LMFDB - Embedded newform 260.2.j.a.31.19

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [260,2,Mod(31,260)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(260, base_ring=CyclotomicField(4))

chi = DirichletCharacter(H, H._module([2, 0, 3]))

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

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

chi := DirichletCharacter("260.31");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 260 = 2^{2} \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	260.j (of order $4$, 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:	$2.07611045255$
Analytic rank:	$0$
Dimension:	$56$
Relative dimension:	$28$ over $\Q(i)$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label			31.19
Character	$\chi$	$=$	260.31
Dual form			260.2.j.a.151.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.649941 + 1.25602i) q^{2} +2.18560i q^{3} +(-1.15515 + 1.63267i) q^{4} +(0.707107 - 0.707107i) q^{5} +(-2.74515 + 1.42051i) q^{6} +(-1.49904 + 1.49904i) q^{7} +(-2.80145 - 0.389750i) q^{8} -1.77684 q^{9} +O(q^{10})$	\(q+(0.649941 + 1.25602i) q^{2} +2.18560i q^{3} +(-1.15515 + 1.63267i) q^{4} +(0.707107 - 0.707107i) q^{5} +(-2.74515 + 1.42051i) q^{6} +(-1.49904 + 1.49904i) q^{7} +(-2.80145 - 0.389750i) q^{8} -1.77684 q^{9} +(1.34772 + 0.428560i) q^{10} +(-0.0831667 + 0.0831667i) q^{11} +(-3.56837 - 2.52470i) q^{12} +(2.60497 - 2.49282i) q^{13} +(-2.85711 - 0.908534i) q^{14} +(1.54545 + 1.54545i) q^{15} +(-1.33124 - 3.77198i) q^{16} +3.02124i q^{17} +(-1.15484 - 2.23173i) q^{18} +(1.25481 + 1.25481i) q^{19} +(0.337657 + 1.97129i) q^{20} +(-3.27631 - 3.27631i) q^{21} +(-0.158512 - 0.0504053i) q^{22} +7.34667 q^{23} +(0.851837 - 6.12283i) q^{24} -1.00000i q^{25} +(4.82409 + 1.65170i) q^{26} +2.67335i q^{27} +(-0.715823 - 4.17908i) q^{28} -7.94476 q^{29} +(-0.936659 + 2.94556i) q^{30} +(-4.07757 - 4.07757i) q^{31} +(3.87243 - 4.12362i) q^{32} +(-0.181769 - 0.181769i) q^{33} +(-3.79473 + 1.96363i) q^{34} +2.11997i q^{35} +(2.05252 - 2.90099i) q^{36} +(4.69361 + 4.69361i) q^{37} +(-0.760508 + 2.39161i) q^{38} +(5.44829 + 5.69341i) q^{39} +(-2.25652 + 1.70533i) q^{40} +(3.94229 - 3.94229i) q^{41} +(1.98569 - 6.24450i) q^{42} +2.47299 q^{43} +(-0.0397137 - 0.231854i) q^{44} +(-1.25641 + 1.25641i) q^{45} +(4.77490 + 9.22754i) q^{46} +(0.165476 - 0.165476i) q^{47} +(8.24402 - 2.90956i) q^{48} +2.50573i q^{49} +(1.25602 - 0.649941i) q^{50} -6.60321 q^{51} +(1.06081 + 7.13265i) q^{52} +7.50541 q^{53} +(-3.35776 + 1.73752i) q^{54} +0.117615i q^{55} +(4.78374 - 3.61524i) q^{56} +(-2.74250 + 2.74250i) q^{57} +(-5.16363 - 9.97875i) q^{58} +(-3.55627 + 3.55627i) q^{59} +(-4.30845 + 0.737983i) q^{60} +13.2240 q^{61} +(2.47132 - 7.77168i) q^{62} +(2.66356 - 2.66356i) q^{63} +(7.69619 + 2.18373i) q^{64} +(0.0793046 - 3.60468i) q^{65} +(0.110166 - 0.346444i) q^{66} +(3.33320 + 3.33320i) q^{67} +(-4.93270 - 3.48999i) q^{68} +16.0569i q^{69} +(-2.66272 + 1.37785i) q^{70} +(-8.47650 - 8.47650i) q^{71} +(4.97771 + 0.692522i) q^{72} +(-3.71867 - 3.71867i) q^{73} +(-2.84468 + 8.94581i) q^{74} +2.18560 q^{75} +(-3.49819 + 0.599195i) q^{76} -0.249341i q^{77} +(-3.60995 + 10.5435i) q^{78} -12.1516i q^{79} +(-3.60852 - 1.72586i) q^{80} -11.1734 q^{81} +(7.51383 + 2.38932i) q^{82} +(-10.5074 - 10.5074i) q^{83} +(9.13378 - 1.56450i) q^{84} +(2.13634 + 2.13634i) q^{85} +(1.60730 + 3.10612i) q^{86} -17.3641i q^{87} +(0.265401 - 0.200573i) q^{88} +(-2.86163 - 2.86163i) q^{89} +(-2.39467 - 0.761480i) q^{90} +(-0.168123 + 7.64181i) q^{91} +(-8.48653 + 11.9947i) q^{92} +(8.91193 - 8.91193i) q^{93} +(0.315390 + 0.100291i) q^{94} +1.77457 q^{95} +(9.01258 + 8.46358i) q^{96} +(5.36206 - 5.36206i) q^{97} +(-3.14724 + 1.62858i) q^{98} +(0.147774 - 0.147774i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 56 q - 12 q^{6} + 12 q^{8} - 56 q^{9}+O(q^{10}) $ 56 * q - 12 * q^6 + 12 * q^8 - 56 * q^9	$ 56 q - 12 q^{6} + 12 q^{8} - 56 q^{9} + 16 q^{14} - 12 q^{18} - 8 q^{20} - 16 q^{21} - 40 q^{24} - 16 q^{26} - 44 q^{28} + 40 q^{32} - 4 q^{34} + 16 q^{37} + 8 q^{41} + 8 q^{42} + 28 q^{44} - 12 q^{46} + 104 q^{48} + 56 q^{52} - 16 q^{53} + 20 q^{54} - 48 q^{57} - 4 q^{58} + 16 q^{61} - 8 q^{65} + 64 q^{66} + 24 q^{68} - 8 q^{70} - 32 q^{72} + 48 q^{73} - 136 q^{74} - 88 q^{76} + 52 q^{78} - 32 q^{80} + 56 q^{81} - 20 q^{84} - 64 q^{86} - 8 q^{89} - 88 q^{92} - 48 q^{93} - 16 q^{94} - 4 q^{96} - 32 q^{97} + 16 q^{98}+O(q^{100}) $ 56 * q - 12 * q^6 + 12 * q^8 - 56 * q^9 + 16 * q^14 - 12 * q^18 - 8 * q^20 - 16 * q^21 - 40 * q^24 - 16 * q^26 - 44 * q^28 + 40 * q^32 - 4 * q^34 + 16 * q^37 + 8 * q^41 + 8 * q^42 + 28 * q^44 - 12 * q^46 + 104 * q^48 + 56 * q^52 - 16 * q^53 + 20 * q^54 - 48 * q^57 - 4 * q^58 + 16 * q^61 - 8 * q^65 + 64 * q^66 + 24 * q^68 - 8 * q^70 - 32 * q^72 + 48 * q^73 - 136 * q^74 - 88 * q^76 + 52 * q^78 - 32 * q^80 + 56 * q^81 - 20 * q^84 - 64 * q^86 - 8 * q^89 - 88 * q^92 - 48 * q^93 - 16 * q^94 - 4 * q^96 - 32 * q^97 + 16 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/260\mathbb{Z}\right)^\times$.

$n$	$41$	$131$	$157$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$-1$	$1$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.649941	+	1.25602i	0.459578	+	0.888138i
$2$	0.649941	+	1.25602i	0.459578	+	0.888138i
$3$			2.18560i			1.26186i	0.775842	+	0.630928i	$0.217326\pi$
$3$			2.18560i			1.26186i	−0.775842	+	0.630928i	$0.782674\pi$
$4$	−1.15515	+	1.63267i	−0.577577	+	0.816336i
$5$	0.707107	−	0.707107i	0.316228	−	0.316228i
$5$	0.707107	−	0.707107i	0.316228	−	0.316228i
$6$	−2.74515	+	1.42051i	−1.12070	+	0.579921i
$7$	−1.49904	+	1.49904i	−0.566586	+	0.566586i	−0.931170	−	0.364585i	$-0.881211\pi$
$7$	−1.49904	+	1.49904i	−0.566586	+	0.566586i	0.364585	+	0.931170i	$0.381211\pi$
$8$	−2.80145	−	0.389750i	−0.990460	−	0.137797i
$9$	−1.77684			−0.592278
$10$	1.34772	+	0.428560i	0.426185	+	0.135523i
$11$	−0.0831667	+	0.0831667i	−0.0250757	+	0.0250757i	−0.719533	−	0.694458i	$-0.755644\pi$
$11$	−0.0831667	+	0.0831667i	−0.0250757	+	0.0250757i	0.694458	+	0.719533i	$0.255644\pi$
$12$	−3.56837	−	2.52470i	−1.03010	−	0.728818i
$13$	2.60497	−	2.49282i	0.722489	−	0.691383i
$13$	2.60497	−	2.49282i	0.722489	−	0.691383i
$14$	−2.85711	−	0.908534i	−0.763596	−	0.242816i
$15$	1.54545	+	1.54545i	0.399034	+	0.399034i
$16$	−1.33124	−	3.77198i	−0.332810	−	0.942994i
$17$			3.02124i			0.732758i	0.930466	+	0.366379i	$0.119403\pi$
$17$			3.02124i			0.732758i	−0.930466	+	0.366379i	$0.880597\pi$
$18$	−1.15484	−	2.23173i	−0.272198	−	0.526025i
$19$	1.25481	+	1.25481i	0.287873	+	0.287873i	0.836238	−	0.548366i	$-0.184750\pi$
$19$	1.25481	+	1.25481i	0.287873	+	0.287873i	−0.548366	+	0.836238i	$0.684750\pi$
$20$	0.337657	+	1.97129i	0.0755025	+	0.440794i
$21$	−3.27631	−	3.27631i	−0.714949	−	0.714949i
$22$	−0.158512	−	0.0504053i	−0.0337949	−	0.0107464i
$23$	7.34667			1.53189			0.765943	−	0.642908i	$-0.222272\pi$
$23$	7.34667			1.53189			0.765943	+	0.642908i	$0.222272\pi$
$24$	0.851837	−	6.12283i	0.173880	−	1.24982i
$25$		−	1.00000i		−	0.200000i
$26$	4.82409	+	1.65170i	0.946083	+	0.323925i
$27$			2.67335i			0.514485i
$28$	−0.715823	−	4.17908i	−0.135278	−	0.789771i
$29$	−7.94476			−1.47531			−0.737653	−	0.675180i	$-0.764066\pi$
$29$	−7.94476			−1.47531			−0.737653	+	0.675180i	$0.764066\pi$
$30$	−0.936659	+	2.94556i	−0.171010	+	0.537784i
$31$	−4.07757	−	4.07757i	−0.732354	−	0.732354i	0.238732	−	0.971086i	$-0.423268\pi$
$31$	−4.07757	−	4.07757i	−0.732354	−	0.732354i	−0.971086	+	0.238732i	$0.923268\pi$
$32$	3.87243	−	4.12362i	0.684556	−	0.728960i
$33$	−0.181769	−	0.181769i	−0.0316419	−	0.0316419i
$34$	−3.79473	+	1.96363i	−0.650790	+	0.336759i
$35$			2.11997i			0.358340i
$36$	2.05252	−	2.90099i	0.342086	−	0.483499i
$37$	4.69361	+	4.69361i	0.771624	+	0.771624i	0.978390	−	0.206766i	$-0.0662939\pi$
$37$	4.69361	+	4.69361i	0.771624	+	0.771624i	−0.206766	+	0.978390i	$0.566294\pi$
$38$	−0.760508	+	2.39161i	−0.123371	+	0.387970i
$39$	5.44829	+	5.69341i	0.872425	+	0.911676i
$40$	−2.25652	+	1.70533i	−0.356786	+	0.269636i
$41$	3.94229	−	3.94229i	0.615682	−	0.615682i	−0.328739	−	0.944421i	$-0.606624\pi$
$41$	3.94229	−	3.94229i	0.615682	−	0.615682i	0.944421	+	0.328739i	$0.106624\pi$
$42$	1.98569	−	6.24450i	0.306398	−	0.963548i
$43$	2.47299			0.377127			0.188564	−	0.982061i	$-0.439617\pi$
$43$	2.47299			0.377127			0.188564	+	0.982061i	$0.439617\pi$
$44$	−0.0397137	−	0.231854i	−0.00598707	−	0.0349534i
$45$	−1.25641	+	1.25641i	−0.187295	+	0.187295i
$46$	4.77490	+	9.22754i	0.704021	+	1.36053i
$47$	0.165476	−	0.165476i	0.0241372	−	0.0241372i	−0.694935	−	0.719072i	$-0.744567\pi$
$47$	0.165476	−	0.165476i	0.0241372	−	0.0241372i	0.719072	+	0.694935i	$0.244567\pi$
$48$	8.24402	−	2.90956i	1.18992	−	0.419959i
$49$			2.50573i			0.357962i
$50$	1.25602	−	0.649941i	0.177628	−	0.0919155i
$51$	−6.60321			−0.924635
$52$	1.06081	+	7.13265i	0.147108	+	0.989120i
$53$	7.50541			1.03095			0.515474	−	0.856906i	$-0.327616\pi$
$53$	7.50541			1.03095			0.515474	+	0.856906i	$0.327616\pi$
$54$	−3.35776	+	1.73752i	−0.456934	+	0.236446i
$55$			0.117615i			0.0158593i
$56$	4.78374	−	3.61524i	0.639255	−	0.483106i
$57$	−2.74250	+	2.74250i	−0.363254	+	0.363254i
$58$	−5.16363	−	9.97875i	−0.678018	−	1.31027i
$59$	−3.55627	+	3.55627i	−0.462986	+	0.462986i	−0.899633	−	0.436647i	$-0.856166\pi$
$59$	−3.55627	+	3.55627i	−0.462986	+	0.462986i	0.436647	+	0.899633i	$0.356166\pi$
$60$	−4.30845	+	0.737983i	−0.556218	+	0.0952732i
$61$	13.2240			1.69315			0.846577	−	0.532267i	$-0.178660\pi$
$61$	13.2240			1.69315			0.846577	+	0.532267i	$0.178660\pi$
$62$	2.47132	−	7.77168i	0.313857	−	0.987004i
$63$	2.66356	−	2.66356i	0.335576	−	0.335576i
$64$	7.69619	+	2.18373i	0.962024	+	0.272966i
$65$	0.0793046	−	3.60468i	0.00983653	−	0.447105i
$66$	0.110166	−	0.346444i	0.0135605	−	0.0426443i
$67$	3.33320	+	3.33320i	0.407216	+	0.407216i	0.880766	−	0.473551i	$-0.157028\pi$
$67$	3.33320	+	3.33320i	0.407216	+	0.407216i	−0.473551	+	0.880766i	$0.657028\pi$
$68$	−4.93270	−	3.48999i	−0.598177	−	0.423224i
$69$			16.0569i			1.93302i
$70$	−2.66272	+	1.37785i	−0.318255	+	0.164685i
$71$	−8.47650	−	8.47650i	−1.00598	−	1.00598i	−0.999982	−	0.00599359i	$-0.998092\pi$
$71$	−8.47650	−	8.47650i	−1.00598	−	1.00598i	−0.00599359	−	0.999982i	$-0.501908\pi$
$72$	4.97771	+	0.692522i	0.586628	+	0.0816145i
$73$	−3.71867	−	3.71867i	−0.435238	−	0.435238i	0.455168	−	0.890406i	$-0.349579\pi$
$73$	−3.71867	−	3.71867i	−0.435238	−	0.435238i	−0.890406	+	0.455168i	$0.849579\pi$
$74$	−2.84468	+	8.94581i	−0.330687	+	1.03993i
$75$	2.18560			0.252371
$76$	−3.49819	+	0.599195i	−0.401269	+	0.0687324i
$77$		−	0.249341i		−	0.0284151i
$78$	−3.60995	+	10.5435i	−0.408747	+	1.19382i
$79$		−	12.1516i		−	1.36717i	−0.729873	−	0.683583i	$-0.760421\pi$
$79$		−	12.1516i		−	1.36717i	0.729873	−	0.683583i	$-0.239579\pi$
$80$	−3.60852	−	1.72586i	−0.403445	−	0.192957i
$81$	−11.1734			−1.24148
$82$	7.51383	+	2.38932i	0.829764	+	0.263857i
$83$	−10.5074	−	10.5074i	−1.15334	−	1.15334i	−0.985879	−	0.167457i	$-0.946444\pi$
$83$	−10.5074	−	10.5074i	−1.15334	−	1.15334i	−0.167457	−	0.985879i	$-0.553556\pi$
$84$	9.13378	−	1.56450i	0.996577	−	0.170701i
$85$	2.13634	+	2.13634i	0.231718	+	0.231718i
$86$	1.60730	+	3.10612i	0.173319	+	0.334941i
$87$		−	17.3641i		−	1.86162i
$88$	0.265401	−	0.200573i	0.0282919	−	0.0213811i
$89$	−2.86163	−	2.86163i	−0.303332	−	0.303332i	0.538984	−	0.842316i	$-0.318808\pi$
$89$	−2.86163	−	2.86163i	−0.303332	−	0.303332i	−0.842316	+	0.538984i	$0.818808\pi$
$90$	−2.39467	−	0.761480i	−0.252420	−	0.0802671i
$91$	−0.168123	+	7.64181i	−0.0176241	+	0.801079i
$92$	−8.48653	+	11.9947i	−0.884782	+	1.25054i
$93$	8.91193	−	8.91193i	0.924124	−	0.924124i
$94$	0.315390	+	0.100291i	0.0325300	+	0.0103442i
$95$	1.77457			0.182067
$96$	9.01258	+	8.46358i	0.919842	+	0.863810i
$97$	5.36206	−	5.36206i	0.544435	−	0.544435i	−0.380391	−	0.924826i	$-0.624211\pi$
$97$	5.36206	−	5.36206i	0.544435	−	0.544435i	0.924826	+	0.380391i	$0.124211\pi$
$98$	−3.14724	+	1.62858i	−0.317919	+	0.164511i
$99$	0.147774	−	0.147774i	0.0148518	−	0.0148518i
$100$	1.63267	+	1.15515i	0.163267	+	0.115515i
$101$		−	5.12641i		−	0.510097i	−0.966928	−	0.255048i	$-0.917909\pi$
$101$		−	5.12641i		−	0.510097i	0.966928	−	0.255048i	$-0.0820914\pi$
$102$	−4.29170	−	8.29374i	−0.424941	−	0.821203i
$103$	10.5523			1.03975			0.519874	−	0.854243i	$-0.325979\pi$
$103$	10.5523			1.03975			0.519874	+	0.854243i	$0.325979\pi$
$104$	−8.26926	+	5.96820i	−0.810867	+	0.585230i
$105$	−4.63340			−0.452173
$106$	4.87807	+	9.42691i	0.473800	+	0.915623i
$107$			0.292020i			0.0282306i	0.999900	+	0.0141153i	$0.00449319\pi$
$107$			0.292020i			0.0282306i	−0.999900	+	0.0141153i	$0.995507\pi$
$108$	−4.36470	−	3.08812i	−0.419993	−	0.297155i
$109$	7.88555	−	7.88555i	0.755299	−	0.755299i	−0.220164	−	0.975463i	$-0.570659\pi$
$109$	7.88555	−	7.88555i	0.755299	−	0.755299i	0.975463	+	0.220164i	$0.0706593\pi$
$110$	−0.147727	+	0.0764431i	−0.0140852	+	0.00728857i
$111$	−10.2583	+	10.2583i	−0.973678	+	0.973678i
$112$	7.64995	+	3.65877i	0.722852	+	0.345721i
$113$	−13.6032			−1.27968			−0.639841	−	0.768508i	$-0.721000\pi$
$113$	−13.6032			−1.27968			−0.639841	+	0.768508i	$0.721000\pi$
$114$	−5.22710	−	1.66216i	−0.489562	−	0.155676i
$115$	5.19488	−	5.19488i	0.484425	−	0.484425i
$116$	9.17742	−	12.9712i	0.852102	−	1.20435i
$117$	−4.62860	+	4.42932i	−0.427914	+	0.409491i
$118$	−6.77809	−	2.15536i	−0.623974	−	0.198417i
$119$	−4.52897	−	4.52897i	−0.415170	−	0.415170i
$120$	−3.72716	−	4.93183i	−0.340241	−	0.450213i
$121$			10.9862i			0.998742i
$122$	8.59479	+	16.6095i	0.778136	+	1.50375i
$123$	8.61626	+	8.61626i	0.776902	+	0.776902i
$124$	11.3676	−	1.94712i	1.02084	−	0.174857i
$125$	−0.707107	−	0.707107i	−0.0632456	−	0.0632456i
$126$	5.07662	+	1.61431i	0.452261	+	0.143815i
$127$	−21.8439			−1.93833			−0.969166	−	0.246409i	$-0.920749\pi$
$127$	−21.8439			−1.93833			−0.969166	+	0.246409i	$0.920749\pi$
$128$	2.25927	+	11.0858i	0.199693	+	0.979858i
$129$			5.40496i			0.475880i
$130$	4.57908	−	2.24322i	0.401612	−	0.196743i
$131$		−	6.24116i		−	0.545293i	−0.962114	−	0.272647i	$-0.912101\pi$
$131$		−	6.24116i		−	0.545293i	0.962114	−	0.272647i	$-0.0878989\pi$
$132$	0.506740	−	0.0867982i	0.0441061	−	0.00755482i
$133$	−3.76202			−0.326209
$134$	−2.02017	+	6.35294i	−0.174516	+	0.548811i
$135$	1.89034	+	1.89034i	0.162695	+	0.162695i
$136$	1.17753	−	8.46384i	0.100972	−	0.725768i
$137$	−12.3218	−	12.3218i	−1.05273	−	1.05273i	−0.998530	−	0.0541952i	$-0.982741\pi$
$137$	−12.3218	−	12.3218i	−1.05273	−	1.05273i	−0.0541952	−	0.998530i	$-0.517259\pi$
$138$	−20.1677	+	10.4360i	−1.71679	+	0.888373i
$139$			6.02025i			0.510631i	0.966858	+	0.255316i	$0.0821794\pi$
$139$			6.02025i			0.510631i	−0.966858	+	0.255316i	$0.917821\pi$
$140$	−3.46122	−	2.44889i	−0.292526	−	0.206969i
$141$	0.361664	+	0.361664i	0.0304576	+	0.0304576i
$142$	5.13740	−	16.1558i	0.431121	−	1.35577i
$143$	−0.00932745	+	0.423966i	−0.000780001	+	0.0354538i
$144$	2.36540	+	6.70218i	0.197116	+	0.558515i
$145$	−5.61780	+	5.61780i	−0.466533	+	0.466533i
$146$	2.25380	−	7.08763i	0.186525	−	0.586577i
$147$	−5.47652			−0.451696
$148$	−13.0850	+	2.24129i	−1.07558	+	0.184233i
$149$	2.35159	−	2.35159i	0.192650	−	0.192650i	−0.604190	−	0.796840i	$-0.706503\pi$
$149$	2.35159	−	2.35159i	0.192650	−	0.192650i	0.796840	+	0.604190i	$0.206503\pi$
$150$	1.42051	+	2.74515i	0.115984	+	0.224140i
$151$	9.05554	−	9.05554i	0.736930	−	0.736930i	−0.235053	−	0.971983i	$-0.575526\pi$
$151$	9.05554	−	9.05554i	0.736930	−	0.736930i	0.971983	+	0.235053i	$0.0755264\pi$
$152$	−3.02621	−	4.00434i	−0.245458	−	0.324795i
$153$		−	5.36825i		−	0.433997i
$154$	0.313177	−	0.162057i	0.0252365	−	0.0130589i
$155$	−5.76656			−0.463181
$156$	−15.5891	+	2.31851i	−1.24813	+	0.185630i
$157$	−8.18642			−0.653348			−0.326674	−	0.945137i	$-0.605928\pi$
$157$	−8.18642			−0.653348			−0.326674	+	0.945137i	$0.605928\pi$
$158$	15.2626	−	7.89784i	1.21423	−	0.628319i
$159$			16.4038i			1.30091i
$160$	−0.177618	−	5.65407i	−0.0140419	−	0.446993i
$161$	−11.0130	+	11.0130i	−0.867945	+	0.867945i
$162$	−7.26203	−	14.0339i	−0.570559	−	1.10261i
$163$	5.41771	−	5.41771i	0.424347	−	0.424347i	−0.462350	−	0.886697i	$-0.652994\pi$
$163$	5.41771	−	5.41771i	0.424347	−	0.424347i	0.886697	+	0.462350i	$0.152994\pi$
$164$	1.88252	+	10.9904i	0.147000	+	0.858207i
$165$	−0.257060			−0.0200121
$166$	6.36827	−	20.0267i	0.494274	−	1.55437i
$167$	4.56879	−	4.56879i	0.353543	−	0.353543i	−0.507883	−	0.861426i	$-0.669572\pi$
$167$	4.56879	−	4.56879i	0.353543	−	0.353543i	0.861426	+	0.507883i	$0.169572\pi$
$168$	7.90145	+	10.4553i	0.609610	+	0.806647i
$169$	0.571735	−	12.9874i	0.0439797	−	0.999032i
$170$	−1.29478	+	4.07177i	−0.0993052	+	0.312291i
$171$	−2.22959	−	2.22959i	−0.170501	−	0.170501i
$172$	−2.85668	+	4.03758i	−0.217820	+	0.307863i
$173$			21.2074i			1.61237i	0.591663	+	0.806185i	$0.298472\pi$
$173$			21.2074i			1.61237i	−0.591663	+	0.806185i	$0.701528\pi$
$174$	21.8095	−	11.2856i	1.65338	−	0.855560i
$175$	1.49904	+	1.49904i	0.113317	+	0.113317i
$176$	0.424418	+	0.202988i	0.0319917	+	0.0153008i
$177$	−7.77257	−	7.77257i	−0.584222	−	0.584222i
$178$	1.73436	−	5.45415i	0.129996	−	0.408806i
$179$	−18.1420			−1.35600			−0.677999	−	0.735063i	$-0.737153\pi$
$179$	−18.1420			−1.35600			−0.677999	+	0.735063i	$0.737153\pi$
$180$	−0.599962	−	3.50266i	−0.0447185	−	0.261073i
$181$			22.9866i			1.70858i	0.519797	+	0.854290i	$0.326008\pi$
$181$			22.9866i			1.70858i	−0.519797	+	0.854290i	$0.673992\pi$
$182$	−9.70750	+	4.75556i	−0.719568	+	0.352505i
$183$			28.9022i			2.13651i
$184$	−20.5813	−	2.86337i	−1.51727	−	0.211090i
$185$	6.63776			0.488018
$186$	16.9858	+	5.40130i	1.24546	+	0.396043i
$187$	−0.251266	−	0.251266i	−0.0183744	−	0.0183744i
$188$	0.0790181	+	0.461319i	0.00576299	+	0.0336451i
$189$	−4.00746	−	4.00746i	−0.291500	−	0.291500i
$190$	1.15336	+	2.22888i	0.0836738	+	0.161700i
$191$		−	21.4786i		−	1.55414i	−0.629415	−	0.777069i	$-0.716706\pi$
$191$		−	21.4786i		−	1.55414i	0.629415	−	0.777069i	$-0.283294\pi$
$192$	−4.77275	+	16.8208i	−0.344443	+	1.21393i
$193$	8.27842	+	8.27842i	0.595894	+	0.595894i	0.939217	−	0.343323i	$-0.111553\pi$
$193$	8.27842	+	8.27842i	0.595894	+	0.595894i	−0.343323	+	0.939217i	$0.611553\pi$
$194$	10.2199	+	3.24981i	0.733743	+	0.233323i
$195$	7.87838	+	0.173328i	0.564182	+	0.0124123i
$196$	−4.09104	−	2.89450i	−0.292217	−	0.206750i
$197$	2.23767	−	2.23767i	0.159427	−	0.159427i	−0.622886	−	0.782313i	$-0.714040\pi$
$197$	2.23767	−	2.23767i	0.159427	−	0.159427i	0.782313	+	0.622886i	$0.214040\pi$
$198$	0.281650	+	0.0895619i	0.0200160	+	0.00636488i
$199$	11.7518			0.833060			0.416530	−	0.909122i	$-0.363246\pi$
$199$	11.7518			0.833060			0.416530	+	0.909122i	$0.363246\pi$
$200$	−0.389750	+	2.80145i	−0.0275595	+	0.198092i
$201$	−7.28504	+	7.28504i	−0.513847	+	0.513847i
$202$	6.43885	−	3.33186i	0.453036	−	0.234429i
$203$	11.9096	−	11.9096i	0.835887	−	0.835887i
$204$	7.62772	−	10.7809i	0.534047	−	0.754813i
$205$		−	5.57524i		−	0.389392i
$206$	6.85836	+	13.2538i	0.477845	+	0.923439i
$207$	−13.0538			−0.907304
$208$	−12.8707	−	6.50734i	−0.892421	−	0.451203i
$209$	−0.208716			−0.0144372
$210$	−3.01144	−	5.81962i	−0.207809	−	0.401592i
$211$			17.4780i			1.20323i	0.798786	+	0.601616i	$0.205476\pi$
$211$			17.4780i			1.20323i	−0.798786	+	0.601616i	$0.794524\pi$
$212$	−8.66990	+	12.2539i	−0.595451	+	0.841600i
$213$	18.5262	−	18.5262i	1.26940	−	1.26940i
$214$	−0.366782	+	0.189796i	−0.0250727	+	0.0129742i
$215$	1.74867	−	1.74867i	0.119258	−	0.119258i
$216$	1.04194	−	7.48923i	0.0708948	−	0.509578i
$217$	12.2249			0.829882
$218$	15.0295	+	4.77924i	1.01793	+	0.323691i
$219$	8.12752	−	8.12752i	0.549207	−	0.549207i
$220$	−0.192028	−	0.135864i	−0.0129465	−	0.00915994i
$221$	7.53139	+	7.87024i	0.506616	+	0.529409i
$222$	−19.5519	−	6.21732i	−1.31224	−	0.417279i
$223$	13.4895	+	13.4895i	0.903324	+	0.903324i	0.995722	−	0.0923986i	$-0.0294534\pi$
$223$	13.4895	+	13.4895i	0.903324	+	0.903324i	−0.0923986	+	0.995722i	$0.529453\pi$
$224$	0.376544	+	11.9864i	0.0251589	+	0.800878i
$225$			1.77684i			0.118456i
$226$	−8.84128	−	17.0858i	−0.588113	−	1.13653i
$227$	7.89119	+	7.89119i	0.523757	+	0.523757i	0.918704	−	0.394947i	$-0.129237\pi$
$227$	7.89119	+	7.89119i	0.523757	+	0.523757i	−0.394947	+	0.918704i	$0.629237\pi$
$228$	−1.30960	−	7.64562i	−0.0867303	−	0.506344i
$229$	0.106214	+	0.106214i	0.00701884	+	0.00701884i	0.710607	−	0.703589i	$-0.248420\pi$
$229$	0.106214	+	0.106214i	0.00701884	+	0.00701884i	−0.703589	+	0.710607i	$0.748420\pi$
$230$	9.90122	+	3.14849i	0.652867	+	0.207605i
$231$	0.544959			0.0358557
$232$	22.2568	+	3.09647i	1.46123	+	0.203293i
$233$		−	11.1156i		−	0.728206i	−0.931359	−	0.364103i	$-0.881376\pi$
$233$		−	11.1156i		−	0.728206i	0.931359	−	0.364103i	$-0.118624\pi$
$234$	−8.57162	−	2.93480i	−0.560344	−	0.191854i
$235$		−	0.234019i		−	0.0152657i
$236$	−1.69819	−	9.91425i	−0.110543	−	0.645363i
$237$	26.5586			1.72516
$238$	2.74490	−	8.63203i	0.177925	−	0.559531i
$239$	−15.1492	−	15.1492i	−0.979920	−	0.979920i	0.0198828	−	0.999802i	$-0.493671\pi$
$239$	−15.1492	−	15.1492i	−0.979920	−	0.979920i	−0.999802	+	0.0198828i	$0.993671\pi$
$240$	3.77203	−	7.88677i	0.243484	−	0.509089i
$241$	−7.76872	−	7.76872i	−0.500427	−	0.500427i	0.411143	−	0.911571i	$-0.365130\pi$
$241$	−7.76872	−	7.76872i	−0.500427	−	0.500427i	−0.911571	+	0.411143i	$0.865130\pi$
$242$	−13.7988	+	7.14036i	−0.887021	+	0.459000i
$243$		−	16.4004i		−	1.05209i
$244$	−15.2757	+	21.5904i	−0.977926	+	1.38218i
$245$	1.77182	+	1.77182i	0.113197	+	0.113197i
$246$	−5.22210	+	16.4222i	−0.332949	+	1.04704i
$247$	6.39674	+	0.140731i	0.407015	+	0.00895452i
$248$	9.83386	+	13.0123i	0.624451	+	0.826284i
$249$	22.9649	−	22.9649i	1.45534	−	1.45534i
$250$	0.428560	−	1.34772i	0.0271045	−	0.0852370i
$251$	−4.10588			−0.259161			−0.129580	−	0.991569i	$-0.541363\pi$
$251$	−4.10588			−0.259161			−0.129580	+	0.991569i	$0.541363\pi$
$252$	1.27190	+	7.42553i	0.0801222	+	0.467764i
$253$	−0.610998	+	0.610998i	−0.0384131	+	0.0384131i
$254$	−14.1972	−	27.4363i	−0.890814	−	1.72151i
$255$	−4.66918	+	4.66918i	−0.292395	+	0.292395i
$256$	−12.4556	+	10.0428i	−0.778474	+	0.627676i
$257$			19.8973i			1.24116i	0.784143	+	0.620580i	$0.213103\pi$
$257$			19.8973i			1.24116i	−0.784143	+	0.620580i	$0.786897\pi$
$258$	−6.78872	+	3.51291i	−0.422647	+	0.218704i
$259$	−14.0719			−0.874382
$260$	5.79365	+	4.29344i	0.359307	+	0.266268i
$261$	14.1165			0.873792
$262$	7.83900	−	4.05639i	0.484295	−	0.250605i
$263$			30.3772i			1.87314i	0.350482	+	0.936569i	$0.386018\pi$
$263$			30.3772i			1.87314i	−0.350482	+	0.936569i	$0.613982\pi$
$264$	0.438371	+	0.580060i	0.0269799	+	0.0357002i
$265$	5.30712	−	5.30712i	0.326014	−	0.326014i
$266$	−2.44509	−	4.72516i	−0.149918	−	0.289718i
$267$	6.25438	−	6.25438i	0.382762	−	0.382762i
$268$	−9.29239	+	1.59167i	−0.567623	+	0.0972267i
$269$	10.0970			0.615627			0.307813	−	0.951447i	$-0.400403\pi$
$269$	10.0970			0.615627			0.307813	+	0.951447i	$0.400403\pi$
$270$	−1.14569	+	3.60291i	−0.0697244	+	0.219266i
$271$	−6.39832	+	6.39832i	−0.388670	+	0.388670i	−0.874213	−	0.485543i	$-0.838622\pi$
$271$	−6.39832	+	6.39832i	−0.388670	+	0.388670i	0.485543	+	0.874213i	$0.338622\pi$
$272$	11.3960	−	4.02200i	0.690986	−	0.243870i
$273$	−16.7019	−	0.367450i	−1.01085	−	0.0222391i
$274$	7.46796	−	23.4849i	0.451156	−	1.41877i
$275$	0.0831667	+	0.0831667i	0.00501514	+	0.00501514i
$276$	−26.2156	−	18.5481i	−1.57799	−	1.11647i
$277$		−	25.3158i		−	1.52108i	−0.649291	−	0.760540i	$-0.724934\pi$
$277$		−	25.3158i		−	1.52108i	0.649291	−	0.760540i	$-0.275066\pi$
$278$	−7.56154	+	3.91281i	−0.453511	+	0.234675i
$279$	7.24518	+	7.24518i	0.433757	+	0.433757i
$280$	0.826258	−	5.93898i	0.0493784	−	0.354922i
$281$	−10.2888	−	10.2888i	−0.613780	−	0.613780i	0.330149	−	0.943929i	$-0.392901\pi$
$281$	−10.2888	−	10.2888i	−0.613780	−	0.613780i	−0.943929	+	0.330149i	$0.892901\pi$
$282$	−0.219196	+	0.689316i	−0.0130529	+	0.0410482i
$283$	−1.52496			−0.0906493			−0.0453246	−	0.998972i	$-0.514432\pi$
$283$	−1.52496			−0.0906493			−0.0453246	+	0.998972i	$0.514432\pi$
$284$	23.6310	−	4.04770i	1.40224	−	0.240187i
$285$			3.87849i			0.229742i
$286$	−0.538570	+	0.263837i	−0.0318463	+	0.0156010i
$287$			11.8193i			0.697673i
$288$	−6.88068	+	7.32700i	−0.405448	+	0.431748i
$289$	7.87211			0.463065
$290$	−10.7073	−	3.40481i	−0.628753	−	0.199937i
$291$	11.7193	+	11.7193i	0.686998	+	0.686998i
$292$	10.3670	−	1.77574i	0.606684	−	0.103917i
$293$	13.1543	+	13.1543i	0.768481	+	0.768481i	0.977839	−	0.209358i	$-0.0671375\pi$
$293$	13.1543	+	13.1543i	0.768481	+	0.768481i	−0.209358	+	0.977839i	$0.567137\pi$
$294$	−3.55942	−	6.87860i	−0.207589	−	0.401168i
$295$			5.02932i			0.292818i
$296$	−11.3195	−	14.9782i	−0.657935	−	0.870591i
$297$	−0.222333	−	0.222333i	−0.0129011	−	0.0129011i
$298$	4.48204	+	1.42524i	0.259638	+	0.0825621i
$299$	19.1379	−	18.3139i	1.10677	−	1.05912i
$300$	−2.52470	+	3.56837i	−0.145764	+	0.206020i
$301$	−3.70712	+	3.70712i	−0.213675	+	0.213675i
$302$	17.2595	+	5.48834i	0.993171	+	0.315818i
$303$	11.2043			0.643668
$304$	3.06265	−	6.40355i	0.175655	−	0.367269i
$305$	9.35075	−	9.35075i	0.535422	−	0.535422i
$306$	6.74260	−	3.48904i	0.385449	−	0.199455i
$307$	7.15932	−	7.15932i	0.408604	−	0.408604i	−0.472648	−	0.881251i	$-0.656702\pi$
$307$	7.15932	−	7.15932i	0.408604	−	0.408604i	0.881251	+	0.472648i	$0.156702\pi$
$308$	0.407093	+	0.288027i	0.0231963	+	0.0164119i
$309$			23.0630i			1.31201i
$310$	−3.74792	−	7.24289i	−0.212868	−	0.411369i
$311$	−0.716737			−0.0406424			−0.0203212	−	0.999794i	$-0.506469\pi$
$311$	−0.716737			−0.0406424			−0.0203212	+	0.999794i	$0.506469\pi$
$312$	−13.0441	−	18.0733i	−0.738476	−	1.02320i
$313$	−21.2828			−1.20297			−0.601487	−	0.798882i	$-0.705425\pi$
$313$	−21.2828			−1.20297			−0.601487	+	0.798882i	$0.705425\pi$
$314$	−5.32069	−	10.2823i	−0.300264	−	0.580263i
$315$		−	3.76684i		−	0.212237i
$316$	19.8396	+	14.0370i	1.11607	+	0.789643i
$317$	−9.96115	+	9.96115i	−0.559474	+	0.559474i	−0.929158	−	0.369684i	$-0.879466\pi$
$317$	−9.96115	+	9.96115i	−0.559474	+	0.559474i	0.369684	+	0.929158i	$0.379466\pi$
$318$	−20.6034	+	10.6615i	−1.15538	+	0.597867i
$319$	0.660740	−	0.660740i	0.0369943	−	0.0369943i
$320$	6.98616	−	3.89790i	0.390538	−	0.217899i
$321$	−0.638238			−0.0356230
$322$	−20.9903	−	6.67470i	−1.16974	−	0.371966i
$323$	−3.79107	+	3.79107i	−0.210941	+	0.210941i
$324$	12.9069	−	18.2424i	0.717053	−	1.01347i
$325$	−2.49282	−	2.60497i	−0.138277	−	0.144498i
$326$	10.3259	+	3.28354i	0.571900	+	0.181858i
$327$	17.2346	+	17.2346i	0.953078	+	0.953078i
$328$	−12.5806	+	9.50760i	−0.694648	+	0.524969i
$329$			0.496112i			0.0273515i
$330$	−0.167074	−	0.322872i	−0.00919711	−	0.0177735i
$331$	11.3016	+	11.3016i	0.621193	+	0.621193i	0.945837	−	0.324643i	$-0.105244\pi$
$331$	11.3016	+	11.3016i	0.621193	+	0.621193i	−0.324643	+	0.945837i	$0.605244\pi$
$332$	29.2928	−	5.01749i	1.60765	−	0.275370i
$333$	−8.33977	−	8.33977i	−0.457016	−	0.457016i
$334$	8.70791	+	2.76903i	0.476476	+	0.151515i
$335$	4.71386			0.257546
$336$	−7.99659	+	16.7197i	−0.436250	+	0.912135i
$337$		−	2.51679i		−	0.137098i	−0.997648	−	0.0685492i	$-0.978163\pi$
$337$		−	2.51679i		−	0.137098i	0.997648	−	0.0685492i	$-0.0218370\pi$
$338$	16.6840	−	7.72295i	0.907490	−	0.420073i
$339$		−	29.7311i		−	1.61477i
$340$	−5.95574	+	1.02014i	−0.322995	+	0.0553251i
$341$	0.678237			0.0367286
$342$	1.35130	−	4.24950i	0.0730698	−	0.229786i
$343$	−14.2495	−	14.2495i	−0.769401	−	0.769401i
$344$	−6.92795	−	0.963848i	−0.373530	−	0.0519672i
$345$	11.3539	+	11.3539i	0.611274	+	0.611274i
$346$	−26.6369	+	13.7836i	−1.43201	+	0.741010i
$347$			0.499304i			0.0268040i	0.999910	+	0.0134020i	$0.00426612\pi$
$347$			0.499304i			0.0268040i	−0.999910	+	0.0134020i	$0.995734\pi$
$348$	28.3498	+	20.0581i	1.51971	+	1.07523i
$349$	−12.1079	−	12.1079i	−0.648124	−	0.648124i	0.304416	−	0.952539i	$-0.401539\pi$
$349$	−12.1079	−	12.1079i	−0.648124	−	0.648124i	−0.952539	+	0.304416i	$0.901539\pi$
$350$	−0.908534	+	2.85711i	−0.0485632	+	0.152719i
$351$	6.66416	+	6.96398i	0.355706	+	0.371710i
$352$	0.0208906	+	0.665006i	0.00111347	+	0.0354449i
$353$	−21.9862	+	21.9862i	−1.17021	+	1.17021i	−0.188050	+	0.982159i	$0.560217\pi$
$353$	−21.9862	+	21.9862i	−1.17021	+	1.17021i	−0.982159	+	0.188050i	$0.939783\pi$
$354$	4.71076	−	14.8142i	0.250374	−	0.787365i
$355$	−11.9876			−0.636235
$356$	7.97773	−	1.36649i	0.422819	−	0.0724236i
$357$	9.89851	−	9.89851i	0.523885	−	0.523885i
$358$	−11.7912	−	22.7867i	−0.623186	−	1.20431i
$359$	−16.4112	+	16.4112i	−0.866152	+	0.866152i	−0.992044	−	0.125892i	$-0.959821\pi$
$359$	−16.4112	+	16.4112i	−0.866152	+	0.866152i	0.125892	+	0.992044i	$0.459821\pi$
$360$	4.00946	−	3.03008i	0.211317	−	0.159699i
$361$		−	15.8509i		−	0.834259i
$362$	−28.8715	+	14.9399i	−1.51745	+	0.785225i
$363$	−24.0113			−1.26027
$364$	−12.2824	−	9.10195i	−0.643771	−	0.477072i
$365$	−5.25900			−0.275269
$366$	−36.3017	+	18.7847i	−1.89752	+	0.981895i
$367$			9.31021i			0.485989i	0.970028	+	0.242995i	$0.0781297\pi$
$367$			9.31021i			0.485989i	−0.970028	+	0.242995i	$0.921870\pi$
$368$	−9.78020	−	27.7115i	−0.509828	−	1.44456i
$369$	−7.00480	+	7.00480i	−0.364655	+	0.364655i
$370$	4.31415	+	8.33714i	0.224282	+	0.433427i
$371$	−11.2509	+	11.2509i	−0.584120	+	0.584120i
$372$	4.25562	+	24.8449i	0.220644	+	1.28815i
$373$	−36.0488			−1.86654			−0.933269	−	0.359178i	$-0.883057\pi$
$373$	−36.0488			−1.86654			−0.933269	+	0.359178i	$0.883057\pi$
$374$	0.152286	−	0.478903i	0.00787454	−	0.0247635i
$375$	1.54545	−	1.54545i	0.0798067	−	0.0798067i
$376$	−0.528067	+	0.399078i	−0.0272330	+	0.0205809i
$377$	−20.6959	+	19.8048i	−1.06589	+	1.02000i
$378$	2.42882	−	7.63805i	0.124925	−	0.392859i
$379$	17.6966	+	17.6966i	0.909014	+	0.909014i	0.996193	−	0.0871783i	$-0.0277850\pi$
$379$	17.6966	+	17.6966i	0.909014	+	0.909014i	−0.0871783	+	0.996193i	$0.527785\pi$
$380$	−2.04990	+	2.89729i	−0.105157	+	0.148628i
$381$		−	47.7420i		−	2.44589i
$382$	26.9775	−	13.9598i	1.38029	−	0.714247i
$383$	−5.69603	−	5.69603i	−0.291054	−	0.291054i	0.546443	−	0.837496i	$-0.315982\pi$
$383$	−5.69603	−	5.69603i	−0.291054	−	0.291054i	−0.837496	+	0.546443i	$0.815982\pi$
$384$	−24.2292	+	4.93786i	−1.23644	+	0.251984i
$385$	−0.176311	−	0.176311i	−0.00898563	−	0.00898563i
$386$	−5.01735	+	15.7783i	−0.255376	+	0.803095i
$387$	−4.39410			−0.223364
$388$	2.56049	+	14.9485i	0.129989	+	0.758895i
$389$			13.7269i			0.695981i	0.937498	+	0.347990i	$0.113136\pi$
$389$			13.7269i			0.695981i	−0.937498	+	0.347990i	$0.886864\pi$
$390$	4.90278	+	10.0080i	0.248262	+	0.506776i
$391$			22.1961i			1.12250i
$392$	0.976609	−	7.01967i	0.0493262	−	0.354547i
$393$	13.6407			0.688081
$394$	4.26490	+	1.35620i	0.214863	+	0.0683241i
$395$	−8.59250	−	8.59250i	−0.432336	−	0.432336i
$396$	0.0705648	+	0.411967i	0.00354601	+	0.0207021i
$397$	23.5931	+	23.5931i	1.18410	+	1.18410i	0.978671	+	0.205432i	$0.0658600\pi$
$397$	23.5931	+	23.5931i	1.18410	+	1.18410i	0.205432	+	0.978671i	$0.434140\pi$
$398$	7.63795	+	14.7604i	0.382856	+	0.739872i
$399$		−	8.22227i		−	0.411628i
$400$	−3.77198	+	1.33124i	−0.188599	+	0.0665621i
$401$	−0.0554652	−	0.0554652i	−0.00276980	−	0.00276980i	0.705721	−	0.708490i	$-0.250623\pi$
$401$	−0.0554652	−	0.0554652i	−0.00276980	−	0.00276980i	−0.708490	+	0.705721i	$0.750623\pi$
$402$	−13.8850	−	4.41528i	−0.692520	−	0.220214i
$403$	−20.7866	−	0.457315i	−1.03545	−	0.0227805i
$404$	8.36975	+	5.92179i	0.416410	+	0.294620i
$405$	−7.90076	+	7.90076i	−0.392592	+	0.392592i
$406$	22.6991	+	7.21808i	1.12654	+	0.358228i
$407$	−0.780704			−0.0386980
$408$	18.4985	+	2.57360i	0.915814	+	0.127412i
$409$	1.52346	−	1.52346i	0.0753303	−	0.0753303i	−0.668438	−	0.743768i	$-0.733037\pi$
$409$	1.52346	−	1.52346i	0.0753303	−	0.0753303i	0.743768	+	0.668438i	$0.233037\pi$
$410$	7.00259	−	3.62358i	0.345833	−	0.178956i
$411$	26.9306	−	26.9306i	1.32839	−	1.32839i
$412$	−12.1895	+	17.2284i	−0.600534	+	0.848784i
$413$		−	10.6620i		−	0.524643i
$414$	−8.48422	−	16.3958i	−0.416977	−	0.805810i
$415$	−14.8597			−0.729434
$416$	−0.191861	−	20.3952i	−0.00940677	−	0.999956i
$417$	−13.1579			−0.644343
$418$	−0.135653	−	0.262151i	−0.00663502	−	0.0128222i
$419$			5.57247i			0.272233i	0.990693	+	0.136117i	$0.0434622\pi$
$419$			5.57247i			0.272233i	−0.990693	+	0.136117i	$0.956538\pi$
$420$	5.35229	−	7.56482i	0.261165	−	0.369126i
$421$	−15.0304	+	15.0304i	−0.732535	+	0.732535i	−0.971121	−	0.238586i	$-0.923316\pi$
$421$	−15.0304	+	15.0304i	−0.732535	+	0.732535i	0.238586	+	0.971121i	$0.423316\pi$
$422$	−21.9526	+	11.3596i	−1.06864	+	0.552979i
$423$	−0.294024	+	0.294024i	−0.0142959	+	0.0142959i
$424$	−21.0260	−	2.92523i	−1.02111	−	0.142062i
$425$	3.02124			0.146552
$426$	35.3102	+	11.2283i	1.71078	+	0.544012i
$427$	−19.8233	+	19.8233i	−0.959316	+	0.959316i
$428$	−0.476773	−	0.337328i	−0.0230457	−	0.0163054i
$429$	−0.926619	−	0.0203861i	−0.0447376	−	0.000984248i
$430$	3.33289	+	1.05982i	0.160726	+	0.0511093i
$431$	−13.8776	−	13.8776i	−0.668461	−	0.668461i	0.288899	−	0.957360i	$-0.406711\pi$
$431$	−13.8776	−	13.8776i	−0.668461	−	0.668461i	−0.957360	+	0.288899i	$0.906711\pi$
$432$	10.0838	−	3.55887i	0.485157	−	0.171226i
$433$			21.5040i			1.03342i	0.856162	+	0.516708i	$0.172843\pi$
$433$			21.5040i			1.03342i	−0.856162	+	0.516708i	$0.827157\pi$
$434$	7.94548	+	15.3547i	0.381395	+	0.737050i
$435$	−12.2782	−	12.2782i	−0.588697	−	0.588697i
$436$	3.76550	+	21.9835i	0.180335	+	1.05282i
$437$	9.21866	+	9.21866i	0.440988	+	0.440988i
$438$	15.4907	+	4.92589i	0.740175	+	0.235368i
$439$	16.3431			0.780013			0.390007	−	0.920812i	$-0.372473\pi$
$439$	16.3431			0.780013			0.390007	+	0.920812i	$0.372473\pi$
$440$	0.0458406	−	0.329493i	0.00218537	−	0.0157080i
$441$		−	4.45227i		−	0.212013i
$442$	−4.99018	+	14.5747i	−0.237359	+	0.693250i
$443$		−	5.61831i		−	0.266934i	−0.991053	−	0.133467i	$-0.957389\pi$
$443$		−	5.61831i		−	0.266934i	0.991053	−	0.133467i	$-0.0426110\pi$
$444$	−4.89856	−	28.5985i	−0.232475	−	1.35722i
$445$	−4.04696			−0.191844
$446$	−8.17565	+	25.7104i	−0.387128	+	1.21742i
$447$	5.13964	+	5.13964i	0.243097	+	0.243097i
$448$	−14.8104	+	8.26343i	−0.699727	+	0.390410i
$449$	−21.5464	−	21.5464i	−1.01684	−	1.01684i	−0.999856	−	0.0169831i	$-0.994594\pi$
$449$	−21.5464	−	21.5464i	−1.01684	−	1.01684i	−0.0169831	−	0.999856i	$-0.505406\pi$
$450$	−2.23173	+	1.15484i	−0.105205	+	0.0544396i
$451$			0.655734i			0.0308773i
$452$	15.7138	−	22.2096i	0.739114	−	1.04465i
$453$	19.7918	+	19.7918i	0.929898	+	0.929898i
$454$	−4.78266	+	15.0403i	−0.224461	+	0.705875i
$455$	5.28469	+	5.52246i	0.247750	+	0.258897i
$456$	8.75187	−	6.61408i	0.409844	−	0.309733i
$457$	−13.4100	+	13.4100i	−0.627292	+	0.627292i	−0.947386	−	0.320093i	$-0.896286\pi$
$457$	−13.4100	+	13.4100i	−0.627292	+	0.627292i	0.320093	+	0.947386i	$0.396286\pi$
$458$	−0.0643738	+	0.202440i	−0.00300799	+	0.00945939i
$459$	−8.07682			−0.376993
$460$	2.48066	+	14.4824i	0.115661	+	0.675247i
$461$	18.6645	−	18.6645i	0.869292	−	0.869292i	−0.123102	−	0.992394i	$-0.539284\pi$
$461$	18.6645	−	18.6645i	0.869292	−	0.869292i	0.992394	+	0.123102i	$0.0392843\pi$
$462$	0.354191	+	0.684478i	0.0164785	+	0.0318448i
$463$	16.3536	−	16.3536i	0.760017	−	0.760017i	−0.216308	−	0.976325i	$-0.569401\pi$
$463$	16.3536	−	16.3536i	0.760017	−	0.760017i	0.976325	+	0.216308i	$0.0694015\pi$
$464$	10.5764	+	29.9674i	0.490997	+	1.39120i
$465$		−	12.6034i		−	0.584468i
$466$	13.9613	−	7.22447i	0.646747	−	0.334667i
$467$	12.5132			0.579042			0.289521	−	0.957172i	$-0.406504\pi$
$467$	12.5132			0.579042			0.289521	+	0.957172i	$0.406504\pi$
$468$	−1.88489	−	12.6735i	−0.0871292	−	0.585835i
$469$	−9.99324			−0.461445
$470$	0.293931	−	0.152098i	0.0135580	−	0.00701577i
$471$		−	17.8922i		−	0.824430i
$472$	11.3487	−	8.57663i	0.522368	−	0.394771i
$473$	−0.205670	+	0.205670i	−0.00945674	+	0.00945674i
$474$	17.2615	+	33.3580i	0.792847	+	1.53218i
$475$	1.25481	−	1.25481i	0.0575745	−	0.0575745i
$476$	12.6260	−	2.16267i	0.578711	−	0.0991260i
$477$	−13.3359			−0.610608
$478$	9.18155	−	28.8737i	0.419954	−	1.32065i
$479$	5.15991	−	5.15991i	0.235763	−	0.235763i	−0.579330	−	0.815093i	$-0.696686\pi$
$479$	5.15991	−	5.15991i	0.235763	−	0.235763i	0.815093	+	0.579330i	$0.196686\pi$
$480$	12.3575	−	0.388201i	0.564041	−	0.0177189i
$481$	23.9270	+	0.526405i	1.09098	+	0.0240020i
$482$	4.70843	−	14.8068i	0.214463	−	0.674433i
$483$	−24.0700	−	24.0700i	−1.09522	−	1.09522i
$484$	−17.9368	−	12.6907i	−0.815310	−	0.576850i
$485$		−	7.58310i		−	0.344331i
$486$	20.5992	−	10.6593i	0.934399	−	0.483516i
$487$	−29.1212	−	29.1212i	−1.31961	−	1.31961i	−0.914085	−	0.405523i	$-0.867089\pi$
$487$	−29.1212	−	29.1212i	−1.31961	−	1.31961i	−0.405523	−	0.914085i	$-0.632911\pi$
$488$	−37.0462	−	5.15404i	−1.67700	−	0.233312i
$489$	11.8409	+	11.8409i	0.535465	+	0.535465i
$490$	−1.07386	+	3.37701i	−0.0485119	+	0.152558i
$491$	24.5086			1.10606			0.553030	−	0.833161i	$-0.313472\pi$
$491$	24.5086			1.10606			0.553030	+	0.833161i	$0.313472\pi$
$492$	−24.0206	+	4.11443i	−1.08293	+	0.185493i
$493$		−	24.0030i		−	1.08104i
$494$	3.98074	+	8.12588i	0.179102	+	0.365600i
$495$		−	0.208983i		−	0.00939310i
$496$	−9.95227	+	20.8087i	−0.446870	+	0.934340i
$497$	25.4133			1.13994
$498$	43.7702	+	13.9185i	1.96139	+	0.623702i
$499$	19.1508	+	19.1508i	0.857306	+	0.857306i	0.991020	−	0.133714i	$-0.0426904\pi$
$499$	19.1508	+	19.1508i	0.857306	+	0.857306i	−0.133714	+	0.991020i	$0.542690\pi$
$500$	1.97129	−	0.337657i	0.0881588	−	0.0151005i
$501$	9.98553	+	9.98553i	0.446121	+	0.446121i
$502$	−2.66858	−	5.15705i	−0.119105	−	0.230171i
$503$		−	10.3857i		−	0.463076i	−0.972826	−	0.231538i	$-0.925624\pi$
$503$		−	10.3857i		−	0.463076i	0.972826	−	0.231538i	$-0.0743758\pi$
$504$	−8.49993	+	6.42368i	−0.378617	+	0.286134i
$505$	−3.62492	−	3.62492i	−0.161307	−	0.161307i
$506$	−1.16454	−	0.370311i	−0.0517700	−	0.0164623i
$507$	28.3853	+	1.24958i	1.26063	+	0.0554960i
$508$	25.2330	−	35.6639i	1.11954	−	1.58233i
$509$	−12.1577	+	12.1577i	−0.538880	+	0.538880i	−0.923200	−	0.384320i	$-0.874436\pi$
$509$	−12.1577	+	12.1577i	−0.538880	+	0.538880i	0.384320	+	0.923200i	$0.374436\pi$
$510$	−8.89925	−	2.82987i	−0.394065	−	0.125309i
$511$	11.1489			0.493199
$512$	−20.7093	−	9.11718i	−0.915232	−	0.402926i
$513$	−3.35453	+	3.35453i	−0.148106	+	0.148106i
$514$	−24.9914	+	12.9321i	−1.10232	+	0.570410i
$515$	7.46159	−	7.46159i	0.328797	−	0.328797i
$516$	−8.82453	−	6.24356i	−0.388478	−	0.274857i
$517$			0.0275242i			0.00121051i
$518$	−9.14587	−	17.6745i	−0.401847	−	0.776572i
$519$	−46.3509			−2.03458
$520$	−1.62709	+	10.0674i	−0.0713527	+	0.441485i
$521$	14.0867			0.617152			0.308576	−	0.951200i	$-0.400148\pi$
$521$	14.0867			0.617152			0.308576	+	0.951200i	$0.400148\pi$
$522$	9.17492	+	17.7306i	0.401575	+	0.776047i
$523$		−	16.9164i		−	0.739703i	−0.929091	−	0.369852i	$-0.879408\pi$
$523$		−	16.9164i		−	0.739703i	0.929091	−	0.369852i	$-0.120592\pi$
$524$	10.1898	+	7.20950i	0.445143	+	0.314949i
$525$	−3.27631	+	3.27631i	−0.142990	+	0.142990i
$526$	−38.1543	+	19.7434i	−1.66360	+	0.860853i
$527$	12.3193	−	12.3193i	0.536638	−	0.536638i
$528$	−0.443649	+	0.927606i	−0.0193074	+	0.0403689i
$529$	30.9736			1.34668
$530$	10.1152	+	3.21652i	0.439374	+	0.139717i
$531$	6.31890	−	6.31890i	0.274217	−	0.274217i
$532$	4.34571	−	6.14216i	0.188411	−	0.266296i
$533$	0.442142	−	20.0969i	0.0191513	−	0.870495i
$534$	11.9206	+	3.79062i	0.515854	+	0.164036i
$535$	0.206489	+	0.206489i	0.00892731	+	0.00892731i
$536$	−8.03867	−	10.6369i	−0.347218	−	0.459444i
$537$		−	39.6511i		−	1.71107i
$538$	6.56248	+	12.6820i	0.282928	+	0.546761i
$539$	−0.208393	−	0.208393i	−0.00897614	−	0.00897614i
$540$	−5.26994	+	0.902675i	−0.226782	+	0.0388449i
$541$	−23.4946	−	23.4946i	−1.01011	−	1.01011i	−0.999948	−	0.0101637i	$-0.996765\pi$
$541$	−23.4946	−	23.4946i	−1.01011	−	1.01011i	−0.0101637	−	0.999948i	$-0.503235\pi$
$542$	−12.1949	−	3.87786i	−0.523817	−	0.166569i
$543$	−50.2394			−2.15598
$544$	12.4585	+	11.6995i	0.534152	+	0.501614i
$545$		−	11.1519i		−	0.477693i
$546$	−10.3937	−	21.2167i	−0.444811	−	0.907991i
$547$		−	9.69446i		−	0.414505i	−0.978287	−	0.207253i	$-0.933548\pi$
$547$		−	9.69446i		−	0.414505i	0.978287	−	0.207253i	$-0.0664522\pi$
$548$	34.3511	−	5.88392i	1.46741	−	0.251349i
$549$	−23.4968			−1.00282
$550$	−0.0504053	+	0.158512i	−0.00214929	+	0.00675898i
$551$	−9.96915	−	9.96915i	−0.424700	−	0.424700i
$552$	6.25817	−	44.9824i	0.266365	−	1.91458i
$553$	18.2158	+	18.2158i	0.774616	+	0.774616i
$554$	31.7971	−	16.4538i	1.35093	−	0.699054i
$555$			14.5075i			0.615808i
$556$	−9.82911	−	6.95432i	−0.416847	−	0.294929i
$557$	−28.2522	−	28.2522i	−1.19709	−	1.19709i	−0.975035	−	0.222051i	$-0.928725\pi$
$557$	−28.2522	−	28.2522i	−1.19709	−	1.19709i	−0.222051	−	0.975035i	$-0.571275\pi$
$558$	−4.39112	+	13.8090i	−0.185891	+	0.584582i
$559$	6.44206	−	6.16471i	0.272470	−	0.260739i
$560$	7.99647	−	2.82219i	0.337913	−	0.119259i
$561$	0.549167	−	0.549167i	0.0231859	−	0.0231859i
$562$	6.23581	−	19.6101i	0.263042	−	0.827201i
$563$	−25.8270			−1.08848			−0.544240	−	0.838930i	$-0.683182\pi$
$563$	−25.8270			−1.08848			−0.544240	+	0.838930i	$0.683182\pi$
$564$	−1.00826	+	0.172702i	−0.0424553	+	0.00727205i
$565$	−9.61891	+	9.61891i	−0.404671	+	0.404671i
$566$	−0.991132	−	1.91537i	−0.0416604	−	0.0805090i
$567$	16.7494	−	16.7494i	0.703407	−	0.703407i
$568$	20.4427	+	27.0502i	0.857758	+	1.13500i
$569$		−	7.35001i		−	0.308129i	−0.988061	−	0.154064i	$-0.950764\pi$
$569$		−	7.35001i		−	0.308129i	0.988061	−	0.154064i	$-0.0492363\pi$
$570$	−4.87144	+	2.52079i	−0.204042	+	0.105584i
$571$	7.46402			0.312360			0.156180	−	0.987729i	$-0.450082\pi$
$571$	7.46402			0.312360			0.156180	+	0.987729i	$0.450082\pi$
$572$	−0.681423	−	0.504974i	−0.0284917	−	0.0211140i
$573$	46.9436			1.96110
$574$	−14.8453	+	7.68187i	−0.619630	+	0.320635i
$575$		−	7.34667i		−	0.306377i
$576$	−13.6749	−	3.88012i	−0.569786	−	0.161672i
$577$	−19.5044	+	19.5044i	−0.811981	+	0.811981i	−0.984931	−	0.172950i	$-0.944670\pi$
$577$	−19.5044	+	19.5044i	−0.811981	+	0.811981i	0.172950	+	0.984931i	$0.444670\pi$
$578$	5.11641	+	9.88750i	0.212815	+	0.411266i
$579$	−18.0933	+	18.0933i	−0.751932	+	0.751932i
$580$	−2.68261	−	15.6614i	−0.111389	−	0.650306i
$581$	31.5021			1.30693
$582$	−7.10278	+	22.3365i	−0.294420	+	0.925878i
$583$	−0.624200	+	0.624200i	−0.0258517	+	0.0258517i
$584$	8.96831	+	11.8670i	0.371111	+	0.491060i
$585$	−0.140911	+	6.40492i	−0.00582596	+	0.264811i
$586$	−7.97248	+	25.0715i	−0.329340	+	1.03569i
$587$	1.04571	+	1.04571i	0.0431613	+	0.0431613i	0.728358	−	0.685197i	$-0.240284\pi$
$587$	1.04571	+	1.04571i	0.0431613	+	0.0431613i	−0.685197	+	0.728358i	$0.740284\pi$
$588$	6.32622	−	8.94137i	0.260889	−	0.368736i
$589$		−	10.2331i		−	0.421649i
$590$	−6.31691	+	3.26876i	−0.260063	+	0.134573i
$591$	4.89064	+	4.89064i	0.201174	+	0.201174i
$592$	11.4558	−	23.9525i	0.470832	−	0.984442i
$593$	26.2313	+	26.2313i	1.07719	+	1.07719i	0.996760	+	0.0804284i	$0.0256288\pi$
$593$	26.2313	+	26.2313i	1.07719	+	1.07719i	0.0804284	+	0.996760i	$0.474371\pi$
$594$	0.134751	−	0.423758i	0.00552889	−	0.0173870i
$595$	−6.40493			−0.262577
$596$	1.12293	+	6.55584i	0.0459971	+	0.268538i
$597$			25.6846i			1.05120i
$598$	35.4410	+	12.1345i	1.44929	+	0.496217i
$599$		−	40.4116i		−	1.65117i	−0.564276	−	0.825586i	$-0.690844\pi$
$599$		−	40.4116i		−	1.65117i	0.564276	−	0.825586i	$-0.309156\pi$
$600$	−6.12283	−	0.851837i	−0.249964	−	0.0347761i
$601$	−4.33684			−0.176903			−0.0884516	−	0.996080i	$-0.528192\pi$
$601$	−4.33684			−0.176903			−0.0884516	+	0.996080i	$0.528192\pi$
$602$	−7.06562	−	2.24679i	−0.287973	−	0.0915725i
$603$	−5.92255	−	5.92255i	−0.241185	−	0.241185i
$604$	4.32420	+	25.2453i	0.175949	+	1.02722i
$605$	7.76839	+	7.76839i	0.315830	+	0.315830i
$606$	7.28211	+	14.0727i	0.295815	+	0.571666i
$607$		−	10.9270i		−	0.443515i	−0.975102	−	0.221758i	$-0.928821\pi$
$607$		−	10.9270i		−	0.443515i	0.975102	−	0.221758i	$-0.0711794\pi$
$608$	10.0335	−	0.315194i	0.406913	−	0.0127828i
$609$	26.0295	+	26.0295i	1.05477	+	1.05477i
$610$	17.8221	+	5.66726i	0.721597	+	0.229460i
$611$	0.0185588	−	0.843562i	0.000750807	−	0.0341269i
$612$	8.76459	+	6.20115i	0.354287	+	0.250666i
$613$	−9.93565	+	9.93565i	−0.401297	+	0.401297i	−0.878690	−	0.477393i	$-0.841582\pi$
$613$	−9.93565	+	9.93565i	−0.401297	+	0.401297i	0.477393	+	0.878690i	$0.341582\pi$
$614$	13.6453	+	4.33908i	0.550681	+	0.175111i
$615$	12.1852			0.491356
$616$	−0.0971807	+	0.698516i	−0.00391552	+	0.0281440i
$617$	16.1873	−	16.1873i	0.651678	−	0.651678i	−0.301719	−	0.953397i	$-0.597560\pi$
$617$	16.1873	−	16.1873i	0.651678	−	0.651678i	0.953397	+	0.301719i	$0.0975605\pi$
$618$	−28.9676	+	14.9896i	−1.16525	+	0.602971i
$619$	2.39898	−	2.39898i	0.0964231	−	0.0964231i	−0.657250	−	0.753673i	$-0.728280\pi$
$619$	2.39898	−	2.39898i	0.0964231	−	0.0964231i	0.753673	+	0.657250i	$0.228280\pi$
$620$	6.66126	−	9.41491i	0.267523	−	0.378112i
$621$			19.6402i			0.788134i
$622$	−0.465837	−	0.900233i	−0.0186784	−	0.0360961i
$623$	8.57943			0.343728
$624$	14.2224	−	28.1301i	0.569353	−	1.12611i
$625$	−1.00000			−0.0400000
$626$	−13.8326	−	26.7315i	−0.552860	−	1.06841i
$627$		−	0.456170i		−	0.0182177i
$628$	9.45658	−	13.3658i	0.377358	−	0.533352i
$629$	−14.1805	+	14.1805i	−0.565414	+	0.565414i
$630$	4.73121	−	2.44822i	0.188496	−	0.0975395i
$631$	13.4820	−	13.4820i	0.536712	−	0.536712i	−0.385850	−	0.922562i	$-0.626092\pi$
$631$	13.4820	−	13.4820i	0.536712	−	0.536712i	0.922562	+	0.385850i	$0.126092\pi$
$632$	−4.73610	+	34.0421i	−0.188392	+	1.35412i
$633$	−38.1998			−1.51830
$634$	−18.9855	−	6.03720i	−0.754011	−	0.239768i
$635$	−15.4460	+	15.4460i	−0.612954	+	0.612954i
$636$	−26.7820	−	18.9489i	−1.06198	−	0.751373i
$637$	6.24633	+	6.52736i	0.247489	+	0.258623i
$638$	1.25934	+	0.400458i	0.0498578	+	0.0158543i
$639$	15.0613	+	15.0613i	0.595818	+	0.595818i
$640$	9.43641	+	6.24132i	0.373007	+	0.246710i
$641$		−	6.97833i		−	0.275628i	−0.990458	−	0.137814i	$-0.955992\pi$
$641$		−	6.97833i		−	0.275628i	0.990458	−	0.137814i	$-0.0440076\pi$
$642$	−0.414817	−	0.801637i	−0.0163715	−	0.0316381i
$643$	26.6873	+	26.6873i	1.05244	+	1.05244i	0.998546	+	0.0538981i	$0.0171646\pi$
$643$	26.6873	+	26.6873i	1.05244	+	1.05244i	0.0538981	+	0.998546i	$0.482835\pi$
$644$	−5.25892	−	30.7023i	−0.207230	−	1.20984i
$645$	3.82188	+	3.82188i	0.150487	+	0.150487i
$646$	−7.22562	−	2.29768i	−0.284288	−	0.0904008i
$647$	45.2270			1.77806			0.889029	−	0.457850i	$-0.151380\pi$
$647$	45.2270			1.77806			0.889029	+	0.457850i	$0.151380\pi$
$648$	31.3016	+	4.35482i	1.22964	+	0.171073i
$649$		−	0.591526i		−	0.0232194i
$650$	1.65170	−	4.82409i	0.0647850	−	0.189217i
$651$			26.7188i			1.04719i
$652$	2.58706	+	15.1036i	0.101317	+	0.591503i
$653$	28.1406			1.10123			0.550613	−	0.834761i	$-0.314394\pi$
$653$	28.1406			1.10123			0.550613	+	0.834761i	$0.314394\pi$
$654$	−10.4455	+	32.8485i	−0.408451	+	1.28448i
$655$	−4.41317	−	4.41317i	−0.172437	−	0.172437i
$656$	−20.1184	−	9.62208i	−0.785490	−	0.375679i
$657$	6.60747	+	6.60747i	0.257782	+	0.257782i
$658$	−0.623125	+	0.322444i	−0.0242919	+	0.0125702i
$659$			42.2135i			1.64441i	0.569194	+	0.822203i	$0.307255\pi$
$659$			42.2135i			1.64441i	−0.569194	+	0.822203i	$0.692745\pi$
$660$	0.296944	−	0.419695i	0.0115585	−	0.0163366i
$661$	−21.5078	−	21.5078i	−0.836558	−	0.836558i	0.151846	−	0.988404i	$-0.451478\pi$
$661$	−21.5078	−	21.5078i	−0.836558	−	0.836558i	−0.988404	+	0.151846i	$0.951478\pi$
$662$	−6.84963	+	21.5404i	−0.266219	+	0.837192i
$663$	−17.2012	+	16.4606i	−0.668038	+	0.639277i
$664$	25.3406	+	33.5312i	0.983408	+	1.30126i
$665$	−2.66015	+	2.66015i	−0.103156	+	0.103156i
$666$	5.05453	−	15.8952i	0.195859	−	0.615928i
$667$	−58.3676			−2.26000
$668$	2.18169	+	12.7370i	0.0844120	+	0.492809i
$669$	−29.4826	+	29.4826i	−1.13986	+	1.13986i
$670$	3.06373	+	5.92069i	0.118362	+	0.228736i
$671$	−1.09979	+	1.09979i	−0.0424570	+	0.0424570i
$672$	−26.1975	+	0.822974i	−1.01059	+	0.0317469i
$673$			9.75666i			0.376092i	0.982160	+	0.188046i	$0.0602154\pi$
$673$			9.75666i			0.376092i	−0.982160	+	0.188046i	$0.939785\pi$
$674$	3.16113	−	1.63577i	0.121762	−	0.0630073i
$675$	2.67335			0.102897
$676$	20.5438	+	15.9359i	0.790145	+	0.612920i
$677$	−36.4273			−1.40001			−0.700007	−	0.714136i	$-0.746820\pi$
$677$	−36.4273			−1.40001			−0.700007	+	0.714136i	$0.746820\pi$
$678$	37.3428	−	19.3235i	1.43414	−	0.742113i
$679$			16.0759i			0.616938i
$680$	−5.15220	−	6.81747i	−0.197578	−	0.261438i
$681$	−17.2470	+	17.2470i	−0.660905	+	0.660905i
$682$	0.440814	+	0.851876i	0.0168796	+	0.0326200i
$683$	−21.0556	+	21.0556i	−0.805669	+	0.805669i	−0.983975	−	0.178306i	$-0.942938\pi$
$683$	−21.0556	+	21.0556i	−0.805669	+	0.805669i	0.178306	+	0.983975i	$0.442938\pi$
$684$	6.21570	−	1.06467i	0.237663	−	0.0407087i
$685$	−17.4257			−0.665802
$686$	8.63628	−	27.1590i	0.329735	−	1.03693i
$687$	−0.232142	+	0.232142i	−0.00885676	+	0.00885676i
$688$	−3.29215	−	9.32806i	−0.125512	−	0.355629i
$689$	19.5514	−	18.7096i	0.744848	−	0.712779i
$690$	−6.88133	+	21.6401i	−0.261968	+	0.823824i
$691$	6.53991	+	6.53991i	0.248790	+	0.248790i	0.820474	−	0.571684i	$-0.193710\pi$
$691$	6.53991	+	6.53991i	0.248790	+	0.248790i	−0.571684	+	0.820474i	$0.693710\pi$
$692$	−34.6248	−	24.4978i	−1.31624	−	0.931268i
$693$			0.443038i			0.0168296i
$694$	−0.627133	+	0.324518i	−0.0238057	+	0.0123185i
$695$	4.25696	+	4.25696i	0.161476	+	0.161476i
$696$	−6.76764	+	48.6444i	−0.256527	+	1.84386i
$697$	11.9106	+	11.9106i	0.451146	+	0.451146i
$698$	7.33833	−	23.0772i	0.277760	−	0.873486i
$699$	24.2942			0.918890
$700$	−4.17908	+	0.715823i	−0.157954	+	0.0270556i
$701$		−	1.62386i		−	0.0613325i	−0.999530	−	0.0306662i	$-0.990237\pi$
$701$		−	1.62386i		−	0.0613325i	0.999530	−	0.0306662i	$-0.00976290\pi$
$702$	−4.41557	+	12.8965i	−0.166655	+	0.486746i
$703$			11.7791i			0.444259i
$704$	−0.821680	+	0.458453i	−0.0309682	+	0.0172786i
$705$	0.511470			0.0192631
$706$	−41.9048	−	13.3253i	−1.57711	−	0.501505i
$707$	7.68471	+	7.68471i	0.289013	+	0.289013i
$708$	21.6686	−	3.71155i	0.814354	−	0.139489i
$709$	−9.58914	−	9.58914i	−0.360128	−	0.360128i	0.503732	−	0.863860i	$-0.331960\pi$
$709$	−9.58914	−	9.58914i	−0.360128	−	0.360128i	−0.863860	+	0.503732i	$0.831960\pi$
$710$	−7.79122	−	15.0566i	−0.292399	−	0.565064i
$711$			21.5914i			0.809743i
$712$	6.90139	+	9.13203i	0.258640	+	0.342237i
$713$	−29.9566	−	29.9566i	−1.12188	−	1.12188i
$714$	18.8661	+	5.99924i	0.706047	+	0.224516i
$715$	0.293194	+	0.306385i	0.0109648	+	0.0114581i
$716$	20.9568	−	29.6200i	0.783193	−	1.10695i
$717$	33.1100	−	33.1100i	1.23652	−	1.23652i
$718$	−31.2791	−	9.94645i	−1.16733	−	0.371198i
$719$	48.4050			1.80520			0.902601	−	0.430478i	$-0.141655\pi$
$719$	48.4050			1.80520			0.902601	+	0.430478i	$0.141655\pi$
$720$	6.41174	+	3.06657i	0.238952	+	0.114284i
$721$	−15.8183	+	15.8183i	−0.589106	+	0.589106i
$722$	19.9090	−	10.3022i	0.740937	−	0.383407i
$723$	16.9793	−	16.9793i	0.631467	−	0.631467i
$724$	−37.5296	−	26.5530i	−1.39478	−	0.986836i
$725$			7.94476i			0.295061i
$726$	−15.6060	−	30.1586i	−0.579191	−	1.11929i
$727$	8.10366			0.300548			0.150274	−	0.988644i	$-0.451984\pi$
$727$	8.10366			0.300548			0.150274	+	0.988644i	$0.451984\pi$
$728$	3.44938	−	21.3426i	0.127843	−	0.791009i
$729$	2.32466			0.0860985
$730$	−3.41804	−	6.60539i	−0.126507	−	0.244476i
$731$			7.47149i			0.276343i
$732$	−47.1879	−	33.3865i	−1.74411	−	1.23400i
$733$	24.2954	−	24.2954i	0.897370	−	0.897370i	−0.0978332	−	0.995203i	$-0.531191\pi$
$733$	24.2954	−	24.2954i	0.897370	−	0.897370i	0.995203	+	0.0978332i	$0.0311912\pi$
$734$	−11.6938	+	6.05109i	−0.431625	+	0.223350i
$735$	−3.87248	+	3.87248i	−0.142839	+	0.142839i
$736$	28.4495	−	30.2949i	1.04866	−	1.11668i
$737$	−0.554423			−0.0204224
$738$	−13.3508	−	4.24543i	−0.491452	−	0.156277i
$739$	−12.6349	+	12.6349i	−0.464782	+	0.464782i	−0.900219	−	0.435437i	$-0.856594\pi$
$739$	−12.6349	+	12.6349i	−0.464782	+	0.464782i	0.435437	+	0.900219i	$0.356594\pi$
$740$	−7.66763	+	10.8373i	−0.281868	+	0.398387i
$741$	−0.307582	+	13.9807i	−0.0112993	+	0.513594i
$742$	−21.4438	−	6.81891i	−0.787227	−	0.250330i
$743$	−14.0456	−	14.0456i	−0.515284	−	0.515284i	0.400857	−	0.916141i	$-0.368712\pi$
$743$	−14.0456	−	14.0456i	−0.515284	−	0.515284i	−0.916141	+	0.400857i	$0.868712\pi$
$744$	−28.4397	+	21.4929i	−1.04265	+	0.787967i
$745$		−	3.32566i		−	0.121843i
$746$	−23.4296	−	45.2779i	−0.857819	−	1.65774i
$747$	18.6699	+	18.6699i	0.683097	+	0.683097i
$748$	0.700487	−	0.119985i	0.0256124	−	0.00438707i
$749$	−0.437751	−	0.437751i	−0.0159951	−	0.0159951i
$750$	2.94556	+	0.936659i	0.107557	+	0.0342020i
$751$	−12.7452			−0.465078			−0.232539	−	0.972587i	$-0.574703\pi$
$751$	−12.7452			−0.465078			−0.232539	+	0.972587i	$0.574703\pi$
$752$	−0.844460	−	0.403883i	−0.0307943	−	0.0147281i
$753$		−	8.97380i		−	0.327024i
$754$	−38.3263	−	13.1224i	−1.39576	−	0.477889i
$755$		−	12.8065i		−	0.466075i
$756$	11.1721	−	1.91364i	0.406326	−	0.0695985i
$757$	−33.2213			−1.20745			−0.603724	−	0.797194i	$-0.706317\pi$
$757$	−33.2213			−1.20745			−0.603724	+	0.797194i	$0.706317\pi$
$758$	−10.7255	+	33.7290i	−0.389567	+	1.22509i
$759$	−1.33540	−	1.33540i	−0.0484718	−	0.0484718i
$760$	−4.97135	−	0.691637i	−0.180330	−	0.0250883i
$761$	0.278410	+	0.278410i	0.0100923	+	0.0100923i	0.712135	−	0.702043i	$-0.247728\pi$
$761$	0.278410	+	0.278410i	0.0100923	+	0.0100923i	−0.702043	+	0.712135i	$0.747728\pi$
$762$	59.9647	−	31.0295i	2.17229	−	1.12408i
$763$			23.6416i			0.855883i
$764$	35.0675	+	24.8111i	1.26870	+	0.897634i
$765$	−3.79592	−	3.79592i	−0.137242	−	0.137242i
$766$	3.45222	−	10.8564i	0.124734	−	0.392257i
$767$	−0.398848	+	18.1291i	−0.0144016	+	0.654603i
$768$	−21.9496	−	27.2229i	−0.792037	−	0.982322i
$769$	8.92733	−	8.92733i	0.321928	−	0.321928i	−0.527579	−	0.849506i	$-0.676900\pi$
$769$	8.92733	−	8.92733i	0.321928	−	0.321928i	0.849506	+	0.527579i	$0.176900\pi$
$770$	0.106858	−	0.336041i	0.00385088	−	0.0121101i
$771$	−43.4875			−1.56617
$772$	−23.0788	+	3.95311i	−0.830624	+	0.142276i
$773$	−2.90875	+	2.90875i	−0.104620	+	0.104620i	−0.757479	−	0.652859i	$-0.773569\pi$
$773$	−2.90875	+	2.90875i	−0.104620	+	0.104620i	0.652859	+	0.757479i	$0.273569\pi$
$774$	−2.85590	−	5.51906i	−0.102653	−	0.198378i
$775$	−4.07757	+	4.07757i	−0.146471	+	0.146471i
$776$	−17.1114	+	12.9317i	−0.614263	+	0.464219i
$777$		−	30.7554i		−	1.10334i
$778$	−17.2412	+	8.92167i	−0.618127	+	0.319857i
$779$	9.89363			0.354476
$780$	−9.38372	+	12.6626i	−0.335991	+	0.453394i
$781$	1.40993			0.0504511
$782$	−27.8786	+	14.4261i	−0.996937	+	0.515877i
$783$		−	21.2391i		−	0.759023i
$784$	9.45156	−	3.33573i	0.337556	−	0.119133i
$785$	−5.78868	+	5.78868i	−0.206607	+	0.206607i
$786$	8.86563	+	17.1329i	0.316227	+	0.611110i
$787$	26.2137	−	26.2137i	0.934417	−	0.934417i	−0.0635608	−	0.997978i	$-0.520246\pi$
$787$	26.2137	−	26.2137i	0.934417	−	0.934417i	0.997978	+	0.0635608i	$0.0202457\pi$
$788$	1.06853	+	6.23823i	0.0380648	+	0.222228i
$789$	−66.3923			−2.36363
$790$	5.20770	−	16.3769i	0.185282	−	0.582665i
$791$	20.3918	−	20.3918i	0.725049	−	0.725049i
$792$	−0.471574	+	0.356385i	−0.0167567	+	0.0126636i
$793$	34.4480	−	32.9649i	1.22328	−	1.17062i
$794$	−14.2992	+	44.9674i	−0.507459	+	1.59583i
$795$	11.5992	+	11.5992i	0.411383	+	0.411383i
$796$	−13.5751	+	19.1868i	−0.481156	+	0.680057i
$797$		−	12.2853i		−	0.435166i	−0.976042	−	0.217583i	$-0.930183\pi$
$797$		−	12.2853i		−	0.435166i	0.976042	−	0.217583i	$-0.0698173\pi$
$798$	10.3273	−	5.34399i	0.365583	−	0.189175i
$799$	0.499943	+	0.499943i	0.0176867	+	0.0176867i
$800$	−4.12362	−	3.87243i	−0.145792	−	0.136911i
$801$	5.08465	+	5.08465i	0.179657	+	0.179657i
$802$	0.0336161	−	0.105714i	0.00118703	−	0.00373290i
$803$	0.618539			0.0218278
$804$	−3.47875	−	20.3094i	−0.122686	−	0.716258i
$805$			15.5747i			0.548937i
$806$	−12.9357	−	26.4055i	−0.455639	−	0.930095i
$807$			22.0680i			0.776832i
$808$	−1.99802	+	14.3613i	−0.0702900	+	0.505230i
$809$	34.0773			1.19809			0.599046	−	0.800714i	$-0.295547\pi$
$809$	34.0773			1.19809			0.599046	+	0.800714i	$0.295547\pi$
$810$	−15.0585	−	4.78845i	−0.529102	−	0.168249i
$811$	−11.1691	−	11.1691i	−0.392202	−	0.392202i	0.483270	−	0.875471i	$-0.339449\pi$
$811$	−11.1691	−	11.1691i	−0.392202	−	0.392202i	−0.875471	+	0.483270i	$0.839449\pi$
$812$	5.68705	+	33.2018i	0.199576	+	1.16515i
$813$	−13.9842	−	13.9842i	−0.490446	−	0.490446i
$814$	−0.507411	−	0.980576i	−0.0177848	−	0.0343692i
$815$		−	7.66179i		−	0.268381i
$816$	8.79047	+	24.9072i	0.307728	+	0.871925i
$817$	3.10313	+	3.10313i	0.108565	+	0.108565i
$818$	2.90365	+	0.923332i	0.101524	+	0.0322835i
$819$	0.298728	−	13.5782i	0.0104384	−	0.474462i
$820$	9.10254	+	6.44026i	0.317875	+	0.224903i
$821$	5.01420	−	5.01420i	0.174997	−	0.174997i	−0.614174	−	0.789171i	$-0.710511\pi$
$821$	5.01420	−	5.01420i	0.174997	−	0.174997i	0.789171	+	0.614174i	$0.210511\pi$
$822$	51.3285	+	16.3220i	1.79029	+	0.569293i
$823$	−28.9293			−1.00841			−0.504205	−	0.863584i	$-0.668215\pi$
$823$	−28.9293			−1.00841			−0.504205	+	0.863584i	$0.668215\pi$
$824$	−29.5616	−	4.11275i	−1.02983	−	0.143275i
$825$	−0.181769	+	0.181769i	−0.00632838	+	0.00632838i
$826$	13.3916	−	6.92967i	0.465955	−	0.241114i
$827$	−16.4643	+	16.4643i	−0.572520	+	0.572520i	−0.932832	−	0.360312i	$-0.882670\pi$
$827$	−16.4643	+	16.4643i	−0.572520	+	0.572520i	0.360312	+	0.932832i	$0.382670\pi$
$828$	15.0792	−	21.3126i	0.524037	−	0.740665i
$829$		−	4.54192i		−	0.157747i	−0.996885	−	0.0788737i	$-0.974868\pi$
$829$		−	4.54192i		−	0.157747i	0.996885	−	0.0788737i	$-0.0251324\pi$
$830$	−9.65793	−	18.6640i	−0.335232	−	0.647838i
$831$	55.3302			1.91938
$832$	25.4920	−	13.4966i	0.883775	−	0.467912i
$833$	−7.57041			−0.262299
$834$	−8.55183	−	16.5265i	−0.296126	−	0.572265i
$835$		−	6.46124i		−	0.223600i
$836$	0.241099	−	0.340766i	0.00833860	−	0.0117856i
$837$	10.9008	−	10.9008i	0.376785	−	0.376785i
$838$	−6.99912	+	3.62178i	−0.241780	+	0.125112i
$839$	−35.4058	+	35.4058i	−1.22234	+	1.22234i	−0.255549	+	0.966796i	$0.582256\pi$
$839$	−35.4058	+	35.4058i	−1.22234	+	1.22234i	−0.966796	+	0.255549i	$0.917744\pi$
$840$	12.9802	+	1.80587i	0.447860	+	0.0623084i
$841$	34.1193			1.17653
$842$	−28.6472	−	9.10953i	−0.987248	−	0.313935i
$843$	22.4873	−	22.4873i	0.774502	−	0.774502i
$844$	−28.5358	−	20.1897i	−0.982242	−	0.694959i
$845$	−8.77922	−	9.58777i	−0.302014	−	0.329829i
$846$	−0.560397	−	0.178201i	−0.0192668	−	0.00612666i
$847$	−16.4688	−	16.4688i	−0.565873	−	0.565873i
$848$	−9.99151	−	28.3102i	−0.343110	−	0.972177i
$849$		−	3.33294i		−	0.114386i
$850$	1.96363	+	3.79473i	0.0673519	+	0.130158i
$851$	34.4824	+	34.4824i	1.18204	+	1.18204i
$852$	8.84663	+	51.6479i	0.303081	+	1.76943i
$853$	8.43528	+	8.43528i	0.288818	+	0.288818i	0.836613	−	0.547794i	$-0.184532\pi$
$853$	8.43528	+	8.43528i	0.288818	+	0.288818i	−0.547794	+	0.836613i	$0.684532\pi$
$854$	−37.7823	−	12.0144i	−1.29289	−	0.411124i
$855$	−3.15311			−0.107834
$856$	0.113815	−	0.818078i	0.00389011	−	0.0279613i
$857$		−	46.2816i		−	1.58095i	−0.612495	−	0.790475i	$-0.709834\pi$
$857$		−	46.2816i		−	1.58095i	0.612495	−	0.790475i	$-0.290166\pi$
$858$	−0.576642	−	1.17710i	−0.0196862	−	0.0401855i
$859$		−	6.87683i		−	0.234634i	−0.993094	−	0.117317i	$-0.962571\pi$
$859$		−	6.87683i		−	0.234634i	0.993094	−	0.117317i	$-0.0374294\pi$
$860$	0.835023	+	4.87498i	0.0284741	+	0.166236i
$861$	−25.8323			−0.880363
$862$	8.41087	−	26.4501i	0.286476	−	0.900895i
$863$	8.28356	+	8.28356i	0.281976	+	0.281976i	0.833896	−	0.551921i	$-0.186105\pi$
$863$	8.28356	+	8.28356i	0.281976	+	0.281976i	−0.551921	+	0.833896i	$0.686105\pi$
$864$	11.0239	+	10.3523i	0.375040	+	0.352194i
$865$	14.9959	+	14.9959i	0.509876	+	0.509876i
$866$	−27.0094	+	13.9763i	−0.917816	+	0.474935i
$867$			17.2053i			0.584322i
$868$	−14.1217	+	19.9593i	−0.479321	+	0.677463i
$869$	1.01061	+	1.01061i	0.0342826	+	0.0342826i
$870$	7.44154	−	23.4018i	0.252292	−	0.793395i
$871$	16.9920	+	0.373831i	0.575751	+	0.0126668i
$872$	−25.1643	+	19.0175i	−0.852172	+	0.644015i
$873$	−9.52750	+	9.52750i	−0.322457	+	0.322457i
$874$	−5.58720	+	17.5704i	−0.188990	+	0.594327i
$875$	2.11997			0.0716680
$876$	3.88105	+	22.6581i	0.131129	+	0.765547i
$877$	19.8213	−	19.8213i	0.669318	−	0.669318i	−0.288240	−	0.957558i	$-0.593070\pi$
$877$	19.8213	−	19.8213i	0.669318	−	0.669318i	0.957558	+	0.288240i	$0.0930701\pi$
$878$	10.6220	+	20.5272i	0.358477	+	0.692759i
$879$	−28.7499	+	28.7499i	−0.969711	+	0.969711i
$880$	0.443643	−	0.156575i	0.0149552	−	0.00527813i
$881$			19.5976i			0.660260i	0.943935	+	0.330130i	$0.107093\pi$
$881$			19.5976i			0.660260i	−0.943935	+	0.330130i	$0.892907\pi$
$882$	5.59213	−	2.89371i	0.188297	−	0.0974364i
$883$	26.7037			0.898651			0.449326	−	0.893368i	$-0.351664\pi$
$883$	26.7037			0.898651			0.449326	+	0.893368i	$0.351664\pi$
$884$	−21.5494	+	3.20497i	−0.724786	+	0.107795i
$885$	−10.9921			−0.369494
$886$	7.05669	−	3.65157i	0.237074	−	0.122677i
$887$			17.3714i			0.583274i	0.956529	+	0.291637i	$0.0941998\pi$
$887$			17.3714i			0.583274i	−0.956529	+	0.291637i	$0.905800\pi$
$888$	32.7364	−	24.7400i	1.09856	−	0.830219i
$889$	32.7450	−	32.7450i	1.09823	−	1.09823i
$890$	−2.63029	−	5.08305i	−0.0881674	−	0.170384i
$891$	0.929252	−	0.929252i	0.0311311	−	0.0311311i
$892$	−37.6064	+	6.44150i	−1.25915	+	0.215677i
$893$	0.415281			0.0138969
$894$	−3.11501	+	9.79593i	−0.104181	+	0.327625i
$895$	−12.8283	+	12.8283i	−0.428804	+	0.428804i
$896$	−20.0049	−	13.2314i	−0.668317	−	0.442030i
$897$	40.0268	+	41.8276i	1.33646	+	1.39658i
$898$	13.0588	−	41.0666i	0.435776	−	1.37041i
$899$	32.3954	+	32.3954i	1.08045	+	1.08045i
$900$	−2.90099	−	2.05252i	−0.0966997	−	0.0684172i
$901$			22.6756i			0.755435i
$902$	−0.823613	+	0.426189i	−0.0274233	+	0.0141905i
$903$	−8.10228	−	8.10228i	−0.269627	−	0.269627i
$904$	38.1086	+	5.30185i	1.26747	+	0.176337i
$905$	16.2540	+	16.2540i	0.540300	+	0.540300i
$906$	−11.9953	+	37.7223i	−0.398517	+	1.25324i
$907$	−41.2751			−1.37052			−0.685258	−	0.728300i	$-0.740311\pi$
$907$	−41.2751			−1.37052			−0.685258	+	0.728300i	$0.740311\pi$
$908$	−21.9993	+	3.76820i	−0.730072	+	0.125052i
$909$			9.10878i			0.302119i
$910$	−3.50155	+	10.2269i	−0.116075	+	0.339019i
$911$			28.1599i			0.932979i	0.884527	+	0.466490i	$0.154482\pi$
$911$			28.1599i			0.932979i	−0.884527	+	0.466490i	$0.845518\pi$
$912$	13.9956	+	6.69372i	0.463440	+	0.221651i
$913$	1.74773			0.0578415
$914$	−25.5589	−	8.12746i	−0.845412	−	0.268832i
$915$	20.4370	+	20.4370i	0.675625	+	0.675625i
$916$	−0.296107	+	0.0507194i	−0.00978365	+	0.00167582i
$917$	9.35578	+	9.35578i	0.308955	+	0.308955i
$918$	−5.24945	−	10.1446i	−0.173258	−	0.334822i
$919$		−	42.3455i		−	1.39685i	−0.715684	−	0.698424i	$-0.753885\pi$
$919$		−	42.3455i		−	1.39685i	0.715684	−	0.698424i	$-0.246115\pi$
$920$	−16.5779	+	12.5285i	−0.546557	+	0.413051i
$921$	15.6474	+	15.6474i	0.515599	+	0.515599i
$922$	35.5737	+	11.3121i	1.17156	+	0.372544i
$923$	−43.2114	−	0.950671i	−1.42232	−	0.0312917i
$924$	−0.629512	+	0.889740i	−0.0207094	+	0.0292703i
$925$	4.69361	−	4.69361i	0.154325	−	0.154325i
$926$	31.1693	+	9.91152i	1.02429	+	0.325713i
$927$	−18.7497			−0.615820
$928$	−30.7656	+	32.7612i	−1.00993	+	1.07544i
$929$	−21.8767	+	21.8767i	−0.717750	+	0.717750i	−0.968144	−	0.250394i	$-0.919440\pi$
$929$	−21.8767	+	21.8767i	−0.717750	+	0.717750i	0.250394	+	0.968144i	$0.419440\pi$
$930$	15.8300	−	8.19145i	0.519088	−	0.268608i
$931$	−3.14421	+	3.14421i	−0.103047	+	0.103047i
$932$	18.1481	+	12.8402i	0.594461	+	0.420595i
$933$		−	1.56650i		−	0.0512849i
$934$	8.13284	+	15.7168i	0.266115	+	0.514269i
$935$	−0.355344			−0.0116210
$936$	14.6931	−	10.6045i	0.480259	−	0.346619i
$937$	9.53386			0.311458			0.155729	−	0.987800i	$-0.450227\pi$
$937$	9.53386			0.311458			0.155729	+	0.987800i	$0.450227\pi$
$938$	−6.49502	−	12.5517i	−0.212070	−	0.409827i
$939$		−	46.5156i		−	1.51798i
$940$	0.382076	+	0.270327i	0.0124619	+	0.00881710i
$941$	23.9754	−	23.9754i	0.781576	−	0.781576i	−0.198521	−	0.980097i	$-0.563614\pi$
$941$	23.9754	−	23.9754i	0.781576	−	0.781576i	0.980097	+	0.198521i	$0.0636136\pi$
$942$	22.4729	−	11.6289i	0.732208	−	0.378890i
$943$	28.9627	−	28.9627i	0.943155	−	0.943155i
$944$	18.1484	+	8.67990i	0.590680	+	0.282507i
$945$	−5.66741			−0.184361
$946$	−0.391999	−	0.124652i	−0.0127450	−	0.00405278i
$947$	3.03306	−	3.03306i	0.0985611	−	0.0985611i	−0.656107	−	0.754668i	$-0.727798\pi$
$947$	3.03306	−	3.03306i	0.0985611	−	0.0985611i	0.754668	+	0.656107i	$0.227798\pi$
$948$	−30.6792	+	43.3615i	−0.996415	+	1.40831i
$949$	−18.9570	−	0.417063i	−0.615370	−	0.0135384i
$950$	2.39161	+	0.760508i	0.0775941	+	0.0246741i
$951$	−21.7711	−	21.7711i	−0.705975	−	0.705975i
$952$	10.9225	+	14.4528i	0.354000	+	0.468419i
$953$			32.5098i			1.05309i	0.850146	+	0.526547i	$0.176514\pi$
$953$			32.5098i			1.05309i	−0.850146	+	0.526547i	$0.823486\pi$
$954$	−8.66753	−	16.7501i	−0.280622	−	0.542304i
$955$	−15.1877	−	15.1877i	−0.491462	−	0.491462i
$956$	42.2333	−	7.23403i	1.36592	−	0.233965i
$957$	1.44411	+	1.44411i	0.0466815	+	0.0466815i
$958$	9.83458	+	3.12730i	0.317741	+	0.101038i
$959$	36.9420			1.19292
$960$	8.51924	+	15.2689i	0.274957	+	0.492802i
$961$			2.25321i			0.0726843i
$962$	14.8900	+	30.3948i	0.480072	+	0.979969i
$963$		−	0.518871i		−	0.0167204i
$964$	21.6578	−	3.70972i	0.697552	−	0.119482i
$965$	11.7075			0.376876
$966$	14.5882	−	45.8763i	0.469368	−	1.47605i
$967$	4.14506	+	4.14506i	0.133296	+	0.133296i	0.770607	−	0.637311i	$-0.219953\pi$
$967$	4.14506	+	4.14506i	0.133296	+	0.133296i	−0.637311	+	0.770607i	$0.719953\pi$
$968$	4.28186	−	30.7771i	0.137624	−	0.989215i
$969$	−8.28576	−	8.28576i	−0.266177	−	0.266177i
$970$	9.52450	−	4.92857i	0.305813	−	0.158247i
$971$		−	18.1947i		−	0.583896i	−0.956434	−	0.291948i	$-0.905697\pi$
$971$		−	18.1947i		−	0.583896i	0.956434	−	0.291948i	$-0.0943035\pi$
$972$	26.7765	+	18.9450i	0.858858	+	0.607662i
$973$	−9.02463	−	9.02463i	−0.289316	−	0.289316i
$974$	17.6496	−	55.5038i	0.565531	−	1.77846i
$975$	5.69341	−	5.44829i	0.182335	−	0.174485i
$976$	−17.6043	−	49.8804i	−0.563499	−	1.59663i
$977$	0.931294	−	0.931294i	0.0297947	−	0.0297947i	−0.692052	−	0.721847i	$-0.743293\pi$
$977$	0.931294	−	0.931294i	0.0297947	−	0.0297947i	0.721847	+	0.692052i	$0.243293\pi$
$978$	−7.17649	+	22.5683i	−0.229479	+	0.721654i
$979$	0.475985			0.0152125
$980$	−4.93953	+	0.846079i	−0.157787	+	0.0270270i
$981$	−14.0113	+	14.0113i	−0.447347	+	0.447347i
$982$	15.9292	+	30.7833i	0.508320	+	0.982333i
$983$	8.04255	−	8.04255i	0.256517	−	0.256517i	−0.567119	−	0.823636i	$-0.691942\pi$
$983$	8.04255	−	8.04255i	0.256517	−	0.256517i	0.823636	+	0.567119i	$0.191942\pi$
$984$	−20.7798	−	27.4962i	−0.662435	−	0.876545i
$985$		−	3.16454i		−	0.100831i
$986$	30.1482	−	15.6006i	0.960114	−	0.496823i
$987$	−1.08430			−0.0345137
$988$	−7.61898	+	10.2812i	−0.242392	+	0.327089i
$989$	18.1682			0.577717
$990$	0.262486	−	0.135827i	0.00834237	−	0.00431686i
$991$		−	13.0179i		−	0.413528i	−0.978391	−	0.206764i	$-0.933707\pi$
$991$		−	13.0179i		−	0.413528i	0.978391	−	0.206764i	$-0.0662933\pi$
$992$	−32.6045	+	1.02424i	−1.03519	+	0.0325198i
$993$	−24.7008	+	24.7008i	−0.783856	+	0.783856i
$994$	16.5171	+	31.9195i	0.523892	+	1.01243i
$995$	8.30975	−	8.30975i	0.263437	−	0.263437i
$996$	10.9662	+	64.0223i	0.347478	+	2.02862i
$997$	5.64050			0.178636			0.0893182	−	0.996003i	$-0.471531\pi$
$997$	5.64050			0.178636			0.0893182	+	0.996003i	$0.471531\pi$
$998$	−11.6068	+	36.5005i	−0.367407	+	1.15540i
$999$	−12.5476	+	12.5476i	−0.396990	+	0.396990i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	260.2.j.a.31.19	yes	56
4.3	odd	2	inner	260.2.j.a.31.4	✓	56
13.8	odd	4	inner	260.2.j.a.151.4	yes	56
52.47	even	4	inner	260.2.j.a.151.19	yes	56

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
260.2.j.a.31.4	✓	56	4.3	odd	2	inner
260.2.j.a.31.19	yes	56	1.1	even	1	trivial
260.2.j.a.151.4	yes	56	13.8	odd	4	inner
260.2.j.a.151.19	yes	56	52.47	even	4	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:	\( N \)	\(=\)	\( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	260.j (of order \(4\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(0.649941 + 1.25602i) q^{2} +2.18560i q^{3} +(-1.15515 + 1.63267i) q^{4} +(0.707107 - 0.707107i) q^{5} +(-2.74515 + 1.42051i) q^{6} +(-1.49904 + 1.49904i) q^{7} +(-2.80145 - 0.389750i) q^{8} -1.77684 q^{9} +O(q^{10})\)	\(q+(0.649941 + 1.25602i) q^{2} +2.18560i q^{3} +(-1.15515 + 1.63267i) q^{4} +(0.707107 - 0.707107i) q^{5} +(-2.74515 + 1.42051i) q^{6} +(-1.49904 + 1.49904i) q^{7} +(-2.80145 - 0.389750i) q^{8} -1.77684 q^{9} +(1.34772 + 0.428560i) q^{10} +(-0.0831667 + 0.0831667i) q^{11} +(-3.56837 - 2.52470i) q^{12} +(2.60497 - 2.49282i) q^{13} +(-2.85711 - 0.908534i) q^{14} +(1.54545 + 1.54545i) q^{15} +(-1.33124 - 3.77198i) q^{16} +3.02124i q^{17} +(-1.15484 - 2.23173i) q^{18} +(1.25481 + 1.25481i) q^{19} +(0.337657 + 1.97129i) q^{20} +(-3.27631 - 3.27631i) q^{21} +(-0.158512 - 0.0504053i) q^{22} +7.34667 q^{23} +(0.851837 - 6.12283i) q^{24} -1.00000i q^{25} +(4.82409 + 1.65170i) q^{26} +2.67335i q^{27} +(-0.715823 - 4.17908i) q^{28} -7.94476 q^{29} +(-0.936659 + 2.94556i) q^{30} +(-4.07757 - 4.07757i) q^{31} +(3.87243 - 4.12362i) q^{32} +(-0.181769 - 0.181769i) q^{33} +(-3.79473 + 1.96363i) q^{34} +2.11997i q^{35} +(2.05252 - 2.90099i) q^{36} +(4.69361 + 4.69361i) q^{37} +(-0.760508 + 2.39161i) q^{38} +(5.44829 + 5.69341i) q^{39} +(-2.25652 + 1.70533i) q^{40} +(3.94229 - 3.94229i) q^{41} +(1.98569 - 6.24450i) q^{42} +2.47299 q^{43} +(-0.0397137 - 0.231854i) q^{44} +(-1.25641 + 1.25641i) q^{45} +(4.77490 + 9.22754i) q^{46} +(0.165476 - 0.165476i) q^{47} +(8.24402 - 2.90956i) q^{48} +2.50573i q^{49} +(1.25602 - 0.649941i) q^{50} -6.60321 q^{51} +(1.06081 + 7.13265i) q^{52} +7.50541 q^{53} +(-3.35776 + 1.73752i) q^{54} +0.117615i q^{55} +(4.78374 - 3.61524i) q^{56} +(-2.74250 + 2.74250i) q^{57} +(-5.16363 - 9.97875i) q^{58} +(-3.55627 + 3.55627i) q^{59} +(-4.30845 + 0.737983i) q^{60} +13.2240 q^{61} +(2.47132 - 7.77168i) q^{62} +(2.66356 - 2.66356i) q^{63} +(7.69619 + 2.18373i) q^{64} +(0.0793046 - 3.60468i) q^{65} +(0.110166 - 0.346444i) q^{66} +(3.33320 + 3.33320i) q^{67} +(-4.93270 - 3.48999i) q^{68} +16.0569i q^{69} +(-2.66272 + 1.37785i) q^{70} +(-8.47650 - 8.47650i) q^{71} +(4.97771 + 0.692522i) q^{72} +(-3.71867 - 3.71867i) q^{73} +(-2.84468 + 8.94581i) q^{74} +2.18560 q^{75} +(-3.49819 + 0.599195i) q^{76} -0.249341i q^{77} +(-3.60995 + 10.5435i) q^{78} -12.1516i q^{79} +(-3.60852 - 1.72586i) q^{80} -11.1734 q^{81} +(7.51383 + 2.38932i) q^{82} +(-10.5074 - 10.5074i) q^{83} +(9.13378 - 1.56450i) q^{84} +(2.13634 + 2.13634i) q^{85} +(1.60730 + 3.10612i) q^{86} -17.3641i q^{87} +(0.265401 - 0.200573i) q^{88} +(-2.86163 - 2.86163i) q^{89} +(-2.39467 - 0.761480i) q^{90} +(-0.168123 + 7.64181i) q^{91} +(-8.48653 + 11.9947i) q^{92} +(8.91193 - 8.91193i) q^{93} +(0.315390 + 0.100291i) q^{94} +1.77457 q^{95} +(9.01258 + 8.46358i) q^{96} +(5.36206 - 5.36206i) q^{97} +(-3.14724 + 1.62858i) q^{98} +(0.147774 - 0.147774i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 56 q - 12 q^{6} + 12 q^{8} - 56 q^{9}+O(q^{10}) \) 56 * q - 12 * q^6 + 12 * q^8 - 56 * q^9	\( 56 q - 12 q^{6} + 12 q^{8} - 56 q^{9} + 16 q^{14} - 12 q^{18} - 8 q^{20} - 16 q^{21} - 40 q^{24} - 16 q^{26} - 44 q^{28} + 40 q^{32} - 4 q^{34} + 16 q^{37} + 8 q^{41} + 8 q^{42} + 28 q^{44} - 12 q^{46} + 104 q^{48} + 56 q^{52} - 16 q^{53} + 20 q^{54} - 48 q^{57} - 4 q^{58} + 16 q^{61} - 8 q^{65} + 64 q^{66} + 24 q^{68} - 8 q^{70} - 32 q^{72} + 48 q^{73} - 136 q^{74} - 88 q^{76} + 52 q^{78} - 32 q^{80} + 56 q^{81} - 20 q^{84} - 64 q^{86} - 8 q^{89} - 88 q^{92} - 48 q^{93} - 16 q^{94} - 4 q^{96} - 32 q^{97} + 16 q^{98}+O(q^{100}) \) 56 * q - 12 * q^6 + 12 * q^8 - 56 * q^9 + 16 * q^14 - 12 * q^18 - 8 * q^20 - 16 * q^21 - 40 * q^24 - 16 * q^26 - 44 * q^28 + 40 * q^32 - 4 * q^34 + 16 * q^37 + 8 * q^41 + 8 * q^42 + 28 * q^44 - 12 * q^46 + 104 * q^48 + 56 * q^52 - 16 * q^53 + 20 * q^54 - 48 * q^57 - 4 * q^58 + 16 * q^61 - 8 * q^65 + 64 * q^66 + 24 * q^68 - 8 * q^70 - 32 * q^72 + 48 * q^73 - 136 * q^74 - 88 * q^76 + 52 * q^78 - 32 * q^80 + 56 * q^81 - 20 * q^84 - 64 * q^86 - 8 * q^89 - 88 * q^92 - 48 * q^93 - 16 * q^94 - 4 * q^96 - 32 * q^97 + 16 * q^98

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