LMFDB - Embedded newform 260.2.bj.c.3.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [260,2,Mod(3,260)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(260, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 9, 4]))

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

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

chi := DirichletCharacter("260.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 260 = 2^{2} \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	260.bj (of order $12$, 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:	$2.07611045255$
Analytic rank:	$0$
Dimension:	$144$
Relative dimension:	$36$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			3.17
Character	$\chi$	$=$	260.3
Dual form			260.2.bj.c.87.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.358012 + 1.36815i) q^{2} +(-2.61303 - 0.700158i) q^{3} +(-1.74365 - 0.979628i) q^{4} +(-0.297936 + 2.21613i) q^{5} +(1.89342 - 3.32434i) q^{6} +(-3.10919 + 0.833104i) q^{7} +(1.96452 - 2.03486i) q^{8} +(3.73961 + 2.15907i) q^{9} +O(q^{10})$	\(q+(-0.358012 + 1.36815i) q^{2} +(-2.61303 - 0.700158i) q^{3} +(-1.74365 - 0.979628i) q^{4} +(-0.297936 + 2.21613i) q^{5} +(1.89342 - 3.32434i) q^{6} +(-3.10919 + 0.833104i) q^{7} +(1.96452 - 2.03486i) q^{8} +(3.73961 + 2.15907i) q^{9} +(-2.92533 - 1.20102i) q^{10} +(3.91586 - 2.26082i) q^{11} +(3.87032 + 3.78063i) q^{12} +(0.723169 - 3.53228i) q^{13} +(-0.0266815 - 4.55209i) q^{14} +(2.33016 - 5.58221i) q^{15} +(2.08066 + 3.41626i) q^{16} +(-1.51673 - 5.66051i) q^{17} +(-4.29275 + 4.34337i) q^{18} +(0.303952 - 0.526460i) q^{19} +(2.69048 - 3.57230i) q^{20} +8.70769 q^{21} +(1.69121 + 6.16687i) q^{22} +(2.51403 + 0.673633i) q^{23} +(-6.55808 + 3.94166i) q^{24} +(-4.82247 - 1.32053i) q^{25} +(4.57378 + 2.25400i) q^{26} +(-2.52141 - 2.52141i) q^{27} +(6.23748 + 1.59320i) q^{28} +(-3.65978 + 2.11297i) q^{29} +(6.80305 + 5.18650i) q^{30} -2.89065i q^{31} +(-5.41885 + 1.62358i) q^{32} +(-11.8152 + 3.16586i) q^{33} +(8.28742 - 0.0485757i) q^{34} +(-0.919927 - 7.13857i) q^{35} +(-4.40551 - 7.42809i) q^{36} +(5.46886 + 1.46538i) q^{37} +(0.611457 + 0.604331i) q^{38} +(-4.36282 + 8.72362i) q^{39} +(3.92420 + 4.95990i) q^{40} +(-4.64751 - 8.04972i) q^{41} +(-3.11746 + 11.9134i) q^{42} +(0.586607 + 2.18925i) q^{43} +(-9.04266 + 0.106009i) q^{44} +(-5.89894 + 7.64420i) q^{45} +(-1.82168 + 3.19840i) q^{46} +(-5.02989 - 5.02989i) q^{47} +(-3.04489 - 10.3836i) q^{48} +(2.91080 - 1.68055i) q^{49} +(3.53319 - 6.12508i) q^{50} +15.8530i q^{51} +(-4.72128 + 5.45064i) q^{52} +(2.42893 + 2.42893i) q^{53} +(4.35236 - 2.54696i) q^{54} +(3.84360 + 9.35163i) q^{55} +(-4.41283 + 7.96340i) q^{56} +(-1.16284 + 1.16284i) q^{57} +(-1.58061 - 5.76358i) q^{58} +(6.12094 - 10.6018i) q^{59} +(-9.53147 + 7.45075i) q^{60} +(2.62901 - 4.55359i) q^{61} +(3.95484 + 1.03489i) q^{62} +(-13.4259 - 3.59745i) q^{63} +(-0.281285 - 7.99505i) q^{64} +(7.61254 + 2.65503i) q^{65} +(-0.101392 - 17.2983i) q^{66} +(2.44616 - 9.12920i) q^{67} +(-2.90054 + 11.3558i) q^{68} +(-6.09758 - 3.52044i) q^{69} +(10.0960 + 1.29710i) q^{70} +(-9.65894 - 5.57659i) q^{71} +(11.7399 - 3.36804i) q^{72} +(-3.36881 - 3.36881i) q^{73} +(-3.96277 + 6.95758i) q^{74} +(11.6767 + 6.82708i) q^{75} +(-1.04572 + 0.620205i) q^{76} +(-10.2916 + 10.2916i) q^{77} +(-10.3733 - 9.09214i) q^{78} -3.32066 q^{79} +(-8.19079 + 3.59318i) q^{80} +(-1.65407 - 2.86493i) q^{81} +(12.6771 - 3.47657i) q^{82} +(-0.456036 + 0.456036i) q^{83} +(-15.1832 - 8.53030i) q^{84} +(12.9963 - 1.67480i) q^{85} +(-3.20522 + 0.0187870i) q^{86} +(11.0425 - 2.95883i) q^{87} +(3.09235 - 12.4096i) q^{88} +(7.00973 - 4.04707i) q^{89} +(-8.34650 - 10.8073i) q^{90} +(0.694291 + 11.5850i) q^{91} +(-3.72369 - 3.63740i) q^{92} +(-2.02391 + 7.55335i) q^{93} +(8.68239 - 5.08086i) q^{94} +(1.07615 + 0.830449i) q^{95} +(15.2964 - 0.448413i) q^{96} +(2.24417 + 8.37534i) q^{97} +(1.25714 + 4.58406i) q^{98} +19.5250 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 144 q - 6 q^{2} - 24 q^{5} - 4 q^{6} - 24 q^{8}+O(q^{10}) $ 144 * q - 6 * q^2 - 24 * q^5 - 4 * q^6 - 24 * q^8	$ 144 q - 6 q^{2} - 24 q^{5} - 4 q^{6} - 24 q^{8} - 16 q^{10} + 20 q^{12} - 12 q^{13} - 28 q^{16} - 4 q^{18} + 30 q^{20} - 32 q^{21} - 28 q^{22} - 24 q^{25} - 12 q^{26} + 14 q^{28} - 4 q^{30} + 4 q^{32} - 28 q^{33} + 4 q^{36} + 20 q^{40} + 24 q^{41} - 56 q^{42} - 4 q^{46} + 12 q^{48} + 20 q^{50} - 2 q^{52} + 24 q^{53} - 20 q^{56} - 24 q^{57} - 42 q^{58} + 88 q^{60} - 32 q^{61} - 128 q^{66} - 32 q^{68} + 108 q^{70} + 2 q^{72} - 8 q^{73} + 60 q^{76} - 72 q^{77} - 120 q^{78} - 64 q^{80} - 32 q^{81} - 42 q^{82} - 48 q^{85} - 24 q^{86} - 42 q^{88} - 56 q^{90} - 84 q^{92} + 8 q^{93} + 160 q^{96} + 68 q^{97} + 98 q^{98}+O(q^{100}) $ 144 * q - 6 * q^2 - 24 * q^5 - 4 * q^6 - 24 * q^8 - 16 * q^10 + 20 * q^12 - 12 * q^13 - 28 * q^16 - 4 * q^18 + 30 * q^20 - 32 * q^21 - 28 * q^22 - 24 * q^25 - 12 * q^26 + 14 * q^28 - 4 * q^30 + 4 * q^32 - 28 * q^33 + 4 * q^36 + 20 * q^40 + 24 * q^41 - 56 * q^42 - 4 * q^46 + 12 * q^48 + 20 * q^50 - 2 * q^52 + 24 * q^53 - 20 * q^56 - 24 * q^57 - 42 * q^58 + 88 * q^60 - 32 * q^61 - 128 * q^66 - 32 * q^68 + 108 * q^70 + 2 * q^72 - 8 * q^73 + 60 * q^76 - 72 * q^77 - 120 * q^78 - 64 * q^80 - 32 * q^81 - 42 * q^82 - 48 * q^85 - 24 * q^86 - 42 * q^88 - 56 * q^90 - 84 * q^92 + 8 * q^93 + 160 * q^96 + 68 * q^97 + 98 * q^98

Display 100 coefficients 10 coefficients

Character values

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

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

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 $

$2$	−0.358012	+	1.36815i	−0.253153	+	0.967426i
$2$	−0.358012	+	1.36815i	−0.253153	+	0.967426i
$3$	−2.61303	−	0.700158i	−1.50863	−	0.404237i	−0.592651	−	0.805459i	$-0.701919\pi$
$3$	−2.61303	−	0.700158i	−1.50863	−	0.404237i	−0.915981	+	0.401223i	$0.868585\pi$
$4$	−1.74365	−	0.979628i	−0.871827	−	0.489814i
$5$	−0.297936	+	2.21613i	−0.133241	+	0.991084i
$5$	−0.297936	+	2.21613i	−0.133241	+	0.991084i
$6$	1.89342	−	3.32434i	0.772984	−	1.35716i
$7$	−3.10919	+	0.833104i	−1.17516	+	0.314884i	−0.793006	−	0.609214i	$-0.791485\pi$
$7$	−3.10919	+	0.833104i	−1.17516	+	0.314884i	−0.382156	+	0.924098i	$0.624818\pi$
$8$	1.96452	−	2.03486i	0.694564	−	0.719431i
$9$	3.73961	+	2.15907i	1.24654	+	0.719688i
$10$	−2.92533	−	1.20102i	−0.925070	−	0.379797i
$11$	3.91586	−	2.26082i	1.18067	−	0.681663i	0.224504	−	0.974473i	$-0.427924\pi$
$11$	3.91586	−	2.26082i	1.18067	−	0.681663i	0.956171	+	0.292810i	$0.0945904\pi$
$12$	3.87032	+	3.78063i	1.11727	+	1.09137i
$13$	0.723169	−	3.53228i	0.200571	−	0.979679i
$13$	0.723169	−	3.53228i	0.200571	−	0.979679i
$14$	−0.0266815	−	4.55209i	−0.00713094	−	1.21660i
$15$	2.33016	−	5.58221i	0.601644	−	1.44132i
$16$	2.08066	+	3.41626i	0.520165	+	0.854066i
$17$	−1.51673	−	5.66051i	−0.367861	−	1.37288i	−0.863501	−	0.504347i	$-0.831733\pi$
$17$	−1.51673	−	5.66051i	−0.367861	−	1.37288i	0.495640	−	0.868528i	$-0.334934\pi$
$18$	−4.29275	+	4.34337i	−1.01181	+	1.02374i
$19$	0.303952	−	0.526460i	0.0697314	−	0.120778i	−0.829052	−	0.559172i	$-0.811119\pi$
$19$	0.303952	−	0.526460i	0.0697314	−	0.120778i	0.898783	+	0.438394i	$0.144452\pi$
$20$	2.69048	−	3.57230i	0.601610	−	0.798790i
$21$	8.70769			1.90017
$22$	1.69121	+	6.16687i	0.360567	+	1.31478i
$23$	2.51403	+	0.673633i	0.524212	+	0.140462i	0.511214	−	0.859453i	$-0.329196\pi$
$23$	2.51403	+	0.673633i	0.524212	+	0.140462i	0.0129977	+	0.999916i	$0.495863\pi$
$24$	−6.55808	+	3.94166i	−1.33866	+	0.804587i
$25$	−4.82247	−	1.32053i	−0.964494	−	0.264106i
$26$	4.57378	+	2.25400i	0.896992	+	0.442047i
$27$	−2.52141	−	2.52141i	−0.485246	−	0.485246i
$28$	6.23748	+	1.59320i	1.17877	+	0.301086i
$29$	−3.65978	+	2.11297i	−0.679603	+	0.392369i	−0.799706	−	0.600392i	$-0.795011\pi$
$29$	−3.65978	+	2.11297i	−0.679603	+	0.392369i	0.120102	+	0.992762i	$0.461678\pi$
$30$	6.80305	+	5.18650i	1.24206	+	0.946921i
$31$		−	2.89065i		−	0.519176i	−0.965719	−	0.259588i	$-0.916413\pi$
$31$		−	2.89065i		−	0.519176i	0.965719	−	0.259588i	$-0.0835868\pi$
$32$	−5.41885	+	1.62358i	−0.957927	+	0.287012i
$33$	−11.8152	+	3.16586i	−2.05676	+	0.551106i
$34$	8.28742	−	0.0485757i	1.42128	−	0.00833067i
$35$	−0.919927	−	7.13857i	−0.155496	−	1.20664i
$36$	−4.40551	−	7.42809i	−0.734251	−	1.23801i
$37$	5.46886	+	1.46538i	0.899075	+	0.240906i	0.678619	−	0.734491i	$-0.262579\pi$
$37$	5.46886	+	1.46538i	0.899075	+	0.240906i	0.220456	+	0.975397i	$0.429246\pi$
$38$	0.611457	+	0.604331i	0.0991914	+	0.0980354i
$39$	−4.36282	+	8.72362i	−0.698610	+	1.39690i
$40$	3.92420	+	4.95990i	0.620471	+	0.784229i
$41$	−4.64751	−	8.04972i	−0.725818	−	1.25715i	−0.958636	−	0.284634i	$-0.908128\pi$
$41$	−4.64751	−	8.04972i	−0.725818	−	1.25715i	0.232818	−	0.972520i	$-0.425205\pi$
$42$	−3.11746	+	11.9134i	−0.481035	+	1.83828i
$43$	0.586607	+	2.18925i	0.0894567	+	0.333857i	0.996121	−	0.0879964i	$-0.0280464\pi$
$43$	0.586607	+	2.18925i	0.0894567	+	0.333857i	−0.906664	+	0.421853i	$0.861380\pi$
$44$	−9.04266	+	0.106009i	−1.36323	+	0.0159814i
$45$	−5.89894	+	7.64420i	−0.879362	+	1.13953i
$46$	−1.82168	+	3.19840i	−0.268593	+	0.471578i
$47$	−5.02989	−	5.02989i	−0.733684	−	0.733684i	0.237663	−	0.971348i	$-0.423618\pi$
$47$	−5.02989	−	5.02989i	−0.733684	−	0.733684i	−0.971348	+	0.237663i	$0.923618\pi$
$48$	−3.04489	−	10.3836i	−0.439493	−	1.49874i
$49$	2.91080	−	1.68055i	0.415829	−	0.240079i
$50$	3.53319	−	6.12508i	0.499668	−	0.866217i
$51$			15.8530i			2.21987i
$52$	−4.72128	+	5.45064i	−0.654724	+	0.755868i
$53$	2.42893	+	2.42893i	0.333639	+	0.333639i	0.853967	−	0.520328i	$-0.174190\pi$
$53$	2.42893	+	2.42893i	0.333639	+	0.333639i	−0.520328	+	0.853967i	$0.674190\pi$
$54$	4.35236	−	2.54696i	0.592281	−	0.346598i
$55$	3.84360	+	9.35163i	0.518270	+	1.26097i
$56$	−4.41283	+	7.96340i	−0.589689	+	1.06415i
$57$	−1.16284	+	1.16284i	−0.154022	+	0.154022i
$58$	−1.58061	−	5.76358i	−0.207545	−	0.756796i
$59$	6.12094	−	10.6018i	0.796879	−	1.38023i	−0.124761	−	0.992187i	$-0.539816\pi$
$59$	6.12094	−	10.6018i	0.796879	−	1.38023i	0.921639	−	0.388047i	$-0.126850\pi$
$60$	−9.53147	+	7.45075i	−1.23051	+	0.961887i
$61$	2.62901	−	4.55359i	0.336611	−	0.583027i	−0.647182	−	0.762335i	$-0.724053\pi$
$61$	2.62901	−	4.55359i	0.336611	−	0.583027i	0.983793	+	0.179308i	$0.0573860\pi$
$62$	3.95484	+	1.03489i	0.502265	+	0.131431i
$63$	−13.4259	−	3.59745i	−1.69150	−	0.453236i
$64$	−0.281285	−	7.99505i	−0.0351606	−	0.999382i
$65$	7.61254	+	2.65503i	0.944220	+	0.329316i
$66$	−0.101392	−	17.2983i	−0.0124805	−	2.12927i
$67$	2.44616	−	9.12920i	0.298846	−	1.11531i	−0.639268	−	0.768984i	$-0.720763\pi$
$67$	2.44616	−	9.12920i	0.298846	−	1.11531i	0.938114	−	0.346326i	$-0.112571\pi$
$68$	−2.90054	+	11.3558i	−0.351742	+	1.37709i
$69$	−6.09758	−	3.52044i	−0.734063	−	0.423811i
$70$	10.0960	+	1.29710i	1.20670	+	0.155033i
$71$	−9.65894	−	5.57659i	−1.14631	−	0.661820i	−0.198321	−	0.980137i	$-0.563549\pi$
$71$	−9.65894	−	5.57659i	−1.14631	−	0.661820i	−0.947984	+	0.318318i	$0.896882\pi$
$72$	11.7399	−	3.36804i	1.38357	−	0.396927i
$73$	−3.36881	−	3.36881i	−0.394289	−	0.394289i	0.481924	−	0.876213i	$-0.339938\pi$
$73$	−3.36881	−	3.36881i	−0.394289	−	0.394289i	−0.876213	+	0.481924i	$0.839938\pi$
$74$	−3.96277	+	6.95758i	−0.460663	+	0.808802i
$75$	11.6767	+	6.82708i	1.34830	+	0.788323i
$76$	−1.04572	+	0.620205i	−0.119953	+	0.0711424i
$77$	−10.2916	+	10.2916i	−1.17284	+	1.17284i
$78$	−10.3733	−	9.09214i	−1.17454	−	1.02948i
$79$	−3.32066			−0.373603			−0.186802	−	0.982398i	$-0.559812\pi$
$79$	−3.32066			−0.373603			−0.186802	+	0.982398i	$0.559812\pi$
$80$	−8.19079	+	3.59318i	−0.915758	+	0.401730i
$81$	−1.65407	−	2.86493i	−0.183786	−	0.318326i
$82$	12.6771	−	3.47657i	1.39995	−	0.383923i
$83$	−0.456036	+	0.456036i	−0.0500565	+	0.0500565i	−0.731692	−	0.681635i	$-0.761269\pi$
$83$	−0.456036	+	0.456036i	−0.0500565	+	0.0500565i	0.681635	+	0.731692i	$0.261269\pi$
$84$	−15.1832	−	8.53030i	−1.65662	−	0.930732i
$85$	12.9963	−	1.67480i	1.40965	−	0.181657i
$86$	−3.20522	+	0.0187870i	−0.345628	+	0.00202586i
$87$	11.0425	−	2.95883i	1.18388	−	0.317220i
$88$	3.09235	−	12.4096i	0.329646	−	1.32287i
$89$	7.00973	−	4.04707i	0.743030	−	0.428988i	−0.0801400	−	0.996784i	$-0.525537\pi$
$89$	7.00973	−	4.04707i	0.743030	−	0.428988i	0.823170	+	0.567795i	$0.192203\pi$
$90$	−8.34650	−	10.8073i	−0.879798	−	1.13919i
$91$	0.694291	+	11.5850i	0.0727815	+	1.21444i
$92$	−3.72369	−	3.63740i	−0.388222	−	0.379225i
$93$	−2.02391	+	7.55335i	−0.209870	+	0.783246i
$94$	8.68239	−	5.08086i	0.895520	−	0.524051i
$95$	1.07615	+	0.830449i	0.110410	+	0.0852023i
$96$	15.2964	−	0.448413i	1.56118	−	0.0457659i
$97$	2.24417	+	8.37534i	0.227861	+	0.850387i	0.981238	+	0.192799i	$0.0617566\pi$
$97$	2.24417	+	8.37534i	0.227861	+	0.850387i	−0.753378	+	0.657588i	$0.771577\pi$
$98$	1.25714	+	4.58406i	0.126990	+	0.463060i
$99$	19.5250			1.96234
$100$	7.11509	+	7.02677i	0.711509	+	0.702677i
$101$	1.61252	+	2.79296i	0.160452	+	0.277910i	0.935031	−	0.354567i	$-0.115372\pi$
$101$	1.61252	+	2.79296i	0.160452	+	0.277910i	−0.774579	+	0.632477i	$0.782038\pi$
$102$	−21.6893	−	5.67558i	−2.14756	−	0.561966i
$103$	−1.84415	+	1.84415i	−0.181710	+	0.181710i	−0.792101	−	0.610391i	$-0.791012\pi$
$103$	−1.84415	+	1.84415i	−0.181710	+	0.181710i	0.610391	+	0.792101i	$0.291012\pi$
$104$	−5.76701	−	8.41080i	−0.565502	−	0.824747i
$105$	−2.59434	+	19.2974i	−0.253182	+	1.88323i
$106$	−4.19272	+	2.45355i	−0.407233	+	0.238310i
$107$	0.0158926	−	0.0593121i	0.00153640	−	0.00573392i	−0.965153	−	0.261685i	$-0.915722\pi$
$107$	0.0158926	−	0.0593121i	0.00153640	−	0.00573392i	0.966690	+	0.255951i	$0.0823886\pi$
$108$	1.92642	+	6.86651i	0.185370	+	0.660730i
$109$			11.0388i			1.05733i	0.848831	+	0.528664i	$0.177307\pi$
$109$			11.0388i			1.05733i	−0.848831	+	0.528664i	$0.822693\pi$
$110$	−14.1705	+	1.91061i	−1.35110	+	0.182169i
$111$	−13.2643	−	7.65813i	−1.25899	−	0.726878i
$112$	−9.31526	−	8.88839i	−0.880210	−	0.839874i
$113$	1.96048	−	0.525309i	0.184426	−	0.0494169i	−0.165424	−	0.986223i	$-0.552899\pi$
$113$	1.96048	−	0.525309i	0.184426	−	0.0494169i	0.349850	+	0.936806i	$0.386232\pi$
$114$	−1.17463	−	2.00725i	−0.110014	−	0.187996i
$115$	−2.24188	+	5.37072i	−0.209056	+	0.500822i
$116$	8.45131	−	0.0990761i	0.784685	−	0.00919899i
$117$	10.3308	−	11.6480i	0.955083	−	1.07686i
$118$	12.3134	+	12.1699i	1.13354	+	1.12033i
$119$	9.43159	+	16.3360i	0.864592	+	1.49752i
$120$	−6.78134	−	15.7079i	−0.619048	−	1.43393i
$121$	4.72261	−	8.17981i	0.429329	−	0.743619i
$122$	5.28876	+	5.22712i	0.478822	+	0.473241i
$123$	6.50798	+	24.2881i	0.586805	+	2.18999i
$124$	−2.83176	+	5.04030i	−0.254300	+	0.452632i
$125$	4.36326	−	10.2938i	0.390262	−	0.920704i
$126$	9.72847	−	17.0806i	0.866681	−	1.52166i
$127$	−0.357350	+	1.33365i	−0.0317097	+	0.118342i	−0.979967	−	0.199162i	$-0.936178\pi$
$127$	−0.357350	+	1.33365i	−0.0317097	+	0.118342i	0.948257	+	0.317504i	$0.102845\pi$
$128$	11.0391	+	2.47749i	0.975729	+	0.218981i
$129$		−	6.13128i		−	0.539829i
$130$	−6.35786	+	9.46454i	−0.557621	+	0.830095i
$131$			10.3597i			0.905133i	0.891731	+	0.452566i	$0.149491\pi$
$131$			10.3597i			0.905133i	−0.891731	+	0.452566i	$0.850509\pi$
$132$	23.7029	+	6.05429i	2.06308	+	0.526958i
$133$	−0.506447	+	1.89009i	−0.0439146	+	0.163891i
$134$	11.6143	+	6.61508i	1.00333	+	0.571456i
$135$	6.33899	−	4.83655i	0.545574	−	0.416264i
$136$	−14.4980	−	8.03389i	−1.24319	−	0.688900i
$137$	−3.20985	−	11.9793i	−0.274236	−	1.02346i	−0.956351	−	0.292219i	$-0.905606\pi$
$137$	−3.20985	−	11.9793i	−0.274236	−	1.02346i	0.682115	−	0.731245i	$-0.261060\pi$
$138$	6.99949	−	7.08203i	0.595836	−	0.602862i
$139$	−4.12663	+	7.14753i	−0.350016	+	0.606246i	−0.986252	−	0.165249i	$-0.947157\pi$
$139$	−4.12663	+	7.14753i	−0.350016	+	0.606246i	0.636236	+	0.771495i	$0.280491\pi$
$140$	−5.38911	+	13.3484i	−0.455463	+	1.12815i
$141$	9.62151	+	16.6649i	0.810277	+	1.40344i
$142$	11.0876	−	11.2184i	0.930452	−	0.941424i
$143$	−5.15403	−	15.4669i	−0.431002	−	1.29340i
$144$	0.404922	+	17.2678i	0.0337435	+	1.43898i
$145$	−3.59224	−	8.74007i	−0.298320	−	0.725824i
$146$	5.81510	−	3.40295i	0.481261	−	0.281630i
$147$	−8.78265	+	2.35330i	−0.724381	+	0.194097i
$148$	−8.10027	−	7.91255i	−0.665838	−	0.650408i
$149$	−15.8722	−	9.16382i	−1.30030	−	0.750729i	−0.319846	−	0.947470i	$-0.603631\pi$
$149$	−15.8722	−	9.16382i	−1.30030	−	0.750729i	−0.980456	+	0.196740i	$0.936964\pi$
$150$	−13.5208	+	13.5312i	−1.10397	+	1.10482i
$151$			22.0303i			1.79280i	0.443246	+	0.896400i	$0.353827\pi$
$151$			22.0303i			1.79280i	−0.443246	+	0.896400i	$0.646173\pi$
$152$	−0.474150	−	1.65274i	−0.0384587	−	0.134055i
$153$	6.54944	−	24.4428i	0.529490	−	1.97609i
$154$	−10.3959	−	17.7650i	−0.837728	−	1.43154i
$155$	6.40606	+	0.861230i	0.514547	+	0.0691757i
$156$	16.1531	−	10.9370i	1.29329	−	0.875664i
$157$	10.4922	−	10.4922i	0.837366	−	0.837366i	−0.151146	−	0.988512i	$-0.548296\pi$
$157$	10.4922	−	10.4922i	0.837366	−	0.837366i	0.988512	+	0.151146i	$0.0482962\pi$
$158$	1.18884	−	4.54315i	0.0945788	−	0.361434i
$159$	−4.64622	−	8.04749i	−0.368469	−	0.638208i
$160$	−1.98360	−	12.4926i	−0.156817	−	0.987628i
$161$	−8.37780			−0.660263
$162$	4.51183	−	1.23733i	0.354483	−	0.0972138i
$163$	−1.88945	−	7.05154i	−0.147993	−	0.552319i	−0.999604	−	0.0281438i	$-0.991040\pi$
$163$	−1.88945	−	7.05154i	−0.147993	−	0.552319i	0.851610	−	0.524175i	$-0.175626\pi$
$164$	0.217919	+	18.5887i	0.0170166	+	1.45154i
$165$	−3.49580	−	27.1272i	−0.272148	−	2.11185i
$166$	−0.460658	−	0.787192i	−0.0357540	−	0.0610979i
$167$	1.69147	−	6.31264i	0.130890	−	0.488486i	−0.869091	−	0.494651i	$-0.835296\pi$
$167$	1.69147	−	6.31264i	0.130890	−	0.488486i	0.999981	+	0.00616499i	$0.00196239\pi$
$168$	17.1065	−	17.7189i	1.31979	−	1.36704i
$169$	−11.9541	−	5.10888i	−0.919542	−	0.392991i
$170$	−2.36147	+	18.3805i	−0.181117	+	1.40972i
$171$	2.27332	−	1.31250i	0.173845	−	0.100370i
$172$	1.12181	−	4.39194i	0.0855369	−	0.334883i
$173$	6.75580	−	1.81021i	0.513634	−	0.137628i	0.00731345	−	0.999973i	$-0.497672\pi$
$173$	6.75580	−	1.81021i	0.513634	−	0.137628i	0.506320	+	0.862346i	$0.331005\pi$
$174$	0.0947614	+	16.1671i	0.00718385	+	1.22562i
$175$	16.0941	+	0.0881625i	1.21660	+	0.00666446i
$176$	15.8711	+	8.67360i	1.19633	+	0.653797i
$177$	−23.4171	+	23.4171i	−1.76014	+	1.76014i
$178$	3.02742	+	11.0392i	0.226914	+	0.827426i
$179$	−12.3423	−	21.3775i	−0.922509	−	1.59783i	−0.795519	−	0.605929i	$-0.792802\pi$
$179$	−12.3423	−	21.3775i	−0.922509	−	1.59783i	−0.126990	−	0.991904i	$-0.540532\pi$
$180$	17.7742	−	7.55008i	1.32481	−	0.562750i
$181$	−3.62140			−0.269177			−0.134588	−	0.990902i	$-0.542971\pi$
$181$	−3.62140			−0.269177			−0.134588	+	0.990902i	$0.542971\pi$
$182$	−16.0986	−	3.19768i	−1.19330	−	0.237028i
$183$	−10.0579	+	10.0579i	−0.743503	+	0.743503i
$184$	6.30962	−	3.79233i	0.465152	−	0.279574i
$185$	−4.87684	+	11.6831i	−0.358552	+	0.858960i
$186$	−9.60951	−	5.47321i	−0.704603	−	0.401315i
$187$	−18.7367	−	18.7367i	−1.37016	−	1.37016i
$188$	3.84297	+	13.6978i	0.280277	+	0.999014i
$189$	9.94013	+	5.73894i	0.723038	+	0.417446i
$190$	−1.52145	+	1.17502i	−0.110378	+	0.0852446i
$191$	0.805435	+	0.465018i	0.0582792	+	0.0336475i	0.528856	−	0.848711i	$-0.322621\pi$
$191$	0.805435	+	0.465018i	0.0582792	+	0.0336475i	−0.470577	+	0.882359i	$0.655954\pi$
$192$	−4.86280	+	21.0882i	−0.350942	+	1.52191i
$193$	−2.71522	+	10.1333i	−0.195446	+	0.729414i	0.796705	+	0.604368i	$0.206574\pi$
$193$	−2.71522	+	10.1333i	−0.195446	+	0.729414i	−0.992151	+	0.125046i	$0.960092\pi$
$194$	−12.2621	+	0.0718731i	−0.880370	+	0.00516019i
$195$	−18.0328	−	12.2677i	−1.29136	−	0.878505i
$196$	−6.72174	+	0.0788001i	−0.480125	+	0.00562858i
$197$	11.1559	+	2.98922i	0.794827	+	0.212973i	0.633312	−	0.773897i	$-0.281695\pi$
$197$	11.1559	+	2.98922i	0.794827	+	0.212973i	0.161515	+	0.986870i	$0.448362\pi$
$198$	−6.99021	+	26.7131i	−0.496772	+	1.89842i
$199$	2.05066	−	3.55184i	0.145367	−	0.251783i	−0.784143	−	0.620581i	$-0.786897\pi$
$199$	2.05066	−	3.55184i	0.145367	−	0.251783i	0.929510	+	0.368797i	$0.120230\pi$
$200$	−12.1610	+	7.21881i	−0.859909	+	0.510447i
$201$	−12.7838	+	22.1421i	−0.901698	+	1.56179i
$202$	−4.39849	+	1.20625i	−0.309476	+	0.0848712i
$203$	9.61860	−	9.61860i	0.675093	−	0.675093i
$204$	15.5301	−	27.6422i	1.08732	−	1.93534i
$205$	19.2239	−	7.90117i	1.34265	−	0.551842i
$206$	−1.86284	−	3.18330i	−0.129790	−	0.221791i
$207$	7.94708	+	7.94708i	0.552360	+	0.552360i
$208$	13.5719	−	4.87894i	0.941041	−	0.338294i
$209$		−	2.74872i		−	0.190133i
$210$	−25.4729	−	10.4581i	−1.75779	−	0.721680i
$211$	6.26384	−	3.61643i	0.431221	−	0.248965i	−0.268646	−	0.963239i	$-0.586576\pi$
$211$	6.26384	−	3.61643i	0.431221	−	0.248965i	0.699867	+	0.714274i	$0.253243\pi$
$212$	−1.85577	−	6.61466i	−0.127455	−	0.454297i
$213$	21.3346	+	21.3346i	1.46182	+	1.46182i
$214$	0.0754579	+	0.0429779i	0.00515820	+	0.00293791i
$215$	−5.02643	+	0.647741i	−0.342799	+	0.0441756i
$216$	−10.0841	+	0.177336i	−0.686135	+	0.0120662i
$217$	2.40821	+	8.98757i	0.163480	+	0.610116i
$218$	−15.1027	−	3.95204i	−1.02289	−	0.267666i
$219$	6.44409	+	11.1615i	0.435451	+	0.754223i
$220$	2.45921	−	20.0713i	0.165800	−	1.35321i
$221$	−21.0914	+	1.26401i	−1.41876	+	0.0850265i
$222$	15.2262	−	15.4058i	1.02192	−	1.03397i
$223$	4.36569	+	1.16978i	0.292349	+	0.0783346i	0.402013	−	0.915634i	$-0.368311\pi$
$223$	4.36569	+	1.16978i	0.292349	+	0.0783346i	−0.109664	+	0.993969i	$0.534977\pi$
$224$	15.4956	−	9.56249i	1.03534	−	0.638921i
$225$	−15.1830	−	15.3503i	−1.01220	−	1.02335i
$226$	0.0168239	+	2.87029i	0.00111911	+	0.190929i
$227$	2.69377	−	0.721793i	0.178792	−	0.0479071i	−0.168312	−	0.985734i	$-0.553832\pi$
$227$	2.69377	−	0.721793i	0.178792	−	0.0479071i	0.347104	+	0.937827i	$0.387165\pi$
$228$	3.16674	−	0.888441i	0.209723	−	0.0588384i
$229$		−	8.85726i		−	0.585304i	−0.956219	−	0.292652i	$-0.905462\pi$
$229$		−	8.85726i		−	0.585304i	0.956219	−	0.292652i	$-0.0945378\pi$
$230$	−6.54532	−	4.99001i	−0.431586	−	0.329031i
$231$	34.0981	−	19.6865i	2.24349	−	1.29528i
$232$	−2.89012	+	11.5981i	−0.189746	+	0.761453i
$233$	3.55451	+	3.55451i	0.232864	+	0.232864i	0.813887	−	0.581023i	$-0.197347\pi$
$233$	3.55451	+	3.55451i	0.232864	+	0.232864i	−0.581023	+	0.813887i	$0.697347\pi$
$234$	12.2376	+	18.3042i	0.799998	+	1.19658i
$235$	12.6455	−	9.64830i	0.824899	−	0.629385i
$236$	−21.0586	+	12.4896i	−1.37080	+	0.813003i
$237$	8.67697	+	2.32499i	0.563630	+	0.151024i
$238$	−25.7267	+	7.05531i	−1.66761	+	0.457328i
$239$	2.15746			0.139555			0.0697774	−	0.997563i	$-0.477771\pi$
$239$	2.15746			0.139555			0.0697774	+	0.997563i	$0.477771\pi$
$240$	23.9185	−	3.65424i	1.54394	−	0.235880i
$241$	−6.81359	+	11.8015i	−0.438902	+	0.760201i	−0.997605	−	0.0691672i	$-0.977966\pi$
$241$	−6.81359	+	11.8015i	−0.438902	+	0.760201i	0.558703	+	0.829368i	$0.311299\pi$
$242$	9.50043	+	9.38971i	0.610711	+	0.603593i
$243$	5.08492	+	18.9772i	0.326198	+	1.21739i
$244$	−9.04491	+	5.36443i	−0.579041	+	0.343422i
$245$	2.85709	+	6.95141i	0.182533	+	0.444109i
$246$	−35.5597	+	0.208429i	−2.26720	+	0.0132889i
$247$	−1.63980	−	1.45436i	−0.104338	−	0.0925390i
$248$	−5.88206	−	5.67876i	−0.373511	−	0.360601i
$249$	1.51093	−	0.872337i	0.0957515	−	0.0552821i
$250$	12.5213	+	9.65488i	0.791917	+	0.610628i
$251$	−22.0628	−	12.7380i	−1.39259	−	0.804012i	−0.398989	−	0.916956i	$-0.630639\pi$
$251$	−22.0628	−	12.7380i	−1.39259	−	0.804012i	−0.993601	+	0.112944i	$0.963972\pi$
$252$	19.8859	+	19.4251i	1.25270	+	1.22366i
$253$	11.3675	−	3.04592i	0.714672	−	0.191496i
$254$	−1.69669	−	0.966370i	−0.106460	−	0.0606355i
$255$	−35.1324	−	4.72319i	−2.20007	−	0.295778i
$256$	−7.34171	+	14.2162i	−0.458857	+	0.888510i
$257$	−20.9284	−	5.60775i	−1.30548	−	0.349802i	−0.461960	−	0.886901i	$-0.652854\pi$
$257$	−20.9284	−	5.60775i	−1.30548	−	0.349802i	−0.843519	+	0.537099i	$0.819520\pi$
$258$	8.38849	+	2.19507i	0.522245	+	0.136659i
$259$	−18.2245			−1.13242
$260$	−10.6727	−	12.0869i	−0.661893	−	0.749599i
$261$	−18.2482			−1.12953
$262$	−14.1736	−	3.70891i	−0.875649	−	0.229137i
$263$	17.1671	+	4.59992i	1.05857	+	0.283643i	0.745790	−	0.666182i	$-0.232072\pi$
$263$	17.1671	+	4.59992i	1.05857	+	0.283643i	0.312782	+	0.949825i	$0.398739\pi$
$264$	−16.7691	+	30.2616i	−1.03207	+	1.86247i
$265$	−6.10649	+	4.65916i	−0.375119	+	0.286210i
$266$	−2.40460	−	1.36957i	−0.147436	−	0.0839737i
$267$	−21.1502	+	5.66718i	−1.29437	+	0.346826i
$268$	−13.2085	+	13.5218i	−0.806836	+	0.825978i
$269$	21.4367	+	12.3765i	1.30702	+	0.754607i	0.981597	−	0.190962i	$-0.0611608\pi$
$269$	21.4367	+	12.3765i	1.30702	+	0.754607i	0.325421	+	0.945569i	$0.394494\pi$
$270$	4.34768	+	10.4042i	0.264591	+	0.633181i
$271$	−11.1142	+	6.41677i	−0.675138	+	0.389791i	−0.798021	−	0.602630i	$-0.794119\pi$
$271$	−11.1142	+	6.41677i	−0.675138	+	0.389791i	0.122883	+	0.992421i	$0.460786\pi$
$272$	16.1820	−	16.9591i	0.981178	−	1.02830i
$273$	6.29714	−	30.7580i	0.381120	−	1.86156i
$274$	17.5387	−	0.102801i	1.05955	−	0.00621042i
$275$	−21.8696	+	5.73172i	−1.31878	+	0.345636i
$276$	7.18335	+	12.1118i	0.432387	+	0.729044i
$277$	7.68149	+	28.6677i	0.461536	+	1.72248i	0.668126	+	0.744048i	$0.267097\pi$
$277$	7.68149	+	28.6677i	0.461536	+	1.72248i	−0.206590	+	0.978428i	$0.566237\pi$
$278$	−8.30149	−	8.20474i	−0.497890	−	0.492088i
$279$	6.24111	−	10.8099i	0.373645	−	0.647173i
$280$	−16.3332	−	12.1520i	−0.976095	−	0.726220i
$281$	28.2643			1.68611			0.843055	−	0.537828i	$-0.180755\pi$
$281$	28.2643			1.68611			0.843055	+	0.537828i	$0.180755\pi$
$282$	−26.2447	+	7.19738i	−1.56285	+	0.428598i
$283$	−13.5725	−	3.63673i	−0.806800	−	0.216181i	−0.168233	−	0.985747i	$-0.553806\pi$
$283$	−13.5725	−	3.63673i	−0.806800	−	0.216181i	−0.638567	+	0.769566i	$0.720473\pi$
$284$	11.3789	+	19.1858i	0.675212	+	1.13847i
$285$	−2.23055	−	2.92346i	−0.132127	−	0.173171i
$286$	23.0062	−	1.51414i	1.36038	−	0.0895331i
$287$	21.1562	+	21.1562i	1.24881	+	1.24881i
$288$	−23.7698	−	5.62809i	−1.40065	−	0.331638i
$289$	−15.0185	+	8.67092i	−0.883440	+	0.510054i
$290$	13.2438	−	1.78566i	0.777701	−	0.104858i
$291$		−	23.4563i		−	1.37503i
$292$	2.57386	+	9.17421i	0.150624	+	0.536880i
$293$	−24.5547	+	6.57941i	−1.43450	+	0.384373i	−0.890604	−	0.454779i	$-0.849718\pi$
$293$	−24.5547	+	6.57941i	−1.43450	+	0.384373i	−0.543897	+	0.839152i	$0.683052\pi$
$294$	−0.0753684	−	12.8585i	−0.00439558	−	0.749921i
$295$	21.6713	+	16.7235i	1.26175	+	0.973677i
$296$	13.7255	−	8.24958i	0.797781	−	0.479497i
$297$	−15.5739	−	4.17302i	−0.903691	−	0.242143i
$298$	18.2199	−	18.4347i	1.05545	−	1.06790i
$299$	4.19753	−	8.39312i	0.242750	−	0.485387i
$300$	−13.6721	−	23.3428i	−0.789357	−	1.34770i
$301$	−3.64774	−	6.31807i	−0.210252	−	0.364167i
$302$	−30.1407	−	7.88712i	−1.73440	−	0.453853i
$303$	−2.25804	−	8.42711i	−0.129721	−	0.484125i
$304$	2.43095	−	0.0570047i	0.139424	−	0.00326944i
$305$	9.30806	+	7.18292i	0.532978	+	0.411293i
$306$	31.0966	+	17.7114i	1.77767	+	1.01249i
$307$	−12.4471	−	12.4471i	−0.710392	−	0.710392i	0.256225	−	0.966617i	$-0.417521\pi$
$307$	−12.4471	−	12.4471i	−0.710392	−	0.710392i	−0.966617	+	0.256225i	$0.917521\pi$
$308$	28.0270	−	7.86308i	1.59699	−	0.448040i
$309$	6.11002	−	3.52762i	0.347587	−	0.200679i
$310$	−3.47174	+	8.45610i	−0.197182	+	0.480274i
$311$		−	1.71633i		−	0.0973241i	−0.998815	−	0.0486620i	$-0.984504\pi$
$311$		−	1.71633i		−	0.0973241i	0.998815	−	0.0486620i	$-0.0154957\pi$
$312$	9.18045	+	26.0155i	0.519741	+	1.47284i
$313$	−5.48738	−	5.48738i	−0.310165	−	0.310165i	0.534808	−	0.844973i	$-0.320384\pi$
$313$	−5.48738	−	5.48738i	−0.310165	−	0.310165i	−0.844973	+	0.534808i	$0.820384\pi$
$314$	10.5985	+	18.1112i	0.598108	+	1.02207i
$315$	11.9725	−	28.6817i	0.674573	−	1.61603i
$316$	5.79008	+	3.25301i	0.325717	+	0.182996i
$317$	7.76857	−	7.76857i	0.436326	−	0.436326i	−0.454447	−	0.890774i	$-0.650163\pi$
$317$	7.76857	−	7.76857i	0.436326	−	0.436326i	0.890774	+	0.454447i	$0.150163\pi$
$318$	12.6736	−	3.47561i	0.710698	−	0.194903i
$319$	−9.55410	+	16.5482i	−0.534927	+	0.926521i
$320$	17.8019	+	1.75865i	0.995156	+	0.0983117i
$321$	−0.0830557	+	0.143857i	−0.00463572	+	0.00802930i
$322$	2.99936	−	11.4621i	0.167148	−	0.638756i
$323$	−3.44105	−	0.922026i	−0.191465	−	0.0513029i
$324$	0.0775584	+	6.61582i	0.00430880	+	0.367546i
$325$	−8.15195	+	16.0794i	−0.452189	+	0.891922i
$326$	10.3240	−	0.0605129i	0.571793	−	0.00335150i
$327$	7.72892	−	28.8447i	0.427411	−	1.59512i
$328$	−25.5102	−	6.35686i	−1.40856	−	0.350999i
$329$	19.8293	+	11.4484i	1.09322	+	0.631173i
$330$	38.3655	+	4.92910i	2.11195	+	0.271338i
$331$	28.9180	+	16.6958i	1.58948	+	0.917684i	0.993393	+	0.114761i	$0.0366103\pi$
$331$	28.9180	+	16.6958i	1.58948	+	0.917684i	0.596083	+	0.802923i	$0.296723\pi$
$332$	1.24192	−	0.348424i	0.0681590	−	0.0191222i
$333$	17.2876	+	17.2876i	0.947352	+	0.947352i
$334$	8.03105	+	4.57418i	0.439440	+	0.250288i
$335$	19.5027	+	8.14094i	1.06555	+	0.444787i
$336$	18.1177	+	29.7478i	0.988404	+	1.62287i
$337$	19.4358	−	19.4358i	1.05873	−	1.05873i	0.0605705	−	0.998164i	$-0.480708\pi$
$337$	19.4358	−	19.4358i	1.05873	−	1.05873i	0.998164	−	0.0605705i	$-0.0192920\pi$
$338$	11.2694	−	14.5259i	0.612974	−	0.790103i
$339$	−5.49059			−0.298208
$340$	−24.3018	−	9.81128i	−1.31795	−	0.532092i
$341$	−6.53524	−	11.3194i	−0.353903	−	0.612978i
$342$	0.981821	+	3.58014i	0.0530908	+	0.193592i
$343$	8.28243	−	8.28243i	0.447209	−	0.447209i
$344$	5.60721	+	3.10717i	0.302320	+	0.167527i
$345$	9.61845	−	12.4642i	0.517840	−	0.671048i
$346$	0.0579750	+	9.89100i	0.00311675	+	0.531744i
$347$	−15.0532	+	4.03350i	−0.808099	+	0.216529i	−0.639137	−	0.769093i	$-0.720708\pi$
$347$	−15.0532	+	4.03350i	−0.808099	+	0.216529i	−0.168962	+	0.985623i	$0.554042\pi$
$348$	−22.1529	−	5.65837i	−1.18752	−	0.303320i
$349$	−21.7714	+	12.5697i	−1.16540	+	0.672842i	−0.952591	−	0.304253i	$-0.901593\pi$
$349$	−21.7714	+	12.5697i	−1.16540	+	0.672842i	−0.212805	+	0.977095i	$0.568260\pi$
$350$	−5.88250	+	21.9875i	−0.314433	+	1.17528i
$351$	−10.7297	+	7.08293i	−0.572711	+	0.378059i
$352$	−17.5488	+	18.6088i	−0.935355	+	0.991851i
$353$	−3.88498	+	14.4990i	−0.206777	+	0.771702i	0.782124	+	0.623123i	$0.214136\pi$
$353$	−3.88498	+	14.4990i	−0.206777	+	0.771702i	−0.988901	+	0.148579i	$0.952530\pi$
$354$	−23.6544	−	40.4217i	−1.25722	−	2.14839i
$355$	15.2362	−	19.7440i	0.808654	−	1.04790i
$356$	−16.1872	+	0.189765i	−0.857918	+	0.0100575i
$357$	−13.2072	−	49.2900i	−0.699000	−	2.60870i
$358$	33.6663	−	9.23270i	1.77932	−	0.487963i
$359$	−3.60876			−0.190463			−0.0952315	−	0.995455i	$-0.530359\pi$
$359$	−3.60876			−0.190463			−0.0952315	+	0.995455i	$0.530359\pi$
$360$	3.96625	+	27.0207i	0.209040	+	1.42412i
$361$	9.31523	+	16.1344i	0.490275	+	0.849181i
$362$	1.29651	−	4.95461i	0.0681429	−	0.260409i
$363$	−18.0675	+	18.0675i	−0.948297	+	0.948297i
$364$	10.1384	−	20.8804i	0.531396	−	1.09443i
$365$	8.46941	−	6.46203i	0.443309	−	0.338238i
$366$	−10.1599	−	17.3616i	−0.531064	−	0.907504i
$367$	−1.03582	+	3.86574i	−0.0540695	+	0.201790i	−0.987677	−	0.156508i	$-0.949976\pi$
$367$	−1.03582	+	3.86574i	−0.0540695	+	0.201790i	0.933607	+	0.358298i	$0.116643\pi$
$368$	2.92954	+	9.99019i	0.152713	+	0.520775i
$369$		−	40.1371i		−	2.08945i
$370$	−14.2383	−	10.8549i	−0.740211	−	0.564321i
$371$	−9.57555	−	5.52845i	−0.497138	−	0.287023i
$372$	10.9285	−	11.1877i	0.566615	−	0.580058i
$373$	−17.2851	+	4.63152i	−0.894988	+	0.239811i	−0.676862	−	0.736110i	$-0.736661\pi$
$373$	−17.2851	+	4.63152i	−0.894988	+	0.239811i	−0.218125	+	0.975921i	$0.569994\pi$
$374$	32.3425	−	18.9266i	1.67239	−	0.978670i
$375$	−18.6086	+	23.8430i	−0.960944	+	1.23125i
$376$	−20.1164	+	0.353763i	−1.03743	+	0.0182439i
$377$	4.81698	+	14.4554i	0.248087	+	0.744491i
$378$	−11.4104	+	11.5450i	−0.586888	+	0.593808i
$379$	11.3118	+	19.5927i	0.581051	+	1.00641i	0.995355	+	0.0962709i	$0.0306915\pi$
$379$	11.3118	+	19.5927i	0.581051	+	1.00641i	−0.414305	+	0.910138i	$0.635975\pi$
$380$	−1.06290	−	2.50224i	−0.0545254	−	0.128362i
$381$	1.86753	−	3.23466i	0.0956765	−	0.165717i
$382$	−0.924569	+	0.935471i	−0.0473051	+	0.0478629i
$383$	−8.32857	−	31.0826i	−0.425570	−	1.58825i	−0.762675	−	0.646782i	$-0.776115\pi$
$383$	−8.32857	−	31.0826i	−0.425570	−	1.58825i	0.337105	−	0.941467i	$-0.390552\pi$
$384$	−27.1109	−	14.2029i	−1.38350	−	0.724787i
$385$	−19.7413	−	25.8738i	−1.00611	−	1.31865i
$386$	−12.8918	−	7.34269i	−0.656177	−	0.373733i
$387$	−2.53304	+	9.45345i	−0.128762	+	0.480546i
$388$	4.29167	−	16.8021i	0.217876	−	0.853000i
$389$		−	4.85075i		−	0.245943i	−0.992410	−	0.122971i	$-0.960758\pi$
$389$		−	4.85075i		−	0.245943i	0.992410	−	0.122971i	$-0.0392423\pi$
$390$	23.2399	−	20.2796i	1.17680	−	1.02690i
$391$		−	15.2524i		−	0.771348i
$392$	2.29866	−	9.22455i	0.116100	−	0.465910i
$393$	7.25345	−	27.0702i	0.365888	−	1.36551i
$394$	−8.08366	+	14.1928i	−0.407249	+	0.715022i
$395$	0.989345	−	7.35901i	0.0497794	−	0.370272i
$396$	−34.0449	−	19.1273i	−1.71082	−	0.961181i
$397$	−4.16053	−	15.5273i	−0.208811	−	0.779294i	−0.988254	−	0.152820i	$-0.951164\pi$
$397$	−4.16053	−	15.5273i	−0.208811	−	0.779294i	0.779443	−	0.626473i	$-0.215502\pi$
$398$	4.12528	+	4.07720i	0.206782	+	0.204372i
$399$	2.64672	−	4.58426i	0.132502	−	0.229500i
$400$	−5.52263	−	19.2224i	−0.276131	−	0.961120i
$401$	−17.5162	−	30.3389i	−0.874716	−	1.51505i	−0.857065	−	0.515208i	$-0.827715\pi$
$401$	−17.5162	−	30.3389i	−0.874716	−	1.51505i	−0.0176501	−	0.999844i	$-0.505618\pi$
$402$	−25.7170	−	25.4172i	−1.28265	−	1.26770i
$403$	−10.2106	−	2.09043i	−0.508626	−	0.104132i
$404$	−0.0756101	−	6.44963i	−0.00376174	−	0.320881i
$405$	6.84187	−	2.81207i	0.339975	−	0.139733i
$406$	9.71608	+	16.6032i	0.482201	+	0.824005i
$407$	24.7282	−	6.62590i	1.22573	−	0.328434i
$408$	32.2586	+	31.1436i	1.59704	+	1.54184i
$409$	8.95527	+	5.17033i	0.442810	+	0.255656i	0.704789	−	0.709417i	$-0.251042\pi$
$409$	8.95527	+	5.17033i	0.442810	+	0.255656i	−0.261979	+	0.965074i	$0.584375\pi$
$410$	3.92758	+	29.1298i	0.193969	+	1.43862i
$411$			33.5497i			1.65489i
$412$	5.02215	−	1.40898i	0.247424	−	0.0694156i
$413$	−10.1988	+	38.0623i	−0.501848	+	1.87292i
$414$	−13.7179	+	8.02763i	−0.674200	+	0.394536i
$415$	−0.874766	−	1.14651i	−0.0429406	−	0.0562798i
$416$	1.81621	+	20.3151i	0.0890470	+	0.996027i
$417$	15.7874	−	15.7874i	0.773112	−	0.773112i
$418$	3.76066	+	0.984077i	0.183940	+	0.0481328i
$419$	3.50218	+	6.06595i	0.171093	+	0.296341i	0.938802	−	0.344457i	$-0.111937\pi$
$419$	3.50218	+	6.06595i	0.171093	+	0.296341i	−0.767710	+	0.640798i	$0.778604\pi$
$420$	23.4279	−	31.1065i	1.14316	−	1.51784i
$421$	16.1787			0.788503			0.394251	−	0.919003i	$-0.371004\pi$
$421$	16.1787			0.788503			0.394251	+	0.919003i	$0.371004\pi$
$422$	2.70528	+	9.86459i	0.131691	+	0.480201i
$423$	−7.94996	−	29.6697i	−0.386540	−	1.44259i
$424$	9.71422	−	0.170832i	0.471764	−	0.00829633i
$425$	−0.160506	+	29.3005i	−0.00778571	+	1.42128i
$426$	−36.8269	+	21.5508i	−1.78427	+	1.04414i
$427$	−4.38049	+	16.3482i	−0.211987	+	0.791145i
$428$	−0.0858150	+	0.0878509i	−0.00414803	+	0.00424644i
$429$	2.63836	+	44.0240i	0.127381	+	2.12550i
$430$	0.913318	−	7.10879i	0.0440441	−	0.342816i
$431$	25.4043	−	14.6672i	1.22368	−	0.706493i	0.257981	−	0.966150i	$-0.416943\pi$
$431$	25.4043	−	14.6672i	1.22368	−	0.706493i	0.965701	+	0.259657i	$0.0836094\pi$
$432$	3.36761	−	13.8600i	0.162024	−	0.666840i
$433$	−16.1803	+	4.33549i	−0.777573	+	0.208350i	−0.625715	−	0.780052i	$-0.715193\pi$
$433$	−16.1803	+	4.33549i	−0.777573	+	0.208350i	−0.151859	+	0.988402i	$0.548526\pi$
$434$	−13.1585	+	0.0771270i	−0.631628	+	0.00370221i
$435$	3.26719	+	25.3532i	0.156650	+	1.21559i
$436$	10.8139	−	19.2479i	0.517894	−	0.921807i
$437$	1.11879	−	1.11879i	0.0535188	−	0.0535188i
$438$	−17.5776	+	4.82051i	−0.839891	+	0.230333i
$439$	6.12468	+	10.6083i	0.292315	+	0.506305i	0.974357	−	0.225009i	$-0.0722410\pi$
$439$	6.12468	+	10.6083i	0.292315	+	0.506305i	−0.682042	+	0.731313i	$0.738908\pi$
$440$	26.5801	+	10.5503i	1.26715	+	0.502967i
$441$	14.5137			0.691128
$442$	5.82163	−	29.3086i	0.276907	−	1.39407i
$443$	4.57895	−	4.57895i	0.217552	−	0.217552i	−0.589914	−	0.807466i	$-0.700838\pi$
$443$	4.57895	−	4.57895i	0.217552	−	0.217552i	0.807466	+	0.589914i	$0.200838\pi$
$444$	15.6262	+	26.3472i	0.741586	+	1.25038i
$445$	6.88038	+	16.7402i	0.326161	+	0.793564i
$446$	−3.16341	+	5.55412i	−0.149792	+	0.262995i
$447$	35.0584	+	35.0584i	1.65820	+	1.65820i
$448$	7.53528	+	24.6238i	0.356008	+	1.16336i
$449$	14.4571	+	8.34682i	0.682273	+	0.393911i	0.800711	−	0.599051i	$-0.204455\pi$
$449$	14.4571	+	8.34682i	0.682273	+	0.393911i	−0.118438	+	0.992961i	$0.537789\pi$
$450$	26.4372	−	15.2770i	1.24626	−	0.720166i
$451$	−36.3979	−	21.0143i	−1.71391	−	0.989527i
$452$	−3.93301	−	1.00458i	−0.184993	−	0.0472516i
$453$	15.4247	−	57.5658i	0.724716	−	2.70468i
$454$	0.0231166	+	3.94388i	0.00108492	+	0.185095i
$455$	−25.8807	−	1.91296i	−1.21331	−	0.0896807i
$456$	0.0817851	+	4.65064i	0.00382994	+	0.217786i
$457$	−23.7935	−	6.37545i	−1.11301	−	0.298231i	−0.344960	−	0.938617i	$-0.612107\pi$
$457$	−23.7935	−	6.37545i	−1.11301	−	0.298231i	−0.768053	+	0.640387i	$0.778774\pi$
$458$	12.1180	+	3.17101i	0.566239	+	0.148172i
$459$	−10.4482	+	18.0968i	−0.487679	+	0.844685i
$460$	9.17037	−	7.16848i	0.427571	−	0.334232i
$461$	11.6361	−	20.1544i	0.541949	−	0.938684i	−0.456843	−	0.889547i	$-0.651020\pi$
$461$	11.6361	−	20.1544i	0.541949	−	0.938684i	0.998792	−	0.0491362i	$-0.0156468\pi$
$462$	14.7265	+	53.6992i	0.685140	+	2.49831i
$463$	13.1387	−	13.1387i	0.610608	−	0.610608i	−0.332496	−	0.943105i	$-0.607891\pi$
$463$	13.1387	−	13.1387i	0.610608	−	0.610608i	0.943105	+	0.332496i	$0.107891\pi$
$464$	−14.8332	−	8.10638i	−0.688615	−	0.376329i
$465$	−16.1362	−	6.73568i	−0.748299	−	0.312359i
$466$	−6.13566	+	3.59054i	−0.284229	+	0.166328i
$467$	27.3891	+	27.3891i	1.26741	+	1.26741i	0.947419	+	0.319995i	$0.103681\pi$
$467$	27.3891	+	27.3891i	1.26741	+	1.26741i	0.319995	+	0.947419i	$0.396319\pi$
$468$	−29.4240	+	10.1897i	−1.36013	+	0.471021i
$469$			30.4223i			1.40477i
$470$	8.67306	+	20.7551i	0.400058	+	0.957360i
$471$	−34.7625	+	20.0701i	−1.60177	+	0.924783i
$472$	−9.54837	−	33.2827i	−0.439499	−	1.53196i
$473$	7.24656	+	7.24656i	0.333197	+	0.333197i
$474$	−6.28739	+	11.0390i	−0.288789	+	0.507038i
$475$	−2.16101	+	2.13746i	−0.0991538	+	0.0980734i
$476$	−0.442242	−	37.7238i	−0.0202701	−	1.72907i
$477$	3.83903	+	14.3275i	0.175777	+	0.656010i
$478$	−0.772399	+	2.95173i	−0.0353287	+	0.135009i
$479$	−8.59729	−	14.8909i	−0.392820	−	0.680384i	0.600000	−	0.800000i	$-0.295167\pi$
$479$	−8.59729	−	14.8909i	−0.392820	−	0.680384i	−0.992820	+	0.119616i	$0.961834\pi$
$480$	−3.56361	+	34.0324i	−0.162656	+	1.55336i
$481$	9.13103	−	18.2578i	0.416339	−	0.832486i
$482$	−13.7068	−	13.5471i	−0.624329	−	0.617052i
$483$	21.8914	+	5.86579i	0.996094	+	0.266903i
$484$	−16.2478	+	9.63635i	−0.738535	+	0.438016i
$485$	−19.2295	+	2.47805i	−0.873165	+	0.112522i
$486$	−27.7841	+	0.162853i	−1.26031	+	0.00738716i
$487$	−11.4324	+	3.06329i	−0.518050	+	0.138811i	−0.508364	−	0.861142i	$-0.669750\pi$
$487$	−11.4324	+	3.06329i	−0.518050	+	0.138811i	−0.00968552	+	0.999953i	$0.503083\pi$
$488$	−4.10113	−	14.2953i	−0.185650	−	0.647118i
$489$			19.7488i			0.893070i
$490$	−10.5334	+	1.42023i	−0.475852	+	0.0641592i
$491$	20.6127	−	11.9007i	0.930236	−	0.537072i	0.0433501	−	0.999060i	$-0.486197\pi$
$491$	20.6127	−	11.9007i	0.930236	−	0.537072i	0.886886	+	0.461988i	$0.152864\pi$
$492$	12.4456	−	48.7255i	0.561093	−	2.19671i
$493$	17.5114	+	17.5114i	0.788674	+	0.788674i
$494$	2.57685	−	1.72281i	0.115938	−	0.0775127i
$495$	−5.81722	+	43.2700i	−0.261465	+	1.94484i
$496$	9.87523	−	6.01446i	0.443411	−	0.270057i
$497$	34.6773	+	9.29176i	1.55549	+	0.416792i
$498$	0.652553	+	2.37949i	0.0292416	+	0.106627i
$499$	−1.98410			−0.0888205			−0.0444102	−	0.999013i	$-0.514141\pi$
$499$	−1.98410			−0.0888205			−0.0444102	+	0.999013i	$0.514141\pi$
$500$	−17.6921	+	13.6744i	−0.791214	+	0.611539i
$501$	−8.83969	+	15.3108i	−0.394928	+	0.684036i
$502$	25.3261	−	25.6248i	1.13036	−	1.14369i
$503$	9.33152	+	34.8257i	0.416072	+	1.55280i	0.782679	+	0.622425i	$0.213853\pi$
$503$	9.33152	+	34.8257i	0.416072	+	1.55280i	−0.366607	+	0.930376i	$0.619481\pi$
$504$	−33.6958	+	20.2524i	−1.50093	+	0.902116i
$505$	−6.67000	+	2.74142i	−0.296811	+	0.121992i
$506$	0.0975508	+	16.6430i	0.00433666	+	0.739870i
$507$	27.6592	+	21.7194i	1.22839	+	0.964591i
$508$	1.92957	−	1.97535i	0.0856110	−	0.0876421i
$509$	27.5966	−	15.9329i	1.22320	−	0.706214i	0.257599	−	0.966252i	$-0.417069\pi$
$509$	27.5966	−	15.9329i	1.22320	−	0.706214i	0.965598	+	0.260038i	$0.0837352\pi$
$510$	19.0398	−	46.3753i	0.843098	−	2.05353i
$511$	13.2808	+	7.66769i	0.587509	+	0.339198i
$512$	−16.8214	−	15.1341i	−0.743407	−	0.668839i
$513$	−2.09381	+	0.561035i	−0.0924440	+	0.0247703i
$514$	15.1649	−	26.6255i	0.668894	−	1.17440i
$515$	−3.53744	−	4.63633i	−0.155878	−	0.204301i
$516$	−6.00637	+	10.6908i	−0.264416	+	0.470637i
$517$	−31.0680	−	8.32464i	−1.36637	−	0.366117i
$518$	6.52460	−	24.9338i	0.286675	−	1.09553i
$519$	−18.9205			−0.830518
$520$	20.3576	−	10.2746i	0.892742	−	0.450569i
$521$	11.8585			0.519528			0.259764	−	0.965672i	$-0.416355\pi$
$521$	11.8585			0.519528			0.259764	+	0.965672i	$0.416355\pi$
$522$	6.53308	−	24.9662i	0.285945	−	1.09274i
$523$	−8.80036	−	2.35805i	−0.384813	−	0.103110i	0.0612258	−	0.998124i	$-0.480499\pi$
$523$	−8.80036	−	2.35805i	−0.384813	−	0.103110i	−0.446039	+	0.895014i	$0.647166\pi$
$524$	10.1487	−	18.0638i	0.443347	−	0.789119i
$525$	−41.9926	−	11.4988i	−1.83271	−	0.501848i
$526$	−12.4394	+	21.8404i	−0.542385	+	0.952285i
$527$	−16.3626	+	4.38434i	−0.712764	+	0.190985i
$528$	−35.3988	−	33.7766i	−1.54053	−	1.46994i
$529$	−14.0520	−	8.11293i	−0.610957	−	0.352736i
$530$	−4.18822	−	10.0226i	−0.181924	−	0.435355i
$531$	45.7799	−	26.4310i	1.98668	−	1.14701i
$532$	2.73465	−	2.79953i	0.118562	−	0.121375i
$533$	−31.7948	+	10.5950i	−1.37719	+	0.458920i
$534$	−0.181501	−	30.9655i	−0.00785430	−	1.34001i
$535$	0.126708	+	0.0528914i	0.00547808	+	0.00228669i
$536$	−13.7711	−	22.9121i	−0.594820	−	0.989653i
$537$	17.2832	+	64.5017i	0.745824	+	2.78345i
$538$	−24.6074	+	24.8976i	−1.06090	+	1.07341i
$539$	7.59885	−	13.1616i	0.327306	−	0.566910i
$540$	−15.7910	+	2.22342i	−0.679538	+	0.0956810i
$541$	−27.4963			−1.18216			−0.591080	−	0.806613i	$-0.701298\pi$
$541$	−27.4963			−1.18216			−0.591080	+	0.806613i	$0.701298\pi$
$542$	−4.80008	−	17.5031i	−0.206181	−	0.751823i
$543$	9.46283	+	2.53556i	0.406089	+	0.108811i
$544$	17.4092	+	28.2109i	0.746415	+	1.20953i
$545$	−24.4635	−	3.28887i	−1.04790	−	0.140880i
$546$	39.8271	+	19.6272i	1.70444	+	0.839965i
$547$	−11.8924	−	11.8924i	−0.508481	−	0.508481i	0.405579	−	0.914060i	$-0.367070\pi$
$547$	−11.8924	−	11.8924i	−0.508481	−	0.508481i	−0.914060	+	0.405579i	$0.867070\pi$
$548$	−6.13841	+	24.0323i	−0.262220	+	1.02661i
$549$	19.6630	−	11.3524i	0.839196	−	0.484510i
$550$	−0.0122594	−	31.9728i	−0.000522742	−	1.36333i
$551$			2.56897i			0.109442i
$552$	−19.1424	+	5.49171i	−0.814757	+	0.233743i
$553$	10.3245	−	2.76645i	0.439044	−	0.117642i
$554$	−41.9717	+	0.246012i	−1.78321	+	0.0104521i
$555$	20.9233	−	27.1137i	0.888146	−	1.15091i
$556$	14.1973	−	8.42027i	0.602101	−	0.357099i
$557$	−6.48890	−	1.73870i	−0.274944	−	0.0736709i	0.118713	−	0.992929i	$-0.462123\pi$
$557$	−6.48890	−	1.73870i	−0.274944	−	0.0736709i	−0.393656	+	0.919258i	$0.628790\pi$
$558$	12.5552	+	12.4088i	0.531502	+	0.525308i
$559$	8.15725	−	0.488865i	0.345015	−	0.0206768i
$560$	22.4732	−	17.9957i	0.949666	−	0.760455i
$561$	35.8408	+	62.0781i	1.51320	+	2.62094i
$562$	−10.1190	+	38.6698i	−0.426844	+	1.63119i
$563$	3.61114	+	13.4769i	0.152191	+	0.567985i	0.999330	+	0.0366129i	$0.0116569\pi$
$563$	3.61114	+	13.4769i	0.152191	+	0.567985i	−0.847138	+	0.531373i	$0.821676\pi$
$564$	−0.451147	−	38.4834i	−0.0189967	−	1.62044i
$565$	0.580055	+	4.50119i	0.0244031	+	0.189366i
$566$	9.83470	−	17.2671i	0.413383	−	0.725792i
$567$	7.52960	+	7.52960i	0.316213	+	0.316213i
$568$	−30.3228	+	8.69921i	−1.27232	+	0.365011i
$569$	−12.5975	+	7.27317i	−0.528114	+	0.304907i	−0.740248	−	0.672334i	$-0.765292\pi$
$569$	−12.5975	+	7.27317i	−0.528114	+	0.304907i	0.212134	+	0.977241i	$0.431959\pi$
$570$	4.79829	−	2.00509i	0.200978	−	0.0839840i
$571$			21.3361i			0.892886i	0.894812	+	0.446443i	$0.147310\pi$
$571$			21.3361i			0.892886i	−0.894812	+	0.446443i	$0.852690\pi$
$572$	−6.16492	+	32.0179i	−0.257768	+	1.33874i
$573$	−1.77904	−	1.77904i	−0.0743203	−	0.0743203i
$574$	−36.5190	+	21.3706i	−1.52427	+	0.891993i
$575$	−11.2343	−	6.56843i	−0.468502	−	0.273923i
$576$	16.2099	−	30.5057i	0.675414	−	1.27107i
$577$	13.6116	−	13.6116i	0.566657	−	0.566657i	−0.364534	−	0.931190i	$-0.618772\pi$
$577$	13.6116	−	13.6116i	0.566657	−	0.566657i	0.931190	+	0.364534i	$0.118772\pi$
$578$	−6.48630	−	23.6518i	−0.269794	−	0.983785i
$579$	14.1899	−	24.5776i	0.589712	−	1.02141i
$580$	−2.29839	+	18.7587i	−0.0954353	+	0.778914i
$581$	1.03798	−	1.79783i	0.0430625	−	0.0745865i
$582$	32.0916	+	8.39763i	1.33024	+	0.348093i
$583$	15.0027	+	4.01996i	0.621349	+	0.166490i
$584$	−13.4732	+	0.236936i	−0.557523	+	0.00980447i
$585$	22.7356	+	26.3648i	0.939999	+	1.09005i
$586$	−0.210716	−	35.9500i	−0.00870462	−	1.48508i
$587$	−2.26240	+	8.44339i	−0.0933793	+	0.348496i	−0.996769	−	0.0803249i	$-0.974404\pi$
$587$	−2.26240	+	8.44339i	−0.0933793	+	0.348496i	0.903389	+	0.428821i	$0.141071\pi$
$588$	17.6193	+	4.50038i	0.726606	+	0.185593i
$589$	−1.52181	−	0.878619i	−0.0627052	−	0.0362029i
$590$	−30.6387	+	23.6623i	−1.26138	+	0.974161i
$591$	−27.0578	−	15.6218i	−1.11301	−	0.642596i
$592$	6.37272	+	21.7320i	0.261917	+	0.893180i
$593$	−24.4719	−	24.4719i	−1.00494	−	1.00494i	−0.999988	−	0.00495231i	$-0.998424\pi$
$593$	−24.4719	−	24.4719i	−1.00494	−	1.00494i	−0.00495231	−	0.999988i	$-0.501576\pi$
$594$	11.2850	−	19.8134i	0.463028	−	0.812955i
$595$	−39.0127	+	16.0345i	−1.59936	+	0.657352i
$596$	18.6985	+	31.5274i	0.765920	+	1.29141i
$597$	−7.84527	+	7.84527i	−0.321085	+	0.321085i
$598$	9.98026	+	8.74769i	0.408123	+	0.357719i
$599$	18.9017			0.772301			0.386150	−	0.922436i	$-0.373805\pi$
$599$	18.9017			0.772301			0.386150	+	0.922436i	$0.373805\pi$
$600$	36.8312	−	10.3484i	1.50363	−	0.422470i
$601$	2.78106	+	4.81694i	0.113442	+	0.196487i	0.917156	−	0.398529i	$-0.130479\pi$
$601$	2.78106	+	4.81694i	0.113442	+	0.196487i	−0.803714	+	0.595016i	$0.797146\pi$
$602$	9.94999	−	2.72870i	0.405531	−	0.111213i
$603$	28.8582	−	28.8582i	1.17520	−	1.17520i
$604$	21.5815	−	38.4132i	0.878138	−	1.56301i
$605$	16.7205	+	12.9030i	0.679784	+	0.524581i
$606$	12.3379	−	0.0723173i	0.501194	−	0.00293769i
$607$	−2.36663	+	0.634136i	−0.0960585	+	0.0257388i	−0.306528	−	0.951862i	$-0.599167\pi$
$607$	−2.36663	+	0.634136i	−0.0960585	+	0.0257388i	0.210470	+	0.977600i	$0.432501\pi$
$608$	−0.792319	+	3.34630i	−0.0321328	+	0.135711i
$609$	−31.8682	+	18.3991i	−1.29136	+	0.745570i
$610$	−13.1597	+	10.1632i	−0.532820	+	0.411497i
$611$	−21.4044	+	14.1295i	−0.865931	+	0.571619i
$612$	−35.3648	+	36.2038i	−1.42954	+	1.46345i
$613$	5.51203	−	20.5712i	0.222629	−	0.830861i	−0.760712	−	0.649089i	$-0.775150\pi$
$613$	5.51203	−	20.5712i	0.222629	−	0.830861i	0.983341	−	0.181772i	$-0.0581833\pi$
$614$	21.4856	−	12.5732i	0.867090	−	0.507414i
$615$	−55.7646	+	7.18622i	−2.24865	+	0.289776i
$616$	0.723832	+	41.1601i	0.0291640	+	1.65839i
$617$	−4.41784	−	16.4876i	−0.177856	−	0.663767i	−0.996048	−	0.0888213i	$-0.971690\pi$
$617$	−4.41784	−	16.4876i	−0.177856	−	0.663767i	0.818192	−	0.574945i	$-0.194977\pi$
$618$	2.63884	+	9.62234i	0.106150	+	0.387067i
$619$	0.122661			0.00493017			0.00246508	−	0.999997i	$-0.499215\pi$
$619$	0.122661			0.00493017			0.00246508	+	0.999997i	$0.499215\pi$
$620$	−10.3263	−	7.77724i	−0.414713	−	0.312342i
$621$	−4.64040	−	8.03741i	−0.186213	−	0.322530i
$622$	2.34819	+	0.614467i	0.0941539	+	0.0246379i
$623$	−18.4229	+	18.4229i	−0.738099	+	0.738099i
$624$	−38.8797	+	3.24634i	−1.55643	+	0.129958i
$625$	21.5124	+	12.7364i	0.860496	+	0.509458i
$626$	9.47210	−	5.54300i	0.378581	−	0.221543i
$627$	−1.92454	+	7.18249i	−0.0768588	+	0.286841i
$628$	−28.5731	+	8.01629i	−1.14019	+	0.319885i
$629$		−	33.1791i		−	1.32294i
$630$	34.9545	+	26.6485i	1.39262	+	1.06170i
$631$	−3.12993	−	1.80707i	−0.124601	−	0.0719382i	0.436404	−	0.899751i	$-0.356252\pi$
$631$	−3.12993	−	1.80707i	−0.124601	−	0.0719382i	−0.561005	+	0.827812i	$0.689585\pi$
$632$	−6.52352	+	6.75707i	−0.259492	+	0.268782i
$633$	−18.8997	+	5.06415i	−0.751194	+	0.201282i
$634$	7.84730	+	13.4098i	0.311656	+	0.532571i
$635$	−2.84907	−	1.18928i	−0.113062	−	0.0471950i
$636$	0.217859	+	18.5836i	0.00863867	+	0.736888i
$637$	−3.83118	−	11.4971i	−0.151797	−	0.455532i
$638$	−19.2199	−	18.9959i	−0.760922	−	0.752054i
$639$	−24.0804	−	41.7086i	−0.952608	−	1.64997i
$640$	−8.77939	+	23.7260i	−0.347036	+	0.937852i
$641$	21.7418	−	37.6580i	0.858751	−	1.48740i	−0.0143694	−	0.999897i	$-0.504574\pi$
$641$	21.7418	−	37.6580i	0.858751	−	1.48740i	0.873121	−	0.487504i	$-0.162093\pi$
$642$	−0.167082	−	0.165135i	−0.00659421	−	0.00651736i
$643$	3.89067	+	14.5202i	0.153433	+	0.572620i	0.999234	+	0.0391223i	$0.0124562\pi$
$643$	3.89067	+	14.5202i	0.153433	+	0.572620i	−0.845801	+	0.533498i	$0.820877\pi$
$644$	14.6080	+	8.20712i	0.575635	+	0.323406i
$645$	13.5877	+	1.82673i	0.535015	+	0.0719274i
$646$	2.49341	−	4.37776i	0.0981017	−	0.172241i
$647$	6.83089	−	25.4932i	0.268550	−	1.00224i	−0.691492	−	0.722384i	$-0.743046\pi$
$647$	6.83089	−	25.4932i	0.268550	−	1.00224i	0.960042	−	0.279858i	$-0.0902872\pi$
$648$	−9.07919	−	2.26244i	−0.356664	−	0.0888769i
$649$		−	55.3534i		−	2.17281i
$650$	−19.0804	−	16.9097i	−0.748396	−	0.663252i
$651$		−	25.1709i		−	0.986526i
$652$	−3.61333	+	14.1464i	−0.141509	+	0.554016i
$653$	4.64798	−	17.3465i	0.181890	−	0.678821i	−0.813385	−	0.581725i	$-0.802378\pi$
$653$	4.64798	−	17.3465i	0.181890	−	0.678821i	0.995275	−	0.0970960i	$-0.0309554\pi$
$654$	36.6968	+	20.9011i	1.43496	+	0.817297i
$655$	−22.9585	−	3.08654i	−0.897062	−	0.120601i
$656$	17.8301	−	32.6258i	0.696147	−	1.27382i
$657$	−5.32456	−	19.8715i	−0.207731	−	0.775261i
$658$	−22.7623	+	23.0307i	−0.887366	+	0.897829i
$659$	−1.68208	+	2.91345i	−0.0655245	+	0.113492i	−0.896927	−	0.442180i	$-0.854205\pi$
$659$	−1.68208	+	2.91345i	−0.0655245	+	0.113492i	0.831402	+	0.555671i	$0.187539\pi$
$660$	−20.4791	+	50.7250i	−0.797146	+	1.97447i
$661$	−8.47043	−	14.6712i	−0.329462	−	0.570644i	0.652943	−	0.757407i	$-0.273534\pi$
$661$	−8.47043	−	14.6712i	−0.329462	−	0.570644i	−0.982405	+	0.186762i	$0.940201\pi$
$662$	−33.1953	+	33.5867i	−1.29017	+	1.30539i
$663$	55.9973	+	11.4644i	2.17476	+	0.445241i
$664$	0.0320740	+	1.82386i	0.00124471	+	0.0707796i
$665$	−4.03779	−	1.68548i	−0.156579	−	0.0653601i
$666$	−29.8411	+	17.4628i	−1.15632	+	0.676668i
$667$	−10.6242	+	2.84674i	−0.411369	+	0.110226i
$668$	−9.13336	+	9.35005i	−0.353380	+	0.361764i
$669$	−10.5886	−	6.11336i	−0.409381	−	0.236356i
$670$	−18.1202	+	23.7680i	−0.700045	+	0.918238i
$671$		−	23.7749i		−	0.917820i
$672$	−47.1857	+	14.1377i	−1.82023	+	0.545373i
$673$	−5.30982	+	19.8165i	−0.204679	+	0.763871i	0.784869	+	0.619662i	$0.212730\pi$
$673$	−5.30982	+	19.8165i	−0.204679	+	0.763871i	−0.989547	+	0.144209i	$0.953936\pi$
$674$	19.6328	+	33.5493i	0.756226	+	1.29227i
$675$	8.82982	+	15.4890i	0.339860	+	0.596173i
$676$	15.8389	+	20.6186i	0.609190	+	0.793024i
$677$	−14.1053	+	14.1053i	−0.542110	+	0.542110i	−0.924147	−	0.382037i	$-0.875223\pi$
$677$	−14.1053	+	14.1053i	−0.542110	+	0.542110i	0.382037	+	0.924147i	$0.375223\pi$
$678$	1.96570	−	7.51193i	0.0754922	−	0.288494i
$679$	−13.9551	−	24.1709i	−0.535546	−	0.927593i
$680$	22.1236	−	29.7358i	0.848402	−	1.14032i
$681$	−7.54425			−0.289096
$682$	17.8263	−	4.88870i	0.682603	−	0.187198i
$683$	10.2214	+	38.1469i	0.391112	+	1.45965i	0.828303	+	0.560281i	$0.189307\pi$
$683$	10.2214	+	38.1469i	0.391112	+	1.45965i	−0.437191	+	0.899369i	$0.644027\pi$
$684$	−5.24966	+	0.0615426i	−0.200726	+	0.00235314i
$685$	27.5041	−	3.54437i	1.05088	−	0.135424i
$686$	8.36637	+	14.2968i	0.319430	+	0.545854i
$687$	−6.20149	+	23.1443i	−0.236601	+	0.883009i
$688$	−6.25851	+	6.55908i	−0.238604	+	0.250063i
$689$	10.3362	−	6.82314i	0.393778	−	0.259941i
$690$	13.6093	+	17.6218i	0.518097	+	0.670850i
$691$	11.7282	−	6.77126i	0.446160	−	0.257591i	−0.260047	−	0.965596i	$-0.583738\pi$
$691$	11.7282	−	6.77126i	0.446160	−	0.257591i	0.706207	+	0.708005i	$0.250405\pi$
$692$	−13.5531	−	3.46178i	−0.515212	−	0.131597i
$693$	−60.7070	+	16.2664i	−2.30607	+	0.617909i
$694$	−0.129179	−	22.0391i	−0.00490358	−	0.836591i
$695$	−14.6104	−	11.2747i	−0.554204	−	0.427672i
$696$	15.6725	−	28.2826i	0.594064	−	1.07205i
$697$	−38.5165	+	38.5165i	−1.45892	+	1.45892i
$698$	−9.40280	−	34.2866i	−0.355901	−	1.29777i
$699$	−6.79931	−	11.7768i	−0.257174	−	0.445438i
$700$	−27.9762	−	15.9199i	−1.05740	−	0.601717i
$701$	10.4887			0.396153			0.198076	−	0.980187i	$-0.436531\pi$
$701$	10.4887			0.396153			0.198076	+	0.980187i	$0.436531\pi$
$702$	−5.84911	−	17.2156i	−0.220760	−	0.649763i
$703$	2.43373	−	2.43373i	0.0917900	−	0.0917900i
$704$	−19.1768	−	30.6715i	−0.722755	−	1.15598i
$705$	−39.7983	+	16.3574i	−1.49889	+	0.616056i
$706$	−18.4458	−	10.5060i	−0.694218	−	0.395400i
$707$	−7.34045	−	7.34045i	−0.276066	−	0.276066i
$708$	63.7714	−	17.8913i	2.39668	−	0.672396i
$709$	−7.03009	−	4.05882i	−0.264020	−	0.152432i	0.362147	−	0.932121i	$-0.382044\pi$
$709$	−7.03009	−	4.05882i	−0.264020	−	0.152432i	−0.626167	+	0.779689i	$0.715377\pi$
$710$	21.5579	+	27.9140i	0.809055	+	1.04759i
$711$	−12.4180	−	7.16952i	−0.465710	−	0.268878i
$712$	5.53558	−	22.2144i	0.207455	−	0.832519i
$713$	1.94724	−	7.26719i	0.0729246	−	0.272158i
$714$	72.1643	−	0.422983i	2.70068	−	0.0158297i
$715$	35.8122	−	6.81386i	1.33930	−	0.254824i
$716$	0.578725	+	49.3659i	0.0216280	+	1.84489i
$717$	−5.63751	−	1.51057i	−0.210537	−	0.0564131i
$718$	1.29198	−	4.93731i	0.0482163	−	0.184259i
$719$	−9.53250	+	16.5108i	−0.355502	+	0.615748i	−0.987204	−	0.159464i	$-0.949023\pi$
$719$	−9.53250	+	16.5108i	−0.355502	+	0.615748i	0.631702	+	0.775212i	$0.282357\pi$
$720$	−38.3883	−	4.24734i	−1.43065	−	0.158289i
$721$	4.19745	−	7.27019i	0.156321	−	0.270756i
$722$	−25.4093	+	6.96827i	−0.945635	+	0.259332i
$723$	26.0670	−	26.0670i	0.969442	−	0.969442i
$724$	6.31448	+	3.54763i	0.234676	+	0.131847i
$725$	20.4394	−	5.35689i	0.759100	−	0.198950i
$726$	−18.2506	−	31.1874i	−0.677343	−	1.15747i
$727$	27.9751	+	27.9751i	1.03754	+	1.03754i	0.999267	+	0.0382703i	$0.0121848\pi$
$727$	27.9751	+	27.9751i	1.03754	+	1.03754i	0.0382703	+	0.999267i	$0.487815\pi$
$728$	24.9378	+	21.3462i	0.924255	+	0.791144i
$729$		−	43.2237i		−	1.60088i
$730$	5.80885	+	13.9009i	0.214995	+	0.514495i
$731$	11.5025	−	6.64099i	0.425436	−	0.245626i
$732$	27.3905	−	7.68452i	1.01238	−	0.284028i
$733$	5.06709	+	5.06709i	0.187157	+	0.187157i	0.794466	−	0.607309i	$-0.207751\pi$
$733$	5.06709	+	5.06709i	0.187157	+	0.187157i	−0.607309	+	0.794466i	$0.707751\pi$
$734$	−4.91807	−	2.80114i	−0.181529	−	0.103392i
$735$	−2.59856	−	20.1646i	−0.0958493	−	0.743784i
$736$	−14.7169	+	0.431425i	−0.542471	+	0.0159025i
$737$	−11.0607	−	41.2790i	−0.407425	−	1.52053i
$738$	54.9134	+	14.3696i	2.02139	+	0.528951i
$739$	−12.6648	−	21.9360i	−0.465881	−	0.806930i	0.533360	−	0.845889i	$-0.320929\pi$
$739$	−12.6648	−	21.9360i	−0.465881	−	0.806930i	−0.999241	+	0.0389588i	$0.987596\pi$
$740$	19.9486	−	15.5938i	0.733326	−	0.573240i
$741$	3.26655	+	4.94841i	0.120000	+	0.181784i
$742$	10.9919	−	11.1215i	0.403525	−	0.408283i
$743$	−4.25867	−	1.14111i	−0.156235	−	0.0418631i	0.179854	−	0.983693i	$-0.442438\pi$
$743$	−4.25867	−	1.14111i	−0.156235	−	0.0418631i	−0.336089	+	0.941830i	$0.609104\pi$
$744$	11.3940	+	18.9571i	0.417723	+	0.695002i
$745$	25.0371	−	32.4446i	0.917289	−	1.18868i
$746$	−0.148332	−	25.3067i	−0.00543083	−	0.926543i
$747$	−2.69001	+	0.720786i	−0.0984223	+	0.0263722i
$748$	14.3153	+	51.0253i	0.523420	+	1.86567i
$749$			0.197653i			0.00722207i
$750$	−25.9586	−	33.9954i	−0.947873	−	1.24134i
$751$	32.6860	−	18.8712i	1.19273	−	0.688621i	0.233803	−	0.972284i	$-0.424883\pi$
$751$	32.6860	−	18.8712i	1.19273	−	0.688621i	0.958924	+	0.283662i	$0.0915495\pi$
$752$	6.71793	−	27.6489i	0.244978	−	1.00825i
$753$	48.7320	+	48.7320i	1.77589	+	1.77589i
$754$	−21.5017	+	1.41512i	−0.783044	+	0.0515358i
$755$	−48.8220	−	6.56363i	−1.77682	−	0.238875i
$756$	−11.7101	−	19.7444i	−0.425893	−	0.718095i
$757$	38.9354	+	10.4327i	1.41513	+	0.379184i	0.883755	−	0.467951i	$-0.155008\pi$
$757$	38.9354	+	10.4327i	1.41513	+	0.379184i	0.531378	+	0.847135i	$0.321674\pi$
$758$	−30.8555	+	8.46185i	−1.12072	+	0.307348i
$759$	−31.8363			−1.15559
$760$	3.80396	−	0.558366i	0.137984	−	0.0202541i
$761$	−2.87137	+	4.97337i	−0.104087	+	0.180284i	−0.913365	−	0.407142i	$-0.866525\pi$
$761$	−2.87137	+	4.97337i	−0.104087	+	0.180284i	0.809278	+	0.587426i	$0.199859\pi$
$762$	3.75689	+	3.71310i	0.136098	+	0.134512i
$763$	−9.19649	−	34.3218i	−0.332935	−	1.24253i
$764$	−0.948855	−	1.59986i	−0.0343284	−	0.0578808i
$765$	52.2172	+	21.7968i	1.88792	+	0.788065i
$766$	45.5074	−	0.266736i	1.64425	−	0.00963756i
$767$	−33.0220	−	29.2878i	−1.19236	−	1.05752i
$768$	29.1377	−	32.0069i	1.05141	−	1.15495i
$769$	−2.94627	+	1.70103i	−0.106245	+	0.0613407i	−0.552181	−	0.833724i	$-0.686204\pi$
$769$	−2.94627	+	1.70103i	−0.106245	+	0.0613407i	0.445936	+	0.895065i	$0.352871\pi$
$770$	42.4669	−	17.7459i	1.53040	−	0.639518i
$771$	50.7602	+	29.3064i	1.82808	+	1.05544i
$772$	14.6613	−	15.0091i	0.527672	−	0.540191i
$773$	35.1393	−	9.41556i	1.26387	−	0.338654i	0.436193	−	0.899853i	$-0.356326\pi$
$773$	35.1393	−	9.41556i	1.26387	−	0.338654i	0.827681	+	0.561199i	$0.189660\pi$
$774$	−12.0269	−	6.85003i	−0.432296	−	0.246219i
$775$	−3.81720	+	13.9401i	−0.137118	+	0.500742i
$776$	21.4513	+	11.8870i	0.770058	+	0.426719i
$777$	47.6211	+	12.7600i	1.70840	+	0.457764i
$778$	6.63654	+	1.73663i	0.237932	+	0.0622612i
$779$	−5.65048			−0.202449
$780$	19.4253	+	39.0560i	0.695537	+	1.39843i
$781$	−50.4307			−1.80455
$782$	20.8676	+	5.46056i	0.746222	+	0.195269i
$783$	14.5555	+	3.90013i	0.520170	+	0.139379i
$784$	11.7976	+	6.44741i	0.421343	+	0.230264i
$785$	20.1260	+	26.3780i	0.718328	+	0.941471i
$786$	34.4392	+	19.6153i	1.22841	+	0.699653i
$787$	45.2040	−	12.1124i	1.61135	−	0.431760i	0.662905	−	0.748703i	$-0.269323\pi$
$787$	45.2040	−	12.1124i	1.61135	−	0.431760i	0.948444	+	0.316943i	$0.102657\pi$
$788$	−16.5238	−	16.1408i	−0.588635	−	0.574993i
$789$	−41.6375	−	24.0394i	−1.48234	−	0.855827i
$790$	9.71402	+	3.98819i	0.345609	+	0.141893i
$791$	−5.65786	+	3.26657i	−0.201170	+	0.116146i
$792$	38.3574	−	39.7306i	1.36297	−	1.41177i
$793$	−14.1833	−	12.5794i	−0.503665	−	0.446709i
$794$	22.7332	−	0.133248i	0.806770	−	0.00472879i
$795$	19.2186	−	7.89900i	0.681613	−	0.280148i
$796$	−7.05511	+	4.18430i	−0.250062	+	0.148309i
$797$	9.75267	+	36.3975i	0.345457	+	1.28926i	0.892077	+	0.451883i	$0.149248\pi$
$797$	9.75267	+	36.3975i	0.345457	+	1.28926i	−0.546620	+	0.837381i	$0.684086\pi$
$798$	5.32438	+	5.26232i	0.188481	+	0.186284i
$799$	−20.8427	+	36.1007i	−0.737363	+	1.27715i
$800$	28.2762	−	0.673914i	0.999716	−	0.0238264i
$801$	34.9515			1.23495
$802$	47.7791	−	13.1030i	1.68714	−	0.462683i
$803$	−20.8080	−	5.57550i	−0.734300	−	0.196755i
$804$	43.9815	−	26.0849i	1.55111	−	0.919944i
$805$	2.49605	−	18.5663i	0.0879743	−	0.654376i
$806$	6.51554	−	13.2212i	0.229500	−	0.465697i
$807$	−47.3491	−	47.3491i	−1.66677	−	1.66677i
$808$	8.85111	+	2.20560i	0.311381	+	0.0775928i
$809$	−29.9626	+	17.2989i	−1.05343	+	0.608198i	−0.923607	−	0.383340i	$-0.874774\pi$
$809$	−29.9626	+	17.2989i	−1.05343	+	0.608198i	−0.129822	+	0.991537i	$0.541441\pi$
$810$	1.39785	+	10.3674i	0.0491153	+	0.364275i
$811$			27.7674i			0.975046i	0.873110	+	0.487523i	$0.162099\pi$
$811$			27.7674i			0.975046i	−0.873110	+	0.487523i	$0.837901\pi$
$812$	−26.1942	+	7.34887i	−0.919235	+	0.257895i
$813$	33.5344	−	8.98551i	1.17610	−	0.315136i
$814$	0.212205	+	36.2040i	0.00743780	+	1.26895i
$815$	16.1901	−	2.08637i	0.567113	−	0.0730822i
$816$	−54.1581	+	32.9847i	−1.89591	+	1.15470i
$817$	1.33085	+	0.356601i	0.0465606	+	0.0124759i
$818$	−10.2799	+	10.4011i	−0.359427	+	0.363666i
$819$	−22.4164	+	44.8224i	−0.783292	+	1.56622i
$820$	−41.2600	−	5.05533i	−1.44086	−	0.176540i
$821$	−11.8438	−	20.5141i	−0.413352	−	0.715947i	0.581902	−	0.813259i	$-0.302309\pi$
$821$	−11.8438	−	20.5141i	−0.413352	−	0.715947i	−0.995254	+	0.0973122i	$0.968975\pi$
$822$	−45.9010	−	12.0112i	−1.60098	−	0.418939i
$823$	−11.9613	−	44.6401i	−0.416944	−	1.55606i	−0.780909	−	0.624645i	$-0.785244\pi$
$823$	−11.9613	−	44.6401i	−0.416944	−	1.55606i	0.363965	−	0.931413i	$-0.381423\pi$
$824$	0.129703	+	7.37547i	0.00451843	+	0.256937i
$825$	61.1589	+	0.335025i	2.12928	+	0.0116641i
$826$	−48.4235	−	27.5802i	−1.68487	−	0.959637i
$827$	5.67936	+	5.67936i	0.197491	+	0.197491i	0.798923	−	0.601433i	$-0.205403\pi$
$827$	5.67936	+	5.67936i	0.197491	+	0.197491i	−0.601433	+	0.798923i	$0.705403\pi$
$828$	−6.07178	−	21.6421i	−0.211009	−	0.752117i
$829$	−25.6244	+	14.7943i	−0.889973	+	0.513826i	−0.873934	−	0.486045i	$-0.838439\pi$
$829$	−25.6244	+	14.7943i	−0.889973	+	0.513826i	−0.0160392	+	0.999871i	$0.505106\pi$
$830$	1.88177	−	0.786346i	0.0653170	−	0.0272945i
$831$		−	80.2877i		−	2.78515i
$832$	−28.4442	−	4.78820i	−0.986126	−	0.166001i
$833$	−13.9277	−	13.9277i	−0.482565	−	0.482565i
$834$	15.9474	+	27.2516i	0.552213	+	0.943645i
$835$	13.4857	+	5.62927i	0.466691	+	0.194809i
$836$	−2.69273	+	4.79282i	−0.0931299	+	0.165763i
$837$	−7.28852	+	7.28852i	−0.251928	+	0.251928i
$838$	−9.55293	+	2.61981i	−0.330001	+	0.0904998i
$839$	−6.32842	+	10.9611i	−0.218481	+	0.378421i	−0.954344	−	0.298710i	$-0.903444\pi$
$839$	−6.32842	+	10.9611i	−0.218481	+	0.378421i	0.735863	+	0.677131i	$0.236777\pi$
$840$	34.1708	+	43.1893i	1.17900	+	1.49017i
$841$	−5.57069	+	9.64872i	−0.192093	+	0.332714i
$842$	−5.79218	+	22.1349i	−0.199612	+	0.762818i
$843$	−73.8555	−	19.7895i	−2.54372	−	0.681587i
$844$	−14.4647	+	0.169573i	−0.497897	+	0.00583693i
$845$	14.8835	−	24.9696i	0.512008	−	0.858981i
$846$	43.4387	−	0.254611i	1.49345	−	0.00875369i
$847$	−7.86886	+	29.3670i	−0.270377	+	1.00906i
$848$	−3.24409	+	13.3516i	−0.111402	+	0.458497i
$849$	32.9190	+	19.0058i	1.12978	+	0.652276i
$850$	−40.0300	−	10.7095i	−1.37302	−	0.367334i
$851$	12.7618	+	7.36800i	0.437467	+	0.252572i
$852$	−16.3002	−	58.1000i	−0.558435	−	1.99047i
$853$	23.5569	+	23.5569i	0.806573	+	0.806573i	0.984113	−	0.177541i	$-0.0568142\pi$
$853$	23.5569	+	23.5569i	0.806573	+	0.806573i	−0.177541	+	0.984113i	$0.556814\pi$
$854$	−20.7985	−	11.8460i	−0.711709	−	0.405362i
$855$	2.23138	+	5.42903i	0.0763114	+	0.185669i
$856$	−0.0894702	−	0.148859i	−0.00305803	−	0.00508791i
$857$	−22.7340	+	22.7340i	−0.776580	+	0.776580i	−0.979248	−	0.202668i	$-0.935039\pi$
$857$	−22.7340	+	22.7340i	−0.776580	+	0.776580i	0.202668	+	0.979248i	$0.435039\pi$
$858$	−61.1758	−	12.1515i	−2.08851	−	0.414844i
$859$	16.1852			0.552232			0.276116	−	0.961124i	$-0.410953\pi$
$859$	16.1852			0.552232			0.276116	+	0.961124i	$0.410953\pi$
$860$	9.39889	+	3.79459i	0.320500	+	0.129394i
$861$	−40.4690	−	70.0944i	−1.37918	−	2.38881i
$862$	10.9718	+	40.0079i	0.373701	+	1.36267i
$863$	−27.3663	+	27.3663i	−0.931560	+	0.931560i	−0.997803	−	0.0662439i	$-0.978898\pi$
$863$	−27.3663	+	27.3663i	−0.931560	+	0.931560i	0.0662439	+	0.997803i	$0.478898\pi$
$864$	17.7569	+	9.56943i	0.604101	+	0.325559i
$865$	1.99886	+	15.5111i	0.0679634	+	0.527392i
$866$	−0.138851	−	23.6891i	−0.00471835	−	0.804989i
$867$	45.3147	−	12.1420i	1.53897	−	0.412365i
$868$	4.60538	−	18.0304i	0.156317	−	0.611991i
$869$	−13.0032	+	7.50741i	−0.441104	+	0.254672i
$870$	−35.8566	−	4.60676i	−1.21565	−	0.156184i
$871$	−30.4779	−	15.2425i	−1.03271	−	0.516472i
$872$	22.4624	+	21.6860i	0.760674	+	0.734382i
$873$	−9.69060	+	36.1658i	−0.327977	+	1.22403i
$874$	1.13012	+	1.93120i	0.0382270	+	0.0653239i
$875$	−4.99040	+	35.6403i	−0.168706	+	1.20486i
$876$	−0.302160	−	25.7746i	−0.0102090	−	0.870842i
$877$	13.3031	+	49.6479i	0.449215	+	1.67649i	0.704562	+	0.709642i	$0.251143\pi$
$877$	13.3031	+	49.6479i	0.449215	+	1.67649i	−0.255347	+	0.966849i	$0.582190\pi$
$878$	−16.7064	+	4.58158i	−0.563813	+	0.154621i
$879$	68.7687			2.31951
$880$	−23.9504	+	32.5883i	−0.807368	+	1.09855i
$881$	12.1799	+	21.0962i	0.410351	+	0.710750i	0.994928	−	0.100589i	$-0.0320727\pi$
$881$	12.1799	+	21.0962i	0.410351	+	0.710750i	−0.584577	+	0.811338i	$0.698739\pi$
$882$	−5.19608	+	19.8569i	−0.174961	+	0.668615i
$883$	35.3014	−	35.3014i	1.18799	−	1.18799i	0.210365	−	0.977623i	$-0.432535\pi$
$883$	35.3014	−	35.3014i	1.18799	−	1.18799i	0.977623	−	0.210365i	$-0.0674651\pi$
$884$	38.0143	+	18.4577i	1.27856	+	0.620800i
$885$	−44.9186	−	58.8722i	−1.50992	−	1.97897i
$886$	4.62536	+	7.90400i	0.155392	+	0.265540i
$887$	−4.01375	+	14.9795i	−0.134768	+	0.502963i	0.865230	+	0.501375i	$0.167172\pi$
$887$	−4.01375	+	14.9795i	−0.134768	+	0.502963i	−0.999999	+	0.00158794i	$0.999495\pi$
$888$	−41.6412	+	11.9463i	−1.39739	+	0.400892i
$889$		−	4.44427i		−	0.149056i
$890$	−25.3664	+	3.42016i	−0.850283	+	0.114644i
$891$	−12.9542	−	7.47911i	−0.433982	−	0.250560i
$892$	−6.46631	−	6.31645i	−0.216508	−	0.211491i
$893$	−4.17688	+	1.11919i	−0.139774	+	0.0374523i
$894$	−60.5163	+	35.4137i	−2.02397	+	1.18441i
$895$	51.0527	−	20.9831i	1.70650	−	0.701387i
$896$	−36.3867	+	1.49375i	−1.21559	+	0.0499028i
$897$	−16.8448	+	18.9925i	−0.562431	+	0.634142i
$898$	−16.5955	+	16.7912i	−0.553799	+	0.560329i
$899$	6.10787	+	10.5791i	0.203709	+	0.352834i
$900$	11.4364	+	41.6393i	0.381213	+	1.38798i
$901$	10.0650	−	17.4330i	0.335312	−	0.580778i
$902$	41.7816	−	42.2743i	1.39118	−	1.40758i
$903$	5.10799	+	19.0633i	0.169983	+	0.634386i
$904$	2.78248	−	5.02128i	0.0925440	−	0.167005i
$905$	1.07895	−	8.02550i	0.0358655	−	0.266777i
$906$	73.2362	+	41.7125i	2.43311	+	1.38581i
$907$	−6.59531	+	24.6140i	−0.218994	+	0.817295i	0.765729	+	0.643163i	$0.222378\pi$
$907$	−6.59531	+	24.6140i	−0.218994	+	0.817295i	−0.984722	+	0.174131i	$0.944288\pi$
$908$	−5.40409	−	1.38033i	−0.179341	−	0.0458079i
$909$			13.9261i			0.461901i
$910$	11.8828	−	34.7238i	0.393912	−	1.15108i
$911$			47.6205i			1.57774i	0.614562	+	0.788869i	$0.289333\pi$
$911$			47.6205i			1.57774i	−0.614562	+	0.788869i	$0.710667\pi$
$912$	−6.39204	−	1.55309i	−0.211662	−	0.0514281i
$913$	−0.754756	+	2.81679i	−0.0249788	+	0.0932221i
$914$	17.2409	−	30.2705i	0.570279	−	1.00126i
$915$	−19.2930	−	25.2863i	−0.637808	−	0.835939i
$916$	−8.67682	+	15.4440i	−0.286690	+	0.510284i
$917$	−8.63072	−	32.2103i	−0.285012	−	1.06368i
$918$	−21.0185	−	20.7735i	−0.693713	−	0.685628i
$919$	0.608693	−	1.05429i	0.0200789	−	0.0347777i	−0.855811	−	0.517288i	$-0.826942\pi$
$919$	0.608693	−	1.05429i	0.0200789	−	0.0347777i	0.875890	+	0.482510i	$0.160275\pi$
$920$	6.52442	+	15.1128i	0.215104	+	0.498255i
$921$	23.8096	+	41.2395i	0.784553	+	1.35889i
$922$	23.4083	+	23.1355i	0.770911	+	0.761926i
$923$	−26.6831	+	30.0853i	−0.878287	+	0.990269i
$924$	−78.7407	+	0.923090i	−2.59038	+	0.0303674i
$925$	−24.4383	−	14.2885i	−0.803527	−	0.469804i
$926$	13.2719	+	22.6795i	0.436141	+	0.745296i
$927$	−10.8781	+	2.91477i	−0.357283	+	0.0957336i
$928$	16.4012	−	17.3918i	0.538396	−	0.570915i
$929$	19.3167	+	11.1525i	0.633761	+	0.365902i	0.782207	−	0.623018i	$-0.214094\pi$
$929$	19.3167	+	11.1525i	0.633761	+	0.365902i	−0.148446	+	0.988920i	$0.547427\pi$
$930$	14.9924	−	19.6653i	0.491619	−	0.644849i
$931$		−	2.04323i		−	0.0669641i
$932$	−2.71574	−	9.67994i	−0.0889571	−	0.317077i
$933$	−1.20170	+	4.48481i	−0.0393420	+	0.146826i
$934$	−47.2779	+	27.6666i	−1.54698	+	0.905280i
$935$	47.1053	−	35.9406i	1.54051	−	1.17538i
$936$	−3.40689	−	43.9045i	−0.111358	−	1.43506i
$937$	−1.69468	+	1.69468i	−0.0553629	+	0.0553629i	−0.734246	−	0.678883i	$-0.762464\pi$
$937$	−1.69468	+	1.69468i	−0.0553629	+	0.0553629i	0.678883	+	0.734246i	$0.262464\pi$
$938$	−41.6222	−	10.8916i	−1.35901	−	0.355622i
$939$	10.4966	+	18.1807i	0.342545	+	0.593305i
$940$	−31.5011	+	4.43544i	−1.02745	+	0.144668i
$941$	−23.8569			−0.777712			−0.388856	−	0.921299i	$-0.627130\pi$
$941$	−23.8569			−0.777712			−0.388856	+	0.921299i	$0.627130\pi$
$942$	−15.0135	−	54.7456i	−0.489166	−	1.78371i
$943$	−6.26142	−	23.3680i	−0.203900	−	0.760965i
$944$	48.9541	−	1.14795i	1.59332	−	0.0373626i
$945$	−15.6798	+	20.3188i	−0.510063	+	0.660970i
$946$	−12.5087	+	7.32000i	−0.406693	+	0.237994i
$947$	4.82016	−	17.9891i	0.156634	−	0.584566i	−0.842326	−	0.538969i	$-0.818814\pi$
$947$	4.82016	−	17.9891i	0.156634	−	0.584566i	0.998960	−	0.0455977i	$-0.0145192\pi$
$948$	−12.8520	−	12.5542i	−0.417414	−	0.407741i
$949$	−14.3358	+	9.46337i	−0.465360	+	0.307194i
$950$	−2.15069	−	3.72181i	−0.0697777	−	0.120752i
$951$	−25.7387	+	14.8603i	−0.834635	+	0.481877i
$952$	51.7700	+	12.9005i	1.67788	+	0.418108i
$953$	38.0046	−	10.1833i	1.23109	−	0.329869i	0.416085	−	0.909326i	$-0.363402\pi$
$953$	38.0046	−	10.1833i	1.23109	−	0.329869i	0.815003	+	0.579456i	$0.196735\pi$
$954$	−20.9765	+	0.122951i	−0.679140	+	0.00398070i
$955$	−1.27051	+	1.64640i	−0.0411127	+	0.0532763i
$956$	−3.76187	−	2.11351i	−0.121668	−	0.0683558i
$957$	36.5515	−	36.5515i	1.18154	−	1.18154i
$958$	23.4509	−	6.43121i	0.757665	−	0.207783i
$959$	19.9601	+	34.5718i	0.644544	+	1.11638i
$960$	−45.2855	−	17.0595i	−1.46158	−	0.550595i
$961$	22.6441			0.730456
$962$	21.7104	+	19.0291i	0.699971	+	0.613524i
$963$	0.187491	−	0.187491i	0.00604181	−	0.00604181i
$964$	23.4416	−	13.9029i	0.755003	−	0.447783i
$965$	−21.6478	−	9.03638i	−0.696869	−	0.290891i
$966$	−15.8627	+	27.8507i	−0.510373	+	0.896080i
$967$	−24.2347	−	24.2347i	−0.779334	−	0.779334i	0.200383	−	0.979718i	$-0.435781\pi$
$967$	−24.2347	−	24.2347i	−0.779334	−	0.779334i	−0.979718	+	0.200383i	$0.935781\pi$
$968$	−7.36705	−	25.6793i	−0.236786	−	0.825363i
$969$	8.34599	+	4.81856i	0.268112	+	0.154794i
$970$	3.49406	−	27.1959i	0.112187	−	0.873208i
$971$	−32.1393	−	18.5556i	−1.03140	−	0.595479i	−0.114014	−	0.993479i	$-0.536371\pi$
$971$	−32.1393	−	18.5556i	−1.03140	−	0.595479i	−0.917385	+	0.398000i	$0.869704\pi$
$972$	9.72423	−	38.0710i	0.311905	−	1.22113i
$973$	6.87582	−	25.6609i	0.220429	−	0.822652i
$974$	−0.0981070	−	16.7379i	−0.00314355	−	0.536316i
$975$	32.5594	−	36.3081i	1.04273	−	1.16279i
$976$	21.0263	−	0.493058i	0.673037	−	0.0157824i
$977$	5.03733	+	1.34975i	0.161158	+	0.0431822i	0.338496	−	0.940968i	$-0.390082\pi$
$977$	5.03733	+	1.34975i	0.161158	+	0.0431822i	−0.177338	+	0.984150i	$0.556748\pi$
$978$	−27.0192	−	7.07031i	−0.863980	−	0.226083i
$979$	18.2994	−	31.6955i	0.584851	−	1.01299i
$980$	1.82802	−	14.9197i	0.0583940	−	0.476594i
$981$	−23.8335	+	41.2809i	−0.760946	+	1.31800i
$982$	8.90236	+	32.4618i	0.284086	+	1.03590i
$983$	−40.0224	+	40.0224i	−1.27652	+	1.27652i	−0.333914	+	0.942604i	$0.608370\pi$
$983$	−40.0224	+	40.0224i	−1.27652	+	1.27652i	−0.942604	+	0.333914i	$0.891630\pi$
$984$	62.2079	+	34.4718i	1.98312	+	1.09892i
$985$	−9.94826	+	23.8324i	−0.316978	+	0.759363i
$986$	−30.2275	+	17.6889i	−0.962639	+	0.563328i
$987$	−43.7987	−	43.7987i	−1.39413	−	1.39413i
$988$	1.43451	+	4.14230i	0.0456377	+	0.131784i
$989$			5.89899i			0.187577i
$990$	−57.1171	−	23.4500i	−1.81530	−	0.745290i
$991$	4.54137	−	2.62196i	0.144261	−	0.0832893i	−0.426132	−	0.904661i	$-0.640124\pi$
$991$	4.54137	−	2.62196i	0.144261	−	0.0832893i	0.570393	+	0.821372i	$0.306791\pi$
$992$	4.69322	+	15.6640i	0.149010	+	0.497333i
$993$	−63.8737	−	63.8737i	−2.02697	−	2.02697i
$994$	−25.1274	+	44.1171i	−0.796993	+	1.39931i
$995$	7.26038	+	5.60274i	0.230169	+	0.177619i
$996$	−3.48911	+	0.0409034i	−0.110557	+	0.00129607i
$997$	10.3600	+	38.6641i	0.328105	+	1.22450i	0.911153	+	0.412067i	$0.135193\pi$
$997$	10.3600	+	38.6641i	0.328105	+	1.22450i	−0.583048	+	0.812437i	$0.698140\pi$
$998$	0.710332	−	2.71454i	0.0224852	−	0.0859273i
$999$	−10.0944	−	17.4841i	−0.319373	−	0.553171i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	260.2.bj.c.3.17	✓	144
4.3	odd	2	inner	260.2.bj.c.3.23	yes	144
5.2	odd	4	inner	260.2.bj.c.107.4	yes	144
13.9	even	3	inner	260.2.bj.c.243.34	yes	144
20.7	even	4	inner	260.2.bj.c.107.34	yes	144
52.35	odd	6	inner	260.2.bj.c.243.4	yes	144
65.22	odd	12	inner	260.2.bj.c.87.23	yes	144
260.87	even	12	inner	260.2.bj.c.87.17	yes	144

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
260.2.bj.c.3.17	✓	144	1.1	even	1	trivial
260.2.bj.c.3.23	yes	144	4.3	odd	2	inner
260.2.bj.c.87.17	yes	144	260.87	even	12	inner
260.2.bj.c.87.23	yes	144	65.22	odd	12	inner
260.2.bj.c.107.4	yes	144	5.2	odd	4	inner
260.2.bj.c.107.34	yes	144	20.7	even	4	inner
260.2.bj.c.243.4	yes	144	52.35	odd	6	inner
260.2.bj.c.243.34	yes	144	13.9	even	3	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	260.bj (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.358012 + 1.36815i) q^{2} +(-2.61303 - 0.700158i) q^{3} +(-1.74365 - 0.979628i) q^{4} +(-0.297936 + 2.21613i) q^{5} +(1.89342 - 3.32434i) q^{6} +(-3.10919 + 0.833104i) q^{7} +(1.96452 - 2.03486i) q^{8} +(3.73961 + 2.15907i) q^{9} +O(q^{10})\)	\(q+(-0.358012 + 1.36815i) q^{2} +(-2.61303 - 0.700158i) q^{3} +(-1.74365 - 0.979628i) q^{4} +(-0.297936 + 2.21613i) q^{5} +(1.89342 - 3.32434i) q^{6} +(-3.10919 + 0.833104i) q^{7} +(1.96452 - 2.03486i) q^{8} +(3.73961 + 2.15907i) q^{9} +(-2.92533 - 1.20102i) q^{10} +(3.91586 - 2.26082i) q^{11} +(3.87032 + 3.78063i) q^{12} +(0.723169 - 3.53228i) q^{13} +(-0.0266815 - 4.55209i) q^{14} +(2.33016 - 5.58221i) q^{15} +(2.08066 + 3.41626i) q^{16} +(-1.51673 - 5.66051i) q^{17} +(-4.29275 + 4.34337i) q^{18} +(0.303952 - 0.526460i) q^{19} +(2.69048 - 3.57230i) q^{20} +8.70769 q^{21} +(1.69121 + 6.16687i) q^{22} +(2.51403 + 0.673633i) q^{23} +(-6.55808 + 3.94166i) q^{24} +(-4.82247 - 1.32053i) q^{25} +(4.57378 + 2.25400i) q^{26} +(-2.52141 - 2.52141i) q^{27} +(6.23748 + 1.59320i) q^{28} +(-3.65978 + 2.11297i) q^{29} +(6.80305 + 5.18650i) q^{30} -2.89065i q^{31} +(-5.41885 + 1.62358i) q^{32} +(-11.8152 + 3.16586i) q^{33} +(8.28742 - 0.0485757i) q^{34} +(-0.919927 - 7.13857i) q^{35} +(-4.40551 - 7.42809i) q^{36} +(5.46886 + 1.46538i) q^{37} +(0.611457 + 0.604331i) q^{38} +(-4.36282 + 8.72362i) q^{39} +(3.92420 + 4.95990i) q^{40} +(-4.64751 - 8.04972i) q^{41} +(-3.11746 + 11.9134i) q^{42} +(0.586607 + 2.18925i) q^{43} +(-9.04266 + 0.106009i) q^{44} +(-5.89894 + 7.64420i) q^{45} +(-1.82168 + 3.19840i) q^{46} +(-5.02989 - 5.02989i) q^{47} +(-3.04489 - 10.3836i) q^{48} +(2.91080 - 1.68055i) q^{49} +(3.53319 - 6.12508i) q^{50} +15.8530i q^{51} +(-4.72128 + 5.45064i) q^{52} +(2.42893 + 2.42893i) q^{53} +(4.35236 - 2.54696i) q^{54} +(3.84360 + 9.35163i) q^{55} +(-4.41283 + 7.96340i) q^{56} +(-1.16284 + 1.16284i) q^{57} +(-1.58061 - 5.76358i) q^{58} +(6.12094 - 10.6018i) q^{59} +(-9.53147 + 7.45075i) q^{60} +(2.62901 - 4.55359i) q^{61} +(3.95484 + 1.03489i) q^{62} +(-13.4259 - 3.59745i) q^{63} +(-0.281285 - 7.99505i) q^{64} +(7.61254 + 2.65503i) q^{65} +(-0.101392 - 17.2983i) q^{66} +(2.44616 - 9.12920i) q^{67} +(-2.90054 + 11.3558i) q^{68} +(-6.09758 - 3.52044i) q^{69} +(10.0960 + 1.29710i) q^{70} +(-9.65894 - 5.57659i) q^{71} +(11.7399 - 3.36804i) q^{72} +(-3.36881 - 3.36881i) q^{73} +(-3.96277 + 6.95758i) q^{74} +(11.6767 + 6.82708i) q^{75} +(-1.04572 + 0.620205i) q^{76} +(-10.2916 + 10.2916i) q^{77} +(-10.3733 - 9.09214i) q^{78} -3.32066 q^{79} +(-8.19079 + 3.59318i) q^{80} +(-1.65407 - 2.86493i) q^{81} +(12.6771 - 3.47657i) q^{82} +(-0.456036 + 0.456036i) q^{83} +(-15.1832 - 8.53030i) q^{84} +(12.9963 - 1.67480i) q^{85} +(-3.20522 + 0.0187870i) q^{86} +(11.0425 - 2.95883i) q^{87} +(3.09235 - 12.4096i) q^{88} +(7.00973 - 4.04707i) q^{89} +(-8.34650 - 10.8073i) q^{90} +(0.694291 + 11.5850i) q^{91} +(-3.72369 - 3.63740i) q^{92} +(-2.02391 + 7.55335i) q^{93} +(8.68239 - 5.08086i) q^{94} +(1.07615 + 0.830449i) q^{95} +(15.2964 - 0.448413i) q^{96} +(2.24417 + 8.37534i) q^{97} +(1.25714 + 4.58406i) q^{98} +19.5250 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 144 q - 6 q^{2} - 24 q^{5} - 4 q^{6} - 24 q^{8}+O(q^{10}) \) 144 * q - 6 * q^2 - 24 * q^5 - 4 * q^6 - 24 * q^8	\( 144 q - 6 q^{2} - 24 q^{5} - 4 q^{6} - 24 q^{8} - 16 q^{10} + 20 q^{12} - 12 q^{13} - 28 q^{16} - 4 q^{18} + 30 q^{20} - 32 q^{21} - 28 q^{22} - 24 q^{25} - 12 q^{26} + 14 q^{28} - 4 q^{30} + 4 q^{32} - 28 q^{33} + 4 q^{36} + 20 q^{40} + 24 q^{41} - 56 q^{42} - 4 q^{46} + 12 q^{48} + 20 q^{50} - 2 q^{52} + 24 q^{53} - 20 q^{56} - 24 q^{57} - 42 q^{58} + 88 q^{60} - 32 q^{61} - 128 q^{66} - 32 q^{68} + 108 q^{70} + 2 q^{72} - 8 q^{73} + 60 q^{76} - 72 q^{77} - 120 q^{78} - 64 q^{80} - 32 q^{81} - 42 q^{82} - 48 q^{85} - 24 q^{86} - 42 q^{88} - 56 q^{90} - 84 q^{92} + 8 q^{93} + 160 q^{96} + 68 q^{97} + 98 q^{98}+O(q^{100}) \) 144 * q - 6 * q^2 - 24 * q^5 - 4 * q^6 - 24 * q^8 - 16 * q^10 + 20 * q^12 - 12 * q^13 - 28 * q^16 - 4 * q^18 + 30 * q^20 - 32 * q^21 - 28 * q^22 - 24 * q^25 - 12 * q^26 + 14 * q^28 - 4 * q^30 + 4 * q^32 - 28 * q^33 + 4 * q^36 + 20 * q^40 + 24 * q^41 - 56 * q^42 - 4 * q^46 + 12 * q^48 + 20 * q^50 - 2 * q^52 + 24 * q^53 - 20 * q^56 - 24 * q^57 - 42 * q^58 + 88 * q^60 - 32 * q^61 - 128 * q^66 - 32 * q^68 + 108 * q^70 + 2 * q^72 - 8 * q^73 + 60 * q^76 - 72 * q^77 - 120 * q^78 - 64 * q^80 - 32 * q^81 - 42 * q^82 - 48 * q^85 - 24 * q^86 - 42 * q^88 - 56 * q^90 - 84 * q^92 + 8 * q^93 + 160 * q^96 + 68 * q^97 + 98 * q^98

Introduction

L-functions

Modular forms

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Database

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