	15.8415	+	46.5292i	0.584722	+	1.71742i
$735$	−2.42156	−	29.1516i	−0.0893205	−	1.07527i
$736$	−15.3966	+	1.07917i	−0.567527	+	0.0397786i
$737$	−0.480018	−	0.831416i	−0.0176817	−	0.0306256i
$738$	20.4715	+	35.3306i	0.753566	+	1.30054i
$739$	19.3276	+	11.1588i	0.710976	+	0.410482i	0.811422	−	0.584460i	$-0.198694\pi$
$739$	19.3276	+	11.1588i	0.710976	+	0.410482i	−0.100446	+	0.994942i	$0.532027\pi$
$740$	−1.09125	−	0.449696i	−0.0401150	−	0.0165311i
$741$	16.9377	+	7.66773i	0.622221	+	0.281681i
$742$	12.5296	−	24.9712i	0.459974	−	0.916722i
$743$	−17.0958	−	29.6108i	−0.627185	−	1.08632i	−0.988114	−	0.153722i	$-0.950874\pi$
$743$	−17.0958	−	29.6108i	−0.627185	−	1.08632i	0.360930	−	0.932593i	$-0.382459\pi$
$744$	−10.4965	+	19.7821i	−0.384821	+	0.725246i
$745$	12.0446	+	20.8619i	0.441280	+	0.764320i
$746$	−9.79905	−	8.57786i	−0.358769	−	0.314058i
$747$	46.6885	+	15.8148i	1.70824	+	0.578633i
$748$	−0.537626	+	1.30462i	−0.0196576	+	0.0477017i
$749$	−14.4101	−	14.6370i	−0.526534	−	0.534824i
$750$	−24.5814	−	2.39052i	−0.897585	−	0.0872895i
$751$	20.3248	−	35.2036i	0.741662	−	1.28460i	−0.210076	−	0.977685i	$-0.567371\pi$
$751$	20.3248	−	35.2036i	0.741662	−	1.28460i	0.951738	−	0.306911i	$-0.0992954\pi$
$752$	−17.2887	−	17.1639i	−0.630454	−	0.625904i
$753$	8.40002	−	0.830086i	0.306114	−	0.0302500i
$754$	−7.83543	−	1.55119i	−0.285350	−	0.0564911i
$755$			11.9590i			0.435231i
$756$	−27.1504	+	4.34250i	−0.987449	+	0.157935i
$757$			44.7805i			1.62758i	0.581161	+	0.813788i	$0.302598\pi$
$757$			44.7805i			1.62758i	−0.581161	+	0.813788i	$0.697402\pi$
$758$	2.66706	−	13.4720i	0.0968721	−	0.489324i
$759$	−0.456590	+	0.0451200i	−0.0165732	+	0.00163775i
$760$	−42.2353	−	28.0551i	−1.53204	−	1.01767i
$761$	−9.71807	+	16.8322i	−0.352280	+	0.610166i	−0.986648	−	0.162864i	$-0.947927\pi$
$761$	−9.71807	+	16.8322i	−0.352280	+	0.610166i	0.634369	+	0.773031i	$0.281260\pi$
$762$	−0.287188	+	2.95311i	−0.0104037	+	0.106980i
$763$	8.64012	−	31.2664i	0.312793	−	1.13192i
$764$	42.4827	+	17.5068i	1.53697	+	0.633375i
$765$	−39.5228	+	34.7061i	−1.42895	+	1.25480i
$766$	−19.7288	+	22.5375i	−0.712831	+	0.814314i
$767$	2.09536	+	3.62926i	0.0756590	+	0.131045i
$768$	27.5580	−	2.92497i	0.994414	−	0.105546i
$769$	−3.83507	−	6.64254i	−0.138296	−	0.239536i	0.788556	−	0.614963i	$-0.210829\pi$
$769$	−3.83507	−	6.64254i	−0.138296	−	0.239536i	−0.926852	+	0.375427i	$0.877496\pi$
$770$	0.0512811	+	0.874939i	0.00184804	+	0.0315306i
$771$	−33.8573	−	15.3273i	−1.21934	−	0.551998i
$772$	12.7197	+	5.24172i	0.457793	+	0.188654i
$773$	21.0489	+	12.1526i	0.757076	+	0.437098i	0.828245	−	0.560366i	$-0.189340\pi$
$773$	21.0489	+	12.1526i	0.757076	+	0.437098i	−0.0711688	+	0.997464i	$0.522673\pi$
$774$	−5.93514	−	3.41436i	−0.213334	−	0.122727i
$775$	1.87636	+	3.24996i	0.0674010	+	0.116742i
$776$	−35.5479	+	17.6505i	−1.27609	+	0.633614i
$777$	0.717556	−	0.861117i	0.0257422	−	0.0308924i
$778$	−31.1056	+	10.5903i	−1.11519	+	0.379682i
$779$	−61.9309	−	35.7558i	−2.21891	−	1.28109i
$780$	−3.48030	+	11.5618i	−0.124615	+	0.413980i
$781$	−0.0663345	+	0.0382982i	−0.00237363	+	0.00137042i
$782$	−9.03728	−	26.5440i	−0.323172	−	0.949211i
$783$	−4.59363	+	19.7882i	−0.164163	+	0.707173i
$784$	−26.9570	−	7.57097i	−0.962750	−	0.270392i
$785$	−10.0729	+	17.4468i	−0.359517	+	0.622703i
$786$	4.23439	−	5.92446i	0.151036	−	0.211319i
$787$			7.37097i			0.262747i	0.991333	+	0.131373i	$0.0419387\pi$
$787$			7.37097i			0.262747i	−0.991333	+	0.131373i	$0.958061\pi$
$788$	4.56159	−	11.0693i	0.162500	−	0.394327i
$789$	15.3251	−	10.9893i	0.545588	−	0.391231i
$790$	−1.70878	−	1.49582i	−0.0607956	−	0.0532190i
$791$	7.83618	−	7.71471i	0.278622	−	0.274303i
$792$	0.816397	−	0.110278i	0.0290094	−	0.00391855i
$793$	8.24302	+	14.2773i	0.292718	+	0.507003i
$794$	−3.69354	+	1.25752i	−0.131079	+	0.0446276i
$795$	−25.3572	+	18.1832i	−0.899328	+	0.644891i
$796$	−32.1111	+	24.7322i	−1.13815	+	0.876611i
$797$	−31.2090	+	18.0185i	−1.10548	+	0.638248i	−0.937654	−	0.347569i	$-0.887007\pi$
$797$	−31.2090	+	18.0185i	−1.10548	+	0.638248i	−0.167824	+	0.985817i	$0.553674\pi$
$798$	37.4232	−	30.3025i	1.32477	−	1.07270i
$799$	22.1296	−	38.3295i	0.782888	−	1.35600i
$800$	2.03510	−	4.17431i	0.0719516	−	0.147584i
$801$	−8.19982	−	9.33785i	−0.289726	−	0.329937i
$802$	−14.3360	+	16.3770i	−0.506222	+	0.578291i
$803$			1.21615i			0.0429169i
$804$	−32.8006	−	9.87350i	−1.15679	−	0.348212i
$805$	−12.2187	−	12.4111i	−0.430654	−	0.437435i
$806$	−8.84110	+	3.01008i	−0.311414	+	0.106025i
$807$	14.5509	−	32.1422i	0.512215	−	1.13146i
$808$	44.3269	+	2.78444i	1.55941	+	0.0979563i
$809$	0.447335	−	0.774807i	0.0157275	−	0.0272408i	−0.858055	−	0.513559i	$-0.828327\pi$
$809$	0.447335	−	0.774807i	0.0157275	−	0.0272408i	0.873782	+	0.486318i	$0.161660\pi$
$810$	29.1002	+	9.80668i	1.02248	+	0.344572i
$811$		−	55.0971i		−	1.93472i	−0.253405	−	0.967360i	$-0.581550\pi$
$811$		−	55.0971i		−	1.93472i	0.253405	−	0.967360i	$-0.418450\pi$
$812$	−12.6918	+	16.3364i	−0.445395	+	0.573294i
$813$	−28.0494	+	20.1137i	−0.983737	+	0.705420i
$814$	−0.0221206	+	0.0252698i	−0.000775327	+	0.000885707i
$815$	42.9246			1.50358
$816$	17.9205	+	47.0496i	0.627344	+	1.64707i
$817$	11.9916			0.419532
$818$	7.58186	+	1.50099i	0.265094	+	0.0524809i
$819$	−9.48848	−	6.43876i	−0.331554	−	0.224988i
$820$	17.6945	−	42.9381i	0.617919	−	1.49946i
$821$		−	1.08737i		−	0.0379496i	−0.999820	−	0.0189748i	$-0.993960\pi$
$821$		−	1.08737i		−	0.0379496i	0.999820	−	0.0189748i	$-0.00604023\pi$
$822$	9.96446	−	4.52962i	0.347550	−	0.157989i
$823$	−7.14036			−0.248897			−0.124449	−	0.992226i	$-0.539716\pi$
$823$	−7.14036			−0.248897			−0.124449	+	0.992226i	$0.539716\pi$
$824$	−15.1611	+	7.52787i	−0.528161	+	0.262246i
$825$	0.0569334	−	0.125763i	0.00198217	−	0.00437852i
$826$	10.8351	−	0.635057i	0.377002	−	0.0220965i
$827$		−	0.829180i		−	0.0288334i	−0.999896	−	0.0144167i	$-0.995411\pi$
$827$		−	0.829180i		−	0.0288334i	0.999896	−	0.0144167i	$-0.00458914\pi$
$828$	−10.7636	+	12.3346i	−0.374061	+	0.428658i
$829$	−5.23402	−	3.02186i	−0.181785	−	0.104954i	0.406346	−	0.913719i	$-0.366803\pi$
$829$	−5.23402	−	3.02186i	−0.181785	−	0.104954i	−0.588131	+	0.808766i	$0.700136\pi$
$830$	−18.0694	−	53.0727i	−0.627197	−	1.84218i
$831$	−4.04538	−	5.64144i	−0.140333	−	0.195699i
$832$	9.20727	+	6.98585i	0.319205	+	0.242191i
$833$	0.794650	−	50.8625i	0.0275330	−	1.76228i
$834$	1.48543	+	3.26772i	0.0514363	+	0.113152i
$835$			33.2226i			1.14972i
$836$	−1.14302	+	0.880366i	−0.0395323	+	0.0304481i
$837$	6.91723	+	22.7233i	0.239094	+	0.785431i
$838$	−20.5438	+	6.99444i	−0.709675	+	0.241619i
$839$	19.2338	−	33.3139i	0.664024	−	1.15012i	−0.315525	−	0.948917i	$-0.602181\pi$
$839$	19.2338	−	33.3139i	0.664024	−	1.15012i	0.979549	−	0.201206i	$-0.0644860\pi$
$840$	22.7219	+	21.4857i	0.783979	+	0.741328i
$841$	−6.85788	−	11.8782i	−0.236479	−	0.409593i
$842$	−22.0024	−	19.2603i	−0.758251	−	0.663755i
$843$	−5.13933	−	2.32659i	−0.177008	−	0.0801319i
$844$	−38.5023	+	5.13987i	−1.32531	+	0.176922i
$845$	22.8017	−	13.1645i	0.784401	−	0.452874i
$846$	−25.8396	+	0.0401885i	−0.888384	+	0.00138171i
$847$	−28.0279	−	7.74519i	−0.963049	−	0.266128i
$848$	7.83467	+	28.8215i	0.269044	+	0.989733i
$849$	−7.03937	+	0.695628i	−0.241591	+	0.0238739i
$850$	8.27625	+	1.63846i	0.283873	+	0.0561987i
$851$		−	0.667376i		−	0.0228773i
$852$	−0.787757	+	2.61699i	−0.0269881	+	0.0896567i
$853$	15.6912	+	9.05933i	0.537257	+	0.310186i	0.743967	−	0.668217i	$-0.232942\pi$
$853$	15.6912	+	9.05933i	0.537257	+	0.310186i	−0.206709	+	0.978402i	$0.566275\pi$
$854$	42.6247	−	2.49828i	1.45859	−	0.0854895i
$855$	−52.7397	+	10.5262i	−1.80366	+	0.359989i
$856$	21.9150	+	1.37662i	0.749040	+	0.0470518i
$857$	−1.12499	−	1.94854i	−0.0384290	−	0.0665610i	0.846171	−	0.532911i	$-0.178902\pi$
$857$	−1.12499	−	1.94854i	−0.0384290	−	0.0665610i	−0.884600	+	0.466350i	$0.845569\pi$
$858$	0.279513	+	0.199776i	0.00954243	+	0.00682025i
$859$	31.1270	+	17.9712i	1.06204	+	0.613169i	0.925996	−	0.377533i	$-0.123228\pi$
$859$	31.1270	+	17.9712i	1.06204	+	0.613169i	0.136045	+	0.990703i	$0.456561\pi$
$860$	1.03046	+	7.71909i	0.0351384	+	0.263219i
$861$	33.8830	+	28.2342i	1.15473	+	0.962218i
$862$	−11.9887	+	13.6955i	−0.408338	+	0.466472i
$863$	−5.70004	−	9.87276i	−0.194032	−	0.336073i	0.752551	−	0.658534i	$-0.228823\pi$
$863$	−5.70004	−	9.87276i	−0.194032	−	0.336073i	−0.946583	+	0.322461i	$0.895490\pi$
$864$	18.5220	−	22.8240i	0.630131	−	0.776489i
$865$	21.1020	−	36.5498i	0.717490	−	1.24273i
$866$	13.4169	+	2.65617i	0.455926	+	0.0902603i
$867$	−50.4029	+	36.1430i	−1.71177	+	1.22748i
$868$	−3.30109	+	23.9623i	−0.112046	+	0.813335i
$869$	−0.0559624	+	0.0323099i	−0.00189839	+	0.00109604i
$870$	21.0332	−	9.56122i	0.713092	−	0.324156i
$871$	−7.14283	−	12.3717i	−0.242025	−	0.419200i
$872$	15.4221	+	31.0599i	0.522257	+	1.05182i
$873$	−13.5055	+	39.8709i	−0.457091	+	1.34943i
$874$	5.56782	−	28.1244i	0.188334	−	0.951321i
$875$	−25.8204	+	6.70283i	−0.872888	+	0.226597i
$876$	29.7304	+	31.6072i	1.00450	+	1.06791i
$877$	15.3671	+	8.87222i	0.518912	+	0.299594i	0.736489	−	0.676449i	$-0.236482\pi$
$877$	15.3671	+	8.87222i	0.518912	+	0.299594i	−0.217578	+	0.976043i	$0.569816\pi$
$878$	−32.8202	−	6.49747i	−1.10763	−	0.219279i
$879$	10.9670	+	15.2940i	0.369909	+	0.515853i
$880$	−0.664922	−	0.660123i	−0.0224145	−	0.0222527i
$881$	32.7140			1.10216			0.551081	−	0.834452i	$-0.314215\pi$
$881$	32.7140			1.10216			0.551081	+	0.834452i	$0.314215\pi$
$882$	−25.9260	+	14.4860i	−0.872973	+	0.487769i
$883$			26.7269i			0.899433i	0.893171	+	0.449716i	$0.148475\pi$
$883$			26.7269i			0.899433i	−0.893171	+	0.449716i	$0.851525\pi$
$884$	−8.00005	+	19.4132i	−0.269071	+	0.652936i
$885$	−11.0430	−	4.99921i	−0.371208	−	0.168047i
$886$	−10.4633	+	52.8524i	−0.351520	+	1.77561i
$887$	−7.72817	+	13.3856i	−0.259487	+	0.449444i	−0.966104	−	0.258151i	$-0.916887\pi$
$887$	−7.72817	+	13.3856i	−0.259487	+	0.449444i	0.706618	+	0.707595i	$0.250220\pi$
$888$	0.0428489	+	1.19752i	0.00143791	+	0.0401862i
$889$	0.805250	+	3.10195i	0.0270072	+	0.104036i
$890$	−2.74482	+	13.8647i	−0.0920066	+	0.464747i
$891$	0.531025	−	0.693910i	0.0177900	−	0.0232469i
$892$	21.2336	−	16.3543i	0.710953	−	0.547581i
$893$	39.1907	−	22.6267i	1.31147	−	0.757175i
$894$	14.2211	−	19.8972i	0.475626	−	0.665463i
$895$	−10.3987	−	18.0110i	−0.347589	−	0.602042i
$896$	26.8658	−	13.1996i	0.897523	−	0.440967i
$897$	−6.79421	+	0.671401i	−0.226852	+	0.0224174i
$898$	21.6951	+	4.29500i	0.723974	+	0.143326i
$899$	15.4769	+	8.93562i	0.516185	+	0.298020i
$900$	−1.59478	−	4.66036i	−0.0531593	−	0.155345i
$901$	−46.9915	+	27.1306i	−1.56552	+	0.903851i
$902$	−0.994310	−	0.870395i	−0.0331069	−	0.0289810i
$903$	−7.28778	−	1.25933i	−0.242522	−	0.0419080i
$904$	−0.736996	+	11.7326i	−0.0245121	+	0.390220i
$905$	−22.6287	+	39.1941i	−0.752203	+	1.30285i
$906$	11.0531	−	5.02448i	0.367214	−	0.166927i
$907$	−14.4452	+	8.33993i	−0.479644	+	0.276923i	−0.720268	−	0.693696i	$-0.755981\pi$
$907$	−14.4452	+	8.33993i	−0.479644	+	0.276923i	0.240624	+	0.970618i	$0.422648\pi$
$908$	−6.66895	+	0.890272i	−0.221317	+	0.0295447i
$909$	35.3978	−	31.0837i	1.17407	−	1.03098i
$910$	0.763080	+	13.0194i	0.0252959	+	0.431588i
$911$	5.41753	−	9.38344i	0.179491	−	0.310887i	−0.762215	−	0.647323i	$-0.775888\pi$
$911$	5.41753	−	9.38344i	0.179491	−	0.310887i	0.941706	+	0.336436i	$0.109222\pi$
$912$	−8.18503	+	50.8232i	−0.271034	+	1.68292i
$913$	−1.59528			−0.0527961
$914$	35.6278	+	7.05328i	1.17846	+	0.233302i
$915$	−43.4427	−	19.6666i	−1.43617	−	0.650159i
$916$	17.4613	+	22.6708i	0.576936	+	0.749065i
$917$	2.09505	−	7.58145i	0.0691846	−	0.250361i
$918$	48.6824	+	21.9475i	1.60676	+	0.724374i
$919$	−0.0613302	−	0.106227i	−0.00202310	−	0.00350411i	0.865012	−	0.501751i	$-0.167311\pi$
$919$	−0.0613302	−	0.106227i	−0.00202310	−	0.00350411i	−0.867035	+	0.498247i	$0.833977\pi$
$920$	18.5824	+	1.16727i	0.612642	+	0.0384838i
$921$	−4.07332	+	0.402523i	−0.134220	+	0.0132636i
$922$	8.79533	+	7.69922i	0.289659	+	0.253560i
$923$	−0.987079	+	0.569890i	−0.0324901	+	0.0187582i
$924$	0.787118	−	0.414997i	0.0258943	−	0.0136524i
$925$	0.173901	+	0.100402i	0.00571781	+	0.00330118i
$926$	−17.1942	−	50.5023i	−0.565037	−	1.65961i
$927$	−5.76004	+	17.0048i	−0.189185	+	0.558512i
$928$	−1.54631	−	22.0614i	−0.0507601	−	0.724200i
$929$	10.9730			0.360011			0.180006	−	0.983666i	$-0.442388\pi$
$929$	10.9730			0.360011			0.180006	+	0.983666i	$0.442388\pi$
$930$	15.7086	−	21.9784i	0.515106	−	0.720700i
$931$	26.7062	−	44.6316i	0.875262	−	1.46274i
$932$	3.47173	+	26.0064i	0.113720	+	0.851868i
$933$	1.29202	+	13.0746i	0.0422989	+	0.428042i
$934$	−16.9114	+	5.75774i	−0.553359	+	0.188399i
$935$	0.851101	−	1.47415i	0.0278340	−	0.0482098i
$936$	12.1483	−	1.64097i	0.397078	−	0.0536367i
$937$	39.6875			1.29653			0.648267	−	0.761413i	$-0.275494\pi$
$937$	39.6875			1.29653			0.648267	+	0.761413i	$0.275494\pi$
$938$	−36.9356	+	2.16484i	−1.20599	+	0.0706844i
$939$	−3.32293	−	33.6262i	−0.108440	−	1.09735i
$940$	17.9328	+	23.2830i	0.584902	+	0.759408i
$941$		−	35.8531i		−	1.16878i	−0.811474	−	0.584389i	$-0.801334\pi$
$941$		−	35.8531i		−	1.16878i	0.811474	−	0.584389i	$-0.198666\pi$
$942$	20.3573	+	1.97973i	0.663276	+	0.0645031i
$943$	26.2597			0.855134
$944$	−8.17486	+	8.23429i	−0.266069	+	0.268003i
$945$	33.1575	−	0.858597i	1.07861	−	0.0279302i
$946$	0.217372	+	0.0430334i	0.00706737	+	0.00139914i
$947$		−	22.4328i		−	0.728967i	−0.931210	−	0.364483i	$-0.881246\pi$
$947$		−	22.4328i		−	0.728967i	0.931210	−	0.364483i	$-0.118754\pi$
$948$	−0.664583	+	2.20780i	−0.0215847	+	0.0717060i
$949$			18.0967i			0.587443i
$950$	6.49084	+	5.68192i	0.210591	+	0.184346i
$951$	50.2476	−	4.96544i	1.62939	−	0.161015i
$952$	35.6470	+	41.0679i	1.15533	+	1.33102i
$953$	−11.5099			−0.372842			−0.186421	−	0.982470i	$-0.559689\pi$
$953$	−11.5099			−0.372842			−0.186421	+	0.982470i	$0.559689\pi$
$954$	27.4595	+	15.7969i	0.889034	+	0.511442i
$955$	−48.0031	−	27.7146i	−1.55334	−	0.896823i
$956$	2.58289	+	19.3482i	0.0835367	+	0.625766i
$957$	−0.0646512	−	0.654235i	−0.00208988	−	0.0211484i
$958$	16.2219	+	47.6463i	0.524105	+	1.53938i
$959$	8.42494	−	8.29435i	0.272056	−	0.267838i
$960$	−33.4187	−	0.901442i	−1.07858	−	0.0290939i
$961$	−10.1039			−0.325932
$962$	−0.329162	+	0.376023i	−0.0106126	+	0.0121235i
$963$	17.5005	−	15.3677i	0.563946	−	0.495216i
$964$	4.17503	+	31.2748i	0.134469	+	1.00729i
$965$	−14.3726	−	8.29801i	−0.462670	−	0.267122i
$966$	−6.33736	+	16.5076i	−0.203901	+	0.531124i
$967$	−21.1034	−	36.5521i	−0.678638	−	1.17544i	−0.975391	−	0.220482i	$-0.929237\pi$
$967$	−21.1034	−	36.5521i	−0.678638	−	1.17544i	0.296753	−	0.954954i	$-0.404096\pi$
$968$	27.8428	−	13.8247i	0.894901	−	0.444342i
$969$	−93.0689	+	9.19702i	−2.98980	+	0.295451i
$970$	45.3229	−	15.4308i	1.45523	−	0.495454i
$971$	−26.2010	+	15.1271i	−0.840829	+	0.485453i	−0.857546	−	0.514407i	$-0.828012\pi$
$971$	−26.2010	+	15.1271i	−0.840829	+	0.485453i	0.0167166	+	0.999860i	$0.494679\pi$
$972$	−3.16245	−	31.0161i	−0.101436	−	0.994842i
$973$	2.72003	+	2.76285i	0.0872000	+	0.0885730i
$974$	34.9669	−	39.9450i	1.12041	−	1.27992i
$975$	0.847187	−	1.87140i	0.0271317	−	0.0599328i
$976$	−32.1595	+	32.3932i	−1.02940	+	1.03688i
$977$	−39.5819			−1.26634			−0.633168	−	0.774014i	$-0.718246\pi$
$977$	−39.5819			−1.26634			−0.633168	+	0.774014i	$0.718246\pi$
$978$	−18.0345	−	39.6731i	−0.576680	−	1.26861i
$979$	0.348290	+	0.201085i	0.0111314	+	0.00642671i
$980$	31.0246	+	13.3558i	0.991046	+	0.426634i
$981$	34.8372	+	11.8004i	1.11227	+	0.376757i
$982$	−14.6443	+	4.98587i	−0.467319	+	0.159105i
$983$	−5.34876	−	9.26432i	−0.170599	−	0.295486i	0.768031	−	0.640413i	$-0.221237\pi$
$983$	−5.34876	−	9.26432i	−0.170599	−	0.295486i	−0.938629	+	0.344927i	$0.887904\pi$
$984$	−47.1198	+	1.68601i	−1.50212	+	0.0537479i
$985$	−7.22132	+	12.5077i	−0.230090	+	0.398528i
$986$	38.0341	−	12.9493i	1.21125	−	0.412389i
$987$	−26.1940	+	9.63548i	−0.833765	+	0.306701i
$988$	−17.0086	+	13.1001i	−0.541115	+	0.416771i
$989$	−3.81347	+	2.20171i	−0.121261	+	0.0700102i
$990$	−0.993789	+	0.00154564i	−0.0315847	+	4.91238e-5i
$991$	7.06278	−	12.2331i	0.224357	−	0.388597i	−0.731770	−	0.681552i	$-0.761305\pi$
$991$	7.06278	−	12.2331i	0.224357	−	0.388597i	0.956126	+	0.292955i	$0.0946386\pi$
$992$	−14.4635	−	21.4355i	−0.459218	−	0.680578i
$993$	−27.2405	+	2.69190i	−0.864452	+	0.0854248i
$994$	0.172721	+	2.94691i	0.00547839	+	0.0934702i
$995$	42.3439	−	24.4472i	1.34239	−	0.775030i
$996$	−41.4608	+	38.9988i	−1.31373	+	1.23572i
$997$	43.4562	−	25.0894i	1.37627	−	0.794591i	0.384563	−	0.923099i	$-0.374352\pi$
$997$	43.4562	−	25.0894i	1.37627	−	0.794591i	0.991708	+	0.128508i	$0.0410188\pi$
$998$	−25.4601	−	22.2871i	−0.805925	−	0.705487i
$999$	0.928487	+	0.867925i	0.0293760	+	0.0274599i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	504.2.cq.a.277.7	yes	184
7.2	even	3		504.2.w.a.205.54	✓	184
8.5	even	2	inner	504.2.cq.a.277.8	yes	184
9.4	even	3		504.2.w.a.445.68	yes	184
56.37	even	6		504.2.w.a.205.68	yes	184
63.58	even	3	inner	504.2.cq.a.373.7	yes	184
72.13	even	6		504.2.w.a.445.54	yes	184
504.373	even	6	inner	504.2.cq.a.373.8	yes	184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
504.2.w.a.205.54	✓	184	7.2	even	3
504.2.w.a.205.68	yes	184	56.37	even	6
504.2.w.a.445.54	yes	184	72.13	even	6
504.2.w.a.445.68	yes	184	9.4	even	3
504.2.cq.a.277.7	yes	184	1.1	even	1	trivial
504.2.cq.a.277.8	yes	184	8.5	even	2	inner
504.2.cq.a.373.7	yes	184	63.58	even	3	inner
504.2.cq.a.373.8	yes	184	504.373	even	6	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 504 = 2^{3} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	504.cq (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.38729 - 0.274643i) q^{2} +(-0.170331 - 1.72366i) q^{3} +(1.84914 + 0.762020i) q^{4} +(-2.08943 - 1.20633i) q^{5} +(-0.237093 + 2.43799i) q^{6} +(0.664788 + 2.56087i) q^{7} +(-2.35601 - 1.56500i) q^{8} +(-2.94197 + 0.587183i) q^{9} +O(q^{10})\)	\(q+(-1.38729 - 0.274643i) q^{2} +(-0.170331 - 1.72366i) q^{3} +(1.84914 + 0.762020i) q^{4} +(-2.08943 - 1.20633i) q^{5} +(-0.237093 + 2.43799i) q^{6} +(0.664788 + 2.56087i) q^{7} +(-2.35601 - 1.56500i) q^{8} +(-2.94197 + 0.587183i) q^{9} +(2.56733 + 2.24738i) q^{10} +(0.0840799 - 0.0485436i) q^{11} +(0.998494 - 3.31708i) q^{12} +(1.25114 - 0.722344i) q^{13} +(-0.218927 - 3.73525i) q^{14} +(-1.72341 + 3.80693i) q^{15} +(2.83865 + 2.81817i) q^{16} +(-3.63348 + 6.29337i) q^{17} +(4.24264 - 0.00659859i) q^{18} +(-6.43476 + 3.71511i) q^{19} +(-2.94440 - 3.82286i) q^{20} +(4.30082 - 1.58206i) q^{21} +(-0.129975 + 0.0442520i) q^{22} +(1.36422 - 2.36290i) q^{23} +(-2.29621 + 4.32752i) q^{24} +(0.410473 + 0.710960i) q^{25} +(-1.93408 + 0.658484i) q^{26} +(1.51321 + 4.97094i) q^{27} +(-0.722146 + 5.24199i) q^{28} +(3.38573 + 1.95475i) q^{29} +(3.43641 - 4.80799i) q^{30} +4.57123 q^{31} +(-3.16404 - 4.68923i) q^{32} +(-0.0979938 - 0.136656i) q^{33} +(6.76912 - 7.73281i) q^{34} +(1.70023 - 6.15271i) q^{35} +(-5.88757 - 1.15606i) q^{36} +(0.211830 - 0.122300i) q^{37} +(9.94720 - 3.38667i) q^{38} +(-1.45818 - 2.03349i) q^{39} +(3.03481 + 6.11208i) q^{40} +(4.81222 + 8.33501i) q^{41} +(-6.40099 + 1.01358i) q^{42} +(-1.39767 - 0.806947i) q^{43} +(0.192467 - 0.0256934i) q^{44} +(6.85538 + 2.32212i) q^{45} +(-2.54152 + 2.90335i) q^{46} -6.09046 q^{47} +(4.37404 - 5.37288i) q^{48} +(-6.11611 + 3.40487i) q^{49} +(-0.374184 - 1.09904i) q^{50} +(11.4665 + 5.19091i) q^{51} +(2.86397 - 0.382326i) q^{52} +(6.46647 + 3.73342i) q^{53} +(-0.734025 - 7.31172i) q^{54} -0.234239 q^{55} +(2.44151 - 7.07383i) q^{56} +(7.49960 + 10.4585i) q^{57} +(-4.16013 - 3.64168i) q^{58} +2.90077i q^{59} +(-6.08778 + 5.72628i) q^{60} +11.4115i q^{61} +(-6.34161 - 1.25546i) q^{62} +(-3.45949 - 7.14366i) q^{63} +(3.10157 + 7.37430i) q^{64} -3.48555 q^{65} +(0.0984139 + 0.216495i) q^{66} -9.88840i q^{67} +(-11.5145 + 8.86855i) q^{68} +(-4.30519 - 1.94897i) q^{69} +(-4.04852 + 8.06863i) q^{70} -0.788945 q^{71} +(7.85026 + 3.22077i) q^{72} +(-6.26317 + 10.8481i) q^{73} +(-0.327458 + 0.111488i) q^{74} +(1.15553 - 0.828612i) q^{75} +(-14.7298 + 1.96635i) q^{76} +(0.180209 + 0.183047i) q^{77} +(1.46443 + 3.22152i) q^{78} -0.665586 q^{79} +(-2.53152 - 9.31271i) q^{80} +(8.31043 - 3.45496i) q^{81} +(-4.38678 - 12.8847i) q^{82} +(-14.2300 - 8.21571i) q^{83} +(9.15839 + 0.351858i) q^{84} +(15.1838 - 8.76636i) q^{85} +(1.71735 + 1.50333i) q^{86} +(2.79263 - 6.16879i) q^{87} +(-0.274064 - 0.0172156i) q^{88} +(2.07118 + 3.58739i) q^{89} +(-8.87264 - 5.10424i) q^{90} +(2.68157 + 2.72379i) q^{91} +(4.32321 - 3.32977i) q^{92} +(-0.778621 - 7.87922i) q^{93} +(8.44923 + 1.67271i) q^{94} +17.9266 q^{95} +(-7.54368 + 6.25243i) q^{96} +(7.01603 - 12.1521i) q^{97} +(9.41994 - 3.04379i) q^{98} +(-0.218857 + 0.192184i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 184 q - 2 q^{2} - 2 q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9}+O(q^{10}) \) 184 * q - 2 * q^2 - 2 * q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9	\( 184 q - 2 q^{2} - 2 q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9} + 2 q^{10} + 16 q^{12} - 4 q^{14} - 2 q^{15} - 2 q^{16} - 4 q^{17} - 14 q^{18} + 6 q^{20} + 2 q^{22} + 2 q^{23} + 12 q^{24} + 78 q^{25} - 4 q^{26} - 8 q^{28} - 9 q^{30} - 4 q^{31} - 2 q^{32} - 14 q^{33} - 18 q^{36} - 5 q^{38} + 4 q^{39} - 4 q^{40} - 4 q^{41} - 12 q^{42} + 17 q^{44} - 6 q^{46} - 84 q^{47} - 3 q^{48} - 2 q^{49} - 31 q^{50} + 9 q^{52} - q^{54} + 4 q^{55} - 16 q^{56} - 20 q^{57} + 5 q^{58} + 17 q^{60} + 32 q^{62} + 8 q^{63} - 8 q^{64} - 44 q^{65} - 56 q^{66} - 12 q^{68} + 5 q^{70} - 16 q^{71} + 36 q^{72} - 4 q^{73} + 19 q^{74} - 6 q^{76} - 47 q^{78} - 4 q^{79} - 11 q^{80} - 18 q^{81} - 65 q^{84} - 23 q^{86} - 14 q^{87} - 7 q^{88} + 4 q^{89} - 35 q^{90} - 48 q^{92} - 18 q^{94} - 44 q^{95} + 95 q^{96} - 4 q^{97} - 83 q^{98}+O(q^{100}) \) 184 * q - 2 * q^2 - 2 * q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9 + 2 * q^10 + 16 * q^12 - 4 * q^14 - 2 * q^15 - 2 * q^16 - 4 * q^17 - 14 * q^18 + 6 * q^20 + 2 * q^22 + 2 * q^23 + 12 * q^24 + 78 * q^25 - 4 * q^26 - 8 * q^28 - 9 * q^30 - 4 * q^31 - 2 * q^32 - 14 * q^33 - 18 * q^36 - 5 * q^38 + 4 * q^39 - 4 * q^40 - 4 * q^41 - 12 * q^42 + 17 * q^44 - 6 * q^46 - 84 * q^47 - 3 * q^48 - 2 * q^49 - 31 * q^50 + 9 * q^52 - q^54 + 4 * q^55 - 16 * q^56 - 20 * q^57 + 5 * q^58 + 17 * q^60 + 32 * q^62 + 8 * q^63 - 8 * q^64 - 44 * q^65 - 56 * q^66 - 12 * q^68 + 5 * q^70 - 16 * q^71 + 36 * q^72 - 4 * q^73 + 19 * q^74 - 6 * q^76 - 47 * q^78 - 4 * q^79 - 11 * q^80 - 18 * q^81 - 65 * q^84 - 23 * q^86 - 14 * q^87 - 7 * q^88 + 4 * q^89 - 35 * q^90 - 48 * q^92 - 18 * q^94 - 44 * q^95 + 95 * q^96 - 4 * q^97 - 83 * q^98

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