LMFDB - Embedded newform 798.2.ca.a.325.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [798,2,Mod(325,798)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(798, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 3, 1]))

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

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

chi := DirichletCharacter("798.325");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 798 = 2 \cdot 3 \cdot 7 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	798.ca (of order $18$, degree $6$, 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:	$6.37206208130$
Analytic rank:	$0$
Dimension:	$72$
Relative dimension:	$12$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			325.8
Character	$\chi$	$=$	798.325
Dual form			798.2.ca.a.523.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.342020 + 0.939693i) q^{2} +(0.939693 - 0.342020i) q^{3} +(-0.766044 + 0.642788i) q^{4} +(-0.915640 + 1.09122i) q^{5} +(0.642788 + 0.766044i) q^{6} +(-2.59405 - 0.520505i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(0.766044 - 0.642788i) q^{9} +O(q^{10})$	\(q+(0.342020 + 0.939693i) q^{2} +(0.939693 - 0.342020i) q^{3} +(-0.766044 + 0.642788i) q^{4} +(-0.915640 + 1.09122i) q^{5} +(0.642788 + 0.766044i) q^{6} +(-2.59405 - 0.520505i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(0.766044 - 0.642788i) q^{9} +(-1.33858 - 0.487202i) q^{10} +(-0.0822513 - 0.142463i) q^{11} +(-0.500000 + 0.866025i) q^{12} +(-3.44380 + 2.88969i) q^{13} +(-0.398101 - 2.61563i) q^{14} +(-0.487202 + 1.33858i) q^{15} +(0.173648 - 0.984808i) q^{16} +(-1.35447 + 1.61420i) q^{17} +(0.866025 + 0.500000i) q^{18} +(-3.71211 + 2.28479i) q^{19} -1.42448i q^{20} +(-2.61563 + 0.398101i) q^{21} +(0.105740 - 0.126016i) q^{22} +(-0.0279473 - 0.158497i) q^{23} +(-0.984808 - 0.173648i) q^{24} +(0.515882 + 2.92571i) q^{25} +(-3.89327 - 2.24778i) q^{26} +(0.500000 - 0.866025i) q^{27} +(2.32173 - 1.26869i) q^{28} +(-8.90919 + 1.57093i) q^{29} -1.42448 q^{30} -0.0415313 q^{31} +(0.984808 - 0.173648i) q^{32} +(-0.126016 - 0.105740i) q^{33} +(-1.98011 - 0.720699i) q^{34} +(2.94320 - 2.35407i) q^{35} +(-0.173648 + 0.984808i) q^{36} +(3.30077 - 1.90570i) q^{37} +(-3.41662 - 2.70680i) q^{38} +(-2.24778 + 3.89327i) q^{39} +(1.33858 - 0.487202i) q^{40} +(-3.44863 - 2.89374i) q^{41} +(-1.26869 - 2.32173i) q^{42} +(3.49529 - 1.27218i) q^{43} +(0.154582 + 0.0562632i) q^{44} +1.42448i q^{45} +(0.139380 - 0.0804710i) q^{46} +(-1.28207 - 1.52792i) q^{47} +(-0.173648 - 0.984808i) q^{48} +(6.45815 + 2.70043i) q^{49} +(-2.57283 + 1.48542i) q^{50} +(-0.720699 + 1.98011i) q^{51} +(0.780647 - 4.42727i) q^{52} +(-5.11119 - 6.09127i) q^{53} +(0.984808 + 0.173648i) q^{54} +(0.230771 + 0.0406912i) q^{55} +(1.98626 + 1.74779i) q^{56} +(-2.70680 + 3.41662i) q^{57} +(-4.52331 - 7.83461i) q^{58} +(9.02827 + 7.57562i) q^{59} +(-0.487202 - 1.33858i) q^{60} +(-0.0632577 + 0.0111540i) q^{61} +(-0.0142046 - 0.0390267i) q^{62} +(-2.32173 + 1.26869i) q^{63} +(0.500000 + 0.866025i) q^{64} -6.40386i q^{65} +(0.0562632 - 0.154582i) q^{66} +(-0.186119 + 0.511357i) q^{67} -2.10718i q^{68} +(-0.0804710 - 0.139380i) q^{69} +(3.21874 + 1.96056i) q^{70} +(-1.22664 - 3.37017i) q^{71} +(-0.984808 + 0.173648i) q^{72} +(4.07533 + 11.1969i) q^{73} +(2.91970 + 2.44992i) q^{74} +(1.48542 + 2.57283i) q^{75} +(1.37500 - 4.13635i) q^{76} +(0.139211 + 0.412369i) q^{77} +(-4.42727 - 0.780647i) q^{78} +(7.76585 + 1.36933i) q^{79} +(0.915640 + 1.09122i) q^{80} +(0.173648 - 0.984808i) q^{81} +(1.53973 - 4.23037i) q^{82} +(-9.14536 + 5.28007i) q^{83} +(1.74779 - 1.98626i) q^{84} +(-0.521231 - 2.95605i) q^{85} +(2.39092 + 2.84939i) q^{86} +(-7.83461 + 4.52331i) q^{87} +0.164503i q^{88} +(8.06976 + 2.93715i) q^{89} +(-1.33858 + 0.487202i) q^{90} +(10.4375 - 5.70348i) q^{91} +(0.123289 + 0.103451i) q^{92} +(-0.0390267 + 0.0142046i) q^{93} +(0.997276 - 1.72733i) q^{94} +(0.905752 - 6.14276i) q^{95} +(0.866025 - 0.500000i) q^{96} +(-1.36476 + 7.73995i) q^{97} +(-0.328754 + 6.99228i) q^{98} +(-0.154582 - 0.0562632i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 72 q - 6 q^{7}+O(q^{10}) $ 72 * q - 6 * q^7	$ 72 q - 6 q^{7} + 6 q^{10} + 6 q^{11} - 36 q^{12} + 30 q^{13} - 12 q^{14} + 18 q^{17} + 54 q^{19} - 12 q^{21} + 12 q^{22} - 6 q^{23} + 24 q^{25} + 18 q^{26} + 36 q^{27} + 6 q^{28} - 12 q^{31} - 6 q^{33} + 6 q^{34} - 24 q^{35} + 18 q^{37} - 24 q^{38} - 6 q^{40} + 18 q^{42} + 6 q^{43} - 6 q^{44} + 18 q^{46} - 18 q^{47} + 12 q^{49} + 42 q^{52} - 12 q^{53} - 30 q^{55} + 18 q^{56} + 6 q^{57} - 78 q^{59} - 42 q^{61} - 12 q^{62} - 6 q^{63} + 36 q^{64} - 6 q^{66} - 6 q^{67} + 6 q^{69} - 54 q^{70} + 6 q^{71} + 12 q^{73} - 6 q^{75} - 18 q^{76} + 48 q^{77} - 12 q^{78} - 12 q^{79} + 12 q^{82} + 18 q^{83} - 6 q^{84} + 84 q^{85} + 6 q^{86} - 24 q^{89} + 6 q^{90} + 48 q^{91} + 6 q^{92} + 48 q^{93} - 18 q^{94} - 120 q^{95} + 30 q^{97} + 60 q^{98} + 6 q^{99}+O(q^{100}) $ 72 * q - 6 * q^7 + 6 * q^10 + 6 * q^11 - 36 * q^12 + 30 * q^13 - 12 * q^14 + 18 * q^17 + 54 * q^19 - 12 * q^21 + 12 * q^22 - 6 * q^23 + 24 * q^25 + 18 * q^26 + 36 * q^27 + 6 * q^28 - 12 * q^31 - 6 * q^33 + 6 * q^34 - 24 * q^35 + 18 * q^37 - 24 * q^38 - 6 * q^40 + 18 * q^42 + 6 * q^43 - 6 * q^44 + 18 * q^46 - 18 * q^47 + 12 * q^49 + 42 * q^52 - 12 * q^53 - 30 * q^55 + 18 * q^56 + 6 * q^57 - 78 * q^59 - 42 * q^61 - 12 * q^62 - 6 * q^63 + 36 * q^64 - 6 * q^66 - 6 * q^67 + 6 * q^69 - 54 * q^70 + 6 * q^71 + 12 * q^73 - 6 * q^75 - 18 * q^76 + 48 * q^77 - 12 * q^78 - 12 * q^79 + 12 * q^82 + 18 * q^83 - 6 * q^84 + 84 * q^85 + 6 * q^86 - 24 * q^89 + 6 * q^90 + 48 * q^91 + 6 * q^92 + 48 * q^93 - 18 * q^94 - 120 * q^95 + 30 * q^97 + 60 * q^98 + 6 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/798\mathbb{Z}\right)^\times$.

$n$	$115$	$211$	$533$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{18}\right)$	$1$

Coefficient data

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

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

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

$2$	0.342020	+	0.939693i	0.241845	+	0.664463i
$2$	0.342020	+	0.939693i	0.241845	+	0.664463i
$3$	0.939693	−	0.342020i	0.542532	−	0.197465i
$3$	0.939693	−	0.342020i	0.542532	−	0.197465i
$4$	−0.766044	+	0.642788i	−0.383022	+	0.321394i
$5$	−0.915640	+	1.09122i	−0.409487	+	0.488007i	−0.930888	−	0.365304i	$-0.880965\pi$
$5$	−0.915640	+	1.09122i	−0.409487	+	0.488007i	0.521402	+	0.853311i	$0.325409\pi$
$6$	0.642788	+	0.766044i	0.262417	+	0.312736i
$7$	−2.59405	−	0.520505i	−0.980457	−	0.196732i
$7$	−2.59405	−	0.520505i	−0.980457	−	0.196732i
$8$	−0.866025	−	0.500000i	−0.306186	−	0.176777i
$9$	0.766044	−	0.642788i	0.255348	−	0.214263i
$10$	−1.33858	−	0.487202i	−0.423295	−	0.154067i
$11$	−0.0822513	−	0.142463i	−0.0247997	−	0.0429544i	0.853359	−	0.521323i	$-0.174561\pi$
$11$	−0.0822513	−	0.142463i	−0.0247997	−	0.0429544i	−0.878159	+	0.478369i	$0.841228\pi$
$12$	−0.500000	+	0.866025i	−0.144338	+	0.250000i
$13$	−3.44380	+	2.88969i	−0.955139	+	0.801457i	−0.980155	−	0.198230i	$-0.936481\pi$
$13$	−3.44380	+	2.88969i	−0.955139	+	0.801457i	0.0250164	+	0.999687i	$0.492036\pi$
$14$	−0.398101	−	2.61563i	−0.106397	−	0.699056i
$15$	−0.487202	+	1.33858i	−0.125795	+	0.345619i
$16$	0.173648	−	0.984808i	0.0434120	−	0.246202i
$17$	−1.35447	+	1.61420i	−0.328508	+	0.391500i	−0.904866	−	0.425697i	$-0.860029\pi$
$17$	−1.35447	+	1.61420i	−0.328508	+	0.391500i	0.576358	+	0.817197i	$0.304473\pi$
$18$	0.866025	+	0.500000i	0.204124	+	0.117851i
$19$	−3.71211	+	2.28479i	−0.851616	+	0.524167i
$19$	−3.71211	+	2.28479i	−0.851616	+	0.524167i
$20$		−	1.42448i		−	0.318524i
$21$	−2.61563	+	0.398101i	−0.570777	+	0.0868729i
$22$	0.105740	−	0.126016i	0.0225439	−	0.0268668i
$23$	−0.0279473	−	0.158497i	−0.00582741	−	0.0330489i	0.981755	−	0.190148i	$-0.0608968\pi$
$23$	−0.0279473	−	0.158497i	−0.00582741	−	0.0330489i	−0.987583	+	0.157099i	$0.949786\pi$
$24$	−0.984808	−	0.173648i	−0.201023	−	0.0354458i
$25$	0.515882	+	2.92571i	0.103176	+	0.585143i
$26$	−3.89327	−	2.24778i	−0.763534	−	0.440826i
$27$	0.500000	−	0.866025i	0.0962250	−	0.166667i
$28$	2.32173	−	1.26869i	0.438765	−	0.239760i
$29$	−8.90919	+	1.57093i	−1.65439	+	0.291714i	−0.921428	−	0.388550i	$-0.872976\pi$
$29$	−8.90919	+	1.57093i	−1.65439	+	0.291714i	−0.732967	+	0.680264i	$0.761865\pi$
$30$	−1.42448			−0.260074
$31$	−0.0415313			−0.00745925			−0.00372962	−	0.999993i	$-0.501187\pi$
$31$	−0.0415313			−0.00745925			−0.00372962	+	0.999993i	$0.501187\pi$
$32$	0.984808	−	0.173648i	0.174091	−	0.0306970i
$33$	−0.126016	−	0.105740i	−0.0219366	−	0.0184070i
$34$	−1.98011	−	0.720699i	−0.339585	−	0.123599i
$35$	2.94320	−	2.35407i	0.497491	−	0.397911i
$36$	−0.173648	+	0.984808i	−0.0289414	+	0.164135i
$37$	3.30077	−	1.90570i	0.542644	−	0.313295i	−0.203506	−	0.979074i	$-0.565234\pi$
$37$	3.30077	−	1.90570i	0.542644	−	0.313295i	0.746150	+	0.665778i	$0.231900\pi$
$38$	−3.41662	−	2.70680i	−0.554248	−	0.439100i
$39$	−2.24778	+	3.89327i	−0.359933	+	0.623423i
$40$	1.33858	−	0.487202i	0.211647	−	0.0770334i
$41$	−3.44863	−	2.89374i	−0.538586	−	0.451927i	0.332468	−	0.943114i	$-0.392119\pi$
$41$	−3.44863	−	2.89374i	−0.538586	−	0.451927i	−0.871054	+	0.491187i	$0.836563\pi$
$42$	−1.26869	−	2.32173i	−0.195763	−	0.358250i
$43$	3.49529	−	1.27218i	0.533027	−	0.194006i	−0.0614622	−	0.998109i	$-0.519576\pi$
$43$	3.49529	−	1.27218i	0.533027	−	0.194006i	0.594490	+	0.804103i	$0.297354\pi$
$44$	0.154582	+	0.0562632i	0.0233041	+	0.00848200i
$45$			1.42448i			0.212349i
$46$	0.139380	−	0.0804710i	0.0205504	−	0.0118648i
$47$	−1.28207	−	1.52792i	−0.187010	−	0.222869i	0.664391	−	0.747385i	$-0.268691\pi$
$47$	−1.28207	−	1.52792i	−0.187010	−	0.222869i	−0.851401	+	0.524516i	$0.824246\pi$
$48$	−0.173648	−	0.984808i	−0.0250640	−	0.142145i
$49$	6.45815	+	2.70043i	0.922593	+	0.385775i
$50$	−2.57283	+	1.48542i	−0.363853	+	0.210071i
$51$	−0.720699	+	1.98011i	−0.100918	+	0.277270i
$52$	0.780647	−	4.42727i	0.108256	−	0.613952i
$53$	−5.11119	−	6.09127i	−0.702075	−	0.836701i	0.290684	−	0.956819i	$-0.406117\pi$
$53$	−5.11119	−	6.09127i	−0.702075	−	0.836701i	−0.992760	+	0.120118i	$0.961673\pi$
$54$	0.984808	+	0.173648i	0.134015	+	0.0236305i
$55$	0.230771	+	0.0406912i	0.0311172	+	0.00548680i
$56$	1.98626	+	1.74779i	0.265425	+	0.233559i
$57$	−2.70680	+	3.41662i	−0.358524	+	0.452542i
$58$	−4.52331	−	7.83461i	−0.593940	−	1.02873i
$59$	9.02827	+	7.57562i	1.17538	+	0.986261i	0.999998	+	0.00176086i	$0.000560500\pi$
$59$	9.02827	+	7.57562i	1.17538	+	0.986261i	0.175382	+	0.984500i	$0.443884\pi$
$60$	−0.487202	−	1.33858i	−0.0628975	−	0.172809i
$61$	−0.0632577	+	0.0111540i	−0.00809932	+	0.00142813i	−0.177696	−	0.984085i	$-0.556864\pi$
$61$	−0.0632577	+	0.0111540i	−0.00809932	+	0.00142813i	0.169597	+	0.985513i	$0.445753\pi$
$62$	−0.0142046	−	0.0390267i	−0.00180398	−	0.00495640i
$63$	−2.32173	+	1.26869i	−0.292510	+	0.159840i
$64$	0.500000	+	0.866025i	0.0625000	+	0.108253i
$65$		−	6.40386i		−	0.794301i
$66$	0.0562632	−	0.154582i	0.00692552	−	0.0190277i
$67$	−0.186119	+	0.511357i	−0.0227380	+	0.0624722i	−0.950542	−	0.310595i	$-0.899472\pi$
$67$	−0.186119	+	0.511357i	−0.0227380	+	0.0624722i	0.927804	+	0.373067i	$0.121694\pi$
$68$		−	2.10718i		−	0.255534i
$69$	−0.0804710	−	0.139380i	−0.00968756	−	0.0167794i
$70$	3.21874	+	1.96056i	0.384713	+	0.234332i
$71$	−1.22664	−	3.37017i	−0.145576	−	0.399966i	0.845378	−	0.534168i	$-0.179375\pi$
$71$	−1.22664	−	3.37017i	−0.145576	−	0.399966i	−0.990954	+	0.134202i	$0.957153\pi$
$72$	−0.984808	+	0.173648i	−0.116061	+	0.0204646i
$73$	4.07533	+	11.1969i	0.476982	+	1.31050i	0.912043	+	0.410095i	$0.134505\pi$
$73$	4.07533	+	11.1969i	0.476982	+	1.31050i	−0.435061	+	0.900401i	$0.643273\pi$
$74$	2.91970	+	2.44992i	0.339409	+	0.284798i
$75$	1.48542	+	2.57283i	0.171522	+	0.297085i
$76$	1.37500	−	4.13635i	0.157724	−	0.474471i
$77$	0.139211	+	0.412369i	0.0158645	+	0.0469938i
$78$	−4.42727	−	0.780647i	−0.501289	−	0.0883908i
$79$	7.76585	+	1.36933i	0.873727	+	0.154062i	0.592491	−	0.805577i	$-0.298145\pi$
$79$	7.76585	+	1.36933i	0.873727	+	0.154062i	0.281236	+	0.959639i	$0.409256\pi$
$80$	0.915640	+	1.09122i	0.102372	+	0.122002i
$81$	0.173648	−	0.984808i	0.0192942	−	0.109423i
$82$	1.53973	−	4.23037i	0.170035	−	0.467166i
$83$	−9.14536	+	5.28007i	−1.00383	+	0.579563i	−0.909380	−	0.415966i	$-0.863444\pi$
$83$	−9.14536	+	5.28007i	−1.00383	+	0.579563i	−0.0944531	+	0.995529i	$0.530110\pi$
$84$	1.74779	−	1.98626i	0.190700	−	0.216718i
$85$	−0.521231	−	2.95605i	−0.0565354	−	0.320628i
$86$	2.39092	+	2.84939i	0.257820	+	0.307258i
$87$	−7.83461	+	4.52331i	−0.839958	+	0.484950i
$88$			0.164503i			0.0175360i
$89$	8.06976	+	2.93715i	0.855393	+	0.311338i	0.732237	−	0.681050i	$-0.238476\pi$
$89$	8.06976	+	2.93715i	0.855393	+	0.311338i	0.123156	+	0.992387i	$0.460699\pi$
$90$	−1.33858	+	0.487202i	−0.141098	+	0.0513556i
$91$	10.4375	−	5.70348i	1.09415	−	0.597887i
$92$	0.123289	+	0.103451i	0.0128537	+	0.0107856i
$93$	−0.0390267	+	0.0142046i	−0.00404688	+	0.00147294i
$94$	0.997276	−	1.72733i	0.102861	−	0.178161i
$95$	0.905752	−	6.14276i	0.0929281	−	0.630234i
$96$	0.866025	−	0.500000i	0.0883883	−	0.0510310i
$97$	−1.36476	+	7.73995i	−0.138571	+	0.785873i	0.833736	+	0.552164i	$0.186198\pi$
$97$	−1.36476	+	7.73995i	−0.138571	+	0.785873i	−0.972306	+	0.233710i	$0.924914\pi$
$98$	−0.328754	+	6.99228i	−0.0332092	+	0.706327i
$99$	−0.154582	−	0.0562632i	−0.0155361	−	0.00565467i
$100$	−2.27580	−	1.90962i	−0.227580	−	0.190962i
$101$	−2.08531	+	0.367696i	−0.207496	+	0.0365871i	−0.276430	−	0.961034i	$-0.589151\pi$
$101$	−2.08531	+	0.367696i	−0.207496	+	0.0365871i	0.0689339	+	0.997621i	$0.478040\pi$
$102$	−2.10718			−0.208642
$103$	7.71042			0.759730			0.379865	−	0.925042i	$-0.375970\pi$
$103$	7.71042			0.759730			0.379865	+	0.925042i	$0.375970\pi$
$104$	4.42727	−	0.780647i	0.434129	−	0.0765487i
$105$	1.96056	−	3.21874i	0.191331	−	0.314117i
$106$	3.97580	−	6.88628i	0.386163	−	0.668855i
$107$	−2.42800	−	1.40181i	−0.234724	−	0.135518i	0.378025	−	0.925795i	$-0.376603\pi$
$107$	−2.42800	−	1.40181i	−0.234724	−	0.135518i	−0.612749	+	0.790277i	$0.709937\pi$
$108$	0.173648	+	0.984808i	0.0167093	+	0.0947632i
$109$	−12.8155	−	2.25973i	−1.22751	−	0.216442i	−0.477952	−	0.878386i	$-0.658621\pi$
$109$	−12.8155	−	2.25973i	−1.22751	−	0.216442i	−0.749554	+	0.661943i	$0.769732\pi$
$110$	0.0406912	+	0.230771i	0.00387975	+	0.0220032i
$111$	2.44992	−	2.91970i	0.232536	−	0.277126i
$112$	−0.963049	+	2.46425i	−0.0909995	+	0.232850i
$113$			8.53159i			0.802584i	0.915950	+	0.401292i	$0.131439\pi$
$113$			8.53159i			0.802584i	−0.915950	+	0.401292i	$0.868561\pi$
$114$	−4.13635	−	1.37500i	−0.387404	−	0.128781i
$115$	0.198544	+	0.114629i	0.0185143	+	0.0106893i
$116$	5.81506	−	6.93012i	0.539915	−	0.643445i
$117$	−0.780647	+	4.42727i	−0.0721708	+	0.409301i
$118$	−4.03090	+	11.0748i	−0.371075	+	1.01952i
$119$	4.35376	−	3.48229i	0.399108	−	0.319221i
$120$	1.09122	−	0.915640i	0.0996140	−	0.0835861i
$121$	5.48647	−	9.50284i	0.498770	−	0.863895i
$122$	−0.0321168	−	0.0556279i	−0.00290772	−	0.00503631i
$123$	−4.23037	−	1.53973i	−0.381440	−	0.138833i
$124$	0.0318149	−	0.0266958i	0.00285706	−	0.00239736i
$125$	−9.83314	−	5.67717i	−0.879503	−	0.507781i
$126$	−1.98626	−	1.74779i	−0.176950	−	0.155706i
$127$	8.85733	+	10.5558i	0.785961	+	0.936672i	0.999186	−	0.0403310i	$-0.0128412\pi$
$127$	8.85733	+	10.5558i	0.785961	+	0.936672i	−0.213225	+	0.977003i	$0.568397\pi$
$128$	−0.642788	+	0.766044i	−0.0568149	+	0.0677094i
$129$	2.84939	−	2.39092i	0.250875	−	0.210509i
$130$	6.01766	−	2.19025i	0.527783	−	0.192097i
$131$	−2.91105	−	7.99803i	−0.254339	−	0.698791i	−0.999491	−	0.0318966i	$-0.989845\pi$
$131$	−2.91105	−	7.99803i	−0.254339	−	0.698791i	0.745152	−	0.666895i	$-0.232377\pi$
$132$	0.164503			0.0143181
$133$	10.8186	−	3.99468i	0.938093	−	0.346383i
$134$	−0.544175			−0.0470096
$135$	0.487202	+	1.33858i	0.0419317	+	0.115206i
$136$	1.98011	−	0.720699i	0.169793	−	0.0617995i
$137$	−3.24497	+	2.72285i	−0.277236	+	0.232629i	−0.770795	−	0.637084i	$-0.780141\pi$
$137$	−3.24497	+	2.72285i	−0.277236	+	0.232629i	0.493558	+	0.869713i	$0.335696\pi$
$138$	0.103451	−	0.123289i	0.00880637	−	0.0104950i
$139$	0.694119	+	0.827219i	0.0588744	+	0.0701638i	0.794678	−	0.607031i	$-0.207640\pi$
$139$	0.694119	+	0.827219i	0.0588744	+	0.0701638i	−0.735804	+	0.677195i	$0.763195\pi$
$140$	−0.741450	+	3.69517i	−0.0626640	+	0.312299i
$141$	−1.72733	−	0.997276i	−0.145468	−	0.0839858i
$142$	2.74739	−	2.30533i	0.230556	−	0.193459i
$143$	0.694933	+	0.252935i	0.0581132	+	0.0211515i
$144$	−0.500000	−	0.866025i	−0.0416667	−	0.0721688i
$145$	6.44338	−	11.1603i	0.535094	−	0.926810i
$146$	−9.12778	+	7.65912i	−0.755421	+	0.633873i
$147$	6.99228	+	0.328754i	0.576713	+	0.0271152i
$148$	−1.30358	+	3.58155i	−0.107153	+	0.294401i
$149$	1.84498	−	10.4634i	0.151146	−	0.857194i	−0.811078	−	0.584938i	$-0.801119\pi$
$149$	1.84498	−	10.4634i	0.151146	−	0.857194i	0.962225	−	0.272257i	$-0.0877699\pi$
$150$	−1.90962	+	2.27580i	−0.155920	+	0.185818i
$151$	−8.41494	−	4.85837i	−0.684798	−	0.395368i	0.116862	−	0.993148i	$-0.462716\pi$
$151$	−8.41494	−	4.85837i	−0.684798	−	0.395368i	−0.801660	+	0.597780i	$0.796050\pi$
$152$	4.35717	−	0.122632i	0.353413	−	0.00994681i
$153$			2.10718i			0.170356i
$154$	−0.339887	+	0.271854i	−0.0273889	+	0.0219066i
$155$	0.0380278	−	0.0453197i	0.00305446	−	0.00364017i
$156$	−0.780647	−	4.42727i	−0.0625018	−	0.354465i
$157$	15.6735	+	2.76367i	1.25088	+	0.220565i	0.759574	−	0.650420i	$-0.225407\pi$
$157$	15.6735	+	2.76367i	1.25088	+	0.220565i	0.491310	+	0.870985i	$0.336518\pi$
$158$	1.36933	+	7.76585i	0.108938	+	0.617818i
$159$	−6.88628	−	3.97580i	−0.546118	−	0.315301i
$160$	−0.712241	+	1.23364i	−0.0563076	+	0.0975277i
$161$	−0.0100019	+	0.425695i	−0.000788257	+	0.0335494i
$162$	0.984808	−	0.173648i	0.0773738	−	0.0136431i
$163$	6.91071			0.541289			0.270644	−	0.962679i	$-0.412763\pi$
$163$	6.91071			0.541289			0.270644	+	0.962679i	$0.412763\pi$
$164$	4.50187			0.351537
$165$	0.230771	−	0.0406912i	0.0179655	−	0.00316780i
$166$	−8.08954	−	6.78793i	−0.627870	−	0.526846i
$167$	0.377661	+	0.137458i	0.0292243	+	0.0106368i	0.356591	−	0.934261i	$-0.383939\pi$
$167$	0.377661	+	0.137458i	0.0292243	+	0.0106368i	−0.327367	+	0.944897i	$0.606161\pi$
$168$	2.46425	+	0.963049i	0.190121	+	0.0743008i
$169$	1.25202	−	7.10057i	0.0963094	−	0.546198i
$170$	2.59950	−	1.50082i	0.199373	−	0.115108i
$171$	−1.37500	+	4.13635i	−0.105149	+	0.316314i
$172$	−1.85981	+	3.22128i	−0.141809	+	0.245620i
$173$	−13.7879	+	5.01838i	−1.04827	+	0.381540i	−0.808011	−	0.589168i	$-0.799456\pi$
$173$	−13.7879	+	5.01838i	−1.04827	+	0.381540i	−0.240262	+	0.970708i	$0.577233\pi$
$174$	−6.93012	−	5.81506i	−0.525371	−	0.440839i
$175$	0.184626	−	7.85796i	0.0139564	−	0.594006i
$176$	−0.154582	+	0.0562632i	−0.0116521	+	0.00424100i
$177$	11.0748	+	4.03090i	0.832434	+	0.302981i
$178$			8.58766i			0.643672i
$179$	11.0058	−	6.35421i	0.822613	−	0.474936i	−0.0287040	−	0.999588i	$-0.509138\pi$
$179$	11.0058	−	6.35421i	0.822613	−	0.474936i	0.851317	+	0.524652i	$0.175805\pi$
$180$	−0.915640	−	1.09122i	−0.0682478	−	0.0813345i
$181$	2.15184	+	12.2037i	0.159945	+	0.907092i	0.954125	+	0.299409i	$0.0967896\pi$
$181$	2.15184	+	12.2037i	0.159945	+	0.907092i	−0.794180	+	0.607683i	$0.792099\pi$
$182$	8.92935	+	7.85732i	0.661887	+	0.582423i
$183$	−0.0556279	+	0.0321168i	−0.00411213	+	0.00237414i
$184$	−0.0550454	+	0.151236i	−0.00405800	+	0.0111493i
$185$	−0.942784	+	5.34680i	−0.0693149	+	0.393104i
$186$	−0.0266958	−	0.0318149i	−0.00195743	−	0.00233278i
$187$	0.341371	+	0.0601929i	0.0249635	+	0.00440174i
$188$	1.96425	+	0.346350i	0.143258	+	0.0252602i
$189$	−1.74779	+	1.98626i	−0.127133	+	0.144479i
$190$	6.08209	−	1.24982i	0.441241	−	0.0906714i
$191$	8.18060	+	14.1692i	0.591927	+	1.02525i	0.993973	+	0.109628i	$0.0349660\pi$
$191$	8.18060	+	14.1692i	0.591927	+	1.02525i	−0.402046	+	0.915620i	$0.631701\pi$
$192$	0.766044	+	0.642788i	0.0552845	+	0.0463892i
$193$	2.85581	+	7.84626i	0.205565	+	0.564786i	0.999040	−	0.0438176i	$-0.0139520\pi$
$193$	2.85581	+	7.84626i	0.205565	+	0.564786i	−0.793474	+	0.608604i	$0.791730\pi$
$194$	−7.73995	+	1.36476i	−0.555696	+	0.0979842i
$195$	−2.19025	−	6.01766i	−0.156847	−	0.430933i
$196$	−6.68303	+	2.08257i	−0.477359	+	0.148755i
$197$	−7.64850	−	13.2476i	−0.544933	−	0.943852i	−0.998611	−	0.0526863i	$-0.983222\pi$
$197$	−7.64850	−	13.2476i	−0.544933	−	0.943852i	0.453678	−	0.891166i	$-0.350112\pi$
$198$		−	0.164503i		−	0.0116907i
$199$	−6.96248	+	19.1293i	−0.493557	+	1.35604i	0.403847	+	0.914827i	$0.367673\pi$
$199$	−6.96248	+	19.1293i	−0.493557	+	1.35604i	−0.897404	+	0.441210i	$0.854549\pi$
$200$	1.01609	−	2.79168i	0.0718484	−	0.197402i
$201$			0.544175i			0.0383832i
$202$	−1.05874	−	1.83379i	−0.0744926	−	0.129025i
$203$	23.9285	+	0.562210i	1.67945	+	0.0394594i
$204$	−0.720699	−	1.98011i	−0.0504591	−	0.138635i
$205$	6.31541	−	1.11358i	0.441087	−	0.0777756i
$206$	2.63712	+	7.24543i	0.183737	+	0.504813i
$207$	−0.123289	−	0.103451i	−0.00856915	−	0.00719037i
$208$	2.24778	+	3.89327i	0.155856	+	0.269950i
$209$	0.630825	+	0.340913i	0.0436351	+	0.0235814i
$210$	3.69517	+	0.741450i	0.254991	+	0.0511649i
$211$	21.4275	+	3.77825i	1.47513	+	0.260105i	0.852630	−	0.522515i	$-0.175006\pi$
$211$	21.4275	+	3.77825i	1.47513	+	0.260105i	0.622500	+	0.782620i	$0.286117\pi$
$212$	7.83079	+	1.38078i	0.537821	+	0.0948323i
$213$	−2.30533	−	2.74739i	−0.157959	−	0.188248i
$214$	0.486843	−	2.76102i	0.0332799	−	0.188740i
$215$	−1.81220	+	4.97899i	−0.123591	+	0.339564i
$216$	−0.866025	+	0.500000i	−0.0589256	+	0.0340207i
$217$	0.107734	+	0.0216173i	0.00731348	+	0.00146748i
$218$	−2.25973	−	12.8155i	−0.153048	−	0.867978i
$219$	7.65912	+	9.12778i	0.517555	+	0.616798i
$220$	−0.202937	+	0.117166i	−0.0136820	+	0.00789930i
$221$		−	9.47298i		−	0.637222i
$222$	3.58155	+	1.30358i	0.240378	+	0.0874903i
$223$	−22.5897	+	8.22196i	−1.51272	+	0.550583i	−0.959316	−	0.282333i	$-0.908892\pi$
$223$	−22.5897	+	8.22196i	−1.51272	+	0.550583i	−0.553399	+	0.832916i	$0.686669\pi$
$224$	−2.64502	−	0.0621458i	−0.176728	−	0.00415229i
$225$	2.27580	+	1.90962i	0.151720	+	0.127308i
$226$	−8.01707	+	2.91798i	−0.533288	+	0.194101i
$227$	−12.4305	+	21.5303i	−0.825042	+	1.42901i	0.0768458	+	0.997043i	$0.475515\pi$
$227$	−12.4305	+	21.5303i	−0.825042	+	1.42901i	−0.901887	+	0.431971i	$0.857818\pi$
$228$	−0.122632	−	4.35717i	−0.00812154	−	0.288561i
$229$	−4.64563	+	2.68216i	−0.306992	+	0.177242i	−0.645580	−	0.763693i	$-0.723384\pi$
$229$	−4.64563	+	2.68216i	−0.306992	+	0.177242i	0.338588	+	0.940935i	$0.390051\pi$
$230$	−0.0398104	+	0.225776i	−0.00262502	+	0.0148872i
$231$	0.271854	+	0.339887i	0.0178867	+	0.0223629i
$232$	8.50105	+	3.09413i	0.558121	+	0.203140i
$233$	−10.9325	−	9.17346i	−0.716213	−	0.600974i	0.210122	−	0.977675i	$-0.432614\pi$
$233$	−10.9325	−	9.17346i	−0.716213	−	0.600974i	−0.926335	+	0.376701i	$0.877058\pi$
$234$	−4.42727	+	0.780647i	−0.289420	+	0.0510325i
$235$	2.84121			0.185340
$236$	−11.7856			−0.767175
$237$	7.76585	−	1.36933i	0.504446	−	0.0889475i
$238$	4.76136	+	2.90018i	0.308633	+	0.187991i
$239$	−13.8566	+	24.0003i	−0.896308	+	1.55245i	−0.0641317	+	0.997941i	$0.520428\pi$
$239$	−13.8566	+	24.0003i	−0.896308	+	1.55245i	−0.832177	+	0.554510i	$0.812906\pi$
$240$	1.23364	+	0.712241i	0.0796310	+	0.0459750i
$241$	−1.54581	−	8.76672i	−0.0995743	−	0.564714i	−0.993249	−	0.115999i	$-0.962993\pi$
$241$	−1.54581	−	8.76672i	−0.0995743	−	0.564714i	0.893675	−	0.448715i	$-0.148118\pi$
$242$	10.8062	+	1.90543i	0.694651	+	0.122486i
$243$	−0.173648	−	0.984808i	−0.0111395	−	0.0631754i
$244$	0.0412885	−	0.0492057i	0.00264323	−	0.00315007i
$245$	−8.86009	+	4.57463i	−0.566051	+	0.292262i
$246$		−	4.50187i		−	0.287029i
$247$	6.18142	−	18.5952i	0.393314	−	1.18319i
$248$	0.0359672	+	0.0207657i	0.00228392	+	0.00131862i
$249$	−6.78793	+	8.08954i	−0.430168	+	0.512654i
$250$	1.97166	−	11.1818i	0.124699	−	0.707202i
$251$	6.42887	−	17.6632i	0.405787	−	1.11489i	−0.553597	−	0.832785i	$-0.686745\pi$
$251$	6.42887	−	17.6632i	0.405787	−	1.11489i	0.959383	−	0.282105i	$-0.0910327\pi$
$252$	0.963049	−	2.46425i	0.0606664	−	0.155233i
$253$	−0.0202813	+	0.0170180i	−0.00127507	+	0.00106991i
$254$	−6.88978	+	11.9335i	−0.432303	+	0.748771i
$255$	−1.50082	−	2.59950i	−0.0939852	−	0.162787i
$256$	−0.939693	−	0.342020i	−0.0587308	−	0.0213763i
$257$	−17.3348	+	14.5456i	−1.08131	+	0.907330i	−0.996029	−	0.0890267i	$-0.971624\pi$
$257$	−17.3348	+	14.5456i	−1.08131	+	0.907330i	−0.0852844	+	0.996357i	$0.527180\pi$
$258$	3.22128	+	1.85981i	0.200548	+	0.115787i
$259$	−9.55428	+	3.22541i	−0.593674	+	0.200417i
$260$	4.11632	+	4.90564i	0.255283	+	0.304235i
$261$	−5.81506	+	6.93012i	−0.359943	+	0.428964i
$262$	6.52006	−	5.47098i	0.402810	−	0.337998i
$263$	1.47124	−	0.535487i	0.0907205	−	0.0330195i	−0.296261	−	0.955107i	$-0.595740\pi$
$263$	1.47124	−	0.535487i	0.0907205	−	0.0330195i	0.386982	+	0.922087i	$0.373518\pi$
$264$	0.0562632	+	0.154582i	0.00346276	+	0.00951386i
$265$	11.3269			0.695806
$266$	7.45396	+	8.79992i	0.457031	+	0.539557i
$267$	8.58766			0.525556
$268$	−0.186119	−	0.511357i	−0.0113690	−	0.0312361i
$269$	8.62934	−	3.14082i	0.526140	−	0.191499i	−0.0652741	−	0.997867i	$-0.520792\pi$
$269$	8.62934	−	3.14082i	0.526140	−	0.191499i	0.591414	+	0.806368i	$0.298570\pi$
$270$	−1.09122	+	0.915640i	−0.0664094	+	0.0557241i
$271$	19.7749	−	23.5669i	1.20124	−	1.43159i	0.327739	−	0.944768i	$-0.393714\pi$
$271$	19.7749	−	23.5669i	1.20124	−	1.43159i	0.873504	−	0.486817i	$-0.161842\pi$
$272$	1.35447	+	1.61420i	0.0821269	+	0.0978751i
$273$	7.85732	−	8.92935i	0.475547	−	0.540429i
$274$	−3.66849	−	2.11800i	−0.221622	−	0.127953i
$275$	0.374375	−	0.314138i	0.0225757	−	0.0189433i
$276$	0.151236	+	0.0550454i	0.00910333	+	0.00331334i
$277$	−2.71887	−	4.70922i	−0.163361	−	0.282950i	0.772711	−	0.634758i	$-0.218900\pi$
$277$	−2.71887	−	4.70922i	−0.163361	−	0.282950i	−0.936072	+	0.351808i	$0.885567\pi$
$278$	−0.539929	+	0.935184i	−0.0323828	+	0.0560886i
$279$	−0.0318149	+	0.0266958i	−0.00190471	+	0.00159824i
$280$	−3.72592	+	0.567089i	−0.222666	+	0.0338900i
$281$	5.29746	−	14.5547i	0.316020	−	0.868258i	−0.675389	−	0.737462i	$-0.736024\pi$
$281$	5.29746	−	14.5547i	0.316020	−	0.868258i	0.991409	−	0.130796i	$-0.0417535\pi$
$282$	0.346350	−	1.96425i	0.0206249	−	0.116969i
$283$	−6.70777	+	7.99401i	−0.398736	+	0.475195i	−0.927634	−	0.373491i	$-0.878161\pi$
$283$	−6.70777	+	7.99401i	−0.398736	+	0.475195i	0.528898	+	0.848685i	$0.322605\pi$
$284$	3.10597	+	1.79323i	0.184305	+	0.106409i
$285$	−1.24982	−	6.08209i	−0.0740329	−	0.360272i
$286$			0.739532i			0.0437295i
$287$	7.43970	+	9.30154i	0.439152	+	0.549052i
$288$	0.642788	−	0.766044i	0.0378766	−	0.0451396i
$289$	2.18098	+	12.3690i	0.128293	+	0.727586i
$290$	12.6910	+	2.23776i	0.745241	+	0.131406i
$291$	1.36476	+	7.73995i	0.0800038	+	0.453724i
$292$	−10.3191	−	5.95774i	−0.603880	−	0.348650i
$293$	2.59068	−	4.48719i	0.151349	−	0.262144i	−0.780375	−	0.625312i	$-0.784972\pi$
$293$	2.59068	−	4.48719i	0.151349	−	0.262144i	0.931724	+	0.363168i	$0.118305\pi$
$294$	2.08257	+	6.68303i	0.121458	+	0.389762i
$295$	−16.5333	+	2.91526i	−0.962605	+	0.169733i
$296$	−3.81140			−0.221533
$297$	−0.164503			−0.00954541
$298$	10.4634	−	1.84498i	0.606128	−	0.106877i
$299$	0.554252	+	0.465073i	0.0320532	+	0.0268959i
$300$	−2.79168	−	1.01609i	−0.161178	−	0.0586640i
$301$	−9.72913	+	1.48078i	−0.560778	+	0.0853510i
$302$	1.68729	−	9.56911i	0.0970928	−	0.550641i
$303$	−1.83379	+	1.05874i	−0.105348	+	0.0608230i
$304$	1.60548	+	4.05246i	0.0920805	+	0.232425i
$305$	0.0457498	−	0.0792410i	0.00261963	−	0.00453732i
$306$	−1.98011	+	0.720699i	−0.113195	+	0.0411996i
$307$	10.5280	+	8.83402i	0.600863	+	0.504184i	0.891723	−	0.452582i	$-0.149497\pi$
$307$	10.5280	+	8.83402i	0.600863	+	0.504184i	−0.290860	+	0.956766i	$0.593941\pi$
$308$	−0.371707	−	0.226410i	−0.0211800	−	0.0129009i
$309$	7.24543	−	2.63712i	0.412178	−	0.150020i
$310$	0.0555929	+	0.0202341i	0.00315746	+	0.00114922i
$311$		−	2.58948i		−	0.146836i	−0.997301	−	0.0734179i	$-0.976609\pi$
$311$		−	2.58948i		−	0.146836i	0.997301	−	0.0734179i	$-0.0233907\pi$
$312$	3.89327	−	2.24778i	0.220413	−	0.127256i
$313$	2.99399	+	3.56810i	0.169230	+	0.201681i	0.843993	−	0.536354i	$-0.180199\pi$
$313$	2.99399	+	3.56810i	0.169230	+	0.201681i	−0.674763	+	0.738034i	$0.735754\pi$
$314$	2.76367	+	15.6735i	0.155963	+	0.884509i
$315$	0.741450	−	3.69517i	0.0417760	−	0.208199i
$316$	−6.82918	+	3.94283i	−0.384171	+	0.221801i
$317$	2.90736	−	7.98790i	0.163294	−	0.448645i	−0.830878	−	0.556455i	$-0.812161\pi$
$317$	2.90736	−	7.98790i	0.163294	−	0.448645i	0.994172	+	0.107809i	$0.0343836\pi$
$318$	1.38078	−	7.83079i	0.0774303	−	0.439129i
$319$	0.956593	+	1.14002i	0.0535589	+	0.0638290i
$320$	−1.40284	−	0.247359i	−0.0784212	−	0.0138278i
$321$	−2.76102	−	0.486843i	−0.154105	−	0.0271729i
$322$	−0.403443	+	0.136198i	−0.0224830	+	0.00758999i
$323$	1.33984	−	9.08675i	0.0745509	−	0.505601i
$324$	0.500000	+	0.866025i	0.0277778	+	0.0481125i
$325$	−10.2310	−	8.58484i	−0.567515	−	0.476201i
$326$	2.36360	+	6.49395i	0.130908	+	0.359666i
$327$	−12.8155	+	2.25973i	−0.708701	+	0.124963i
$328$	1.53973	+	4.23037i	0.0850173	+	0.233583i
$329$	2.53047	+	4.63081i	0.139509	+	0.255305i
$330$	0.117166	+	0.202937i	0.00644975	+	0.0111713i
$331$		−	24.3553i		−	1.33869i	−0.742951	−	0.669345i	$-0.766575\pi$
$331$		−	24.3553i		−	1.33869i	0.742951	−	0.669345i	$-0.233425\pi$
$332$	3.61178	−	9.92329i	0.198222	−	0.544611i
$333$	1.30358	−	3.58155i	0.0714356	−	0.196268i
$334$			0.401899i			0.0219909i
$335$	−0.387584	−	0.671315i	−0.0211760	−	0.0366779i
$336$	−0.0621458	+	2.64502i	−0.00339033	+	0.144298i
$337$	−6.21807	−	17.0840i	−0.338720	−	0.930626i	−0.985758	−	0.168168i	$-0.946215\pi$
$337$	−6.21807	−	17.0840i	−0.338720	−	0.930626i	0.647038	−	0.762458i	$-0.276007\pi$
$338$	7.10057	−	1.25202i	0.386220	−	0.0681010i
$339$	2.91798	+	8.01707i	0.158483	+	0.435428i
$340$	2.29940	+	1.92942i	0.124702	+	0.104638i
$341$	0.00341601	+	0.00591670i	0.000184987	+	0.000320407i
$342$	−4.35717	+	0.122632i	−0.235609	+	0.00663121i
$343$	−15.3472	−	10.3665i	−0.828668	−	0.559740i
$344$	−3.66311	−	0.645904i	−0.197501	−	0.0348248i
$345$	0.225776	+	0.0398104i	0.0121554	+	0.00214332i
$346$	−9.43146	−	11.2400i	−0.507039	−	0.604265i
$347$	−1.73346	+	9.83094i	−0.0930570	+	0.527752i	0.902268	+	0.431175i	$0.141901\pi$
$347$	−1.73346	+	9.83094i	−0.0930570	+	0.527752i	−0.995325	+	0.0965777i	$0.969210\pi$
$348$	3.09413	−	8.50105i	0.165863	−	0.455704i
$349$	−20.6867	+	11.9435i	−1.10734	+	0.639321i	−0.938138	−	0.346262i	$-0.887451\pi$
$349$	−20.6867	+	11.9435i	−1.10734	+	0.639321i	−0.169198	+	0.985582i	$0.554118\pi$
$350$	7.44721	−	2.51409i	0.398070	−	0.134384i
$351$	0.780647	+	4.42727i	0.0416678	+	0.236310i
$352$	−0.105740	−	0.126016i	−0.00563597	−	0.00671669i
$353$	−25.0008	+	14.4342i	−1.33066	+	0.768256i	−0.985400	−	0.170253i	$-0.945542\pi$
$353$	−25.0008	+	14.4342i	−1.33066	+	0.768256i	−0.345257	+	0.938508i	$0.612208\pi$
$354$			11.7856i			0.626396i
$355$	4.80075	+	1.74733i	0.254797	+	0.0927387i
$356$	−8.06976	+	2.93715i	−0.427696	+	0.155669i
$357$	2.90018	−	4.76136i	0.153494	−	0.251998i
$358$	9.73521	+	8.16881i	0.514522	+	0.431735i
$359$	28.2757	−	10.2915i	1.49233	−	0.543164i	0.538270	−	0.842773i	$-0.319078\pi$
$359$	28.2757	−	10.2915i	1.49233	−	0.543164i	0.954062	+	0.299608i	$0.0968560\pi$
$360$	0.712241	−	1.23364i	0.0375384	−	0.0650185i
$361$	8.55947	−	16.9628i	0.450499	−	0.892777i
$362$	−10.7317	+	6.19597i	−0.564047	+	0.325653i
$363$	1.90543	−	10.8062i	0.100009	−	0.567180i
$364$	−4.32945	+	11.0782i	−0.226925	+	0.580656i
$365$	−15.9498	−	5.80524i	−0.834849	−	0.303860i
$366$	−0.0492057	−	0.0412885i	−0.00257203	−	0.00215819i
$367$	−27.1457	+	4.78652i	−1.41699	+	0.249854i	−0.829108	−	0.559089i	$-0.811151\pi$
$367$	−27.1457	+	4.78652i	−1.41699	+	0.249854i	−0.587887	+	0.808943i	$0.700040\pi$
$368$	−0.160942			−0.00838968
$369$	−4.50187			−0.234358
$370$	−5.34680	+	0.942784i	−0.277967	+	0.0490130i
$371$	10.0881	+	18.4614i	0.523749	+	0.958470i
$372$	0.0207657	−	0.0359672i	0.00107665	−	0.00186481i
$373$	−21.4988	−	12.4123i	−1.11317	−	0.642686i	−0.173518	−	0.984831i	$-0.555514\pi$
$373$	−21.4988	−	12.4123i	−1.11317	−	0.642686i	−0.939647	+	0.342144i	$0.888847\pi$
$374$	0.0601929	+	0.341371i	0.00311250	+	0.0176519i
$375$	−11.1818	−	1.97166i	−0.577428	−	0.101816i
$376$	0.346350	+	1.96425i	0.0178617	+	0.101299i
$377$	26.1420	−	31.1548i	1.34638	−	1.60455i
$378$	−2.46425	−	0.963049i	−0.126747	−	0.0495339i
$379$			8.54837i			0.439100i	0.975601	+	0.219550i	$0.0704589\pi$
$379$			8.54837i			0.439100i	−0.975601	+	0.219550i	$0.929541\pi$
$380$	3.25464	+	5.28783i	0.166960	+	0.271260i
$381$	11.9335	+	6.88978i	0.611369	+	0.352974i
$382$	−10.5168	+	12.5334i	−0.538085	+	0.641264i
$383$	6.16478	−	34.9622i	0.315005	−	1.78648i	−0.257183	−	0.966363i	$-0.582794\pi$
$383$	6.16478	−	34.9622i	0.315005	−	1.78648i	0.572188	−	0.820122i	$-0.306095\pi$
$384$	−0.342020	+	0.939693i	−0.0174536	+	0.0479535i
$385$	−0.577451	−	0.225672i	−0.0294296	−	0.0115013i
$386$	−6.39633	+	5.36716i	−0.325565	+	0.273181i
$387$	1.85981	−	3.22128i	0.0945393	−	0.163747i
$388$	−3.92968	−	6.80640i	−0.199499	−	0.345543i
$389$	−31.7527	−	11.5570i	−1.60993	−	0.585965i	−0.628500	−	0.777809i	$-0.716331\pi$
$389$	−31.7527	−	11.5570i	−1.60993	−	0.585965i	−0.981425	+	0.191844i	$0.938553\pi$
$390$	4.90564	−	4.11632i	0.248407	−	0.208438i
$391$	0.293699	+	0.169567i	0.0148530	+	0.00857538i
$392$	−4.24271	−	5.56771i	−0.214289	−	0.281212i
$393$	−5.47098	−	6.52006i	−0.275974	−	0.328893i
$394$	9.83273	−	11.7182i	0.495366	−	0.590354i
$395$	−8.60496	+	7.22042i	−0.432963	+	0.363299i
$396$	0.154582	−	0.0562632i	0.00776803	−	0.00282733i
$397$	−5.32504	−	14.6304i	−0.267256	−	0.734280i	−0.998631	−	0.0523047i	$-0.983343\pi$
$397$	−5.32504	−	14.6304i	−0.267256	−	0.734280i	0.731375	−	0.681975i	$-0.238879\pi$
$398$	−20.3569			−1.02040
$399$	8.79992	−	7.45396i	0.440547	−	0.373165i
$400$	2.97085			0.148542
$401$	−12.9078	−	35.4638i	−0.644584	−	1.77098i	−0.636823	−	0.771010i	$-0.719752\pi$
$401$	−12.9078	−	35.4638i	−0.644584	−	1.77098i	−0.00776038	−	0.999970i	$-0.502470\pi$
$402$	−0.511357	+	0.186119i	−0.0255042	+	0.00928276i
$403$	0.143026	−	0.120013i	0.00712462	−	0.00597827i
$404$	1.36109	−	1.62208i	0.0677167	−	0.0807016i
$405$	0.915640	+	1.09122i	0.0454985	+	0.0542230i
$406$	7.65573	+	22.6777i	0.379948	+	1.12548i
$407$	−0.542986	−	0.313493i	−0.0269148	−	0.0155393i
$408$	1.61420	−	1.35447i	0.0799146	−	0.0670564i
$409$	−30.7261	−	11.1834i	−1.51931	−	0.552984i	−0.558334	−	0.829616i	$-0.688559\pi$
$409$	−30.7261	−	11.1834i	−1.51931	−	0.552984i	−0.960976	+	0.276633i	$0.910781\pi$
$410$	3.20642	+	5.55368i	0.158354	+	0.274277i
$411$	−2.11800	+	3.66849i	−0.104473	+	0.180953i
$412$	−5.90653	+	4.95616i	−0.290994	+	0.244173i
$413$	−19.4766	−	24.3508i	−0.958381	−	1.19822i
$414$	0.0550454	−	0.151236i	0.00270533	−	0.00743284i
$415$	2.61215	−	14.8142i	0.128225	−	0.727201i
$416$	−2.88969	+	3.44380i	−0.141679	+	0.168846i
$417$	0.935184	+	0.539929i	0.0457961	+	0.0264404i
$418$	−0.104598	+	0.709380i	−0.00511607	+	0.0346969i
$419$			5.53081i			0.270198i	0.990832	+	0.135099i	$0.0431352\pi$
$419$			5.53081i			0.270198i	−0.990832	+	0.135099i	$0.956865\pi$
$420$	0.567089	+	3.72592i	0.0276711	+	0.181806i
$421$	−10.0796	+	12.0125i	−0.491252	+	0.585451i	−0.953535	−	0.301281i	$-0.902586\pi$
$421$	−10.0796	+	12.0125i	−0.491252	+	0.585451i	0.462284	+	0.886732i	$0.347030\pi$
$422$	3.77825	+	21.4275i	0.183922	+	1.04307i
$423$	−1.96425	−	0.346350i	−0.0955052	−	0.0168401i
$424$	1.38078	+	7.83079i	0.0670566	+	0.380297i
$425$	−5.42143	−	3.13006i	−0.262978	−	0.151830i
$426$	1.79323	−	3.10597i	0.0868823	−	0.150485i
$427$	0.169899	+	0.00399184i	0.00822199	+	0.000193179i
$428$	2.76102	−	0.486843i	0.133459	−	0.0235324i
$429$	0.739532			0.0357050
$430$	−5.29853			−0.255518
$431$	12.6967	−	2.23878i	0.611580	−	0.107838i	0.140725	−	0.990049i	$-0.455057\pi$
$431$	12.6967	−	2.23878i	0.611580	−	0.107838i	0.470855	+	0.882211i	$0.343946\pi$
$432$	−0.766044	−	0.642788i	−0.0368563	−	0.0309261i
$433$	14.8086	+	5.38989i	0.711656	+	0.259021i	0.672379	−	0.740207i	$-0.265272\pi$
$433$	14.8086	+	5.38989i	0.711656	+	0.259021i	0.0392765	+	0.999228i	$0.487495\pi$
$434$	0.0165337	+	0.108631i	0.000793642	+	0.00521444i
$435$	2.23776	−	12.6910i	0.107293	−	0.608486i
$436$	11.2698	−	6.50662i	0.539725	−	0.311611i
$437$	0.465875	+	0.524504i	0.0222858	+	0.0250904i
$438$	−5.95774	+	10.3191i	−0.284672	+	0.493066i
$439$	−30.6682	+	11.1623i	−1.46371	+	0.532747i	−0.946385	−	0.323041i	$-0.895295\pi$
$439$	−30.6682	+	11.1623i	−1.46371	+	0.532747i	−0.517326	+	0.855788i	$0.673073\pi$
$440$	−0.179508	−	0.150625i	−0.00855771	−	0.00718077i
$441$	6.68303	−	2.08257i	0.318240	−	0.0991701i
$442$	8.90169	−	3.23995i	0.423410	−	0.154109i
$443$	12.2852	+	4.47144i	0.583686	+	0.212444i	0.616950	−	0.787002i	$-0.288368\pi$
$443$	12.2852	+	4.47144i	0.583686	+	0.212444i	−0.0332642	+	0.999447i	$0.510590\pi$
$444$			3.81140i			0.180881i
$445$	−10.5941	+	6.11649i	−0.502207	+	0.289949i
$446$	−15.4522	−	18.4153i	−0.731685	−	0.871988i
$447$	−1.84498	−	10.4634i	−0.0872644	−	0.494901i
$448$	−0.846253	−	2.50676i	−0.0399817	−	0.118433i
$449$	−17.2677	+	9.96953i	−0.814915	+	0.470491i	−0.848660	−	0.528939i	$-0.822590\pi$
$449$	−17.2677	+	9.96953i	−0.814915	+	0.470491i	0.0337451	+	0.999430i	$0.489257\pi$
$450$	−1.01609	+	2.79168i	−0.0478989	+	0.131601i
$451$	−0.128598	+	0.729318i	−0.00605547	+	0.0343423i
$452$	−5.48400	−	6.53558i	−0.257946	−	0.307408i
$453$	−9.56911	−	1.68729i	−0.449596	−	0.0792759i
$454$	−24.4833	−	4.31707i	−1.14906	−	0.202610i
$455$	−3.33324	+	16.6119i	−0.156265	+	0.778778i
$456$	4.05246	−	1.60548i	0.189774	−	0.0751834i
$457$	−4.63342	−	8.02532i	−0.216742	−	0.375409i	0.737068	−	0.675819i	$-0.236210\pi$
$457$	−4.63342	−	8.02532i	−0.216742	−	0.375409i	−0.953810	+	0.300410i	$0.902876\pi$
$458$	−4.10930	−	3.44811i	−0.192015	−	0.161120i
$459$	0.720699	+	1.98011i	0.0336394	+	0.0924234i
$460$	−0.225776	+	0.0398104i	−0.0105269	+	0.00185617i
$461$	4.75533	+	13.0652i	0.221478	+	0.608505i	0.999813	−	0.0193441i	$-0.00615779\pi$
$461$	4.75533	+	13.0652i	0.221478	+	0.608505i	−0.778335	+	0.627849i	$0.783936\pi$
$462$	−0.226410	+	0.371707i	−0.0105335	+	0.0172934i
$463$	20.1722	+	34.9393i	0.937483	+	1.62377i	0.770145	+	0.637869i	$0.220184\pi$
$463$	20.1722	+	34.9393i	0.937483	+	1.62377i	0.167338	+	0.985900i	$0.446483\pi$
$464$			9.04663i			0.419979i
$465$	0.0202341	−	0.0555929i	0.000938336	−	0.00257806i
$466$	4.88110	−	13.4107i	0.226113	−	0.621239i
$467$			0.861184i			0.0398508i	0.999801	+	0.0199254i	$0.00634287\pi$
$467$			0.861184i			0.0398508i	−0.999801	+	0.0199254i	$0.993657\pi$
$468$	−2.24778	−	3.89327i	−0.103904	−	0.179967i
$469$	0.748965	−	1.22961i	0.0345840	−	0.0567781i
$470$	0.971750	+	2.66986i	0.0448235	+	0.123152i
$471$	15.6735	−	2.76367i	0.722198	−	0.127343i
$472$	−4.03090	−	11.0748i	−0.185537	−	0.509759i
$473$	−0.468732	−	0.393313i	−0.0215523	−	0.0180846i
$474$	3.94283	+	6.82918i	0.181100	+	0.313674i
$475$	−8.59965	−	9.68188i	−0.394579	−	0.444235i
$476$	−1.09680	+	5.46613i	−0.0502717	+	0.250540i
$477$	−7.83079	−	1.38078i	−0.358547	−	0.0632216i
$478$	−27.2922	−	4.81234i	−1.24831	−	0.220112i
$479$	20.0324	+	23.8736i	0.915302	+	1.09081i	0.995568	+	0.0940407i	$0.0299784\pi$
$479$	20.0324	+	23.8736i	0.915302	+	1.09081i	−0.0802667	+	0.996773i	$0.525577\pi$
$480$	−0.247359	+	1.40284i	−0.0112903	+	0.0640307i
$481$	−5.86032	+	16.1011i	−0.267207	+	0.734146i
$482$	7.70932	−	4.45098i	0.351150	−	0.202737i
$483$	0.136198	+	0.403443i	0.00619720	+	0.0183573i
$484$	1.90543	+	10.8062i	0.0866105	+	0.491193i
$485$	−7.19634	−	8.57626i	−0.326769	−	0.389428i
$486$	0.866025	−	0.500000i	0.0392837	−	0.0226805i
$487$			42.9663i			1.94699i	0.228711	+	0.973494i	$0.426549\pi$
$487$			42.9663i			1.94699i	−0.228711	+	0.973494i	$0.573451\pi$
$488$	0.0603598	+	0.0219692i	0.00273236	+	0.000994497i
$489$	6.49395	−	2.36360i	0.293666	−	0.106886i
$490$	−7.32907	−	6.76115i	−0.331094	−	0.305438i
$491$	5.78965	+	4.85809i	0.261283	+	0.219243i	0.764013	−	0.645201i	$-0.223226\pi$
$491$	5.78965	+	4.85809i	0.261283	+	0.219243i	−0.502730	+	0.864444i	$0.667671\pi$
$492$	4.23037	−	1.53973i	0.190720	−	0.0694164i
$493$	9.53146	−	16.5090i	0.429275	−	0.743526i
$494$	19.5880	−	0.551302i	0.881304	−	0.0248043i
$495$	0.202937	−	0.117166i	0.00912133	−	0.00526620i
$496$	−0.00721184	+	0.0409004i	−0.000323821	+	0.00183648i
$497$	1.42778	+	9.38085i	0.0640445	+	0.420789i
$498$	−9.92329	−	3.61178i	−0.444673	−	0.161848i
$499$	2.63321	+	2.20952i	0.117879	+	0.0989119i	0.699822	−	0.714318i	$-0.253263\pi$
$499$	2.63321	+	2.20952i	0.117879	+	0.0989119i	−0.581943	+	0.813230i	$0.697707\pi$
$500$	11.1818	−	1.97166i	0.500067	−	0.0881753i
$501$	0.401899			0.0179555
$502$	18.7968			0.838941
$503$	3.08012	−	0.543108i	0.137336	−	0.0242160i	−0.104558	−	0.994519i	$-0.533343\pi$
$503$	3.08012	−	0.543108i	0.137336	−	0.0242160i	0.241893	+	0.970303i	$0.422232\pi$
$504$	2.64502	+	0.0621458i	0.117819	+	0.00276819i
$505$	1.50816	−	2.61220i	0.0671120	−	0.116241i
$506$	−0.0229283	−	0.0132377i	−0.00101929	−	0.000588487i
$507$	−1.25202	−	7.10057i	−0.0556043	−	0.315347i
$508$	−13.5702	−	2.39280i	−0.602081	−	0.106163i
$509$	−2.23215	−	12.6591i	−0.0989382	−	0.561107i	−0.993469	−	0.114101i	$-0.963601\pi$
$509$	−2.23215	−	12.6591i	−0.0989382	−	0.561107i	0.894531	−	0.447006i	$-0.147510\pi$
$510$	1.92942	−	2.29940i	0.0854362	−	0.101819i
$511$	−4.74357	−	31.1665i	−0.209843	−	1.37872i
$512$		−	1.00000i		−	0.0441942i
$513$	0.122632	+	4.35717i	0.00541436	+	0.192374i
$514$	−19.5972	−	11.3145i	−0.864397	−	0.499060i
$515$	−7.05997	+	8.41374i	−0.311099	+	0.370754i
$516$	−0.645904	+	3.66311i	−0.0284344	+	0.161259i
$517$	−0.112220	+	0.308322i	−0.00493543	+	0.0135600i
$518$	−6.29865	−	7.87493i	−0.276747	−	0.346005i
$519$	−11.2400	+	9.43146i	−0.493380	+	0.413995i
$520$	−3.20193	+	5.54590i	−0.140414	+	0.243204i
$521$	−10.9334	−	18.9372i	−0.479001	−	0.829654i	0.520709	−	0.853734i	$-0.325668\pi$
$521$	−10.9334	−	18.9372i	−0.479001	−	0.829654i	−0.999710	+	0.0240804i	$0.992334\pi$
$522$	−8.50105	−	3.09413i	−0.372081	−	0.135426i
$523$	−24.7249	+	20.7466i	−1.08114	+	0.907187i	−0.996015	−	0.0891826i	$-0.971575\pi$
$523$	−24.7249	+	20.7466i	−1.08114	+	0.907187i	−0.0851286	+	0.996370i	$0.527130\pi$
$524$	7.37103	+	4.25566i	0.322005	+	0.185910i
$525$	−2.51409	−	7.44721i	−0.109724	−	0.325023i
$526$	1.00639	+	1.19936i	0.0438805	+	0.0522948i
$527$	0.0562530	−	0.0670398i	0.00245042	−	0.00292030i
$528$	−0.126016	+	0.105740i	−0.00548416	+	0.00460175i
$529$	21.5886	−	7.85760i	0.938634	−	0.341635i
$530$	3.87403	+	10.6438i	0.168277	+	0.462338i
$531$	11.7856			0.511450
$532$	−5.71981	+	10.0142i	−0.247985	+	0.434170i
$533$	20.2384			0.876624
$534$	2.93715	+	8.06976i	0.127103	+	0.349213i
$535$	3.75286	−	1.36593i	0.162250	−	0.0590542i
$536$	0.416862	−	0.349789i	0.0180057	−	0.0151086i
$537$	8.16881	−	9.73521i	0.352510	−	0.420105i
$538$	5.90281	+	7.03470i	0.254488	+	0.303287i
$539$	−0.146479	−	1.14216i	−0.00630930	−	0.0491965i
$540$	−1.23364	−	0.712241i	−0.0530873	−	0.0306500i
$541$	−29.1088	+	24.4252i	−1.25149	+	1.05012i	−0.254949	+	0.966954i	$0.582059\pi$
$541$	−29.1088	+	24.4252i	−1.25149	+	1.05012i	−0.996536	+	0.0831663i	$0.973497\pi$
$542$	28.9090	+	10.5220i	1.24175	+	0.451960i
$543$	6.19597	+	10.7317i	0.265894	+	0.460543i
$544$	−1.05359	+	1.82488i	−0.0451724	+	0.0782409i
$545$	14.2003	−	11.9154i	0.608273	−	0.510401i
$546$	11.0782	+	4.32945i	0.474103	+	0.185283i
$547$	−1.37066	+	3.76586i	−0.0586052	+	0.161016i	−0.965540	−	0.260254i	$-0.916194\pi$
$547$	−1.37066	+	3.76586i	−0.0586052	+	0.161016i	0.906935	+	0.421271i	$0.138416\pi$
$548$	0.735575	−	4.17165i	0.0314222	−	0.178204i
$549$	−0.0412885	+	0.0492057i	−0.00176215	+	0.00210005i
$550$	0.423237	+	0.244356i	0.0180469	+	0.0104194i
$551$	29.4826	−	26.1871i	1.25600	−	1.11561i
$552$			0.160942i			0.00685014i
$553$	−19.4322	−	7.59427i	−0.826343	−	0.322941i
$554$	3.49531	−	4.16555i	0.148502	−	0.176977i
$555$	0.942784	+	5.34680i	0.0400190	+	0.226959i
$556$	−1.06345	−	0.187515i	−0.0451004	−	0.00795242i
$557$	3.55583	+	20.1661i	0.150665	+	0.854465i	0.962642	+	0.270776i	$0.0872803\pi$
$557$	3.55583	+	20.1661i	0.150665	+	0.854465i	−0.811977	+	0.583689i	$0.801609\pi$
$558$	−0.0359672	−	0.0207657i	−0.00152261	−	0.000879081i
$559$	−8.36089	+	14.4815i	−0.353628	+	0.612501i
$560$	−1.80723	−	3.30726i	−0.0763693	−	0.139757i
$561$	0.341371	−	0.0601929i	0.0144127	−	0.00254135i
$562$	15.4887			0.653353
$563$	21.3473			0.899683			0.449842	−	0.893108i	$-0.351480\pi$
$563$	21.3473			0.899683			0.449842	+	0.893108i	$0.351480\pi$
$564$	1.96425	−	0.346350i	0.0827099	−	0.0145840i
$565$	−9.30982	−	7.81186i	−0.391667	−	0.328648i
$566$	−9.80611	−	3.56913i	−0.412181	−	0.150022i
$567$	−0.963049	+	2.46425i	−0.0404442	+	0.103489i
$568$	−0.622783	+	3.53198i	−0.0261314	+	0.148198i
$569$	12.3998	−	7.15905i	0.519829	−	0.300123i	−0.217036	−	0.976164i	$-0.569639\pi$
$569$	12.3998	−	7.15905i	0.519829	−	0.300123i	0.736865	+	0.676040i	$0.236306\pi$
$570$	5.28783	−	3.25464i	0.221483	−	0.136322i
$571$	5.56447	−	9.63794i	0.232866	−	0.403335i	−0.725785	−	0.687922i	$-0.758523\pi$
$571$	5.56447	−	9.63794i	0.232866	−	0.403335i	0.958650	+	0.284587i	$0.0918564\pi$
$572$	−0.694933	+	0.252935i	−0.0290566	+	0.0105757i
$573$	12.5334	+	10.5168i	0.523590	+	0.439344i
$574$	−6.19606	+	10.1723i	−0.258618	+	0.424585i
$575$	0.449299	−	0.163531i	0.0187371	−	0.00681973i
$576$	0.939693	+	0.342020i	0.0391539	+	0.0142508i
$577$			10.8015i			0.449671i	0.974397	+	0.224835i	$0.0721844\pi$
$577$			10.8015i			0.449671i	−0.974397	+	0.224835i	$0.927816\pi$
$578$	−10.8771	+	6.27989i	−0.452427	+	0.261209i
$579$	5.36716	+	6.39633i	0.223052	+	0.265823i
$580$	2.23776	+	12.6910i	0.0929181	+	0.526965i
$581$	26.4718	−	8.93655i	1.09823	−	0.370751i
$582$	−6.80640	+	3.92968i	−0.282134	+	0.162890i
$583$	−0.447382	+	1.22917i	−0.0185287	+	0.0509071i
$584$	2.06910	−	11.7345i	0.0856200	−	0.485575i
$585$	−4.11632	−	4.90564i	−0.170189	−	0.202823i
$586$	5.10264	+	0.899733i	0.210788	+	0.0371676i
$587$	−4.91798	−	0.867172i	−0.202987	−	0.0357920i	0.0712302	−	0.997460i	$-0.477308\pi$
$587$	−4.91798	−	0.867172i	−0.202987	−	0.0357920i	−0.274217	+	0.961668i	$0.588419\pi$
$588$	−5.56771	+	4.24271i	−0.229609	+	0.174966i
$589$	0.154169	−	0.0948904i	0.00635241	−	0.00390989i
$590$	−8.39417	−	14.5391i	−0.345583	−	0.598566i
$591$	−11.7182	−	9.83273i	−0.482022	−	0.404464i
$592$	−1.30358	−	3.58155i	−0.0535767	−	0.147201i
$593$	−1.19045	+	0.209908i	−0.0488859	+	0.00861990i	−0.198038	−	0.980194i	$-0.563457\pi$
$593$	−1.19045	+	0.209908i	−0.0488859	+	0.00861990i	0.149152	+	0.988814i	$0.452346\pi$
$594$	−0.0562632	−	0.154582i	−0.00230851	−	0.00634257i
$595$	−0.186540	+	7.93942i	−0.00764739	+	0.325485i
$596$	5.31240	+	9.20135i	0.217604	+	0.376902i
$597$			20.3569i			0.833154i
$598$	−0.247460	+	0.679891i	−0.0101194	+	0.0278028i
$599$	3.04187	−	8.35748i	0.124288	−	0.341477i	−0.861907	−	0.507066i	$-0.830730\pi$
$599$	3.04187	−	8.35748i	0.124288	−	0.341477i	0.986195	+	0.165588i	$0.0529523\pi$
$600$		−	2.97085i		−	0.121284i
$601$	10.0042	+	17.3278i	0.408080	+	0.706816i	0.994675	−	0.103065i	$-0.0328650\pi$
$601$	10.0042	+	17.3278i	0.408080	+	0.706816i	−0.586594	+	0.809881i	$0.699532\pi$
$602$	−4.71904	−	8.63594i	−0.192334	−	0.351974i
$603$	0.186119	+	0.511357i	0.00757935	+	0.0208241i
$604$	9.56911	−	1.68729i	0.389362	−	0.0686550i
$605$	5.34604	+	14.6881i	0.217347	+	0.597157i
$606$	−1.62208	−	1.36109i	−0.0658926	−	0.0552904i
$607$	3.04743	+	5.27830i	0.123691	+	0.214239i	0.921221	−	0.389041i	$-0.127193\pi$
$607$	3.04743	+	5.27830i	0.123691	+	0.214239i	−0.797529	+	0.603280i	$0.793860\pi$
$608$	−3.25896	+	2.89468i	−0.132168	+	0.117395i
$609$	22.6777	−	7.65573i	0.918949	−	0.310226i
$610$	0.0901095	+	0.0158887i	0.00364843	+	0.000643316i
$611$	8.83042	+	1.55704i	0.357241	+	0.0629911i
$612$	−1.35447	−	1.61420i	−0.0547513	−	0.0652500i
$613$	2.41571	−	13.7002i	0.0975697	−	0.553346i	−0.896360	−	0.443327i	$-0.853798\pi$
$613$	2.41571	−	13.7002i	0.0975697	−	0.553346i	0.993930	−	0.110018i	$-0.0350909\pi$
$614$	−4.70048	+	12.9145i	−0.189696	+	0.521186i
$615$	5.55368	−	3.20642i	0.223946	−	0.129295i
$616$	0.0856244	−	0.426727i	0.00344991	−	0.0171933i
$617$	2.94493	+	16.7015i	0.118558	+	0.672377i	0.984927	+	0.172972i	$0.0553370\pi$
$617$	2.94493	+	16.7015i	0.118558	+	0.672377i	−0.866369	+	0.499405i	$0.833552\pi$
$618$	4.95616	+	5.90653i	0.199366	+	0.237595i
$619$	−11.3635	+	6.56072i	−0.456738	+	0.263698i	−0.710672	−	0.703524i	$-0.751609\pi$
$619$	−11.3635	+	6.56072i	−0.456738	+	0.263698i	0.253934	+	0.967222i	$0.418275\pi$
$620$			0.0591607i			0.00237595i
$621$	−0.151236	−	0.0550454i	−0.00606889	−	0.00220889i
$622$	2.43331	−	0.885653i	0.0975670	−	0.0355115i
$623$	−19.4045	−	11.8195i	−0.777426	−	0.473537i
$624$	3.44380	+	2.88969i	0.137862	+	0.115680i
$625$	1.24022	−	0.451404i	0.0496089	−	0.0180562i
$626$	−2.32891	+	4.03379i	−0.0930819	+	0.161223i
$627$	0.709380	+	0.104598i	0.0283299	+	0.00417725i
$628$	−13.7831	+	7.95766i	−0.550005	+	0.317545i
$629$	−1.39463	+	7.90932i	−0.0556074	+	0.315365i
$630$	3.72592	−	0.567089i	0.148444	−	0.0225934i
$631$	39.7174	+	14.4559i	1.58112	+	0.575482i	0.975448	−	0.220229i	$-0.0706805\pi$
$631$	39.7174	+	14.4559i	1.58112	+	0.575482i	0.605676	+	0.795711i	$0.292903\pi$
$632$	−6.04076	−	5.06880i	−0.240289	−	0.201626i
$633$	21.4275	−	3.77825i	0.851667	−	0.150172i
$634$	8.50055			0.337600
$635$	−19.6288			−0.778943
$636$	7.83079	−	1.38078i	0.310511	−	0.0547515i
$637$	−30.0440	+	9.36234i	−1.19039	+	0.370949i
$638$	−0.744097	+	1.28881i	−0.0294591	+	0.0510246i
$639$	−3.10597	−	1.79323i	−0.122870	−	0.0709391i
$640$	−0.247359	−	1.40284i	−0.00977772	−	0.0554522i
$641$	−28.2858	−	4.98754i	−1.11722	−	0.196996i	−0.415600	−	0.909547i	$-0.636428\pi$
$641$	−28.2858	−	4.98754i	−1.11722	−	0.196996i	−0.701620	+	0.712551i	$0.747540\pi$
$642$	−0.486843	−	2.76102i	−0.0192142	−	0.108969i
$643$	16.7704	−	19.9862i	0.661360	−	0.788178i	−0.326220	−	0.945294i	$-0.605775\pi$
$643$	16.7704	−	19.9862i	0.661360	−	0.788178i	0.987580	+	0.157116i	$0.0502196\pi$
$644$	−0.265969	−	0.332530i	−0.0104807	−	0.0131035i
$645$			5.29853i			0.208629i
$646$	8.99701	−	1.84881i	0.353983	−	0.0727405i
$647$	12.7084	+	7.33718i	0.499618	+	0.288454i	0.728556	−	0.684987i	$-0.240192\pi$
$647$	12.7084	+	7.33718i	0.499618	+	0.288454i	−0.228938	+	0.973441i	$0.573525\pi$
$648$	−0.642788	+	0.766044i	−0.0252511	+	0.0300931i
$649$	0.336662	−	1.90930i	0.0132151	−	0.0749467i
$650$	4.56790	−	12.5502i	0.179168	−	0.492259i
$651$	0.108631	−	0.0165337i	0.00425757	−	0.000648006i
$652$	−5.29391	+	4.44212i	−0.207326	+	0.173967i
$653$	−12.2552	+	21.2266i	−0.479582	+	0.830660i	−0.999726	−	0.0234187i	$-0.992545\pi$
$653$	−12.2552	+	21.2266i	−0.479582	+	0.830660i	0.520144	+	0.854079i	$0.325878\pi$
$654$	−6.50662	−	11.2698i	−0.254429	−	0.440684i
$655$	11.3931	+	4.14674i	0.445164	+	0.162026i
$656$	−3.44863	+	2.89374i	−0.134646	+	0.112982i
$657$	10.3191	+	5.95774i	0.402587	+	0.232433i
$658$	−3.48607	+	3.96170i	−0.135901	+	0.154443i
$659$	−21.8386	−	26.0262i	−0.850709	−	1.01384i	−0.999688	−	0.0249954i	$-0.992043\pi$
$659$	−21.8386	−	26.0262i	−0.850709	−	1.01384i	0.148978	−	0.988840i	$-0.452402\pi$
$660$	−0.150625	+	0.179508i	−0.00586308	+	0.00698734i
$661$	−22.6616	+	19.0153i	−0.881434	+	0.739611i	−0.966473	−	0.256766i	$-0.917343\pi$
$661$	−22.6616	+	19.0153i	−0.881434	+	0.739611i	0.0850392	+	0.996378i	$0.472898\pi$
$662$	22.8865	−	8.33002i	0.889510	−	0.323755i
$663$	−3.23995	−	8.90169i	−0.125829	−	0.345713i
$664$	10.5601			0.409813
$665$	−5.54690	+	15.4632i	−0.215099	+	0.599635i
$666$	3.81140			0.147689
$667$	0.497975	+	1.36818i	0.0192817	+	0.0529760i
$668$	−0.377661	+	0.137458i	−0.0146122	+	0.00531839i
$669$	−18.4153	+	15.4522i	−0.711975	+	0.597418i
$670$	0.498268	−	0.593813i	0.0192498	−	0.0229410i
$671$	0.00679207	+	0.00809447i	0.000262205	+	0.000312484i
$672$	−2.50676	+	0.846253i	−0.0967004	+	0.0326449i
$673$	36.2840	+	20.9486i	1.39864	+	0.807508i	0.994251	−	0.107077i	$-0.0341492\pi$
$673$	36.2840	+	20.9486i	1.39864	+	0.807508i	0.404394	+	0.914585i	$0.367483\pi$
$674$	13.9270	−	11.6862i	0.536449	−	0.450134i
$675$	2.79168	+	1.01609i	0.107452	+	0.0391093i
$676$	3.60505	+	6.24414i	0.138656	+	0.240159i
$677$	−8.25701	+	14.3016i	−0.317343	+	0.549654i	−0.979933	−	0.199329i	$-0.936124\pi$
$677$	−8.25701	+	14.3016i	−0.317343	+	0.549654i	0.662590	+	0.748982i	$0.269457\pi$
$678$	−6.53558	+	5.48400i	−0.250997	+	0.210612i
$679$	7.56894	−	19.3674i	0.290469	−	0.743254i
$680$	−1.02662	+	2.82063i	−0.0393692	+	0.108166i
$681$	−4.31707	+	24.4833i	−0.165430	+	0.938203i
$682$	−0.00439154	+	0.00523363i	−0.000168161	+	0.000200406i
$683$	−35.7928	−	20.6650i	−1.36957	−	0.790723i	−0.378699	−	0.925520i	$-0.623628\pi$
$683$	−35.7928	−	20.6650i	−1.36957	−	0.790723i	−0.990873	+	0.134797i	$0.956962\pi$
$684$	−1.60548	−	4.05246i	−0.0613870	−	0.154950i
$685$		−	6.03412i		−	0.230552i
$686$	4.49232	−	17.9672i	0.171517	−	0.685990i
$687$	−3.44811	+	4.10930i	−0.131554	+	0.156780i
$688$	−0.645904	−	3.66311i	−0.0246249	−	0.139655i
$689$	35.2038	+	6.20738i	1.34116	+	0.236483i
$690$	0.0398104	+	0.225776i	0.00151556	+	0.00859515i
$691$	−7.40223	−	4.27368i	−0.281594	−	0.162579i	0.352551	−	0.935793i	$-0.385314\pi$
$691$	−7.40223	−	4.27368i	−0.281594	−	0.162579i	−0.634145	+	0.773214i	$0.718648\pi$
$692$	7.33638	−	12.7070i	0.278887	−	0.483047i
$693$	0.371707	+	0.226410i	0.0141200	+	0.00860060i
$694$	−9.83094	+	1.73346i	−0.373177	+	0.0658012i
$695$	−1.53824			−0.0583487
$696$	9.04663			0.342912
$697$	9.34215	−	1.64727i	0.353859	−	0.0623949i
$698$	−18.2985	−	15.3543i	−0.692608	−	0.581167i
$699$	−13.4107	−	4.88110i	−0.507240	−	0.184620i
$700$	4.90957	+	6.13822i	0.185564	+	0.232003i
$701$	0.892547	−	5.06189i	0.0337110	−	0.191185i	−0.963302	−	0.268421i	$-0.913498\pi$
$701$	0.892547	−	5.06189i	0.0337110	−	0.191185i	0.997013	+	0.0772358i	$0.0246094\pi$
$702$	−3.89327	+	2.24778i	−0.146942	+	0.0848371i
$703$	−7.89869	+	14.6157i	−0.297905	+	0.551243i
$704$	0.0822513	−	0.142463i	0.00309996	−	0.00536929i
$705$	2.66986	−	0.971750i	0.100553	−	0.0365982i
$706$	−22.1145	−	18.5563i	−0.832290	−	0.698374i
$707$	5.60077	+	0.131592i	0.210639	+	0.00494904i
$708$	−11.0748	+	4.03090i	−0.416217	+	0.151491i
$709$	15.3139	+	5.57379i	0.575125	+	0.209328i	0.613174	−	0.789948i	$-0.289892\pi$
$709$	15.3139	+	5.57379i	0.575125	+	0.209328i	−0.0380497	+	0.999276i	$0.512115\pi$
$710$			5.10885i			0.191732i
$711$	6.82918	−	3.94283i	0.256114	−	0.147868i
$712$	−5.52004	−	6.57853i	−0.206872	−	0.246541i
$713$	0.00116069	+	0.00658259i	4.34681e−5	+	0.000246520i
$714$	5.46613	+	1.09680i	0.204565	+	0.0410467i
$715$	−0.912316	+	0.526726i	−0.0341187	+	0.0196984i
$716$	−4.34653	+	11.9420i	−0.162438	+	0.446293i
$717$	−4.81234	+	27.2922i	−0.179720	+	1.01924i
$718$	19.3417	+	23.0505i	0.721825	+	0.860238i
$719$	35.7323	+	6.30057i	1.33259	+	0.234972i	0.794165	−	0.607702i	$-0.207908\pi$
$719$	35.7323	+	6.30057i	1.33259	+	0.234972i	0.538425	+	0.842673i	$0.319019\pi$
$720$	1.40284	+	0.247359i	0.0522808	+	0.00921852i
$721$	−20.0012	−	4.01331i	−0.744883	−	0.149464i
$722$	18.8673	+	2.24167i	0.702168	+	0.0834262i
$723$	−4.45098	−	7.70932i	−0.165534	−	0.286713i
$724$	−9.49277	−	7.96538i	−0.352796	−	0.296031i
$725$	−9.19219	−	25.2553i	−0.341389	−	0.937959i
$726$	10.8062	−	1.90543i	0.401057	−	0.0707172i
$727$	2.17000	+	5.96203i	0.0804809	+	0.221120i	0.973406	−	0.229085i	$-0.0735733\pi$
$727$	2.17000	+	5.96203i	0.0804809	+	0.221120i	−0.892926	+	0.450204i	$0.851351\pi$
$728$	−11.8909	−	0.279381i	−0.440705	−	0.0103545i
$729$	−0.500000	−	0.866025i	−0.0185185	−	0.0320750i
$730$		−	16.9734i		−	0.628213i
$731$	−2.68072	+	7.36523i	−0.0991502	+	0.272413i
$732$	0.0219692	−	0.0603598i	0.000812004	−	0.00223096i
$733$			23.5722i			0.870659i	0.900271	+	0.435330i	$0.143368\pi$
$733$			23.5722i			0.870659i	−0.900271	+	0.435330i	$0.856632\pi$
$734$	−13.7822	−	23.8715i	−0.508712	−	0.881114i
$735$	−6.76115	+	7.32907i	−0.249389	+	0.270337i
$736$	−0.0550454	−	0.151236i	−0.00202900	−	0.00557463i
$737$	0.0881583	−	0.0155447i	0.00324735	−	0.000572596i
$738$	−1.53973	−	4.23037i	−0.0566782	−	0.155722i
$739$	−18.4789	−	15.5056i	−0.679757	−	0.570384i	0.236178	−	0.971710i	$-0.424105\pi$
$739$	−18.4789	−	15.5056i	−0.679757	−	0.570384i	−0.915935	+	0.401326i	$0.868550\pi$
$740$	−2.71464	−	4.70189i	−0.0997921	−	0.172845i
$741$	−0.551302	−	19.5880i	−0.0202526	−	0.719582i
$742$	−13.8977	+	15.7939i	−0.510202	+	0.579813i
$743$	32.5266	+	5.73532i	1.19329	+	0.210408i	0.734794	−	0.678291i	$-0.237279\pi$
$743$	32.5266	+	5.73532i	1.19329	+	0.210408i	0.458491	+	0.888699i	$0.348390\pi$
$744$	0.0409004	+	0.00721184i	0.00149948	+	0.000264399i
$745$	9.72849	+	11.5940i	0.356424	+	0.424770i
$746$	4.31076	−	24.4475i	0.157828	−	0.895088i
$747$	−3.61178	+	9.92329i	−0.132148	+	0.363074i
$748$	−0.300197	+	0.173319i	−0.0109763	+	0.00633716i
$749$	5.56871	+	4.90014i	0.203476	+	0.179047i
$750$	−1.97166	−	11.1818i	−0.0719948	−	0.408303i
$751$	−12.2146	−	14.5568i	−0.445717	−	0.531185i	0.495671	−	0.868510i	$-0.334922\pi$
$751$	−12.2146	−	14.5568i	−0.445717	−	0.531185i	−0.941388	+	0.337325i	$0.890478\pi$
$752$	−1.72733	+	0.997276i	−0.0629894	+	0.0363669i
$753$		−	18.7968i		−	0.684992i
$754$	38.2170	+	13.9099i	1.39178	+	0.506567i
$755$	13.0066	−	4.73401i	0.473358	−	0.172288i
$756$	0.0621458	−	2.64502i	0.00226022	−	0.0961985i
$757$	27.8952	+	23.4068i	1.01387	+	0.850736i	0.988845	−	0.148951i	$-0.0475895\pi$
$757$	27.8952	+	23.4068i	1.01387	+	0.850736i	0.0250234	+	0.999687i	$0.492034\pi$
$758$	−8.03284	+	2.92371i	−0.291766	+	0.106194i
$759$	−0.0132377	+	0.0229283i	−0.000480497	+	0.000832246i
$760$	−3.85578	+	4.86691i	−0.139864	+	0.176541i
$761$	40.8281	−	23.5721i	1.48002	−	0.854488i	0.480272	−	0.877119i	$-0.340538\pi$
$761$	40.8281	−	23.5721i	1.48002	−	0.854488i	0.999744	+	0.0226317i	$0.00720450\pi$
$762$	−2.39280	+	13.5702i	−0.0866819	+	0.491597i
$763$	32.0679	+	12.5324i	1.16094	+	0.453703i
$764$	−15.3745	−	5.59586i	−0.556230	−	0.202451i
$765$	−2.29940	−	1.92942i	−0.0831348	−	0.0697584i
$766$	34.9622	−	6.16478i	1.26324	−	0.222743i
$767$	−52.9828			−1.91310
$768$	−1.00000			−0.0360844
$769$	−0.0887997	+	0.0156578i	−0.00320220	+	0.000564634i	−0.175249	−	0.984524i	$-0.556073\pi$
$769$	−0.0887997	+	0.0156578i	−0.00320220	+	0.000564634i	0.172047	+	0.985089i	$0.444962\pi$
$770$	0.0145627	−	0.619811i	0.000524803	−	0.0223364i
$771$	−11.3145	+	19.5972i	−0.407481	+	0.705777i
$772$	−7.23116	−	4.17491i	−0.260255	−	0.150258i
$773$	−1.57554	−	8.93532i	−0.0566682	−	0.321381i	0.943275	−	0.332011i	$-0.107727\pi$
$773$	−1.57554	−	8.93532i	−0.0566682	−	0.321381i	−0.999943	+	0.0106304i	$0.996616\pi$
$774$	3.66311	+	0.645904i	0.131668	+	0.0232166i
$775$	−0.0214253	−	0.121509i	−0.000769619	−	0.00436473i
$776$	5.05190	−	6.02061i	0.181352	−	0.216127i
$777$	−7.87493	+	6.29865i	−0.282512	+	0.225963i
$778$		−	33.7905i		−	1.21145i
$779$	19.4133	+	2.86249i	0.695553	+	0.102559i
$780$	5.54590	+	3.20193i	0.198575	+	0.114647i
$781$	−0.379233	+	0.451953i	−0.0135700	+	0.0161721i
$782$	−0.0588900	+	0.333982i	−0.00210590	+	0.0119432i
$783$	−3.09413	+	8.50105i	−0.110575	+	0.303803i
$784$	3.78085	−	5.89111i	0.135030	−	0.210397i
$785$	−17.3671	+	14.5727i	−0.619857	+	0.520122i
$786$	4.25566	−	7.37103i	0.151795	−	0.262916i
$787$	−11.2387	−	19.4660i	−0.400617	−	0.693889i	0.593184	−	0.805067i	$-0.297871\pi$
$787$	−11.2387	−	19.4660i	−0.400617	−	0.693889i	−0.993800	+	0.111179i	$0.964537\pi$
$788$	14.3745	+	5.23188i	0.512070	+	0.186378i
$789$	1.19936	−	1.00639i	0.0426985	−	0.0358283i
$790$	−9.72805	−	5.61649i	−0.346108	−	0.199826i
$791$	4.44073	−	22.1313i	0.157894	−	0.786900i
$792$	0.105740	+	0.126016i	0.00375732	+	0.00447780i
$793$	0.185615	−	0.221208i	0.00659139	−	0.00785531i
$794$	11.9268	−	10.0078i	0.423268	−	0.355164i
$795$	10.6438	−	3.87403i	0.377497	−	0.137398i
$796$	−6.96248	−	19.1293i	−0.246779	−	0.678019i
$797$	23.1133			0.818715			0.409357	−	0.912374i	$-0.365753\pi$
$797$	23.1133			0.818715			0.409357	+	0.912374i	$0.365753\pi$
$798$	10.0142	+	5.71981i	0.354498	+	0.202479i
$799$	4.20289			0.148688
$800$	1.01609	+	2.79168i	0.0359242	+	0.0987009i
$801$	8.06976	−	2.93715i	0.285131	−	0.103779i
$802$	28.9104	−	24.2587i	1.02086	−	0.856604i
$803$	1.25995	−	1.50154i	0.0444625	−	0.0529884i
$804$	−0.349789	−	0.416862i	−0.0123361	−	0.0147016i
$805$	−0.455367	−	0.400697i	−0.0160496	−	0.0141227i
$806$	0.161693	+	0.0933534i	0.00569539	+	0.00328823i
$807$	7.03470	−	5.90281i	0.247633	−	0.207789i
$808$	1.98978	+	0.724220i	0.0700002	+	0.0254780i
$809$	25.0012	+	43.3033i	0.878994	+	1.52246i	0.852446	+	0.522815i	$0.175118\pi$
$809$	25.0012	+	43.3033i	0.878994	+	1.52246i	0.0265477	+	0.999648i	$0.491549\pi$
$810$	−0.712241	+	1.23364i	−0.0250256	+	0.0433456i
$811$	−12.7576	+	10.7049i	−0.447981	+	0.375900i	−0.838686	−	0.544616i	$-0.816676\pi$
$811$	−12.7576	+	10.7049i	−0.447981	+	0.375900i	0.390705	+	0.920516i	$0.372231\pi$
$812$	−18.6917	+	14.9503i	−0.655950	+	0.524652i
$813$	10.5220	−	28.9090i	0.369024	−	1.01388i
$814$	0.108875	−	0.617461i	0.00381607	−	0.0216420i
$815$	−6.32772	+	7.54109i	−0.221651	+	0.264153i
$816$	1.82488	+	1.05359i	0.0638834	+	0.0368831i
$817$	−10.0682	+	12.7085i	−0.352243	+	0.444614i
$818$		−	32.6981i		−	1.14326i
$819$	4.32945	−	11.0782i	0.151283	−	0.387104i
$820$	−4.12209	+	4.91252i	−0.143950	+	0.171552i
$821$	6.77855	+	38.4431i	0.236573	+	1.34167i	0.839275	+	0.543707i	$0.182980\pi$
$821$	6.77855	+	38.4431i	0.236573	+	1.34167i	−0.602702	+	0.797966i	$0.705909\pi$
$822$	−4.17165	−	0.735575i	−0.145503	−	0.0256561i
$823$	−3.65941	−	20.7536i	−0.127559	−	0.723423i	−0.979755	−	0.200200i	$-0.935841\pi$
$823$	−3.65941	−	20.7536i	−0.127559	−	0.723423i	0.852196	−	0.523223i	$-0.175270\pi$
$824$	−6.67742	−	3.85521i	−0.232619	−	0.134303i
$825$	0.244356	−	0.423237i	0.00850739	−	0.0147352i
$826$	16.2208	−	26.6305i	0.564395	−	0.926592i
$827$	−33.0277	+	5.82368i	−1.14849	+	0.202509i	−0.715315	−	0.698802i	$-0.753717\pi$
$827$	−33.0277	+	5.82368i	−1.14849	+	0.202509i	−0.433172	+	0.901311i	$0.642606\pi$
$828$	0.160942			0.00559312
$829$	51.5117			1.78908			0.894538	−	0.446993i	$-0.147505\pi$
$829$	51.5117			1.78908			0.894538	+	0.446993i	$0.147505\pi$
$830$	14.8142	−	2.61215i	0.514209	−	0.0906689i
$831$	−4.16555	−	3.49531i	−0.144501	−	0.121251i
$832$	−4.22445	−	1.53757i	−0.146456	−	0.0533058i
$833$	−13.1064	+	6.76707i	−0.454110	+	0.234465i
$834$	−0.187515	+	1.06345i	−0.00649312	+	0.0368243i
$835$	−0.495798	+	0.286249i	−0.0171578	+	0.00990606i
$836$	−0.702374	+	0.144332i	−0.0242921	+	0.00499183i
$837$	−0.0207657	+	0.0359672i	−0.000717767	+	0.00124321i
$838$	−5.19726	+	1.89165i	−0.179536	+	0.0653459i
$839$	−2.49679	−	2.09505i	−0.0861986	−	0.0723292i	0.598670	−	0.800996i	$-0.295696\pi$
$839$	−2.49679	−	2.09505i	−0.0861986	−	0.0723292i	−0.684869	+	0.728666i	$0.740140\pi$
$840$	−3.30726	+	1.80723i	−0.114111	+	0.0623553i
$841$	49.6548	−	18.0729i	1.71223	−	0.623202i
$842$	−14.7355	−	5.36327i	−0.507817	−	0.184830i
$843$		−	15.4887i		−	0.533461i
$844$	−18.8430	+	10.8790i	−0.648604	+	0.374472i
$845$	6.60186	+	7.86780i	0.227111	+	0.270660i
$846$	−0.346350	−	1.96425i	−0.0119078	−	0.0675323i
$847$	−19.1784	+	21.7951i	−0.658979	+	0.748888i
$848$	−6.88628	+	3.97580i	−0.236476	+	0.136529i
$849$	−3.56913	+	9.80611i	−0.122492	+	0.336545i
$850$	1.08706	−	6.16502i	0.0372858	−	0.211458i
$851$	−0.394295	−	0.469903i	−0.0135163	−	0.0161081i
$852$	3.53198	+	0.622783i	0.121003	+	0.0213362i
$853$	2.19687	+	0.387368i	0.0752196	+	0.0132632i	0.211131	−	0.977458i	$-0.432285\pi$
$853$	2.19687	+	0.387368i	0.0752196	+	0.0132632i	−0.135912	+	0.990721i	$0.543396\pi$
$854$	0.0543578	+	0.161018i	0.00186009	+	0.00550993i
$855$	−3.25464	−	5.28783i	−0.111306	−	0.180840i
$856$	1.40181	+	2.42800i	0.0479128	+	0.0829875i
$857$	5.01327	+	4.20663i	0.171250	+	0.143696i	0.724385	−	0.689396i	$-0.242124\pi$
$857$	5.01327	+	4.20663i	0.171250	+	0.143696i	−0.553135	+	0.833092i	$0.686568\pi$
$858$	0.252935	+	0.694933i	0.00863506	+	0.0237246i
$859$	45.7211	−	8.06186i	1.55998	−	0.275067i	0.673981	−	0.738748i	$-0.264583\pi$
$859$	45.7211	−	8.06186i	1.55998	−	0.275067i	0.886002	+	0.463681i	$0.153472\pi$
$860$	−1.81220	−	4.97899i	−0.0617956	−	0.169782i
$861$	10.1723	+	6.19606i	0.346673	+	0.211161i
$862$	6.44630	+	11.1653i	0.219562	+	0.380292i
$863$		−	2.20910i		−	0.0751986i	−0.999293	−	0.0375993i	$-0.988029\pi$
$863$		−	2.20910i		−	0.0751986i	0.999293	−	0.0375993i	$-0.0119710\pi$
$864$	0.342020	−	0.939693i	0.0116358	−	0.0319690i
$865$	7.14859	−	19.6406i	0.243059	−	0.667800i
$866$			15.7590i			0.535512i
$867$	6.27989	+	10.8771i	0.213276	+	0.369405i
$868$	−0.0964245	+	0.0526904i	−0.00327286	+	0.00178843i
$869$	−0.443672	−	1.21898i	−0.0150506	−	0.0413510i
$870$	12.6910	−	2.23776i	0.430265	−	0.0758673i
$871$	−0.836709	−	2.29884i	−0.0283508	−	0.0778932i
$872$	9.96872	+	8.36475i	0.337583	+	0.283266i
$873$	3.92968	+	6.80640i	0.132999	+	0.230362i
$874$	−0.333533	+	0.617170i	−0.0112819	+	0.0208761i
$875$	22.5526	+	19.8450i	0.762418	+	0.670885i
$876$	−11.7345	−	2.06910i	−0.396470	−	0.0699084i
$877$	−2.62431	−	0.462737i	−0.0886167	−	0.0156255i	0.129164	−	0.991623i	$-0.458771\pi$
$877$	−2.62431	−	0.462737i	−0.0886167	−	0.0156255i	−0.217781	+	0.975998i	$0.569882\pi$
$878$	−20.9783	−	25.0009i	−0.707982	−	0.843740i
$879$	0.899733	−	5.10264i	0.0303473	−	0.172108i
$880$	0.0801460	−	0.220199i	0.00270172	−	0.00742292i
$881$	29.9934	−	17.3167i	1.01050	−	0.583414i	0.0991640	−	0.995071i	$-0.468383\pi$
$881$	29.9934	−	17.3167i	1.01050	−	0.583414i	0.911339	+	0.411657i	$0.135050\pi$
$882$	4.24271	+	5.56771i	0.142859	+	0.187475i
$883$	−0.428405	−	2.42961i	−0.0144170	−	0.0817628i	0.976750	−	0.214380i	$-0.0687731\pi$
$883$	−0.428405	−	2.42961i	−0.0144170	−	0.0817628i	−0.991167	+	0.132617i	$0.957662\pi$
$884$	6.08912	+	7.25673i	0.204799	+	0.244070i
$885$	−14.5391	+	8.39417i	−0.488727	+	0.282167i
$886$			13.0736i			0.439216i
$887$	42.4570	+	15.4531i	1.42557	+	0.518864i	0.935657	−	0.352910i	$-0.114808\pi$
$887$	42.4570	+	15.4531i	1.42557	+	0.518864i	0.489909	+	0.871774i	$0.337030\pi$
$888$	−3.58155	+	1.30358i	−0.120189	+	0.0437452i
$889$	−17.4820	−	31.9924i	−0.586328	−	1.07299i
$890$	−9.37100	−	7.86320i	−0.314117	−	0.263575i
$891$	−0.154582	+	0.0562632i	−0.00517869	+	0.00188489i
$892$	12.0197	−	20.8187i	0.402450	−	0.697063i
$893$	8.25016	+	2.74252i	0.276081	+	0.0917749i
$894$	9.20135	−	5.31240i	0.307739	−	0.177673i
$895$	−3.14354	+	17.8279i	−0.105077	+	0.595921i
$896$	2.06615	−	1.65258i	0.0690252	−	0.0552088i
$897$	0.679891	+	0.247460i	0.0227009	+	0.00826245i
$898$	−15.2742	−	12.8166i	−0.509707	−	0.427695i
$899$	0.370011	−	0.0652429i	0.0123405	−	0.00217597i
$900$	−2.97085			−0.0990283
$901$	16.7555			0.558206
$902$	−0.729318	+	0.128598i	−0.0242836	+	0.00428186i
$903$	−8.63594	+	4.71904i	−0.287386	+	0.157040i
$904$	4.26579	−	7.38857i	0.141878	−	0.245740i
$905$	−15.2872	−	8.82605i	−0.508163	−	0.293388i
$906$	−1.68729	−	9.56911i	−0.0560566	−	0.317913i
$907$	−20.3259	−	3.58401i	−0.674911	−	0.119005i	−0.174320	−	0.984689i	$-0.555773\pi$
$907$	−20.3259	−	3.58401i	−0.674911	−	0.119005i	−0.500591	+	0.865684i	$0.666884\pi$
$908$	−4.31707	−	24.4833i	−0.143267	−	0.812507i
$909$	−1.36109	+	1.62208i	−0.0451445	+	0.0538011i
$910$	−16.7501	+	2.54938i	−0.555261	+	0.0845113i
$911$		−	3.96660i		−	0.131419i	−0.997839	−	0.0657096i	$-0.979069\pi$
$911$		−	3.96660i		−	0.131419i	0.997839	−	0.0657096i	$-0.0209311\pi$
$912$	2.89468	+	3.25896i	0.0958524	+	0.107915i
$913$	1.50444	+	0.868586i	0.0497895	+	0.0287460i
$914$	5.95661	−	7.09881i	0.197027	−	0.234808i
$915$	0.0158887	−	0.0901095i	0.000525265	−	0.00297893i
$916$	1.83470	−	5.04081i	0.0606203	−	0.166553i
$917$	3.38837	+	22.2625i	0.111894	+	0.735172i
$918$	−1.61420	+	1.35447i	−0.0532764	+	0.0447042i
$919$	12.2971	−	21.2992i	0.405644	−	0.702595i	−0.588753	−	0.808313i	$-0.700381\pi$
$919$	12.2971	−	21.2992i	0.405644	−	0.702595i	0.994396	+	0.105718i	$0.0337141\pi$
$920$	−0.114629	−	0.198544i	−0.00377922	−	0.00654581i
$921$	12.9145	+	4.70048i	0.425546	+	0.154886i
$922$	−10.6508	+	8.93709i	−0.350766	+	0.294327i
$923$	13.9631	+	8.06159i	0.459600	+	0.265350i
$924$	−0.426727	−	0.0856244i	−0.0140383	−	0.00281684i
$925$	7.27835	+	8.67400i	0.239311	+	0.285199i
$926$	−25.9329	+	30.9057i	−0.852209	+	1.01562i
$927$	5.90653	−	4.95616i	0.193996	−	0.162782i
$928$	−8.50105	+	3.09413i	−0.279061	+	0.101570i
$929$	17.2297	+	47.3383i	0.565289	+	1.55312i	0.811774	+	0.583972i	$0.198502\pi$
$929$	17.2297	+	47.3383i	0.565289	+	1.55312i	−0.246485	+	0.969147i	$0.579275\pi$
$930$	0.0591607			0.00193996
$931$	−30.1432	+	4.73124i	−0.987905	+	0.155060i
$932$	14.2714			0.467475
$933$	−0.885653	−	2.43331i	−0.0289950	−	0.0796631i
$934$	−0.809248	+	0.294542i	−0.0264794	+	0.00963771i
$935$	−0.378257	+	0.317395i	−0.0123703	+	0.0103799i
$936$	2.88969	−	3.44380i	0.0944526	−	0.112564i
$937$	0.195227	+	0.232663i	0.00637780	+	0.00760076i	0.769224	−	0.638979i	$-0.220643\pi$
$937$	0.195227	+	0.232663i	0.00637780	+	0.00760076i	−0.762846	+	0.646580i	$0.776199\pi$
$938$	1.41162	+	0.283246i	0.0460909	+	0.00924830i
$939$	4.03379	+	2.32891i	0.131638	+	0.0760011i
$940$	−2.17649	+	1.82629i	−0.0709893	+	0.0595671i
$941$	−5.88509	−	2.14200i	−0.191848	−	0.0698271i	0.244309	−	0.969697i	$-0.421439\pi$
$941$	−5.88509	−	2.14200i	−0.191848	−	0.0698271i	−0.436158	+	0.899870i	$0.643661\pi$
$942$	7.95766	+	13.7831i	0.259275	+	0.449077i
$943$	−0.362270	+	0.627469i	−0.0117971	+	0.0204332i
$944$	9.02827	−	7.57562i	0.293845	−	0.246565i
$945$	−0.567089	−	3.72592i	−0.0184474	−	0.121204i
$946$	0.209278	−	0.574985i	0.00680420	−	0.0186944i
$947$	−6.28199	+	35.6269i	−0.204137	+	1.15772i	0.694655	+	0.719344i	$0.255557\pi$
$947$	−6.28199	+	35.6269i	−0.204137	+	1.15772i	−0.898792	+	0.438376i	$0.855554\pi$
$948$	−5.06880	+	6.04076i	−0.164627	+	0.196195i
$949$	−46.3902	−	26.7834i	−1.50589	−	0.869426i
$950$	6.15674	−	11.3924i	0.199751	−	0.369619i
$951$		−	8.50055i		−	0.275649i
$952$	−5.51161	+	0.838873i	−0.178632	+	0.0271880i
$953$	0.0497638	−	0.0593062i	0.00161201	−	0.00192112i	−0.765238	−	0.643748i	$-0.777379\pi$
$953$	0.0497638	−	0.0593062i	0.00161201	−	0.00192112i	0.766850	+	0.641827i	$0.221823\pi$
$954$	−1.38078	−	7.83079i	−0.0447044	−	0.253531i
$955$	−22.9522	−	4.04709i	−0.742715	−	0.130961i
$956$	−4.81234	−	27.2922i	−0.155642	−	0.882692i
$957$	1.28881	+	0.744097i	0.0416614	+	0.0240532i
$958$	−15.5824	+	26.9895i	−0.503445	+	0.871992i
$959$	9.83486	−	5.37418i	0.317584	−	0.173541i
$960$	−1.40284	+	0.247359i	−0.0452765	+	0.00798347i
$961$	−30.9983			−0.999944
$962$	−17.1344			−0.552436
$963$	−2.76102	+	0.486843i	−0.0889728	+	0.0156883i
$964$	6.81930	+	5.72207i	0.219635	+	0.184295i
$965$	−11.1769	−	4.06805i	−0.359796	−	0.130955i
$966$	−0.332530	+	0.265969i	−0.0106990	+	0.00855743i
$967$	5.82717	−	33.0475i	0.187389	−	1.06274i	−0.735458	−	0.677571i	$-0.763033\pi$
$967$	5.82717	−	33.0475i	0.187389	−	1.06274i	0.922847	−	0.385167i	$-0.125856\pi$
$968$	−9.50284	+	5.48647i	−0.305433	+	0.176342i
$969$	−1.84881	−	8.99701i	−0.0593924	−	0.289026i
$970$	5.59776	−	9.69560i	0.179733	−	0.311307i
$971$	10.4278	−	3.79542i	0.334645	−	0.121801i	−0.169232	−	0.985576i	$-0.554129\pi$
$971$	10.4278	−	3.79542i	0.334645	−	0.121801i	0.503877	+	0.863775i	$0.331906\pi$
$972$	0.766044	+	0.642788i	0.0245709	+	0.0206174i
$973$	−1.37000	−	2.50714i	−0.0439203	−	0.0803751i
$974$	−40.3751	+	14.6953i	−1.29370	+	0.470869i
$975$	−12.5502	−	4.56790i	−0.401928	−	0.146290i
$976$			0.0642335i			0.00205607i
$977$	−44.7811	+	25.8544i	−1.43267	+	0.827155i	−0.997324	−	0.0731057i	$-0.976709\pi$
$977$	−44.7811	+	25.8544i	−1.43267	+	0.827155i	−0.435351	+	0.900261i	$0.643376\pi$
$978$	4.44212	+	5.29391i	0.142043	+	0.169281i
$979$	−0.245311	−	1.39123i	−0.00784019	−	0.0444639i
$980$	3.84671	−	9.19952i	0.122879	−	0.293868i
$981$	−11.2698	+	6.50662i	−0.359817	+	0.207740i
$982$	−2.58494	+	7.10206i	−0.0824887	+	0.226636i
$983$	5.27717	−	29.9283i	0.168316	−	0.954565i	−0.777264	−	0.629174i	$-0.783393\pi$
$983$	5.27717	−	29.9283i	0.168316	−	0.954565i	0.945580	−	0.325390i	$-0.105496\pi$
$984$	2.89374	+	3.44863i	0.0922492	+	0.109938i
$985$	21.4593	+	3.78385i	0.683749	+	0.120563i
$986$	18.7733	+	3.31024i	0.597864	+	0.105420i
$987$	3.96170	+	3.48607i	0.126102	+	0.110963i
$988$	7.21753	+	18.2181i	0.229620	+	0.579595i
$989$	−0.299321	−	0.518439i	−0.00951785	−	0.0164854i
$990$	0.179508	+	0.150625i	0.00570514	+	0.00478718i
$991$	−16.7920	−	46.1357i	−0.533416	−	1.46555i	−0.854981	−	0.518660i	$-0.826431\pi$
$991$	−16.7920	−	46.1357i	−0.533416	−	1.46555i	0.321565	−	0.946888i	$-0.395791\pi$
$992$	−0.0409004	+	0.00721184i	−0.00129859	+	0.000228976i
$993$	−8.33002	−	22.8865i	−0.264345	−	0.726282i
$994$	−8.32679	+	4.55011i	−0.264110	+	0.144321i
$995$	−14.4991	−	25.1131i	−0.459651	−	0.796139i
$996$		−	10.5601i		−	0.334611i
$997$	18.8328	−	51.7427i	0.596441	−	1.63871i	−0.161868	−	0.986812i	$-0.551752\pi$
$997$	18.8328	−	51.7427i	0.596441	−	1.63871i	0.758309	−	0.651895i	$-0.226026\pi$
$998$	−1.17566	+	3.23011i	−0.0372150	+	0.102247i
$999$		−	3.81140i		−	0.120587i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	798.2.ca.a.325.8	✓	72
7.5	odd	6		798.2.cj.a.439.8	yes	72
19.10	odd	18		798.2.cj.a.409.8	yes	72
133.124	even	18	inner	798.2.ca.a.523.8	yes	72

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
798.2.ca.a.325.8	✓	72	1.1	even	1	trivial
798.2.ca.a.523.8	yes	72	133.124	even	18	inner
798.2.cj.a.409.8	yes	72	19.10	odd	18
798.2.cj.a.439.8	yes	72	7.5	odd	6

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:	\( N \)	\(=\)	\( 798 = 2 \cdot 3 \cdot 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	798.ca (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.342020 + 0.939693i) q^{2} +(0.939693 - 0.342020i) q^{3} +(-0.766044 + 0.642788i) q^{4} +(-0.915640 + 1.09122i) q^{5} +(0.642788 + 0.766044i) q^{6} +(-2.59405 - 0.520505i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(0.766044 - 0.642788i) q^{9} +O(q^{10})\)	\(q+(0.342020 + 0.939693i) q^{2} +(0.939693 - 0.342020i) q^{3} +(-0.766044 + 0.642788i) q^{4} +(-0.915640 + 1.09122i) q^{5} +(0.642788 + 0.766044i) q^{6} +(-2.59405 - 0.520505i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(0.766044 - 0.642788i) q^{9} +(-1.33858 - 0.487202i) q^{10} +(-0.0822513 - 0.142463i) q^{11} +(-0.500000 + 0.866025i) q^{12} +(-3.44380 + 2.88969i) q^{13} +(-0.398101 - 2.61563i) q^{14} +(-0.487202 + 1.33858i) q^{15} +(0.173648 - 0.984808i) q^{16} +(-1.35447 + 1.61420i) q^{17} +(0.866025 + 0.500000i) q^{18} +(-3.71211 + 2.28479i) q^{19} -1.42448i q^{20} +(-2.61563 + 0.398101i) q^{21} +(0.105740 - 0.126016i) q^{22} +(-0.0279473 - 0.158497i) q^{23} +(-0.984808 - 0.173648i) q^{24} +(0.515882 + 2.92571i) q^{25} +(-3.89327 - 2.24778i) q^{26} +(0.500000 - 0.866025i) q^{27} +(2.32173 - 1.26869i) q^{28} +(-8.90919 + 1.57093i) q^{29} -1.42448 q^{30} -0.0415313 q^{31} +(0.984808 - 0.173648i) q^{32} +(-0.126016 - 0.105740i) q^{33} +(-1.98011 - 0.720699i) q^{34} +(2.94320 - 2.35407i) q^{35} +(-0.173648 + 0.984808i) q^{36} +(3.30077 - 1.90570i) q^{37} +(-3.41662 - 2.70680i) q^{38} +(-2.24778 + 3.89327i) q^{39} +(1.33858 - 0.487202i) q^{40} +(-3.44863 - 2.89374i) q^{41} +(-1.26869 - 2.32173i) q^{42} +(3.49529 - 1.27218i) q^{43} +(0.154582 + 0.0562632i) q^{44} +1.42448i q^{45} +(0.139380 - 0.0804710i) q^{46} +(-1.28207 - 1.52792i) q^{47} +(-0.173648 - 0.984808i) q^{48} +(6.45815 + 2.70043i) q^{49} +(-2.57283 + 1.48542i) q^{50} +(-0.720699 + 1.98011i) q^{51} +(0.780647 - 4.42727i) q^{52} +(-5.11119 - 6.09127i) q^{53} +(0.984808 + 0.173648i) q^{54} +(0.230771 + 0.0406912i) q^{55} +(1.98626 + 1.74779i) q^{56} +(-2.70680 + 3.41662i) q^{57} +(-4.52331 - 7.83461i) q^{58} +(9.02827 + 7.57562i) q^{59} +(-0.487202 - 1.33858i) q^{60} +(-0.0632577 + 0.0111540i) q^{61} +(-0.0142046 - 0.0390267i) q^{62} +(-2.32173 + 1.26869i) q^{63} +(0.500000 + 0.866025i) q^{64} -6.40386i q^{65} +(0.0562632 - 0.154582i) q^{66} +(-0.186119 + 0.511357i) q^{67} -2.10718i q^{68} +(-0.0804710 - 0.139380i) q^{69} +(3.21874 + 1.96056i) q^{70} +(-1.22664 - 3.37017i) q^{71} +(-0.984808 + 0.173648i) q^{72} +(4.07533 + 11.1969i) q^{73} +(2.91970 + 2.44992i) q^{74} +(1.48542 + 2.57283i) q^{75} +(1.37500 - 4.13635i) q^{76} +(0.139211 + 0.412369i) q^{77} +(-4.42727 - 0.780647i) q^{78} +(7.76585 + 1.36933i) q^{79} +(0.915640 + 1.09122i) q^{80} +(0.173648 - 0.984808i) q^{81} +(1.53973 - 4.23037i) q^{82} +(-9.14536 + 5.28007i) q^{83} +(1.74779 - 1.98626i) q^{84} +(-0.521231 - 2.95605i) q^{85} +(2.39092 + 2.84939i) q^{86} +(-7.83461 + 4.52331i) q^{87} +0.164503i q^{88} +(8.06976 + 2.93715i) q^{89} +(-1.33858 + 0.487202i) q^{90} +(10.4375 - 5.70348i) q^{91} +(0.123289 + 0.103451i) q^{92} +(-0.0390267 + 0.0142046i) q^{93} +(0.997276 - 1.72733i) q^{94} +(0.905752 - 6.14276i) q^{95} +(0.866025 - 0.500000i) q^{96} +(-1.36476 + 7.73995i) q^{97} +(-0.328754 + 6.99228i) q^{98} +(-0.154582 - 0.0562632i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 72 q - 6 q^{7}+O(q^{10}) \) 72 * q - 6 * q^7	\( 72 q - 6 q^{7} + 6 q^{10} + 6 q^{11} - 36 q^{12} + 30 q^{13} - 12 q^{14} + 18 q^{17} + 54 q^{19} - 12 q^{21} + 12 q^{22} - 6 q^{23} + 24 q^{25} + 18 q^{26} + 36 q^{27} + 6 q^{28} - 12 q^{31} - 6 q^{33} + 6 q^{34} - 24 q^{35} + 18 q^{37} - 24 q^{38} - 6 q^{40} + 18 q^{42} + 6 q^{43} - 6 q^{44} + 18 q^{46} - 18 q^{47} + 12 q^{49} + 42 q^{52} - 12 q^{53} - 30 q^{55} + 18 q^{56} + 6 q^{57} - 78 q^{59} - 42 q^{61} - 12 q^{62} - 6 q^{63} + 36 q^{64} - 6 q^{66} - 6 q^{67} + 6 q^{69} - 54 q^{70} + 6 q^{71} + 12 q^{73} - 6 q^{75} - 18 q^{76} + 48 q^{77} - 12 q^{78} - 12 q^{79} + 12 q^{82} + 18 q^{83} - 6 q^{84} + 84 q^{85} + 6 q^{86} - 24 q^{89} + 6 q^{90} + 48 q^{91} + 6 q^{92} + 48 q^{93} - 18 q^{94} - 120 q^{95} + 30 q^{97} + 60 q^{98} + 6 q^{99}+O(q^{100}) \) 72 * q - 6 * q^7 + 6 * q^10 + 6 * q^11 - 36 * q^12 + 30 * q^13 - 12 * q^14 + 18 * q^17 + 54 * q^19 - 12 * q^21 + 12 * q^22 - 6 * q^23 + 24 * q^25 + 18 * q^26 + 36 * q^27 + 6 * q^28 - 12 * q^31 - 6 * q^33 + 6 * q^34 - 24 * q^35 + 18 * q^37 - 24 * q^38 - 6 * q^40 + 18 * q^42 + 6 * q^43 - 6 * q^44 + 18 * q^46 - 18 * q^47 + 12 * q^49 + 42 * q^52 - 12 * q^53 - 30 * q^55 + 18 * q^56 + 6 * q^57 - 78 * q^59 - 42 * q^61 - 12 * q^62 - 6 * q^63 + 36 * q^64 - 6 * q^66 - 6 * q^67 + 6 * q^69 - 54 * q^70 + 6 * q^71 + 12 * q^73 - 6 * q^75 - 18 * q^76 + 48 * q^77 - 12 * q^78 - 12 * q^79 + 12 * q^82 + 18 * q^83 - 6 * q^84 + 84 * q^85 + 6 * q^86 - 24 * q^89 + 6 * q^90 + 48 * q^91 + 6 * q^92 + 48 * q^93 - 18 * q^94 - 120 * q^95 + 30 * q^97 + 60 * q^98 + 6 * q^99

Introduction

L-functions

Modular forms

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Database

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