LMFDB - Embedded newform 276.2.m.a.7.16

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [276,2,Mod(7,276)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

chi = DirichletCharacter(H, H._module([11, 0, 19]))

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

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

chi := DirichletCharacter("276.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 276 = 2^{2} \cdot 3 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	276.m (of order $22$, degree $10$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$2.20387109579$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$24$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			7.16
Character	$\chi$	$=$	276.7
Dual form			276.2.m.a.79.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.740078 - 1.20511i) q^{2} +(0.540641 + 0.841254i) q^{3} +(-0.904569 - 1.78375i) q^{4} +(1.98260 - 0.905423i) q^{5} +(1.41392 - 0.0289372i) q^{6} +(1.01964 - 0.299394i) q^{7} +(-2.81906 - 0.230009i) q^{8} +(-0.415415 + 0.909632i) q^{9} +O(q^{10})$	\(q+(0.740078 - 1.20511i) q^{2} +(0.540641 + 0.841254i) q^{3} +(-0.904569 - 1.78375i) q^{4} +(1.98260 - 0.905423i) q^{5} +(1.41392 - 0.0289372i) q^{6} +(1.01964 - 0.299394i) q^{7} +(-2.81906 - 0.230009i) q^{8} +(-0.415415 + 0.909632i) q^{9} +(0.376146 - 3.05933i) q^{10} +(-0.331561 - 0.382642i) q^{11} +(1.01154 - 1.72534i) q^{12} +(0.602666 + 0.176959i) q^{13} +(0.393813 - 1.45035i) q^{14} +(1.83356 + 1.17836i) q^{15} +(-2.36351 + 3.22705i) q^{16} +(0.788926 + 0.113430i) q^{17} +(0.788765 + 1.17382i) q^{18} +(0.0740872 + 0.515288i) q^{19} +(-3.40844 - 2.71744i) q^{20} +(0.803126 + 0.695913i) q^{21} +(-0.706506 + 0.116382i) q^{22} +(-0.502896 - 4.76939i) q^{23} +(-1.33060 - 2.49590i) q^{24} +(-0.163392 + 0.188564i) q^{25} +(0.659274 - 0.595314i) q^{26} +(-0.989821 + 0.142315i) q^{27} +(-1.45638 - 1.54796i) q^{28} +(0.0843130 - 0.586410i) q^{29} +(2.77703 - 1.33756i) q^{30} +(-3.11431 + 4.84596i) q^{31} +(2.13976 + 5.23655i) q^{32} +(0.142643 - 0.485799i) q^{33} +(0.720563 - 0.866794i) q^{34} +(1.75046 - 1.51679i) q^{35} +(1.99833 - 0.0818295i) q^{36} +(2.79445 + 1.27618i) q^{37} +(0.675807 + 0.292070i) q^{38} +(0.176959 + 0.602666i) q^{39} +(-5.79732 + 2.09643i) q^{40} +(3.14406 + 6.88454i) q^{41} +(1.43303 - 0.452824i) q^{42} +(-10.1587 + 6.52859i) q^{43} +(-0.382617 + 0.937547i) q^{44} +2.17956i q^{45} +(-6.11981 - 2.92368i) q^{46} -2.35767i q^{47} +(-3.99257 - 0.243638i) q^{48} +(-4.93874 + 3.17394i) q^{49} +(0.106317 + 0.336457i) q^{50} +(0.331102 + 0.725012i) q^{51} +(-0.229503 - 1.23507i) q^{52} +(2.37704 + 8.09547i) q^{53} +(-0.561040 + 1.29817i) q^{54} +(-1.00381 - 0.458423i) q^{55} +(-2.94330 + 0.609482i) q^{56} +(-0.393433 + 0.340912i) q^{57} +(-0.644289 - 0.535595i) q^{58} +(4.11215 - 14.0047i) q^{59} +(0.443312 - 4.33653i) q^{60} +(-2.15970 + 3.36056i) q^{61} +(3.53507 + 7.33946i) q^{62} +(-0.151236 + 1.05187i) q^{63} +(7.89419 + 1.29682i) q^{64} +(1.35507 - 0.194829i) q^{65} +(-0.479872 - 0.531430i) q^{66} +(-5.54609 + 6.40053i) q^{67} +(-0.511307 - 1.50985i) q^{68} +(3.74038 - 3.00159i) q^{69} +(-0.532410 - 3.23204i) q^{70} +(2.97362 + 2.57666i) q^{71} +(1.38030 - 2.46876i) q^{72} +(-1.13253 - 7.87692i) q^{73} +(3.60605 - 2.42314i) q^{74} +(-0.246966 - 0.0355084i) q^{75} +(0.852126 - 0.598266i) q^{76} +(-0.452634 - 0.290890i) q^{77} +(0.857240 + 0.232765i) q^{78} +(8.24869 + 2.42203i) q^{79} +(-1.76405 + 8.53792i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(10.6235 + 1.30616i) q^{82} +(1.88952 - 4.13747i) q^{83} +(0.514850 - 2.06208i) q^{84} +(1.66683 - 0.489425i) q^{85} +(0.349435 + 17.0740i) q^{86} +(0.538903 - 0.246109i) q^{87} +(0.846679 + 1.15495i) q^{88} +(-7.44646 - 11.5869i) q^{89} +(2.62661 + 1.61305i) q^{90} +0.667484 q^{91} +(-8.05249 + 5.21128i) q^{92} -5.76040 q^{93} +(-2.84124 - 1.74486i) q^{94} +(0.613438 + 0.954529i) q^{95} +(-3.24843 + 4.63117i) q^{96} +(6.97831 - 3.18689i) q^{97} +(0.169881 + 8.30068i) q^{98} +(0.485799 - 0.142643i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9}+O(q^{10}) $ 240 * q - 4 * q^2 - 4 * q^6 - 4 * q^8 + 24 * q^9	$ 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9} - 8 q^{16} + 4 q^{18} + 4 q^{24} + 24 q^{25} - 40 q^{26} + 32 q^{29} + 36 q^{32} - 22 q^{34} - 22 q^{36} - 110 q^{38} - 22 q^{40} - 16 q^{41} - 110 q^{42} - 154 q^{44} - 88 q^{46} - 56 q^{48} - 40 q^{49} - 142 q^{50} - 70 q^{52} - 18 q^{54} - 110 q^{56} - 46 q^{58} - 22 q^{60} + 40 q^{62} - 48 q^{64} - 16 q^{69} - 72 q^{70} + 4 q^{72} + 22 q^{74} + 110 q^{76} - 192 q^{77} + 198 q^{80} - 24 q^{81} + 172 q^{82} - 200 q^{85} + 220 q^{86} + 176 q^{88} - 88 q^{89} + 154 q^{92} - 16 q^{93} + 126 q^{94} - 44 q^{96} - 88 q^{97} + 228 q^{98}+O(q^{100}) $ 240 * q - 4 * q^2 - 4 * q^6 - 4 * q^8 + 24 * q^9 - 8 * q^16 + 4 * q^18 + 4 * q^24 + 24 * q^25 - 40 * q^26 + 32 * q^29 + 36 * q^32 - 22 * q^34 - 22 * q^36 - 110 * q^38 - 22 * q^40 - 16 * q^41 - 110 * q^42 - 154 * q^44 - 88 * q^46 - 56 * q^48 - 40 * q^49 - 142 * q^50 - 70 * q^52 - 18 * q^54 - 110 * q^56 - 46 * q^58 - 22 * q^60 + 40 * q^62 - 48 * q^64 - 16 * q^69 - 72 * q^70 + 4 * q^72 + 22 * q^74 + 110 * q^76 - 192 * q^77 + 198 * q^80 - 24 * q^81 + 172 * q^82 - 200 * q^85 + 220 * q^86 + 176 * q^88 - 88 * q^89 + 154 * q^92 - 16 * q^93 + 126 * q^94 - 44 * q^96 - 88 * q^97 + 228 * q^98

Display 100 coefficients 10 coefficients

Character values

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

$n$	$97$	$139$	$185$
$\chi(n)$	$e\left(\frac{19}{22}\right)$	$-1$	$1$

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 $

$2$	0.740078	−	1.20511i	0.523314	−	0.852140i
$2$	0.740078	−	1.20511i	0.523314	−	0.852140i
$3$	0.540641	+	0.841254i	0.312139	+	0.485698i
$3$	0.540641	+	0.841254i	0.312139	+	0.485698i
$4$	−0.904569	−	1.78375i	−0.452285	−	0.891874i
$5$	1.98260	−	0.905423i	0.886646	−	0.404918i	0.0805832	−	0.996748i	$-0.474322\pi$
$5$	1.98260	−	0.905423i	0.886646	−	0.404918i	0.806063	+	0.591830i	$0.201594\pi$
$6$	1.41392	−	0.0289372i	0.577229	−	0.0118135i
$7$	1.01964	−	0.299394i	0.385389	−	0.113160i	−0.0832984	−	0.996525i	$-0.526545\pi$
$7$	1.01964	−	0.299394i	0.385389	−	0.113160i	0.468687	+	0.883364i	$0.344727\pi$
$8$	−2.81906	−	0.230009i	−0.996688	−	0.0813205i
$9$	−0.415415	+	0.909632i	−0.138472	+	0.303211i
$10$	0.376146	−	3.05933i	0.118948	−	0.967445i
$11$	−0.331561	−	0.382642i	−0.0999694	−	0.115371i	0.703560	−	0.710636i	$-0.251593\pi$
$11$	−0.331561	−	0.382642i	−0.0999694	−	0.115371i	−0.803530	+	0.595265i	$0.797047\pi$
$12$	1.01154	−	1.72534i	0.292006	−	0.498062i
$13$	0.602666	+	0.176959i	0.167149	+	0.0490795i	0.364236	−	0.931306i	$-0.381330\pi$
$13$	0.602666	+	0.176959i	0.167149	+	0.0490795i	−0.197087	+	0.980386i	$0.563148\pi$
$14$	0.393813	−	1.45035i	0.105251	−	0.387623i
$15$	1.83356	+	1.17836i	0.473424	+	0.304251i
$16$	−2.36351	+	3.22705i	−0.590877	+	0.806761i
$17$	0.788926	+	0.113430i	0.191343	+	0.0275109i	0.237320	−	0.971432i	$-0.423731\pi$
$17$	0.788926	+	0.113430i	0.191343	+	0.0275109i	−0.0459771	+	0.998942i	$0.514640\pi$
$18$	0.788765	+	1.17382i	0.185914	+	0.276672i
$19$	0.0740872	+	0.515288i	0.0169968	+	0.118215i	0.996553	−	0.0829533i	$-0.0264352\pi$
$19$	0.0740872	+	0.515288i	0.0169968	+	0.118215i	−0.979557	+	0.201168i	$0.935526\pi$
$20$	−3.40844	−	2.71744i	−0.762151	−	0.607638i
$21$	0.803126	+	0.695913i	0.175257	+	0.151861i
$22$	−0.706506	+	0.116382i	−0.150628	+	0.0248127i
$23$	−0.502896	−	4.76939i	−0.104861	−	0.994487i
$23$	−0.502896	−	4.76939i	−0.104861	−	0.994487i
$24$	−1.33060	−	2.49590i	−0.271608	−	0.509473i
$25$	−0.163392	+	0.188564i	−0.0326783	+	0.0377128i
$26$	0.659274	−	0.595314i	0.129294	−	0.116751i
$27$	−0.989821	+	0.142315i	−0.190491	+	0.0273885i
$28$	−1.45638	−	1.54796i	−0.275230	−	0.292537i
$29$	0.0843130	−	0.586410i	0.0156565	−	0.108894i	−0.980495	−	0.196546i	$-0.937027\pi$
$29$	0.0843130	−	0.586410i	0.0156565	−	0.108894i	0.996151	+	0.0876526i	$0.0279365\pi$
$30$	2.77703	−	1.33756i	0.507014	−	0.244205i
$31$	−3.11431	+	4.84596i	−0.559346	+	0.870360i	−0.999622	−	0.0275031i	$-0.991244\pi$
$31$	−3.11431	+	4.84596i	−0.559346	+	0.870360i	0.440276	+	0.897863i	$0.354881\pi$
$32$	2.13976	+	5.23655i	0.378259	+	0.925700i
$33$	0.142643	−	0.485799i	0.0248310	−	0.0845667i
$34$	0.720563	−	0.866794i	0.123576	−	0.148654i
$35$	1.75046	−	1.51679i	0.295882	−	0.256384i
$36$	1.99833	−	0.0818295i	0.333054	−	0.0136383i
$37$	2.79445	+	1.27618i	0.459405	+	0.209803i	0.631654	−	0.775250i	$-0.282376\pi$
$37$	2.79445	+	1.27618i	0.459405	+	0.209803i	−0.172249	+	0.985053i	$0.555104\pi$
$38$	0.675807	+	0.292070i	0.109630	+	0.0473800i
$39$	0.176959	+	0.602666i	0.0283361	+	0.0965037i
$40$	−5.79732	+	2.09643i	−0.916637	+	0.331474i
$41$	3.14406	+	6.88454i	0.491020	+	1.07518i	0.979285	+	0.202489i	$0.0649029\pi$
$41$	3.14406	+	6.88454i	0.491020	+	1.07518i	−0.488264	+	0.872696i	$0.662370\pi$
$42$	1.43303	−	0.452824i	0.221121	−	0.0698722i
$43$	−10.1587	+	6.52859i	−1.54919	+	0.995601i	−0.563674	+	0.825998i	$0.690612\pi$
$43$	−10.1587	+	6.52859i	−1.54919	+	0.995601i	−0.985512	+	0.169604i	$0.945751\pi$
$44$	−0.382617	+	0.937547i	−0.0576816	+	0.141341i
$45$			2.17956i			0.324910i
$46$	−6.11981	−	2.92368i	−0.902317	−	0.431073i
$47$		−	2.35767i		−	0.343901i	−0.985106	−	0.171950i	$-0.944993\pi$
$47$		−	2.35767i		−	0.343901i	0.985106	−	0.171950i	$-0.0550069\pi$
$48$	−3.99257	−	0.243638i	−0.576278	−	0.0351662i
$49$	−4.93874	+	3.17394i	−0.705534	+	0.453419i
$50$	0.106317	+	0.336457i	0.0150356	+	0.0475822i
$51$	0.331102	+	0.725012i	0.0463635	+	0.101522i
$52$	−0.229503	−	1.23507i	−0.0318264	−	0.171274i
$53$	2.37704	+	8.09547i	0.326512	+	1.11200i	0.945235	+	0.326389i	$0.105832\pi$
$53$	2.37704	+	8.09547i	0.326512	+	1.11200i	−0.618723	+	0.785609i	$0.712350\pi$
$54$	−0.561040	+	1.29817i	−0.0763479	+	0.176658i
$55$	−1.00381	−	0.458423i	−0.135353	−	0.0618137i
$56$	−2.94330	+	0.609482i	−0.393314	+	0.0814455i
$57$	−0.393433	+	0.340912i	−0.0521115	+	0.0451548i
$58$	−0.644289	−	0.535595i	−0.0845993	−	0.0703271i
$59$	4.11215	−	14.0047i	0.535357	−	1.82326i	−0.0315872	−	0.999501i	$-0.510056\pi$
$59$	4.11215	−	14.0047i	0.535357	−	1.82326i	0.566944	−	0.823756i	$-0.308126\pi$
$60$	0.443312	−	4.33653i	0.0572313	−	0.559843i
$61$	−2.15970	+	3.36056i	−0.276521	+	0.430275i	−0.951540	−	0.307525i	$-0.900499\pi$
$61$	−2.15970	+	3.36056i	−0.276521	+	0.430275i	0.675019	+	0.737800i	$0.264135\pi$
$62$	3.53507	+	7.33946i	0.448954	+	0.932113i
$63$	−0.151236	+	1.05187i	−0.0190540	+	0.132523i
$64$	7.89419	+	1.29682i	0.986774	+	0.162102i
$65$	1.35507	−	0.194829i	0.168075	−	0.0241656i
$66$	−0.479872	−	0.531430i	−0.0590682	−	0.0654145i
$67$	−5.54609	+	6.40053i	−0.677563	+	0.781949i	−0.985540	−	0.169445i	$-0.945803\pi$
$67$	−5.54609	+	6.40053i	−0.677563	+	0.781949i	0.307977	+	0.951394i	$0.400348\pi$
$68$	−0.511307	−	1.50985i	−0.0620051	−	0.183096i
$69$	3.74038	−	3.00159i	0.450289	−	0.361349i
$70$	−0.532410	−	3.23204i	−0.0636352	−	0.386302i
$71$	2.97362	+	2.57666i	0.352904	+	0.305793i	0.813214	−	0.581965i	$-0.197716\pi$
$71$	2.97362	+	2.57666i	0.352904	+	0.305793i	−0.460309	+	0.887759i	$0.652262\pi$
$72$	1.38030	−	2.46876i	0.162670	−	0.290946i
$73$	−1.13253	−	7.87692i	−0.132553	−	0.921924i	−0.942210	−	0.335021i	$-0.891256\pi$
$73$	−1.13253	−	7.87692i	−0.132553	−	0.921924i	0.809658	−	0.586902i	$-0.199653\pi$
$74$	3.60605	−	2.42314i	0.419195	−	0.281684i
$75$	−0.246966	−	0.0355084i	−0.0285172	−	0.00410016i
$76$	0.852126	−	0.598266i	0.0977455	−	0.0686258i
$77$	−0.452634	−	0.290890i	−0.0515825	−	0.0331500i
$78$	0.857240	+	0.232765i	0.0970633	+	0.0263555i
$79$	8.24869	+	2.42203i	0.928050	+	0.272500i	0.710620	−	0.703576i	$-0.248414\pi$
$79$	8.24869	+	2.42203i	0.928050	+	0.272500i	0.217430	+	0.976076i	$0.430233\pi$
$80$	−1.76405	+	8.53792i	−0.197227	+	0.954568i
$81$	−0.654861	−	0.755750i	−0.0727623	−	0.0839722i
$82$	10.6235	+	1.30616i	1.17317	+	0.144241i
$83$	1.88952	−	4.13747i	0.207402	−	0.454146i	−0.777133	−	0.629336i	$-0.783327\pi$
$83$	1.88952	−	4.13747i	0.207402	−	0.454146i	0.984535	+	0.175190i	$0.0560540\pi$
$84$	0.514850	−	2.06208i	0.0561747	−	0.224991i
$85$	1.66683	−	0.489425i	0.180793	−	0.0530856i
$86$	0.349435	+	17.0740i	0.0376806	+	1.84114i
$87$	0.538903	−	0.246109i	0.0577764	−	0.0263856i
$88$	0.846679	+	1.15495i	0.0902563	+	0.123118i
$89$	−7.44646	−	11.5869i	−0.789323	−	1.22821i	−0.969624	−	0.244599i	$-0.921344\pi$
$89$	−7.44646	−	11.5869i	−0.789323	−	1.22821i	0.180301	−	0.983611i	$-0.442293\pi$
$90$	2.62661	+	1.61305i	0.276869	+	0.170030i
$91$	0.667484			0.0699713
$92$	−8.05249	+	5.21128i	−0.839530	+	0.543314i
$93$	−5.76040			−0.597326
$94$	−2.84124	−	1.74486i	−0.293052	−	0.179968i
$95$	0.613438	+	0.954529i	0.0629375	+	0.0979326i
$96$	−3.24843	+	4.63117i	−0.331541	+	0.472667i
$97$	6.97831	−	3.18689i	0.708540	−	0.323579i	−0.0283442	−	0.999598i	$-0.509023\pi$
$97$	6.97831	−	3.18689i	0.708540	−	0.323579i	0.736884	+	0.676019i	$0.236296\pi$
$98$	0.169881	+	8.30068i	0.0171606	+	0.838495i
$99$	0.485799	−	0.142643i	0.0488246	−	0.0143362i
$100$	0.484150	+	0.120880i	0.0484150	+	0.0120880i
$101$	0.143360	−	0.313915i	0.0142649	−	0.0312357i	−0.902365	−	0.430972i	$-0.858171\pi$
$101$	0.143360	−	0.313915i	0.0142649	−	0.0312357i	0.916630	+	0.399736i	$0.130898\pi$
$102$	1.11876	+	0.137552i	0.110774	+	0.0136197i
$103$	1.08602	+	1.25334i	0.107009	+	0.123495i	0.806727	−	0.590924i	$-0.201237\pi$
$103$	1.08602	+	1.25334i	0.107009	+	0.123495i	−0.699718	+	0.714419i	$0.746691\pi$
$104$	−1.65825	−	0.637475i	−0.162605	−	0.0625096i
$105$	2.22237	+	0.652548i	0.216882	+	0.0636822i
$106$	11.5151	+	3.12668i	1.11845	+	0.303690i
$107$	10.6875	+	6.86842i	1.03320	+	0.663995i	0.943295	−	0.331956i	$-0.107709\pi$
$107$	10.6875	+	6.86842i	1.03320	+	0.663995i	0.0899012	+	0.995951i	$0.471345\pi$
$108$	1.14922	+	1.63686i	0.110583	+	0.157507i
$109$	−12.5506	−	1.80451i	−1.20213	−	0.172840i	−0.487994	−	0.872847i	$-0.662271\pi$
$109$	−12.5506	−	1.80451i	−1.20213	−	0.172840i	−0.714136	+	0.700007i	$0.753180\pi$
$110$	−1.29534	+	0.870425i	−0.123506	+	0.0829918i
$111$	0.437201	+	3.04080i	0.0414973	+	0.288620i
$112$	−1.44378	+	3.99805i	−0.136424	+	0.377780i
$113$	−9.55415	−	8.27872i	−0.898779	−	0.778796i	0.0771197	−	0.997022i	$-0.475428\pi$
$113$	−9.55415	−	8.27872i	−0.898779	−	0.778796i	−0.975898	+	0.218226i	$0.929973\pi$
$114$	0.119664	+	0.726430i	0.0112076	+	0.0680364i
$115$	−5.31536	−	9.00046i	−0.495660	−	0.839297i
$116$	−1.12227	+	0.380055i	−0.104201	+	0.0352872i
$117$	−0.411324	+	0.474693i	−0.0380269	+	0.0438854i
$118$	−13.8339	−	15.3202i	−1.27351	−	1.41034i
$119$	0.838383	−	0.120541i	0.0768544	−	0.0110500i
$120$	−4.89789	−	3.74361i	−0.447115	−	0.341743i
$121$	1.52898	−	10.6343i	0.138998	−	0.966754i
$122$	2.45149	+	5.08974i	0.221947	+	0.460804i
$123$	−4.09183	+	6.36702i	−0.368948	+	0.574095i
$124$	11.4611	+	1.17164i	1.02923	+	0.105216i
$125$	−3.22348	+	10.9782i	−0.288317	+	0.981917i
$126$	1.15569	+	0.960723i	0.102957	+	0.0855880i
$127$	6.52975	−	5.65806i	0.579421	−	0.502071i	−0.315123	−	0.949051i	$-0.602046\pi$
$127$	6.52975	−	5.65806i	0.579421	−	0.502071i	0.894544	+	0.446980i	$0.147500\pi$
$128$	7.40512	−	8.55360i	0.654527	−	0.756039i
$129$	−10.9844	−	5.01641i	−0.967123	−	0.441670i
$130$	0.768065	−	1.77719i	0.0673638	−	0.155870i
$131$	−4.96383	−	16.9053i	−0.433692	−	1.47702i	−0.829407	−	0.558645i	$-0.811321\pi$
$131$	−4.96383	−	16.9053i	−0.433692	−	1.47702i	0.395715	−	0.918374i	$-0.370497\pi$
$132$	−0.995573	+	0.184999i	−0.0866535	+	0.0161021i
$133$	0.229816	+	0.503228i	0.0199276	+	0.0436354i
$134$	3.60879	+	11.4205i	0.311752	+	0.986584i
$135$	−1.83356	+	1.17836i	−0.157808	+	0.101417i
$136$	−2.19794	−	0.501227i	−0.188472	−	0.0429799i
$137$		−	13.6566i		−	1.16676i	−0.812199	−	0.583380i	$-0.801730\pi$
$137$		−	13.6566i		−	1.16676i	0.812199	−	0.583380i	$-0.198270\pi$
$138$	−0.849066	−	6.72897i	−0.0722773	−	0.572808i
$139$			0.898545i			0.0762136i	0.999274	+	0.0381068i	$0.0121327\pi$
$139$			0.898545i			0.0762136i	−0.999274	+	0.0381068i	$0.987867\pi$
$140$	−4.28898	−	1.75035i	−0.362485	−	0.147931i
$141$	1.98339	−	1.27465i	0.167032	−	0.107345i
$142$	5.30586	−	1.67661i	0.445258	−	0.140698i
$143$	−0.132109	−	0.289278i	−0.0110475	−	0.0241906i
$144$	−1.95359	−	3.49049i	−0.162799	−	0.290874i
$145$	−0.363790	−	1.23896i	−0.0302111	−	0.102890i
$146$	−10.3307	−	4.46471i	−0.854974	−	0.369502i
$147$	−5.34017	−	2.43877i	−0.440450	−	0.201147i
$148$	−0.251386	−	6.13899i	−0.0206638	−	0.504622i
$149$	4.04936	−	3.50879i	0.331736	−	0.287451i	−0.473026	−	0.881049i	$-0.656838\pi$
$149$	4.04936	−	3.50879i	0.331736	−	0.287451i	0.804762	+	0.593597i	$0.202293\pi$
$150$	−0.225566	+	0.271342i	−0.0184174	+	0.0221550i
$151$	5.30340	−	18.0617i	0.431585	−	1.46984i	−0.401068	−	0.916048i	$-0.631361\pi$
$151$	5.30340	−	18.0617i	0.431585	−	1.46984i	0.832653	−	0.553795i	$-0.186821\pi$
$152$	−0.0903353	−	1.46967i	−0.00732716	−	0.119206i
$153$	−0.430912	+	0.670512i	−0.0348372	+	0.0542077i
$154$	−0.685539	+	0.330191i	−0.0552423	+	0.0266076i
$155$	−1.78678	+	12.4274i	−0.143518	+	0.998190i
$156$	0.914932	−	0.860802i	0.0732532	−	0.0689193i
$157$	−10.4935	+	1.50873i	−0.837469	+	0.120410i	−0.547688	−	0.836683i	$-0.684492\pi$
$157$	−10.4935	+	1.50873i	−0.837469	+	0.120410i	−0.289782	+	0.957093i	$0.593583\pi$
$158$	9.02349	−	8.14807i	0.717870	−	0.648225i
$159$	−5.52521	+	6.37644i	−0.438178	+	0.505684i
$160$	8.98357	+	8.44460i	0.710214	+	0.667604i
$161$	−1.94070	−	4.71251i	−0.152949	−	0.371398i
$162$	−1.39541	+	0.229864i	−0.109634	+	0.0180598i
$163$	11.9006	+	10.3119i	0.932129	+	0.807694i	0.981574	−	0.191083i	$-0.0611999\pi$
$163$	11.9006	+	10.3119i	0.932129	+	0.807694i	−0.0494454	+	0.998777i	$0.515745\pi$
$164$	9.43626	−	11.8358i	0.736848	−	0.924217i
$165$	−0.157049	−	1.09230i	−0.0122262	−	0.0850352i
$166$	−3.58771	−	5.33912i	−0.278460	−	0.414396i
$167$	−13.7095	−	1.97112i	−1.06087	−	0.152530i	−0.410280	−	0.911960i	$-0.634569\pi$
$167$	−13.7095	−	1.97112i	−1.06087	−	0.152530i	−0.650590	+	0.759430i	$0.725478\pi$
$168$	−2.10399	−	2.14655i	−0.162327	−	0.165610i
$169$	−10.6044	−	6.81504i	−0.815723	−	0.524234i
$170$	0.643773	−	2.37092i	0.0493751	−	0.181841i
$171$	−0.499499	−	0.146666i	−0.0381976	−	0.0112158i
$172$	20.8346	+	12.2150i	1.58862	+	0.931383i
$173$	0.533473	+	0.615660i	0.0405592	+	0.0468078i	0.775667	−	0.631143i	$-0.217414\pi$
$173$	0.533473	+	0.615660i	0.0405592	+	0.0468078i	−0.735108	+	0.677951i	$0.762868\pi$
$174$	0.102243	−	0.831575i	0.00775099	−	0.0630415i
$175$	−0.110146	+	0.241186i	−0.00832626	+	0.0182320i
$176$	2.01845	−	0.165585i	0.152146	−	0.0124814i
$177$	14.0047	−	4.11215i	1.05266	−	0.309088i
$178$	−19.4744	+	0.398563i	−1.45967	+	0.0298736i
$179$	6.45404	−	2.94746i	0.482398	−	0.220304i	−0.159346	−	0.987223i	$-0.550939\pi$
$179$	6.45404	−	2.94746i	0.482398	−	0.220304i	0.641744	+	0.766919i	$0.278211\pi$
$180$	3.88779	−	1.97157i	0.289779	−	0.146952i
$181$	12.4147	+	19.3177i	0.922781	+	1.43587i	0.899880	+	0.436137i	$0.143654\pi$
$181$	12.4147	+	19.3177i	0.922781	+	1.43587i	0.0229003	+	0.999738i	$0.492710\pi$
$182$	0.493990	−	0.804390i	0.0366170	−	0.0596253i
$183$	−3.99470			−0.295297
$184$	0.320690	+	13.5609i	0.0236416	+	0.999720i
$185$	6.69576			0.492282
$186$	−4.26315	+	6.94190i	−0.312589	+	0.509005i
$187$	−0.218174	−	0.339485i	−0.0159545	−	0.0248256i
$188$	−4.20548	+	2.13267i	−0.306716	+	0.155541i
$189$	−0.966655	+	0.441457i	−0.0703138	+	0.0321113i
$190$	1.60430	−	0.0328336i	0.116388	−	0.00238200i
$191$	−12.0192	+	3.52915i	−0.869678	+	0.255360i	−0.685978	−	0.727622i	$-0.740626\pi$
$191$	−12.0192	+	3.52915i	−0.869678	+	0.255360i	−0.183700	+	0.982982i	$0.558807\pi$
$192$	3.17697	+	7.34213i	0.229278	+	0.529873i
$193$	6.51431	−	14.2644i	0.468911	−	1.02677i	−0.516455	−	0.856315i	$-0.672749\pi$
$193$	6.51431	−	14.2644i	0.468911	−	1.02677i	0.985365	−	0.170456i	$-0.0545242\pi$
$194$	1.32395	−	10.7682i	0.0950542	−	0.773109i
$195$	0.896506	+	1.03462i	0.0642001	+	0.0740909i
$196$	10.1289	+	5.93842i	0.723495	+	0.424173i
$197$	4.12137	+	1.21014i	0.293636	+	0.0862192i	0.425233	−	0.905084i	$-0.360192\pi$
$197$	4.12137	+	1.21014i	0.293636	+	0.0862192i	−0.131597	+	0.991303i	$0.542010\pi$
$198$	0.187628	−	0.691007i	0.0133342	−	0.0491077i
$199$	19.1877	+	12.3312i	1.36018	+	0.874136i	0.998311	−	0.0580920i	$-0.0185017\pi$
$199$	19.1877	+	12.3312i	1.36018	+	0.874136i	0.361871	+	0.932228i	$0.382138\pi$
$200$	0.503982	−	0.493992i	0.0356369	−	0.0349305i
$201$	−8.38291	−	1.20528i	−0.591285	−	0.0850140i
$202$	−0.272204	−	0.405086i	−0.0191522	−	0.0285017i
$203$	−0.0895985	−	0.623171i	−0.00628858	−	0.0437380i
$204$	0.993734	−	1.24643i	0.0695753	−	0.0872673i
$205$	12.4668	+	10.8026i	0.870722	+	0.754485i
$206$	2.31415	−	0.381208i	0.161234	−	0.0265600i
$207$	4.54730	+	1.52383i	0.316059	+	0.105913i
$208$	−1.99546	+	1.52659i	−0.138360	+	0.105850i
$209$	0.172606	−	0.199198i	0.0119394	−	0.0137788i
$210$	2.43112	−	2.19526i	0.167763	−	0.151488i
$211$	6.19317	−	0.890443i	0.426355	−	0.0613006i	0.0742026	−	0.997243i	$-0.476359\pi$
$211$	6.19317	−	0.890443i	0.426355	−	0.0613006i	0.352153	+	0.935943i	$0.385450\pi$
$212$	12.2901	−	11.5630i	0.844085	−	0.794147i
$213$	−0.559961	+	3.89462i	−0.0383679	+	0.266855i
$214$	16.1867	−	7.79638i	1.10650	−	0.532950i
$215$	−14.2295	+	22.1415i	−0.970443	+	1.51004i
$216$	2.82310	−	0.173526i	0.192088	−	0.0118069i
$217$	−1.72463	+	5.87355i	−0.117075	+	0.398722i
$218$	−11.4631	+	13.7894i	−0.776376	+	0.933934i
$219$	6.01419	−	5.21133i	0.406402	−	0.352149i
$220$	0.0903013	+	2.20521i	0.00608811	+	0.148675i
$221$	0.455386	+	0.207968i	0.0306326	+	0.0139894i
$222$	3.98805	+	1.72355i	0.267661	+	0.115677i
$223$	−3.39033	−	11.5464i	−0.227034	−	0.773205i	−0.991677	−	0.128752i	$-0.958903\pi$
$223$	−3.39033	−	11.5464i	−0.227034	−	0.773205i	0.764643	−	0.644454i	$-0.222915\pi$
$224$	3.74958	+	4.69878i	0.250529	+	0.313950i
$225$	−0.103649	−	0.226959i	−0.00690990	−	0.0151306i
$226$	−17.0476	+	5.38688i	−1.13399	+	0.358330i
$227$	8.62432	−	5.54252i	0.572417	−	0.367870i	−0.222182	−	0.975005i	$-0.571318\pi$
$227$	8.62432	−	5.54252i	0.572417	−	0.367870i	0.794598	+	0.607135i	$0.207681\pi$
$228$	0.963987	+	0.393407i	0.0638416	+	0.0260540i
$229$			9.31716i			0.615695i	0.951436	+	0.307848i	$0.0996087\pi$
$229$			9.31716i			0.615695i	−0.951436	+	0.307848i	$0.900391\pi$
$230$	−14.7803	−	0.255464i	−0.974585	−	0.0168448i
$231$		−	0.538047i		−	0.0354009i
$232$	−0.372563	+	1.63373i	−0.0244600	+	0.107260i
$233$	9.19662	−	5.91031i	0.602491	−	0.387197i	−0.203544	−	0.979066i	$-0.565246\pi$
$233$	9.19662	−	5.91031i	0.602491	−	0.387197i	0.806034	+	0.591869i	$0.201610\pi$
$234$	0.267644	+	0.846999i	0.0174965	+	0.0553700i
$235$	−2.13469	−	4.67431i	−0.139252	−	0.304918i
$236$	−28.7006	+	5.33318i	−1.86825	+	0.347161i
$237$	2.42203	+	8.24869i	0.157328	+	0.535810i
$238$	0.475204	−	1.09955i	0.0308029	−	0.0712733i
$239$	−17.6809	−	8.07459i	−1.14368	−	0.522302i	−0.248778	−	0.968561i	$-0.580029\pi$
$239$	−17.6809	−	8.07459i	−1.14368	−	0.522302i	−0.894904	+	0.446259i	$0.852756\pi$
$240$	−8.13627	+	3.13193i	−0.525194	+	0.202165i
$241$	−2.88400	+	2.49900i	−0.185775	+	0.160975i	−0.742783	−	0.669532i	$-0.766495\pi$
$241$	−2.88400	+	2.49900i	−0.185775	+	0.160975i	0.557008	+	0.830507i	$0.311949\pi$
$242$	−11.6839	−	9.71280i	−0.751070	−	0.624362i
$243$	0.281733	−	0.959493i	0.0180732	−	0.0615515i
$244$	7.94798	+	0.812501i	0.508817	+	0.0520150i
$245$	−6.91779	+	10.7643i	−0.441962	+	0.687706i
$246$	4.64467	+	9.64319i	0.296133	+	0.614827i
$247$	−0.0465348	+	0.323656i	−0.00296094	+	0.0205938i
$248$	9.89403	−	12.9447i	0.628272	−	0.821991i
$249$	4.50221	−	0.647320i	0.285316	−	0.0410223i
$250$	10.8442	+	12.0093i	0.685850	+	0.759537i
$251$	−17.0488	+	19.6754i	−1.07611	+	1.24190i	−0.107266	+	0.994230i	$0.534210\pi$
$251$	−17.0488	+	19.6754i	−1.07611	+	1.24190i	−0.968845	+	0.247668i	$0.920336\pi$
$252$	2.01308	−	0.681723i	0.126812	−	0.0429445i
$253$	−1.65823	+	1.77377i	−0.104252	+	0.111516i
$254$	−1.98605	−	12.0564i	−0.124616	−	0.756489i
$255$	1.31289	+	1.13762i	0.0822161	+	0.0712406i
$256$	−4.82764	−	15.2543i	−0.301728	−	0.953394i
$257$	0.931662	+	6.47985i	0.0581155	+	0.404202i	0.998027	+	0.0627843i	$0.0199980\pi$
$257$	0.931662	+	6.47985i	0.0581155	+	0.404202i	−0.939912	+	0.341418i	$0.889093\pi$
$258$	−14.1746	+	9.52486i	−0.882474	+	0.592992i
$259$	3.23142	+	0.464608i	0.200791	+	0.0288694i
$260$	−1.57328	−	2.24086i	−0.0975706	−	0.138972i
$261$	0.498392	+	0.320297i	0.0308497	+	0.0198259i
$262$	−24.0463	−	6.52926i	−1.48558	−	0.403379i
$263$	9.60462	+	2.82017i	0.592246	+	0.173899i	0.564102	−	0.825705i	$-0.309222\pi$
$263$	9.60462	+	2.82017i	0.592246	+	0.173899i	0.0281435	+	0.999604i	$0.491040\pi$
$264$	−0.513858	+	1.33669i	−0.0316258	+	0.0822673i
$265$	12.0426	+	13.8978i	0.739768	+	0.853738i
$266$	0.776526	+	0.0954742i	0.0476118	+	0.00585390i
$267$	5.72168	−	12.5287i	0.350161	−	0.766745i
$268$	16.4338	+	4.10310i	1.00385	+	0.250637i
$269$	−23.5664	+	6.91971i	−1.43687	+	0.421902i	−0.905176	−	0.425037i	$-0.860261\pi$
$269$	−23.5664	+	6.91971i	−1.43687	+	0.421902i	−0.531690	+	0.846939i	$0.678443\pi$
$270$	0.0630703	+	3.08172i	0.00383834	+	0.187548i
$271$	13.7505	−	6.27966i	0.835286	−	0.381462i	0.0486019	−	0.998818i	$-0.484523\pi$
$271$	13.7505	−	6.27966i	0.835286	−	0.381462i	0.786684	+	0.617356i	$0.211796\pi$
$272$	−2.23068	+	2.27781i	−0.135255	+	0.138112i
$273$	0.360869	+	0.561523i	0.0218408	+	0.0339849i
$274$	−16.4576	−	10.1069i	−0.994243	−	0.610582i
$275$	0.126327			0.00761779
$276$	−8.73751	−	3.95675i	−0.525936	−	0.238168i
$277$	24.0904			1.44745			0.723724	−	0.690089i	$-0.242429\pi$
$277$	24.0904			1.44745			0.723724	+	0.690089i	$0.242429\pi$
$278$	1.08284	+	0.664993i	0.0649446	+	0.0398836i
$279$	−3.11431	−	4.84596i	−0.186449	−	0.290120i
$280$	−5.28354	+	3.87329i	−0.315752	+	0.231473i
$281$	−4.57258	+	2.08823i	−0.272777	+	0.124573i	−0.547107	−	0.837062i	$-0.684271\pi$
$281$	−4.57258	+	2.08823i	−0.272777	+	0.124573i	0.274330	+	0.961636i	$0.411544\pi$
$282$	−0.0682241	−	3.33354i	−0.00406269	−	0.198510i
$283$	−17.7181	+	5.20252i	−1.05323	+	0.309258i	−0.762124	−	0.647432i	$-0.775843\pi$
$283$	−17.7181	+	5.20252i	−1.05323	+	0.309258i	−0.291111	+	0.956689i	$0.594025\pi$
$284$	1.90626	−	7.63496i	0.113116	−	0.453051i
$285$	−0.471351	+	1.03211i	−0.0279204	+	0.0611372i
$286$	−0.446381	−	0.0548828i	−0.0263951	−	0.00324529i
$287$	5.26701	+	6.07845i	0.310902	+	0.358800i
$288$	−5.65222	−	0.228951i	−0.333060	−	0.0134911i
$289$	−15.7018	−	4.61048i	−0.923638	−	0.271205i
$290$	−1.76231	−	0.478517i	−0.103486	−	0.0280995i
$291$	6.45374	+	4.14757i	0.378325	+	0.243135i
$292$	−13.0260	+	9.14536i	−0.762288	+	0.535192i
$293$	28.4879	+	4.09595i	1.66428	+	0.239288i	0.909206	−	0.416348i	$-0.136690\pi$
$293$	28.4879	+	4.09595i	1.66428	+	0.239288i	0.755078	+	0.655635i	$0.227599\pi$
$294$	−6.89113	+	4.63060i	−0.401899	+	0.270062i
$295$	−4.52743	−	31.4890i	−0.263597	−	1.83336i
$296$	−7.58419	−	4.24038i	−0.440822	−	0.246467i
$297$	0.382642	+	0.331561i	0.0222031	+	0.0192391i
$298$	−1.23163	−	7.47669i	−0.0713462	−	0.433113i
$299$	0.540907	−	2.96334i	0.0312814	−	0.171374i
$300$	0.160060	+	0.472646i	0.00924108	+	0.0272882i
$301$	−8.40361	+	9.69828i	−0.484376	+	0.559000i
$302$	−17.8414	−	19.7583i	−1.02666	−	1.13696i
$303$	0.341588	−	0.0491130i	0.0196237	−	0.00282147i
$304$	−1.83796	−	0.978804i	−0.105414	−	0.0561383i
$305$	−1.23909	+	8.61808i	−0.0709502	+	0.493470i
$306$	0.489131	+	1.01553i	0.0279617	+	0.0580538i
$307$	−15.3605	+	23.9015i	−0.876672	+	1.36413i	0.0541029	+	0.998535i	$0.482770\pi$
$307$	−15.3605	+	23.9015i	−0.876672	+	1.36413i	−0.930775	+	0.365593i	$0.880866\pi$
$308$	−0.109436	+	1.07052i	−0.00623570	+	0.0609983i
$309$	−0.467226	+	1.59123i	−0.0265796	+	0.0905218i
$310$	13.6539	+	11.3505i	0.775492	+	0.644664i
$311$	15.7500	−	13.6475i	0.893103	−	0.773878i	−0.0817671	−	0.996651i	$-0.526056\pi$
$311$	15.7500	−	13.6475i	0.893103	−	0.773878i	0.974870	+	0.222773i	$0.0715109\pi$
$312$	−0.360238	−	1.73965i	−0.0203945	−	0.0984884i
$313$	0.350972	+	0.160284i	0.0198381	+	0.00905977i	0.425309	−	0.905048i	$-0.360165\pi$
$313$	0.350972	+	0.160284i	0.0198381	+	0.00905977i	−0.405471	+	0.914108i	$0.632893\pi$
$314$	−5.94779	+	13.7623i	−0.335653	+	0.776653i
$315$	0.652548	+	2.22237i	0.0367669	+	0.125217i
$316$	−3.14121	−	16.9045i	−0.176707	−	0.950951i
$317$	13.2284	+	28.9662i	0.742981	+	1.62690i	0.778588	+	0.627536i	$0.215936\pi$
$317$	13.2284	+	28.9662i	0.742981	+	1.62690i	−0.0356064	+	0.999366i	$0.511336\pi$
$318$	3.59520	+	11.3775i	0.201609	+	0.638021i
$319$	−0.252340	+	0.162169i	−0.0141283	+	0.00907972i
$320$	16.8252	−	4.57651i	0.940557	−	0.255835i
$321$			12.7042i			0.709080i
$322$	−7.11535	−	1.14887i	−0.396523	−	0.0640241i
$323$			0.414928i			0.0230872i
$324$	−0.755700	+	1.85173i	−0.0419833	+	0.102874i
$325$	−0.131839	+	0.0847275i	−0.00731309	+	0.00469984i
$326$	21.2344	−	6.70988i	1.17606	−	0.371626i
$327$	−5.26733	−	11.5338i	−0.291284	−	0.637823i
$328$	−7.27979	−	20.1311i	−0.401959	−	1.11155i
$329$	−0.705871	−	2.40398i	−0.0389159	−	0.132535i
$330$	−1.43256	−	0.619125i	−0.0788600	−	0.0340817i
$331$	−18.5171	−	8.45649i	−1.01779	−	0.464810i	−0.164575	−	0.986365i	$-0.552625\pi$
$331$	−18.5171	−	8.45649i	−1.01779	−	0.464810i	−0.853218	+	0.521554i	$0.825352\pi$
$332$	−9.08940	+	0.372202i	−0.498846	+	0.0204273i
$333$	−2.32171	+	2.01178i	−0.127229	+	0.110245i
$334$	−12.5215	+	15.0626i	−0.685145	+	0.824188i
$335$	−5.20049	+	17.7113i	−0.284133	+	0.967669i
$336$	−4.14394	+	0.946928i	−0.226070	+	0.0516592i
$337$	−4.00154	+	6.22652i	−0.217978	+	0.339180i	−0.932971	−	0.359951i	$-0.882793\pi$
$337$	−4.00154	+	6.22652i	−0.217978	+	0.339180i	0.714993	+	0.699131i	$0.246430\pi$
$338$	−16.0609	+	7.73579i	−0.873600	+	0.420772i
$339$	1.79914	−	12.5133i	0.0977157	−	0.679628i
$340$	−2.38077	−	2.53048i	−0.129115	−	0.137235i
$341$	2.88685	−	0.415066i	0.156332	−	0.0224771i
$342$	−0.546417	+	0.493406i	−0.0295468	+	0.0266803i
$343$	−8.95688	+	10.3368i	−0.483626	+	0.558134i
$344$	30.1396	−	16.0679i	1.62502	−	0.866323i
$345$	4.69797	−	9.33758i	0.252930	−	0.502719i
$346$	1.13675	−	0.187255i	0.0611120	−	0.0100669i
$347$	15.2352	+	13.2014i	0.817870	+	0.708688i	0.959646	−	0.281211i	$-0.0907360\pi$
$347$	15.2352	+	13.2014i	0.817870	+	0.708688i	−0.141777	+	0.989899i	$0.545281\pi$
$348$	−0.926470	−	0.738644i	−0.0496640	−	0.0395955i
$349$	0.967169	+	6.72681i	0.0517714	+	0.360078i	0.999196	+	0.0400981i	$0.0127670\pi$
$349$	0.967169	+	6.72681i	0.0517714	+	0.360078i	−0.947424	+	0.319980i	$0.896324\pi$
$350$	0.209139	+	0.311235i	0.0111789	+	0.0166362i
$351$	−0.621715	−	0.0893892i	−0.0331847	−	0.00477124i
$352$	1.29426	−	2.55500i	0.0689845	−	0.136182i
$353$	7.44404	+	4.78400i	0.396206	+	0.254626i	0.723540	−	0.690282i	$-0.242514\pi$
$353$	7.44404	+	4.78400i	0.396206	+	0.254626i	−0.327334	+	0.944909i	$0.606150\pi$
$354$	5.40899	−	19.9205i	0.287484	−	1.05876i
$355$	8.22847	+	2.41610i	0.436722	+	0.128233i
$356$	−13.9323	+	23.7638i	−0.738410	+	1.25948i
$357$	0.554670	+	0.640123i	0.0293562	+	0.0338789i
$358$	1.22448	−	9.95916i	0.0647160	−	0.526358i
$359$	−7.90758	+	17.3152i	−0.417346	+	0.913860i	0.577867	+	0.816131i	$0.303885\pi$
$359$	−7.90758	+	17.3152i	−0.417346	+	0.913860i	−0.995213	+	0.0977293i	$0.968842\pi$
$360$	0.501319	−	6.14432i	0.0264218	−	0.323834i
$361$	17.9703	−	5.27657i	0.945807	−	0.277714i
$362$	32.4678	−	0.664484i	1.70647	−	0.0349245i
$363$	9.77277	−	4.46307i	0.512937	−	0.234251i
$364$	−0.603785	−	1.19062i	−0.0316469	−	0.0624056i
$365$	−9.37730	−	14.5914i	−0.490830	−	0.763747i
$366$	−2.95639	+	4.81404i	−0.154533	+	0.251634i
$367$	−14.5622			−0.760140			−0.380070	−	0.924958i	$-0.624100\pi$
$367$	−14.5622			−0.760140			−0.380070	+	0.924958i	$0.624100\pi$
$368$	16.5796	+	9.64963i	0.864274	+	0.503022i
$369$	−7.56849			−0.394000
$370$	4.95539	−	8.06912i	0.257618	−	0.419493i
$371$	4.84747	+	7.54281i	0.251668	+	0.391603i
$372$	5.21068	+	10.2751i	0.270161	+	0.532739i
$373$	13.0528	−	5.96101i	0.675848	−	0.308650i	−0.0477615	−	0.998859i	$-0.515209\pi$
$373$	13.0528	−	5.96101i	0.675848	−	0.308650i	0.723610	+	0.690209i	$0.242481\pi$
$374$	−0.570582	+	0.0116775i	−0.0295041	+	0.000603829i
$375$	−10.9782	+	3.22348i	−0.566910	+	0.166460i
$376$	−0.542285	+	6.64640i	−0.0279662	+	0.342762i
$377$	0.154583	−	0.338489i	0.00796142	−	0.0174331i
$378$	−0.183398	+	1.49164i	−0.00943295	+	0.0767215i
$379$	8.18621	+	9.44739i	0.420497	+	0.485280i	0.925988	−	0.377552i	$-0.123234\pi$
$379$	8.18621	+	9.44739i	0.420497	+	0.485280i	−0.505491	+	0.862832i	$0.668689\pi$
$380$	1.14774	−	1.95766i	0.0588779	−	0.100426i
$381$	8.29011	+	2.43419i	0.424715	+	0.124708i
$382$	−4.64213	+	17.0963i	−0.237512	+	0.874721i
$383$	17.0509	+	10.9579i	0.871260	+	0.559924i	0.898138	−	0.439714i	$-0.144920\pi$
$383$	17.0509	+	10.9579i	0.871260	+	0.559924i	−0.0268782	+	0.999639i	$0.508557\pi$
$384$	11.1993	+	1.60516i	0.571510	+	0.0819129i
$385$	−1.16077	−	0.166894i	−0.0591584	−	0.00850569i
$386$	−12.3690	−	18.4072i	−0.629565	−	0.936901i
$387$	−1.71855	−	11.9527i	−0.0873586	−	0.607592i
$388$	−11.9970	−	9.56479i	−0.609054	−	0.485578i
$389$	−20.2295	−	17.5290i	−1.02568	−	0.888754i	−0.0318273	−	0.999493i	$-0.510133\pi$
$389$	−20.2295	−	17.5290i	−1.02568	−	0.888754i	−0.993849	+	0.110739i	$0.964678\pi$
$390$	1.91032	−	0.314684i	0.0967326	−	0.0159347i
$391$	0.144246	−	3.81974i	0.00729486	−	0.193173i
$392$	14.6526	−	7.81156i	0.740070	−	0.394543i
$393$	11.5380	−	13.3155i	0.582013	−	0.671679i
$394$	4.50849	−	4.07110i	0.227135	−	0.205099i
$395$	18.5468	−	2.66663i	0.933192	−	0.134173i
$396$	−0.693878	−	0.737511i	−0.0348687	−	0.0370613i
$397$	2.04965	−	14.2556i	0.102869	−	0.715468i	−0.871481	−	0.490429i	$-0.836840\pi$
$397$	2.04965	−	14.2556i	0.102869	−	0.715468i	0.974350	−	0.225039i	$-0.0722510\pi$
$398$	29.0609	−	13.9972i	1.45669	−	0.701618i
$399$	−0.299094	+	0.465399i	−0.0149734	+	0.0232991i
$400$	−0.222327	−	0.972945i	−0.0111163	−	0.0486473i
$401$	0.997655	−	3.39770i	0.0498205	−	0.169673i	−0.930825	−	0.365466i	$-0.880910\pi$
$401$	0.997655	−	3.39770i	0.0498205	−	0.169673i	0.980645	+	0.195793i	$0.0627279\pi$
$402$	−7.65650	+	9.21031i	−0.381872	+	0.459369i
$403$	−2.73442	+	2.36939i	−0.136211	+	0.118028i
$404$	−0.689624	+	0.0282394i	−0.0343101	+	0.00140496i
$405$	−1.98260	−	0.905423i	−0.0985162	−	0.0449908i
$406$	−0.817298	−	0.353219i	−0.0405618	−	0.0175300i
$407$	−0.438210	−	1.49241i	−0.0217213	−	0.0739758i
$408$	−0.766637	−	2.12001i	−0.0379542	−	0.104956i
$409$	−13.1813	−	28.8630i	−0.651773	−	1.42718i	−0.889994	−	0.455972i	$-0.849292\pi$
$409$	−13.1813	−	28.8630i	−0.651773	−	1.42718i	0.238221	−	0.971211i	$-0.423436\pi$
$410$	22.2447	−	7.02913i	1.09859	−	0.347144i
$411$	11.4886	−	7.38330i	0.566693	−	0.364191i
$412$	1.25326	−	3.07092i	0.0617435	−	0.151294i
$413$		−	15.5109i		−	0.763244i
$414$	5.20173	−	4.35224i	0.255651	−	0.213901i
$415$		−	9.91376i		−	0.486647i
$416$	0.362905	+	3.53454i	0.0177929	+	0.173295i
$417$	−0.755904	+	0.485790i	−0.0370168	+	0.0237892i
$418$	−0.112313	−	0.355431i	−0.00549342	−	0.0173847i
$419$	−4.75526	−	10.4126i	−0.232310	−	0.508687i	0.757195	−	0.653189i	$-0.226569\pi$
$419$	−4.75526	−	10.4126i	−0.232310	−	0.508687i	−0.989505	+	0.144502i	$0.953842\pi$
$420$	−0.846310	−	4.55443i	−0.0412957	−	0.222233i
$421$	−10.2766	−	34.9990i	−0.500853	−	1.70575i	−0.690009	−	0.723801i	$-0.742394\pi$
$421$	−10.2766	−	34.9990i	−0.500853	−	1.70575i	0.189157	−	0.981947i	$-0.439425\pi$
$422$	3.51035	−	8.12243i	0.170881	−	0.395394i
$423$	2.14461	+	0.979410i	0.104274	+	0.0476205i
$424$	−4.83900	−	23.3683i	−0.235002	−	1.13487i
$425$	−0.150293	+	0.130230i	−0.00729028	+	0.00631706i
$426$	4.27902	+	3.55713i	0.207319	+	0.172344i
$427$	−1.19599	+	4.07316i	−0.0578780	+	0.197114i
$428$	2.58397	−	25.2767i	0.124901	−	1.22179i
$429$	0.171933	−	0.267532i	0.00830098	−	0.0129166i
$430$	16.1520	+	33.5345i	0.778917	+	1.61718i
$431$	−3.18410	+	22.1459i	−0.153373	+	1.06673i	0.757141	+	0.653252i	$0.226596\pi$
$431$	−3.18410	+	22.1459i	−0.153373	+	1.06673i	−0.910514	+	0.413479i	$0.864313\pi$
$432$	1.88020	−	3.53056i	0.0904610	−	0.169864i
$433$	−0.500770	+	0.0719999i	−0.0240655	+	0.00346009i	−0.154337	−	0.988018i	$-0.549324\pi$
$433$	−0.500770	+	0.0719999i	−0.0240655	+	0.00346009i	0.130272	+	0.991478i	$0.458415\pi$
$434$	5.80190	+	6.42525i	0.278500	+	0.308422i
$435$	0.845596	−	0.975870i	0.0405432	−	0.0467894i
$436$	8.13411	+	24.0194i	0.389553	+	1.15032i
$437$	2.42035	−	0.612487i	0.115781	−	0.0292992i
$438$	−1.82924	−	11.1045i	−0.0874044	−	0.530595i
$439$	−22.9203	−	19.8606i	−1.09393	−	0.947894i	−0.0950604	−	0.995472i	$-0.530304\pi$
$439$	−22.9203	−	19.8606i	−1.09393	−	0.947894i	−0.998868	+	0.0475775i	$0.984850\pi$
$440$	2.72435	+	1.52321i	0.129878	+	0.0726160i
$441$	−0.835487	−	5.81094i	−0.0397851	−	0.276711i
$442$	0.587645	−	0.394877i	0.0279514	−	0.0187824i
$443$	17.3116	+	2.48904i	0.822501	+	0.118258i	0.540700	−	0.841215i	$-0.318159\pi$
$443$	17.3116	+	2.48904i	0.822501	+	0.118258i	0.281800	+	0.959473i	$0.409068\pi$
$444$	5.02854	−	3.53047i	0.238644	−	0.167549i
$445$	−25.2544	−	16.2300i	−1.19717	−	0.769377i
$446$	−16.4238	−	4.45953i	−0.777689	−	0.211165i
$447$	5.14103	+	1.50954i	0.243162	+	0.0713989i
$448$	8.43751	−	1.04118i	0.398635	−	0.0491912i
$449$	−21.6682	−	25.0065i	−1.02259	−	1.18013i	−0.983503	−	0.180893i	$-0.942101\pi$
$449$	−21.6682	−	25.0065i	−1.02259	−	1.18013i	−0.0390852	−	0.999236i	$-0.512444\pi$
$450$	−0.350218	−	0.0430595i	−0.0165094	−	0.00202984i
$451$	1.59186	−	3.48569i	0.0749579	−	0.164135i
$452$	−6.12475	+	24.5309i	−0.288084	+	1.15383i
$453$	18.0617	−	5.30340i	0.848614	−	0.249176i
$454$	−0.296657	−	14.4951i	−0.0139228	−	0.680290i
$455$	1.32335	−	0.604355i	0.0620398	−	0.0283326i
$456$	1.18752	−	0.870557i	0.0556109	−	0.0407676i
$457$	7.74757	+	12.0555i	0.362416	+	0.563930i	0.973801	−	0.227403i	$-0.0730236\pi$
$457$	7.74757	+	12.0555i	0.362416	+	0.563930i	−0.611385	+	0.791333i	$0.709387\pi$
$458$	11.2282	+	6.89543i	0.524658	+	0.322202i
$459$	−0.797039			−0.0372026
$460$	−11.2464	+	17.6228i	−0.524368	+	0.821667i
$461$	9.14990			0.426153			0.213077	−	0.977035i	$-0.431652\pi$
$461$	9.14990			0.426153			0.213077	+	0.977035i	$0.431652\pi$
$462$	−0.648405	−	0.398197i	−0.0301665	−	0.0185258i
$463$	10.2521	+	15.9526i	0.476455	+	0.741379i	0.993408	−	0.114635i	$-0.0365700\pi$
$463$	10.2521	+	15.9526i	0.476455	+	0.741379i	−0.516952	+	0.856014i	$0.672934\pi$
$464$	1.69310	+	1.65807i	0.0786001	+	0.0769739i
$465$	−11.4206	+	5.21560i	−0.529616	+	0.241868i
$466$	−0.316342	−	15.4570i	−0.0146543	−	0.716032i
$467$	−31.1549	+	9.14789i	−1.44168	+	0.423314i	−0.906780	−	0.421604i	$-0.861467\pi$
$467$	−31.1549	+	9.14789i	−1.44168	+	0.423314i	−0.534895	+	0.844918i	$0.679649\pi$
$468$	1.21880	+	0.304305i	0.0563392	+	0.0140665i
$469$	−3.73875	+	8.18672i	−0.172639	+	0.378027i
$470$	−7.21288	−	0.886827i	−0.332705	−	0.0409063i
$471$	−6.94242	−	8.01198i	−0.319890	−	0.369172i
$472$	−14.8136	+	38.5343i	−0.681852	+	1.77368i
$473$	5.86634	+	1.72251i	0.269735	+	0.0792012i
$474$	11.7331	+	3.18586i	0.538917	+	0.146332i
$475$	−0.109270	−	0.0702235i	−0.00501365	−	0.00322208i
$476$	−0.973390	−	1.38643i	−0.0446153	−	0.0635467i
$477$	−8.35136	−	1.20074i	−0.382382	−	0.0549783i
$478$	−22.8160	+	15.3316i	−1.04358	+	0.701249i
$479$	−5.84807	−	40.6742i	−0.267205	−	1.85845i	−0.474608	−	0.880197i	$-0.657410\pi$
$479$	−5.84807	−	40.6742i	−0.267205	−	1.85845i	0.207403	−	0.978256i	$-0.433499\pi$
$480$	−2.24716	+	12.1230i	−0.102568	+	0.553335i
$481$	1.45829	+	1.26361i	0.0664922	+	0.0576158i
$482$	0.877180	+	5.32499i	0.0399544	+	0.242547i
$483$	2.91519	−	4.18040i	0.132646	−	0.190215i
$484$	−20.3520	+	6.89214i	−0.925090	+	0.313279i
$485$	10.9497	−	12.6366i	0.497201	−	0.573801i
$486$	−0.947788	−	1.04962i	−0.0429925	−	0.0476116i
$487$	21.9744	−	3.15944i	0.995755	−	0.143168i	0.374876	−	0.927075i	$-0.377685\pi$
$487$	21.9744	−	3.15944i	0.995755	−	0.143168i	0.620878	+	0.783907i	$0.286776\pi$
$488$	6.86128	−	8.97686i	0.310595	−	0.406363i
$489$	−2.24100	+	15.5865i	−0.101342	+	0.704846i
$490$	7.85243	+	16.3031i	0.354737	+	0.736499i
$491$	−13.0916	+	20.3709i	−0.590814	+	0.919324i	0.409163	+	0.912461i	$0.365821\pi$
$491$	−13.0916	+	20.3709i	−0.590814	+	0.919324i	−0.999976	+	0.00686245i	$0.997816\pi$
$492$	15.0585	+	1.53939i	0.678889	+	0.0694011i
$493$	0.133034	−	0.453071i	0.00599153	−	0.0204053i
$494$	0.355601	+	0.295610i	0.0159993	+	0.0133001i
$495$	0.833992	−	0.722658i	0.0374851	−	0.0324811i
$496$	−8.27743	−	21.5035i	−0.371667	−	0.965535i
$497$	3.80347	+	1.73699i	0.170609	+	0.0779144i
$498$	2.55190	−	5.90472i	0.114353	−	0.264597i
$499$	−1.09718	−	3.73664i	−0.0491164	−	0.167275i	0.931283	−	0.364298i	$-0.118691\pi$
$499$	−1.09718	−	3.73664i	−0.0491164	−	0.167275i	−0.980399	+	0.197023i	$0.936873\pi$
$500$	22.4981	−	4.18063i	1.00615	−	0.186964i
$501$	−5.75368	−	12.5988i	−0.257055	−	0.562873i
$502$	11.0935	+	35.1070i	0.495127	+	1.56690i
$503$	8.83439	−	5.67751i	0.393906	−	0.253148i	−0.328662	−	0.944447i	$-0.606598\pi$
$503$	8.83439	−	5.67751i	0.393906	−	0.253148i	0.722568	+	0.691300i	$0.242961\pi$
$504$	0.668284	−	2.93050i	0.0297678	−	0.130535i
$505$		−	0.752169i		−	0.0334711i
$506$	0.910370	+	3.31107i	0.0404709	+	0.147195i
$507$		−	12.6055i		−	0.559829i
$508$	−15.9991	−	6.52931i	−0.709847	−	0.289691i
$509$	−25.0814	+	16.1188i	−1.11171	+	0.714454i	−0.961666	−	0.274224i	$-0.911579\pi$
$509$	−25.0814	+	16.1188i	−1.11171	+	0.714454i	−0.150047	+	0.988679i	$0.547943\pi$
$510$	2.34259	−	0.740240i	0.103732	−	0.0327784i
$511$	−3.51308	−	7.69257i	−0.155409	−	0.340299i
$512$	−21.9559	−	5.47155i	−0.970324	−	0.241810i
$513$	−0.146666	−	0.499499i	−0.00647547	−	0.0220534i
$514$	8.49842	+	3.67284i	0.374849	+	0.162002i
$515$	3.28795	+	1.50156i	0.144884	+	0.0661665i
$516$	0.988145	+	24.1311i	0.0435007	+	1.06231i
$517$	−0.902142	+	0.781710i	−0.0396761	+	0.0343796i
$518$	2.95141	−	3.55036i	0.129677	−	0.155994i
$519$	−0.229509	+	0.781637i	−0.0100743	+	0.0343101i
$520$	−3.86483	+	0.237557i	−0.169484	+	0.0104176i
$521$	−10.4850	+	16.3150i	−0.459357	+	0.714774i	−0.991244	−	0.132041i	$-0.957847\pi$
$521$	−10.4850	+	16.3150i	−0.459357	+	0.714774i	0.531887	+	0.846815i	$0.321483\pi$
$522$	0.754842	−	0.363571i	0.0330385	−	0.0159131i
$523$	−1.30288	+	9.06171i	−0.0569708	+	0.396241i	0.941306	+	0.337555i	$0.109600\pi$
$523$	−1.30288	+	9.06171i	−0.0569708	+	0.396241i	−0.998277	+	0.0586854i	$0.981309\pi$
$524$	−25.6646	+	24.1462i	−1.12116	+	1.05483i
$525$	−0.262448	+	0.0377344i	−0.0114542	+	0.00164686i
$526$	10.5068	−	9.48745i	0.458117	−	0.413673i
$527$	−3.00664	+	3.46985i	−0.130971	+	0.151149i
$528$	1.23056	+	1.60851i	0.0535531	+	0.0700013i
$529$	−22.4942	+	4.79702i	−0.978008	+	0.208566i
$530$	25.6608	−	4.22708i	1.11464	−	0.183613i
$531$	11.0309	+	9.55831i	0.478699	+	0.414795i
$532$	0.689746	−	0.865138i	0.0299043	−	0.0375085i
$533$	0.676541	+	4.70544i	0.0293042	+	0.203815i
$534$	−10.8640	−	16.1675i	−0.470130	−	0.699635i
$535$	27.4078	+	3.94064i	1.18494	+	0.170369i
$536$	17.1069	−	16.7678i	0.738907	−	0.724260i
$537$	5.96888	+	3.83597i	0.257576	+	0.165534i
$538$	−9.10195	+	33.5211i	−0.392413	+	1.44520i
$539$	2.85197	+	0.837415i	0.122843	+	0.0360700i
$540$	3.76048	+	2.20471i	0.161825	+	0.0948755i
$541$	16.4444	+	18.9779i	0.707001	+	0.815922i	0.989680	−	0.143292i	$-0.0457689\pi$
$541$	16.4444	+	18.9779i	0.707001	+	0.815922i	−0.282680	+	0.959214i	$0.591223\pi$
$542$	2.60880	−	21.2183i	0.112058	−	0.911405i
$543$	−9.53918	+	20.8879i	−0.409365	+	0.896385i
$544$	1.09413	+	4.37396i	0.0469102	+	0.187532i
$545$	−26.5167	+	7.78600i	−1.13585	+	0.333516i
$546$	0.943767	−	0.0193151i	0.0403895	−	0.000826609i
$547$	−3.33232	+	1.52182i	−0.142480	+	0.0650683i	−0.485379	−	0.874304i	$-0.661318\pi$
$547$	−3.33232	+	1.52182i	−0.142480	+	0.0650683i	0.342899	+	0.939372i	$0.388591\pi$
$548$	−24.3599	+	12.3533i	−1.04060	+	0.527707i
$549$	−2.15970	−	3.36056i	−0.0921737	−	0.143425i
$550$	0.0934917	−	0.152237i	0.00398650	−	0.00649143i
$551$	0.308416			0.0131390
$552$	−11.2348	+	7.60134i	−0.478183	+	0.323535i
$553$	9.13585			0.388496
$554$	17.8287	−	29.0315i	0.757471	−	1.23343i
$555$	3.62000	+	5.63283i	0.153661	+	0.239101i
$556$	1.60278	−	0.812796i	0.0679729	−	0.0344702i
$557$	−1.82776	+	0.834712i	−0.0774448	+	0.0353679i	−0.453761	−	0.891123i	$-0.649918\pi$
$557$	−1.82776	+	0.834712i	−0.0774448	+	0.0353679i	0.376316	+	0.926491i	$0.377191\pi$
$558$	−8.14473	+	0.166690i	−0.344794	+	0.00705653i
$559$	−7.27758	+	2.13689i	−0.307809	+	0.0903809i
$560$	0.757498	+	9.23377i	0.0320101	+	0.390198i
$561$	0.167639	−	0.367079i	0.00707774	−	0.0154981i
$562$	−0.867527	+	7.05590i	−0.0365944	+	0.297635i
$563$	−10.8840	−	12.5608i	−0.458707	−	0.529376i	0.478529	−	0.878072i	$-0.341170\pi$
$563$	−10.8840	−	12.5608i	−0.458707	−	0.529376i	−0.937236	+	0.348696i	$0.886625\pi$
$564$	−4.06777	−	2.38487i	−0.171284	−	0.100421i
$565$	−26.4378	−	7.76284i	−1.11225	−	0.326585i
$566$	−6.84322	+	25.2025i	−0.287642	+	1.05934i
$567$	−0.893990	−	0.574533i	−0.0375441	−	0.0241281i
$568$	−7.79016	−	7.94771i	−0.326868	−	0.333479i
$569$	4.85488	+	0.698027i	0.203527	+	0.0292628i	0.243324	−	0.969945i	$-0.421762\pi$
$569$	4.85488	+	0.698027i	0.203527	+	0.0292628i	−0.0397971	+	0.999208i	$0.512671\pi$
$570$	0.894973	+	1.33187i	0.0374863	+	0.0557861i
$571$	−5.75592	−	40.0333i	−0.240878	−	1.67534i	−0.647746	−	0.761856i	$-0.724288\pi$
$571$	−5.75592	−	40.0333i	−0.240878	−	1.67534i	0.406869	−	0.913487i	$-0.366621\pi$
$572$	−0.396497	+	0.497320i	−0.0165784	+	0.0207940i
$573$	−9.46698	−	8.20318i	−0.395489	−	0.342693i
$574$	11.2232	−	1.84878i	0.468447	−	0.0771668i
$575$	0.981505	+	0.684451i	0.0409316	+	0.0285436i
$576$	−4.45899	+	6.64209i	−0.185791	+	0.276754i
$577$	−25.1157	+	28.9851i	−1.04558	+	1.20667i	−0.0676576	+	0.997709i	$0.521553\pi$
$577$	−25.1157	+	28.9851i	−1.04558	+	1.20667i	−0.977925	+	0.208958i	$0.932993\pi$
$578$	−17.1767	+	15.5103i	−0.714457	+	0.645143i
$579$	15.5218	−	2.23170i	0.645066	−	0.0927465i
$580$	−1.88091	+	1.76963i	−0.0781005	+	0.0734799i
$581$	0.687900	−	4.78445i	0.0285389	−	0.198492i
$582$	9.77454	−	4.70793i	0.405168	−	0.195150i
$583$	2.30953	−	3.59370i	0.0956509	−	0.148836i
$584$	1.38091	+	22.4660i	0.0571423	+	0.929649i
$585$	−0.385692	+	1.31355i	−0.0159464	+	0.0543085i
$586$	26.0194	−	31.2997i	1.07485	−	1.29298i
$587$	7.94848	−	6.88739i	0.328069	−	0.284273i	−0.475215	−	0.879870i	$-0.657630\pi$
$587$	7.94848	−	6.88739i	0.328069	−	0.284273i	0.803284	+	0.595597i	$0.203084\pi$
$588$	0.480396	+	11.7316i	0.0198112	+	0.483801i
$589$	−2.72779	−	1.24574i	−0.112397	−	0.0513298i
$590$	−41.2982	−	17.8483i	−1.70022	−	0.734801i
$591$	1.21014	+	4.12137i	0.0497787	+	0.169531i
$592$	−10.7230	+	6.00155i	−0.440713	+	0.246662i
$593$	7.04328	+	15.4226i	0.289233	+	0.633331i	0.997349	−	0.0727645i	$-0.0231821\pi$
$593$	7.04328	+	15.4226i	0.289233	+	0.633331i	−0.708117	+	0.706096i	$0.750455\pi$
$594$	0.682752	−	0.215744i	0.0280136	−	0.00885207i
$595$	1.55304	−	0.998076i	0.0636683	−	0.0409171i
$596$	−9.92171	−	4.04909i	−0.406409	−	0.165857i
$597$			22.8085i			0.933490i
$598$	−3.17083	−	2.84495i	−0.129665	−	0.116339i
$599$			11.5271i			0.470983i	0.971876	+	0.235492i	$0.0756700\pi$
$599$			11.5271i			0.470983i	−0.971876	+	0.235492i	$0.924330\pi$
$600$	0.688046	+	0.156905i	0.0280894	+	0.00640561i
$601$	20.5962	−	13.2364i	0.840137	−	0.539923i	−0.0483473	−	0.998831i	$-0.515395\pi$
$601$	20.5962	−	13.2364i	0.840137	−	0.539923i	0.888484	+	0.458907i	$0.151759\pi$
$602$	5.46815	+	17.3047i	0.222865	+	0.705288i
$603$	−3.51820	−	7.70378i	−0.143272	−	0.313722i
$604$	−37.0149	+	6.87815i	−1.50611	+	0.279868i
$605$	−6.59718	−	22.4679i	−0.268214	−	0.913451i
$606$	0.193616	−	0.447998i	0.00786510	−	0.0181987i
$607$	5.60218	+	2.55843i	0.227386	+	0.103844i	0.525850	−	0.850577i	$-0.323747\pi$
$607$	5.60218	+	2.55843i	0.227386	+	0.103844i	−0.298465	+	0.954421i	$0.596475\pi$
$608$	−2.53980	+	1.49055i	−0.103002	+	0.0604498i
$609$	0.475804	−	0.412287i	0.0192806	−	0.0167067i
$610$	9.46869	+	7.87129i	0.383376	+	0.318699i
$611$	0.417209	−	1.42088i	0.0168785	−	0.0574828i
$612$	1.58581	+	0.162114i	0.0641027	+	0.00655305i
$613$	14.7354	−	22.9287i	0.595156	−	0.926081i	−0.404776	−	0.914416i	$-0.632651\pi$
$613$	14.7354	−	22.9287i	0.595156	−	0.926081i	0.999932	−	0.0116648i	$-0.00371312\pi$
$614$	17.4358	+	36.2000i	0.703653	+	1.46091i
$615$	−2.34762	+	16.3281i	−0.0946654	+	0.658412i
$616$	1.20910	+	0.924147i	0.0487158	+	0.0372350i
$617$	21.1004	−	3.03378i	0.849470	−	0.122135i	0.296188	−	0.955130i	$-0.404284\pi$
$617$	21.1004	−	3.03378i	0.849470	−	0.122135i	0.553282	+	0.832994i	$0.313375\pi$
$618$	1.57182	+	1.74069i	0.0632277	+	0.0700208i
$619$	−27.6149	+	31.8693i	−1.10994	+	1.28093i	−0.153771	+	0.988107i	$0.549142\pi$
$619$	−27.6149	+	31.8693i	−1.10994	+	1.28093i	−0.956165	+	0.292828i	$0.905404\pi$
$620$	23.7835	−	8.05423i	0.955170	−	0.323466i
$621$	1.17653	+	4.64928i	0.0472126	+	0.186569i
$622$	−4.79044	−	29.0807i	−0.192079	−	1.16603i
$623$	−11.0618	−	9.58508i	−0.443181	−	0.384018i
$624$	−2.36307	−	0.853353i	−0.0945986	−	0.0341614i
$625$	3.37147	+	23.4491i	0.134859	+	0.937963i
$626$	0.452906	−	0.304337i	0.0181018	−	0.0121637i
$627$	0.260894	+	0.0375109i	0.0104191	+	0.00149804i
$628$	12.1833	+	17.3529i	0.486165	+	0.692457i
$629$	2.05986	+	1.32379i	0.0821319	+	0.0527830i
$630$	3.16114	+	0.858340i	0.125943	+	0.0341971i
$631$	41.3934	+	12.1542i	1.64784	+	0.483851i	0.968301	−	0.249785i	$-0.0803601\pi$
$631$	41.3934	+	12.1542i	1.64784	+	0.483851i	0.679543	+	0.733636i	$0.262178\pi$
$632$	−22.6965	−	8.72513i	−0.902817	−	0.347067i
$633$	4.09737	+	4.72862i	0.162856	+	0.187946i
$634$	44.6974	+	5.49557i	1.77516	+	0.218257i
$635$	7.82294	−	17.1298i	0.310444	−	0.679777i
$636$	16.3719	+	4.08766i	0.649188	+	0.162086i
$637$	−3.53806	+	1.03887i	−0.140183	+	0.0411615i
$638$	0.00867990	+	0.424114i	0.000343641	+	0.0167909i
$639$	−3.57910	+	1.63452i	−0.141587	+	0.0646606i
$640$	6.93677	−	23.6631i	0.274200	−	0.935368i
$641$	−14.3487	−	22.3270i	−0.566740	−	0.881865i	0.433070	−	0.901360i	$-0.357430\pi$
$641$	−14.3487	−	22.3270i	−0.566740	−	0.881865i	−0.999810	+	0.0194955i	$0.993794\pi$
$642$	15.3099	+	9.40211i	0.604235	+	0.371072i
$643$	−7.04620			−0.277875			−0.138937	−	0.990301i	$-0.544369\pi$
$643$	−7.04620			−0.277875			−0.138937	+	0.990301i	$0.544369\pi$
$644$	−6.65043	+	7.72451i	−0.262064	+	0.304388i
$645$	−26.3197			−1.03634
$646$	0.500032	+	0.307079i	0.0196735	+	0.0120819i
$647$	10.2640	+	15.9710i	0.403518	+	0.627886i	0.982238	−	0.187640i	$-0.0600840\pi$
$647$	10.2640	+	15.9710i	0.403518	+	0.627886i	−0.578720	+	0.815526i	$0.696448\pi$
$648$	1.67226	+	2.28113i	0.0656927	+	0.0896111i
$649$	−6.72222	+	3.06993i	−0.263870	+	0.120505i
$650$	0.00453494	+	0.221585i	0.000177875	+	0.00869127i
$651$	−5.87355	+	1.72463i	−0.230202	+	0.0675935i
$652$	7.62897	−	30.5556i	0.298774	−	1.19665i
$653$	−7.65068	+	16.7527i	−0.299394	+	0.655582i	−0.998216	−	0.0597144i	$-0.980981\pi$
$653$	−7.65068	+	16.7527i	−0.299394	+	0.655582i	0.698821	+	0.715296i	$0.253708\pi$
$654$	−17.7977	−	2.18824i	−0.695947	−	0.0855671i
$655$	−25.1477	−	29.0220i	−0.982602	−	1.13398i
$656$	−29.6477	−	6.12564i	−1.15755	−	0.239166i
$657$	7.63557	+	2.24200i	0.297892	+	0.0874689i
$658$	−3.41945	−	0.928479i	−0.133304	−	0.0361959i
$659$	−25.4134	−	16.3322i	−0.989965	−	0.636212i	−0.0578316	−	0.998326i	$-0.518419\pi$
$659$	−25.4134	−	16.3322i	−0.989965	−	0.636212i	−0.932134	+	0.362114i	$0.882055\pi$
$660$	−1.80632	+	1.26819i	−0.0703109	+	0.0493644i
$661$	6.69699	+	0.962882i	0.260483	+	0.0374518i	0.271319	−	0.962490i	$-0.412540\pi$
$661$	6.69699	+	0.962882i	0.260483	+	0.0374518i	−0.0108360	+	0.999941i	$0.503449\pi$
$662$	−23.8951	+	16.0567i	−0.928709	+	0.624060i
$663$	0.0712466	+	0.495531i	0.00276699	+	0.0192448i
$664$	−6.27832	+	11.2292i	−0.243646	+	0.435776i
$665$	0.911268	+	0.789618i	0.0353375	+	0.0306201i
$666$	0.706158	+	4.28679i	0.0273631	+	0.166110i
$667$	−2.83922	−	0.107219i	−0.109935	−	0.00415152i
$668$	8.88517	+	26.2372i	0.343777	+	1.01515i
$669$	7.88051	−	9.09460i	0.304678	−	0.351617i
$670$	17.4952	+	19.3749i	0.675898	+	0.748516i
$671$	2.00196	−	0.287839i	0.0772848	−	0.0111119i
$672$	−1.92569	+	5.69469i	−0.0742850	+	0.219678i
$673$	0.174745	−	1.21538i	0.00673591	−	0.0468493i	−0.986176	−	0.165700i	$-0.947012\pi$
$673$	0.174745	−	1.21538i	0.00673591	−	0.0468493i	0.992912	+	0.118850i	$0.0379209\pi$
$674$	4.54218	+	9.43040i	0.174958	+	0.363246i
$675$	0.134893	−	0.209898i	0.00519204	−	0.00807897i
$676$	−2.56389	+	25.0803i	−0.0986111	+	0.964625i
$677$	4.50863	−	15.3550i	0.173281	−	0.590139i	−0.826355	−	0.563149i	$-0.809590\pi$
$677$	4.50863	−	15.3550i	0.173281	−	0.590139i	0.999636	−	0.0269901i	$-0.00859226\pi$
$678$	−13.7483	−	11.4290i	−0.528002	−	0.438926i
$679$	6.16125	−	5.33875i	0.236447	−	0.204882i
$680$	−4.81146	+	0.996332i	−0.184511	+	0.0382076i
$681$	9.32532	+	4.25873i	0.357347	+	0.163195i
$682$	1.63629	−	3.78615i	0.0626569	−	0.144979i
$683$	−6.86759	−	23.3888i	−0.262781	−	0.894949i	−0.980150	−	0.198256i	$-0.936472\pi$
$683$	−6.86759	−	23.3888i	−0.262781	−	0.894949i	0.717369	−	0.696693i	$-0.245346\pi$
$684$	0.190216	+	1.02365i	0.00727309	+	0.0391402i
$685$	−12.3650	−	27.0755i	−0.472442	−	1.03450i
$686$	5.82816	+	18.4440i	0.222520	+	0.704197i
$687$	−7.83809	+	5.03724i	−0.299042	+	0.192183i
$688$	2.94209	−	48.2130i	0.112166	−	1.83810i
$689$			5.29950i			0.201895i
$690$	−7.77593	−	12.5721i	−0.296024	−	0.478612i
$691$			14.8384i			0.564481i	0.959344	+	0.282241i	$0.0910776\pi$
$691$			14.8384i			0.564481i	−0.959344	+	0.282241i	$0.908922\pi$
$692$	0.615620	−	1.50849i	0.0234024	−	0.0573441i
$693$	0.452634	−	0.290890i	0.0171942	−	0.0110500i
$694$	27.1844	−	8.59002i	1.03190	−	0.326073i
$695$	0.813563	+	1.78145i	0.0308602	+	0.0675744i
$696$	−1.57581	+	0.569842i	−0.0597307	+	0.0215998i
$697$	1.69952	+	5.78803i	0.0643738	+	0.219237i
$698$	8.82231	+	3.81282i	0.333929	+	0.144317i
$699$	9.94414	+	4.54134i	0.376122	+	0.171769i
$700$	0.529850	−	0.0216969i	0.0200265	−	0.000820064i
$701$	11.8706	−	10.2859i	0.448346	−	0.388494i	−0.401215	−	0.915984i	$-0.631412\pi$
$701$	11.8706	−	10.2859i	0.448346	−	0.388494i	0.849561	+	0.527490i	$0.176867\pi$
$702$	−0.567841	+	0.683079i	−0.0214318	+	0.0257811i
$703$	−0.450568	+	1.53449i	−0.0169935	+	0.0578745i
$704$	−2.12119	−	3.45062i	−0.0799453	−	0.130050i
$705$	2.77818	−	4.32293i	0.104632	−	0.162811i
$706$	11.2744	−	5.43034i	0.424318	−	0.204374i
$707$	0.0521918	−	0.363002i	0.00196288	−	0.0136521i
$708$	−20.0033	−	21.2611i	−0.751769	−	0.799042i
$709$	21.8338	−	3.13922i	0.819984	−	0.117896i	0.280460	−	0.959866i	$-0.409513\pi$
$709$	21.8338	−	3.13922i	0.819984	−	0.117896i	0.539524	+	0.841970i	$0.318604\pi$
$710$	9.00137	−	8.12809i	0.337815	−	0.305042i
$711$	−5.62979	+	6.49712i	−0.211134	+	0.243661i
$712$	18.3269	+	34.3770i	0.686830	+	1.28833i
$713$	24.6784	+	12.4163i	0.924215	+	0.464996i
$714$	1.18192	−	0.194696i	0.0442321	−	0.00728631i
$715$	−0.523837	−	0.453908i	−0.0195904	−	0.0169752i
$716$	−11.0956	−	8.84619i	−0.414664	−	0.330598i
$717$	−2.76623	−	19.2396i	−0.103307	−	0.718515i
$718$	15.0144	+	22.3441i	0.560334	+	0.833873i
$719$	7.55767	+	1.08663i	0.281853	+	0.0405244i	0.281792	−	0.959476i	$-0.409071\pi$
$719$	7.55767	+	1.08663i	0.281853	+	0.0405244i	6.16854e−5		1.00000i	$0.499980\pi$
$720$	−7.03355	−	5.15142i	−0.262125	−	0.191982i
$721$	1.48260	+	0.952808i	0.0552148	+	0.0354844i
$722$	6.94062	−	25.5613i	0.258303	−	0.951292i
$723$	−3.66150	−	1.07511i	−0.136173	−	0.0399839i
$724$	23.2279	−	39.6190i	0.863259	−	1.47243i
$725$	0.0967998	+	0.111713i	0.00359505	+	0.00414891i
$726$	1.85413	−	15.0803i	0.0688131	−	0.559681i
$727$	−10.9722	+	24.0258i	−0.406938	+	0.891069i	0.589582	+	0.807709i	$0.299293\pi$
$727$	−10.9722	+	24.0258i	−0.406938	+	0.891069i	−0.996519	+	0.0833606i	$0.973435\pi$
$728$	−1.88168	−	0.153527i	−0.0697396	−	0.00569010i
$729$	0.959493	−	0.281733i	0.0355368	−	0.0104345i
$730$	−24.5241	+	0.501909i	−0.907677	+	0.0185765i
$731$	−8.75500	+	3.99827i	−0.323815	+	0.147882i
$732$	3.61348	+	7.12554i	0.133558	+	0.263367i
$733$	23.0777	+	35.9096i	0.852395	+	1.32635i	0.943793	+	0.330537i	$0.107230\pi$
$733$	23.0777	+	35.9096i	0.852395	+	1.32635i	−0.0913982	+	0.995814i	$0.529134\pi$
$734$	−10.7772	+	17.5490i	−0.397792	+	0.647745i
$735$	−12.7955			−0.471971
$736$	23.8991	−	12.8388i	0.880932	−	0.473243i
$737$	4.28798			0.157950
$738$	−5.60127	+	9.12084i	−0.206186	+	0.335743i
$739$	24.0723	+	37.4573i	0.885515	+	1.37789i	0.925524	+	0.378688i	$0.123625\pi$
$739$	24.0723	+	37.4573i	0.885515	+	1.37789i	−0.0400095	+	0.999199i	$0.512739\pi$
$740$	−6.05678	−	11.9436i	−0.222652	−	0.439054i
$741$	−0.297436	+	0.135834i	−0.0109266	+	0.00499000i
$742$	12.6774	−	0.259455i	0.465402	−	0.00952489i
$743$	−5.59658	+	1.64331i	−0.205319	+	0.0602870i	−0.382775	−	0.923842i	$-0.625031\pi$
$743$	−5.59658	+	1.64331i	−0.205319	+	0.0602870i	0.177456	+	0.984129i	$0.443213\pi$
$744$	16.2389	+	1.32494i	0.595347	+	0.0485748i
$745$	4.85132	−	10.6229i	0.177738	−	0.389193i
$746$	2.47643	−	20.1416i	0.0906684	−	0.737438i
$747$	2.97864	+	3.43753i	0.108983	+	0.125773i
$748$	−0.408203	+	0.696255i	−0.0149254	+	0.0254576i
$749$	12.9538	+	3.80356i	0.473320	+	0.138979i
$750$	−4.24006	+	15.6155i	−0.154825	+	0.570197i
$751$	10.5713	+	6.79375i	0.385752	+	0.247908i	0.719115	−	0.694891i	$-0.244547\pi$
$751$	10.5713	+	6.79375i	0.385752	+	0.247908i	−0.333364	+	0.942798i	$0.608184\pi$
$752$	7.60829	+	5.57237i	0.277446	+	0.203203i
$753$	−25.7693	−	3.70506i	−0.939084	−	0.135020i
$754$	−0.293513	−	0.436797i	−0.0106891	−	0.0159072i
$755$	−5.83898	−	40.6110i	−0.212502	−	1.47799i
$756$	1.66185	+	1.32494i	0.0604410	+	0.0481876i
$757$	19.6388	+	17.0171i	0.713783	+	0.618497i	0.934133	−	0.356924i	$-0.116175\pi$
$757$	19.6388	+	17.0171i	0.713783	+	0.618497i	−0.220350	+	0.975421i	$0.570720\pi$
$758$	17.4436	−	2.87346i	0.633579	−	0.104369i
$759$	−2.38870	−	0.436016i	−0.0867043	−	0.0158264i
$760$	−1.50977	−	2.83197i	−0.0547651	−	0.102726i
$761$	30.8746	−	35.6311i	1.11920	−	1.29163i	0.167068	−	0.985945i	$-0.446570\pi$
$761$	30.8746	−	35.6311i	1.11920	−	1.29163i	0.952133	−	0.305683i	$-0.0988846\pi$
$762$	9.06879	−	8.18898i	0.328528	−	0.296655i
$763$	−13.3374	+	1.91763i	−0.482846	+	0.0694228i
$764$	17.1673	+	18.2468i	0.621091	+	0.660147i
$765$	−0.247229	+	1.71951i	−0.00893858	+	0.0621692i
$766$	25.8245	−	12.4384i	0.933076	−	0.449418i
$767$	4.95651	−	7.71247i	0.178969	−	0.278481i
$768$	10.2227	−	12.3084i	0.368881	−	0.444140i
$769$	−5.38593	+	18.3428i	−0.194222	+	0.661458i	0.803581	+	0.595196i	$0.202926\pi$
$769$	−5.38593	+	18.3428i	−0.194222	+	0.661458i	−0.997802	+	0.0662620i	$0.978893\pi$
$770$	−1.06019	+	1.27534i	−0.0382065	+	0.0459601i
$771$	−4.94751	+	4.28704i	−0.178180	+	0.154394i
$772$	−31.3367	+	1.28321i	−1.12783	+	0.0461836i
$773$	10.8050	+	4.93448i	0.388629	+	0.177481i	0.600140	−	0.799895i	$-0.295111\pi$
$773$	10.8050	+	4.93448i	0.388629	+	0.177481i	−0.211512	+	0.977375i	$0.567839\pi$
$774$	−15.6762	−	6.77493i	−0.563470	−	0.243520i
$775$	−0.404921	−	1.37904i	−0.0145452	−	0.0495364i
$776$	−20.4053	+	7.37895i	−0.732507	+	0.264889i
$777$	1.35618	+	2.96963i	0.0486529	+	0.106535i
$778$	−36.0957	+	11.4059i	−1.29409	+	0.408922i
$779$	−3.31458	+	2.13015i	−0.118757	+	0.0763206i
$780$	1.03455	−	2.53503i	0.0370430	−	0.0907685i
$781$		−	1.99215i		−	0.0712848i
$782$	−4.49645	−	3.00074i	−0.160793	−	0.107306i
$783$			0.592440i			0.0211721i
$784$	1.43033	−	23.4392i	0.0510831	−	0.837113i
$785$	−19.4383	+	12.4922i	−0.693782	+	0.445867i
$786$	−7.50764	−	23.7590i	−0.267789	−	0.847455i
$787$	7.54108	+	16.5127i	0.268810	+	0.588613i	0.995111	−	0.0987647i	$-0.0314891\pi$
$787$	7.54108	+	16.5127i	0.268810	+	0.588613i	−0.726300	+	0.687377i	$0.758762\pi$
$788$	−1.56947	−	8.44615i	−0.0559102	−	0.300882i
$789$	2.82017	+	9.60462i	0.100401	+	0.341933i
$790$	10.5125	−	24.3244i	0.374019	−	0.865424i
$791$	−12.2204	−	5.58087i	−0.434508	−	0.198433i
$792$	−1.40230	+	0.290382i	−0.0498287	+	0.0103183i
$793$	−1.89626	+	1.64311i	−0.0673380	+	0.0583487i
$794$	−15.6626	−	13.0203i	−0.555846	−	0.462073i
$795$	−5.18092	+	17.6446i	−0.183748	+	0.625789i
$796$	4.63913	−	45.3805i	0.164430	−	1.60847i
$797$	−0.870718	+	1.35486i	−0.0308424	+	0.0479917i	−0.856332	−	0.516425i	$-0.827262\pi$
$797$	−0.870718	+	1.35486i	−0.0308424	+	0.0479917i	0.825490	+	0.564417i	$0.190899\pi$
$798$	0.339503	+	0.704872i	0.0120183	+	0.0249522i
$799$	0.267431	−	1.86002i	0.00946103	−	0.0658029i
$800$	−1.33704	−	0.452128i	−0.0472716	−	0.0159851i
$801$	13.6332	−	1.96016i	0.481706	−	0.0692588i
$802$	−3.35625	−	3.71685i	−0.118513	−	0.131246i
$803$	−2.63854	+	3.04503i	−0.0931119	+	0.107457i
$804$	5.43301	+	16.0433i	0.191607	+	0.565802i
$805$	−8.11445	−	7.58586i	−0.285997	−	0.267367i
$806$	0.831684	+	5.04880i	0.0292948	+	0.177836i
$807$	−18.5622	−	16.0842i	−0.653419	−	0.566191i
$808$	−0.476344	+	0.851971i	−0.0167577	+	0.0299722i
$809$	3.95896	+	27.5351i	0.139189	+	0.968084i	0.932989	+	0.359905i	$0.117191\pi$
$809$	3.95896	+	27.5351i	0.139189	+	0.968084i	−0.793800	+	0.608179i	$0.791900\pi$
$810$	−2.55841	+	1.71916i	−0.0898934	+	0.0604052i
$811$	30.4100	+	4.37229i	1.06784	+	0.153532i	0.653754	−	0.756707i	$-0.273193\pi$
$811$	30.4100	+	4.37229i	1.06784	+	0.153532i	0.414084	+	0.910239i	$0.364102\pi$
$812$	−1.03053	+	0.723522i	−0.0361646	+	0.0253907i
$813$	12.7169	+	8.17265i	0.446001	+	0.286627i
$814$	−2.12282	−	0.576407i	−0.0744048	−	0.0202030i
$815$	32.9308	+	9.66937i	1.15352	+	0.338703i
$816$	−3.12221	−	0.645092i	−0.109299	−	0.0225827i
$817$	−4.11673	−	4.75096i	−0.144026	−	0.166215i
$818$	−44.5382	−	5.47600i	−1.55724	−	0.191464i
$819$	−0.277283	+	0.607164i	−0.00968904	+	0.0212160i
$820$	7.99195	−	32.0094i	0.279091	−	1.11782i
$821$	11.7216	−	3.44177i	0.409087	−	0.120119i	−0.0707131	−	0.997497i	$-0.522527\pi$
$821$	11.7216	−	3.44177i	0.409087	−	0.120119i	0.479800	+	0.877378i	$0.340709\pi$
$822$	−0.395182	−	19.3093i	−0.0137836	−	0.673488i
$823$	28.6560	−	13.0867i	0.998884	−	0.456175i	0.152245	−	0.988343i	$-0.451350\pi$
$823$	28.6560	−	13.0867i	0.998884	−	0.456175i	0.846639	+	0.532168i	$0.178622\pi$
$824$	−2.77329	−	3.78303i	−0.0966120	−	0.131788i
$825$	0.0682974	+	0.106273i	0.00237781	+	0.00369995i
$826$	−18.6924	−	11.4793i	−0.650390	−	0.399416i
$827$	25.8128			0.897599			0.448800	−	0.893632i	$-0.351852\pi$
$827$	25.8128			0.897599			0.448800	+	0.893632i	$0.351852\pi$
$828$	−1.39523	−	9.48964i	−0.0484875	−	0.329788i
$829$	−44.0934			−1.53143			−0.765713	−	0.643183i	$-0.777614\pi$
$829$	−44.0934			−1.53143			−0.765713	+	0.643183i	$0.777614\pi$
$830$	−11.9472	−	7.33696i	−0.414692	−	0.254670i
$831$	13.0242	+	20.2661i	0.451805	+	0.703023i
$832$	4.52807	+	2.17849i	0.156983	+	0.0755257i
$833$	−4.25632	+	1.94380i	−0.147473	+	0.0673486i
$834$	0.0260013	+	1.27047i	0.000900352	+	0.0439927i
$835$	−28.9651	+	8.50491i	−1.00238	+	0.294325i
$836$	−0.511453	−	0.127697i	−0.0176890	−	0.00441650i
$837$	2.39296	−	5.23984i	0.0827127	−	0.181116i
$838$	−16.0675	−	1.97551i	−0.555044	−	0.0682430i
$839$	−28.1150	−	32.4464i	−0.970637	−	1.12018i	−0.992723	−	0.120419i	$-0.961576\pi$
$839$	−28.1150	−	32.4464i	−0.970637	−	1.12018i	0.0220859	−	0.999756i	$-0.492969\pi$
$840$	−6.11491	−	2.35074i	−0.210985	−	0.0811082i
$841$	27.4885	+	8.07136i	0.947880	+	0.278323i
$842$	−49.7831	−	13.5175i	−1.71564	−	0.465845i
$843$	−4.22885	−	2.71772i	−0.145649	−	0.0936031i
$844$	−7.19048	−	10.2416i	−0.247506	−	0.352530i
$845$	−27.1948	−	3.91002i	−0.935529	−	0.134509i
$846$	2.76747	−	1.85964i	0.0951476	−	0.0639359i
$847$	−1.62483	−	11.3009i	−0.0558298	−	0.388305i
$848$	−31.7426	−	11.4629i	−1.09005	−	0.393637i
$849$	−13.9558	−	12.0928i	−0.478961	−	0.415023i
$850$	0.0457122	+	0.277499i	0.00156791	+	0.00951814i
$851$	4.68130	−	13.9696i	0.160473	−	0.478872i
$852$	7.45354	−	2.52412i	0.255354	−	0.0864750i
$853$	−13.7683	+	15.8895i	−0.471418	+	0.544046i	−0.940806	−	0.338947i	$-0.889929\pi$
$853$	−13.7683	+	15.8895i	−0.471418	+	0.544046i	0.469387	+	0.882992i	$0.344475\pi$
$854$	4.02348	+	4.45576i	0.137681	+	0.152473i
$855$	−1.12310	+	0.161478i	−0.0384093	+	0.00552242i
$856$	−28.5488	−	21.8207i	−0.975778	−	0.745816i
$857$	−3.03093	+	21.0806i	−0.103535	+	0.720099i	0.870247	+	0.492615i	$0.163959\pi$
$857$	−3.03093	+	21.0806i	−0.103535	+	0.720099i	−0.973782	+	0.227484i	$0.926950\pi$
$858$	−0.195162	−	0.405192i	−0.00666271	−	0.0138330i
$859$	10.8779	−	16.9263i	0.371148	−	0.577518i	−0.604569	−	0.796553i	$-0.706654\pi$
$859$	10.8779	−	16.9263i	0.371148	−	0.577518i	0.975717	+	0.219035i	$0.0702908\pi$
$860$	52.3664	+	5.35328i	1.78568	+	0.182545i
$861$	−2.26596	+	7.71715i	−0.0772237	+	0.263000i
$862$	24.3317	+	20.2269i	0.828742	+	0.688930i
$863$	27.3454	−	23.6950i	0.930850	−	0.806586i	−0.0505185	−	0.998723i	$-0.516087\pi$
$863$	27.3454	−	23.6950i	0.930850	−	0.806586i	0.981368	+	0.192137i	$0.0615419\pi$
$864$	−2.86321	−	4.87873i	−0.0974085	−	0.165978i
$865$	1.61510	+	0.737590i	0.0549149	+	0.0250788i
$866$	−0.283841	+	0.656768i	−0.00964532	+	0.0223179i
$867$	−4.61048	−	15.7018i	−0.156580	−	0.533263i
$868$	12.0370	−	2.23673i	0.408561	−	0.0759194i
$869$	−1.80817	−	3.95935i	−0.0613381	−	0.134312i
$870$	−0.550221	−	1.74125i	−0.0186542	−	0.0590340i
$871$	−4.47507	+	2.87595i	−0.151632	+	0.0974479i
$872$	34.9659	+	7.97376i	1.18409	+	0.270026i
$873$			7.67158i			0.259644i
$874$	1.05314	−	3.37007i	0.0356228	−	0.113994i
$875$			12.1589i			0.411045i
$876$	−14.7359	−	6.01380i	−0.497882	−	0.203187i
$877$	11.2016	−	7.19884i	0.378252	−	0.243088i	−0.337675	−	0.941263i	$-0.609641\pi$
$877$	11.2016	−	7.19884i	0.378252	−	0.243088i	0.715927	+	0.698175i	$0.246004\pi$
$878$	−40.8970	+	12.9231i	−1.38021	+	0.436133i
$879$	11.9560	+	26.1800i	0.403266	+	0.883030i
$880$	3.85186	−	2.15584i	0.129846	−	0.0726734i
$881$	9.09009	+	30.9580i	0.306253	+	1.04300i	0.958523	+	0.285015i	$0.0919985\pi$
$881$	9.09009	+	30.9580i	0.306253	+	1.04300i	−0.652270	+	0.757986i	$0.726183\pi$
$882$	−7.62113	−	3.29370i	−0.256617	−	0.110905i
$883$	3.13227	+	1.43046i	0.105409	+	0.0481388i	0.467422	−	0.884034i	$-0.345183\pi$
$883$	3.13227	+	1.43046i	0.105409	+	0.0481388i	−0.362012	+	0.932173i	$0.617910\pi$
$884$	−0.0409661	−	1.00042i	−0.00137784	−	0.0336476i
$885$	24.0425	−	20.8329i	0.808180	−	0.700292i
$886$	15.8115	−	19.0203i	0.531198	−	0.639000i
$887$	−3.99526	+	13.6066i	−0.134148	+	0.456865i	−0.998978	−	0.0451991i	$-0.985608\pi$
$887$	−3.99526	+	13.6066i	−0.134148	+	0.456865i	0.864830	+	0.502064i	$0.167426\pi$
$888$	−0.533084	−	8.67275i	−0.0178891	−	0.291038i
$889$	4.96402	−	7.72416i	0.166488	−	0.259060i
$890$	−38.2492	+	18.4228i	−1.28211	+	0.617534i
$891$	−0.0720551	+	0.501154i	−0.00241394	+	0.0167893i
$892$	−17.5291	+	16.4920i	−0.586918	+	0.552194i
$893$	1.21488	−	0.174673i	0.0406543	−	0.00584520i
$894$	5.62392	−	5.07831i	0.188092	−	0.169844i
$895$	10.1271	−	11.6873i	0.338511	−	0.390662i
$896$	4.98968	−	10.9387i	0.166693	−	0.365435i
$897$	2.78536	−	1.14706i	0.0930004	−	0.0382993i
$898$	−46.1717	+	7.60582i	−1.54077	+	0.253809i
$899$	2.57914	+	2.23484i	0.0860192	+	0.0745360i
$900$	−0.311080	+	0.390183i	−0.0103693	+	0.0130061i
$901$	0.957040	+	6.65636i	0.0318836	+	0.221755i
$902$	−3.02253	−	4.49805i	−0.100639	−	0.149769i
$903$	−12.7020	−	1.82628i	−0.422698	−	0.0607747i
$904$	25.0295	+	25.5357i	0.832470	+	0.849306i
$905$	42.1042	+	27.0587i	1.39959	+	0.899462i
$906$	6.97592	−	25.6913i	0.231759	−	0.853535i
$907$	−39.7930	−	11.6843i	−1.32130	−	0.387970i	−0.456341	−	0.889805i	$-0.650840\pi$
$907$	−39.7930	−	11.6843i	−1.32130	−	0.387970i	−0.864964	+	0.501835i	$0.832659\pi$
$908$	−17.6877	−	10.3700i	−0.586989	−	0.344141i
$909$	0.225993	+	0.260810i	0.00749572	+	0.00865052i
$910$	0.251072	−	2.04205i	0.00832294	−	0.0676934i
$911$	−10.1179	+	22.1551i	−0.335221	+	0.734031i	−0.999914	−	0.0130852i	$-0.995835\pi$
$911$	−10.1179	+	22.1551i	−0.335221	+	0.734031i	0.664694	+	0.747116i	$0.268562\pi$
$912$	−0.170255	−	2.07537i	−0.00563769	−	0.0687225i
$913$	−2.20966	+	0.648815i	−0.0731291	+	0.0214726i
$914$	20.2619	−	0.414679i	0.670205	−	0.0137164i
$915$	−7.91989	+	3.61689i	−0.261824	+	0.119571i
$916$	16.6195	−	8.42801i	0.549122	−	0.278469i
$917$	−10.1227	−	15.7512i	−0.334280	−	0.520149i
$918$	−0.589871	+	0.960518i	−0.0194686	+	0.0317018i
$919$	21.1370			0.697244			0.348622	−	0.937263i	$-0.386650\pi$
$919$	21.1370			0.697244			0.348622	+	0.937263i	$0.386650\pi$
$920$	12.9141	+	26.5954i	0.425766	+	0.876825i
$921$	−28.4117			−0.936198
$922$	6.77164	−	11.0266i	0.223012	−	0.363142i
$923$	1.33614	+	2.07907i	0.0439795	+	0.0684335i
$924$	−0.959741	+	0.486701i	−0.0315731	+	0.0160113i
$925$	−0.697232	+	0.318415i	−0.0229249	+	0.0104694i
$926$	26.8119	−	0.548731i	0.881094	−	0.0180324i
$927$	−1.59123	+	0.467226i	−0.0522628	+	0.0153457i
$928$	3.25117	−	0.813265i	0.106725	−	0.0266967i
$929$	−10.4232	+	22.8236i	−0.341974	+	0.748818i	−0.999991	−	0.00418442i	$-0.998668\pi$
$929$	−10.4232	+	22.8236i	−0.341974	+	0.748818i	0.658017	+	0.753003i	$0.271395\pi$
$930$	−2.16675	+	17.6230i	−0.0710507	+	0.577880i
$931$	−2.00139	−	2.30972i	−0.0655928	−	0.0756981i
$932$	−18.8615	−	11.0582i	−0.617828	−	0.362222i
$933$	19.9961	+	5.87139i	0.654644	+	0.192221i
$934$	−12.0328	+	44.3151i	−0.393726	+	1.45004i
$935$	−0.739930	−	0.475524i	−0.0241983	−	0.0155513i
$936$	1.26873	−	1.24358i	0.0414697	−	0.0406476i
$937$	49.6939	+	7.14491i	1.62343	+	0.233414i	0.893158	−	0.449743i	$-0.148485\pi$
$937$	49.6939	+	7.14491i	1.62343	+	0.233414i	0.730271	+	0.683157i	$0.239394\pi$
$938$	7.09891	+	10.5644i	0.231788	+	0.344940i
$939$	0.0549107	+	0.381912i	0.00179194	+	0.0124632i
$940$	−6.40682	+	8.03597i	−0.208967	+	0.262105i
$941$	−22.0298	−	19.0889i	−0.718151	−	0.622282i	0.217148	−	0.976139i	$-0.430325\pi$
$941$	−22.0298	−	19.0889i	−0.718151	−	0.622282i	−0.935300	+	0.353857i	$0.884870\pi$
$942$	−14.7932	+	2.43687i	−0.481989	+	0.0793976i
$943$	31.2539	−	18.4575i	1.01777	−	0.601058i
$944$	35.4747	+	46.3704i	1.15460	+	1.50923i
$945$	−1.51679	+	1.75046i	−0.0493411	+	0.0569426i
$946$	6.41736	−	5.79478i	0.208646	−	0.188404i
$947$	−6.95461	+	0.999922i	−0.225994	+	0.0324931i	−0.254382	−	0.967104i	$-0.581872\pi$
$947$	−6.95461	+	0.999922i	−0.225994	+	0.0324931i	0.0283873	+	0.999597i	$0.490963\pi$
$948$	12.5227	−	11.7818i	0.406718	−	0.382655i
$949$	0.711352	−	4.94756i	0.0230915	−	0.160605i
$950$	−0.165495	+	0.0797112i	−0.00536937	+	0.00258617i
$951$	−17.2161	+	26.7887i	−0.558269	+	0.868684i
$952$	−2.39118	+	0.146977i	−0.0774985	+	0.00476356i
$953$	13.8277	−	47.0930i	0.447925	−	1.52549i	−0.358142	−	0.933667i	$-0.616590\pi$
$953$	13.8277	−	47.0930i	0.447925	−	1.52549i	0.806067	−	0.591824i	$-0.201592\pi$
$954$	−7.62768	+	9.17564i	−0.246955	+	0.297072i
$955$	−20.6339	+	17.8793i	−0.667696	+	0.578562i
$956$	1.59055	+	38.8423i	0.0514422	+	1.25625i
$957$	−0.272850	−	0.124607i	−0.00882000	−	0.00402796i
$958$	−53.3448	−	23.0545i	−1.72349	−	0.744858i
$959$	−4.08870	−	13.9248i	−0.132031	−	0.449656i
$960$	12.9464	+	11.6800i	0.417843	+	0.376971i
$961$	−0.906524	−	1.98501i	−0.0292427	−	0.0640326i
$962$	2.60204	−	0.822221i	0.0838930	−	0.0265095i
$963$	−10.6875	+	6.86842i	−0.344399	+	0.221332i
$964$	7.06636	+	2.88381i	0.227592	+	0.0928813i
$965$		−	34.1787i		−	1.10025i
$966$	−2.88036	−	6.60694i	−0.0926740	−	0.212575i
$967$			13.3439i			0.429110i	0.976712	+	0.214555i	$0.0688301\pi$
$967$			13.3439i			0.429110i	−0.976712	+	0.214555i	$0.931170\pi$
$968$	−6.75627	+	29.6270i	−0.217155	+	0.952249i
$969$	−0.349059	+	0.224327i	−0.0112134	+	0.00720642i
$970$	−7.12488	−	22.5477i	−0.228766	−	0.723963i
$971$	2.10359	+	4.60623i	0.0675075	+	0.147821i	0.940378	−	0.340131i	$-0.110471\pi$
$971$	2.10359	+	4.60623i	0.0675075	+	0.147821i	−0.872871	+	0.487952i	$0.837744\pi$
$972$	−1.96634	+	0.365388i	−0.0630704	+	0.0117198i
$973$	0.269019	+	0.916194i	0.00862435	+	0.0293718i
$974$	12.4553	−	28.8197i	0.399094	−	0.923444i
$975$	−0.142555	−	0.0651025i	−0.00456540	−	0.00208495i
$976$	−5.74020	−	14.9121i	−0.183739	−	0.477326i
$977$	−29.2924	+	25.3820i	−0.937147	+	0.812042i	−0.982372	−	0.186934i	$-0.940145\pi$
$977$	−29.2924	+	25.3820i	−0.937147	+	0.812042i	0.0452255	+	0.998977i	$0.485599\pi$
$978$	17.1249	+	14.2359i	0.547594	+	0.455213i
$979$	−1.96468	+	6.69110i	−0.0627916	+	0.213848i
$980$	25.4584	+	2.60255i	0.813239	+	0.0831353i
$981$	6.85515	−	10.6668i	0.218868	−	0.340565i
$982$	14.8603	+	30.8528i	0.474211	+	0.984551i
$983$	6.25346	−	43.4938i	0.199454	−	1.38724i	−0.606417	−	0.795146i	$-0.707394\pi$
$983$	6.25346	−	43.4938i	0.199454	−	1.38724i	0.805872	−	0.592090i	$-0.201697\pi$
$984$	12.9996	−	17.0078i	0.414412	−	0.542190i
$985$	9.26673	−	1.33235i	0.295262	−	0.0424523i
$986$	−0.447544	−	0.495627i	−0.0142527	−	0.0157840i
$987$	1.64073	−	1.89350i	0.0522250	−	0.0602709i
$988$	0.619415	−	0.209763i	0.0197062	−	0.00667346i
$989$	36.2462	+	45.1676i	1.15256	+	1.43625i
$990$	−0.253662	−	1.53987i	−0.00806190	−	0.0489404i
$991$	−0.731514	−	0.633861i	−0.0232373	−	0.0201353i	0.643165	−	0.765728i	$-0.277621\pi$
$991$	−0.731514	−	0.633861i	−0.0232373	−	0.0201353i	−0.666402	+	0.745593i	$0.732167\pi$
$992$	−32.0399	−	5.93906i	−1.01727	−	0.188565i
$993$	−2.89706	−	20.1495i	−0.0919355	−	0.639426i
$994$	4.90812	−	3.29808i	0.155676	−	0.104609i
$995$	49.2066	+	7.07484i	1.55995	+	0.224287i
$996$	−5.22722	−	7.44526i	−0.165631	−	0.235912i
$997$	−36.8818	−	23.7025i	−1.16806	−	0.750665i	−0.194904	−	0.980822i	$-0.562440\pi$
$997$	−36.8818	−	23.7025i	−1.16806	−	0.750665i	−0.973153	+	0.230157i	$0.926076\pi$
$998$	−5.31505	−	1.44319i	−0.168245	−	0.0456834i
$999$	−2.94763	−	0.865501i	−0.0932588	−	0.0273833i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	276.2.m.a.7.16	✓	240
3.2	odd	2		828.2.u.c.559.9		240
4.3	odd	2	inner	276.2.m.a.7.19	yes	240
12.11	even	2		828.2.u.c.559.6		240
23.10	odd	22	inner	276.2.m.a.79.19	yes	240
69.56	even	22		828.2.u.c.631.6		240
92.79	even	22	inner	276.2.m.a.79.16	yes	240
276.263	odd	22		828.2.u.c.631.9		240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
276.2.m.a.7.16	✓	240	1.1	even	1	trivial
276.2.m.a.7.19	yes	240	4.3	odd	2	inner
276.2.m.a.79.16	yes	240	92.79	even	22	inner
276.2.m.a.79.19	yes	240	23.10	odd	22	inner
828.2.u.c.559.6		240	12.11	even	2
828.2.u.c.559.9		240	3.2	odd	2
828.2.u.c.631.6		240	69.56	even	22
828.2.u.c.631.9		240	276.263	odd	22

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 276 = 2^{2} \cdot 3 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	276.m (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.740078 - 1.20511i) q^{2} +(0.540641 + 0.841254i) q^{3} +(-0.904569 - 1.78375i) q^{4} +(1.98260 - 0.905423i) q^{5} +(1.41392 - 0.0289372i) q^{6} +(1.01964 - 0.299394i) q^{7} +(-2.81906 - 0.230009i) q^{8} +(-0.415415 + 0.909632i) q^{9} +O(q^{10})\)	\(q+(0.740078 - 1.20511i) q^{2} +(0.540641 + 0.841254i) q^{3} +(-0.904569 - 1.78375i) q^{4} +(1.98260 - 0.905423i) q^{5} +(1.41392 - 0.0289372i) q^{6} +(1.01964 - 0.299394i) q^{7} +(-2.81906 - 0.230009i) q^{8} +(-0.415415 + 0.909632i) q^{9} +(0.376146 - 3.05933i) q^{10} +(-0.331561 - 0.382642i) q^{11} +(1.01154 - 1.72534i) q^{12} +(0.602666 + 0.176959i) q^{13} +(0.393813 - 1.45035i) q^{14} +(1.83356 + 1.17836i) q^{15} +(-2.36351 + 3.22705i) q^{16} +(0.788926 + 0.113430i) q^{17} +(0.788765 + 1.17382i) q^{18} +(0.0740872 + 0.515288i) q^{19} +(-3.40844 - 2.71744i) q^{20} +(0.803126 + 0.695913i) q^{21} +(-0.706506 + 0.116382i) q^{22} +(-0.502896 - 4.76939i) q^{23} +(-1.33060 - 2.49590i) q^{24} +(-0.163392 + 0.188564i) q^{25} +(0.659274 - 0.595314i) q^{26} +(-0.989821 + 0.142315i) q^{27} +(-1.45638 - 1.54796i) q^{28} +(0.0843130 - 0.586410i) q^{29} +(2.77703 - 1.33756i) q^{30} +(-3.11431 + 4.84596i) q^{31} +(2.13976 + 5.23655i) q^{32} +(0.142643 - 0.485799i) q^{33} +(0.720563 - 0.866794i) q^{34} +(1.75046 - 1.51679i) q^{35} +(1.99833 - 0.0818295i) q^{36} +(2.79445 + 1.27618i) q^{37} +(0.675807 + 0.292070i) q^{38} +(0.176959 + 0.602666i) q^{39} +(-5.79732 + 2.09643i) q^{40} +(3.14406 + 6.88454i) q^{41} +(1.43303 - 0.452824i) q^{42} +(-10.1587 + 6.52859i) q^{43} +(-0.382617 + 0.937547i) q^{44} +2.17956i q^{45} +(-6.11981 - 2.92368i) q^{46} -2.35767i q^{47} +(-3.99257 - 0.243638i) q^{48} +(-4.93874 + 3.17394i) q^{49} +(0.106317 + 0.336457i) q^{50} +(0.331102 + 0.725012i) q^{51} +(-0.229503 - 1.23507i) q^{52} +(2.37704 + 8.09547i) q^{53} +(-0.561040 + 1.29817i) q^{54} +(-1.00381 - 0.458423i) q^{55} +(-2.94330 + 0.609482i) q^{56} +(-0.393433 + 0.340912i) q^{57} +(-0.644289 - 0.535595i) q^{58} +(4.11215 - 14.0047i) q^{59} +(0.443312 - 4.33653i) q^{60} +(-2.15970 + 3.36056i) q^{61} +(3.53507 + 7.33946i) q^{62} +(-0.151236 + 1.05187i) q^{63} +(7.89419 + 1.29682i) q^{64} +(1.35507 - 0.194829i) q^{65} +(-0.479872 - 0.531430i) q^{66} +(-5.54609 + 6.40053i) q^{67} +(-0.511307 - 1.50985i) q^{68} +(3.74038 - 3.00159i) q^{69} +(-0.532410 - 3.23204i) q^{70} +(2.97362 + 2.57666i) q^{71} +(1.38030 - 2.46876i) q^{72} +(-1.13253 - 7.87692i) q^{73} +(3.60605 - 2.42314i) q^{74} +(-0.246966 - 0.0355084i) q^{75} +(0.852126 - 0.598266i) q^{76} +(-0.452634 - 0.290890i) q^{77} +(0.857240 + 0.232765i) q^{78} +(8.24869 + 2.42203i) q^{79} +(-1.76405 + 8.53792i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(10.6235 + 1.30616i) q^{82} +(1.88952 - 4.13747i) q^{83} +(0.514850 - 2.06208i) q^{84} +(1.66683 - 0.489425i) q^{85} +(0.349435 + 17.0740i) q^{86} +(0.538903 - 0.246109i) q^{87} +(0.846679 + 1.15495i) q^{88} +(-7.44646 - 11.5869i) q^{89} +(2.62661 + 1.61305i) q^{90} +0.667484 q^{91} +(-8.05249 + 5.21128i) q^{92} -5.76040 q^{93} +(-2.84124 - 1.74486i) q^{94} +(0.613438 + 0.954529i) q^{95} +(-3.24843 + 4.63117i) q^{96} +(6.97831 - 3.18689i) q^{97} +(0.169881 + 8.30068i) q^{98} +(0.485799 - 0.142643i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9}+O(q^{10}) \) 240 * q - 4 * q^2 - 4 * q^6 - 4 * q^8 + 24 * q^9	\( 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9} - 8 q^{16} + 4 q^{18} + 4 q^{24} + 24 q^{25} - 40 q^{26} + 32 q^{29} + 36 q^{32} - 22 q^{34} - 22 q^{36} - 110 q^{38} - 22 q^{40} - 16 q^{41} - 110 q^{42} - 154 q^{44} - 88 q^{46} - 56 q^{48} - 40 q^{49} - 142 q^{50} - 70 q^{52} - 18 q^{54} - 110 q^{56} - 46 q^{58} - 22 q^{60} + 40 q^{62} - 48 q^{64} - 16 q^{69} - 72 q^{70} + 4 q^{72} + 22 q^{74} + 110 q^{76} - 192 q^{77} + 198 q^{80} - 24 q^{81} + 172 q^{82} - 200 q^{85} + 220 q^{86} + 176 q^{88} - 88 q^{89} + 154 q^{92} - 16 q^{93} + 126 q^{94} - 44 q^{96} - 88 q^{97} + 228 q^{98}+O(q^{100}) \) 240 * q - 4 * q^2 - 4 * q^6 - 4 * q^8 + 24 * q^9 - 8 * q^16 + 4 * q^18 + 4 * q^24 + 24 * q^25 - 40 * q^26 + 32 * q^29 + 36 * q^32 - 22 * q^34 - 22 * q^36 - 110 * q^38 - 22 * q^40 - 16 * q^41 - 110 * q^42 - 154 * q^44 - 88 * q^46 - 56 * q^48 - 40 * q^49 - 142 * q^50 - 70 * q^52 - 18 * q^54 - 110 * q^56 - 46 * q^58 - 22 * q^60 + 40 * q^62 - 48 * q^64 - 16 * q^69 - 72 * q^70 + 4 * q^72 + 22 * q^74 + 110 * q^76 - 192 * q^77 + 198 * q^80 - 24 * q^81 + 172 * q^82 - 200 * q^85 + 220 * q^86 + 176 * q^88 - 88 * q^89 + 154 * q^92 - 16 * q^93 + 126 * q^94 - 44 * q^96 - 88 * q^97 + 228 * q^98

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