LMFDB - Embedded newform 280.2.br.a.107.31

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(67,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 6, 3, 8]))

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

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

chi := DirichletCharacter("280.67");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.br (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$176$
Relative dimension:	$44$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			107.31
Character	$\chi$	$=$	280.107
Dual form			280.2.br.a.123.31

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.781489 + 1.17868i) q^{2} +(0.549269 + 0.147176i) q^{3} +(-0.778551 + 1.84224i) q^{4} +(2.22431 + 0.229040i) q^{5} +(0.255774 + 0.762426i) q^{6} +(2.61907 - 0.374780i) q^{7} +(-2.77983 + 0.522034i) q^{8} +(-2.31804 - 1.33832i) q^{9} +O(q^{10})$	\(q+(0.781489 + 1.17868i) q^{2} +(0.549269 + 0.147176i) q^{3} +(-0.778551 + 1.84224i) q^{4} +(2.22431 + 0.229040i) q^{5} +(0.255774 + 0.762426i) q^{6} +(2.61907 - 0.374780i) q^{7} +(-2.77983 + 0.522034i) q^{8} +(-2.31804 - 1.33832i) q^{9} +(1.46831 + 2.80073i) q^{10} +(-0.117907 - 0.204221i) q^{11} +(-0.698767 + 0.897302i) q^{12} +(1.40109 + 1.40109i) q^{13} +(2.48852 + 2.79415i) q^{14} +(1.18803 + 0.453169i) q^{15} +(-2.78772 - 2.86856i) q^{16} +(-0.0907359 + 0.338631i) q^{17} +(-0.234076 - 3.77810i) q^{18} +(-4.33718 - 2.50407i) q^{19} +(-2.15368 + 3.91939i) q^{20} +(1.49373 + 0.179610i) q^{21} +(0.148567 - 0.298570i) q^{22} +(-6.36081 + 1.70437i) q^{23} +(-1.60371 - 0.122388i) q^{24} +(4.89508 + 1.01891i) q^{25} +(-0.556496 + 2.74638i) q^{26} +(-2.28254 - 2.28254i) q^{27} +(-1.34865 + 5.11675i) q^{28} +7.86489 q^{29} +(0.394295 + 1.75445i) q^{30} +(-3.36151 + 1.94077i) q^{31} +(1.20253 - 5.52756i) q^{32} +(-0.0347061 - 0.129525i) q^{33} +(-0.470045 + 0.157688i) q^{34} +(5.91146 - 0.233753i) q^{35} +(4.27023 - 3.22844i) q^{36} +(-0.387695 - 1.44690i) q^{37} +(-0.437970 - 7.06903i) q^{38} +(0.563370 + 0.975785i) q^{39} +(-6.30277 + 0.524470i) q^{40} -6.42351 q^{41} +(0.955633 + 1.90099i) q^{42} +(4.12195 - 4.12195i) q^{43} +(0.468021 - 0.0582169i) q^{44} +(-4.84951 - 3.50776i) q^{45} +(-6.97980 - 6.16538i) q^{46} +(-1.95620 - 7.30064i) q^{47} +(-1.10902 - 1.98589i) q^{48} +(6.71908 - 1.96315i) q^{49} +(2.62449 + 6.56598i) q^{50} +(-0.0996768 + 0.172645i) q^{51} +(-3.67198 + 1.49033i) q^{52} +(1.76141 - 6.57366i) q^{53} +(0.906592 - 4.47414i) q^{54} +(-0.215486 - 0.481255i) q^{55} +(-7.08494 + 2.40907i) q^{56} +(-2.01374 - 2.01374i) q^{57} +(6.14633 + 9.27016i) q^{58} +(-1.81102 + 1.04559i) q^{59} +(-1.75979 + 1.83583i) q^{60} +(13.2787 + 7.66647i) q^{61} +(-4.91451 - 2.44544i) q^{62} +(-6.57269 - 2.63641i) q^{63} +(7.45496 - 2.90233i) q^{64} +(2.79556 + 3.43737i) q^{65} +(0.125546 - 0.142130i) q^{66} +(2.89914 - 10.8197i) q^{67} +(-0.553198 - 0.430799i) q^{68} -3.74463 q^{69} +(4.89526 + 6.78502i) q^{70} +7.22719i q^{71} +(7.14242 + 2.51022i) q^{72} +(-9.64846 - 2.58530i) q^{73} +(1.40244 - 1.58770i) q^{74} +(2.53876 + 1.28009i) q^{75} +(7.98983 - 6.04059i) q^{76} +(-0.385344 - 0.490680i) q^{77} +(-0.709867 + 1.42659i) q^{78} +(-4.98983 + 8.64265i) q^{79} +(-5.54373 - 7.01905i) q^{80} +(3.09717 + 5.36446i) q^{81} +(-5.01990 - 7.57123i) q^{82} +(-4.45701 + 4.45701i) q^{83} +(-1.49383 + 2.61198i) q^{84} +(-0.279385 + 0.732437i) q^{85} +(8.07969 + 1.63718i) q^{86} +(4.31994 + 1.15752i) q^{87} +(0.434372 + 0.506148i) q^{88} +(-5.18325 - 2.99255i) q^{89} +(0.344678 - 8.45727i) q^{90} +(4.19467 + 3.14447i) q^{91} +(1.81234 - 13.0451i) q^{92} +(-2.13200 + 0.571269i) q^{93} +(7.07634 - 8.01110i) q^{94} +(-9.07369 - 6.56321i) q^{95} +(1.47404 - 2.85913i) q^{96} +(7.34569 + 7.34569i) q^{97} +(7.56480 + 6.38543i) q^{98} +0.631189i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8}+O(q^{10}) $ 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8	$ 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8} - 2 q^{10} - 8 q^{11} - 14 q^{12} + 4 q^{16} - 4 q^{17} - 16 q^{18} + 8 q^{20} - 4 q^{25} - 20 q^{26} - 40 q^{27} - 34 q^{28} - 12 q^{30} + 18 q^{32} + 20 q^{33} - 32 q^{35} - 48 q^{36} - 16 q^{38} - 22 q^{40} - 32 q^{41} + 30 q^{42} - 16 q^{43} + 20 q^{46} + 36 q^{48} + 68 q^{50} - 8 q^{51} - 32 q^{52} - 52 q^{56} - 40 q^{57} - 14 q^{58} - 50 q^{60} + 56 q^{62} - 4 q^{65} - 60 q^{66} - 28 q^{67} - 40 q^{68} + 64 q^{70} - 48 q^{72} - 4 q^{73} - 4 q^{75} - 144 q^{76} + 184 q^{78} - 40 q^{80} + 32 q^{81} + 74 q^{82} - 16 q^{83} - 56 q^{86} - 64 q^{88} - 56 q^{90} + 16 q^{91} + 44 q^{92} - 104 q^{96} - 48 q^{97} + 70 q^{98}+O(q^{100}) $ 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8 - 2 * q^10 - 8 * q^11 - 14 * q^12 + 4 * q^16 - 4 * q^17 - 16 * q^18 + 8 * q^20 - 4 * q^25 - 20 * q^26 - 40 * q^27 - 34 * q^28 - 12 * q^30 + 18 * q^32 + 20 * q^33 - 32 * q^35 - 48 * q^36 - 16 * q^38 - 22 * q^40 - 32 * q^41 + 30 * q^42 - 16 * q^43 + 20 * q^46 + 36 * q^48 + 68 * q^50 - 8 * q^51 - 32 * q^52 - 52 * q^56 - 40 * q^57 - 14 * q^58 - 50 * q^60 + 56 * q^62 - 4 * q^65 - 60 * q^66 - 28 * q^67 - 40 * q^68 + 64 * q^70 - 48 * q^72 - 4 * q^73 - 4 * q^75 - 144 * q^76 + 184 * q^78 - 40 * q^80 + 32 * q^81 + 74 * q^82 - 16 * q^83 - 56 * q^86 - 64 * q^88 - 56 * q^90 + 16 * q^91 + 44 * q^92 - 104 * q^96 - 48 * q^97 + 70 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$-1$	$-1$	$e\left(\frac{1}{3}\right)$

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 $

$2$	0.781489	+	1.17868i	0.552596	+	0.833449i
$2$	0.781489	+	1.17868i	0.552596	+	0.833449i
$3$	0.549269	+	0.147176i	0.317120	+	0.0849721i	0.413868	−	0.910337i	$-0.364177\pi$
$3$	0.549269	+	0.147176i	0.317120	+	0.0849721i	−0.0967479	+	0.995309i	$0.530844\pi$
$4$	−0.778551	+	1.84224i	−0.389275	+	0.921121i
$5$	2.22431	+	0.229040i	0.994740	+	0.102430i
$5$	2.22431	+	0.229040i	0.994740	+	0.102430i
$6$	0.255774	+	0.762426i	0.104419	+	0.311259i
$7$	2.61907	−	0.374780i	0.989916	−	0.141653i
$7$	2.61907	−	0.374780i	0.989916	−	0.141653i
$8$	−2.77983	+	0.522034i	−0.982820	+	0.184567i
$9$	−2.31804	−	1.33832i	−0.772680	−	0.446107i
$10$	1.46831	+	2.80073i	0.464319	+	0.885668i
$11$	−0.117907	−	0.204221i	−0.0355503	−	0.0615749i	0.847703	−	0.530471i	$-0.177985\pi$
$11$	−0.117907	−	0.204221i	−0.0355503	−	0.0615749i	−0.883253	+	0.468897i	$0.844652\pi$
$12$	−0.698767	+	0.897302i	−0.201717	+	0.259029i
$13$	1.40109	+	1.40109i	0.388594	+	0.388594i	0.874186	−	0.485592i	$-0.161396\pi$
$13$	1.40109	+	1.40109i	0.388594	+	0.388594i	−0.485592	+	0.874186i	$0.661396\pi$
$14$	2.48852	+	2.79415i	0.665085	+	0.746768i
$15$	1.18803	+	0.453169i	0.306749	+	0.117008i
$16$	−2.78772	−	2.86856i	−0.696929	−	0.717140i
$17$	−0.0907359	+	0.338631i	−0.0220067	+	0.0821301i	−0.976056	−	0.217520i	$-0.930203\pi$
$17$	−0.0907359	+	0.338631i	−0.0220067	+	0.0821301i	0.954049	+	0.299650i	$0.0968699\pi$
$18$	−0.234076	−	3.77810i	−0.0551723	−	0.890507i
$19$	−4.33718	−	2.50407i	−0.995018	−	0.574474i	−0.0882474	−	0.996099i	$-0.528127\pi$
$19$	−4.33718	−	2.50407i	−0.995018	−	0.574474i	−0.906770	+	0.421625i	$0.861460\pi$
$20$	−2.15368	+	3.91939i	−0.481578	+	0.876403i
$21$	1.49373	+	0.179610i	0.325959	+	0.0391941i
$22$	0.148567	−	0.298570i	0.0316746	−	0.0636554i
$23$	−6.36081	+	1.70437i	−1.32632	+	0.355386i	−0.851342	−	0.524611i	$-0.824211\pi$
$23$	−6.36081	+	1.70437i	−1.32632	+	0.355386i	−0.474978	+	0.879998i	$0.657544\pi$
$24$	−1.60371	−	0.122388i	−0.327355	−	0.0249824i
$25$	4.89508	+	1.01891i	0.979016	+	0.203782i
$26$	−0.556496	+	2.74638i	−0.109138	+	0.538609i
$27$	−2.28254	−	2.28254i	−0.439274	−	0.439274i
$28$	−1.34865	+	5.11675i	−0.254870	+	0.966975i
$29$	7.86489			1.46047			0.730237	−	0.683194i	$-0.239410\pi$
$29$	7.86489			1.46047			0.730237	+	0.683194i	$0.239410\pi$
$30$	0.394295	+	1.75445i	0.0719881	+	0.320318i
$31$	−3.36151	+	1.94077i	−0.603744	+	0.348572i	−0.770513	−	0.637424i	$-0.780000\pi$
$31$	−3.36151	+	1.94077i	−0.603744	+	0.348572i	0.166769	+	0.985996i	$0.446667\pi$
$32$	1.20253	−	5.52756i	0.212579	−	0.977144i
$33$	−0.0347061	−	0.129525i	−0.00604156	−	0.0225474i
$34$	−0.470045	+	0.157688i	−0.0806121	+	0.0270433i
$35$	5.91146	−	0.233753i	0.999219	−	0.0395115i
$36$	4.27023	−	3.22844i	0.711704	−	0.538074i
$37$	−0.387695	−	1.44690i	−0.0637367	−	0.237869i	0.926707	−	0.375784i	$-0.122627\pi$
$37$	−0.387695	−	1.44690i	−0.0637367	−	0.237869i	−0.990444	+	0.137915i	$0.955960\pi$
$38$	−0.437970	−	7.06903i	−0.0710481	−	1.14675i
$39$	0.563370	+	0.975785i	0.0902114	+	0.156251i
$40$	−6.30277	+	0.524470i	−0.996556	+	0.0829260i
$41$	−6.42351			−1.00318			−0.501592	−	0.865105i	$-0.667252\pi$
$41$	−6.42351			−1.00318			−0.501592	+	0.865105i	$0.667252\pi$
$42$	0.955633	+	1.90099i	0.147457	+	0.293329i
$43$	4.12195	−	4.12195i	0.628591	−	0.628591i	−0.319122	−	0.947714i	$-0.603388\pi$
$43$	4.12195	−	4.12195i	0.628591	−	0.628591i	0.947714	+	0.319122i	$0.103388\pi$
$44$	0.468021	−	0.0582169i	0.0705568	−	0.00877653i
$45$	−4.84951	−	3.50776i	−0.722922	−	0.522906i
$46$	−6.97980	−	6.16538i	−1.02912	−	0.909035i
$47$	−1.95620	−	7.30064i	−0.285341	−	1.06491i	−0.948590	−	0.316509i	$-0.897489\pi$
$47$	−1.95620	−	7.30064i	−0.285341	−	1.06491i	0.663248	−	0.748399i	$-0.269177\pi$
$48$	−1.10902	−	1.98589i	−0.160074	−	0.286639i
$49$	6.71908	−	1.96315i	0.959869	−	0.280450i
$50$	2.62449	+	6.56598i	0.371159	+	0.928569i
$51$	−0.0996768	+	0.172645i	−0.0139575	+	0.0241752i
$52$	−3.67198	+	1.49033i	−0.509212	+	0.206672i
$53$	1.76141	−	6.57366i	0.241948	−	0.902961i	−0.732945	−	0.680288i	$-0.761855\pi$
$53$	1.76141	−	6.57366i	0.241948	−	0.902961i	0.974893	−	0.222674i	$-0.0714784\pi$
$54$	0.906592	−	4.47414i	0.123372	−	0.608854i
$55$	−0.215486	−	0.481255i	−0.0290562	−	0.0648924i
$56$	−7.08494	+	2.40907i	−0.946765	+	0.321925i
$57$	−2.01374	−	2.01374i	−0.266726	−	0.266726i
$58$	6.14633	+	9.27016i	0.807052	+	1.21723i
$59$	−1.81102	+	1.04559i	−0.235774	+	0.136124i	−0.613233	−	0.789902i	$-0.710131\pi$
$59$	−1.81102	+	1.04559i	−0.235774	+	0.136124i	0.377459	+	0.926026i	$0.376798\pi$
$60$	−1.75979	+	1.83583i	−0.227188	+	0.237005i
$61$	13.2787	+	7.66647i	1.70016	+	0.981591i	0.945581	+	0.325387i	$0.105495\pi$
$61$	13.2787	+	7.66647i	1.70016	+	0.981591i	0.754584	+	0.656203i	$0.227839\pi$
$62$	−4.91451	−	2.44544i	−0.624144	−	0.310571i
$63$	−6.57269	−	2.63641i	−0.828082	−	0.332156i
$64$	7.45496	−	2.90233i	0.931870	−	0.362792i
$65$	2.79556	+	3.43737i	0.346746	+	0.426353i
$66$	0.125546	−	0.142130i	0.0154536	−	0.0174950i
$67$	2.89914	−	10.8197i	0.354187	−	1.32184i	−0.527318	−	0.849668i	$-0.676803\pi$
$67$	2.89914	−	10.8197i	0.354187	−	1.32184i	0.881505	−	0.472175i	$-0.156531\pi$
$68$	−0.553198	−	0.430799i	−0.0670851	−	0.0522421i
$69$	−3.74463			−0.450801
$70$	4.89526	+	6.78502i	0.585095	+	0.810965i
$71$			7.22719i			0.857709i	0.903374	+	0.428855i	$0.141083\pi$
$71$			7.22719i			0.857709i	−0.903374	+	0.428855i	$0.858917\pi$
$72$	7.14242	+	2.51022i	0.841742	+	0.295832i
$73$	−9.64846	−	2.58530i	−1.12927	−	0.302586i	−0.354639	−	0.935003i	$-0.615396\pi$
$73$	−9.64846	−	2.58530i	−1.12927	−	0.302586i	−0.774628	+	0.632417i	$0.782063\pi$
$74$	1.40244	−	1.58770i	0.163031	−	0.184567i
$75$	2.53876	+	1.28009i	0.293150	+	0.147813i
$76$	7.98983	−	6.04059i	0.916496	−	0.692904i
$77$	−0.385344	−	0.490680i	−0.0439141	−	0.0559181i
$78$	−0.709867	+	1.42659i	−0.0803766	+	0.161530i
$79$	−4.98983	+	8.64265i	−0.561400	+	0.972374i	0.435974	+	0.899959i	$0.356404\pi$
$79$	−4.98983	+	8.64265i	−0.561400	+	0.972374i	−0.997375	+	0.0724146i	$0.976930\pi$
$80$	−5.54373	−	7.01905i	−0.619807	−	0.784754i
$81$	3.09717	+	5.36446i	0.344130	+	0.596051i
$82$	−5.01990	−	7.57123i	−0.554355	−	0.836102i
$83$	−4.45701	+	4.45701i	−0.489221	+	0.489221i	−0.908060	−	0.418840i	$-0.862437\pi$
$83$	−4.45701	+	4.45701i	−0.489221	+	0.489221i	0.418840	+	0.908060i	$0.362437\pi$
$84$	−1.49383	+	2.61198i	−0.162990	+	0.284991i
$85$	−0.279385	+	0.732437i	−0.0303035	+	0.0794440i
$86$	8.07969	+	1.63718i	0.871256	+	0.176542i
$87$	4.31994	+	1.15752i	0.463146	+	0.124100i
$88$	0.434372	+	0.506148i	0.0463042	+	0.0539556i
$89$	−5.18325	−	2.99255i	−0.549423	−	0.317210i	0.199466	−	0.979905i	$-0.436079\pi$
$89$	−5.18325	−	2.99255i	−0.549423	−	0.317210i	−0.748889	+	0.662695i	$0.769413\pi$
$90$	0.344678	−	8.45727i	0.0363322	−	0.891474i
$91$	4.19467	+	3.14447i	0.439721	+	0.329630i
$92$	1.81234	−	13.0451i	0.188950	−	1.36004i
$93$	−2.13200	+	0.571269i	−0.221079	+	0.0592378i
$94$	7.07634	−	8.01110i	0.729868	−	0.826281i
$95$	−9.07369	−	6.56321i	−0.930941	−	0.673372i
$96$	1.47404	−	2.85913i	0.150443	−	0.291809i
$97$	7.34569	+	7.34569i	0.745842	+	0.745842i	0.973695	−	0.227854i	$-0.0731707\pi$
$97$	7.34569	+	7.34569i	0.745842	+	0.745842i	−0.227854	+	0.973695i	$0.573171\pi$
$98$	7.56480	+	6.38543i	0.764160	+	0.645026i
$99$			0.631189i			0.0634369i
$100$	−5.68815	+	8.22466i	−0.568815	+	0.822466i
$101$	1.08582	−	0.626901i	0.108044	−	0.0623790i	−0.445004	−	0.895528i	$-0.646798\pi$
$101$	1.08582	−	0.626901i	0.108044	−	0.0623790i	0.553048	+	0.833149i	$0.313465\pi$
$102$	−0.281389	+	0.0174338i	−0.0278617	+	0.00172620i
$103$	−5.28081	+	1.41499i	−0.520333	+	0.139423i	−0.509421	−	0.860518i	$-0.670140\pi$
$103$	−5.28081	+	1.41499i	−0.520333	+	0.139423i	−0.0109125	+	0.999940i	$0.503474\pi$
$104$	−4.62623	−	3.16339i	−0.453639	−	0.310196i
$105$	3.28138	+	0.741632i	0.320230	+	0.0723759i
$106$	9.12473	−	3.06111i	0.886272	−	0.297322i
$107$	3.85402	−	1.03268i	0.372582	−	0.0998330i	−0.0676689	−	0.997708i	$-0.521556\pi$
$107$	3.85402	−	1.03268i	0.372582	−	0.0998330i	0.440251	+	0.897875i	$0.354889\pi$
$108$	5.98205	−	2.42792i	0.575623	−	0.233626i
$109$	−0.0250972	−	0.0434697i	−0.00240388	−	0.00416364i	0.864821	−	0.502080i	$-0.167432\pi$
$109$	−0.0250972	−	0.0434697i	−0.00240388	−	0.00416364i	−0.867225	+	0.497917i	$0.834099\pi$
$110$	0.398843	−	0.630084i	0.0380282	−	0.0600761i
$111$		−	0.851795i		−	0.0808488i
$112$	−8.37631	−	6.46818i	−0.791487	−	0.611186i
$113$	−7.08336	+	7.08336i	−0.666346	+	0.666346i	−0.956868	−	0.290522i	$-0.906171\pi$
$113$	−7.08336	+	7.08336i	−0.666346	+	0.666346i	0.290522	+	0.956868i	$0.406171\pi$
$114$	0.799830	−	3.94726i	0.0749109	−	0.369694i
$115$	−14.5388	+	2.33417i	−1.35575	+	0.217662i
$116$	−6.12322	+	14.4890i	−0.568527	+	1.34527i
$117$	−1.37268	−	5.12291i	−0.126904	−	0.473613i
$118$	−2.64770	−	1.31748i	−0.243741	−	0.121284i
$119$	−0.110732	+	0.920905i	−0.0101508	+	0.0844192i
$120$	−3.53910	−	0.639542i	−0.323074	−	0.0583819i
$121$	5.47220	−	9.47812i	0.497472	−	0.861647i
$122$	1.34089	+	21.6425i	0.121398	+	1.95942i
$123$	−3.52823	−	0.945386i	−0.318130	−	0.0852426i
$124$	−0.958260	−	7.70370i	−0.0860543	−	0.691812i
$125$	10.6548	+	3.38754i	0.952994	+	0.302990i
$126$	−2.02902	−	9.80739i	−0.180759	−	0.873712i
$127$	2.04418	−	2.04418i	0.181392	−	0.181392i	−0.610570	−	0.791962i	$-0.709060\pi$
$127$	2.04418	−	2.04418i	0.181392	−	0.181392i	0.791962	+	0.610570i	$0.209060\pi$
$128$	9.24688	+	6.51884i	0.817316	+	0.576189i
$129$	2.87071	−	1.65740i	0.252752	−	0.145926i
$130$	−1.86685	+	5.98132i	−0.163733	+	0.524597i
$131$	−10.3994	+	18.0123i	−0.908600	+	1.57374i	−0.0925898	+	0.995704i	$0.529515\pi$
$131$	−10.3994	+	18.0123i	−0.908600	+	1.57374i	−0.816010	+	0.578037i	$0.803819\pi$
$132$	0.265637	+	0.0369047i	0.0231207	+	0.00321214i
$133$	−12.2979	−	4.93286i	−1.06636	−	0.427733i
$134$	15.0186	−	5.03836i	1.29741	−	0.435248i
$135$	−4.55427	−	5.59985i	−0.391969	−	0.481958i
$136$	0.0754541	−	0.988706i	0.00647013	−	0.0847808i
$137$	−5.74401	+	21.4369i	−0.490744	+	1.83148i	0.0619261	+	0.998081i	$0.480276\pi$
$137$	−5.74401	+	21.4369i	−0.490744	+	1.83148i	−0.552670	+	0.833400i	$0.686391\pi$
$138$	−2.92639	−	4.41371i	−0.249111	−	0.375720i
$139$			11.2652i			0.955504i	0.878495	+	0.477752i	$0.158548\pi$
$139$			11.2652i			0.955504i	−0.878495	+	0.477752i	$0.841452\pi$
$140$	−4.17174	+	11.0723i	−0.352576	+	0.935783i
$141$		−	4.29792i		−	0.361950i
$142$	−8.51851	+	5.64797i	−0.714857	+	0.473967i
$143$	0.120934	−	0.451331i	0.0101130	−	0.0377422i
$144$	2.62299	+	10.3803i	0.218582	+	0.865025i
$145$	17.4939	+	1.80137i	1.45279	+	0.149596i
$146$	−4.49294	−	13.3928i	−0.371838	−	1.10839i
$147$	3.97951	−	0.0894091i	0.328224	−	0.00737434i
$148$	2.96738	+	0.412255i	0.243917	+	0.0338871i
$149$	−8.05241	+	13.9472i	−0.659679	+	1.14260i	0.321019	+	0.947073i	$0.395975\pi$
$149$	−8.05241	+	13.9472i	−0.659679	+	1.14260i	−0.980699	+	0.195526i	$0.937359\pi$
$150$	0.475194	+	3.99275i	0.0387994	+	0.326006i
$151$	16.3253	−	9.42540i	1.32853	−	0.767028i	0.343460	−	0.939167i	$-0.388401\pi$
$151$	16.3253	−	9.42540i	1.32853	−	0.767028i	0.985073	+	0.172139i	$0.0550678\pi$
$152$	13.3639	+	4.69675i	1.08395	+	0.380957i
$153$	0.663527	−	0.663527i	0.0536430	−	0.0536430i
$154$	0.277210	−	0.837657i	0.0223382	−	0.0675003i
$155$	−7.92153	+	3.54694i	−0.636273	+	0.284897i
$156$	−2.23624	+	0.278166i	−0.179043	+	0.0222711i
$157$	−4.29418	−	1.15062i	−0.342713	−	0.0918296i	0.0833575	−	0.996520i	$-0.473436\pi$
$157$	−4.29418	−	1.15062i	−0.342713	−	0.0918296i	−0.426070	+	0.904690i	$0.640102\pi$
$158$	−14.0864	+	0.872737i	−1.12065	+	0.0694312i
$159$	1.93497	−	3.35147i	0.153453	−	0.265789i
$160$	3.94083	−	12.0196i	0.311550	−	0.950230i
$161$	−16.0206	+	6.84778i	−1.26260	+	0.539680i
$162$	−3.90255	+	7.84283i	−0.306614	+	0.616191i
$163$	−2.31276	−	8.63135i	−0.181150	−	0.676060i	−0.995422	−	0.0955767i	$-0.969530\pi$
$163$	−2.31276	−	8.63135i	−0.181150	−	0.676060i	0.814272	−	0.580483i	$-0.197136\pi$
$164$	5.00102	−	11.8337i	0.390514	−	0.924053i
$165$	−0.0475307	−	0.296053i	−0.00370026	−	0.0230477i
$166$	−8.73648	−	1.77027i	−0.678082	−	0.137399i
$167$	−9.51696	+	9.51696i	−0.736444	+	0.736444i	−0.971888	−	0.235444i	$-0.924346\pi$
$167$	−9.51696	+	9.51696i	−0.736444	+	0.736444i	0.235444	+	0.971888i	$0.424346\pi$
$168$	−4.24609	+	0.280493i	−0.327593	+	0.0216405i
$169$		−	9.07387i		−	0.697990i
$170$	−1.08164	+	0.243088i	−0.0829581	+	0.0186440i
$171$	6.70251	+	11.6091i	0.512554	+	0.887769i
$172$	4.38448	+	10.8028i	0.334314	+	0.823704i
$173$	−11.1000	+	2.97423i	−0.843915	+	0.226126i	−0.654775	−	0.755824i	$-0.727237\pi$
$173$	−11.1000	+	2.97423i	−0.843915	+	0.226126i	−0.189140	+	0.981950i	$0.560570\pi$
$174$	2.01164	+	5.99640i	0.152502	+	0.454586i
$175$	13.2024	+	0.834021i	0.998011	+	0.0630460i
$176$	−0.257128	+	0.907532i	−0.0193818	+	0.0684078i
$177$	−1.14862	+	0.307772i	−0.0863356	+	0.0231336i
$178$	−0.523406	−	8.44801i	−0.0392309	−	0.633205i
$179$	−0.249103	+	0.143820i	−0.0186188	+	0.0107496i	−0.509281	−	0.860601i	$-0.670088\pi$
$179$	−0.249103	+	0.143820i	−0.0186188	+	0.0107496i	0.490662	+	0.871350i	$0.336755\pi$
$180$	10.2377	−	6.20300i	0.763076	−	0.462344i
$181$			7.48437i			0.556309i	0.960536	+	0.278155i	$0.0897227\pi$
$181$			7.48437i			0.556309i	−0.960536	+	0.278155i	$0.910277\pi$
$182$	−0.428217	+	7.40152i	−0.0317416	+	0.548637i
$183$	6.16526	+	6.16526i	0.455749	+	0.455749i
$184$	16.7922	−	8.05843i	1.23794	−	0.594075i
$185$	−0.530956	−	3.30714i	−0.0390366	−	0.243146i
$186$	−2.33948	−	2.06650i	−0.171539	−	0.151523i
$187$	0.0798539	−	0.0213968i	0.00583949	−	0.00156469i
$188$	14.9726	+	2.08012i	1.09199	+	0.151709i
$189$	−6.83357	−	5.12268i	−0.497069	−	0.372620i
$190$	0.644911	−	15.8240i	0.0467868	−	1.14799i
$191$	2.80382	+	1.61879i	0.202877	+	0.117131i	0.597997	−	0.801498i	$-0.295964\pi$
$191$	2.80382	+	1.61879i	0.202877	+	0.117131i	−0.395120	+	0.918630i	$0.629297\pi$
$192$	4.52193	−	0.496969i	0.326342	−	0.0358657i
$193$	0.450871	+	0.120811i	0.0324544	+	0.00869614i	0.275010	−	0.961441i	$-0.411319\pi$
$193$	0.450871	+	0.120811i	0.0324544	+	0.00869614i	−0.242555	+	0.970138i	$0.577986\pi$
$194$	−2.91761	+	14.3988i	−0.209472	+	1.03377i
$195$	1.02961	+	2.29948i	0.0737322	+	0.164669i
$196$	−1.61454	+	13.9066i	−0.115325	+	0.993328i
$197$	1.22709	−	1.22709i	0.0874263	−	0.0874263i	−0.662041	−	0.749467i	$-0.730310\pi$
$197$	1.22709	−	1.22709i	0.0874263	−	0.0874263i	0.749467	+	0.662041i	$0.230310\pi$
$198$	−0.743967	+	0.493267i	−0.0528714	+	0.0350550i
$199$	−5.55321	−	9.61845i	−0.393657	−	0.681834i	0.599272	−	0.800546i	$-0.295457\pi$
$199$	−5.55321	−	9.61845i	−0.393657	−	0.681834i	−0.992929	+	0.118712i	$0.962123\pi$
$200$	−14.1394	−	0.277003i	−0.999808	−	0.0195871i
$201$	3.18482	−	5.51626i	0.224640	−	0.389087i
$202$	1.58747	+	0.789918i	0.111694	+	0.0555785i
$203$	20.5987	−	2.94760i	1.44575	−	0.206881i
$204$	−0.240451	−	0.318042i	−0.0168349	−	0.0222674i
$205$	−14.2878	−	1.47124i	−0.997907	−	0.102756i
$206$	−5.79470	−	5.11856i	−0.403736	−	0.356627i
$207$	17.0256	+	4.56200i	1.18336	+	0.317081i
$208$	0.113266	−	7.92498i	0.00785361	−	0.549498i
$209$			1.18099i			0.0816908i
$210$	1.69022	+	4.44726i	0.116636	+	0.306890i
$211$	24.0982			1.65899			0.829493	−	0.558517i	$-0.188630\pi$
$211$	24.0982			1.65899			0.829493	+	0.558517i	$0.188630\pi$
$212$	10.7389	+	8.36286i	0.737553	+	0.574364i
$213$	−1.06367	+	3.96967i	−0.0728814	+	0.271997i
$214$	4.22907	+	3.73561i	0.289093	+	0.255361i
$215$	10.1126	−	8.22439i	0.689671	−	0.560899i
$216$	7.53663	+	5.15351i	0.512803	+	0.350652i
$217$	−8.07667	+	6.34283i	−0.548280	+	0.430580i
$218$	0.0316234	−	0.0635525i	0.00214181	−	0.00430432i
$219$	−4.91910	−	2.84005i	−0.332402	−	0.191912i
$220$	1.05436	−	0.0222970i	0.0710846	−	0.00150326i
$221$	−0.601584	+	0.347325i	−0.0404669	+	0.0233636i
$222$	1.00399	−	0.665668i	0.0673834	−	0.0446767i
$223$	17.7237	+	17.7237i	1.18687	+	1.18687i	0.977929	+	0.208938i	$0.0670005\pi$
$223$	17.7237	+	17.7237i	1.18687	+	1.18687i	0.208938	+	0.977929i	$0.432999\pi$
$224$	1.07789	−	14.9278i	0.0720198	−	0.997403i
$225$	−9.98337	−	8.91307i	−0.665558	−	0.594205i
$226$	−13.8845	−	2.81341i	−0.923586	−	0.187145i
$227$	5.14930	−	19.2174i	0.341771	−	1.27551i	−0.554568	−	0.832138i	$-0.687117\pi$
$227$	5.14930	−	19.2174i	0.341771	−	1.27551i	0.896339	−	0.443369i	$-0.146217\pi$
$228$	5.27759	−	2.14200i	0.349517	−	0.141857i
$229$	1.87640	−	3.25001i	0.123996	−	0.214767i	−0.797344	−	0.603525i	$-0.793762\pi$
$229$	1.87640	−	3.25001i	0.123996	−	0.214767i	0.921340	+	0.388758i	$0.127096\pi$
$230$	−14.1131	−	15.3123i	−0.930590	−	1.00967i
$231$	−0.139441	−	0.326228i	−0.00917456	−	0.0214643i
$232$	−21.8631	+	4.10574i	−1.43538	+	0.269555i
$233$	−6.16729	−	23.0166i	−0.404032	−	1.50787i	−0.805833	−	0.592143i	$-0.798282\pi$
$233$	−6.16729	−	23.0166i	−0.404032	−	1.50787i	0.401801	−	0.915727i	$-0.368384\pi$
$234$	4.96551	−	5.62144i	0.324606	−	0.367485i
$235$	−2.67905	−	16.6869i	−0.174762	−	1.08853i
$236$	−0.516264	−	4.15038i	−0.0336059	−	0.270167i
$237$	−4.01275	+	4.01275i	−0.260656	+	0.260656i
$238$	−1.17198	+	0.589160i	−0.0759684	+	0.0381896i
$239$	−1.06392			−0.0688192			−0.0344096	−	0.999408i	$-0.510955\pi$
$239$	−1.06392			−0.0688192			−0.0344096	+	0.999408i	$0.510955\pi$
$240$	−2.01196	−	4.67125i	−0.129871	−	0.301528i
$241$	−8.59911	−	14.8941i	−0.553917	−	0.959413i	−0.997987	−	0.0634205i	$-0.979799\pi$
$241$	−8.59911	−	14.8941i	−0.553917	−	0.959413i	0.444070	−	0.895992i	$-0.353534\pi$
$242$	15.4481	−	0.957103i	0.993041	−	0.0615249i
$243$	3.41806	+	12.7564i	0.219269	+	0.818321i
$244$	−24.4616	+	18.4939i	−1.56600	+	1.18395i
$245$	15.3949	−	2.82771i	0.983546	−	0.180656i
$246$	−1.64297	−	4.89745i	−0.104752	−	0.312250i
$247$	−2.56836	−	9.58525i	−0.163421	−	0.609895i
$248$	8.33129	−	7.14983i	0.529037	−	0.454015i
$249$	−3.10406	+	1.79213i	−0.196712	+	0.113572i
$250$	4.33379	+	15.2059i	0.274093	+	0.961703i
$251$	−20.6170			−1.30133			−0.650667	−	0.759363i	$-0.725510\pi$
$251$	−20.6170			−1.30133			−0.650667	+	0.759363i	$0.725510\pi$
$252$	9.97408	−	10.0559i	0.628308	−	0.633463i
$253$	1.09805	+	1.09805i	0.0690339	+	0.0690339i
$254$	4.00693	+	0.811922i	0.251417	+	0.0509445i
$255$	−0.261254	+	0.361186i	−0.0163604	+	0.0226183i
$256$	−0.457261	+	15.9935i	−0.0285788	+	0.999592i
$257$	14.2616	−	3.82137i	0.889612	−	0.238371i	0.215062	−	0.976600i	$-0.431005\pi$
$257$	14.2616	−	3.82137i	0.889612	−	0.238371i	0.674550	+	0.738230i	$0.264338\pi$
$258$	4.19697	+	2.08839i	0.261292	+	0.130018i
$259$	−1.55767	−	3.64423i	−0.0967889	−	0.226442i
$260$	−8.50896	+	2.47393i	−0.527703	+	0.153427i
$261$	−18.2311	−	10.5258i	−1.12848	−	0.651528i
$262$	−29.3577	+	1.81889i	−1.81372	+	0.112371i
$263$	2.87729	−	10.7382i	0.177421	−	0.662145i	−0.818705	−	0.574214i	$-0.805308\pi$
$263$	2.87729	−	10.7382i	0.177421	−	0.662145i	0.996127	−	0.0879311i	$-0.0280255\pi$
$264$	0.164094	+	0.341941i	0.0100993	+	0.0210450i
$265$	5.42354	−	14.2184i	0.333165	−	0.873429i
$266$	−3.79641	−	18.3502i	−0.232773	−	1.12512i
$267$	−2.40656	−	2.40656i	−0.147279	−	0.147279i
$268$	17.6755	+	13.7646i	1.07970	+	0.840809i
$269$	8.16212	+	14.1372i	0.497653	+	0.861961i	0.999996	−	0.00270756i	$-0.000861845\pi$
$269$	8.16212	+	14.1372i	0.497653	+	0.861961i	−0.502343	+	0.864668i	$0.667529\pi$
$270$	3.04130	−	9.74422i	0.185087	−	0.593015i
$271$	17.0844	+	9.86369i	1.03780	+	0.599176i	0.919210	−	0.393767i	$-0.128828\pi$
$271$	17.0844	+	9.86369i	1.03780	+	0.599176i	0.118593	+	0.992943i	$0.462161\pi$
$272$	1.22433	−	0.683726i	0.0742359	−	0.0414570i
$273$	1.84121	+	2.34451i	0.111435	+	0.141896i
$274$	−29.7561	+	9.98240i	−1.79763	+	0.603059i
$275$	−0.369081	−	1.11981i	−0.0222564	−	0.0675273i
$276$	2.91539	−	6.89852i	0.175486	−	0.415242i
$277$	−18.8999	−	5.06421i	−1.13558	−	0.304279i	−0.358410	−	0.933564i	$-0.616681\pi$
$277$	−18.8999	−	5.06421i	−1.13558	−	0.304279i	−0.777174	+	0.629285i	$0.783348\pi$
$278$	−13.2780	+	8.80364i	−0.796364	+	0.528007i
$279$	10.3895			0.622002
$280$	−16.3109	+	3.73578i	−0.974760	+	0.223255i
$281$	−8.90994			−0.531523			−0.265761	−	0.964039i	$-0.585623\pi$
$281$	−8.90994			−0.531523			−0.265761	+	0.964039i	$0.585623\pi$
$282$	5.06585	−	3.35878i	0.301667	−	0.200012i
$283$	20.1586	+	5.40149i	1.19831	+	0.321085i	0.802164	−	0.597104i	$-0.203682\pi$
$283$	20.1586	+	5.40149i	1.19831	+	0.321085i	0.396142	+	0.918189i	$0.370349\pi$
$284$	−13.3142	−	5.62673i	−0.790054	−	0.333885i
$285$	−4.01795	−	4.94040i	−0.238003	−	0.292644i
$286$	0.626481	−	0.210169i	0.0370446	−	0.0124275i
$287$	−16.8236	+	2.40740i	−0.993067	+	0.142104i
$288$	−10.1852	+	11.2037i	−0.600167	+	0.660187i
$289$	14.6160	+	8.43855i	0.859764	+	0.496385i
$290$	11.5481	+	22.0274i	0.678127	+	1.29349i
$291$	2.95365	+	5.11587i	0.173146	+	0.299897i
$292$	12.2746	−	15.7620i	0.718314	−	0.922403i
$293$	8.26470	+	8.26470i	0.482829	+	0.482829i	0.906034	−	0.423205i	$-0.139095\pi$
$293$	8.26470	+	8.26470i	0.482829	+	0.482829i	−0.423205	+	0.906034i	$0.639095\pi$
$294$	3.21533	+	4.62068i	0.187522	+	0.269483i
$295$	−4.26774	+	1.91092i	−0.248477	+	0.111258i
$296$	1.83306	+	3.81975i	0.106544	+	0.222018i
$297$	−0.197014	+	0.735268i	−0.0114319	+	0.0426646i
$298$	−22.7321	+	1.40839i	−1.31683	+	0.0815859i
$299$	−11.3001	−	6.52410i	−0.653501	−	0.377299i
$300$	−4.33479	+	3.68039i	−0.250269	+	0.212487i
$301$	9.25086	−	12.3405i	0.533211	−	0.711295i
$302$	23.8675	+	11.8764i	1.37342	+	0.683407i
$303$	0.688674	−	0.184530i	0.0395633	−	0.0106010i
$304$	4.90776	+	19.4221i	0.281479	+	1.11393i
$305$	27.7800	+	20.0939i	1.59068	+	1.15058i
$306$	1.30062	+	0.263544i	0.0743516	+	0.0150658i
$307$	−6.93557	−	6.93557i	−0.395834	−	0.395834i	0.480927	−	0.876761i	$-0.340300\pi$
$307$	−6.93557	−	6.93557i	−0.395834	−	0.395834i	−0.876761	+	0.480927i	$0.840300\pi$
$308$	1.20396	−	0.327879i	0.0686021	−	0.0186826i
$309$	−3.10883			−0.176855
$310$	−10.3713	−	6.56502i	−0.589049	−	0.372868i
$311$	−22.0089	+	12.7069i	−1.24801	+	0.720540i	−0.970712	−	0.240244i	$-0.922772\pi$
$311$	−22.0089	+	12.7069i	−1.24801	+	0.720540i	−0.277299	+	0.960784i	$0.589439\pi$
$312$	−2.07547	−	2.41842i	−0.117500	−	0.136916i
$313$	−8.69873	−	32.4641i	−0.491681	−	1.83498i	−0.547876	−	0.836559i	$-0.684564\pi$
$313$	−8.69873	−	32.4641i	−0.491681	−	1.83498i	0.0561952	−	0.998420i	$-0.482103\pi$
$314$	−1.99964	−	5.96064i	−0.112846	−	0.336378i
$315$	−14.0158	−	7.36959i	−0.789703	−	0.415229i
$316$	−12.0370	−	15.9212i	−0.677135	−	0.895639i
$317$	−1.00647	−	3.75620i	−0.0565291	−	0.210969i	0.931884	−	0.362756i	$-0.118164\pi$
$317$	−1.00647	−	3.75620i	−0.0565291	−	0.210969i	−0.988413	+	0.151786i	$0.951497\pi$
$318$	5.46245	−	0.338432i	0.306319	−	0.0189783i
$319$	−0.927325	−	1.60617i	−0.0519202	−	0.0899285i
$320$	17.2469	−	4.74820i	0.964129	−	0.265432i
$321$	2.26888			0.126636
$322$	−20.5913	−	13.5317i	−1.14751	−	0.754091i
$323$	1.24150	−	1.24150i	0.0690786	−	0.0690786i
$324$	−12.2940	+	1.52924i	−0.682997	+	0.0849578i
$325$	5.43088	+	8.28606i	0.301251	+	0.459628i
$326$	8.36616	−	9.47130i	0.463359	−	0.524567i
$327$	−0.00738742	−	0.0275702i	−0.000408525	−	0.00152464i
$328$	17.8563	−	3.35329i	0.985948	−	0.185154i
$329$	−7.85957	−	18.3878i	−0.433312	−	1.01375i
$330$	0.311805	−	0.287385i	0.0171643	−	0.0158200i
$331$	−0.0454402	+	0.0787047i	−0.00249762	+	0.00432600i	−0.867272	−	0.497835i	$-0.834128\pi$
$331$	−0.0454402	+	0.0787047i	−0.00249762	+	0.00432600i	0.864774	+	0.502161i	$0.167462\pi$
$332$	−4.74089	−	11.6809i	−0.260190	−	0.641073i
$333$	−1.03772	+	3.87283i	−0.0568668	+	0.212230i
$334$	−18.6548	−	3.78001i	−1.02075	−	0.206833i
$335$	8.92673	−	23.4024i	0.487720	−	1.27861i
$336$	−3.64888	−	4.78556i	−0.199063	−	0.261074i
$337$	−6.19240	−	6.19240i	−0.337322	−	0.337322i	0.518037	−	0.855358i	$-0.326663\pi$
$337$	−6.19240	−	6.19240i	−0.337322	−	0.337322i	−0.855358	+	0.518037i	$0.826663\pi$
$338$	10.6951	−	7.09112i	0.581739	−	0.385706i
$339$	−4.93316	+	2.84816i	−0.267933	+	0.154691i
$340$	−1.13181	−	1.08493i	−0.0613811	−	0.0588388i
$341$	0.792689	+	0.457659i	0.0429265	+	0.0247836i
$342$	−8.44541	+	16.9725i	−0.456675	+	0.917765i
$343$	16.8620	−	7.65981i	0.910463	−	0.413591i
$344$	−9.30654	+	13.6101i	−0.501775	+	0.733809i
$345$	−8.32921	−	0.857670i	−0.448430	−	0.0461754i
$346$	−12.1801	−	10.7589i	−0.654809	−	0.578404i
$347$	4.77339	−	17.8145i	0.256249	−	0.956335i	−0.711142	−	0.703048i	$-0.751822\pi$
$347$	4.77339	−	17.8145i	0.256249	−	0.956335i	0.967391	−	0.253287i	$-0.0815116\pi$
$348$	−5.49573	+	7.05719i	−0.294602	+	0.378305i
$349$	−11.6253			−0.622288			−0.311144	−	0.950363i	$-0.600712\pi$
$349$	−11.6253			−0.622288			−0.311144	+	0.950363i	$0.600712\pi$
$350$	9.33452	+	16.2132i	0.498951	+	0.866630i
$351$		−	6.39610i		−	0.341398i
$352$	−1.27063	+	0.406156i	−0.0677247	+	0.0216482i
$353$	23.1165	+	6.19405i	1.23037	+	0.329676i	0.814723	−	0.579851i	$-0.196889\pi$
$353$	23.1165	+	6.19405i	1.23037	+	0.329676i	0.415645	+	0.909527i	$0.363556\pi$
$354$	−1.26040	−	1.11333i	−0.0669894	−	0.0591728i
$355$	−1.65531	+	16.0755i	−0.0878549	+	0.853198i
$356$	9.54842	−	7.21895i	0.506065	−	0.382603i
$357$	−0.196357	+	0.489527i	−0.0103923	+	0.0259085i
$358$	−0.364188	−	0.181218i	−0.0192479	−	0.00957768i
$359$	8.28498	−	14.3500i	0.437265	−	0.757365i	−0.560213	−	0.828349i	$-0.689281\pi$
$359$	8.28498	−	14.3500i	0.437265	−	0.757365i	0.997477	+	0.0709840i	$0.0226139\pi$
$360$	15.3120	+	7.21939i	0.807013	+	0.380495i
$361$	3.04077	+	5.26676i	0.160040	+	0.277198i
$362$	−8.82165	+	5.84895i	−0.463655	+	0.307414i
$363$	4.40066	−	4.40066i	0.230975	−	0.230975i
$364$	−9.05864	+	5.27948i	−0.474802	+	0.276720i
$365$	−20.8690	−	7.96038i	−1.09233	−	0.416665i
$366$	−2.44876	+	12.0849i	−0.127999	+	0.631689i
$367$	21.9308	+	5.87635i	1.14478	+	0.306743i	0.780872	−	0.624691i	$-0.214775\pi$
$367$	21.9308	+	5.87635i	1.14478	+	0.306743i	0.363909	+	0.931435i	$0.381442\pi$
$368$	22.6212	+	13.4950i	1.17921	+	0.703477i
$369$	14.8899	+	8.59672i	0.775140	+	0.447527i
$370$	3.48311	−	3.21032i	0.181078	−	0.166897i
$371$	2.14958	−	17.8770i	0.111600	−	0.928129i
$372$	0.607457	−	4.37243i	0.0314952	−	0.226700i
$373$	29.5248	−	7.91115i	1.52874	−	0.409624i	0.606130	−	0.795365i	$-0.292721\pi$
$373$	29.5248	−	7.91115i	1.52874	−	0.409624i	0.922607	+	0.385741i	$0.126054\pi$
$374$	0.0876247	+	0.0774004i	0.00453097	+	0.00400228i
$375$	5.35378	+	3.42880i	0.276468	+	0.177062i
$376$	9.24910	+	19.2734i	0.476986	+	0.993949i
$377$	11.0195	+	11.0195i	0.567531	+	0.567531i
$378$	0.697612	−	12.0579i	0.0358813	−	0.620190i
$379$			19.6852i			1.01116i	0.862779	+	0.505581i	$0.168722\pi$
$379$			19.6852i			1.01116i	−0.862779	+	0.505581i	$0.831278\pi$
$380$	19.1554	−	11.6061i	0.982649	−	0.595383i
$381$	1.42366	−	0.821951i	0.0729363	−	0.0421098i
$382$	0.283130	+	4.56985i	0.0144862	+	0.233814i
$383$	−3.47523	+	0.931184i	−0.177576	+	0.0475813i	−0.346511	−	0.938046i	$-0.612634\pi$
$383$	−3.47523	+	0.931184i	−0.177576	+	0.0475813i	0.168935	+	0.985627i	$0.445967\pi$
$384$	4.11960	+	4.94151i	0.210228	+	0.252170i
$385$	−0.744739	−	1.17968i	−0.0379554	−	0.0601221i
$386$	0.209954	+	0.625843i	0.0106864	+	0.0318546i
$387$	−15.0713	+	4.03835i	−0.766119	+	0.205281i
$388$	−19.2515	+	7.81355i	−0.977349	+	0.396673i
$389$	12.5241	+	21.6924i	0.634999	+	1.09985i	0.986515	+	0.163669i	$0.0523328\pi$
$389$	12.5241	+	21.6924i	0.634999	+	1.09985i	−0.351517	+	0.936182i	$0.614334\pi$
$390$	−1.90571	+	3.01060i	−0.0964993	+	0.152448i
$391$		−	2.30861i		−	0.116752i
$392$	−17.6531	+	8.96482i	−0.891616	+	0.452792i
$393$	−8.36304	+	8.36304i	−0.421860	+	0.421860i
$394$	2.40529	+	0.487382i	0.121177	+	0.0245540i
$395$	−13.0784	+	18.0810i	−0.658047	+	0.909755i
$396$	−1.16280	−	0.491413i	−0.0584331	−	0.0246944i
$397$	1.88470	+	7.03379i	0.0945903	+	0.353016i	0.996957	−	0.0779533i	$-0.0248385\pi$
$397$	1.88470	+	7.03379i	0.0945903	+	0.353016i	−0.902367	+	0.430969i	$0.858172\pi$
$398$	6.99725	−	14.0621i	0.350741	−	0.704871i
$399$	−6.02883	−	4.51942i	−0.301819	−	0.226254i
$400$	−10.7233	−	16.8823i	−0.536165	−	0.844113i
$401$	9.81131	−	16.9937i	0.489953	−	0.848624i	−0.509980	−	0.860186i	$-0.670347\pi$
$401$	9.81131	−	16.9937i	0.489953	−	0.848624i	0.999933	+	0.0115624i	$0.00368050\pi$
$402$	8.99078	−	0.557034i	0.448419	−	0.0277823i
$403$	−7.42899	−	1.99059i	−0.370064	−	0.0991584i
$404$	0.309535	+	2.48843i	0.0153999	+	0.123804i
$405$	5.66039	+	12.6416i	0.281267	+	0.628166i
$406$	19.5719	+	21.9757i	0.971339	+	1.09064i
$407$	−0.249775	+	0.249775i	−0.0123809	+	0.0123809i
$408$	0.186958	−	0.531960i	0.00925582	−	0.0263359i
$409$	−12.4148	+	7.16766i	−0.613870	+	0.354418i	−0.774479	−	0.632600i	$-0.781988\pi$
$409$	−12.4148	+	7.16766i	−0.613870	+	0.354418i	0.160609	+	0.987018i	$0.448654\pi$
$410$	−9.43168	−	17.9905i	−0.465797	−	0.888487i
$411$	−6.31001	+	10.9293i	−0.311250	+	0.539100i
$412$	1.50462	−	10.8302i	0.0741275	−	0.533564i
$413$	−4.35132	+	3.41721i	−0.214114	+	0.168150i
$414$	7.92821	+	23.6328i	0.389650	+	1.16149i
$415$	−10.9346	+	8.89293i	−0.536758	+	0.436537i
$416$	9.42949	−	6.05978i	0.462319	−	0.297105i
$417$	−1.65797	+	6.18763i	−0.0811912	+	0.303010i
$418$	−1.39200	+	0.922930i	−0.0680851	+	0.0451420i
$419$		−	8.68986i		−	0.424528i	−0.977212	−	0.212264i	$-0.931916\pi$
$419$		−	8.68986i		−	0.424528i	0.977212	−	0.212264i	$-0.0680836\pi$
$420$	−3.92099	+	5.46770i	−0.191325	+	0.266797i
$421$			4.25382i			0.207318i	0.994613	+	0.103659i	$0.0330551\pi$
$421$			4.25382i			0.207318i	−0.994613	+	0.103659i	$0.966945\pi$
$422$	18.8324	+	28.4039i	0.916749	+	1.38268i
$423$	−5.23605	+	19.5412i	−0.254586	+	0.950126i
$424$	−1.46475	+	19.1932i	−0.0711344	+	0.932104i
$425$	−0.789194	+	1.56518i	−0.0382815	+	0.0759221i
$426$	−5.51019	+	1.84853i	−0.266970	+	0.0895615i
$427$	37.6511	+	15.1024i	1.82207	+	0.730858i
$428$	−1.09810	+	7.90403i	−0.0530786	+	0.382056i
$429$	0.132850	−	0.230104i	0.00641407	−	0.0111095i
$430$	17.5967	+	5.49217i	0.848590	+	0.264856i
$431$	−12.2368	+	7.06494i	−0.589427	+	0.340306i	−0.764871	−	0.644183i	$-0.777197\pi$
$431$	−12.2368	+	7.06494i	−0.589427	+	0.340306i	0.175444	+	0.984489i	$0.443864\pi$
$432$	−0.184523	+	12.9107i	−0.00887787	+	0.621164i
$433$	−17.9403	+	17.9403i	−0.862156	+	0.862156i	−0.991588	−	0.129432i	$-0.958685\pi$
$433$	−17.9403	+	17.9403i	−0.862156	+	0.862156i	0.129432	+	0.991588i	$0.458685\pi$
$434$	−13.7880	−	4.56292i	−0.661844	−	0.219027i
$435$	9.34375	+	3.56413i	0.447999	+	0.170887i
$436$	0.0996211	−	0.0123918i	0.00477099	−	0.000593462i
$437$	31.8558	+	8.53575i	1.52387	+	0.408320i
$438$	−0.496732	−	8.01749i	−0.0237348	−	0.383090i
$439$	−19.6532	+	34.0403i	−0.937996	+	1.62466i	−0.168793	+	0.985651i	$0.553987\pi$
$439$	−19.6532	+	34.0403i	−0.937996	+	1.62466i	−0.769203	+	0.639005i	$0.779346\pi$
$440$	0.850248	+	1.22532i	0.0405340	+	0.0584147i
$441$	−18.2024	−	4.44163i	−0.866782	−	0.211506i
$442$	−0.879514	−	0.437642i	−0.0418342	−	0.0208165i
$443$	2.23643	+	8.34647i	0.106256	+	0.396553i	0.998485	−	0.0550311i	$-0.0175258\pi$
$443$	2.23643	+	8.34647i	0.106256	+	0.396553i	−0.892229	+	0.451584i	$0.850859\pi$
$444$	1.56921	+	0.663166i	0.0744716	+	0.0314725i
$445$	−10.8437	−	7.84352i	−0.514041	−	0.371818i
$446$	−7.03961	+	34.7414i	−0.333335	+	1.64505i
$447$	−6.47563	+	6.47563i	−0.306287	+	0.306287i
$448$	18.4373	−	10.3954i	0.871083	−	0.491136i
$449$			34.5127i			1.62875i	0.580336	+	0.814377i	$0.302921\pi$
$449$			34.5127i			1.62875i	−0.580336	+	0.814377i	$0.697079\pi$
$450$	2.70372	−	18.7326i	0.127455	−	0.883064i
$451$	0.757375	+	1.31181i	0.0356634	+	0.0617708i
$452$	−7.53451	−	18.5640i	−0.354394	−	0.873178i
$453$	10.3542	−	2.77439i	0.486481	−	0.130352i
$454$	26.6753	−	8.94887i	1.25193	−	0.419991i
$455$	8.61003	+	7.95501i	0.403644	+	0.372936i
$456$	6.64910	+	4.54662i	0.311373	+	0.212915i
$457$	−32.5988	+	8.73482i	−1.52491	+	0.408597i	−0.921354	−	0.388726i	$-0.872915\pi$
$457$	−32.5988	+	8.73482i	−1.52491	+	0.408597i	−0.603553	+	0.797323i	$0.706249\pi$
$458$	5.29709	−	0.328187i	0.247517	−	0.0153352i
$459$	0.980045	−	0.565830i	0.0457446	−	0.0264107i
$460$	7.01905	−	28.6012i	0.327265	−	1.33354i
$461$		−	35.9674i		−	1.67517i	−0.546309	−	0.837584i	$-0.683968\pi$
$461$		−	35.9674i		−	1.67517i	0.546309	−	0.837584i	$-0.316032\pi$
$462$	0.275546	−	0.419300i	0.0128195	−	0.0195076i
$463$	−3.33739	−	3.33739i	−0.155102	−	0.155102i	0.625290	−	0.780392i	$-0.284981\pi$
$463$	−3.33739	−	3.33739i	−0.155102	−	0.155102i	−0.780392	+	0.625290i	$0.784981\pi$
$464$	−21.9251	−	22.5609i	−1.01785	−	1.04736i
$465$	−4.87307	+	0.782363i	−0.225983	+	0.0362812i
$466$	22.3095	−	25.2565i	1.03347	−	1.16998i
$467$	−11.2760	+	3.02140i	−0.521792	+	0.139814i	−0.510096	−	0.860118i	$-0.670390\pi$
$467$	−11.2760	+	3.02140i	−0.521792	+	0.139814i	−0.0116968	+	0.999932i	$0.503723\pi$
$468$	10.5063	+	1.45964i	0.485656	+	0.0674717i
$469$	3.53804	−	29.4242i	0.163372	−	1.35869i
$470$	17.5748	−	16.1984i	0.810665	−	0.747175i
$471$	−2.18931	−	1.26400i	−0.100878	−	0.0582421i
$472$	4.48849	−	3.85198i	0.206600	−	0.177302i
$473$	−1.32779	−	0.355781i	−0.0610520	−	0.0163588i
$474$	−7.86565	−	1.59381i	−0.361281	−	0.0732061i
$475$	−18.6794	−	16.6768i	−0.857071	−	0.765186i
$476$	−1.61032	−	0.920966i	−0.0738089	−	0.0422124i
$477$	−12.8807	+	12.8807i	−0.589766	+	0.589766i
$478$	−0.831441	−	1.25402i	−0.0380292	−	0.0573573i
$479$	−6.17419	−	10.6940i	−0.282106	−	0.488621i	0.689797	−	0.724002i	$-0.257700\pi$
$479$	−6.17419	−	10.6940i	−0.282106	−	0.488621i	−0.971903	+	0.235381i	$0.924366\pi$
$480$	3.93356	−	6.02197i	0.179542	−	0.274864i
$481$	1.48404	−	2.57044i	0.0676666	−	0.117202i
$482$	10.8352	−	21.7751i	0.493529	−	0.991830i
$483$	−9.80747	+	1.40341i	−0.446255	+	0.0638575i
$484$	13.2006	+	17.4603i	0.600028	+	0.793651i
$485$	14.6566	+	18.0215i	0.665523	+	0.818315i
$486$	−12.3644	+	13.9977i	−0.560862	+	0.634950i
$487$	7.72288	+	2.06934i	0.349957	+	0.0937707i	0.429515	−	0.903059i	$-0.358684\pi$
$487$	7.72288	+	2.06934i	0.349957	+	0.0937707i	−0.0795584	+	0.996830i	$0.525351\pi$
$488$	−40.9148	−	14.3796i	−1.85213	−	0.650933i
$489$		−	5.08131i		−	0.229785i
$490$	15.3639	+	15.9358i	0.694071	+	0.719906i
$491$	33.1335			1.49529			0.747646	−	0.664097i	$-0.231184\pi$
$491$	33.1335			1.49529			0.747646	+	0.664097i	$0.231184\pi$
$492$	4.48854	−	5.76382i	0.202359	−	0.259853i
$493$	−0.713628	+	2.66330i	−0.0321402	+	0.119949i
$494$	9.29075	−	10.5180i	0.418011	−	0.473228i
$495$	−0.144567	+	1.40396i	−0.00649782	+	0.0631032i
$496$	14.9381	+	4.23237i	0.670742	+	0.190039i
$497$	2.70860	+	18.9285i	0.121497	+	0.849060i
$498$	−4.53813	−	2.25815i	−0.203359	−	0.101190i
$499$	19.0276	+	10.9856i	0.851794	+	0.491783i	0.861256	−	0.508172i	$-0.169679\pi$
$499$	19.0276	+	10.9856i	0.851794	+	0.491783i	−0.00946208	+	0.999955i	$0.503012\pi$
$500$	−14.5360	+	16.9913i	−0.650068	+	0.759876i
$501$	−6.62804	+	3.82670i	−0.296119	+	0.170964i
$502$	−16.1120	−	24.3007i	−0.719112	−	1.08460i
$503$	−23.4002	−	23.4002i	−1.04336	−	1.04336i	−0.999016	−	0.0443487i	$-0.985879\pi$
$503$	−23.4002	−	23.4002i	−1.04336	−	1.04336i	−0.0443487	−	0.999016i	$-0.514121\pi$
$504$	19.6473	+	3.89761i	0.875160	+	0.173613i
$505$	2.55879	−	1.14572i	0.113865	−	0.0509840i
$506$	−0.436131	+	2.15236i	−0.0193884	+	0.0956841i
$507$	1.33546	−	4.98399i	0.0593097	−	0.221347i
$508$	2.17438	+	5.35738i	0.0964726	+	0.237695i
$509$	6.17412	−	10.6939i	0.273663	−	0.473999i	−0.696134	−	0.717912i	$-0.745098\pi$
$509$	6.17412	−	10.6939i	0.273663	−	0.473999i	0.969797	+	0.243914i	$0.0784313\pi$
$510$	−0.629888	−	0.0256712i	−0.0278919	−	0.00113674i
$511$	−26.2389	−	3.15503i	−1.16074	−	0.139570i
$512$	−19.2084	+	11.9598i	−0.848901	+	0.528551i
$513$	4.18414	+	15.6154i	0.184734	+	0.689437i
$514$	15.6494	+	13.8234i	0.690266	+	0.609724i
$515$	−12.0702	+	1.93785i	−0.531878	+	0.0853920i
$516$	0.818349	+	6.57892i	0.0360258	+	0.289621i
$517$	−1.26029	+	1.26029i	−0.0554276	+	0.0554276i
$518$	3.07806	−	4.68391i	0.135242	−	0.205799i
$519$	−6.53460			−0.286837
$520$	−9.56561	−	8.09595i	−0.419480	−	0.355031i
$521$	−5.28536	−	9.15452i	−0.231556	−	0.401067i	0.726710	−	0.686944i	$-0.241048\pi$
$521$	−5.28536	−	9.15452i	−0.231556	−	0.401067i	−0.958266	+	0.285877i	$0.907715\pi$
$522$	−1.84099	−	29.7144i	−0.0805778	−	1.30056i
$523$	−4.06386	−	15.1665i	−0.177700	−	0.663187i	−0.996076	−	0.0885030i	$-0.971792\pi$
$523$	−4.06386	−	15.1665i	−0.177700	−	0.663187i	0.818376	−	0.574684i	$-0.194875\pi$
$524$	−25.0866	−	33.1817i	−1.09591	−	1.44955i
$525$	7.12894	+	2.40118i	0.311132	+	0.104796i
$526$	14.9054	−	5.00038i	0.649906	−	0.218027i
$527$	−0.352194	−	1.31441i	−0.0153418	−	0.0572565i
$528$	−0.274799	+	0.460636i	−0.0119591	+	0.0200466i
$529$	17.6364	−	10.1824i	0.766799	−	0.442712i
$530$	20.9973	−	4.71893i	0.912065	−	0.204977i
$531$	5.59735			0.242904
$532$	18.6620	−	18.8152i	0.809102	−	0.815742i
$533$	−8.99994	−	8.99994i	−0.389831	−	0.389831i
$534$	0.955854	−	4.71726i	0.0413639	−	0.204136i
$535$	8.80904	−	1.41428i	0.380848	−	0.0611445i
$536$	−2.41086	+	31.5906i	−0.104133	+	1.36450i
$537$	−0.157991	+	0.0423337i	−0.00681783	+	0.00182683i
$538$	−10.2846	+	20.6686i	−0.443399	+	0.891085i
$539$	−1.19314	−	1.14071i	−0.0513923	−	0.0491337i
$540$	13.8620	−	4.03030i	0.596526	−	0.173436i
$541$	16.5412	+	9.55005i	0.711161	+	0.410589i	0.811491	−	0.584365i	$-0.198657\pi$
$541$	16.5412	+	9.55005i	0.711161	+	0.410589i	−0.100330	+	0.994954i	$0.531990\pi$
$542$	1.72519	+	27.8453i	0.0741032	+	1.19606i
$543$	−1.10152	+	4.11093i	−0.0472708	+	0.176417i
$544$	1.76269	+	0.908762i	0.0755748	+	0.0389629i
$545$	−0.0458676	−	0.102438i	−0.00196475	−	0.00438797i
$546$	−1.32453	+	4.00240i	−0.0566848	+	0.171287i
$547$	6.86723	+	6.86723i	0.293622	+	0.293622i	0.838509	−	0.544887i	$-0.183428\pi$
$547$	6.86723	+	6.86723i	0.293622	+	0.293622i	−0.544887	+	0.838509i	$0.683428\pi$
$548$	−35.0200	−	27.2716i	−1.49598	−	1.16499i
$549$	−20.5204	−	35.5424i	−0.875789	−	1.51691i
$550$	1.03146	−	1.31015i	0.0439817	−	0.0558649i
$551$	−34.1115	−	19.6943i	−1.45320	−	0.839004i
$552$	10.4095	−	1.95482i	0.443056	−	0.0832029i
$553$	−9.82965	+	24.5058i	−0.417999	+	1.04209i
$554$	−8.80099	−	26.2345i	−0.373918	−	1.11460i
$555$	0.195095	−	1.89465i	0.00828132	−	0.0804236i
$556$	−20.7533	−	8.77055i	−0.880135	−	0.371954i
$557$	−21.7996	−	5.84118i	−0.923677	−	0.247499i	−0.234521	−	0.972111i	$-0.575352\pi$
$557$	−21.7996	−	5.84118i	−0.923677	−	0.247499i	−0.689157	+	0.724612i	$0.742019\pi$
$558$	8.11926	+	12.2458i	0.343716	+	0.518407i
$559$	11.5505			0.488533
$560$	−17.1500	−	16.3057i	−0.724720	−	0.689043i
$561$	0.0470103			0.00198478
$562$	−6.96302	−	10.5019i	−0.293717	−	0.442997i
$563$	26.3175	+	7.05176i	1.10915	+	0.297196i	0.766486	−	0.642261i	$-0.222003\pi$
$563$	26.3175	+	7.05176i	1.10915	+	0.297196i	0.342666	+	0.939457i	$0.388670\pi$
$564$	7.91781	+	3.34615i	0.333400	+	0.140898i
$565$	−17.3779	+	14.1332i	−0.731095	+	0.594588i
$566$	9.38714	+	27.9817i	0.394571	+	1.17616i
$567$	10.1222	+	12.8892i	0.425093	+	0.541294i
$568$	−3.77283	−	20.0904i	−0.158305	−	0.842974i
$569$	−2.10218	−	1.21369i	−0.0881279	−	0.0508807i	0.455288	−	0.890344i	$-0.349536\pi$
$569$	−2.10218	−	1.21369i	−0.0881279	−	0.0508807i	−0.543416	+	0.839463i	$0.682869\pi$
$570$	2.68315	−	8.59672i	0.112385	−	0.360077i
$571$	−18.6644	−	32.3277i	−0.781081	−	1.35287i	−0.931313	−	0.364221i	$-0.881335\pi$
$571$	−18.6644	−	32.3277i	−0.781081	−	1.35287i	0.150232	−	0.988651i	$-0.451998\pi$
$572$	0.737309	+	0.574174i	0.0308284	+	0.0240074i
$573$	1.30180	+	1.30180i	0.0543836	+	0.0543836i
$574$	−15.9850	−	17.9482i	−0.667202	−	0.749145i
$575$	−32.8733	+	1.86196i	−1.37091	+	0.0776490i
$576$	−21.1652	−	3.24941i	−0.881882	−	0.135392i
$577$	5.67176	−	21.1673i	0.236118	−	0.881206i	−0.741523	−	0.670927i	$-0.765896\pi$
$577$	5.67176	−	21.1673i	0.236118	−	0.881206i	0.977642	−	0.210279i	$-0.0674371\pi$
$578$	1.47593	+	23.8221i	0.0613905	+	0.990870i
$579$	0.229869	+	0.132715i	0.00955303	+	0.00551545i
$580$	−16.9385	+	30.8256i	−0.703332	+	1.27996i
$581$	−10.0028	+	13.3436i	−0.414988	+	0.553587i
$582$	−3.72170	+	7.47938i	−0.154270	+	0.310030i
$583$	−1.55016	+	0.415364i	−0.0642010	+	0.0172026i
$584$	28.1707	+	2.14988i	1.16571	+	0.0889626i
$585$	−1.87991	−	11.7093i	−0.0777247	−	0.484121i
$586$	−3.28263	+	16.2002i	−0.135604	+	0.669223i
$587$	2.09742	+	2.09742i	0.0865699	+	0.0865699i	0.749066	−	0.662496i	$-0.230503\pi$
$587$	2.09742	+	2.09742i	0.0865699	+	0.0865699i	−0.662496	+	0.749066i	$0.730503\pi$
$588$	−2.93354	+	7.40083i	−0.120977	+	0.305205i
$589$	19.4393			0.800982
$590$	−5.58754	−	3.53692i	−0.230036	−	0.145613i
$591$	0.854598	−	0.493402i	0.0351535	−	0.0202959i
$592$	−3.06973	+	5.14567i	−0.126165	+	0.211486i
$593$	2.95437	+	11.0259i	0.121322	+	0.452778i	0.999682	−	0.0252207i	$-0.00802885\pi$
$593$	2.95437	+	11.0259i	0.121322	+	0.452778i	−0.878360	+	0.477999i	$0.841362\pi$
$594$	−1.02061	+	0.342387i	−0.0418760	+	0.0140483i
$595$	−0.457226	+	2.02301i	−0.0187444	+	0.0829355i
$596$	−19.4249	−	25.6931i	−0.795675	−	1.05243i
$597$	−1.63460	−	6.10041i	−0.0668997	−	0.249673i
$598$	−1.14109	−	18.4176i	−0.0466624	−	0.753153i
$599$	−7.39325	−	12.8055i	−0.302080	−	0.523218i	0.674527	−	0.738250i	$-0.264348\pi$
$599$	−7.39325	−	12.8055i	−0.302080	−	0.523218i	−0.976607	+	0.215032i	$0.931014\pi$
$600$	−7.72557	−	2.23313i	−0.315395	−	0.0911673i
$601$	22.4996			0.917778			0.458889	−	0.888494i	$-0.348248\pi$
$601$	22.4996			0.917778			0.458889	+	0.888494i	$0.348248\pi$
$602$	21.7749	+	1.25979i	0.887478	+	0.0513453i
$603$	−21.2006	+	21.2006i	−0.863356	+	0.863356i
$604$	4.65383	+	37.4133i	0.189362	+	1.52232i
$605$	14.3427	−	19.8289i	0.583114	−	0.806159i
$606$	0.755692	+	0.667515i	0.0306979	+	0.0271160i
$607$	−3.77667	−	14.0947i	−0.153290	−	0.572087i	−0.999246	−	0.0388335i	$-0.987636\pi$
$607$	−3.77667	−	14.0947i	−0.153290	−	0.572087i	0.845955	−	0.533254i	$-0.179031\pi$
$608$	−19.0570	+	20.9628i	−0.772864	+	0.850154i
$609$	11.7481	+	1.41261i	0.476055	+	0.0572420i
$610$	−1.97446	+	48.4468i	−0.0799435	+	1.96155i
$611$	7.48807	−	12.9697i	0.302935	−	0.524699i
$612$	0.705788	+	1.73897i	0.0285298	+	0.0702936i
$613$	4.41391	−	16.4729i	0.178276	−	0.665336i	−0.817694	−	0.575653i	$-0.804748\pi$
$613$	4.41391	−	16.4729i	0.178276	−	0.665336i	0.995970	−	0.0896828i	$-0.0285853\pi$
$614$	2.75471	−	13.5948i	0.111171	−	0.548643i
$615$	−7.63133	−	2.91093i	−0.307725	−	0.117380i
$616$	1.32735	+	1.16285i	0.0534803	+	0.0468524i
$617$	−18.0125	−	18.0125i	−0.725156	−	0.725156i	0.244495	−	0.969651i	$-0.421378\pi$
$617$	−18.0125	−	18.0125i	−0.725156	−	0.725156i	−0.969651	+	0.244495i	$0.921378\pi$
$618$	−2.42952	−	3.66430i	−0.0977296	−	0.147400i
$619$	0.981150	−	0.566467i	0.0394358	−	0.0227682i	−0.480153	−	0.877185i	$-0.659419\pi$
$619$	0.981150	−	0.566467i	0.0394358	−	0.0227682i	0.519588	+	0.854417i	$0.326085\pi$
$620$	−0.367012	−	17.3549i	−0.0147395	−	0.696988i
$621$	18.4091	+	10.6285i	0.738730	+	0.426506i
$622$	−32.1770	−	16.0111i	−1.29018	−	0.641987i
$623$	−14.6968	−	5.89513i	−0.588817	−	0.236183i
$624$	1.22858	−	4.33627i	0.0491826	−	0.173590i
$625$	22.9236	+	9.97529i	0.916946	+	0.399012i
$626$	31.4667	−	35.6233i	1.25766	−	1.42379i
$627$	−0.173813	+	0.648681i	−0.00694144	+	0.0259058i
$628$	5.46296	−	7.01510i	0.217996	−	0.279933i
$629$	0.525143			0.0209388
$630$	−2.26688	−	22.2794i	−0.0903145	−	0.887632i
$631$		−	17.5151i		−	0.697265i	−0.937260	−	0.348632i	$-0.886646\pi$
$631$		−	17.5151i		−	0.697265i	0.937260	−	0.348632i	$-0.113354\pi$
$632$	9.35916	−	26.6300i	0.372287	−	1.05928i
$633$	13.2364	+	3.54667i	0.526098	+	0.140968i
$634$	3.64080	−	4.12173i	0.144594	−	0.163695i
$635$	5.01509	−	4.07869i	0.199018	−	0.161858i
$636$	4.66774	+	6.17397i	0.185088	+	0.244814i
$637$	12.1646	+	6.66351i	0.481980	+	0.264018i
$638$	1.16846	−	2.34822i	0.0462599	−	0.0929670i
$639$	9.67230	−	16.7529i	0.382630	−	0.662735i
$640$	19.0748	+	16.6178i	0.753999	+	0.656876i
$641$	6.58287	+	11.4019i	0.260008	+	0.450347i	0.966244	−	0.257630i	$-0.0829415\pi$
$641$	6.58287	+	11.4019i	0.260008	+	0.450347i	−0.706236	+	0.707977i	$0.749608\pi$
$642$	1.77310	+	2.67427i	0.0699787	+	0.105545i
$643$	−12.5875	+	12.5875i	−0.496401	+	0.496401i	−0.910316	−	0.413915i	$-0.864161\pi$
$643$	−12.5875	+	12.5875i	−0.496401	+	0.496401i	0.413915	+	0.910316i	$0.364161\pi$
$644$	−0.142383	−	34.8453i	−0.00561068	−	1.37310i
$645$	6.76495	−	3.02907i	0.266370	−	0.119269i
$646$	2.43353	+	0.493105i	0.0957461	+	0.0194010i
$647$	−2.79545	−	0.749039i	−0.109901	−	0.0294478i	0.203450	−	0.979085i	$-0.434785\pi$
$647$	−2.79545	−	0.749039i	−0.109901	−	0.0294478i	−0.313350	+	0.949638i	$0.601451\pi$
$648$	−11.4101	−	13.2955i	−0.448230	−	0.522296i
$649$	0.427063	+	0.246565i	0.0167637	+	0.00967851i
$650$	−5.52240	+	12.8767i	−0.216606	+	0.505066i
$651$	−5.36977	+	2.29523i	−0.210458	+	0.0899570i
$652$	17.7016	+	2.45927i	0.693250	+	0.0963125i
$653$	28.4547	−	7.62440i	1.11352	−	0.298366i	0.345259	−	0.938507i	$-0.387791\pi$
$653$	28.4547	−	7.62440i	1.11352	−	0.298366i	0.768257	+	0.640141i	$0.221124\pi$
$654$	0.0267232	−	0.0302532i	0.00104496	−	0.00118299i
$655$	−27.2570	+	37.6830i	−1.06502	+	1.47240i
$656$	17.9069	+	18.4262i	0.699148	+	0.719422i
$657$	18.9056	+	18.9056i	0.737577	+	0.737577i
$658$	15.5310	−	23.6337i	0.605463	−	0.921338i
$659$		−	8.69792i		−	0.338823i	−0.985545	−	0.169411i	$-0.945813\pi$
$659$		−	8.69792i		−	0.338823i	0.985545	−	0.169411i	$-0.0541867\pi$
$660$	0.582406	+	0.142929i	0.0226701	+	0.00556350i
$661$	−40.5351	+	23.4030i	−1.57663	+	0.910270i	−0.581309	+	0.813683i	$0.697459\pi$
$661$	−40.5351	+	23.4030i	−1.57663	+	0.910270i	−0.995325	+	0.0965866i	$0.969208\pi$
$662$	−0.128278	+	0.00794763i	−0.00498568	+	0.000308893i
$663$	−0.381549	+	0.102236i	−0.0148181	+	0.00397051i
$664$	10.0630	−	14.7165i	0.390522	−	0.571110i
$665$	−26.2244	−	13.7889i	−1.01694	−	0.534711i
$666$	−5.37578	+	1.80344i	−0.208307	+	0.0698817i
$667$	−50.0271	+	13.4047i	−1.93706	+	0.519033i
$668$	−10.1231	−	24.9420i	−0.391675	−	0.965034i
$669$	7.12657	+	12.3436i	0.275529	+	0.477230i
$670$	34.5600	−	7.76700i	1.33517	−	0.300066i
$671$		−	3.61572i		−	0.139583i
$672$	2.78906	−	8.04071i	0.107590	−	0.310177i
$673$	1.42760	−	1.42760i	0.0550300	−	0.0550300i	−0.679056	−	0.734086i	$-0.737611\pi$
$673$	1.42760	−	1.42760i	0.0550300	−	0.0550300i	0.734086	+	0.679056i	$0.237611\pi$
$674$	2.45954	−	12.1381i	0.0947379	−	0.467543i
$675$	−8.84750	−	13.4989i	−0.340540	−	0.519573i
$676$	16.7163	+	7.06446i	0.642933	+	0.271710i
$677$	5.37564	+	20.0622i	0.206603	+	0.771052i	0.988955	+	0.148216i	$0.0473530\pi$
$677$	5.37564	+	20.0622i	0.206603	+	0.771052i	−0.782352	+	0.622836i	$0.785980\pi$
$678$	−7.21227	−	3.58879i	−0.276986	−	0.137827i
$679$	21.9919	+	16.4859i	0.843972	+	0.632670i
$680$	0.394286	−	2.18190i	0.0151202	−	0.0836721i
$681$	5.65670	−	9.79769i	0.216765	−	0.375448i
$682$	0.0800460	+	1.29198i	0.00306512	+	0.0494724i
$683$	−18.1010	−	4.85014i	−0.692614	−	0.185585i	−0.104694	−	0.994504i	$-0.533386\pi$
$683$	−18.1010	−	4.85014i	−0.692614	−	0.185585i	−0.587920	+	0.808919i	$0.700053\pi$
$684$	−26.6050	+	3.30939i	−1.01727	+	0.126538i
$685$	−17.6864	+	46.3667i	−0.675761	+	1.77158i
$686$	22.2059	+	13.8888i	0.847825	+	0.530276i
$687$	1.50897	−	1.50897i	0.0575708	−	0.0575708i
$688$	−23.3149	−	0.333224i	−0.888871	−	0.0127040i
$689$	11.6782	−	6.74242i	0.444905	−	0.256866i
$690$	−5.49827	−	10.4877i	−0.209316	−	0.399260i
$691$	−5.17992	+	8.97188i	−0.197053	+	0.341306i	−0.947572	−	0.319543i	$-0.896471\pi$
$691$	−5.17992	+	8.97188i	−0.197053	+	0.341306i	0.750518	+	0.660850i	$0.229804\pi$
$692$	3.16264	−	22.7644i	0.120225	−	0.865374i
$693$	0.236557	+	1.65313i	0.00898606	+	0.0627972i
$694$	24.7279	−	8.29559i	0.938659	−	0.314896i
$695$	−2.58018	+	25.0573i	−0.0978720	+	0.950478i
$696$	−12.6130	−	0.962572i	−0.478094	−	0.0364862i
$697$	0.582843	−	2.17520i	0.0220767	−	0.0823915i
$698$	−9.08504	−	13.7025i	−0.343874	−	0.518646i
$699$		−	13.5500i		−	0.512508i
$700$	−11.8152	+	23.6728i	−0.446574	+	0.894747i
$701$		−	4.86515i		−	0.183754i	−0.995770	−	0.0918770i	$-0.970713\pi$
$701$		−	4.86515i		−	0.183754i	0.995770	−	0.0918770i	$-0.0292867\pi$
$702$	7.53892	−	4.99848i	0.284538	−	0.188655i
$703$	−1.94163	+	7.24628i	−0.0732301	+	0.273299i
$704$	−1.47171	−	1.18025i	−0.0554671	−	0.0444824i
$705$	0.984395	−	9.55989i	0.0370745	−	0.360046i
$706$	10.7645	+	32.0874i	0.405128	+	1.20763i
$707$	2.60890	−	2.04884i	0.0981179	−	0.0770547i
$708$	0.327269	−	2.35565i	0.0122995	−	0.0885309i
$709$	5.07440	−	8.78912i	0.190573	−	0.330082i	−0.754867	−	0.655878i	$-0.772299\pi$
$709$	5.07440	−	8.78912i	0.190573	−	0.330082i	0.945440	+	0.325795i	$0.105632\pi$
$710$	−20.2414	+	10.6117i	−0.759645	+	0.398251i
$711$	23.1333	−	13.3560i	0.867566	−	0.500889i
$712$	15.9708	+	5.61296i	0.598530	+	0.210355i
$713$	18.0741	−	18.0741i	0.676880	−	0.676880i
$714$	−0.730444	+	0.151119i	−0.0273362	+	0.00565549i
$715$	0.372367	−	0.976201i	0.0139257	−	0.0365078i
$716$	−0.0710115	−	0.570880i	−0.00265383	−	0.0213348i
$717$	−0.584377	−	0.156583i	−0.0218240	−	0.00584772i
$718$	23.3886	−	1.44907i	0.872856	−	0.0540787i
$719$	4.25143	−	7.36368i	0.158551	−	0.274619i	−0.775795	−	0.630985i	$-0.782651\pi$
$719$	4.25143	−	7.36368i	0.158551	−	0.274619i	0.934347	+	0.356366i	$0.115984\pi$
$720$	3.45683	+	23.6897i	0.128828	+	0.882865i
$721$	−13.3005	+	5.68509i	−0.495337	+	0.211724i
$722$	−3.83148	+	7.69999i	−0.142593	+	0.286564i
$723$	−2.53117	−	9.44644i	−0.0941351	−	0.351317i
$724$	−13.7880	−	5.82696i	−0.512428	−	0.216557i
$725$	38.4993	+	8.01362i	1.42983	+	0.297618i
$726$	8.62601	+	1.74788i	0.320141	+	0.0648700i
$727$	−11.3296	+	11.3296i	−0.420191	+	0.420191i	−0.885269	−	0.465079i	$-0.846026\pi$
$727$	−11.3296	+	11.3296i	−0.420191	+	0.420191i	0.465079	+	0.885269i	$0.346026\pi$
$728$	−13.3020	−	6.55134i	−0.493005	−	0.242809i
$729$		−	11.0733i		−	0.410123i
$730$	−6.92619	−	30.8187i	−0.256350	−	1.14065i
$731$	1.02181	+	1.76983i	0.0377930	+	0.0654595i
$732$	−16.1579	+	6.55794i	−0.597212	+	0.242388i
$733$	−3.26682	+	0.875341i	−0.120663	+	0.0323315i	−0.318645	−	0.947874i	$-0.603228\pi$
$733$	−3.26682	+	0.875341i	−0.120663	+	0.0323315i	0.197982	+	0.980206i	$0.436561\pi$
$734$	10.2124	+	30.4416i	0.376946	+	1.12362i
$735$	8.87213	+	0.712593i	0.327253	+	0.0262844i
$736$	1.77197	+	37.2093i	0.0653156	+	1.37155i
$737$	−2.55144	+	0.683658i	−0.0939837	+	0.0251828i
$738$	1.50359	+	24.2687i	0.0553480	+	0.893341i
$739$	20.0965	−	11.6027i	0.739264	−	0.426814i	−0.0825380	−	0.996588i	$-0.526303\pi$
$739$	20.0965	−	11.6027i	0.739264	−	0.426814i	0.821801	+	0.569774i	$0.192969\pi$
$740$	6.50594	+	1.59663i	0.239163	+	0.0586933i
$741$		−	5.64288i		−	0.207296i
$742$	22.7511	−	11.4370i	0.835218	−	0.419867i
$743$	20.4565	+	20.4565i	0.750477	+	0.750477i	0.974568	−	0.224091i	$-0.0719414\pi$
$743$	20.4565	+	20.4565i	0.750477	+	0.750477i	−0.224091	+	0.974568i	$0.571941\pi$
$744$	5.62840	−	2.70101i	0.206347	−	0.0990239i
$745$	−21.1055	+	29.1785i	−0.773246	+	1.06902i
$746$	32.3980	+	28.6177i	1.18617	+	1.04777i
$747$	16.2965	−	4.36662i	0.596256	−	0.159766i
$748$	−0.0227522	+	0.163769i	−0.000831903	+	0.00598798i
$749$	9.70692	−	4.14907i	0.354683	−	0.151604i
$750$	0.142478	+	8.98993i	0.00520258	+	0.328266i
$751$	10.2309	+	5.90679i	0.373330	+	0.215542i	0.674912	−	0.737898i	$-0.264182\pi$
$751$	10.2309	+	5.90679i	0.373330	+	0.215542i	−0.301583	+	0.953440i	$0.597515\pi$
$752$	−15.4890	+	25.9636i	−0.564825	+	0.946795i
$753$	−11.3243	−	3.03433i	−0.412679	−	0.110577i
$754$	−4.37678	+	21.6000i	−0.159393	+	0.786624i
$755$	38.4712	−	17.2259i	1.40011	−	0.626913i
$756$	14.7575	−	8.60084i	0.536725	−	0.312809i
$757$	24.3040	−	24.3040i	0.883345	−	0.883345i	−0.110528	−	0.993873i	$-0.535254\pi$
$757$	24.3040	−	24.3040i	0.883345	−	0.883345i	0.993873	+	0.110528i	$0.0352541\pi$
$758$	−23.2025	+	15.3838i	−0.842752	+	0.558764i
$759$	0.441518	+	0.764732i	0.0160261	+	0.0277580i
$760$	28.6496	+	13.5079i	1.03923	+	0.489982i
$761$	−3.16336	+	5.47911i	−0.114672	+	0.198617i	−0.917649	−	0.397393i	$-0.869915\pi$
$761$	−3.16336	+	5.47911i	−0.114672	+	0.198617i	0.802977	+	0.596010i	$0.203248\pi$
$762$	2.08139	+	1.03569i	0.0754007	+	0.0375190i
$763$	−0.0820230	−	0.104444i	−0.00296943	−	0.00378114i
$764$	−5.16511	+	3.90501i	−0.186867	+	0.141278i
$765$	1.62786	−	1.32391i	0.0588555	−	0.0478662i
$766$	−3.81341	−	3.36845i	−0.137784	−	0.121707i
$767$	−4.00238	−	1.07243i	−0.144518	−	0.0387234i
$768$	−2.60501	+	8.71741i	−0.0940004	+	0.314562i
$769$		−	35.6232i		−	1.28461i	−0.766451	−	0.642303i	$-0.777979\pi$
$769$		−	35.6232i		−	1.28461i	0.766451	−	0.642303i	$-0.222021\pi$
$770$	0.808456	−	1.79971i	0.0291347	−	0.0648572i
$771$	8.39584			0.302369
$772$	−0.573589	+	0.736558i	−0.0206439	+	0.0265093i
$773$	9.57065	−	35.7182i	0.344232	−	1.28469i	−0.549274	−	0.835642i	$-0.685096\pi$
$773$	9.57065	−	35.7182i	0.344232	−	1.28469i	0.893506	−	0.449051i	$-0.148238\pi$
$774$	−16.5380	−	14.6083i	−0.594446	−	0.525084i
$775$	−18.4323	+	6.07514i	−0.662108	+	0.218225i
$776$	−24.2545	−	16.5851i	−0.870686	−	0.595371i
$777$	−0.319236	−	2.23091i	−0.0114525	−	0.0800336i
$778$	−15.7809	+	31.7143i	−0.565772	+	1.13701i
$779$	27.8599	+	16.0849i	0.998185	+	0.576302i
$780$	−5.03781	+	0.106537i	−0.180382	+	0.00381463i
$781$	1.47594	−	0.852135i	0.0528133	−	0.0304918i
$782$	2.72111	−	1.80416i	0.0973066	−	0.0645165i
$783$	−17.9519	−	17.9519i	−0.641549	−	0.641549i
$784$	−24.3623	−	13.8014i	−0.870083	−	0.492906i
$785$	−9.28803	−	3.54287i	−0.331504	−	0.126451i
$786$	−16.3929	−	3.32169i	−0.584717	−	0.118481i
$787$	−2.57366	+	9.60504i	−0.0917411	+	0.342383i	−0.996505	−	0.0835305i	$-0.973380\pi$
$787$	−2.57366	+	9.60504i	−0.0917411	+	0.342383i	0.904764	+	0.425913i	$0.140047\pi$
$788$	1.30524	+	3.21594i	0.0464973	+	0.114563i
$789$	3.16081	−	5.47468i	0.112528	−	0.194904i
$790$	−31.5323	−	1.28511i	−1.12187	−	0.0457220i
$791$	−15.8971	+	21.2065i	−0.565237	+	0.754017i
$792$	−0.329502	−	1.75460i	−0.0117083	−	0.0623471i
$793$	7.86329	+	29.3462i	0.279233	+	1.04211i
$794$	−6.81768	+	7.71827i	−0.241950	+	0.273911i
$795$	5.07159	−	7.01150i	0.179871	−	0.248672i
$796$	22.0430	−	2.74192i	0.781292	−	0.0971847i
$797$	24.9384	−	24.9384i	0.883365	−	0.883365i	−0.110510	−	0.993875i	$-0.535248\pi$
$797$	24.9384	−	24.9384i	0.883365	−	0.883365i	0.993875	+	0.110510i	$0.0352485\pi$
$798$	0.615460	−	10.6379i	0.0217870	−	0.376578i
$799$	2.64972			0.0937404
$800$	11.5186	−	25.8326i	0.407243	−	0.913320i
$801$	8.00999	+	13.8737i	0.283019	+	0.490203i
$802$	27.6975	−	1.71603i	0.978031	−	0.0605950i
$803$	0.609649	+	2.27524i	0.0215140	+	0.0802915i
$804$	7.68275	+	10.1619i	0.270950	+	0.358382i
$805$	−37.2032	+	11.5622i	−1.31124	+	0.407514i
$806$	−3.45941	−	10.3120i	−0.121852	−	0.363224i
$807$	2.40254	+	8.96639i	0.0845733	+	0.315632i
$808$	−2.69115	+	2.30952i	−0.0946743	+	0.0812486i
$809$	−38.0650	+	21.9768i	−1.33829	+	0.772664i	−0.986554	−	0.163434i	$-0.947743\pi$
$809$	−38.0650	+	21.9768i	−1.33829	+	0.772664i	−0.351740	+	0.936098i	$0.614410\pi$
$810$	−10.4768	+	16.5510i	−0.368117	+	0.581544i
$811$	20.1022			0.705884			0.352942	−	0.935645i	$-0.385181\pi$
$811$	20.1022			0.705884			0.352942	+	0.935645i	$0.385181\pi$
$812$	−10.6070	+	40.2427i	−0.372231	+	1.41224i
$813$	7.93223	+	7.93223i	0.278195	+	0.278195i
$814$	−0.489599	−	0.0992071i	−0.0171604	−	0.00347721i
$815$	−3.16737	−	19.7285i	−0.110948	−	0.691059i
$816$	0.773114	−	0.195357i	0.0270644	−	0.00683888i
$817$	−28.1993	+	7.55598i	−0.986569	+	0.264350i
$818$	−18.1503	−	9.03151i	−0.634611	−	0.315780i
$819$	−5.51511	−	12.9028i	−0.192714	−	0.450861i
$820$	13.8342	−	25.1763i	0.483111	−	0.879193i
$821$	6.84975	+	3.95470i	0.239058	+	0.138020i	0.614744	−	0.788727i	$-0.289259\pi$
$821$	6.84975	+	3.95470i	0.239058	+	0.138020i	−0.375686	+	0.926747i	$0.622593\pi$
$822$	−17.8132	+	1.10364i	−0.621308	+	0.0384938i
$823$	−1.68497	+	6.28841i	−0.0587345	+	0.219200i	−0.989055	−	0.147547i	$-0.952862\pi$
$823$	−1.68497	+	6.28841i	−0.0587345	+	0.219200i	0.930320	+	0.366748i	$0.119529\pi$
$824$	13.9411	−	6.69019i	0.485661	−	0.233064i
$825$	−0.0379150	−	0.669398i	−0.00132003	−	0.0233055i
$826$	−7.42829	−	2.45828i	−0.258463	−	0.0855345i
$827$	−29.2678	−	29.2678i	−1.01774	−	1.01774i	−0.999840	−	0.0179022i	$-0.994301\pi$
$827$	−29.2678	−	29.2678i	−1.01774	−	1.01774i	−0.0179022	−	0.999840i	$-0.505699\pi$
$828$	−21.6596	+	27.8136i	−0.752723	+	0.966588i
$829$	10.8923	+	18.8660i	0.378305	+	0.655244i	0.990816	−	0.135219i	$-0.0431737\pi$
$829$	10.8923	+	18.8660i	0.378305	+	0.655244i	−0.612511	+	0.790462i	$0.709840\pi$
$830$	−19.0271	−	5.93861i	−0.660442	−	0.206132i
$831$	−9.63579	−	5.56322i	−0.334262	−	0.192986i
$832$	14.5116	+	6.37866i	0.503098	+	0.221140i
$833$	0.0551219	+	2.45342i	0.00190986	+	0.0850059i
$834$	−8.58889	+	2.88136i	−0.297409	+	0.0997732i
$835$	−23.3484	+	18.9889i	−0.808005	+	0.657137i
$836$	−2.17567	−	0.919460i	−0.0752471	−	0.0318002i
$837$	12.1026	+	3.24289i	0.418328	+	0.112091i
$838$	10.2425	−	6.79103i	0.353822	−	0.234592i
$839$	36.1955			1.24961			0.624804	−	0.780781i	$-0.285179\pi$
$839$	36.1955			1.24961			0.624804	+	0.780781i	$0.285179\pi$
$840$	−9.50886	−	0.348623i	−0.328087	−	0.0120286i
$841$	32.8566			1.13299
$842$	−5.01387	+	3.32431i	−0.172789	+	0.114563i
$843$	−4.89395	−	1.31133i	−0.168557	−	0.0451646i
$844$	−18.7616	+	44.3947i	−0.645802	+	1.52813i
$845$	2.07828	−	20.1831i	0.0714949	−	0.694318i
$846$	−27.1247	+	9.09963i	−0.932565	+	0.312852i
$847$	10.7799	−	26.8748i	0.370401	−	0.923427i
$848$	−23.7672	+	13.2728i	−0.816170	+	0.455790i
$849$	10.2775	+	5.93373i	0.352724	+	0.203645i
$850$	−2.46158	+	0.292963i	−0.0844315	+	0.0100485i
$851$	4.93211	+	8.54266i	0.169071	+	0.292839i
$852$	−6.48497	−	5.05012i	−0.222171	−	0.173014i
$853$	−29.9386	−	29.9386i	−1.02508	−	1.02508i	−0.999677	−	0.0254017i	$-0.991914\pi$
$853$	−29.9386	−	29.9386i	−1.02508	−	1.02508i	−0.0254017	−	0.999677i	$-0.508086\pi$
$854$	11.6231	+	56.1809i	0.397733	+	1.92247i
$855$	12.2495	+	27.3573i	0.418924	+	0.935601i
$856$	−10.1744	+	4.88261i	−0.347755	+	0.166884i
$857$	12.1966	−	45.5181i	0.416626	−	1.55487i	−0.364930	−	0.931035i	$-0.618907\pi$
$857$	12.1966	−	45.5181i	0.416626	−	1.55487i	0.781556	−	0.623835i	$-0.214426\pi$
$858$	0.375038	−	0.0232359i	0.0128036	−	0.000793261i
$859$	−4.07536	−	2.35291i	−0.139049	−	0.0802802i	0.428861	−	0.903370i	$-0.358915\pi$
$859$	−4.07536	−	2.35291i	−0.139049	−	0.0802802i	−0.567911	+	0.823090i	$0.692248\pi$
$860$	7.27817	+	25.0329i	0.248184	+	0.853615i
$861$	−9.59500	−	1.15373i	−0.326997	−	0.0393189i
$862$	−17.8902	−	8.90208i	−0.609343	−	0.303206i
$863$	41.4760	−	11.1135i	1.41186	−	0.378307i	0.529271	−	0.848453i	$-0.322466\pi$
$863$	41.4760	−	11.1135i	1.41186	−	0.378307i	0.882588	+	0.470146i	$0.155799\pi$
$864$	−15.3617	+	9.87204i	−0.522615	+	0.335854i
$865$	−25.3709	+	4.07326i	−0.862638	+	0.138495i
$866$	−35.1659	−	7.12565i	−1.19499	−	0.242139i
$867$	6.78615	+	6.78615i	0.230470	+	0.230470i
$868$	−5.39694	−	19.8174i	−0.183184	−	0.672646i
$869$	2.35334			0.0798317
$870$	3.10109	+	13.7986i	0.105137	+	0.467815i
$871$	19.2215	−	11.0975i	0.651294	−	0.376025i
$872$	0.0924588	+	0.107737i	0.00313105	+	0.00364843i
$873$	−7.19672	−	26.8585i	−0.243572	−	0.909023i
$874$	14.8341	+	44.2183i	0.501771	+	1.49571i
$875$	29.1753	+	4.87900i	0.986304	+	0.164940i
$876$	9.06182	−	6.85106i	0.306171	−	0.231476i
$877$	−6.48395	−	24.1984i	−0.218947	−	0.817123i	−0.984740	−	0.174035i	$-0.944320\pi$
$877$	−6.48395	−	24.1984i	−0.218947	−	0.817123i	0.765792	−	0.643088i	$-0.222347\pi$
$878$	−55.4812	+	3.43740i	−1.87240	+	0.116007i
$879$	3.32318	+	5.75591i	0.112088	+	0.194142i
$880$	−0.779793	+	1.95974i	−0.0262868	+	0.0660628i
$881$	8.00066			0.269549			0.134775	−	0.990876i	$-0.456969\pi$
$881$	8.00066			0.269549			0.134775	+	0.990876i	$0.456969\pi$
$882$	−8.98976	−	24.9258i	−0.302701	−	0.839297i
$883$	25.5465	−	25.5465i	0.859707	−	0.859707i	−0.131597	−	0.991303i	$-0.542010\pi$
$883$	25.5465	−	25.5465i	0.859707	−	0.859707i	0.991303	+	0.131597i	$0.0420104\pi$
$884$	−0.171493	−	1.37867i	−0.00576793	−	0.0463698i
$885$	−2.62538	+	0.421499i	−0.0882511	+	0.0141685i
$886$	−8.09003	+	9.15870i	−0.271790	+	0.307692i
$887$	−8.34272	−	31.1355i	−0.280121	−	1.04543i	−0.952331	−	0.305066i	$-0.901322\pi$
$887$	−8.34272	−	31.1355i	−0.280121	−	1.04543i	0.672210	−	0.740360i	$-0.265345\pi$
$888$	0.444666	+	2.36785i	0.0149220	+	0.0794598i
$889$	4.58775	−	6.11998i	0.153868	−	0.205258i
$890$	0.770715	−	18.9108i	0.0258344	−	0.633893i
$891$	0.730356	−	1.26501i	0.0244679	−	0.0423796i
$892$	−46.4502	+	18.8526i	−1.55527	+	0.631230i
$893$	−9.79694	+	36.5627i	−0.327842	+	1.22352i
$894$	−12.6933	−	2.57203i	−0.424527	−	0.0860216i
$895$	−0.587022	+	0.262845i	−0.0196220	+	0.00878593i
$896$	26.6614	+	13.6078i	0.890694	+	0.454603i
$897$	−5.24659	−	5.24659i	−0.175178	−	0.175178i
$898$	−40.6792	+	26.9713i	−1.35748	+	0.900043i
$899$	−26.4379	+	15.2639i	−0.881753	+	0.509080i
$900$	24.1926	−	11.4525i	0.806420	−	0.381751i
$901$	2.06622	+	1.19293i	0.0688358	+	0.0397424i
$902$	−0.954321	+	1.91787i	−0.0317754	+	0.0638580i
$903$	6.89743	−	5.41675i	0.229532	−	0.180258i
$904$	15.9928	−	23.3883i	0.531913	−	0.777884i
$905$	−1.71422	+	16.6475i	−0.0569826	+	0.553383i
$906$	11.3618	+	10.0360i	0.377469	+	0.333425i
$907$	−15.0434	+	56.1427i	−0.499508	+	1.86419i	0.00365103	+	0.999993i	$0.498838\pi$
$907$	−15.0434	+	56.1427i	−0.499508	+	1.86419i	−0.503159	+	0.864194i	$0.667829\pi$
$908$	31.3942	+	24.4480i	1.04185	+	0.811336i
$909$	−3.35598			−0.111311
$910$	−2.64773	+	16.3652i	−0.0877714	+	0.542500i
$911$			10.8150i			0.358317i	0.983820	+	0.179159i	$0.0573375\pi$
$911$			10.8150i			0.358317i	−0.983820	+	0.179159i	$0.942662\pi$
$912$	−0.162793	+	11.3903i	−0.00539062	+	0.377169i
$913$	1.43573	+	0.384702i	0.0475156	+	0.0127318i
$914$	−35.7711	−	31.5972i	−1.18320	−	1.04514i
$915$	12.3013	+	15.1255i	0.406670	+	0.500034i
$916$	4.52644	+	5.98707i	0.149558	+	0.197819i
$917$	−20.4861	+	51.0730i	−0.676512	+	1.68658i
$918$	1.43282	+	0.712966i	0.0472902	+	0.0235314i
$919$	9.28418	−	16.0807i	0.306257	−	0.530453i	−0.671283	−	0.741201i	$-0.734257\pi$
$919$	9.28418	−	16.0807i	0.306257	−	0.530453i	0.977540	+	0.210748i	$0.0675900\pi$
$920$	39.1968	−	14.0783i	1.29228	−	0.464149i
$921$	−2.78874	−	4.83024i	−0.0918921	−	0.159162i
$922$	42.3938	−	28.1081i	1.39617	−	0.925691i
$923$	−10.1260	+	10.1260i	−0.333301	+	0.333301i
$924$	0.709554	−	0.00289935i	0.0233426	−	9.53815e-5i
$925$	−0.423541	−	7.47771i	−0.0139259	−	0.245866i
$926$	1.32557	−	6.54184i	0.0435609	−	0.214978i
$927$	14.1348	+	3.78742i	0.464249	+	0.124395i
$928$	9.45777	−	43.4737i	0.310466	−	1.42709i
$929$	−9.26466	−	5.34895i	−0.303964	−	0.175493i	0.340258	−	0.940332i	$-0.389485\pi$
$929$	−9.26466	−	5.34895i	−0.303964	−	0.175493i	−0.644222	+	0.764838i	$0.722819\pi$
$930$	−4.73041	−	5.13236i	−0.155116	−	0.168297i
$931$	−34.0577	−	8.31053i	−1.11620	−	0.272367i
$932$	47.2038	+	6.55797i	1.54621	+	0.214814i
$933$	−13.9589	+	3.74029i	−0.456995	+	0.122452i
$934$	−12.3733	−	10.9296i	−0.404868	−	0.357627i
$935$	0.182520	−	0.0293033i	0.00596905	−	0.000958320i
$936$	6.49015	+	13.5243i	0.212137	+	0.442054i
$937$	−2.12251	−	2.12251i	−0.0693393	−	0.0693393i	0.671587	−	0.740926i	$-0.265613\pi$
$937$	−2.12251	−	2.12251i	−0.0693393	−	0.0693393i	−0.740926	+	0.671587i	$0.765613\pi$
$938$	37.4466	−	18.8245i	1.22267	−	0.614642i
$939$		−	19.1118i		−	0.623688i
$940$	32.8271	+	8.05614i	1.07070	+	0.262762i
$941$	−15.3063	+	8.83708i	−0.498970	+	0.288081i	−0.728288	−	0.685271i	$-0.759684\pi$
$941$	−15.3063	+	8.83708i	−0.498970	+	0.288081i	0.229318	+	0.973352i	$0.426350\pi$
$942$	−0.221077	−	3.56829i	−0.00720309	−	0.116261i
$943$	40.8587	−	10.9480i	1.33054	−	0.356518i
$944$	8.04794	+	2.28020i	0.261938	+	0.0742141i
$945$	−14.0267	−	12.9596i	−0.456288	−	0.421575i
$946$	−0.618305	−	1.84308i	−0.0201028	−	0.0599236i
$947$	22.9204	−	6.14150i	0.744813	−	0.199572i	0.133597	−	0.991036i	$-0.457347\pi$
$947$	22.9204	−	6.14150i	0.744813	−	0.199572i	0.611216	+	0.791464i	$0.290681\pi$
$948$	−4.26833	−	10.5166i	−0.138629	−	0.341563i
$949$	−9.89616	−	17.1407i	−0.321243	−	0.556409i
$950$	5.05881	−	35.0498i	0.164129	−	1.13716i
$951$		−	2.21129i		−	0.0717061i
$952$	−0.172927	−	2.61777i	−0.00560460	−	0.0848424i
$953$	14.0279	−	14.0279i	0.454407	−	0.454407i	−0.442407	−	0.896814i	$-0.645875\pi$
$953$	14.0279	−	14.0279i	0.454407	−	0.454407i	0.896814	+	0.442407i	$0.145875\pi$
$954$	−25.2482	−	5.11603i	−0.817442	−	0.165638i
$955$	5.86579	+	4.24286i	0.189812	+	0.137296i
$956$	0.828315	−	1.96000i	0.0267896	−	0.0633909i
$957$	−0.272960	−	1.01870i	−0.00882355	−	0.0329299i
$958$	7.77970	−	15.6346i	0.251351	−	0.505131i
$959$	−7.00985	+	58.2976i	−0.226360	+	1.88253i
$960$	10.1720	−	0.0697096i	0.328299	−	0.00224987i
$961$	−7.96685	+	13.7990i	−0.256995	+	0.445129i
$962$	4.18948	−	0.259564i	0.135074	−	0.00836867i
$963$	−10.3158	−	2.76412i	−0.332423	−	0.0890725i
$964$	34.1334	−	4.24584i	1.09936	−	0.136749i
$965$	0.975206	+	0.371987i	0.0313930	+	0.0119747i
$966$	−9.31859	−	10.4631i	−0.299821	−	0.336644i
$967$	−0.936828	+	0.936828i	−0.0301264	+	0.0301264i	−0.722009	−	0.691883i	$-0.756781\pi$
$967$	−0.936828	+	0.936828i	−0.0301264	+	0.0301264i	0.691883	+	0.722009i	$0.256781\pi$
$968$	−10.2639	+	29.2043i	−0.329894	+	0.938661i
$969$	0.864633	−	0.499196i	0.0277760	−	0.0160365i
$970$	−9.78755	+	31.3590i	−0.314259	+	1.00688i
$971$	30.9060	−	53.5308i	0.991822	−	1.71789i	0.385382	−	0.922757i	$-0.374070\pi$
$971$	30.9060	−	53.5308i	0.991822	−	1.71789i	0.606440	−	0.795129i	$-0.292597\pi$
$972$	−26.1615	−	3.63458i	−0.839129	−	0.116579i
$973$	4.22198	+	29.5044i	0.135350	+	0.945869i
$974$	3.59626	+	10.7199i	0.115232	+	0.343489i
$975$	1.76350	+	5.35057i	0.0564773	+	0.171355i
$976$	−15.0256	−	59.4627i	−0.480957	−	1.90336i
$977$	7.89658	−	29.4704i	0.252634	−	0.942843i	−0.716757	−	0.697323i	$-0.754375\pi$
$977$	7.89658	−	29.4704i	0.252634	−	0.942843i	0.969391	−	0.245520i	$-0.0789588\pi$
$978$	5.98922	−	3.97099i	0.191514	−	0.126978i
$979$			1.41137i			0.0451075i
$980$	−6.77640	+	30.5627i	−0.216464	+	0.976291i
$981$			0.134353i			0.00428955i
$982$	25.8934	+	39.0536i	0.826293	+	1.24625i
$983$	5.55742	−	20.7406i	0.177254	−	0.661521i	−0.818903	−	0.573932i	$-0.805417\pi$
$983$	5.55742	−	20.7406i	0.177254	−	0.661521i	0.996157	−	0.0875888i	$-0.0279162\pi$
$984$	10.3014	+	0.786163i	0.328397	+	0.0250620i
$985$	3.01047	−	2.44837i	0.0959215	−	0.0780114i
$986$	−3.69686	+	1.24020i	−0.117732	+	0.0394960i
$987$	−1.61077	−	11.2566i	−0.0512715	−	0.358300i
$988$	19.6580	+	2.73106i	0.625403	+	0.0868866i
$989$	−19.1936	+	33.2442i	−0.610320	+	1.05711i
$990$	−1.76779	+	0.926780i	−0.0561840	+	0.0294550i
$991$	6.19726	−	3.57799i	0.196862	−	0.113659i	−0.398329	−	0.917243i	$-0.630410\pi$
$991$	6.19726	−	3.57799i	0.196862	−	0.113659i	0.595191	+	0.803584i	$0.297076\pi$
$992$	6.68539	+	20.9148i	0.212261	+	0.664044i
$993$	−0.0365423	+	0.0365423i	−0.00115964	+	0.00115964i
$994$	−20.1938	+	17.9850i	−0.640510	+	0.570449i
$995$	−10.1490	−	22.6663i	−0.321746	−	0.718569i
$996$	−0.884871	−	7.11370i	−0.0280382	−	0.225406i
$997$	20.5961	+	5.51870i	0.652284	+	0.174779i	0.569761	−	0.821810i	$-0.307036\pi$
$997$	20.5961	+	5.51870i	0.652284	+	0.174779i	0.0825225	+	0.996589i	$0.473702\pi$
$998$	1.92141	+	31.0125i	0.0608213	+	0.981684i
$999$	−2.41767	+	4.18753i	−0.0764917	+	0.132487i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.br.a.107.31	yes	176
5.3	odd	4	inner	280.2.br.a.163.36	yes	176
7.4	even	3	inner	280.2.br.a.67.2	✓	176
8.3	odd	2	inner	280.2.br.a.107.24	yes	176
35.18	odd	12	inner	280.2.br.a.123.24	yes	176
40.3	even	4	inner	280.2.br.a.163.2	yes	176
56.11	odd	6	inner	280.2.br.a.67.36	yes	176
280.123	even	12	inner	280.2.br.a.123.31	yes	176

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.br.a.67.2	✓	176	7.4	even	3	inner
280.2.br.a.67.36	yes	176	56.11	odd	6	inner
280.2.br.a.107.24	yes	176	8.3	odd	2	inner
280.2.br.a.107.31	yes	176	1.1	even	1	trivial
280.2.br.a.123.24	yes	176	35.18	odd	12	inner
280.2.br.a.123.31	yes	176	280.123	even	12	inner
280.2.br.a.163.2	yes	176	40.3	even	4	inner
280.2.br.a.163.36	yes	176	5.3	odd	4	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.br (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.781489 + 1.17868i) q^{2} +(0.549269 + 0.147176i) q^{3} +(-0.778551 + 1.84224i) q^{4} +(2.22431 + 0.229040i) q^{5} +(0.255774 + 0.762426i) q^{6} +(2.61907 - 0.374780i) q^{7} +(-2.77983 + 0.522034i) q^{8} +(-2.31804 - 1.33832i) q^{9} +O(q^{10})\)	\(q+(0.781489 + 1.17868i) q^{2} +(0.549269 + 0.147176i) q^{3} +(-0.778551 + 1.84224i) q^{4} +(2.22431 + 0.229040i) q^{5} +(0.255774 + 0.762426i) q^{6} +(2.61907 - 0.374780i) q^{7} +(-2.77983 + 0.522034i) q^{8} +(-2.31804 - 1.33832i) q^{9} +(1.46831 + 2.80073i) q^{10} +(-0.117907 - 0.204221i) q^{11} +(-0.698767 + 0.897302i) q^{12} +(1.40109 + 1.40109i) q^{13} +(2.48852 + 2.79415i) q^{14} +(1.18803 + 0.453169i) q^{15} +(-2.78772 - 2.86856i) q^{16} +(-0.0907359 + 0.338631i) q^{17} +(-0.234076 - 3.77810i) q^{18} +(-4.33718 - 2.50407i) q^{19} +(-2.15368 + 3.91939i) q^{20} +(1.49373 + 0.179610i) q^{21} +(0.148567 - 0.298570i) q^{22} +(-6.36081 + 1.70437i) q^{23} +(-1.60371 - 0.122388i) q^{24} +(4.89508 + 1.01891i) q^{25} +(-0.556496 + 2.74638i) q^{26} +(-2.28254 - 2.28254i) q^{27} +(-1.34865 + 5.11675i) q^{28} +7.86489 q^{29} +(0.394295 + 1.75445i) q^{30} +(-3.36151 + 1.94077i) q^{31} +(1.20253 - 5.52756i) q^{32} +(-0.0347061 - 0.129525i) q^{33} +(-0.470045 + 0.157688i) q^{34} +(5.91146 - 0.233753i) q^{35} +(4.27023 - 3.22844i) q^{36} +(-0.387695 - 1.44690i) q^{37} +(-0.437970 - 7.06903i) q^{38} +(0.563370 + 0.975785i) q^{39} +(-6.30277 + 0.524470i) q^{40} -6.42351 q^{41} +(0.955633 + 1.90099i) q^{42} +(4.12195 - 4.12195i) q^{43} +(0.468021 - 0.0582169i) q^{44} +(-4.84951 - 3.50776i) q^{45} +(-6.97980 - 6.16538i) q^{46} +(-1.95620 - 7.30064i) q^{47} +(-1.10902 - 1.98589i) q^{48} +(6.71908 - 1.96315i) q^{49} +(2.62449 + 6.56598i) q^{50} +(-0.0996768 + 0.172645i) q^{51} +(-3.67198 + 1.49033i) q^{52} +(1.76141 - 6.57366i) q^{53} +(0.906592 - 4.47414i) q^{54} +(-0.215486 - 0.481255i) q^{55} +(-7.08494 + 2.40907i) q^{56} +(-2.01374 - 2.01374i) q^{57} +(6.14633 + 9.27016i) q^{58} +(-1.81102 + 1.04559i) q^{59} +(-1.75979 + 1.83583i) q^{60} +(13.2787 + 7.66647i) q^{61} +(-4.91451 - 2.44544i) q^{62} +(-6.57269 - 2.63641i) q^{63} +(7.45496 - 2.90233i) q^{64} +(2.79556 + 3.43737i) q^{65} +(0.125546 - 0.142130i) q^{66} +(2.89914 - 10.8197i) q^{67} +(-0.553198 - 0.430799i) q^{68} -3.74463 q^{69} +(4.89526 + 6.78502i) q^{70} +7.22719i q^{71} +(7.14242 + 2.51022i) q^{72} +(-9.64846 - 2.58530i) q^{73} +(1.40244 - 1.58770i) q^{74} +(2.53876 + 1.28009i) q^{75} +(7.98983 - 6.04059i) q^{76} +(-0.385344 - 0.490680i) q^{77} +(-0.709867 + 1.42659i) q^{78} +(-4.98983 + 8.64265i) q^{79} +(-5.54373 - 7.01905i) q^{80} +(3.09717 + 5.36446i) q^{81} +(-5.01990 - 7.57123i) q^{82} +(-4.45701 + 4.45701i) q^{83} +(-1.49383 + 2.61198i) q^{84} +(-0.279385 + 0.732437i) q^{85} +(8.07969 + 1.63718i) q^{86} +(4.31994 + 1.15752i) q^{87} +(0.434372 + 0.506148i) q^{88} +(-5.18325 - 2.99255i) q^{89} +(0.344678 - 8.45727i) q^{90} +(4.19467 + 3.14447i) q^{91} +(1.81234 - 13.0451i) q^{92} +(-2.13200 + 0.571269i) q^{93} +(7.07634 - 8.01110i) q^{94} +(-9.07369 - 6.56321i) q^{95} +(1.47404 - 2.85913i) q^{96} +(7.34569 + 7.34569i) q^{97} +(7.56480 + 6.38543i) q^{98} +0.631189i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8}+O(q^{10}) \) 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8	\( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8} - 2 q^{10} - 8 q^{11} - 14 q^{12} + 4 q^{16} - 4 q^{17} - 16 q^{18} + 8 q^{20} - 4 q^{25} - 20 q^{26} - 40 q^{27} - 34 q^{28} - 12 q^{30} + 18 q^{32} + 20 q^{33} - 32 q^{35} - 48 q^{36} - 16 q^{38} - 22 q^{40} - 32 q^{41} + 30 q^{42} - 16 q^{43} + 20 q^{46} + 36 q^{48} + 68 q^{50} - 8 q^{51} - 32 q^{52} - 52 q^{56} - 40 q^{57} - 14 q^{58} - 50 q^{60} + 56 q^{62} - 4 q^{65} - 60 q^{66} - 28 q^{67} - 40 q^{68} + 64 q^{70} - 48 q^{72} - 4 q^{73} - 4 q^{75} - 144 q^{76} + 184 q^{78} - 40 q^{80} + 32 q^{81} + 74 q^{82} - 16 q^{83} - 56 q^{86} - 64 q^{88} - 56 q^{90} + 16 q^{91} + 44 q^{92} - 104 q^{96} - 48 q^{97} + 70 q^{98}+O(q^{100}) \) 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8 - 2 * q^10 - 8 * q^11 - 14 * q^12 + 4 * q^16 - 4 * q^17 - 16 * q^18 + 8 * q^20 - 4 * q^25 - 20 * q^26 - 40 * q^27 - 34 * q^28 - 12 * q^30 + 18 * q^32 + 20 * q^33 - 32 * q^35 - 48 * q^36 - 16 * q^38 - 22 * q^40 - 32 * q^41 + 30 * q^42 - 16 * q^43 + 20 * q^46 + 36 * q^48 + 68 * q^50 - 8 * q^51 - 32 * q^52 - 52 * q^56 - 40 * q^57 - 14 * q^58 - 50 * q^60 + 56 * q^62 - 4 * q^65 - 60 * q^66 - 28 * q^67 - 40 * q^68 + 64 * q^70 - 48 * q^72 - 4 * q^73 - 4 * q^75 - 144 * q^76 + 184 * q^78 - 40 * q^80 + 32 * q^81 + 74 * q^82 - 16 * q^83 - 56 * q^86 - 64 * q^88 - 56 * q^90 + 16 * q^91 + 44 * q^92 - 104 * q^96 - 48 * q^97 + 70 * q^98

Introduction

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