LMFDB - Embedded newform 507.2.p.a.25.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [507,2,Mod(25,507)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(507, base_ring=CyclotomicField(26))

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

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

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

chi := DirichletCharacter("507.25");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 507 = 3 \cdot 13^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	507.p (of order $26$, degree $12$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$4.04841538248$
Analytic rank:	$0$
Dimension:	$168$
Relative dimension:	$14$ over $\Q(\zeta_{26})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{26}]$

Embedding invariants

Embedding label			25.5
Character	$\chi$	$=$	507.25
Dual form			507.2.p.a.142.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.911757 - 0.345784i) q^{2} +(0.568065 + 0.822984i) q^{3} +(-0.785288 - 0.695704i) q^{4} +(2.27932 + 0.276760i) q^{5} +(-0.233362 - 0.946788i) q^{6} +(1.78194 + 3.39521i) q^{7} +(1.38175 + 2.63271i) q^{8} +(-0.354605 + 0.935016i) q^{9} +(-1.98249 - 1.04049i) q^{10} +(-0.0539466 + 0.0204593i) q^{11} +(0.126459 - 1.04148i) q^{12} +(-1.20767 - 3.39728i) q^{13} +(-0.450690 - 3.71177i) q^{14} +(1.06703 + 2.03306i) q^{15} +(-0.0965561 - 0.795211i) q^{16} +(-4.90759 + 2.57570i) q^{17} +(0.646627 - 0.729891i) q^{18} +6.27486i q^{19} +(-1.59738 - 1.80307i) q^{20} +(-1.78194 + 3.39521i) q^{21} +0.0562607 q^{22} +3.51596 q^{23} +(-1.38175 + 2.63271i) q^{24} +(0.263995 + 0.0650689i) q^{25} +(-0.0736285 + 3.51509i) q^{26} +(-0.970942 + 0.239316i) q^{27} +(0.962722 - 3.90592i) q^{28} +(2.75100 - 7.25379i) q^{29} +(-0.269875 - 2.22262i) q^{30} +(1.70007 + 6.89744i) q^{31} +(1.23617 - 5.01534i) q^{32} +(-0.0474828 - 0.0327750i) q^{33} +(5.36517 - 0.651449i) q^{34} +(3.12196 + 8.23193i) q^{35} +(0.928962 - 0.487557i) q^{36} +(1.92301 + 7.80196i) q^{37} +(2.16974 - 5.72114i) q^{38} +(2.10988 - 2.92377i) q^{39} +(2.42083 + 6.38320i) q^{40} +(8.26566 - 5.70537i) q^{41} +(2.79870 - 2.47944i) q^{42} +(-1.62225 - 0.399848i) q^{43} +(0.0565972 + 0.0214645i) q^{44} +(-1.06703 + 2.03306i) q^{45} +(-3.20570 - 1.21576i) q^{46} +(2.41926 + 2.73079i) q^{47} +(0.599595 - 0.531195i) q^{48} +(-4.37566 + 6.33923i) q^{49} +(-0.218199 - 0.150612i) q^{50} +(-4.90759 - 2.57570i) q^{51} +(-1.41514 + 3.50802i) q^{52} +(-3.03124 + 1.59092i) q^{53} +(0.968014 + 0.117538i) q^{54} +(-0.128624 + 0.0317030i) q^{55} +(-6.47639 + 9.38267i) q^{56} +(-5.16410 + 3.56452i) q^{57} +(-5.01648 + 5.66244i) q^{58} +(-3.83224 - 0.465318i) q^{59} +(0.576481 - 2.33888i) q^{60} +(10.9982 + 5.77228i) q^{61} +(0.834976 - 6.87665i) q^{62} +(-3.80646 + 0.462188i) q^{63} +(-3.77141 + 5.46383i) q^{64} +(-1.81243 - 8.07773i) q^{65} +(0.0319597 + 0.0463016i) q^{66} +(-2.39165 - 2.69961i) q^{67} +(5.64580 + 1.39156i) q^{68} +(1.99729 + 2.89358i) q^{69} -8.58504i q^{70} +(7.11787 - 4.91311i) q^{71} +(-2.95160 + 0.358390i) q^{72} +(-9.89374 + 3.75220i) q^{73} +(0.944473 - 7.77843i) q^{74} +(0.0964155 + 0.254227i) q^{75} +(4.36544 - 4.92757i) q^{76} +(-0.165593 - 0.146703i) q^{77} +(-2.93469 + 1.93620i) q^{78} +(10.5509 - 9.34727i) q^{79} -1.83926i q^{80} +(-0.748511 - 0.663123i) q^{81} +(-9.50909 + 2.34378i) q^{82} +(-2.75551 - 1.90199i) q^{83} +(3.76140 - 1.42651i) q^{84} +(-11.8988 + 4.51263i) q^{85} +(1.34083 + 0.925510i) q^{86} +(7.53249 - 1.85659i) q^{87} +(-0.128404 - 0.113756i) q^{88} -15.4794i q^{89} +(1.67587 - 1.48469i) q^{90} +(9.38249 - 10.1540i) q^{91} +(-2.76104 - 2.44607i) q^{92} +(-4.71074 + 5.31732i) q^{93} +(-1.26152 - 3.32635i) q^{94} +(-1.73663 + 14.3024i) q^{95} +(4.82977 - 1.83169i) q^{96} +(3.45109 - 0.419038i) q^{97} +(6.18153 - 4.26681i) q^{98} -0.0576959i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q - 14 q^{3} + 12 q^{4} - 14 q^{9} - 4 q^{10} + 12 q^{12} + 13 q^{13} + 2 q^{14} - 8 q^{16} - 4 q^{17} - 72 q^{22} + 48 q^{23} - 44 q^{25} - 39 q^{26} - 14 q^{27} + 45 q^{29} - 4 q^{30} - 26 q^{31}+ \cdots - 104 q^{98}+O(q^{100}) $ 168 * q - 14 * q^3 + 12 * q^4 - 14 * q^9 - 4 * q^10 + 12 * q^12 + 13 * q^13 + 2 * q^14 - 8 * q^16 - 4 * q^17 - 72 * q^22 + 48 * q^23 - 44 * q^25 - 39 * q^26 - 14 * q^27 + 45 * q^29 - 4 * q^30 - 26 * q^31 + 130 * q^32 + 13 * q^33 - 65 * q^34 - 35 * q^35 + 12 * q^36 + 61 * q^38 + 12 * q^40 - 63 * q^42 + 72 * q^43 - 39 * q^44 - 8 * q^48 - 68 * q^49 - 52 * q^50 - 4 * q^51 + 65 * q^52 - q^53 + 53 * q^55 - 14 * q^56 - 13 * q^57 - 26 * q^58 - 104 * q^59 + 117 * q^60 + 12 * q^61 + 49 * q^62 - 32 * q^64 - 52 * q^65 - 46 * q^66 + 26 * q^67 - 84 * q^68 - 4 * q^69 - 39 * q^71 - 52 * q^73 + 29 * q^74 + 8 * q^75 - 130 * q^76 + 60 * q^77 + 65 * q^78 + 14 * q^79 - 14 * q^81 + 45 * q^82 + 78 * q^83 - 13 * q^85 - 13 * q^86 - 46 * q^87 - 26 * q^88 - 4 * q^90 - 208 * q^91 + 82 * q^92 - 39 * q^93 + 25 * q^94 - 66 * q^95 + 65 * q^96 + 26 * q^97 - 104 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/507\mathbb{Z}\right)^\times$.

$n$	$170$	$340$
$\chi(n)$	$1$	$e\left(\frac{3}{26}\right)$

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 $

$2$	−0.911757	−	0.345784i	−0.644709	−	0.244506i	0.0105100	−	0.999945i	$-0.496655\pi$
$2$	−0.911757	−	0.345784i	−0.644709	−	0.244506i	−0.655219	+	0.755439i	$0.727424\pi$
$3$	0.568065	+	0.822984i	0.327972	+	0.475150i
$3$	0.568065	+	0.822984i	0.327972	+	0.475150i
$4$	−0.785288	−	0.695704i	−0.392644	−	0.347852i
$5$	2.27932	+	0.276760i	1.01934	+	0.123771i	0.613109	−	0.789998i	$-0.289919\pi$
$5$	2.27932	+	0.276760i	1.01934	+	0.123771i	0.406234	+	0.913769i	$0.366842\pi$
$6$	−0.233362	−	0.946788i	−0.0952698	−	0.386525i
$7$	1.78194	+	3.39521i	0.673511	+	1.28327i	0.946951	+	0.321378i	$0.104146\pi$
$7$	1.78194	+	3.39521i	0.673511	+	1.28327i	−0.273440	+	0.961889i	$0.588162\pi$
$8$	1.38175	+	2.63271i	0.488524	+	0.930804i
$9$	−0.354605	+	0.935016i	−0.118202	+	0.311672i
$10$	−1.98249	−	1.04049i	−0.626917	−	0.329031i
$11$	−0.0539466	+	0.0204593i	−0.0162655	+	0.00616870i	−0.362724	−	0.931897i	$-0.618153\pi$
$11$	−0.0539466	+	0.0204593i	−0.0162655	+	0.00616870i	0.346459	+	0.938065i	$0.387384\pi$
$12$	0.126459	−	1.04148i	0.0365056	−	0.300651i
$13$	−1.20767	−	3.39728i	−0.334946	−	0.942237i
$13$	−1.20767	−	3.39728i	−0.334946	−	0.942237i
$14$	−0.450690	−	3.71177i	−0.120452	−	0.992012i
$15$	1.06703	+	2.03306i	0.275507	+	0.524934i
$16$	−0.0965561	−	0.795211i	−0.0241390	−	0.198803i
$17$	−4.90759	+	2.57570i	−1.19027	+	0.624700i	−0.939234	−	0.343279i	$-0.888462\pi$
$17$	−4.90759	+	2.57570i	−1.19027	+	0.624700i	−0.251033	+	0.967979i	$0.580770\pi$
$18$	0.646627	−	0.729891i	0.152411	−	0.172037i
$19$			6.27486i			1.43955i	0.694207	+	0.719775i	$0.255755\pi$
$19$			6.27486i			1.43955i	−0.694207	+	0.719775i	$0.744245\pi$
$20$	−1.59738	−	1.80307i	−0.357185	−	0.403178i
$21$	−1.78194	+	3.39521i	−0.388852	+	0.740895i
$22$	0.0562607			0.0119948
$23$	3.51596			0.733128			0.366564	−	0.930393i	$-0.380534\pi$
$23$	3.51596			0.733128			0.366564	+	0.930393i	$0.380534\pi$
$24$	−1.38175	+	2.63271i	−0.282049	+	0.537400i
$25$	0.263995	+	0.0650689i	0.0527990	+	0.0130138i
$26$	−0.0736285	+	3.51509i	−0.0144397	+	0.689365i
$27$	−0.970942	+	0.239316i	−0.186858	+	0.0460563i
$28$	0.962722	−	3.90592i	0.181937	−	0.738149i
$29$	2.75100	−	7.25379i	0.510848	−	1.34699i	−0.393157	−	0.919471i	$-0.628617\pi$
$29$	2.75100	−	7.25379i	0.510848	−	1.34699i	0.904004	−	0.427523i	$-0.140614\pi$
$30$	−0.269875	−	2.22262i	−0.0492722	−	0.405793i
$31$	1.70007	+	6.89744i	0.305341	+	1.23882i	0.900374	+	0.435116i	$0.143293\pi$
$31$	1.70007	+	6.89744i	0.305341	+	1.23882i	−0.595033	+	0.803701i	$0.702861\pi$
$32$	1.23617	−	5.01534i	0.218526	−	0.886596i
$33$	−0.0474828	−	0.0327750i	−0.00826570	−	0.00570540i
$34$	5.36517	−	0.651449i	0.920118	−	0.111723i
$35$	3.12196	+	8.23193i	0.527707	+	1.39145i
$36$	0.928962	−	0.487557i	0.154827	−	0.0812595i
$37$	1.92301	+	7.80196i	0.316141	+	1.28263i	0.887070	+	0.461635i	$0.152737\pi$
$37$	1.92301	+	7.80196i	0.316141	+	1.28263i	−0.570929	+	0.820999i	$0.693417\pi$
$38$	2.16974	−	5.72114i	0.351979	−	0.928092i
$39$	2.10988	−	2.92377i	0.337851	−	0.468177i
$40$	2.42083	+	6.38320i	0.382767	+	1.00927i
$41$	8.26566	−	5.70537i	1.29088	−	0.891029i	0.292999	−	0.956113i	$-0.405347\pi$
$41$	8.26566	−	5.70537i	1.29088	−	0.891029i	0.997880	+	0.0650833i	$0.0207313\pi$
$42$	2.79870	−	2.47944i	0.431849	−	0.382585i
$43$	−1.62225	−	0.399848i	−0.247390	−	0.0609762i	0.113671	−	0.993519i	$-0.463739\pi$
$43$	−1.62225	−	0.399848i	−0.247390	−	0.0609762i	−0.361061	+	0.932542i	$0.617585\pi$
$44$	0.0565972	+	0.0214645i	0.00853235	+	0.00323589i
$45$	−1.06703	+	2.03306i	−0.159064	+	0.303071i
$46$	−3.20570	−	1.21576i	−0.472654	−	0.179254i
$47$	2.41926	+	2.73079i	0.352886	+	0.398326i	0.897971	−	0.440055i	$-0.145041\pi$
$47$	2.41926	+	2.73079i	0.352886	+	0.398326i	−0.545085	+	0.838381i	$0.683503\pi$
$48$	0.599595	−	0.531195i	0.0865441	−	0.0766714i
$49$	−4.37566	+	6.33923i	−0.625094	+	0.905604i
$50$	−0.218199	−	0.150612i	−0.0308580	−	0.0212998i
$51$	−4.90759	−	2.57570i	−0.687200	−	0.360671i
$52$	−1.41514	+	3.50802i	−0.196245	+	0.486475i
$53$	−3.03124	+	1.59092i	−0.416373	+	0.218530i	−0.659882	−	0.751369i	$-0.729394\pi$
$53$	−3.03124	+	1.59092i	−0.416373	+	0.218530i	0.243509	+	0.969899i	$0.421702\pi$
$54$	0.968014	+	0.117538i	0.131730	+	0.0159949i
$55$	−0.128624	+	0.0317030i	−0.0173436	+	0.00427483i
$56$	−6.47639	+	9.38267i	−0.865444	+	1.25381i
$57$	−5.16410	+	3.56452i	−0.684002	+	0.472133i
$58$	−5.01648	+	5.66244i	−0.658696	+	0.743514i
$59$	−3.83224	−	0.465318i	−0.498915	−	0.0605793i	−0.132789	−	0.991144i	$-0.542393\pi$
$59$	−3.83224	−	0.465318i	−0.498915	−	0.0605793i	−0.366127	+	0.930565i	$0.619316\pi$
$60$	0.576481	−	2.33888i	0.0744234	−	0.301948i
$61$	10.9982	+	5.77228i	1.40817	+	0.739065i	0.985889	−	0.167399i	$-0.0535369\pi$
$61$	10.9982	+	5.77228i	1.40817	+	0.739065i	0.422282	+	0.906465i	$0.361229\pi$
$62$	0.834976	−	6.87665i	0.106042	−	0.873335i
$63$	−3.80646	+	0.462188i	−0.479569	+	0.0582302i
$64$	−3.77141	+	5.46383i	−0.471426	+	0.682979i
$65$	−1.81243	−	8.07773i	−0.224804	−	1.00192i
$66$	0.0319597	+	0.0463016i	0.00393397	+	0.00569934i
$67$	−2.39165	−	2.69961i	−0.292186	−	0.329810i	0.584027	−	0.811735i	$-0.301476\pi$
$67$	−2.39165	−	2.69961i	−0.292186	−	0.329810i	−0.876213	+	0.481925i	$0.839938\pi$
$68$	5.64580	+	1.39156i	0.684654	+	0.168752i
$69$	1.99729	+	2.89358i	0.240446	+	0.348346i
$70$		−	8.58504i		−	1.02611i
$71$	7.11787	−	4.91311i	0.844736	−	0.583079i	−0.0651793	−	0.997874i	$-0.520762\pi$
$71$	7.11787	−	4.91311i	0.844736	−	0.583079i	0.909915	+	0.414795i	$0.136147\pi$
$72$	−2.95160	+	0.358390i	−0.347850	+	0.0422366i
$73$	−9.89374	+	3.75220i	−1.15798	+	0.439162i	−0.857427	−	0.514605i	$-0.827939\pi$
$73$	−9.89374	+	3.75220i	−1.15798	+	0.439162i	−0.300548	+	0.953767i	$0.597169\pi$
$74$	0.944473	−	7.77843i	0.109793	−	0.904224i
$75$	0.0964155	+	0.254227i	0.0111331	+	0.0293556i
$76$	4.36544	−	4.92757i	0.500751	−	0.565231i
$77$	−0.165593	−	0.146703i	−0.0188711	−	0.0167183i
$78$	−2.93469	+	1.93620i	−0.332288	+	0.219232i
$79$	10.5509	−	9.34727i	1.18707	−	1.05165i	0.189504	−	0.981880i	$-0.439312\pi$
$79$	10.5509	−	9.34727i	1.18707	−	1.05165i	0.997563	−	0.0697696i	$-0.0222264\pi$
$80$		−	1.83926i		−	0.205636i
$81$	−0.748511	−	0.663123i	−0.0831679	−	0.0736803i
$82$	−9.50909	+	2.34378i	−1.05010	+	0.258827i
$83$	−2.75551	−	1.90199i	−0.302456	−	0.208771i	0.407164	−	0.913355i	$-0.366518\pi$
$83$	−2.75551	−	1.90199i	−0.302456	−	0.208771i	−0.709620	+	0.704585i	$0.751133\pi$
$84$	3.76140	−	1.42651i	0.410402	−	0.155645i
$85$	−11.8988	+	4.51263i	−1.29061	+	0.489463i
$86$	1.34083	+	0.925510i	0.144586	+	0.0998004i
$87$	7.53249	−	1.85659i	0.807568	−	0.199048i
$88$	−0.128404	−	0.113756i	−0.0136879	−	0.0121265i
$89$		−	15.4794i		−	1.64081i	−0.571783	−	0.820405i	$-0.693748\pi$
$89$		−	15.4794i		−	1.64081i	0.571783	−	0.820405i	$-0.306252\pi$
$90$	1.67587	−	1.48469i	0.176653	−	0.156501i
$91$	9.38249	−	10.1540i	0.983552	−	1.06443i
$92$	−2.76104	−	2.44607i	−0.287858	−	0.255020i
$93$	−4.71074	+	5.31732i	−0.488481	+	0.551381i
$94$	−1.26152	−	3.32635i	−0.130116	−	0.343087i
$95$	−1.73663	+	14.3024i	−0.178174	+	1.46740i
$96$	4.82977	−	1.83169i	0.492936	−	0.186946i
$97$	3.45109	−	0.419038i	0.350405	−	0.0425469i	0.0565579	−	0.998399i	$-0.481987\pi$
$97$	3.45109	−	0.419038i	0.350405	−	0.0425469i	0.293847	+	0.955852i	$0.405064\pi$
$98$	6.18153	−	4.26681i	0.624429	−	0.431012i
$99$		−	0.0576959i		−	0.00579866i
$100$	−0.162043	−	0.234760i	−0.0162043	−	0.0234760i
$101$	−1.97747	−	0.487402i	−0.196766	−	0.0484984i	0.139701	−	0.990194i	$-0.455386\pi$
$101$	−1.97747	−	0.487402i	−0.196766	−	0.0484984i	−0.336467	+	0.941695i	$0.609232\pi$
$102$	3.58389	+	4.04538i	0.354858	+	0.400552i
$103$	−8.26110	−	11.9683i	−0.813990	−	1.17927i	−0.981133	−	0.193336i	$-0.938069\pi$
$103$	−8.26110	−	11.9683i	−0.813990	−	1.17927i	0.167142	−	0.985933i	$-0.446546\pi$
$104$	7.27537	−	7.87364i	0.713409	−	0.772074i
$105$	−5.00127	+	7.24559i	−0.488074	+	0.707097i
$106$	3.31387	−	0.402377i	0.321872	−	0.0390823i
$107$	1.26971	−	10.4570i	0.122748	−	1.01092i	−0.793017	−	0.609200i	$-0.791491\pi$
$107$	1.26971	−	10.4570i	0.122748	−	1.01092i	0.915764	−	0.401717i	$-0.131586\pi$
$108$	0.928962	+	0.487557i	0.0893894	+	0.0469152i
$109$	0.717329	−	2.91032i	0.0687076	−	0.278758i	−0.926532	−	0.376216i	$-0.877225\pi$
$109$	0.717329	−	2.91032i	0.0687076	−	0.278758i	0.995240	+	0.0974582i	$0.0310712\pi$
$110$	0.128236	+	0.0155707i	0.0122268	+	0.00148461i
$111$	−5.32849	+	6.01462i	−0.505758	+	0.570883i
$112$	2.52785	−	1.74485i	0.238859	−	0.164873i
$113$	−5.73111	+	8.30295i	−0.539137	+	0.781075i	−0.993988	−	0.109493i	$-0.965077\pi$
$113$	−5.73111	+	8.30295i	−0.539137	+	0.781075i	0.454850	+	0.890568i	$0.349693\pi$
$114$	5.94096	−	1.46432i	0.556422	−	0.137146i
$115$	8.01399	+	0.973075i	0.747309	+	0.0907397i
$116$	−7.20682	+	3.78243i	−0.669136	+	0.351190i
$117$	3.60476	+	0.0755068i	0.333260	+	0.00698061i
$118$	3.33317	+	1.74938i	0.306843	+	0.161044i
$119$	−17.4901	−	12.0725i	−1.60331	−	1.10669i
$120$	−3.87809	+	5.61838i	−0.354019	+	0.512885i
$121$	−8.23113	+	7.29214i	−0.748284	+	0.662922i
$122$	−8.03169	−	9.06590i	−0.727155	−	0.820788i
$123$	9.39086	+	3.56148i	0.846745	+	0.321128i
$124$	3.46354	−	6.59922i	0.311035	−	0.592628i
$125$	−10.1506	−	3.84960i	−0.907893	−	0.344318i
$126$	3.63038	+	0.894808i	0.323420	+	0.0797159i
$127$	−1.65813	+	1.46897i	−0.147135	+	0.130350i	−0.733480	−	0.679712i	$-0.762105\pi$
$127$	−1.65813	+	1.46897i	−0.147135	+	0.130350i	0.586344	+	0.810062i	$0.300567\pi$
$128$	−3.17424	+	2.19102i	−0.280566	+	0.193661i
$129$	−0.592473	−	1.56222i	−0.0521643	−	0.137546i
$130$	−1.14066	+	7.99163i	−0.100042	+	0.700913i
$131$	−0.248315	+	0.654754i	−0.0216954	+	0.0572061i	−0.945426	−	0.325836i	$-0.894354\pi$
$131$	−0.248315	+	0.654754i	−0.0216954	+	0.0572061i	0.923731	+	0.383042i	$0.125124\pi$
$132$	0.0144860	+	0.0587718i	0.00126084	+	0.00511543i
$133$	−21.3044	+	11.1814i	−1.84733	+	0.969553i
$134$	1.24712	+	3.28838i	0.107735	+	0.284073i
$135$	−2.27932	+	0.276760i	−0.196173	+	0.0238197i
$136$	−13.5622	−	9.36129i	−1.16295	−	0.802724i
$137$	4.88924	−	19.8364i	0.417716	−	1.69474i	−0.265157	−	0.964205i	$-0.585424\pi$
$137$	4.88924	−	19.8364i	0.417716	−	1.69474i	0.682874	−	0.730537i	$-0.260730\pi$
$138$	−0.820492	−	3.32887i	−0.0698450	−	0.283372i
$139$	1.76448	+	14.5318i	0.149661	+	1.23257i	0.853074	+	0.521789i	$0.174735\pi$
$139$	1.76448	+	14.5318i	0.149661	+	1.23257i	−0.703413	+	0.710781i	$0.748342\pi$
$140$	3.27535	−	8.63640i	0.276818	−	0.729909i
$141$	−0.873093	+	3.54228i	−0.0735277	+	0.298314i
$142$	−8.18864	+	2.01832i	−0.687175	+	0.169373i
$143$	0.134655	+	0.158564i	0.0112605	+	0.0132598i
$144$	0.777774	+	0.191704i	0.0648145	+	0.0159753i
$145$	8.27796	−	15.7723i	0.687447	−	1.30982i
$146$	10.3181			0.853935
$147$	−7.70274			−0.635311
$148$	3.91774	−	7.46463i	0.322036	−	0.613589i
$149$	2.41896	+	2.73044i	0.198169	+	0.223687i	0.839192	−	0.543835i	$-0.183028\pi$
$149$	2.41896	+	2.73044i	0.198169	+	0.223687i	−0.641023	+	0.767522i	$0.721490\pi$
$150$		−	0.265132i		−	0.0216479i
$151$	11.7390	−	13.2505i	0.955303	−	1.07831i	−0.0415578	−	0.999136i	$-0.513232\pi$
$151$	11.7390	−	13.2505i	0.955303	−	1.07831i	0.996861	−	0.0791777i	$-0.0252295\pi$
$152$	−16.5199	+	8.67030i	−1.33994	+	0.703254i
$153$	−0.668068	−	5.50204i	−0.0540101	−	0.444813i
$154$	0.100253	+	0.191017i	0.00807864	+	0.0153926i
$155$	1.96606	+	16.1920i	0.157918	+	1.30057i
$156$	−3.69094	+	0.828147i	−0.295512	+	0.0663048i
$157$	0.554368	−	4.56563i	0.0442434	−	0.364377i	−0.953726	−	0.300678i	$-0.902787\pi$
$157$	0.554368	−	4.56563i	0.0442434	−	0.364377i	0.997969	−	0.0636992i	$-0.0202898\pi$
$158$	−12.8520	+	4.87411i	−1.02245	+	0.387763i
$159$	−3.03124	−	1.59092i	−0.240393	−	0.126168i
$160$	4.20567	−	11.0894i	0.332488	−	0.876698i
$161$	6.26523	+	11.9374i	0.493770	+	0.940799i
$162$	0.453163	+	0.863429i	0.0356038	+	0.0678374i
$163$	−3.67923	−	14.9272i	−0.288179	−	1.16919i	−0.919317	−	0.393519i	$-0.871258\pi$
$163$	−3.67923	−	14.9272i	−0.288179	−	1.16919i	0.631137	−	0.775671i	$-0.282588\pi$
$164$	−10.4602	−	1.27009i	−0.816802	−	0.0991778i
$165$	−0.0991577	−	0.0878461i	−0.00771942	−	0.00683881i
$166$	1.85468	+	2.68696i	0.143951	+	0.208549i
$167$	18.4683	+	7.00412i	1.42912	+	0.541995i	0.943264	−	0.332042i	$-0.107738\pi$
$167$	18.4683	+	7.00412i	1.42912	+	0.541995i	0.485859	+	0.874037i	$0.338507\pi$
$168$	−11.4008			−0.879591
$169$	−10.0831	+	8.20557i	−0.775622	+	0.631198i
$170$	12.4092			0.951744
$171$	−5.86709	−	2.22509i	−0.448668	−	0.170157i
$172$	0.995755	+	1.44260i	0.0759256	+	0.109997i
$173$	5.55983	+	4.92558i	0.422706	+	0.374485i	0.847491	−	0.530809i	$-0.178112\pi$
$173$	5.55983	+	4.92558i	0.422706	+	0.374485i	−0.424785	+	0.905294i	$0.639650\pi$
$174$	−7.50978	−	0.911853i	−0.569315	−	0.0691274i
$175$	0.249501	+	1.01227i	0.0188605	+	0.0765201i
$176$	0.0214783	+	0.0409235i	0.00161899	+	0.00308472i
$177$	−1.79401	−	3.41820i	−0.134846	−	0.256928i
$178$	−5.35251	+	14.1134i	−0.401188	+	1.05785i
$179$	0.573905	+	0.301209i	0.0428957	+	0.0225134i	0.486035	−	0.873940i	$-0.338443\pi$
$179$	0.573905	+	0.301209i	0.0428957	+	0.0225134i	−0.443139	+	0.896453i	$0.646135\pi$
$180$	2.25234	−	0.854199i	0.167879	−	0.0636682i
$181$	0.441933	−	3.63965i	0.0328486	−	0.270533i	−0.967026	−	0.254679i	$-0.918030\pi$
$181$	0.441933	−	3.63965i	0.0328486	−	0.270533i	0.999874	−	0.0158540i	$-0.00504669\pi$
$182$	−12.0656	+	6.01370i	−0.894365	+	0.445765i
$183$	1.49718	+	12.3303i	0.110674	+	0.911485i
$184$	4.85819	+	9.25650i	0.358150	+	0.682398i
$185$	2.22389	+	18.3154i	0.163504	+	1.34657i
$186$	6.13369	−	3.21921i	0.449744	−	0.236044i
$187$	0.212051	−	0.239356i	0.0155067	−	0.0175035i
$188$		−	3.82755i		−	0.279152i
$189$	−2.54269	−	2.87010i	−0.184953	−	0.208769i
$190$	6.52892	−	12.4398i	0.473657	−	0.902479i
$191$	−1.93249			−0.139830			−0.0699149	−	0.997553i	$-0.522273\pi$
$191$	−1.93249			−0.139830			−0.0699149	+	0.997553i	$0.522273\pi$
$192$	−6.63905			−0.479132
$193$	5.72884	−	10.9154i	0.412371	−	0.785708i	−0.587350	−	0.809333i	$-0.699829\pi$
$193$	5.72884	−	10.9154i	0.412371	−	0.785708i	0.999721	+	0.0236257i	$0.00752099\pi$
$194$	−3.29145	−	0.811269i	−0.236312	−	0.0582457i
$195$	5.61827	−	6.08027i	0.402333	−	0.435417i
$196$	7.84638	−	1.93396i	0.560456	−	0.138140i
$197$	−2.54838	+	10.3392i	−0.181564	+	0.736636i	0.807588	+	0.589747i	$0.200772\pi$
$197$	−2.54838	+	10.3392i	−0.181564	+	0.736636i	−0.989153	+	0.146890i	$0.953074\pi$
$198$	−0.0199503	+	0.0526046i	−0.00141781	+	0.00373845i
$199$	−2.98542	−	24.5871i	−0.211630	−	1.74293i	−0.581227	−	0.813741i	$-0.697427\pi$
$199$	−2.98542	−	24.5871i	−0.211630	−	1.74293i	0.369597	−	0.929192i	$-0.379496\pi$
$200$	0.193468	+	0.784931i	0.0136803	+	0.0555030i
$201$	0.863126	−	3.50184i	0.0608802	−	0.247001i
$202$	1.63444	+	1.12817i	0.114998	+	0.0793777i
$203$	29.5302	−	3.58562i	2.07262	−	0.251661i
$204$	2.06194	+	5.43690i	0.144365	+	0.380659i
$205$	20.4191	−	10.7168i	1.42613	−	0.748492i
$206$	3.39368	+	13.7687i	0.236449	+	0.959311i
$207$	−1.24678	+	3.28748i	−0.0866569	+	0.228496i
$208$	−2.58495	+	1.28838i	−0.179234	+	0.0893329i
$209$	−0.128379	−	0.338507i	−0.00888015	−	0.0234150i
$210$	7.06535	−	4.87686i	0.487555	−	0.336535i
$211$	−0.112192	+	0.0993933i	−0.00772361	+	0.00684252i	−0.666976	−	0.745080i	$-0.732411\pi$
$211$	−0.112192	+	0.0993933i	−0.00772361	+	0.00684252i	0.659252	+	0.751922i	$0.270873\pi$
$212$	3.48721	+	0.859520i	0.239503	+	0.0590321i
$213$	8.08682	+	3.06693i	0.554100	+	0.210142i
$214$	−4.77353	+	9.09520i	−0.326312	+	0.621735i
$215$	−3.58696	−	1.36035i	−0.244629	−	0.0927754i
$216$	−1.97165	−	2.22553i	−0.134154	−	0.151428i
$217$	−20.3888	+	18.0629i	−1.38408	+	1.22619i
$218$	−1.66037	+	2.40546i	−0.112454	+	0.162918i
$219$	−8.70829	−	6.01090i	−0.588452	−	0.406179i
$220$	0.123063	+	0.0645883i	0.00829689	+	0.00435454i
$221$	14.6771	+	13.5619i	0.987290	+	0.912272i
$222$	6.93805	−	3.64137i	0.465651	−	0.244393i
$223$	−12.9252	−	1.56940i	−0.865533	−	0.105095i	−0.324287	−	0.945959i	$-0.605124\pi$
$223$	−12.9252	−	1.56940i	−0.865533	−	0.105095i	−0.541246	+	0.840864i	$0.682047\pi$
$224$	19.2309	−	4.73999i	1.28492	−	0.316704i
$225$	−0.154454	+	0.223766i	−0.0102970	+	0.0149177i
$226$	8.09640	−	5.58854i	0.538564	−	0.371744i
$227$	−14.8498	+	16.7619i	−0.985614	+	1.11253i	0.00803114	+	0.999968i	$0.497444\pi$
$227$	−14.8498	+	16.7619i	−0.985614	+	1.11253i	−0.993645	+	0.112560i	$0.964095\pi$
$228$	6.53516	+	0.793513i	0.432802	+	0.0525517i
$229$	0.641171	−	2.60133i	0.0423698	−	0.171901i	−0.945945	−	0.324327i	$-0.894862\pi$
$229$	0.641171	−	2.60133i	0.0423698	−	0.171901i	0.988315	+	0.152426i	$0.0487085\pi$
$230$	−6.97034	−	3.65832i	−0.459611	−	0.241222i
$231$	0.0266663	−	0.219617i	0.00175452	−	0.0144497i
$232$	22.8983	−	2.78036i	1.50335	−	0.182540i
$233$	−2.88709	+	4.18268i	−0.189140	+	0.274016i	−0.906069	−	0.423129i	$-0.860932\pi$
$233$	−2.88709	+	4.18268i	−0.189140	+	0.274016i	0.716929	+	0.697146i	$0.245547\pi$
$234$	−3.26056	−	1.31531i	−0.213149	−	0.0859846i
$235$	4.75851	+	6.89389i	0.310411	+	0.449708i
$236$	2.68569	+	3.03152i	0.174823	+	0.197335i
$237$	13.6862	+	3.37335i	0.889016	+	0.219123i
$238$	11.7722	+	17.0550i	0.763079	+	1.10551i
$239$		−	14.5658i		−	0.942186i	−0.882084	−	0.471093i	$-0.843860\pi$
$239$		−	14.5658i		−	0.942186i	0.882084	−	0.471093i	$-0.156140\pi$
$240$	1.51368	−	1.04482i	0.0977078	−	0.0674428i
$241$	−18.8653	+	2.29066i	−1.21522	+	0.147554i	−0.702931	−	0.711258i	$-0.748126\pi$
$241$	−18.8653	+	2.29066i	−1.21522	+	0.147554i	−0.512290	+	0.858813i	$0.671203\pi$
$242$	10.0263	−	3.80247i	0.644514	−	0.244432i
$243$	0.120537	−	0.992709i	0.00773243	−	0.0636823i
$244$	−4.62093	−	12.1844i	−0.295824	−	0.780025i
$245$	−11.7280	+	13.2381i	−0.749272	+	0.845753i
$246$	−7.33067	−	6.49441i	−0.467387	−	0.414068i
$247$	21.3175	−	7.57793i	1.35640	−	0.482172i
$248$	−15.8099	+	14.0064i	−1.00393	+	0.889404i
$249$		−	3.34819i		−	0.212183i
$250$	7.92370	+	7.01979i	0.501139	+	0.443970i
$251$	−14.0494	+	3.46286i	−0.886790	+	0.218574i	−0.656299	−	0.754501i	$-0.727879\pi$
$251$	−14.0494	+	3.46286i	−0.886790	+	0.218574i	−0.230490	+	0.973075i	$0.574033\pi$
$252$	3.31071	+	2.28522i	0.208555	+	0.143955i
$253$	−0.189674	+	0.0719339i	−0.0119247	+	0.00452245i
$254$	2.01976	−	0.765993i	0.126731	−	0.0480626i
$255$	−10.4731	−	7.22908i	−0.655852	−	0.452702i
$256$	16.5440	−	4.07773i	1.03400	−	0.254858i
$257$	8.71362	+	7.71959i	0.543541	+	0.481535i	0.889640	−	0.456663i	$-0.150955\pi$
$257$	8.71362	+	7.71959i	0.543541	+	0.481535i	−0.346099	+	0.938198i	$0.612494\pi$
$258$			1.62923i			0.101432i
$259$	−23.0626	+	20.4317i	−1.43304	+	1.26956i
$260$	−4.19644	+	7.60426i	−0.260252	+	0.471596i
$261$	5.80689	+	5.14446i	0.359438	+	0.318434i
$262$	0.452806	−	0.511113i	0.0279745	−	0.0315766i
$263$	3.26985	+	8.62188i	0.201627	+	0.531648i	0.997247	−	0.0741485i	$-0.0236239\pi$
$263$	3.26985	+	8.62188i	0.201627	+	0.531648i	−0.795620	+	0.605796i	$0.792855\pi$
$264$	0.0206776	−	0.170296i	0.00127262	−	0.0104810i
$265$	−7.34948	+	2.78729i	−0.451475	+	0.171222i
$266$	23.2908	−	2.82802i	1.42805	−	0.173397i
$267$	12.7393	−	8.79329i	0.779631	−	0.538140i
$268$			3.78385i			0.231135i
$269$	−8.71975	−	12.6327i	−0.531652	−	0.770231i	0.461490	−	0.887146i	$-0.347315\pi$
$269$	−8.71975	−	12.6327i	−0.531652	−	0.770231i	−0.993142	+	0.116914i	$0.962700\pi$
$270$	2.17388	+	0.535814i	0.132298	+	0.0326086i
$271$	5.25772	+	5.93474i	0.319384	+	0.360510i	0.886174	−	0.463352i	$-0.153353\pi$
$271$	5.25772	+	5.93474i	0.319384	+	0.360510i	−0.566790	+	0.823862i	$0.691815\pi$
$272$	2.52208	+	3.65387i	0.152924	+	0.221548i
$273$	13.6865	+	1.95349i	0.828343	+	0.118231i
$274$	−11.3169	+	16.3954i	−0.683680	+	0.990482i
$275$	−0.0155729	+	0.00189089i	−0.000939081	+	0.000114025i
$276$	0.444625	−	3.66182i	0.0267633	−	0.220415i
$277$	6.19389	+	3.25081i	0.372155	+	0.195322i	0.640423	−	0.768022i	$-0.278759\pi$
$277$	6.19389	+	3.25081i	0.372155	+	0.195322i	−0.268268	+	0.963344i	$0.586451\pi$
$278$	3.41608	−	13.8596i	0.204883	−	0.831243i
$279$	−7.05208	−	0.856277i	−0.422197	−	0.0512640i
$280$	−17.3585	+	19.5937i	−1.03737	+	1.17095i
$281$	4.26225	−	2.94202i	0.254264	−	0.175506i	−0.434114	−	0.900858i	$-0.642938\pi$
$281$	4.26225	−	2.94202i	0.254264	−	0.175506i	0.688378	+	0.725352i	$0.258323\pi$
$282$	2.02091	−	2.92779i	0.120343	−	0.174348i
$283$	10.3006	−	2.53886i	0.612305	−	0.150920i	0.0790448	−	0.996871i	$-0.474813\pi$
$283$	10.3006	−	2.53886i	0.612305	−	0.150920i	0.533260	+	0.845952i	$0.320967\pi$
$284$	−9.00765	−	1.09373i	−0.534506	−	0.0649007i
$285$	−12.7572	+	6.69548i	−0.755669	+	0.396606i
$286$	−0.0679441	−	0.191134i	−0.00401762	−	0.0113020i
$287$	34.0998	+	17.8970i	2.01285	+	1.05642i
$288$	4.25107	+	2.93431i	0.250497	+	0.172906i
$289$	7.79312	−	11.2903i	0.458419	−	0.664134i
$290$	−13.0013	+	11.5181i	−0.763463	+	0.676369i
$291$	2.30530	+	2.60215i	0.135139	+	0.152541i
$292$	10.3799	+	3.93656i	0.607435	+	0.230370i
$293$	8.98205	−	17.1139i	0.524737	−	0.999803i	−0.468474	−	0.883477i	$-0.655196\pi$
$293$	8.98205	−	17.1139i	0.524737	−	0.999803i	0.993211	−	0.116326i	$-0.0371117\pi$
$294$	7.02302	+	2.66348i	0.409591	+	0.155337i
$295$	−8.60612	−	2.12122i	−0.501068	−	0.123502i
$296$	−17.8832	+	15.8431i	−1.03944	+	0.920862i
$297$	0.0474828	−	0.0327750i	0.00275523	−	0.00190180i
$298$	−1.26136	−	3.32594i	−0.0730687	−	0.192666i
$299$	−4.24610	−	11.9447i	−0.245558	−	0.690781i
$300$	0.101153	−	0.266718i	0.00584006	−	0.0153990i
$301$	−1.53318	−	6.22037i	−0.0883712	−	0.358536i
$302$	−15.2849	+	8.02213i	−0.879547	+	0.461622i
$303$	−0.722206	−	1.90430i	−0.0414897	−	0.109399i
$304$	4.98983	−	0.605875i	0.286186	−	0.0347493i
$305$	23.4708	+	16.2007i	1.34393	+	0.927651i
$306$	−1.29340	+	5.24752i	−0.0739387	+	0.299981i
$307$	6.31970	+	25.6401i	0.360685	+	1.46335i	0.818602	+	0.574360i	$0.194749\pi$
$307$	6.31970	+	25.6401i	0.360685	+	1.46335i	−0.457918	+	0.888994i	$0.651405\pi$
$308$	0.0279766	+	0.230408i	0.00159411	+	0.0131287i
$309$	5.15685	−	13.5975i	0.293363	−	0.773535i
$310$	3.80635	−	15.4430i	0.216186	−	0.877103i
$311$	19.0370	−	4.69220i	1.07949	−	0.266070i	0.340814	−	0.940131i	$-0.389297\pi$
$311$	19.0370	−	4.69220i	1.07949	−	0.266070i	0.738676	+	0.674060i	$0.235451\pi$
$312$	10.6128	+	1.51478i	0.600830	+	0.0857573i
$313$	−3.93825	−	0.970692i	−0.222603	−	0.0548667i	0.126437	−	0.991975i	$-0.459646\pi$
$313$	−3.93825	−	0.970692i	−0.222603	−	0.0548667i	−0.349040	+	0.937108i	$0.613492\pi$
$314$	−2.08417	+	3.97105i	−0.117616	+	0.224099i
$315$	−8.80405			−0.496052
$316$	−14.7884			−0.831913
$317$	0.544207	−	1.03690i	0.0305657	−	0.0582381i	−0.869694	−	0.493591i	$-0.835684\pi$
$317$	0.544207	−	1.03690i	0.0305657	−	0.0582381i	0.900260	+	0.435353i	$0.143376\pi$
$318$	2.21364	+	2.49869i	0.124135	+	0.140119i
$319$			0.447601i			0.0250608i
$320$	−10.1084	+	11.4100i	−0.565078	+	0.637841i
$321$	9.32722	−	4.89530i	0.520595	−	0.273229i
$322$	−1.58461	−	13.0504i	−0.0883068	−	0.727272i
$323$	−16.1622	−	30.7944i	−0.899287	−	1.71345i
$324$	0.126459	+	1.04148i	0.00702550	+	0.0578602i
$325$	−0.0977599	−	0.975447i	−0.00542275	−	0.0541081i
$326$	−1.80703	+	14.8822i	−0.100082	+	0.824249i
$327$	2.80263	−	1.06290i	0.154986	−	0.0587784i
$328$	26.4417	+	13.8777i	1.46000	+	0.766266i
$329$	−4.96059	+	13.0800i	−0.273486	+	0.721124i
$330$	0.0600320	+	0.114381i	0.00330465	+	0.00629649i
$331$	13.2263	+	25.2006i	0.726983	+	1.38515i	0.915191	+	0.403022i	$0.132040\pi$
$331$	13.2263	+	25.2006i	0.726983	+	1.38515i	−0.188207	+	0.982129i	$0.560268\pi$
$332$	0.840644	+	3.41063i	0.0461364	+	0.187183i
$333$	−7.97687	−	0.968567i	−0.437130	−	0.0530771i
$334$	−14.4167	−	12.7721i	−0.788848	−	0.698858i
$335$	−4.70418	−	6.81519i	−0.257017	−	0.372353i
$336$	2.87196	+	1.08919i	0.156678	+	0.0594203i
$337$	13.2768			0.723235			0.361617	−	0.932327i	$-0.382225\pi$
$337$	13.2768			0.723235			0.361617	+	0.932327i	$0.382225\pi$
$338$	12.0307	−	3.99491i	0.654382	−	0.217295i
$339$	−10.0888			−0.547950
$340$	12.4835	+	4.73435i	0.677011	+	0.256756i
$341$	−0.232830	−	0.337312i	−0.0126084	−	0.0182665i
$342$	4.57996	+	4.05749i	0.247656	+	0.219404i
$343$	−2.67495	−	0.324798i	−0.144434	−	0.0175374i
$344$	−1.18886	−	4.82340i	−0.0640991	−	0.260060i
$345$	3.75164	+	7.14816i	0.201982	+	0.384844i
$346$	−3.36603	−	6.41343i	−0.180959	−	0.344788i
$347$	10.0302	−	26.4475i	0.538449	−	1.41977i	−0.339311	−	0.940674i	$-0.610194\pi$
$347$	10.0302	−	26.4475i	0.538449	−	1.41977i	0.877760	−	0.479100i	$-0.159037\pi$
$348$	−7.20682	−	3.78243i	−0.386326	−	0.202759i
$349$	−4.81456	+	1.82592i	−0.257717	+	0.0977393i	−0.480080	−	0.877225i	$-0.659392\pi$
$349$	−4.81456	+	1.82592i	−0.257717	+	0.0977393i	0.222363	+	0.974964i	$0.428623\pi$
$350$	0.122541	−	1.00921i	0.00655008	−	0.0539447i
$351$	1.98560	+	3.00955i	0.105983	+	0.160638i
$352$	0.0359229	+	0.295852i	0.00191470	+	0.0157690i
$353$	−10.8093	−	20.5953i	−0.575320	−	1.09618i	−0.983095	−	0.183097i	$-0.941388\pi$
$353$	−10.8093	−	20.5953i	−0.575320	−	1.09618i	0.407775	−	0.913082i	$-0.366305\pi$
$354$	0.453743	+	3.73691i	0.0241162	+	0.198614i
$355$	17.5837	−	9.22861i	0.933243	−	0.489804i
$356$	−10.7691	+	12.1558i	−0.570759	+	0.644254i
$357$		−	21.2520i		−	1.12478i
$358$	−0.419109	−	0.473076i	−0.0221506	−	0.0250029i
$359$	9.43463	−	17.9762i	0.497941	−	0.948747i	−0.498694	−	0.866778i	$-0.666187\pi$
$359$	9.43463	−	17.9762i	0.497941	−	0.948747i	0.996635	−	0.0819691i	$-0.0261209\pi$
$360$	−6.82684			−0.359806
$361$	−20.3738			−1.07231
$362$	−1.66147	+	3.16566i	−0.0873247	+	0.166383i
$363$	−10.6771	−	2.63168i	−0.560404	−	0.138127i
$364$	−14.4322	+	1.44640i	−0.756451	+	0.0758120i
$365$	−23.5895	+	5.81428i	−1.23473	+	0.304333i
$366$	2.89857	−	11.7600i	0.151511	−	0.614704i
$367$	7.29173	−	19.2267i	0.380625	−	1.00363i	−0.598635	−	0.801022i	$-0.704290\pi$
$367$	7.29173	−	19.2267i	0.380625	−	1.00363i	0.979261	−	0.202605i	$-0.0649406\pi$
$368$	−0.339487	−	2.79593i	−0.0176970	−	0.145748i
$369$	2.40357	+	9.75168i	0.125125	+	0.507652i
$370$	4.30551	−	17.4681i	0.223833	−	0.908126i
$371$	−10.8030	−	7.45677i	−0.560864	−	0.387136i
$372$	7.39857	−	0.898349i	0.383598	−	0.0465772i
$373$	12.2779	+	32.3742i	0.635726	+	1.67627i	0.732331	+	0.680949i	$0.238432\pi$
$373$	12.2779	+	32.3742i	0.635726	+	1.67627i	−0.0966051	+	0.995323i	$0.530798\pi$
$374$	−0.276104	+	0.144911i	−0.0142770	+	0.00749316i
$375$	−2.59801	−	10.5406i	−0.134161	−	0.544312i
$376$	−3.84654	+	10.1425i	−0.198370	+	0.523059i
$377$	−27.9655	−	0.585777i	−1.44029	−	0.0301690i
$378$	1.32588	+	3.49605i	0.0681958	+	0.179818i
$379$	2.52465	−	1.74264i	0.129682	−	0.0895133i	−0.501458	−	0.865182i	$-0.667203\pi$
$379$	2.52465	−	1.74264i	0.129682	−	0.0895133i	0.631140	+	0.775669i	$0.282587\pi$
$380$	11.3140	−	10.0233i	0.580396	−	0.514186i
$381$	−2.15087	−	0.530141i	−0.110192	−	0.0271599i
$382$	1.76196	+	0.668222i	0.0901495	+	0.0341892i
$383$	−16.9993	+	32.3895i	−0.868626	+	1.65503i	−0.119268	+	0.992862i	$0.538055\pi$
$383$	−16.9993	+	32.3895i	−0.868626	+	1.65503i	−0.749357	+	0.662166i	$0.769637\pi$
$384$	−3.60635	−	1.36771i	−0.184036	−	0.0697955i
$385$	−0.336838	−	0.380212i	−0.0171669	−	0.0193774i
$386$	−8.99768	+	7.97125i	−0.457970	+	0.405726i
$387$	0.949121	−	1.37504i	0.0482465	−	0.0698972i
$388$	−3.00162	−	2.07187i	−0.152384	−	0.105183i
$389$	−26.2912	−	13.7987i	−1.33302	−	0.699622i	−0.360568	−	0.932733i	$-0.617417\pi$
$389$	−26.2912	−	13.7987i	−1.33302	−	0.699622i	−0.972450	+	0.233111i	$0.925109\pi$
$390$	−7.22495	+	3.60102i	−0.365850	+	0.182345i
$391$	−17.2549	+	9.05607i	−0.872617	+	0.457985i
$392$	−22.7354	−	2.76058i	−1.14831	−	0.139430i
$393$	−0.679911	+	0.167583i	−0.0342970	+	0.00845344i
$394$	5.89862	−	8.54563i	0.297168	−	0.430522i
$395$	26.6358	−	18.3854i	1.34019	−	0.925067i
$396$	−0.0401393	+	0.0453079i	−0.00201708	+	0.00227681i
$397$	−30.1560	−	3.66160i	−1.51349	−	0.183771i	−0.678730	−	0.734388i	$-0.737469\pi$
$397$	−30.1560	−	3.66160i	−1.51349	−	0.183771i	−0.834758	+	0.550617i	$0.814392\pi$
$398$	−5.77985	+	23.4498i	−0.289718	+	1.17543i
$399$	−21.3044	−	11.1814i	−1.06656	−	0.559771i
$400$	0.0262532	−	0.216214i	0.00131266	−	0.0108107i
$401$	−6.69329	+	0.812713i	−0.334247	+	0.0405849i	−0.285940	−	0.958248i	$-0.592306\pi$
$401$	−6.69329	+	0.812713i	−0.334247	+	0.0405849i	−0.0483072	+	0.998833i	$0.515383\pi$
$402$	−1.99784	+	2.89437i	−0.0996432	+	0.144358i
$403$	21.3795	−	14.1054i	1.06499	−	0.702641i
$404$	1.21379	+	1.75849i	0.0603885	+	0.0874879i
$405$	−1.52257	−	1.71863i	−0.0756571	−	0.0853992i
$406$	−28.1642	−	6.94186i	−1.39777	−	0.344519i
$407$	−0.263362	−	0.381546i	−0.0130544	−	0.0189125i
$408$		−	16.4793i		−	0.815845i
$409$	31.3002	−	21.6049i	1.54769	−	1.06830i	0.580498	−	0.814261i	$-0.302858\pi$
$409$	31.3002	−	21.6049i	1.54769	−	1.06830i	0.967195	−	0.254034i	$-0.0817576\pi$
$410$	−22.3229	+	2.71049i	−1.10245	+	0.133862i
$411$	19.1025	−	7.24462i	0.942256	−	0.357351i
$412$	−1.83904	+	15.1458i	−0.0906028	+	0.746181i
$413$	−5.24898	−	13.8404i	−0.258285	−	0.681042i
$414$	2.27351	−	2.56627i	0.111737	−	0.126125i
$415$	−5.75429	−	5.09786i	−0.282467	−	0.250244i
$416$	−18.5314	+	1.85723i	−0.908578	+	0.0910583i
$417$	−10.9571	+	9.70714i	−0.536571	+	0.475361i
$418$			0.353028i			0.0172671i
$419$	−15.1161	−	13.3917i	−0.738470	−	0.654228i	0.207591	−	0.978216i	$-0.433438\pi$
$419$	−15.1161	−	13.3917i	−0.738470	−	0.654228i	−0.946061	+	0.323988i	$0.894976\pi$
$420$	8.96823	−	2.21047i	0.437605	−	0.107860i
$421$	−33.5670	−	23.1696i	−1.63596	−	1.12922i	−0.880536	−	0.473978i	$-0.842817\pi$
$421$	−33.5670	−	23.1696i	−1.63596	−	1.12922i	−0.755420	−	0.655241i	$-0.772567\pi$
$422$	0.136660	−	0.0518284i	0.00665252	−	0.00252297i
$423$	−3.41121	+	1.29370i	−0.165859	+	0.0629019i
$424$	−8.37686	−	5.78213i	−0.406817	−	0.280805i
$425$	−1.46318	+	0.360641i	−0.0709745	+	0.0174936i
$426$	−6.31272	−	5.59258i	−0.305852	−	0.270961i
$427$			47.6269i			2.30483i
$428$	−8.27207	+	7.32841i	−0.399846	+	0.354232i
$429$	−0.0540027	+	0.200894i	−0.00260728	+	0.00969925i
$430$	2.80004	+	2.48062i	0.135030	+	0.119626i
$431$	0.146023	−	0.164826i	0.00703368	−	0.00793939i	−0.744983	−	0.667083i	$-0.767543\pi$
$431$	0.146023	−	0.164826i	0.00703368	−	0.00793939i	0.752017	+	0.659144i	$0.229081\pi$
$432$	0.284057	+	0.748996i	0.0136667	+	0.0360361i
$433$	−1.93451	+	15.9322i	−0.0929668	+	0.765651i	0.869440	+	0.494039i	$0.164480\pi$
$433$	−1.93451	+	15.9322i	−0.0929668	+	0.765651i	−0.962407	+	0.271612i	$0.912443\pi$
$434$	24.8355	−	9.41887i	1.19214	−	0.452120i
$435$	17.6828	−	2.14708i	0.847825	−	0.102945i
$436$	−2.58803	+	1.78639i	−0.123944	+	0.0855525i
$437$			22.0621i			1.05537i
$438$	5.86137	+	8.49166i	0.280067	+	0.405747i
$439$	−28.6495	−	7.06148i	−1.36737	−	0.337026i	−0.513757	−	0.857936i	$-0.671747\pi$
$439$	−28.6495	−	7.06148i	−1.36737	−	0.337026i	−0.853612	+	0.520910i	$0.825593\pi$
$440$	−0.261191	−	0.294824i	−0.0124518	−	0.0140552i
$441$	−4.37566	−	6.33923i	−0.208365	−	0.301868i
$442$	−8.69248	−	17.4403i	−0.413459	−	0.829549i
$443$	21.0862	−	30.5487i	1.00184	−	1.45141i	0.112778	−	0.993620i	$-0.464025\pi$
$443$	21.0862	−	30.5487i	1.00184	−	1.45141i	0.889059	−	0.457792i	$-0.151360\pi$
$444$	8.36880	−	1.01616i	0.397166	−	0.0482246i
$445$	4.28406	−	35.2824i	0.203084	−	1.67255i
$446$	11.2419	+	5.90022i	0.532321	+	0.279383i
$447$	−0.872984	+	3.54183i	−0.0412907	+	0.167523i
$448$	−25.2713	−	3.06849i	−1.19395	−	0.144972i
$449$	4.98481	−	5.62668i	0.235248	−	0.265540i	−0.619018	−	0.785377i	$-0.712469\pi$
$449$	4.98481	−	5.62668i	0.235248	−	0.265540i	0.854265	+	0.519838i	$0.174008\pi$
$450$	0.218199	−	0.150612i	0.0102860	−	0.00709992i
$451$	−0.329177	+	0.476895i	−0.0155003	+	0.0224561i
$452$	10.2770	−	2.53304i	0.483388	−	0.119144i
$453$	17.5735	+	2.13381i	0.825674	+	0.100255i
$454$	19.3354	−	10.1480i	0.907454	−	0.476269i
$455$	24.1959	−	20.5476i	1.13432	−	0.963287i
$456$	−16.5199	−	8.67030i	−0.773614	−	0.406024i
$457$	4.67382	+	3.22610i	0.218632	+	0.150911i	0.672347	−	0.740236i	$-0.265286\pi$
$457$	4.67382	+	3.22610i	0.218632	+	0.150911i	−0.453715	+	0.891147i	$0.649902\pi$
$458$	−1.48409	+	2.15008i	−0.0693470	+	0.100467i
$459$	4.14858	−	3.67532i	0.193639	−	0.171549i
$460$	−5.61632	−	6.33951i	−0.261862	−	0.295581i
$461$	29.2596	+	11.0967i	1.36276	+	0.516825i	0.924210	−	0.381884i	$-0.124724\pi$
$461$	29.2596	+	11.0967i	1.36276	+	0.516825i	0.438546	+	0.898709i	$0.355494\pi$
$462$	−0.100253	+	0.191017i	−0.00466420	+	0.00888690i
$463$	−0.482895	−	0.183138i	−0.0224420	−	0.00851114i	0.343358	−	0.939204i	$-0.388435\pi$
$463$	−0.482895	−	0.183138i	−0.0224420	−	0.00851114i	−0.365800	+	0.930693i	$0.619205\pi$
$464$	−6.03391	−	1.48723i	−0.280117	−	0.0690427i
$465$	−12.2089	+	10.8161i	−0.566174	+	0.501586i
$466$	4.07863	−	2.81527i	0.188939	−	0.130415i
$467$	12.0141	+	31.6785i	0.555945	+	1.46591i	0.858519	+	0.512782i	$0.171385\pi$
$467$	12.0141	+	31.6785i	0.555945	+	1.46591i	−0.302574	+	0.953126i	$0.597846\pi$
$468$	−2.77824	−	2.56714i	−0.128424	−	0.118666i
$469$	4.90396	−	12.9307i	0.226444	−	0.597083i
$470$	−1.95481	−	7.93096i	−0.0901685	−	0.365828i
$471$	4.07236	−	2.13734i	0.187644	−	0.0984833i
$472$	−4.07016	−	10.7321i	−0.187344	−	0.493987i
$473$	0.0956954	−	0.0116195i	0.00440008	−	0.000534266i
$474$	−11.3121	−	7.80815i	−0.519580	−	0.358640i
$475$	−0.408298	+	1.65653i	−0.0187340	+	0.0760068i
$476$	5.33584	+	21.6483i	0.244568	+	0.992250i
$477$	−0.412642	−	3.39841i	−0.0188936	−	0.155603i
$478$	−5.03663	+	13.2805i	−0.230370	+	0.607436i
$479$	−4.48690	+	18.2041i	−0.205012	+	0.831764i	0.774860	+	0.632133i	$0.217821\pi$
$479$	−4.48690	+	18.2041i	−0.205012	+	0.831764i	−0.979871	+	0.199631i	$0.936026\pi$
$480$	11.5155	−	2.83832i	0.525610	−	0.129551i
$481$	24.1831	−	15.9552i	1.10266	−	0.727493i
$482$	17.9926	+	4.43478i	0.819542	+	0.201999i
$483$	−6.26523	+	11.9374i	−0.285078	+	0.543171i
$484$	11.5370			0.524408
$485$	7.98211			0.362449
$486$	−0.453163	+	0.863429i	−0.0205559	+	0.0391659i
$487$	6.31437	+	7.12745i	0.286131	+	0.322975i	0.873949	−	0.486018i	$-0.161551\pi$
$487$	6.31437	+	7.12745i	0.286131	+	0.322975i	−0.587817	+	0.808994i	$0.700013\pi$
$488$			36.9309i			1.67178i
$489$	10.1948	−	11.5076i	0.461026	−	0.520390i
$490$	15.2706	−	8.01462i	0.689854	−	0.362063i
$491$	0.558368	+	4.59858i	0.0251988	+	0.207531i	0.999870	−	0.0161109i	$-0.00512850\pi$
$491$	0.558368	+	4.59858i	0.0251988	+	0.207531i	−0.974671	+	0.223642i	$0.928205\pi$
$492$	−4.89679	−	9.33005i	−0.220764	−	0.420631i
$493$	5.18282	+	42.6844i	0.233423	+	1.92241i
$494$	−22.0567	−	0.462008i	−0.992376	−	0.0207867i
$495$	0.0159679	−	0.131507i	0.000717704	−	0.00591082i
$496$	5.32077	−	2.01790i	0.238910	−	0.0906065i
$497$	29.3647	+	15.4118i	1.31718	+	0.691312i
$498$	−1.15775	+	3.05274i	−0.0518800	+	0.136796i
$499$	3.26649	+	6.22378i	0.146228	+	0.278615i	0.947543	−	0.319628i	$-0.103558\pi$
$499$	3.26649	+	6.22378i	0.146228	+	0.278615i	−0.801315	+	0.598243i	$0.795866\pi$
$500$	5.29292	+	10.0848i	0.236707	+	0.451007i
$501$	4.72694	+	19.1779i	0.211184	+	0.856807i
$502$	14.0070	+	1.70076i	0.625164	+	0.0759087i
$503$	4.65419	+	4.12325i	0.207520	+	0.183847i	0.760481	−	0.649361i	$-0.224963\pi$
$503$	4.65419	+	4.12325i	0.207520	+	0.183847i	−0.552960	+	0.833208i	$0.686502\pi$
$504$	−6.47639	−	9.38267i	−0.288481	−	0.417938i
$505$	−4.37239	−	1.65823i	−0.194569	−	0.0737903i
$506$	0.197810			0.00879374
$507$	−12.4809	−	3.63692i	−0.554296	−	0.161521i
$508$	2.32408			0.103114
$509$	−1.36299	−	0.516913i	−0.0604134	−	0.0229118i	0.324213	−	0.945984i	$-0.394901\pi$
$509$	−1.36299	−	0.516913i	−0.0604134	−	0.0229118i	−0.384627	+	0.923072i	$0.625670\pi$
$510$	7.04924	+	10.2126i	0.312146	+	0.452221i
$511$	−30.3696	−	26.9051i	−1.34347	−	1.19021i
$512$	−8.83639	−	1.07293i	−0.390517	−	0.0474173i
$513$	−1.50167	−	6.09252i	−0.0663004	−	0.268991i
$514$	−5.27539	−	10.0514i	−0.232687	−	0.443349i
$515$	−15.5174	−	29.5658i	−0.683776	−	1.30283i
$516$	−0.621583	+	1.63898i	−0.0273637	+	0.0721521i
$517$	−0.186381	−	0.0978203i	−0.00819703	−	0.00430213i
$518$	28.0924	−	10.6540i	1.23431	−	0.468111i
$519$	−0.895329	+	7.37370i	−0.0393006	+	0.323669i
$520$	18.7620	−	15.9330i	0.822769	−	0.698709i
$521$	1.26690	+	10.4338i	0.0555038	+	0.457115i	0.993791	+	0.111259i	$0.0354883\pi$
$521$	1.26690	+	10.4338i	0.0555038	+	0.457115i	−0.938288	+	0.345856i	$0.887589\pi$
$522$	−3.51560	−	6.69842i	−0.153874	−	0.293182i
$523$	−2.18713	−	18.0126i	−0.0956366	−	0.787638i	−0.959069	−	0.283173i	$-0.908613\pi$
$523$	−2.18713	−	18.0126i	−0.0956366	−	0.787638i	0.863432	−	0.504465i	$-0.168310\pi$
$524$	0.650514	−	0.341416i	0.0284178	−	0.0149148i
$525$	−0.691346	+	0.780368i	−0.0301728	+	0.0340580i
$526$		−	8.99171i		−	0.392057i
$527$	−26.1090	−	29.4710i	−1.13733	−	1.28378i
$528$	−0.0214783	+	0.0409235i	−0.000934723	+	0.00178097i
$529$	−10.6380			−0.462523
$530$	7.66473			0.332935
$531$	1.79401	−	3.41820i	0.0778535	−	0.148337i
$532$	24.5091	+	6.04094i	1.06260	+	0.261908i
$533$	−29.3649	−	21.1906i	−1.27194	−	0.917867i
$534$	−14.6557	+	3.61230i	−0.634214	+	0.156320i
$535$	5.78815	−	23.4835i	0.250244	−	1.01528i
$536$	3.80263	−	10.0267i	0.164249	−	0.433088i
$537$	0.0781255	+	0.643421i	0.00337136	+	0.0277657i
$538$	3.58209	+	14.5331i	0.154435	+	0.626568i
$539$	0.106356	−	0.431503i	0.00458107	−	0.0185861i
$540$	1.98247	+	1.36840i	0.0853117	+	0.0588864i
$541$	10.3015	−	1.25083i	0.442896	−	0.0537773i	0.103949	−	0.994583i	$-0.466852\pi$
$541$	10.3015	−	1.25083i	0.442896	−	0.0537773i	0.338947	+	0.940805i	$0.389929\pi$
$542$	−2.74163	−	7.22908i	−0.117763	−	0.310515i
$543$	3.24642	−	1.70385i	0.139317	−	0.0731193i
$544$	6.85141	+	27.7973i	0.293752	+	1.19180i
$545$	2.44048	−	6.43502i	0.104539	−	0.275646i
$546$	−11.8032	−	6.51366i	−0.505132	−	0.278759i
$547$	−0.899526	−	2.37186i	−0.0384610	−	0.101413i	0.914410	−	0.404790i	$-0.132655\pi$
$547$	−0.899526	−	2.37186i	−0.0384610	−	0.101413i	−0.952871	+	0.303376i	$0.901886\pi$
$548$	−17.6398	+	12.1758i	−0.753533	+	0.520127i
$549$	−9.29718	+	8.23659i	−0.396794	+	0.351529i
$550$	0.0148525	+	0.00366082i	0.000633314	+	0.000156098i
$551$	45.5165	+	17.2621i	1.93907	+	0.735391i
$552$	−4.85819	+	9.25650i	−0.206778	+	0.393983i
$553$	50.5370	+	19.1661i	2.14905	+	0.815027i
$554$	−4.52325	−	5.10569i	−0.192174	−	0.216920i
$555$	−13.8099	+	12.2345i	−0.586199	+	0.519327i
$556$	8.72421	−	12.6392i	0.369989	−	0.536021i
$557$	−9.25443	−	6.38787i	−0.392123	−	0.270663i	0.355648	−	0.934620i	$-0.384260\pi$
$557$	−9.25443	−	6.38787i	−0.392123	−	0.270663i	−0.747770	+	0.663957i	$0.768876\pi$
$558$	6.13369	+	3.21921i	0.259660	+	0.136280i
$559$	0.600734	+	5.99412i	0.0254084	+	0.253524i
$560$	6.24467	−	3.27746i	0.263886	−	0.138498i
$561$	0.317445	+	0.0385448i	0.0134025	+	0.00162736i
$562$	−4.90343	+	1.20859i	−0.206839	+	0.0509812i
$563$	−2.81913	+	4.08421i	−0.118812	+	0.172129i	−0.877877	−	0.478886i	$-0.841041\pi$
$563$	−2.81913	+	4.08421i	−0.118812	+	0.172129i	0.759065	+	0.651014i	$0.225656\pi$
$564$	3.15001	−	2.17429i	0.132639	−	0.0915543i
$565$	−15.3610	+	17.3389i	−0.646240	+	0.729454i
$566$	−10.2695	−	1.24694i	−0.431659	−	0.0524129i
$567$	0.917636	−	3.72299i	0.0385371	−	0.156351i
$568$	22.7699	+	11.9506i	0.955406	+	0.501436i
$569$	−0.0482430	+	0.397317i	−0.00202245	+	0.0166564i	−0.993685	−	0.112204i	$-0.964209\pi$
$569$	−0.0482430	+	0.397317i	−0.00202245	+	0.0166564i	0.991663	+	0.128861i	$0.0411320\pi$
$570$	13.9466	−	1.69343i	0.584159	−	0.0709298i
$571$	20.2074	−	29.2755i	0.845655	−	1.22514i	−0.126771	−	0.991932i	$-0.540461\pi$
$571$	20.2074	−	29.2755i	0.845655	−	1.22514i	0.972426	−	0.233211i	$-0.0749231\pi$
$572$	0.00457049	−	0.218199i	0.000191102	−	0.00912335i
$573$	−1.09778	−	1.59040i	−0.0458603	−	0.0664401i
$574$	−24.9023	−	28.1088i	−1.03940	−	1.17324i
$575$	0.928195	+	0.228779i	0.0387084	+	0.00954076i
$576$	−3.77141	−	5.46383i	−0.157142	−	0.227660i
$577$			19.4376i			0.809199i	0.914494	+	0.404600i	$0.132589\pi$
$577$			19.4376i			0.809199i	−0.914494	+	0.404600i	$0.867411\pi$
$578$	−11.0094	+	7.59925i	−0.457931	+	0.316087i
$579$	12.2376	−	1.48591i	0.508575	−	0.0617522i
$580$	−17.4735	+	6.62681i	−0.725546	+	0.275163i
$581$	1.54749	−	12.7448i	0.0642008	−	0.528741i
$582$	−1.20209	−	3.16966i	−0.0498284	−	0.131387i
$583$	0.130976	−	0.147842i	0.00542449	−	0.00612298i
$584$	−23.5492	−	20.8627i	−0.974472	−	0.863307i
$585$	8.19551	+	1.16976i	0.338842	+	0.0483635i
$586$	−14.1071	+	12.4978i	−0.582761	+	0.516281i
$587$			34.8719i			1.43932i	0.694329	+	0.719658i	$0.255701\pi$
$587$			34.8719i			1.43932i	−0.694329	+	0.719658i	$0.744299\pi$
$588$	6.04887	+	5.35883i	0.249451	+	0.220994i
$589$	−43.2805	+	10.6677i	−1.78334	+	0.439554i
$590$	7.11321	+	4.90989i	0.292846	+	0.202137i
$591$	−9.95662	+	3.77605i	−0.409561	+	0.155326i
$592$	6.01852	−	2.28252i	0.247360	−	0.0938112i
$593$	−8.27060	−	5.70878i	−0.339633	−	0.234432i	0.386024	−	0.922489i	$-0.373848\pi$
$593$	−8.27060	−	5.70878i	−0.339633	−	0.234432i	−0.725656	+	0.688057i	$0.758464\pi$
$594$	−0.0546258	+	0.0134641i	−0.00224133	+	0.000552437i
$595$	−36.5243	−	32.3577i	−1.49735	−	1.32654i
$596$		−	3.82707i		−	0.156763i
$597$	18.5389	−	16.4240i	0.758746	−	0.672190i
$598$	−0.258875	+	12.3589i	−0.0105862	+	0.505393i
$599$	24.9646	+	22.1167i	1.02003	+	0.903664i	0.995378	−	0.0960319i	$-0.0306151\pi$
$599$	24.9646	+	22.1167i	1.02003	+	0.903664i	0.0246478	+	0.999696i	$0.492154\pi$
$600$	−0.536083	+	0.605113i	−0.0218855	+	0.0247036i
$601$	10.1338	+	26.7205i	0.413365	+	1.08995i	0.966456	+	0.256832i	$0.0826788\pi$
$601$	10.1338	+	26.7205i	0.413365	+	1.08995i	−0.553091	+	0.833121i	$0.686552\pi$
$602$	−0.753012	+	6.20161i	−0.0306905	+	0.252759i
$603$	3.37227	−	1.27893i	0.137329	−	0.0520822i
$604$	−18.4369	+	2.23865i	−0.750188	+	0.0910893i
$605$	−20.7795	+	14.3431i	−0.844808	+	0.583129i
$606$			1.98599i			0.0806752i
$607$	−17.4739	−	25.3152i	−0.709242	−	1.02751i	−0.997549	−	0.0699760i	$-0.977708\pi$
$607$	−17.4739	−	25.3152i	−0.709242	−	1.02751i	0.288307	−	0.957538i	$-0.406908\pi$
$608$	31.4706	+	7.75679i	1.27630	+	0.314580i
$609$	19.7260	+	22.2660i	0.799337	+	0.902265i
$610$	−15.7977	−	22.8869i	−0.639631	−	0.926665i
$611$	6.35559	−	11.5168i	0.257120	−	0.465920i
$612$	−3.30316	+	4.78546i	−0.133523	+	0.193441i
$613$	10.2825	−	1.24852i	0.415304	−	0.0504271i	0.0897821	−	0.995961i	$-0.471383\pi$
$613$	10.2825	−	1.24852i	0.415304	−	0.0504271i	0.325522	+	0.945534i	$0.394460\pi$
$614$	3.10388	−	25.5627i	0.125262	−	1.03163i
$615$	20.4191	+	10.7168i	0.823377	+	0.432142i
$616$	0.157417	−	0.638666i	0.00634251	−	0.0257326i
$617$	−0.247133	−	0.0300073i	−0.00994919	−	0.00120805i	0.115561	−	0.993300i	$-0.463134\pi$
$617$	−0.247133	−	0.0300073i	−0.00994919	−	0.00120805i	−0.125510	+	0.992092i	$0.540057\pi$
$618$	−9.40359	+	10.6145i	−0.378268	+	0.426976i
$619$	−13.2799	+	9.16642i	−0.533762	+	0.368429i	−0.804247	−	0.594295i	$-0.797431\pi$
$619$	−13.2799	+	9.16642i	−0.533762	+	0.368429i	0.270485	+	0.962724i	$0.412816\pi$
$620$	9.72091	−	14.0832i	0.390401	−	0.565594i
$621$	−3.41379	+	0.841424i	−0.136991	+	0.0337652i
$622$	−18.9796	−	2.30454i	−0.761013	−	0.0924037i
$623$	52.5557	−	27.5833i	2.10560	−	1.10510i
$624$	−2.52873	−	1.39549i	−0.101230	−	0.0558643i
$625$	−23.2747	−	12.2155i	−0.930988	−	0.488620i
$626$	3.25508	+	2.24682i	0.130099	+	0.0898009i
$627$	0.205659	−	0.297948i	0.00821321	−	0.0118989i
$628$	−3.61167	+	3.19966i	−0.144121	+	0.127680i
$629$	−29.5329	−	33.3357i	−1.17755	−	1.32918i
$630$	8.02715	+	3.04430i	0.319809	+	0.121288i
$631$	−20.4654	+	38.9936i	−0.814716	+	1.55231i	0.0188035	+	0.999823i	$0.494014\pi$
$631$	−20.4654	+	38.9936i	−0.814716	+	1.55231i	−0.833520	+	0.552489i	$0.813678\pi$
$632$	39.1874	+	14.8618i	1.55879	+	0.591171i
$633$	−0.145531	−	0.0358703i	−0.00578435	−	0.00142571i
$634$	−0.854727	+	0.757222i	−0.0339455	+	0.0300731i
$635$	−4.18596	+	2.88936i	−0.166115	+	0.114661i
$636$	1.27359	+	3.35818i	0.0505011	+	0.133160i
$637$	26.8205	+	7.20968i	1.06267	+	0.285658i
$638$	0.154773	−	0.408103i	0.00612752	−	0.0161569i
$639$	2.06981	+	8.39754i	0.0818803	+	0.332201i
$640$	−7.84150	+	4.11553i	−0.309962	+	0.162681i
$641$	−8.72359	−	23.0022i	−0.344561	−	0.908533i	−0.989530	−	0.144325i	$-0.953899\pi$
$641$	−8.72359	−	23.0022i	−0.344561	−	0.908533i	0.644969	−	0.764209i	$-0.276870\pi$
$642$	−10.1969	+	1.23812i	−0.402438	+	0.0488649i
$643$	6.36208	+	4.39143i	0.250896	+	0.173181i	0.686874	−	0.726776i	$-0.258982\pi$
$643$	6.36208	+	4.39143i	0.250896	+	0.173181i	−0.435979	+	0.899957i	$0.643598\pi$
$644$	3.38489	−	13.7330i	0.133383	−	0.541158i
$645$	−0.918075	−	3.72478i	−0.0361492	−	0.146663i
$646$	4.08775	+	33.6656i	0.160830	+	1.32456i
$647$	−3.22928	+	8.51491i	−0.126956	+	0.334756i	−0.983391	−	0.181499i	$-0.941905\pi$
$647$	−3.22928	+	8.51491i	−0.126956	+	0.334756i	0.856435	+	0.516255i	$0.172674\pi$
$648$	0.711553	−	2.88688i	0.0279524	−	0.113408i
$649$	0.216257	−	0.0533025i	0.00848881	−	0.00209230i
$650$	−0.248160	+	0.923174i	−0.00973365	+	0.0362099i
$651$	−26.4477	−	6.51876i	−1.03657	−	0.255491i
$652$	−7.49567	+	14.2818i	−0.293553	+	0.559319i
$653$	−24.1099			−0.943492			−0.471746	−	0.881735i	$-0.656376\pi$
$653$	−24.1099			−0.943492			−0.471746	+	0.881735i	$0.656376\pi$
$654$	−2.92285			−0.114293
$655$	−0.747199	+	1.42367i	−0.0291955	+	0.0556274i
$656$	−5.33507	−	6.02205i	−0.208300	−	0.235122i
$657$		−	10.5814i		−	0.412818i
$658$	9.04570	−	10.2105i	0.352638	−	0.398046i
$659$	−15.6868	+	8.23309i	−0.611072	+	0.320715i	−0.741716	−	0.670714i	$-0.765988\pi$
$659$	−15.6868	+	8.23309i	−0.611072	+	0.320715i	0.130644	+	0.991429i	$0.458296\pi$
$660$	0.0167525	+	0.137969i	0.000652089	+	0.00537043i
$661$	4.75390	+	9.05780i	0.184905	+	0.352308i	0.960210	−	0.279280i	$-0.0900958\pi$
$661$	4.75390	+	9.05780i	0.184905	+	0.352308i	−0.775304	+	0.631588i	$0.782404\pi$
$662$	−3.34521	−	27.5503i	−0.130015	−	1.07077i
$663$	−2.82367	+	19.7831i	−0.109662	+	0.768311i
$664$	1.19996	−	9.88254i	0.0465674	−	0.383517i
$665$	−51.6542	+	19.5898i	−2.00306	+	0.759662i
$666$	6.93805	+	3.64137i	0.268844	+	0.141100i
$667$	9.67240	−	25.5040i	0.374517	−	0.987519i
$668$	−9.63017	−	18.3488i	−0.372602	−	0.709935i
$669$	−6.05074	−	11.5287i	−0.233935	−	0.445726i
$670$	1.93249	+	7.84042i	0.0746586	+	0.302902i
$671$	−0.711411	−	0.0863809i	−0.0274637	−	0.00333470i
$672$	14.8253	+	13.1341i	0.571900	+	0.506659i
$673$	16.9004	+	24.4844i	0.651462	+	0.943806i	0.999979	+	0.00650303i	$0.00206999\pi$
$673$	16.9004	+	24.4844i	0.651462	+	0.943806i	−0.348517	+	0.937302i	$0.613315\pi$
$674$	−12.1052	−	4.59091i	−0.466276	−	0.176835i
$675$	−0.271896			−0.0104653
$676$	13.6268	+	0.571115i	0.524107	+	0.0219660i
$677$	−30.9113			−1.18802			−0.594009	−	0.804459i	$-0.702455\pi$
$677$	−30.9113			−1.18802			−0.594009	+	0.804459i	$0.702455\pi$
$678$	9.19856	+	3.48855i	0.353269	+	0.133977i
$679$	7.57236	+	10.9705i	0.290600	+	0.421007i
$680$	−28.3217	−	25.0908i	−1.08609	−	0.962189i
$681$	−22.2304	−	2.69926i	−0.851872	−	0.103436i
$682$	0.0956469	+	0.388055i	0.00366251	+	0.0148594i
$683$	−11.9913	−	22.8474i	−0.458833	−	0.874233i	−0.999456	−	0.0329685i	$-0.989504\pi$
$683$	−11.9913	−	22.8474i	−0.458833	−	0.874233i	0.540623	−	0.841265i	$-0.318188\pi$
$684$	3.05935	+	5.82910i	0.116977	+	0.222881i
$685$	16.6341	−	43.8605i	0.635555	−	1.67582i
$686$	2.32659	+	1.22109i	0.0888298	+	0.0466215i
$687$	2.50508	−	0.950053i	0.0955749	−	0.0362468i
$688$	−0.161326	+	1.32864i	−0.00615048	+	0.0506538i
$689$	9.06554	+	8.37670i	0.345369	+	0.319127i
$690$	−0.948869	−	7.81464i	−0.0361228	−	0.297498i
$691$	−9.52643	−	18.1511i	−0.362402	−	0.690500i	0.634173	−	0.773191i	$-0.281341\pi$
$691$	−9.52643	−	18.1511i	−0.362402	−	0.690500i	−0.996575	+	0.0826912i	$0.973648\pi$
$692$	−0.939320	−	7.73599i	−0.0357076	−	0.294078i
$693$	0.195890	−	0.102811i	0.00744123	−	0.00390546i
$694$	−18.2902	+	20.6454i	−0.694287	+	0.783688i
$695$			33.6109i			1.27494i
$696$	15.2959	+	17.2655i	0.579790	+	0.654448i
$697$	−25.8691	+	49.2895i	−0.979863	+	1.86697i
$698$	5.02108			0.190051
$699$	−5.08233			−0.192231
$700$	0.508307	−	0.968499i	0.0192122	−	0.0366058i
$701$	13.9685	+	3.44293i	0.527584	+	0.130038i	0.494106	−	0.869402i	$-0.335495\pi$
$701$	13.9685	+	3.44293i	0.527584	+	0.130038i	0.0334781	+	0.999439i	$0.489342\pi$
$702$	−0.769727	−	3.43057i	−0.0290515	−	0.129478i
$703$	−48.9562	+	12.0666i	−1.84642	+	0.455101i
$704$	0.0916689	−	0.371915i	0.00345490	−	0.0140171i
$705$	−2.97042	+	7.83235i	−0.111872	+	0.294983i
$706$	2.73389	+	22.5156i	0.102891	+	0.847386i
$707$	−1.86890	−	7.58244i	−0.0702874	−	0.285167i
$708$	−0.969243	+	3.93237i	−0.0364264	+	0.147788i
$709$	28.4162	+	19.6143i	1.06719	+	0.736631i	0.966080	−	0.258244i	$-0.0831437\pi$
$709$	28.4162	+	19.6143i	1.06719	+	0.736631i	0.101115	+	0.994875i	$0.467759\pi$
$710$	−19.2231	+	2.33411i	−0.721431	+	0.0875975i
$711$	4.99845	+	13.1798i	0.187457	+	0.494282i
$712$	40.7527	−	21.3887i	1.52727	−	0.801574i
$713$	5.97737	+	24.2511i	0.223854	+	0.908212i
$714$	−7.34861	+	19.3767i	−0.275015	+	0.725154i
$715$	0.263039	+	0.398686i	0.00983709	+	0.0149100i
$716$	−0.241129	−	0.635804i	−0.00901140	−	0.0237611i
$717$	11.9875	−	8.27434i	0.447680	−	0.309011i
$718$	−14.8180	+	13.1276i	−0.553002	+	0.489917i
$719$	40.8372	+	10.0655i	1.52297	+	0.375379i	0.909960	−	0.414695i	$-0.136112\pi$
$719$	40.8372	+	10.0655i	1.52297	+	0.375379i	0.613011	+	0.790074i	$0.289958\pi$
$720$	1.71974	+	0.652211i	0.0640909	+	0.0243065i
$721$	25.9139	−	49.3749i	0.965086	−	1.83882i
$722$	18.5760	+	7.04493i	0.691326	+	0.262185i
$723$	−12.6019	−	14.2246i	−0.468669	−	0.529018i
$724$	−2.87916	+	2.55072i	−0.107003	+	0.0947966i
$725$	1.19825	−	1.73596i	0.0445017	−	0.0644719i
$726$	8.82495	+	6.09142i	0.327525	+	0.226074i
$727$	−6.45083	−	3.38566i	−0.239248	−	0.125567i	0.340839	−	0.940122i	$-0.389289\pi$
$727$	−6.45083	−	3.38566i	−0.239248	−	0.125567i	−0.580087	+	0.814555i	$0.696981\pi$
$728$	39.6969	+	10.6710i	1.47127	+	0.395494i
$729$	0.885456	−	0.464723i	0.0327947	−	0.0172120i
$730$	23.5183	+	2.85564i	0.870453	+	0.105692i
$731$	8.99122	−	2.21614i	0.332552	−	0.0819667i
$732$	7.40256	−	10.7245i	0.273607	−	0.396388i
$733$	−20.1047	+	13.8772i	−0.742583	+	0.512568i	−0.878259	−	0.478185i	$-0.841295\pi$
$733$	−20.1047	+	13.8772i	−0.742583	+	0.512568i	0.135676	+	0.990753i	$0.456679\pi$
$734$	−13.2966	+	15.0087i	−0.490785	+	0.553982i
$735$	−17.5570	−	2.13181i	−0.647600	−	0.0786329i
$736$	4.34633	−	17.6337i	0.160208	−	0.649988i
$737$	0.184253	+	0.0967036i	0.00678706	+	0.00356212i
$738$	1.18050	−	9.72227i	0.0434547	−	0.357882i
$739$	33.9840	−	4.12641i	1.25012	−	0.151792i	0.531419	−	0.847109i	$-0.321659\pi$
$739$	33.9840	−	4.12641i	1.25012	−	0.151792i	0.718703	+	0.695317i	$0.244736\pi$
$740$	10.9957	−	15.9300i	0.404210	−	0.585599i
$741$	18.3462	+	13.2392i	0.673965	+	0.486353i
$742$	7.27128	+	10.5343i	0.266937	+	0.386725i
$743$	9.97400	+	11.2583i	0.365911	+	0.413028i	0.902414	−	0.430871i	$-0.141794\pi$
$743$	9.97400	+	11.2583i	0.365911	+	0.413028i	−0.536503	+	0.843898i	$0.680255\pi$
$744$	−20.5081	−	5.05478i	−0.751862	−	0.185317i
$745$	4.75791	+	6.89302i	0.174316	+	0.252541i
$746$		−	33.7629i		−	1.23615i
$747$	2.75551	−	1.90199i	0.100819	−	0.0695902i
$748$	−0.333042	+	0.0404387i	−0.0121772	+	0.00147858i
$749$	37.7662	−	14.3228i	1.37995	−	0.523345i
$750$	−1.27600	+	10.5088i	−0.0465928	+	0.383726i
$751$	15.5664	+	41.0452i	0.568025	+	1.49776i	0.843865	+	0.536556i	$0.180275\pi$
$751$	15.5664	+	41.0452i	0.568025	+	1.49776i	−0.275840	+	0.961204i	$0.588956\pi$
$752$	1.93795	−	2.18750i	0.0706699	−	0.0797699i
$753$	−10.8308	−	9.59529i	−0.394698	−	0.349672i
$754$	25.2951	+	10.2041i	0.921195	+	0.371611i
$755$	30.4241	−	26.9534i	1.10724	−	0.980933i
$756$			4.02281i			0.146308i
$757$	1.29055	+	1.14332i	0.0469057	+	0.0415548i	0.686250	−	0.727366i	$-0.259256\pi$
$757$	1.29055	+	1.14332i	0.0469057	+	0.0415548i	−0.639344	+	0.768921i	$0.720794\pi$
$758$	−2.90444	+	0.715880i	−0.105494	+	0.0260019i
$759$	−0.166948	−	0.115236i	−0.00605981	−	0.00418279i
$760$	−40.0537	+	15.1904i	−1.45290	+	0.551012i
$761$	25.7556	−	9.76781i	0.933640	−	0.354083i	0.159572	−	0.987186i	$-0.448988\pi$
$761$	25.7556	−	9.76781i	0.933640	−	0.354083i	0.774067	+	0.633103i	$0.218219\pi$
$762$	1.77775	+	1.22709i	0.0644012	+	0.0444529i
$763$	11.1594	−	2.75054i	0.403996	−	0.0995761i
$764$	1.51756	+	1.34444i	0.0549033	+	0.0486401i
$765$		−	12.7258i		−	0.460102i
$766$	26.6990	−	23.6533i	0.964675	−	0.854628i
$767$	3.04725	+	13.5812i	0.110030	+	0.490387i
$768$	12.7540	+	11.2990i	0.460219	+	0.407719i
$769$	−0.508884	+	0.574411i	−0.0183508	+	0.0207138i	−0.757615	−	0.652702i	$-0.773635\pi$
$769$	−0.508884	+	0.574411i	−0.0183508	+	0.0207138i	0.739264	+

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:	\( N \)	\(=\)	\( 507 = 3 \cdot 13^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	507.p (of order \(26\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.911757 - 0.345784i) q^{2} +(0.568065 + 0.822984i) q^{3} +(-0.785288 - 0.695704i) q^{4} +(2.27932 + 0.276760i) q^{5} +(-0.233362 - 0.946788i) q^{6} +(1.78194 + 3.39521i) q^{7} +(1.38175 + 2.63271i) q^{8} +(-0.354605 + 0.935016i) q^{9} +(-1.98249 - 1.04049i) q^{10} +(-0.0539466 + 0.0204593i) q^{11} +(0.126459 - 1.04148i) q^{12} +(-1.20767 - 3.39728i) q^{13} +(-0.450690 - 3.71177i) q^{14} +(1.06703 + 2.03306i) q^{15} +(-0.0965561 - 0.795211i) q^{16} +(-4.90759 + 2.57570i) q^{17} +(0.646627 - 0.729891i) q^{18} +6.27486i q^{19} +(-1.59738 - 1.80307i) q^{20} +(-1.78194 + 3.39521i) q^{21} +0.0562607 q^{22} +3.51596 q^{23} +(-1.38175 + 2.63271i) q^{24} +(0.263995 + 0.0650689i) q^{25} +(-0.0736285 + 3.51509i) q^{26} +(-0.970942 + 0.239316i) q^{27} +(0.962722 - 3.90592i) q^{28} +(2.75100 - 7.25379i) q^{29} +(-0.269875 - 2.22262i) q^{30} +(1.70007 + 6.89744i) q^{31} +(1.23617 - 5.01534i) q^{32} +(-0.0474828 - 0.0327750i) q^{33} +(5.36517 - 0.651449i) q^{34} +(3.12196 + 8.23193i) q^{35} +(0.928962 - 0.487557i) q^{36} +(1.92301 + 7.80196i) q^{37} +(2.16974 - 5.72114i) q^{38} +(2.10988 - 2.92377i) q^{39} +(2.42083 + 6.38320i) q^{40} +(8.26566 - 5.70537i) q^{41} +(2.79870 - 2.47944i) q^{42} +(-1.62225 - 0.399848i) q^{43} +(0.0565972 + 0.0214645i) q^{44} +(-1.06703 + 2.03306i) q^{45} +(-3.20570 - 1.21576i) q^{46} +(2.41926 + 2.73079i) q^{47} +(0.599595 - 0.531195i) q^{48} +(-4.37566 + 6.33923i) q^{49} +(-0.218199 - 0.150612i) q^{50} +(-4.90759 - 2.57570i) q^{51} +(-1.41514 + 3.50802i) q^{52} +(-3.03124 + 1.59092i) q^{53} +(0.968014 + 0.117538i) q^{54} +(-0.128624 + 0.0317030i) q^{55} +(-6.47639 + 9.38267i) q^{56} +(-5.16410 + 3.56452i) q^{57} +(-5.01648 + 5.66244i) q^{58} +(-3.83224 - 0.465318i) q^{59} +(0.576481 - 2.33888i) q^{60} +(10.9982 + 5.77228i) q^{61} +(0.834976 - 6.87665i) q^{62} +(-3.80646 + 0.462188i) q^{63} +(-3.77141 + 5.46383i) q^{64} +(-1.81243 - 8.07773i) q^{65} +(0.0319597 + 0.0463016i) q^{66} +(-2.39165 - 2.69961i) q^{67} +(5.64580 + 1.39156i) q^{68} +(1.99729 + 2.89358i) q^{69} -8.58504i q^{70} +(7.11787 - 4.91311i) q^{71} +(-2.95160 + 0.358390i) q^{72} +(-9.89374 + 3.75220i) q^{73} +(0.944473 - 7.77843i) q^{74} +(0.0964155 + 0.254227i) q^{75} +(4.36544 - 4.92757i) q^{76} +(-0.165593 - 0.146703i) q^{77} +(-2.93469 + 1.93620i) q^{78} +(10.5509 - 9.34727i) q^{79} -1.83926i q^{80} +(-0.748511 - 0.663123i) q^{81} +(-9.50909 + 2.34378i) q^{82} +(-2.75551 - 1.90199i) q^{83} +(3.76140 - 1.42651i) q^{84} +(-11.8988 + 4.51263i) q^{85} +(1.34083 + 0.925510i) q^{86} +(7.53249 - 1.85659i) q^{87} +(-0.128404 - 0.113756i) q^{88} -15.4794i q^{89} +(1.67587 - 1.48469i) q^{90} +(9.38249 - 10.1540i) q^{91} +(-2.76104 - 2.44607i) q^{92} +(-4.71074 + 5.31732i) q^{93} +(-1.26152 - 3.32635i) q^{94} +(-1.73663 + 14.3024i) q^{95} +(4.82977 - 1.83169i) q^{96} +(3.45109 - 0.419038i) q^{97} +(6.18153 - 4.26681i) q^{98} -0.0576959i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 168 q - 14 q^{3} + 12 q^{4} - 14 q^{9} - 4 q^{10} + 12 q^{12} + 13 q^{13} + 2 q^{14} - 8 q^{16} - 4 q^{17} - 72 q^{22} + 48 q^{23} - 44 q^{25} - 39 q^{26} - 14 q^{27} + 45 q^{29} - 4 q^{30} - 26 q^{31}+ \cdots - 104 q^{98}+O(q^{100}) \) 168 * q - 14 * q^3 + 12 * q^4 - 14 * q^9 - 4 * q^10 + 12 * q^12 + 13 * q^13 + 2 * q^14 - 8 * q^16 - 4 * q^17 - 72 * q^22 + 48 * q^23 - 44 * q^25 - 39 * q^26 - 14 * q^27 + 45 * q^29 - 4 * q^30 - 26 * q^31 + 130 * q^32 + 13 * q^33 - 65 * q^34 - 35 * q^35 + 12 * q^36 + 61 * q^38 + 12 * q^40 - 63 * q^42 + 72 * q^43 - 39 * q^44 - 8 * q^48 - 68 * q^49 - 52 * q^50 - 4 * q^51 + 65 * q^52 - q^53 + 53 * q^55 - 14 * q^56 - 13 * q^57 - 26 * q^58 - 104 * q^59 + 117 * q^60 + 12 * q^61 + 49 * q^62 - 32 * q^64 - 52 * q^65 - 46 * q^66 + 26 * q^67 - 84 * q^68 - 4 * q^69 - 39 * q^71 - 52 * q^73 + 29 * q^74 + 8 * q^75 - 130 * q^76 + 60 * q^77 + 65 * q^78 + 14 * q^79 - 14 * q^81 + 45 * q^82 + 78 * q^83 - 13 * q^85 - 13 * q^86 - 46 * q^87 - 26 * q^88 - 4 * q^90 - 208 * q^91 + 82 * q^92 - 39 * q^93 + 25 * q^94 - 66 * q^95 + 65 * q^96 + 26 * q^97 - 104 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more