LMFDB - Embedded newform 300.2.r.a.59.30

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [300,2,Mod(59,300)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(300, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 5, 7]))

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

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

chi := DirichletCharacter("300.59");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 300 = 2^{2} \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	300.r (of order $10$, degree $4$, 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:	$2.39551206064$
Analytic rank:	$0$
Dimension:	$224$
Relative dimension:	$56$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			59.30
Character	$\chi$	$=$	300.59
Dual form			300.2.r.a.239.30

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.117625 + 1.40931i) q^{2} +(-0.604586 + 1.62311i) q^{3} +(-1.97233 + 0.331542i) q^{4} +(-2.16605 - 0.555182i) q^{5} +(-2.35858 - 0.661132i) q^{6} -0.146941 q^{7} +(-0.699243 - 2.74063i) q^{8} +(-2.26895 - 1.96261i) q^{9} +O(q^{10})$	\(q+(0.117625 + 1.40931i) q^{2} +(-0.604586 + 1.62311i) q^{3} +(-1.97233 + 0.331542i) q^{4} +(-2.16605 - 0.555182i) q^{5} +(-2.35858 - 0.661132i) q^{6} -0.146941 q^{7} +(-0.699243 - 2.74063i) q^{8} +(-2.26895 - 1.96261i) q^{9} +(0.527643 - 3.11795i) q^{10} +(-0.745075 - 0.541329i) q^{11} +(0.654313 - 3.40175i) q^{12} +(0.637074 + 0.876857i) q^{13} +(-0.0172840 - 0.207086i) q^{14} +(2.21068 - 3.18008i) q^{15} +(3.78016 - 1.30782i) q^{16} +(-0.898908 + 2.76655i) q^{17} +(2.49905 - 3.42852i) q^{18} +(-5.30677 - 1.72427i) q^{19} +(4.45623 + 0.376864i) q^{20} +(0.0888385 - 0.238501i) q^{21} +(0.675262 - 1.11372i) q^{22} +(-0.697301 + 0.959752i) q^{23} +(4.87109 + 0.522000i) q^{24} +(4.38355 + 2.40510i) q^{25} +(-1.16083 + 1.00098i) q^{26} +(4.55731 - 2.49618i) q^{27} +(0.289816 - 0.0487172i) q^{28} +(-8.42084 + 2.73610i) q^{29} +(4.74176 + 2.74149i) q^{30} +(-5.35508 - 1.73997i) q^{31} +(2.28777 + 5.17360i) q^{32} +(1.32910 - 0.882057i) q^{33} +(-4.00468 - 0.941426i) q^{34} +(0.318282 + 0.0815791i) q^{35} +(5.12581 + 3.11867i) q^{36} +(-2.39694 - 3.29910i) q^{37} +(1.80583 - 7.68171i) q^{38} +(-1.80840 + 0.503904i) q^{39} +(-0.00695365 + 6.32455i) q^{40} +(5.60638 + 7.71652i) q^{41} +(0.346573 + 0.0971474i) q^{42} -4.69246 q^{43} +(1.64901 + 0.820654i) q^{44} +(3.82506 + 5.51080i) q^{45} +(-1.43461 - 0.869824i) q^{46} +(7.15582 - 2.32507i) q^{47} +(-0.162697 + 6.92629i) q^{48} -6.97841 q^{49} +(-2.87393 + 6.46069i) q^{50} +(-3.94695 - 3.13164i) q^{51} +(-1.54723 - 1.51823i) q^{52} +(-1.73582 - 5.34231i) q^{53} +(4.05396 + 6.12906i) q^{54} +(1.31333 + 1.58620i) q^{55} +(0.102748 + 0.402711i) q^{56} +(6.00707 - 7.57098i) q^{57} +(-4.84652 - 11.5458i) q^{58} +(-8.62564 + 6.26690i) q^{59} +(-3.30586 + 7.00509i) q^{60} +(3.04517 + 2.21244i) q^{61} +(1.82227 - 7.75166i) q^{62} +(0.333402 + 0.288389i) q^{63} +(-7.02212 + 3.83273i) q^{64} +(-0.893119 - 2.25301i) q^{65} +(1.39943 + 1.76936i) q^{66} +(-2.55608 + 7.86680i) q^{67} +(0.855712 - 5.75458i) q^{68} +(-1.13620 - 1.71205i) q^{69} +(-0.0775324 + 0.458155i) q^{70} +(-1.75400 - 5.39826i) q^{71} +(-3.79225 + 7.59071i) q^{72} +(-9.19992 + 12.6626i) q^{73} +(4.36753 - 3.76610i) q^{74} +(-6.55397 + 5.66087i) q^{75} +(11.0384 + 1.64142i) q^{76} +(0.109482 + 0.0795435i) q^{77} +(-0.922873 - 2.48933i) q^{78} +(14.8258 - 4.81719i) q^{79} +(-8.91409 + 0.734128i) q^{80} +(1.29629 + 8.90616i) q^{81} +(-10.2155 + 8.80880i) q^{82} +(13.5654 + 4.40767i) q^{83} +(-0.0961455 + 0.499856i) q^{84} +(3.48302 - 5.49344i) q^{85} +(-0.551953 - 6.61315i) q^{86} +(0.650140 - 15.3221i) q^{87} +(-0.962594 + 2.42050i) q^{88} +(-1.57359 + 2.16586i) q^{89} +(-7.31652 + 6.03892i) q^{90} +(-0.0936124 - 0.128846i) q^{91} +(1.05711 - 2.12413i) q^{92} +(6.06177 - 7.63991i) q^{93} +(4.11846 + 9.81131i) q^{94} +(10.5374 + 6.68108i) q^{95} +(-9.78045 + 0.585417i) q^{96} +(5.03546 - 1.63612i) q^{97} +(-0.820838 - 9.83476i) q^{98} +(0.628121 + 2.69054i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 224 q - 6 q^{4} - 7 q^{6} - 6 q^{9}+O(q^{10}) $ 224 * q - 6 * q^4 - 7 * q^6 - 6 * q^9	$ 224 q - 6 q^{4} - 7 q^{6} - 6 q^{9} - 5 q^{12} - 20 q^{13} + 6 q^{16} - 24 q^{21} - 10 q^{22} - 28 q^{24} - 20 q^{25} - 50 q^{28} - 25 q^{30} - 10 q^{33} - 14 q^{34} - 25 q^{36} - 60 q^{37} - 20 q^{40} - 85 q^{42} - 30 q^{45} + 6 q^{46} - 70 q^{48} + 88 q^{49} + 40 q^{52} - 46 q^{54} + 50 q^{58} + 10 q^{60} - 28 q^{61} + 18 q^{64} + 64 q^{66} - 42 q^{69} - 40 q^{70} - 5 q^{72} - 20 q^{73} - 80 q^{76} - 85 q^{78} + 18 q^{81} - 48 q^{84} - 20 q^{85} + 50 q^{88} - 60 q^{90} + 60 q^{94} + 44 q^{96} - 120 q^{97}+O(q^{100}) $ 224 * q - 6 * q^4 - 7 * q^6 - 6 * q^9 - 5 * q^12 - 20 * q^13 + 6 * q^16 - 24 * q^21 - 10 * q^22 - 28 * q^24 - 20 * q^25 - 50 * q^28 - 25 * q^30 - 10 * q^33 - 14 * q^34 - 25 * q^36 - 60 * q^37 - 20 * q^40 - 85 * q^42 - 30 * q^45 + 6 * q^46 - 70 * q^48 + 88 * q^49 + 40 * q^52 - 46 * q^54 + 50 * q^58 + 10 * q^60 - 28 * q^61 + 18 * q^64 + 64 * q^66 - 42 * q^69 - 40 * q^70 - 5 * q^72 - 20 * q^73 - 80 * q^76 - 85 * q^78 + 18 * q^81 - 48 * q^84 - 20 * q^85 + 50 * q^88 - 60 * q^90 + 60 * q^94 + 44 * q^96 - 120 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/300\mathbb{Z}\right)^\times$.

$n$	$101$	$151$	$277$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{7}{10}\right)$

Coefficient data

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

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

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

$2$	0.117625	+	1.40931i	0.0831738	+	0.996535i
$2$	0.117625	+	1.40931i	0.0831738	+	0.996535i
$3$	−0.604586	+	1.62311i	−0.349058	+	0.937101i
$3$	−0.604586	+	1.62311i	−0.349058	+	0.937101i
$4$	−1.97233	+	0.331542i	−0.986164	+	0.165771i
$5$	−2.16605	−	0.555182i	−0.968687	−	0.248285i
$5$	−2.16605	−	0.555182i	−0.968687	−	0.248285i
$6$	−2.35858	−	0.661132i	−0.962887	−	0.269906i
$7$	−0.146941			−0.0555385			−0.0277693	−	0.999614i	$-0.508840\pi$
$7$	−0.146941			−0.0555385			−0.0277693	+	0.999614i	$0.508840\pi$
$8$	−0.699243	−	2.74063i	−0.247220	−	0.968959i
$9$	−2.26895	−	1.96261i	−0.756318	−	0.654205i
$10$	0.527643	−	3.11795i	0.166855	−	0.985981i
$11$	−0.745075	−	0.541329i	−0.224649	−	0.163217i	0.469768	−	0.882790i	$-0.344338\pi$
$11$	−0.745075	−	0.541329i	−0.224649	−	0.163217i	−0.694417	+	0.719573i	$0.744338\pi$
$12$	0.654313	−	3.40175i	0.188884	−	0.981999i
$13$	0.637074	+	0.876857i	0.176693	+	0.243196i	0.888173	−	0.459510i	$-0.151975\pi$
$13$	0.637074	+	0.876857i	0.176693	+	0.243196i	−0.711480	+	0.702706i	$0.751975\pi$
$14$	−0.0172840	−	0.207086i	−0.00461935	−	0.0553461i
$15$	2.21068	−	3.18008i	0.570796	−	0.821092i
$16$	3.78016	−	1.30782i	0.945040	−	0.326955i
$17$	−0.898908	+	2.76655i	−0.218017	+	0.670988i	0.780908	+	0.624646i	$0.214757\pi$
$17$	−0.898908	+	2.76655i	−0.218017	+	0.670988i	−0.998926	+	0.0463424i	$0.985243\pi$
$18$	2.49905	−	3.42852i	0.589032	−	0.808110i
$19$	−5.30677	−	1.72427i	−1.21746	−	0.395575i	−0.371301	−	0.928513i	$-0.621088\pi$
$19$	−5.30677	−	1.72427i	−1.21746	−	0.395575i	−0.846155	+	0.532937i	$0.821088\pi$
$20$	4.45623	+	0.376864i	0.996443	+	0.0842694i
$21$	0.0888385	−	0.238501i	0.0193861	−	0.0520452i
$22$	0.675262	−	1.11372i	0.143966	−	0.237446i
$23$	−0.697301	+	0.959752i	−0.145397	+	0.200122i	−0.875504	−	0.483211i	$-0.839470\pi$
$23$	−0.697301	+	0.959752i	−0.145397	+	0.200122i	0.730107	+	0.683333i	$0.239470\pi$
$24$	4.87109	+	0.522000i	0.994307	+	0.106553i
$25$	4.38355	+	2.40510i	0.876709	+	0.481021i
$26$	−1.16083	+	1.00098i	−0.227658	+	0.196308i
$27$	4.55731	−	2.49618i	0.877054	−	0.480391i
$28$	0.289816	−	0.0487172i	0.0547701	−	0.00920668i
$29$	−8.42084	+	2.73610i	−1.56371	+	0.508081i	−0.957796	−	0.287449i	$-0.907193\pi$
$29$	−8.42084	+	2.73610i	−1.56371	+	0.508081i	−0.605915	+	0.795529i	$0.707193\pi$
$30$	4.74176	+	2.74149i	0.865722	+	0.500525i
$31$	−5.35508	−	1.73997i	−0.961801	−	0.312508i	−0.214300	−	0.976768i	$-0.568747\pi$
$31$	−5.35508	−	1.73997i	−0.961801	−	0.312508i	−0.747502	+	0.664260i	$0.768747\pi$
$32$	2.28777	+	5.17360i	0.404425	+	0.914571i
$33$	1.32910	−	0.882057i	0.231366	−	0.153546i
$34$	−4.00468	−	0.941426i	−0.686796	−	0.161453i
$35$	0.318282	+	0.0815791i	0.0537994	+	0.0137894i
$36$	5.12581	+	3.11867i	0.854302	+	0.519778i
$37$	−2.39694	−	3.29910i	−0.394054	−	0.542369i	0.565185	−	0.824964i	$-0.308805\pi$
$37$	−2.39694	−	3.29910i	−0.394054	−	0.542369i	−0.959239	+	0.282595i	$0.908805\pi$
$38$	1.80583	−	7.68171i	0.292944	−	1.24614i
$39$	−1.80840	+	0.503904i	−0.289576	+	0.0806892i
$40$	−0.00695365	+	6.32455i	−0.00109947	+	0.999999i
$41$	5.60638	+	7.71652i	0.875569	+	1.20512i	0.977628	+	0.210339i	$0.0674569\pi$
$41$	5.60638	+	7.71652i	0.875569	+	1.20512i	−0.102059	+	0.994778i	$0.532543\pi$
$42$	0.346573	+	0.0971474i	0.0534773	+	0.0149902i
$43$	−4.69246			−0.715594			−0.357797	−	0.933799i	$-0.616472\pi$
$43$	−4.69246			−0.715594			−0.357797	+	0.933799i	$0.616472\pi$
$44$	1.64901	+	0.820654i	0.248597	+	0.123718i
$45$	3.82506	+	5.51080i	0.570206	+	0.821502i
$46$	−1.43461	−	0.869824i	−0.211522	−	0.128249i
$47$	7.15582	−	2.32507i	1.04378	−	0.339146i	0.263558	−	0.964644i	$-0.415104\pi$
$47$	7.15582	−	2.32507i	1.04378	−	0.339146i	0.780226	+	0.625498i	$0.215104\pi$
$48$	−0.162697	+	6.92629i	−0.0234833	+	0.999724i
$49$	−6.97841			−0.996915
$50$	−2.87393	+	6.46069i	−0.406435	+	0.913680i
$51$	−3.94695	−	3.13164i	−0.552683	−	0.438518i
$52$	−1.54723	−	1.51823i	−0.214563	−	0.210541i
$53$	−1.73582	−	5.34231i	−0.238434	−	0.733823i	−0.996647	−	0.0818172i	$-0.973928\pi$
$53$	−1.73582	−	5.34231i	−0.238434	−	0.733823i	0.758214	−	0.652006i	$-0.226072\pi$
$54$	4.05396	+	6.12906i	0.551674	+	0.834060i
$55$	1.31333	+	1.58620i	0.177090	+	0.213883i
$56$	0.102748	+	0.402711i	0.0137302	+	0.0538146i
$57$	6.00707	−	7.57098i	0.795656	−	1.00280i
$58$	−4.84652	−	11.5458i	−0.636380	−	1.51603i
$59$	−8.62564	+	6.26690i	−1.12296	+	0.815880i	−0.984656	−	0.174509i	$-0.944166\pi$
$59$	−8.62564	+	6.26690i	−1.12296	+	0.815880i	−0.138307	+	0.990389i	$0.544166\pi$
$60$	−3.30586	+	7.00509i	−0.426785	+	0.904353i
$61$	3.04517	+	2.21244i	0.389894	+	0.283274i	0.765412	−	0.643541i	$-0.222535\pi$
$61$	3.04517	+	2.21244i	0.389894	+	0.283274i	−0.375518	+	0.926815i	$0.622535\pi$
$62$	1.82227	−	7.75166i	0.231429	−	0.984461i
$63$	0.333402	+	0.288389i	0.0420048	+	0.0363336i
$64$	−7.02212	+	3.83273i	−0.877765	+	0.479092i
$65$	−0.893119	−	2.25301i	−0.110778	−	0.279451i
$66$	1.39943	+	1.76936i	0.172258	+	0.217793i
$67$	−2.55608	+	7.86680i	−0.312275	+	0.961083i	0.664587	+	0.747211i	$0.268608\pi$
$67$	−2.55608	+	7.86680i	−0.312275	+	0.961083i	−0.976862	+	0.213872i	$0.931392\pi$
$68$	0.855712	−	5.75458i	0.103770	−	0.697845i
$69$	−1.13620	−	1.71205i	−0.136783	−	0.206106i
$70$	−0.0775324	+	0.458155i	−0.00926690	+	0.0547600i
$71$	−1.75400	−	5.39826i	−0.208162	−	0.640656i	−0.999569	−	0.0293663i	$-0.990651\pi$
$71$	−1.75400	−	5.39826i	−0.208162	−	0.640656i	0.791407	−	0.611290i	$-0.209349\pi$
$72$	−3.79225	+	7.59071i	−0.446921	+	0.894573i
$73$	−9.19992	+	12.6626i	−1.07677	+	1.48205i	−0.213742	+	0.976890i	$0.568565\pi$
$73$	−9.19992	+	12.6626i	−1.07677	+	1.48205i	−0.863028	+	0.505156i	$0.831435\pi$
$74$	4.36753	−	3.76610i	0.507715	−	0.437800i
$75$	−6.55397	+	5.66087i	−0.756787	+	0.653661i
$76$	11.0384	+	1.64142i	1.26619	+	0.188283i
$77$	0.109482	+	0.0795435i	0.0124767	+	0.00906482i
$78$	−0.922873	−	2.48933i	−0.104495	−	0.281861i
$79$	14.8258	−	4.81719i	1.66803	−	0.541976i	0.685500	−	0.728073i	$-0.259584\pi$
$79$	14.8258	−	4.81719i	1.66803	−	0.541976i	0.982531	+	0.186097i	$0.0595838\pi$
$80$	−8.91409	+	0.734128i	−0.996626	+	0.0820780i
$81$	1.29629	+	8.90616i	0.144032	+	0.989573i
$82$	−10.2155	+	8.80880i	−1.12812	+	0.972770i
$83$	13.5654	+	4.40767i	1.48900	+	0.483805i	0.936787	−	0.349900i	$-0.113784\pi$
$83$	13.5654	+	4.40767i	1.48900	+	0.483805i	0.552211	+	0.833705i	$0.313784\pi$
$84$	−0.0961455	+	0.499856i	−0.0104903	+	0.0545388i
$85$	3.48302	−	5.49344i	0.377787	−	0.595847i
$86$	−0.551953	−	6.61315i	−0.0595186	−	0.713114i
$87$	0.650140	−	15.3221i	0.0697024	−	1.64271i
$88$	−0.962594	+	2.42050i	−0.102613	+	0.258026i
$89$	−1.57359	+	2.16586i	−0.166800	+	0.229581i	−0.884232	−	0.467048i	$-0.845318\pi$
$89$	−1.57359	+	2.16586i	−0.166800	+	0.229581i	0.717432	+	0.696629i	$0.245318\pi$
$90$	−7.31652	+	6.03892i	−0.771229	+	0.636558i
$91$	−0.0936124	−	0.128846i	−0.00981324	−	0.0135068i
$92$	1.05711	−	2.12413i	0.110211	−	0.221456i
$93$	6.06177	−	7.63991i	0.628576	−	0.792222i
$94$	4.11846	+	9.81131i	0.424786	+	1.01196i
$95$	10.5374	+	6.68108i	1.08112	+	0.685464i
$96$	−9.78045	+	0.585417i	−0.998213	+	0.0597488i
$97$	5.03546	−	1.63612i	0.511273	−	0.166123i	−0.0420079	−	0.999117i	$-0.513375\pi$
$97$	5.03546	−	1.63612i	0.511273	−	0.166123i	0.553281	+	0.832994i	$0.313375\pi$
$98$	−0.820838	−	9.83476i	−0.0829172	−	0.993461i
$99$	0.628121	+	2.69054i	0.0631285	+	0.270410i
$100$	−9.44319	−	3.29032i	−0.944319	−	0.329032i
$101$			4.07998i			0.405973i	0.979182	+	0.202987i	$0.0650648\pi$
$101$			4.07998i			0.405973i	−0.979182	+	0.202987i	$0.934935\pi$
$102$	3.94920	−	5.93085i	0.391029	−	0.587241i
$103$	0.378305	+	1.16430i	0.0372755	+	0.114722i	0.967963	−	0.251093i	$-0.0807901\pi$
$103$	0.378305	+	1.16430i	0.0372755	+	0.114722i	−0.930687	+	0.365816i	$0.880790\pi$
$104$	1.95767	−	2.35912i	0.191966	−	0.231331i
$105$	−0.324840	+	0.467284i	−0.0317011	+	0.0456022i
$106$	7.32482	−	3.07471i	0.711449	−	0.298642i
$107$			11.9386i			1.15414i	0.816693	+	0.577072i	$0.195805\pi$
$107$			11.9386i			1.15414i	−0.816693	+	0.577072i	$0.804195\pi$
$108$	−8.16092	+	6.43424i	−0.785285	+	0.619135i
$109$	−7.65264	+	5.55996i	−0.732990	+	0.532548i	−0.890508	−	0.454968i	$-0.849651\pi$
$109$	−7.65264	+	5.55996i	−0.732990	+	0.532548i	0.157518	+	0.987516i	$0.449651\pi$
$110$	−2.08097	+	2.03748i	−0.198412	+	0.194266i
$111$	6.80395	−	1.89590i	0.645803	−	0.179951i
$112$	−0.555461	+	0.192173i	−0.0524861	+	0.0181586i
$113$	9.66884	−	7.02482i	0.909568	−	0.660840i	−0.0313375	−	0.999509i	$-0.509977\pi$
$113$	9.66884	−	7.02482i	0.909568	−	0.660840i	0.940906	+	0.338669i	$0.109977\pi$
$114$	11.3765	+	7.57531i	1.06550	+	0.709493i
$115$	2.04323	−	1.69174i	0.190532	−	0.157756i
$116$	15.7015	−	8.18835i	1.45785	−	0.760269i
$117$	0.275441	−	3.23988i	0.0254646	−	0.299527i
$118$	−9.84662	−	11.4191i	−0.906454	−	1.05121i
$119$	0.132087	−	0.406521i	0.0121084	−	0.0372657i
$120$	−10.2612	−	3.83502i	−0.936717	−	0.350088i
$121$	−3.13709	−	9.65496i	−0.285190	−	0.877724i
$122$	−2.75984	+	4.55183i	−0.249864	+	0.412104i
$123$	−15.9143	+	4.43446i	−1.43494	+	0.399842i
$124$	11.1389	+	1.65636i	1.00030	+	0.148746i
$125$	−8.15971	−	7.64324i	−0.729827	−	0.683632i
$126$	−0.367213	+	0.503790i	−0.0327140	+	0.0448812i
$127$	8.70175	+	6.32219i	0.772155	+	0.561004i	0.902614	−	0.430450i	$-0.141645\pi$
$127$	8.70175	+	6.32219i	0.772155	+	0.561004i	−0.130459	+	0.991454i	$0.541645\pi$
$128$	−6.22750	−	9.44554i	−0.550439	−	0.834876i
$129$	2.83699	−	7.61637i	0.249783	−	0.670584i
$130$	3.07014	−	1.52370i	0.269269	−	0.133637i
$131$	−2.17567	+	6.69603i	−0.190089	+	0.585035i	−0.999999	−	0.00151987i	$-0.999516\pi$
$131$	−2.17567	+	6.69603i	−0.190089	+	0.585035i	0.809909	+	0.586555i	$0.199516\pi$
$132$	−2.32898	+	2.18036i	−0.202711	+	0.189776i
$133$	0.779782	+	0.253367i	0.0676157	+	0.0219697i
$134$	−11.3874	−	2.67698i	−0.983726	−	0.231256i
$135$	−11.2572	+	2.87673i	−0.968865	+	0.247589i
$136$	8.21066	+	0.529082i	0.704058	+	0.0453684i
$137$	−2.36035	+	1.71490i	−0.201658	+	0.146513i	−0.684032	−	0.729452i	$-0.739775\pi$
$137$	−2.36035	+	1.71490i	−0.201658	+	0.146513i	0.482373	+	0.875966i	$0.339775\pi$
$138$	2.27916	−	1.80265i	0.194015	−	0.153451i
$139$	10.8515	−	14.9358i	0.920411	−	1.26684i	−0.0430731	−	0.999072i	$-0.513715\pi$
$139$	10.8515	−	14.9358i	0.920411	−	1.26684i	0.963484	−	0.267765i	$-0.0862852\pi$
$140$	−0.654803	−	0.0553768i	−0.0553410	−	0.00468020i
$141$	−0.552473	+	13.0204i	−0.0465266	+	1.09651i
$142$	7.40153	−	3.10691i	0.621122	−	0.260726i
$143$		−	0.998191i		−	0.0834729i
$144$	−11.1437	−	4.45161i	−0.928646	−	0.370968i
$145$	19.7590	−	1.25143i	1.64090	−	0.103925i
$146$	−18.9277	−	11.4761i	−1.56647	−	0.949771i
$147$	4.21904	−	11.3267i	0.347981	−	0.934211i
$148$	5.82134	+	5.71223i	0.478512	+	0.469542i
$149$		−	0.291492i		−	0.0238800i	−0.999929	−	0.0119400i	$-0.996199\pi$
$149$		−	0.291492i		−	0.0238800i	0.999929	−	0.0119400i	$-0.00380070\pi$
$150$	−8.74886	−	8.57073i	−0.714341	−	0.699797i
$151$		−	7.97245i		−	0.648789i	−0.945922	−	0.324394i	$-0.894840\pi$
$151$		−	7.97245i		−	0.648789i	0.945922	−	0.324394i	$-0.105160\pi$
$152$	−1.01488	+	15.7496i	−0.0823174	+	1.27746i
$153$	7.46926	−	4.51297i	0.603854	−	0.364852i
$154$	−0.0992238	+	0.163651i	−0.00799568	+	0.0131874i
$155$	10.6334	+	6.74191i	0.854093	+	0.541523i
$156$	3.39969	−	1.59342i	0.272193	−	0.127576i
$157$		−	15.7367i		−	1.25593i	−0.778243	−	0.627963i	$-0.783889\pi$
$157$		−	15.7367i		−	1.25593i	0.778243	−	0.627963i	$-0.216111\pi$
$158$	8.53282	+	20.3276i	0.678835	+	1.61717i
$159$	9.72060	+	0.412459i	0.770894	+	0.0327102i
$160$	−2.08314	−	12.4764i	−0.164687	−	0.986346i
$161$	0.102462	−	0.141027i	0.00807515	−	0.0111145i
$162$	−12.3991	+	2.87447i	−0.974164	+	0.225840i
$163$	−10.4684	+	7.60573i	−0.819947	+	0.595726i	−0.916697	−	0.399582i	$-0.869155\pi$
$163$	−10.4684	+	7.60573i	−0.819947	+	0.595726i	0.0967503	+	0.995309i	$0.469155\pi$
$164$	−13.6160	−	13.3608i	−1.06323	−	1.04330i
$165$	−3.36859	+	1.17269i	−0.262244	+	0.0912938i
$166$	−4.61615	+	19.6364i	−0.358283	+	1.52408i
$167$	−15.5039	−	5.03753i	−1.19973	−	0.389816i	−0.360068	−	0.932926i	$-0.617247\pi$
$167$	−15.5039	−	5.03753i	−1.19973	−	0.389816i	−0.839662	+	0.543110i	$0.817247\pi$
$168$	−0.715763	−	0.0767032i	−0.0552223	−	0.00591778i
$169$	3.65421	−	11.2465i	0.281093	−	0.865115i
$170$	8.15167	+	4.26250i	0.625204	+	0.326919i
$171$	8.65672	+	14.3274i	0.661996	+	1.09565i
$172$	9.25508	−	1.55575i	0.705693	−	0.118625i
$173$	5.38601	+	3.91317i	0.409491	+	0.297512i	0.773396	−	0.633924i	$-0.218557\pi$
$173$	5.38601	+	3.91317i	0.409491	+	0.297512i	−0.363905	+	0.931436i	$0.618557\pi$
$174$	21.6702	−	0.886021i	1.64281	−	0.0671691i
$175$	−0.644123	−	0.353409i	−0.0486911	−	0.0267152i
$176$	−3.52446	−	1.07188i	−0.265666	−	0.0807963i
$177$	−4.95690	−	17.7892i	−0.372584	−	1.33712i
$178$	−3.23747	−	1.96292i	−0.242659	−	0.147127i
$179$	−3.59156	−	11.0537i	−0.268446	−	0.826192i	−0.990879	−	0.134751i	$-0.956976\pi$
$179$	−3.59156	−	11.0537i	−0.268446	−	0.826192i	0.722434	−	0.691440i	$-0.243024\pi$
$180$	−9.37133	−	9.60094i	−0.698498	−	0.715612i
$181$	2.54354	−	7.82821i	0.189060	−	0.581866i	−0.810935	−	0.585136i	$-0.801041\pi$
$181$	2.54354	−	7.82821i	0.189060	−	0.581866i	0.999995	+	0.00327021i	$0.00104094\pi$
$182$	0.170574	−	0.147085i	0.0126438	−	0.0109026i
$183$	−5.43210	+	3.60502i	−0.401552	+	0.266491i
$184$	3.11791	+	1.23994i	0.229855	+	0.0914099i
$185$	3.36029	+	8.47676i	0.247053	+	0.623224i
$186$	11.4800	+	7.64428i	0.841758	+	0.560506i
$187$	2.16737	−	1.57469i	0.158494	−	0.115152i
$188$	−13.3428	+	6.95825i	−0.973122	+	0.507483i
$189$	−0.669656	+	0.366792i	−0.0487103	+	0.0266802i
$190$	−8.17627	+	15.6364i	−0.593169	+	1.13438i
$191$	−1.14157	+	0.829402i	−0.0826014	+	0.0600134i	−0.628320	−	0.777955i	$-0.716257\pi$
$191$	−1.14157	+	0.829402i	−0.0826014	+	0.0600134i	0.545718	+	0.837969i	$0.316257\pi$
$192$	−1.97547	−	13.7149i	−0.142567	−	0.989785i
$193$			7.01448i			0.504914i	0.967608	+	0.252457i	$0.0812385\pi$
$193$			7.01448i			0.504914i	−0.967608	+	0.252457i	$0.918761\pi$
$194$	2.89810	+	6.90409i	0.208072	+	0.495685i
$195$	4.19684	−	0.0874913i	0.300542	−	0.00626539i
$196$	13.7637	−	2.31364i	0.983122	−	0.165260i
$197$	−6.28495	−	19.3431i	−0.447784	−	1.37814i	−0.879401	−	0.476082i	$-0.842057\pi$
$197$	−6.28495	−	19.3431i	−0.447784	−	1.37814i	0.431617	−	0.902057i	$-0.357943\pi$
$198$	−3.71794	+	1.20170i	−0.264222	+	0.0854008i
$199$			0.0501295i			0.00355358i	0.999998	+	0.00177679i	$0.000565571\pi$
$199$			0.0501295i			0.00355358i	−0.999998	+	0.00177679i	$0.999434\pi$
$200$	3.52634	−	13.6954i	0.249350	−	0.968413i
$201$	−11.2233	−	8.90494i	−0.791630	−	0.628106i
$202$	−5.74997	+	0.479909i	−0.404566	+	0.0337663i
$203$	1.23737	−	0.402045i	0.0868462	−	0.0282180i
$204$	8.82295	+	4.86805i	0.617730	+	0.340832i
$205$	−7.85963	−	19.8269i	−0.548940	−	1.38477i
$206$	−1.59637	+	0.670102i	−0.111224	+	0.0466883i
$207$	3.46577	−	0.809100i	0.240887	−	0.0562363i
$208$	3.55501	+	2.48148i	0.246496	+	0.172060i
$209$	3.02054	+	4.15742i	0.208935	+	0.287575i
$210$	−0.696759	−	0.402837i	−0.0480809	−	0.0277984i
$211$	−8.60830	+	11.8483i	−0.592620	+	0.815671i	−0.995008	−	0.0997982i	$-0.968180\pi$
$211$	−8.60830	+	11.8483i	−0.592620	+	0.815671i	0.402388	+	0.915469i	$0.368180\pi$
$212$	5.19482	+	9.96130i	0.356781	+	0.684145i
$213$	9.82240	+	0.416779i	0.673020	+	0.0285572i
$214$	−16.8252	+	1.40428i	−1.15014	+	0.0959945i
$215$	10.1641	+	2.60517i	0.693186	+	0.177671i
$216$	−10.0278	−	10.7445i	−0.682305	−	0.731068i
$217$	0.786882	+	0.255673i	0.0534170	+	0.0173562i
$218$	−8.73588	−	10.1310i	−0.591668	−	0.686156i
$219$	−14.9906	−	22.5881i	−1.01297	−	1.52636i
$220$	−3.11622	−	2.69308i	−0.210095	−	0.181567i
$221$	−2.99854	+	0.974286i	−0.201704	+	0.0655376i
$222$	3.47223	+	9.36590i	0.233041	+	0.628598i
$223$	23.7828	+	17.2792i	1.59261	+	1.15710i	0.900089	+	0.435707i	$0.143502\pi$
$223$	23.7828	+	17.2792i	1.59261	+	1.15710i	0.692525	+	0.721394i	$0.256498\pi$
$224$	−0.336168	−	0.760214i	−0.0224612	−	0.0507939i
$225$	−5.22577	−	14.0603i	−0.348385	−	0.937352i
$226$	11.0375	+	12.8001i	0.734202	+	0.851452i
$227$	−5.64810	+	7.77395i	−0.374878	+	0.515975i	−0.954218	−	0.299111i	$-0.903310\pi$
$227$	−5.64810	+	7.77395i	−0.374878	+	0.515975i	0.579341	+	0.815085i	$0.303310\pi$
$228$	−9.33782	+	16.9241i	−0.618412	+	1.12082i
$229$	2.57814	+	7.93469i	0.170368	+	0.524339i	0.999392	−	0.0348746i	$-0.0111032\pi$
$229$	2.57814	+	7.93469i	0.170368	+	0.524339i	−0.829024	+	0.559214i	$0.811103\pi$
$230$	2.62453	+	2.68055i	0.173056	+	0.176750i
$231$	−0.195299	+	0.129610i	−0.0128497	+	0.00852774i
$232$	13.3869	+	21.1652i	0.878890	+	1.38957i
$233$	−4.87606	+	15.0070i	−0.319442	+	0.983140i	0.654446	+	0.756109i	$0.272902\pi$
$233$	−4.87606	+	15.0070i	−0.319442	+	0.983140i	−0.973887	+	0.227031i	$0.927098\pi$
$234$	4.59840	+	0.00709114i	0.300607	+	0.000463563i
$235$	−16.7907	+	1.06343i	−1.09530	+	0.0693705i
$236$	14.9349	−	15.2201i	0.972177	−	0.990747i
$237$	−1.14464	+	26.9762i	−0.0743524	+	1.75230i
$238$	0.588452	+	0.138334i	0.0381437	+	0.00896687i
$239$	−14.6621	−	10.6526i	−0.948412	−	0.689062i	0.00201847	−	0.999998i	$-0.499357\pi$
$239$	−14.6621	−	10.6526i	−0.948412	−	0.689062i	−0.950431	+	0.310936i	$0.899357\pi$
$240$	4.19776	−	14.9124i	0.270964	−	0.962589i
$241$	−22.7927	+	16.5599i	−1.46821	+	1.06671i	−0.487078	+	0.873359i	$0.661937\pi$
$241$	−22.7927	+	16.5599i	−1.46821	+	1.06671i	−0.981129	+	0.193356i	$0.938063\pi$
$242$	13.2379	−	5.55681i	0.850962	−	0.357205i
$243$	−15.2394	−	3.28051i	−0.977606	−	0.210445i
$244$	−6.73959	−	3.35406i	−0.431458	−	0.214722i
$245$	15.1156	+	3.87429i	0.965699	+	0.247519i
$246$	−8.12146	−	21.9066i	−0.517806	−	1.39671i
$247$	−1.86886	−	5.75176i	−0.118913	−	0.365976i
$248$	−1.02412	+	15.8930i	−0.0650315	+	1.00920i
$249$	−15.3556	+	19.3533i	−0.973120	+	1.22647i
$250$	9.81193	−	12.3986i	0.620561	−	0.784158i
$251$	0.635553			0.0401157			0.0200579	−	0.999799i	$-0.493615\pi$
$251$	0.635553			0.0401157			0.0200579	+	0.999799i	$0.493615\pi$
$252$	−0.753192	−	0.458260i	−0.0474466	−	0.0288677i
$253$	1.03908	−	0.337619i	0.0653266	−	0.0212259i
$254$	−7.88640	+	13.0071i	−0.494837	+	0.816141i
$255$	6.81065	+	8.97457i	0.426500	+	0.562009i
$256$	12.5792	−	9.88754i	0.786201	−	0.617971i
$257$	5.02373			0.313371			0.156686	−	0.987649i	$-0.449919\pi$
$257$	5.02373			0.313371			0.156686	+	0.987649i	$0.449919\pi$
$258$	11.0676	+	3.10234i	0.689036	+	0.193143i
$259$	0.352209	+	0.484774i	0.0218852	+	0.0301224i
$260$	2.50849	+	4.14757i	0.155570	+	0.257221i
$261$	24.4764	+	10.3188i	1.51505	+	0.638717i
$262$	−9.69272	−	2.27858i	−0.598818	−	0.140771i
$263$	−5.88016	−	8.09334i	−0.362586	−	0.499057i	0.588281	−	0.808657i	$-0.299805\pi$
$263$	−5.88016	−	8.09334i	−0.362586	−	0.499057i	−0.950867	+	0.309600i	$0.899805\pi$
$264$	−3.34675	−	3.02579i	−0.205978	−	0.186225i
$265$	0.793924	+	12.5354i	0.0487703	+	0.770045i
$266$	−0.265351	+	1.12876i	−0.0162697	+	0.0692087i
$267$	−2.56405	−	3.86355i	−0.156918	−	0.236446i
$268$	2.43325	−	16.3634i	0.148634	−	0.999552i
$269$	20.5645	+	6.68181i	1.25384	+	0.407397i	0.859296	−	0.511479i	$-0.170902\pi$
$269$	20.5645	+	6.68181i	1.25384	+	0.407397i	0.394545	+	0.918877i	$0.370902\pi$
$270$	−5.37834	−	15.5265i	−0.327315	−	0.944915i
$271$	−8.68144	+	2.82077i	−0.527360	+	0.171350i	−0.560583	−	0.828098i	$-0.689423\pi$
$271$	−8.68144	+	2.82077i	−0.527360	+	0.171350i	0.0332231	+	0.999448i	$0.489423\pi$
$272$	0.220141	+	11.6336i	0.0133480	+	0.705392i
$273$	0.265728	−	0.0740442i	0.0160826	−	0.00448136i
$274$	−2.69446	−	3.12476i	−0.162778	−	0.188774i
$275$	−1.96412	−	4.16492i	−0.118441	−	0.251154i
$276$	2.80858	+	3.00002i	0.169057	+	0.180580i
$277$	−15.4585	+	21.2768i	−0.928812	+	1.27840i	0.0315092	+	0.999503i	$0.489969\pi$
$277$	−15.4585	+	21.2768i	−0.928812	+	1.27840i	−0.960321	+	0.278897i	$0.910031\pi$
$278$	22.3256	+	13.5363i	1.33900	+	0.811854i
$279$	8.73554	+	14.4579i	0.522983	+	0.865570i
$280$	0.00102178	−	0.929337i	6.10628e−5	−	0.0555385i
$281$	−20.4876	−	6.65683i	−1.22219	−	0.397113i	−0.374310	−	0.927303i	$-0.622121\pi$
$281$	−20.4876	−	6.65683i	−1.22219	−	0.397113i	−0.847879	+	0.530190i	$0.822121\pi$
$282$	−18.4148	+	0.752919i	−1.09658	+	0.0448357i
$283$	5.09831	−	15.6910i	0.303063	−	0.932732i	−0.677330	−	0.735679i	$-0.736863\pi$
$283$	5.09831	−	15.6910i	0.303063	−	0.932732i	0.980393	−	0.197053i	$-0.0631369\pi$
$284$	5.24922	+	10.0656i	0.311484	+	0.597285i
$285$	−17.2149	+	13.0641i	−1.01972	+	0.773850i
$286$	1.40676	−	0.117413i	0.0831837	−	0.00694276i
$287$	−0.823808	−	1.13387i	−0.0486278	−	0.0669305i
$288$	4.96293	−	16.2287i	0.292443	−	0.956283i
$289$	6.90750	+	5.01859i	0.406324	+	0.295211i
$290$	4.08781	+	27.6994i	0.240045	+	1.62657i
$291$	−0.388768	+	9.16226i	−0.0227900	+	0.537101i
$292$	13.9471	−	28.0250i	0.816191	−	1.64004i
$293$	−7.00240			−0.409085			−0.204542	−	0.978858i	$-0.565571\pi$
$293$	−7.00240			−0.409085			−0.204542	+	0.978858i	$0.565571\pi$
$294$	16.4591	+	4.61365i	0.959917	+	0.269073i
$295$	22.1628	−	8.78561i	1.29037	−	0.511518i
$296$	−7.36558	+	8.87600i	−0.428116	+	0.515907i
$297$	−4.74679	−	0.607157i	−0.275437	−	0.0352308i
$298$	0.410804	−	0.0342869i	0.0237972	−	0.00198619i
$299$	−1.28580			−0.0743596
$300$	11.0498	−	13.3380i	0.637958	−	0.770071i
$301$	0.689516			0.0397430
$302$	11.2357	−	0.937763i	0.646541	−	0.0539622i
$303$	−6.62224	−	2.46670i	−0.380438	−	0.141708i
$304$	−22.3155	+	0.422271i	−1.27988	+	0.0242189i
$305$	−5.36768	−	6.48288i	−0.307352	−	0.371209i
$306$	7.23877	+	9.99568i	0.413813	+	0.571415i
$307$	6.62875			0.378323			0.189161	−	0.981946i	$-0.439423\pi$
$307$	6.62875			0.378323			0.189161	+	0.981946i	$0.439423\pi$
$308$	−0.242307	−	0.120588i	−0.0138067	−	0.00687113i
$309$	−2.11851	−	0.0898914i	−0.120518	−	0.00511374i
$310$	−8.25071	+	15.7788i	−0.468609	+	0.896175i
$311$	−19.4742	−	14.1488i	−1.10428	−	0.802306i	−0.122526	−	0.992465i	$-0.539099\pi$
$311$	−19.4742	−	14.1488i	−1.10428	−	0.802306i	−0.981753	+	0.190160i	$0.939099\pi$
$312$	2.64553	+	4.60380i	0.149773	+	0.260639i
$313$	16.2239	+	22.3303i	0.917030	+	1.26218i	0.964708	+	0.263321i	$0.0848178\pi$
$313$	16.2239	+	22.3303i	0.917030	+	1.26218i	−0.0476783	+	0.998863i	$0.515182\pi$
$314$	22.1780	−	1.85104i	1.25157	−	0.104460i
$315$	−0.562058	−	0.809763i	−0.0316684	−	0.0456250i
$316$	−27.6442	+	14.4165i	−1.55511	+	0.810989i
$317$	−6.14567	+	18.9144i	−0.345175	+	1.06234i	0.616315	+	0.787500i	$0.288625\pi$
$317$	−6.14567	+	18.9144i	−0.345175	+	1.06234i	−0.961490	+	0.274840i	$0.911375\pi$
$318$	0.562106	+	13.7479i	0.0315213	+	0.770943i
$319$	7.75529	+	2.51985i	0.434213	+	0.141084i
$320$	17.3381	−	4.40334i	0.969231	−	0.246154i
$321$	−19.3776	−	7.21788i	−1.08155	−	0.402863i
$322$	0.210803	+	0.127813i	0.0117476	+	0.00712274i
$323$	9.54059	−	13.1315i	0.530852	−	0.730656i
$324$	−5.50948	−	17.1361i	−0.306082	−	0.952005i
$325$	0.683711	+	5.37597i	0.0379255	+	0.298205i
$326$	−11.9502	−	13.8586i	−0.661860	−	0.767557i
$327$	−4.39775	−	15.7825i	−0.243196	−	0.872775i
$328$	17.2279	−	20.7607i	0.951252	−	1.14632i
$329$	−1.05148	+	0.341648i	−0.0579702	+	0.0188357i
$330$	−2.04892	−	4.60946i	−0.112789	−	0.253743i
$331$	−13.8344	−	4.49507i	−0.760408	−	0.247072i	−0.0969543	−	0.995289i	$-0.530910\pi$
$331$	−13.8344	−	4.49507i	−0.760408	−	0.247072i	−0.663454	+	0.748217i	$0.730910\pi$
$332$	−28.2168	−	4.19587i	−1.54860	−	0.230278i
$333$	−1.03633	+	12.1898i	−0.0567903	+	0.667996i
$334$	5.27580	−	22.4424i	0.288679	−	1.22800i
$335$	9.90410	−	15.6208i	0.541119	−	0.853455i
$336$	0.0239069	−	1.01776i	0.00130423	−	0.0555232i
$337$	−1.28077	−	1.76282i	−0.0697678	−	0.0960271i	0.772707	−	0.634763i	$-0.218902\pi$
$337$	−1.28077	−	1.76282i	−0.0697678	−	0.0960271i	−0.842475	+	0.538736i	$0.818902\pi$
$338$	16.2797	+	3.82705i	0.885497	+	0.208164i
$339$	5.55640	+	19.9407i	0.301782	+	1.08303i
$340$	−5.04835	+	11.9896i	−0.273785	+	0.650229i
$341$	3.04804	+	4.19527i	0.165061	+	0.227187i
$342$	−19.1736	+	13.8853i	−1.03679	+	0.750831i
$343$	2.05400			0.110906
$344$	3.28117	+	12.8603i	0.176909	+	0.693381i
$345$	1.51057	+	4.33918i	0.0813266	+	0.233613i
$346$	−4.88135	+	8.05086i	−0.262423	+	0.432817i
$347$	13.4076	−	4.35640i	0.719758	−	0.233864i	0.0738400	−	0.997270i	$-0.476475\pi$
$347$	13.4076	−	4.35640i	0.719758	−	0.233864i	0.645918	+	0.763406i	$0.276475\pi$
$348$	3.79764	+	30.4358i	0.203575	+	1.63153i
$349$	16.3242			0.873812			0.436906	−	0.899507i	$-0.356074\pi$
$349$	16.3242			0.873812			0.436906	+	0.899507i	$0.356074\pi$
$350$	0.422298	−	0.949341i	0.0225728	−	0.0507444i
$351$	5.09214	+	2.40585i	0.271798	+	0.128415i
$352$	1.09605	−	5.09315i	0.0584199	−	0.271466i
$353$	−1.83552	−	5.64916i	−0.0976950	−	0.300674i	0.890252	−	0.455469i	$-0.150528\pi$
$353$	−1.83552	−	5.64916i	−0.0976950	−	0.300674i	−0.987947	+	0.154795i	$0.950528\pi$
$354$	24.4875	−	9.07830i	1.30150	−	0.482506i
$355$	0.802238	+	12.6667i	0.0425784	+	0.672278i
$356$	2.38556	−	4.79350i	0.126435	−	0.254055i
$357$	0.579969	+	0.460167i	0.0306952	+	0.0243546i
$358$	15.1557	−	6.36183i	0.801001	−	0.336233i
$359$	−1.27036	+	0.922972i	−0.0670471	+	0.0487126i	−0.620804	−	0.783966i	$-0.713194\pi$
$359$	−1.27036	+	0.922972i	−0.0670471	+	0.0487126i	0.553757	+	0.832678i	$0.313194\pi$
$360$	12.4284	−	14.3365i	0.655036	−	0.755598i
$361$	9.81732	+	7.13270i	0.516701	+	0.375405i
$362$	11.3316	+	2.66385i	0.595575	+	0.140009i
$363$	17.5677	+	0.745422i	0.922064	+	0.0391245i
$364$	0.227352	+	0.223091i	0.0119165	+	0.0116931i
$365$	26.9576	−	22.3202i	1.41102	−	1.16829i
$366$	−5.71956	−	7.23148i	−0.298966	−	0.377996i
$367$	−9.78587	+	30.1178i	−0.510818	+	1.57214i	0.279945	+	0.960016i	$0.409684\pi$
$367$	−9.78587	+	30.1178i	−0.510818	+	1.57214i	−0.790764	+	0.612121i	$0.790316\pi$
$368$	−1.38072	+	4.53996i	−0.0719752	+	0.236662i
$369$	2.42394	−	28.5116i	0.126185	−	1.48425i
$370$	−11.5512	+	5.73278i	−0.600516	+	0.298033i
$371$	0.255064	+	0.785006i	0.0132423	+	0.0407555i
$372$	−9.42284	+	17.0781i	−0.488552	+	0.885461i
$373$	3.44247	−	4.73815i	0.178244	−	0.245332i	−0.710541	−	0.703655i	$-0.751550\pi$
$373$	3.44247	−	4.73815i	0.178244	−	0.245332i	0.888785	+	0.458323i	$0.151550\pi$
$374$	2.47416	+	2.86928i	0.127936	+	0.148367i
$375$	17.3390	−	8.62309i	0.895384	−	0.445294i
$376$	−11.3758	−	17.9857i	−0.586663	−	0.927541i
$377$	−7.76387	−	5.64078i	−0.399860	−	0.290515i
$378$	−0.595694	−	0.900611i	−0.0306392	−	0.0463224i
$379$	−26.0098	+	8.45110i	−1.33603	+	0.434104i	−0.887971	−	0.459899i	$-0.847886\pi$
$379$	−26.0098	+	8.45110i	−1.33603	+	0.434104i	−0.448062	+	0.894002i	$0.647886\pi$
$380$	−22.9983	−	9.68368i	−1.17979	−	0.496762i
$381$	−15.5225	+	10.3016i	−0.795244	+	0.527765i
$382$	−1.30316	−	1.51128i	−0.0666757	−	0.0773236i
$383$	1.23035	+	0.399764i	0.0628677	+	0.0204270i	0.340282	−	0.940323i	$-0.389477\pi$
$383$	1.23035	+	0.399764i	0.0628677	+	0.0204270i	−0.277414	+	0.960750i	$0.589477\pi$
$384$	19.0962	−	4.39727i	0.974498	−	0.224397i
$385$	−0.192983	−	0.233078i	−0.00983531	−	0.0118787i
$386$	−9.88560	+	0.825082i	−0.503164	+	0.0419956i
$387$	10.6470	+	9.20949i	0.541216	+	0.468145i
$388$	−9.38914	+	4.89643i	−0.476661	+	0.248579i
$389$	−6.07345	+	8.35939i	−0.307936	+	0.423838i	−0.934736	−	0.355342i	$-0.884364\pi$
$389$	−6.07345	+	8.35939i	−0.307936	+	0.423838i	0.626800	+	0.779180i	$0.284364\pi$
$390$	0.616958	+	5.90437i	0.0312409	+	0.298980i
$391$	−2.02840	−	2.79185i	−0.102580	−	0.141190i
$392$	4.87960	+	19.1252i	0.246457	+	0.965971i
$393$	−9.55300	−	7.57967i	−0.481885	−	0.382344i
$394$	26.5212	−	11.1327i	1.33612	−	0.560858i
$395$	−34.7878	+	2.20327i	−1.75036	+	0.110858i
$396$	−2.13089	−	5.09839i	−0.107081	−	0.256204i
$397$	−17.9507	+	5.83254i	−0.900920	+	0.292727i	−0.722617	−	0.691249i	$-0.757061\pi$
$397$	−17.9507	+	5.83254i	−0.900920	+	0.292727i	−0.178304	+	0.983976i	$0.557061\pi$
$398$	−0.0706481	+	0.00589650i	−0.00354127	+	0.000295565i
$399$	−0.882686	+	1.11249i	−0.0441896	+	0.0556941i
$400$	19.7159	+	3.35878i	0.985797	+	0.167939i
$401$		−	32.4818i		−	1.62207i	−0.585001	−	0.811033i	$-0.698906\pi$
$401$		−	32.4818i		−	1.62207i	0.585001	−	0.811033i	$-0.301094\pi$
$402$	11.2297	−	16.8646i	0.560087	−	0.841129i
$403$	−1.88588	−	5.80413i	−0.0939422	−	0.289124i
$404$	−1.35269	−	8.04706i	−0.0672986	−	0.400356i
$405$	2.13670	−	20.0109i	0.106174	−	0.994348i
$406$	0.712154	+	1.69655i	0.0353436	+	0.0841983i
$407$			3.75561i			0.186159i
$408$	−5.82280	+	13.0069i	−0.288272	+	0.643938i
$409$	7.06641	−	5.13405i	0.349412	−	0.253862i	−0.399211	−	0.916859i	$-0.630716\pi$
$409$	7.06641	−	5.13405i	0.349412	−	0.253862i	0.748622	+	0.662997i	$0.230716\pi$
$410$	27.0179	−	13.4088i	1.33432	−	0.662215i
$411$	−1.35643	−	4.86790i	−0.0669075	−	0.240116i
$412$	−1.13216	−	2.17097i	−0.0557774	−	0.106956i
$413$	1.26746	−	0.920865i	0.0623677	−	0.0453128i
$414$	1.54794	+	4.78918i	0.0760770	+	0.235375i
$415$	−26.9363	−	17.0785i	−1.32225	−	0.838351i
$416$	−3.07903	+	5.30201i	−0.150962	+	0.259953i
$417$	17.6817	+	26.6431i	0.865878	+	1.30472i
$418$	−5.50381	+	4.74591i	−0.269200	+	0.232130i
$419$	−0.264162	+	0.813006i	−0.0129051	+	0.0397180i	−0.957302	−	0.289091i	$-0.906647\pi$
$419$	−0.264162	+	0.813006i	−0.0129051	+	0.0397180i	0.944397	+	0.328809i	$0.106647\pi$
$420$	0.485767	−	1.02934i	0.0237030	−	0.0502264i
$421$	−11.9738	−	36.8516i	−0.583567	−	1.79604i	−0.604949	−	0.796264i	$-0.706807\pi$
$421$	−11.9738	−	36.8516i	−0.583567	−	1.79604i	0.0213818	−	0.999771i	$-0.493193\pi$
$422$	−17.7105	−	10.7381i	−0.862135	−	0.522724i
$423$	−20.7994	−	8.76865i	−1.01130	−	0.426346i
$424$	−13.4276	+	8.49283i	−0.652100	+	0.412448i
$425$	−10.5943	+	9.96535i	−0.513897	+	0.483391i
$426$	0.567992	+	13.8919i	0.0275193	+	0.673063i
$427$	−0.447460	−	0.325099i	−0.0216541	−	0.0157326i
$428$	−3.95814	−	23.5468i	−0.191324	−	1.13818i
$429$	1.62017	+	0.603492i	0.0782226	+	0.0291369i
$430$	−2.47594	+	14.6308i	−0.119401	+	0.705562i
$431$	10.3806	−	31.9482i	0.500016	−	1.53889i	−0.308976	−	0.951070i	$-0.599986\pi$
$431$	10.3806	−	31.9482i	0.500016	−	1.53889i	0.808991	−	0.587820i	$-0.200014\pi$
$432$	13.9628	−	15.3961i	0.671785	−	0.740746i
$433$	−13.8548	−	4.50169i	−0.665818	−	0.216337i	−0.0434423	−	0.999056i	$-0.513832\pi$
$433$	−13.8548	−	4.50169i	−0.665818	−	0.216337i	−0.622376	+	0.782719i	$0.713832\pi$
$434$	−0.267767	+	1.13904i	−0.0128532	+	0.0546755i
$435$	−9.91481	+	32.8276i	−0.475379	+	1.57396i
$436$	13.2501	−	13.5032i	0.634567	−	0.646688i
$437$	5.35529	−	3.89084i	0.256178	−	0.186124i
$438$	30.0704	−	23.7834i	1.43682	−	1.13642i
$439$	12.7796	−	17.5896i	0.609937	−	0.839507i	−0.386635	−	0.922233i	$-0.626363\pi$
$439$	12.7796	−	17.5896i	0.609937	−	0.839507i	0.996572	+	0.0827260i	$0.0263626\pi$
$440$	3.42884	−	4.70850i	0.163464	−	0.224469i
$441$	15.8337	+	13.6959i	0.753985	+	0.652187i
$442$	−1.72578	−	4.11129i	−0.0820869	−	0.195554i
$443$		−	8.06028i		−	0.382956i	−0.981497	−	0.191478i	$-0.938672\pi$
$443$		−	8.06028i		−	0.382956i	0.981497	−	0.191478i	$-0.0613280\pi$
$444$	−12.7911	+	5.99513i	−0.607037	+	0.284516i
$445$	4.61092	−	3.81773i	0.218579	−	0.180978i
$446$	−21.5544	+	35.5499i	−1.02063	+	1.68334i
$447$	0.473123	+	0.176232i	0.0223779	+	0.00833548i
$448$	1.03184	−	0.563186i	0.0487498	−	0.0266080i
$449$		−	27.9862i		−	1.32075i	−0.750936	−	0.660375i	$-0.770397\pi$
$449$		−	27.9862i		−	1.32075i	0.750936	−	0.660375i	$-0.229603\pi$
$450$	19.2007	−	9.01859i	0.905127	−	0.425140i
$451$		−	8.78428i		−	0.413636i
$452$	−16.7411	+	17.0609i	−0.787435	+	0.802477i
$453$	12.9401	+	4.82003i	0.607981	+	0.226465i
$454$	−11.6203	−	7.04553i	−0.545367	−	0.330663i
$455$	0.131236	+	0.331060i	0.00615243	+	0.0155203i
$456$	−24.9497	−	11.1692i	−1.16837	−	0.523046i
$457$		−	12.1121i		−	0.566581i	−0.959034	−	0.283291i	$-0.908574\pi$
$457$		−	12.1121i		−	0.566581i	0.959034	−	0.283291i	$-0.0914261\pi$
$458$	−10.8792	+	4.56672i	−0.508352	+	0.213389i
$459$	2.80923	+	14.8519i	0.131124	+	0.693226i
$460$	−3.46903	+	4.01409i	−0.161744	+	0.187158i
$461$	2.27653	−	3.13338i	0.106029	−	0.145936i	−0.752705	−	0.658358i	$-0.771251\pi$
$461$	2.27653	−	3.13338i	0.106029	−	0.145936i	0.858734	+	0.512422i	$0.171251\pi$
$462$	−0.205634	−	0.259992i	−0.00956695	−	0.0120959i
$463$	3.45359	−	2.50918i	0.160502	−	0.116612i	−0.504635	−	0.863333i	$-0.668373\pi$
$463$	3.45359	−	2.50918i	0.160502	−	0.116612i	0.665137	+	0.746721i	$0.268373\pi$
$464$	−28.2538	+	21.3558i	−1.31165	+	0.991420i
$465$	−17.3716	+	13.1830i	−0.805590	+	0.611349i
$466$	−21.7231	−	5.10670i	−1.00630	−	0.236563i
$467$	−8.56240	−	2.78209i	−0.396221	−	0.128740i	0.104128	−	0.994564i	$-0.466795\pi$
$467$	−8.56240	−	2.78209i	−0.396221	−	0.128740i	−0.500349	+	0.865824i	$0.666795\pi$
$468$	0.530895	+	6.48142i	0.0245406	+	0.299604i
$469$	0.375593	−	1.15596i	0.0173433	−	0.0533771i
$470$	−3.47372	−	23.5383i	−0.160231	−	1.08574i
$471$	25.5424	+	9.51419i	1.17693	+	0.438391i
$472$	23.2067	+	19.2576i	1.06817	+	0.886404i
$473$	3.49624	+	2.54016i	0.160757	+	0.116797i
$474$	−38.1526	+	1.55993i	−1.75241	+	0.0716501i
$475$	−19.1154	−	20.3217i	−0.877074	−	0.932426i
$476$	−0.125739	+	0.845584i	−0.00576325	+	0.0387573i
$477$	−6.54640	+	15.5282i	−0.299739	+	0.710988i
$478$	13.2883	−	21.9165i	0.607791	−	1.00244i
$479$	9.41830	+	28.9865i	0.430333	+	1.32443i	0.897794	+	0.440415i	$0.145169\pi$
$479$	9.41830	+	28.9865i	0.430333	+	1.32443i	−0.467461	+	0.884014i	$0.654831\pi$
$480$	21.5100	+	4.16189i	0.981791	+	0.189963i
$481$	1.36582	−	4.20355i	0.0622758	−	0.191665i
$482$	−26.0190	−	30.1742i	−1.18513	−	1.37440i
$483$	0.166955	+	0.251570i	0.00759671	+	0.0114468i
$484$	9.38839	+	18.0027i	0.426745	+	0.818304i
$485$	−11.8154	+	0.748322i	−0.536510	+	0.0339795i
$486$	2.83073	−	21.8629i	0.128405	−	0.991722i
$487$	−25.3173	+	18.3941i	−1.14724	+	0.833517i	−0.988111	−	0.153741i	$-0.950868\pi$
$487$	−25.3173	+	18.3941i	−1.14724	+	0.833517i	−0.159127	+	0.987258i	$0.550868\pi$
$488$	3.93418	−	9.89271i	0.178092	−	0.447822i
$489$	−6.01587	−	21.5896i	−0.272047	−	0.976316i
$490$	−3.68211	+	21.7583i	−0.166341	+	0.982940i
$491$	−28.2618	+	20.5334i	−1.27544	+	0.926661i	−0.999405	−	0.0344873i	$-0.989020\pi$
$491$	−28.2618	+	20.5334i	−1.27544	+	0.926661i	−0.276034	+	0.961148i	$0.589020\pi$
$492$	29.9180	−	14.0225i	1.34881	−	0.632181i
$493$		−	25.7562i		−	1.16000i
$494$	7.88621	−	3.31037i	0.354817	−	0.148940i
$495$	0.133200	−	6.17657i	0.00598692	−	0.277616i
$496$	−22.5186	+	0.426115i	−1.01112	+	0.0191331i
$497$	0.257735	+	0.793227i	0.0115610	+	0.0355811i
$498$	−29.0811	−	19.3644i	−1.30315	−	0.867738i
$499$			13.1530i			0.588810i	0.955681	+	0.294405i	$0.0951215\pi$
$499$			13.1530i			0.588810i	−0.955681	+	0.294405i	$0.904879\pi$
$500$	18.6277	+	12.3697i	0.833055	+	0.553189i
$501$	17.5499	−	22.1189i	0.784072	−	0.988200i
$502$	0.0747572	+	0.895693i	0.00333658	+	0.0399767i
$503$	−14.8552	+	4.82676i	−0.662362	+	0.215214i	−0.620857	−	0.783924i	$-0.713215\pi$
$503$	−14.8552	+	4.82676i	−0.662362	+	0.215214i	−0.0415050	+	0.999138i	$0.513215\pi$
$504$	0.557238	−	1.11539i	0.0248213	−	0.0496833i
$505$	2.26513	−	8.83744i	0.100797	−	0.393261i
$506$	0.598033	+	1.42468i	0.0265858	+	0.0633348i
$507$	16.0450	+	12.7306i	0.712582	+	0.565387i
$508$	−19.2588	−	9.58444i	−0.854470	−	0.425241i
$509$	−1.95824	−	2.69529i	−0.0867976	−	0.119467i	0.763410	−	0.645914i	$-0.223524\pi$
$509$	−1.95824	−	2.69529i	−0.0867976	−	0.119467i	−0.850208	+	0.526448i	$0.823524\pi$
$510$	−11.8469	+	10.6540i	−0.524588	+	0.471766i
$511$	1.35185	−	1.86066i	0.0598022	−	0.0823107i
$512$	15.4143	+	16.5650i	0.681221	+	0.732078i
$513$	−28.4887	+	5.38863i	−1.25781	+	0.237914i
$514$	0.590918	+	7.08000i	0.0260643	+	0.312286i
$515$	−0.173028	−	2.73197i	−0.00762451	−	0.120385i
$516$	−3.07034	+	15.9626i	−0.135164	+	0.702713i
$517$	−6.59025	−	2.14130i	−0.289839	−	0.0941744i
$518$	−0.641770	+	0.553395i	−0.0281977	+	0.0243148i
$519$	−9.60779	+	6.37623i	−0.421735	+	0.279885i
$520$	−5.55016	+	4.02311i	−0.243391	+	0.176425i
$521$	33.0588	−	10.7414i	1.44833	−	0.470591i	0.523847	−	0.851813i	$-0.324497\pi$
$521$	33.0588	−	10.7414i	1.44833	−	0.470591i	0.924484	+	0.381222i	$0.124497\pi$
$522$	−11.6634	+	35.7087i	−0.510491	+	1.56293i
$523$	19.6936	+	14.3082i	0.861139	+	0.625654i	0.928195	−	0.372095i	$-0.121361\pi$
$523$	19.6936	+	14.3082i	0.861139	+	0.625654i	−0.0670557	+	0.997749i	$0.521361\pi$
$524$	2.07112	−	13.9281i	0.0904775	−	0.608452i
$525$	0.963048	−	0.831815i	0.0420308	−	0.0363034i
$526$	10.7144	−	9.23896i	0.467170	−	0.402838i
$527$	9.62745	−	13.2511i	0.419378	−	0.577225i
$528$	3.87062	−	5.07254i	0.168447	−	0.220754i
$529$	6.67249	+	20.5358i	0.290108	+	0.892862i
$530$	−17.5729	+	2.59337i	−0.763320	+	0.112649i
$531$	31.8707	+	2.70952i	1.38307	+	0.117583i
$532$	−1.62199	−	0.241191i	−0.0703221	−	0.0104570i
$533$	−3.19461	+	9.83199i	−0.138374	+	0.425871i
$534$	5.14336	−	4.06801i	0.222575	−	0.176040i
$535$	6.62807	−	25.8595i	0.286556	−	1.11800i
$536$	23.3473	+	1.50446i	1.00845	+	0.0649829i
$537$	20.1127	+	0.853412i	0.867928	+	0.0368275i
$538$	−6.99786	+	29.7678i	−0.301699	+	1.28338i
$539$	5.19944	+	3.77761i	0.223956	+	0.162713i
$540$	21.2491	−	9.40608i	0.914417	−	0.404773i
$541$	17.5283	−	12.7351i	0.753601	−	0.547523i	−0.143340	−	0.989674i	$-0.545784\pi$
$541$	17.5283	−	12.7351i	0.753601	−	0.547523i	0.896941	+	0.442150i	$0.145784\pi$
$542$	−4.99651	−	11.9031i	−0.214618	−	0.511281i
$543$	11.1682	+	8.86126i	0.479275	+	0.380273i
$544$	−16.3695	+	1.67866i	−0.701838	+	0.0719718i
$545$	19.6628	−	7.79456i	0.842261	−	0.333882i
$546$	0.135608	+	0.365785i	0.00580348	+	0.0156541i
$547$	−4.26103	−	13.1141i	−0.182188	−	0.560718i	0.817700	−	0.575644i	$-0.195249\pi$
$547$	−4.26103	−	13.1141i	−0.182188	−	0.560718i	−0.999889	+	0.0149263i	$0.995249\pi$
$548$	4.08683	−	4.16489i	0.174581	−	0.177915i
$549$	−2.56717	−	10.9964i	−0.109564	−	0.469316i
$550$	5.63865	−	3.25796i	0.240433	−	0.138920i
$551$	49.4052			2.10473
$552$	−3.89761	+	4.31105i	−0.165893	+	0.183490i
$553$	−2.17852	+	0.707843i	−0.0926400	+	0.0301006i
$554$	−31.8040	−	19.2832i	−1.35122	−	0.819264i
$555$	−15.7903	+	0.329179i	−0.670260	+	0.0139729i
$556$	−16.4509	+	33.0560i	−0.697671	+	1.40189i
$557$	34.0690			1.44355			0.721775	−	0.692127i	$-0.243326\pi$
$557$	34.0690			1.44355			0.721775	+	0.692127i	$0.243326\pi$
$558$	−19.3482	+	14.0117i	−0.819073	+	0.593164i
$559$	−2.98945	−	4.11462i	−0.126440	−	0.174030i
$560$	1.30985	−	0.107874i	0.0553511	−	0.00455849i
$561$	1.24552	+	4.46990i	0.0525860	+	0.188720i
$562$	6.97170	−	29.6565i	0.294083	−	1.25098i
$563$	2.17518	+	2.99388i	0.0916730	+	0.126177i	0.852390	−	0.522907i	$-0.175152\pi$
$563$	2.17518	+	2.99388i	0.0916730	+	0.126177i	−0.760717	+	0.649084i	$0.775152\pi$
$564$	−3.22714	−	25.8636i	−0.135887	−	1.08905i
$565$	−24.8433	+	9.84816i	−1.04516	+	0.414315i
$566$	22.7132	+	5.33946i	0.954707	+	0.224434i
$567$	−0.190479	−	1.30868i	−0.00799935	−	0.0549594i
$568$	−13.5682	+	8.58177i	−0.569308	+	0.360083i
$569$	−0.409563	−	0.133075i	−0.0171698	−	0.00557880i	0.300420	−	0.953807i	$-0.402873\pi$
$569$	−0.409563	−	0.133075i	−0.0171698	−	0.00557880i	−0.317589	+	0.948228i	$0.602873\pi$
$570$	−20.4363	−	22.7245i	−0.855983	−	0.951825i
$571$	7.45937	−	2.42370i	0.312165	−	0.101429i	−0.148745	−	0.988876i	$-0.547523\pi$
$571$	7.45937	−	2.42370i	0.312165	−	0.101429i	0.460910	+	0.887447i	$0.347523\pi$
$572$	0.330942	+	1.96876i	0.0138374	+	0.0823180i
$573$	−0.656029	−	2.35434i	−0.0274060	−	0.0983540i
$574$	1.50108	−	1.29438i	0.0626540	−	0.0540262i
$575$	−5.36495	+	2.53004i	−0.223734	+	0.105510i
$576$	23.4550	+	5.08542i	0.977293	+	0.211892i
$577$	−5.30734	+	7.30493i	−0.220948	+	0.304108i	−0.905073	−	0.425256i	$-0.860184\pi$
$577$	−5.30734	+	7.30493i	−0.220948	+	0.304108i	0.684126	+	0.729364i	$0.260184\pi$
$578$	−6.26027	+	10.3252i	−0.260393	+	0.429470i
$579$	−11.3853	−	4.24085i	−0.473155	−	0.176244i
$580$	−38.5563	+	9.01916i	−1.60096	+	0.374500i
$581$	−1.99332	−	0.647668i	−0.0826967	−	0.0268698i
$582$	−12.9582	+	0.529819i	−0.537136	+	0.0219617i
$583$	−1.59863	+	4.92008i	−0.0662085	+	0.203769i
$584$	41.1365	+	16.3594i	1.70224	+	0.676955i
$585$	−2.39534	+	6.86482i	−0.0990352	+	0.283825i
$586$	−0.823661	−	9.86858i	−0.0340251	−	0.407667i
$587$	21.0438	+	28.9643i	0.868570	+	1.19548i	0.979457	+	0.201651i	$0.0646306\pi$
$587$	21.0438	+	28.9643i	0.868570	+	1.19548i	−0.110888	+	0.993833i	$0.535369\pi$
$588$	−4.56606	+	23.7388i	−0.188301	+	0.978970i
$589$	25.4180	+	18.4672i	1.04733	+	0.760930i
$590$	14.9886	+	30.2010i	0.617071	+	1.24335i
$591$	35.1957	+	1.49341i	1.44776	+	0.0614305i
$592$	−13.3754	−	9.33637i	−0.549728	−	0.383723i
$593$	−13.8839			−0.570143			−0.285071	−	0.958506i	$-0.592017\pi$
$593$	−13.8839			−0.570143			−0.285071	+	0.958506i	$0.592017\pi$
$594$	0.297331	−	6.76114i	0.0121996	−	0.277413i
$595$	−0.511799	+	0.807212i	−0.0209817	+	0.0330925i
$596$	0.0966419	+	0.574918i	0.00395861	+	0.0235496i
$597$	−0.0813655	−	0.0303075i	−0.00333007	−	0.00124041i
$598$	−0.151243	−	1.81209i	−0.00618477	−	0.0741020i
$599$	1.11279			0.0454673			0.0227336	−	0.999742i	$-0.492763\pi$
$599$	1.11279			0.0454673			0.0227336	+	0.999742i	$0.492763\pi$
$600$	20.0972	+	14.0037i	0.820464	+	0.571698i
$601$	−8.51068			−0.347158			−0.173579	−	0.984820i	$-0.555533\pi$
$601$	−8.51068			−0.347158			−0.173579	+	0.984820i	$0.555533\pi$
$602$	0.0811046	+	0.971743i	0.00330558	+	0.0396053i
$603$	21.2391	−	12.8328i	0.864924	−	0.522592i
$604$	2.64320	+	15.7243i	0.107550	+	0.639812i
$605$	1.43483	+	22.6548i	0.0583340	+	0.921048i
$606$	2.69740	−	9.62296i	0.109575	−	0.390906i
$607$	18.2182			0.739454			0.369727	−	0.929140i	$-0.379451\pi$
$607$	18.2182			0.739454			0.369727	+	0.929140i	$0.379451\pi$
$608$	−3.21998	−	31.3998i	−0.130587	−	1.27343i
$609$	−0.0955324	+	2.25145i	−0.00387117	+	0.0912334i
$610$	8.50504	−	8.32729i	0.344359	−	0.337162i
$611$	6.59754	+	4.79339i	0.266908	+	0.193920i
$612$	−13.2356	+	11.3774i	−0.535017	+	0.459906i
$613$	−8.86037	−	12.1952i	−0.357867	−	0.492561i	0.591686	−	0.806169i	$-0.298463\pi$
$613$	−8.86037	−	12.1952i	−0.357867	−	0.492561i	−0.949553	+	0.313607i	$0.898463\pi$
$614$	0.779710	+	9.34199i	0.0314665	+	0.377012i
$615$	36.9330	−	0.769941i	1.48928	−	0.0310470i
$616$	0.141445	−	0.355670i	0.00569897	−	0.0143304i
$617$	−7.80536	+	24.0224i	−0.314232	+	0.967107i	0.661837	+	0.749647i	$0.269777\pi$
$617$	−7.80536	+	24.0224i	−0.314232	+	0.967107i	−0.976069	+	0.217459i	$0.930223\pi$
$618$	−0.122505	−	2.99621i	−0.00492789	−	0.120525i
$619$	21.5369	+	6.99777i	0.865641	+	0.281264i	0.707983	−	0.706230i	$-0.249605\pi$
$619$	21.5369	+	6.99777i	0.865641	+	0.281264i	0.157659	+	0.987494i	$0.449605\pi$
$620$	−23.2077	−	9.77185i	−0.932045	−	0.392447i
$621$	−0.782096	+	6.11448i	−0.0313844	+	0.245366i
$622$	17.6495	−	29.1095i	0.707679	−	1.16718i
$623$	0.231225	−	0.318254i	0.00926384	−	0.0127506i
$624$	−6.17702	+	4.26990i	−0.247279	+	0.170933i
$625$	13.4310	+	21.0858i	0.537238	+	0.843431i
$626$	−29.5621	+	25.4912i	−1.18154	+	1.01883i
$627$	−8.57411	+	2.38915i	−0.342417	+	0.0954133i
$628$	5.21739	+	31.0380i	0.208196	+	1.23855i
$629$	11.2818	−	3.66567i	0.449834	−	0.146160i
$630$	1.07510	−	0.887365i	0.0428329	−	0.0353535i
$631$	−19.2741	−	6.26254i	−0.767291	−	0.249308i	−0.100886	−	0.994898i	$-0.532168\pi$
$631$	−19.2741	−	6.26254i	−0.767291	−	0.249308i	−0.666405	+	0.745590i	$0.732168\pi$
$632$	−23.5690	−	37.2636i	−0.937523	−	1.48227i
$633$	−14.0266	−	21.1355i	−0.557508	−	0.840061i
$634$	−27.3792	−	6.43636i	−1.08737	−	0.255620i
$635$	−15.3385	−	18.5252i	−0.608688	−	0.735151i
$636$	−19.3090	+	2.40928i	−0.765650	+	0.0955344i
$637$	−4.44576	−	6.11907i	−0.176148	−	0.242446i
$638$	−2.63903	+	11.2260i	−0.104480	+	0.444443i
$639$	−6.61496	+	15.6908i	−0.261684	+	0.620720i
$640$	8.24509	+	23.9169i	0.325916	+	0.945399i
$641$	12.6976	+	17.4767i	0.501524	+	0.690289i	0.982461	−	0.186466i	$-0.0597035\pi$
$641$	12.6976	+	17.4767i	0.501524	+	0.690289i	−0.480937	+	0.876755i	$0.659703\pi$
$642$	7.89296	−	28.1580i	0.311510	−	1.11131i
$643$	28.1000			1.10815			0.554077	−	0.832465i	$-0.313071\pi$
$643$	28.1000			1.10815			0.554077	+	0.832465i	$0.313071\pi$
$644$	−0.155333	+	0.312122i	−0.00612096	+	0.0122993i
$645$	−10.3735	+	14.9224i	−0.408458	+	0.587568i
$646$	19.6286	+	11.9011i	0.772277	+	0.468242i
$647$	−18.7025	+	6.07680i	−0.735270	+	0.238904i	−0.652631	−	0.757676i	$-0.726335\pi$
$647$	−18.7025	+	6.07680i	−0.735270	+	0.238904i	−0.0826390	+	0.996580i	$0.526335\pi$
$648$	23.5021	−	9.78023i	0.923248	−	0.384204i
$649$	9.81920			0.385437
$650$	−7.49601	+	1.59591i	−0.294018	+	0.0625969i
$651$	−0.890723	+	1.12262i	−0.0349102	+	0.0439988i
$652$	18.1255	−	18.4717i	0.709848	−	0.723408i
$653$	−4.77116	−	14.6841i	−0.186710	−	0.574635i	0.813264	−	0.581896i	$-0.197689\pi$
$653$	−4.77116	−	14.6841i	−0.186710	−	0.574635i	−0.999974	+	0.00726094i	$0.997689\pi$
$654$	21.7252	−	8.05423i	0.849524	−	0.314945i
$655$	8.43013	−	13.2960i	0.329393	−	0.519520i
$656$	31.2848	+	21.8375i	1.22147	+	0.852612i
$657$	45.7260	−	10.6750i	1.78394	−	0.416470i
$658$	−0.605170	−	1.44168i	−0.0235920	−	0.0562027i
$659$	23.6450	−	17.1791i	0.921077	−	0.669202i	−0.0227147	−	0.999742i	$-0.507231\pi$
$659$	23.6450	−	17.1791i	0.921077	−	0.669202i	0.943792	+	0.330540i	$0.107231\pi$
$660$	6.25517	−	3.42976i	0.243482	−	0.133503i
$661$	6.74049	+	4.89725i	0.262175	+	0.190481i	0.711105	−	0.703086i	$-0.248195\pi$
$661$	6.74049	+	4.89725i	0.262175	+	0.190481i	−0.448931	+	0.893567i	$0.648195\pi$
$662$	4.70769	−	20.0258i	0.182970	−	0.778323i
$663$	0.231506	−	5.45600i	0.00899094	−	0.211893i
$664$	2.59428	−	40.2598i	0.100678	−	1.56238i
$665$	−1.54838	−	0.981725i	−0.0600437	−	0.0380697i
$666$	−17.3011	−	0.0266799i	−0.670405	−	0.00103382i
$667$	3.24588	−	9.98981i	0.125681	−	0.386807i
$668$	32.2490	+	4.79546i	1.24775	+	0.185542i
$669$	−42.4247	+	28.1553i	−1.64023	+	1.08854i
$670$	23.1796	+	12.1206i	0.895505	+	0.468259i
$671$	−1.07122	−	3.29687i	−0.0413539	−	0.127274i
$672$	1.43715	−	0.0860218i	0.0554393	−	0.00331836i
$673$	−2.93461	+	4.03914i	−0.113121	+	0.155697i	−0.861823	−	0.507209i	$-0.830677\pi$
$673$	−2.93461	+	4.03914i	−0.113121	+	0.155697i	0.748702	+	0.662906i	$0.230677\pi$
$674$	2.33372	−	2.01235i	0.0898915	−	0.0775130i
$675$	25.9808	+	0.0186580i	1.00000	+	0.000718147i
$676$	−3.47861	+	23.3933i	−0.133793	+	0.899742i
$677$	19.0640	+	13.8508i	0.732690	+	0.532330i	0.890413	−	0.455153i	$-0.150415\pi$
$677$	19.0640	+	13.8508i	0.732690	+	0.532330i	−0.157724	+	0.987483i	$0.550415\pi$
$678$	−27.4491	+	10.1762i	−1.05418	+	0.390816i
$679$	−0.739916	+	0.240413i	−0.0283954	+	0.00922622i
$680$	−17.4910	−	5.70443i	−0.670748	−	0.218755i
$681$	−9.20319	−	13.8675i	−0.352667	−	0.531403i
$682$	−5.55392	+	4.78912i	−0.212671	+	0.183385i
$683$	−17.7725	−	5.77463i	−0.680046	−	0.220960i	−0.0514304	−	0.998677i	$-0.516378\pi$
$683$	−17.7725	−	5.77463i	−0.680046	−	0.220960i	−0.628615	+	0.777716i	$0.716378\pi$
$684$	−21.8240	−	25.3883i	−0.834463	−	0.970747i
$685$	6.06472	−	2.40413i	0.231721	−	0.0918569i
$686$	0.241603	+	2.89473i	0.00922445	+	0.110521i
$687$	−14.4376	−	0.612606i	−0.550827	−	0.0233724i
$688$	−17.7383	+	6.13690i	−0.676265	+	0.233967i
$689$	3.57860	−	4.92552i	0.136334	−	0.187647i
$690$	−5.93758	+	2.63927i	−0.226040	+	0.100475i
$691$	23.7900	+	32.7441i	0.905014	+	1.24565i	0.968841	+	0.247684i	$0.0796695\pi$
$691$	23.7900	+	32.7441i	0.905014	+	1.24565i	−0.0638268	+	0.997961i	$0.520331\pi$
$692$	−11.9204	−	5.93236i	−0.453144	−	0.225514i
$693$	−0.0922968	−	0.395352i	−0.00350606	−	0.0150182i
$694$	7.71661	+	18.3831i	0.292918	+	0.697813i
$695$	−31.7969	+	26.3271i	−1.20613	+	0.998645i
$696$	−42.4469	+	8.93210i	−1.60895	+	0.338570i
$697$	−26.3878	+	8.57391i	−0.999509	+	0.324760i
$698$	1.92014	+	23.0059i	0.0726783	+	0.870785i
$699$	−21.4099	−	16.9874i	−0.809798	−	0.642522i
$700$	1.38759	+	0.483484i	0.0524461	+	0.0182740i
$701$			25.9868i			0.981509i	0.871298	+	0.490754i	$0.163279\pi$
$701$			25.9868i			0.981509i	−0.871298	+	0.490754i	$0.836721\pi$
$702$	−2.79164	+	7.45941i	−0.105364	+	0.281537i
$703$	7.03144	+	21.6405i	0.265196	+	0.816189i
$704$	7.30678	+	0.945600i	0.275384	+	0.0356386i
$705$	8.42536	−	27.8960i	0.317317	−	1.05063i
$706$	7.74553	−	3.25131i	0.291507	−	0.122365i
$707$		−	0.599517i		−	0.0225471i
$708$	15.6745	+	33.4428i	0.589084	+	1.25686i
$709$	11.3090	−	8.21650i	0.424720	−	0.308577i	−0.354814	−	0.934937i	$-0.615456\pi$
$709$	11.3090	−	8.21650i	0.424720	−	0.308577i	0.779534	+	0.626360i	$0.215456\pi$
$710$	−17.7570	+	2.62053i	−0.666408	+	0.0983468i
$711$	−43.0933	−	18.1673i	−1.61612	−	0.681328i
$712$	7.03615	+	2.79817i	0.263691	+	0.104866i
$713$	5.40405	−	3.92627i	0.202383	−	0.147040i
$714$	−0.580300	+	0.871485i	−0.0217172	+	0.0326145i
$715$	−0.554178	+	2.16213i	−0.0207251	+	0.0808591i
$716$	10.7485	+	20.6108i	0.401690	+	0.770260i
$717$	26.1549	−	17.3577i	0.976771	−	0.648236i
$718$	−1.45018	−	1.68177i	−0.0541204	−	0.0627632i
$719$	−9.59929	+	29.5436i	−0.357993	+	1.10179i	0.596261	+	0.802791i	$0.296652\pi$
$719$	−9.59929	+	29.5436i	−0.357993	+	1.10179i	−0.954254	+	0.298998i	$0.903348\pi$
$720$	21.6665	+	15.8292i	0.807462	+	0.589920i
$721$	−0.0555886	−	0.171084i	−0.00207023	−	0.00637151i
$722$	−8.89744	+	14.6747i	−0.331128	+	0.546134i
$723$	−13.0983	−	47.0068i	−0.487131	−	1.74820i
$724$	−2.42131	+	16.2831i	−0.0899874	+	0.605156i
$725$	−43.4938	−	8.25919i	−1.61532	−	0.306739i
$726$	1.01587	+	24.8460i	0.0377026	+	0.922123i
$727$	−32.3401	−	23.4965i	−1.19943	−	0.871436i	−0.205201	−	0.978720i	$-0.565785\pi$
$727$	−32.3401	−	23.4965i	−1.19943	−	0.871436i	−0.994228	+	0.107283i	$0.965785\pi$
$728$	−0.287663	+	0.346652i	−0.0106615	+	0.0128478i
$729$	14.5381	−	22.7518i	0.538449	−	0.842658i
$730$	34.6271	+	35.3662i	1.28161	+	1.30896i
$731$	4.21809	−	12.9819i	0.156012	−	0.480155i
$732$	9.51866	−	8.91125i	0.351820	−	0.329369i
$733$	−48.1127	−	15.6328i	−1.77708	−	0.577410i	−0.778356	−	0.627823i	$-0.783946\pi$
$733$	−48.1127	−	15.6328i	−1.77708	−	0.577410i	−0.998728	+	0.0504128i	$0.983946\pi$
$734$	−43.5965	−	10.2487i	−1.60918	−	0.378288i
$735$	−15.4270	+	22.1919i	−0.569035	+	0.818559i
$736$	−6.56064	−	1.41186i	−0.241828	−	0.0520418i
$737$	6.16300	−	4.47768i	0.227017	−	0.164937i
$738$	40.4669	+	0.0624035i	1.48961	+	0.00229710i
$739$	−7.82821	+	10.7746i	−0.287965	+	0.396350i	−0.928352	−	0.371703i	$-0.878774\pi$
$739$	−7.82821	+	10.7746i	−0.287965	+	0.396350i	0.640387	+	0.768053i	$0.278774\pi$
$740$	−9.43800	−	15.6049i	−0.346948	−	0.573647i
$741$	10.4656	+	0.444071i	0.384464	+	0.0163134i
$742$	−1.07632	+	0.451802i	−0.0395128	+	0.0165862i
$743$			41.3570i			1.51724i	0.651533	+	0.758620i	$0.274126\pi$
$743$			41.3570i			1.51724i	−0.651533	+	0.758620i	$0.725874\pi$
$744$	−25.1768	−	11.2709i	−0.923027	−	0.413212i
$745$	−0.161831	+	0.631386i	−0.00592903	+	0.0231322i
$746$	7.08246	+	4.29419i	0.259307	+	0.157221i
$747$	−22.1287	−	36.6245i	−0.809648	−	1.34002i
$748$	−3.75269	+	3.82437i	−0.137212	+	0.139833i
$749$		−	1.75426i		−	0.0640994i
$750$	14.1921	+	23.4218i	0.518224	+	0.855245i
$751$			22.6414i			0.826197i	0.910686	+	0.413098i	$0.135553\pi$
$751$			22.6414i			0.826197i	−0.910686	+	0.413098i	$0.864447\pi$
$752$	24.0094	−	18.1477i	0.875532	−	0.661777i
$753$	−0.384246	+	1.03157i	−0.0140027	+	0.0375925i
$754$	7.03640	−	11.6052i	0.256251	−	0.422637i
$755$	−4.42616	+	17.2687i	−0.161084	+	0.628473i
$756$	1.19917	−	0.945454i	0.0436136	−	0.0343858i
$757$		−	4.74016i		−	0.172284i	−0.996283	−	0.0861420i	$-0.972546\pi$
$757$		−	4.74016i		−	0.172284i	0.996283	−	0.0861420i	$-0.0274539\pi$
$758$	−14.9697	−	35.6619i	−0.543722	−	1.29530i
$759$	−0.0802235	+	1.89066i	−0.00291193	+	0.0686267i
$760$	10.9422	−	33.5509i	0.396914	−	1.21702i
$761$	−14.4110	+	19.8351i	−0.522399	+	0.719020i	−0.985948	−	0.167051i	$-0.946576\pi$
$761$	−14.4110	+	19.8351i	−0.522399	+	0.719020i	0.463549	+	0.886071i	$0.346576\pi$
$762$	−16.3440	−	20.6644i	−0.592080	−	0.748592i
$763$	1.12449	−	0.816987i	0.0407092	−	0.0295769i
$764$	1.97658	−	2.01433i	0.0715100	−	0.0728760i
$765$	−18.6843	+	5.62852i	−0.675532	+	0.203500i
$766$	−0.418672	+	1.78097i	−0.0151272	+	0.0643489i
$767$	−10.9903	−	3.57098i	−0.396838	−	0.128941i
$768$	8.44333	+	26.3953i	0.304672	+	0.952457i
$769$	−15.2533	+	46.9449i	−0.550049	+	1.69288i	0.158624	+	0.987339i	$0.449294\pi$
$769$	−15.2533	+	46.9449i	−0.550049	+	1.69288i	−0.708673	+	0.705537i	$0.750706\pi$
$770$	0.305780	−	0.299389i	0.0110195	−	0.0107892i
$771$	−3.03727	+	8.15404i	−0.109385	+	0.293661i
$772$	−2.32560	−	13.8349i	−0.0837001	−	0.497928i
$773$	8.19491	+	5.95395i	0.294750	+	0.214149i	0.725325	−	0.688406i	$-0.241689\pi$
$773$	8.19491	+	5.95395i	0.294750	+	0.214149i	−0.430575	+	0.902555i	$0.641689\pi$
$774$	−11.7267	+	16.0882i	−0.421508	+	0.578278i
$775$	−19.2894	−	20.5068i	−0.692897	−	0.736625i
$776$	−8.00501	−	12.6563i	−0.287363	−	0.454334i
$777$	−0.999781	+	0.278585i	−0.0358669	+	0.00999420i
$778$	−12.4954	−	7.57612i	−0.447981	−	0.271617i
$779$	−16.4464	−	50.6167i	−0.589252	−	1.81353i
$780$	−8.24854	+	1.56399i	−0.295345	+	0.0559999i
$781$	−1.61537	+	4.97160i	−0.0578025	+	0.177898i
$782$	3.69600	−	3.18704i	0.132169	−	0.113968i
$783$	−31.5466	+	33.4892i	−1.12738	+	1.19681i
$784$	−26.3795	+	9.12650i	−0.942125	+	0.325947i
$785$	−8.73674	+	34.0865i	−0.311828	+	1.21660i
$786$	9.55846	−	14.3547i	0.340939	−	0.512016i
$787$	6.03895	−	4.38755i	0.215265	−	0.156399i	−0.474927	−	0.880025i	$-0.657526\pi$
$787$	6.03895	−	4.38755i	0.215265	−	0.156399i	0.690193	+	0.723626i	$0.257526\pi$
$788$	18.8090	+	36.0672i	0.670045	+	1.28484i
$789$	16.6914	−	4.65101i	0.594230	−	0.165580i
$790$	−7.19702	−	48.7678i	−0.256059	−	1.73508i
$791$	−1.42075	+	1.03224i	−0.0505161	+	0.0367021i
$792$	6.93458	−	3.60279i	0.246410	−	0.128020i
$793$			4.07967i			0.144873i
$794$	−10.3313	−	24.6121i	−0.366645	−	0.873452i
$795$	−20.8263	−	6.29011i	−0.738634	−	0.223087i
$796$	−0.0166200	−	0.0988718i	−0.000589082	−	0.00350442i
$797$	−9.67827	−	29.7867i	−0.342822	−	1.05510i	−0.962739	−	0.270431i	$-0.912834\pi$
$797$	−9.67827	−	29.7867i	−0.342822	−	1.05510i	0.619917	−	0.784667i	$-0.287166\pi$
$798$	−1.67167	−	1.11312i	−0.0591765	−	0.0394042i
$799$			21.8870i			0.774306i
$800$	−2.41448	+	28.1810i	−0.0853649	+	0.996350i
$801$	7.82115	−	1.82589i	0.276347	−	0.0645145i
$802$	45.7771	−	3.82069i	1.61644	−	0.134913i
$803$	13.7093	−	4.45441i	0.483790	−	0.157193i
$804$	25.0884	+	13.8425i	0.884799	+	0.488187i
$805$	−0.300234	+	0.248587i	−0.0105819	+	0.00876152i
$806$	7.95802	−	3.34051i	0.280309	−	0.117664i
$807$	−23.2783	+	29.3387i	−0.819435	+	1.03277i
$808$	11.1817	−	2.85290i	0.393372	−	0.100365i
$809$	−8.53409	−	11.7462i	−0.300042	−	0.412973i	0.632201	−	0.774804i	$-0.282152\pi$
$809$	−8.53409	−	11.7462i	−0.300042	−	0.412973i	−0.932244	+	0.361831i	$0.882152\pi$
$810$	28.4529	+	0.657498i	0.999733	+	0.0231021i
$811$	−8.06450	+	11.0998i	−0.283183	+	0.389768i	−0.926785	−	0.375593i	$-0.877439\pi$
$811$	−8.06450	+	11.0998i	−0.283183	+	0.389768i	0.643602	+	0.765360i	$0.277439\pi$
$812$	−2.30720	+	1.20321i	−0.0809669	+	0.0422242i
$813$	0.670260	−	15.7963i	0.0235070	−	0.554000i
$814$	−5.29283	+	0.441756i	−0.185514	+	0.0154835i
$815$	26.8976	−	10.6625i	0.942182	−	0.373492i
$816$	−19.0157	−	6.67621i	−0.665683	−	0.233714i
$817$	24.9018	+	8.09108i	0.871203	+	0.283071i
$818$	8.06668	+	9.35490i	0.282045	+	0.327086i
$819$	−0.0404737	+	0.476071i	−0.00141426	+	0.0166353i
$820$	22.0752	+	36.4994i	0.770900	+	1.27461i
$821$	−15.0819	+	4.90042i	−0.526363	+	0.171026i	−0.560131	−	0.828404i	$-0.689249\pi$
$821$	−15.0819	+	4.90042i	−0.526363	+	0.171026i	0.0337680	+	0.999430i	$0.489249\pi$
$822$	6.70085	−	2.48422i	0.233719	−	0.0866470i
$823$	6.57043	+	4.77370i	0.229031	+	0.166401i	0.696382	−	0.717671i	$-0.254792\pi$
$823$	6.57043	+	4.77370i	0.229031	+	0.166401i	−0.467352	+	0.884072i	$0.654792\pi$
$824$	2.92640	−	1.85093i	0.101946	−	0.0644801i
$825$	7.94759	−	0.669924i	0.276700	−	0.0233238i
$826$	1.44687	+	1.67793i	0.0503431	+	0.0583828i
$827$	0.349128	−	0.480534i	0.0121404	−	0.0167098i	−0.802904	−	0.596109i	$-0.796713\pi$
$827$	0.349128	−	0.480534i	0.0121404	−	0.0167098i	0.815044	+	0.579399i	$0.196713\pi$
$828$	−6.56738	+	2.74486i	−0.228232	+	0.0953904i
$829$	−2.02773	−	6.24071i	−0.0704260	−	0.216749i	0.909649	−	0.415379i	$-0.136351\pi$
$829$	−2.02773	−	6.24071i	−0.0704260	−	0.216749i	−0.980075	+	0.198630i	$0.936351\pi$
$830$	20.9006	−	39.9706i	0.725470	−	1.38740i
$831$	−25.1886	−	37.9545i	−0.873781	−	1.31663i
$832$	−7.83437	−	3.71566i	−0.271608	−	0.128817i
$833$	6.27295	−	19.3061i	0.217345	−	0.668918i
$834$	−35.4686	+	28.0530i	−1.22818	+	0.971396i
$835$	30.7855	+	19.5190i	1.06538	+	0.675485i
$836$	−7.33586	−	7.19836i	−0.253716	−	0.248960i
$837$	−28.7481	+	5.43769i	−0.993678	+	0.187954i
$838$	−1.17685	−	0.276656i	−0.0406537	−	0.00955694i
$839$	40.9785	+	29.7726i	1.41473	+	1.02786i	0.992613	+	0.121326i	$0.0387146\pi$
$839$	40.9785	+	29.7726i	1.41473	+	1.02786i	0.422122	+	0.906539i	$0.361285\pi$
$840$	1.50780	+	0.563522i	0.0520239	+	0.0194434i
$841$	39.9629	−	29.0347i	1.37803	−	1.00120i
$842$	50.5270	−	21.2095i	1.74127	−	0.730928i
$843$	23.1913	−	29.2290i	0.798750	−	1.00670i
$844$	13.0502	−	26.2228i	0.449206	−	0.902625i
$845$	−14.1590	+	22.3317i	−0.487086	+	0.768234i
$846$	9.91123	−	30.3443i	0.340755	−	1.04326i
$847$	0.460967	+	1.41871i	0.0158390	+	0.0487475i
$848$	−13.5485	−	17.9247i	−0.465257	−	0.615535i
$849$	22.3858	+	17.7616i	0.768278	+	0.609578i
$850$	−15.2905	−	13.7584i	−0.524458	−	0.471911i
$851$	4.83771			0.165835
$852$	−19.5112	+	2.43452i	−0.668442	+	0.0834051i
$853$	15.7001	−	5.10129i	0.537563	−	0.174665i	−0.0276383	−	0.999618i	$-0.508799\pi$
$853$	15.7001	−	5.10129i	0.537563	−	0.174665i	0.565201	+	0.824953i	$0.308799\pi$
$854$	0.405533	−	0.668852i	0.0138771	−	0.0228876i
$855$	−10.7966	−	35.8400i	−0.369234	−	1.22570i
$856$	32.7192	−	8.34795i	1.11832	−	0.285327i
$857$	15.7077			0.536563			0.268282	−	0.963341i	$-0.413544\pi$
$857$	15.7077			0.536563			0.268282	+	0.963341i	$0.413544\pi$
$858$	−0.659936	+	2.35431i	−0.0225298	+	0.0803750i
$859$	−22.3494	−	30.7613i	−0.762552	−	1.04956i	−0.996998	−	0.0774331i	$-0.975328\pi$
$859$	−22.3494	−	30.7613i	−0.762552	−	1.04956i	0.234446	−	0.972129i	$-0.424672\pi$
$860$	−20.9107	−	1.76842i	−0.713048	−	0.0603026i
$861$	2.33846	−	0.651604i	0.0796945	−	0.0222066i
$862$	46.2460	+	10.8716i	1.57515	+	0.370288i
$863$	−14.8903	−	20.4948i	−0.506872	−	0.697650i	0.476516	−	0.879166i	$-0.341900\pi$
$863$	−14.8903	−	20.4948i	−0.506872	−	0.697650i	−0.983388	+	0.181516i	$0.941900\pi$
$864$	23.3403	+	17.8670i	0.794054	+	0.607847i
$865$	−9.49385	−	11.4663i	−0.322801	−	0.389867i
$866$	4.71462	−	20.0552i	0.160209	−	0.681505i
$867$	−12.3219	+	8.17745i	−0.418473	+	0.277721i
$868$	−1.63676	−	0.243387i	−0.0555551	−	0.00826111i
$869$	−13.6540	−	4.43646i	−0.463180	−	0.150496i
$870$	−47.4306	−	10.1117i	−1.60805	−	0.342819i
$871$	−8.52647	+	2.77042i	−0.288909	+	0.0938721i
$872$	20.5889	+	17.0853i	0.697227	+	0.578581i
$873$	−14.6363	−	6.17038i	−0.495363	−	0.208836i
$874$	6.11333	+	7.08961i	0.206787	+	0.239810i
$875$	1.19900	+	1.12311i	0.0405335	+	0.0379679i
$876$	37.0554	+	39.5811i	1.25198	+	1.33732i
$877$	16.3612	−	22.5193i	0.552479	−	0.760422i	−0.437867	−	0.899040i	$-0.644266\pi$
$877$	16.3612	−	22.5193i	0.552479	−	0.760422i	0.990346	+	0.138618i	$0.0442660\pi$
$878$	26.2925	+	15.9415i	0.887329	+	0.537999i
$879$	4.23355	−	11.3657i	0.142794	−	0.383354i
$880$	7.03907	+	4.27847i	0.237287	+	0.144227i
$881$	−32.0168	−	10.4029i	−1.07867	−	0.350483i	−0.284814	−	0.958583i	$-0.591932\pi$
$881$	−32.0168	−	10.4029i	−1.07867	−	0.350483i	−0.793860	+	0.608100i	$0.791932\pi$
$882$	−17.4394	+	23.9256i	−0.587215	+	0.805617i
$883$	7.21451	−	22.2040i	0.242787	−	0.747223i	−0.753205	−	0.657786i	$-0.771493\pi$
$883$	7.21451	−	22.2040i	0.242787	−	0.747223i	0.995992	−	0.0894371i	$-0.0285068\pi$
$884$	5.59110	−	2.91576i	0.188049	−	0.0980675i
$885$	0.860652	+	41.2843i	0.0289305	+	1.38776i
$886$	11.3595	−	0.948095i	0.381629	−	0.0318519i
$887$	−33.4163	−	45.9936i	−1.12201	−	1.54432i	−0.802420	−	0.596759i	$-0.796455\pi$
$887$	−33.4163	−	45.9936i	−1.12201	−	1.54432i	−0.319590	−	0.947556i	$-0.603545\pi$
$888$	−9.95357	−	17.3214i	−0.334020	−	0.581269i
$889$	−1.27864	−	0.928990i	−0.0428844	−	0.0311573i
$890$	5.92274	+	6.04917i	0.198531	+	0.202769i
$891$	3.85532	−	7.33748i	0.129158	−	0.245815i
$892$	−52.6363	−	26.1953i	−1.76239	−	0.877083i
$893$	−41.9833			−1.40492
$894$	−0.192715	+	0.687508i	−0.00644534	+	0.0229937i
$895$	1.64269	+	25.9368i	0.0549092	+	0.866972i
$896$	0.915076	+	1.38794i	0.0305706	+	0.0463678i
$897$	0.777375	−	2.08699i	0.0259558	−	0.0696825i
$898$	39.4413	−	3.29189i	1.31617	−	0.109852i
$899$	49.8550			1.66276
$900$	14.9685	+	25.9989i	0.498950	+	0.866631i
$901$	16.3401			0.544369
$902$	12.3798	−	1.03325i	0.412202	−	0.0344036i
$903$	−0.416871	+	1.11916i	−0.0138726	+	0.0372432i
$904$	−26.0133	−	21.5867i	−0.865190	−	0.717962i
$905$	−9.85551	+	15.5442i	−0.327608	+	0.516706i
$906$	−5.27084	+	18.8037i	−0.175112	+	0.624710i
$907$	3.14640			0.104474			0.0522372	−	0.998635i	$-0.483365\pi$
$907$	3.14640			0.104474			0.0522372	+	0.998635i	$0.483365\pi$
$908$	8.56252	−	17.2054i	0.284157	−	0.570980i
$909$	8.00743	−	9.25728i	0.265590	−	0.307045i
$910$	−0.451130	+	0.223894i	−0.0149548	+	0.00742200i
$911$	30.4421	+	22.1175i	1.00859	+	0.732784i	0.963913	−	0.266218i	$-0.0857740\pi$
$911$	30.4421	+	22.1175i	1.00859	+	0.732784i	0.0446775	+	0.999001i	$0.485774\pi$
$912$	12.8062	−	36.4757i	0.424056	−	1.20783i
$913$	−7.72125	−	10.6274i	−0.255536	−	0.351715i
$914$	17.0698	−	1.42469i	0.564618	−	0.0471247i
$915$	13.7676	−	4.79285i	0.455144	−	0.158447i
$916$	−7.71562	−	14.7950i	−0.254931	−	0.488842i
$917$	0.319696	−	0.983923i	0.0105573	−	0.0324920i
$918$	−20.6005	+	5.70604i	−0.679918	+	0.188328i
$919$	28.5095	+	9.26329i	0.940441	+	0.305568i	0.738825	−	0.673897i	$-0.235381\pi$
$919$	28.5095	+	9.26329i	0.940441	+	0.305568i	0.201615	+	0.979465i	$0.435381\pi$
$920$	−6.06515	−	4.41679i	−0.199962	−	0.145617i
$921$	−4.00765	+	10.7592i	−0.132057	+	0.354527i
$922$	4.68369	+	2.83978i	0.154249	+	0.0935233i
$923$	3.61608	−	4.97710i	0.119025	−	0.163823i
$924$	0.342222	−	0.320384i	0.0112583	−	0.0105399i
$925$	−2.57241	−	20.2267i	−0.0845802	−	0.665049i
$926$	3.94246	+	4.57205i	0.129557	+	0.150247i
$927$	1.42672	−	3.38422i	0.0468597	−	0.111152i
$928$	−33.4204	−	37.3065i	−1.09708	−	1.22465i
$929$	−26.9945	+	8.77105i	−0.885661	+	0.287769i	−0.716306	−	0.697786i	$-0.754168\pi$
$929$	−26.9945	+	8.77105i	−0.885661	+	0.287769i	−0.169355	+	0.985555i	$0.554168\pi$
$930$	−20.6224	−	22.9314i	−0.676235	−	0.751951i
$931$	37.0328	+	12.0327i	1.21370	+	0.394355i
$932$	4.64175	−	31.2153i	0.152046	−	1.02249i
$933$	34.7388	−	23.0545i	1.13730	−	0.754770i
$934$	2.91368	−	12.3943i	0.0953386	−	0.405555i
$935$	−5.56887	+	2.20756i	−0.182121	+	0.0721951i
$936$	−9.07191	+	1.51058i	−0.296525	+	0.0493748i
$937$	14.5315	+	20.0010i	0.474725	+	0.653403i	0.977480	−	0.211026i	$-0.0676804\pi$
$937$	14.5315	+	20.0010i	0.474725	+	0.653403i	−0.502756	+	0.864429i	$0.667680\pi$
$938$	1.67328	+	0.393358i	0.0546347	+	0.0128436i
$939$	−46.0532	+	12.8326i	−1.50289	+	0.418775i
$940$	32.7642	−	7.66426i	1.06865	−	0.249981i
$941$	−21.7073	−	29.8776i	−0.707639	−	0.973981i	−0.999845	−	0.0176258i	$-0.994389\pi$
$941$	−21.7073	−	29.8776i	−0.707639	−	0.973981i	0.292206	−	0.956355i	$-0.405611\pi$
$942$	−10.4040	+	37.1163i	−0.338982	+	1.20932i
$943$	−11.3153			−0.368476
$944$	−24.4103	+	34.9707i	−0.794489	+	1.13820i
$945$	1.65414	−	0.422709i	0.0538093	−	0.0137507i
$946$	−3.16864	+	5.22608i	−0.103021	+	0.169915i
$947$	42.9361	−	13.9508i	1.39524	−	0.453340i	0.487588	−	0.873074i	$-0.337877\pi$
$947$	42.9361	−	13.9508i	1.39524	−	0.453340i	0.907647	+	0.419734i	$0.137877\pi$
$948$	−6.68615	−	53.5855i	−0.217156	−	1.74038i
$949$	−16.9643			−0.550686
$950$	26.3913	−	29.3299i	0.856245	−	0.951589i
$951$	−26.9846	−	21.4105i	−0.875034	−	0.694282i
$952$	−1.20648	−	0.0777439i	−0.0391024	−	0.00251969i
$953$	1.49850	+	4.61190i	0.0485411	+	0.149394i	0.972389	−	0.233365i	$-0.0749738\pi$
$953$	1.49850	+	4.61190i	0.0485411	+	0.149394i	−0.923848	+	0.382759i	$0.874974\pi$
$954$	−22.6541	−	7.39942i	−0.733455	−	0.239565i
$955$	2.93317	−	1.16274i	0.0949153	−	0.0376255i
$956$	32.4503	+	16.1494i	1.04952	+	0.522309i
$957$	−8.77872	+	11.0642i	−0.283776	+	0.357655i
$958$	−39.7433	+	16.6829i	−1.28405	+	0.539000i
$959$	0.346833	−	0.251989i	0.0111998	−	0.00813714i
$960$	−3.33529	+	30.8038i	−0.107646	+	0.994189i
$961$	0.569884	+	0.414045i	0.0183834	+	0.0133563i
$962$	6.08477	+	1.43042i	0.196181	+	0.0461185i
$963$	23.4308	−	27.0880i	0.755046	−	0.872899i
$964$	39.4644	−	40.2182i	1.27106	−	1.29534i
$965$	3.89431	−	15.1937i	0.125362	−	0.489103i
$966$	−0.334903	+	0.264883i	−0.0107753	+	0.00852246i
$967$	−5.71454	+	17.5876i	−0.183767	+	0.565578i	−0.999925	−	0.0122516i	$-0.996100\pi$
$967$	−5.71454	+	17.5876i	−0.183767	+	0.565578i	0.816158	+	0.577829i	$0.196100\pi$
$968$	−24.2671	+	15.3488i	−0.779974	+	0.493328i
$969$	15.5457	+	23.4245i	0.499400	+	0.752503i
$970$	−2.44441	−	16.5636i	−0.0784853	−	0.531825i
$971$	8.55481	+	26.3290i	0.274537	+	0.844938i	0.989342	+	0.145613i	$0.0465156\pi$
$971$	8.55481	+	26.3290i	0.274537	+	0.844938i	−0.714805	+	0.699324i	$0.753484\pi$
$972$	31.1447	+	1.41775i	0.998965	+	0.0454745i
$973$	−1.59453	+	2.19468i	−0.0511183	+	0.0703583i
$974$	−28.9011	−	33.5165i	−0.926049	−	1.07394i
$975$	−9.13914	−	2.14050i	−0.292687	−	0.0685508i
$976$	14.4047	+	4.38086i	0.461083	+	0.140228i
$977$	−22.1731	−	16.1097i	−0.709380	−	0.515395i	0.173593	−	0.984817i	$-0.444462\pi$
$977$	−22.1731	−	16.1097i	−0.709380	−	0.515395i	−0.882974	+	0.469422i	$0.844462\pi$
$978$	29.7189	−	11.0177i	0.950306	−	0.352308i
$979$	2.34489	−	0.761899i	0.0749429	−	0.0243504i
$980$	−31.0974	−	2.62991i	−0.993369	−	0.0840094i
$981$	28.2755	+	2.40387i	0.902768	+	0.0767497i
$982$	−32.2623	−	37.4145i	−1.02953	−	1.19395i
$983$	−20.1630	−	6.55137i	−0.643101	−	0.208956i	−0.0307313	−	0.999528i	$-0.509784\pi$
$983$	−20.1630	−	6.55137i	−0.643101	−	0.208956i	−0.612370	+	0.790571i	$0.709784\pi$
$984$	23.2812	+	40.5144i	0.742176	+	1.29155i
$985$	2.87459	+	45.3874i	0.0915919	+	1.44616i
$986$	36.2986	−	3.02959i	1.15598	−	0.0964817i
$987$	0.0811810	−	1.91323i	0.00258402	−	0.0608987i
$988$	5.59296	+	10.7248i	0.177936	+	0.341200i
$989$	3.27206	−	4.50360i	0.104045	−	0.143206i
$990$	8.72040	−	0.538801i	0.277152	−	0.0171242i
$991$	−14.7116	−	20.2488i	−0.467330	−	0.643224i	0.508679	−	0.860956i	$-0.330134\pi$
$991$	−14.7116	−	20.2488i	−0.467330	−	0.643224i	−0.976009	+	0.217732i	$0.930134\pi$
$992$	−3.24929	−	31.6857i	−0.103165	−	1.00602i
$993$	15.6601	−	19.7371i	0.496957	−	0.626337i
$994$	−1.08759	+	0.456533i	−0.0344962	+	0.0144803i
$995$	0.0278310	−	0.108583i	0.000882301	−	0.00344231i
$996$	23.8698	−	43.2621i	0.756344	−	1.37081i
$997$	−33.8647	+	11.0033i	−1.07250	+	0.348478i	−0.791463	−	0.611218i	$-0.790680\pi$
$997$	−33.8647	+	11.0033i	−1.07250	+	0.348478i	−0.281042	+	0.959695i	$0.590680\pi$
$998$	−18.5367	+	1.54713i	−0.586770	+	0.0489735i
$999$	−19.1588	−	9.05183i	−0.606156	−	0.286387i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	300.2.r.a.59.30	yes	224
3.2	odd	2	inner	300.2.r.a.59.27	yes	224
4.3	odd	2	inner	300.2.r.a.59.52	yes	224
12.11	even	2	inner	300.2.r.a.59.5	✓	224
25.14	even	10	inner	300.2.r.a.239.5	yes	224
75.14	odd	10	inner	300.2.r.a.239.52	yes	224
100.39	odd	10	inner	300.2.r.a.239.27	yes	224
300.239	even	10	inner	300.2.r.a.239.30	yes	224

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
300.2.r.a.59.5	✓	224	12.11	even	2	inner
300.2.r.a.59.27	yes	224	3.2	odd	2	inner
300.2.r.a.59.30	yes	224	1.1	even	1	trivial
300.2.r.a.59.52	yes	224	4.3	odd	2	inner
300.2.r.a.239.5	yes	224	25.14	even	10	inner
300.2.r.a.239.27	yes	224	100.39	odd	10	inner
300.2.r.a.239.30	yes	224	300.239	even	10	inner
300.2.r.a.239.52	yes	224	75.14	odd	10	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:	\( N \)	\(=\)	\( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	300.r (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.117625 + 1.40931i) q^{2} +(-0.604586 + 1.62311i) q^{3} +(-1.97233 + 0.331542i) q^{4} +(-2.16605 - 0.555182i) q^{5} +(-2.35858 - 0.661132i) q^{6} -0.146941 q^{7} +(-0.699243 - 2.74063i) q^{8} +(-2.26895 - 1.96261i) q^{9} +O(q^{10})\)	\(q+(0.117625 + 1.40931i) q^{2} +(-0.604586 + 1.62311i) q^{3} +(-1.97233 + 0.331542i) q^{4} +(-2.16605 - 0.555182i) q^{5} +(-2.35858 - 0.661132i) q^{6} -0.146941 q^{7} +(-0.699243 - 2.74063i) q^{8} +(-2.26895 - 1.96261i) q^{9} +(0.527643 - 3.11795i) q^{10} +(-0.745075 - 0.541329i) q^{11} +(0.654313 - 3.40175i) q^{12} +(0.637074 + 0.876857i) q^{13} +(-0.0172840 - 0.207086i) q^{14} +(2.21068 - 3.18008i) q^{15} +(3.78016 - 1.30782i) q^{16} +(-0.898908 + 2.76655i) q^{17} +(2.49905 - 3.42852i) q^{18} +(-5.30677 - 1.72427i) q^{19} +(4.45623 + 0.376864i) q^{20} +(0.0888385 - 0.238501i) q^{21} +(0.675262 - 1.11372i) q^{22} +(-0.697301 + 0.959752i) q^{23} +(4.87109 + 0.522000i) q^{24} +(4.38355 + 2.40510i) q^{25} +(-1.16083 + 1.00098i) q^{26} +(4.55731 - 2.49618i) q^{27} +(0.289816 - 0.0487172i) q^{28} +(-8.42084 + 2.73610i) q^{29} +(4.74176 + 2.74149i) q^{30} +(-5.35508 - 1.73997i) q^{31} +(2.28777 + 5.17360i) q^{32} +(1.32910 - 0.882057i) q^{33} +(-4.00468 - 0.941426i) q^{34} +(0.318282 + 0.0815791i) q^{35} +(5.12581 + 3.11867i) q^{36} +(-2.39694 - 3.29910i) q^{37} +(1.80583 - 7.68171i) q^{38} +(-1.80840 + 0.503904i) q^{39} +(-0.00695365 + 6.32455i) q^{40} +(5.60638 + 7.71652i) q^{41} +(0.346573 + 0.0971474i) q^{42} -4.69246 q^{43} +(1.64901 + 0.820654i) q^{44} +(3.82506 + 5.51080i) q^{45} +(-1.43461 - 0.869824i) q^{46} +(7.15582 - 2.32507i) q^{47} +(-0.162697 + 6.92629i) q^{48} -6.97841 q^{49} +(-2.87393 + 6.46069i) q^{50} +(-3.94695 - 3.13164i) q^{51} +(-1.54723 - 1.51823i) q^{52} +(-1.73582 - 5.34231i) q^{53} +(4.05396 + 6.12906i) q^{54} +(1.31333 + 1.58620i) q^{55} +(0.102748 + 0.402711i) q^{56} +(6.00707 - 7.57098i) q^{57} +(-4.84652 - 11.5458i) q^{58} +(-8.62564 + 6.26690i) q^{59} +(-3.30586 + 7.00509i) q^{60} +(3.04517 + 2.21244i) q^{61} +(1.82227 - 7.75166i) q^{62} +(0.333402 + 0.288389i) q^{63} +(-7.02212 + 3.83273i) q^{64} +(-0.893119 - 2.25301i) q^{65} +(1.39943 + 1.76936i) q^{66} +(-2.55608 + 7.86680i) q^{67} +(0.855712 - 5.75458i) q^{68} +(-1.13620 - 1.71205i) q^{69} +(-0.0775324 + 0.458155i) q^{70} +(-1.75400 - 5.39826i) q^{71} +(-3.79225 + 7.59071i) q^{72} +(-9.19992 + 12.6626i) q^{73} +(4.36753 - 3.76610i) q^{74} +(-6.55397 + 5.66087i) q^{75} +(11.0384 + 1.64142i) q^{76} +(0.109482 + 0.0795435i) q^{77} +(-0.922873 - 2.48933i) q^{78} +(14.8258 - 4.81719i) q^{79} +(-8.91409 + 0.734128i) q^{80} +(1.29629 + 8.90616i) q^{81} +(-10.2155 + 8.80880i) q^{82} +(13.5654 + 4.40767i) q^{83} +(-0.0961455 + 0.499856i) q^{84} +(3.48302 - 5.49344i) q^{85} +(-0.551953 - 6.61315i) q^{86} +(0.650140 - 15.3221i) q^{87} +(-0.962594 + 2.42050i) q^{88} +(-1.57359 + 2.16586i) q^{89} +(-7.31652 + 6.03892i) q^{90} +(-0.0936124 - 0.128846i) q^{91} +(1.05711 - 2.12413i) q^{92} +(6.06177 - 7.63991i) q^{93} +(4.11846 + 9.81131i) q^{94} +(10.5374 + 6.68108i) q^{95} +(-9.78045 + 0.585417i) q^{96} +(5.03546 - 1.63612i) q^{97} +(-0.820838 - 9.83476i) q^{98} +(0.628121 + 2.69054i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 224 q - 6 q^{4} - 7 q^{6} - 6 q^{9}+O(q^{10}) \) 224 * q - 6 * q^4 - 7 * q^6 - 6 * q^9	\( 224 q - 6 q^{4} - 7 q^{6} - 6 q^{9} - 5 q^{12} - 20 q^{13} + 6 q^{16} - 24 q^{21} - 10 q^{22} - 28 q^{24} - 20 q^{25} - 50 q^{28} - 25 q^{30} - 10 q^{33} - 14 q^{34} - 25 q^{36} - 60 q^{37} - 20 q^{40} - 85 q^{42} - 30 q^{45} + 6 q^{46} - 70 q^{48} + 88 q^{49} + 40 q^{52} - 46 q^{54} + 50 q^{58} + 10 q^{60} - 28 q^{61} + 18 q^{64} + 64 q^{66} - 42 q^{69} - 40 q^{70} - 5 q^{72} - 20 q^{73} - 80 q^{76} - 85 q^{78} + 18 q^{81} - 48 q^{84} - 20 q^{85} + 50 q^{88} - 60 q^{90} + 60 q^{94} + 44 q^{96} - 120 q^{97}+O(q^{100}) \) 224 * q - 6 * q^4 - 7 * q^6 - 6 * q^9 - 5 * q^12 - 20 * q^13 + 6 * q^16 - 24 * q^21 - 10 * q^22 - 28 * q^24 - 20 * q^25 - 50 * q^28 - 25 * q^30 - 10 * q^33 - 14 * q^34 - 25 * q^36 - 60 * q^37 - 20 * q^40 - 85 * q^42 - 30 * q^45 + 6 * q^46 - 70 * q^48 + 88 * q^49 + 40 * q^52 - 46 * q^54 + 50 * q^58 + 10 * q^60 - 28 * q^61 + 18 * q^64 + 64 * q^66 - 42 * q^69 - 40 * q^70 - 5 * q^72 - 20 * q^73 - 80 * q^76 - 85 * q^78 + 18 * q^81 - 48 * q^84 - 20 * q^85 + 50 * q^88 - 60 * q^90 + 60 * q^94 + 44 * q^96 - 120 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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